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*       www.FindStat.org - The Combinatorial Statistic Finder               *
*                                                                           *
*       Copyright (C) 2019 The FindStatCrew <info@findstat.org>             *
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*    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: St000523

-----------------------------------------------------------------------------
Collection: Ordered trees

-----------------------------------------------------------------------------
Description: The number of 2-protected nodes of a rooted tree.

This is the number of nodes with minimal distance two to a leaf.  The number of trees with no 2-protected nodes is [[oeis:A143363]].

-----------------------------------------------------------------------------
References: [1]   Copenhaver, K. $k$-protected vertices in unlabeled rooted plane trees [[arXiv:1606.00083]]

-----------------------------------------------------------------------------
Code:
def protection_aux(T, k):
    """Return the number of nodes whose minimal distance to a leaf is k
    and the minimal distance of the root to a leaf.

    """
    children = [protection_aux(t, k) for t in T]
    if len(children) == 0:
        if k == 0:
            return (1, 0)
        else:
            return (0, 0)

    kids = sum(num for num, _ in children)
    root = 1 + min(p for _, p in children)
    if root == k:
        return (1 + kids, root)
    else:
        return (kids, root)

def statistic(T):
    """Return the number of nodes whose minimal distance to a leaf is k"""
    return protection_aux(T, 2)[0]

-----------------------------------------------------------------------------
Statistic values:

[[]]                             => 0
[[],[]]                          => 0
[[[]]]                           => 1
[[],[],[]]                       => 0
[[],[[]]]                        => 0
[[[]],[]]                        => 0
[[[],[]]]                        => 1
[[[[]]]]                         => 1
[[],[],[],[]]                    => 0
[[],[],[[]]]                     => 0
[[],[[]],[]]                     => 0
[[],[[],[]]]                     => 0
[[],[[[]]]]                      => 1
[[[]],[],[]]                     => 0
[[[]],[[]]]                      => 1
[[[],[]],[]]                     => 0
[[[[]]],[]]                      => 1
[[[],[],[]]]                     => 1
[[[],[[]]]]                      => 1
[[[[]],[]]]                      => 1
[[[[],[]]]]                      => 1
[[[[[]]]]]                       => 1
[[],[],[],[],[]]                 => 0
[[],[],[],[[]]]                  => 0
[[],[],[[]],[]]                  => 0
[[],[],[[],[]]]                  => 0
[[],[],[[[]]]]                   => 1
[[],[[]],[],[]]                  => 0
[[],[[]],[[]]]                   => 0
[[],[[],[]],[]]                  => 0
[[],[[[]]],[]]                   => 1
[[],[[],[],[]]]                  => 0
[[],[[],[[]]]]                   => 0
[[],[[[]],[]]]                   => 0
[[],[[[],[]]]]                   => 1
[[],[[[[]]]]]                    => 1
[[[]],[],[],[]]                  => 0
[[[]],[],[[]]]                   => 0
[[[]],[[]],[]]                   => 0
[[[]],[[],[]]]                   => 1
[[[]],[[[]]]]                    => 2
[[[],[]],[],[]]                  => 0
[[[[]]],[],[]]                   => 1
[[[],[]],[[]]]                   => 1
[[[[]]],[[]]]                    => 2
[[[],[],[]],[]]                  => 0
[[[],[[]]],[]]                   => 0
[[[[]],[]],[]]                   => 0
[[[[],[]]],[]]                   => 1
[[[[[]]]],[]]                    => 1
[[[],[],[],[]]]                  => 1
[[[],[],[[]]]]                   => 1
[[[],[[]],[]]]                   => 1
[[[],[[],[]]]]                   => 1
[[[],[[[]]]]]                    => 2
[[[[]],[],[]]]                   => 1
[[[[]],[[]]]]                    => 1
[[[[],[]],[]]]                   => 1
[[[[[]]],[]]]                    => 2
[[[[],[],[]]]]                   => 1
[[[[],[[]]]]]                    => 1
[[[[[]],[]]]]                    => 1
[[[[[],[]]]]]                    => 1
[[[[[[]]]]]]                     => 1
[[],[],[],[],[],[]]              => 0
[[],[],[],[],[[]]]               => 0
[[],[],[],[[]],[]]               => 0
[[],[],[],[[],[]]]               => 0
[[],[],[],[[[]]]]                => 1
[[],[],[[]],[],[]]               => 0
[[],[],[[]],[[]]]                => 0
[[],[],[[],[]],[]]               => 0
[[],[],[[[]]],[]]                => 1
[[],[],[[],[],[]]]               => 0
[[],[],[[],[[]]]]                => 0
[[],[],[[[]],[]]]                => 0
[[],[],[[[],[]]]]                => 1
[[],[],[[[[]]]]]                 => 1
[[],[[]],[],[],[]]               => 0
[[],[[]],[],[[]]]                => 0
[[],[[]],[[]],[]]                => 0
[[],[[]],[[],[]]]                => 0
[[],[[]],[[[]]]]                 => 1
[[],[[],[]],[],[]]               => 0
[[],[[[]]],[],[]]                => 1
[[],[[],[]],[[]]]                => 0
[[],[[[]]],[[]]]                 => 1
[[],[[],[],[]],[]]               => 0
[[],[[],[[]]],[]]                => 0
[[],[[[]],[]],[]]                => 0
[[],[[[],[]]],[]]                => 1
[[],[[[[]]]],[]]                 => 1
[[],[[],[],[],[]]]               => 0
[[],[[],[],[[]]]]                => 0
[[],[[],[[]],[]]]                => 0
[[],[[],[[],[]]]]                => 0
[[],[[],[[[]]]]]                 => 1
[[],[[[]],[],[]]]                => 0
[[],[[[]],[[]]]]                 => 1
[[],[[[],[]],[]]]                => 0
[[],[[[[]]],[]]]                 => 1
[[],[[[],[],[]]]]                => 1
[[],[[[],[[]]]]]                 => 1
[[],[[[[]],[]]]]                 => 1
[[],[[[[],[]]]]]                 => 1
[[],[[[[[]]]]]]                  => 1
[[[]],[],[],[],[]]               => 0
[[[]],[],[],[[]]]                => 0
[[[]],[],[[]],[]]                => 0
[[[]],[],[[],[]]]                => 0
[[[]],[],[[[]]]]                 => 1
[[[]],[[]],[],[]]                => 0
[[[]],[[]],[[]]]                 => 1
[[[]],[[],[]],[]]                => 0
[[[]],[[[]]],[]]                 => 1
[[[]],[[],[],[]]]                => 1
[[[]],[[],[[]]]]                 => 1
[[[]],[[[]],[]]]                 => 1
[[[]],[[[],[]]]]                 => 2
[[[]],[[[[]]]]]                  => 2
[[[],[]],[],[],[]]               => 0
[[[[]]],[],[],[]]                => 1
[[[],[]],[],[[]]]                => 0
[[[[]]],[],[[]]]                 => 1
[[[],[]],[[]],[]]                => 0
[[[[]]],[[]],[]]                 => 1
[[[],[]],[[],[]]]                => 1
[[[],[]],[[[]]]]                 => 2
[[[[]]],[[],[]]]                 => 2
[[[[]]],[[[]]]]                  => 2
[[[],[],[]],[],[]]               => 0
[[[],[[]]],[],[]]                => 0
[[[[]],[]],[],[]]                => 0
[[[[],[]]],[],[]]                => 1
[[[[[]]]],[],[]]                 => 1
