*****************************************************************************
* 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: St000700
-----------------------------------------------------------------------------
Collection: Ordered trees
-----------------------------------------------------------------------------
Description: The protection number of an ordered tree.
This is the minimal distance from the root to a leaf.
-----------------------------------------------------------------------------
References: [1] Heuberger, C., Prodinger, H. Protection Number in Plane Trees [[arXiv:1702.06816]]
-----------------------------------------------------------------------------
Code:
def statistic(T):
if len(T) == 0:
return 0
else:
return 1+min(statistic(S) for S in T)
-----------------------------------------------------------------------------
Statistic values:
[[]] => 1
[[],[]] => 1
[[[]]] => 2
[[],[],[]] => 1
[[],[[]]] => 1
[[[]],[]] => 1
[[[],[]]] => 2
[[[[]]]] => 3
[[],[],[],[]] => 1
[[],[],[[]]] => 1
[[],[[]],[]] => 1
[[],[[],[]]] => 1
[[],[[[]]]] => 1
[[[]],[],[]] => 1
[[[]],[[]]] => 2
[[[],[]],[]] => 1
[[[[]]],[]] => 1
[[[],[],[]]] => 2
[[[],[[]]]] => 2
[[[[]],[]]] => 2
[[[[],[]]]] => 3
[[[[[]]]]] => 4
[[],[],[],[],[]] => 1
[[],[],[],[[]]] => 1
[[],[],[[]],[]] => 1
[[],[],[[],[]]] => 1
[[],[],[[[]]]] => 1
[[],[[]],[],[]] => 1
[[],[[]],[[]]] => 1
[[],[[],[]],[]] => 1
[[],[[[]]],[]] => 1
[[],[[],[],[]]] => 1
[[],[[],[[]]]] => 1
[[],[[[]],[]]] => 1
[[],[[[],[]]]] => 1
[[],[[[[]]]]] => 1
[[[]],[],[],[]] => 1
[[[]],[],[[]]] => 1
[[[]],[[]],[]] => 1
[[[]],[[],[]]] => 2
[[[]],[[[]]]] => 2
[[[],[]],[],[]] => 1
[[[[]]],[],[]] => 1
[[[],[]],[[]]] => 2
[[[[]]],[[]]] => 2
[[[],[],[]],[]] => 1
[[[],[[]]],[]] => 1
[[[[]],[]],[]] => 1
[[[[],[]]],[]] => 1
[[[[[]]]],[]] => 1
[[[],[],[],[]]] => 2
[[[],[],[[]]]] => 2
[[[],[[]],[]]] => 2
[[[],[[],[]]]] => 2
[[[],[[[]]]]] => 2
[[[[]],[],[]]] => 2
[[[[]],[[]]]] => 3
[[[[],[]],[]]] => 2
[[[[[]]],[]]] => 2
[[[[],[],[]]]] => 3
[[[[],[[]]]]] => 3
[[[[[]],[]]]] => 3
[[[[[],[]]]]] => 4
[[[[[[]]]]]] => 5
[[],[],[],[],[],[]] => 1
[[],[],[],[],[[]]] => 1
[[],[],[],[[]],[]] => 1
[[],[],[],[[],[]]] => 1
[[],[],[],[[[]]]] => 1
[[],[],[[]],[],[]] => 1
[[],[],[[]],[[]]] => 1
[[],[],[[],[]],[]] => 1
[[],[],[[[]]],[]] => 1
[[],[],[[],[],[]]] => 1
[[],[],[[],[[]]]] => 1
[[],[],[[[]],[]]] => 1
[[],[],[[[],[]]]] => 1
[[],[],[[[[]]]]] => 1
[[],[[]],[],[],[]] => 1
[[],[[]],[],[[]]] => 1
[[],[[]],[[]],[]] => 1
[[],[[]],[[],[]]] => 1
[[],[[]],[[[]]]] => 1
[[],[[],[]],[],[]] => 1
[[],[[[]]],[],[]] => 1
[[],[[],[]],[[]]] => 1
[[],[[[]]],[[]]] => 1
[[],[[],[],[]],[]] => 1
[[],[[],[[]]],[]] => 1
[[],[[[]],[]],[]] => 1
[[],[[[],[]]],[]] => 1
[[],[[[[]]]],[]] => 1
[[],[[],[],[],[]]] => 1
[[],[[],[],[[]]]] => 1
[[],[[],[[]],[]]] => 1
[[],[[],[[],[]]]] => 1
[[],[[],[[[]]]]] => 1
[[],[[[]],[],[]]] => 1
[[],[[[]],[[]]]] => 1
[[],[[[],[]],[]]] => 1
[[],[[[[]]],[]]] => 1
[[],[[[],[],[]]]] => 1
[[],[[[],[[]]]]] => 1
[[],[[[[]],[]]]] => 1
[[],[[[[],[]]]]] => 1
[[],[[[[[]]]]]] => 1
[[[]],[],[],[],[]] => 1
[[[]],[],[],[[]]] => 1
[[[]],[],[[]],[]] => 1
[[[]],[],[[],[]]] => 1
[[[]],[],[[[]]]] => 1
[[[]],[[]],[],[]] => 1
[[[]],[[]],[[]]] => 2
[[[]],[[],[]],[]] => 1
[[[]],[[[]]],[]] => 1
[[[]],[[],[],[]]] => 2
[[[]],[[],[[]]]] => 2
[[[]],[[[]],[]]] => 2
[[[]],[[[],[]]]] => 2
[[[]],[[[[]]]]] => 2
[[[],[]],[],[],[]] => 1
[[[[]]],[],[],[]] => 1
[[[],[]],[],[[]]] => 1
[[[[]]],[],[[]]] => 1
[[[],[]],[[]],[]] => 1
[[[[]]],[[]],[]] => 1
[[[],[]],[[],[]]] => 2
[[[],[]],[[[]]]] => 2
[[[[]]],[[],[]]] => 2
[[[[]]],[[[]]]] => 3
[[[],[],[]],[],[]] => 1
[[[],[[]]],[],[]] => 1
[[[[]],[]],[],[]] => 1
[[[[],[]]],[],[]] => 1
[[[[[]]]],[],[]] => 1
[[[],[],[]],[[]]] => 2
[[[],[[]]],[[]]] => 2
[[[[]],[]],[[]]] => 2
[[[[],[]]],[[]]] => 2
[[[[[]]]],[[]]] => 2
[[[],[],[],[]],[]] => 1
[[[],[],[[]]],[]] => 1
[[[],[[]],[]],[]] => 1
[[[],[[],[]]],[]] => 1
[[[],[[[]]]],[]] => 1
[[[[]],[],[]],[]] => 1
[[[[]],[[]]],[]] => 1
[[[[],[]],[]],[]] => 1
[[[[[]]],[]],[]] => 1
[[[[],[],[]]],[]] => 1
[[[[],[[]]]],[]] => 1
[[[[[]],[]]],[]] => 1
[[[[[],[]]]],[]] => 1
[[[[[[]]]]],[]] => 1
[[[],[],[],[],[]]] => 2
[[[],[],[],[[]]]] => 2
[[[],[],[[]],[]]] => 2
[[[],[],[[],[]]]] => 2
[[[],[],[[[]]]]] => 2
[[[],[[]],[],[]]] => 2
[[[],[[]],[[]]]] => 2
[[[],[[],[]],[]]] => 2
[[[],[[[]]],[]]] => 2
