************************************************************************
*    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: Mp00118

------------------------------------------------------------------------
Map name: swap returns and last descent

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

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

------------------------------------------------------------------------
Description: Return a Dyck path with number of returns and length of the last descent interchanged.

This is the specialisation of the map $\Phi$ in [1] to Dyck paths.  It is characterised by the fact that the number of up steps before a down step that is neither a return nor part of the last descent is preserved.

------------------------------------------------------------------------
References: [1]   Elizalde, S., Rubey, M. Symmetries of statistics on lattice paths between two boundaries [[MathSciNet:3422679]]

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

def mapping(D):
    def phi(D):
        last_top = len(D)-1
        num_east = 0
        num_north = 1
        while D[last_top] == 0:
            last_top -= 1
            num_east += 1
        last_ret = last_top
        last_top += 1
        while num_east > num_north + 1:
            last_ret -= 1
            if D[last_ret] == 0:
                num_east += 1
            else:
                num_north += 1
        return D[:last_ret] + [0] + D[last_ret:last_top] + D[last_top+1:]

    def phi_inv(D):
        last_top = len(D)-1
        num_east = 0
        num_north = 1
        while D[last_top] == 0:
            last_top -= 1
            num_east += 1
        last_bot = last_top
        last_top += 1
        while num_east > num_north:
            last_bot -= 1
            if D[last_bot] == 0:
                num_east += 1
            else:
                num_north += 1
        last_bot -= 1
        return D[:last_bot] + D[last_bot+1:last_top] + [0] + D[last_top:]

    D = DyckWord(D)
    bot = D.number_of_touch_points()
    top = D.reverse().number_of_initial_rises()
    if bot > top:
        for i in range(bot-top):
            D = phi_inv(D)
        return DyckWord(D)
    elif top > bot:
        for i in range(top-bot):
            D = phi(D)
        return DyckWord(D)
    else:
        return DyckWord(D)

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

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Created: Jan 29, 2020 at 13:25 by FindStatCrew

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Last Updated: Jan 29, 2020 at 13:25 by Martin Rubey