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*       Copyright (C) 2019 The FindStatCrew <info@findstat.org>             *
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-----------------------------------------------------------------------------
Statistic identifier: St001032

-----------------------------------------------------------------------------
Collection: Dyck paths

-----------------------------------------------------------------------------
Description: The number of horizontal steps in the bicoloured Motzkin path associated with the Dyck path.

In other words, this is the number of valleys and peaks whose first step is in odd position, the initial position equal to 1.

The generating function is given in [1].

-----------------------------------------------------------------------------
References: [1]   Triangle read by rows: T(n,k) is the number of 2-Motzkin paths (i.e., Motzkin paths with blue and red level steps) without red level steps on the x-axis, having length n and k level steps (0 <= k <= n). [[OEIS:A126222]]

-----------------------------------------------------------------------------
Code:
def statistic(D):
    return len([1 for i in range(D.semilength()) if D[2*i] != D[2*i+1]])


-----------------------------------------------------------------------------
Statistic values:

[1,0,1,0]                         => 2
[1,1,0,0]                         => 0
[1,0,1,0,1,0]                     => 3
[1,0,1,1,0,0]                     => 1
[1,1,0,0,1,0]                     => 1
[1,1,0,1,0,0]                     => 1
[1,1,1,0,0,0]                     => 1
[1,0,1,0,1,0,1,0]                 => 4
[1,0,1,0,1,1,0,0]                 => 2
[1,0,1,1,0,0,1,0]                 => 2
[1,0,1,1,0,1,0,0]                 => 2
[1,0,1,1,1,0,0,0]                 => 2
[1,1,0,0,1,0,1,0]                 => 2
[1,1,0,0,1,1,0,0]                 => 0
[1,1,0,1,0,0,1,0]                 => 2
[1,1,0,1,0,1,0,0]                 => 2
[1,1,0,1,1,0,0,0]                 => 2
[1,1,1,0,0,0,1,0]                 => 2
[1,1,1,0,0,1,0,0]                 => 2
[1,1,1,0,1,0,0,0]                 => 2
[1,1,1,1,0,0,0,0]                 => 0
[1,0,1,0,1,0,1,0,1,0]             => 5
[1,0,1,0,1,0,1,1,0,0]             => 3
[1,0,1,0,1,1,0,0,1,0]             => 3
[1,0,1,0,1,1,0,1,0,0]             => 3
[1,0,1,0,1,1,1,0,0,0]             => 3
[1,0,1,1,0,0,1,0,1,0]             => 3
[1,0,1,1,0,0,1,1,0,0]             => 1
[1,0,1,1,0,1,0,0,1,0]             => 3
[1,0,1,1,0,1,0,1,0,0]             => 3
[1,0,1,1,0,1,1,0,0,0]             => 3
[1,0,1,1,1,0,0,0,1,0]             => 3
[1,0,1,1,1,0,0,1,0,0]             => 3
[1,0,1,1,1,0,1,0,0,0]             => 3
[1,0,1,1,1,1,0,0,0,0]             => 1
[1,1,0,0,1,0,1,0,1,0]             => 3
[1,1,0,0,1,0,1,1,0,0]             => 1
[1,1,0,0,1,1,0,0,1,0]             => 1
[1,1,0,0,1,1,0,1,0,0]             => 1
[1,1,0,0,1,1,1,0,0,0]             => 1
[1,1,0,1,0,0,1,0,1,0]             => 3
[1,1,0,1,0,0,1,1,0,0]             => 1
[1,1,0,1,0,1,0,0,1,0]             => 3
[1,1,0,1,0,1,0,1,0,0]             => 3
[1,1,0,1,0,1,1,0,0,0]             => 3
[1,1,0,1,1,0,0,0,1,0]             => 3
[1,1,0,1,1,0,0,1,0,0]             => 3
[1,1,0,1,1,0,1,0,0,0]             => 3
[1,1,0,1,1,1,0,0,0,0]             => 1
[1,1,1,0,0,0,1,0,1,0]             => 3
[1,1,1,0,0,0,1,1,0,0]             => 1
[1,1,1,0,0,1,0,0,1,0]             => 3
[1,1,1,0,0,1,0,1,0,0]             => 3
[1,1,1,0,0,1,1,0,0,0]             => 3
[1,1,1,0,1,0,0,0,1,0]             => 3
[1,1,1,0,1,0,0,1,0,0]             => 3
[1,1,1,0,1,0,1,0,0,0]             => 3
[1,1,1,0,1,1,0,0,0,0]             => 1
[1,1,1,1,0,0,0,0,1,0]             => 1
[1,1,1,1,0,0,0,1,0,0]             => 1
[1,1,1,1,0,0,1,0,0,0]             => 1
[1,1,1,1,0,1,0,0,0,0]             => 1
[1,1,1,1,1,0,0,0,0,0]             => 1
[1,0,1,0,1,0,1,0,1,0,1,0]         => 6
[1,0,1,0,1,0,1,0,1,1,0,0]         => 4
[1,0,1,0,1,0,1,1,0,0,1,0]         => 4
[1,0,1,0,1,0,1,1,0,1,0,0]         => 4
[1,0,1,0,1,0,1,1,1,0,0,0]         => 4
[1,0,1,0,1,1,0,0,1,0,1,0]         => 4
[1,0,1,0,1,1,0,0,1,1,0,0]         => 2
[1,0,1,0,1,1,0,1,0,0,1,0]         => 4
[1,0,1,0,1,1,0,1,0,1,0,0]         => 4
[1,0,1,0,1,1,0,1,1,0,0,0]         => 4
[1,0,1,0,1,1,1,0,0,0,1,0]         => 4
[1,0,1,0,1,1,1,0,0,1,0,0]         => 4
[1,0,1,0,1,1,1,0,1,0,0,0]         => 4
[1,0,1,0,1,1,1,1,0,0,0,0]         => 2
[1,0,1,1,0,0,1,0,1,0,1,0]         => 4
[1,0,1,1,0,0,1,0,1,1,0,0]         => 2
[1,0,1,1,0,0,1,1,0,0,1,0]         => 2
[1,0,1,1,0,0,1,1,0,1,0,0]         => 2
[1,0,1,1,0,0,1,1,1,0,0,0]         => 2
[1,0,1,1,0,1,0,0,1,0,1,0]         => 4
[1,0,1,1,0,1,0,0,1,1,0,0]         => 2
[1,0,1,1,0,1,0,1,0,0,1,0]         => 4
[1,0,1,1,0,1,0,1,0,1,0,0]         => 4
[1,0,1,1,0,1,0,1,1,0,0,0]         => 4
[1,0,1,1,0,1,1,0,0,0,1,0]         => 4
[1,0,1,1,0,1,1,0,0,1,0,0]         => 4
[1,0,1,1,0,1,1,0,1,0,0,0]         => 4
[1,0,1,1,0,1,1,1,0,0,0,0]         => 2
[1,0,1,1,1,0,0,0,1,0,1,0]         => 4
[1,0,1,1,1,0,0,0,1,1,0,0]         => 2
[1,0,1,1,1,0,0,1,0,0,1,0]         => 4
[1,0,1,1,1,0,0,1,0,1,0,0]         => 4
[1,0,1,1,1,0,0,1,1,0,0,0]         => 4
[1,0,1,1,1,0,1,0,0,0,1,0]         => 4
[1,0,1,1,1,0,1,0,0,1,0,0]         => 4
[1,0,1,1,1,0,1,0,1,0,0,0]         => 4
[1,0,1,1,1,0,1,1,0,0,0,0]         => 2
[1,0,1,1,1,1,0,0,0,0,1,0]         => 2
[1,0,1,1,1,1,0,0,0,1,0,0]         => 2
[1,0,1,1,1,1,0,0,1,0,0,0]         => 2
[1,0,1,1,1,1,0,1,0,0,0,0]         => 2
[1,0,1,1,1,1,1,0,0,0,0,0]         => 2
[1,1,0,0,1,0,1,0,1,0,1,0]         => 4
[1,1,0,0,1,0,1,0,1,1,0,0]         => 2
[1,1,0,0,1,0,1,1,0,0,1,0]         => 2
[1,1,0,0,1,0,1,1,0,1,0,0]         => 2
[1,1,0,0,1,0,1,1,1,0,0,0]         => 2
[1,1,0,0,1,1,0,0,1,0,1,0]         => 2
[1,1,0,0,1,1,0,0,1,1,0,0]         => 0
[1,1,0,0,1,1,0,1,0,0,1,0]         => 2
[1,1,0,0,1,1,0,1,0,1,0,0]         => 2
[1,1,0,0,1,1,0,1,1,0,0,0]         => 2
[1,1,0,0,1,1,1,0,0,0,1,0]         => 2
[1,1,0,0,1,1,1,0,0,1,0,0]         => 2
[1,1,0,0,1,1,1,0,1,0,0,0]         => 2
[1,1,0,0,1,1,1,1,0,0,0,0]         => 0
[1,1,0,1,0,0,1,0,1,0,1,0]         => 4
[1,1,0,1,0,0,1,0,1,1,0,0]         => 2
[1,1,0,1,0,0,1,1,0,0,1,0]         => 2
[1,1,0,1,0,0,1,1,0,1,0,0]         => 2
[1,1,0,1,0,0,1,1,1,0,0,0]         => 2
[1,1,0,1,0,1,0,0,1,0,1,0]         => 4
[1,1,0,1,0,1,0,0,1,1,0,0]         => 2
[1,1,0,1,0,1,0,1,0,0,1,0]         => 4
[1,1,0,1,0,1,0,1,0,1,0,0]         => 4
[1,1,0,1,0,1,0,1,1,0,0,0]         => 4
[1,1,0,1,0,1,1,0,0,0,1,0]         => 4
[1,1,0,1,0,1,1,0,0,1,0,0]         => 4
[1,1,0,1,0,1,1,0,1,0,0,0]         => 4
[1,1,0,1,0,1,1,1,0,0,0,0]         => 2
[1,1,0,1,1,0,0,0,1,0,1,0]         => 4
[1,1,0,1,1,0,0,0,1,1,0,0]         => 2
[1,1,0,1,1,0,0,1,0,0,1,0]         => 4
[1,1,0,1,1,0,0,1,0,1,0,0]         => 4
[1,1,0,1,1,0,0,1,1,0,0,0]         => 4
[1,1,0,1,1,0,1,0,0,0,1,0]         => 4
[1,1,0,1,1,0,1,0,0,1,0,0]         => 4
[1,1,0,1,1,0,1,0,1,0,0,0]         => 4
[1,1,0,1,1,0,1,1,0,0,0,0]         => 2
[1,1,0,1,1,1,0,0,0,0,1,0]         => 2
[1,1,0,1,1,1,0,0,0,1,0,0]         => 2
[1,1,0,1,1,1,0,0,1,0,0,0]         => 2
[1,1,0,1,1,1,0,1,0,0,0,0]         => 2
[1,1,0,1,1,1,1,0,0,0,0,0]         => 2
[1,1,1,0,0,0,1,0,1,0,1,0]         => 4
