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************************************************************************

------------------------------------------------------------------------
Map identifier: Mp00228

------------------------------------------------------------------------
Map name: reflect parallelogram polyomino

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

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

------------------------------------------------------------------------
Description: Reflect the corresponding parallelogram polyomino, such that the first column becomes the first row.

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.

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

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

def mapping(D):
    a, b = ParallelogramPolyomino.from_dyck_word(D)
    p = ParallelogramPolyomino([[1-v for v in b], [1-v for v in a]])
    return p.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]                     => [1,0,1,0,1,0]
[1,1,1,0,0,0]                     => [1,1,1,0,0,0]
[1,0,1,0,1,0,1,0]                 => [1,1,0,1,0,1,0,0]
[1,0,1,0,1,1,0,0]                 => [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]                 => [1,1,0,0,1,0,1,0]
[1,0,1,1,1,0,0,0]                 => [1,1,0,1,1,0,0,0]
[1,1,0,0,1,0,1,0]                 => [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]                 => [1,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,0]                 => [1,0,1,0,1,0,1,0]
[1,1,0,1,1,0,0,0]                 => [1,0,1,1,1,0,0,0]
[1,1,1,0,0,0,1,0]                 => [1,1,1,0,0,1,0,0]
[1,1,1,0,0,1,0,0]                 => [1,1,1,0,0,0,1,0]
[1,1,1,0,1,0,0,0]                 => [1,1,1,1,0,0,0,0]
[1,1,1,1,0,0,0,0]                 => [1,1,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0]             => [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]             => [1,1,0,1,0,0,1,0,1,0]
[1,0,1,0,1,1,1,0,0,0]             => [1,1,0,1,0,1,1,0,0,0]
[1,0,1,1,0,0,1,0,1,0]             => [1,1,0,0,1,1,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0]             => [1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,0,0,1,0]             => [1,1,0,0,1,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,0]             => [1,1,0,0,1,0,1,0,1,0]
[1,0,1,1,0,1,1,0,0,0]             => [1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,0,0,1,0]             => [1,1,0,1,1,0,0,1,0,0]
[1,0,1,1,1,0,0,1,0,0]             => [1,1,0,1,1,0,0,0,1,0]
[1,0,1,1,1,0,1,0,0,0]             => [1,1,0,1,1,1,0,0,0,0]
[1,0,1,1,1,1,0,0,0,0]             => [1,1,0,1,1,0,1,0,0,0]
[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]             => [1,0,1,1,0,0,1,0,1,0]
[1,1,0,0,1,1,1,0,0,0]             => [1,0,1,1,0,1,1,0,0,0]
[1,1,0,1,0,0,1,0,1,0]             => [1,0,1,0,1,1,0,1,0,0]
[1,1,0,1,0,0,1,1,0,0]             => [1,0,1,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,0,1,0]             => [1,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,0]             => [1,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,1,0,0,0]             => [1,0,1,0,1,1,1,0,0,0]
[1,1,0,1,1,0,0,0,1,0]             => [1,0,1,1,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,0,0]             => [1,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,0,0,0]             => [1,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,1,0,0,0,0]             => [1,0,1,1,1,0,1,0,0,0]
[1,1,1,0,0,0,1,0,1,0]             => [1,1,1,0,0,1,0,1,0,0]
[1,1,1,0,0,0,1,1,0,0]             => [1,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,0]             => [1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,0,1,0,1,0,0]             => [1,1,1,0,0,0,1,0,1,0]
[1,1,1,0,0,1,1,0,0,0]             => [1,1,1,0,0,1,1,0,0,0]
[1,1,1,0,1,0,0,0,1,0]             => [1,1,1,1,0,0,0,1,0,0]
[1,1,1,0,1,0,0,1,0,0]             => [1,1,1,1,0,0,0,0,1,0]
[1,1,1,0,1,0,1,0,0,0]             => [1,1,1,1,0,1,0,0,0,0]
[1,1,1,0,1,1,0,0,0,0]             => [1,1,1,1,0,0,1,0,0,0]
[1,1,1,1,0,0,0,0,1,0]             => [1,1,1,0,1,0,0,1,0,0]
[1,1,1,1,0,0,0,1,0,0]             => [1,1,1,0,1,0,0,0,1,0]
[1,1,1,1,0,0,1,0,0,0]             => [1,1,1,0,1,1,0,0,0,0]
[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]             => [1,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0]         => [1,1,0,1,0,1,0,1,0,1,0,0]
[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]         => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,0,1,0,1,0,1,1,1,0,0,0]         => [1,1,0,1,0,1,0,1,1,0,0,0]
[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]         => [1,1,0,1,0,0,1,0,1,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,0]         => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,0,1,0,1,1,0,1,1,0,0,0]         => [1,1,0,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,1,0,0,0,1,0]         => [1,1,0,1,0,1,1,0,0,1,0,0]
[1,0,1,0,1,1,1,0,0,1,0,0]         => [1,1,0,1,0,1,1,0,0,0,1,0]
[1,0,1,0,1,1,1,0,1,0,0,0]         => [1,1,0,1,0,1,1,1,0,0,0,0]
[1,0,1,0,1,1,1,1,0,0,0,0]         => [1,1,0,1,0,1,1,0,1,0,0,0]
[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]         => [1,1,0,0,1,1,0,0,1,0,1,0]
[1,0,1,1,0,0,1,1,1,0,0,0]         => [1,1,0,0,1,1,0,1,1,0,0,0]
[1,0,1,1,0,1,0,0,1,0,1,0]         => [1,1,0,0,1,0,1,1,0,1,0,0]
[1,0,1,1,0,1,0,0,1,1,0,0]         => [1,1,0,0,1,0,1,1,0,0,1,0]
[1,0,1,1,0,1,0,1,0,0,1,0]         => [1,1,0,0,1,0,1,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,0]         => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,1,0,1,1,0,0,0]         => [1,1,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,0,0,0,1,0]         => [1,1,0,0,1,1,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,0]         => [1,1,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,0,1,1,0,1,0,0,0]         => [1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,0,0,0]         => [1,1,0,0,1,1,1,0,1,0,0,0]
[1,0,1,1,1,0,0,0,1,0,1,0]         => [1,1,0,1,1,0,0,1,0,1,0,0]
[1,0,1,1,1,0,0,0,1,1,0,0]         => [1,1,0,1,1,0,0,1,0,0,1,0]
[1,0,1,1,1,0,0,1,0,0,1,0]         => [1,1,0,1,1,0,0,0,1,1,0,0]
[1,0,1,1,1,0,0,1,0,1,0,0]         => [1,1,0,1,1,0,0,0,1,0,1,0]
[1,0,1,1,1,0,0,1,1,0,0,0]         => [1,1,0,1,1,0,0,1,1,0,0,0]
[1,0,1,1,1,0,1,0,0,0,1,0]         => [1,1,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,0,0,1,0,0]         => [1,1,0,1,1,1,0,0,0,0,1,0]
[1,0,1,1,1,0,1,0,1,0,0,0]         => [1,1,0,1,1,1,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,0,0,0]         => [1,1,0,1,1,1,0,0,1,0,0,0]
[1,0,1,1,1,1,0,0,0,0,1,0]         => [1,1,0,1,1,0,1,0,0,1,0,0]
[1,0,1,1,1,1,0,0,0,1,0,0]         => [1,1,0,1,1,0,1,0,0,0,1,0]
[1,0,1,1,1,1,0,0,1,0,0,0]         => [1,1,0,1,1,0,1,1,0,0,0,0]
[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]         => [1,1,0,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0]         => [1,0,1,1,0,1,0,1,0,1,0,0]
[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]         => [1,0,1,1,0,1,0,0,1,0,1,0]
[1,1,0,0,1,0,1,1,1,0,0,0]         => [1,0,1,1,0,1,0,1,1,0,0,0]
[1,1,0,0,1,1,0,0,1,0,1,0]         => [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]         => [1,0,1,1,0,0,1,0,1,1,0,0]
