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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: St000419

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

-----------------------------------------------------------------------------
Description: The number of Dyck paths that are weakly above the Dyck path, except for the path itself.

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

-----------------------------------------------------------------------------
Code:
def contains(A,B):
     Aa = A.to_area_sequence()
     Bb = B.to_area_sequence()
     return all( Aa[i] >= Bb[i] for i in range(len(Aa)) )

def statistic(D):
    n = len(D)/2
    return sum( 1 for A in DyckWords(n) if contains(A,D) ) - 1

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

[1,0,1,0]                         => 1
[1,1,0,0]                         => 0
[1,0,1,0,1,0]                     => 4
[1,0,1,1,0,0]                     => 2
[1,1,0,0,1,0]                     => 2
[1,1,0,1,0,0]                     => 1
[1,1,1,0,0,0]                     => 0
[1,0,1,0,1,0,1,0]                 => 13
[1,0,1,0,1,1,0,0]                 => 8
[1,0,1,1,0,0,1,0]                 => 9
[1,0,1,1,0,1,0,0]                 => 6
[1,0,1,1,1,0,0,0]                 => 3
[1,1,0,0,1,0,1,0]                 => 8
[1,1,0,0,1,1,0,0]                 => 5
[1,1,0,1,0,0,1,0]                 => 6
[1,1,0,1,0,1,0,0]                 => 4
[1,1,0,1,1,0,0,0]                 => 2
[1,1,1,0,0,0,1,0]                 => 3
[1,1,1,0,0,1,0,0]                 => 2
[1,1,1,0,1,0,0,0]                 => 1
[1,1,1,1,0,0,0,0]                 => 0
[1,0,1,0,1,0,1,0,1,0]             => 41
[1,0,1,0,1,0,1,1,0,0]             => 27
[1,0,1,0,1,1,0,0,1,0]             => 31
[1,0,1,0,1,1,0,1,0,0]             => 22
[1,0,1,0,1,1,1,0,0,0]             => 13
[1,0,1,1,0,0,1,0,1,0]             => 31
[1,0,1,1,0,0,1,1,0,0]             => 21
[1,0,1,1,0,1,0,0,1,0]             => 25
[1,0,1,1,0,1,0,1,0,0]             => 18
[1,0,1,1,0,1,1,0,0,0]             => 11
[1,0,1,1,1,0,0,0,1,0]             => 16
[1,0,1,1,1,0,0,1,0,0]             => 12
[1,0,1,1,1,0,1,0,0,0]             => 8
[1,0,1,1,1,1,0,0,0,0]             => 4
[1,1,0,0,1,0,1,0,1,0]             => 27
[1,1,0,0,1,0,1,1,0,0]             => 18
[1,1,0,0,1,1,0,0,1,0]             => 21
[1,1,0,0,1,1,0,1,0,0]             => 15
[1,1,0,0,1,1,1,0,0,0]             => 9
[1,1,0,1,0,0,1,0,1,0]             => 22
[1,1,0,1,0,0,1,1,0,0]             => 15
[1,1,0,1,0,1,0,0,1,0]             => 18
[1,1,0,1,0,1,0,1,0,0]             => 13
[1,1,0,1,0,1,1,0,0,0]             => 8
[1,1,0,1,1,0,0,0,1,0]             => 12
[1,1,0,1,1,0,0,1,0,0]             => 9
[1,1,0,1,1,0,1,0,0,0]             => 6
[1,1,0,1,1,1,0,0,0,0]             => 3
[1,1,1,0,0,0,1,0,1,0]             => 13
[1,1,1,0,0,0,1,1,0,0]             => 9
[1,1,1,0,0,1,0,0,1,0]             => 11
[1,1,1,0,0,1,0,1,0,0]             => 8
[1,1,1,0,0,1,1,0,0,0]             => 5
[1,1,1,0,1,0,0,0,1,0]             => 8
[1,1,1,0,1,0,0,1,0,0]             => 6
[1,1,1,0,1,0,1,0,0,0]             => 4
[1,1,1,0,1,1,0,0,0,0]             => 2
[1,1,1,1,0,0,0,0,1,0]             => 4
[1,1,1,1,0,0,0,1,0,0]             => 3
[1,1,1,1,0,0,1,0,0,0]             => 2
[1,1,1,1,0,1,0,0,0,0]             => 1
[1,1,1,1,1,0,0,0,0,0]             => 0
[1,0,1,0,1,0,1,0,1,0,1,0]         => 131
[1,0,1,0,1,0,1,0,1,1,0,0]         => 89
[1,0,1,0,1,0,1,1,0,0,1,0]         => 103
[1,0,1,0,1,0,1,1,0,1,0,0]         => 75
[1,0,1,0,1,0,1,1,1,0,0,0]         => 47
[1,0,1,0,1,1,0,0,1,0,1,0]         => 106
[1,0,1,0,1,1,0,0,1,1,0,0]         => 74
[1,0,1,0,1,1,0,1,0,0,1,0]         => 88
[1,0,1,0,1,1,0,1,0,1,0,0]         => 65
[1,0,1,0,1,1,0,1,1,0,0,0]         => 42
[1,0,1,0,1,1,1,0,0,0,1,0]         => 61
[1,0,1,0,1,1,1,0,0,1,0,0]         => 47
[1,0,1,0,1,1,1,0,1,0,0,0]         => 33
[1,0,1,0,1,1,1,1,0,0,0,0]         => 19
[1,0,1,1,0,0,1,0,1,0,1,0]         => 103
[1,0,1,1,0,0,1,0,1,1,0,0]         => 71
[1,0,1,1,0,0,1,1,0,0,1,0]         => 83
[1,0,1,1,0,0,1,1,0,1,0,0]         => 61
[1,0,1,1,0,0,1,1,1,0,0,0]         => 39
[1,0,1,1,0,1,0,0,1,0,1,0]         => 88
[1,0,1,1,0,1,0,0,1,1,0,0]         => 62
[1,0,1,1,0,1,0,1,0,0,1,0]         => 74
[1,0,1,1,0,1,0,1,0,1,0,0]         => 55
[1,0,1,1,0,1,0,1,1,0,0,0]         => 36
[1,0,1,1,0,1,1,0,0,0,1,0]         => 53
[1,0,1,1,0,1,1,0,0,1,0,0]         => 41
[1,0,1,1,0,1,1,0,1,0,0,0]         => 29
[1,0,1,1,0,1,1,1,0,0,0,0]         => 17
[1,0,1,1,1,0,0,0,1,0,1,0]         => 61
[1,0,1,1,1,0,0,0,1,1,0,0]         => 44
[1,0,1,1,1,0,0,1,0,0,1,0]         => 53
[1,0,1,1,1,0,0,1,0,1,0,0]         => 40
[1,0,1,1,1,0,0,1,1,0,0,0]         => 27
[1,0,1,1,1,0,1,0,0,0,1,0]         => 41
[1,0,1,1,1,0,1,0,0,1,0,0]         => 32
[1,0,1,1,1,0,1,0,1,0,0,0]         => 23
[1,0,1,1,1,0,1,1,0,0,0,0]         => 14
[1,0,1,1,1,1,0,0,0,0,1,0]         => 25
[1,0,1,1,1,1,0,0,0,1,0,0]         => 20
[1,0,1,1,1,1,0,0,1,0,0,0]         => 15
[1,0,1,1,1,1,0,1,0,0,0,0]         => 10
[1,0,1,1,1,1,1,0,0,0,0,0]         => 5
[1,1,0,0,1,0,1,0,1,0,1,0]         => 89
[1,1,0,0,1,0,1,0,1,1,0,0]         => 61
[1,1,0,0,1,0,1,1,0,0,1,0]         => 71
[1,1,0,0,1,0,1,1,0,1,0,0]         => 52
[1,1,0,0,1,0,1,1,1,0,0,0]         => 33
[1,1,0,0,1,1,0,0,1,0,1,0]         => 74
[1,1,0,0,1,1,0,0,1,1,0,0]         => 52
[1,1,0,0,1,1,0,1,0,0,1,0]         => 62
[1,1,0,0,1,1,0,1,0,1,0,0]         => 46
[1,1,0,0,1,1,0,1,1,0,0,0]         => 30
[1,1,0,0,1,1,1,0,0,0,1,0]         => 44
[1,1,0,0,1,1,1,0,0,1,0,0]         => 34
[1,1,0,0,1,1,1,0,1,0,0,0]         => 24
[1,1,0,0,1,1,1,1,0,0,0,0]         => 14
[1,1,0,1,0,0,1,0,1,0,1,0]         => 75
[1,1,0,1,0,0,1,0,1,1,0,0]         => 52
[1,1,0,1,0,0,1,1,0,0,1,0]         => 61
[1,1,0,1,0,0,1,1,0,1,0,0]         => 45
[1,1,0,1,0,0,1,1,1,0,0,0]         => 29
[1,1,0,1,0,1,0,0,1,0,1,0]         => 65
[1,1,0,1,0,1,0,0,1,1,0,0]         => 46
[1,1,0,1,0,1,0,1,0,0,1,0]         => 55
[1,1,0,1,0,1,0,1,0,1,0,0]         => 41
[1,1,0,1,0,1,0,1,1,0,0,0]         => 27
[1,1,0,1,0,1,1,0,0,0,1,0]         => 40
[1,1,0,1,0,1,1,0,0,1,0,0]         => 31
[1,1,0,1,0,1,1,0,1,0,0,0]         => 22
[1,1,0,1,0,1,1,1,0,0,0,0]         => 13
[1,1,0,1,1,0,0,0,1,0,1,0]         => 47
[1,1,0,1,1,0,0,0,1,1,0,0]         => 34
[1,1,0,1,1,0,0,1,0,0,1,0]         => 41
[1,1,0,1,1,0,0,1,0,1,0,0]         => 31
[1,1,0,1,1,0,0,1,1,0,0,0]         => 21
[1,1,0,1,1,0,1,0,0,0,1,0]         => 32
[1,1,0,1,1,0,1,0,0,1,0,0]         => 25
[1,1,0,1,1,0,1,0,1,0,0,0]         => 18
[1,1,0,1,1,0,1,1,0,0,0,0]         => 11
[1,1,0,1,1,1,0,0,0,0,1,0]         => 20
[1,1,0,1,1,1,0,0,0,1,0,0]         => 16
[1,1,0,1,1,1,0,0,1,0,0,0]         => 12
[1,1,0,1,1,1,0,1,0,0,0,0]         => 8
[1,1,0,1,1,1,1,0,0,0,0,0]         => 4
[1,1,1,0,0,0,1,0,1,0,1,0]         => 47
[1,1,1,0,0,0,1,0,1,1,0,0]         => 33
[1,1,1,0,0,0,1,1,0,0,1,0]         => 39
[1,1,1,0,0,0,1,1,0,1,0,0]         => 29
[1,1,1,0,0,0,1,1,1,0,0,0]         => 19
[1,1,1,0,0,1,0,0,1,0,1,0]         => 42
[1,1,1,0,0,1,0,0,1,1,0,0]         => 30
[1,1,1,0,0,1,0,1,0,0,1,0]         => 36
[1,1,1,0,0,1,0,1,0,1,0,0]         => 27
[1,1,1,0,0,1,0,1,1,0,0,0]         => 18
[1,1,1,0,0,1,1,0,0,0,1,0]         => 27
[1,1,1,0,0,1,1,0,0,1,0,0]         => 21
[1,1,1,0,0,1,1,0,1,0,0,0]         => 15
[1,1,1,0,0,1,1,1,0,0,0,0]         => 9
[1,1,1,0,1,0,0,0,1,0,1,0]         => 33
[1,1,1,0,1,0,0,0,1,1,0,0]         => 24
[1,1,1,0,1,0,0,1,0,0,1,0]         => 29
[1,1,1,0,1,0,0,1,0,1,0,0]         => 22
[1,1,1,0,1,0,0,1,1,0,0,0]         => 15
[1,1,1,0,1,0,1,0,0,0,1,0]         => 23
[1,1,1,0,1,0,1,0,0,1,0,0]         => 18
