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*       www.FindStat.org - The Combinatorial Statistic Finder               *
*                                                                           *
*       Copyright (C) 2019 The FindStatCrew <info@findstat.org>             *
*                                                                           *
*    This information is distributed in the hope that it will be useful,    *
*    but WITHOUT ANY WARRANTY; without even the implied warranty of         *
*    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.                   *
*****************************************************************************

-----------------------------------------------------------------------------
Statistic identifier: St001669

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

-----------------------------------------------------------------------------
Description: The number of single rises in a Dyck path.

A single rise is a step which is neither preceded nor followed by a step of the same kind.

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

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


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

[1,0]                             => 2
[1,0,1,0]                         => 4
[1,1,0,0]                         => 0
[1,0,1,0,1,0]                     => 6
[1,0,1,1,0,0]                     => 2
[1,1,0,0,1,0]                     => 2
[1,1,0,1,0,0]                     => 2
[1,1,1,0,0,0]                     => 0
[1,0,1,0,1,0,1,0]                 => 8
[1,0,1,0,1,1,0,0]                 => 4
[1,0,1,1,0,0,1,0]                 => 4
[1,0,1,1,0,1,0,0]                 => 4
[1,0,1,1,1,0,0,0]                 => 2
[1,1,0,0,1,0,1,0]                 => 4
[1,1,0,0,1,1,0,0]                 => 0
[1,1,0,1,0,0,1,0]                 => 4
[1,1,0,1,0,1,0,0]                 => 4
[1,1,0,1,1,0,0,0]                 => 1
[1,1,1,0,0,0,1,0]                 => 2
[1,1,1,0,0,1,0,0]                 => 1
[1,1,1,0,1,0,0,0]                 => 2
[1,1,1,1,0,0,0,0]                 => 0
[1,0,1,0,1,0,1,0,1,0]             => 10
[1,0,1,0,1,0,1,1,0,0]             => 6
[1,0,1,0,1,1,0,0,1,0]             => 6
[1,0,1,0,1,1,0,1,0,0]             => 6
[1,0,1,0,1,1,1,0,0,0]             => 4
[1,0,1,1,0,0,1,0,1,0]             => 6
[1,0,1,1,0,0,1,1,0,0]             => 2
[1,0,1,1,0,1,0,0,1,0]             => 6
[1,0,1,1,0,1,0,1,0,0]             => 6
[1,0,1,1,0,1,1,0,0,0]             => 3
[1,0,1,1,1,0,0,0,1,0]             => 4
[1,0,1,1,1,0,0,1,0,0]             => 3
[1,0,1,1,1,0,1,0,0,0]             => 4
[1,0,1,1,1,1,0,0,0,0]             => 2
[1,1,0,0,1,0,1,0,1,0]             => 6
[1,1,0,0,1,0,1,1,0,0]             => 2
[1,1,0,0,1,1,0,0,1,0]             => 2
[1,1,0,0,1,1,0,1,0,0]             => 2
[1,1,0,0,1,1,1,0,0,0]             => 0
[1,1,0,1,0,0,1,0,1,0]             => 6
[1,1,0,1,0,0,1,1,0,0]             => 2
[1,1,0,1,0,1,0,0,1,0]             => 6
[1,1,0,1,0,1,0,1,0,0]             => 6
[1,1,0,1,0,1,1,0,0,0]             => 3
[1,1,0,1,1,0,0,0,1,0]             => 3
[1,1,0,1,1,0,0,1,0,0]             => 2
[1,1,0,1,1,0,1,0,0,0]             => 3
[1,1,0,1,1,1,0,0,0,0]             => 1
[1,1,1,0,0,0,1,0,1,0]             => 4
[1,1,1,0,0,0,1,1,0,0]             => 0
[1,1,1,0,0,1,0,0,1,0]             => 3
[1,1,1,0,0,1,0,1,0,0]             => 3
[1,1,1,0,0,1,1,0,0,0]             => 0
[1,1,1,0,1,0,0,0,1,0]             => 4
[1,1,1,0,1,0,0,1,0,0]             => 3
[1,1,1,0,1,0,1,0,0,0]             => 4
[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]             => 1
[1,1,1,1,0,0,1,0,0,0]             => 1
[1,1,1,1,0,1,0,0,0,0]             => 2
[1,1,1,1,1,0,0,0,0,0]             => 0
[1,0,1,0,1,0,1,0,1,0,1,0]         => 12
[1,0,1,0,1,0,1,0,1,1,0,0]         => 8
[1,0,1,0,1,0,1,1,0,0,1,0]         => 8
[1,0,1,0,1,0,1,1,0,1,0,0]         => 8
[1,0,1,0,1,0,1,1,1,0,0,0]         => 6
[1,0,1,0,1,1,0,0,1,0,1,0]         => 8
[1,0,1,0,1,1,0,0,1,1,0,0]         => 4
[1,0,1,0,1,1,0,1,0,0,1,0]         => 8
[1,0,1,0,1,1,0,1,0,1,0,0]         => 8
[1,0,1,0,1,1,0,1,1,0,0,0]         => 5
[1,0,1,0,1,1,1,0,0,0,1,0]         => 6
[1,0,1,0,1,1,1,0,0,1,0,0]         => 5
[1,0,1,0,1,1,1,0,1,0,0,0]         => 6
[1,0,1,0,1,1,1,1,0,0,0,0]         => 4
[1,0,1,1,0,0,1,0,1,0,1,0]         => 8
[1,0,1,1,0,0,1,0,1,1,0,0]         => 4
[1,0,1,1,0,0,1,1,0,0,1,0]         => 4
[1,0,1,1,0,0,1,1,0,1,0,0]         => 4
[1,0,1,1,0,0,1,1,1,0,0,0]         => 2
[1,0,1,1,0,1,0,0,1,0,1,0]         => 8
[1,0,1,1,0,1,0,0,1,1,0,0]         => 4
[1,0,1,1,0,1,0,1,0,0,1,0]         => 8
[1,0,1,1,0,1,0,1,0,1,0,0]         => 8
[1,0,1,1,0,1,0,1,1,0,0,0]         => 5
[1,0,1,1,0,1,1,0,0,0,1,0]         => 5
[1,0,1,1,0,1,1,0,0,1,0,0]         => 4
[1,0,1,1,0,1,1,0,1,0,0,0]         => 5
[1,0,1,1,0,1,1,1,0,0,0,0]         => 3
[1,0,1,1,1,0,0,0,1,0,1,0]         => 6
[1,0,1,1,1,0,0,0,1,1,0,0]         => 2
[1,0,1,1,1,0,0,1,0,0,1,0]         => 5
[1,0,1,1,1,0,0,1,0,1,0,0]         => 5
[1,0,1,1,1,0,0,1,1,0,0,0]         => 2
[1,0,1,1,1,0,1,0,0,0,1,0]         => 6
[1,0,1,1,1,0,1,0,0,1,0,0]         => 5
[1,0,1,1,1,0,1,0,1,0,0,0]         => 6
[1,0,1,1,1,0,1,1,0,0,0,0]         => 3
[1,0,1,1,1,1,0,0,0,0,1,0]         => 4
[1,0,1,1,1,1,0,0,0,1,0,0]         => 3
[1,0,1,1,1,1,0,0,1,0,0,0]         => 3
[1,0,1,1,1,1,0,1,0,0,0,0]         => 4
[1,0,1,1,1,1,1,0,0,0,0,0]         => 2
[1,1,0,0,1,0,1,0,1,0,1,0]         => 8
[1,1,0,0,1,0,1,0,1,1,0,0]         => 4
[1,1,0,0,1,0,1,1,0,0,1,0]         => 4
[1,1,0,0,1,0,1,1,0,1,0,0]         => 4
[1,1,0,0,1,0,1,1,1,0,0,0]         => 2
[1,1,0,0,1,1,0,0,1,0,1,0]         => 4
[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]         => 4
[1,1,0,0,1,1,0,1,0,1,0,0]         => 4
[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]         => 2
[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]         => 2
[1,1,0,0,1,1,1,1,0,0,0,0]         => 0
[1,1,0,1,0,0,1,0,1,0,1,0]         => 8
[1,1,0,1,0,0,1,0,1,1,0,0]         => 4
[1,1,0,1,0,0,1,1,0,0,1,0]         => 4
[1,1,0,1,0,0,1,1,0,1,0,0]         => 4
[1,1,0,1,0,0,1,1,1,0,0,0]         => 2
[1,1,0,1,0,1,0,0,1,0,1,0]         => 8
[1,1,0,1,0,1,0,0,1,1,0,0]         => 4
[1,1,0,1,0,1,0,1,0,0,1,0]         => 8
[1,1,0,1,0,1,0,1,0,1,0,0]         => 8
[1,1,0,1,0,1,0,1,1,0,0,0]         => 5
[1,1,0,1,0,1,1,0,0,0,1,0]         => 5
[1,1,0,1,0,1,1,0,0,1,0,0]         => 4
[1,1,0,1,0,1,1,0,1,0,0,0]         => 5
[1,1,0,1,0,1,1,1,0,0,0,0]         => 3
[1,1,0,1,1,0,0,0,1,0,1,0]         => 5
[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]         => 4
[1,1,0,1,1,0,0,1,0,1,0,0]         => 4
[1,1,0,1,1,0,0,1,1,0,0,0]         => 1
[1,1,0,1,1,0,1,0,0,0,1,0]         => 5
[1,1,0,1,1,0,1,0,0,1,0,0]         => 4
[1,1,0,1,1,0,1,0,1,0,0,0]         => 5
[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]         => 3
[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]         => 3