[1,1,0,0,1,1,0,1,0,1,0,0]         => [1,0,1,1,0,0,1,0,1,0,1,0]
[1,1,0,0,1,1,0,1,1,0,0,0]         => [1,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,1,0,0,0,1,0]         => [1,0,1,1,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,0,1,0,0]         => [1,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,0,1,1,1,0,1,0,0,0]         => [1,0,1,1,0,1,1,1,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,0,0]         => [1,0,1,1,0,1,1,0,1,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0]         => [1,0,1,0,1,1,0,1,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,0,0]         => [1,0,1,0,1,1,0,1,0,0,1,0]
[1,1,0,1,0,0,1,1,0,0,1,0]         => [1,0,1,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,0,1,0,0]         => [1,0,1,0,1,1,0,0,1,0,1,0]
[1,1,0,1,0,0,1,1,1,0,0,0]         => [1,0,1,0,1,1,0,1,1,0,0,0]
[1,1,0,1,0,1,0,0,1,0,1,0]         => [1,0,1,0,1,0,1,1,0,1,0,0]
[1,1,0,1,0,1,0,0,1,1,0,0]         => [1,0,1,0,1,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,0,1,0]         => [1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0]         => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,1,0,0,0]         => [1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,0,1,0,1,1,0,0,0,1,0]         => [1,0,1,0,1,1,1,0,0,1,0,0]
[1,1,0,1,0,1,1,0,0,1,0,0]         => [1,0,1,0,1,1,1,0,0,0,1,0]
[1,1,0,1,0,1,1,0,1,0,0,0]         => [1,0,1,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,1,1,1,0,0,0,0]         => [1,0,1,0,1,1,1,0,1,0,0,0]
[1,1,0,1,1,0,0,0,1,0,1,0]         => [1,0,1,1,1,0,0,1,0,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0]         => [1,0,1,1,1,0,0,1,0,0,1,0]
[1,1,0,1,1,0,0,1,0,0,1,0]         => [1,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,0,1,0,0]         => [1,0,1,1,1,0,0,0,1,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,0]         => [1,0,1,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,0]         => [1,0,1,1,1,1,0,0,0,1,0,0]
[1,1,0,1,1,0,1,0,0,1,0,0]         => [1,0,1,1,1,1,0,0,0,0,1,0]
[1,1,0,1,1,0,1,0,1,0,0,0]         => [1,0,1,1,1,1,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,0]         => [1,0,1,1,1,1,0,0,1,0,0,0]
[1,1,0,1,1,1,0,0,0,0,1,0]         => [1,0,1,1,1,0,1,0,0,1,0,0]
[1,1,0,1,1,1,0,0,0,1,0,0]         => [1,0,1,1,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,0,0,1,0,0,0]         => [1,0,1,1,1,0,1,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,0,0]         => [1,0,1,1,1,0,1,0,1,0,0,0]
[1,1,0,1,1,1,1,0,0,0,0,0]         => [1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,0,0,1,0,1,0,1,0]         => [1,1,1,0,0,1,0,1,0,1,0,0]
[1,1,1,0,0,0,1,0,1,1,0,0]         => [1,1,1,0,0,1,0,1,0,0,1,0]
[1,1,1,0,0,0,1,1,0,0,1,0]         => [1,1,1,0,0,1,0,0,1,1,0,0]
[1,1,1,0,0,0,1,1,0,1,0,0]         => [1,1,1,0,0,1,0,0,1,0,1,0]
[1,1,1,0,0,0,1,1,1,0,0,0]         => [1,1,1,0,0,1,0,1,1,0,0,0]
[1,1,1,0,0,1,0,0,1,0,1,0]         => [1,1,1,0,0,0,1,1,0,1,0,0]
[1,1,1,0,0,1,0,0,1,1,0,0]         => [1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,0,1,0,0,1,0]         => [1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,1,0,0,1,0,1,0,1,0,0]         => [1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,1,0,0,1,0,1,1,0,0,0]         => [1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,1,0,0,0,1,0]         => [1,1,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,0,1,1,0,0,1,0,0]         => [1,1,1,0,0,1,1,0,0,0,1,0]
[1,1,1,0,0,1,1,0,1,0,0,0]         => [1,1,1,0,0,1,1,1,0,0,0,0]
[1,1,1,0,0,1,1,1,0,0,0,0]         => [1,1,1,0,0,1,1,0,1,0,0,0]
[1,1,1,0,1,0,0,0,1,0,1,0]         => [1,1,1,1,0,0,0,1,0,1,0,0]
[1,1,1,0,1,0,0,0,1,1,0,0]         => [1,1,1,1,0,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,0]         => [1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,1,0,0]         => [1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,0,1,0,0,1,1,0,0,0]         => [1,1,1,1,0,0,0,1,1,0,0,0]
[1,1,1,0,1,0,1,0,0,0,1,0]         => [1,1,1,1,0,1,0,0,0,1,0,0]
[1,1,1,0,1,0,1,0,0,1,0,0]         => [1,1,1,1,0,1,0,0,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,0,0]         => [1,1,1,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,1,0,0,0,0]         => [1,1,1,1,0,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,0,0,0,1,0]         => [1,1,1,1,0,0,1,0,0,1,0,0]
[1,1,1,0,1,1,0,0,0,1,0,0]         => [1,1,1,1,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,0,0,0]         => [1,1,1,1,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,0]         => [1,1,1,1,0,0,1,0,1,0,0,0]
[1,1,1,0,1,1,1,0,0,0,0,0]         => [1,1,1,1,0,1,1,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,0,1,0]         => [1,1,1,0,1,0,0,1,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,0,0]         => [1,1,1,0,1,0,0,1,0,0,1,0]
[1,1,1,1,0,0,0,1,0,0,1,0]         => [1,1,1,0,1,0,0,0,1,1,0,0]
[1,1,1,1,0,0,0,1,0,1,0,0]         => [1,1,1,0,1,0,0,0,1,0,1,0]
[1,1,1,1,0,0,0,1,1,0,0,0]         => [1,1,1,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,0,0,0,1,0]         => [1,1,1,0,1,1,0,0,0,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0]         => [1,1,1,0,1,1,0,0,0,0,1,0]
[1,1,1,1,0,0,1,0,1,0,0,0]         => [1,1,1,0,1,1,0,1,0,0,0,0]
[1,1,1,1,0,0,1,1,0,0,0,0]         => [1,1,1,0,1,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,0,0,1,0]         => [1,1,1,0,1,0,1,0,0,1,0,0]
[1,1,1,1,0,1,0,0,0,1,0,0]         => [1,1,1,0,1,0,1,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,0]         => [1,1,1,0,1,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,0]         => [1,1,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,1,1,0,0,0,0,0]         => [1,1,1,0,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0]         => [1,1,1,1,1,0,0,0,0,1,0,0]
[1,1,1,1,1,0,0,0,0,1,0,0]         => [1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,0,0,1,0,0,0]         => [1,1,1,1,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,0,0,0]         => [1,1,1,1,1,0,0,0,1,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,0]         => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0]         => [1,1,1,1,1,0,1,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0]     => [1,1,0,1,0,1,0,1,0,1,0,1,0,0]
[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]     => [1,1,0,1,0,1,0,1,0,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0]     => [1,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0]     => [1,1,0,1,0,1,0,0,1,1,0,1,0,0]
[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]     => [1,1,0,1,0,1,0,0,1,0,1,1,0,0]
[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]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0]     => [1,1,0,1,0,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0]     => [1,1,0,1,0,1,0,1,1,0,0,1,0,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0]     => [1,1,0,1,0,1,0,1,1,0,0,0,1,0]
[1,0,1,0,1,0,1,1,1,0,1,0,0,0]     => [1,1,0,1,0,1,0,1,1,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0]     => [1,1,0,1,0,1,0,1,1,0,1,0,0,0]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0]     => [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]     => [1,1,0,1,0,0,1,1,0,0,1,0,1,0]
