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*       www.FindStat.org - The Combinatorial Statistic Finder               *
*                                                                           *
*       Copyright (C) 2019 The FindStatCrew <info@findstat.org>             *
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-----------------------------------------------------------------------------
Statistic identifier: St000931

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

-----------------------------------------------------------------------------
Description: The number of occurrences of the pattern UUU in a Dyck path.

The number of Dyck paths with statistic value 0 are counted by the Motzkin numbers [1].

-----------------------------------------------------------------------------
References: [1]   Motzkin numbers: number of ways of drawing any number of nonintersecting chords joining n (labeled) points on a circle. [[OEIS:A001006]]

-----------------------------------------------------------------------------
Code:
def statistic(D):
    return sum(1 for i in range(len(D)-2) if D[i:i+3] == [1,1,1])


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

[1,0,1,0]                         => 0
[1,1,0,0]                         => 0
[1,0,1,0,1,0]                     => 0
[1,0,1,1,0,0]                     => 0
[1,1,0,0,1,0]                     => 0
[1,1,0,1,0,0]                     => 0
[1,1,1,0,0,0]                     => 1
[1,0,1,0,1,0,1,0]                 => 0
[1,0,1,0,1,1,0,0]                 => 0
[1,0,1,1,0,0,1,0]                 => 0
[1,0,1,1,0,1,0,0]                 => 0
[1,0,1,1,1,0,0,0]                 => 1
[1,1,0,0,1,0,1,0]                 => 0
[1,1,0,0,1,1,0,0]                 => 0
[1,1,0,1,0,0,1,0]                 => 0
[1,1,0,1,0,1,0,0]                 => 0
[1,1,0,1,1,0,0,0]                 => 0
[1,1,1,0,0,0,1,0]                 => 1
[1,1,1,0,0,1,0,0]                 => 1
[1,1,1,0,1,0,0,0]                 => 1
[1,1,1,1,0,0,0,0]                 => 2
[1,0,1,0,1,0,1,0,1,0]             => 0
[1,0,1,0,1,0,1,1,0,0]             => 0
[1,0,1,0,1,1,0,0,1,0]             => 0
[1,0,1,0,1,1,0,1,0,0]             => 0
[1,0,1,0,1,1,1,0,0,0]             => 1
[1,0,1,1,0,0,1,0,1,0]             => 0
[1,0,1,1,0,0,1,1,0,0]             => 0
[1,0,1,1,0,1,0,0,1,0]             => 0
[1,0,1,1,0,1,0,1,0,0]             => 0
[1,0,1,1,0,1,1,0,0,0]             => 0
[1,0,1,1,1,0,0,0,1,0]             => 1
[1,0,1,1,1,0,0,1,0,0]             => 1
[1,0,1,1,1,0,1,0,0,0]             => 1
[1,0,1,1,1,1,0,0,0,0]             => 2
[1,1,0,0,1,0,1,0,1,0]             => 0
[1,1,0,0,1,0,1,1,0,0]             => 0
[1,1,0,0,1,1,0,0,1,0]             => 0
[1,1,0,0,1,1,0,1,0,0]             => 0
[1,1,0,0,1,1,1,0,0,0]             => 1
[1,1,0,1,0,0,1,0,1,0]             => 0
[1,1,0,1,0,0,1,1,0,0]             => 0
[1,1,0,1,0,1,0,0,1,0]             => 0
[1,1,0,1,0,1,0,1,0,0]             => 0
[1,1,0,1,0,1,1,0,0,0]             => 0
[1,1,0,1,1,0,0,0,1,0]             => 0
[1,1,0,1,1,0,0,1,0,0]             => 0
[1,1,0,1,1,0,1,0,0,0]             => 0
[1,1,0,1,1,1,0,0,0,0]             => 1
[1,1,1,0,0,0,1,0,1,0]             => 1
[1,1,1,0,0,0,1,1,0,0]             => 1
[1,1,1,0,0,1,0,0,1,0]             => 1
[1,1,1,0,0,1,0,1,0,0]             => 1
[1,1,1,0,0,1,1,0,0,0]             => 1
[1,1,1,0,1,0,0,0,1,0]             => 1
[1,1,1,0,1,0,0,1,0,0]             => 1
[1,1,1,0,1,0,1,0,0,0]             => 1
[1,1,1,0,1,1,0,0,0,0]             => 1
[1,1,1,1,0,0,0,0,1,0]             => 2
[1,1,1,1,0,0,0,1,0,0]             => 2
[1,1,1,1,0,0,1,0,0,0]             => 2
[1,1,1,1,0,1,0,0,0,0]             => 2
[1,1,1,1,1,0,0,0,0,0]             => 3
[1,0,1,0,1,0,1,0,1,0,1,0]         => 0
[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]         => 0
[1,0,1,0,1,0,1,1,0,1,0,0]         => 0
[1,0,1,0,1,0,1,1,1,0,0,0]         => 1
[1,0,1,0,1,1,0,0,1,0,1,0]         => 0
[1,0,1,0,1,1,0,0,1,1,0,0]         => 0
[1,0,1,0,1,1,0,1,0,0,1,0]         => 0
[1,0,1,0,1,1,0,1,0,1,0,0]         => 0
[1,0,1,0,1,1,0,1,1,0,0,0]         => 0
[1,0,1,0,1,1,1,0,0,0,1,0]         => 1
[1,0,1,0,1,1,1,0,0,1,0,0]         => 1
[1,0,1,0,1,1,1,0,1,0,0,0]         => 1
[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]         => 0
[1,0,1,1,0,0,1,0,1,1,0,0]         => 0
[1,0,1,1,0,0,1,1,0,0,1,0]         => 0
[1,0,1,1,0,0,1,1,0,1,0,0]         => 0
[1,0,1,1,0,0,1,1,1,0,0,0]         => 1
[1,0,1,1,0,1,0,0,1,0,1,0]         => 0
[1,0,1,1,0,1,0,0,1,1,0,0]         => 0
[1,0,1,1,0,1,0,1,0,0,1,0]         => 0
[1,0,1,1,0,1,0,1,0,1,0,0]         => 0
[1,0,1,1,0,1,0,1,1,0,0,0]         => 0
[1,0,1,1,0,1,1,0,0,0,1,0]         => 0
[1,0,1,1,0,1,1,0,0,1,0,0]         => 0
[1,0,1,1,0,1,1,0,1,0,0,0]         => 0
[1,0,1,1,0,1,1,1,0,0,0,0]         => 1
[1,0,1,1,1,0,0,0,1,0,1,0]         => 1
[1,0,1,1,1,0,0,0,1,1,0,0]         => 1
[1,0,1,1,1,0,0,1,0,0,1,0]         => 1
[1,0,1,1,1,0,0,1,0,1,0,0]         => 1
[1,0,1,1,1,0,0,1,1,0,0,0]         => 1
[1,0,1,1,1,0,1,0,0,0,1,0]         => 1
[1,0,1,1,1,0,1,0,0,1,0,0]         => 1
[1,0,1,1,1,0,1,0,1,0,0,0]         => 1
[1,0,1,1,1,0,1,1,0,0,0,0]         => 1
[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]         => 3
[1,1,0,0,1,0,1,0,1,0,1,0]         => 0
[1,1,0,0,1,0,1,0,1,1,0,0]         => 0
[1,1,0,0,1,0,1,1,0,0,1,0]         => 0
[1,1,0,0,1,0,1,1,0,1,0,0]         => 0
[1,1,0,0,1,0,1,1,1,0,0,0]         => 1
[1,1,0,0,1,1,0,0,1,0,1,0]         => 0
[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]         => 0
[1,1,0,0,1,1,0,1,0,1,0,0]         => 0
[1,1,0,0,1,1,0,1,1,0,0,0]         => 0
[1,1,0,0,1,1,1,0,0,0,1,0]         => 1
[1,1,0,0,1,1,1,0,0,1,0,0]         => 1
[1,1,0,0,1,1,1,0,1,0,0,0]         => 1
[1,1,0,0,1,1,1,1,0,0,0,0]         => 2
[1,1,0,1,0,0,1,0,1,0,1,0]         => 0
[1,1,0,1,0,0,1,0,1,1,0,0]         => 0
[1,1,0,1,0,0,1,1,0,0,1,0]         => 0
[1,1,0,1,0,0,1,1,0,1,0,0]         => 0
[1,1,0,1,0,0,1,1,1,0,0,0]         => 1
[1,1,0,1,0,1,0,0,1,0,1,0]         => 0
[1,1,0,1,0,1,0,0,1,1,0,0]         => 0
[1,1,0,1,0,1,0,1,0,0,1,0]         => 0
[1,1,0,1,0,1,0,1,0,1,0,0]         => 0
[1,1,0,1,0,1,0,1,1,0,0,0]         => 0
[1,1,0,1,0,1,1,0,0,0,1,0]         => 0
[1,1,0,1,0,1,1,0,0,1,0,0]         => 0
[1,1,0,1,0,1,1,0,1,0,0,0]         => 0
[1,1,0,1,0,1,1,1,0,0,0,0]         => 1
[1,1,0,1,1,0,0,0,1,0,1,0]         => 0
[1,1,0,1,1,0,0,0,1,1,0,0]         => 0
[1,1,0,1,1,0,0,1,0,0,1,0]         => 0
[1,1,0,1,1,0,0,1,0,1,0,0]         => 0
[1,1,0,1,1,0,0,1,1,0,0,0]         => 0
[1,1,0,1,1,0,1,0,0,0,1,0]         => 0
[1,1,0,1,1,0,1,0,0,1,0,0]         => 0
[1,1,0,1,1,0,1,0,1,0,0,0]         => 0
[1,1,0,1,1,0,1,1,0,0,0,0]         => 0
[1,1,0,1,1,1,0,0,0,0,1,0]         => 1
[1,1,0,1,1,1,0,0,0,1,0,0]         => 1
[1,1,0,1,1,1,0,0,1,0,0,0]         => 1
[1,1,0,1,1,1,0,1,0,0,0,0]         => 1