[[[],[],[]],[[]]]                => 1
[[[],[[]]],[[]]]                 => 1
[[[[]],[]],[[]]]                 => 1
[[[[],[]]],[[]]]                 => 2
[[[[[]]]],[[]]]                  => 2
[[[],[],[],[]],[]]               => 0
[[[],[],[[]]],[]]                => 0
[[[],[[]],[]],[]]                => 0
[[[],[[],[]]],[]]                => 0
[[[],[[[]]]],[]]                 => 1
[[[[]],[],[]],[]]                => 0
[[[[]],[[]]],[]]                 => 1
[[[[],[]],[]],[]]                => 0
[[[[[]]],[]],[]]                 => 1
[[[[],[],[]]],[]]                => 1
[[[[],[[]]]],[]]                 => 1
[[[[[]],[]]],[]]                 => 1
[[[[[],[]]]],[]]                 => 1
[[[[[[]]]]],[]]                  => 1
[[[],[],[],[],[]]]               => 1
[[[],[],[],[[]]]]                => 1
[[[],[],[[]],[]]]                => 1
[[[],[],[[],[]]]]                => 1
[[[],[],[[[]]]]]                 => 2
[[[],[[]],[],[]]]                => 1
[[[],[[]],[[]]]]                 => 1
[[[],[[],[]],[]]]                => 1
[[[],[[[]]],[]]]                 => 2
[[[],[[],[],[]]]]                => 1
[[[],[[],[[]]]]]                 => 1
[[[],[[[]],[]]]]                 => 1
[[[],[[[],[]]]]]                 => 2
[[[],[[[[]]]]]]                  => 2
[[[[]],[],[],[]]]                => 1
[[[[]],[],[[]]]]                 => 1
[[[[]],[[]],[]]]                 => 1
[[[[]],[[],[]]]]                 => 1
[[[[]],[[[]]]]]                  => 2
[[[[],[]],[],[]]]                => 1
[[[[[]]],[],[]]]                 => 2
[[[[],[]],[[]]]]                 => 1
[[[[[]]],[[]]]]                  => 2
[[[[],[],[]],[]]]                => 1
[[[[],[[]]],[]]]                 => 1
[[[[[]],[]],[]]]                 => 1
[[[[[],[]]],[]]]                 => 2
[[[[[[]]]],[]]]                  => 2
[[[[],[],[],[]]]]                => 1
[[[[],[],[[]]]]]                 => 1
[[[[],[[]],[]]]]                 => 1
[[[[],[[],[]]]]]                 => 1
[[[[],[[[]]]]]]                  => 2
[[[[[]],[],[]]]]                 => 1
[[[[[]],[[]]]]]                  => 1
[[[[[],[]],[]]]]                 => 1
[[[[[[]]],[]]]]                  => 2
[[[[[],[],[]]]]]                 => 1
[[[[[],[[]]]]]]                  => 1
[[[[[[]],[]]]]]                  => 1
[[[[[[],[]]]]]]                  => 1
[[[[[[[]]]]]]]                   => 1
[[],[],[],[],[],[],[]]           => 0
[[],[],[],[],[],[[]]]            => 0
[[],[],[],[],[[]],[]]            => 0
[[],[],[],[],[[],[]]]            => 0
[[],[],[],[],[[[]]]]             => 1
[[],[],[],[[]],[],[]]            => 0
[[],[],[],[[]],[[]]]             => 0
[[],[],[],[[],[]],[]]            => 0
[[],[],[],[[[]]],[]]             => 1
[[],[],[],[[],[],[]]]            => 0
[[],[],[],[[],[[]]]]             => 0
[[],[],[],[[[]],[]]]             => 0
[[],[],[],[[[],[]]]]             => 1
[[],[],[],[[[[]]]]]              => 1
[[],[],[[]],[],[],[]]            => 0
[[],[],[[]],[],[[]]]             => 0
[[],[],[[]],[[]],[]]             => 0
[[],[],[[]],[[],[]]]             => 0
[[],[],[[]],[[[]]]]              => 1
[[],[],[[],[]],[],[]]            => 0
[[],[],[[[]]],[],[]]             => 1
[[],[],[[],[]],[[]]]             => 0
[[],[],[[[]]],[[]]]              => 1
[[],[],[[],[],[]],[]]            => 0
[[],[],[[],[[]]],[]]             => 0
[[],[],[[[]],[]],[]]             => 0
[[],[],[[[],[]]],[]]             => 1
[[],[],[[[[]]]],[]]              => 1
[[],[],[[],[],[],[]]]            => 0
[[],[],[[],[],[[]]]]             => 0
[[],[],[[],[[]],[]]]             => 0
[[],[],[[],[[],[]]]]             => 0
[[],[],[[],[[[]]]]]              => 1
[[],[],[[[]],[],[]]]             => 0
[[],[],[[[]],[[]]]]              => 1
[[],[],[[[],[]],[]]]             => 0
[[],[],[[[[]]],[]]]              => 1
[[],[],[[[],[],[]]]]             => 1
[[],[],[[[],[[]]]]]              => 1
[[],[],[[[[]],[]]]]              => 1
[[],[],[[[[],[]]]]]              => 1
[[],[],[[[[[]]]]]]               => 1
[[],[[]],[],[],[],[]]            => 0
[[],[[]],[],[],[[]]]             => 0
[[],[[]],[],[[]],[]]             => 0
[[],[[]],[],[[],[]]]             => 0
[[],[[]],[],[[[]]]]              => 1
[[],[[]],[[]],[],[]]             => 0
[[],[[]],[[]],[[]]]              => 0
[[],[[]],[[],[]],[]]             => 0
[[],[[]],[[[]]],[]]              => 1
[[],[[]],[[],[],[]]]             => 0
[[],[[]],[[],[[]]]]              => 0
[[],[[]],[[[]],[]]]              => 0
[[],[[]],[[[],[]]]]              => 1
[[],[[]],[[[[]]]]]               => 1
[[],[[],[]],[],[],[]]            => 0
[[],[[[]]],[],[],[]]             => 1
[[],[[],[]],[],[[]]]             => 0
[[],[[[]]],[],[[]]]              => 1
[[],[[],[]],[[]],[]]             => 0
[[],[[[]]],[[]],[]]              => 1
[[],[[],[]],[[],[]]]             => 0
[[],[[],[]],[[[]]]]              => 1
[[],[[[]]],[[],[]]]              => 1
[[],[[[]]],[[[]]]]               => 2
[[],[[],[],[]],[],[]]            => 0
[[],[[],[[]]],[],[]]             => 0
[[],[[[]],[]],[],[]]             => 0
[[],[[[],[]]],[],[]]             => 1
[[],[[[[]]]],[],[]]              => 1
[[],[[],[],[]],[[]]]             => 0
[[],[[],[[]]],[[]]]              => 0
[[],[[[]],[]],[[]]]              => 0
[[],[[[],[]]],[[]]]              => 1
[[],[[[[]]]],[[]]]               => 1
[[],[[],[],[],[]],[]]            => 0
[[],[[],[],[[]]],[]]             => 0
[[],[[],[[]],[]],[]]             => 0
[[],[[],[[],[]]],[]]             => 0
[[],[[],[[[]]]],[]]              => 1
[[],[[[]],[],[]],[]]             => 0
[[],[[[]],[[]]],[]]              => 1
[[],[[[],[]],[]],[]]             => 0
[[],[[[[]]],[]],[]]              => 1
[[],[[[],[],[]]],[]]             => 1
[[],[[[],[[]]]],[]]              => 1
[[],[[[[]],[]]],[]]              => 1
[[],[[[[],[]]]],[]]              => 1
[[],[[[[[]]]]],[]]               => 1
[[],[[],[],[],[],[]]]            => 0
[[],[[],[],[],[[]]]]             => 0
[[],[[],[],[[]],[]]]             => 0
[[],[[],[],[[],[]]]]             => 0
[[],[[],[],[[[]]]]]              => 1
[[],[[],[[]],[],[]]]             => 0
[[],[[],[[]],[[]]]]              => 0
[[],[[],[[],[]],[]]]             => 0
[[],[[],[[[]]],[]]]              => 1
[[],[[],[[],[],[]]]]             => 0
[[],[[],[[],[[]]]]]              => 0
[[],[[],[[[]],[]]]]              => 0
[[],[[],[[[],[]]]]]              => 1
[[],[[],[[[[]]]]]]               => 1
[[],[[[]],[],[],[]]]             => 0
[[],[[[]],[],[[]]]]              => 0
[[],[[[]],[[]],[]]]              => 0
[[],[[[]],[[],[]]]]              => 1
[[],[[[]],[[[]]]]]               => 2
[[],[[[],[]],[],[]]]             => 0
[[],[[[[]]],[],[]]]              => 1
[[],[[[],[]],[[]]]]              => 1
[[],[[[[]]],[[]]]]               => 2
[[],[[[],[],[]],[]]]             => 0
[[],[[[],[[]]],[]]]              => 0
[[],[[[[]],[]],[]]]              => 0
[[],[[[[],[]]],[]]]              => 1
[[],[[[[[]]]],[]]]               => 1
[[],[[[],[],[],[]]]]             => 1
[[],[[[],[],[[]]]]]              => 1
[[],[[[],[[]],[]]]]              => 1