[1,0,1,0,1,1,0,0,1,1,1,0,0,0]     => [1,1,0,1,0,0,1,1,0,1,1,0,0,0]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0]     => [1,1,0,1,0,0,1,0,1,1,0,1,0,0]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0]     => [1,1,0,1,0,0,1,0,1,1,0,0,1,0]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0]     => [1,1,0,1,0,0,1,0,1,0,1,1,0,0]
[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]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0]     => [1,1,0,1,0,0,1,0,1,1,1,0,0,0]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0]     => [1,1,0,1,0,0,1,1,1,0,0,1,0,0]
[1,0,1,0,1,1,0,1,1,0,0,1,0,0]     => [1,1,0,1,0,0,1,1,1,0,0,0,1,0]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0]     => [1,1,0,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,1,0,1,1,1,0,0,0,0]     => [1,1,0,1,0,0,1,1,1,0,1,0,0,0]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0]     => [1,1,0,1,0,1,1,0,0,1,0,1,0,0]
[1,0,1,0,1,1,1,0,0,0,1,1,0,0]     => [1,1,0,1,0,1,1,0,0,1,0,0,1,0]
[1,0,1,0,1,1,1,0,0,1,0,0,1,0]     => [1,1,0,1,0,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,0,0]     => [1,1,0,1,0,1,1,0,0,0,1,0,1,0]
[1,0,1,0,1,1,1,0,0,1,1,0,0,0]     => [1,1,0,1,0,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0]     => [1,1,0,1,0,1,1,1,0,0,0,1,0,0]
[1,0,1,0,1,1,1,0,1,0,0,1,0,0]     => [1,1,0,1,0,1,1,1,0,0,0,0,1,0]
[1,0,1,0,1,1,1,0,1,0,1,0,0,0]     => [1,1,0,1,0,1,1,1,0,1,0,0,0,0]
[1,0,1,0,1,1,1,0,1,1,0,0,0,0]     => [1,1,0,1,0,1,1,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0]     => [1,1,0,1,0,1,1,0,1,0,0,1,0,0]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0]     => [1,1,0,1,0,1,1,0,1,0,0,0,1,0]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0]     => [1,1,0,1,0,1,1,0,1,1,0,0,0,0]
[1,0,1,0,1,1,1,1,0,1,0,0,0,0]     => [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]     => [1,1,0,1,0,1,1,1,1,0,0,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0]     => [1,1,0,0,1,1,0,1,0,1,0,1,0,0]
[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]     => [1,1,0,0,1,1,0,1,0,0,1,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0]     => [1,1,0,0,1,1,0,1,0,1,1,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0]     => [1,1,0,0,1,1,0,0,1,1,0,1,0,0]
[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]     => [1,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,1,0,1,0,0]     => [1,1,0,0,1,1,0,0,1,0,1,0,1,0]
[1,0,1,1,0,0,1,1,0,1,1,0,0,0]     => [1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,0,0,1,0]     => [1,1,0,0,1,1,0,1,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0]     => [1,1,0,0,1,1,0,1,1,0,0,0,1,0]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0]     => [1,1,0,0,1,1,0,1,1,1,0,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0]     => [1,1,0,0,1,1,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0]     => [1,1,0,0,1,0,1,1,0,1,0,1,0,0]
[1,0,1,1,0,1,0,0,1,0,1,1,0,0]     => [1,1,0,0,1,0,1,1,0,1,0,0,1,0]
[1,0,1,1,0,1,0,0,1,1,0,0,1,0]     => [1,1,0,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,0,1,1,0,1,0,0]     => [1,1,0,0,1,0,1,1,0,0,1,0,1,0]
[1,0,1,1,0,1,0,0,1,1,1,0,0,0]     => [1,1,0,0,1,0,1,1,0,1,1,0,0,0]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0]     => [1,1,0,0,1,0,1,0,1,1,0,1,0,0]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0]     => [1,1,0,0,1,0,1,0,1,1,0,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0]     => [1,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0]     => [1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,1,0,1,0,1,1,0,0,0]     => [1,1,0,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,1,0,1,0,1,1,0,0,0,1,0]     => [1,1,0,0,1,0,1,1,1,0,0,1,0,0]
[1,0,1,1,0,1,0,1,1,0,0,1,0,0]     => [1,1,0,0,1,0,1,1,1,0,0,0,1,0]
[1,0,1,1,0,1,0,1,1,0,1,0,0,0]     => [1,1,0,0,1,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,1,0,1,1,1,0,0,0,0]     => [1,1,0,0,1,0,1,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,0,0,0,1,0,1,0]     => [1,1,0,0,1,1,1,0,0,1,0,1,0,0]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0]     => [1,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0]     => [1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,1,0,0]     => [1,1,0,0,1,1,1,0,0,0,1,0,1,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0]     => [1,1,0,0,1,1,1,0,0,1,1,0,0,0]
[1,0,1,1,0,1,1,0,1,0,0,0,1,0]     => [1,1,0,0,1,1,1,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,0,0,1,0,0]     => [1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,1,0,1,1,0,1,0,1,0,0,0]     => [1,1,0,0,1,1,1,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0]     => [1,1,0,0,1,1,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,0,0,1,0]     => [1,1,0,0,1,1,1,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0]     => [1,1,0,0,1,1,1,0,1,0,0,0,1,0]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0]     => [1,1,0,0,1,1,1,0,1,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0]     => [1,1,0,0,1,1,1,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,0,0]     => [1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0]     => [1,1,0,1,1,0,0,1,0,1,0,1,0,0]
[1,0,1,1,1,0,0,0,1,0,1,1,0,0]     => [1,1,0,1,1,0,0,1,0,1,0,0,1,0]
[1,0,1,1,1,0,0,0,1,1,0,0,1,0]     => [1,1,0,1,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,1,0,0,0,1,1,0,1,0,0]     => [1,1,0,1,1,0,0,1,0,0,1,0,1,0]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0]     => [1,1,0,1,1,0,0,1,0,1,1,0,0,0]
[1,0,1,1,1,0,0,1,0,0,1,0,1,0]     => [1,1,0,1,1,0,0,0,1,1,0,1,0,0]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0]     => [1,1,0,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,1,1,0,0,1,0,1,0,0,1,0]     => [1,1,0,1,1,0,0,0,1,0,1,1,0,0]
[1,0,1,1,1,0,0,1,0,1,0,1,0,0]     => [1,1,0,1,1,0,0,0,1,0,1,0,1,0]
[1,0,1,1,1,0,0,1,0,1,1,0,0,0]     => [1,1,0,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,0,1,1,0,0,0,1,0]     => [1,1,0,1,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,1,0,0,1,1,0,0,1,0,0]     => [1,1,0,1,1,0,0,1,1,0,0,0,1,0]
[1,0,1,1,1,0,0,1,1,0,1,0,0,0]     => [1,1,0,1,1,0,0,1,1,1,0,0,0,0]
[1,0,1,1,1,0,0,1,1,1,0,0,0,0]     => [1,1,0,1,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,0,1,0,1,0]     => [1,1,0,1,1,1,0,0,0,1,0,1,0,0]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0]     => [1,1,0,1,1,1,0,0,0,1,0,0,1,0]
[1,0,1,1,1,0,1,0,0,1,0,0,1,0]     => [1,1,0,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,1,0,1,0,0,1,0,1,0,0]     => [1,1,0,1,1,1,0,0,0,0,1,0,1,0]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0]     => [1,1,0,1,1,1,0,0,0,1,1,0,0,0]
[1,0,1,1,1,0,1,0,1,0,0,0,1,0]     => [1,1,0,1,1,1,0,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,0,1,0,0,1,0,0]     => [1,1,0,1,1,1,0,1,0,0,0,0,1,0]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0]     => [1,1,0,1,1,1,0,1,0,1,0,0,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,0,0]     => [1,1,0,1,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0]     => [1,1,0,1,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,1,0,0,0,1,0,0]     => [1,1,0,1,1,1,0,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,1,0,0,1,0,0,0]     => [1,1,0,1,1,1,0,0,1,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0]     => [1,1,0,1,1,1,0,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,0,0,0,0]     => [1,1,0,1,1,1,0,1,1,0,0,0,0,0]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0]     => [1,1,0,1,1,0,1,0,0,1,0,1,0,0]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0]     => [1,1,0,1,1,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,1,0,0,0,1,0,0,1,0]     => [1,1,0,1,1,0,1,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,0,0,1,0,1,0,0]     => [1,1,0,1,1,0,1,0,0,0,1,0,1,0]
