*****************************************************************************
*       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: St001688

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

-----------------------------------------------------------------------------
Description: The sum of the squares of the heights of the peaks of a Dyck path.

-----------------------------------------------------------------------------
References: [1]   a(n) = (2n+1)!/n!^2. [[OEIS:A002457]]

-----------------------------------------------------------------------------
Code:
def statistic(D):
    H = D.heights()
    return sum(H[p+1]^2 for p in D.peaks())


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

[1,0]                             => 1
[1,0,1,0]                         => 2
[1,1,0,0]                         => 4
[1,0,1,0,1,0]                     => 3
[1,0,1,1,0,0]                     => 5
[1,1,0,0,1,0]                     => 5
[1,1,0,1,0,0]                     => 8
[1,1,1,0,0,0]                     => 9
[1,0,1,0,1,0,1,0]                 => 4
[1,0,1,0,1,1,0,0]                 => 6
[1,0,1,1,0,0,1,0]                 => 6
[1,0,1,1,0,1,0,0]                 => 9
[1,0,1,1,1,0,0,0]                 => 10
[1,1,0,0,1,0,1,0]                 => 6
[1,1,0,0,1,1,0,0]                 => 8
[1,1,0,1,0,0,1,0]                 => 9
[1,1,0,1,0,1,0,0]                 => 12
[1,1,0,1,1,0,0,0]                 => 13
[1,1,1,0,0,0,1,0]                 => 10
[1,1,1,0,0,1,0,0]                 => 13
[1,1,1,0,1,0,0,0]                 => 18
[1,1,1,1,0,0,0,0]                 => 16
[1,0,1,0,1,0,1,0,1,0]             => 5
[1,0,1,0,1,0,1,1,0,0]             => 7
[1,0,1,0,1,1,0,0,1,0]             => 7
[1,0,1,0,1,1,0,1,0,0]             => 10
[1,0,1,0,1,1,1,0,0,0]             => 11
[1,0,1,1,0,0,1,0,1,0]             => 7
[1,0,1,1,0,0,1,1,0,0]             => 9
[1,0,1,1,0,1,0,0,1,0]             => 10
[1,0,1,1,0,1,0,1,0,0]             => 13
[1,0,1,1,0,1,1,0,0,0]             => 14
[1,0,1,1,1,0,0,0,1,0]             => 11
[1,0,1,1,1,0,0,1,0,0]             => 14
[1,0,1,1,1,0,1,0,0,0]             => 19
[1,0,1,1,1,1,0,0,0,0]             => 17
[1,1,0,0,1,0,1,0,1,0]             => 7
[1,1,0,0,1,0,1,1,0,0]             => 9
[1,1,0,0,1,1,0,0,1,0]             => 9
[1,1,0,0,1,1,0,1,0,0]             => 12
[1,1,0,0,1,1,1,0,0,0]             => 13
[1,1,0,1,0,0,1,0,1,0]             => 10
[1,1,0,1,0,0,1,1,0,0]             => 12
[1,1,0,1,0,1,0,0,1,0]             => 13
[1,1,0,1,0,1,0,1,0,0]             => 16
[1,1,0,1,0,1,1,0,0,0]             => 17
[1,1,0,1,1,0,0,0,1,0]             => 14
[1,1,0,1,1,0,0,1,0,0]             => 17
[1,1,0,1,1,0,1,0,0,0]             => 22
[1,1,0,1,1,1,0,0,0,0]             => 20
[1,1,1,0,0,0,1,0,1,0]             => 11
[1,1,1,0,0,0,1,1,0,0]             => 13
[1,1,1,0,0,1,0,0,1,0]             => 14
[1,1,1,0,0,1,0,1,0,0]             => 17
[1,1,1,0,0,1,1,0,0,0]             => 18
[1,1,1,0,1,0,0,0,1,0]             => 19
[1,1,1,0,1,0,0,1,0,0]             => 22
[1,1,1,0,1,0,1,0,0,0]             => 27
[1,1,1,0,1,1,0,0,0,0]             => 25
[1,1,1,1,0,0,0,0,1,0]             => 17
[1,1,1,1,0,0,0,1,0,0]             => 20
[1,1,1,1,0,0,1,0,0,0]             => 25
[1,1,1,1,0,1,0,0,0,0]             => 32
[1,1,1,1,1,0,0,0,0,0]             => 25
[1,0,1,0,1,0,1,0,1,0,1,0]         => 6
[1,0,1,0,1,0,1,0,1,1,0,0]         => 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]         => 11
[1,0,1,0,1,0,1,1,1,0,0,0]         => 12
[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]         => 10
[1,0,1,0,1,1,0,1,0,0,1,0]         => 11
[1,0,1,0,1,1,0,1,0,1,0,0]         => 14
[1,0,1,0,1,1,0,1,1,0,0,0]         => 15
[1,0,1,0,1,1,1,0,0,0,1,0]         => 12
[1,0,1,0,1,1,1,0,0,1,0,0]         => 15
[1,0,1,0,1,1,1,0,1,0,0,0]         => 20
[1,0,1,0,1,1,1,1,0,0,0,0]         => 18
[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]         => 10
[1,0,1,1,0,0,1,1,0,0,1,0]         => 10
[1,0,1,1,0,0,1,1,0,1,0,0]         => 13
[1,0,1,1,0,0,1,1,1,0,0,0]         => 14
[1,0,1,1,0,1,0,0,1,0,1,0]         => 11
[1,0,1,1,0,1,0,0,1,1,0,0]         => 13
[1,0,1,1,0,1,0,1,0,0,1,0]         => 14
[1,0,1,1,0,1,0,1,0,1,0,0]         => 17
[1,0,1,1,0,1,0,1,1,0,0,0]         => 18
[1,0,1,1,0,1,1,0,0,0,1,0]         => 15
[1,0,1,1,0,1,1,0,0,1,0,0]         => 18
[1,0,1,1,0,1,1,0,1,0,0,0]         => 23
[1,0,1,1,0,1,1,1,0,0,0,0]         => 21
[1,0,1,1,1,0,0,0,1,0,1,0]         => 12
[1,0,1,1,1,0,0,0,1,1,0,0]         => 14
[1,0,1,1,1,0,0,1,0,0,1,0]         => 15
[1,0,1,1,1,0,0,1,0,1,0,0]         => 18
[1,0,1,1,1,0,0,1,1,0,0,0]         => 19
[1,0,1,1,1,0,1,0,0,0,1,0]         => 20
[1,0,1,1,1,0,1,0,0,1,0,0]         => 23
[1,0,1,1,1,0,1,0,1,0,0,0]         => 28
[1,0,1,1,1,0,1,1,0,0,0,0]         => 26
[1,0,1,1,1,1,0,0,0,0,1,0]         => 18
[1,0,1,1,1,1,0,0,0,1,0,0]         => 21
[1,0,1,1,1,1,0,0,1,0,0,0]         => 26
[1,0,1,1,1,1,0,1,0,0,0,0]         => 33
[1,0,1,1,1,1,1,0,0,0,0,0]         => 26
[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]         => 10
[1,1,0,0,1,0,1,1,0,0,1,0]         => 10
[1,1,0,0,1,0,1,1,0,1,0,0]         => 13
[1,1,0,0,1,0,1,1,1,0,0,0]         => 14
[1,1,0,0,1,1,0,0,1,0,1,0]         => 10
[1,1,0,0,1,1,0,0,1,1,0,0]         => 12
[1,1,0,0,1,1,0,1,0,0,1,0]         => 13
[1,1,0,0,1,1,0,1,0,1,0,0]         => 16
[1,1,0,0,1,1,0,1,1,0,0,0]         => 17
[1,1,0,0,1,1,1,0,0,0,1,0]         => 14
[1,1,0,0,1,1,1,0,0,1,0,0]         => 17
[1,1,0,0,1,1,1,0,1,0,0,0]         => 22
[1,1,0,0,1,1,1,1,0,0,0,0]         => 20
[1,1,0,1,0,0,1,0,1,0,1,0]         => 11
[1,1,0,1,0,0,1,0,1,1,0,0]         => 13
[1,1,0,1,0,0,1,1,0,0,1,0]         => 13
[1,1,0,1,0,0,1,1,0,1,0,0]         => 16
[1,1,0,1,0,0,1,1,1,0,0,0]         => 17
[1,1,0,1,0,1,0,0,1,0,1,0]         => 14
[1,1,0,1,0,1,0,0,1,1,0,0]         => 16
[1,1,0,1,0,1,0,1,0,0,1,0]         => 17
[1,1,0,1,0,1,0,1,0,1,0,0]         => 20
[1,1,0,1,0,1,0,1,1,0,0,0]         => 21
[1,1,0,1,0,1,1,0,0,0,1,0]         => 18
[1,1,0,1,0,1,1,0,0,1,0,0]         => 21
[1,1,0,1,0,1,1,0,1,0,0,0]         => 26
[1,1,0,1,0,1,1,1,0,0,0,0]         => 24
[1,1,0,1,1,0,0,0,1,0,1,0]         => 15
[1,1,0,1,1,0,0,0,1,1,0,0]         => 17
[1,1,0,1,1,0,0,1,0,0,1,0]         => 18
[1,1,0,1,1,0,0,1,0,1,0,0]         => 21
[1,1,0,1,1,0,0,1,1,0,0,0]         => 22
[1,1,0,1,1,0,1,0,0,0,1,0]         => 23
[1,1,0,1,1,0,1,0,0,1,0,0]         => 26
[1,1,0,1,1,0,1,0,1,0,0,0]         => 31
[1,1,0,1,1,0,1,1,0,0,0,0]         => 29
[1,1,0,1,1,1,0,0,0,0,1,0]         => 21
[1,1,0,1,1,1,0,0,0,1,0,0]         => 24
[1,1,0,1,1,1,0,0,1,0,0,0]         => 29
[1,1,0,1,1,1,0,1,0,0,0,0]         => 36
[1,1,0,1,1,1,1,0,0,0,0,0]         => 29
[1,1,1,0,0,0,1,0,1,0,1,0]         => 12
[1,1,1,0,0,0,1,0,1,1,0,0]         => 14
[1,1,1,0,0,0,1,1,0,0,1,0]         => 14
[1,1,1,0,0,0,1,1,0,1,0,0]         => 17
[1,1,1,0,0,0,1,1,1,0,0,0]         => 18
[1,1,1,0,0,1,0,0,1,0,1,0]         => 15
[1,1,1,0,0,1,0,0,1,1,0,0]         => 17
[1,1,1,0,0,1,0,1,0,0,1,0]         => 18
[1,1,1,0,0,1,0,1,0,1,0,0]         => 21
[1,1,1,0,0,1,0,1,1,0,0,0]         => 22
[1,1,1,0,0,1,1,0,0,0,1,0]         => 19
[1,1,1,0,0,1,1,0,0,1,0,0]         => 22
[1,1,1,0,0,1,1,0,1,0,0,0]         => 27
[1,1,1,0,0,1,1,1,0,0,0,0]         => 25
[1,1,1,0,1,0,0,0,1,0,1,0]         => 20
[1,1,1,0,1,0,0,0,1,1,0,0]         => 22
[1,1,1,0,1,0,0,1,0,0,1,0]         => 23
[1,1,1,0,1,0,0,1,0,1,0,0]         => 26
[1,1,1,0,1,0,0,1,1,0,0,0]         => 27