[[],[[[],[[],[]]]]]              => 1
[[],[[[],[[[]]]]]]               => 2
[[],[[[[]],[],[]]]]              => 1
[[],[[[[]],[[]]]]]               => 1
[[],[[[[],[]],[]]]]              => 1
[[],[[[[[]]],[]]]]               => 2
[[],[[[[],[],[]]]]]              => 1
[[],[[[[],[[]]]]]]               => 1
[[],[[[[[]],[]]]]]               => 1
[[],[[[[[],[]]]]]]               => 1
[[],[[[[[[]]]]]]]                => 1
[[[]],[],[],[],[],[]]            => 0
[[[]],[],[],[],[[]]]             => 0
[[[]],[],[],[[]],[]]             => 0
[[[]],[],[],[[],[]]]             => 0
[[[]],[],[],[[[]]]]              => 1
[[[]],[],[[]],[],[]]             => 0
[[[]],[],[[]],[[]]]              => 0
[[[]],[],[[],[]],[]]             => 0
[[[]],[],[[[]]],[]]              => 1
[[[]],[],[[],[],[]]]             => 0
[[[]],[],[[],[[]]]]              => 0
[[[]],[],[[[]],[]]]              => 0
[[[]],[],[[[],[]]]]              => 1
[[[]],[],[[[[]]]]]               => 1
[[[]],[[]],[],[],[]]             => 0
[[[]],[[]],[],[[]]]              => 0
[[[]],[[]],[[]],[]]              => 0
[[[]],[[]],[[],[]]]              => 1
[[[]],[[]],[[[]]]]               => 2
[[[]],[[],[]],[],[]]             => 0
[[[]],[[[]]],[],[]]              => 1
[[[]],[[],[]],[[]]]              => 1
[[[]],[[[]]],[[]]]               => 2
[[[]],[[],[],[]],[]]             => 0
[[[]],[[],[[]]],[]]              => 0
[[[]],[[[]],[]],[]]              => 0
[[[]],[[[],[]]],[]]              => 1
[[[]],[[[[]]]],[]]               => 1
[[[]],[[],[],[],[]]]             => 1
[[[]],[[],[],[[]]]]              => 1
[[[]],[[],[[]],[]]]              => 1
[[[]],[[],[[],[]]]]              => 1
[[[]],[[],[[[]]]]]               => 2
[[[]],[[[]],[],[]]]              => 1
[[[]],[[[]],[[]]]]               => 2
[[[]],[[[],[]],[]]]              => 1
[[[]],[[[[]]],[]]]               => 2
[[[]],[[[],[],[]]]]              => 2
[[[]],[[[],[[]]]]]               => 2
[[[]],[[[[]],[]]]]               => 2
[[[]],[[[[],[]]]]]               => 2
[[[]],[[[[[]]]]]]                => 2
[[[],[]],[],[],[],[]]            => 0
[[[[]]],[],[],[],[]]             => 1
[[[],[]],[],[],[[]]]             => 0
[[[[]]],[],[],[[]]]              => 1
[[[],[]],[],[[]],[]]             => 0
[[[[]]],[],[[]],[]]              => 1
[[[],[]],[],[[],[]]]             => 0
[[[],[]],[],[[[]]]]              => 1
[[[[]]],[],[[],[]]]              => 1
[[[[]]],[],[[[]]]]               => 2
[[[],[]],[[]],[],[]]             => 0
[[[[]]],[[]],[],[]]              => 1
[[[],[]],[[]],[[]]]              => 1
[[[[]]],[[]],[[]]]               => 2
[[[],[]],[[],[]],[]]             => 0
[[[],[]],[[[]]],[]]              => 1
[[[[]]],[[],[]],[]]              => 1
[[[[]]],[[[]]],[]]               => 2
[[[],[]],[[],[],[]]]             => 1
[[[],[]],[[],[[]]]]              => 1
[[[],[]],[[[]],[]]]              => 1
[[[],[]],[[[],[]]]]              => 2
[[[],[]],[[[[]]]]]               => 2
[[[[]]],[[],[],[]]]              => 2
[[[[]]],[[],[[]]]]               => 2
[[[[]]],[[[]],[]]]               => 2
[[[[]]],[[[],[]]]]               => 2
[[[[]]],[[[[]]]]]                => 2
[[[],[],[]],[],[],[]]            => 0
[[[],[[]]],[],[],[]]             => 0
[[[[]],[]],[],[],[]]             => 0
[[[[],[]]],[],[],[]]             => 1
[[[[[]]]],[],[],[]]              => 1
[[[],[],[]],[],[[]]]             => 0
[[[],[[]]],[],[[]]]              => 0
[[[[]],[]],[],[[]]]              => 0
[[[[],[]]],[],[[]]]              => 1
[[[[[]]]],[],[[]]]               => 1
[[[],[],[]],[[]],[]]             => 0
[[[],[[]]],[[]],[]]              => 0
[[[[]],[]],[[]],[]]              => 0
[[[[],[]]],[[]],[]]              => 1
[[[[[]]]],[[]],[]]               => 1
[[[],[],[]],[[],[]]]             => 1
[[[],[],[]],[[[]]]]              => 2
[[[],[[]]],[[],[]]]              => 1
[[[],[[]]],[[[]]]]               => 2
[[[[]],[]],[[],[]]]              => 1
[[[[]],[]],[[[]]]]               => 2
[[[[],[]]],[[],[]]]              => 2
[[[[],[]]],[[[]]]]               => 2
[[[[[]]]],[[],[]]]               => 2
[[[[[]]]],[[[]]]]                => 2
[[[],[],[],[]],[],[]]            => 0
[[[],[],[[]]],[],[]]             => 0
[[[],[[]],[]],[],[]]             => 0
[[[],[[],[]]],[],[]]             => 0
[[[],[[[]]]],[],[]]              => 1
[[[[]],[],[]],[],[]]             => 0
[[[[]],[[]]],[],[]]              => 1
[[[[],[]],[]],[],[]]             => 0
[[[[[]]],[]],[],[]]              => 1
[[[[],[],[]]],[],[]]             => 1
[[[[],[[]]]],[],[]]              => 1
[[[[[]],[]]],[],[]]              => 1
[[[[[],[]]]],[],[]]              => 1
[[[[[[]]]]],[],[]]               => 1
[[[],[],[],[]],[[]]]             => 1
[[[],[],[[]]],[[]]]              => 1
[[[],[[]],[]],[[]]]              => 1
[[[],[[],[]]],[[]]]              => 1
[[[],[[[]]]],[[]]]               => 2
[[[[]],[],[]],[[]]]              => 1
[[[[]],[[]]],[[]]]               => 2
[[[[],[]],[]],[[]]]              => 1
[[[[[]]],[]],[[]]]               => 2
[[[[],[],[]]],[[]]]              => 2
[[[[],[[]]]],[[]]]               => 2
[[[[[]],[]]],[[]]]               => 2
[[[[[],[]]]],[[]]]               => 2
[[[[[[]]]]],[[]]]                => 2
[[[],[],[],[],[]],[]]            => 0
[[[],[],[],[[]]],[]]             => 0
[[[],[],[[]],[]],[]]             => 0
[[[],[],[[],[]]],[]]             => 0
[[[],[],[[[]]]],[]]              => 1
[[[],[[]],[],[]],[]]             => 0
[[[],[[]],[[]]],[]]              => 0
[[[],[[],[]],[]],[]]             => 0
[[[],[[[]]],[]],[]]              => 1
[[[],[[],[],[]]],[]]             => 0
[[[],[[],[[]]]],[]]              => 0
[[[],[[[]],[]]],[]]              => 0
[[[],[[[],[]]]],[]]              => 1
[[[],[[[[]]]]],[]]               => 1
[[[[]],[],[],[]],[]]             => 0
[[[[]],[],[[]]],[]]              => 0
[[[[]],[[]],[]],[]]              => 0
[[[[]],[[],[]]],[]]              => 1
[[[[]],[[[]]]],[]]               => 2
[[[[],[]],[],[]],[]]             => 0
[[[[[]]],[],[]],[]]              => 1
[[[[],[]],[[]]],[]]              => 1
[[[[[]]],[[]]],[]]               => 2
[[[[],[],[]],[]],[]]             => 0
[[[[],[[]]],[]],[]]              => 0
[[[[[]],[]],[]],[]]              => 0
[[[[[],[]]],[]],[]]              => 1
[[[[[[]]]],[]],[]]               => 1
[[[[],[],[],[]]],[]]             => 1
[[[[],[],[[]]]],[]]              => 1
[[[[],[[]],[]]],[]]              => 1
[[[[],[[],[]]]],[]]              => 1
[[[[],[[[]]]]],[]]               => 2
[[[[[]],[],[]]],[]]              => 1
[[[[[]],[[]]]],[]]               => 1
[[[[[],[]],[]]],[]]              => 1
[[[[[[]]],[]]],[]]               => 2
[[[[[],[],[]]]],[]]              => 1
[[[[[],[[]]]]],[]]               => 1
[[[[[[]],[]]]],[]]               => 1
[[[[[[],[]]]]],[]]               => 1
[[[[[[[]]]]]],[]]                => 1
[[[],[],[],[],[],[]]]            => 1
[[[],[],[],[],[[]]]]             => 1
[[[],[],[],[[]],[]]]             => 1
[[[],[],[],[[],[]]]]             => 1
[[[],[],[],[[[]]]]]              => 2
[[[],[],[[]],[],[]]]             => 1
