************************************************************************
*    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: Mp00222

------------------------------------------------------------------------
Map name: peaks-to-valleys

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

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

------------------------------------------------------------------------
Description: Return the path that has a valley wherever the original path has a peak of height at least one.

More precisely, the height of a valley in the image is the height of the corresponding peak minus $2$.

This is also (the inverse of) rowmotion on Dyck paths regarded as order ideals in the triangular poset.

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

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

def mapping(D):
    # determine non-minimal peaks and their heights
    h = 0
    P = [(-2,0)]
    for i in range(len(D)-1):
        if D[i] == 1:
            if D[i+1] == 0 and h > 0:
                P.append((i, h))
            h += 1
        else:
            h -= 1
    P.append((len(D), 0))
    # create a Dyck path with valleys at these positions
    E = []
    for k in range(len(P)-1):
        i0, h0 = P[k]
        i1, h1 = P[k+1]
        a = (i1-i0-2+h1-h0)//2
        b = (i1-i0-2-(h1-h0))//2
        E.extend([1]*a)
        E.extend([0]*b)
        E.extend([0,1])
    return DyckWord(E[:-2])


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

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Created: Apr 08, 2021 at 12:09 by Martin Rubey

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Last Updated: Jan 06, 2023 at 11:45 by Martin Rubey