[1,1,1,0,1,0,1,0,0,0,1,0]         => 28
[1,1,1,0,1,0,1,0,0,1,0,0]         => 31
[1,1,1,0,1,0,1,0,1,0,0,0]         => 36
[1,1,1,0,1,0,1,1,0,0,0,0]         => 34
[1,1,1,0,1,1,0,0,0,0,1,0]         => 26
[1,1,1,0,1,1,0,0,0,1,0,0]         => 29
[1,1,1,0,1,1,0,0,1,0,0,0]         => 34
[1,1,1,0,1,1,0,1,0,0,0,0]         => 41
[1,1,1,0,1,1,1,0,0,0,0,0]         => 34
[1,1,1,1,0,0,0,0,1,0,1,0]         => 18
[1,1,1,1,0,0,0,0,1,1,0,0]         => 20
[1,1,1,1,0,0,0,1,0,0,1,0]         => 21
[1,1,1,1,0,0,0,1,0,1,0,0]         => 24
[1,1,1,1,0,0,0,1,1,0,0,0]         => 25
[1,1,1,1,0,0,1,0,0,0,1,0]         => 26
[1,1,1,1,0,0,1,0,0,1,0,0]         => 29
[1,1,1,1,0,0,1,0,1,0,0,0]         => 34
[1,1,1,1,0,0,1,1,0,0,0,0]         => 32
[1,1,1,1,0,1,0,0,0,0,1,0]         => 33
[1,1,1,1,0,1,0,0,0,1,0,0]         => 36
[1,1,1,1,0,1,0,0,1,0,0,0]         => 41
[1,1,1,1,0,1,0,1,0,0,0,0]         => 48
[1,1,1,1,0,1,1,0,0,0,0,0]         => 41
[1,1,1,1,1,0,0,0,0,0,1,0]         => 26
[1,1,1,1,1,0,0,0,0,1,0,0]         => 29
[1,1,1,1,1,0,0,0,1,0,0,0]         => 34
[1,1,1,1,1,0,0,1,0,0,0,0]         => 41
[1,1,1,1,1,0,1,0,0,0,0,0]         => 50
[1,1,1,1,1,1,0,0,0,0,0,0]         => 36
[1,0,1,0,1,0,1,0,1,0,1,0,1,0]     => 7
[1,0,1,0,1,0,1,0,1,0,1,1,0,0]     => 9
[1,0,1,0,1,0,1,0,1,1,0,0,1,0]     => 9
[1,0,1,0,1,0,1,0,1,1,0,1,0,0]     => 12
[1,0,1,0,1,0,1,0,1,1,1,0,0,0]     => 13
[1,0,1,0,1,0,1,1,0,0,1,0,1,0]     => 9
[1,0,1,0,1,0,1,1,0,0,1,1,0,0]     => 11
[1,0,1,0,1,0,1,1,0,1,0,0,1,0]     => 12
[1,0,1,0,1,0,1,1,0,1,0,1,0,0]     => 15
[1,0,1,0,1,0,1,1,0,1,1,0,0,0]     => 16
[1,0,1,0,1,0,1,1,1,0,0,0,1,0]     => 13
[1,0,1,0,1,0,1,1,1,0,0,1,0,0]     => 16
[1,0,1,0,1,0,1,1,1,0,1,0,0,0]     => 21
[1,0,1,0,1,0,1,1,1,1,0,0,0,0]     => 19
[1,0,1,0,1,1,0,0,1,0,1,0,1,0]     => 9
[1,0,1,0,1,1,0,0,1,0,1,1,0,0]     => 11
[1,0,1,0,1,1,0,0,1,1,0,0,1,0]     => 11
[1,0,1,0,1,1,0,0,1,1,0,1,0,0]     => 14
[1,0,1,0,1,1,0,0,1,1,1,0,0,0]     => 15
[1,0,1,0,1,1,0,1,0,0,1,0,1,0]     => 12
[1,0,1,0,1,1,0,1,0,0,1,1,0,0]     => 14
[1,0,1,0,1,1,0,1,0,1,0,0,1,0]     => 15
[1,0,1,0,1,1,0,1,0,1,0,1,0,0]     => 18
[1,0,1,0,1,1,0,1,0,1,1,0,0,0]     => 19
[1,0,1,0,1,1,0,1,1,0,0,0,1,0]     => 16
[1,0,1,0,1,1,0,1,1,0,0,1,0,0]     => 19
[1,0,1,0,1,1,0,1,1,0,1,0,0,0]     => 24
[1,0,1,0,1,1,0,1,1,1,0,0,0,0]     => 22
[1,0,1,0,1,1,1,0,0,0,1,0,1,0]     => 13
[1,0,1,0,1,1,1,0,0,0,1,1,0,0]     => 15
[1,0,1,0,1,1,1,0,0,1,0,0,1,0]     => 16
[1,0,1,0,1,1,1,0,0,1,0,1,0,0]     => 19
[1,0,1,0,1,1,1,0,0,1,1,0,0,0]     => 20
[1,0,1,0,1,1,1,0,1,0,0,0,1,0]     => 21
[1,0,1,0,1,1,1,0,1,0,0,1,0,0]     => 24
[1,0,1,0,1,1,1,0,1,0,1,0,0,0]     => 29
[1,0,1,0,1,1,1,0,1,1,0,0,0,0]     => 27
[1,0,1,0,1,1,1,1,0,0,0,0,1,0]     => 19
[1,0,1,0,1,1,1,1,0,0,0,1,0,0]     => 22
[1,0,1,0,1,1,1,1,0,0,1,0,0,0]     => 27
[1,0,1,0,1,1,1,1,0,1,0,0,0,0]     => 34
[1,0,1,0,1,1,1,1,1,0,0,0,0,0]     => 27
[1,0,1,1,0,0,1,0,1,0,1,0,1,0]     => 9
[1,0,1,1,0,0,1,0,1,0,1,1,0,0]     => 11
[1,0,1,1,0,0,1,0,1,1,0,0,1,0]     => 11
[1,0,1,1,0,0,1,0,1,1,0,1,0,0]     => 14
[1,0,1,1,0,0,1,0,1,1,1,0,0,0]     => 15
[1,0,1,1,0,0,1,1,0,0,1,0,1,0]     => 11
[1,0,1,1,0,0,1,1,0,0,1,1,0,0]     => 13
[1,0,1,1,0,0,1,1,0,1,0,0,1,0]     => 14
[1,0,1,1,0,0,1,1,0,1,0,1,0,0]     => 17
[1,0,1,1,0,0,1,1,0,1,1,0,0,0]     => 18
[1,0,1,1,0,0,1,1,1,0,0,0,1,0]     => 15
[1,0,1,1,0,0,1,1,1,0,0,1,0,0]     => 18
[1,0,1,1,0,0,1,1,1,0,1,0,0,0]     => 23
[1,0,1,1,0,0,1,1,1,1,0,0,0,0]     => 21
[1,0,1,1,0,1,0,0,1,0,1,0,1,0]     => 12
[1,0,1,1,0,1,0,0,1,0,1,1,0,0]     => 14
[1,0,1,1,0,1,0,0,1,1,0,0,1,0]     => 14
[1,0,1,1,0,1,0,0,1,1,0,1,0,0]     => 17
[1,0,1,1,0,1,0,0,1,1,1,0,0,0]     => 18
[1,0,1,1,0,1,0,1,0,0,1,0,1,0]     => 15
[1,0,1,1,0,1,0,1,0,0,1,1,0,0]     => 17
[1,0,1,1,0,1,0,1,0,1,0,0,1,0]     => 18
[1,0,1,1,0,1,0,1,0,1,0,1,0,0]     => 21
[1,0,1,1,0,1,0,1,0,1,1,0,0,0]     => 22
[1,0,1,1,0,1,0,1,1,0,0,0,1,0]     => 19
[1,0,1,1,0,1,0,1,1,0,0,1,0,0]     => 22
[1,0,1,1,0,1,0,1,1,0,1,0,0,0]     => 27
[1,0,1,1,0,1,0,1,1,1,0,0,0,0]     => 25
[1,0,1,1,0,1,1,0,0,0,1,0,1,0]     => 16
[1,0,1,1,0,1,1,0,0,0,1,1,0,0]     => 18
[1,0,1,1,0,1,1,0,0,1,0,0,1,0]     => 19
[1,0,1,1,0,1,1,0,0,1,0,1,0,0]     => 22
[1,0,1,1,0,1,1,0,0,1,1,0,0,0]     => 23
[1,0,1,1,0,1,1,0,1,0,0,0,1,0]     => 24
[1,0,1,1,0,1,1,0,1,0,0,1,0,0]     => 27
[1,0,1,1,0,1,1,0,1,0,1,0,0,0]     => 32
[1,0,1,1,0,1,1,0,1,1,0,0,0,0]     => 30
[1,0,1,1,0,1,1,1,0,0,0,0,1,0]     => 22
[1,0,1,1,0,1,1,1,0,0,0,1,0,0]     => 25
[1,0,1,1,0,1,1,1,0,0,1,0,0,0]     => 30
[1,0,1,1,0,1,1,1,0,1,0,0,0,0]     => 37
[1,0,1,1,0,1,1,1,1,0,0,0,0,0]     => 30
[1,0,1,1,1,0,0,0,1,0,1,0,1,0]     => 13
[1,0,1,1,1,0,0,0,1,0,1,1,0,0]     => 15
[1,0,1,1,1,0,0,0,1,1,0,0,1,0]     => 15
[1,0,1,1,1,0,0,0,1,1,0,1,0,0]     => 18
[1,0,1,1,1,0,0,0,1,1,1,0,0,0]     => 19
[1,0,1,1,1,0,0,1,0,0,1,0,1,0]     => 16
[1,0,1,1,1,0,0,1,0,0,1,1,0,0]     => 18
[1,0,1,1,1,0,0,1,0,1,0,0,1,0]     => 19
[1,0,1,1,1,0,0,1,0,1,0,1,0,0]     => 22
[1,0,1,1,1,0,0,1,0,1,1,0,0,0]     => 23
[1,0,1,1,1,0,0,1,1,0,0,0,1,0]     => 20
[1,0,1,1,1,0,0,1,1,0,0,1,0,0]     => 23
[1,0,1,1,1,0,0,1,1,0,1,0,0,0]     => 28
[1,0,1,1,1,0,0,1,1,1,0,0,0,0]     => 26
[1,0,1,1,1,0,1,0,0,0,1,0,1,0]     => 21
[1,0,1,1,1,0,1,0,0,0,1,1,0,0]     => 23
[1,0,1,1,1,0,1,0,0,1,0,0,1,0]     => 24
[1,0,1,1,1,0,1,0,0,1,0,1,0,0]     => 27
[1,0,1,1,1,0,1,0,0,1,1,0,0,0]     => 28
[1,0,1,1,1,0,1,0,1,0,0,0,1,0]     => 29
[1,0,1,1,1,0,1,0,1,0,0,1,0,0]     => 32
[1,0,1,1,1,0,1,0,1,0,1,0,0,0]     => 37
[1,0,1,1,1,0,1,0,1,1,0,0,0,0]     => 35
[1,0,1,1,1,0,1,1,0,0,0,0,1,0]     => 27
[1,0,1,1,1,0,1,1,0,0,0,1,0,0]     => 30
[1,0,1,1,1,0,1,1,0,0,1,0,0,0]     => 35
[1,0,1,1,1,0,1,1,0,1,0,0,0,0]     => 42
[1,0,1,1,1,0,1,1,1,0,0,0,0,0]     => 35
[1,0,1,1,1,1,0,0,0,0,1,0,1,0]     => 19
[1,0,1,1,1,1,0,0,0,0,1,1,0,0]     => 21
[1,0,1,1,1,1,0,0,0,1,0,0,1,0]     => 22
[1,0,1,1,1,1,0,0,0,1,0,1,0,0]     => 25
[1,0,1,1,1,1,0,0,0,1,1,0,0,0]     => 26
[1,0,1,1,1,1,0,0,1,0,0,0,1,0]     => 27
[1,0,1,1,1,1,0,0,1,0,0,1,0,0]     => 30
[1,0,1,1,1,1,0,0,1,0,1,0,0,0]     => 35
[1,0,1,1,1,1,0,0,1,1,0,0,0,0]     => 33
[1,0,1,1,1,1,0,1,0,0,0,0,1,0]     => 34
[1,0,1,1,1,1,0,1,0,0,0,1,0,0]     => 37
[1,0,1,1,1,1,0,1,0,0,1,0,0,0]     => 42
[1,0,1,1,1,1,0,1,0,1,0,0,0,0]     => 49
[1,0,1,1,1,1,0,1,1,0,0,0,0,0]     => 42
[1,0,1,1,1,1,1,0,0,0,0,0,1,0]     => 27
[1,0,1,1,1,1,1,0,0,0,0,1,0,0]     => 30
[1,0,1,1,1,1,1,0,0,0,1,0,0,0]     => 35
[1,0,1,1,1,1,1,0,0,1,0,0,0,0]     => 42
[1,0,1,1,1,1,1,0,1,0,0,0,0,0]     => 51
[1,0,1,1,1,1,1,1,0,0,0,0,0,0]     => 37
[1,1,0,0,1,0,1,0,1,0,1,0,1,0]     => 9
[1,1,0,0,1,0,1,0,1,0,1,1,0,0]     => 11
[1,1,0,0,1,0,1,0,1,1,0,0,1,0]     => 11
[1,1,0,0,1,0,1,0,1,1,0,1,0,0]     => 14
[1,1,0,0,1,0,1,0,1,1,1,0,0,0]     => 15
[1,1,0,0,1,0,1,1,0,0,1,0,1,0]     => 11
[1,1,0,0,1,0,1,1,0,0,1,1,0,0]     => 13
[1,1,0,0,1,0,1,1,0,1,0,0,1,0]     => 14
[1,1,0,0,1,0,1,1,0,1,0,1,0,0]     => 17
[1,1,0,0,1,0,1,1,0,1,1,0,0,0]     => 18
[1,1,0,0,1,0,1,1,1,0,0,0,1,0]     => 15
[1,1,0,0,1,0,1,1,1,0,0,1,0,0]     => 18
[1,1,0,0,1,0,1,1,1,0,1,0,0,0]     => 23
[1,1,0,0,1,0,1,1,1,1,0,0,0,0]     => 21
[1,1,0,0,1,1,0,0,1,0,1,0,1,0]     => 11
[1,1,0,0,1,1,0,0,1,0,1,1,0,0]     => 13
[1,1,0,0,1,1,0,0,1,1,0,0,1,0]     => 13
[1,1,0,0,1,1,0,0,1,1,0,1,0,0]     => 16
[1,1,0,0,1,1,0,0,1,1,1,0,0,0]     => 17
[1,1,0,0,1,1,0,1,0,0,1,0,1,0]     => 14
[1,1,0,0,1,1,0,1,0,0,1,1,0,0]     => 16
[1,1,0,0,1,1,0,1,0,1,0,0,1,0]     => 17