[[[],[],[[]],[[]]]]              => 1
[[[],[],[[],[]],[]]]             => 1
[[[],[],[[[]]],[]]]              => 2
[[[],[],[[],[],[]]]]             => 1
[[[],[],[[],[[]]]]]              => 1
[[[],[],[[[]],[]]]]              => 1
[[[],[],[[[],[]]]]]              => 2
[[[],[],[[[[]]]]]]               => 2
[[[],[[]],[],[],[]]]             => 1
[[[],[[]],[],[[]]]]              => 1
[[[],[[]],[[]],[]]]              => 1
[[[],[[]],[[],[]]]]              => 1
[[[],[[]],[[[]]]]]               => 2
[[[],[[],[]],[],[]]]             => 1
[[[],[[[]]],[],[]]]              => 2
[[[],[[],[]],[[]]]]              => 1
[[[],[[[]]],[[]]]]               => 2
[[[],[[],[],[]],[]]]             => 1
[[[],[[],[[]]],[]]]              => 1
[[[],[[[]],[]],[]]]              => 1
[[[],[[[],[]]],[]]]              => 2
[[[],[[[[]]]],[]]]               => 2
[[[],[[],[],[],[]]]]             => 1
[[[],[[],[],[[]]]]]              => 1
[[[],[[],[[]],[]]]]              => 1
[[[],[[],[[],[]]]]]              => 1
[[[],[[],[[[]]]]]]               => 2
[[[],[[[]],[],[]]]]              => 1
[[[],[[[]],[[]]]]]               => 2
[[[],[[[],[]],[]]]]              => 1
[[[],[[[[]]],[]]]]               => 2
[[[],[[[],[],[]]]]]              => 2
[[[],[[[],[[]]]]]]               => 2
[[[],[[[[]],[]]]]]               => 2
[[[],[[[[],[]]]]]]               => 2
[[[],[[[[[]]]]]]]                => 2
[[[[]],[],[],[],[]]]             => 1
[[[[]],[],[],[[]]]]              => 1
[[[[]],[],[[]],[]]]              => 1
[[[[]],[],[[],[]]]]              => 1
[[[[]],[],[[[]]]]]               => 2
[[[[]],[[]],[],[]]]              => 1
[[[[]],[[]],[[]]]]               => 1
[[[[]],[[],[]],[]]]              => 1
[[[[]],[[[]]],[]]]               => 2
[[[[]],[[],[],[]]]]              => 1
[[[[]],[[],[[]]]]]               => 1
[[[[]],[[[]],[]]]]               => 1
[[[[]],[[[],[]]]]]               => 2
[[[[]],[[[[]]]]]]                => 2
[[[[],[]],[],[],[]]]             => 1
[[[[[]]],[],[],[]]]              => 2
[[[[],[]],[],[[]]]]              => 1
[[[[[]]],[],[[]]]]               => 2
[[[[],[]],[[]],[]]]              => 1
[[[[[]]],[[]],[]]]               => 2
[[[[],[]],[[],[]]]]              => 1
[[[[],[]],[[[]]]]]               => 2
[[[[[]]],[[],[]]]]               => 2
[[[[[]]],[[[]]]]]                => 2
[[[[],[],[]],[],[]]]             => 1
[[[[],[[]]],[],[]]]              => 1
[[[[[]],[]],[],[]]]              => 1
[[[[[],[]]],[],[]]]              => 2
[[[[[[]]]],[],[]]]               => 2
[[[[],[],[]],[[]]]]              => 1
[[[[],[[]]],[[]]]]               => 1
[[[[[]],[]],[[]]]]               => 1
[[[[[],[]]],[[]]]]               => 2
[[[[[[]]]],[[]]]]                => 2
[[[[],[],[],[]],[]]]             => 1
[[[[],[],[[]]],[]]]              => 1
[[[[],[[]],[]],[]]]              => 1
[[[[],[[],[]]],[]]]              => 1
[[[[],[[[]]]],[]]]               => 2
[[[[[]],[],[]],[]]]              => 1
[[[[[]],[[]]],[]]]               => 2
[[[[[],[]],[]],[]]]              => 1
[[[[[[]]],[]],[]]]               => 2
[[[[[],[],[]]],[]]]              => 2
[[[[[],[[]]]],[]]]               => 2
[[[[[[]],[]]],[]]]               => 2
[[[[[[],[]]]],[]]]               => 2
[[[[[[[]]]]],[]]]                => 2
[[[[],[],[],[],[]]]]             => 1
[[[[],[],[],[[]]]]]              => 1
[[[[],[],[[]],[]]]]              => 1
[[[[],[],[[],[]]]]]              => 1
[[[[],[],[[[]]]]]]               => 2
[[[[],[[]],[],[]]]]              => 1
[[[[],[[]],[[]]]]]               => 1
[[[[],[[],[]],[]]]]              => 1
[[[[],[[[]]],[]]]]               => 2
[[[[],[[],[],[]]]]]              => 1
[[[[],[[],[[]]]]]]               => 1
[[[[],[[[]],[]]]]]               => 1
[[[[],[[[],[]]]]]]               => 2
[[[[],[[[[]]]]]]]                => 2
[[[[[]],[],[],[]]]]              => 1
[[[[[]],[],[[]]]]]               => 1
[[[[[]],[[]],[]]]]               => 1
[[[[[]],[[],[]]]]]               => 1
[[[[[]],[[[]]]]]]                => 2
[[[[[],[]],[],[]]]]              => 1
[[[[[[]]],[],[]]]]               => 2
[[[[[],[]],[[]]]]]               => 1
[[[[[[]]],[[]]]]]                => 2
[[[[[],[],[]],[]]]]              => 1
[[[[[],[[]]],[]]]]               => 1
[[[[[[]],[]],[]]]]               => 1
[[[[[[],[]]],[]]]]               => 2
[[[[[[[]]]],[]]]]                => 2
[[[[[],[],[],[]]]]]              => 1
[[[[[],[],[[]]]]]]               => 1
[[[[[],[[]],[]]]]]               => 1
[[[[[],[[],[]]]]]]               => 1
[[[[[],[[[]]]]]]]                => 2
[[[[[[]],[],[]]]]]               => 1
[[[[[[]],[[]]]]]]                => 1
[[[[[[],[]],[]]]]]               => 1
[[[[[[[]]],[]]]]]                => 2
[[[[[[],[],[]]]]]]               => 1
[[[[[[],[[]]]]]]]                => 1
[[[[[[[]],[]]]]]]                => 1
[[[[[[[],[]]]]]]]                => 1
[[[[[[[[]]]]]]]]                 => 1
[[],[],[],[],[],[],[],[]]        => 0
[[],[],[],[],[],[],[[]]]         => 0
[[],[],[],[],[],[[]],[]]         => 0
[[],[],[],[],[],[[],[]]]         => 0
[[],[],[],[],[],[[[]]]]          => 1
[[],[],[],[],[[]],[],[]]         => 0
[[],[],[],[],[[]],[[]]]          => 0
[[],[],[],[],[[],[]],[]]         => 0
[[],[],[],[],[[[]]],[]]          => 1
[[],[],[],[],[[],[],[]]]         => 0
[[],[],[],[],[[],[[]]]]          => 0
[[],[],[],[],[[[]],[]]]          => 0
[[],[],[],[],[[[],[]]]]          => 1
[[],[],[],[],[[[[]]]]]           => 1
[[],[],[],[[]],[],[],[]]         => 0
[[],[],[],[[]],[],[[]]]          => 0
[[],[],[],[[]],[[]],[]]          => 0
[[],[],[],[[]],[[],[]]]          => 0
[[],[],[],[[]],[[[]]]]           => 1
[[],[],[],[[],[]],[],[]]         => 0
[[],[],[],[[[]]],[],[]]          => 1
[[],[],[],[[],[]],[[]]]          => 0
[[],[],[],[[[]]],[[]]]           => 1
[[],[],[],[[],[],[]],[]]         => 0
[[],[],[],[[],[[]]],[]]          => 0
[[],[],[],[[[]],[]],[]]          => 0
[[],[],[],[[[],[]]],[]]          => 1
[[],[],[],[[[[]]]],[]]           => 1
[[],[],[],[[],[],[],[]]]         => 0
[[],[],[],[[],[],[[]]]]          => 0
[[],[],[],[[],[[]],[]]]          => 0
[[],[],[],[[],[[],[]]]]          => 0
[[],[],[],[[],[[[]]]]]           => 1
[[],[],[],[[[]],[],[]]]          => 0
[[],[],[],[[[]],[[]]]]           => 1
[[],[],[],[[[],[]],[]]]          => 0
[[],[],[],[[[[]]],[]]]           => 1
[[],[],[],[[[],[],[]]]]          => 1
[[],[],[],[[[],[[]]]]]           => 1
[[],[],[],[[[[]],[]]]]           => 1
[[],[],[],[[[[],[]]]]]           => 1
[[],[],[],[[[[[]]]]]]            => 1
[[],[],[[]],[],[],[],[]]         => 0
[[],[],[[]],[],[],[[]]]          => 0
[[],[],[[]],[],[[]],[]]          => 0
[[],[],[[]],[],[[],[]]]          => 0
[[],[],[[]],[],[[[]]]]           => 1
[[],[],[[]],[[]],[],[]]          => 0
[[],[],[[]],[[]],[[]]]           => 0
[[],[],[[]],[[],[]],[]]          => 0
[[],[],[[]],[[[]]],[]]           => 1
[[],[],[[]],[[],[],[]]]          => 0
[[],[],[[]],[[],[[]]]]           => 0
[[],[],[[]],[[[]],[]]]           => 0
[[],[],[[]],[[[],[]]]]           => 1
[[],[],[[]],[[[[]]]]]            => 1