[1,1,1,0,0,0,1,0,1,1,0,0]         => 2
[1,1,1,0,0,0,1,1,0,0,1,0]         => 2
[1,1,1,0,0,0,1,1,0,1,0,0]         => 2
[1,1,1,0,0,0,1,1,1,0,0,0]         => 2
[1,1,1,0,0,1,0,0,1,0,1,0]         => 4
[1,1,1,0,0,1,0,0,1,1,0,0]         => 2
[1,1,1,0,0,1,0,1,0,0,1,0]         => 4
[1,1,1,0,0,1,0,1,0,1,0,0]         => 4
[1,1,1,0,0,1,0,1,1,0,0,0]         => 4
[1,1,1,0,0,1,1,0,0,0,1,0]         => 4
[1,1,1,0,0,1,1,0,0,1,0,0]         => 4
[1,1,1,0,0,1,1,0,1,0,0,0]         => 4
[1,1,1,0,0,1,1,1,0,0,0,0]         => 2
[1,1,1,0,1,0,0,0,1,0,1,0]         => 4
[1,1,1,0,1,0,0,0,1,1,0,0]         => 2
[1,1,1,0,1,0,0,1,0,0,1,0]         => 4
[1,1,1,0,1,0,0,1,0,1,0,0]         => 4
[1,1,1,0,1,0,0,1,1,0,0,0]         => 4
[1,1,1,0,1,0,1,0,0,0,1,0]         => 4
[1,1,1,0,1,0,1,0,0,1,0,0]         => 4
[1,1,1,0,1,0,1,0,1,0,0,0]         => 4
[1,1,1,0,1,0,1,1,0,0,0,0]         => 2
[1,1,1,0,1,1,0,0,0,0,1,0]         => 2
[1,1,1,0,1,1,0,0,0,1,0,0]         => 2
[1,1,1,0,1,1,0,0,1,0,0,0]         => 2
[1,1,1,0,1,1,0,1,0,0,0,0]         => 2
[1,1,1,0,1,1,1,0,0,0,0,0]         => 2
[1,1,1,1,0,0,0,0,1,0,1,0]         => 2
[1,1,1,1,0,0,0,0,1,1,0,0]         => 0
[1,1,1,1,0,0,0,1,0,0,1,0]         => 2
[1,1,1,1,0,0,0,1,0,1,0,0]         => 2
[1,1,1,1,0,0,0,1,1,0,0,0]         => 2
[1,1,1,1,0,0,1,0,0,0,1,0]         => 2
[1,1,1,1,0,0,1,0,0,1,0,0]         => 2
[1,1,1,1,0,0,1,0,1,0,0,0]         => 2
[1,1,1,1,0,0,1,1,0,0,0,0]         => 0
[1,1,1,1,0,1,0,0,0,0,1,0]         => 2
[1,1,1,1,0,1,0,0,0,1,0,0]         => 2
[1,1,1,1,0,1,0,0,1,0,0,0]         => 2
[1,1,1,1,0,1,0,1,0,0,0,0]         => 2
[1,1,1,1,0,1,1,0,0,0,0,0]         => 2
[1,1,1,1,1,0,0,0,0,0,1,0]         => 2
[1,1,1,1,1,0,0,0,0,1,0,0]         => 2
[1,1,1,1,1,0,0,0,1,0,0,0]         => 2
[1,1,1,1,1,0,0,1,0,0,0,0]         => 2
[1,1,1,1,1,0,1,0,0,0,0,0]         => 2
[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]     => 7
[1,0,1,0,1,0,1,0,1,0,1,1,0,0]     => 5
[1,0,1,0,1,0,1,0,1,1,0,0,1,0]     => 5
[1,0,1,0,1,0,1,0,1,1,0,1,0,0]     => 5
[1,0,1,0,1,0,1,0,1,1,1,0,0,0]     => 5
[1,0,1,0,1,0,1,1,0,0,1,0,1,0]     => 5
[1,0,1,0,1,0,1,1,0,0,1,1,0,0]     => 3
[1,0,1,0,1,0,1,1,0,1,0,0,1,0]     => 5
[1,0,1,0,1,0,1,1,0,1,0,1,0,0]     => 5
[1,0,1,0,1,0,1,1,0,1,1,0,0,0]     => 5
[1,0,1,0,1,0,1,1,1,0,0,0,1,0]     => 5
[1,0,1,0,1,0,1,1,1,0,0,1,0,0]     => 5
[1,0,1,0,1,0,1,1,1,0,1,0,0,0]     => 5
[1,0,1,0,1,0,1,1,1,1,0,0,0,0]     => 3
[1,0,1,0,1,1,0,0,1,0,1,0,1,0]     => 5
[1,0,1,0,1,1,0,0,1,0,1,1,0,0]     => 3
[1,0,1,0,1,1,0,0,1,1,0,0,1,0]     => 3
[1,0,1,0,1,1,0,0,1,1,0,1,0,0]     => 3
[1,0,1,0,1,1,0,0,1,1,1,0,0,0]     => 3
[1,0,1,0,1,1,0,1,0,0,1,0,1,0]     => 5
[1,0,1,0,1,1,0,1,0,0,1,1,0,0]     => 3
[1,0,1,0,1,1,0,1,0,1,0,0,1,0]     => 5
[1,0,1,0,1,1,0,1,0,1,0,1,0,0]     => 5
[1,0,1,0,1,1,0,1,0,1,1,0,0,0]     => 5
[1,0,1,0,1,1,0,1,1,0,0,0,1,0]     => 5
[1,0,1,0,1,1,0,1,1,0,0,1,0,0]     => 5
[1,0,1,0,1,1,0,1,1,0,1,0,0,0]     => 5
[1,0,1,0,1,1,0,1,1,1,0,0,0,0]     => 3
[1,0,1,0,1,1,1,0,0,0,1,0,1,0]     => 5
[1,0,1,0,1,1,1,0,0,0,1,1,0,0]     => 3
[1,0,1,0,1,1,1,0,0,1,0,0,1,0]     => 5
[1,0,1,0,1,1,1,0,0,1,0,1,0,0]     => 5
[1,0,1,0,1,1,1,0,0,1,1,0,0,0]     => 5
[1,0,1,0,1,1,1,0,1,0,0,0,1,0]     => 5
[1,0,1,0,1,1,1,0,1,0,0,1,0,0]     => 5
[1,0,1,0,1,1,1,0,1,0,1,0,0,0]     => 5
[1,0,1,0,1,1,1,0,1,1,0,0,0,0]     => 3
[1,0,1,0,1,1,1,1,0,0,0,0,1,0]     => 3
[1,0,1,0,1,1,1,1,0,0,0,1,0,0]     => 3
[1,0,1,0,1,1,1,1,0,0,1,0,0,0]     => 3
[1,0,1,0,1,1,1,1,0,1,0,0,0,0]     => 3
[1,0,1,0,1,1,1,1,1,0,0,0,0,0]     => 3
[1,0,1,1,0,0,1,0,1,0,1,0,1,0]     => 5
[1,0,1,1,0,0,1,0,1,0,1,1,0,0]     => 3
[1,0,1,1,0,0,1,0,1,1,0,0,1,0]     => 3
[1,0,1,1,0,0,1,0,1,1,0,1,0,0]     => 3
[1,0,1,1,0,0,1,0,1,1,1,0,0,0]     => 3
[1,0,1,1,0,0,1,1,0,0,1,0,1,0]     => 3
[1,0,1,1,0,0,1,1,0,0,1,1,0,0]     => 1
[1,0,1,1,0,0,1,1,0,1,0,0,1,0]     => 3
[1,0,1,1,0,0,1,1,0,1,0,1,0,0]     => 3
[1,0,1,1,0,0,1,1,0,1,1,0,0,0]     => 3
[1,0,1,1,0,0,1,1,1,0,0,0,1,0]     => 3
[1,0,1,1,0,0,1,1,1,0,0,1,0,0]     => 3
[1,0,1,1,0,0,1,1,1,0,1,0,0,0]     => 3
[1,0,1,1,0,0,1,1,1,1,0,0,0,0]     => 1
[1,0,1,1,0,1,0,0,1,0,1,0,1,0]     => 5
[1,0,1,1,0,1,0,0,1,0,1,1,0,0]     => 3
[1,0,1,1,0,1,0,0,1,1,0,0,1,0]     => 3
[1,0,1,1,0,1,0,0,1,1,0,1,0,0]     => 3
[1,0,1,1,0,1,0,0,1,1,1,0,0,0]     => 3
[1,0,1,1,0,1,0,1,0,0,1,0,1,0]     => 5
[1,0,1,1,0,1,0,1,0,0,1,1,0,0]     => 3
[1,0,1,1,0,1,0,1,0,1,0,0,1,0]     => 5
[1,0,1,1,0,1,0,1,0,1,0,1,0,0]     => 5
[1,0,1,1,0,1,0,1,0,1,1,0,0,0]     => 5
[1,0,1,1,0,1,0,1,1,0,0,0,1,0]     => 5
[1,0,1,1,0,1,0,1,1,0,0,1,0,0]     => 5
[1,0,1,1,0,1,0,1,1,0,1,0,0,0]     => 5
[1,0,1,1,0,1,0,1,1,1,0,0,0,0]     => 3
[1,0,1,1,0,1,1,0,0,0,1,0,1,0]     => 5
[1,0,1,1,0,1,1,0,0,0,1,1,0,0]     => 3
[1,0,1,1,0,1,1,0,0,1,0,0,1,0]     => 5
[1,0,1,1,0,1,1,0,0,1,0,1,0,0]     => 5
[1,0,1,1,0,1,1,0,0,1,1,0,0,0]     => 5
[1,0,1,1,0,1,1,0,1,0,0,0,1,0]     => 5
[1,0,1,1,0,1,1,0,1,0,0,1,0,0]     => 5
[1,0,1,1,0,1,1,0,1,0,1,0,0,0]     => 5
[1,0,1,1,0,1,1,0,1,1,0,0,0,0]     => 3
[1,0,1,1,0,1,1,1,0,0,0,0,1,0]     => 3
[1,0,1,1,0,1,1,1,0,0,0,1,0,0]     => 3
[1,0,1,1,0,1,1,1,0,0,1,0,0,0]     => 3
[1,0,1,1,0,1,1,1,0,1,0,0,0,0]     => 3
[1,0,1,1,0,1,1,1,1,0,0,0,0,0]     => 3
[1,0,1,1,1,0,0,0,1,0,1,0,1,0]     => 5
[1,0,1,1,1,0,0,0,1,0,1,1,0,0]     => 3
[1,0,1,1,1,0,0,0,1,1,0,0,1,0]     => 3
[1,0,1,1,1,0,0,0,1,1,0,1,0,0]     => 3
[1,0,1,1,1,0,0,0,1,1,1,0,0,0]     => 3
[1,0,1,1,1,0,0,1,0,0,1,0,1,0]     => 5
[1,0,1,1,1,0,0,1,0,0,1,1,0,0]     => 3
[1,0,1,1,1,0,0,1,0,1,0,0,1,0]     => 5
[1,0,1,1,1,0,0,1,0,1,0,1,0,0]     => 5
[1,0,1,1,1,0,0,1,0,1,1,0,0,0]     => 5
[1,0,1,1,1,0,0,1,1,0,0,0,1,0]     => 5
[1,0,1,1,1,0,0,1,1,0,0,1,0,0]     => 5
[1,0,1,1,1,0,0,1,1,0,1,0,0,0]     => 5
[1,0,1,1,1,0,0,1,1,1,0,0,0,0]     => 3
[1,0,1,1,1,0,1,0,0,0,1,0,1,0]     => 5
[1,0,1,1,1,0,1,0,0,0,1,1,0,0]     => 3
[1,0,1,1,1,0,1,0,0,1,0,0,1,0]     => 5
[1,0,1,1,1,0,1,0,0,1,0,1,0,0]     => 5
[1,0,1,1,1,0,1,0,0,1,1,0,0,0]     => 5
[1,0,1,1,1,0,1,0,1,0,0,0,1,0]     => 5
[1,0,1,1,1,0,1,0,1,0,0,1,0,0]     => 5
[1,0,1,1,1,0,1,0,1,0,1,0,0,0]     => 5
[1,0,1,1,1,0,1,0,1,1,0,0,0,0]     => 3
[1,0,1,1,1,0,1,1,0,0,0,0,1,0]     => 3
[1,0,1,1,1,0,1,1,0,0,0,1,0,0]     => 3
[1,0,1,1,1,0,1,1,0,0,1,0,0,0]     => 3
[1,0,1,1,1,0,1,1,0,1,0,0,0,0]     => 3
[1,0,1,1,1,0,1,1,1,0,0,0,0,0]     => 3
[1,0,1,1,1,1,0,0,0,0,1,0,1,0]     => 3
[1,0,1,1,1,1,0,0,0,0,1,1,0,0]     => 1
[1,0,1,1,1,1,0,0,0,1,0,0,1,0]     => 3
[1,0,1,1,1,1,0,0,0,1,0,1,0,0]     => 3
[1,0,1,1,1,1,0,0,0,1,1,0,0,0]     => 3
[1,0,1,1,1,1,0,0,1,0,0,0,1,0]     => 3
[1,0,1,1,1,1,0,0,1,0,0,1,0,0]     => 3
[1,0,1,1,1,1,0,0,1,0,1,0,0,0]     => 3
[1,0,1,1,1,1,0,0,1,1,0,0,0,0]     => 1
[1,0,1,1,1,1,0,1,0,0,0,0,1,0]     => 3
[1,0,1,1,1,1,0,1,0,0,0,1,0,0]     => 3
[1,0,1,1,1,1,0,1,0,0,1,0,0,0]     => 3
[1,0,1,1,1,1,0,1,0,1,0,0,0,0]     => 3
[1,0,1,1,1,1,0,1,1,0,0,0,0,0]     => 3
[1,0,1,1,1,1,1,0,0,0,0,0,1,0]     => 3
[1,0,1,1,1,1,1,0,0,0,0,1,0,0]     => 3
[1,0,1,1,1,1,1,0,0,0,1,0,0,0]     => 3
[1,0,1,1,1,1,1,0,0,1,0,0,0,0]     => 3
[1,0,1,1,1,1,1,0,1,0,0,0,0,0]     => 3
[1,0,1,1,1,1,1,1,0,0,0,0,0,0]     => 1
[1,1,0,0,1,0,1,0,1,0,1,0,1,0]     => 5
[1,1,0,0,1,0,1,0,1,0,1,1,0,0]     => 3
[1,1,0,0,1,0,1,0,1,1,0,0,1,0]     => 3
