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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: St000975
-----------------------------------------------------------------------------
Collection: Ordered trees
-----------------------------------------------------------------------------
Description: The length of the boundary minus the length of the trunk of an ordered tree.
This is the size of the set of edges which are either on the left most path or on the right most path from the root.
-----------------------------------------------------------------------------
References:
-----------------------------------------------------------------------------
Code:
def statistic(T):
b = 0
C = T
while len(C) > 0:
C = C[0]
b += 1
C = T
while len(C) > 0:
C = C[-1]
b += 1
while len(T) == 1:
T = T[0]
b -= 1
return b
-----------------------------------------------------------------------------
Statistic values:
[[]] => 1
[[],[]] => 2
[[[]]] => 2
[[],[],[]] => 2
[[],[[]]] => 3
[[[]],[]] => 3
[[[],[]]] => 3
[[[[]]]] => 3
[[],[],[],[]] => 2
[[],[],[[]]] => 3
[[],[[]],[]] => 2
[[],[[],[]]] => 3
[[],[[[]]]] => 4
[[[]],[],[]] => 3
[[[]],[[]]] => 4
[[[],[]],[]] => 3
[[[[]]],[]] => 4
[[[],[],[]]] => 3
[[[],[[]]]] => 4
[[[[]],[]]] => 4
[[[[],[]]]] => 4
[[[[[]]]]] => 4
[[],[],[],[],[]] => 2
[[],[],[],[[]]] => 3
[[],[],[[]],[]] => 2
[[],[],[[],[]]] => 3
[[],[],[[[]]]] => 4
[[],[[]],[],[]] => 2
[[],[[]],[[]]] => 3
[[],[[],[]],[]] => 2
[[],[[[]]],[]] => 2
[[],[[],[],[]]] => 3
[[],[[],[[]]]] => 4
[[],[[[]],[]]] => 3
[[],[[[],[]]]] => 4
[[],[[[[]]]]] => 5
[[[]],[],[],[]] => 3
[[[]],[],[[]]] => 4
[[[]],[[]],[]] => 3
[[[]],[[],[]]] => 4
[[[]],[[[]]]] => 5
[[[],[]],[],[]] => 3
[[[[]]],[],[]] => 4
[[[],[]],[[]]] => 4
[[[[]]],[[]]] => 5
[[[],[],[]],[]] => 3
[[[],[[]]],[]] => 3
[[[[]],[]],[]] => 4
[[[[],[]]],[]] => 4
[[[[[]]]],[]] => 5
[[[],[],[],[]]] => 3
[[[],[],[[]]]] => 4
[[[],[[]],[]]] => 3
[[[],[[],[]]]] => 4
[[[],[[[]]]]] => 5
[[[[]],[],[]]] => 4
[[[[]],[[]]]] => 5
[[[[],[]],[]]] => 4
[[[[[]]],[]]] => 5
[[[[],[],[]]]] => 4
[[[[],[[]]]]] => 5
[[[[[]],[]]]] => 5
[[[[[],[]]]]] => 5
[[[[[[]]]]]] => 5
[[],[],[],[],[],[]] => 2
[[],[],[],[],[[]]] => 3
[[],[],[],[[]],[]] => 2
[[],[],[],[[],[]]] => 3
[[],[],[],[[[]]]] => 4
[[],[],[[]],[],[]] => 2
[[],[],[[]],[[]]] => 3
[[],[],[[],[]],[]] => 2
[[],[],[[[]]],[]] => 2
[[],[],[[],[],[]]] => 3
[[],[],[[],[[]]]] => 4
[[],[],[[[]],[]]] => 3
[[],[],[[[],[]]]] => 4
[[],[],[[[[]]]]] => 5
[[],[[]],[],[],[]] => 2
[[],[[]],[],[[]]] => 3
[[],[[]],[[]],[]] => 2
[[],[[]],[[],[]]] => 3
[[],[[]],[[[]]]] => 4
[[],[[],[]],[],[]] => 2
[[],[[[]]],[],[]] => 2
[[],[[],[]],[[]]] => 3
[[],[[[]]],[[]]] => 3
[[],[[],[],[]],[]] => 2
[[],[[],[[]]],[]] => 2
[[],[[[]],[]],[]] => 2
[[],[[[],[]]],[]] => 2
[[],[[[[]]]],[]] => 2
[[],[[],[],[],[]]] => 3
[[],[[],[],[[]]]] => 4
[[],[[],[[]],[]]] => 3
[[],[[],[[],[]]]] => 4
[[],[[],[[[]]]]] => 5
[[],[[[]],[],[]]] => 3
[[],[[[]],[[]]]] => 4
[[],[[[],[]],[]]] => 3
[[],[[[[]]],[]]] => 3
[[],[[[],[],[]]]] => 4
[[],[[[],[[]]]]] => 5
[[],[[[[]],[]]]] => 4
[[],[[[[],[]]]]] => 5
[[],[[[[[]]]]]] => 6
[[[]],[],[],[],[]] => 3
[[[]],[],[],[[]]] => 4
[[[]],[],[[]],[]] => 3
[[[]],[],[[],[]]] => 4
[[[]],[],[[[]]]] => 5
[[[]],[[]],[],[]] => 3
[[[]],[[]],[[]]] => 4
[[[]],[[],[]],[]] => 3
[[[]],[[[]]],[]] => 3
[[[]],[[],[],[]]] => 4
[[[]],[[],[[]]]] => 5
[[[]],[[[]],[]]] => 4
[[[]],[[[],[]]]] => 5
[[[]],[[[[]]]]] => 6
[[[],[]],[],[],[]] => 3
[[[[]]],[],[],[]] => 4
[[[],[]],[],[[]]] => 4
[[[[]]],[],[[]]] => 5
[[[],[]],[[]],[]] => 3
[[[[]]],[[]],[]] => 4
[[[],[]],[[],[]]] => 4
[[[],[]],[[[]]]] => 5
[[[[]]],[[],[]]] => 5
[[[[]]],[[[]]]] => 6
[[[],[],[]],[],[]] => 3
[[[],[[]]],[],[]] => 3
[[[[]],[]],[],[]] => 4
[[[[],[]]],[],[]] => 4
[[[[[]]]],[],[]] => 5
[[[],[],[]],[[]]] => 4
[[[],[[]]],[[]]] => 4
[[[[]],[]],[[]]] => 5
[[[[],[]]],[[]]] => 5
[[[[[]]]],[[]]] => 6
[[[],[],[],[]],[]] => 3
[[[],[],[[]]],[]] => 3
[[[],[[]],[]],[]] => 3
[[[],[[],[]]],[]] => 3
[[[],[[[]]]],[]] => 3
[[[[]],[],[]],[]] => 4
[[[[]],[[]]],[]] => 4