[1,1,0,0,1,1,0,1,0,1,0,1,0,0]     => 20
[1,1,0,0,1,1,0,1,0,1,1,0,0,0]     => 21
[1,1,0,0,1,1,0,1,1,0,0,0,1,0]     => 18
[1,1,0,0,1,1,0,1,1,0,0,1,0,0]     => 21
[1,1,0,0,1,1,0,1,1,0,1,0,0,0]     => 26
[1,1,0,0,1,1,0,1,1,1,0,0,0,0]     => 24
[1,1,0,0,1,1,1,0,0,0,1,0,1,0]     => 15
[1,1,0,0,1,1,1,0,0,0,1,1,0,0]     => 17
[1,1,0,0,1,1,1,0,0,1,0,0,1,0]     => 18
[1,1,0,0,1,1,1,0,0,1,0,1,0,0]     => 21
[1,1,0,0,1,1,1,0,0,1,1,0,0,0]     => 22
[1,1,0,0,1,1,1,0,1,0,0,0,1,0]     => 23
[1,1,0,0,1,1,1,0,1,0,0,1,0,0]     => 26
[1,1,0,0,1,1,1,0,1,0,1,0,0,0]     => 31
[1,1,0,0,1,1,1,0,1,1,0,0,0,0]     => 29
[1,1,0,0,1,1,1,1,0,0,0,0,1,0]     => 21
[1,1,0,0,1,1,1,1,0,0,0,1,0,0]     => 24
[1,1,0,0,1,1,1,1,0,0,1,0,0,0]     => 29
[1,1,0,0,1,1,1,1,0,1,0,0,0,0]     => 36
[1,1,0,0,1,1,1,1,1,0,0,0,0,0]     => 29
[1,1,0,1,0,0,1,0,1,0,1,0,1,0]     => 12
[1,1,0,1,0,0,1,0,1,0,1,1,0,0]     => 14
[1,1,0,1,0,0,1,0,1,1,0,0,1,0]     => 14
[1,1,0,1,0,0,1,0,1,1,0,1,0,0]     => 17
[1,1,0,1,0,0,1,0,1,1,1,0,0,0]     => 18
[1,1,0,1,0,0,1,1,0,0,1,0,1,0]     => 14
[1,1,0,1,0,0,1,1,0,0,1,1,0,0]     => 16
[1,1,0,1,0,0,1,1,0,1,0,0,1,0]     => 17
[1,1,0,1,0,0,1,1,0,1,0,1,0,0]     => 20
[1,1,0,1,0,0,1,1,0,1,1,0,0,0]     => 21
[1,1,0,1,0,0,1,1,1,0,0,0,1,0]     => 18
[1,1,0,1,0,0,1,1,1,0,0,1,0,0]     => 21
[1,1,0,1,0,0,1,1,1,0,1,0,0,0]     => 26
[1,1,0,1,0,0,1,1,1,1,0,0,0,0]     => 24
[1,1,0,1,0,1,0,0,1,0,1,0,1,0]     => 15
[1,1,0,1,0,1,0,0,1,0,1,1,0,0]     => 17
[1,1,0,1,0,1,0,0,1,1,0,0,1,0]     => 17
[1,1,0,1,0,1,0,0,1,1,0,1,0,0]     => 20
[1,1,0,1,0,1,0,0,1,1,1,0,0,0]     => 21
[1,1,0,1,0,1,0,1,0,0,1,0,1,0]     => 18
[1,1,0,1,0,1,0,1,0,0,1,1,0,0]     => 20
[1,1,0,1,0,1,0,1,0,1,0,0,1,0]     => 21
[1,1,0,1,0,1,0,1,0,1,0,1,0,0]     => 24
[1,1,0,1,0,1,0,1,0,1,1,0,0,0]     => 25
[1,1,0,1,0,1,0,1,1,0,0,0,1,0]     => 22
[1,1,0,1,0,1,0,1,1,0,0,1,0,0]     => 25
[1,1,0,1,0,1,0,1,1,0,1,0,0,0]     => 30
[1,1,0,1,0,1,0,1,1,1,0,0,0,0]     => 28
[1,1,0,1,0,1,1,0,0,0,1,0,1,0]     => 19
[1,1,0,1,0,1,1,0,0,0,1,1,0,0]     => 21
[1,1,0,1,0,1,1,0,0,1,0,0,1,0]     => 22
[1,1,0,1,0,1,1,0,0,1,0,1,0,0]     => 25
[1,1,0,1,0,1,1,0,0,1,1,0,0,0]     => 26
[1,1,0,1,0,1,1,0,1,0,0,0,1,0]     => 27
[1,1,0,1,0,1,1,0,1,0,0,1,0,0]     => 30
[1,1,0,1,0,1,1,0,1,0,1,0,0,0]     => 35
[1,1,0,1,0,1,1,0,1,1,0,0,0,0]     => 33
[1,1,0,1,0,1,1,1,0,0,0,0,1,0]     => 25
[1,1,0,1,0,1,1,1,0,0,0,1,0,0]     => 28
[1,1,0,1,0,1,1,1,0,0,1,0,0,0]     => 33
[1,1,0,1,0,1,1,1,0,1,0,0,0,0]     => 40
[1,1,0,1,0,1,1,1,1,0,0,0,0,0]     => 33
[1,1,0,1,1,0,0,0,1,0,1,0,1,0]     => 16
[1,1,0,1,1,0,0,0,1,0,1,1,0,0]     => 18
[1,1,0,1,1,0,0,0,1,1,0,0,1,0]     => 18
[1,1,0,1,1,0,0,0,1,1,0,1,0,0]     => 21
[1,1,0,1,1,0,0,0,1,1,1,0,0,0]     => 22
[1,1,0,1,1,0,0,1,0,0,1,0,1,0]     => 19
[1,1,0,1,1,0,0,1,0,0,1,1,0,0]     => 21
[1,1,0,1,1,0,0,1,0,1,0,0,1,0]     => 22
[1,1,0,1,1,0,0,1,0,1,0,1,0,0]     => 25
[1,1,0,1,1,0,0,1,0,1,1,0,0,0]     => 26
[1,1,0,1,1,0,0,1,1,0,0,0,1,0]     => 23
[1,1,0,1,1,0,0,1,1,0,0,1,0,0]     => 26
[1,1,0,1,1,0,0,1,1,0,1,0,0,0]     => 31
[1,1,0,1,1,0,0,1,1,1,0,0,0,0]     => 29
[1,1,0,1,1,0,1,0,0,0,1,0,1,0]     => 24
[1,1,0,1,1,0,1,0,0,0,1,1,0,0]     => 26
[1,1,0,1,1,0,1,0,0,1,0,0,1,0]     => 27
[1,1,0,1,1,0,1,0,0,1,0,1,0,0]     => 30
[1,1,0,1,1,0,1,0,0,1,1,0,0,0]     => 31
[1,1,0,1,1,0,1,0,1,0,0,0,1,0]     => 32
[1,1,0,1,1,0,1,0,1,0,0,1,0,0]     => 35
[1,1,0,1,1,0,1,0,1,0,1,0,0,0]     => 40
[1,1,0,1,1,0,1,0,1,1,0,0,0,0]     => 38
[1,1,0,1,1,0,1,1,0,0,0,0,1,0]     => 30
[1,1,0,1,1,0,1,1,0,0,0,1,0,0]     => 33
[1,1,0,1,1,0,1,1,0,0,1,0,0,0]     => 38
[1,1,0,1,1,0,1,1,0,1,0,0,0,0]     => 45
[1,1,0,1,1,0,1,1,1,0,0,0,0,0]     => 38
[1,1,0,1,1,1,0,0,0,0,1,0,1,0]     => 22
[1,1,0,1,1,1,0,0,0,0,1,1,0,0]     => 24
[1,1,0,1,1,1,0,0,0,1,0,0,1,0]     => 25
[1,1,0,1,1,1,0,0,0,1,0,1,0,0]     => 28
[1,1,0,1,1,1,0,0,0,1,1,0,0,0]     => 29
[1,1,0,1,1,1,0,0,1,0,0,0,1,0]     => 30
[1,1,0,1,1,1,0,0,1,0,0,1,0,0]     => 33
[1,1,0,1,1,1,0,0,1,0,1,0,0,0]     => 38
[1,1,0,1,1,1,0,0,1,1,0,0,0,0]     => 36
[1,1,0,1,1,1,0,1,0,0,0,0,1,0]     => 37
[1,1,0,1,1,1,0,1,0,0,0,1,0,0]     => 40
[1,1,0,1,1,1,0,1,0,0,1,0,0,0]     => 45
[1,1,0,1,1,1,0,1,0,1,0,0,0,0]     => 52
[1,1,0,1,1,1,0,1,1,0,0,0,0,0]     => 45
[1,1,0,1,1,1,1,0,0,0,0,0,1,0]     => 30
[1,1,0,1,1,1,1,0,0,0,0,1,0,0]     => 33
[1,1,0,1,1,1,1,0,0,0,1,0,0,0]     => 38
[1,1,0,1,1,1,1,0,0,1,0,0,0,0]     => 45
[1,1,0,1,1,1,1,0,1,0,0,0,0,0]     => 54
[1,1,0,1,1,1,1,1,0,0,0,0,0,0]     => 40
[1,1,1,0,0,0,1,0,1,0,1,0,1,0]     => 13
[1,1,1,0,0,0,1,0,1,0,1,1,0,0]     => 15
[1,1,1,0,0,0,1,0,1,1,0,0,1,0]     => 15
[1,1,1,0,0,0,1,0,1,1,0,1,0,0]     => 18
[1,1,1,0,0,0,1,0,1,1,1,0,0,0]     => 19
[1,1,1,0,0,0,1,1,0,0,1,0,1,0]     => 15
[1,1,1,0,0,0,1,1,0,0,1,1,0,0]     => 17
[1,1,1,0,0,0,1,1,0,1,0,0,1,0]     => 18
[1,1,1,0,0,0,1,1,0,1,0,1,0,0]     => 21
[1,1,1,0,0,0,1,1,0,1,1,0,0,0]     => 22
[1,1,1,0,0,0,1,1,1,0,0,0,1,0]     => 19
[1,1,1,0,0,0,1,1,1,0,0,1,0,0]     => 22
[1,1,1,0,0,0,1,1,1,0,1,0,0,0]     => 27
[1,1,1,0,0,0,1,1,1,1,0,0,0,0]     => 25
[1,1,1,0,0,1,0,0,1,0,1,0,1,0]     => 16
[1,1,1,0,0,1,0,0,1,0,1,1,0,0]     => 18
[1,1,1,0,0,1,0,0,1,1,0,0,1,0]     => 18
[1,1,1,0,0,1,0,0,1,1,0,1,0,0]     => 21
[1,1,1,0,0,1,0,0,1,1,1,0,0,0]     => 22
[1,1,1,0,0,1,0,1,0,0,1,0,1,0]     => 19
[1,1,1,0,0,1,0,1,0,0,1,1,0,0]     => 21
[1,1,1,0,0,1,0,1,0,1,0,0,1,0]     => 22
[1,1,1,0,0,1,0,1,0,1,0,1,0,0]     => 25
[1,1,1,0,0,1,0,1,0,1,1,0,0,0]     => 26
[1,1,1,0,0,1,0,1,1,0,0,0,1,0]     => 23
[1,1,1,0,0,1,0,1,1,0,0,1,0,0]     => 26
[1,1,1,0,0,1,0,1,1,0,1,0,0,0]     => 31
[1,1,1,0,0,1,0,1,1,1,0,0,0,0]     => 29
[1,1,1,0,0,1,1,0,0,0,1,0,1,0]     => 20
[1,1,1,0,0,1,1,0,0,0,1,1,0,0]     => 22
[1,1,1,0,0,1,1,0,0,1,0,0,1,0]     => 23
[1,1,1,0,0,1,1,0,0,1,0,1,0,0]     => 26
[1,1,1,0,0,1,1,0,0,1,1,0,0,0]     => 27
[1,1,1,0,0,1,1,0,1,0,0,0,1,0]     => 28
[1,1,1,0,0,1,1,0,1,0,0,1,0,0]     => 31
[1,1,1,0,0,1,1,0,1,0,1,0,0,0]     => 36
[1,1,1,0,0,1,1,0,1,1,0,0,0,0]     => 34
[1,1,1,0,0,1,1,1,0,0,0,0,1,0]     => 26
[1,1,1,0,0,1,1,1,0,0,0,1,0,0]     => 29
[1,1,1,0,0,1,1,1,0,0,1,0,0,0]     => 34
[1,1,1,0,0,1,1,1,0,1,0,0,0,0]     => 41
[1,1,1,0,0,1,1,1,1,0,0,0,0,0]     => 34
[1,1,1,0,1,0,0,0,1,0,1,0,1,0]     => 21
[1,1,1,0,1,0,0,0,1,0,1,1,0,0]     => 23
[1,1,1,0,1,0,0,0,1,1,0,0,1,0]     => 23
[1,1,1,0,1,0,0,0,1,1,0,1,0,0]     => 26
[1,1,1,0,1,0,0,0,1,1,1,0,0,0]     => 27
[1,1,1,0,1,0,0,1,0,0,1,0,1,0]     => 24
[1,1,1,0,1,0,0,1,0,0,1,1,0,0]     => 26
[1,1,1,0,1,0,0,1,0,1,0,0,1,0]     => 27
[1,1,1,0,1,0,0,1,0,1,0,1,0,0]     => 30
[1,1,1,0,1,0,0,1,0,1,1,0,0,0]     => 31
[1,1,1,0,1,0,0,1,1,0,0,0,1,0]     => 28
[1,1,1,0,1,0,0,1,1,0,0,1,0,0]     => 31
[1,1,1,0,1,0,0,1,1,0,1,0,0,0]     => 36
[1,1,1,0,1,0,0,1,1,1,0,0,0,0]     => 34
[1,1,1,0,1,0,1,0,0,0,1,0,1,0]     => 29
[1,1,1,0,1,0,1,0,0,0,1,1,0,0]     => 31
[1,1,1,0,1,0,1,0,0,1,0,0,1,0]     => 32
[1,1,1,0,1,0,1,0,0,1,0,1,0,0]     => 35
[1,1,1,0,1,0,1,0,0,1,1,0,0,0]     => 36
[1,1,1,0,1,0,1,0,1,0,0,0,1,0]     => 37
[1,1,1,0,1,0,1,0,1,0,0,1,0,0]     => 40
[1,1,1,0,1,0,1,0,1,0,1,0,0,0]     => 45
[1,1,1,0,1,0,1,0,1,1,0,0,0,0]     => 43
[1,1,1,0,1,0,1,1,0,0,0,0,1,0]     => 35
[1,1,1,0,1,0,1,1,0,0,0,1,0,0]     => 38
[1,1,1,0,1,0,1,1,0,0,1,0,0,0]     => 43
[1,1,1,0,1,0,1,1,0,1,0,0,0,0]     => 50
[1,1,1,0,1,0,1,1,1,0,0,0,0,0]     => 43
[1,1,1,0,1,1,0,0,0,0,1,0,1,0]     => 27
[1,1,1,0,1,1,0,0,0,0,1,1,0,0]     => 29
[1,1,1,0,1,1,0,0,0,1,0,0,1,0]     => 30