[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]         => 1
[1,1,1,0,0,0,1,0,1,1,0,0]         => 1
[1,1,1,0,0,0,1,1,0,0,1,0]         => 1
[1,1,1,0,0,0,1,1,0,1,0,0]         => 1
[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]         => 1
[1,1,1,0,0,1,0,0,1,1,0,0]         => 1
[1,1,1,0,0,1,0,1,0,0,1,0]         => 1
[1,1,1,0,0,1,0,1,0,1,0,0]         => 1
[1,1,1,0,0,1,0,1,1,0,0,0]         => 1
[1,1,1,0,0,1,1,0,0,0,1,0]         => 1
[1,1,1,0,0,1,1,0,0,1,0,0]         => 1
[1,1,1,0,0,1,1,0,1,0,0,0]         => 1
[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]         => 1
[1,1,1,0,1,0,0,0,1,1,0,0]         => 1
[1,1,1,0,1,0,0,1,0,0,1,0]         => 1
[1,1,1,0,1,0,0,1,0,1,0,0]         => 1
[1,1,1,0,1,0,0,1,1,0,0,0]         => 1
[1,1,1,0,1,0,1,0,0,0,1,0]         => 1
[1,1,1,0,1,0,1,0,0,1,0,0]         => 1
[1,1,1,0,1,0,1,0,1,0,0,0]         => 1
[1,1,1,0,1,0,1,1,0,0,0,0]         => 1
[1,1,1,0,1,1,0,0,0,0,1,0]         => 1
[1,1,1,0,1,1,0,0,0,1,0,0]         => 1
[1,1,1,0,1,1,0,0,1,0,0,0]         => 1
[1,1,1,0,1,1,0,1,0,0,0,0]         => 1
[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]         => 2
[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]         => 2
[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]         => 3
[1,1,1,1,1,0,0,0,0,1,0,0]         => 3
[1,1,1,1,1,0,0,0,1,0,0,0]         => 3
[1,1,1,1,1,0,0,1,0,0,0,0]         => 3
[1,1,1,1,1,0,1,0,0,0,0,0]         => 3
[1,1,1,1,1,1,0,0,0,0,0,0]         => 4
[1,0,1,0,1,0,1,0,1,0,1,0,1,0]     => 0
[1,0,1,0,1,0,1,0,1,0,1,1,0,0]     => 0
[1,0,1,0,1,0,1,0,1,1,0,0,1,0]     => 0
[1,0,1,0,1,0,1,0,1,1,0,1,0,0]     => 0
[1,0,1,0,1,0,1,0,1,1,1,0,0,0]     => 1
[1,0,1,0,1,0,1,1,0,0,1,0,1,0]     => 0
[1,0,1,0,1,0,1,1,0,0,1,1,0,0]     => 0
[1,0,1,0,1,0,1,1,0,1,0,0,1,0]     => 0
[1,0,1,0,1,0,1,1,0,1,0,1,0,0]     => 0
[1,0,1,0,1,0,1,1,0,1,1,0,0,0]     => 0
[1,0,1,0,1,0,1,1,1,0,0,0,1,0]     => 1
[1,0,1,0,1,0,1,1,1,0,0,1,0,0]     => 1
[1,0,1,0,1,0,1,1,1,0,1,0,0,0]     => 1
[1,0,1,0,1,0,1,1,1,1,0,0,0,0]     => 2
[1,0,1,0,1,1,0,0,1,0,1,0,1,0]     => 0
[1,0,1,0,1,1,0,0,1,0,1,1,0,0]     => 0
[1,0,1,0,1,1,0,0,1,1,0,0,1,0]     => 0
[1,0,1,0,1,1,0,0,1,1,0,1,0,0]     => 0
[1,0,1,0,1,1,0,0,1,1,1,0,0,0]     => 1
[1,0,1,0,1,1,0,1,0,0,1,0,1,0]     => 0
[1,0,1,0,1,1,0,1,0,0,1,1,0,0]     => 0
[1,0,1,0,1,1,0,1,0,1,0,0,1,0]     => 0
[1,0,1,0,1,1,0,1,0,1,0,1,0,0]     => 0
[1,0,1,0,1,1,0,1,0,1,1,0,0,0]     => 0
[1,0,1,0,1,1,0,1,1,0,0,0,1,0]     => 0
[1,0,1,0,1,1,0,1,1,0,0,1,0,0]     => 0
[1,0,1,0,1,1,0,1,1,0,1,0,0,0]     => 0
[1,0,1,0,1,1,0,1,1,1,0,0,0,0]     => 1
[1,0,1,0,1,1,1,0,0,0,1,0,1,0]     => 1
[1,0,1,0,1,1,1,0,0,0,1,1,0,0]     => 1
[1,0,1,0,1,1,1,0,0,1,0,0,1,0]     => 1
[1,0,1,0,1,1,1,0,0,1,0,1,0,0]     => 1
[1,0,1,0,1,1,1,0,0,1,1,0,0,0]     => 1
[1,0,1,0,1,1,1,0,1,0,0,0,1,0]     => 1
[1,0,1,0,1,1,1,0,1,0,0,1,0,0]     => 1
[1,0,1,0,1,1,1,0,1,0,1,0,0,0]     => 1
[1,0,1,0,1,1,1,0,1,1,0,0,0,0]     => 1
[1,0,1,0,1,1,1,1,0,0,0,0,1,0]     => 2
[1,0,1,0,1,1,1,1,0,0,0,1,0,0]     => 2
[1,0,1,0,1,1,1,1,0,0,1,0,0,0]     => 2
[1,0,1,0,1,1,1,1,0,1,0,0,0,0]     => 2
[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]     => 0
[1,0,1,1,0,0,1,0,1,0,1,1,0,0]     => 0
[1,0,1,1,0,0,1,0,1,1,0,0,1,0]     => 0
[1,0,1,1,0,0,1,0,1,1,0,1,0,0]     => 0
[1,0,1,1,0,0,1,0,1,1,1,0,0,0]     => 1
[1,0,1,1,0,0,1,1,0,0,1,0,1,0]     => 0
[1,0,1,1,0,0,1,1,0,0,1,1,0,0]     => 0
[1,0,1,1,0,0,1,1,0,1,0,0,1,0]     => 0
[1,0,1,1,0,0,1,1,0,1,0,1,0,0]     => 0
[1,0,1,1,0,0,1,1,0,1,1,0,0,0]     => 0
[1,0,1,1,0,0,1,1,1,0,0,0,1,0]     => 1
[1,0,1,1,0,0,1,1,1,0,0,1,0,0]     => 1
[1,0,1,1,0,0,1,1,1,0,1,0,0,0]     => 1
[1,0,1,1,0,0,1,1,1,1,0,0,0,0]     => 2
[1,0,1,1,0,1,0,0,1,0,1,0,1,0]     => 0
[1,0,1,1,0,1,0,0,1,0,1,1,0,0]     => 0
[1,0,1,1,0,1,0,0,1,1,0,0,1,0]     => 0
[1,0,1,1,0,1,0,0,1,1,0,1,0,0]     => 0
[1,0,1,1,0,1,0,0,1,1,1,0,0,0]     => 1
[1,0,1,1,0,1,0,1,0,0,1,0,1,0]     => 0
[1,0,1,1,0,1,0,1,0,0,1,1,0,0]     => 0
[1,0,1,1,0,1,0,1,0,1,0,0,1,0]     => 0
[1,0,1,1,0,1,0,1,0,1,0,1,0,0]     => 0
[1,0,1,1,0,1,0,1,0,1,1,0,0,0]     => 0
[1,0,1,1,0,1,0,1,1,0,0,0,1,0]     => 0
[1,0,1,1,0,1,0,1,1,0,0,1,0,0]     => 0
[1,0,1,1,0,1,0,1,1,0,1,0,0,0]     => 0
[1,0,1,1,0,1,0,1,1,1,0,0,0,0]     => 1
[1,0,1,1,0,1,1,0,0,0,1,0,1,0]     => 0
[1,0,1,1,0,1,1,0,0,0,1,1,0,0]     => 0
[1,0,1,1,0,1,1,0,0,1,0,0,1,0]     => 0
[1,0,1,1,0,1,1,0,0,1,0,1,0,0]     => 0
[1,0,1,1,0,1,1,0,0,1,1,0,0,0]     => 0
[1,0,1,1,0,1,1,0,1,0,0,0,1,0]     => 0
[1,0,1,1,0,1,1,0,1,0,0,1,0,0]     => 0
[1,0,1,1,0,1,1,0,1,0,1,0,0,0]     => 0
[1,0,1,1,0,1,1,0,1,1,0,0,0,0]     => 0
[1,0,1,1,0,1,1,1,0,0,0,0,1,0]     => 1
[1,0,1,1,0,1,1,1,0,0,0,1,0,0]     => 1
[1,0,1,1,0,1,1,1,0,0,1,0,0,0]     => 1
[1,0,1,1,0,1,1,1,0,1,0,0,0,0]     => 1
[1,0,1,1,0,1,1,1,1,0,0,0,0,0]     => 2
[1,0,1,1,1,0,0,0,1,0,1,0,1,0]     => 1
[1,0,1,1,1,0,0,0,1,0,1,1,0,0]     => 1
[1,0,1,1,1,0,0,0,1,1,0,0,1,0]     => 1
[1,0,1,1,1,0,0,0,1,1,0,1,0,0]     => 1
[1,0,1,1,1,0,0,0,1,1,1,0,0,0]     => 2
[1,0,1,1,1,0,0,1,0,0,1,0,1,0]     => 1
[1,0,1,1,1,0,0,1,0,0,1,1,0,0]     => 1
[1,0,1,1,1,0,0,1,0,1,0,0,1,0]     => 1
[1,0,1,1,1,0,0,1,0,1,0,1,0,0]     => 1
[1,0,1,1,1,0,0,1,0,1,1,0,0,0]     => 1
[1,0,1,1,1,0,0,1,1,0,0,0,1,0]     => 1
[1,0,1,1,1,0,0,1,1,0,0,1,0,0]     => 1
[1,0,1,1,1,0,0,1,1,0,1,0,0,0]     => 1
[1,0,1,1,1,0,0,1,1,1,0,0,0,0]     => 2
[1,0,1,1,1,0,1,0,0,0,1,0,1,0]     => 1
[1,0,1,1,1,0,1,0,0,0,1,1,0,0]     => 1
[1,0,1,1,1,0,1,0,0,1,0,0,1,0]     => 1
[1,0,1,1,1,0,1,0,0,1,0,1,0,0]     => 1
[1,0,1,1,1,0,1,0,0,1,1,0,0,0]     => 1
[1,0,1,1,1,0,1,0,1,0,0,0,1,0]     => 1
[1,0,1,1,1,0,1,0,1,0,0,1,0,0]     => 1
[1,0,1,1,1,0,1,0,1,0,1,0,0,0]     => 1
[1,0,1,1,1,0,1,0,1,1,0,0,0,0]     => 1
[1,0,1,1,1,0,1,1,0,0,0,0,1,0]     => 1
[1,0,1,1,1,0,1,1,0,0,0,1,0,0]     => 1
[1,0,1,1,1,0,1,1,0,0,1,0,0,0]     => 1
[1,0,1,1,1,0,1,1,0,1,0,0,0,0]     => 1
[1,0,1,1,1,0,1,1,1,0,0,0,0,0]     => 2
[1,0,1,1,1,1,0,0,0,0,1,0,1,0]     => 2
[1,0,1,1,1,1,0,0,0,0,1,1,0,0]     => 2
[1,0,1,1,1,1,0,0,0,1,0,0,1,0]     => 2
[1,0,1,1,1,1,0,0,0,1,0,1,0,0]     => 2
[1,0,1,1,1,1,0,0,0,1,1,0,0,0]     => 2
[1,0,1,1,1,1,0,0,1,0,0,0,1,0]     => 2
[1,0,1,1,1,1,0,0,1,0,0,1,0,0]     => 2
[1,0,1,1,1,1,0,0,1,0,1,0,0,0]     => 2
[1,0,1,1,1,1,0,0,1,1,0,0,0,0]     => 2
[1,0,1,1,1,1,0,1,0,0,0,0,1,0]     => 2
[1,0,1,1,1,1,0,1,0,0,0,1,0,0]     => 2
[1,0,1,1,1,1,0,1,0,0,1,0,0,0]     => 2
[1,0,1,1,1,1,0,1,0,1,0,0,0,0]     => 2
[1,0,1,1,1,1,0,1,1,0,0,0,0,0]     => 2
[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]     => 4
[1,1,0,0,1,0,1,0,1,0,1,0,1,0]     => 0
[1,1,0,0,1,0,1,0,1,0,1,1,0,0]     => 0
[1,1,0,0,1,0,1,0,1,1,0,0,1,0]     => 0
[1,1,0,0,1,0,1,0,1,1,0,1,0,0]     => 0
[1,1,0,0,1,0,1,0,1,1,1,0,0,0]     => 1
[1,1,0,0,1,0,1,1,0,0,1,0,1,0]     => 0
[1,1,0,0,1,0,1,1,0,0,1,1,0,0]     => 0
