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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: St000052

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

-----------------------------------------------------------------------------
Description: The number of valleys of a Dyck path not on the x-axis.

That is, the number of valleys of nonminimal height.  This corresponds to the number of -1's in an inclusion of Dyck paths into alternating sign matrices.

-----------------------------------------------------------------------------
References: 

-----------------------------------------------------------------------------
Code:
def statistic(r):
    p=r.heights()
    lp=0
    for y in range(len(p)-2):
        if p[y]>p[y+1]<p[y+2] and p[y+1]!=0:
            lp=lp+1
    return lp


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

[]                                                => 0
[1,0]                                             => 0
[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]                                     => 1
[1,1,1,0,0,0]                                     => 0
[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]                                 => 1
[1,0,1,1,1,0,0,0]                                 => 0
[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]                                 => 1
[1,1,0,1,0,1,0,0]                                 => 2
[1,1,0,1,1,0,0,0]                                 => 1
[1,1,1,0,0,0,1,0]                                 => 0
[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]                                 => 0
[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]                             => 1
[1,0,1,0,1,1,1,0,0,0]                             => 0
[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]                             => 1
[1,0,1,1,0,1,0,1,0,0]                             => 2
[1,0,1,1,0,1,1,0,0,0]                             => 1
[1,0,1,1,1,0,0,0,1,0]                             => 0
[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]                             => 0
[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]                             => 1
[1,1,0,0,1,1,1,0,0,0]                             => 0
[1,1,0,1,0,0,1,0,1,0]                             => 1
[1,1,0,1,0,0,1,1,0,0]                             => 1
[1,1,0,1,0,1,0,0,1,0]                             => 2
[1,1,0,1,0,1,0,1,0,0]                             => 3
[1,1,0,1,0,1,1,0,0,0]                             => 2
[1,1,0,1,1,0,0,0,1,0]                             => 1
[1,1,0,1,1,0,0,1,0,0]                             => 2
[1,1,0,1,1,0,1,0,0,0]                             => 2
[1,1,0,1,1,1,0,0,0,0]                             => 1
[1,1,1,0,0,0,1,0,1,0]                             => 0
[1,1,1,0,0,0,1,1,0,0]                             => 0
[1,1,1,0,0,1,0,0,1,0]                             => 1
[1,1,1,0,0,1,0,1,0,0]                             => 2
[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]                             => 2
[1,1,1,0,1,0,1,0,0,0]                             => 2
[1,1,1,0,1,1,0,0,0,0]                             => 1
[1,1,1,1,0,0,0,0,1,0]                             => 0
[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]                             => 0
[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]                         => 1
[1,0,1,0,1,0,1,1,1,0,0,0]                         => 0
[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]                         => 1
[1,0,1,0,1,1,0,1,0,1,0,0]                         => 2
[1,0,1,0,1,1,0,1,1,0,0,0]                         => 1
[1,0,1,0,1,1,1,0,0,0,1,0]                         => 0
[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]                         => 0
[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]                         => 1
[1,0,1,1,0,0,1,1,1,0,0,0]                         => 0
[1,0,1,1,0,1,0,0,1,0,1,0]                         => 1
[1,0,1,1,0,1,0,0,1,1,0,0]                         => 1
[1,0,1,1,0,1,0,1,0,0,1,0]                         => 2
[1,0,1,1,0,1,0,1,0,1,0,0]                         => 3
[1,0,1,1,0,1,0,1,1,0,0,0]                         => 2
[1,0,1,1,0,1,1,0,0,0,1,0]                         => 1
[1,0,1,1,0,1,1,0,0,1,0,0]                         => 2
[1,0,1,1,0,1,1,0,1,0,0,0]                         => 2
[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]                         => 0
[1,0,1,1,1,0,0,0,1,1,0,0]                         => 0
[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]                         => 2
[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]                         => 2
[1,0,1,1,1,0,1,0,1,0,0,0]                         => 2
[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]                         => 0
[1,0,1,1,1,1,0,0,0,1,0,0]                         => 1
[1,0,1,1,1,1,0,0,1,0,0,0]                         => 1
[1,0,1,1,1,1,0,1,0,0,0,0]                         => 1
[1,0,1,1,1,1,1,0,0,0,0,0]                         => 0
[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]                         => 1
[1,1,0,0,1,0,1,1,1,0,0,0]                         => 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]                         => 0
[1,1,0,0,1,1,0,1,0,0,1,0]                         => 1
[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]                         => 1
[1,1,0,0,1,1,1,0,0,0,1,0]                         => 0
[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]                         => 0
[1,1,0,1,0,0,1,0,1,0,1,0]                         => 1
[1,1,0,1,0,0,1,0,1,1,0,0]                         => 1
[1,1,0,1,0,0,1,1,0,0,1,0]                         => 1
[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]                         => 1
[1,1,0,1,0,1,0,0,1,0,1,0]                         => 2
[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]                         => 3
[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]                         => 3
[1,1,0,1,0,1,1,0,0,0,1,0]                         => 2
[1,1,0,1,0,1,1,0,0,1,0,0]                         => 3
[1,1,0,1,0,1,1,0,1,0,0,0]                         => 3
[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]                         => 1
[1,1,0,1,1,0,0,0,1,1,0,0]                         => 1
[1,1,0,1,1,0,0,1,0,0,1,0]                         => 2
[1,1,0,1,1,0,0,1,0,1,0,0]                         => 3
[1,1,0,1,1,0,0,1,1,0,0,0]                         => 2
[1,1,0,1,1,0,1,0,0,0,1,0]                         => 2
[1,1,0,1,1,0,1,0,0,1,0,0]                         => 3
[1,1,0,1,1,0,1,0,1,0,0,0]                         => 3
[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]                         => 1
[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]                         => 1
[1,1,1,0,0,0,1,0,1,0,1,0]                         => 0
[1,1,1,0,0,0,1,0,1,1,0,0]                         => 0
[1,1,1,0,0,0,1,1,0,0,1,0]                         => 0
[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]                         => 0
[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]                         => 2
[1,1,1,0,0,1,0,1,0,1,0,0]                         => 3
[1,1,1,0,0,1,0,1,1,0,0,0]                         => 2
[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]                         => 2
[1,1,1,0,0,1,1,0,1,0,0,0]                         => 2
[1,1,1,0,0,1,1,1,0,0,0,0]                         => 1
[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]                         => 2
[1,1,1,0,1,0,0,1,0,1,0,0]                         => 3
[1,1,1,0,1,0,0,1,1,0,0,0]                         => 2
[1,1,1,0,1,0,1,0,0,0,1,0]                         => 2