[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]         => 6
[1,1,1,0,0,0,1,0,1,1,0,0]         => 2
[1,1,1,0,0,0,1,1,0,0,1,0]         => 2
[1,1,1,0,0,0,1,1,0,1,0,0]         => 2
[1,1,1,0,0,0,1,1,1,0,0,0]         => 0
[1,1,1,0,0,1,0,0,1,0,1,0]         => 5
[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]         => 5
[1,1,1,0,0,1,0,1,0,1,0,0]         => 5
[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]         => 2
[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]         => 2
[1,1,1,0,0,1,1,1,0,0,0,0]         => 0
[1,1,1,0,1,0,0,0,1,0,1,0]         => 6
[1,1,1,0,1,0,0,0,1,1,0,0]         => 2
[1,1,1,0,1,0,0,1,0,0,1,0]         => 5
[1,1,1,0,1,0,0,1,0,1,0,0]         => 5
[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]         => 6
[1,1,1,0,1,0,1,0,0,1,0,0]         => 5
[1,1,1,0,1,0,1,0,1,0,0,0]         => 6
[1,1,1,0,1,0,1,1,0,0,0,0]         => 3
[1,1,1,0,1,1,0,0,0,0,1,0]         => 3
[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]         => 3
[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]         => 4
[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]         => 3
[1,1,1,1,0,0,0,1,0,1,0,0]         => 3
[1,1,1,1,0,0,0,1,1,0,0,0]         => 0
[1,1,1,1,0,0,1,0,0,0,1,0]         => 3
[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]         => 3
[1,1,1,1,0,0,1,1,0,0,0,0]         => 0
[1,1,1,1,0,1,0,0,0,0,1,0]         => 4
[1,1,1,1,0,1,0,0,0,1,0,0]         => 3
[1,1,1,1,0,1,0,0,1,0,0,0]         => 3
[1,1,1,1,0,1,0,1,0,0,0,0]         => 4
[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]         => 2
[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]         => 2
[1,1,1,1,1,1,0,0,0,0,0,0]         => 0
[1,0,1,0,1,0,1,0,1,0,1,0,1,0]     => 14
[1,0,1,0,1,0,1,0,1,0,1,1,0,0]     => 10
[1,0,1,0,1,0,1,0,1,1,0,0,1,0]     => 10
[1,0,1,0,1,0,1,0,1,1,0,1,0,0]     => 10
[1,0,1,0,1,0,1,0,1,1,1,0,0,0]     => 8
[1,0,1,0,1,0,1,1,0,0,1,0,1,0]     => 10
[1,0,1,0,1,0,1,1,0,0,1,1,0,0]     => 6
[1,0,1,0,1,0,1,1,0,1,0,0,1,0]     => 10
[1,0,1,0,1,0,1,1,0,1,0,1,0,0]     => 10
[1,0,1,0,1,0,1,1,0,1,1,0,0,0]     => 7
[1,0,1,0,1,0,1,1,1,0,0,0,1,0]     => 8
[1,0,1,0,1,0,1,1,1,0,0,1,0,0]     => 7
[1,0,1,0,1,0,1,1,1,0,1,0,0,0]     => 8
[1,0,1,0,1,0,1,1,1,1,0,0,0,0]     => 6
[1,0,1,0,1,1,0,0,1,0,1,0,1,0]     => 10
[1,0,1,0,1,1,0,0,1,0,1,1,0,0]     => 6
[1,0,1,0,1,1,0,0,1,1,0,0,1,0]     => 6
[1,0,1,0,1,1,0,0,1,1,0,1,0,0]     => 6
[1,0,1,0,1,1,0,0,1,1,1,0,0,0]     => 4
[1,0,1,0,1,1,0,1,0,0,1,0,1,0]     => 10
[1,0,1,0,1,1,0,1,0,0,1,1,0,0]     => 6
[1,0,1,0,1,1,0,1,0,1,0,0,1,0]     => 10
[1,0,1,0,1,1,0,1,0,1,0,1,0,0]     => 10
[1,0,1,0,1,1,0,1,0,1,1,0,0,0]     => 7
[1,0,1,0,1,1,0,1,1,0,0,0,1,0]     => 7
[1,0,1,0,1,1,0,1,1,0,0,1,0,0]     => 6
[1,0,1,0,1,1,0,1,1,0,1,0,0,0]     => 7
[1,0,1,0,1,1,0,1,1,1,0,0,0,0]     => 5
[1,0,1,0,1,1,1,0,0,0,1,0,1,0]     => 8
[1,0,1,0,1,1,1,0,0,0,1,1,0,0]     => 4
[1,0,1,0,1,1,1,0,0,1,0,0,1,0]     => 7
[1,0,1,0,1,1,1,0,0,1,0,1,0,0]     => 7
[1,0,1,0,1,1,1,0,0,1,1,0,0,0]     => 4
[1,0,1,0,1,1,1,0,1,0,0,0,1,0]     => 8
[1,0,1,0,1,1,1,0,1,0,0,1,0,0]     => 7
[1,0,1,0,1,1,1,0,1,0,1,0,0,0]     => 8
[1,0,1,0,1,1,1,0,1,1,0,0,0,0]     => 5
[1,0,1,0,1,1,1,1,0,0,0,0,1,0]     => 6
[1,0,1,0,1,1,1,1,0,0,0,1,0,0]     => 5
[1,0,1,0,1,1,1,1,0,0,1,0,0,0]     => 5
[1,0,1,0,1,1,1,1,0,1,0,0,0,0]     => 6
[1,0,1,0,1,1,1,1,1,0,0,0,0,0]     => 4
[1,0,1,1,0,0,1,0,1,0,1,0,1,0]     => 10
[1,0,1,1,0,0,1,0,1,0,1,1,0,0]     => 6
[1,0,1,1,0,0,1,0,1,1,0,0,1,0]     => 6
[1,0,1,1,0,0,1,0,1,1,0,1,0,0]     => 6
[1,0,1,1,0,0,1,0,1,1,1,0,0,0]     => 4
[1,0,1,1,0,0,1,1,0,0,1,0,1,0]     => 6
[1,0,1,1,0,0,1,1,0,0,1,1,0,0]     => 2
[1,0,1,1,0,0,1,1,0,1,0,0,1,0]     => 6
[1,0,1,1,0,0,1,1,0,1,0,1,0,0]     => 6
[1,0,1,1,0,0,1,1,0,1,1,0,0,0]     => 3
[1,0,1,1,0,0,1,1,1,0,0,0,1,0]     => 4
[1,0,1,1,0,0,1,1,1,0,0,1,0,0]     => 3
[1,0,1,1,0,0,1,1,1,0,1,0,0,0]     => 4
[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]     => 10
[1,0,1,1,0,1,0,0,1,0,1,1,0,0]     => 6
[1,0,1,1,0,1,0,0,1,1,0,0,1,0]     => 6
[1,0,1,1,0,1,0,0,1,1,0,1,0,0]     => 6
[1,0,1,1,0,1,0,0,1,1,1,0,0,0]     => 4
[1,0,1,1,0,1,0,1,0,0,1,0,1,0]     => 10
[1,0,1,1,0,1,0,1,0,0,1,1,0,0]     => 6
[1,0,1,1,0,1,0,1,0,1,0,0,1,0]     => 10
[1,0,1,1,0,1,0,1,0,1,0,1,0,0]     => 10
[1,0,1,1,0,1,0,1,0,1,1,0,0,0]     => 7
[1,0,1,1,0,1,0,1,1,0,0,0,1,0]     => 7
[1,0,1,1,0,1,0,1,1,0,0,1,0,0]     => 6
[1,0,1,1,0,1,0,1,1,0,1,0,0,0]     => 7
[1,0,1,1,0,1,0,1,1,1,0,0,0,0]     => 5
[1,0,1,1,0,1,1,0,0,0,1,0,1,0]     => 7
[1,0,1,1,0,1,1,0,0,0,1,1,0,0]     => 3
[1,0,1,1,0,1,1,0,0,1,0,0,1,0]     => 6
[1,0,1,1,0,1,1,0,0,1,0,1,0,0]     => 6
[1,0,1,1,0,1,1,0,0,1,1,0,0,0]     => 3
[1,0,1,1,0,1,1,0,1,0,0,0,1,0]     => 7
[1,0,1,1,0,1,1,0,1,0,0,1,0,0]     => 6
[1,0,1,1,0,1,1,0,1,0,1,0,0,0]     => 7
[1,0,1,1,0,1,1,0,1,1,0,0,0,0]     => 4
[1,0,1,1,0,1,1,1,0,0,0,0,1,0]     => 5
[1,0,1,1,0,1,1,1,0,0,0,1,0,0]     => 4
[1,0,1,1,0,1,1,1,0,0,1,0,0,0]     => 4
[1,0,1,1,0,1,1,1,0,1,0,0,0,0]     => 5
[1,0,1,1,0,1,1,1,1,0,0,0,0,0]     => 3
[1,0,1,1,1,0,0,0,1,0,1,0,1,0]     => 8
[1,0,1,1,1,0,0,0,1,0,1,1,0,0]     => 4
[1,0,1,1,1,0,0,0,1,1,0,0,1,0]     => 4
[1,0,1,1,1,0,0,0,1,1,0,1,0,0]     => 4
[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]     => 7
[1,0,1,1,1,0,0,1,0,0,1,1,0,0]     => 3
[1,0,1,1,1,0,0,1,0,1,0,0,1,0]     => 7
[1,0,1,1,1,0,0,1,0,1,0,1,0,0]     => 7
[1,0,1,1,1,0,0,1,0,1,1,0,0,0]     => 4
[1,0,1,1,1,0,0,1,1,0,0,0,1,0]     => 4
[1,0,1,1,1,0,0,1,1,0,0,1,0,0]     => 3
[1,0,1,1,1,0,0,1,1,0,1,0,0,0]     => 4
[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]     => 8
[1,0,1,1,1,0,1,0,0,0,1,1,0,0]     => 4
[1,0,1,1,1,0,1,0,0,1,0,0,1,0]     => 7
[1,0,1,1,1,0,1,0,0,1,0,1,0,0]     => 7
[1,0,1,1,1,0,1,0,0,1,1,0,0,0]     => 4
[1,0,1,1,1,0,1,0,1,0,0,0,1,0]     => 8
[1,0,1,1,1,0,1,0,1,0,0,1,0,0]     => 7
[1,0,1,1,1,0,1,0,1,0,1,0,0,0]     => 8
[1,0,1,1,1,0,1,0,1,1,0,0,0,0]     => 5
[1,0,1,1,1,0,1,1,0,0,0,0,1,0]     => 5
[1,0,1,1,1,0,1,1,0,0,0,1,0,0]     => 4
[1,0,1,1,1,0,1,1,0,0,1,0,0,0]     => 4
[1,0,1,1,1,0,1,1,0,1,0,0,0,0]     => 5
[1,0,1,1,1,0,1,1,1,0,0,0,0,0]     => 3
[1,0,1,1,1,1,0,0,0,0,1,0,1,0]     => 6
[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]     => 5
[1,0,1,1,1,1,0,0,0,1,0,1,0,0]     => 5
[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]     => 5
[1,0,1,1,1,1,0,0,1,0,0,1,0,0]     => 4
[1,0,1,1,1,1,0,0,1,0,1,0,0,0]     => 5
[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]     => 6
[1,0,1,1,1,1,0,1,0,0,0,1,0,0]     => 5
[1,0,1,1,1,1,0,1,0,0,1,0,0,0]     => 5
[1,0,1,1,1,1,0,1,0,1,0,0,0,0]     => 6
[1,0,1,1,1,1,0,1,1,0,0,0,0,0]     => 3
[1,0,1,1,1,1,1,0,0,0,0,0,1,0]     => 4
[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]     => 4
[1,0,1,1,1,1,1,1,0,0,0,0,0,0]     => 2
[1,1,0,0,1,0,1,0,1,0,1,0,1,0]     => 10
[1,1,0,0,1,0,1,0,1,0,1,1,0,0]     => 6