[1,1,0,0,1,0,1,1,0,1,0,0,1,0]     => 0
[1,1,0,0,1,0,1,1,0,1,0,1,0,0]     => 0
[1,1,0,0,1,0,1,1,0,1,1,0,0,0]     => 0
[1,1,0,0,1,0,1,1,1,0,0,0,1,0]     => 1
[1,1,0,0,1,0,1,1,1,0,0,1,0,0]     => 1
[1,1,0,0,1,0,1,1,1,0,1,0,0,0]     => 1
[1,1,0,0,1,0,1,1,1,1,0,0,0,0]     => 2
[1,1,0,0,1,1,0,0,1,0,1,0,1,0]     => 0
[1,1,0,0,1,1,0,0,1,0,1,1,0,0]     => 0
[1,1,0,0,1,1,0,0,1,1,0,0,1,0]     => 0
[1,1,0,0,1,1,0,0,1,1,0,1,0,0]     => 0
[1,1,0,0,1,1,0,0,1,1,1,0,0,0]     => 1
[1,1,0,0,1,1,0,1,0,0,1,0,1,0]     => 0
[1,1,0,0,1,1,0,1,0,0,1,1,0,0]     => 0
[1,1,0,0,1,1,0,1,0,1,0,0,1,0]     => 0
[1,1,0,0,1,1,0,1,0,1,0,1,0,0]     => 0
[1,1,0,0,1,1,0,1,0,1,1,0,0,0]     => 0
[1,1,0,0,1,1,0,1,1,0,0,0,1,0]     => 0
[1,1,0,0,1,1,0,1,1,0,0,1,0,0]     => 0
[1,1,0,0,1,1,0,1,1,0,1,0,0,0]     => 0
[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]     => 1
[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]     => 1
[1,1,0,0,1,1,1,0,0,1,0,1,0,0]     => 1
[1,1,0,0,1,1,1,0,0,1,1,0,0,0]     => 1
[1,1,0,0,1,1,1,0,1,0,0,0,1,0]     => 1
[1,1,0,0,1,1,1,0,1,0,0,1,0,0]     => 1
[1,1,0,0,1,1,1,0,1,0,1,0,0,0]     => 1
[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]     => 2
[1,1,0,0,1,1,1,1,0,0,0,1,0,0]     => 2
[1,1,0,0,1,1,1,1,0,0,1,0,0,0]     => 2
[1,1,0,0,1,1,1,1,0,1,0,0,0,0]     => 2
[1,1,0,0,1,1,1,1,1,0,0,0,0,0]     => 3
[1,1,0,1,0,0,1,0,1,0,1,0,1,0]     => 0
[1,1,0,1,0,0,1,0,1,0,1,1,0,0]     => 0
[1,1,0,1,0,0,1,0,1,1,0,0,1,0]     => 0
[1,1,0,1,0,0,1,0,1,1,0,1,0,0]     => 0
[1,1,0,1,0,0,1,0,1,1,1,0,0,0]     => 1
[1,1,0,1,0,0,1,1,0,0,1,0,1,0]     => 0
[1,1,0,1,0,0,1,1,0,0,1,1,0,0]     => 0
[1,1,0,1,0,0,1,1,0,1,0,0,1,0]     => 0
[1,1,0,1,0,0,1,1,0,1,0,1,0,0]     => 0
[1,1,0,1,0,0,1,1,0,1,1,0,0,0]     => 0
[1,1,0,1,0,0,1,1,1,0,0,0,1,0]     => 1
[1,1,0,1,0,0,1,1,1,0,0,1,0,0]     => 1
[1,1,0,1,0,0,1,1,1,0,1,0,0,0]     => 1
[1,1,0,1,0,0,1,1,1,1,0,0,0,0]     => 2
[1,1,0,1,0,1,0,0,1,0,1,0,1,0]     => 0
[1,1,0,1,0,1,0,0,1,0,1,1,0,0]     => 0
[1,1,0,1,0,1,0,0,1,1,0,0,1,0]     => 0
[1,1,0,1,0,1,0,0,1,1,0,1,0,0]     => 0
[1,1,0,1,0,1,0,0,1,1,1,0,0,0]     => 1
[1,1,0,1,0,1,0,1,0,0,1,0,1,0]     => 0
[1,1,0,1,0,1,0,1,0,0,1,1,0,0]     => 0
[1,1,0,1,0,1,0,1,0,1,0,0,1,0]     => 0
[1,1,0,1,0,1,0,1,0,1,0,1,0,0]     => 0
[1,1,0,1,0,1,0,1,0,1,1,0,0,0]     => 0
[1,1,0,1,0,1,0,1,1,0,0,0,1,0]     => 0
[1,1,0,1,0,1,0,1,1,0,0,1,0,0]     => 0
[1,1,0,1,0,1,0,1,1,0,1,0,0,0]     => 0
[1,1,0,1,0,1,0,1,1,1,0,0,0,0]     => 1
[1,1,0,1,0,1,1,0,0,0,1,0,1,0]     => 0
[1,1,0,1,0,1,1,0,0,0,1,1,0,0]     => 0
[1,1,0,1,0,1,1,0,0,1,0,0,1,0]     => 0
[1,1,0,1,0,1,1,0,0,1,0,1,0,0]     => 0
[1,1,0,1,0,1,1,0,0,1,1,0,0,0]     => 0
[1,1,0,1,0,1,1,0,1,0,0,0,1,0]     => 0
[1,1,0,1,0,1,1,0,1,0,0,1,0,0]     => 0
[1,1,0,1,0,1,1,0,1,0,1,0,0,0]     => 0
[1,1,0,1,0,1,1,0,1,1,0,0,0,0]     => 0
[1,1,0,1,0,1,1,1,0,0,0,0,1,0]     => 1
[1,1,0,1,0,1,1,1,0,0,0,1,0,0]     => 1
[1,1,0,1,0,1,1,1,0,0,1,0,0,0]     => 1
[1,1,0,1,0,1,1,1,0,1,0,0,0,0]     => 1
[1,1,0,1,0,1,1,1,1,0,0,0,0,0]     => 2
[1,1,0,1,1,0,0,0,1,0,1,0,1,0]     => 0
[1,1,0,1,1,0,0,0,1,0,1,1,0,0]     => 0
[1,1,0,1,1,0,0,0,1,1,0,0,1,0]     => 0
[1,1,0,1,1,0,0,0,1,1,0,1,0,0]     => 0
[1,1,0,1,1,0,0,0,1,1,1,0,0,0]     => 1
[1,1,0,1,1,0,0,1,0,0,1,0,1,0]     => 0
[1,1,0,1,1,0,0,1,0,0,1,1,0,0]     => 0
[1,1,0,1,1,0,0,1,0,1,0,0,1,0]     => 0
[1,1,0,1,1,0,0,1,0,1,0,1,0,0]     => 0
[1,1,0,1,1,0,0,1,0,1,1,0,0,0]     => 0
[1,1,0,1,1,0,0,1,1,0,0,0,1,0]     => 0
[1,1,0,1,1,0,0,1,1,0,0,1,0,0]     => 0
[1,1,0,1,1,0,0,1,1,0,1,0,0,0]     => 0
[1,1,0,1,1,0,0,1,1,1,0,0,0,0]     => 1
[1,1,0,1,1,0,1,0,0,0,1,0,1,0]     => 0
[1,1,0,1,1,0,1,0,0,0,1,1,0,0]     => 0
[1,1,0,1,1,0,1,0,0,1,0,0,1,0]     => 0
[1,1,0,1,1,0,1,0,0,1,0,1,0,0]     => 0
[1,1,0,1,1,0,1,0,0,1,1,0,0,0]     => 0
[1,1,0,1,1,0,1,0,1,0,0,0,1,0]     => 0
[1,1,0,1,1,0,1,0,1,0,0,1,0,0]     => 0
[1,1,0,1,1,0,1,0,1,0,1,0,0,0]     => 0
[1,1,0,1,1,0,1,0,1,1,0,0,0,0]     => 0
[1,1,0,1,1,0,1,1,0,0,0,0,1,0]     => 0
[1,1,0,1,1,0,1,1,0,0,0,1,0,0]     => 0
[1,1,0,1,1,0,1,1,0,0,1,0,0,0]     => 0
[1,1,0,1,1,0,1,1,0,1,0,0,0,0]     => 0
[1,1,0,1,1,0,1,1,1,0,0,0,0,0]     => 1
[1,1,0,1,1,1,0,0,0,0,1,0,1,0]     => 1
[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]     => 1
[1,1,0,1,1,1,0,0,0,1,0,1,0,0]     => 1
[1,1,0,1,1,1,0,0,0,1,1,0,0,0]     => 1
[1,1,0,1,1,1,0,0,1,0,0,0,1,0]     => 1
[1,1,0,1,1,1,0,0,1,0,0,1,0,0]     => 1
[1,1,0,1,1,1,0,0,1,0,1,0,0,0]     => 1
[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]     => 1
[1,1,0,1,1,1,0,1,0,0,0,1,0,0]     => 1
[1,1,0,1,1,1,0,1,0,0,1,0,0,0]     => 1
[1,1,0,1,1,1,0,1,0,1,0,0,0,0]     => 1
[1,1,0,1,1,1,0,1,1,0,0,0,0,0]     => 1
[1,1,0,1,1,1,1,0,0,0,0,0,1,0]     => 2
[1,1,0,1,1,1,1,0,0,0,0,1,0,0]     => 2
[1,1,0,1,1,1,1,0,0,0,1,0,0,0]     => 2
[1,1,0,1,1,1,1,0,0,1,0,0,0,0]     => 2
[1,1,0,1,1,1,1,0,1,0,0,0,0,0]     => 2
[1,1,0,1,1,1,1,1,0,0,0,0,0,0]     => 3
[1,1,1,0,0,0,1,0,1,0,1,0,1,0]     => 1
[1,1,1,0,0,0,1,0,1,0,1,1,0,0]     => 1
[1,1,1,0,0,0,1,0,1,1,0,0,1,0]     => 1
[1,1,1,0,0,0,1,0,1,1,0,1,0,0]     => 1
[1,1,1,0,0,0,1,0,1,1,1,0,0,0]     => 2
[1,1,1,0,0,0,1,1,0,0,1,0,1,0]     => 1
[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]     => 1
[1,1,1,0,0,0,1,1,0,1,0,1,0,0]     => 1
[1,1,1,0,0,0,1,1,0,1,1,0,0,0]     => 1
[1,1,1,0,0,0,1,1,1,0,0,0,1,0]     => 2
[1,1,1,0,0,0,1,1,1,0,0,1,0,0]     => 2
[1,1,1,0,0,0,1,1,1,0,1,0,0,0]     => 2
[1,1,1,0,0,0,1,1,1,1,0,0,0,0]     => 3
[1,1,1,0,0,1,0,0,1,0,1,0,1,0]     => 1
[1,1,1,0,0,1,0,0,1,0,1,1,0,0]     => 1
[1,1,1,0,0,1,0,0,1,1,0,0,1,0]     => 1
[1,1,1,0,0,1,0,0,1,1,0,1,0,0]     => 1
[1,1,1,0,0,1,0,0,1,1,1,0,0,0]     => 2
[1,1,1,0,0,1,0,1,0,0,1,0,1,0]     => 1
[1,1,1,0,0,1,0,1,0,0,1,1,0,0]     => 1
[1,1,1,0,0,1,0,1,0,1,0,0,1,0]     => 1
[1,1,1,0,0,1,0,1,0,1,0,1,0,0]     => 1
[1,1,1,0,0,1,0,1,0,1,1,0,0,0]     => 1
[1,1,1,0,0,1,0,1,1,0,0,0,1,0]     => 1
[1,1,1,0,0,1,0,1,1,0,0,1,0,0]     => 1
[1,1,1,0,0,1,0,1,1,0,1,0,0,0]     => 1
[1,1,1,0,0,1,0,1,1,1,0,0,0,0]     => 2
[1,1,1,0,0,1,1,0,0,0,1,0,1,0]     => 1
[1,1,1,0,0,1,1,0,0,0,1,1,0,0]     => 1
[1,1,1,0,0,1,1,0,0,1,0,0,1,0]     => 1
[1,1,1,0,0,1,1,0,0,1,0,1,0,0]     => 1
[1,1,1,0,0,1,1,0,0,1,1,0,0,0]     => 1
[1,1,1,0,0,1,1,0,1,0,0,0,1,0]     => 1
[1,1,1,0,0,1,1,0,1,0,0,1,0,0]     => 1
[1,1,1,0,0,1,1,0,1,0,1,0,0,0]     => 1
[1,1,1,0,0,1,1,0,1,1,0,0,0,0]     => 1
[1,1,1,0,0,1,1,1,0,0,0,0,1,0]     => 2
[1,1,1,0,0,1,1,1,0,0,0,1,0,0]     => 2
[1,1,1,0,0,1,1,1,0,0,1,0,0,0]     => 2
[1,1,1,0,0,1,1,1,0,1,0,0,0,0]     => 2
[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]     => 1
[1,1,1,0,1,0,0,0,1,0,1,1,0,0]     => 1
[1,1,1,0,1,0,0,0,1,1,0,0,1,0]     => 1
[1,1,1,0,1,0,0,0,1,1,0,1,0,0]     => 1
[1,1,1,0,1,0,0,0,1,1,1,0,0,0]     => 2
[1,1,1,0,1,0,0,1,0,0,1,0,1,0]     => 1
[1,1,1,0,1,0,0,1,0,0,1,1,0,0]     => 1
[1,1,1,0,1,0,0,1,0,1,0,0,1,0]     => 1
[1,1,1,0,1,0,0,1,0,1,0,1,0,0]     => 1