[1,1,1,0,1,0,1,0,0,1,0,0]                         => 3
[1,1,1,0,1,0,1,0,1,0,0,0]                         => 3
[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]                         => 1
[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]                         => 1
[1,1,1,1,0,0,0,0,1,0,1,0]                         => 0
[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]                         => 1
[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]                         => 1
[1,1,1,1,0,0,1,0,0,0,1,0]                         => 1
[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]                         => 1
[1,1,1,1,0,1,0,0,0,0,1,0]                         => 1
[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]                         => 1
[1,1,1,1,1,0,0,0,0,0,1,0]                         => 0
[1,1,1,1,1,0,0,0,0,1,0,0]                         => 1
[1,1,1,1,1,0,0,0,1,0,0,0]                         => 1
[1,1,1,1,1,0,0,1,0,0,0,0]                         => 1
[1,1,1,1,1,0,1,0,0,0,0,0]                         => 1
[1,1,1,1,1,1,0,0,0,0,0,0]                         => 0
[1,0,1,0,1,0,1,0,1,0,1,0,1,0]                     => 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]                     => 1
[1,0,1,0,1,0,1,0,1,1,1,0,0,0]                     => 0
[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]                     => 1
[1,0,1,0,1,0,1,1,0,1,0,1,0,0]                     => 2
[1,0,1,0,1,0,1,1,0,1,1,0,0,0]                     => 1
[1,0,1,0,1,0,1,1,1,0,0,0,1,0]                     => 0
[1,0,1,0,1,0,1,1,1,0,0,1,0,0]                     => 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]                     => 0
[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]                     => 1
[1,0,1,0,1,1,0,0,1,1,1,0,0,0]                     => 0
[1,0,1,0,1,1,0,1,0,0,1,0,1,0]                     => 1
[1,0,1,0,1,1,0,1,0,0,1,1,0,0]                     => 1
[1,0,1,0,1,1,0,1,0,1,0,0,1,0]                     => 2
[1,0,1,0,1,1,0,1,0,1,0,1,0,0]                     => 3
[1,0,1,0,1,1,0,1,0,1,1,0,0,0]                     => 2
[1,0,1,0,1,1,0,1,1,0,0,0,1,0]                     => 1
[1,0,1,0,1,1,0,1,1,0,0,1,0,0]                     => 2
[1,0,1,0,1,1,0,1,1,0,1,0,0,0]                     => 2
[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]                     => 0
[1,0,1,0,1,1,1,0,0,0,1,1,0,0]                     => 0
[1,0,1,0,1,1,1,0,0,1,0,0,1,0]                     => 1
[1,0,1,0,1,1,1,0,0,1,0,1,0,0]                     => 2
[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]                     => 2
[1,0,1,0,1,1,1,0,1,0,1,0,0,0]                     => 2
[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]                     => 0
[1,0,1,0,1,1,1,1,0,0,0,1,0,0]                     => 1
[1,0,1,0,1,1,1,1,0,0,1,0,0,0]                     => 1
[1,0,1,0,1,1,1,1,0,1,0,0,0,0]                     => 1
[1,0,1,0,1,1,1,1,1,0,0,0,0,0]                     => 0
[1,0,1,1,0,0,1,0,1,0,1,0,1,0]                     => 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]                     => 1
[1,0,1,1,0,0,1,0,1,1,1,0,0,0]                     => 0
[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]                     => 1
[1,0,1,1,0,0,1,1,0,1,0,1,0,0]                     => 2
[1,0,1,1,0,0,1,1,0,1,1,0,0,0]                     => 1
[1,0,1,1,0,0,1,1,1,0,0,0,1,0]                     => 0
[1,0,1,1,0,0,1,1,1,0,0,1,0,0]                     => 1
[1,0,1,1,0,0,1,1,1,0,1,0,0,0]                     => 1
[1,0,1,1,0,0,1,1,1,1,0,0,0,0]                     => 0
[1,0,1,1,0,1,0,0,1,0,1,0,1,0]                     => 1
[1,0,1,1,0,1,0,0,1,0,1,1,0,0]                     => 1
[1,0,1,1,0,1,0,0,1,1,0,0,1,0]                     => 1
[1,0,1,1,0,1,0,0,1,1,0,1,0,0]                     => 2
[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]                     => 2
[1,0,1,1,0,1,0,1,0,0,1,1,0,0]                     => 2
[1,0,1,1,0,1,0,1,0,1,0,0,1,0]                     => 3
[1,0,1,1,0,1,0,1,0,1,0,1,0,0]                     => 4
[1,0,1,1,0,1,0,1,0,1,1,0,0,0]                     => 3
[1,0,1,1,0,1,0,1,1,0,0,0,1,0]                     => 2
[1,0,1,1,0,1,0,1,1,0,0,1,0,0]                     => 3
[1,0,1,1,0,1,0,1,1,0,1,0,0,0]                     => 3
[1,0,1,1,0,1,0,1,1,1,0,0,0,0]                     => 2
[1,0,1,1,0,1,1,0,0,0,1,0,1,0]                     => 1
[1,0,1,1,0,1,1,0,0,0,1,1,0,0]                     => 1
[1,0,1,1,0,1,1,0,0,1,0,0,1,0]                     => 2
[1,0,1,1,0,1,1,0,0,1,0,1,0,0]                     => 3
[1,0,1,1,0,1,1,0,0,1,1,0,0,0]                     => 2
[1,0,1,1,0,1,1,0,1,0,0,0,1,0]                     => 2
[1,0,1,1,0,1,1,0,1,0,0,1,0,0]                     => 3
[1,0,1,1,0,1,1,0,1,0,1,0,0,0]                     => 3
[1,0,1,1,0,1,1,0,1,1,0,0,0,0]                     => 2
[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]                     => 2
[1,0,1,1,0,1,1,1,0,0,1,0,0,0]                     => 2
[1,0,1,1,0,1,1,1,0,1,0,0,0,0]                     => 2
[1,0,1,1,0,1,1,1,1,0,0,0,0,0]                     => 1
[1,0,1,1,1,0,0,0,1,0,1,0,1,0]                     => 0
[1,0,1,1,1,0,0,0,1,0,1,1,0,0]                     => 0
[1,0,1,1,1,0,0,0,1,1,0,0,1,0]                     => 0
[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]                     => 0
[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]                     => 2
[1,0,1,1,1,0,0,1,0,1,0,1,0,0]                     => 3
[1,0,1,1,1,0,0,1,0,1,1,0,0,0]                     => 2
[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]                     => 2
[1,0,1,1,1,0,0,1,1,0,1,0,0,0]                     => 2
[1,0,1,1,1,0,0,1,1,1,0,0,0,0]                     => 1
[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]                     => 2
[1,0,1,1,1,0,1,0,0,1,0,1,0,0]                     => 3
[1,0,1,1,1,0,1,0,0,1,1,0,0,0]                     => 2
[1,0,1,1,1,0,1,0,1,0,0,0,1,0]                     => 2
[1,0,1,1,1,0,1,0,1,0,0,1,0,0]                     => 3
[1,0,1,1,1,0,1,0,1,0,1,0,0,0]                     => 3
[1,0,1,1,1,0,1,0,1,1,0,0,0,0]                     => 2
[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]                     => 2
[1,0,1,1,1,0,1,1,0,0,1,0,0,0]                     => 2
[1,0,1,1,1,0,1,1,0,1,0,0,0,0]                     => 2
[1,0,1,1,1,0,1,1,1,0,0,0,0,0]                     => 1
[1,0,1,1,1,1,0,0,0,0,1,0,1,0]                     => 0
[1,0,1,1,1,1,0,0,0,0,1,1,0,0]                     => 0
[1,0,1,1,1,1,0,0,0,1,0,0,1,0]                     => 1
[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]                     => 1
[1,0,1,1,1,1,0,0,1,0,0,0,1,0]                     => 1
[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]                     => 1
[1,0,1,1,1,1,0,1,0,0,0,0,1,0]                     => 1
[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]                     => 1
[1,0,1,1,1,1,1,0,0,0,0,0,1,0]                     => 0
[1,0,1,1,1,1,1,0,0,0,0,1,0,0]                     => 1
[1,0,1,1,1,1,1,0,0,0,1,0,0,0]                     => 1
[1,0,1,1,1,1,1,0,0,1,0,0,0,0]                     => 1
[1,0,1,1,1,1,1,0,1,0,0,0,0,0]                     => 1
[1,0,1,1,1,1,1,1,0,0,0,0,0,0]                     => 0
[1,1,0,0,1,0,1,0,1,0,1,0,1,0]                     => 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]                     => 1
[1,1,0,0,1,0,1,0,1,1,1,0,0,0]                     => 0
[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]                     => 1
[1,1,0,0,1,0,1,1,0,1,0,1,0,0]                     => 2
[1,1,0,0,1,0,1,1,0,1,1,0,0,0]                     => 1
[1,1,0,0,1,0,1,1,1,0,0,0,1,0]                     => 0
[1,1,0,0,1,0,1,1,1,0,0,1,0,0]                     => 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]                     => 0
[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]                     => 1