[1,1,0,0,1,0,1,0,1,1,0,0,1,0]     => 6
[1,1,0,0,1,0,1,0,1,1,0,1,0,0]     => 6
[1,1,0,0,1,0,1,0,1,1,1,0,0,0]     => 4
[1,1,0,0,1,0,1,1,0,0,1,0,1,0]     => 6
[1,1,0,0,1,0,1,1,0,0,1,1,0,0]     => 2
[1,1,0,0,1,0,1,1,0,1,0,0,1,0]     => 6
[1,1,0,0,1,0,1,1,0,1,0,1,0,0]     => 6
[1,1,0,0,1,0,1,1,0,1,1,0,0,0]     => 3
[1,1,0,0,1,0,1,1,1,0,0,0,1,0]     => 4
[1,1,0,0,1,0,1,1,1,0,0,1,0,0]     => 3
[1,1,0,0,1,0,1,1,1,0,1,0,0,0]     => 4
[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]     => 6
[1,1,0,0,1,1,0,0,1,0,1,1,0,0]     => 2
[1,1,0,0,1,1,0,0,1,1,0,0,1,0]     => 2
[1,1,0,0,1,1,0,0,1,1,0,1,0,0]     => 2
[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]     => 6
[1,1,0,0,1,1,0,1,0,0,1,1,0,0]     => 2
[1,1,0,0,1,1,0,1,0,1,0,0,1,0]     => 6
[1,1,0,0,1,1,0,1,0,1,0,1,0,0]     => 6
[1,1,0,0,1,1,0,1,0,1,1,0,0,0]     => 3
[1,1,0,0,1,1,0,1,1,0,0,0,1,0]     => 3
[1,1,0,0,1,1,0,1,1,0,0,1,0,0]     => 2
[1,1,0,0,1,1,0,1,1,0,1,0,0,0]     => 3
[1,1,0,0,1,1,0,1,1,1,0,0,0,0]     => 1
[1,1,0,0,1,1,1,0,0,0,1,0,1,0]     => 4
[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]     => 3
[1,1,0,0,1,1,1,0,0,1,0,1,0,0]     => 3
[1,1,0,0,1,1,1,0,0,1,1,0,0,0]     => 0
[1,1,0,0,1,1,1,0,1,0,0,0,1,0]     => 4
[1,1,0,0,1,1,1,0,1,0,0,1,0,0]     => 3
[1,1,0,0,1,1,1,0,1,0,1,0,0,0]     => 4
[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]     => 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]     => 2
[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]     => 10
[1,1,0,1,0,0,1,0,1,0,1,1,0,0]     => 6
[1,1,0,1,0,0,1,0,1,1,0,0,1,0]     => 6
[1,1,0,1,0,0,1,0,1,1,0,1,0,0]     => 6
[1,1,0,1,0,0,1,0,1,1,1,0,0,0]     => 4
[1,1,0,1,0,0,1,1,0,0,1,0,1,0]     => 6
[1,1,0,1,0,0,1,1,0,0,1,1,0,0]     => 2
[1,1,0,1,0,0,1,1,0,1,0,0,1,0]     => 6
[1,1,0,1,0,0,1,1,0,1,0,1,0,0]     => 6
[1,1,0,1,0,0,1,1,0,1,1,0,0,0]     => 3
[1,1,0,1,0,0,1,1,1,0,0,0,1,0]     => 4
[1,1,0,1,0,0,1,1,1,0,0,1,0,0]     => 3
[1,1,0,1,0,0,1,1,1,0,1,0,0,0]     => 4
[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]     => 10
[1,1,0,1,0,1,0,0,1,0,1,1,0,0]     => 6
[1,1,0,1,0,1,0,0,1,1,0,0,1,0]     => 6
[1,1,0,1,0,1,0,0,1,1,0,1,0,0]     => 6
[1,1,0,1,0,1,0,0,1,1,1,0,0,0]     => 4
[1,1,0,1,0,1,0,1,0,0,1,0,1,0]     => 10
[1,1,0,1,0,1,0,1,0,0,1,1,0,0]     => 6
[1,1,0,1,0,1,0,1,0,1,0,0,1,0]     => 10
[1,1,0,1,0,1,0,1,0,1,0,1,0,0]     => 10
[1,1,0,1,0,1,0,1,0,1,1,0,0,0]     => 7
[1,1,0,1,0,1,0,1,1,0,0,0,1,0]     => 7
[1,1,0,1,0,1,0,1,1,0,0,1,0,0]     => 6
[1,1,0,1,0,1,0,1,1,0,1,0,0,0]     => 7
[1,1,0,1,0,1,0,1,1,1,0,0,0,0]     => 5
[1,1,0,1,0,1,1,0,0,0,1,0,1,0]     => 7
[1,1,0,1,0,1,1,0,0,0,1,1,0,0]     => 3
[1,1,0,1,0,1,1,0,0,1,0,0,1,0]     => 6
[1,1,0,1,0,1,1,0,0,1,0,1,0,0]     => 6
[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]     => 7
[1,1,0,1,0,1,1,0,1,0,0,1,0,0]     => 6
[1,1,0,1,0,1,1,0,1,0,1,0,0,0]     => 7
[1,1,0,1,0,1,1,0,1,1,0,0,0,0]     => 4
[1,1,0,1,0,1,1,1,0,0,0,0,1,0]     => 5
[1,1,0,1,0,1,1,1,0,0,0,1,0,0]     => 4
[1,1,0,1,0,1,1,1,0,0,1,0,0,0]     => 4
[1,1,0,1,0,1,1,1,0,1,0,0,0,0]     => 5
[1,1,0,1,0,1,1,1,1,0,0,0,0,0]     => 3
[1,1,0,1,1,0,0,0,1,0,1,0,1,0]     => 7
[1,1,0,1,1,0,0,0,1,0,1,1,0,0]     => 3
[1,1,0,1,1,0,0,0,1,1,0,0,1,0]     => 3
[1,1,0,1,1,0,0,0,1,1,0,1,0,0]     => 3
[1,1,0,1,1,0,0,0,1,1,1,0,0,0]     => 1
[1,1,0,1,1,0,0,1,0,0,1,0,1,0]     => 6
[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]     => 6
[1,1,0,1,1,0,0,1,0,1,0,1,0,0]     => 6
[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]     => 3
[1,1,0,1,1,0,0,1,1,0,0,1,0,0]     => 2
[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]     => 1
[1,1,0,1,1,0,1,0,0,0,1,0,1,0]     => 7
[1,1,0,1,1,0,1,0,0,0,1,1,0,0]     => 3
[1,1,0,1,1,0,1,0,0,1,0,0,1,0]     => 6
[1,1,0,1,1,0,1,0,0,1,0,1,0,0]     => 6
[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]     => 7
[1,1,0,1,1,0,1,0,1,0,0,1,0,0]     => 6
[1,1,0,1,1,0,1,0,1,0,1,0,0,0]     => 7
[1,1,0,1,1,0,1,0,1,1,0,0,0,0]     => 4
[1,1,0,1,1,0,1,1,0,0,0,0,1,0]     => 4
[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]     => 4
[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]     => 5
[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]     => 4
[1,1,0,1,1,1,0,0,0,1,0,1,0,0]     => 4
[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]     => 4
[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]     => 4
[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]     => 5
[1,1,0,1,1,1,0,1,0,0,0,1,0,0]     => 4
[1,1,0,1,1,1,0,1,0,0,1,0,0,0]     => 4
[1,1,0,1,1,1,0,1,0,1,0,0,0,0]     => 5
[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]     => 3
[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]     => 3
[1,1,0,1,1,1,1,1,0,0,0,0,0,0]     => 1
[1,1,1,0,0,0,1,0,1,0,1,0,1,0]     => 8
[1,1,1,0,0,0,1,0,1,0,1,1,0,0]     => 4
[1,1,1,0,0,0,1,0,1,1,0,0,1,0]     => 4
[1,1,1,0,0,0,1,0,1,1,0,1,0,0]     => 4
[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]     => 4
[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]     => 4
[1,1,1,0,0,0,1,1,0,1,0,1,0,0]     => 4
[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]     => 1
[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]     => 0
[1,1,1,0,0,1,0,0,1,0,1,0,1,0]     => 7
[1,1,1,0,0,1,0,0,1,0,1,1,0,0]     => 3
[1,1,1,0,0,1,0,0,1,1,0,0,1,0]     => 3
[1,1,1,0,0,1,0,0,1,1,0,1,0,0]     => 3
[1,1,1,0,0,1,0,0,1,1,1,0,0,0]     => 1
[1,1,1,0,0,1,0,1,0,0,1,0,1,0]     => 7
[1,1,1,0,0,1,0,1,0,0,1,1,0,0]     => 3
[1,1,1,0,0,1,0,1,0,1,0,0,1,0]     => 7
[1,1,1,0,0,1,0,1,0,1,0,1,0,0]     => 7
[1,1,1,0,0,1,0,1,0,1,1,0,0,0]     => 4
[1,1,1,0,0,1,0,1,1,0,0,0,1,0]     => 4
[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]     => 4
[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]     => 4
[1,1,1,0,0,1,1,0,0,0,1,1,0,0]     => 0
[1,1,1,0,0,1,1,0,0,1,0,0,1,0]     => 3
[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]     => 0
[1,1,1,0,0,1,1,0,1,0,0,0,1,0]     => 4
[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]     => 4
[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]     => 1
[1,1,1,0,0,1,1,1,0,0,1,0,0,0]     => 1
[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]     => 0
[1,1,1,0,1,0,0,0,1,0,1,0,1,0]     => 8
[1,1,1,0,1,0,0,0,1,0,1,1,0,0]     => 4
[1,1,1,0,1,0,0,0,1,1,0,0,1,0]     => 4
[1,1,1,0,1,0,0,0,1,1,0,1,0,0]     => 4
[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]     => 7
[1,1,1,0,1,0,0,1,0,0,1,1,0,0]     => 3
[1,1,1,0,1,0,0,1,0,1,0,0,1,0]     => 7
[1,1,1,0,1,0,0,1,0,1,0,1,0,0]     => 7
[1,1,1,0,1,0,0,1,0,1,1,0,0,0]     => 4
[1,1,1,0,1,0,0,1,1,0,0,0,1,0]     => 4
[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]     => 4
[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]     => 8
[1,1,1,0,1,0,1,0,0,0,1,1,0,0]     => 4
[1,1,1,0,1,0,1,0,0,1,0,0,1,0]     => 7
[1,1,1,0,1,0,1,0,0,1,0,1,0,0]     => 7
[1,1,1,0,1,0,1,0,0,1,1,0,0,0]     => 4
[1,1,1,0,1,0,1,0,1,0,0,0,1,0]     => 8