[1,1,1,0,1,1,0,0,0,1,0,1,0,0]     => 33
[1,1,1,0,1,1,0,0,0,1,1,0,0,0]     => 34
[1,1,1,0,1,1,0,0,1,0,0,0,1,0]     => 35
[1,1,1,0,1,1,0,0,1,0,0,1,0,0]     => 38
[1,1,1,0,1,1,0,0,1,0,1,0,0,0]     => 43
[1,1,1,0,1,1,0,0,1,1,0,0,0,0]     => 41
[1,1,1,0,1,1,0,1,0,0,0,0,1,0]     => 42
[1,1,1,0,1,1,0,1,0,0,0,1,0,0]     => 45
[1,1,1,0,1,1,0,1,0,0,1,0,0,0]     => 50
[1,1,1,0,1,1,0,1,0,1,0,0,0,0]     => 57
[1,1,1,0,1,1,0,1,1,0,0,0,0,0]     => 50
[1,1,1,0,1,1,1,0,0,0,0,0,1,0]     => 35
[1,1,1,0,1,1,1,0,0,0,0,1,0,0]     => 38
[1,1,1,0,1,1,1,0,0,0,1,0,0,0]     => 43
[1,1,1,0,1,1,1,0,0,1,0,0,0,0]     => 50
[1,1,1,0,1,1,1,0,1,0,0,0,0,0]     => 59
[1,1,1,0,1,1,1,1,0,0,0,0,0,0]     => 45
[1,1,1,1,0,0,0,0,1,0,1,0,1,0]     => 19
[1,1,1,1,0,0,0,0,1,0,1,1,0,0]     => 21
[1,1,1,1,0,0,0,0,1,1,0,0,1,0]     => 21
[1,1,1,1,0,0,0,0,1,1,0,1,0,0]     => 24
[1,1,1,1,0,0,0,0,1,1,1,0,0,0]     => 25
[1,1,1,1,0,0,0,1,0,0,1,0,1,0]     => 22
[1,1,1,1,0,0,0,1,0,0,1,1,0,0]     => 24
[1,1,1,1,0,0,0,1,0,1,0,0,1,0]     => 25
[1,1,1,1,0,0,0,1,0,1,0,1,0,0]     => 28
[1,1,1,1,0,0,0,1,0,1,1,0,0,0]     => 29
[1,1,1,1,0,0,0,1,1,0,0,0,1,0]     => 26
[1,1,1,1,0,0,0,1,1,0,0,1,0,0]     => 29
[1,1,1,1,0,0,0,1,1,0,1,0,0,0]     => 34
[1,1,1,1,0,0,0,1,1,1,0,0,0,0]     => 32
[1,1,1,1,0,0,1,0,0,0,1,0,1,0]     => 27
[1,1,1,1,0,0,1,0,0,0,1,1,0,0]     => 29
[1,1,1,1,0,0,1,0,0,1,0,0,1,0]     => 30
[1,1,1,1,0,0,1,0,0,1,0,1,0,0]     => 33
[1,1,1,1,0,0,1,0,0,1,1,0,0,0]     => 34
[1,1,1,1,0,0,1,0,1,0,0,0,1,0]     => 35
[1,1,1,1,0,0,1,0,1,0,0,1,0,0]     => 38
[1,1,1,1,0,0,1,0,1,0,1,0,0,0]     => 43
[1,1,1,1,0,0,1,0,1,1,0,0,0,0]     => 41
[1,1,1,1,0,0,1,1,0,0,0,0,1,0]     => 33
[1,1,1,1,0,0,1,1,0,0,0,1,0,0]     => 36
[1,1,1,1,0,0,1,1,0,0,1,0,0,0]     => 41
[1,1,1,1,0,0,1,1,0,1,0,0,0,0]     => 48
[1,1,1,1,0,0,1,1,1,0,0,0,0,0]     => 41
[1,1,1,1,0,1,0,0,0,0,1,0,1,0]     => 34
[1,1,1,1,0,1,0,0,0,0,1,1,0,0]     => 36
[1,1,1,1,0,1,0,0,0,1,0,0,1,0]     => 37
[1,1,1,1,0,1,0,0,0,1,0,1,0,0]     => 40
[1,1,1,1,0,1,0,0,0,1,1,0,0,0]     => 41
[1,1,1,1,0,1,0,0,1,0,0,0,1,0]     => 42
[1,1,1,1,0,1,0,0,1,0,0,1,0,0]     => 45
[1,1,1,1,0,1,0,0,1,0,1,0,0,0]     => 50
[1,1,1,1,0,1,0,0,1,1,0,0,0,0]     => 48
[1,1,1,1,0,1,0,1,0,0,0,0,1,0]     => 49
[1,1,1,1,0,1,0,1,0,0,0,1,0,0]     => 52
[1,1,1,1,0,1,0,1,0,0,1,0,0,0]     => 57
[1,1,1,1,0,1,0,1,0,1,0,0,0,0]     => 64
[1,1,1,1,0,1,0,1,1,0,0,0,0,0]     => 57
[1,1,1,1,0,1,1,0,0,0,0,0,1,0]     => 42
[1,1,1,1,0,1,1,0,0,0,0,1,0,0]     => 45
[1,1,1,1,0,1,1,0,0,0,1,0,0,0]     => 50
[1,1,1,1,0,1,1,0,0,1,0,0,0,0]     => 57
[1,1,1,1,0,1,1,0,1,0,0,0,0,0]     => 66
[1,1,1,1,0,1,1,1,0,0,0,0,0,0]     => 52
[1,1,1,1,1,0,0,0,0,0,1,0,1,0]     => 27
[1,1,1,1,1,0,0,0,0,0,1,1,0,0]     => 29
[1,1,1,1,1,0,0,0,0,1,0,0,1,0]     => 30
[1,1,1,1,1,0,0,0,0,1,0,1,0,0]     => 33
[1,1,1,1,1,0,0,0,0,1,1,0,0,0]     => 34
[1,1,1,1,1,0,0,0,1,0,0,0,1,0]     => 35
[1,1,1,1,1,0,0,0,1,0,0,1,0,0]     => 38
[1,1,1,1,1,0,0,0,1,0,1,0,0,0]     => 43
[1,1,1,1,1,0,0,0,1,1,0,0,0,0]     => 41
[1,1,1,1,1,0,0,1,0,0,0,0,1,0]     => 42
[1,1,1,1,1,0,0,1,0,0,0,1,0,0]     => 45
[1,1,1,1,1,0,0,1,0,0,1,0,0,0]     => 50
[1,1,1,1,1,0,0,1,0,1,0,0,0,0]     => 57
[1,1,1,1,1,0,0,1,1,0,0,0,0,0]     => 50
[1,1,1,1,1,0,1,0,0,0,0,0,1,0]     => 51
[1,1,1,1,1,0,1,0,0,0,0,1,0,0]     => 54
[1,1,1,1,1,0,1,0,0,0,1,0,0,0]     => 59
[1,1,1,1,1,0,1,0,0,1,0,0,0,0]     => 66
[1,1,1,1,1,0,1,0,1,0,0,0,0,0]     => 75
[1,1,1,1,1,0,1,1,0,0,0,0,0,0]     => 61
[1,1,1,1,1,1,0,0,0,0,0,0,1,0]     => 37
[1,1,1,1,1,1,0,0,0,0,0,1,0,0]     => 40
[1,1,1,1,1,1,0,0,0,0,1,0,0,0]     => 45
[1,1,1,1,1,1,0,0,0,1,0,0,0,0]     => 52
[1,1,1,1,1,1,0,0,1,0,0,0,0,0]     => 61
[1,1,1,1,1,1,0,1,0,0,0,0,0,0]     => 72
[1,1,1,1,1,1,1,0,0,0,0,0,0,0]     => 49
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 10
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 10
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 13
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 14
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 10
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 12
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 13
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 16
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 17
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 14
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 17
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 22
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 20
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 10
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 12
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 15
[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 16
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 13
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 15
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 16
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 19
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 20
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 17
[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 20
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 25
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 23
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 16
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 17
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 20
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 21
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 22
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 25
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 30
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 28
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 20
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 23
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 28
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 35
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 28
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 10
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 12
[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 12
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 15
[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 16
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 12
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 14
[1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 15
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 18
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 19
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 16
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 19
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 24
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 22
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 13
[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 15
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 15
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 18
[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 19
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 16
[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 18
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 19
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 22
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 23