[1,1,0,0,1,1,0,0,1,1,1,0,0,0]                     => 0
[1,1,0,0,1,1,0,1,0,0,1,0,1,0]                     => 1
[1,1,0,0,1,1,0,1,0,0,1,1,0,0]                     => 1
[1,1,0,0,1,1,0,1,0,1,0,0,1,0]                     => 2
[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]                     => 2
[1,1,0,0,1,1,0,1,1,0,0,0,1,0]                     => 1
[1,1,0,0,1,1,0,1,1,0,0,1,0,0]                     => 2
[1,1,0,0,1,1,0,1,1,0,1,0,0,0]                     => 2
[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]                     => 0
[1,1,0,0,1,1,1,0,0,0,1,1,0,0]                     => 0
[1,1,0,0,1,1,1,0,0,1,0,0,1,0]                     => 1
[1,1,0,0,1,1,1,0,0,1,0,1,0,0]                     => 2
[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]                     => 2
[1,1,0,0,1,1,1,0,1,0,1,0,0,0]                     => 2
[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]                     => 0
[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]                     => 0
[1,1,0,1,0,0,1,0,1,0,1,0,1,0]                     => 1
[1,1,0,1,0,0,1,0,1,0,1,1,0,0]                     => 1
[1,1,0,1,0,0,1,0,1,1,0,0,1,0]                     => 1
[1,1,0,1,0,0,1,0,1,1,0,1,0,0]                     => 2
[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]                     => 1
[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]                     => 2
[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]                     => 2
[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]                     => 2
[1,1,0,1,0,0,1,1,1,0,1,0,0,0]                     => 2
[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]                     => 2
[1,1,0,1,0,1,0,0,1,0,1,1,0,0]                     => 2
[1,1,0,1,0,1,0,0,1,1,0,0,1,0]                     => 2
[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]                     => 2
[1,1,0,1,0,1,0,1,0,0,1,0,1,0]                     => 3
[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]                     => 4
[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]                     => 4
[1,1,0,1,0,1,0,1,1,0,0,0,1,0]                     => 3
[1,1,0,1,0,1,0,1,1,0,0,1,0,0]                     => 4
[1,1,0,1,0,1,0,1,1,0,1,0,0,0]                     => 4
[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]                     => 2
[1,1,0,1,0,1,1,0,0,0,1,1,0,0]                     => 2
[1,1,0,1,0,1,1,0,0,1,0,0,1,0]                     => 3
[1,1,0,1,0,1,1,0,0,1,0,1,0,0]                     => 4
[1,1,0,1,0,1,1,0,0,1,1,0,0,0]                     => 3
[1,1,0,1,0,1,1,0,1,0,0,0,1,0]                     => 3
[1,1,0,1,0,1,1,0,1,0,0,1,0,0]                     => 4
[1,1,0,1,0,1,1,0,1,0,1,0,0,0]                     => 4
[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]                     => 2
[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]                     => 2
[1,1,0,1,1,0,0,0,1,0,1,0,1,0]                     => 1
[1,1,0,1,1,0,0,0,1,0,1,1,0,0]                     => 1
[1,1,0,1,1,0,0,0,1,1,0,0,1,0]                     => 1
[1,1,0,1,1,0,0,0,1,1,0,1,0,0]                     => 2
[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]                     => 2
[1,1,0,1,1,0,0,1,0,0,1,1,0,0]                     => 2
[1,1,0,1,1,0,0,1,0,1,0,0,1,0]                     => 3
[1,1,0,1,1,0,0,1,0,1,0,1,0,0]                     => 4
[1,1,0,1,1,0,0,1,0,1,1,0,0,0]                     => 3
[1,1,0,1,1,0,0,1,1,0,0,0,1,0]                     => 2
[1,1,0,1,1,0,0,1,1,0,0,1,0,0]                     => 3
[1,1,0,1,1,0,0,1,1,0,1,0,0,0]                     => 3
[1,1,0,1,1,0,0,1,1,1,0,0,0,0]                     => 2
[1,1,0,1,1,0,1,0,0,0,1,0,1,0]                     => 2
[1,1,0,1,1,0,1,0,0,0,1,1,0,0]                     => 2
[1,1,0,1,1,0,1,0,0,1,0,0,1,0]                     => 3
[1,1,0,1,1,0,1,0,0,1,0,1,0,0]                     => 4
[1,1,0,1,1,0,1,0,0,1,1,0,0,0]                     => 3
[1,1,0,1,1,0,1,0,1,0,0,0,1,0]                     => 3
[1,1,0,1,1,0,1,0,1,0,0,1,0,0]                     => 4
[1,1,0,1,1,0,1,0,1,0,1,0,0,0]                     => 4
[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]                     => 2
[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]                     => 2
[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]                     => 2
[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]                     => 2
[1,1,0,1,1,1,0,0,1,0,0,0,1,0]                     => 2
[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]                     => 2
[1,1,0,1,1,1,0,1,0,0,0,0,1,0]                     => 2
[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]                     => 2
[1,1,0,1,1,1,1,0,0,0,0,0,1,0]                     => 1
[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]                     => 1
[1,1,1,0,0,0,1,0,1,0,1,0,1,0]                     => 0
[1,1,1,0,0,0,1,0,1,0,1,1,0,0]                     => 0
[1,1,1,0,0,0,1,0,1,1,0,0,1,0]                     => 0
[1,1,1,0,0,0,1,0,1,1,0,1,0,0]                     => 1
[1,1,1,0,0,0,1,0,1,1,1,0,0,0]                     => 0
[1,1,1,0,0,0,1,1,0,0,1,0,1,0]                     => 0
[1,1,1,0,0,0,1,1,0,0,1,1,0,0]                     => 0
[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]                     => 2
[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]                     => 0
[1,1,1,0,0,0,1,1,1,0,0,1,0,0]                     => 1
[1,1,1,0,0,0,1,1,1,0,1,0,0,0]                     => 1
[1,1,1,0,0,0,1,1,1,1,0,0,0,0]                     => 0
[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]                     => 2
[1,1,1,0,0,1,0,0,1,1,1,0,0,0]                     => 1
[1,1,1,0,0,1,0,1,0,0,1,0,1,0]                     => 2
[1,1,1,0,0,1,0,1,0,0,1,1,0,0]                     => 2
[1,1,1,0,0,1,0,1,0,1,0,0,1,0]                     => 3
[1,1,1,0,0,1,0,1,0,1,0,1,0,0]                     => 4
[1,1,1,0,0,1,0,1,0,1,1,0,0,0]                     => 3
[1,1,1,0,0,1,0,1,1,0,0,0,1,0]                     => 2
[1,1,1,0,0,1,0,1,1,0,0,1,0,0]                     => 3
[1,1,1,0,0,1,0,1,1,0,1,0,0,0]                     => 3
[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]                     => 2
[1,1,1,0,0,1,1,0,0,1,0,1,0,0]                     => 3
[1,1,1,0,0,1,1,0,0,1,1,0,0,0]                     => 2
[1,1,1,0,0,1,1,0,1,0,0,0,1,0]                     => 2
[1,1,1,0,0,1,1,0,1,0,0,1,0,0]                     => 3
[1,1,1,0,0,1,1,0,1,0,1,0,0,0]                     => 3
[1,1,1,0,0,1,1,0,1,1,0,0,0,0]                     => 2
[1,1,1,0,0,1,1,1,0,0,0,0,1,0]                     => 1
[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]                     => 1
[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]                     => 2
[1,1,1,0,1,0,0,0,1,1,1,0,0,0]                     => 1
[1,1,1,0,1,0,0,1,0,0,1,0,1,0]                     => 2
[1,1,1,0,1,0,0,1,0,0,1,1,0,0]                     => 2
[1,1,1,0,1,0,0,1,0,1,0,0,1,0]                     => 3
[1,1,1,0,1,0,0,1,0,1,0,1,0,0]                     => 4
[1,1,1,0,1,0,0,1,0,1,1,0,0,0]                     => 3
[1,1,1,0,1,0,0,1,1,0,0,0,1,0]                     => 2
[1,1,1,0,1,0,0,1,1,0,0,1,0,0]                     => 3
[1,1,1,0,1,0,0,1,1,0,1,0,0,0]                     => 3
[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]                     => 2
[1,1,1,0,1,0,1,0,0,0,1,1,0,0]                     => 2
[1,1,1,0,1,0,1,0,0,1,0,0,1,0]                     => 3
[1,1,1,0,1,0,1,0,0,1,0,1,0,0]                     => 4
[1,1,1,0,1,0,1,0,0,1,1,0,0,0]                     => 3
[1,1,1,0,1,0,1,0,1,0,0,0,1,0]                     => 3
[1,1,1,0,1,0,1,0,1,0,0,1,0,0]                     => 4
[1,1,1,0,1,0,1,0,1,0,1,0,0,0]                     => 4