[1,0,1,1,1,1,0,0,0,1,1,0,0,0]     => [1,1,0,1,1,0,1,0,0,1,1,0,0,0]
[1,0,1,1,1,1,0,0,1,0,0,0,1,0]     => [1,1,0,1,1,0,1,1,0,0,0,1,0,0]
[1,0,1,1,1,1,0,0,1,0,0,1,0,0]     => [1,1,0,1,1,0,1,1,0,0,0,0,1,0]
[1,0,1,1,1,1,0,0,1,0,1,0,0,0]     => [1,1,0,1,1,0,1,1,0,1,0,0,0,0]
[1,0,1,1,1,1,0,0,1,1,0,0,0,0]     => [1,1,0,1,1,0,1,1,0,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0]     => [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]     => [1,1,0,1,1,0,1,0,1,0,0,0,1,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0]     => [1,1,0,1,1,0,1,0,1,1,0,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,0,0,0]     => [1,1,0,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,0,1,1,0,0,0,0,0]     => [1,1,0,1,1,0,1,1,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0]     => [1,1,0,1,1,1,1,0,0,0,0,1,0,0]
[1,0,1,1,1,1,1,0,0,0,0,1,0,0]     => [1,1,0,1,1,1,1,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,0,0,0,1,0,0,0]     => [1,1,0,1,1,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,1,1,0,0,1,0,0,0,0]     => [1,1,0,1,1,1,1,0,0,0,1,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0]     => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0]     => [1,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0]     => [1,0,1,1,0,1,0,1,0,1,0,1,0,0]
[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]     => [1,0,1,1,0,1,0,1,0,0,1,0,1,0]
[1,1,0,0,1,0,1,0,1,1,1,0,0,0]     => [1,0,1,1,0,1,0,1,0,1,1,0,0,0]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0]     => [1,0,1,1,0,1,0,0,1,1,0,1,0,0]
[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]     => [1,0,1,1,0,1,0,0,1,0,1,1,0,0]
[1,1,0,0,1,0,1,1,0,1,0,1,0,0]     => [1,0,1,1,0,1,0,0,1,0,1,0,1,0]
[1,1,0,0,1,0,1,1,0,1,1,0,0,0]     => [1,0,1,1,0,1,0,0,1,1,1,0,0,0]
[1,1,0,0,1,0,1,1,1,0,0,0,1,0]     => [1,0,1,1,0,1,0,1,1,0,0,1,0,0]
[1,1,0,0,1,0,1,1,1,0,0,1,0,0]     => [1,0,1,1,0,1,0,1,1,0,0,0,1,0]
[1,1,0,0,1,0,1,1,1,0,1,0,0,0]     => [1,0,1,1,0,1,0,1,1,1,0,0,0,0]
[1,1,0,0,1,0,1,1,1,1,0,0,0,0]     => [1,0,1,1,0,1,0,1,1,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0]     => [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]     => [1,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0]     => [1,0,1,1,0,0,1,1,0,1,1,0,0,0]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0]     => [1,0,1,1,0,0,1,0,1,1,0,1,0,0]
[1,1,0,0,1,1,0,1,0,0,1,1,0,0]     => [1,0,1,1,0,0,1,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,1,0,1,0,0,1,0]     => [1,0,1,1,0,0,1,0,1,0,1,1,0,0]
[1,1,0,0,1,1,0,1,0,1,0,1,0,0]     => [1,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,1,0,1,0,1,1,0,0,0]     => [1,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,0]     => [1,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0]     => [1,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,1,0,0,0]     => [1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,1,0,0,0,0]     => [1,0,1,1,0,0,1,1,1,0,1,0,0,0]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0]     => [1,0,1,1,0,1,1,0,0,1,0,1,0,0]
[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]
[1,1,0,0,1,1,1,0,0,1,0,0,1,0]     => [1,0,1,1,0,1,1,0,0,0,1,1,0,0]
[1,1,0,0,1,1,1,0,0,1,0,1,0,0]     => [1,0,1,1,0,1,1,0,0,0,1,0,1,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,0]     => [1,0,1,1,0,1,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,0,1,0,0,0,1,0]     => [1,0,1,1,0,1,1,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0]     => [1,0,1,1,0,1,1,1,0,0,0,0,1,0]
[1,1,0,0,1,1,1,0,1,0,1,0,0,0]     => [1,0,1,1,0,1,1,1,0,1,0,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,0]     => [1,0,1,1,0,1,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,0]     => [1,0,1,1,0,1,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,0,0,1,0,0]     => [1,0,1,1,0,1,1,0,1,0,0,0,1,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,0]     => [1,0,1,1,0,1,1,0,1,1,0,0,0,0]
[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]     => [1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0]     => [1,0,1,0,1,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,0,1,0,1,0,1,1,0,0]     => [1,0,1,0,1,1,0,1,0,1,0,0,1,0]
[1,1,0,1,0,0,1,0,1,1,0,0,1,0]     => [1,0,1,0,1,1,0,1,0,0,1,1,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0]     => [1,0,1,0,1,1,0,1,0,0,1,0,1,0]
[1,1,0,1,0,0,1,0,1,1,1,0,0,0]     => [1,0,1,0,1,1,0,1,0,1,1,0,0,0]
[1,1,0,1,0,0,1,1,0,0,1,0,1,0]     => [1,0,1,0,1,1,0,0,1,1,0,1,0,0]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0]     => [1,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,0,0,1,0]     => [1,0,1,0,1,1,0,0,1,0,1,1,0,0]
[1,1,0,1,0,0,1,1,0,1,0,1,0,0]     => [1,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0]     => [1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,0,1,1,1,0,0,0,1,0]     => [1,0,1,0,1,1,0,1,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0]     => [1,0,1,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0]     => [1,0,1,0,1,1,0,1,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,0,0,0]     => [1,0,1,0,1,1,0,1,1,0,1,0,0,0]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0]     => [1,0,1,0,1,0,1,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,0,1,0,1,1,0,0]     => [1,0,1,0,1,0,1,1,0,1,0,0,1,0]
[1,1,0,1,0,1,0,0,1,1,0,0,1,0]     => [1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,0,1,1,0,1,0,0]     => [1,0,1,0,1,0,1,1,0,0,1,0,1,0]
[1,1,0,1,0,1,0,0,1,1,1,0,0,0]     => [1,0,1,0,1,0,1,1,0,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0]     => [1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0]     => [1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0]     => [1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0]     => [1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0]     => [1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0]     => [1,0,1,0,1,0,1,1,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,1,0,0,1,0,0]     => [1,0,1,0,1,0,1,1,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,1,0,1,0,0,0]     => [1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,1,1,0,0,0,0]     => [1,0,1,0,1,0,1,1,1,0,1,0,0,0]
[1,1,0,1,0,1,1,0,0,0,1,0,1,0]     => [1,0,1,0,1,1,1,0,0,1,0,1,0,0]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0]     => [1,0,1,0,1,1,1,0,0,1,0,0,1,0]
[1,1,0,1,0,1,1,0,0,1,0,0,1,0]     => [1,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0]     => [1,0,1,0,1,1,1,0,0,0,1,0,1,0]
[1,1,0,1,0,1,1,0,0,1,1,0,0,0]     => [1,0,1,0,1,1,1,0,0,1,1,0,0,0]
[1,1,0,1,0,1,1,0,1,0,0,0,1,0]     => [1,0,1,0,1,1,1,1,0,0,0,1,0,0]
[1,1,0,1,0,1,1,0,1,0,0,1,0,0]     => [1,0,1,0,1,1,1,1,0,0,0,0,1,0]
[1,1,0,1,0,1,1,0,1,0,1,0,0,0]     => [1,0,1,0,1,1,1,1,0,1,0,0,0,0]
[1,1,0,1,0,1,1,0,1,1,0,0,0,0]     => [1,0,1,0,1,1,1,1,0,0,1,0,0,0]