[1,1,1,0,1,0,1,0,1,0,0,1,0,0]     => 7
[1,1,1,0,1,0,1,0,1,0,1,0,0,0]     => 8
[1,1,1,0,1,0,1,0,1,1,0,0,0,0]     => 5
[1,1,1,0,1,0,1,1,0,0,0,0,1,0]     => 5
[1,1,1,0,1,0,1,1,0,0,0,1,0,0]     => 4
[1,1,1,0,1,0,1,1,0,0,1,0,0,0]     => 4
[1,1,1,0,1,0,1,1,0,1,0,0,0,0]     => 5
[1,1,1,0,1,0,1,1,1,0,0,0,0,0]     => 3
[1,1,1,0,1,1,0,0,0,0,1,0,1,0]     => 5
[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]     => 4
[1,1,1,0,1,1,0,0,0,1,0,1,0,0]     => 4
[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]     => 4
[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]     => 4
[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]     => 5
[1,1,1,0,1,1,0,1,0,0,0,1,0,0]     => 4
[1,1,1,0,1,1,0,1,0,0,1,0,0,0]     => 4
[1,1,1,0,1,1,0,1,0,1,0,0,0,0]     => 5
[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]     => 3
[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]     => 3
[1,1,1,0,1,1,1,1,0,0,0,0,0,0]     => 1
[1,1,1,1,0,0,0,0,1,0,1,0,1,0]     => 6
[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]     => 0
[1,1,1,1,0,0,0,1,0,0,1,0,1,0]     => 5
[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]     => 5
[1,1,1,1,0,0,0,1,0,1,0,1,0,0]     => 5
[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]     => 1
[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]     => 0
[1,1,1,1,0,0,1,0,0,0,1,0,1,0]     => 5
[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]     => 4
[1,1,1,1,0,0,1,0,0,1,0,1,0,0]     => 4
[1,1,1,1,0,0,1,0,0,1,1,0,0,0]     => 1
[1,1,1,1,0,0,1,0,1,0,0,0,1,0]     => 5
[1,1,1,1,0,0,1,0,1,0,0,1,0,0]     => 4
[1,1,1,1,0,0,1,0,1,0,1,0,0,0]     => 5
[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]     => 1
[1,1,1,1,0,0,1,1,0,0,1,0,0,0]     => 1
[1,1,1,1,0,0,1,1,0,1,0,0,0,0]     => 2
[1,1,1,1,0,0,1,1,1,0,0,0,0,0]     => 0
[1,1,1,1,0,1,0,0,0,0,1,0,1,0]     => 6
[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]     => 5
[1,1,1,1,0,1,0,0,0,1,0,1,0,0]     => 5
[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]     => 5
[1,1,1,1,0,1,0,0,1,0,0,1,0,0]     => 4
[1,1,1,1,0,1,0,0,1,0,1,0,0,0]     => 5
[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]     => 6
[1,1,1,1,0,1,0,1,0,0,0,1,0,0]     => 5
[1,1,1,1,0,1,0,1,0,0,1,0,0,0]     => 5
[1,1,1,1,0,1,0,1,0,1,0,0,0,0]     => 6
[1,1,1,1,0,1,0,1,1,0,0,0,0,0]     => 3
[1,1,1,1,0,1,1,0,0,0,0,0,1,0]     => 3
[1,1,1,1,0,1,1,0,0,0,0,1,0,0]     => 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]     => 3
[1,1,1,1,0,1,1,1,0,0,0,0,0,0]     => 1
[1,1,1,1,1,0,0,0,0,0,1,0,1,0]     => 4
[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]     => 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]     => 0
[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]     => 2
[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]     => 0
[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]     => 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]     => 3
[1,1,1,1,1,0,0,1,1,0,0,0,0,0]     => 0
[1,1,1,1,1,0,1,0,0,0,0,0,1,0]     => 4
[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]     => 4
[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]     => 2
[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]     => 2
[1,1,1,1,1,1,1,0,0,0,0,0,0,0]     => 0
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 16
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 12
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 12
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 12
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 10
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 12
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 8
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 12
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 12
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 9
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 10
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 9
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 10
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 8
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 12
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 8
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 8
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 8
[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 12
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 8
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 12
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 12
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 9
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 9
[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 8
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 9
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 7
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 10
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 6
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 9
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 9
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 6
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 10
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 9
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 10
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 7
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 8
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 7
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 8
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 6
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 12
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 8
[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 8
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 8
[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 6
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 8
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 8
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 8
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 5
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 6
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 5
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 6
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 12
[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 8
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 8
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 8
[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 6
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 12
[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 8
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 12
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 12
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 9
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 9
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 8