[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]                     => 2
[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]                     => 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]                     => 2
[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]                     => 2
[1,1,1,0,1,1,0,0,1,0,0,0,1,0]                     => 2
[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]                     => 2
[1,1,1,0,1,1,0,1,0,0,0,0,1,0]                     => 2
[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]                     => 2
[1,1,1,0,1,1,1,0,0,0,0,0,1,0]                     => 1
[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]                     => 1
[1,1,1,1,0,0,0,0,1,0,1,0,1,0]                     => 0
[1,1,1,1,0,0,0,0,1,0,1,1,0,0]                     => 0
[1,1,1,1,0,0,0,0,1,1,0,0,1,0]                     => 0
[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]                     => 0
[1,1,1,1,0,0,0,1,0,0,1,0,1,0]                     => 1
[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]                     => 2
[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]                     => 2
[1,1,1,1,0,0,0,1,1,0,0,0,1,0]                     => 1
[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]                     => 1
[1,1,1,1,0,0,1,0,0,0,1,0,1,0]                     => 1
[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]                     => 2
[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]                     => 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]                     => 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]                     => 2
[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]                     => 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]                     => 1
[1,1,1,1,0,1,0,0,0,0,1,0,1,0]                     => 1
[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]                     => 2
[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]                     => 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]                     => 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]                     => 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]                     => 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]                     => 2
[1,1,1,1,0,1,1,0,0,0,0,0,1,0]                     => 1
[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]                     => 1
[1,1,1,1,1,0,0,0,0,0,1,0,1,0]                     => 0
[1,1,1,1,1,0,0,0,0,0,1,1,0,0]                     => 0
[1,1,1,1,1,0,0,0,0,1,0,0,1,0]                     => 1
[1,1,1,1,1,0,0,0,0,1,0,1,0,0]                     => 2
[1,1,1,1,1,0,0,0,0,1,1,0,0,0]                     => 1
[1,1,1,1,1,0,0,0,1,0,0,0,1,0]                     => 1
[1,1,1,1,1,0,0,0,1,0,0,1,0,0]                     => 2
[1,1,1,1,1,0,0,0,1,0,1,0,0,0]                     => 2
[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]                     => 1
[1,1,1,1,1,0,0,1,0,0,0,1,0,0]                     => 2
[1,1,1,1,1,0,0,1,0,0,1,0,0,0]                     => 2
[1,1,1,1,1,0,0,1,0,1,0,0,0,0]                     => 2
[1,1,1,1,1,0,0,1,1,0,0,0,0,0]                     => 1
[1,1,1,1,1,0,1,0,0,0,0,0,1,0]                     => 1
[1,1,1,1,1,0,1,0,0,0,0,1,0,0]                     => 2
[1,1,1,1,1,0,1,0,0,0,1,0,0,0]                     => 2
[1,1,1,1,1,0,1,0,0,1,0,0,0,0]                     => 2
[1,1,1,1,1,0,1,0,1,0,0,0,0,0]                     => 2
[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]                     => 0
[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]                     => 0
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]                 => 0
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]                 => 1
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]                 => 0
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]                 => 2
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]                 => 1
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]                 => 0
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]                 => 1
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]                 => 0
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]                 => 1
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]                 => 3
[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0]                 => 1
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]                 => 0
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]                 => 2
[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0]                 => 1
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0]                 => 1
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]                 => 1
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]                 => 1
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]                 => 0
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]                 => 1
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]                 => 1
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]                 => 0
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]                 => 0
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]                 => 1
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]                 => 0
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]                 => 1
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]                 => 2
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]                 => 4
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]                 => 3
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]                 => 1
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]                 => 3
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]                 => 0
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]                 => 0
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]                 => 3
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]                 => 2
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]                 => 1
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]                 => 3
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]                 => 1
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]                 => 1
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]                 => 1
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]                 => 3
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]                 => 1
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]                 => 0
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]                 => 0
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]                 => 2
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]                 => 1
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]                 => 0
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]                 => 1
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]                 => 1
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]                 => 1
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]                 => 0
[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]                 => 1
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]                 => 0
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]                 => 0
