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*       www.FindStat.org - The Combinatorial Statistic Finder               *
*                                                                           *
*       Copyright (C) 2019 The FindStatCrew <info@findstat.org>             *
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*    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.                   *
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-----------------------------------------------------------------------------
Statistic identifier: St000969

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

-----------------------------------------------------------------------------
Description: We make a CNakayama algebra out of the LNakayama algebra (corresponding to the Dyck path) $[c_0,c_1,...,c_{n-1}]$ by adding $c_0$ to $c_{n-1}$. Then we calculate the global dimension of that CNakayama algebra.

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

-----------------------------------------------------------------------------
Code:


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

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

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Created: Sep 03, 2017 at 14:54 by Rene Marczinzik

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Last Updated: Sep 03, 2017 at 14:54 by Rene Marczinzik