************************************************************************
*    www.FindStat.org - The Combinatorial Statistic Finder             *
*                                                                      *
*    Copyright (C) 2013 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.  *
************************************************************************

------------------------------------------------------------------------
Map identifier: Mp00327

------------------------------------------------------------------------
Map name: inverse Kreweras complement

------------------------------------------------------------------------
Domain: Dyck paths

------------------------------------------------------------------------
Codomain: Dyck paths

------------------------------------------------------------------------
Description: Return the inverse of the Kreweras complement of a Dyck path, regarded as a noncrossing set partition.

To identify Dyck paths and noncrossing set partitions, this maps uses the following classical bijection.  The number of down steps after the $i$-th up step of the Dyck path is the size of the block of the set partition whose maximal element is $i$.  If $i$ is not a maximal element of a block, the $(i+1)$-st step is also an up step.

------------------------------------------------------------------------
References: 

------------------------------------------------------------------------
Code:

def mapping(d):
    r"""
    Compute the Kreweras complement of a Dyck path, regarded as a
    noncrossing partition.
    """
    n = len(d) / 2
    if not n:
        return d
    D = DyckWords(n)
    pi = D(d).to_noncrossing_partition().to_permutation()
    c = Permutation(list(range(2,n+1))+[1])
    p = SetPartition((c*pi.inverse()).to_cycles())
    return D.from_noncrossing_partition(p)


------------------------------------------------------------------------
Map images:

[1,0]                             => [1,0]
[1,0,1,0]                         => [1,1,0,0]
[1,1,0,0]                         => [1,0,1,0]
[1,0,1,0,1,0]                     => [1,1,1,0,0,0]
[1,0,1,1,0,0]                     => [1,1,0,1,0,0]
[1,1,0,0,1,0]                     => [1,0,1,1,0,0]
[1,1,0,1,0,0]                     => [1,1,0,0,1,0]
[1,1,1,0,0,0]                     => [1,0,1,0,1,0]
[1,0,1,0,1,0,1,0]                 => [1,1,1,1,0,0,0,0]
[1,0,1,0,1,1,0,0]                 => [1,1,1,0,1,0,0,0]
[1,0,1,1,0,0,1,0]                 => [1,1,0,1,1,0,0,0]
[1,0,1,1,0,1,0,0]                 => [1,1,1,0,0,1,0,0]
[1,0,1,1,1,0,0,0]                 => [1,1,0,1,0,1,0,0]
[1,1,0,0,1,0,1,0]                 => [1,0,1,1,1,0,0,0]
[1,1,0,0,1,1,0,0]                 => [1,0,1,1,0,1,0,0]
[1,1,0,1,0,0,1,0]                 => [1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,0]                 => [1,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,0]                 => [1,1,0,0,1,0,1,0]
[1,1,1,0,0,0,1,0]                 => [1,0,1,0,1,1,0,0]
[1,1,1,0,0,1,0,0]                 => [1,1,0,1,0,0,1,0]
[1,1,1,0,1,0,0,0]                 => [1,0,1,1,0,0,1,0]
[1,1,1,1,0,0,0,0]                 => [1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0]             => [1,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,0,1,1,0,0]             => [1,1,1,1,0,1,0,0,0,0]
[1,0,1,0,1,1,0,0,1,0]             => [1,1,1,0,1,1,0,0,0,0]
[1,0,1,0,1,1,0,1,0,0]             => [1,1,1,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,0,0]             => [1,1,1,0,1,0,1,0,0,0]
[1,0,1,1,0,0,1,0,1,0]             => [1,1,0,1,1,1,0,0,0,0]
[1,0,1,1,0,0,1,1,0,0]             => [1,1,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,0,0,1,0]             => [1,1,1,0,0,1,1,0,0,0]
[1,0,1,1,0,1,0,1,0,0]             => [1,1,1,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,0]             => [1,1,1,0,0,1,0,1,0,0]
[1,0,1,1,1,0,0,0,1,0]             => [1,1,0,1,0,1,1,0,0,0]
[1,0,1,1,1,0,0,1,0,0]             => [1,1,1,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,0,0,0]             => [1,1,0,1,1,0,0,1,0,0]
[1,0,1,1,1,1,0,0,0,0]             => [1,1,0,1,0,1,0,1,0,0]
[1,1,0,0,1,0,1,0,1,0]             => [1,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,0,1,1,0,0]             => [1,0,1,1,1,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,0]             => [1,0,1,1,0,1,1,0,0,0]
[1,1,0,0,1,1,0,1,0,0]             => [1,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,0,0]             => [1,0,1,1,0,1,0,1,0,0]
[1,1,0,1,0,0,1,0,1,0]             => [1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,0,1,1,0,0]             => [1,1,0,0,1,1,0,1,0,0]
[1,1,0,1,0,1,0,0,1,0]             => [1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,0]             => [1,1,1,1,0,0,0,0,1,0]
[1,1,0,1,0,1,1,0,0,0]             => [1,1,1,0,0,0,1,0,1,0]
[1,1,0,1,1,0,0,0,1,0]             => [1,1,0,0,1,0,1,1,0,0]
[1,1,0,1,1,0,0,1,0,0]             => [1,1,1,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,0,0,0]             => [1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,1,0,0,0,0]             => [1,1,0,0,1,0,1,0,1,0]
[1,1,1,0,0,0,1,0,1,0]             => [1,0,1,0,1,1,1,0,0,0]
[1,1,1,0,0,0,1,1,0,0]             => [1,0,1,0,1,1,0,1,0,0]
[1,1,1,0,0,1,0,0,1,0]             => [1,1,0,1,0,0,1,1,0,0]
[1,1,1,0,0,1,0,1,0,0]             => [1,1,0,1,1,0,0,0,1,0]
[1,1,1,0,0,1,1,0,0,0]             => [1,1,0,1,0,0,1,0,1,0]
[1,1,1,0,1,0,0,0,1,0]             => [1,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,0]             => [1,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,1,0,0,0]             => [1,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,1,0,0,0,0]             => [1,0,1,1,0,0,1,0,1,0]
[1,1,1,1,0,0,0,0,1,0]             => [1,0,1,0,1,0,1,1,0,0]
[1,1,1,1,0,0,0,1,0,0]             => [1,1,0,1,0,1,0,0,1,0]
[1,1,1,1,0,0,1,0,0,0]             => [1,0,1,1,0,1,0,0,1,0]
[1,1,1,1,0,1,0,0,0,0]             => [1,0,1,0,1,1,0,0,1,0]
[1,1,1,1,1,0,0,0,0,0]             => [1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0]         => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,0]         => [1,1,1,1,1,0,1,0,0,0,0,0]
[1,0,1,0,1,0,1,1,0,0,1,0]         => [1,1,1,1,0,1,1,0,0,0,0,0]
[1,0,1,0,1,0,1,1,0,1,0,0]         => [1,1,1,1,1,0,0,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,0,0,0]         => [1,1,1,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,0,0,1,0,1,0]         => [1,1,1,0,1,1,1,0,0,0,0,0]
[1,0,1,0,1,1,0,0,1,1,0,0]         => [1,1,1,0,1,1,0,1,0,0,0,0]
[1,0,1,0,1,1,0,1,0,0,1,0]         => [1,1,1,1,0,0,1,1,0,0,0,0]
[1,0,1,0,1,1,0,1,0,1,0,0]         => [1,1,1,1,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,0,1,1,0,0,0]         => [1,1,1,1,0,0,1,0,1,0,0,0]
[1,0,1,0,1,1,1,0,0,0,1,0]         => [1,1,1,0,1,0,1,1,0,0,0,0]
[1,0,1,0,1,1,1,0,0,1,0,0]         => [1,1,1,1,0,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,0,0,0]         => [1,1,1,0,1,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,0,0]         => [1,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0]         => [1,1,0,1,1,1,1,0,0,0,0,0]