[1,1,1,0,1,0,1,0,1,0,0,0]         => 13
[1,1,1,0,1,0,1,1,0,0,0,0]         => 8
[1,1,1,0,1,1,0,0,0,0,1,0]         => 15
[1,1,1,0,1,1,0,0,0,1,0,0]         => 12
[1,1,1,0,1,1,0,0,1,0,0,0]         => 9
[1,1,1,0,1,1,0,1,0,0,0,0]         => 6
[1,1,1,0,1,1,1,0,0,0,0,0]         => 3
[1,1,1,1,0,0,0,0,1,0,1,0]         => 19
[1,1,1,1,0,0,0,0,1,1,0,0]         => 14
[1,1,1,1,0,0,0,1,0,0,1,0]         => 17
[1,1,1,1,0,0,0,1,0,1,0,0]         => 13
[1,1,1,1,0,0,0,1,1,0,0,0]         => 9
[1,1,1,1,0,0,1,0,0,0,1,0]         => 14
[1,1,1,1,0,0,1,0,0,1,0,0]         => 11
[1,1,1,1,0,0,1,0,1,0,0,0]         => 8
[1,1,1,1,0,0,1,1,0,0,0,0]         => 5
[1,1,1,1,0,1,0,0,0,0,1,0]         => 10
[1,1,1,1,0,1,0,0,0,1,0,0]         => 8
[1,1,1,1,0,1,0,0,1,0,0,0]         => 6
[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]         => 2
[1,1,1,1,1,0,0,0,0,0,1,0]         => 5
[1,1,1,1,1,0,0,0,0,1,0,0]         => 4
[1,1,1,1,1,0,0,0,1,0,0,0]         => 3
[1,1,1,1,1,0,0,1,0,0,0,0]         => 2
[1,1,1,1,1,0,1,0,0,0,0,0]         => 1
[1,1,1,1,1,1,0,0,0,0,0,0]         => 0
[1,0,1,0,1,0,1,0,1,0,1,0,1,0]     => 428
[1,0,1,0,1,0,1,0,1,0,1,1,0,0]     => 296
[1,0,1,0,1,0,1,0,1,1,0,0,1,0]     => 344
[1,0,1,0,1,0,1,0,1,1,0,1,0,0]     => 254
[1,0,1,0,1,0,1,0,1,1,1,0,0,0]     => 164
[1,0,1,0,1,0,1,1,0,0,1,0,1,0]     => 358
[1,0,1,0,1,0,1,1,0,0,1,1,0,0]     => 254
[1,0,1,0,1,0,1,1,0,1,0,0,1,0]     => 302
[1,0,1,0,1,0,1,1,0,1,0,1,0,0]     => 226
[1,0,1,0,1,0,1,1,0,1,1,0,0,0]     => 150
[1,0,1,0,1,0,1,1,1,0,0,0,1,0]     => 218
[1,0,1,0,1,0,1,1,1,0,0,1,0,0]     => 170
[1,0,1,0,1,0,1,1,1,0,1,0,0,0]     => 122
[1,0,1,0,1,0,1,1,1,1,0,0,0,0]     => 74
[1,0,1,0,1,1,0,0,1,0,1,0,1,0]     => 358
[1,0,1,0,1,1,0,0,1,0,1,1,0,0]     => 251
[1,0,1,0,1,1,0,0,1,1,0,0,1,0]     => 294
[1,0,1,0,1,1,0,0,1,1,0,1,0,0]     => 219
[1,0,1,0,1,1,0,0,1,1,1,0,0,0]     => 144
[1,0,1,0,1,1,0,1,0,0,1,0,1,0]     => 313
[1,0,1,0,1,1,0,1,0,0,1,1,0,0]     => 224
[1,0,1,0,1,1,0,1,0,1,0,0,1,0]     => 267
[1,0,1,0,1,1,0,1,0,1,0,1,0,0]     => 201
[1,0,1,0,1,1,0,1,0,1,1,0,0,0]     => 135
[1,0,1,0,1,1,0,1,1,0,0,0,1,0]     => 198
[1,0,1,0,1,1,0,1,1,0,0,1,0,0]     => 155
[1,0,1,0,1,1,0,1,1,0,1,0,0,0]     => 112
[1,0,1,0,1,1,0,1,1,1,0,0,0,0]     => 69
[1,0,1,0,1,1,1,0,0,0,1,0,1,0]     => 232
[1,0,1,0,1,1,1,0,0,0,1,1,0,0]     => 170
[1,0,1,0,1,1,1,0,0,1,0,0,1,0]     => 204
[1,0,1,0,1,1,1,0,0,1,0,1,0,0]     => 156
[1,0,1,0,1,1,1,0,0,1,1,0,0,0]     => 108
[1,0,1,0,1,1,1,0,1,0,0,0,1,0]     => 162
[1,0,1,0,1,1,1,0,1,0,0,1,0,0]     => 128
[1,0,1,0,1,1,1,0,1,0,1,0,0,0]     => 94
[1,0,1,0,1,1,1,0,1,1,0,0,0,0]     => 60
[1,0,1,0,1,1,1,1,0,0,0,0,1,0]     => 106
[1,0,1,0,1,1,1,1,0,0,0,1,0,0]     => 86
[1,0,1,0,1,1,1,1,0,0,1,0,0,0]     => 66
[1,0,1,0,1,1,1,1,0,1,0,0,0,0]     => 46
[1,0,1,0,1,1,1,1,1,0,0,0,0,0]     => 26
[1,0,1,1,0,0,1,0,1,0,1,0,1,0]     => 344
[1,0,1,1,0,0,1,0,1,0,1,1,0,0]     => 240
[1,0,1,1,0,0,1,0,1,1,0,0,1,0]     => 280
[1,0,1,1,0,0,1,0,1,1,0,1,0,0]     => 208
[1,0,1,1,0,0,1,0,1,1,1,0,0,0]     => 136
[1,0,1,1,0,0,1,1,0,0,1,0,1,0]     => 294
[1,0,1,1,0,0,1,1,0,0,1,1,0,0]     => 210
[1,0,1,1,0,0,1,1,0,1,0,0,1,0]     => 250
[1,0,1,1,0,0,1,1,0,1,0,1,0,0]     => 188
[1,0,1,1,0,0,1,1,0,1,1,0,0,0]     => 126
[1,0,1,1,0,0,1,1,1,0,0,0,1,0]     => 184
[1,0,1,1,0,0,1,1,1,0,0,1,0,0]     => 144
[1,0,1,1,0,0,1,1,1,0,1,0,0,0]     => 104
[1,0,1,1,0,0,1,1,1,1,0,0,0,0]     => 64
[1,0,1,1,0,1,0,0,1,0,1,0,1,0]     => 302
[1,0,1,1,0,1,0,0,1,0,1,1,0,0]     => 213
[1,0,1,1,0,1,0,0,1,1,0,0,1,0]     => 250
[1,0,1,1,0,1,0,0,1,1,0,1,0,0]     => 187
[1,0,1,1,0,1,0,0,1,1,1,0,0,0]     => 124
[1,0,1,1,0,1,0,1,0,0,1,0,1,0]     => 267
[1,0,1,1,0,1,0,1,0,0,1,1,0,0]     => 192
[1,0,1,1,0,1,0,1,0,1,0,0,1,0]     => 229
[1,0,1,1,0,1,0,1,0,1,0,1,0,0]     => 173
[1,0,1,1,0,1,0,1,0,1,1,0,0,0]     => 117
[1,0,1,1,0,1,0,1,1,0,0,0,1,0]     => 172
[1,0,1,1,0,1,0,1,1,0,0,1,0,0]     => 135
[1,0,1,1,0,1,0,1,1,0,1,0,0,0]     => 98
[1,0,1,1,0,1,0,1,1,1,0,0,0,0]     => 61
[1,0,1,1,0,1,1,0,0,0,1,0,1,0]     => 204
[1,0,1,1,0,1,1,0,0,0,1,1,0,0]     => 150
[1,0,1,1,0,1,1,0,0,1,0,0,1,0]     => 180
[1,0,1,1,0,1,1,0,0,1,0,1,0,0]     => 138
[1,0,1,1,0,1,1,0,0,1,1,0,0,0]     => 96
[1,0,1,1,0,1,1,0,1,0,0,0,1,0]     => 144
[1,0,1,1,0,1,1,0,1,0,0,1,0,0]     => 114
[1,0,1,1,0,1,1,0,1,0,1,0,0,0]     => 84
[1,0,1,1,0,1,1,0,1,1,0,0,0,0]     => 54
[1,0,1,1,0,1,1,1,0,0,0,0,1,0]     => 96
[1,0,1,1,0,1,1,1,0,0,0,1,0,0]     => 78
[1,0,1,1,0,1,1,1,0,0,1,0,0,0]     => 60
[1,0,1,1,0,1,1,1,0,1,0,0,0,0]     => 42
[1,0,1,1,0,1,1,1,1,0,0,0,0,0]     => 24
[1,0,1,1,1,0,0,0,1,0,1,0,1,0]     => 218
[1,0,1,1,1,0,0,0,1,0,1,1,0,0]     => 156
[1,0,1,1,1,0,0,0,1,1,0,0,1,0]     => 184
[1,0,1,1,1,0,0,0,1,1,0,1,0,0]     => 139
[1,0,1,1,1,0,0,0,1,1,1,0,0,0]     => 94
[1,0,1,1,1,0,0,1,0,0,1,0,1,0]     => 198
[1,0,1,1,1,0,0,1,0,0,1,1,0,0]     => 144
[1,0,1,1,1,0,0,1,0,1,0,0,1,0]     => 172
[1,0,1,1,1,0,0,1,0,1,0,1,0,0]     => 131
[1,0,1,1,1,0,0,1,0,1,1,0,0,0]     => 90
[1,0,1,1,1,0,0,1,1,0,0,0,1,0]     => 133
[1,0,1,1,1,0,0,1,1,0,0,1,0,0]     => 105
[1,0,1,1,1,0,0,1,1,0,1,0,0,0]     => 77
[1,0,1,1,1,0,0,1,1,1,0,0,0,0]     => 49
[1,0,1,1,1,0,1,0,0,0,1,0,1,0]     => 162
[1,0,1,1,1,0,1,0,0,0,1,1,0,0]     => 120
[1,0,1,1,1,0,1,0,0,1,0,0,1,0]     => 144
[1,0,1,1,1,0,1,0,0,1,0,1,0,0]     => 111
[1,0,1,1,1,0,1,0,0,1,1,0,0,0]     => 78
[1,0,1,1,1,0,1,0,1,0,0,0,1,0]     => 117
[1,0,1,1,1,0,1,0,1,0,0,1,0,0]     => 93
[1,0,1,1,1,0,1,0,1,0,1,0,0,0]     => 69
[1,0,1,1,1,0,1,0,1,1,0,0,0,0]     => 45
[1,0,1,1,1,0,1,1,0,0,0,0,1,0]     => 81
[1,0,1,1,1,0,1,1,0,0,0,1,0,0]     => 66
[1,0,1,1,1,0,1,1,0,0,1,0,0,0]     => 51
[1,0,1,1,1,0,1,1,0,1,0,0,0,0]     => 36
[1,0,1,1,1,0,1,1,1,0,0,0,0,0]     => 21
[1,0,1,1,1,1,0,0,0,0,1,0,1,0]     => 106
[1,0,1,1,1,1,0,0,0,0,1,1,0,0]     => 80
[1,0,1,1,1,1,0,0,0,1,0,0,1,0]     => 96
[1,0,1,1,1,1,0,0,0,1,0,1,0,0]     => 75
[1,0,1,1,1,1,0,0,0,1,1,0,0,0]     => 54
[1,0,1,1,1,1,0,0,1,0,0,0,1,0]     => 81
[1,0,1,1,1,1,0,0,1,0,0,1,0,0]     => 65
[1,0,1,1,1,1,0,0,1,0,1,0,0,0]     => 49
[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]     => 61
[1,0,1,1,1,1,0,1,0,0,0,1,0,0]     => 50
[1,0,1,1,1,1,0,1,0,0,1,0,0,0]     => 39
[1,0,1,1,1,1,0,1,0,1,0,0,0,0]     => 28
[1,0,1,1,1,1,0,1,1,0,0,0,0,0]     => 17
[1,0,1,1,1,1,1,0,0,0,0,0,1,0]     => 36
[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]     => 24
[1,0,1,1,1,1,1,0,0,1,0,0,0,0]     => 18
[1,0,1,1,1,1,1,0,1,0,0,0,0,0]     => 12
[1,0,1,1,1,1,1,1,0,0,0,0,0,0]     => 6
[1,1,0,0,1,0,1,0,1,0,1,0,1,0]     => 296
[1,1,0,0,1,0,1,0,1,0,1,1,0,0]     => 206
[1,1,0,0,1,0,1,0,1,1,0,0,1,0]     => 240
[1,1,0,0,1,0,1,0,1,1,0,1,0,0]     => 178
[1,1,0,0,1,0,1,0,1,1,1,0,0,0]     => 116
[1,1,0,0,1,0,1,1,0,0,1,0,1,0]     => 251
[1,1,0,0,1,0,1,1,0,0,1,1,0,0]     => 179
[1,1,0,0,1,0,1,1,0,1,0,0,1,0]     => 213
[1,1,0,0,1,0,1,1,0,1,0,1,0,0]     => 160
[1,1,0,0,1,0,1,1,0,1,1,0,0,0]     => 107
[1,1,0,0,1,0,1,1,1,0,0,0,1,0]     => 156
[1,1,0,0,1,0,1,1,1,0,0,1,0,0]     => 122
[1,1,0,0,1,0,1,1,1,0,1,0,0,0]     => 88
[1,1,0,0,1,0,1,1,1,1,0,0,0,0]     => 54
[1,1,0,0,1,1,0,0,1,0,1,0,1,0]     => 254
[1,1,0,0,1,1,0,0,1,0,1,1,0,0]     => 179
[1,1,0,0,1,1,0,0,1,1,0,0,1,0]     => 210
[1,1,0,0,1,1,0,0,1,1,0,1,0,0]     => 157
[1,1,0,0,1,1,0,0,1,1,1,0,0,0]     => 104
[1,1,0,0,1,1,0,1,0,0,1,0,1,0]     => 224
[1,1,0,0,1,1,0,1,0,0,1,1,0,0]     => 161
[1,1,0,0,1,1,0,1,0,1,0,0,1,0]     => 192
[1,1,0,0,1,1,0,1,0,1,0,1,0,0]     => 145
[1,1,0,0,1,1,0,1,0,1,1,0,0,0]     => 98
[1,1,0,0,1,1,0,1,1,0,0,0,1,0]     => 144
[1,1,0,0,1,1,0,1,1,0,0,1,0,0]     => 113