[[[[],[]],[]],[]] => 4
[[[[[]]],[]],[]] => 5
[[[[],[],[]]],[]] => 4
[[[[],[[]]]],[]] => 4
[[[[[]],[]]],[]] => 5
[[[[[],[]]]],[]] => 5
[[[[[[]]]]],[]] => 6
[[[],[],[],[],[]]] => 3
[[[],[],[],[[]]]] => 4
[[[],[],[[]],[]]] => 3
[[[],[],[[],[]]]] => 4
[[[],[],[[[]]]]] => 5
[[[],[[]],[],[]]] => 3
[[[],[[]],[[]]]] => 4
[[[],[[],[]],[]]] => 3
[[[],[[[]]],[]]] => 3
[[[],[[],[],[]]]] => 4
[[[],[[],[[]]]]] => 5
[[[],[[[]],[]]]] => 4
[[[],[[[],[]]]]] => 5
[[[],[[[[]]]]]] => 6
[[[[]],[],[],[]]] => 4
[[[[]],[],[[]]]] => 5
[[[[]],[[]],[]]] => 4
[[[[]],[[],[]]]] => 5
[[[[]],[[[]]]]] => 6
[[[[],[]],[],[]]] => 4
[[[[[]]],[],[]]] => 5
[[[[],[]],[[]]]] => 5
[[[[[]]],[[]]]] => 6
[[[[],[],[]],[]]] => 4
[[[[],[[]]],[]]] => 4
[[[[[]],[]],[]]] => 5
[[[[[],[]]],[]]] => 5
[[[[[[]]]],[]]] => 6
[[[[],[],[],[]]]] => 4
[[[[],[],[[]]]]] => 5
[[[[],[[]],[]]]] => 4
[[[[],[[],[]]]]] => 5
[[[[],[[[]]]]]] => 6
[[[[[]],[],[]]]] => 5
[[[[[]],[[]]]]] => 6
[[[[[],[]],[]]]] => 5
[[[[[[]]],[]]]] => 6
[[[[[],[],[]]]]] => 5
[[[[[],[[]]]]]] => 6
[[[[[[]],[]]]]] => 6
[[[[[[],[]]]]]] => 6
[[[[[[[]]]]]]] => 6
[[],[],[],[],[],[],[]] => 2
[[],[],[],[],[],[[]]] => 3
[[],[],[],[],[[]],[]] => 2
[[],[],[],[],[[],[]]] => 3
[[],[],[],[],[[[]]]] => 4
[[],[],[],[[]],[],[]] => 2
[[],[],[],[[]],[[]]] => 3
[[],[],[],[[],[]],[]] => 2
[[],[],[],[[[]]],[]] => 2
[[],[],[],[[],[],[]]] => 3
[[],[],[],[[],[[]]]] => 4
[[],[],[],[[[]],[]]] => 3
[[],[],[],[[[],[]]]] => 4
[[],[],[],[[[[]]]]] => 5
[[],[],[[]],[],[],[]] => 2
[[],[],[[]],[],[[]]] => 3
[[],[],[[]],[[]],[]] => 2
[[],[],[[]],[[],[]]] => 3
[[],[],[[]],[[[]]]] => 4
[[],[],[[],[]],[],[]] => 2
[[],[],[[[]]],[],[]] => 2
[[],[],[[],[]],[[]]] => 3
[[],[],[[[]]],[[]]] => 3
[[],[],[[],[],[]],[]] => 2
[[],[],[[],[[]]],[]] => 2
[[],[],[[[]],[]],[]] => 2
[[],[],[[[],[]]],[]] => 2
[[],[],[[[[]]]],[]] => 2
[[],[],[[],[],[],[]]] => 3
[[],[],[[],[],[[]]]] => 4
[[],[],[[],[[]],[]]] => 3
[[],[],[[],[[],[]]]] => 4
[[],[],[[],[[[]]]]] => 5
[[],[],[[[]],[],[]]] => 3
[[],[],[[[]],[[]]]] => 4
[[],[],[[[],[]],[]]] => 3
[[],[],[[[[]]],[]]] => 3
[[],[],[[[],[],[]]]] => 4
[[],[],[[[],[[]]]]] => 5
[[],[],[[[[]],[]]]] => 4
[[],[],[[[[],[]]]]] => 5
[[],[],[[[[[]]]]]] => 6
[[],[[]],[],[],[],[]] => 2
[[],[[]],[],[],[[]]] => 3
[[],[[]],[],[[]],[]] => 2
[[],[[]],[],[[],[]]] => 3
[[],[[]],[],[[[]]]] => 4
[[],[[]],[[]],[],[]] => 2
[[],[[]],[[]],[[]]] => 3
[[],[[]],[[],[]],[]] => 2
[[],[[]],[[[]]],[]] => 2
[[],[[]],[[],[],[]]] => 3
[[],[[]],[[],[[]]]] => 4
[[],[[]],[[[]],[]]] => 3
[[],[[]],[[[],[]]]] => 4
[[],[[]],[[[[]]]]] => 5
[[],[[],[]],[],[],[]] => 2
[[],[[[]]],[],[],[]] => 2
[[],[[],[]],[],[[]]] => 3
[[],[[[]]],[],[[]]] => 3
[[],[[],[]],[[]],[]] => 2
[[],[[[]]],[[]],[]] => 2
[[],[[],[]],[[],[]]] => 3
[[],[[],[]],[[[]]]] => 4
[[],[[[]]],[[],[]]] => 3
[[],[[[]]],[[[]]]] => 4
[[],[[],[],[]],[],[]] => 2
[[],[[],[[]]],[],[]] => 2
[[],[[[]],[]],[],[]] => 2
[[],[[[],[]]],[],[]] => 2
[[],[[[[]]]],[],[]] => 2
[[],[[],[],[]],[[]]] => 3
[[],[[],[[]]],[[]]] => 3
[[],[[[]],[]],[[]]] => 3
[[],[[[],[]]],[[]]] => 3
[[],[[[[]]]],[[]]] => 3
[[],[[],[],[],[]],[]] => 2
[[],[[],[],[[]]],[]] => 2
[[],[[],[[]],[]],[]] => 2
[[],[[],[[],[]]],[]] => 2
[[],[[],[[[]]]],[]] => 2
[[],[[[]],[],[]],[]] => 2
[[],[[[]],[[]]],[]] => 2
[[],[[[],[]],[]],[]] => 2
[[],[[[[]]],[]],[]] => 2
[[],[[[],[],[]]],[]] => 2
[[],[[[],[[]]]],[]] => 2
[[],[[[[]],[]]],[]] => 2
[[],[[[[],[]]]],[]] => 2
[[],[[[[[]]]]],[]] => 2
[[],[[],[],[],[],[]]] => 3
[[],[[],[],[],[[]]]] => 4
[[],[[],[],[[]],[]]] => 3
[[],[[],[],[[],[]]]] => 4
[[],[[],[],[[[]]]]] => 5
[[],[[],[[]],[],[]]] => 3
[[],[[],[[]],[[]]]] => 4
[[],[[],[[],[]],[]]] => 3
[[],[[],[[[]]],[]]] => 3
[[],[[],[[],[],[]]]] => 4
[[],[[],[[],[[]]]]] => 5
[[],[[],[[[]],[]]]] => 4
[[],[[],[[[],[]]]]] => 5
[[],[[],[[[[]]]]]] => 6
[[],[[[]],[],[],[]]] => 3
[[],[[[]],[],[[]]]] => 4
[[],[[[]],[[]],[]]] => 3
[[],[[[]],[[],[]]]] => 4
[[],[[[]],[[[]]]]] => 5
[[],[[[],[]],[],[]]] => 3
[[],[[[[]]],[],[]]] => 3
[[],[[[],[]],[[]]]] => 4
[[],[[[[]]],[[]]]] => 4
[[],[[[],[],[]],[]]] => 3
