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------------------------------------------------------------------------
Map identifier: Mp00122

------------------------------------------------------------------------
Map name: Elizalde-Deutsch bijection

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

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

------------------------------------------------------------------------
Description: The Elizalde-Deutsch bijection on Dyck paths.

.Let $n$ be the length of the Dyck path.  Consider the steps $1,n,2,n-1,\dots$ of $D$.  When considering the $i$-th step its corresponding matching step has not yet been read, let the $i$-th step of the image of $D$ be an up step, otherwise let it be a down step.

------------------------------------------------------------------------
References: [1]   Elizalde, S., Deutsch, E. A simple and unusual bijection for Dyck paths and its consequences [[MathSciNet:2028229]]

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

def mapping(D):
    """
    sage: D = DyckWord([1,1,0,0])
    sage: mapping(D)
    sage: D = DyckWord([1,1,0,1,1,0,1,0,1,0,0,0,1,0])
    sage: mapping(D)
    [1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0]

    sage: all(D.number_of_tunnels("centered") == len([p for p in mapping(D).peaks() if phi(D).heights()[p] == 0]) for D in DyckWords(4))
    True

    sage: all(D.number_of_tunnels("right") == len([1 for s in mapping(D)[1::2] if s == 1]) for D in DyckWords(5))
    True
    """
    two_n = len(D)
    sigma = Permutation([(i+1)//2 if is_odd(i) else (two_n+1-i//2) for i in range(1,two_n+1)])
    sigma_inv = sigma.inverse()
    M = PerfectMatching([(a+1,b) for a,b in D.tunnels()])
    return DyckWord([1 if sigma_inv(M.partner(s_i)) > i else 0 for i, s_i in enumerate(sigma, 1)])


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

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Created: Jan 29, 2020 at 13:26 by FindStatCrew

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Last Updated: Jan 29, 2020 at 13:26 by Martin Rubey