[1,1,0,0,1,1,0,1,1,0,1,0,0,0]     => 82
[1,1,0,0,1,1,0,1,1,1,0,0,0,0]     => 51
[1,1,0,0,1,1,1,0,0,0,1,0,1,0]     => 170
[1,1,0,0,1,1,1,0,0,0,1,1,0,0]     => 125
[1,1,0,0,1,1,1,0,0,1,0,0,1,0]     => 150
[1,1,0,0,1,1,1,0,0,1,0,1,0,0]     => 115
[1,1,0,0,1,1,1,0,0,1,1,0,0,0]     => 80
[1,1,0,0,1,1,1,0,1,0,0,0,1,0]     => 120
[1,1,0,0,1,1,1,0,1,0,0,1,0,0]     => 95
[1,1,0,0,1,1,1,0,1,0,1,0,0,0]     => 70
[1,1,0,0,1,1,1,0,1,1,0,0,0,0]     => 45
[1,1,0,0,1,1,1,1,0,0,0,0,1,0]     => 80
[1,1,0,0,1,1,1,1,0,0,0,1,0,0]     => 65
[1,1,0,0,1,1,1,1,0,0,1,0,0,0]     => 50
[1,1,0,0,1,1,1,1,0,1,0,0,0,0]     => 35
[1,1,0,0,1,1,1,1,1,0,0,0,0,0]     => 20
[1,1,0,1,0,0,1,0,1,0,1,0,1,0]     => 254
[1,1,0,1,0,0,1,0,1,0,1,1,0,0]     => 178
[1,1,0,1,0,0,1,0,1,1,0,0,1,0]     => 208
[1,1,0,1,0,0,1,0,1,1,0,1,0,0]     => 155
[1,1,0,1,0,0,1,0,1,1,1,0,0,0]     => 102
[1,1,0,1,0,0,1,1,0,0,1,0,1,0]     => 219
[1,1,0,1,0,0,1,1,0,0,1,1,0,0]     => 157
[1,1,0,1,0,0,1,1,0,1,0,0,1,0]     => 187
[1,1,0,1,0,0,1,1,0,1,0,1,0,0]     => 141
[1,1,0,1,0,0,1,1,0,1,1,0,0,0]     => 95
[1,1,0,1,0,0,1,1,1,0,0,0,1,0]     => 139
[1,1,0,1,0,0,1,1,1,0,0,1,0,0]     => 109
[1,1,0,1,0,0,1,1,1,0,1,0,0,0]     => 79
[1,1,0,1,0,0,1,1,1,1,0,0,0,0]     => 49
[1,1,0,1,0,1,0,0,1,0,1,0,1,0]     => 226
[1,1,0,1,0,1,0,0,1,0,1,1,0,0]     => 160
[1,1,0,1,0,1,0,0,1,1,0,0,1,0]     => 188
[1,1,0,1,0,1,0,0,1,1,0,1,0,0]     => 141
[1,1,0,1,0,1,0,0,1,1,1,0,0,0]     => 94
[1,1,0,1,0,1,0,1,0,0,1,0,1,0]     => 201
[1,1,0,1,0,1,0,1,0,0,1,1,0,0]     => 145
[1,1,0,1,0,1,0,1,0,1,0,0,1,0]     => 173
[1,1,0,1,0,1,0,1,0,1,0,1,0,0]     => 131
[1,1,0,1,0,1,0,1,0,1,1,0,0,0]     => 89
[1,1,0,1,0,1,0,1,1,0,0,0,1,0]     => 131
[1,1,0,1,0,1,0,1,1,0,0,1,0,0]     => 103
[1,1,0,1,0,1,0,1,1,0,1,0,0,0]     => 75
[1,1,0,1,0,1,0,1,1,1,0,0,0,0]     => 47
[1,1,0,1,0,1,1,0,0,0,1,0,1,0]     => 156
[1,1,0,1,0,1,1,0,0,0,1,1,0,0]     => 115
[1,1,0,1,0,1,1,0,0,1,0,0,1,0]     => 138
[1,1,0,1,0,1,1,0,0,1,0,1,0,0]     => 106
[1,1,0,1,0,1,1,0,0,1,1,0,0,0]     => 74
[1,1,0,1,0,1,1,0,1,0,0,0,1,0]     => 111
[1,1,0,1,0,1,1,0,1,0,0,1,0,0]     => 88
[1,1,0,1,0,1,1,0,1,0,1,0,0,0]     => 65
[1,1,0,1,0,1,1,0,1,1,0,0,0,0]     => 42
[1,1,0,1,0,1,1,1,0,0,0,0,1,0]     => 75
[1,1,0,1,0,1,1,1,0,0,0,1,0,0]     => 61
[1,1,0,1,0,1,1,1,0,0,1,0,0,0]     => 47
[1,1,0,1,0,1,1,1,0,1,0,0,0,0]     => 33
[1,1,0,1,0,1,1,1,1,0,0,0,0,0]     => 19
[1,1,0,1,1,0,0,0,1,0,1,0,1,0]     => 170
[1,1,0,1,1,0,0,0,1,0,1,1,0,0]     => 122
[1,1,0,1,1,0,0,0,1,1,0,0,1,0]     => 144
[1,1,0,1,1,0,0,0,1,1,0,1,0,0]     => 109
[1,1,0,1,1,0,0,0,1,1,1,0,0,0]     => 74
[1,1,0,1,1,0,0,1,0,0,1,0,1,0]     => 155
[1,1,0,1,1,0,0,1,0,0,1,1,0,0]     => 113
[1,1,0,1,1,0,0,1,0,1,0,0,1,0]     => 135
[1,1,0,1,1,0,0,1,0,1,0,1,0,0]     => 103
[1,1,0,1,1,0,0,1,0,1,1,0,0,0]     => 71
[1,1,0,1,1,0,0,1,1,0,0,0,1,0]     => 105
[1,1,0,1,1,0,0,1,1,0,0,1,0,0]     => 83
[1,1,0,1,1,0,0,1,1,0,1,0,0,0]     => 61
[1,1,0,1,1,0,0,1,1,1,0,0,0,0]     => 39
[1,1,0,1,1,0,1,0,0,0,1,0,1,0]     => 128
[1,1,0,1,1,0,1,0,0,0,1,1,0,0]     => 95
[1,1,0,1,1,0,1,0,0,1,0,0,1,0]     => 114
[1,1,0,1,1,0,1,0,0,1,0,1,0,0]     => 88
[1,1,0,1,1,0,1,0,0,1,1,0,0,0]     => 62
[1,1,0,1,1,0,1,0,1,0,0,0,1,0]     => 93
[1,1,0,1,1,0,1,0,1,0,0,1,0,0]     => 74
[1,1,0,1,1,0,1,0,1,0,1,0,0,0]     => 55
[1,1,0,1,1,0,1,0,1,1,0,0,0,0]     => 36
[1,1,0,1,1,0,1,1,0,0,0,0,1,0]     => 65
[1,1,0,1,1,0,1,1,0,0,0,1,0,0]     => 53
[1,1,0,1,1,0,1,1,0,0,1,0,0,0]     => 41
[1,1,0,1,1,0,1,1,0,1,0,0,0,0]     => 29
[1,1,0,1,1,0,1,1,1,0,0,0,0,0]     => 17
[1,1,0,1,1,1,0,0,0,0,1,0,1,0]     => 86
[1,1,0,1,1,1,0,0,0,0,1,1,0,0]     => 65
[1,1,0,1,1,1,0,0,0,1,0,0,1,0]     => 78
[1,1,0,1,1,1,0,0,0,1,0,1,0,0]     => 61
[1,1,0,1,1,1,0,0,0,1,1,0,0,0]     => 44
[1,1,0,1,1,1,0,0,1,0,0,0,1,0]     => 66
[1,1,0,1,1,1,0,0,1,0,0,1,0,0]     => 53
[1,1,0,1,1,1,0,0,1,0,1,0,0,0]     => 40
[1,1,0,1,1,1,0,0,1,1,0,0,0,0]     => 27
[1,1,0,1,1,1,0,1,0,0,0,0,1,0]     => 50
[1,1,0,1,1,1,0,1,0,0,0,1,0,0]     => 41
[1,1,0,1,1,1,0,1,0,0,1,0,0,0]     => 32
[1,1,0,1,1,1,0,1,0,1,0,0,0,0]     => 23
[1,1,0,1,1,1,0,1,1,0,0,0,0,0]     => 14
[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]     => 25
[1,1,0,1,1,1,1,0,0,0,1,0,0,0]     => 20
[1,1,0,1,1,1,1,0,0,1,0,0,0,0]     => 15
[1,1,0,1,1,1,1,0,1,0,0,0,0,0]     => 10
[1,1,0,1,1,1,1,1,0,0,0,0,0,0]     => 5
[1,1,1,0,0,0,1,0,1,0,1,0,1,0]     => 164
[1,1,1,0,0,0,1,0,1,0,1,1,0,0]     => 116
[1,1,1,0,0,0,1,0,1,1,0,0,1,0]     => 136
[1,1,1,0,0,0,1,0,1,1,0,1,0,0]     => 102
[1,1,1,0,0,0,1,0,1,1,1,0,0,0]     => 68
[1,1,1,0,0,0,1,1,0,0,1,0,1,0]     => 144
[1,1,1,0,0,0,1,1,0,0,1,1,0,0]     => 104
[1,1,1,0,0,0,1,1,0,1,0,0,1,0]     => 124
[1,1,1,0,0,0,1,1,0,1,0,1,0,0]     => 94
[1,1,1,0,0,0,1,1,0,1,1,0,0,0]     => 64
[1,1,1,0,0,0,1,1,1,0,0,0,1,0]     => 94
[1,1,1,0,0,0,1,1,1,0,0,1,0,0]     => 74
[1,1,1,0,0,0,1,1,1,0,1,0,0,0]     => 54
[1,1,1,0,0,0,1,1,1,1,0,0,0,0]     => 34
[1,1,1,0,0,1,0,0,1,0,1,0,1,0]     => 150
[1,1,1,0,0,1,0,0,1,0,1,1,0,0]     => 107
[1,1,1,0,0,1,0,0,1,1,0,0,1,0]     => 126
[1,1,1,0,0,1,0,0,1,1,0,1,0,0]     => 95
[1,1,1,0,0,1,0,0,1,1,1,0,0,0]     => 64
[1,1,1,0,0,1,0,1,0,0,1,0,1,0]     => 135
[1,1,1,0,0,1,0,1,0,0,1,1,0,0]     => 98
[1,1,1,0,0,1,0,1,0,1,0,0,1,0]     => 117
[1,1,1,0,0,1,0,1,0,1,0,1,0,0]     => 89
[1,1,1,0,0,1,0,1,0,1,1,0,0,0]     => 61
[1,1,1,0,0,1,0,1,1,0,0,0,1,0]     => 90
[1,1,1,0,0,1,0,1,1,0,0,1,0,0]     => 71
[1,1,1,0,0,1,0,1,1,0,1,0,0,0]     => 52
[1,1,1,0,0,1,0,1,1,1,0,0,0,0]     => 33
[1,1,1,0,0,1,1,0,0,0,1,0,1,0]     => 108
[1,1,1,0,0,1,1,0,0,0,1,1,0,0]     => 80
[1,1,1,0,0,1,1,0,0,1,0,0,1,0]     => 96
[1,1,1,0,0,1,1,0,0,1,0,1,0,0]     => 74
[1,1,1,0,0,1,1,0,0,1,1,0,0,0]     => 52
[1,1,1,0,0,1,1,0,1,0,0,0,1,0]     => 78
[1,1,1,0,0,1,1,0,1,0,0,1,0,0]     => 62
[1,1,1,0,0,1,1,0,1,0,1,0,0,0]     => 46
[1,1,1,0,0,1,1,0,1,1,0,0,0,0]     => 30
[1,1,1,0,0,1,1,1,0,0,0,0,1,0]     => 54
[1,1,1,0,0,1,1,1,0,0,0,1,0,0]     => 44
[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]     => 24
[1,1,1,0,0,1,1,1,1,0,0,0,0,0]     => 14
[1,1,1,0,1,0,0,0,1,0,1,0,1,0]     => 122
[1,1,1,0,1,0,0,0,1,0,1,1,0,0]     => 88
[1,1,1,0,1,0,0,0,1,1,0,0,1,0]     => 104
[1,1,1,0,1,0,0,0,1,1,0,1,0,0]     => 79
[1,1,1,0,1,0,0,0,1,1,1,0,0,0]     => 54
[1,1,1,0,1,0,0,1,0,0,1,0,1,0]     => 112
[1,1,1,0,1,0,0,1,0,0,1,1,0,0]     => 82
[1,1,1,0,1,0,0,1,0,1,0,0,1,0]     => 98
[1,1,1,0,1,0,0,1,0,1,0,1,0,0]     => 75
[1,1,1,0,1,0,0,1,0,1,1,0,0,0]     => 52
[1,1,1,0,1,0,0,1,1,0,0,0,1,0]     => 77
[1,1,1,0,1,0,0,1,1,0,0,1,0,0]     => 61
[1,1,1,0,1,0,0,1,1,0,1,0,0,0]     => 45
[1,1,1,0,1,0,0,1,1,1,0,0,0,0]     => 29
[1,1,1,0,1,0,1,0,0,0,1,0,1,0]     => 94
[1,1,1,0,1,0,1,0,0,0,1,1,0,0]     => 70
[1,1,1,0,1,0,1,0,0,1,0,0,1,0]     => 84
[1,1,1,0,1,0,1,0,0,1,0,1,0,0]     => 65
[1,1,1,0,1,0,1,0,0,1,1,0,0,0]     => 46
[1,1,1,0,1,0,1,0,1,0,0,0,1,0]     => 69
[1,1,1,0,1,0,1,0,1,0,0,1,0,0]     => 55
[1,1,1,0,1,0,1,0,1,0,1,0,0,0]     => 41
[1,1,1,0,1,0,1,0,1,1,0,0,0,0]     => 27
[1,1,1,0,1,0,1,1,0,0,0,0,1,0]     => 49
[1,1,1,0,1,0,1,1,0,0,0,1,0,0]     => 40
[1,1,1,0,1,0,1,1,0,0,1,0,0,0]     => 31
[1,1,1,0,1,0,1,1,0,1,0,0,0,0]     => 22
[1,1,1,0,1,0,1,1,1,0,0,0,0,0]     => 13
[1,1,1,0,1,1,0,0,0,0,1,0,1,0]     => 66
[1,1,1,0,1,1,0,0,0,0,1,1,0,0]     => 50
[1,1,1,0,1,1,0,0,0,1,0,0,1,0]     => 60
[1,1,1,0,1,1,0,0,0,1,0,1,0,0]     => 47
[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]     => 51
[1,1,1,0,1,1,0,0,1,0,0,1,0,0]     => 41
[1,1,1,0,1,1,0,0,1,0,1,0,0,0]     => 31
[1,1,1,0,1,1,0,0,1,1,0,0,0,0]     => 21
[1,1,1,0,1,1,0,1,0,0,0,0,1,0]     => 39