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]                 => 2
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]                 => 3
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]                 => 0
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]                 => 1
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]                 => 0
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]                 => 4
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]                 => 0
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]                 => 1
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]                 => 2
[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]                 => 1
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]                 => 0
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]                 => 2
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]                 => 1
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]                 => 0
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]                 => 1
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]                 => 1
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]                 => 1
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]                 => 1
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]                 => 0
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]                 => 1
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]                 => 2
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0]                 => 3
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0]                 => 3
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]                 => 3
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]                 => 3
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]                 => 4
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]                 => 4
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]                 => 5
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]                 => 6
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]                 => 5
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]                 => 5
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]                 => 5
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]                 => 4
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]                 => 5
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]                 => 5
[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]                 => 2
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]                 => 5
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]                 => 1
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]                 => 5
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0]                 => 3
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0]                 => 3
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0]                 => 3
[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]                 => 1
[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]                 => 2
[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]                 => 2
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]                 => 1
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]                 => 0
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]                 => 0
[1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0]                 => 1
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]                 => 0
[1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0]                 => 3
[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]                 => 4
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]                 => 5
[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]                 => 4
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]                 => 1
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]                 => 2
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]                 => 1
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0]                 => 3
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]                 => 5
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]                 => 3
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]                 => 2
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]                 => 5
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]                 => 3
[1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]                 => 3
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]                 => 4
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]                 => 5
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]                 => 5
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]                 => 4
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]                 => 2
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]                 => 3
[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]                 => 2
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0]                 => 3
[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]                 => 1
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]                 => 3
[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]                 => 2
[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]                 => 1
[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]                 => 2
[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]                 => 2
[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]                 => 2
[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]                 => 2
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]                 => 1
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]                 => 0
[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]                 => 1
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]                 => 0
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]                 => 4
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]                 => 3
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]                 => 2
[1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]                 => 2
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]                 => 3
[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]                 => 3
[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]                 => 2
[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]                 => 1
[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]                 => 3
[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]                 => 2
[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]                 => 1
[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]                 => 2
[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]                 => 2
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]                 => 2
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]                 => 2
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]                 => 1
[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]                 => 1
[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]                 => 1