[1,1,1,0,1,0,0,1,0,1,1,0,0,0]     => 1
[1,1,1,0,1,0,0,1,1,0,0,0,1,0]     => 1
[1,1,1,0,1,0,0,1,1,0,0,1,0,0]     => 1
[1,1,1,0,1,0,0,1,1,0,1,0,0,0]     => 1
[1,1,1,0,1,0,0,1,1,1,0,0,0,0]     => 2
[1,1,1,0,1,0,1,0,0,0,1,0,1,0]     => 1
[1,1,1,0,1,0,1,0,0,0,1,1,0,0]     => 1
[1,1,1,0,1,0,1,0,0,1,0,0,1,0]     => 1
[1,1,1,0,1,0,1,0,0,1,0,1,0,0]     => 1
[1,1,1,0,1,0,1,0,0,1,1,0,0,0]     => 1
[1,1,1,0,1,0,1,0,1,0,0,0,1,0]     => 1
[1,1,1,0,1,0,1,0,1,0,0,1,0,0]     => 1
[1,1,1,0,1,0,1,0,1,0,1,0,0,0]     => 1
[1,1,1,0,1,0,1,0,1,1,0,0,0,0]     => 1
[1,1,1,0,1,0,1,1,0,0,0,0,1,0]     => 1
[1,1,1,0,1,0,1,1,0,0,0,1,0,0]     => 1
[1,1,1,0,1,0,1,1,0,0,1,0,0,0]     => 1
[1,1,1,0,1,0,1,1,0,1,0,0,0,0]     => 1
[1,1,1,0,1,0,1,1,1,0,0,0,0,0]     => 2
[1,1,1,0,1,1,0,0,0,0,1,0,1,0]     => 1
[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]     => 1
[1,1,1,0,1,1,0,0,0,1,0,1,0,0]     => 1
[1,1,1,0,1,1,0,0,0,1,1,0,0,0]     => 1
[1,1,1,0,1,1,0,0,1,0,0,0,1,0]     => 1
[1,1,1,0,1,1,0,0,1,0,0,1,0,0]     => 1
[1,1,1,0,1,1,0,0,1,0,1,0,0,0]     => 1
[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]     => 1
[1,1,1,0,1,1,0,1,0,0,0,1,0,0]     => 1
[1,1,1,0,1,1,0,1,0,0,1,0,0,0]     => 1
[1,1,1,0,1,1,0,1,0,1,0,0,0,0]     => 1
[1,1,1,0,1,1,0,1,1,0,0,0,0,0]     => 1
[1,1,1,0,1,1,1,0,0,0,0,0,1,0]     => 2
[1,1,1,0,1,1,1,0,0,0,0,1,0,0]     => 2
[1,1,1,0,1,1,1,0,0,0,1,0,0,0]     => 2
[1,1,1,0,1,1,1,0,0,1,0,0,0,0]     => 2
[1,1,1,0,1,1,1,0,1,0,0,0,0,0]     => 2
[1,1,1,0,1,1,1,1,0,0,0,0,0,0]     => 3
[1,1,1,1,0,0,0,0,1,0,1,0,1,0]     => 2
[1,1,1,1,0,0,0,0,1,0,1,1,0,0]     => 2
[1,1,1,1,0,0,0,0,1,1,0,0,1,0]     => 2
[1,1,1,1,0,0,0,0,1,1,0,1,0,0]     => 2
[1,1,1,1,0,0,0,0,1,1,1,0,0,0]     => 3
[1,1,1,1,0,0,0,1,0,0,1,0,1,0]     => 2
[1,1,1,1,0,0,0,1,0,0,1,1,0,0]     => 2
[1,1,1,1,0,0,0,1,0,1,0,0,1,0]     => 2
[1,1,1,1,0,0,0,1,0,1,0,1,0,0]     => 2
[1,1,1,1,0,0,0,1,0,1,1,0,0,0]     => 2
[1,1,1,1,0,0,0,1,1,0,0,0,1,0]     => 2
[1,1,1,1,0,0,0,1,1,0,0,1,0,0]     => 2
[1,1,1,1,0,0,0,1,1,0,1,0,0,0]     => 2
[1,1,1,1,0,0,0,1,1,1,0,0,0,0]     => 3
[1,1,1,1,0,0,1,0,0,0,1,0,1,0]     => 2
[1,1,1,1,0,0,1,0,0,0,1,1,0,0]     => 2
[1,1,1,1,0,0,1,0,0,1,0,0,1,0]     => 2
[1,1,1,1,0,0,1,0,0,1,0,1,0,0]     => 2
[1,1,1,1,0,0,1,0,0,1,1,0,0,0]     => 2
[1,1,1,1,0,0,1,0,1,0,0,0,1,0]     => 2
[1,1,1,1,0,0,1,0,1,0,0,1,0,0]     => 2
[1,1,1,1,0,0,1,0,1,0,1,0,0,0]     => 2
[1,1,1,1,0,0,1,0,1,1,0,0,0,0]     => 2
[1,1,1,1,0,0,1,1,0,0,0,0,1,0]     => 2
[1,1,1,1,0,0,1,1,0,0,0,1,0,0]     => 2
[1,1,1,1,0,0,1,1,0,0,1,0,0,0]     => 2
[1,1,1,1,0,0,1,1,0,1,0,0,0,0]     => 2
[1,1,1,1,0,0,1,1,1,0,0,0,0,0]     => 3
[1,1,1,1,0,1,0,0,0,0,1,0,1,0]     => 2
[1,1,1,1,0,1,0,0,0,0,1,1,0,0]     => 2
[1,1,1,1,0,1,0,0,0,1,0,0,1,0]     => 2
[1,1,1,1,0,1,0,0,0,1,0,1,0,0]     => 2
[1,1,1,1,0,1,0,0,0,1,1,0,0,0]     => 2
[1,1,1,1,0,1,0,0,1,0,0,0,1,0]     => 2
[1,1,1,1,0,1,0,0,1,0,0,1,0,0]     => 2
[1,1,1,1,0,1,0,0,1,0,1,0,0,0]     => 2
[1,1,1,1,0,1,0,0,1,1,0,0,0,0]     => 2
[1,1,1,1,0,1,0,1,0,0,0,0,1,0]     => 2
[1,1,1,1,0,1,0,1,0,0,0,1,0,0]     => 2
[1,1,1,1,0,1,0,1,0,0,1,0,0,0]     => 2
[1,1,1,1,0,1,0,1,0,1,0,0,0,0]     => 2
[1,1,1,1,0,1,0,1,1,0,0,0,0,0]     => 2
[1,1,1,1,0,1,1,0,0,0,0,0,1,0]     => 2
[1,1,1,1,0,1,1,0,0,0,0,1,0,0]     => 2
[1,1,1,1,0,1,1,0,0,0,1,0,0,0]     => 2
[1,1,1,1,0,1,1,0,0,1,0,0,0,0]     => 2
[1,1,1,1,0,1,1,0,1,0,0,0,0,0]     => 2
[1,1,1,1,0,1,1,1,0,0,0,0,0,0]     => 3
[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]     => 3
[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]     => 3
[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]     => 3
[1,1,1,1,1,1,0,0,0,0,0,0,1,0]     => 4
[1,1,1,1,1,1,0,0,0,0,0,1,0,0]     => 4
[1,1,1,1,1,1,0,0,0,0,1,0,0,0]     => 4
[1,1,1,1,1,1,0,0,0,1,0,0,0,0]     => 4
[1,1,1,1,1,1,0,0,1,0,0,0,0,0]     => 4
[1,1,1,1,1,1,0,1,0,0,0,0,0,0]     => 4
[1,1,1,1,1,1,1,0,0,0,0,0,0,0]     => 5
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 0
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 0
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 0
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 1
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 0
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 0
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 0
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 0
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 0
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 1
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 1
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 1
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 2
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 0
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 0
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 0
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 0
[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 1
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 0
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 0
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 0
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 0
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 0
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 0
[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 0
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 0
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 1
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 1
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 1
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 1
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 1
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 1
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 1
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 1
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 1
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 1
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 2
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 2
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 2
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 2
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 3
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 0
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 0
[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 0
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 0
[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 1
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 0
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 0
[1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 0
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 0
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 0