[[],[],[[],[]],[],[],[]]         => 0
[[],[],[[[]]],[],[],[]]          => 1
[[],[],[[],[]],[],[[]]]          => 0
[[],[],[[[]]],[],[[]]]           => 1
[[],[],[[],[]],[[]],[]]          => 0
[[],[],[[[]]],[[]],[]]           => 1
[[],[],[[],[]],[[],[]]]          => 0
[[],[],[[],[]],[[[]]]]           => 1
[[],[],[[[]]],[[],[]]]           => 1
[[],[],[[[]]],[[[]]]]            => 2
[[],[],[[],[],[]],[],[]]         => 0
[[],[],[[],[[]]],[],[]]          => 0
[[],[],[[[]],[]],[],[]]          => 0
[[],[],[[[],[]]],[],[]]          => 1
[[],[],[[[[]]]],[],[]]           => 1
[[],[],[[],[],[]],[[]]]          => 0
[[],[],[[],[[]]],[[]]]           => 0
[[],[],[[[]],[]],[[]]]           => 0
[[],[],[[[],[]]],[[]]]           => 1
[[],[],[[[[]]]],[[]]]            => 1
[[],[],[[],[],[],[]],[]]         => 0
[[],[],[[],[],[[]]],[]]          => 0
[[],[],[[],[[]],[]],[]]          => 0
[[],[],[[],[[],[]]],[]]          => 0
[[],[],[[],[[[]]]],[]]           => 1
[[],[],[[[]],[],[]],[]]          => 0
[[],[],[[[]],[[]]],[]]           => 1
[[],[],[[[],[]],[]],[]]          => 0
[[],[],[[[[]]],[]],[]]           => 1
[[],[],[[[],[],[]]],[]]          => 1
[[],[],[[[],[[]]]],[]]           => 1
[[],[],[[[[]],[]]],[]]           => 1
[[],[],[[[[],[]]]],[]]           => 1
[[],[],[[[[[]]]]],[]]            => 1
[[],[],[[],[],[],[],[]]]         => 0
[[],[],[[],[],[],[[]]]]          => 0
[[],[],[[],[],[[]],[]]]          => 0
[[],[],[[],[],[[],[]]]]          => 0
[[],[],[[],[],[[[]]]]]           => 1
[[],[],[[],[[]],[],[]]]          => 0
[[],[],[[],[[]],[[]]]]           => 0
[[],[],[[],[[],[]],[]]]          => 0
[[],[],[[],[[[]]],[]]]           => 1
[[],[],[[],[[],[],[]]]]          => 0
[[],[],[[],[[],[[]]]]]           => 0
[[],[],[[],[[[]],[]]]]           => 0
[[],[],[[],[[[],[]]]]]           => 1
[[],[],[[],[[[[]]]]]]            => 1
[[],[],[[[]],[],[],[]]]          => 0
[[],[],[[[]],[],[[]]]]           => 0
[[],[],[[[]],[[]],[]]]           => 0
[[],[],[[[]],[[],[]]]]           => 1
[[],[],[[[]],[[[]]]]]            => 2
[[],[],[[[],[]],[],[]]]          => 0
[[],[],[[[[]]],[],[]]]           => 1
[[],[],[[[],[]],[[]]]]           => 1
[[],[],[[[[]]],[[]]]]            => 2
[[],[],[[[],[],[]],[]]]          => 0
[[],[],[[[],[[]]],[]]]           => 0
[[],[],[[[[]],[]],[]]]           => 0
[[],[],[[[[],[]]],[]]]           => 1
[[],[],[[[[[]]]],[]]]            => 1
[[],[],[[[],[],[],[]]]]          => 1
[[],[],[[[],[],[[]]]]]           => 1
[[],[],[[[],[[]],[]]]]           => 1
[[],[],[[[],[[],[]]]]]           => 1
[[],[],[[[],[[[]]]]]]            => 2
[[],[],[[[[]],[],[]]]]           => 1
[[],[],[[[[]],[[]]]]]            => 1
[[],[],[[[[],[]],[]]]]           => 1
[[],[],[[[[[]]],[]]]]            => 2
[[],[],[[[[],[],[]]]]]           => 1
[[],[],[[[[],[[]]]]]]            => 1
[[],[],[[[[[]],[]]]]]            => 1
[[],[],[[[[[],[]]]]]]            => 1
[[],[],[[[[[[]]]]]]]             => 1
[[],[[]],[],[],[],[],[]]         => 0
[[],[[]],[],[],[],[[]]]          => 0
[[],[[]],[],[],[[]],[]]          => 0
[[],[[]],[],[],[[],[]]]          => 0
[[],[[]],[],[],[[[]]]]           => 1
[[],[[]],[],[[]],[],[]]          => 0
[[],[[]],[],[[]],[[]]]           => 0
[[],[[]],[],[[],[]],[]]          => 0
[[],[[]],[],[[[]]],[]]           => 1
[[],[[]],[],[[],[],[]]]          => 0
[[],[[]],[],[[],[[]]]]           => 0
[[],[[]],[],[[[]],[]]]           => 0
[[],[[]],[],[[[],[]]]]           => 1
[[],[[]],[],[[[[]]]]]            => 1
[[],[[]],[[]],[],[],[]]          => 0
[[],[[]],[[]],[],[[]]]           => 0
[[],[[]],[[]],[[]],[]]           => 0
[[],[[]],[[]],[[],[]]]           => 0
[[],[[]],[[]],[[[]]]]            => 1
[[],[[]],[[],[]],[],[]]          => 0
[[],[[]],[[[]]],[],[]]           => 1
[[],[[]],[[],[]],[[]]]           => 0
[[],[[]],[[[]]],[[]]]            => 1
[[],[[]],[[],[],[]],[]]          => 0
[[],[[]],[[],[[]]],[]]           => 0
[[],[[]],[[[]],[]],[]]           => 0
[[],[[]],[[[],[]]],[]]           => 1
[[],[[]],[[[[]]]],[]]            => 1
[[],[[]],[[],[],[],[]]]          => 0
[[],[[]],[[],[],[[]]]]           => 0
[[],[[]],[[],[[]],[]]]           => 0
[[],[[]],[[],[[],[]]]]           => 0
[[],[[]],[[],[[[]]]]]            => 1
[[],[[]],[[[]],[],[]]]           => 0
[[],[[]],[[[]],[[]]]]            => 1
[[],[[]],[[[],[]],[]]]           => 0
[[],[[]],[[[[]]],[]]]            => 1
[[],[[]],[[[],[],[]]]]           => 1
[[],[[]],[[[],[[]]]]]            => 1
[[],[[]],[[[[]],[]]]]            => 1
[[],[[]],[[[[],[]]]]]            => 1
[[],[[]],[[[[[]]]]]]             => 1
[[],[[],[]],[],[],[],[]]         => 0
[[],[[[]]],[],[],[],[]]          => 1
[[],[[],[]],[],[],[[]]]          => 0
[[],[[[]]],[],[],[[]]]           => 1
[[],[[],[]],[],[[]],[]]          => 0
[[],[[[]]],[],[[]],[]]           => 1
[[],[[],[]],[],[[],[]]]          => 0
[[],[[],[]],[],[[[]]]]           => 1
[[],[[[]]],[],[[],[]]]           => 1
[[],[[[]]],[],[[[]]]]            => 2
[[],[[],[]],[[]],[],[]]          => 0
[[],[[[]]],[[]],[],[]]           => 1
[[],[[],[]],[[]],[[]]]           => 0
[[],[[[]]],[[]],[[]]]            => 1
[[],[[],[]],[[],[]],[]]          => 0
[[],[[],[]],[[[]]],[]]           => 1
[[],[[[]]],[[],[]],[]]           => 1
[[],[[[]]],[[[]]],[]]            => 2
[[],[[],[]],[[],[],[]]]          => 0
[[],[[],[]],[[],[[]]]]           => 0
[[],[[],[]],[[[]],[]]]           => 0
[[],[[],[]],[[[],[]]]]           => 1
[[],[[],[]],[[[[]]]]]            => 1
[[],[[[]]],[[],[],[]]]           => 1
[[],[[[]]],[[],[[]]]]            => 1
[[],[[[]]],[[[]],[]]]            => 1
[[],[[[]]],[[[],[]]]]            => 2
[[],[[[]]],[[[[]]]]]             => 2
[[],[[],[],[]],[],[],[]]         => 0
[[],[[],[[]]],[],[],[]]          => 0
[[],[[[]],[]],[],[],[]]          => 0
[[],[[[],[]]],[],[],[]]          => 1
[[],[[[[]]]],[],[],[]]           => 1
[[],[[],[],[]],[],[[]]]          => 0
[[],[[],[[]]],[],[[]]]           => 0
[[],[[[]],[]],[],[[]]]           => 0
[[],[[[],[]]],[],[[]]]           => 1
[[],[[[[]]]],[],[[]]]            => 1
[[],[[],[],[]],[[]],[]]          => 0
[[],[[],[[]]],[[]],[]]           => 0
[[],[[[]],[]],[[]],[]]           => 0
[[],[[[],[]]],[[]],[]]           => 1
[[],[[[[]]]],[[]],[]]            => 1
[[],[[],[],[]],[[],[]]]          => 0
[[],[[],[],[]],[[[]]]]           => 1
[[],[[],[[]]],[[],[]]]           => 0
[[],[[],[[]]],[[[]]]]            => 1
[[],[[[]],[]],[[],[]]]           => 0
[[],[[[]],[]],[[[]]]]            => 1
[[],[[[],[]]],[[],[]]]           => 1
[[],[[[],[]]],[[[]]]]            => 2
[[],[[[[]]]],[[],[]]]            => 1
[[],[[[[]]]],[[[]]]]             => 2
[[],[[],[],[],[]],[],[]]         => 0
[[],[[],[],[[]]],[],[]]          => 0
[[],[[],[[]],[]],[],[]]          => 0
[[],[[],[[],[]]],[],[]]          => 0
[[],[[],[[[]]]],[],[]]           => 1
[[],[[[]],[],[]],[],[]]          => 0
[[],[[[]],[[]]],[],[]]           => 1
[[],[[[],[]],[]],[],[]]          => 0
[[],[[[[]]],[]],[],[]]           => 1
[[],[[[],[],[]]],[],[]]          => 1
[[],[[[],[[]]]],[],[]]           => 1