[1,1,0,1,0,1,1,1,0,0,0,0,1,0]     => [1,0,1,0,1,1,1,0,1,0,0,1,0,0]
[1,1,0,1,0,1,1,1,0,0,0,1,0,0]     => [1,0,1,0,1,1,1,0,1,0,0,0,1,0]
[1,1,0,1,0,1,1,1,0,0,1,0,0,0]     => [1,0,1,0,1,1,1,0,1,1,0,0,0,0]
[1,1,0,1,0,1,1,1,0,1,0,0,0,0]     => [1,0,1,0,1,1,1,0,1,0,1,0,0,0]
[1,1,0,1,0,1,1,1,1,0,0,0,0,0]     => [1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0]     => [1,0,1,1,1,0,0,1,0,1,0,1,0,0]
[1,1,0,1,1,0,0,0,1,0,1,1,0,0]     => [1,0,1,1,1,0,0,1,0,1,0,0,1,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,0]     => [1,0,1,1,1,0,0,1,0,0,1,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,0,0]     => [1,0,1,1,1,0,0,1,0,0,1,0,1,0]
[1,1,0,1,1,0,0,0,1,1,1,0,0,0]     => [1,0,1,1,1,0,0,1,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,0,0,1,0,1,0]     => [1,0,1,1,1,0,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0]     => [1,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,1,0,1,0,0,1,0]     => [1,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,0,1,1,0,0,1,0,1,0,1,0,0]     => [1,0,1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,0,1,1,0,0,1,0,1,1,0,0,0]     => [1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,0]     => [1,0,1,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0]     => [1,0,1,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,1,0,0,0]     => [1,0,1,1,1,0,0,1,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,1,0,0,0,0]     => [1,0,1,1,1,0,0,1,1,0,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,0,1,0]     => [1,0,1,1,1,1,0,0,0,1,0,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0]     => [1,0,1,1,1,1,0,0,0,1,0,0,1,0]
[1,1,0,1,1,0,1,0,0,1,0,0,1,0]     => [1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,0,0,1,0,1,0,0]     => [1,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,0,1,1,0,1,0,0,1,1,0,0,0]     => [1,0,1,1,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,0,1,0,0,0,1,0]     => [1,0,1,1,1,1,0,1,0,0,0,1,0,0]
[1,1,0,1,1,0,1,0,1,0,0,1,0,0]     => [1,0,1,1,1,1,0,1,0,0,0,0,1,0]
[1,1,0,1,1,0,1,0,1,0,1,0,0,0]     => [1,0,1,1,1,1,0,1,0,1,0,0,0,0]
[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]
[1,1,0,1,1,0,1,1,0,0,0,0,1,0]     => [1,0,1,1,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,0,0,1,0,0]     => [1,0,1,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,1,0,0,0]     => [1,0,1,1,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0]     => [1,0,1,1,1,1,0,0,1,0,1,0,0,0]
[1,1,0,1,1,0,1,1,1,0,0,0,0,0]     => [1,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,0,0,0,1,0,1,0]     => [1,0,1,1,1,0,1,0,0,1,0,1,0,0]
[1,1,0,1,1,1,0,0,0,0,1,1,0,0]     => [1,0,1,1,1,0,1,0,0,1,0,0,1,0]
[1,1,0,1,1,1,0,0,0,1,0,0,1,0]     => [1,0,1,1,1,0,1,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,0,0,1,0,1,0,0]     => [1,0,1,1,1,0,1,0,0,0,1,0,1,0]
[1,1,0,1,1,1,0,0,0,1,1,0,0,0]     => [1,0,1,1,1,0,1,0,0,1,1,0,0,0]
[1,1,0,1,1,1,0,0,1,0,0,0,1,0]     => [1,0,1,1,1,0,1,1,0,0,0,1,0,0]
[1,1,0,1,1,1,0,0,1,0,0,1,0,0]     => [1,0,1,1,1,0,1,1,0,0,0,0,1,0]
[1,1,0,1,1,1,0,0,1,0,1,0,0,0]     => [1,0,1,1,1,0,1,1,0,1,0,0,0,0]
[1,1,0,1,1,1,0,0,1,1,0,0,0,0]     => [1,0,1,1,1,0,1,1,0,0,1,0,0,0]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0]     => [1,0,1,1,1,0,1,0,1,0,0,1,0,0]
[1,1,0,1,1,1,0,1,0,0,0,1,0,0]     => [1,0,1,1,1,0,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0]     => [1,0,1,1,1,0,1,0,1,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,0,0,0,0]     => [1,0,1,1,1,0,1,0,1,0,1,0,0,0]
[1,1,0,1,1,1,0,1,1,0,0,0,0,0]     => [1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,0,0,0,0,1,0]     => [1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[1,1,0,1,1,1,1,0,0,0,0,1,0,0]     => [1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,0,1,1,1,1,0,0,0,1,0,0,0]     => [1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[1,1,0,1,1,1,1,0,0,1,0,0,0,0]     => [1,0,1,1,1,1,1,0,0,0,1,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,0,0,0]     => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,0,0,0,0]     => [1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0]     => [1,1,1,0,0,1,0,1,0,1,0,1,0,0]
[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]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0]     => [1,1,1,0,0,1,0,1,0,0,1,1,0,0]
[1,1,1,0,0,0,1,0,1,1,0,1,0,0]     => [1,1,1,0,0,1,0,1,0,0,1,0,1,0]
[1,1,1,0,0,0,1,0,1,1,1,0,0,0]     => [1,1,1,0,0,1,0,1,0,1,1,0,0,0]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0]     => [1,1,1,0,0,1,0,0,1,1,0,1,0,0]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0]     => [1,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,0,1,1,0,1,0,0,1,0]     => [1,1,1,0,0,1,0,0,1,0,1,1,0,0]
[1,1,1,0,0,0,1,1,0,1,0,1,0,0]     => [1,1,1,0,0,1,0,0,1,0,1,0,1,0]
[1,1,1,0,0,0,1,1,0,1,1,0,0,0]     => [1,1,1,0,0,1,0,0,1,1,1,0,0,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,0]     => [1,1,1,0,0,1,0,1,1,0,0,1,0,0]
[1,1,1,0,0,0,1,1,1,0,0,1,0,0]     => [1,1,1,0,0,1,0,1,1,0,0,0,1,0]
[1,1,1,0,0,0,1,1,1,0,1,0,0,0]     => [1,1,1,0,0,1,0,1,1,1,0,0,0,0]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0]     => [1,1,1,0,0,1,0,1,1,0,1,0,0,0]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0]     => [1,1,1,0,0,0,1,1,0,1,0,1,0,0]
[1,1,1,0,0,1,0,0,1,0,1,1,0,0]     => [1,1,1,0,0,0,1,1,0,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,0]     => [1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,0,0,1,1,0,1,0,0]     => [1,1,1,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,0]     => [1,1,1,0,0,0,1,1,0,1,1,0,0,0]
[1,1,1,0,0,1,0,1,0,0,1,0,1,0]     => [1,1,1,0,0,0,1,0,1,1,0,1,0,0]
[1,1,1,0,0,1,0,1,0,0,1,1,0,0]     => [1,1,1,0,0,0,1,0,1,1,0,0,1,0]
[1,1,1,0,0,1,0,1,0,1,0,0,1,0]     => [1,1,1,0,0,0,1,0,1,0,1,1,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0]     => [1,1,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,0,0,1,0,1,0,1,1,0,0,0]     => [1,1,1,0,0,0,1,0,1,1,1,0,0,0]
[1,1,1,0,0,1,0,1,1,0,0,0,1,0]     => [1,1,1,0,0,0,1,1,1,0,0,1,0,0]
[1,1,1,0,0,1,0,1,1,0,0,1,0,0]     => [1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,0,1,0,1,1,0,1,0,0,0]     => [1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,0,0,0]     => [1,1,1,0,0,0,1,1,1,0,1,0,0,0]
[1,1,1,0,0,1,1,0,0,0,1,0,1,0]     => [1,1,1,0,0,1,1,0,0,1,0,1,0,0]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0]     => [1,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,0]     => [1,1,1,0,0,1,1,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,1,0,1,0,0]     => [1,1,1,0,0,1,1,0,0,0,1,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0]     => [1,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,1,0,0,0,1,0]     => [1,1,1,0,0,1,1,1,0,0,0,1,0,0]
[1,1,1,0,0,1,1,0,1,0,0,1,0,0]     => [1,1,1,0,0,1,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,1,0,1,0,1,0,0,0]     => [1,1,1,0,0,1,1,1,0,1,0,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,0]     => [1,1,1,0,0,1,1,1,0,0,1,0,0,0]
[1,1,1,0,0,1,1,1,0,0,0,0,1,0]     => [1,1,1,0,0,1,1,0,1,0,0,1,0,0]
[1,1,1,0,0,1,1,1,0,0,0,1,0,0]     => [1,1,1,0,0,1,1,0,1,0,0,0,1,0]
[1,1,1,0,0,1,1,1,0,0,1,0,0,0]     => [1,1,1,0,0,1,1,0,1,1,0,0,0,0]
[1,1,1,0,0,1,1,1,0,1,0,0,0,0]     => [1,1,1,0,0,1,1,0,1,0,1,0,0,0]