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 20
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 23
[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 28
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 26
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 17
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 19
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 20
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 23
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 24
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 25
[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 28
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 33
[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 31
[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 23
[1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 26
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 31
[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 38
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 31
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 14
[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 16
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 16
[1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 19
[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 20
[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 17
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 19
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 20
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 23
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 24
[1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 21
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 24
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 29
[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 27
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 22
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 24
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 25
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 28
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 29
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 30
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 33
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 38
[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 36
[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 28
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 31
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 36
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 43
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 36
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 20
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 22
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 23
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 26
[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 27
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 28
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 31
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 36
[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 34
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 35
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 38
[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 43
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 50
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 43
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 28
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 31
[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 36
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 43
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 52
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 38
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 10
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 12
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 12
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 15
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 16
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 12
[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 15
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 18
[1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 19
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 16
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 19
[1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 24
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 22
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 12
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 14
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 14
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 17
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 18
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 15
[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 17
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 18
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 21
[1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 22
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 19
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 22
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 27
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 25
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 16
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 18
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 19
[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 22
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 23
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 24
[1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 27
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 32
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 30
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 22
[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 25
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 30
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 37
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 30
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 13
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 15
[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 15
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 18
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 19
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 15
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 17
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 18
[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 21
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 22
[1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 19
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 22
[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 27
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 25
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 16
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 18
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 18
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 21
[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 22
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 19
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 21