[[],[[[[]],[]]],[],[]]           => 1
[[],[[[[],[]]]],[],[]]           => 1
[[],[[[[[]]]]],[],[]]            => 1
[[],[[],[],[],[]],[[]]]          => 0
[[],[[],[],[[]]],[[]]]           => 0
[[],[[],[[]],[]],[[]]]           => 0
[[],[[],[[],[]]],[[]]]           => 0
[[],[[],[[[]]]],[[]]]            => 1
[[],[[[]],[],[]],[[]]]           => 0
[[],[[[]],[[]]],[[]]]            => 1
[[],[[[],[]],[]],[[]]]           => 0
[[],[[[[]]],[]],[[]]]            => 1
[[],[[[],[],[]]],[[]]]           => 1
[[],[[[],[[]]]],[[]]]            => 1
[[],[[[[]],[]]],[[]]]            => 1
[[],[[[[],[]]]],[[]]]            => 1
[[],[[[[[]]]]],[[]]]             => 1
[[],[[],[],[],[],[]],[]]         => 0
[[],[[],[],[],[[]]],[]]          => 0
[[],[[],[],[[]],[]],[]]          => 0
[[],[[],[],[[],[]]],[]]          => 0
[[],[[],[],[[[]]]],[]]           => 1
[[],[[],[[]],[],[]],[]]          => 0
[[],[[],[[]],[[]]],[]]           => 0
[[],[[],[[],[]],[]],[]]          => 0
[[],[[],[[[]]],[]],[]]           => 1
[[],[[],[[],[],[]]],[]]          => 0
[[],[[],[[],[[]]]],[]]           => 0
[[],[[],[[[]],[]]],[]]           => 0
[[],[[],[[[],[]]]],[]]           => 1
[[],[[],[[[[]]]]],[]]            => 1
[[],[[[]],[],[],[]],[]]          => 0
[[],[[[]],[],[[]]],[]]           => 0
[[],[[[]],[[]],[]],[]]           => 0
[[],[[[]],[[],[]]],[]]           => 1
[[],[[[]],[[[]]]],[]]            => 2
[[],[[[],[]],[],[]],[]]          => 0
[[],[[[[]]],[],[]],[]]           => 1
[[],[[[],[]],[[]]],[]]           => 1
[[],[[[[]]],[[]]],[]]            => 2
[[],[[[],[],[]],[]],[]]          => 0
[[],[[[],[[]]],[]],[]]           => 0
[[],[[[[]],[]],[]],[]]           => 0
[[],[[[[],[]]],[]],[]]           => 1
[[],[[[[[]]]],[]],[]]            => 1
[[],[[[],[],[],[]]],[]]          => 1
[[],[[[],[],[[]]]],[]]           => 1
[[],[[[],[[]],[]]],[]]           => 1
[[],[[[],[[],[]]]],[]]           => 1
[[],[[[],[[[]]]]],[]]            => 2
[[],[[[[]],[],[]]],[]]           => 1
[[],[[[[]],[[]]]],[]]            => 1
[[],[[[[],[]],[]]],[]]           => 1
[[],[[[[[]]],[]]],[]]            => 2
[[],[[[[],[],[]]]],[]]           => 1
[[],[[[[],[[]]]]],[]]            => 1
[[],[[[[[]],[]]]],[]]            => 1
[[],[[[[[],[]]]]],[]]            => 1
[[],[[[[[[]]]]]],[]]             => 1
[[],[[],[],[],[],[],[]]]         => 0
[[],[[],[],[],[],[[]]]]          => 0
[[],[[],[],[],[[]],[]]]          => 0
[[],[[],[],[],[[],[]]]]          => 0
[[],[[],[],[],[[[]]]]]           => 1
[[],[[],[],[[]],[],[]]]          => 0
[[],[[],[],[[]],[[]]]]           => 0
[[],[[],[],[[],[]],[]]]          => 0
[[],[[],[],[[[]]],[]]]           => 1
[[],[[],[],[[],[],[]]]]          => 0
[[],[[],[],[[],[[]]]]]           => 0
[[],[[],[],[[[]],[]]]]           => 0
[[],[[],[],[[[],[]]]]]           => 1
[[],[[],[],[[[[]]]]]]            => 1
[[],[[],[[]],[],[],[]]]          => 0
[[],[[],[[]],[],[[]]]]           => 0
[[],[[],[[]],[[]],[]]]           => 0
[[],[[],[[]],[[],[]]]]           => 0
[[],[[],[[]],[[[]]]]]            => 1
[[],[[],[[],[]],[],[]]]          => 0
[[],[[],[[[]]],[],[]]]           => 1
[[],[[],[[],[]],[[]]]]           => 0
[[],[[],[[[]]],[[]]]]            => 1
[[],[[],[[],[],[]],[]]]          => 0
[[],[[],[[],[[]]],[]]]           => 0
[[],[[],[[[]],[]],[]]]           => 0
[[],[[],[[[],[]]],[]]]           => 1
[[],[[],[[[[]]]],[]]]            => 1
[[],[[],[[],[],[],[]]]]          => 0
[[],[[],[[],[],[[]]]]]           => 0
[[],[[],[[],[[]],[]]]]           => 0
[[],[[],[[],[[],[]]]]]           => 0
[[],[[],[[],[[[]]]]]]            => 1
[[],[[],[[[]],[],[]]]]           => 0
[[],[[],[[[]],[[]]]]]            => 1
[[],[[],[[[],[]],[]]]]           => 0
[[],[[],[[[[]]],[]]]]            => 1
[[],[[],[[[],[],[]]]]]           => 1
[[],[[],[[[],[[]]]]]]            => 1
[[],[[],[[[[]],[]]]]]            => 1
[[],[[],[[[[],[]]]]]]            => 1
[[],[[],[[[[[]]]]]]]             => 1
[[],[[[]],[],[],[],[]]]          => 0
[[],[[[]],[],[],[[]]]]           => 0
[[],[[[]],[],[[]],[]]]           => 0
[[],[[[]],[],[[],[]]]]           => 0
[[],[[[]],[],[[[]]]]]            => 1
[[],[[[]],[[]],[],[]]]           => 0
[[],[[[]],[[]],[[]]]]            => 1
[[],[[[]],[[],[]],[]]]           => 0
[[],[[[]],[[[]]],[]]]            => 1
[[],[[[]],[[],[],[]]]]           => 1
[[],[[[]],[[],[[]]]]]            => 1
[[],[[[]],[[[]],[]]]]            => 1
[[],[[[]],[[[],[]]]]]            => 2
[[],[[[]],[[[[]]]]]]             => 2
[[],[[[],[]],[],[],[]]]          => 0
[[],[[[[]]],[],[],[]]]           => 1
[[],[[[],[]],[],[[]]]]           => 0
[[],[[[[]]],[],[[]]]]            => 1
[[],[[[],[]],[[]],[]]]           => 0
[[],[[[[]]],[[]],[]]]            => 1
[[],[[[],[]],[[],[]]]]           => 1
[[],[[[],[]],[[[]]]]]            => 2
[[],[[[[]]],[[],[]]]]            => 2
[[],[[[[]]],[[[]]]]]             => 2
[[],[[[],[],[]],[],[]]]          => 0
[[],[[[],[[]]],[],[]]]           => 0
[[],[[[[]],[]],[],[]]]           => 0
[[],[[[[],[]]],[],[]]]           => 1
[[],[[[[[]]]],[],[]]]            => 1
[[],[[[],[],[]],[[]]]]           => 1
[[],[[[],[[]]],[[]]]]            => 1
[[],[[[[]],[]],[[]]]]            => 1
[[],[[[[],[]]],[[]]]]            => 2
[[],[[[[[]]]],[[]]]]             => 2
[[],[[[],[],[],[]],[]]]          => 0
[[],[[[],[],[[]]],[]]]           => 0
[[],[[[],[[]],[]],[]]]           => 0
[[],[[[],[[],[]]],[]]]           => 0
[[],[[[],[[[]]]],[]]]            => 1
[[],[[[[]],[],[]],[]]]           => 0
[[],[[[[]],[[]]],[]]]            => 1
[[],[[[[],[]],[]],[]]]           => 0
[[],[[[[[]]],[]],[]]]            => 1
[[],[[[[],[],[]]],[]]]           => 1
[[],[[[[],[[]]]],[]]]            => 1
[[],[[[[[]],[]]],[]]]            => 1
[[],[[[[[],[]]]],[]]]            => 1
[[],[[[[[[]]]]],[]]]             => 1
[[],[[[],[],[],[],[]]]]          => 1
[[],[[[],[],[],[[]]]]]           => 1
[[],[[[],[],[[]],[]]]]           => 1
[[],[[[],[],[[],[]]]]]           => 1
[[],[[[],[],[[[]]]]]]            => 2
[[],[[[],[[]],[],[]]]]           => 1
[[],[[[],[[]],[[]]]]]            => 1
[[],[[[],[[],[]],[]]]]           => 1
[[],[[[],[[[]]],[]]]]            => 2
[[],[[[],[[],[],[]]]]]           => 1
[[],[[[],[[],[[]]]]]]            => 1
[[],[[[],[[[]],[]]]]]            => 1
[[],[[[],[[[],[]]]]]]            => 2
[[],[[[],[[[[]]]]]]]             => 2
[[],[[[[]],[],[],[]]]]           => 1
[[],[[[[]],[],[[]]]]]            => 1
[[],[[[[]],[[]],[]]]]            => 1
[[],[[[[]],[[],[]]]]]            => 1
[[],[[[[]],[[[]]]]]]             => 2
[[],[[[[],[]],[],[]]]]           => 1
[[],[[[[[]]],[],[]]]]            => 2
[[],[[[[],[]],[[]]]]]            => 1
[[],[[[[[]]],[[]]]]]             => 2
[[],[[[[],[],[]],[]]]]           => 1
[[],[[[[],[[]]],[]]]]            => 1
[[],[[[[[]],[]],[]]]]            => 1
[[],[[[[[],[]]],[]]]]            => 2
[[],[[[[[[]]]],[]]]]             => 2
[[],[[[[],[],[],[]]]]]           => 1
[[],[[[[],[],[[]]]]]]            => 1
[[],[[[[],[[]],[]]]]]            => 1
[[],[[[[],[[],[]]]]]]            => 1
[[],[[[[],[[[]]]]]]]             => 2