[1,0,1,1,0,0,1,0,1,1,0,0]         => [1,1,0,1,1,1,0,1,0,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,0]         => [1,1,0,1,1,0,1,1,0,0,0,0]
[1,0,1,1,0,0,1,1,0,1,0,0]         => [1,1,0,1,1,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,0,0]         => [1,1,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,0,1,0,0,1,0,1,0]         => [1,1,1,0,0,1,1,1,0,0,0,0]
[1,0,1,1,0,1,0,0,1,1,0,0]         => [1,1,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,0,1,0,0,1,0]         => [1,1,1,1,0,0,0,1,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,0]         => [1,1,1,1,1,0,0,0,0,1,0,0]
[1,0,1,1,0,1,0,1,1,0,0,0]         => [1,1,1,1,0,0,0,1,0,1,0,0]
[1,0,1,1,0,1,1,0,0,0,1,0]         => [1,1,1,0,0,1,0,1,1,0,0,0]
[1,0,1,1,0,1,1,0,0,1,0,0]         => [1,1,1,1,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,0,0,0]         => [1,1,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,0,0,0]         => [1,1,1,0,0,1,0,1,0,1,0,0]
[1,0,1,1,1,0,0,0,1,0,1,0]         => [1,1,0,1,0,1,1,1,0,0,0,0]
[1,0,1,1,1,0,0,0,1,1,0,0]         => [1,1,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,0,1,0,0,1,0]         => [1,1,1,0,1,0,0,1,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,0,0]         => [1,1,1,0,1,1,0,0,0,1,0,0]
[1,0,1,1,1,0,0,1,1,0,0,0]         => [1,1,1,0,1,0,0,1,0,1,0,0]
[1,0,1,1,1,0,1,0,0,0,1,0]         => [1,1,0,1,1,0,0,1,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,0,0]         => [1,1,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,0,1,0,0,0]         => [1,1,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,0,0,0,0]         => [1,1,0,1,1,0,0,1,0,1,0,0]
[1,0,1,1,1,1,0,0,0,0,1,0]         => [1,1,0,1,0,1,0,1,1,0,0,0]
[1,0,1,1,1,1,0,0,0,1,0,0]         => [1,1,1,0,1,0,1,0,0,1,0,0]
[1,0,1,1,1,1,0,0,1,0,0,0]         => [1,1,0,1,1,0,1,0,0,1,0,0]
[1,0,1,1,1,1,0,1,0,0,0,0]         => [1,1,0,1,0,1,1,0,0,1,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0]         => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0]         => [1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,0,1,0,1,1,0,0]         => [1,0,1,1,1,1,0,1,0,0,0,0]
[1,1,0,0,1,0,1,1,0,0,1,0]         => [1,0,1,1,1,0,1,1,0,0,0,0]
[1,1,0,0,1,0,1,1,0,1,0,0]         => [1,0,1,1,1,1,0,0,1,0,0,0]
[1,1,0,0,1,0,1,1,1,0,0,0]         => [1,0,1,1,1,0,1,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,0,1,0]         => [1,0,1,1,0,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0]         => [1,0,1,1,0,1,1,0,1,0,0,0]
[1,1,0,0,1,1,0,1,0,0,1,0]         => [1,0,1,1,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,0,1,0,1,0,0]         => [1,0,1,1,1,1,0,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0]         => [1,0,1,1,1,0,0,1,0,1,0,0]
[1,1,0,0,1,1,1,0,0,0,1,0]         => [1,0,1,1,0,1,0,1,1,0,0,0]
[1,1,0,0,1,1,1,0,0,1,0,0]         => [1,0,1,1,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,0,0,0]         => [1,0,1,1,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,0,0,0]         => [1,0,1,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0]         => [1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,0,1,0,1,1,0,0]         => [1,1,0,0,1,1,1,0,1,0,0,0]
[1,1,0,1,0,0,1,1,0,0,1,0]         => [1,1,0,0,1,1,0,1,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,0,0]         => [1,1,0,0,1,1,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,0,0]         => [1,1,0,0,1,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,0,1,0,1,0]         => [1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,0,1,1,0,0]         => [1,1,1,0,0,0,1,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,0]         => [1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0]         => [1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,0,1,0,1,0,1,1,0,0,0]         => [1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,0,1,0,1,1,0,0,0,1,0]         => [1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,0,1,0,1,1,0,0,1,0,0]         => [1,1,1,1,0,1,0,0,0,0,1,0]
[1,1,0,1,0,1,1,0,1,0,0,0]         => [1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,1,1,0,0,0,0]         => [1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,0,1,1,0,0,0,1,0,1,0]         => [1,1,0,0,1,0,1,1,1,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0]         => [1,1,0,0,1,0,1,1,0,1,0,0]
[1,1,0,1,1,0,0,1,0,0,1,0]         => [1,1,1,0,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,0,1,0,0]         => [1,1,1,0,1,1,0,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,0]         => [1,1,1,0,1,0,0,0,1,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,0]         => [1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,0,1,0,0,1,0,0]         => [1,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,0,1,0,0,0]         => [1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,0,0]         => [1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,1,1,0,0,0,0,1,0]         => [1,1,0,0,1,0,1,0,1,1,0,0]
[1,1,0,1,1,1,0,0,0,1,0,0]         => [1,1,1,0,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,0,0,1,0,0,0]         => [1,1,0,0,1,1,0,1,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,0,0]         => [1,1,0,0,1,0,1,1,0,0,1,0]
[1,1,0,1,1,1,1,0,0,0,0,0]         => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,1,0,0,0,1,0,1,0,1,0]         => [1,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,0,1,0,1,1,0,0]         => [1,0,1,0,1,1,1,0,1,0,0,0]
[1,1,1,0,0,0,1,1,0,0,1,0]         => [1,0,1,0,1,1,0,1,1,0,0,0]
[1,1,1,0,0,0,1,1,0,1,0,0]         => [1,0,1,0,1,1,1,0,0,1,0,0]
[1,1,1,0,0,0,1,1,1,0,0,0]         => [1,0,1,0,1,1,0,1,0,1,0,0]
[1,1,1,0,0,1,0,0,1,0,1,0]         => [1,1,0,1,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,0,0]         => [1,1,0,1,0,0,1,1,0,1,0,0]
[1,1,1,0,0,1,0,1,0,0,1,0]         => [1,1,0,1,1,0,0,0,1,1,0,0]
[1,1,1,0,0,1,0,1,0,1,0,0]         => [1,1,0,1,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,0,1,1,0,0,0]         => [1,1,0,1,1,0,0,0,1,0,1,0]
[1,1,1,0,0,1,1,0,0,0,1,0]         => [1,1,0,1,0,0,1,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,1,0,0]         => [1,1,0,1,1,0,1,0,0,0,1,0]
[1,1,1,0,0,1,1,0,1,0,0,0]         => [1,1,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,1,0,0,0,0]         => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,1,1,0,1,0,0,0,1,0,1,0]         => [1,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,0,1,1,0,0]         => [1,0,1,1,0,0,1,1,0,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,0]         => [1,1,1,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,1,0,0]         => [1,1,1,0,0,1,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,0,0]         => [1,1,1,0,0,1,0,0,1,0,1,0]