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 1
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 1
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 1
[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] => 0
[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 0
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 0
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 0
[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 1
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 0
[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 0
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 0
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 0
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 0
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 0
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 0
[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 0
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 1
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 0
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 0
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 0
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 0
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 0
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 0
[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 0
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 0
[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 0
[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 1
[1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 1
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 1
[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 1
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 2
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 1
[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 1
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 1
[1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 1
[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 2
[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 1
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 1
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 1
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 1
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 1
[1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 1
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 1
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 1
[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 2
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 1
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 1
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 1
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 1
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 1
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 1
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 1
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 1
[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 1
[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 1
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 1
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 1
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 1
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 2
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 2
[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] => 2
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 2
[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 2
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 2
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 2
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 2
[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] => 2
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 2
[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 2
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 2
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 2
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 3
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 3
[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 3
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 3
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 3
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 4
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 0
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 0
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 0
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 0
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 1
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 0
[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 0
[1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 0
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 0
[1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 0
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 1
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 1
[1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 1
[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] => 0
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 0
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 0
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 0
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 1
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 0
[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 0
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 0
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 0
[1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 0
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 0
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 0
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 0
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 1
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 1
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 1
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 1
[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 1
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 1
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 1
[1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 1
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 1
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 1
[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] => 3
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 0
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 0
[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 0
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 0
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 1
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 0