[1,1,0,0,1,0,1,0,1,1,0,1,0,0]     => 3
[1,1,0,0,1,0,1,0,1,1,1,0,0,0]     => 3
[1,1,0,0,1,0,1,1,0,0,1,0,1,0]     => 3
[1,1,0,0,1,0,1,1,0,0,1,1,0,0]     => 1
[1,1,0,0,1,0,1,1,0,1,0,0,1,0]     => 3
[1,1,0,0,1,0,1,1,0,1,0,1,0,0]     => 3
[1,1,0,0,1,0,1,1,0,1,1,0,0,0]     => 3
[1,1,0,0,1,0,1,1,1,0,0,0,1,0]     => 3
[1,1,0,0,1,0,1,1,1,0,0,1,0,0]     => 3
[1,1,0,0,1,0,1,1,1,0,1,0,0,0]     => 3
[1,1,0,0,1,0,1,1,1,1,0,0,0,0]     => 1
[1,1,0,0,1,1,0,0,1,0,1,0,1,0]     => 3
[1,1,0,0,1,1,0,0,1,0,1,1,0,0]     => 1
[1,1,0,0,1,1,0,0,1,1,0,0,1,0]     => 1
[1,1,0,0,1,1,0,0,1,1,0,1,0,0]     => 1
[1,1,0,0,1,1,0,0,1,1,1,0,0,0]     => 1
[1,1,0,0,1,1,0,1,0,0,1,0,1,0]     => 3
[1,1,0,0,1,1,0,1,0,0,1,1,0,0]     => 1
[1,1,0,0,1,1,0,1,0,1,0,0,1,0]     => 3
[1,1,0,0,1,1,0,1,0,1,0,1,0,0]     => 3
[1,1,0,0,1,1,0,1,0,1,1,0,0,0]     => 3
[1,1,0,0,1,1,0,1,1,0,0,0,1,0]     => 3
[1,1,0,0,1,1,0,1,1,0,0,1,0,0]     => 3
[1,1,0,0,1,1,0,1,1,0,1,0,0,0]     => 3
[1,1,0,0,1,1,0,1,1,1,0,0,0,0]     => 1
[1,1,0,0,1,1,1,0,0,0,1,0,1,0]     => 3
[1,1,0,0,1,1,1,0,0,0,1,1,0,0]     => 1
[1,1,0,0,1,1,1,0,0,1,0,0,1,0]     => 3
[1,1,0,0,1,1,1,0,0,1,0,1,0,0]     => 3
[1,1,0,0,1,1,1,0,0,1,1,0,0,0]     => 3
[1,1,0,0,1,1,1,0,1,0,0,0,1,0]     => 3
[1,1,0,0,1,1,1,0,1,0,0,1,0,0]     => 3
[1,1,0,0,1,1,1,0,1,0,1,0,0,0]     => 3
[1,1,0,0,1,1,1,0,1,1,0,0,0,0]     => 1
[1,1,0,0,1,1,1,1,0,0,0,0,1,0]     => 1
[1,1,0,0,1,1,1,1,0,0,0,1,0,0]     => 1
[1,1,0,0,1,1,1,1,0,0,1,0,0,0]     => 1
[1,1,0,0,1,1,1,1,0,1,0,0,0,0]     => 1
[1,1,0,0,1,1,1,1,1,0,0,0,0,0]     => 1
[1,1,0,1,0,0,1,0,1,0,1,0,1,0]     => 5
[1,1,0,1,0,0,1,0,1,0,1,1,0,0]     => 3
[1,1,0,1,0,0,1,0,1,1,0,0,1,0]     => 3
[1,1,0,1,0,0,1,0,1,1,0,1,0,0]     => 3
[1,1,0,1,0,0,1,0,1,1,1,0,0,0]     => 3
[1,1,0,1,0,0,1,1,0,0,1,0,1,0]     => 3
[1,1,0,1,0,0,1,1,0,0,1,1,0,0]     => 1
[1,1,0,1,0,0,1,1,0,1,0,0,1,0]     => 3
[1,1,0,1,0,0,1,1,0,1,0,1,0,0]     => 3
[1,1,0,1,0,0,1,1,0,1,1,0,0,0]     => 3
[1,1,0,1,0,0,1,1,1,0,0,0,1,0]     => 3
[1,1,0,1,0,0,1,1,1,0,0,1,0,0]     => 3
[1,1,0,1,0,0,1,1,1,0,1,0,0,0]     => 3
[1,1,0,1,0,0,1,1,1,1,0,0,0,0]     => 1
[1,1,0,1,0,1,0,0,1,0,1,0,1,0]     => 5
[1,1,0,1,0,1,0,0,1,0,1,1,0,0]     => 3
[1,1,0,1,0,1,0,0,1,1,0,0,1,0]     => 3
[1,1,0,1,0,1,0,0,1,1,0,1,0,0]     => 3
[1,1,0,1,0,1,0,0,1,1,1,0,0,0]     => 3
[1,1,0,1,0,1,0,1,0,0,1,0,1,0]     => 5
[1,1,0,1,0,1,0,1,0,0,1,1,0,0]     => 3
[1,1,0,1,0,1,0,1,0,1,0,0,1,0]     => 5
[1,1,0,1,0,1,0,1,0,1,0,1,0,0]     => 5
[1,1,0,1,0,1,0,1,0,1,1,0,0,0]     => 5
[1,1,0,1,0,1,0,1,1,0,0,0,1,0]     => 5
[1,1,0,1,0,1,0,1,1,0,0,1,0,0]     => 5
[1,1,0,1,0,1,0,1,1,0,1,0,0,0]     => 5
[1,1,0,1,0,1,0,1,1,1,0,0,0,0]     => 3
[1,1,0,1,0,1,1,0,0,0,1,0,1,0]     => 5
[1,1,0,1,0,1,1,0,0,0,1,1,0,0]     => 3
[1,1,0,1,0,1,1,0,0,1,0,0,1,0]     => 5
[1,1,0,1,0,1,1,0,0,1,0,1,0,0]     => 5
[1,1,0,1,0,1,1,0,0,1,1,0,0,0]     => 5
[1,1,0,1,0,1,1,0,1,0,0,0,1,0]     => 5
[1,1,0,1,0,1,1,0,1,0,0,1,0,0]     => 5
[1,1,0,1,0,1,1,0,1,0,1,0,0,0]     => 5
[1,1,0,1,0,1,1,0,1,1,0,0,0,0]     => 3
[1,1,0,1,0,1,1,1,0,0,0,0,1,0]     => 3
[1,1,0,1,0,1,1,1,0,0,0,1,0,0]     => 3
[1,1,0,1,0,1,1,1,0,0,1,0,0,0]     => 3
[1,1,0,1,0,1,1,1,0,1,0,0,0,0]     => 3
[1,1,0,1,0,1,1,1,1,0,0,0,0,0]     => 3
[1,1,0,1,1,0,0,0,1,0,1,0,1,0]     => 5
[1,1,0,1,1,0,0,0,1,0,1,1,0,0]     => 3
[1,1,0,1,1,0,0,0,1,1,0,0,1,0]     => 3
[1,1,0,1,1,0,0,0,1,1,0,1,0,0]     => 3
[1,1,0,1,1,0,0,0,1,1,1,0,0,0]     => 3
[1,1,0,1,1,0,0,1,0,0,1,0,1,0]     => 5
[1,1,0,1,1,0,0,1,0,0,1,1,0,0]     => 3
[1,1,0,1,1,0,0,1,0,1,0,0,1,0]     => 5
[1,1,0,1,1,0,0,1,0,1,0,1,0,0]     => 5
[1,1,0,1,1,0,0,1,0,1,1,0,0,0]     => 5
[1,1,0,1,1,0,0,1,1,0,0,0,1,0]     => 5
[1,1,0,1,1,0,0,1,1,0,0,1,0,0]     => 5
[1,1,0,1,1,0,0,1,1,0,1,0,0,0]     => 5
[1,1,0,1,1,0,0,1,1,1,0,0,0,0]     => 3
[1,1,0,1,1,0,1,0,0,0,1,0,1,0]     => 5
[1,1,0,1,1,0,1,0,0,0,1,1,0,0]     => 3
[1,1,0,1,1,0,1,0,0,1,0,0,1,0]     => 5
[1,1,0,1,1,0,1,0,0,1,0,1,0,0]     => 5
[1,1,0,1,1,0,1,0,0,1,1,0,0,0]     => 5
[1,1,0,1,1,0,1,0,1,0,0,0,1,0]     => 5
[1,1,0,1,1,0,1,0,1,0,0,1,0,0]     => 5
[1,1,0,1,1,0,1,0,1,0,1,0,0,0]     => 5
[1,1,0,1,1,0,1,0,1,1,0,0,0,0]     => 3
[1,1,0,1,1,0,1,1,0,0,0,0,1,0]     => 3
[1,1,0,1,1,0,1,1,0,0,0,1,0,0]     => 3
[1,1,0,1,1,0,1,1,0,0,1,0,0,0]     => 3
[1,1,0,1,1,0,1,1,0,1,0,0,0,0]     => 3
[1,1,0,1,1,0,1,1,1,0,0,0,0,0]     => 3
[1,1,0,1,1,1,0,0,0,0,1,0,1,0]     => 3
[1,1,0,1,1,1,0,0,0,0,1,1,0,0]     => 1
[1,1,0,1,1,1,0,0,0,1,0,0,1,0]     => 3
[1,1,0,1,1,1,0,0,0,1,0,1,0,0]     => 3
[1,1,0,1,1,1,0,0,0,1,1,0,0,0]     => 3
[1,1,0,1,1,1,0,0,1,0,0,0,1,0]     => 3
[1,1,0,1,1,1,0,0,1,0,0,1,0,0]     => 3
[1,1,0,1,1,1,0,0,1,0,1,0,0,0]     => 3
[1,1,0,1,1,1,0,0,1,1,0,0,0,0]     => 1
[1,1,0,1,1,1,0,1,0,0,0,0,1,0]     => 3
[1,1,0,1,1,1,0,1,0,0,0,1,0,0]     => 3
[1,1,0,1,1,1,0,1,0,0,1,0,0,0]     => 3
[1,1,0,1,1,1,0,1,0,1,0,0,0,0]     => 3
[1,1,0,1,1,1,0,1,1,0,0,0,0,0]     => 3
[1,1,0,1,1,1,1,0,0,0,0,0,1,0]     => 3
[1,1,0,1,1,1,1,0,0,0,0,1,0,0]     => 3
[1,1,0,1,1,1,1,0,0,0,1,0,0,0]     => 3
[1,1,0,1,1,1,1,0,0,1,0,0,0,0]     => 3
[1,1,0,1,1,1,1,0,1,0,0,0,0,0]     => 3
[1,1,0,1,1,1,1,1,0,0,0,0,0,0]     => 1
[1,1,1,0,0,0,1,0,1,0,1,0,1,0]     => 5
[1,1,1,0,0,0,1,0,1,0,1,1,0,0]     => 3
[1,1,1,0,0,0,1,0,1,1,0,0,1,0]     => 3
[1,1,1,0,0,0,1,0,1,1,0,1,0,0]     => 3
[1,1,1,0,0,0,1,0,1,1,1,0,0,0]     => 3
[1,1,1,0,0,0,1,1,0,0,1,0,1,0]     => 3
[1,1,1,0,0,0,1,1,0,0,1,1,0,0]     => 1
[1,1,1,0,0,0,1,1,0,1,0,0,1,0]     => 3
[1,1,1,0,0,0,1,1,0,1,0,1,0,0]     => 3
[1,1,1,0,0,0,1,1,0,1,1,0,0,0]     => 3
[1,1,1,0,0,0,1,1,1,0,0,0,1,0]     => 3
[1,1,1,0,0,0,1,1,1,0,0,1,0,0]     => 3
[1,1,1,0,0,0,1,1,1,0,1,0,0,0]     => 3
[1,1,1,0,0,0,1,1,1,1,0,0,0,0]     => 1
[1,1,1,0,0,1,0,0,1,0,1,0,1,0]     => 5
[1,1,1,0,0,1,0,0,1,0,1,1,0,0]     => 3
[1,1,1,0,0,1,0,0,1,1,0,0,1,0]     => 3
[1,1,1,0,0,1,0,0,1,1,0,1,0,0]     => 3
[1,1,1,0,0,1,0,0,1,1,1,0,0,0]     => 3
[1,1,1,0,0,1,0,1,0,0,1,0,1,0]     => 5
[1,1,1,0,0,1,0,1,0,0,1,1,0,0]     => 3
[1,1,1,0,0,1,0,1,0,1,0,0,1,0]     => 5
[1,1,1,0,0,1,0,1,0,1,0,1,0,0]     => 5
[1,1,1,0,0,1,0,1,0,1,1,0,0,0]     => 5
[1,1,1,0,0,1,0,1,1,0,0,0,1,0]     => 5
[1,1,1,0,0,1,0,1,1,0,0,1,0,0]     => 5
[1,1,1,0,0,1,0,1,1,0,1,0,0,0]     => 5
[1,1,1,0,0,1,0,1,1,1,0,0,0,0]     => 3
[1,1,1,0,0,1,1,0,0,0,1,0,1,0]     => 5
[1,1,1,0,0,1,1,0,0,0,1,1,0,0]     => 3
[1,1,1,0,0,1,1,0,0,1,0,0,1,0]     => 5
[1,1,1,0,0,1,1,0,0,1,0,1,0,0]     => 5
[1,1,1,0,0,1,1,0,0,1,1,0,0,0]     => 5
[1,1,1,0,0,1,1,0,1,0,0,0,1,0]     => 5
[1,1,1,0,0,1,1,0,1,0,0,1,0,0]     => 5
[1,1,1,0,0,1,1,0,1,0,1,0,0,0]     => 5
[1,1,1,0,0,1,1,0,1,1,0,0,0,0]     => 3
[1,1,1,0,0,1,1,1,0,0,0,0,1,0]     => 3
[1,1,1,0,0,1,1,1,0,0,0,1,0,0]     => 3
[1,1,1,0,0,1,1,1,0,0,1,0,0,0]     => 3
[1,1,1,0,0,1,1,1,0,1,0,0,0,0]     => 3
[1,1,1,0,0,1,1,1,1,0,0,0,0,0]     => 3
[1,1,1,0,1,0,0,0,1,0,1,0,1,0]     => 5
[1,1,1,0,1,0,0,0,1,0,1,1,0,0]     => 3
[1,1,1,0,1,0,0,0,1,1,0,0,1,0]     => 3
[1,1,1,0,1,0,0,0,1,1,0,1,0,0]     => 3
[1,1,1,0,1,0,0,0,1,1,1,0,0,0]     => 3
[1,1,1,0,1,0,0,1,0,0,1,0,1,0]     => 5
[1,1,1,0,1,0,0,1,0,0,1,1,0,0]     => 3
[1,1,1,0,1,0,0,1,0,1,0,0,1,0]     => 5
[1,1,1,0,1,0,0,1,0,1,0,1,0,0]     => 5
[1,1,1,0,1,0,0,1,0,1,1,0,0,0]     => 5
[1,1,1,0,1,0,0,1,1,0,0,0,1,0]     => 5