[[],[[[],[[]]],[]]] => 3
[[],[[[[]],[]],[]]] => 3
[[],[[[[],[]]],[]]] => 3
[[],[[[[[]]]],[]]] => 3
[[],[[[],[],[],[]]]] => 4
[[],[[[],[],[[]]]]] => 5
[[],[[[],[[]],[]]]] => 4
[[],[[[],[[],[]]]]] => 5
[[],[[[],[[[]]]]]] => 6
[[],[[[[]],[],[]]]] => 4
[[],[[[[]],[[]]]]] => 5
[[],[[[[],[]],[]]]] => 4
[[],[[[[[]]],[]]]] => 4
[[],[[[[],[],[]]]]] => 5
[[],[[[[],[[]]]]]] => 6
[[],[[[[[]],[]]]]] => 5
[[],[[[[[],[]]]]]] => 6
[[],[[[[[[]]]]]]] => 7
[[[]],[],[],[],[],[]] => 3
[[[]],[],[],[],[[]]] => 4
[[[]],[],[],[[]],[]] => 3
[[[]],[],[],[[],[]]] => 4
[[[]],[],[],[[[]]]] => 5
[[[]],[],[[]],[],[]] => 3
[[[]],[],[[]],[[]]] => 4
[[[]],[],[[],[]],[]] => 3
[[[]],[],[[[]]],[]] => 3
[[[]],[],[[],[],[]]] => 4
[[[]],[],[[],[[]]]] => 5
[[[]],[],[[[]],[]]] => 4
[[[]],[],[[[],[]]]] => 5
[[[]],[],[[[[]]]]] => 6
[[[]],[[]],[],[],[]] => 3
[[[]],[[]],[],[[]]] => 4
[[[]],[[]],[[]],[]] => 3
[[[]],[[]],[[],[]]] => 4
[[[]],[[]],[[[]]]] => 5
[[[]],[[],[]],[],[]] => 3
[[[]],[[[]]],[],[]] => 3
[[[]],[[],[]],[[]]] => 4
[[[]],[[[]]],[[]]] => 4
[[[]],[[],[],[]],[]] => 3
[[[]],[[],[[]]],[]] => 3
[[[]],[[[]],[]],[]] => 3
[[[]],[[[],[]]],[]] => 3
[[[]],[[[[]]]],[]] => 3
[[[]],[[],[],[],[]]] => 4
[[[]],[[],[],[[]]]] => 5
[[[]],[[],[[]],[]]] => 4
[[[]],[[],[[],[]]]] => 5
[[[]],[[],[[[]]]]] => 6
[[[]],[[[]],[],[]]] => 4
[[[]],[[[]],[[]]]] => 5
[[[]],[[[],[]],[]]] => 4
[[[]],[[[[]]],[]]] => 4
[[[]],[[[],[],[]]]] => 5
[[[]],[[[],[[]]]]] => 6
[[[]],[[[[]],[]]]] => 5
[[[]],[[[[],[]]]]] => 6
[[[]],[[[[[]]]]]] => 7
[[[],[]],[],[],[],[]] => 3
[[[[]]],[],[],[],[]] => 4
[[[],[]],[],[],[[]]] => 4
[[[[]]],[],[],[[]]] => 5
[[[],[]],[],[[]],[]] => 3
[[[[]]],[],[[]],[]] => 4
[[[],[]],[],[[],[]]] => 4
[[[],[]],[],[[[]]]] => 5
[[[[]]],[],[[],[]]] => 5
[[[[]]],[],[[[]]]] => 6
[[[],[]],[[]],[],[]] => 3
[[[[]]],[[]],[],[]] => 4
[[[],[]],[[]],[[]]] => 4
[[[[]]],[[]],[[]]] => 5
[[[],[]],[[],[]],[]] => 3
[[[],[]],[[[]]],[]] => 3
[[[[]]],[[],[]],[]] => 4
[[[[]]],[[[]]],[]] => 4
[[[],[]],[[],[],[]]] => 4
[[[],[]],[[],[[]]]] => 5
[[[],[]],[[[]],[]]] => 4
[[[],[]],[[[],[]]]] => 5
[[[],[]],[[[[]]]]] => 6
[[[[]]],[[],[],[]]] => 5
[[[[]]],[[],[[]]]] => 6
[[[[]]],[[[]],[]]] => 5
[[[[]]],[[[],[]]]] => 6
[[[[]]],[[[[]]]]] => 7
[[[],[],[]],[],[],[]] => 3
[[[],[[]]],[],[],[]] => 3
[[[[]],[]],[],[],[]] => 4
[[[[],[]]],[],[],[]] => 4
[[[[[]]]],[],[],[]] => 5
[[[],[],[]],[],[[]]] => 4
[[[],[[]]],[],[[]]] => 4
[[[[]],[]],[],[[]]] => 5
[[[[],[]]],[],[[]]] => 5
[[[[[]]]],[],[[]]] => 6
[[[],[],[]],[[]],[]] => 3
[[[],[[]]],[[]],[]] => 3
[[[[]],[]],[[]],[]] => 4
[[[[],[]]],[[]],[]] => 4
[[[[[]]]],[[]],[]] => 5
[[[],[],[]],[[],[]]] => 4
[[[],[],[]],[[[]]]] => 5
[[[],[[]]],[[],[]]] => 4
[[[],[[]]],[[[]]]] => 5
[[[[]],[]],[[],[]]] => 5
[[[[]],[]],[[[]]]] => 6
[[[[],[]]],[[],[]]] => 5
[[[[],[]]],[[[]]]] => 6
[[[[[]]]],[[],[]]] => 6
[[[[[]]]],[[[]]]] => 7
[[[],[],[],[]],[],[]] => 3
[[[],[],[[]]],[],[]] => 3
[[[],[[]],[]],[],[]] => 3
[[[],[[],[]]],[],[]] => 3
[[[],[[[]]]],[],[]] => 3
[[[[]],[],[]],[],[]] => 4
[[[[]],[[]]],[],[]] => 4
[[[[],[]],[]],[],[]] => 4
[[[[[]]],[]],[],[]] => 5
[[[[],[],[]]],[],[]] => 4
[[[[],[[]]]],[],[]] => 4
[[[[[]],[]]],[],[]] => 5
[[[[[],[]]]],[],[]] => 5
[[[[[[]]]]],[],[]] => 6
[[[],[],[],[]],[[]]] => 4
[[[],[],[[]]],[[]]] => 4
[[[],[[]],[]],[[]]] => 4
[[[],[[],[]]],[[]]] => 4
[[[],[[[]]]],[[]]] => 4
[[[[]],[],[]],[[]]] => 5
[[[[]],[[]]],[[]]] => 5
[[[[],[]],[]],[[]]] => 5
[[[[[]]],[]],[[]]] => 6
[[[[],[],[]]],[[]]] => 5
[[[[],[[]]]],[[]]] => 5
[[[[[]],[]]],[[]]] => 6
[[[[[],[]]]],[[]]] => 6
[[[[[[]]]]],[[]]] => 7
[[[],[],[],[],[]],[]] => 3
[[[],[],[],[[]]],[]] => 3
[[[],[],[[]],[]],[]] => 3
[[[],[],[[],[]]],[]] => 3
[[[],[],[[[]]]],[]] => 3
[[[],[[]],[],[]],[]] => 3
[[[],[[]],[[]]],[]] => 3
[[[],[[],[]],[]],[]] => 3
[[[],[[[]]],[]],[]] => 3
[[[],[[],[],[]]],[]] => 3
[[[],[[],[[]]]],[]] => 3
[[[],[[[]],[]]],[]] => 3
[[[],[[[],[]]]],[]] => 3
[[[],[[[[]]]]],[]] => 3
[[[[]],[],[],[]],[]] => 4
[[[[]],[],[[]]],[]] => 4
[[[[]],[[]],[]],[]] => 4
[[[[]],[[],[]]],[]] => 4
[[[[]],[[[]]]],[]] => 4