[1,1,1,0,1,0,1,0,0,0,1,0]         => [1,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,0,0,1,0,0]         => [1,1,1,1,0,0,0,1,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,0,0]         => [1,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,0,1,0,1,1,0,0,0,0]         => [1,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,0,1,1,0,0,0,0,1,0]         => [1,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,0,1,1,0,0,0,1,0,0]         => [1,1,1,0,0,1,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,0,0,0]         => [1,0,1,1,1,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,0]         => [1,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,1,0,0,0,0,0]         => [1,0,1,1,0,0,1,0,1,0,1,0]
[1,1,1,1,0,0,0,0,1,0,1,0]         => [1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,1,1,0,0,0,0,1,1,0,0]         => [1,0,1,0,1,0,1,1,0,1,0,0]
[1,1,1,1,0,0,0,1,0,0,1,0]         => [1,1,0,1,0,1,0,0,1,1,0,0]
[1,1,1,1,0,0,0,1,0,1,0,0]         => [1,1,0,1,0,1,1,0,0,0,1,0]
[1,1,1,1,0,0,0,1,1,0,0,0]         => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,1,1,1,0,0,1,0,0,0,1,0]         => [1,0,1,1,0,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0]         => [1,1,1,0,1,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,0,1,0,0,0]         => [1,0,1,1,0,1,1,0,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,0,0]         => [1,0,1,1,0,1,0,0,1,0,1,0]
[1,1,1,1,0,1,0,0,0,0,1,0]         => [1,0,1,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,0,1,0,0]         => [1,1,0,1,1,0,0,1,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,0]         => [1,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,1,0,1,0,1,0,0,0,0]         => [1,0,1,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,1,1,0,0,0,0,0]         => [1,0,1,0,1,1,0,0,1,0,1,0]
[1,1,1,1,1,0,0,0,0,0,1,0]         => [1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,1,1,0,0,0,0,1,0,0]         => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,1,1,1,1,0,0,0,1,0,0,0]         => [1,0,1,1,0,1,0,1,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,0,0]         => [1,0,1,0,1,1,0,1,0,0,1,0]
[1,1,1,1,1,0,1,0,0,0,0,0]         => [1,0,1,0,1,0,1,1,0,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,0]         => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0]     => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0]     => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0]     => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0]     => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0]     => [1,1,1,1,1,0,1,0,1,0,0,0,0,0]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0]     => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0]     => [1,1,1,1,0,1,1,0,1,0,0,0,0,0]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0]     => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,0]     => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0]     => [1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0]     => [1,1,1,1,0,1,0,1,1,0,0,0,0,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0]     => [1,1,1,1,1,0,1,0,0,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,0,0]     => [1,1,1,1,0,1,1,0,0,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0]     => [1,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0]     => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[1,0,1,0,1,1,0,0,1,0,1,1,0,0]     => [1,1,1,0,1,1,1,0,1,0,0,0,0,0]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0]     => [1,1,1,0,1,1,0,1,1,0,0,0,0,0]
[1,0,1,0,1,1,0,0,1,1,0,1,0,0]     => [1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[1,0,1,0,1,1,0,0,1,1,1,0,0,0]     => [1,1,1,0,1,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0]     => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0]     => [1,1,1,1,0,0,1,1,0,1,0,0,0,0]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0]     => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,0]     => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0]     => [1,1,1,1,1,0,0,0,1,0,1,0,0,0]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0]     => [1,1,1,1,0,0,1,0,1,1,0,0,0,0]
[1,0,1,0,1,1,0,1,1,0,0,1,0,0]     => [1,1,1,1,1,0,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0]     => [1,1,1,1,0,0,1,1,0,0,1,0,0,0]
[1,0,1,0,1,1,0,1,1,1,0,0,0,0]     => [1,1,1,1,0,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0]     => [1,1,1,0,1,0,1,1,1,0,0,0,0,0]
[1,0,1,0,1,1,1,0,0,0,1,1,0,0]     => [1,1,1,0,1,0,1,1,0,1,0,0,0,0]
[1,0,1,0,1,1,1,0,0,1,0,0,1,0]     => [1,1,1,1,0,1,0,0,1,1,0,0,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,0,0]     => [1,1,1,1,0,1,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,0,1,1,0,0,0]     => [1,1,1,1,0,1,0,0,1,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0]     => [1,1,1,0,1,1,0,0,1,1,0,0,0,0]
[1,0,1,0,1,1,1,0,1,0,0,1,0,0]     => [1,1,1,1,1,0,0,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,0,1,0,0,0]     => [1,1,1,0,1,1,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,1,0,0,0,0]     => [1,1,1,0,1,1,0,0,1,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0]     => [1,1,1,0,1,0,1,0,1,1,0,0,0,0]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0]     => [1,1,1,1,0,1,0,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0]     => [1,1,1,0,1,1,0,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,1,0,0,0,0]     => [1,1,1,0,1,0,1,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0]     => [1,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0]     => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,1,0,0]     => [1,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,0,1,1,0,0,1,0,1,1,0,0,1,0]     => [1,1,0,1,1,1,0,1,1,0,0,0,0,0]
[1,0,1,1,0,0,1,0,1,1,0,1,0,0]     => [1,1,0,1,1,1,1,0,0,1,0,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0]     => [1,1,0,1,1,1,0,1,0,1,0,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0]     => [1,1,0,1,1,0,1,1,1,0,0,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0]     => [1,1,0,1,1,0,1,1,0,1,0,0,0,0]
[1,0,1,1,0,0,1,1,0,1,0,0,1,0]     => [1,1,0,1,1,1,0,0,1,1,0,0,0,0]
[1,0,1,1,0,0,1,1,0,1,0,1,0,0]     => [1,1,0,1,1,1,1,0,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,1,1,0,0,0]     => [1,1,0,1,1,1,0,0,1,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,0,0,1,0]     => [1,1,0,1,1,0,1,0,1,1,0,0,0,0]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0]     => [1,1,0,1,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0]     => [1,1,0,1,1,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0]     => [1,1,0,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0]     => [1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[1,0,1,1,0,1,0,0,1,0,1,1,0,0]     => [1,1,1,0,0,1,1,1,0,1,0,0,0,0]
[1,0,1,1,0,1,0,0,1,1,0,0,1,0]     => [1,1,1,0,0,1,1,0,1,1,0,0,0,0]
[1,0,1,1,0,1,0,0,1,1,0,1,0,0]     => [1,1,1,0,0,1,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,0,0]     => [1,1,1,0,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0]     => [1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0]     => [1,1,1,1,0,0,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0]     => [1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0]     => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,1,0,0,0]     => [1,1,1,1,1,0,0,0,0,1,0,1,0,0]