[[[],[[],[],[]]]] => 2
[[[],[[],[[]]]]] => 2
[[[],[[[]],[]]]] => 2
[[[],[[[],[]]]]] => 2
[[[],[[[[]]]]]] => 2
[[[[]],[],[],[]]] => 2
[[[[]],[],[[]]]] => 2
[[[[]],[[]],[]]] => 2
[[[[]],[[],[]]]] => 3
[[[[]],[[[]]]]] => 3
[[[[],[]],[],[]]] => 2
[[[[[]]],[],[]]] => 2
[[[[],[]],[[]]]] => 3
[[[[[]]],[[]]]] => 3
[[[[],[],[]],[]]] => 2
[[[[],[[]]],[]]] => 2
[[[[[]],[]],[]]] => 2
[[[[[],[]]],[]]] => 2
[[[[[[]]]],[]]] => 2
[[[[],[],[],[]]]] => 3
[[[[],[],[[]]]]] => 3
[[[[],[[]],[]]]] => 3
[[[[],[[],[]]]]] => 3
[[[[],[[[]]]]]] => 3
[[[[[]],[],[]]]] => 3
[[[[[]],[[]]]]] => 4
[[[[[],[]],[]]]] => 3
[[[[[[]]],[]]]] => 3
[[[[[],[],[]]]]] => 4
[[[[[],[[]]]]]] => 4
[[[[[[]],[]]]]] => 4
[[[[[[],[]]]]]] => 5
[[[[[[[]]]]]]] => 6
[[],[],[],[],[],[],[]] => 1
[[],[],[],[],[],[[]]] => 1
[[],[],[],[],[[]],[]] => 1
[[],[],[],[],[[],[]]] => 1
[[],[],[],[],[[[]]]] => 1
[[],[],[],[[]],[],[]] => 1
[[],[],[],[[]],[[]]] => 1
[[],[],[],[[],[]],[]] => 1
[[],[],[],[[[]]],[]] => 1
[[],[],[],[[],[],[]]] => 1
[[],[],[],[[],[[]]]] => 1
[[],[],[],[[[]],[]]] => 1
[[],[],[],[[[],[]]]] => 1
[[],[],[],[[[[]]]]] => 1
[[],[],[[]],[],[],[]] => 1
[[],[],[[]],[],[[]]] => 1
[[],[],[[]],[[]],[]] => 1
[[],[],[[]],[[],[]]] => 1
[[],[],[[]],[[[]]]] => 1
[[],[],[[],[]],[],[]] => 1
[[],[],[[[]]],[],[]] => 1
[[],[],[[],[]],[[]]] => 1
[[],[],[[[]]],[[]]] => 1
[[],[],[[],[],[]],[]] => 1
[[],[],[[],[[]]],[]] => 1
[[],[],[[[]],[]],[]] => 1
[[],[],[[[],[]]],[]] => 1
[[],[],[[[[]]]],[]] => 1
[[],[],[[],[],[],[]]] => 1
[[],[],[[],[],[[]]]] => 1
[[],[],[[],[[]],[]]] => 1
[[],[],[[],[[],[]]]] => 1
[[],[],[[],[[[]]]]] => 1
[[],[],[[[]],[],[]]] => 1
[[],[],[[[]],[[]]]] => 1
[[],[],[[[],[]],[]]] => 1
[[],[],[[[[]]],[]]] => 1
[[],[],[[[],[],[]]]] => 1
[[],[],[[[],[[]]]]] => 1
[[],[],[[[[]],[]]]] => 1
[[],[],[[[[],[]]]]] => 1
[[],[],[[[[[]]]]]] => 1
[[],[[]],[],[],[],[]] => 1
[[],[[]],[],[],[[]]] => 1
[[],[[]],[],[[]],[]] => 1
[[],[[]],[],[[],[]]] => 1
[[],[[]],[],[[[]]]] => 1
[[],[[]],[[]],[],[]] => 1
[[],[[]],[[]],[[]]] => 1
[[],[[]],[[],[]],[]] => 1
[[],[[]],[[[]]],[]] => 1
[[],[[]],[[],[],[]]] => 1
[[],[[]],[[],[[]]]] => 1
[[],[[]],[[[]],[]]] => 1
[[],[[]],[[[],[]]]] => 1
[[],[[]],[[[[]]]]] => 1
[[],[[],[]],[],[],[]] => 1
[[],[[[]]],[],[],[]] => 1
[[],[[],[]],[],[[]]] => 1
[[],[[[]]],[],[[]]] => 1
[[],[[],[]],[[]],[]] => 1
[[],[[[]]],[[]],[]] => 1
[[],[[],[]],[[],[]]] => 1
[[],[[],[]],[[[]]]] => 1
[[],[[[]]],[[],[]]] => 1
[[],[[[]]],[[[]]]] => 1
[[],[[],[],[]],[],[]] => 1
[[],[[],[[]]],[],[]] => 1
[[],[[[]],[]],[],[]] => 1
[[],[[[],[]]],[],[]] => 1
[[],[[[[]]]],[],[]] => 1
[[],[[],[],[]],[[]]] => 1
[[],[[],[[]]],[[]]] => 1
[[],[[[]],[]],[[]]] => 1
[[],[[[],[]]],[[]]] => 1
[[],[[[[]]]],[[]]] => 1
[[],[[],[],[],[]],[]] => 1
[[],[[],[],[[]]],[]] => 1
[[],[[],[[]],[]],[]] => 1
[[],[[],[[],[]]],[]] => 1
[[],[[],[[[]]]],[]] => 1
[[],[[[]],[],[]],[]] => 1
[[],[[[]],[[]]],[]] => 1
[[],[[[],[]],[]],[]] => 1
[[],[[[[]]],[]],[]] => 1
[[],[[[],[],[]]],[]] => 1
[[],[[[],[[]]]],[]] => 1
[[],[[[[]],[]]],[]] => 1
[[],[[[[],[]]]],[]] => 1
[[],[[[[[]]]]],[]] => 1
[[],[[],[],[],[],[]]] => 1
[[],[[],[],[],[[]]]] => 1
[[],[[],[],[[]],[]]] => 1
[[],[[],[],[[],[]]]] => 1
[[],[[],[],[[[]]]]] => 1
[[],[[],[[]],[],[]]] => 1
[[],[[],[[]],[[]]]] => 1
[[],[[],[[],[]],[]]] => 1
[[],[[],[[[]]],[]]] => 1
[[],[[],[[],[],[]]]] => 1
[[],[[],[[],[[]]]]] => 1
[[],[[],[[[]],[]]]] => 1
[[],[[],[[[],[]]]]] => 1
[[],[[],[[[[]]]]]] => 1
[[],[[[]],[],[],[]]] => 1
[[],[[[]],[],[[]]]] => 1
[[],[[[]],[[]],[]]] => 1
[[],[[[]],[[],[]]]] => 1
[[],[[[]],[[[]]]]] => 1
[[],[[[],[]],[],[]]] => 1
[[],[[[[]]],[],[]]] => 1
[[],[[[],[]],[[]]]] => 1
[[],[[[[]]],[[]]]] => 1
[[],[[[],[],[]],[]]] => 1
[[],[[[],[[]]],[]]] => 1
[[],[[[[]],[]],[]]] => 1
[[],[[[[],[]]],[]]] => 1
[[],[[[[[]]]],[]]] => 1
[[],[[[],[],[],[]]]] => 1
[[],[[[],[],[[]]]]] => 1
[[],[[[],[[]],[]]]] => 1
[[],[[[],[[],[]]]]] => 1
[[],[[[],[[[]]]]]] => 1
[[],[[[[]],[],[]]]] => 1
[[],[[[[]],[[]]]]] => 1
[[],[[[[],[]],[]]]] => 1
[[],[[[[[]]],[]]]] => 1
[[],[[[[],[],[]]]]] => 1
[[],[[[[],[[]]]]]] => 1
[[],[[[[[]],[]]]]] => 1
[[],[[[[[],[]]]]]] => 1
[[],[[[[[[]]]]]]] => 1
[[[]],[],[],[],[],[]] => 1
[[[]],[],[],[],[[]]] => 1
[[[]],[],[],[[]],[]] => 1
[[[]],[],[],[[],[]]] => 1
[[[]],[],[],[[[]]]] => 1
[[[]],[],[[]],[],[]] => 1
[[[]],[],[[]],[[]]] => 1
[[[]],[],[[],[]],[]] => 1
[[[]],[],[[[]]],[]] => 1