[[[[],[]],[],[]],[]] => 4
[[[[[]]],[],[]],[]] => 5
[[[[],[]],[[]]],[]] => 4
[[[[[]]],[[]]],[]] => 5
[[[[],[],[]],[]],[]] => 4
[[[[],[[]]],[]],[]] => 4
[[[[[]],[]],[]],[]] => 5
[[[[[],[]]],[]],[]] => 5
[[[[[[]]]],[]],[]] => 6
[[[[],[],[],[]]],[]] => 4
[[[[],[],[[]]]],[]] => 4
[[[[],[[]],[]]],[]] => 4
[[[[],[[],[]]]],[]] => 4
[[[[],[[[]]]]],[]] => 4
[[[[[]],[],[]]],[]] => 5
[[[[[]],[[]]]],[]] => 5
[[[[[],[]],[]]],[]] => 5
[[[[[[]]],[]]],[]] => 6
[[[[[],[],[]]]],[]] => 5
[[[[[],[[]]]]],[]] => 5
[[[[[[]],[]]]],[]] => 6
[[[[[[],[]]]]],[]] => 6
[[[[[[[]]]]]],[]] => 7
[[[],[],[],[],[],[]]] => 3
[[[],[],[],[],[[]]]] => 4
[[[],[],[],[[]],[]]] => 3
[[[],[],[],[[],[]]]] => 4
[[[],[],[],[[[]]]]] => 5
[[[],[],[[]],[],[]]] => 3
[[[],[],[[]],[[]]]] => 4
[[[],[],[[],[]],[]]] => 3
[[[],[],[[[]]],[]]] => 3
[[[],[],[[],[],[]]]] => 4
[[[],[],[[],[[]]]]] => 5
[[[],[],[[[]],[]]]] => 4
[[[],[],[[[],[]]]]] => 5
[[[],[],[[[[]]]]]] => 6
[[[],[[]],[],[],[]]] => 3
[[[],[[]],[],[[]]]] => 4
[[[],[[]],[[]],[]]] => 3
[[[],[[]],[[],[]]]] => 4
[[[],[[]],[[[]]]]] => 5
[[[],[[],[]],[],[]]] => 3
[[[],[[[]]],[],[]]] => 3
[[[],[[],[]],[[]]]] => 4
[[[],[[[]]],[[]]]] => 4
[[[],[[],[],[]],[]]] => 3
[[[],[[],[[]]],[]]] => 3
[[[],[[[]],[]],[]]] => 3
[[[],[[[],[]]],[]]] => 3
[[[],[[[[]]]],[]]] => 3
[[[],[[],[],[],[]]]] => 4
[[[],[[],[],[[]]]]] => 5
[[[],[[],[[]],[]]]] => 4
[[[],[[],[[],[]]]]] => 5
[[[],[[],[[[]]]]]] => 6
[[[],[[[]],[],[]]]] => 4
[[[],[[[]],[[]]]]] => 5
[[[],[[[],[]],[]]]] => 4
[[[],[[[[]]],[]]]] => 4
[[[],[[[],[],[]]]]] => 5
[[[],[[[],[[]]]]]] => 6
[[[],[[[[]],[]]]]] => 5
[[[],[[[[],[]]]]]] => 6
[[[],[[[[[]]]]]]] => 7
[[[[]],[],[],[],[]]] => 4
[[[[]],[],[],[[]]]] => 5
[[[[]],[],[[]],[]]] => 4
[[[[]],[],[[],[]]]] => 5
[[[[]],[],[[[]]]]] => 6
[[[[]],[[]],[],[]]] => 4
[[[[]],[[]],[[]]]] => 5
[[[[]],[[],[]],[]]] => 4
[[[[]],[[[]]],[]]] => 4
[[[[]],[[],[],[]]]] => 5
[[[[]],[[],[[]]]]] => 6
[[[[]],[[[]],[]]]] => 5
[[[[]],[[[],[]]]]] => 6
[[[[]],[[[[]]]]]] => 7
[[[[],[]],[],[],[]]] => 4
[[[[[]]],[],[],[]]] => 5
[[[[],[]],[],[[]]]] => 5
[[[[[]]],[],[[]]]] => 6
[[[[],[]],[[]],[]]] => 4
[[[[[]]],[[]],[]]] => 5
[[[[],[]],[[],[]]]] => 5
[[[[],[]],[[[]]]]] => 6
[[[[[]]],[[],[]]]] => 6
[[[[[]]],[[[]]]]] => 7
[[[[],[],[]],[],[]]] => 4
[[[[],[[]]],[],[]]] => 4
[[[[[]],[]],[],[]]] => 5
[[[[[],[]]],[],[]]] => 5
[[[[[[]]]],[],[]]] => 6
[[[[],[],[]],[[]]]] => 5
[[[[],[[]]],[[]]]] => 5
[[[[[]],[]],[[]]]] => 6
[[[[[],[]]],[[]]]] => 6
[[[[[[]]]],[[]]]] => 7
[[[[],[],[],[]],[]]] => 4
[[[[],[],[[]]],[]]] => 4
[[[[],[[]],[]],[]]] => 4
[[[[],[[],[]]],[]]] => 4
[[[[],[[[]]]],[]]] => 4
[[[[[]],[],[]],[]]] => 5
[[[[[]],[[]]],[]]] => 5
[[[[[],[]],[]],[]]] => 5
[[[[[[]]],[]],[]]] => 6
[[[[[],[],[]]],[]]] => 5
[[[[[],[[]]]],[]]] => 5
[[[[[[]],[]]],[]]] => 6
[[[[[[],[]]]],[]]] => 6
[[[[[[[]]]]],[]]] => 7
[[[[],[],[],[],[]]]] => 4
[[[[],[],[],[[]]]]] => 5
[[[[],[],[[]],[]]]] => 4
[[[[],[],[[],[]]]]] => 5
[[[[],[],[[[]]]]]] => 6
[[[[],[[]],[],[]]]] => 4
[[[[],[[]],[[]]]]] => 5
[[[[],[[],[]],[]]]] => 4
[[[[],[[[]]],[]]]] => 4
[[[[],[[],[],[]]]]] => 5
[[[[],[[],[[]]]]]] => 6
[[[[],[[[]],[]]]]] => 5
[[[[],[[[],[]]]]]] => 6
[[[[],[[[[]]]]]]] => 7
[[[[[]],[],[],[]]]] => 5
[[[[[]],[],[[]]]]] => 6
[[[[[]],[[]],[]]]] => 5
[[[[[]],[[],[]]]]] => 6
[[[[[]],[[[]]]]]] => 7
[[[[[],[]],[],[]]]] => 5
[[[[[[]]],[],[]]]] => 6
[[[[[],[]],[[]]]]] => 6
[[[[[[]]],[[]]]]] => 7
[[[[[],[],[]],[]]]] => 5
[[[[[],[[]]],[]]]] => 5
[[[[[[]],[]],[]]]] => 6
[[[[[[],[]]],[]]]] => 6
[[[[[[[]]]],[]]]] => 7
[[[[[],[],[],[]]]]] => 5
[[[[[],[],[[]]]]]] => 6
[[[[[],[[]],[]]]]] => 5
[[[[[],[[],[]]]]]] => 6
[[[[[],[[[]]]]]]] => 7
[[[[[[]],[],[]]]]] => 6
[[[[[[]],[[]]]]]] => 7
[[[[[[],[]],[]]]]] => 6
[[[[[[[]]],[]]]]] => 7
[[[[[[],[],[]]]]]] => 6
[[[[[[],[[]]]]]]] => 7
[[[[[[[]],[]]]]]] => 7
[[[[[[[],[]]]]]]] => 7
[[[[[[[[]]]]]]]] => 7
[[],[],[],[],[],[],[],[]] => 2
[[],[],[],[],[],[],[[]]] => 3
[[],[],[],[],[],[[]],[]] => 2
[[],[],[],[],[],[[],[]]] => 3
[[],[],[],[],[],[[[]]]] => 4
[[],[],[],[],[[]],[],[]] => 2
[[],[],[],[],[[]],[[]]] => 3