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 22
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 25
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 26
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 23
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 26
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 31
[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 29
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 20
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 22
[1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 23
[1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 26
[1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 27
[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 28
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 31
[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 36
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 34
[1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 26
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 29
[1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 34
[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 41
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 34
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 17
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 19
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 19
[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 22
[1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 23
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 20
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 22
[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 23
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 26
[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 27
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 24
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 27
[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 32
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 30
[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 25
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 27
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 28
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 31
[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 32
[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 33
[1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 36
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 41
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 39
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 31
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 34
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 39
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 46
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 39
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 23
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 25
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 26
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 29
[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 30
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 31
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 34
[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 39
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 37
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 38
[1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 41
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 46
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 53
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 46
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 31
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 34
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 39
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 46
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 55
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 41
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 14
[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 16
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 19
[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 20
[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 16
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 18
[1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 19
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 22
[1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 23
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 20
[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 23
[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 28
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 26
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 17
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 19
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 19
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 22
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 23
[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 20
[1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 22
[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 23
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 26
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 27
[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 24
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 27
[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 32
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 30
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 21
[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 23
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 24
[1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 27
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 28
[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 29
[1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 32
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 37
[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 35
[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 27
[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 30
[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 35
[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 42
[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 35
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 22
[1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 24
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 24
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 27
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 28
[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 25
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 27
[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 28
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 31
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 32
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 29
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 32
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 37
[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 35
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 30
[1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 32
[1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 33