[1,1,1,0,1,1,0,1,0,0,0,1,0,0]     => 32
[1,1,1,0,1,1,0,1,0,0,1,0,0,0]     => 25
[1,1,1,0,1,1,0,1,0,1,0,0,0,0]     => 18
[1,1,1,0,1,1,0,1,1,0,0,0,0,0]     => 11
[1,1,1,0,1,1,1,0,0,0,0,0,1,0]     => 24
[1,1,1,0,1,1,1,0,0,0,0,1,0,0]     => 20
[1,1,1,0,1,1,1,0,0,0,1,0,0,0]     => 16
[1,1,1,0,1,1,1,0,0,1,0,0,0,0]     => 12
[1,1,1,0,1,1,1,0,1,0,0,0,0,0]     => 8
[1,1,1,0,1,1,1,1,0,0,0,0,0,0]     => 4
[1,1,1,1,0,0,0,0,1,0,1,0,1,0]     => 74
[1,1,1,1,0,0,0,0,1,0,1,1,0,0]     => 54
[1,1,1,1,0,0,0,0,1,1,0,0,1,0]     => 64
[1,1,1,1,0,0,0,0,1,1,0,1,0,0]     => 49
[1,1,1,1,0,0,0,0,1,1,1,0,0,0]     => 34
[1,1,1,1,0,0,0,1,0,0,1,0,1,0]     => 69
[1,1,1,1,0,0,0,1,0,0,1,1,0,0]     => 51
[1,1,1,1,0,0,0,1,0,1,0,0,1,0]     => 61
[1,1,1,1,0,0,0,1,0,1,0,1,0,0]     => 47
[1,1,1,1,0,0,0,1,0,1,1,0,0,0]     => 33
[1,1,1,1,0,0,0,1,1,0,0,0,1,0]     => 49
[1,1,1,1,0,0,0,1,1,0,0,1,0,0]     => 39
[1,1,1,1,0,0,0,1,1,0,1,0,0,0]     => 29
[1,1,1,1,0,0,0,1,1,1,0,0,0,0]     => 19
[1,1,1,1,0,0,1,0,0,0,1,0,1,0]     => 60
[1,1,1,1,0,0,1,0,0,0,1,1,0,0]     => 45
[1,1,1,1,0,0,1,0,0,1,0,0,1,0]     => 54
[1,1,1,1,0,0,1,0,0,1,0,1,0,0]     => 42
[1,1,1,1,0,0,1,0,0,1,1,0,0,0]     => 30
[1,1,1,1,0,0,1,0,1,0,0,0,1,0]     => 45
[1,1,1,1,0,0,1,0,1,0,0,1,0,0]     => 36
[1,1,1,1,0,0,1,0,1,0,1,0,0,0]     => 27
[1,1,1,1,0,0,1,0,1,1,0,0,0,0]     => 18
[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]     => 27
[1,1,1,1,0,0,1,1,0,0,1,0,0,0]     => 21
[1,1,1,1,0,0,1,1,0,1,0,0,0,0]     => 15
[1,1,1,1,0,0,1,1,1,0,0,0,0,0]     => 9
[1,1,1,1,0,1,0,0,0,0,1,0,1,0]     => 46
[1,1,1,1,0,1,0,0,0,0,1,1,0,0]     => 35
[1,1,1,1,0,1,0,0,0,1,0,0,1,0]     => 42
[1,1,1,1,0,1,0,0,0,1,0,1,0,0]     => 33
[1,1,1,1,0,1,0,0,0,1,1,0,0,0]     => 24
[1,1,1,1,0,1,0,0,1,0,0,0,1,0]     => 36
[1,1,1,1,0,1,0,0,1,0,0,1,0,0]     => 29
[1,1,1,1,0,1,0,0,1,0,1,0,0,0]     => 22
[1,1,1,1,0,1,0,0,1,1,0,0,0,0]     => 15
[1,1,1,1,0,1,0,1,0,0,0,0,1,0]     => 28
[1,1,1,1,0,1,0,1,0,0,0,1,0,0]     => 23
[1,1,1,1,0,1,0,1,0,0,1,0,0,0]     => 18
[1,1,1,1,0,1,0,1,0,1,0,0,0,0]     => 13
[1,1,1,1,0,1,0,1,1,0,0,0,0,0]     => 8
[1,1,1,1,0,1,1,0,0,0,0,0,1,0]     => 18
[1,1,1,1,0,1,1,0,0,0,0,1,0,0]     => 15
[1,1,1,1,0,1,1,0,0,0,1,0,0,0]     => 12
[1,1,1,1,0,1,1,0,0,1,0,0,0,0]     => 9
[1,1,1,1,0,1,1,0,1,0,0,0,0,0]     => 6
[1,1,1,1,0,1,1,1,0,0,0,0,0,0]     => 3
[1,1,1,1,1,0,0,0,0,0,1,0,1,0]     => 26
[1,1,1,1,1,0,0,0,0,0,1,1,0,0]     => 20
[1,1,1,1,1,0,0,0,0,1,0,0,1,0]     => 24
[1,1,1,1,1,0,0,0,0,1,0,1,0,0]     => 19
[1,1,1,1,1,0,0,0,0,1,1,0,0,0]     => 14
[1,1,1,1,1,0,0,0,1,0,0,0,1,0]     => 21
[1,1,1,1,1,0,0,0,1,0,0,1,0,0]     => 17
[1,1,1,1,1,0,0,0,1,0,1,0,0,0]     => 13
[1,1,1,1,1,0,0,0,1,1,0,0,0,0]     => 9
[1,1,1,1,1,0,0,1,0,0,0,0,1,0]     => 17
[1,1,1,1,1,0,0,1,0,0,0,1,0,0]     => 14
[1,1,1,1,1,0,0,1,0,0,1,0,0,0]     => 11
[1,1,1,1,1,0,0,1,0,1,0,0,0,0]     => 8
[1,1,1,1,1,0,0,1,1,0,0,0,0,0]     => 5
[1,1,1,1,1,0,1,0,0,0,0,0,1,0]     => 12
[1,1,1,1,1,0,1,0,0,0,0,1,0,0]     => 10
[1,1,1,1,1,0,1,0,0,0,1,0,0,0]     => 8
[1,1,1,1,1,0,1,0,0,1,0,0,0,0]     => 6
[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]     => 2
[1,1,1,1,1,1,0,0,0,0,0,0,1,0]     => 6
[1,1,1,1,1,1,0,0,0,0,0,1,0,0]     => 5
[1,1,1,1,1,1,0,0,0,0,1,0,0,0]     => 4
[1,1,1,1,1,1,0,0,0,1,0,0,0,0]     => 3
[1,1,1,1,1,1,0,0,1,0,0,0,0,0]     => 2
[1,1,1,1,1,1,0,1,0,0,0,0,0,0]     => 1
[1,1,1,1,1,1,1,0,0,0,0,0,0,0]     => 0
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1429
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 1000
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 1165
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 868
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 571
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 1219
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 874
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 1039
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 784
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 529
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 769
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 604
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 439
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 274
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 1233
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 874
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 1025
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 770
[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 515
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 1093
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 790
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 941
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 714
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 487
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 713
[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 562
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 411
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 260
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 841
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 622
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 745
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 574
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 403
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 601
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 478
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 355
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 232
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 409
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 334
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 259
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 184
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 109
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 1219
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 860
[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 1005
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 753
[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 501
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 1059
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 764
[1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 909
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 689
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 469
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 684
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 539
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 394
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 249
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 1093
[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 779
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 915
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 690
[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 465
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 978
[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 710
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 846
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 644
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 442
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 648
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 512
[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 376
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 240