[[],[],[],[],[[],[]],[]] => 2
[[],[],[],[],[[[]]],[]] => 2
[[],[],[],[],[[],[],[]]] => 3
[[],[],[],[],[[],[[]]]] => 4
[[],[],[],[],[[[]],[]]] => 3
[[],[],[],[],[[[],[]]]] => 4
[[],[],[],[],[[[[]]]]] => 5
[[],[],[],[[]],[],[],[]] => 2
[[],[],[],[[]],[],[[]]] => 3
[[],[],[],[[]],[[]],[]] => 2
[[],[],[],[[]],[[],[]]] => 3
[[],[],[],[[]],[[[]]]] => 4
[[],[],[],[[],[]],[],[]] => 2
[[],[],[],[[[]]],[],[]] => 2
[[],[],[],[[],[]],[[]]] => 3
[[],[],[],[[[]]],[[]]] => 3
[[],[],[],[[],[],[]],[]] => 2
[[],[],[],[[],[[]]],[]] => 2
[[],[],[],[[[]],[]],[]] => 2
[[],[],[],[[[],[]]],[]] => 2
[[],[],[],[[[[]]]],[]] => 2
[[],[],[],[[],[],[],[]]] => 3
[[],[],[],[[],[],[[]]]] => 4
[[],[],[],[[],[[]],[]]] => 3
[[],[],[],[[],[[],[]]]] => 4
[[],[],[],[[],[[[]]]]] => 5
[[],[],[],[[[]],[],[]]] => 3
[[],[],[],[[[]],[[]]]] => 4
[[],[],[],[[[],[]],[]]] => 3
[[],[],[],[[[[]]],[]]] => 3
[[],[],[],[[[],[],[]]]] => 4
[[],[],[],[[[],[[]]]]] => 5
[[],[],[],[[[[]],[]]]] => 4
[[],[],[],[[[[],[]]]]] => 5
[[],[],[],[[[[[]]]]]] => 6
[[],[],[[]],[],[],[],[]] => 2
[[],[],[[]],[],[],[[]]] => 3
[[],[],[[]],[],[[]],[]] => 2
[[],[],[[]],[],[[],[]]] => 3
[[],[],[[]],[],[[[]]]] => 4
[[],[],[[]],[[]],[],[]] => 2
[[],[],[[]],[[]],[[]]] => 3
[[],[],[[]],[[],[]],[]] => 2
[[],[],[[]],[[[]]],[]] => 2
[[],[],[[]],[[],[],[]]] => 3
[[],[],[[]],[[],[[]]]] => 4
[[],[],[[]],[[[]],[]]] => 3
[[],[],[[]],[[[],[]]]] => 4
[[],[],[[]],[[[[]]]]] => 5
[[],[],[[],[]],[],[],[]] => 2
[[],[],[[[]]],[],[],[]] => 2
[[],[],[[],[]],[],[[]]] => 3
[[],[],[[[]]],[],[[]]] => 3
[[],[],[[],[]],[[]],[]] => 2
[[],[],[[[]]],[[]],[]] => 2
[[],[],[[],[]],[[],[]]] => 3
[[],[],[[],[]],[[[]]]] => 4
[[],[],[[[]]],[[],[]]] => 3
[[],[],[[[]]],[[[]]]] => 4
[[],[],[[],[],[]],[],[]] => 2
[[],[],[[],[[]]],[],[]] => 2
[[],[],[[[]],[]],[],[]] => 2
[[],[],[[[],[]]],[],[]] => 2
[[],[],[[[[]]]],[],[]] => 2
[[],[],[[],[],[]],[[]]] => 3
[[],[],[[],[[]]],[[]]] => 3
[[],[],[[[]],[]],[[]]] => 3
[[],[],[[[],[]]],[[]]] => 3
[[],[],[[[[]]]],[[]]] => 3
[[],[],[[],[],[],[]],[]] => 2
[[],[],[[],[],[[]]],[]] => 2
[[],[],[[],[[]],[]],[]] => 2
[[],[],[[],[[],[]]],[]] => 2
[[],[],[[],[[[]]]],[]] => 2
[[],[],[[[]],[],[]],[]] => 2
[[],[],[[[]],[[]]],[]] => 2
[[],[],[[[],[]],[]],[]] => 2
[[],[],[[[[]]],[]],[]] => 2
[[],[],[[[],[],[]]],[]] => 2
[[],[],[[[],[[]]]],[]] => 2
[[],[],[[[[]],[]]],[]] => 2
[[],[],[[[[],[]]]],[]] => 2
[[],[],[[[[[]]]]],[]] => 2
[[],[],[[],[],[],[],[]]] => 3
[[],[],[[],[],[],[[]]]] => 4
[[],[],[[],[],[[]],[]]] => 3
[[],[],[[],[],[[],[]]]] => 4
[[],[],[[],[],[[[]]]]] => 5
[[],[],[[],[[]],[],[]]] => 3
[[],[],[[],[[]],[[]]]] => 4
[[],[],[[],[[],[]],[]]] => 3
[[],[],[[],[[[]]],[]]] => 3
[[],[],[[],[[],[],[]]]] => 4
[[],[],[[],[[],[[]]]]] => 5
[[],[],[[],[[[]],[]]]] => 4
[[],[],[[],[[[],[]]]]] => 5
[[],[],[[],[[[[]]]]]] => 6
[[],[],[[[]],[],[],[]]] => 3
[[],[],[[[]],[],[[]]]] => 4
[[],[],[[[]],[[]],[]]] => 3
[[],[],[[[]],[[],[]]]] => 4
[[],[],[[[]],[[[]]]]] => 5
[[],[],[[[],[]],[],[]]] => 3
[[],[],[[[[]]],[],[]]] => 3
[[],[],[[[],[]],[[]]]] => 4
[[],[],[[[[]]],[[]]]] => 4
[[],[],[[[],[],[]],[]]] => 3
[[],[],[[[],[[]]],[]]] => 3
[[],[],[[[[]],[]],[]]] => 3
[[],[],[[[[],[]]],[]]] => 3
[[],[],[[[[[]]]],[]]] => 3
[[],[],[[[],[],[],[]]]] => 4
[[],[],[[[],[],[[]]]]] => 5
[[],[],[[[],[[]],[]]]] => 4
[[],[],[[[],[[],[]]]]] => 5
[[],[],[[[],[[[]]]]]] => 6
[[],[],[[[[]],[],[]]]] => 4
[[],[],[[[[]],[[]]]]] => 5
[[],[],[[[[],[]],[]]]] => 4
[[],[],[[[[[]]],[]]]] => 4
[[],[],[[[[],[],[]]]]] => 5
[[],[],[[[[],[[]]]]]] => 6
[[],[],[[[[[]],[]]]]] => 5
[[],[],[[[[[],[]]]]]] => 6
[[],[],[[[[[[]]]]]]] => 7
[[],[[]],[],[],[],[],[]] => 2
[[],[[]],[],[],[],[[]]] => 3
[[],[[]],[],[],[[]],[]] => 2
[[],[[]],[],[],[[],[]]] => 3
[[],[[]],[],[],[[[]]]] => 4
[[],[[]],[],[[]],[],[]] => 2
[[],[[]],[],[[]],[[]]] => 3
[[],[[]],[],[[],[]],[]] => 2
[[],[[]],[],[[[]]],[]] => 2
[[],[[]],[],[[],[],[]]] => 3
[[],[[]],[],[[],[[]]]] => 4
[[],[[]],[],[[[]],[]]] => 3
[[],[[]],[],[[[],[]]]] => 4
[[],[[]],[],[[[[]]]]] => 5
[[],[[]],[[]],[],[],[]] => 2
[[],[[]],[[]],[],[[]]] => 3