[1,1,1,0,0,1,1,1,1,0,0,0,0,0]     => [1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0]     => [1,1,1,1,0,0,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,0,0,1,0,1,1,0,0]     => [1,1,1,1,0,0,0,1,0,1,0,0,1,0]
[1,1,1,0,1,0,0,0,1,1,0,0,1,0]     => [1,1,1,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,0,1,1,0,1,0,0]     => [1,1,1,1,0,0,0,1,0,0,1,0,1,0]
[1,1,1,0,1,0,0,0,1,1,1,0,0,0]     => [1,1,1,1,0,0,0,1,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,0,1,0]     => [1,1,1,1,0,0,0,0,1,1,0,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0]     => [1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,0,0,1,0,1,0,0,1,0]     => [1,1,1,1,0,0,0,0,1,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,0]     => [1,1,1,1,0,0,0,0,1,0,1,0,1,0]
[1,1,1,0,1,0,0,1,0,1,1,0,0,0]     => [1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,0,0,0,1,0]     => [1,1,1,1,0,0,0,1,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,0,0,1,0,0]     => [1,1,1,1,0,0,0,1,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0]     => [1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,0,0]     => [1,1,1,1,0,0,0,1,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0]     => [1,1,1,1,0,1,0,0,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,0,0,1,1,0,0]     => [1,1,1,1,0,1,0,0,0,1,0,0,1,0]
[1,1,1,0,1,0,1,0,0,1,0,0,1,0]     => [1,1,1,1,0,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,0,0,1,0,1,0,0]     => [1,1,1,1,0,1,0,0,0,0,1,0,1,0]
[1,1,1,0,1,0,1,0,0,1,1,0,0,0]     => [1,1,1,1,0,1,0,0,0,1,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0]     => [1,1,1,1,0,1,0,1,0,0,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,0]     => [1,1,1,1,0,1,0,1,0,0,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0]     => [1,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0]     => [1,1,1,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,0,1,0,1,1,0,0,0,0,1,0]     => [1,1,1,1,0,1,0,0,1,0,0,1,0,0]
[1,1,1,0,1,0,1,1,0,0,0,1,0,0]     => [1,1,1,1,0,1,0,0,1,0,0,0,1,0]
[1,1,1,0,1,0,1,1,0,0,1,0,0,0]     => [1,1,1,1,0,1,0,0,1,1,0,0,0,0]
[1,1,1,0,1,0,1,1,0,1,0,0,0,0]     => [1,1,1,1,0,1,0,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,1,1,0,0,0,0,0]     => [1,1,1,1,0,1,0,1,1,0,0,0,0,0]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0]     => [1,1,1,1,0,0,1,0,0,1,0,1,0,0]
[1,1,1,0,1,1,0,0,0,0,1,1,0,0]     => [1,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,0,0,1,0]     => [1,1,1,1,0,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,0,0]     => [1,1,1,1,0,0,1,0,0,0,1,0,1,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,0]     => [1,1,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,0,0,0,1,0]     => [1,1,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,0,0,1,0,0]     => [1,1,1,1,0,0,1,1,0,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,0,1,0,0,0]     => [1,1,1,1,0,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,0]     => [1,1,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,0,1,0]     => [1,1,1,1,0,0,1,0,1,0,0,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0]     => [1,1,1,1,0,0,1,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,1,0,0,0]     => [1,1,1,1,0,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,0,0,0]     => [1,1,1,1,0,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,1,0,1,1,0,0,0,0,0]     => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,0,0,0,0,1,0]     => [1,1,1,1,0,1,1,0,0,0,0,1,0,0]
[1,1,1,0,1,1,1,0,0,0,0,1,0,0]     => [1,1,1,1,0,1,1,0,0,0,0,0,1,0]
[1,1,1,0,1,1,1,0,0,0,1,0,0,0]     => [1,1,1,1,0,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,0,0,0]     => [1,1,1,1,0,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,0,0,0]     => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,0,0]     => [1,1,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0]     => [1,1,1,0,1,0,0,1,0,1,0,1,0,0]
[1,1,1,1,0,0,0,0,1,0,1,1,0,0]     => [1,1,1,0,1,0,0,1,0,1,0,0,1,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,0]     => [1,1,1,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,1,0,0,0,0,1,1,0,1,0,0]     => [1,1,1,0,1,0,0,1,0,0,1,0,1,0]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0]     => [1,1,1,0,1,0,0,1,0,1,1,0,0,0]
[1,1,1,1,0,0,0,1,0,0,1,0,1,0]     => [1,1,1,0,1,0,0,0,1,1,0,1,0,0]
[1,1,1,1,0,0,0,1,0,0,1,1,0,0]     => [1,1,1,0,1,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,0,1,0,1,0,0,1,0]     => [1,1,1,0,1,0,0,0,1,0,1,1,0,0]
[1,1,1,1,0,0,0,1,0,1,0,1,0,0]     => [1,1,1,0,1,0,0,0,1,0,1,0,1,0]
[1,1,1,1,0,0,0,1,0,1,1,0,0,0]     => [1,1,1,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,0,1,1,0,0,0,1,0]     => [1,1,1,0,1,0,0,1,1,0,0,1,0,0]
[1,1,1,1,0,0,0,1,1,0,0,1,0,0]     => [1,1,1,0,1,0,0,1,1,0,0,0,1,0]
[1,1,1,1,0,0,0,1,1,0,1,0,0,0]     => [1,1,1,0,1,0,0,1,1,1,0,0,0,0]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0]     => [1,1,1,0,1,0,0,1,1,0,1,0,0,0]
[1,1,1,1,0,0,1,0,0,0,1,0,1,0]     => [1,1,1,0,1,1,0,0,0,1,0,1,0,0]
[1,1,1,1,0,0,1,0,0,0,1,1,0,0]     => [1,1,1,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,0]     => [1,1,1,0,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,0,0]     => [1,1,1,0,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,0]     => [1,1,1,0,1,1,0,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,0,1,0,0,0,1,0]     => [1,1,1,0,1,1,0,1,0,0,0,1,0,0]
[1,1,1,1,0,0,1,0,1,0,0,1,0,0]     => [1,1,1,0,1,1,0,1,0,0,0,0,1,0]
[1,1,1,1,0,0,1,0,1,0,1,0,0,0]     => [1,1,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,1,0,0,0,0]     => [1,1,1,0,1,1,0,1,0,0,1,0,0,0]
[1,1,1,1,0,0,1,1,0,0,0,0,1,0]     => [1,1,1,0,1,1,0,0,1,0,0,1,0,0]
[1,1,1,1,0,0,1,1,0,0,0,1,0,0]     => [1,1,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,1,0,0,0]     => [1,1,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,1,0,1,0,0,0,0]     => [1,1,1,0,1,1,0,0,1,0,1,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,0,0,0]     => [1,1,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0]     => [1,1,1,0,1,0,1,0,0,1,0,1,0,0]
[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]     => [1,1,1,0,1,0,1,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,0,1,0,1,0,0]     => [1,1,1,0,1,0,1,0,0,0,1,0,1,0]
[1,1,1,1,0,1,0,0,0,1,1,0,0,0]     => [1,1,1,0,1,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,0,1,0]     => [1,1,1,0,1,0,1,1,0,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0]     => [1,1,1,0,1,0,1,1,0,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,1,0,0,0]     => [1,1,1,0,1,0,1,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,0,0,0]     => [1,1,1,0,1,0,1,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,0]     => [1,1,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,1,1,0,1,0,1,0,0,0,1,0,0]     => [1,1,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,1,1,0,1,0,1,0,0,1,0,0,0]     => [1,1,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0]     => [1,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,1,0,1,1,0,0,0,0,0]     => [1,1,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,0,0,0,0,1,0]     => [1,1,1,0,1,1,1,0,0,0,0,1,0,0]