[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 9
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 7
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 9
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 5
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 8
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 8
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 5
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 9
[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 8
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 9
[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 6
[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 6
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 6
[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 7
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 5
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 10
[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 6
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 6
[1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 6
[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 4
[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 9
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 5
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 9
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 9
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 6
[1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 6
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 5
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 6
[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 4
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 10
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 6
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 9
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 9
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 6
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 10
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 9
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 10
[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 7
[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 6
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 6
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 7
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 5
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 8
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 4
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 7
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 7
[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 7
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 6
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 7
[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 4
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 8
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 7
[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 7
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 8
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 5
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 6
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 5
[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 5
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 5
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 6
[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] => 12
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 8
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 8
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 8
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 6
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 8
[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 4
[1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 8
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 8
[1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 5
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 6
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 5
[1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 6
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 4
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 4
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 4
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 4
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 2
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 8
[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 4
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 8
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 8
[1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 5
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 5
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 4
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 5
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 3
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 6
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 2
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 5
[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 5
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 2
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 6
[1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 5
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 6
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 3
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 4
[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 3
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 3
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 4
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 2
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 12
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 8
[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 8
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 8
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 6
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 8
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 8
[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 8
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 5
[1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 6
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 5
[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 6
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 12
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 8
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 8
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 8
[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 6
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 12
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 8