[[],[[]],[[]],[[]],[]] => 2
[[],[[]],[[]],[[],[]]] => 3
[[],[[]],[[]],[[[]]]] => 4
[[],[[]],[[],[]],[],[]] => 2
[[],[[]],[[[]]],[],[]] => 2
[[],[[]],[[],[]],[[]]] => 3
[[],[[]],[[[]]],[[]]] => 3
[[],[[]],[[],[],[]],[]] => 2
[[],[[]],[[],[[]]],[]] => 2
[[],[[]],[[[]],[]],[]] => 2
[[],[[]],[[[],[]]],[]] => 2
[[],[[]],[[[[]]]],[]] => 2
[[],[[]],[[],[],[],[]]] => 3
[[],[[]],[[],[],[[]]]] => 4
[[],[[]],[[],[[]],[]]] => 3
[[],[[]],[[],[[],[]]]] => 4
[[],[[]],[[],[[[]]]]] => 5
[[],[[]],[[[]],[],[]]] => 3
[[],[[]],[[[]],[[]]]] => 4
[[],[[]],[[[],[]],[]]] => 3
[[],[[]],[[[[]]],[]]] => 3
[[],[[]],[[[],[],[]]]] => 4
[[],[[]],[[[],[[]]]]] => 5
[[],[[]],[[[[]],[]]]] => 4
[[],[[]],[[[[],[]]]]] => 5
[[],[[]],[[[[[]]]]]] => 6
[[],[[],[]],[],[],[],[]] => 2
[[],[[[]]],[],[],[],[]] => 2
[[],[[],[]],[],[],[[]]] => 3
[[],[[[]]],[],[],[[]]] => 3
[[],[[],[]],[],[[]],[]] => 2
[[],[[[]]],[],[[]],[]] => 2
[[],[[],[]],[],[[],[]]] => 3
[[],[[],[]],[],[[[]]]] => 4
[[],[[[]]],[],[[],[]]] => 3
[[],[[[]]],[],[[[]]]] => 4
[[],[[],[]],[[]],[],[]] => 2
[[],[[[]]],[[]],[],[]] => 2
[[],[[],[]],[[]],[[]]] => 3
[[],[[[]]],[[]],[[]]] => 3
[[],[[],[]],[[],[]],[]] => 2
[[],[[],[]],[[[]]],[]] => 2
[[],[[[]]],[[],[]],[]] => 2
[[],[[[]]],[[[]]],[]] => 2
[[],[[],[]],[[],[],[]]] => 3
[[],[[],[]],[[],[[]]]] => 4
[[],[[],[]],[[[]],[]]] => 3
[[],[[],[]],[[[],[]]]] => 4
[[],[[],[]],[[[[]]]]] => 5
[[],[[[]]],[[],[],[]]] => 3
[[],[[[]]],[[],[[]]]] => 4
[[],[[[]]],[[[]],[]]] => 3
[[],[[[]]],[[[],[]]]] => 4
[[],[[[]]],[[[[]]]]] => 5
[[],[[],[],[]],[],[],[]] => 2
[[],[[],[[]]],[],[],[]] => 2
[[],[[[]],[]],[],[],[]] => 2
[[],[[[],[]]],[],[],[]] => 2
[[],[[[[]]]],[],[],[]] => 2
[[],[[],[],[]],[],[[]]] => 3
[[],[[],[[]]],[],[[]]] => 3
[[],[[[]],[]],[],[[]]] => 3
[[],[[[],[]]],[],[[]]] => 3
[[],[[[[]]]],[],[[]]] => 3
[[],[[],[],[]],[[]],[]] => 2
[[],[[],[[]]],[[]],[]] => 2
[[],[[[]],[]],[[]],[]] => 2
[[],[[[],[]]],[[]],[]] => 2
[[],[[[[]]]],[[]],[]] => 2
[[],[[],[],[]],[[],[]]] => 3
[[],[[],[],[]],[[[]]]] => 4
[[],[[],[[]]],[[],[]]] => 3
[[],[[],[[]]],[[[]]]] => 4
[[],[[[]],[]],[[],[]]] => 3
[[],[[[]],[]],[[[]]]] => 4
[[],[[[],[]]],[[],[]]] => 3
[[],[[[],[]]],[[[]]]] => 4
[[],[[[[]]]],[[],[]]] => 3
[[],[[[[]]]],[[[]]]] => 4
[[],[[],[],[],[]],[],[]] => 2
[[],[[],[],[[]]],[],[]] => 2
[[],[[],[[]],[]],[],[]] => 2
[[],[[],[[],[]]],[],[]] => 2
[[],[[],[[[]]]],[],[]] => 2
[[],[[[]],[],[]],[],[]] => 2
[[],[[[]],[[]]],[],[]] => 2
[[],[[[],[]],[]],[],[]] => 2
[[],[[[[]]],[]],[],[]] => 2
[[],[[[],[],[]]],[],[]] => 2
[[],[[[],[[]]]],[],[]] => 2
[[],[[[[]],[]]],[],[]] => 2
[[],[[[[],[]]]],[],[]] => 2
[[],[[[[[]]]]],[],[]] => 2
[[],[[],[],[],[]],[[]]] => 3
[[],[[],[],[[]]],[[]]] => 3
[[],[[],[[]],[]],[[]]] => 3
[[],[[],[[],[]]],[[]]] => 3
[[],[[],[[[]]]],[[]]] => 3
[[],[[[]],[],[]],[[]]] => 3
[[],[[[]],[[]]],[[]]] => 3
[[],[[[],[]],[]],[[]]] => 3
[[],[[[[]]],[]],[[]]] => 3
[[],[[[],[],[]]],[[]]] => 3
[[],[[[],[[]]]],[[]]] => 3
[[],[[[[]],[]]],[[]]] => 3
[[],[[[[],[]]]],[[]]] => 3
[[],[[[[[]]]]],[[]]] => 3
[[],[[],[],[],[],[]],[]] => 2
[[],[[],[],[],[[]]],[]] => 2
[[],[[],[],[[]],[]],[]] => 2
[[],[[],[],[[],[]]],[]] => 2
[[],[[],[],[[[]]]],[]] => 2
[[],[[],[[]],[],[]],[]] => 2
[[],[[],[[]],[[]]],[]] => 2
[[],[[],[[],[]],[]],[]] => 2
[[],[[],[[[]]],[]],[]] => 2
[[],[[],[[],[],[]]],[]] => 2
[[],[[],[[],[[]]]],[]] => 2
[[],[[],[[[]],[]]],[]] => 2
[[],[[],[[[],[]]]],[]] => 2
[[],[[],[[[[]]]]],[]] => 2
[[],[[[]],[],[],[]],[]] => 2
[[],[[[]],[],[[]]],[]] => 2
[[],[[[]],[[]],[]],[]] => 2
[[],[[[]],[[],[]]],[]] => 2
[[],[[[]],[[[]]]],[]] => 2
[[],[[[],[]],[],[]],[]] => 2
[[],[[[[]]],[],[]],[]] => 2
[[],[[[],[]],[[]]],[]] => 2
[[],[[[[]]],[[]]],[]] => 2
[[],[[[],[],[]],[]],[]] => 2
[[],[[[],[[]]],[]],[]] => 2
[[],[[[[]],[]],[]],[]] => 2
[[],[[[[],[]]],[]],[]] => 2
[[],[[[[[]]]],[]],[]] => 2
[[],[[[],[],[],[]]],[]] => 2
[[],[[[],[],[[]]]],[]] => 2
[[],[[[],[[]],[]]],[]] => 2
[[],[[[],[[],[]]]],[]] => 2
[[],[[[],[[[]]]]],[]] => 2
[[],[[[[]],[],[]]],[]] => 2
[[],[[[[]],[[]]]],[]] => 2
[[],[[[[],[]],[]]],[]] => 2