[1,1,1,1,0,1,1,0,0,0,0,1,0,0]     => [1,1,1,0,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,0,1,1,0,0,0,1,0,0,0]     => [1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[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]     => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,0,0,0,0,0]     => [1,1,1,0,1,1,1,0,1,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0]     => [1,1,1,1,1,0,0,0,0,1,0,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0]     => [1,1,1,1,1,0,0,0,0,1,0,0,1,0]
[1,1,1,1,1,0,0,0,0,1,0,0,1,0]     => [1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0]     => [1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[1,1,1,1,1,0,0,0,0,1,1,0,0,0]     => [1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0]     => [1,1,1,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0]     => [1,1,1,1,1,0,0,1,0,0,0,0,1,0]
[1,1,1,1,1,0,0,0,1,0,1,0,0,0]     => [1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,0,0,0]     => [1,1,1,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0]     => [1,1,1,1,1,0,0,0,1,0,0,1,0,0]
[1,1,1,1,1,0,0,1,0,0,0,1,0,0]     => [1,1,1,1,1,0,0,0,1,0,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,0]     => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,0,0,0]     => [1,1,1,1,1,0,0,0,1,0,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,0,0]     => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0]     => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,1,1,1,1,0,1,0,0,0,0,1,0,0]     => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,1,0,1,0,0,0,1,0,0,0]     => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,0,0]     => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,1,1,1,1,0,1,0,1,0,0,0,0,0]     => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0]     => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0]     => [1,1,1,1,1,0,1,0,0,0,0,1,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0]     => [1,1,1,1,1,0,1,0,0,0,0,0,1,0]
[1,1,1,1,1,1,0,0,0,0,1,0,0,0]     => [1,1,1,1,1,0,1,0,0,1,0,0,0,0]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0]     => [1,1,1,1,1,0,1,0,0,0,1,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0]     => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0]     => [1,1,1,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0]     => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[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] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[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] => [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [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] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]
[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0]
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0]
[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0]
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0]
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [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] => [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]
[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] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0]
[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0]
[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] => [1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0]
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0]
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0]
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]
[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0]
[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]
[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0]
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0]
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0]
[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0]
[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]
[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0]
[1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0]
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0]
[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0]
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]
[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0]
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0]
[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0]
[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0]
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0]
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0]
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]
[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0]
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0]
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0]
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0]
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0]
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0]
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0]
[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0]
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0]
[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [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] => [1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0]
[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0]
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]
[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0]
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [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] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0]
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0]
[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] => [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]
[1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]
[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] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0]
[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0]
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]
[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] => [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0]
[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0]
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]
[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0]
[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]
[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0]
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]
[1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]
[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0]
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0]
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0]
[1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0]
[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0]
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0]
[1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]
[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]
[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0]
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]
[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0]
[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0]