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 0
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 0
[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 0
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 0
[1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 1
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 1
[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 1
[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] => 0
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 0
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 0
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 0
[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 1
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 0
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 0
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 0
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 0
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 0
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 0
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 0
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 0
[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 1
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 0
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 0
[1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 0
[1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 0
[1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 0
[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 0
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 0
[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 0
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 0
[1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 1
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 1
[1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 1
[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 1
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 2
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 0
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 0
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 0
[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 0
[1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 1
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 0
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 0
[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 0
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 0
[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 0
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 0
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 0
[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 0
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 1
[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 0
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 0
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 0
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 0
[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 0
[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 0
[1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 0
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 0
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 0
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 0
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 0
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 0
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 0
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 1
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 1
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 1
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 1
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 1
[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 1
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 1
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 1
[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 1
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 1
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 1
[1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 1
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 1
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 1
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 1
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 2
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 2
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 2
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 3
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 1
[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 1
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 1
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 1
[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 2
[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 1
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 1
[1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 1
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 1
[1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 1
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 2
[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 2
[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 2
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 1
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 1
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 1
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 1
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 1
[1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 1
[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 1
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 1
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 1
[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 1
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 1
[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 1
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 2
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 1
[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 1
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 1
[1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 1
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 1
[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 1
[1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 1
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 1
[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 1
[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 2
[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 2
[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 2