[[[]],[],[[],[],[]]] => 1
[[[]],[],[[],[[]]]] => 1
[[[]],[],[[[]],[]]] => 1
[[[]],[],[[[],[]]]] => 1
[[[]],[],[[[[]]]]] => 1
[[[]],[[]],[],[],[]] => 1
[[[]],[[]],[],[[]]] => 1
[[[]],[[]],[[]],[]] => 1
[[[]],[[]],[[],[]]] => 2
[[[]],[[]],[[[]]]] => 2
[[[]],[[],[]],[],[]] => 1
[[[]],[[[]]],[],[]] => 1
[[[]],[[],[]],[[]]] => 2
[[[]],[[[]]],[[]]] => 2
[[[]],[[],[],[]],[]] => 1
[[[]],[[],[[]]],[]] => 1
[[[]],[[[]],[]],[]] => 1
[[[]],[[[],[]]],[]] => 1
[[[]],[[[[]]]],[]] => 1
[[[]],[[],[],[],[]]] => 2
[[[]],[[],[],[[]]]] => 2
[[[]],[[],[[]],[]]] => 2
[[[]],[[],[[],[]]]] => 2
[[[]],[[],[[[]]]]] => 2
[[[]],[[[]],[],[]]] => 2
[[[]],[[[]],[[]]]] => 2
[[[]],[[[],[]],[]]] => 2
[[[]],[[[[]]],[]]] => 2
[[[]],[[[],[],[]]]] => 2
[[[]],[[[],[[]]]]] => 2
[[[]],[[[[]],[]]]] => 2
[[[]],[[[[],[]]]]] => 2
[[[]],[[[[[]]]]]] => 2
[[[],[]],[],[],[],[]] => 1
[[[[]]],[],[],[],[]] => 1
[[[],[]],[],[],[[]]] => 1
[[[[]]],[],[],[[]]] => 1
[[[],[]],[],[[]],[]] => 1
[[[[]]],[],[[]],[]] => 1
[[[],[]],[],[[],[]]] => 1
[[[],[]],[],[[[]]]] => 1
[[[[]]],[],[[],[]]] => 1
[[[[]]],[],[[[]]]] => 1
[[[],[]],[[]],[],[]] => 1
[[[[]]],[[]],[],[]] => 1
[[[],[]],[[]],[[]]] => 2
[[[[]]],[[]],[[]]] => 2
[[[],[]],[[],[]],[]] => 1
[[[],[]],[[[]]],[]] => 1
[[[[]]],[[],[]],[]] => 1
[[[[]]],[[[]]],[]] => 1
[[[],[]],[[],[],[]]] => 2
[[[],[]],[[],[[]]]] => 2
[[[],[]],[[[]],[]]] => 2
[[[],[]],[[[],[]]]] => 2
[[[],[]],[[[[]]]]] => 2
[[[[]]],[[],[],[]]] => 2
[[[[]]],[[],[[]]]] => 2
[[[[]]],[[[]],[]]] => 2
[[[[]]],[[[],[]]]] => 3
[[[[]]],[[[[]]]]] => 3
[[[],[],[]],[],[],[]] => 1
[[[],[[]]],[],[],[]] => 1
[[[[]],[]],[],[],[]] => 1
[[[[],[]]],[],[],[]] => 1
[[[[[]]]],[],[],[]] => 1
[[[],[],[]],[],[[]]] => 1
[[[],[[]]],[],[[]]] => 1
[[[[]],[]],[],[[]]] => 1
[[[[],[]]],[],[[]]] => 1
[[[[[]]]],[],[[]]] => 1
[[[],[],[]],[[]],[]] => 1
[[[],[[]]],[[]],[]] => 1
[[[[]],[]],[[]],[]] => 1
[[[[],[]]],[[]],[]] => 1
[[[[[]]]],[[]],[]] => 1
[[[],[],[]],[[],[]]] => 2
[[[],[],[]],[[[]]]] => 2
[[[],[[]]],[[],[]]] => 2
[[[],[[]]],[[[]]]] => 2
[[[[]],[]],[[],[]]] => 2
[[[[]],[]],[[[]]]] => 2
[[[[],[]]],[[],[]]] => 2
[[[[],[]]],[[[]]]] => 3
[[[[[]]]],[[],[]]] => 2
[[[[[]]]],[[[]]]] => 3
[[[],[],[],[]],[],[]] => 1
[[[],[],[[]]],[],[]] => 1
[[[],[[]],[]],[],[]] => 1
[[[],[[],[]]],[],[]] => 1
[[[],[[[]]]],[],[]] => 1
[[[[]],[],[]],[],[]] => 1
[[[[]],[[]]],[],[]] => 1
[[[[],[]],[]],[],[]] => 1
[[[[[]]],[]],[],[]] => 1
[[[[],[],[]]],[],[]] => 1
[[[[],[[]]]],[],[]] => 1
[[[[[]],[]]],[],[]] => 1
[[[[[],[]]]],[],[]] => 1
[[[[[[]]]]],[],[]] => 1
[[[],[],[],[]],[[]]] => 2
[[[],[],[[]]],[[]]] => 2
[[[],[[]],[]],[[]]] => 2
[[[],[[],[]]],[[]]] => 2
[[[],[[[]]]],[[]]] => 2
[[[[]],[],[]],[[]]] => 2
[[[[]],[[]]],[[]]] => 2
[[[[],[]],[]],[[]]] => 2
[[[[[]]],[]],[[]]] => 2
[[[[],[],[]]],[[]]] => 2
[[[[],[[]]]],[[]]] => 2
[[[[[]],[]]],[[]]] => 2
[[[[[],[]]]],[[]]] => 2
[[[[[[]]]]],[[]]] => 2
[[[],[],[],[],[]],[]] => 1
[[[],[],[],[[]]],[]] => 1
[[[],[],[[]],[]],[]] => 1
[[[],[],[[],[]]],[]] => 1
[[[],[],[[[]]]],[]] => 1
[[[],[[]],[],[]],[]] => 1
[[[],[[]],[[]]],[]] => 1
[[[],[[],[]],[]],[]] => 1
[[[],[[[]]],[]],[]] => 1
[[[],[[],[],[]]],[]] => 1
[[[],[[],[[]]]],[]] => 1
[[[],[[[]],[]]],[]] => 1
[[[],[[[],[]]]],[]] => 1
[[[],[[[[]]]]],[]] => 1
[[[[]],[],[],[]],[]] => 1
[[[[]],[],[[]]],[]] => 1
[[[[]],[[]],[]],[]] => 1
[[[[]],[[],[]]],[]] => 1
[[[[]],[[[]]]],[]] => 1
[[[[],[]],[],[]],[]] => 1
[[[[[]]],[],[]],[]] => 1
[[[[],[]],[[]]],[]] => 1
[[[[[]]],[[]]],[]] => 1
[[[[],[],[]],[]],[]] => 1
[[[[],[[]]],[]],[]] => 1
[[[[[]],[]],[]],[]] => 1
[[[[[],[]]],[]],[]] => 1
[[[[[[]]]],[]],[]] => 1
[[[[],[],[],[]]],[]] => 1
[[[[],[],[[]]]],[]] => 1
[[[[],[[]],[]]],[]] => 1
[[[[],[[],[]]]],[]] => 1
[[[[],[[[]]]]],[]] => 1
[[[[[]],[],[]]],[]] => 1
[[[[[]],[[]]]],[]] => 1
[[[[[],[]],[]]],[]] => 1
[[[[[[]]],[]]],[]] => 1
[[[[[],[],[]]]],[]] => 1
[[[[[],[[]]]]],[]] => 1
[[[[[[]],[]]]],[]] => 1
[[[[[[],[]]]]],[]] => 1
[[[[[[[]]]]]],[]] => 1
[[[],[],[],[],[],[]]] => 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
[[[[]],[],[],[],[]]] => 2
[[[[]],[],[],[[]]]] => 2
[[[[]],[],[[]],[]]] => 2
[[[[]],[],[[],[]]]] => 2
[[[[]],[],[[[]]]]] => 2
[[[[]],[[]],[],[]]] => 2
[[[[]],[[]],[[]]]] => 3
[[[[]],[[],[]],[]]] => 2
[[[[]],[[[]]],[]]] => 2
[[[[]],[[],[],[]]]] => 3
[[[[]],[[],[[]]]]] => 3
[[[[]],[[[]],[]]]] => 3
[[[[]],[[[],[]]]]] => 3
[[[[]],[[[[]]]]]] => 3
[[[[],[]],[],[],[]]] => 2