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 12
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 12
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 9
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 9
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 8
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 9
[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 7
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 9
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 5
[1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 8
[1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 8
[1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 5
[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 9
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 8
[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 9
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 6
[1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 6
[1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 6
[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 7
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 5
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 9
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 5
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 5
[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 5
[1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 8
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 4
[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 8
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 8
[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 5
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 5
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 4
[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 5
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 3
[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 9
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 5
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 8
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 8
[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 5
[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 9
[1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 8
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 9
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 6
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 6
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 5
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 5
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 6
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 4
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 7
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 3
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 6
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 6
[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 3
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 6
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 5
[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 6
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 3
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 7
[1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 6
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 6
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 7
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 4
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 5
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 4
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 4
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 4
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 5
[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] => 10
[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 6
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 6
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 6
[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 4
[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 6
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 2
[1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 6
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 6
[1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 3
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 4
[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 4
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 2
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 9
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 5
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 5
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 5
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 9
[1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 5
[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 9
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 9
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 6
[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 6
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 5
[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 6
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 4
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 6
[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 5
[1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 5
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 2
[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 6
[1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 5
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 6
[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 3
[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 4
[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3
[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 3
[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 4
[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 2
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 10
[1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 6
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 6
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 6
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 4
[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 9
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 5
[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 9
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 9
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 6
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 6
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 5
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 6
[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 4
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 10
[1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 6