[1,0,1,1,0,1,0,1,1,0,0,0,1,0]     => [1,1,1,1,0,0,0,1,0,1,1,0,0,0]
[1,0,1,1,0,1,0,1,1,0,0,1,0,0]     => [1,1,1,1,1,0,1,0,0,0,0,1,0,0]
[1,0,1,1,0,1,0,1,1,0,1,0,0,0]     => [1,1,1,1,0,0,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,0,1,1,1,0,0,0,0]     => [1,1,1,1,0,0,0,1,0,1,0,1,0,0]
[1,0,1,1,0,1,1,0,0,0,1,0,1,0]     => [1,1,1,0,0,1,0,1,1,1,0,0,0,0]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0]     => [1,1,1,0,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0]     => [1,1,1,1,0,1,0,0,0,1,1,0,0,0]
[1,0,1,1,0,1,1,0,0,1,0,1,0,0]     => [1,1,1,1,0,1,1,0,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0]     => [1,1,1,1,0,1,0,0,0,1,0,1,0,0]
[1,0,1,1,0,1,1,0,1,0,0,0,1,0]     => [1,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,0,1,1,0,1,1,0,1,0,0,1,0,0]     => [1,1,1,1,1,0,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,0,1,0,0,0]     => [1,1,1,0,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0]     => [1,1,1,0,0,1,1,0,0,1,0,1,0,0]
[1,0,1,1,0,1,1,1,0,0,0,0,1,0]     => [1,1,1,0,0,1,0,1,0,1,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0]     => [1,1,1,1,0,1,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0]     => [1,1,1,0,0,1,1,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0]     => [1,1,1,0,0,1,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,0,0]     => [1,1,1,0,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0]     => [1,1,0,1,0,1,1,1,1,0,0,0,0,0]
[1,0,1,1,1,0,0,0,1,0,1,1,0,0]     => [1,1,0,1,0,1,1,1,0,1,0,0,0,0]
[1,0,1,1,1,0,0,0,1,1,0,0,1,0]     => [1,1,0,1,0,1,1,0,1,1,0,0,0,0]
[1,0,1,1,1,0,0,0,1,1,0,1,0,0]     => [1,1,0,1,0,1,1,1,0,0,1,0,0,0]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0]     => [1,1,0,1,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,0,0,1,0,0,1,0,1,0]     => [1,1,1,0,1,0,0,1,1,1,0,0,0,0]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0]     => [1,1,1,0,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,0,0,1,0]     => [1,1,1,0,1,1,0,0,0,1,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,0,1,0,0]     => [1,1,1,0,1,1,1,0,0,0,0,1,0,0]
[1,0,1,1,1,0,0,1,0,1,1,0,0,0]     => [1,1,1,0,1,1,0,0,0,1,0,1,0,0]
[1,0,1,1,1,0,0,1,1,0,0,0,1,0]     => [1,1,1,0,1,0,0,1,0,1,1,0,0,0]
[1,0,1,1,1,0,0,1,1,0,0,1,0,0]     => [1,1,1,0,1,1,0,1,0,0,0,1,0,0]
[1,0,1,1,1,0,0,1,1,0,1,0,0,0]     => [1,1,1,0,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,1,0,0,1,1,1,0,0,0,0]     => [1,1,1,0,1,0,0,1,0,1,0,1,0,0]
[1,0,1,1,1,0,1,0,0,0,1,0,1,0]     => [1,1,0,1,1,0,0,1,1,1,0,0,0,0]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0]     => [1,1,0,1,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,0,0,1,0]     => [1,1,1,1,0,0,1,0,0,1,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,0,1,0,0]     => [1,1,1,1,0,0,1,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0]     => [1,1,1,1,0,0,1,0,0,1,0,1,0,0]
[1,0,1,1,1,0,1,0,1,0,0,0,1,0]     => [1,1,0,1,1,1,0,0,0,1,1,0,0,0]
[1,0,1,1,1,0,1,0,1,0,0,1,0,0]     => [1,1,1,1,1,0,0,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0]     => [1,1,0,1,1,1,1,0,0,0,0,1,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,0,0]     => [1,1,0,1,1,1,0,0,0,1,0,1,0,0]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0]     => [1,1,0,1,1,0,0,1,0,1,1,0,0,0]
[1,0,1,1,1,0,1,1,0,0,0,1,0,0]     => [1,1,1,1,0,0,1,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,1,0,0,1,0,0,0]     => [1,1,0,1,1,1,0,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0]     => [1,1,0,1,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,1,0,1,1,1,0,0,0,0,0]     => [1,1,0,1,1,0,0,1,0,1,0,1,0,0]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0]     => [1,1,0,1,0,1,0,1,1,1,0,0,0,0]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0]     => [1,1,0,1,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,1,1,0,0,0,1,0,0,1,0]     => [1,1,1,0,1,0,1,0,0,1,1,0,0,0]
[1,0,1,1,1,1,0,0,0,1,0,1,0,0]     => [1,1,1,0,1,0,1,1,0,0,0,1,0,0]
[1,0,1,1,1,1,0,0,0,1,1,0,0,0]     => [1,1,1,0,1,0,1,0,0,1,0,1,0,0]
[1,0,1,1,1,1,0,0,1,0,0,0,1,0]     => [1,1,0,1,1,0,1,0,0,1,1,0,0,0]
[1,0,1,1,1,1,0,0,1,0,0,1,0,0]     => [1,1,1,1,0,1,0,0,1,0,0,1,0,0]
[1,0,1,1,1,1,0,0,1,0,1,0,0,0]     => [1,1,0,1,1,0,1,1,0,0,0,1,0,0]
[1,0,1,1,1,1,0,0,1,1,0,0,0,0]     => [1,1,0,1,1,0,1,0,0,1,0,1,0,0]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0]     => [1,1,0,1,0,1,1,0,0,1,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,0,1,0,0]     => [1,1,1,0,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0]     => [1,1,0,1,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,1,1,0,1,0,1,0,0,0,0]     => [1,1,0,1,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,1,0,1,1,0,0,0,0,0]     => [1,1,0,1,0,1,1,0,0,1,0,1,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0]     => [1,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,0,1,1,1,1,1,0,0,0,0,1,0,0]     => [1,1,1,0,1,0,1,0,1,0,0,1,0,0]
[1,0,1,1,1,1,1,0,0,0,1,0,0,0]     => [1,1,0,1,1,0,1,0,1,0,0,1,0,0]
[1,0,1,1,1,1,1,0,0,1,0,0,0,0]     => [1,1,0,1,0,1,1,0,1,0,0,1,0,0]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0]     => [1,1,0,1,0,1,0,1,1,0,0,1,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0]     => [1,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0]     => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0]     => [1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,1,0,0,1,0,1,0,1,1,0,0,1,0]     => [1,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,1,0,0,1,0,1,0,1,1,0,1,0,0]     => [1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[1,1,0,0,1,0,1,0,1,1,1,0,0,0]     => [1,0,1,1,1,1,0,1,0,1,0,0,0,0]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0]     => [1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[1,1,0,0,1,0,1,1,0,0,1,1,0,0]     => [1,0,1,1,1,0,1,1,0,1,0,0,0,0]
[1,1,0,0,1,0,1,1,0,1,0,0,1,0]     => [1,0,1,1,1,1,0,0,1,1,0,0,0,0]
[1,1,0,0,1,0,1,1,0,1,0,1,0,0]     => [1,0,1,1,1,1,1,0,0,0,1,0,0,0]
[1,1,0,0,1,0,1,1,0,1,1,0,0,0]     => [1,0,1,1,1,1,0,0,1,0,1,0,0,0]
[1,1,0,0,1,0,1,1,1,0,0,0,1,0]     => [1,0,1,1,1,0,1,0,1,1,0,0,0,0]
[1,1,0,0,1,0,1,1,1,0,0,1,0,0]     => [1,0,1,1,1,1,0,1,0,0,1,0,0,0]
[1,1,0,0,1,0,1,1,1,0,1,0,0,0]     => [1,0,1,1,1,0,1,1,0,0,1,0,0,0]
[1,1,0,0,1,0,1,1,1,1,0,0,0,0]     => [1,0,1,1,1,0,1,0,1,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0]     => [1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,0,1,1,0,0]     => [1,0,1,1,0,1,1,1,0,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0]     => [1,0,1,1,0,1,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,0,0]     => [1,0,1,1,0,1,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0]     => [1,0,1,1,0,1,1,0,1,0,1,0,0,0]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0]     => [1,0,1,1,1,0,0,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,0,0,1,1,0,0]     => [1,0,1,1,1,0,0,1,1,0,1,0,0,0]
[1,1,0,0,1,1,0,1,0,1,0,0,1,0]     => [1,0,1,1,1,1,0,0,0,1,1,0,0,0]