[[[[[]]],[],[],[]]] => 2
[[[[],[]],[],[[]]]] => 2
[[[[[]]],[],[[]]]] => 2
[[[[],[]],[[]],[]]] => 2
[[[[[]]],[[]],[]]] => 2
[[[[],[]],[[],[]]]] => 3
[[[[],[]],[[[]]]]] => 3
[[[[[]]],[[],[]]]] => 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
[[[[],[],[],[[]]]]] => 3
[[[[],[],[[]],[]]]] => 3
[[[[],[],[[],[]]]]] => 3
[[[[],[],[[[]]]]]] => 3
[[[[],[[]],[],[]]]] => 3
[[[[],[[]],[[]]]]] => 3
[[[[],[[],[]],[]]]] => 3
[[[[],[[[]]],[]]]] => 3
[[[[],[[],[],[]]]]] => 3
[[[[],[[],[[]]]]]] => 3
[[[[],[[[]],[]]]]] => 3
[[[[],[[[],[]]]]]] => 3
[[[[],[[[[]]]]]]] => 3
[[[[[]],[],[],[]]]] => 3
[[[[[]],[],[[]]]]] => 3
[[[[[]],[[]],[]]]] => 3
[[[[[]],[[],[]]]]] => 4
[[[[[]],[[[]]]]]] => 4
[[[[[],[]],[],[]]]] => 3
[[[[[[]]],[],[]]]] => 3
[[[[[],[]],[[]]]]] => 4
[[[[[[]]],[[]]]]] => 4
[[[[[],[],[]],[]]]] => 3
[[[[[],[[]]],[]]]] => 3
[[[[[[]],[]],[]]]] => 3
[[[[[[],[]]],[]]]] => 3
[[[[[[[]]]],[]]]] => 3
[[[[[],[],[],[]]]]] => 4
[[[[[],[],[[]]]]]] => 4
[[[[[],[[]],[]]]]] => 4
[[[[[],[[],[]]]]]] => 4
[[[[[],[[[]]]]]]] => 4
[[[[[[]],[],[]]]]] => 4
[[[[[[]],[[]]]]]] => 5
[[[[[[],[]],[]]]]] => 4
[[[[[[[]]],[]]]]] => 4
[[[[[[],[],[]]]]]] => 5
[[[[[[],[[]]]]]]] => 5
[[[[[[[]],[]]]]]] => 5
[[[[[[[],[]]]]]]] => 6
[[[[[[[[]]]]]]]] => 7
[[],[],[],[],[],[],[],[]] => 1
[[],[],[],[],[],[],[[]]] => 1
[[],[],[],[],[],[[]],[]] => 1
[[],[],[],[],[],[[],[]]] => 1
[[],[],[],[],[],[[[]]]] => 1
[[],[],[],[],[[]],[],[]] => 1
[[],[],[],[],[[]],[[]]] => 1
[[],[],[],[],[[],[]],[]] => 1
[[],[],[],[],[[[]]],[]] => 1
[[],[],[],[],[[],[],[]]] => 1
[[],[],[],[],[[],[[]]]] => 1
[[],[],[],[],[[[]],[]]] => 1
[[],[],[],[],[[[],[]]]] => 1
[[],[],[],[],[[[[]]]]] => 1
[[],[],[],[[]],[],[],[]] => 1
[[],[],[],[[]],[],[[]]] => 1
[[],[],[],[[]],[[]],[]] => 1
[[],[],[],[[]],[[],[]]] => 1
[[],[],[],[[]],[[[]]]] => 1
[[],[],[],[[],[]],[],[]] => 1
[[],[],[],[[[]]],[],[]] => 1
[[],[],[],[[],[]],[[]]] => 1
[[],[],[],[[[]]],[[]]] => 1
[[],[],[],[[],[],[]],[]] => 1
[[],[],[],[[],[[]]],[]] => 1
[[],[],[],[[[]],[]],[]] => 1
[[],[],[],[[[],[]]],[]] => 1
[[],[],[],[[[[]]]],[]] => 1
[[],[],[],[[],[],[],[]]] => 1
[[],[],[],[[],[],[[]]]] => 1
[[],[],[],[[],[[]],[]]] => 1
[[],[],[],[[],[[],[]]]] => 1
[[],[],[],[[],[[[]]]]] => 1
[[],[],[],[[[]],[],[]]] => 1
[[],[],[],[[[]],[[]]]] => 1
[[],[],[],[[[],[]],[]]] => 1
[[],[],[],[[[[]]],[]]] => 1
[[],[],[],[[[],[],[]]]] => 1
[[],[],[],[[[],[[]]]]] => 1
[[],[],[],[[[[]],[]]]] => 1
[[],[],[],[[[[],[]]]]] => 1
[[],[],[],[[[[[]]]]]] => 1
[[],[],[[]],[],[],[],[]] => 1
[[],[],[[]],[],[],[[]]] => 1
[[],[],[[]],[],[[]],[]] => 1
[[],[],[[]],[],[[],[]]] => 1
[[],[],[[]],[],[[[]]]] => 1
[[],[],[[]],[[]],[],[]] => 1
[[],[],[[]],[[]],[[]]] => 1
[[],[],[[]],[[],[]],[]] => 1
[[],[],[[]],[[[]]],[]] => 1
[[],[],[[]],[[],[],[]]] => 1
[[],[],[[]],[[],[[]]]] => 1
[[],[],[[]],[[[]],[]]] => 1
[[],[],[[]],[[[],[]]]] => 1
[[],[],[[]],[[[[]]]]] => 1
[[],[],[[],[]],[],[],[]] => 1
[[],[],[[[]]],[],[],[]] => 1
[[],[],[[],[]],[],[[]]] => 1
[[],[],[[[]]],[],[[]]] => 1
[[],[],[[],[]],[[]],[]] => 1
[[],[],[[[]]],[[]],[]] => 1
[[],[],[[],[]],[[],[]]] => 1
[[],[],[[],[]],[[[]]]] => 1
[[],[],[[[]]],[[],[]]] => 1
[[],[],[[[]]],[[[]]]] => 1
[[],[],[[],[],[]],[],[]] => 1
[[],[],[[],[[]]],[],[]] => 1
[[],[],[[[]],[]],[],[]] => 1
[[],[],[[[],[]]],[],[]] => 1
[[],[],[[[[]]]],[],[]] => 1
[[],[],[[],[],[]],[[]]] => 1
[[],[],[[],[[]]],[[]]] => 1
[[],[],[[[]],[]],[[]]] => 1
[[],[],[[[],[]]],[[]]] => 1
[[],[],[[[[]]]],[[]]] => 1
[[],[],[[],[],[],[]],[]] => 1
[[],[],[[],[],[[]]],[]] => 1
[[],[],[[],[[]],[]],[]] => 1
[[],[],[[],[[],[]]],[]] => 1
[[],[],[[],[[[]]]],[]] => 1
[[],[],[[[]],[],[]],[]] => 1
[[],[],[[[]],[[]]],[]] => 1
[[],[],[[[],[]],[]],[]] => 1
[[],[],[[[[]]],[]],[]] => 1
[[],[],[[[],[],[]]],[]] => 1
[[],[],[[[],[[]]]],[]] => 1
[[],[],[[[[]],[]]],[]] => 1
[[],[],[[[[],[]]]],[]] => 1
[[],[],[[[[[]]]]],[]] => 1
[[],[],[[],[],[],[],[]]] => 1
[[],[],[[],[],[],[[]]]] => 1
[[],[],[[],[],[[]],[]]] => 1
[[],[],[[],[],[[],[]]]] => 1
[[],[],[[],[],[[[]]]]] => 1
[[],[],[[],[[]],[],[]]] => 1
[[],[],[[],[[]],[[]]]] => 1
[[],[],[[],[[],[]],[]]] => 1
[[],[],[[],[[[]]],[]]] => 1
[[],[],[[],[[],[],[]]]] => 1
[[],[],[[],[[],[[]]]]] => 1
[[],[],[[],[[[]],[]]]] => 1
[[],[],[[],[[[],[]]]]] => 1
[[],[],[[],[[[[]]]]]] => 1
[[],[],[[[]],[],[],[]]] => 1
[[],[],[[[]],[],[[]]]] => 1
[[],[],[[[]],[[]],[]]] => 1
[[],[],[[[]],[[],[]]]] => 1