[1,1,1,0,1,0,0,1,1,0,0,1,0,0]     => 5
[1,1,1,0,1,0,0,1,1,0,1,0,0,0]     => 5
[1,1,1,0,1,0,0,1,1,1,0,0,0,0]     => 3
[1,1,1,0,1,0,1,0,0,0,1,0,1,0]     => 5
[1,1,1,0,1,0,1,0,0,0,1,1,0,0]     => 3
[1,1,1,0,1,0,1,0,0,1,0,0,1,0]     => 5
[1,1,1,0,1,0,1,0,0,1,0,1,0,0]     => 5
[1,1,1,0,1,0,1,0,0,1,1,0,0,0]     => 5
[1,1,1,0,1,0,1,0,1,0,0,0,1,0]     => 5
[1,1,1,0,1,0,1,0,1,0,0,1,0,0]     => 5
[1,1,1,0,1,0,1,0,1,0,1,0,0,0]     => 5
[1,1,1,0,1,0,1,0,1,1,0,0,0,0]     => 3
[1,1,1,0,1,0,1,1,0,0,0,0,1,0]     => 3
[1,1,1,0,1,0,1,1,0,0,0,1,0,0]     => 3
[1,1,1,0,1,0,1,1,0,0,1,0,0,0]     => 3
[1,1,1,0,1,0,1,1,0,1,0,0,0,0]     => 3
[1,1,1,0,1,0,1,1,1,0,0,0,0,0]     => 3
[1,1,1,0,1,1,0,0,0,0,1,0,1,0]     => 3
[1,1,1,0,1,1,0,0,0,0,1,1,0,0]     => 1
[1,1,1,0,1,1,0,0,0,1,0,0,1,0]     => 3
[1,1,1,0,1,1,0,0,0,1,0,1,0,0]     => 3
[1,1,1,0,1,1,0,0,0,1,1,0,0,0]     => 3
[1,1,1,0,1,1,0,0,1,0,0,0,1,0]     => 3
[1,1,1,0,1,1,0,0,1,0,0,1,0,0]     => 3
[1,1,1,0,1,1,0,0,1,0,1,0,0,0]     => 3
[1,1,1,0,1,1,0,0,1,1,0,0,0,0]     => 1
[1,1,1,0,1,1,0,1,0,0,0,0,1,0]     => 3
[1,1,1,0,1,1,0,1,0,0,0,1,0,0]     => 3
[1,1,1,0,1,1,0,1,0,0,1,0,0,0]     => 3
[1,1,1,0,1,1,0,1,0,1,0,0,0,0]     => 3
[1,1,1,0,1,1,0,1,1,0,0,0,0,0]     => 3
[1,1,1,0,1,1,1,0,0,0,0,0,1,0]     => 3
[1,1,1,0,1,1,1,0,0,0,0,1,0,0]     => 3
[1,1,1,0,1,1,1,0,0,0,1,0,0,0]     => 3
[1,1,1,0,1,1,1,0,0,1,0,0,0,0]     => 3
[1,1,1,0,1,1,1,0,1,0,0,0,0,0]     => 3
[1,1,1,0,1,1,1,1,0,0,0,0,0,0]     => 1
[1,1,1,1,0,0,0,0,1,0,1,0,1,0]     => 3
[1,1,1,1,0,0,0,0,1,0,1,1,0,0]     => 1
[1,1,1,1,0,0,0,0,1,1,0,0,1,0]     => 1
[1,1,1,1,0,0,0,0,1,1,0,1,0,0]     => 1
[1,1,1,1,0,0,0,0,1,1,1,0,0,0]     => 1
[1,1,1,1,0,0,0,1,0,0,1,0,1,0]     => 3
[1,1,1,1,0,0,0,1,0,0,1,1,0,0]     => 1
[1,1,1,1,0,0,0,1,0,1,0,0,1,0]     => 3
[1,1,1,1,0,0,0,1,0,1,0,1,0,0]     => 3
[1,1,1,1,0,0,0,1,0,1,1,0,0,0]     => 3
[1,1,1,1,0,0,0,1,1,0,0,0,1,0]     => 3
[1,1,1,1,0,0,0,1,1,0,0,1,0,0]     => 3
[1,1,1,1,0,0,0,1,1,0,1,0,0,0]     => 3
[1,1,1,1,0,0,0,1,1,1,0,0,0,0]     => 1
[1,1,1,1,0,0,1,0,0,0,1,0,1,0]     => 3
[1,1,1,1,0,0,1,0,0,0,1,1,0,0]     => 1
[1,1,1,1,0,0,1,0,0,1,0,0,1,0]     => 3
[1,1,1,1,0,0,1,0,0,1,0,1,0,0]     => 3
[1,1,1,1,0,0,1,0,0,1,1,0,0,0]     => 3
[1,1,1,1,0,0,1,0,1,0,0,0,1,0]     => 3
[1,1,1,1,0,0,1,0,1,0,0,1,0,0]     => 3
[1,1,1,1,0,0,1,0,1,0,1,0,0,0]     => 3
[1,1,1,1,0,0,1,0,1,1,0,0,0,0]     => 1
[1,1,1,1,0,0,1,1,0,0,0,0,1,0]     => 1
[1,1,1,1,0,0,1,1,0,0,0,1,0,0]     => 1
[1,1,1,1,0,0,1,1,0,0,1,0,0,0]     => 1
[1,1,1,1,0,0,1,1,0,1,0,0,0,0]     => 1
[1,1,1,1,0,0,1,1,1,0,0,0,0,0]     => 1
[1,1,1,1,0,1,0,0,0,0,1,0,1,0]     => 3
[1,1,1,1,0,1,0,0,0,0,1,1,0,0]     => 1
[1,1,1,1,0,1,0,0,0,1,0,0,1,0]     => 3
[1,1,1,1,0,1,0,0,0,1,0,1,0,0]     => 3
[1,1,1,1,0,1,0,0,0,1,1,0,0,0]     => 3
[1,1,1,1,0,1,0,0,1,0,0,0,1,0]     => 3
[1,1,1,1,0,1,0,0,1,0,0,1,0,0]     => 3
[1,1,1,1,0,1,0,0,1,0,1,0,0,0]     => 3
[1,1,1,1,0,1,0,0,1,1,0,0,0,0]     => 1
[1,1,1,1,0,1,0,1,0,0,0,0,1,0]     => 3
[1,1,1,1,0,1,0,1,0,0,0,1,0,0]     => 3
[1,1,1,1,0,1,0,1,0,0,1,0,0,0]     => 3
[1,1,1,1,0,1,0,1,0,1,0,0,0,0]     => 3
[1,1,1,1,0,1,0,1,1,0,0,0,0,0]     => 3
[1,1,1,1,0,1,1,0,0,0,0,0,1,0]     => 3
[1,1,1,1,0,1,1,0,0,0,0,1,0,0]     => 3
[1,1,1,1,0,1,1,0,0,0,1,0,0,0]     => 3
[1,1,1,1,0,1,1,0,0,1,0,0,0,0]     => 3
[1,1,1,1,0,1,1,0,1,0,0,0,0,0]     => 3
[1,1,1,1,0,1,1,1,0,0,0,0,0,0]     => 1
[1,1,1,1,1,0,0,0,0,0,1,0,1,0]     => 3
[1,1,1,1,1,0,0,0,0,0,1,1,0,0]     => 1
[1,1,1,1,1,0,0,0,0,1,0,0,1,0]     => 3
[1,1,1,1,1,0,0,0,0,1,0,1,0,0]     => 3
[1,1,1,1,1,0,0,0,0,1,1,0,0,0]     => 3
[1,1,1,1,1,0,0,0,1,0,0,0,1,0]     => 3
[1,1,1,1,1,0,0,0,1,0,0,1,0,0]     => 3
[1,1,1,1,1,0,0,0,1,0,1,0,0,0]     => 3
[1,1,1,1,1,0,0,0,1,1,0,0,0,0]     => 1
[1,1,1,1,1,0,0,1,0,0,0,0,1,0]     => 3
[1,1,1,1,1,0,0,1,0,0,0,1,0,0]     => 3
[1,1,1,1,1,0,0,1,0,0,1,0,0,0]     => 3
[1,1,1,1,1,0,0,1,0,1,0,0,0,0]     => 3
[1,1,1,1,1,0,0,1,1,0,0,0,0,0]     => 3
[1,1,1,1,1,0,1,0,0,0,0,0,1,0]     => 3
[1,1,1,1,1,0,1,0,0,0,0,1,0,0]     => 3
[1,1,1,1,1,0,1,0,0,0,1,0,0,0]     => 3
[1,1,1,1,1,0,1,0,0,1,0,0,0,0]     => 3
[1,1,1,1,1,0,1,0,1,0,0,0,0,0]     => 3
[1,1,1,1,1,0,1,1,0,0,0,0,0,0]     => 1
[1,1,1,1,1,1,0,0,0,0,0,0,1,0]     => 1
[1,1,1,1,1,1,0,0,0,0,0,1,0,0]     => 1
[1,1,1,1,1,1,0,0,0,0,1,0,0,0]     => 1
[1,1,1,1,1,1,0,0,0,1,0,0,0,0]     => 1
[1,1,1,1,1,1,0,0,1,0,0,0,0,0]     => 1
[1,1,1,1,1,1,0,1,0,0,0,0,0,0]     => 1
[1,1,1,1,1,1,1,0,0,0,0,0,0,0]     => 1
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 6
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 6
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 6
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 4
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 6
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 6
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 6
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 6
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 6
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 6
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 4
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 4
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 4
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 4
[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 4
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 6
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 4
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 6
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 6
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 6
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 6
[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 6
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 6
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 4
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 6
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 4
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 6
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 6
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 6
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 6
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 6
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 6
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 4
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 4
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 4
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 4
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 4
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 4
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 4
[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 4
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 4
[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 4
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 4
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 4
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 4
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 4
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 4
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 4
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 4