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 36
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 37
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 38
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 41
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 46
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 44
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 36
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 39
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 44
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 51
[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 44
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 28
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 30
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 31
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 34
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 35
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 36
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 39
[1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 44
[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 42
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 43
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 46
[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 51
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 58
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 51
[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 36
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 39
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 44
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 51
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 60
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 46
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 20
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 22
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 22
[1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 25
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 26
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 23
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 25
[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 26
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 29
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 30
[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 27
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 30
[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 35
[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 33
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 28
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 30
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 31
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 34
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 35
[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 36
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 39
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 44
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 42
[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 34
[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 37
[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 42
[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 49
[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 42
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 35
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 37
[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 38
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 41
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 42
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 43
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 46
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 51
[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 49
[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 50
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 53
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 58
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 65
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 58
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 43
[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 46
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 51
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 58
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 67
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 53
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 28
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 30
[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 31
[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 34
[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 35
[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 36
[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 39
[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 44
[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 42
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 43
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 46
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 51
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 58
[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 51
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 52
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 55
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 60
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 67
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 76
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 62
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 38
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 41
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 46
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 53
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 62
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 73
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 50
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 10
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 12
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 12
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 15
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 16
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 12
[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 14
[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => 15
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => 18
[1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => 19
[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => 19
[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => 24
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 22
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 12
[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 14
[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 14
[1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => 17
[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 18
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => 15
[1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => 17
[1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => 18
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => 21