[[],[[[[[]]],[]]],[]] => 2
[[],[[[[],[],[]]]],[]] => 2
[[],[[[[],[[]]]]],[]] => 2
[[],[[[[[]],[]]]],[]] => 2
[[],[[[[[],[]]]]],[]] => 2
[[],[[[[[[]]]]]],[]] => 2
[[],[[],[],[],[],[],[]]] => 3
[[],[[],[],[],[],[[]]]] => 4
[[],[[],[],[],[[]],[]]] => 3
[[],[[],[],[],[[],[]]]] => 4
[[],[[],[],[],[[[]]]]] => 5
[[],[[],[],[[]],[],[]]] => 3
[[],[[],[],[[]],[[]]]] => 4
[[],[[],[],[[],[]],[]]] => 3
[[],[[],[],[[[]]],[]]] => 3
[[],[[],[],[[],[],[]]]] => 4
[[],[[],[],[[],[[]]]]] => 5
[[],[[],[],[[[]],[]]]] => 4
[[],[[],[],[[[],[]]]]] => 5
[[],[[],[],[[[[]]]]]] => 6
[[],[[],[[]],[],[],[]]] => 3
[[],[[],[[]],[],[[]]]] => 4
[[],[[],[[]],[[]],[]]] => 3
[[],[[],[[]],[[],[]]]] => 4
[[],[[],[[]],[[[]]]]] => 5
[[],[[],[[],[]],[],[]]] => 3
[[],[[],[[[]]],[],[]]] => 3
[[],[[],[[],[]],[[]]]] => 4
[[],[[],[[[]]],[[]]]] => 4
[[],[[],[[],[],[]],[]]] => 3
[[],[[],[[],[[]]],[]]] => 3
[[],[[],[[[]],[]],[]]] => 3
[[],[[],[[[],[]]],[]]] => 3
[[],[[],[[[[]]]],[]]] => 3
[[],[[],[[],[],[],[]]]] => 4
[[],[[],[[],[],[[]]]]] => 5
[[],[[],[[],[[]],[]]]] => 4
[[],[[],[[],[[],[]]]]] => 5
[[],[[],[[],[[[]]]]]] => 6
[[],[[],[[[]],[],[]]]] => 4
[[],[[],[[[]],[[]]]]] => 5
[[],[[],[[[],[]],[]]]] => 4
[[],[[],[[[[]]],[]]]] => 4
[[],[[],[[[],[],[]]]]] => 5
[[],[[],[[[],[[]]]]]] => 6
[[],[[],[[[[]],[]]]]] => 5
[[],[[],[[[[],[]]]]]] => 6
[[],[[],[[[[[]]]]]]] => 7
[[],[[[]],[],[],[],[]]] => 3
[[],[[[]],[],[],[[]]]] => 4
[[],[[[]],[],[[]],[]]] => 3
[[],[[[]],[],[[],[]]]] => 4
[[],[[[]],[],[[[]]]]] => 5
[[],[[[]],[[]],[],[]]] => 3
[[],[[[]],[[]],[[]]]] => 4
[[],[[[]],[[],[]],[]]] => 3
[[],[[[]],[[[]]],[]]] => 3
[[],[[[]],[[],[],[]]]] => 4
[[],[[[]],[[],[[]]]]] => 5
[[],[[[]],[[[]],[]]]] => 4
[[],[[[]],[[[],[]]]]] => 5
[[],[[[]],[[[[]]]]]] => 6
[[],[[[],[]],[],[],[]]] => 3
[[],[[[[]]],[],[],[]]] => 3
[[],[[[],[]],[],[[]]]] => 4
[[],[[[[]]],[],[[]]]] => 4
[[],[[[],[]],[[]],[]]] => 3
[[],[[[[]]],[[]],[]]] => 3
[[],[[[],[]],[[],[]]]] => 4
[[],[[[],[]],[[[]]]]] => 5
[[],[[[[]]],[[],[]]]] => 4
[[],[[[[]]],[[[]]]]] => 5
[[],[[[],[],[]],[],[]]] => 3
[[],[[[],[[]]],[],[]]] => 3
[[],[[[[]],[]],[],[]]] => 3
[[],[[[[],[]]],[],[]]] => 3
[[],[[[[[]]]],[],[]]] => 3
[[],[[[],[],[]],[[]]]] => 4
[[],[[[],[[]]],[[]]]] => 4
[[],[[[[]],[]],[[]]]] => 4
[[],[[[[],[]]],[[]]]] => 4
[[],[[[[[]]]],[[]]]] => 4
[[],[[[],[],[],[]],[]]] => 3
[[],[[[],[],[[]]],[]]] => 3
[[],[[[],[[]],[]],[]]] => 3
[[],[[[],[[],[]]],[]]] => 3
[[],[[[],[[[]]]],[]]] => 3
[[],[[[[]],[],[]],[]]] => 3
[[],[[[[]],[[]]],[]]] => 3
[[],[[[[],[]],[]],[]]] => 3
[[],[[[[[]]],[]],[]]] => 3
[[],[[[[],[],[]]],[]]] => 3
[[],[[[[],[[]]]],[]]] => 3
[[],[[[[[]],[]]],[]]] => 3
[[],[[[[[],[]]]],[]]] => 3
[[],[[[[[[]]]]],[]]] => 3
[[],[[[],[],[],[],[]]]] => 4
[[],[[[],[],[],[[]]]]] => 5
[[],[[[],[],[[]],[]]]] => 4
[[],[[[],[],[[],[]]]]] => 5
[[],[[[],[],[[[]]]]]] => 6
[[],[[[],[[]],[],[]]]] => 4
[[],[[[],[[]],[[]]]]] => 5
[[],[[[],[[],[]],[]]]] => 4
[[],[[[],[[[]]],[]]]] => 4
[[],[[[],[[],[],[]]]]] => 5
[[],[[[],[[],[[]]]]]] => 6
[[],[[[],[[[]],[]]]]] => 5
[[],[[[],[[[],[]]]]]] => 6
[[],[[[],[[[[]]]]]]] => 7
[[],[[[[]],[],[],[]]]] => 4
[[],[[[[]],[],[[]]]]] => 5
[[],[[[[]],[[]],[]]]] => 4
[[],[[[[]],[[],[]]]]] => 5
[[],[[[[]],[[[]]]]]] => 6
[[],[[[[],[]],[],[]]]] => 4
[[],[[[[[]]],[],[]]]] => 4
[[],[[[[],[]],[[]]]]] => 5
[[],[[[[[]]],[[]]]]] => 5
[[],[[[[],[],[]],[]]]] => 4
[[],[[[[],[[]]],[]]]] => 4
[[],[[[[[]],[]],[]]]] => 4
[[],[[[[[],[]]],[]]]] => 4
[[],[[[[[[]]]],[]]]] => 4
[[],[[[[],[],[],[]]]]] => 5
[[],[[[[],[],[[]]]]]] => 6
[[],[[[[],[[]],[]]]]] => 5
[[],[[[[],[[],[]]]]]] => 6
[[],[[[[],[[[]]]]]]] => 7
[[],[[[[[]],[],[]]]]] => 5
[[],[[[[[]],[[]]]]]] => 6
[[],[[[[[],[]],[]]]]] => 5
[[],[[[[[[]]],[]]]]] => 5
[[],[[[[[],[],[]]]]]] => 6
[[],[[[[[],[[]]]]]]] => 7
[[],[[[[[[]],[]]]]]] => 6
[[],[[[[[[],[]]]]]]] => 7
[[],[[[[[[[]]]]]]]] => 8
[[[]],[],[],[],[],[],[]] => 3
[[[]],[],[],[],[],[[]]] => 4
[[[]],[],[],[],[[]],[]] => 3
[[[]],[],[],[],[[],[]]] => 4
[[[]],[],[],[],[[[]]]] => 5
[[[]],[],[],[[]],[],[]] => 3
[[[]],[],[],[[]],[[]]] => 4
[[[]],[],[],[[],[]],[]] => 3