[[],[],[[[]],[[[]]]]] => 1
[[],[],[[[],[]],[],[]]] => 1
[[],[],[[[[]]],[],[]]] => 1
[[],[],[[[],[]],[[]]]] => 1
[[],[],[[[[]]],[[]]]] => 1
[[],[],[[[],[],[]],[]]] => 1
[[],[],[[[],[[]]],[]]] => 1
[[],[],[[[[]],[]],[]]] => 1
[[],[],[[[[],[]]],[]]] => 1
[[],[],[[[[[]]]],[]]] => 1
[[],[],[[[],[],[],[]]]] => 1
[[],[],[[[],[],[[]]]]] => 1
[[],[],[[[],[[]],[]]]] => 1
[[],[],[[[],[[],[]]]]] => 1
[[],[],[[[],[[[]]]]]] => 1
[[],[],[[[[]],[],[]]]] => 1
[[],[],[[[[]],[[]]]]] => 1
[[],[],[[[[],[]],[]]]] => 1
[[],[],[[[[[]]],[]]]] => 1
[[],[],[[[[],[],[]]]]] => 1
[[],[],[[[[],[[]]]]]] => 1
[[],[],[[[[[]],[]]]]] => 1
[[],[],[[[[[],[]]]]]] => 1
[[],[],[[[[[[]]]]]]] => 1
[[],[[]],[],[],[],[],[]] => 1
[[],[[]],[],[],[],[[]]] => 1
[[],[[]],[],[],[[]],[]] => 1
[[],[[]],[],[],[[],[]]] => 1
[[],[[]],[],[],[[[]]]] => 1
[[],[[]],[],[[]],[],[]] => 1
[[],[[]],[],[[]],[[]]] => 1
[[],[[]],[],[[],[]],[]] => 1
[[],[[]],[],[[[]]],[]] => 1
[[],[[]],[],[[],[],[]]] => 1
[[],[[]],[],[[],[[]]]] => 1
[[],[[]],[],[[[]],[]]] => 1
[[],[[]],[],[[[],[]]]] => 1
[[],[[]],[],[[[[]]]]] => 1
[[],[[]],[[]],[],[],[]] => 1
[[],[[]],[[]],[],[[]]] => 1
[[],[[]],[[]],[[]],[]] => 1
[[],[[]],[[]],[[],[]]] => 1
[[],[[]],[[]],[[[]]]] => 1
[[],[[]],[[],[]],[],[]] => 1
[[],[[]],[[[]]],[],[]] => 1
[[],[[]],[[],[]],[[]]] => 1
[[],[[]],[[[]]],[[]]] => 1
[[],[[]],[[],[],[]],[]] => 1
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[[],[[]],[[[]],[]],[]] => 1
[[],[[]],[[[],[]]],[]] => 1
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[[],[[]],[[],[],[],[]]] => 1
[[],[[]],[[],[],[[]]]] => 1
[[],[[]],[[],[[]],[]]] => 1
[[],[[]],[[],[[],[]]]] => 1
[[],[[]],[[],[[[]]]]] => 1
[[],[[]],[[[]],[],[]]] => 1
[[],[[]],[[[]],[[]]]] => 1
[[],[[]],[[[],[]],[]]] => 1
[[],[[]],[[[[]]],[]]] => 1
[[],[[]],[[[],[],[]]]] => 1
[[],[[]],[[[],[[]]]]] => 1
[[],[[]],[[[[]],[]]]] => 1
[[],[[]],[[[[],[]]]]] => 1
[[],[[]],[[[[[]]]]]] => 1
[[],[[],[]],[],[],[],[]] => 1
[[],[[[]]],[],[],[],[]] => 1
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[[],[[[]]],[],[],[[]]] => 1
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[[],[[[]]],[],[[]],[]] => 1
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[[],[[],[]],[],[[[]]]] => 1
[[],[[[]]],[],[[],[]]] => 1
[[],[[[]]],[],[[[]]]] => 1
[[],[[],[]],[[]],[],[]] => 1
[[],[[[]]],[[]],[],[]] => 1
[[],[[],[]],[[]],[[]]] => 1
[[],[[[]]],[[]],[[]]] => 1
[[],[[],[]],[[],[]],[]] => 1
[[],[[],[]],[[[]]],[]] => 1
[[],[[[]]],[[],[]],[]] => 1
[[],[[[]]],[[[]]],[]] => 1
[[],[[],[]],[[],[],[]]] => 1
[[],[[],[]],[[],[[]]]] => 1
[[],[[],[]],[[[]],[]]] => 1
[[],[[],[]],[[[],[]]]] => 1
[[],[[],[]],[[[[]]]]] => 1
[[],[[[]]],[[],[],[]]] => 1
[[],[[[]]],[[],[[]]]] => 1
[[],[[[]]],[[[]],[]]] => 1
[[],[[[]]],[[[],[]]]] => 1
[[],[[[]]],[[[[]]]]] => 1
[[],[[],[],[]],[],[],[]] => 1
[[],[[],[[]]],[],[],[]] => 1
[[],[[[]],[]],[],[],[]] => 1
[[],[[[],[]]],[],[],[]] => 1
[[],[[[[]]]],[],[],[]] => 1
[[],[[],[],[]],[],[[]]] => 1
[[],[[],[[]]],[],[[]]] => 1
[[],[[[]],[]],[],[[]]] => 1
[[],[[[],[]]],[],[[]]] => 1
[[],[[[[]]]],[],[[]]] => 1
[[],[[],[],[]],[[]],[]] => 1
[[],[[],[[]]],[[]],[]] => 1
[[],[[[]],[]],[[]],[]] => 1
[[],[[[],[]]],[[]],[]] => 1
[[],[[[[]]]],[[]],[]] => 1
[[],[[],[],[]],[[],[]]] => 1
[[],[[],[],[]],[[[]]]] => 1
[[],[[],[[]]],[[],[]]] => 1
[[],[[],[[]]],[[[]]]] => 1
[[],[[[]],[]],[[],[]]] => 1
[[],[[[]],[]],[[[]]]] => 1
[[],[[[],[]]],[[],[]]] => 1
[[],[[[],[]]],[[[]]]] => 1
[[],[[[[]]]],[[],[]]] => 1
[[],[[[[]]]],[[[]]]] => 1
[[],[[],[],[],[]],[],[]] => 1
[[],[[],[],[[]]],[],[]] => 1
[[],[[],[[]],[]],[],[]] => 1
[[],[[],[[],[]]],[],[]] => 1
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[[],[[[]],[],[]],[],[]] => 1
[[],[[[]],[[]]],[],[]] => 1
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[[],[[[],[],[]]],[],[]] => 1
[[],[[[],[[]]]],[],[]] => 1
[[],[[[[]],[]]],[],[]] => 1
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[[],[[[[[]]]]],[],[]] => 1
[[],[[],[],[],[]],[[]]] => 1
[[],[[],[],[[]]],[[]]] => 1
[[],[[],[[]],[]],[[]]] => 1
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[[],[[[]],[],[]],[[]]] => 1
[[],[[[]],[[]]],[[]]] => 1
[[],[[[],[]],[]],[[]]] => 1
[[],[[[[]]],[]],[[]]] => 1
[[],[[[],[],[]]],[[]]] => 1
[[],[[[],[[]]]],[[]]] => 1
[[],[[[[]],[]]],[[]]] => 1
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[[],[[[[[]]]]],[[]]] => 1