[1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => 22
[1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => 19
[1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => 22
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => 27
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => 25
[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 16
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 18
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => 19
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => 22
[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => 23
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => 24
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => 27
[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => 32
[1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => 30
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 22
[1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => 25
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => 30
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => 37
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 30
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 12
[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 14
[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => 17
[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 18
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 14
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 16
[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 17
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => 20
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => 21
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 18
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 21
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => 26
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 24
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 15
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 17
[1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 17
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 20
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 21
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 18
[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 20
[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => 21
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => 24
[1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => 25
[1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => 22
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => 25
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => 30
[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => 28
[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 19
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 21
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 22
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => 25
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => 26
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => 27
[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => 30
[1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => 35
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => 33
[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => 25
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => 28
[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => 33
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => 40
[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => 33
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 16
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 18
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 18
[1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 21
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 22
[1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 19
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 21
[1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 22
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => 25
[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => 26
[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 23
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 26
[1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => 31
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => 29
[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 24
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 26
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 27
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => 30
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => 31
[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => 32
[1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => 35
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => 40
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => 38
[1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => 30
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => 33
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => 38
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => 45
[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => 38
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 22
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 24
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 25
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => 28
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => 29
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 30
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 33
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => 38
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => 36
[1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => 37
[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => 40
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => 45
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => 52
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => 45
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 30
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => 33
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => 38
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => 45
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => 54
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 40
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 13
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => 15
[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => 18
[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => 19
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 15
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 17
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 18
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => 21
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => 22
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 19
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 22
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => 27
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => 25

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Created: Feb 25, 2021 at 12:40 by Martin Rubey

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Last Updated: Feb 25, 2021 at 12:40 by Martin Rubey