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 771
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 572
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 685
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 529
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 373
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 556
[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 443
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 330
[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 217
[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 384
[1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 314
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 244
[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 174
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 104
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 841
[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 608
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 717
[1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 546
[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 375
[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 771
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 566
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 675
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 518
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 361
[1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 531
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 422
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 313
[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 204
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 645
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 482
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 577
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 448
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 319
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 475
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 380
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 285
[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 190
[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 339
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 278
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 217
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 156
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 95
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 449
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 342
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 409
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 322
[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 235
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 349
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 282
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 215
[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 148
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 269
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 222
[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 175
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 128
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 81
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 169
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 142
[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 115
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 88
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 61
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 34
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1165
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 820
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 957
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 716
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 475
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 1005
[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 724
[1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 861
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 652
[1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 443
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 645
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 508
[1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 371
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 234
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 1025
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 730
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 857
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 646
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 435
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 915
[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 664
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 791
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 602
[1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 413
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 605
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 478
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 351
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 224
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 717
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 532
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 637
[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 492
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 347
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 517
[1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 412
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 307
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 202
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 357
[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 292
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 227
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 162
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 97
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 1039
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 736
[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 861
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 647
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 433
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 909
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 658
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 783
[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 595
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 407
[1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 594
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 469
[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 344
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 219
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 941
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 673
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 791
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 598
[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 405
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 846
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 616
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 734
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 560
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 386