[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 1
[1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 1
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 1
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 1
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 1
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 1
[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 1
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 1
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 1
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 1
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 1
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 1
[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 1
[1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 1
[1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 1
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 1
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 1
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 1
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 1
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 1
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 1
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 1
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 1
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 1
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 1
[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 2
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 1
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 1
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 1
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 1
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 1
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 1
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 1
[1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 1
[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 1
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 1
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 1
[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 1
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 1
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 1
[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 2
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 2
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 2
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 2
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 2
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 3
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 2
[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] => 3
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 2
[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] => 2
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 2
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 2
[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 2
[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 2
[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 3
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 2
[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] => 2
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 2
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 2
[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 2
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 2
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 2
[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] => 3
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 2
[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] => 2
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 2
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 2
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 2
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 2
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 2
[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] => 2
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 2
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 2
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 2
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 2
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 2
[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 2
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 2
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 2
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 2
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 3
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 3
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 3
[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 3
[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 3
[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 3
[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 3
[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 3
[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 3
[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 3
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 3
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 3
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 3
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 3
[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 3
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 3
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 3
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 3
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 3
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 3
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 3
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 4
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 4
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 4
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 4
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 4
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 4
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 5
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 0
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 0
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 0
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 1
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 0
[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 0
[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => 0
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => 0
[1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => 0
[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 1
[1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => 1