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 2
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 6
[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 4
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 4
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 4
[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 4
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 6
[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 4
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 6
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 6
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 6
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 6
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 6
[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 6
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 4
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 6
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 4
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 6
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 6
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 6
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 6
[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 6
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 6
[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 4
[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 4
[1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 4
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 4
[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 4
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 4
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 4
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 4
[1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 4
[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 4
[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 6
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 4
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 6
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 6
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 6
[1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 6
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 6
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 6
[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 4
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 6
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 4
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 6
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 6
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 6
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 6
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 6
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 6
[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 4
[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 4
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 4
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 4
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 4
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 4
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 4
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 4
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 4
[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 4
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 4
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 4
[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 2
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 4
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 4
[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 4
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 4
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 4
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 4
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 4
[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 4
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 4
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 4
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 2
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 4
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 4
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 4
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 4
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 4
[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2
[1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 4
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 4
[1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 4
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 4
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 4
[1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 4
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 2
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 4
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 2
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 2
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 4
[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 2
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 4
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 4
[1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 4
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 4
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 4
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 4
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 2
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 4
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 2
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 4
[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 4
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 4
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 4
[1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 4
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 4
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 2
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 2
[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 2
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 2
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 2
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 2
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 4
[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 4
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 4
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 4
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 4
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 4
[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 4
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 4
[1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 4
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 4
[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 4
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 6
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 4