[1,1,0,0,1,1,0,1,0,1,0,1,0,0]     => [1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[1,1,0,0,1,1,0,1,0,1,1,0,0,0]     => [1,0,1,1,1,1,0,0,0,1,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,0]     => [1,0,1,1,1,0,0,1,0,1,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0]     => [1,0,1,1,1,1,0,1,0,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,1,0,0,0]     => [1,0,1,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,1,0,0,0,0]     => [1,0,1,1,1,0,0,1,0,1,0,1,0,0]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0]     => [1,0,1,1,0,1,0,1,1,1,0,0,0,0]
[1,1,0,0,1,1,1,0,0,0,1,1,0,0]     => [1,0,1,1,0,1,0,1,1,0,1,0,0,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,0]     => [1,0,1,1,1,0,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,0,0,1,0,1,0,0]     => [1,0,1,1,1,0,1,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,0]     => [1,0,1,1,1,0,1,0,0,1,0,1,0,0]
[1,1,0,0,1,1,1,0,1,0,0,0,1,0]     => [1,0,1,1,0,1,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0]     => [1,0,1,1,1,1,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,0,1,0,0,0]     => [1,0,1,1,0,1,1,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,0]     => [1,0,1,1,0,1,1,0,0,1,0,1,0,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,0]     => [1,0,1,1,0,1,0,1,0,1,1,0,0,0]
[1,1,0,0,1,1,1,1,0,0,0,1,0,0]     => [1,0,1,1,1,0,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,0]     => [1,0,1,1,0,1,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,1,0,0,0,0]     => [1,0,1,1,0,1,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0]     => [1,0,1,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0]     => [1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,1,0,0]     => [1,1,0,0,1,1,1,1,0,1,0,0,0,0]
[1,1,0,1,0,0,1,0,1,1,0,0,1,0]     => [1,1,0,0,1,1,1,0,1,1,0,0,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0]     => [1,1,0,0,1,1,1,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,0,0]     => [1,1,0,0,1,1,1,0,1,0,1,0,0,0]
[1,1,0,1,0,0,1,1,0,0,1,0,1,0]     => [1,1,0,0,1,1,0,1,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0]     => [1,1,0,0,1,1,0,1,1,0,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,0,0,1,0]     => [1,1,0,0,1,1,1,0,0,1,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,0,1,0,0]     => [1,1,0,0,1,1,1,1,0,0,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0]     => [1,1,0,0,1,1,1,0,0,1,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,0,0,1,0]     => [1,1,0,0,1,1,0,1,0,1,1,0,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0]     => [1,1,0,0,1,1,1,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0]     => [1,1,0,0,1,1,0,1,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,1,0,0,0,0]     => [1,1,0,0,1,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0]     => [1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,0,1,0,1,1,0,0]     => [1,1,1,0,0,0,1,1,1,0,1,0,0,0]
[1,1,0,1,0,1,0,0,1,1,0,0,1,0]     => [1,1,1,0,0,0,1,1,0,1,1,0,0,0]
[1,1,0,1,0,1,0,0,1,1,0,1,0,0]     => [1,1,1,0,0,0,1,1,1,0,0,1,0,0]
[1,1,0,1,0,1,0,0,1,1,1,0,0,0]     => [1,1,1,0,0,0,1,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0]     => [1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0]     => [1,1,1,1,0,0,0,0,1,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0]     => [1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0]     => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0]     => [1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0]     => [1,1,1,1,0,0,0,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,1,1,0,0,1,0,0]     => [1,1,1,1,1,0,1,0,0,0,0,0,1,0]
[1,1,0,1,0,1,0,1,1,0,1,0,0,0]     => [1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,1,1,1,0,0,0,0]     => [1,1,1,1,0,0,0,0,1,0,1,0,1,0]
[1,1,0,1,0,1,1,0,0,0,1,0,1,0]     => [1,1,1,0,0,0,1,0,1,1,1,0,0,0]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0]     => [1,1,1,0,0,0,1,0,1,1,0,1,0,0]
[1,1,0,1,0,1,1,0,0,1,0,0,1,0]     => [1,1,1,1,0,1,0,0,0,0,1,1,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0]     => [1,1,1,1,0,1,1,0,0,0,0,0,1,0]
[1,1,0,1,0,1,1,0,0,1,1,0,0,0]     => [1,1,1,1,0,1,0,0,0,0,1,0,1,0]
[1,1,0,1,0,1,1,0,1,0,0,0,1,0]     => [1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,1,0,1,0,0,1,0,0]     => [1,1,1,1,1,0,0,1,0,0,0,0,1,0]
[1,1,0,1,0,1,1,0,1,0,1,0,0,0]     => [1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,0,1,1,0,1,1,0,0,0,0]     => [1,1,1,0,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,0,1,1,1,0,0,0,0,1,0]     => [1,1,1,0,0,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,1,1,1,0,0,0,1,0,0]     => [1,1,1,1,0,1,0,1,0,0,0,0,1,0]
[1,1,0,1,0,1,1,1,0,0,1,0,0,0]     => [1,1,1,0,0,0,1,1,0,1,0,0,1,0]
[1,1,0,1,0,1,1,1,0,1,0,0,0,0]     => [1,1,1,0,0,0,1,0,1,1,0,0,1,0]
[1,1,0,1,0,1,1,1,1,0,0,0,0,0]     => [1,1,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0]     => [1,1,0,0,1,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,0,0,0,1,0,1,1,0,0]     => [1,1,0,0,1,0,1,1,1,0,1,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,0]     => [1,1,0,0,1,0,1,1,0,1,1,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,0,0]     => [1,1,0,0,1,0,1,1,1,0,0,1,0,0]
[1,1,0,1,1,0,0,0,1,1,1,0,0,0]     => [1,1,0,0,1,0,1,1,0,1,0,1,0,0]
[1,1,0,1,1,0,0,1,0,0,1,0,1,0]     => [1,1,1,0,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0]     => [1,1,1,0,1,0,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,0,1,0,1,0,0,1,0]     => [1,1,1,0,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,0,1,0,1,0,0]     => [1,1,1,0,1,1,1,0,0,0,0,0,1,0]
[1,1,0,1,1,0,0,1,0,1,1,0,0,0]     => [1,1,1,0,1,1,0,0,0,0,1,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,0]     => [1,1,1,0,1,0,0,0,1,0,1,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0]     => [1,1,1,0,1,1,0,1,0,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,1,0,0,0]     => [1,1,1,0,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,1,1,1,0,0,0,0]     => [1,1,1,0,1,0,0,0,1,0,1,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,0,1,0]     => [1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0]     => [1,1,0,0,1,1,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,1,0,0,1,0,0,1,0]     => [1,1,1,1,0,0,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,0,0,1,0,1,0,0]     => [1,1,1,1,0,0,1,1,0,0,0,0,1,0]
[1,1,0,1,1,0,1,0,0,1,1,0,0,0]     => [1,1,1,1,0,0,1,0,0,0,1,0,1,0]
[1,1,0,1,1,0,1,0,1,0,0,0,1,0]     => [1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,0,1,0,0,1,0,0]     => [1,1,1,1,1,0,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,0,1,0,1,0,0,0]     => [1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,0,1,1,0,1,0,1,1,0,0,0,0]     => [1,1,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,0]     => [1,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,0,1,1,0,1,1,0,0,0,1,0,0]     => [1,1,1,1,0,0,1,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,1,0,0,0]     => [1,1,0,0,1,1,1,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0]     => [1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,1,1,0,0,0,0,0]     => [1,1,0,0,1,1,0,0,1,0,1,0,1,0]