[[],[[[[[]],[],[]]]]]            => 1
[[],[[[[[]],[[]]]]]]             => 1
[[],[[[[[],[]],[]]]]]            => 1
[[],[[[[[[]]],[]]]]]             => 2
[[],[[[[[],[],[]]]]]]            => 1
[[],[[[[[],[[]]]]]]]             => 1
[[],[[[[[[]],[]]]]]]             => 1
[[],[[[[[[],[]]]]]]]             => 1
[[],[[[[[[[]]]]]]]]              => 1
[[[]],[],[],[],[],[],[]]         => 0
[[[]],[],[],[],[],[[]]]          => 0
[[[]],[],[],[],[[]],[]]          => 0
[[[]],[],[],[],[[],[]]]          => 0
[[[]],[],[],[],[[[]]]]           => 1
[[[]],[],[],[[]],[],[]]          => 0
[[[]],[],[],[[]],[[]]]           => 0
[[[]],[],[],[[],[]],[]]          => 0
[[[]],[],[],[[[]]],[]]           => 1
[[[]],[],[],[[],[],[]]]          => 0
[[[]],[],[],[[],[[]]]]           => 0
[[[]],[],[],[[[]],[]]]           => 0
[[[]],[],[],[[[],[]]]]           => 1
[[[]],[],[],[[[[]]]]]            => 1
[[[]],[],[[]],[],[],[]]          => 0
[[[]],[],[[]],[],[[]]]           => 0
[[[]],[],[[]],[[]],[]]           => 0
[[[]],[],[[]],[[],[]]]           => 0
[[[]],[],[[]],[[[]]]]            => 1
[[[]],[],[[],[]],[],[]]          => 0
[[[]],[],[[[]]],[],[]]           => 1
[[[]],[],[[],[]],[[]]]           => 0
[[[]],[],[[[]]],[[]]]            => 1
[[[]],[],[[],[],[]],[]]          => 0
[[[]],[],[[],[[]]],[]]           => 0
[[[]],[],[[[]],[]],[]]           => 0
[[[]],[],[[[],[]]],[]]           => 1
[[[]],[],[[[[]]]],[]]            => 1
[[[]],[],[[],[],[],[]]]          => 0
[[[]],[],[[],[],[[]]]]           => 0
[[[]],[],[[],[[]],[]]]           => 0
[[[]],[],[[],[[],[]]]]           => 0
[[[]],[],[[],[[[]]]]]            => 1
[[[]],[],[[[]],[],[]]]           => 0
[[[]],[],[[[]],[[]]]]            => 1
[[[]],[],[[[],[]],[]]]           => 0
[[[]],[],[[[[]]],[]]]            => 1
[[[]],[],[[[],[],[]]]]           => 1
[[[]],[],[[[],[[]]]]]            => 1
[[[]],[],[[[[]],[]]]]            => 1
[[[]],[],[[[[],[]]]]]            => 1
[[[]],[],[[[[[]]]]]]             => 1
[[[]],[[]],[],[],[],[]]          => 0
[[[]],[[]],[],[],[[]]]           => 0
[[[]],[[]],[],[[]],[]]           => 0
[[[]],[[]],[],[[],[]]]           => 0
[[[]],[[]],[],[[[]]]]            => 1
[[[]],[[]],[[]],[],[]]           => 0
[[[]],[[]],[[]],[[]]]            => 1
[[[]],[[]],[[],[]],[]]           => 0
[[[]],[[]],[[[]]],[]]            => 1
[[[]],[[]],[[],[],[]]]           => 1
[[[]],[[]],[[],[[]]]]            => 1
[[[]],[[]],[[[]],[]]]            => 1
[[[]],[[]],[[[],[]]]]            => 2
[[[]],[[]],[[[[]]]]]             => 2
[[[]],[[],[]],[],[],[]]          => 0
[[[]],[[[]]],[],[],[]]           => 1
[[[]],[[],[]],[],[[]]]           => 0
[[[]],[[[]]],[],[[]]]            => 1
[[[]],[[],[]],[[]],[]]           => 0
[[[]],[[[]]],[[]],[]]            => 1
[[[]],[[],[]],[[],[]]]           => 1
[[[]],[[],[]],[[[]]]]            => 2
[[[]],[[[]]],[[],[]]]            => 2
[[[]],[[[]]],[[[]]]]             => 3
[[[]],[[],[],[]],[],[]]          => 0
[[[]],[[],[[]]],[],[]]           => 0
[[[]],[[[]],[]],[],[]]           => 0
[[[]],[[[],[]]],[],[]]           => 1
[[[]],[[[[]]]],[],[]]            => 1
[[[]],[[],[],[]],[[]]]           => 1
[[[]],[[],[[]]],[[]]]            => 1
[[[]],[[[]],[]],[[]]]            => 1
[[[]],[[[],[]]],[[]]]            => 2
[[[]],[[[[]]]],[[]]]             => 2
[[[]],[[],[],[],[]],[]]          => 0
[[[]],[[],[],[[]]],[]]           => 0
[[[]],[[],[[]],[]],[]]           => 0
[[[]],[[],[[],[]]],[]]           => 0
[[[]],[[],[[[]]]],[]]            => 1
[[[]],[[[]],[],[]],[]]           => 0
[[[]],[[[]],[[]]],[]]            => 1
[[[]],[[[],[]],[]],[]]           => 0
[[[]],[[[[]]],[]],[]]            => 1
[[[]],[[[],[],[]]],[]]           => 1
[[[]],[[[],[[]]]],[]]            => 1
[[[]],[[[[]],[]]],[]]            => 1
[[[]],[[[[],[]]]],[]]            => 1
[[[]],[[[[[]]]]],[]]             => 1
[[[]],[[],[],[],[],[]]]          => 1
[[[]],[[],[],[],[[]]]]           => 1
[[[]],[[],[],[[]],[]]]           => 1
[[[]],[[],[],[[],[]]]]           => 1
[[[]],[[],[],[[[]]]]]            => 2
[[[]],[[],[[]],[],[]]]           => 1
[[[]],[[],[[]],[[]]]]            => 1
[[[]],[[],[[],[]],[]]]           => 1
[[[]],[[],[[[]]],[]]]            => 2
[[[]],[[],[[],[],[]]]]           => 1
[[[]],[[],[[],[[]]]]]            => 1
[[[]],[[],[[[]],[]]]]            => 1
[[[]],[[],[[[],[]]]]]            => 2
[[[]],[[],[[[[]]]]]]             => 2
[[[]],[[[]],[],[],[]]]           => 1
[[[]],[[[]],[],[[]]]]            => 1
[[[]],[[[]],[[]],[]]]            => 1
[[[]],[[[]],[[],[]]]]            => 2
[[[]],[[[]],[[[]]]]]             => 3
[[[]],[[[],[]],[],[]]]           => 1
[[[]],[[[[]]],[],[]]]            => 2
[[[]],[[[],[]],[[]]]]            => 2
[[[]],[[[[]]],[[]]]]             => 3
[[[]],[[[],[],[]],[]]]           => 1
[[[]],[[[],[[]]],[]]]            => 1
[[[]],[[[[]],[]],[]]]            => 1
[[[]],[[[[],[]]],[]]]            => 2
[[[]],[[[[[]]]],[]]]             => 2
[[[]],[[[],[],[],[]]]]           => 2
[[[]],[[[],[],[[]]]]]            => 2
[[[]],[[[],[[]],[]]]]            => 2
[[[]],[[[],[[],[]]]]]            => 2
[[[]],[[[],[[[]]]]]]             => 3
[[[]],[[[[]],[],[]]]]            => 2
[[[]],[[[[]],[[]]]]]             => 2
[[[]],[[[[],[]],[]]]]            => 2
[[[]],[[[[[]]],[]]]]             => 3
[[[]],[[[[],[],[]]]]]            => 2
[[[]],[[[[],[[]]]]]]             => 2
[[[]],[[[[[]],[]]]]]             => 2
[[[]],[[[[[],[]]]]]]             => 2
[[[]],[[[[[[]]]]]]]              => 2
[[[],[]],[],[],[],[],[]]         => 0
[[[[]]],[],[],[],[],[]]          => 1
[[[],[]],[],[],[],[[]]]          => 0
[[[[]]],[],[],[],[[]]]           => 1
[[[],[]],[],[],[[]],[]]          => 0
[[[[]]],[],[],[[]],[]]           => 1
[[[],[]],[],[],[[],[]]]          => 0
[[[],[]],[],[],[[[]]]]           => 1
[[[[]]],[],[],[[],[]]]           => 1
[[[[]]],[],[],[[[]]]]            => 2
[[[],[]],[],[[]],[],[]]          => 0
[[[[]]],[],[[]],[],[]]           => 1
[[[],[]],[],[[]],[[]]]           => 0
[[[[]]],[],[[]],[[]]]            => 1
[[[],[]],[[],[[],[]]]]           => 1
[[[],[]],[[[],[]],[]]]           => 1
[[[],[[],[]]],[[],[]]]           => 1
[[[[],[]],[]],[[],[]]]           => 1
[[[],[[],[[],[]]]],[]]           => 0
[[[],[[[],[]],[]]],[]]           => 0
[[[[],[]],[[],[]]],[]]           => 1
[[[[],[[],[]]],[]],[]]           => 0
[[[[[],[]],[]],[]],[]]           => 0
[[[[[],[[[]]]]]],[]]             => 2
[[[[[[[]]],[]]]],[]]             => 2
[[[[[[],[],[]]]]],[]]            => 1
[[[[[[],[[]]]]]],[]]             => 1
[[[[[[[]],[]]]]],[]]             => 1
[[[[[[[],[]]]]]],[]]             => 1
[[[[[[[[]]]]]]],[]]              => 1
[[[[[[[[[]]]]]]]],[]]            => 1
[[],[[[[[[[[]]]]]]]]]            => 1
[[[[[[[[],[]]]]]]],[]]           => 1
[[],[[[[[[[],[]]]]]]]]           => 1
[[[[[[[[]],[]]]]]],[]]           => 1
[[[[[[[],[[]]]]]]],[]]           => 1
[[],[[[[[[[]],[]]]]]]]           => 1
[[],[[[[[[],[[]]]]]]]]           => 1
[[],[[],[[],[[],[[],[]]]]]]      => 0
[[],[[],[[],[[[],[]],[]]]]]      => 0
[[],[[],[[[],[]],[[],[]]]]]      => 1