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 4
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 4
[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 4
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 6
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 4
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 6
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 6
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 6
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 6
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 6
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 6
[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 4
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 6
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 4
[1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 6
[1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 6
[1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 6
[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 6
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 6
[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 6
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 4
[1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 4
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 4
[1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 4
[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 4
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 4
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 4
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 4
[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 4
[1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 4
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 6
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 4
[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 6
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 6
[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 6
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 6
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 6
[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 6
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 4
[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 6
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 4
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 6
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 6
[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 6
[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 6
[1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 6
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 6
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 4
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 4
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 4
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 4
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 4
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 4
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 4
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 4
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 4
[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 4
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 4
[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 4
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 2
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 4
[1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 4
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 4
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 4
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 4
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 4
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 4
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 4
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 4
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 4
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 2
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 6
[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 4
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 4
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 4
[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 4
[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 4
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 2
[1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 4
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 4
[1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 4
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 4
[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 4
[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 4
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 2
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 6
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 4
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 4
[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 6
[1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 4
[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 6
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 6
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 6
[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 6
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 6
[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 6
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 4
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 6
[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 4
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 6
[1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 6
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 6
[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 6
[1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 6
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 6
[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 4
[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 4
[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 4
[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 4
[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 4
[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 4
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 6
[1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 4
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 4
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 4
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 4
[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 6
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 4
[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 6
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 6
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 6
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 6
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 6
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 6
[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 4
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 6