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 566
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 448
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 330
[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 212
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 675
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 502
[1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 601
[1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 465
[1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 329
[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 490
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 391
[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 292
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 193
[1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 342
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 280
[1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 218
[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 156
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 94
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 745
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 540
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 637
[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 486
[1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 335
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 685
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 504
[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 601
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 462
[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 323
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 475
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 378
[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 281
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 184
[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 577
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 432
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 517
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 402
[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 287
[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 427
[1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 342
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 257
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 172
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 307
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 252
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 197
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 142
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 87
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 409
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 312
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 373
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 294
[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 215
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 319
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 258
[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 197
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 136
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 247
[1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 204
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 161
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 118
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 75
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 157
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 132
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 107
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 82
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 57
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 32
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 769
[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 550
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 645
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 488
[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 331
[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 684
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 499
[1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 594
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 454
[1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 314
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 459
[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 364
[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 269
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 174
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 713
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 514
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 605
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 460
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 315
[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 648
[1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 475
[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 566
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 434
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 302
[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 443
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 352
[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 261
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 170
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 531
[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 397
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 475
[1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 369
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 263
[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 391
[1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 313
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 235
[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 157
[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 279
[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 229
[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 179
[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 129
[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 79
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 601
[1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 438
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 517
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 396
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 275
[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 556
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 411
[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 490
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 378
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 266
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 391
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 312
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 233
[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 154
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 475
[1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 357
[1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 427
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 333
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 239
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 355