[[],[[],[[[],[[],[]]],[]]]]      => 0
[[],[[],[[[[],[]],[]],[]]]]      => 0
[[],[[[],[]],[[],[[],[]]]]]      => 1
[[],[[[],[]],[[[],[]],[]]]]      => 1
[[],[[[],[[],[]]],[[],[]]]]      => 1
[[],[[[[],[]],[]],[[],[]]]]      => 1
[[],[[[],[[],[[],[]]]],[]]]      => 0
[[],[[[],[[[],[]],[]]],[]]]      => 0
[[],[[[[],[]],[[],[]]],[]]]      => 1
[[],[[[[],[[],[]]],[]],[]]]      => 0
[[],[[[[[],[]],[]],[]],[]]]      => 0
[[[],[]],[[],[[],[[],[]]]]]      => 1
[[[],[]],[[],[[[],[]],[]]]]      => 1
[[[],[]],[[[],[]],[[],[]]]]      => 2
[[[],[]],[[[],[[],[]]],[]]]      => 1
[[[],[]],[[[[],[]],[]],[]]]      => 1
[[[],[[],[]]],[[],[[],[]]]]      => 1
[[[],[[],[]]],[[[],[]],[]]]      => 1
[[[[],[]],[]],[[],[[],[]]]]      => 1
[[[[],[]],[]],[[[],[]],[]]]      => 1
[[[],[[],[[],[]]]],[[],[]]]      => 1
[[[],[[[],[]],[]]],[[],[]]]      => 1
[[[[],[]],[[],[]]],[[],[]]]      => 2
[[[[],[[],[]]],[]],[[],[]]]      => 1
[[[[[],[]],[]],[]],[[],[]]]      => 1
[[[],[[],[[],[[],[]]]]],[]]      => 0
[[[],[[],[[[],[]],[]]]],[]]      => 0
[[[],[[[],[]],[[],[]]]],[]]      => 1
[[[],[[[],[[],[]]],[]]],[]]      => 0
[[[],[[[[],[]],[]],[]]],[]]      => 0
[[[[],[]],[[],[[],[]]]],[]]      => 1
[[[[],[]],[[[],[]],[]]],[]]      => 1
[[[[],[[],[]]],[[],[]]],[]]      => 1
[[[[[],[]],[]],[[],[]]],[]]      => 1
[[[[],[[],[[],[]]]],[]],[]]      => 0
[[[[],[[[],[]],[]]],[]],[]]      => 0
[[[[[],[]],[[],[]]],[]],[]]      => 1
[[[[[],[[],[]]],[]],[]],[]]      => 0
[[[[[[],[]],[]],[]],[]],[]]      => 0
[[[[[[[[[[]]]]]]]]],[]]          => 1
[[],[[[[[[[[[]]]]]]]]]]          => 1
[[[[[[[[[],[]]]]]]]],[]]         => 1
[[],[[[[[[[[],[]]]]]]]]]         => 1
[[[[[[[[[[[]]]]]]]]]],[]]        => 1
[[],[[[[[[[[[[]]]]]]]]]]]        => 1
[[],[[],[[],[[],[[],[[],[]]]]]]] => 0
[[],[[],[[],[[],[[[],[]],[]]]]]] => 0
[[],[[],[[],[[[],[]],[[],[]]]]]] => 1
[[],[[],[[],[[[],[[],[]]],[]]]]] => 0
[[],[[],[[],[[[[],[]],[]],[]]]]] => 0
[[],[[],[[[],[]],[[],[[],[]]]]]] => 1
[[],[[],[[[],[]],[[[],[]],[]]]]] => 1
[[],[[],[[[],[[],[]]],[[],[]]]]] => 1
[[],[[],[[[[],[]],[]],[[],[]]]]] => 1
[[],[[],[[[],[[],[[],[]]]],[]]]] => 0
[[],[[],[[[],[[[],[]],[]]],[]]]] => 0
[[],[[],[[[[],[]],[[],[]]],[]]]] => 1
[[],[[],[[[[],[[],[]]],[]],[]]]] => 0
[[],[[],[[[[[],[]],[]],[]],[]]]] => 0
[[],[[[],[]],[[],[[],[[],[]]]]]] => 1
[[],[[[],[]],[[],[[[],[]],[]]]]] => 1
[[],[[[],[]],[[[],[]],[[],[]]]]] => 2
[[],[[[],[]],[[[],[[],[]]],[]]]] => 1
[[],[[[],[]],[[[[],[]],[]],[]]]] => 1
[[],[[[],[[],[]]],[[],[[],[]]]]] => 1
[[],[[[],[[],[]]],[[[],[]],[]]]] => 1
[[],[[[[],[]],[]],[[],[[],[]]]]] => 1
[[],[[[[],[]],[]],[[[],[]],[]]]] => 1
[[],[[[],[[],[[],[]]]],[[],[]]]] => 1
[[],[[[],[[[],[]],[]]],[[],[]]]] => 1
[[],[[[[],[]],[[],[]]],[[],[]]]] => 2
[[],[[[[],[[],[]]],[]],[[],[]]]] => 1
[[],[[[[[],[]],[]],[]],[[],[]]]] => 1
[[],[[[],[[],[[],[[],[]]]]],[]]] => 0
[[],[[[],[[],[[[],[]],[]]]],[]]] => 0
[[],[[[],[[[],[]],[[],[]]]],[]]] => 1
[[],[[[],[[[],[[],[]]],[]]],[]]] => 0
[[],[[[],[[[[],[]],[]],[]]],[]]] => 0
[[],[[[[],[]],[[],[[],[]]]],[]]] => 1
[[],[[[[],[]],[[[],[]],[]]],[]]] => 1
[[],[[[[],[[],[]]],[[],[]]],[]]] => 1
[[],[[[[[],[]],[]],[[],[]]],[]]] => 1
[[],[[[[],[[],[[],[]]]],[]],[]]] => 0
[[],[[[[],[[[],[]],[]]],[]],[]]] => 0
[[],[[[[[],[]],[[],[]]],[]],[]]] => 1
[[],[[[[[],[[],[]]],[]],[]],[]]] => 0
[[],[[[[[[],[]],[]],[]],[]],[]]] => 0
[[[],[]],[[],[[],[[],[[],[]]]]]] => 1
[[[],[]],[[],[[],[[[],[]],[]]]]] => 1
[[[],[]],[[],[[[],[]],[[],[]]]]] => 2
[[[],[]],[[],[[[],[[],[]]],[]]]] => 1
[[[],[]],[[],[[[[],[]],[]],[]]]] => 1
[[[],[]],[[[],[]],[[],[[],[]]]]] => 2
[[[],[]],[[[],[]],[[[],[]],[]]]] => 2
[[[],[]],[[[],[[],[]]],[[],[]]]] => 2
[[[],[]],[[[[],[]],[]],[[],[]]]] => 2
[[[],[]],[[[],[[],[[],[]]]],[]]] => 1
[[[],[]],[[[],[[[],[]],[]]],[]]] => 1
[[[],[]],[[[[],[]],[[],[]]],[]]] => 2
[[[],[]],[[[[],[[],[]]],[]],[]]] => 1
[[[],[]],[[[[[],[]],[]],[]],[]]] => 1
[[[],[[],[]]],[[],[[],[[],[]]]]] => 1
[[[],[[],[]]],[[],[[[],[]],[]]]] => 1
[[[],[[],[]]],[[[],[]],[[],[]]]] => 2
[[[],[[],[]]],[[[],[[],[]]],[]]] => 1
[[[],[[],[]]],[[[[],[]],[]],[]]] => 1
[[[[],[]],[]],[[],[[],[[],[]]]]] => 1
[[[[],[]],[]],[[],[[[],[]],[]]]] => 1
[[[[],[]],[]],[[[],[]],[[],[]]]] => 2
[[[[],[]],[]],[[[],[[],[]]],[]]] => 1
[[[[],[]],[]],[[[[],[]],[]],[]]] => 1
[[[],[[],[[],[]]]],[[],[[],[]]]] => 1
[[[],[[],[[],[]]]],[[[],[]],[]]] => 1
[[[],[[[],[]],[]]],[[],[[],[]]]] => 1
[[[],[[[],[]],[]]],[[[],[]],[]]] => 1
[[[[],[]],[[],[]]],[[],[[],[]]]] => 2
[[[[],[]],[[],[]]],[[[],[]],[]]] => 2
[[[[],[[],[]]],[]],[[],[[],[]]]] => 1
[[[[],[[],[]]],[]],[[[],[]],[]]] => 1
[[[[[],[]],[]],[]],[[],[[],[]]]] => 1
[[[[[],[]],[]],[]],[[[],[]],[]]] => 1
[[[],[[],[[],[[],[]]]]],[[],[]]] => 1
[[[],[[],[[[],[]],[]]]],[[],[]]] => 1
[[[],[[[],[]],[[],[]]]],[[],[]]] => 2
[[[],[[[],[[],[]]],[]]],[[],[]]] => 1
[[[],[[[[],[]],[]],[]]],[[],[]]] => 1
[[[[],[]],[[],[[],[]]]],[[],[]]] => 2
[[[[],[]],[[[],[]],[]]],[[],[]]] => 2
[[[[],[[],[]]],[[],[]]],[[],[]]] => 2
[[[[[],[]],[]],[[],[]]],[[],[]]] => 2
[[[[],[[],[[],[]]]],[]],[[],[]]] => 1
[[[[],[[[],[]],[]]],[]],[[],[]]] => 1
[[[[[],[]],[[],[]]],[]],[[],[]]] => 2
[[[[[],[[],[]]],[]],[]],[[],[]]] => 1
[[[[[[],[]],[]],[]],[]],[[],[]]] => 1
[[[],[[],[[],[[],[[],[]]]]]],[]] => 0
[[[],[[],[[],[[[],[]],[]]]]],[]] => 0
[[[],[[],[[[],[]],[[],[]]]]],[]] => 1
[[[],[[],[[[],[[],[]]],[]]]],[]] => 0
[[[],[[],[[[[],[]],[]],[]]]],[]] => 0
[[[],[[[],[]],[[],[[],[]]]]],[]] => 1
[[[],[[[],[]],[[[],[]],[]]]],[]] => 1
[[[],[[[],[[],[]]],[[],[]]]],[]] => 1
[[[],[[[[],[]],[]],[[],[]]]],[]] => 1
[[[],[[[],[[],[[],[]]]],[]]],[]] => 0
[[[],[[[],[[[],[]],[]]],[]]],[]] => 0
[[[],[[[[],[]],[[],[]]],[]]],[]] => 1
[[[],[[[[],[[],[]]],[]],[]]],[]] => 0
[[[],[[[[[],[]],[]],[]],[]]],[]] => 0
[[[[],[]],[[],[[],[[],[]]]]],[]] => 1
[[[[],[]],[[],[[[],[]],[]]]],[]] => 1
[[[[],[]],[[[],[]],[[],[]]]],[]] => 2
[[[[],[]],[[[],[[],[]]],[]]],[]] => 1
[[[[],[]],[[[[],[]],[]],[]]],[]] => 1
[[[[],[[],[]]],[[],[[],[]]]],[]] => 1
[[[[],[[],[]]],[[[],[]],[]]],[]] => 1
[[[[[],[]],[]],[[],[[],[]]]],[]] => 1
[[[[[],[]],[]],[[[],[]],[]]],[]] => 1
[[[[],[[],[[],[]]]],[[],[]]],[]] => 1
[[[[],[[[],[]],[]]],[[],[]]],[]] => 1
[[[[[],[]],[[],[]]],[[],[]]],[]] => 2
[[[[[],[[],[]]],[]],[[],[]]],[]] => 1
[[[[[[],[]],[]],[]],[[],[]]],[]] => 1
[[[[],[[],[[],[[],[]]]]],[]],[]] => 0
[[[[],[[],[[[],[]],[]]]],[]],[]] => 0
[[[[],[[[],[]],[[],[]]]],[]],[]] => 1
[[[[],[[[],[[],[]]],[]]],[]],[]] => 0
[[[[],[[[[],[]],[]],[]]],[]],[]] => 0
[[[[[],[]],[[],[[],[]]]],[]],[]] => 1
[[[[[],[]],[[[],[]],[]]],[]],[]] => 1
[[[[[],[[],[]]],[[],[]]],[]],[]] => 1
[[[[[[],[]],[]],[[],[]]],[]],[]] => 1
[[[[[],[[],[[],[]]]],[]],[]],[]] => 0
[[[[[],[[[],[]],[]]],[]],[]],[]] => 0
[[[[[[],[]],[[],[]]],[]],[]],[]] => 1
[[[[[[],[[],[]]],[]],[]],[]],[]] => 0
[[[[[[[],[]],[]],[]],[]],[]],[]] => 0

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Created: Jun 02, 2016 at 09:40 by Martin Rubey

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Last Updated: Dec 26, 2017 at 10:04 by Martin Rubey