************************************************************************
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*    Copyright (C) 2013 The FindStatCrew <info@findstat.org>           *
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*    useful, but WITHOUT ANY WARRANTY; without even the implied        *
*    warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  *
************************************************************************

------------------------------------------------------------------------
Map identifier: Mp00229

------------------------------------------------------------------------
Map name: Delest-Viennot

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

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

------------------------------------------------------------------------
Description: Return the Dyck path corresponding to the parallelogram polyomino obtained by applying Delest-Viennot's bijection.

Let $D$ be a Dyck path of semilength $n$. The parallelogram polyomino $\gamma(D)$ is defined as follows: let $\tilde D = d_0 d_1 \dots d_{2n+1}$ be the Dyck path obtained by prepending an up step and appending a down step to $D$. Then, the upper path of $\gamma(D)$ corresponds to the sequence of steps of $\tilde D$ with even indices, and the lower path of $\gamma(D)$ corresponds to the sequence of steps of $\tilde D$ with odd indices. 

The Delest-Viennot bijection $\beta$ returns the parallelogram polyomino, whose column heights are the heights of the peaks of the Dyck path, and the intersection heights between columns are the heights of the valleys of the Dyck path.

This map returns the Dyck path $(\gamma^{(-1)}\circ\beta)(D)$.

------------------------------------------------------------------------
References: [1]   Delest, M.-P., Viennot, Gérard Algebraic languages and polyominoes enumeration [[MathSciNet:0774044]]

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

def mapping(dyck):
    if not dyck:
        pp = ParallelogramPolyomino([[1], [1]])
    else:
        a = []
        b = [0]
        h = 0
        for i in range(len(dyck)-1):
            if dyck[i] == 1:
                h += 1
                if dyck[i+1] == 0:
                    a.append(h)
            else:
                if dyck[i+1] == 1:
                    b.append(h)
                h -= 1
        b.append(0)
        word_down = []
        word_up = []
        for i in range(len(a)):
            word_down.extend([0]*(a[i]-b[i]) + [1])
            word_up.extend([1]+[0]*(a[i]-b[i+1]))
        pp = ParallelogramPolyomino([word_down, word_up])
    return pp.to_dyck_word()


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

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Created: May 05, 2021 at 20:52 by Martin Rubey

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Last Updated: May 05, 2021 at 20:52 by Martin Rubey