[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => 1
[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] => 0
[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 0
[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 0
[1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => 0
[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 1
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => 0
[1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => 0
[1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => 0
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => 0
[1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => 0
[1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => 0
[1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => 0
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => 0
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => 1
[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 1
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 1
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => 1
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => 1
[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => 1
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => 1
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => 1
[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => 1
[1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => 1
[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] => 3
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 0
[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 0
[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 0
[1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => 0
[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 1
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 0
[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] => 0
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => 0
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => 0
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 1
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 1
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => 1
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 2
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 0
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 0
[1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 0
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 0
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 1
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 0
[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 0
[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => 0
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => 0
[1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => 0
[1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => 0
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => 0
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => 0
[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => 1
[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 0
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 0
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 0
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => 0
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => 0
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => 0
[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => 0
[1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => 0
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => 0
[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => 1
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => 1
[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => 1
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => 1
[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] => 1
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 1
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 1
[1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 1
[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] => 1
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 1
[1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 1
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => 1
[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => 1
[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 1
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 1
[1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => 1
[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] => 1
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 1
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 1
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => 1
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => 1
[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => 1
[1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => 1
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => 1
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => 1
[1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => 1
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => 1
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => 1
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => 1
[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] => 2
[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] => 2
[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] => 3
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => 3
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => 3
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => 3
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => 3
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 4
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 0
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => 0
[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => 0
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => 0
[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => 1
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 0
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 0
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 0
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => 0
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => 0
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 1
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 1
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => 1
[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] => 0

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Created: Aug 09, 2017 at 14:30 by Christian Stump

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Last Updated: Aug 09, 2017 at 14:30 by Christian Stump