[[],[[],[],[],[],[]],[]] => 1
[[],[[],[],[],[[]]],[]] => 1
[[],[[],[],[[]],[]],[]] => 1
[[],[[],[],[[],[]]],[]] => 1
[[],[[],[],[[[]]]],[]] => 1
[[],[[],[[]],[],[]],[]] => 1
[[],[[],[[]],[[]]],[]] => 1
[[],[[],[[],[]],[]],[]] => 1
[[],[[],[[[]]],[]],[]] => 1
[[],[[],[[],[],[]]],[]] => 1
[[],[[],[[],[[]]]],[]] => 1
[[],[[],[[[]],[]]],[]] => 1
[[],[[],[[[],[]]]],[]] => 1
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[[],[[[]],[],[],[]],[]] => 1
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[[],[[[]],[[]],[]],[]] => 1
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[[],[[[],[]],[],[]],[]] => 1
[[],[[[[]]],[],[]],[]] => 1
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[[],[[[[]]],[[]]],[]] => 1
[[],[[[],[],[]],[]],[]] => 1
[[],[[[],[[]]],[]],[]] => 1
[[],[[[[]],[]],[]],[]] => 1
[[],[[[[],[]]],[]],[]] => 1
[[],[[[[[]]]],[]],[]] => 1
[[],[[[],[],[],[]]],[]] => 1
[[],[[[],[],[[]]]],[]] => 1
[[],[[[],[[]],[]]],[]] => 1
[[],[[[],[[],[]]]],[]] => 1
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[[],[[[[]],[],[]]],[]] => 1
[[],[[[[]],[[]]]],[]] => 1
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[[],[[],[[],[],[],[]]]] => 1
[[],[[],[[],[],[[]]]]] => 1
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[[],[[],[[],[[],[]]]]] => 1
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[[],[[],[[[]],[],[]]]] => 1
[[],[[],[[[]],[[]]]]] => 1
[[],[[],[[[],[]],[]]]] => 1
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[[],[[],[[[],[],[]]]]] => 1
[[],[[],[[[],[[]]]]]] => 1
[[],[[],[[[[]],[]]]]] => 1
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[[],[[[]],[],[],[],[]]] => 1
[[],[[[]],[],[],[[]]]] => 1
[[],[[[]],[],[[]],[]]] => 1
[[],[[[]],[],[[],[]]]] => 1
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[[],[[[]],[[]],[],[]]] => 1
[[],[[[]],[[]],[[]]]] => 1
[[],[[[]],[[],[]],[]]] => 1
[[],[[[]],[[[]]],[]]] => 1
[[],[[[]],[[],[],[]]]] => 1
[[],[[[]],[[],[[]]]]] => 1
[[],[[[]],[[[]],[]]]] => 1
[[],[[[]],[[[],[]]]]] => 1
[[],[[[]],[[[[]]]]]] => 1
[[],[[[],[]],[],[],[]]] => 1
[[],[[[[]]],[],[],[]]] => 1
[[],[[[],[]],[],[[]]]] => 1
[[],[[[[]]],[],[[]]]] => 1
[[],[[[],[]],[[]],[]]] => 1
[[],[[[[]]],[[]],[]]] => 1
[[],[[[],[]],[[],[]]]] => 1
[[],[[[],[]],[[[]]]]] => 1
[[],[[[[]]],[[],[]]]] => 1
[[],[[[[]]],[[[]]]]] => 1
[[],[[[],[],[]],[],[]]] => 1
[[],[[[],[[]]],[],[]]] => 1
[[],[[[[]],[]],[],[]]] => 1
[[],[[[[],[]]],[],[]]] => 1
[[],[[[[[]]]],[],[]]] => 1
[[],[[[],[],[]],[[]]]] => 1
[[],[[[],[[]]],[[]]]] => 1
[[],[[[[]],[]],[[]]]] => 1
[[],[[[[],[]]],[[]]]] => 1
[[],[[[[[]]]],[[]]]] => 1
[[],[[[],[],[],[]],[]]] => 1
[[],[[[],[],[[]]],[]]] => 1
[[],[[[],[[]],[]],[]]] => 1
[[],[[[],[[],[]]],[]]] => 1
[[],[[[],[[[]]]],[]]] => 1
[[],[[[[]],[],[]],[]]] => 1
[[],[[[[]],[[]]],[]]] => 1
[[],[[[[],[]],[]],[]]] => 1
[[],[[[[[]]],[]],[]]] => 1
[[],[[[[],[],[]]],[]]] => 1
[[],[[[[],[[]]]],[]]] => 1
[[],[[[[[]],[]]],[]]] => 1
[[],[[[[[],[]]]],[]]] => 1
[[],[[[[[[]]]]],[]]] => 1
[[],[[[],[],[],[],[]]]] => 1
[[],[[[],[],[],[[]]]]] => 1
[[],[[[],[],[[]],[]]]] => 1
[[],[[[],[],[[],[]]]]] => 1
[[],[[[],[],[[[]]]]]] => 1
[[],[[[],[[]],[],[]]]] => 1
[[],[[[],[[]],[[]]]]] => 1
[[],[[[],[[],[]],[]]]] => 1
[[],[[[],[[[]]],[]]]] => 1
[[],[[[],[[],[],[]]]]] => 1
[[],[[[],[[],[[]]]]]] => 1
[[],[[[],[[[]],[]]]]] => 1
[[],[[[],[[[],[]]]]]] => 1
[[],[[[],[[[[]]]]]]] => 1
[[],[[[[]],[],[],[]]]] => 1
[[],[[[[]],[],[[]]]]] => 1
[[],[[[[]],[[]],[]]]] => 1
[[],[[[[]],[[],[]]]]] => 1
[[],[[[[]],[[[]]]]]] => 1
[[],[[[[],[]],[],[]]]] => 1
[[],[[[[[]]],[],[]]]] => 1
[[],[[[[],[]],[[]]]]] => 1
[[],[[[[[]]],[[]]]]] => 1
[[],[[[[],[],[]],[]]]] => 1
[[],[[[[],[[]]],[]]]] => 1
[[],[[[[[]],[]],[]]]] => 1
[[],[[[[[],[]]],[]]]] => 1
[[],[[[[[[]]]],[]]]] => 1
[[],[[[[],[],[],[]]]]] => 1
[[],[[[[],[],[[]]]]]] => 1
[[],[[[[],[[]],[]]]]] => 1
[[],[[[[],[[],[]]]]]] => 1
[[],[[[[],[[[]]]]]]] => 1
[[],[[[[[]],[],[]]]]] => 1
[[],[[[[[]],[[]]]]]] => 1
[[],[[[[[],[]],[]]]]] => 1
[[],[[[[[[]]],[]]]]] => 1
[[],[[[[[],[],[]]]]]] => 1
[[],[[[[[],[[]]]]]]] => 1
[[],[[[[[[]],[]]]]]] => 1
[[],[[[[[[],[]]]]]]] => 1
[[],[[[[[[[]]]]]]]] => 1
[[[]],[],[],[],[],[],[]] => 1
[[[]],[],[],[],[],[[]]] => 1
[[[]],[],[],[],[[]],[]] => 1
[[[]],[],[],[],[[],[]]] => 1
[[[]],[],[],[],[[[]]]] => 1
[[[]],[],[],[[]],[],[]] => 1
[[[]],[],[],[[]],[[]]] => 1
[[[]],[],[],[[],[]],[]] => 1
[[[]],[],[],[[[]]],[]] => 1
