***************************************************************************** * www.FindStat.org - The Combinatorial Statistic Finder * * * * Copyright (C) 2019 The FindStatCrew * * * * 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: St000687 ----------------------------------------------------------------------------- Collection: Dyck paths ----------------------------------------------------------------------------- Description: The dimension of $Hom(I,P)$ for the LNakayama algebra of a Dyck path. In this expression, $I$ is the direct sum of all injective non-projective indecomposable modules and $P$ is the direct sum of all projective non-injective indecomposable modules. This statistic was discussed in [Theorem 5.7, 1]. ----------------------------------------------------------------------------- References: [1] [[https://pub.uni-bielefeld.de/download/1775756/2312013]] ----------------------------------------------------------------------------- Code: ----------------------------------------------------------------------------- Statistic values: [1,0] => 0 [1,0,1,0] => 0 [1,1,0,0] => 0 [1,0,1,0,1,0] => 0 [1,0,1,1,0,0] => 0 [1,1,0,0,1,0] => 0 [1,1,0,1,0,0] => 0 [1,1,1,0,0,0] => 0 [1,0,1,0,1,0,1,0] => 0 [1,0,1,0,1,1,0,0] => 0 [1,0,1,1,0,0,1,0] => 0 [1,0,1,1,0,1,0,0] => 0 [1,0,1,1,1,0,0,0] => 0 [1,1,0,0,1,0,1,0] => 0 [1,1,0,0,1,1,0,0] => 1 [1,1,0,1,0,0,1,0] => 0 [1,1,0,1,0,1,0,0] => 0 [1,1,0,1,1,0,0,0] => 0 [1,1,1,0,0,0,1,0] => 0 [1,1,1,0,0,1,0,0] => 0 [1,1,1,0,1,0,0,0] => 0 [1,1,1,1,0,0,0,0] => 0 [1,0,1,0,1,0,1,0,1,0] => 0 [1,0,1,0,1,0,1,1,0,0] => 0 [1,0,1,0,1,1,0,0,1,0] => 0 [1,0,1,0,1,1,0,1,0,0] => 0 [1,0,1,0,1,1,1,0,0,0] => 0 [1,0,1,1,0,0,1,0,1,0] => 0 [1,0,1,1,0,0,1,1,0,0] => 1 [1,0,1,1,0,1,0,0,1,0] => 0 [1,0,1,1,0,1,0,1,0,0] => 0 [1,0,1,1,0,1,1,0,0,0] => 0 [1,0,1,1,1,0,0,0,1,0] => 0 [1,0,1,1,1,0,0,1,0,0] => 0 [1,0,1,1,1,0,1,0,0,0] => 0 [1,0,1,1,1,1,0,0,0,0] => 0 [1,1,0,0,1,0,1,0,1,0] => 0 [1,1,0,0,1,0,1,1,0,0] => 0 [1,1,0,0,1,1,0,0,1,0] => 1 [1,1,0,0,1,1,0,1,0,0] => 1 [1,1,0,0,1,1,1,0,0,0] => 2 [1,1,0,1,0,0,1,0,1,0] => 0 [1,1,0,1,0,0,1,1,0,0] => 1 [1,1,0,1,0,1,0,0,1,0] => 0 [1,1,0,1,0,1,0,1,0,0] => 0 [1,1,0,1,0,1,1,0,0,0] => 0 [1,1,0,1,1,0,0,0,1,0] => 0 [1,1,0,1,1,0,0,1,0,0] => 0 [1,1,0,1,1,0,1,0,0,0] => 0 [1,1,0,1,1,1,0,0,0,0] => 0 [1,1,1,0,0,0,1,0,1,0] => 0 [1,1,1,0,0,0,1,1,0,0] => 2 [1,1,1,0,0,1,0,0,1,0] => 0 [1,1,1,0,0,1,0,1,0,0] => 0 [1,1,1,0,0,1,1,0,0,0] => 1 [1,1,1,0,1,0,0,0,1,0] => 0 [1,1,1,0,1,0,0,1,0,0] => 0 [1,1,1,0,1,0,1,0,0,0] => 0 [1,1,1,0,1,1,0,0,0,0] => 0 [1,1,1,1,0,0,0,0,1,0] => 0 [1,1,1,1,0,0,0,1,0,0] => 0 [1,1,1,1,0,0,1,0,0,0] => 0 [1,1,1,1,0,1,0,0,0,0] => 0 [1,1,1,1,1,0,0,0,0,0] => 0 [1,0,1,0,1,0,1,0,1,0,1,0] => 0 [1,0,1,0,1,0,1,0,1,1,0,0] => 0 [1,0,1,0,1,0,1,1,0,0,1,0] => 0 [1,0,1,0,1,0,1,1,0,1,0,0] => 0 [1,0,1,0,1,0,1,1,1,0,0,0] => 0 [1,0,1,0,1,1,0,0,1,0,1,0] => 0 [1,0,1,0,1,1,0,0,1,1,0,0] => 1 [1,0,1,0,1,1,0,1,0,0,1,0] => 0 [1,0,1,0,1,1,0,1,0,1,0,0] => 0 [1,0,1,0,1,1,0,1,1,0,0,0] => 0 [1,0,1,0,1,1,1,0,0,0,1,0] => 0 [1,0,1,0,1,1,1,0,0,1,0,0] => 0 [1,0,1,0,1,1,1,0,1,0,0,0] => 0 [1,0,1,0,1,1,1,1,0,0,0,0] => 0 [1,0,1,1,0,0,1,0,1,0,1,0] => 0 [1,0,1,1,0,0,1,0,1,1,0,0] => 0 [1,0,1,1,0,0,1,1,0,0,1,0] => 1 [1,0,1,1,0,0,1,1,0,1,0,0] => 1 [1,0,1,1,0,0,1,1,1,0,0,0] => 2 [1,0,1,1,0,1,0,0,1,0,1,0] => 0 [1,0,1,1,0,1,0,0,1,1,0,0] => 1 [1,0,1,1,0,1,0,1,0,0,1,0] => 0 [1,0,1,1,0,1,0,1,0,1,0,0] => 0 [1,0,1,1,0,1,0,1,1,0,0,0] => 0 [1,0,1,1,0,1,1,0,0,0,1,0] => 0 [1,0,1,1,0,1,1,0,0,1,0,0] => 0 [1,0,1,1,0,1,1,0,1,0,0,0] => 0 [1,0,1,1,0,1,1,1,0,0,0,0] => 0 [1,0,1,1,1,0,0,0,1,0,1,0] => 0 [1,0,1,1,1,0,0,0,1,1,0,0] => 2 [1,0,1,1,1,0,0,1,0,0,1,0] => 0 [1,0,1,1,1,0,0,1,0,1,0,0] => 0 [1,0,1,1,1,0,0,1,1,0,0,0] => 1 [1,0,1,1,1,0,1,0,0,0,1,0] => 0 [1,0,1,1,1,0,1,0,0,1,0,0] => 0 [1,0,1,1,1,0,1,0,1,0,0,0] => 