[1,1,0,1,1,1,0,0,0,0,1,0,1,0]     => [1,1,0,0,1,0,1,0,1,1,1,0,0,0]
[1,1,0,1,1,1,0,0,0,0,1,1,0,0]     => [1,1,0,0,1,0,1,0,1,1,0,1,0,0]
[1,1,0,1,1,1,0,0,0,1,0,0,1,0]     => [1,1,1,0,1,0,1,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,0,0,1,0,1,0,0]     => [1,1,1,0,1,0,1,1,0,0,0,0,1,0]
[1,1,0,1,1,1,0,0,0,1,1,0,0,0]     => [1,1,1,0,1,0,1,0,0,0,1,0,1,0]
[1,1,0,1,1,1,0,0,1,0,0,0,1,0]     => [1,1,0,0,1,1,0,1,0,0,1,1,0,0]
[1,1,0,1,1,1,0,0,1,0,0,1,0,0]     => [1,1,1,1,0,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,1,0,0,1,0,1,0,0,0]     => [1,1,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,1,1,1,0,0,1,1,0,0,0,0]     => [1,1,0,0,1,1,0,1,0,0,1,0,1,0]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0]     => [1,1,0,0,1,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,0,0,0,1,0,0]     => [1,1,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0]     => [1,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,0,1,1,1,0,1,0,1,0,0,0,0]     => [1,1,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,1,0,1,1,0,0,0,0,0]     => [1,1,0,0,1,0,1,1,0,0,1,0,1,0]
[1,1,0,1,1,1,1,0,0,0,0,0,1,0]     => [1,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,1,1,1,1,0,0,0,0,1,0,0]     => [1,1,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,1,0,0,0,1,0,0,0]     => [1,1,0,0,1,1,0,1,0,1,0,0,1,0]
[1,1,0,1,1,1,1,0,0,1,0,0,0,0]     => [1,1,0,0,1,0,1,1,0,1,0,0,1,0]
[1,1,0,1,1,1,1,0,1,0,0,0,0,0]     => [1,1,0,0,1,0,1,0,1,1,0,0,1,0]
[1,1,0,1,1,1,1,1,0,0,0,0,0,0]     => [1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0]     => [1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,0,0,1,0,1,0,1,1,0,0]     => [1,0,1,0,1,1,1,1,0,1,0,0,0,0]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0]     => [1,0,1,0,1,1,1,0,1,1,0,0,0,0]
[1,1,1,0,0,0,1,0,1,1,0,1,0,0]     => [1,0,1,0,1,1,1,1,0,0,1,0,0,0]
[1,1,1,0,0,0,1,0,1,1,1,0,0,0]     => [1,0,1,0,1,1,1,0,1,0,1,0,0,0]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0]     => [1,0,1,0,1,1,0,1,1,1,0,0,0,0]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0]     => [1,0,1,0,1,1,0,1,1,0,1,0,0,0]
[1,1,1,0,0,0,1,1,0,1,0,0,1,0]     => [1,0,1,0,1,1,1,0,0,1,1,0,0,0]
[1,1,1,0,0,0,1,1,0,1,0,1,0,0]     => [1,0,1,0,1,1,1,1,0,0,0,1,0,0]
[1,1,1,0,0,0,1,1,0,1,1,0,0,0]     => [1,0,1,0,1,1,1,0,0,1,0,1,0,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,0]     => [1,0,1,0,1,1,0,1,0,1,1,0,0,0]
[1,1,1,0,0,0,1,1,1,0,0,1,0,0]     => [1,0,1,0,1,1,1,0,1,0,0,1,0,0]
[1,1,1,0,0,0,1,1,1,0,1,0,0,0]     => [1,0,1,0,1,1,0,1,1,0,0,1,0,0]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0]     => [1,0,1,0,1,1,0,1,0,1,0,1,0,0]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0]     => [1,1,0,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,1,0,0,1,0,1,1,0,0]     => [1,1,0,1,0,0,1,1,1,0,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,0]     => [1,1,0,1,0,0,1,1,0,1,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,0,1,0,0]     => [1,1,0,1,0,0,1,1,1,0,0,1,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,0]     => [1,1,0,1,0,0,1,1,0,1,0,1,0,0]
[1,1,1,0,0,1,0,1,0,0,1,0,1,0]     => [1,1,0,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,0,1,0,0,1,1,0,0]     => [1,1,0,1,1,0,0,0,1,1,0,1,0,0]
[1,1,1,0,0,1,0,1,0,1,0,0,1,0]     => [1,1,0,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0]     => [1,1,0,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,0,0,1,0,1,0,1,1,0,0,0]     => [1,1,0,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,0,0,1,0,1,1,0,0,0,1,0]     => [1,1,0,1,1,0,0,0,1,0,1,1,0,0]
[1,1,1,0,0,1,0,1,1,0,0,1,0,0]     => [1,1,0,1,1,1,0,1,0,0,0,0,1,0]
[1,1,1,0,0,1,0,1,1,0,1,0,0,0]     => [1,1,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,0,1,1,1,0,0,0,0]     => [1,1,0,1,1,0,0,0,1,0,1,0,1,0]
[1,1,1,0,0,1,1,0,0,0,1,0,1,0]     => [1,1,0,1,0,0,1,0,1,1,1,0,0,0]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0]     => [1,1,0,1,0,0,1,0,1,1,0,1,0,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,0]     => [1,1,0,1,1,0,1,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,1,0,1,0,0]     => [1,1,0,1,1,0,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0]     => [1,1,0,1,1,0,1,0,0,0,1,0,1,0]
[1,1,1,0,0,1,1,0,1,0,0,0,1,0]     => [1,1,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,1,0,0,1,0,0]     => [1,1,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,1,0,0,1,1,0,1,0,1,0,0,0]     => [1,1,0,1,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,0]     => [1,1,0,1,0,0,1,1,0,0,1,0,1,0]
[1,1,1,0,0,1,1,1,0,0,0,0,1,0]     => [1,1,0,1,0,0,1,0,1,0,1,1,0,0]
[1,1,1,0,0,1,1,1,0,0,0,1,0,0]     => [1,1,0,1,1,0,1,0,1,0,0,0,1,0]
[1,1,1,0,0,1,1,1,0,0,1,0,0,0]     => [1,1,0,1,0,0,1,1,0,1,0,0,1,0]
[1,1,1,0,0,1,1,1,0,1,0,0,0,0]     => [1,1,0,1,0,0,1,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,1,1,0,0,0,0,0]     => [1,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0]     => [1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,0,0,0,1,0,1,1,0,0]     => [1,0,1,1,0,0,1,1,1,0,1,0,0,0]
[1,1,1,0,1,0,0,0,1,1,0,0,1,0]     => [1,0,1,1,0,0,1,1,0,1,1,0,0,0]
[1,1,1,0,1,0,0,0,1,1,0,1,0,0]     => [1,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,1,1,0,1,0,0,0,1,1,1,0,0,0]     => [1,0,1,1,0,0,1,1,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,0,1,0]     => [1,1,1,0,0,1,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0]     => [1,1,1,0,0,1,0,0,1,1,0,1,0,0]
[1,1,1,0,1,0,0,1,0,1,0,0,1,0]     => [1,1,1,0,0,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,0]     => [1,1,1,0,0,1,1,1,0,0,0,0,1,0]
[1,1,1,0,1,0,0,1,0,1,1,0,0,0]     => [1,1,1,0,0,1,1,0,0,0,1,0,1,0]
[1,1,1,0,1,0,0,1,1,0,0,0,1,0]     => [1,1,1,0,0,1,0,0,1,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,0,0,1,0,0]     => [1,1,1,0,0,1,1,0,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0]     => [1,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,0,0,1,1,1,0,0,0,0]     => [1,1,1,0,0,1,0,0,1,0,1,0,1,0]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0]     => [1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,0,0,0,1,1,0,0]     => [1,0,1,1,1,0,0,0,1,1,0,1,0,0]
[1,1,1,0,1,0,1,0,0,1,0,0,1,0]     => [1,1,1,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,0,1,0,0,1,0,1,0,0]     => [1,1,1,1,0,0,0,1,1,0,0,0,1,0]
[1,1,1,0,1,0,1,0,0,1,1,0,0,0]     => [1,1,1,1,0,0,0,1,0,0,1,0,1,0]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0]     => [1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,0]     => [1,1,1,1,1,0,0,0,0,1,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0]     => [1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0]     => [1,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,0,1,0,1,1,0,0,0,0,1,0]     => [1,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,1,0,1,0,1,1,0,0,0,1,0,0]     => [1,1,1,1,0,0,0,1,0,1,0,0,1,0]
[1,1,1,0,1,0,1,1,0,0,1,0,0,0]     => [1,0,1,1,1,1,0,1,0,0,0,0,1,0]
[1,1,1,0,1,0,1,1,0,1,0,0,0,0]     => [1,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,0,1,1,1,0,0,0,0,0]     => [1,0,1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0]     => [1,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,0,0,0,1,1,0,0]     => [1,0,1,1,0,0,1,0,1,1,0,1,0,0]