[1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 4
[1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 6
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 6
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 6
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 6
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 6
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 6
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 4
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 4
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 4
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 4
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 4
[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 4
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 4
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 4
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 4
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 4
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 4
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 4
[1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 4
[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 2
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 4
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 4
[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 4
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 4
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 4
[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 4
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 4
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 4
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 4
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 4
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 2
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 4
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 2
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 2
[1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 2
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 2
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 4
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 4
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 4
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 4
[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 4
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 4
[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 4
[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 2
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 4
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 4
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 4
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 4
[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 4
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 4
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 4
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 2
[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 2
[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 2
[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 2
[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 2
[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 2
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 4
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 2
[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 4
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 4
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 4
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 4
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 4
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 4
[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 2
[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 4
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 4
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 4
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 4
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 4
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 4
[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 4
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 4
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 4
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 4
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 2
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 4
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 2
[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 4
[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 4
[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 4
[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 4
[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 4
[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 4
[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 2
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 4
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 4
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 4
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 4
[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 4
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 4
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 4
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 4
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 4
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 4
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 2
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 2
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 2
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 2
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 2
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 2
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 2
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 4
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 4
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 4
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 4
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 4
[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 2
[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => 4
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => 4
[1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => 4
[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 4
[1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => 4
[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => 4
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 2
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 4
[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 2
[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => 2
[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 2
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => 4
[1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => 2
[1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => 4
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => 4