[[[]],[],[],[[],[],[]]] => 1
[[[]],[],[],[[],[[]]]] => 1
[[[]],[],[],[[[]],[]]] => 1
[[[]],[],[],[[[],[]]]] => 1
[[[]],[],[],[[[[]]]]] => 1
[[[]],[],[[]],[],[],[]] => 1
[[[]],[],[[]],[],[[]]] => 1
[[[]],[],[[]],[[]],[]] => 1
[[[]],[],[[]],[[],[]]] => 1
[[[]],[],[[]],[[[]]]] => 1
[[[]],[],[[],[]],[],[]] => 1
[[[]],[],[[[]]],[],[]] => 1
[[[]],[],[[],[]],[[]]] => 1
[[[]],[],[[[]]],[[]]] => 1
[[[]],[],[[],[],[]],[]] => 1
[[[]],[],[[],[[]]],[]] => 1
[[[]],[],[[[]],[]],[]] => 1
[[[]],[],[[[],[]]],[]] => 1
[[[]],[],[[[[]]]],[]] => 1
[[[]],[],[[],[],[],[]]] => 1
[[[]],[],[[],[],[[]]]] => 1
[[[]],[],[[],[[]],[]]] => 1
[[[]],[],[[],[[],[]]]] => 1
[[[]],[],[[],[[[]]]]] => 1
[[[]],[],[[[]],[],[]]] => 1
[[[]],[],[[[]],[[]]]] => 1
[[[]],[],[[[],[]],[]]] => 1
[[[]],[],[[[[]]],[]]] => 1
[[[]],[],[[[],[],[]]]] => 1
[[[]],[],[[[],[[]]]]] => 1
[[[]],[],[[[[]],[]]]] => 1
[[[]],[],[[[[],[]]]]] => 1
[[[]],[],[[[[[]]]]]] => 1
[[[]],[[]],[],[],[],[]] => 1
[[[]],[[]],[],[],[[]]] => 1
[[[]],[[]],[],[[]],[]] => 1
[[[]],[[]],[],[[],[]]] => 1
[[[]],[[]],[],[[[]]]] => 1
[[[]],[[]],[[]],[],[]] => 1
[[[]],[[]],[[]],[[]]] => 2
[[[]],[[]],[[],[]],[]] => 1
[[[]],[[]],[[[]]],[]] => 1
[[[]],[[]],[[],[],[]]] => 2
[[[]],[[]],[[],[[]]]] => 2
[[[]],[[]],[[[]],[]]] => 2
[[[]],[[]],[[[],[]]]] => 2
[[[]],[[]],[[[[]]]]] => 2
[[[]],[[],[]],[],[],[]] => 1
[[[]],[[[]]],[],[],[]] => 1
[[[]],[[],[]],[],[[]]] => 1
[[[]],[[[]]],[],[[]]] => 1
[[[]],[[],[]],[[]],[]] => 1
[[[]],[[[]]],[[]],[]] => 1
[[[]],[[],[]],[[],[]]] => 2
[[[]],[[],[]],[[[]]]] => 2
[[[]],[[[]]],[[],[]]] => 2
[[[]],[[[]]],[[[]]]] => 2
[[[]],[[],[],[]],[],[]] => 1
[[[]],[[],[[]]],[],[]] => 1
[[[]],[[[]],[]],[],[]] => 1
[[[]],[[[],[]]],[],[]] => 1
[[[]],[[[[]]]],[],[]] => 1
[[[]],[[],[],[]],[[]]] => 2
[[[]],[[],[[]]],[[]]] => 2
[[[]],[[[]],[]],[[]]] => 2
[[[]],[[[],[]]],[[]]] => 2
[[[]],[[[[]]]],[[]]] => 2
[[[]],[[],[],[],[]],[]] => 1
[[[]],[[],[],[[]]],[]] => 1
[[[]],[[],[[]],[]],[]] => 1
[[[]],[[],[[],[]]],[]] => 1
[[[]],[[],[[[]]]],[]] => 1
[[[]],[[[]],[],[]],[]] => 1
[[[]],[[[]],[[]]],[]] => 1
[[[]],[[[],[]],[]],[]] => 1
[[[]],[[[[]]],[]],[]] => 1
[[[]],[[[],[],[]]],[]] => 1
[[[]],[[[],[[]]]],[]] => 1
[[[]],[[[[]],[]]],[]] => 1
[[[]],[[[[],[]]]],[]] => 1
[[[]],[[[[[]]]]],[]] => 1
[[[]],[[],[],[],[],[]]] => 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
[[[],[]],[],[],[],[],[]] => 1
[[[[]]],[],[],[],[],[]] => 1
[[[],[]],[],[],[],[[]]] => 1
[[[[]]],[],[],[],[[]]] => 1
[[[],[]],[],[],[[]],[]] => 1
[[[[]]],[],[],[[]],[]] => 1
[[[],[]],[],[],[[],[]]] => 1
[[[],[]],[],[],[[[]]]] => 1
[[[[]]],[],[],[[],[]]] => 1
[[[[]]],[],[],[[[]]]] => 1
[[[],[]],[],[[]],[],[]] => 1
[[[[]]],[],[[]],[],[]] => 1
[[[],[]],[],[[]],[[]]] => 1
[[[[]]],[],[[]],[[]]] => 1
[[[],[]],[[],[[],[]]]] => 2
[[[],[]],[[[],[]],[]]] => 2
[[[],[[],[]]],[[],[]]] => 2
[[[[],[]],[]],[[],[]]] => 2
[[[],[[],[[],[]]]],[]] => 1
[[[],[[[],[]],[]]],[]] => 1
[[[[],[]],[[],[]]],[]] => 1
[[[[],[[],[]]],[]],[]] => 1
[[[[[],[]],[]],[]],[]] => 1
[[[[[],[[[]]]]]],[]] => 1
[[[[[[[]]],[]]]],[]] => 1
[[[[[[],[],[]]]]],[]] => 1
[[[[[[],[[]]]]]],[]] => 1
[[[[[[[]],[]]]]],[]] => 1
[[[[[[[],[]]]]]],[]] => 1
[[[[[[[[]]]]]]],[]] => 1
[[[[[[[[[]]]]]]]],[]] => 1
[[],[[[[[[[[]]]]]]]]] => 1
[[[[[[[[],[]]]]]]],[]] => 1
[[],[[[[[[[],[]]]]]]]] => 1
[[[[[[[[]],[]]]]]],[]] => 1
[[[[[[[],[[]]]]]]],[]] => 1
[[],[[[[[[[]],[]]]]]]] => 1
[[],[[[[[[],[[]]]]]]]] => 1
[[],[[],[[],[[],[[],[]]]]]] => 1
[[],[[],[[],[[[],[]],[]]]]] => 1
[[],[[],[[[],[]],[[],[]]]]] => 1
[[],[[],[[[],[[],[]]],[]]]] => 1
[[],[[],[[[[],[]],[]],[]]]] => 1
[[],[[[],[]],[[],[[],[]]]]] => 1
[[],[[[],[]],[[[],[]],[]]]] => 1
[[],[[[],[[],[]]],[[],[]]]] => 1
[[],[[[[],[]],[]],[[],[]]]] => 1
[[],[[[],[[],[[],[]]]],[]]] => 1
[[],[[[],[[[],[]],[]]],[]]] => 1
[[],[[[[],[]],[[],[]]],[]]] => 1
[[],[[[[],[[],[]]],[]],[]]] => 1
[[],[[[[[],[]],[]],[]],[]]] => 1
[[[],[]],[[],[[],[[],[]]]]] => 2
[[[],[]],[[],[[[],[]],[]]]] => 2
[[[],[]],[[[],[]],[[],[]]]] => 2
[[[],[]],[[[],[[],[]]],[]]] => 2
[[[],[]],[[[[],[]],[]],[]]] => 2
[[[],[[],[]]],[[],[[],[]]]] => 2
[[[],[[],[]]],[[[],[]],[]]] => 2
[[[[],[]],[]],[[],[[],[]]]] => 2
[[[[],[]],[]],[[[],[]],[]]] => 2
[[[],[[],[[],[]]]],[[],[]]] => 2
[[[],[[[],[]],[]]],[[],[]]] => 2
[[[[],[]],[[],[]]],[[],[]]] => 2
[[[[],[[],[]]],[]],[[],[]]] => 2
[[[[[],[]],[]],[]],[[],[]]] => 2
[[[],[[],[[],[[],[]]]]],[]] => 1