[1,1,1,0,1,1,0,0,0,1,0,0,1,0]     => [1,1,1,0,0,1,0,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,0,0]     => [1,1,1,0,0,1,0,1,1,0,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,0]     => [1,1,1,0,0,1,0,1,0,0,1,0,1,0]
[1,1,1,0,1,1,0,0,1,0,0,0,1,0]     => [1,0,1,1,1,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,0,0,1,0,0]     => [1,1,1,1,0,1,0,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,0,1,0,0,0]     => [1,0,1,1,1,0,1,1,0,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,0]     => [1,0,1,1,1,0,1,0,0,0,1,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,0,1,0]     => [1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0]     => [1,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,1,0,0,0]     => [1,0,1,1,1,1,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,1,0,1,0,0,0,0]     => [1,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,1,0,1,1,0,0,0,0,0]     => [1,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,1,0,1,1,1,0,0,0,0,0,1,0]     => [1,0,1,1,0,0,1,0,1,0,1,1,0,0]
[1,1,1,0,1,1,1,0,0,0,0,1,0,0]     => [1,1,1,0,0,1,0,1,0,1,0,0,1,0]
[1,1,1,0,1,1,1,0,0,0,1,0,0,0]     => [1,0,1,1,1,0,1,0,1,0,0,0,1,0]
[1,1,1,0,1,1,1,0,0,1,0,0,0,0]     => [1,0,1,1,0,0,1,1,0,1,0,0,1,0]
[1,1,1,0,1,1,1,0,1,0,0,0,0,0]     => [1,0,1,1,0,0,1,0,1,1,0,0,1,0]
[1,1,1,0,1,1,1,1,0,0,0,0,0,0]     => [1,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0]     => [1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,0,0,0,1,0,1,1,0,0]     => [1,0,1,0,1,0,1,1,1,0,1,0,0,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,0]     => [1,0,1,0,1,0,1,1,0,1,1,0,0,0]
[1,1,1,1,0,0,0,0,1,1,0,1,0,0]     => [1,0,1,0,1,0,1,1,1,0,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0]     => [1,0,1,0,1,0,1,1,0,1,0,1,0,0]
[1,1,1,1,0,0,0,1,0,0,1,0,1,0]     => [1,1,0,1,0,1,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,0,1,0,0,1,1,0,0]     => [1,1,0,1,0,1,0,0,1,1,0,1,0,0]
[1,1,1,1,0,0,0,1,0,1,0,0,1,0]     => [1,1,0,1,0,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,0,0,1,0,1,0,1,0,0]     => [1,1,0,1,0,1,1,1,0,0,0,0,1,0]
[1,1,1,1,0,0,0,1,0,1,1,0,0,0]     => [1,1,0,1,0,1,1,0,0,0,1,0,1,0]
[1,1,1,1,0,0,0,1,1,0,0,0,1,0]     => [1,1,0,1,0,1,0,0,1,0,1,1,0,0]
[1,1,1,1,0,0,0,1,1,0,0,1,0,0]     => [1,1,0,1,0,1,1,0,1,0,0,0,1,0]
[1,1,1,1,0,0,0,1,1,0,1,0,0,0]     => [1,1,0,1,0,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0]     => [1,1,0,1,0,1,0,0,1,0,1,0,1,0]
[1,1,1,1,0,0,1,0,0,0,1,0,1,0]     => [1,0,1,1,0,1,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,0,0,0,1,1,0,0]     => [1,0,1,1,0,1,0,0,1,1,0,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,0]     => [1,1,1,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,0,0]     => [1,1,1,0,1,0,0,1,1,0,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,0]     => [1,1,1,0,1,0,0,1,0,0,1,0,1,0]
[1,1,1,1,0,0,1,0,1,0,0,0,1,0]     => [1,0,1,1,0,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,1,0,0,1,0,0]     => [1,1,1,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,0,1,0,1,0,0,0]     => [1,0,1,1,0,1,1,1,0,0,0,0,1,0]
[1,1,1,1,0,0,1,0,1,1,0,0,0,0]     => [1,0,1,1,0,1,1,0,0,0,1,0,1,0]
[1,1,1,1,0,0,1,1,0,0,0,0,1,0]     => [1,0,1,1,0,1,0,0,1,0,1,1,0,0]
[1,1,1,1,0,0,1,1,0,0,0,1,0,0]     => [1,1,1,0,1,0,0,1,0,1,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,1,0,0,0]     => [1,0,1,1,0,1,1,0,1,0,0,0,1,0]
[1,1,1,1,0,0,1,1,0,1,0,0,0,0]     => [1,0,1,1,0,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,1,1,1,0,0,0,0,0]     => [1,0,1,1,0,1,0,0,1,0,1,0,1,0]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0]     => [1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,0,0,0,1,1,0,0]     => [1,0,1,0,1,1,0,0,1,1,0,1,0,0]
[1,1,1,1,0,1,0,0,0,1,0,0,1,0]     => [1,1,0,1,1,0,0,1,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,0,1,0,1,0,0]     => [1,1,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,1,1,0,1,0,0,0,1,1,0,0,0]     => [1,1,0,1,1,0,0,1,0,0,1,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,0,1,0]     => [1,0,1,1,1,0,0,1,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0]     => [1,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,1,0,0,0]     => [1,0,1,1,1,0,0,1,1,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,1,0,0,0,0]     => [1,0,1,1,1,0,0,1,0,0,1,0,1,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,0]     => [1,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,0,0,1,0,0]     => [1,1,0,1,1,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,1,0,1,0,0,1,0,0,0]     => [1,0,1,1,1,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0]     => [1,0,1,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,0,1,0,1,1,0,0,0,0,0]     => [1,0,1,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,1,0,1,1,0,0,0,0,0,1,0]     => [1,0,1,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,1,0,1,1,0,0,0,0,1,0,0]     => [1,1,0,1,1,0,0,1,0,1,0,0,1,0]
[1,1,1,1,0,1,1,0,0,0,1,0,0,0]     => [1,0,1,1,1,0,0,1,0,1,0,0,1,0]
[1,1,1,1,0,1,1,0,0,1,0,0,0,0]     => [1,0,1,0,1,1,1,0,1,0,0,0,1,0]
[1,1,1,1,0,1,1,0,1,0,0,0,0,0]     => [1,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,1,1,1,0,0,0,0,0,0]     => [1,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0]     => [1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0]     => [1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,1,1,1,1,0,0,0,0,1,0,0,1,0]     => [1,1,0,1,0,1,0,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0]     => [1,1,0,1,0,1,0,1,1,0,0,0,1,0]
[1,1,1,1,1,0,0,0,0,1,1,0,0,0]     => [1,1,0,1,0,1,0,1,0,0,1,0,1,0]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0]     => [1,0,1,1,0,1,0,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0]     => [1,1,1,0,1,0,1,0,0,1,0,0,1,0]
[1,1,1,1,1,0,0,0,1,0,1,0,0,0]     => [1,0,1,1,0,1,0,1,1,0,0,0,1,0]
[1,1,1,1,1,0,0,0,1,1,0,0,0,0]     => [1,0,1,1,0,1,0,1,0,0,1,0,1,0]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0]     => [1,0,1,0,1,1,0,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,0,0,1,0,0]     => [1,1,0,1,1,0,1,0,0,1,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,0]     => [1,0,1,1,1,0,1,0,0,1,0,0,1,0]
[1,1,1,1,1,0,0,1,0,1,0,0,0,0]     => [1,0,1,0,1,1,0,1,1,0,0,0,1,0]
[1,1,1,1,1,0,0,1,1,0,0,0,0,0]     => [1,0,1,0,1,1,0,1,0,0,1,0,1,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0]     => [1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,0,0,0,1,0,0]     => [1,1,0,1,0,1,1,0,0,1,0,0,1,0]
[1,1,1,1,1,0,1,0,0,0,1,0,0,0]     => [1,0,1,1,0,1,1,0,0,1,0,0,1,0]