[1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => 4
[1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => 4
[1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => 4
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => 4
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => 2
[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 4
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 2
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => 4
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => 4
[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => 4
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => 4
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => 4
[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => 4
[1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => 2
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 2
[1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => 2
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => 2
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => 2
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 2
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 4
[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 2
[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 2
[1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => 2
[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 2
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 2
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 0
[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 2
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => 2
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => 2
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 2
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 2
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => 2
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 0
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 4
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 2
[1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 2
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 2
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 2
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 4
[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 2
[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => 4
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => 4
[1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => 4
[1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => 4
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => 4
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => 4
[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => 2
[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 4
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 2
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 4
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => 4
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => 4
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => 4
[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => 4
[1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => 4
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => 2
[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => 2
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => 2
[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => 2
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => 2
[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => 2
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 4
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 2
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 2
[1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 2
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 2
[1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 4
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 2
[1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 4
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => 4
[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => 4
[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 4
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 4
[1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => 4
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => 2
[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 4
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 2
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 4
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => 4
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => 4
[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => 4
[1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => 4
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => 4
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => 2
[1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => 2
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => 2
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => 2
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => 2
[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => 2
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 2
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 0
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 2
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => 2
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => 2
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 2
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 2
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => 2
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => 0
[1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => 2
[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => 2
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => 2
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => 2
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => 2
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 2
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => 2
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => 2
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => 2
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => 4
[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => 4
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => 4
[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => 4
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 4
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 4
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => 4
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => 4
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 4
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 4
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => 4
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => 2
[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 4

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Created: Nov 05, 2017 at 23:15 by Martin Rubey

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Last Updated: Nov 05, 2017 at 23:15 by Martin Rubey