[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]                 => 2
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]                 => 1
[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]                 => 1
[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]                 => 1
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]                 => 2
[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]                 => 1
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]                 => 1
[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]                 => 2
[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]                 => 3
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]                 => 3
[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]                 => 2
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]                 => 1
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]                 => 2
[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]                 => 2
[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]                 => 2
[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]                 => 2
[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]                 => 2
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]                 => 1
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]                 => 0
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]                 => 1
[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]                 => 2
[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]                 => 2
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]                 => 1
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]                 => 1
[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]                 => 2
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]                 => 2
[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]                 => 2
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]                 => 1
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]                 => 1
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]                 => 2
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]                 => 2
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]                 => 2
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]                 => 2
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]                 => 1
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]                 => 0
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]                 => 1
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]                 => 1
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]                 => 1
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]                 => 1
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]                 => 1
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]                 => 1
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]                 => 0
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]             => 0
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]             => 0
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]             => 1
[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]             => 1
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0]             => 1
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0]             => 1
[1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]             => 1
[1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]             => 1
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0]             => 1
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0]             => 1
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]             => 0
[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]             => 0
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]             => 0
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0]             => 1
[1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]             => 1
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]             => 0
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0]             => 1
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0]             => 1
[1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]             => 1
[1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]             => 1
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]             => 7
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]             => 6
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]             => 6
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]             => 6
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]             => 6
[1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]             => 2
[1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]             => 2
[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]             => 1
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]             => 6
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]             => 6
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]             => 6
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]             => 6
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]             => 1
[1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0]             => 2
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0]             => 2
[1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0]             => 2
[1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0]             => 2
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0]             => 2
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0]             => 2
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]             => 1
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]             => 1
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]             => 1
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]             => 1
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]             => 1
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]             => 0
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]             => 0
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]             => 1
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]             => 1
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]             => 0
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]             => 0
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]             => 0
[1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]             => 0
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]             => 0
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]             => 0
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]             => 0
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]             => 0
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]             => 0
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]             => 0
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]             => 0
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]             => 0
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]             => 5
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]             => 6