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 285
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 215
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 145
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 259
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 213
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 167
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 121
[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 75
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 349
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 267
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 319
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 252
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 185
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 274
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 222
[1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 170
[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 118
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 214
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 177
[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 140
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 103
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 66
[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 139
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 117
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 95
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 73
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 51
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 29
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 409
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 302
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 357
[1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 276
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 195
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 384
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 287
[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 342
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 266
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 190
[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 279
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 224
[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 169
[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 114
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 339
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 257
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 307
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 241
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 175
[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 259
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 209
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 159
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 109
[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 195
[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 161
[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 127
[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 93
[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 59
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 269
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 207
[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 247
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 196
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 145
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 214
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 174
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 134
[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 94
[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 170
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 141
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 112
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 83
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 54
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 115
[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 97
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 79
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 61
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 43
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 25
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 169
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 132
[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 157
[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 126
[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 95
[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 139
[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 114
[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 89
[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 64
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 115
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 96
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 77
[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] => 39
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 85
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 72
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 59
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 46
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 33
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 20
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 49
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 42
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 35
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 28
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 21
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 14
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 7
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1000
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 703
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 820
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 613
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 406
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 860
[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 619
[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => 736
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => 557
[1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => 378
[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 550
[1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => 433
[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => 316
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 199
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 874
[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 622
[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 730
[1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => 550
[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 370
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => 779
[1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => 565
[1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => 673
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => 512
[1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => 351
[1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => 514