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0]
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0]
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0]
[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0]
[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0]
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0]
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]
[1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0]
[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0]
[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0]
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0]
[1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0]
[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0]
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0]
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]
[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]
[1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0]
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0]
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0]
[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]
[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0]
[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0]
[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]
[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]
[1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0]
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0]
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0]
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0]
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]
[1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0]
[1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0]
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0]
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0]
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0]
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0]
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0]
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0]
[1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]
[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0]
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0]
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0]
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0]
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0]
[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0]
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0]
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0]
[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0]
[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0]
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0]
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0]
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]
[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0]
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0]
[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]
[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0]
[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0]
[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] => [1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0]
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0]
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0]
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0]
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]
[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0]
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [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] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0]
[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]
[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]
[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]
[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0]
[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]
[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0]
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0]
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [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] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0]
[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] => [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]
[1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]
[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0]
[1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0]
[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => [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] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0]
[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0]
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]
[1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0]
[1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]
[1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]
[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0]
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0]
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0]
[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0]
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0]
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0]
[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0]
[1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0]
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0]
[1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0]
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0]
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0]
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]
[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] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]
[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]
[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] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]
[1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0]
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]
[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]
[1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0]
[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0]
[1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0]
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0]
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]
[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0]
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => [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] => [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]
[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0]
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]
[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0]
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]

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Created: May 05, 2021 at 18:09 by Martin Rubey

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Last Updated: Oct 14, 2024 at 22:53 by Nadia Lafreniere