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]             => 1
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]             => 1
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]             => 2
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]             => 1
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]             => 1
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]             => 5
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0]             => 4
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0]             => 5
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]             => 5
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]             => 5
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]             => 5
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]             => 1
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]             => 1
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]             => 1
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]             => 1
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]             => 1
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]             => 1
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]         => 0
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]         => 0
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0]         => 1
[1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]         => 1
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0]         => 1
[1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]         => 1
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]         => 0
[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]         => 0
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]         => 0
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0]         => 1
[1,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]         => 1
[1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]         => 0
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]         => 0
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]         => 1
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]         => 8
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]         => 7
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]         => 0
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]         => 0
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]         => 0
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]         => 0
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]         => 0
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]         => 0
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]         => 7
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]         => 7
[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]         => 1
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]         => 1
[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]         => 1
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]         => 1
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0]         => 2
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]         => 1
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]         => 7
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]         => 4
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]         => 4
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]         => 4
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]         => 4
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]         => 4
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0]         => 4
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0]         => 4
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0]         => 4
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0]         => 4
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]         => 4
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]         => 4
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0]         => 4
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0]         => 4
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]         => 4
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]         => 4
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]         => 4
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]         => 4
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]         => 4
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]         => 4
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0]         => 4
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]         => 4
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0]         => 4
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0]         => 4
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]         => 4
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0]         => 4
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0]         => 4
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0]         => 4
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0]         => 4
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0]         => 4
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0]         => 4
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0]         => 4
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0]         => 4
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0]         => 4
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0]         => 4
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0]         => 4
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0]         => 4
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0]         => 4
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0]         => 4
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0]         => 4
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0]         => 4
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0]         => 4
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]         => 4
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]         => 6
[1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0]         => 2
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0]         => 1
[1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]         => 1
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]     => 0
[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]     => 0
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]     => 0
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]     => 1
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]     => 9
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]     => 0
[1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0]     => 1
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0]     => 1
[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0]     => 1
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]     => 8
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]     => 0
[1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]     => 0
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0]     => 0
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0]     => 0
[1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]     => 0
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => 5
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0] => 5
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0] => 5
[1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0] => 5