[1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 9
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 9
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 6
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 10
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 9
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 10
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 7
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 7
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 6
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 6
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 7
[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 5
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 7
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 3
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 6
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 6
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 3
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 6
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 5
[1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 6
[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 3
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 7
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 6
[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 6
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 7
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 4
[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 5
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 4
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 4
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 4
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 5
[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] => 8
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 4
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 4
[1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 4
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 2
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 7
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 3
[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 7
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 7
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 4
[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 4
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 3
[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 4
[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 2
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 7
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 3
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 6
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 6
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 3
[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 7
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 6
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 7
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 4
[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 4
[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 3
[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 3
[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 4
[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 2
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 8
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 4
[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 7
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 7
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 4
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 7
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 6
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 7
[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 4
[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 8
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 7
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 7
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 8
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 5
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 5
[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 4
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 4
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 4
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 5
[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] => 6
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 2
[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 5
[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 5
[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 2
[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 5
[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 4
[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 5
[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 2
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 5
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 4
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 4
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 5
[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 2
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 6
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 5
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 5
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 5
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 6
[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] => 3
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 3
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 3
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 3
[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] => 2
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 12
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 8
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 8
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 8
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 6
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 8
[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 4
[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => 8
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => 8
[1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => 5
[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 6
[1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => 5
[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => 6
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 4
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 4
[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 4
[1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => 4
[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 2