[1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => 406
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => 298
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => 190
[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 608
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 451
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => 540
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => 417
[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => 294
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => 438
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => 349
[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => 260
[1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => 171
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 302
[1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => 247
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => 192
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => 137
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 82
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 874
[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 619
[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 724
[1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => 544
[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 364
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 764
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 553
[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 658
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => 500
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => 342
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 499
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 394
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => 289
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 184
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 790
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 565
[1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 664
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 502
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 340
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 710
[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 517
[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => 616
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => 470
[1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => 324
[1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => 475
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => 376
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => 277
[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => 178
[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 566
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 421
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 504
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => 390
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => 276
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => 411
[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => 328
[1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => 245
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => 162
[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => 287
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => 235
[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => 183
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => 131
[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => 79
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 622
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 451
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 532
[1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 406
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 280
[1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 572
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 421
[1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 502
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => 386
[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => 270
[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 397
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 316
[1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => 235
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => 154
[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 482
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 361
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 432
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => 336
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => 240
[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => 357
[1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => 286
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => 215
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => 144
[1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => 257
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => 211
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => 165
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => 119
[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => 73
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 342
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 261
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 312
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => 246
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => 180
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 267
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 216
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => 165
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => 114
[1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => 207
[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => 171
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => 135
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => 99
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => 63
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 132
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => 111
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => 90
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => 69
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => 48
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 27
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 868
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => 613
[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => 716
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => 537
[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => 358
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 753
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 544
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 647
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => 491
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => 335
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 488
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 385
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => 282
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => 179
[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 770

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Created: Feb 26, 2016 at 10:42 by Christian Stump

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Last Updated: Nov 16, 2017 at 11:43 by Martin Rubey