[[[]],[],[],[[[]]],[]] => 3
[[[]],[],[],[[],[],[]]] => 4
[[[]],[],[],[[],[[]]]] => 5
[[[]],[],[],[[[]],[]]] => 4
[[[]],[],[],[[[],[]]]] => 5
[[[]],[],[],[[[[]]]]] => 6
[[[]],[],[[]],[],[],[]] => 3
[[[]],[],[[]],[],[[]]] => 4
[[[]],[],[[]],[[]],[]] => 3
[[[]],[],[[]],[[],[]]] => 4
[[[]],[],[[]],[[[]]]] => 5
[[[]],[],[[],[]],[],[]] => 3
[[[]],[],[[[]]],[],[]] => 3
[[[]],[],[[],[]],[[]]] => 4
[[[]],[],[[[]]],[[]]] => 4
[[[]],[],[[],[],[]],[]] => 3
[[[]],[],[[],[[]]],[]] => 3
[[[]],[],[[[]],[]],[]] => 3
[[[]],[],[[[],[]]],[]] => 3
[[[]],[],[[[[]]]],[]] => 3
[[[]],[],[[],[],[],[]]] => 4
[[[]],[],[[],[],[[]]]] => 5
[[[]],[],[[],[[]],[]]] => 4
[[[]],[],[[],[[],[]]]] => 5
[[[]],[],[[],[[[]]]]] => 6
[[[]],[],[[[]],[],[]]] => 4
[[[]],[],[[[]],[[]]]] => 5
[[[]],[],[[[],[]],[]]] => 4
[[[]],[],[[[[]]],[]]] => 4
[[[]],[],[[[],[],[]]]] => 5
[[[]],[],[[[],[[]]]]] => 6
[[[]],[],[[[[]],[]]]] => 5
[[[]],[],[[[[],[]]]]] => 6
[[[]],[],[[[[[]]]]]] => 7
[[[]],[[]],[],[],[],[]] => 3
[[[]],[[]],[],[],[[]]] => 4
[[[]],[[]],[],[[]],[]] => 3
[[[]],[[]],[],[[],[]]] => 4
[[[]],[[]],[],[[[]]]] => 5
[[[]],[[]],[[]],[],[]] => 3
[[[]],[[]],[[]],[[]]] => 4
[[[]],[[]],[[],[]],[]] => 3
[[[]],[[]],[[[]]],[]] => 3
[[[]],[[]],[[],[],[]]] => 4
[[[]],[[]],[[],[[]]]] => 5
[[[]],[[]],[[[]],[]]] => 4
[[[]],[[]],[[[],[]]]] => 5
[[[]],[[]],[[[[]]]]] => 6
[[[]],[[],[]],[],[],[]] => 3
[[[]],[[[]]],[],[],[]] => 3
[[[]],[[],[]],[],[[]]] => 4
[[[]],[[[]]],[],[[]]] => 4
[[[]],[[],[]],[[]],[]] => 3
[[[]],[[[]]],[[]],[]] => 3
[[[]],[[],[]],[[],[]]] => 4
[[[]],[[],[]],[[[]]]] => 5
[[[]],[[[]]],[[],[]]] => 4
[[[]],[[[]]],[[[]]]] => 5
[[[]],[[],[],[]],[],[]] => 3
[[[]],[[],[[]]],[],[]] => 3
[[[]],[[[]],[]],[],[]] => 3
[[[]],[[[],[]]],[],[]] => 3
[[[]],[[[[]]]],[],[]] => 3
[[[]],[[],[],[]],[[]]] => 4
[[[]],[[],[[]]],[[]]] => 4
[[[]],[[[]],[]],[[]]] => 4
[[[]],[[[],[]]],[[]]] => 4
[[[]],[[[[]]]],[[]]] => 4
[[[]],[[],[],[],[]],[]] => 3
[[[]],[[],[],[[]]],[]] => 3
[[[]],[[],[[]],[]],[]] => 3
[[[]],[[],[[],[]]],[]] => 3
[[[]],[[],[[[]]]],[]] => 3
[[[]],[[[]],[],[]],[]] => 3
[[[]],[[[]],[[]]],[]] => 3
[[[]],[[[],[]],[]],[]] => 3
[[[]],[[[[]]],[]],[]] => 3
[[[]],[[[],[],[]]],[]] => 3
[[[]],[[[],[[]]]],[]] => 3
[[[]],[[[[]],[]]],[]] => 3
[[[]],[[[[],[]]]],[]] => 3
[[[]],[[[[[]]]]],[]] => 3
[[[]],[[],[],[],[],[]]] => 4
[[[]],[[],[],[],[[]]]] => 5
[[[]],[[],[],[[]],[]]] => 4
[[[]],[[],[],[[],[]]]] => 5
[[[]],[[],[],[[[]]]]] => 6
[[[]],[[],[[]],[],[]]] => 4
[[[]],[[],[[]],[[]]]] => 5
[[[]],[[],[[],[]],[]]] => 4
[[[]],[[],[[[]]],[]]] => 4
[[[]],[[],[[],[],[]]]] => 5
[[[]],[[],[[],[[]]]]] => 6
[[[]],[[],[[[]],[]]]] => 5
[[[]],[[],[[[],[]]]]] => 6
[[[]],[[],[[[[]]]]]] => 7
[[[]],[[[]],[],[],[]]] => 4
[[[]],[[[]],[],[[]]]] => 5
[[[]],[[[]],[[]],[]]] => 4
[[[]],[[[]],[[],[]]]] => 5
[[[]],[[[]],[[[]]]]] => 6
[[[]],[[[],[]],[],[]]] => 4
[[[]],[[[[]]],[],[]]] => 4
[[[]],[[[],[]],[[]]]] => 5
[[[]],[[[[]]],[[]]]] => 5
[[[]],[[[],[],[]],[]]] => 4
[[[]],[[[],[[]]],[]]] => 4
[[[]],[[[[]],[]],[]]] => 4
[[[]],[[[[],[]]],[]]] => 4
[[[]],[[[[[]]]],[]]] => 4
[[[]],[[[],[],[],[]]]] => 5
[[[]],[[[],[],[[]]]]] => 6
[[[]],[[[],[[]],[]]]] => 5
[[[]],[[[],[[],[]]]]] => 6
[[[]],[[[],[[[]]]]]] => 7
[[[]],[[[[]],[],[]]]] => 5
[[[]],[[[[]],[[]]]]] => 6
[[[]],[[[[],[]],[]]]] => 5
[[[]],[[[[[]]],[]]]] => 5
[[[]],[[[[],[],[]]]]] => 6
[[[]],[[[[],[[]]]]]] => 7
[[[]],[[[[[]],[]]]]] => 6
[[[]],[[[[[],[]]]]]] => 7
[[[]],[[[[[[]]]]]]] => 8
[[[],[]],[],[],[],[],[]] => 3
[[[[]]],[],[],[],[],[]] => 4
[[[],[]],[],[],[],[[]]] => 4
[[[[]]],[],[],[],[[]]] => 5
[[[],[]],[],[],[[]],[]] => 3
[[[[]]],[],[],[[]],[]] => 4
[[[],[]],[],[],[[],[]]] => 4
[[[],[]],[],[],[[[]]]] => 5
[[[[]]],[],[],[[],[]]] => 5
[[[[]]],[],[],[[[]]]] => 6
[[[],[]],[],[[]],[],[]] => 3
[[[[]]],[],[[]],[],[]] => 4
[[[],[]],[],[[]],[[]]] => 4
[[[[]]],[],[[]],[[]]] => 5
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Created: Sep 06, 2017 at 23:35 by Martin Rubey
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Last Updated: Sep 06, 2017 at 23:35 by Martin Rubey