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => 8
[1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => 4
[1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => 8
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => 8
[1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => 5
[1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => 5
[1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => 4
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => 5
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => 3
[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 6
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 2
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => 5
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => 5
[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => 2
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => 6
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => 5
[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => 6
[1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => 3
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 4
[1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => 3
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => 3
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => 4
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 2
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 4
[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 4
[1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => 4
[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 2
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 4
[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] => 4
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => 4
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => 1
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 2
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 1
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => 2
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 0
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 4
[1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 4
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 4
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 2
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 4
[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => 8
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => 8
[1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => 5
[1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => 5
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => 4
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => 5
[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => 3
[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 5
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 1
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 4
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => 4
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => 1
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => 5
[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => 4
[1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => 5
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => 2
[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => 3
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => 2
[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => 2
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => 3
[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => 1
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 2
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 2
[1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 2
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 0
[1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 5
[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] => 5
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => 5
[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => 2
[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 2
[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] => 2
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => 0
[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 6
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 2
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 5
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => 5
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => 2
[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => 6
[1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => 5
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => 6
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => 3
[1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => 3
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => 2
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => 2
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => 3
[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => 1
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 4
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 0
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 3
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => 3
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => 0
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 3
[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] => 3
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => 0
[1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => 4
[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => 3
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => 3
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => 4
[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] => 2
[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] => 2
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 12
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => 8
[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => 8
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => 8
[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => 6
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 8
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 4
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 8
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => 8
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => 5
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 6
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 5
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => 6
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => 4

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Created: Jan 14, 2021 at 13:45 by Martin Rubey

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Last Updated: Jan 14, 2021 at 13:45 by Martin Rubey