[[[],[[],[[[],[]],[]]]],[]] => 1
[[[],[[[],[]],[[],[]]]],[]] => 1
[[[],[[[],[[],[]]],[]]],[]] => 1
[[[],[[[[],[]],[]],[]]],[]] => 1
[[[[],[]],[[],[[],[]]]],[]] => 1
[[[[],[]],[[[],[]],[]]],[]] => 1
[[[[],[[],[]]],[[],[]]],[]] => 1
[[[[[],[]],[]],[[],[]]],[]] => 1
[[[[],[[],[[],[]]]],[]],[]] => 1
[[[[],[[[],[]],[]]],[]],[]] => 1
[[[[[],[]],[[],[]]],[]],[]] => 1
[[[[[],[[],[]]],[]],[]],[]] => 1
[[[[[[],[]],[]],[]],[]],[]] => 1
[[[[[[[[[[]]]]]]]]],[]] => 1
[[],[[[[[[[[[]]]]]]]]]] => 1
[[[[[[[[[],[]]]]]]]],[]] => 1
[[],[[[[[[[[],[]]]]]]]]] => 1
[[[[[[[[[[[]]]]]]]]]],[]] => 1
[[],[[[[[[[[[[]]]]]]]]]]] => 1
[[],[[],[[],[[],[[],[[],[]]]]]]] => 1
[[],[[],[[],[[],[[[],[]],[]]]]]] => 1
[[],[[],[[],[[[],[]],[[],[]]]]]] => 1
[[],[[],[[],[[[],[[],[]]],[]]]]] => 1
[[],[[],[[],[[[[],[]],[]],[]]]]] => 1
[[],[[],[[[],[]],[[],[[],[]]]]]] => 1
[[],[[],[[[],[]],[[[],[]],[]]]]] => 1
[[],[[],[[[],[[],[]]],[[],[]]]]] => 1
[[],[[],[[[[],[]],[]],[[],[]]]]] => 1
[[],[[],[[[],[[],[[],[]]]],[]]]] => 1
[[],[[],[[[],[[[],[]],[]]],[]]]] => 1
[[],[[],[[[[],[]],[[],[]]],[]]]] => 1
[[],[[],[[[[],[[],[]]],[]],[]]]] => 1
[[],[[],[[[[[],[]],[]],[]],[]]]] => 1
[[],[[[],[]],[[],[[],[[],[]]]]]] => 1
[[],[[[],[]],[[],[[[],[]],[]]]]] => 1
[[],[[[],[]],[[[],[]],[[],[]]]]] => 1
[[],[[[],[]],[[[],[[],[]]],[]]]] => 1
[[],[[[],[]],[[[[],[]],[]],[]]]] => 1
[[],[[[],[[],[]]],[[],[[],[]]]]] => 1
[[],[[[],[[],[]]],[[[],[]],[]]]] => 1
[[],[[[[],[]],[]],[[],[[],[]]]]] => 1
[[],[[[[],[]],[]],[[[],[]],[]]]] => 1
[[],[[[],[[],[[],[]]]],[[],[]]]] => 1
[[],[[[],[[[],[]],[]]],[[],[]]]] => 1
[[],[[[[],[]],[[],[]]],[[],[]]]] => 1
[[],[[[[],[[],[]]],[]],[[],[]]]] => 1
[[],[[[[[],[]],[]],[]],[[],[]]]] => 1
[[],[[[],[[],[[],[[],[]]]]],[]]] => 1
[[],[[[],[[],[[[],[]],[]]]],[]]] => 1
[[],[[[],[[[],[]],[[],[]]]],[]]] => 1
[[],[[[],[[[],[[],[]]],[]]],[]]] => 1
[[],[[[],[[[[],[]],[]],[]]],[]]] => 1
[[],[[[[],[]],[[],[[],[]]]],[]]] => 1
[[],[[[[],[]],[[[],[]],[]]],[]]] => 1
[[],[[[[],[[],[]]],[[],[]]],[]]] => 1
[[],[[[[[],[]],[]],[[],[]]],[]]] => 1
[[],[[[[],[[],[[],[]]]],[]],[]]] => 1
[[],[[[[],[[[],[]],[]]],[]],[]]] => 1
[[],[[[[[],[]],[[],[]]],[]],[]]] => 1
[[],[[[[[],[[],[]]],[]],[]],[]]] => 1
[[],[[[[[[],[]],[]],[]],[]],[]]] => 1
[[[],[]],[[],[[],[[],[[],[]]]]]] => 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
[[[[[],[]],[]],[[],[]]],[[],[]]] => 2
[[[[],[[],[[],[]]]],[]],[[],[]]] => 2
[[[[],[[[],[]],[]]],[]],[[],[]]] => 2
[[[[[],[]],[[],[]]],[]],[[],[]]] => 2
[[[[[],[[],[]]],[]],[]],[[],[]]] => 2
[[[[[[],[]],[]],[]],[]],[[],[]]] => 2
[[[],[[],[[],[[],[[],[]]]]]],[]] => 1
[[[],[[],[[],[[[],[]],[]]]]],[]] => 1
[[[],[[],[[[],[]],[[],[]]]]],[]] => 1
[[[],[[],[[[],[[],[]]],[]]]],[]] => 1
[[[],[[],[[[[],[]],[]],[]]]],[]] => 1
[[[],[[[],[]],[[],[[],[]]]]],[]] => 1
[[[],[[[],[]],[[[],[]],[]]]],[]] => 1
[[[],[[[],[[],[]]],[[],[]]]],[]] => 1
[[[],[[[[],[]],[]],[[],[]]]],[]] => 1
[[[],[[[],[[],[[],[]]]],[]]],[]] => 1
[[[],[[[],[[[],[]],[]]],[]]],[]] => 1
[[[],[[[[],[]],[[],[]]],[]]],[]] => 1
[[[],[[[[],[[],[]]],[]],[]]],[]] => 1
[[[],[[[[[],[]],[]],[]],[]]],[]] => 1
[[[[],[]],[[],[[],[[],[]]]]],[]] => 1
[[[[],[]],[[],[[[],[]],[]]]],[]] => 1
[[[[],[]],[[[],[]],[[],[]]]],[]] => 1
[[[[],[]],[[[],[[],[]]],[]]],[]] => 1
[[[[],[]],[[[[],[]],[]],[]]],[]] => 1
[[[[],[[],[]]],[[],[[],[]]]],[]] => 1
[[[[],[[],[]]],[[[],[]],[]]],[]] => 1
[[[[[],[]],[]],[[],[[],[]]]],[]] => 1
[[[[[],[]],[]],[[[],[]],[]]],[]] => 1
[[[[],[[],[[],[]]]],[[],[]]],[]] => 1
[[[[],[[[],[]],[]]],[[],[]]],[]] => 1
[[[[[],[]],[[],[]]],[[],[]]],[]] => 1
[[[[[],[[],[]]],[]],[[],[]]],[]] => 1
[[[[[[],[]],[]],[]],[[],[]]],[]] => 1
[[[[],[[],[[],[[],[]]]]],[]],[]] => 1
[[[[],[[],[[[],[]],[]]]],[]],[]] => 1
[[[[],[[[],[]],[[],[]]]],[]],[]] => 1
[[[[],[[[],[[],[]]],[]]],[]],[]] => 1
[[[[],[[[[],[]],[]],[]]],[]],[]] => 1
[[[[[],[]],[[],[[],[]]]],[]],[]] => 1
[[[[[],[]],[[[],[]],[]]],[]],[]] => 1
[[[[[],[[],[]]],[[],[]]],[]],[]] => 1
[[[[[[],[]],[]],[[],[]]],[]],[]] => 1
[[[[[],[[],[[],[]]]],[]],[]],[]] => 1
[[[[[],[[[],[]],[]]],[]],[]],[]] => 1
[[[[[[],[]],[[],[]]],[]],[]],[]] => 1
[[[[[[],[[],[]]],[]],[]],[]],[]] => 1
[[[[[[[],[]],[]],[]],[]],[]],[]] => 1
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Created: Feb 23, 2017 at 20:14 by Martin Rubey
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Last Updated: Dec 26, 2017 at 12:32 by Martin Rubey