[1,1,1,1,1,0,1,0,0,1,0,0,0,0]     => [1,0,1,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,1,1,0,1,0,1,0,0,0,0,0]     => [1,0,1,0,1,0,1,1,1,0,0,0,1,0]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0]     => [1,0,1,0,1,0,1,1,0,0,1,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0]     => [1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0]     => [1,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,1,1,1,1,1,0,0,0,0,1,0,0,0]     => [1,0,1,1,0,1,0,1,0,1,0,0,1,0]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0]     => [1,0,1,0,1,1,0,1,0,1,0,0,1,0]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0]     => [1,0,1,0,1,0,1,1,0,1,0,0,1,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0]     => [1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0]     => [1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]
[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]
[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]
[1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]
[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]
[1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]
[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]
[1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]
[1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]
[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0]
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0]
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0]
[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]
[1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]
[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0]
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]
[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]
[1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0]
[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0]
[1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]
[1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0]
[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]
[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]
[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]
[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]
[1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]
[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0]
[1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0]
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]
[1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0]
[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0]
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0]
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0]
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0]
[1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]
[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]
[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0]
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0]
[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0]
[1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]
[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0]
[1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0]
[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0]
[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]
[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0]
[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0]
[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]
[1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0]
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]
[1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0]
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]
[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0]
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0]
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0]
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]
[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0]
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]
[1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0]
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0]
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]
[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0]
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]
[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0]
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0]
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0]
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0]
[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0]
[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0]
[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0]
[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0]
[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]
[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]
[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0]
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0]
[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0]
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0]
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0]
[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0]
[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]
[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0]
[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]
[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0]
[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0]
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0]
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0]
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0]
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0]
[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0]
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]
[1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]
[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]
[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]
[1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]
[1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]
[1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]
[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]
[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0]
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]
[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]
[1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0]
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0]
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]
[1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]
[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]
[1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]
[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0]
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0]
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]
[1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]
[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]
[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]
[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0]
[1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]

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Created: Jan 26, 2025 at 17:20 by Martin Rubey

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Last Updated: Jan 26, 2025 at 17:20 by Martin Rubey