[1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0] => 5
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0] => 5
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0] => 5
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0] => 5
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => 5
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0] => 5
[1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0] => 5
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0] => 5
[1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0] => 5
[1,0,1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0] => 5
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => 5
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => 5
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => 5
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => 5
[1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => 5
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => 5
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0] => 5
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => 5
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => 5
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0] => 5
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0] => 5
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => 5
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0] => 5
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => 5
[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0] => 5
[1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0] => 5
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => 5
[1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0] => 5
[1,0,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0] => 5
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => 5
[1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => 5
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0] => 5
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => 5
[1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0] => 5
[1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0] => 5
[1,0,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => 5
[1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => 5
[1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => 5
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => 5
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => 5
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => 5
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => 5
[1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => 5
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => 5
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => 5
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => 5
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => 5
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => 5
[1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => 5
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => 5
[1,1,0,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => 5
[1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => 5
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 5
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 5
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 5
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 5
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 5
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 5
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 5
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 5
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 5
[1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 5
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0] => 5
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0] => 5
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => 5
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => 5
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => 5
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => 5
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => 5
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 5
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => 5
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 5
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0] => 5
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0] => 5
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => 5
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0] => 5
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => 5
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => 5
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => 5
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 5
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 5
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0] => 5
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => 5
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => 5
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => 5
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => 5
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0] => 5
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0] => 5
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0] => 5
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0] => 5
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0] => 5
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => 5
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => 5
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0] => 5
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => 5
[1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0] => 5
[1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0] => 5
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => 5
[1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0] => 5
[1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0] => 5
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => 5
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => 5
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => 5
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => 5
[1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0] => 5
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => 5
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => 5
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => 5
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => 5
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0] => 5
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => 5
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => 5
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => 5
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => 5
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0] => 5
[1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0] => 5
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => 5
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0] => 5
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0] => 5
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => 5
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => 5
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => 5
[1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => 5
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0] => 5
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0] => 5
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => 5
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 5

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Created: Mar 25, 2013 at 17:32 by Jessica Striker

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Last Updated: Jan 11, 2018 at 15:13 by Martin Rubey