0 [1,0,1,1,1,0,1,1,0,0,0,0] => 0 [1,0,1,1,1,1,0,0,0,0,1,0] => 0 [1,0,1,1,1,1,0,0,0,1,0,0] => 0 [1,0,1,1,1,1,0,0,1,0,0,0] => 0 [1,0,1,1,1,1,0,1,0,0,0,0] => 0 [1,0,1,1,1,1,1,0,0,0,0,0] => 0 [1,1,0,0,1,0,1,0,1,0,1,0] => 0 [1,1,0,0,1,0,1,0,1,1,0,0] => 0 [1,1,0,0,1,0,1,1,0,0,1,0] => 0 [1,1,0,0,1,0,1,1,0,1,0,0] => 0 [1,1,0,0,1,0,1,1,1,0,0,0] => 0 [1,1,0,0,1,1,0,0,1,0,1,0] => 1 [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] => 1 [1,1,0,0,1,1,0,1,0,1,0,0] => 1 [1,1,0,0,1,1,0,1,1,0,0,0] => 1 [1,1,0,0,1,1,1,0,0,0,1,0] => 2 [1,1,0,0,1,1,1,0,0,1,0,0] => 2 [1,1,0,0,1,1,1,0,1,0,0,0] => 2 [1,1,0,0,1,1,1,1,0,0,0,0] => 3 [1,1,0,1,0,0,1,0,1,0,1,0] => 0 [1,1,0,1,0,0,1,0,1,1,0,0] => 0 [1,1,0,1,0,0,1,1,0,0,1,0] => 1 [1,1,0,1,0,0,1,1,0,1,0,0] => 1 [1,1,0,1,0,0,1,1,1,0,0,0] => 2 [1,1,0,1,0,1,0,0,1,0,1,0] => 0 [1,1,0,1,0,1,0,0,1,1,0,0] => 1 [1,1,0,1,0,1,0,1,0,0,1,0] => 0 [1,1,0,1,0,1,0,1,0,1,0,0] => 0 [1,1,0,1,0,1,0,1,1,0,0,0] => 0 [1,1,0,1,0,1,1,0,0,0,1,0] => 0 [1,1,0,1,0,1,1,0,0,1,0,0] => 0 [1,1,0,1,0,1,1,0,1,0,0,0] => 0 [1,1,0,1,0,1,1,1,0,0,0,0] => 0 [1,1,0,1,1,0,0,0,1,0,1,0] => 0 [1,1,0,1,1,0,0,0,1,1,0,0] => 2 [1,1,0,1,1,0,0,1,0,0,1,0] => 0 [1,1,0,1,1,0,0,1,0,1,0,0] => 0 [1,1,0,1,1,0,0,1,1,0,0,0] => 1 [1,1,0,1,1,0,1,0,0,0,1,0] => 0 [1,1,0,1,1,0,1,0,0,1,0,0] => 0 [1,1,0,1,1,0,1,0,1,0,0,0] => 0 [1,1,0,1,1,0,1,1,0,0,0,0] => 0 [1,1,0,1,1,1,0,0,0,0,1,0] => 0 [1,1,0,1,1,1,0,0,0,1,0,0] => 0 [1,1,0,1,1,1,0,0,1,0,0,0] => 0 [1,1,0,1,1,1,0,1,0,0,0,0] => 0 [1,1,0,1,1,1,1,0,0,0,0,0] => 0 [1,1,1,0,0,0,1,0,1,0,1,0] => 0 [1,1,1,0,0,0,1,0,1,1,0,0] => 0 [1,1,1,0,0,0,1,1,0,0,1,0] => 2 [1,1,1,0,0,0,1,1,0,1,0,0] => 2 [1,1,1,0,0,0,1,1,1,0,0,0] => 4 [1,1,1,0,0,1,0,0,1,0,1,0] => 0 [1,1,1,0,0,1,0,0,1,1,0,0] => 1 [1,1,1,0,0,1,0,1,0,0,1,0] => 0 [1,1,1,0,0,1,0,1,0,1,0,0] => 0 [1,1,1,0,0,1,0,1,1,0,0,0] => 1 [1,1,1,0,0,1,1,0,0,0,1,0] => 1 [1,1,1,0,0,1,1,0,0,1,0,0] => 1 [1,1,1,0,0,1,1,0,1,0,0,0] => 1 [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] => 0 [1,1,1,0,1,0,0,0,1,1,0,0] => 2 [1,1,1,0,1,0,0,1,0,0,1,0] => 0 [1,1,1,0,1,0,0,1,0,1,0,0] => 0 [1,1,1,0,1,0,0,1,1,0,0,0] => 1 [1,1,1,0,1,0,1,0,0,0,1,0] => 0 [1,1,1,0,1,0,1,0,0,1,0,0] => 0 [1,1,1,0,1,0,1,0,1,0,0,0] => 0 [1,1,1,0,1,0,1,1,0,0,0,0] => 0 [1,1,1,0,1,1,0,0,0,0,1,0] => 0 [1,1,1,0,1,1,0,0,0,1,0,0] => 0 [1,1,1,0,1,1,0,0,1,0,0,0] => 0 [1,1,1,0,1,1,0,1,0,0,0,0] => 0 [1,1,1,0,1,1,1,0,0,0,0,0] => 0 [1,1,1,1,0,0,0,0,1,0,1,0] => 0 [1,1,1,1,0,0,0,0,1,1,0,0] => 3 [1,1,1,1,0,0,0,1,0,0,1,0] => 0 [1,1,1,1,0,0,0,1,0,1,0,0] => 0 [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] => 0 [1,1,1,1,0,0,1,0,0,1,0,0] => 0 [1,1,1,1,0,0,1,0,1,0,0,0] => 0 [1,1,1,1,0,0,1,1,0,0,0,0] => 1 [1,1,1,1,0,1,0,0,0,0,1,0] => 0 [1,1,1,1,0,1,0,0,0,1,0,0] => 0 [1,1,1,1,0,1,0,0,1,0,0,0] => 0 [1,1,1,1,0,1,0,1,0,0,0,0] => 0 [1,1,1,1,0,1,1,0,0,0,0,0] => 0 [1,1,1,1,1,0,0,0,0,0,1,0] => 0 [1,1,1,1,1,0,0,0,0,1,0,0] => 0 [1,1,1,1,1,0,0,0,1,0,0,0] => 0 [1,1,1,1,1,0,0,1,0,0,0,0] => 0 [1,1,1,1,1,0,1,0,0,0,0,0] => 0 [1,1,1,1,1,1,0,0,0,0,0,0] => 0 [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0 [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 0 [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 0 [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 0 [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 0 [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 0 [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 1 [1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 0 [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 0 [1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 0 [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 0 [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 0 [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 0 [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 0 [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 0 [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 0 [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 1 [1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 1 [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 2 [1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 0 [1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 1 [1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 0 [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 0 [1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 0 [1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 0 [1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 0 [1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 0 [1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 0 [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 0 [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 2 [1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 0 [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 0 [1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 1 [1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 0 [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 0 [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 0 [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 0 [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 0 [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 0 [1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 0 [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 0 [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 0 [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 0 [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 0 [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 0 [1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 0 [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 0 [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 1 [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 2 [1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 1 [1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 1 [1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 1 [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 2 [1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 2 [1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 2 [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] => 0 [1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 0 [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 1 [1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 1 [1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 2 [1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 0 [1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 1 [1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 0 [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 0 [1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 0 [1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 0 [1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 0 [1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 0 [1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 0 [1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 0 [1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 2 [1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 0 [1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 0 [1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 1 [1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 0 [1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 0 [1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 0 [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 0 [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 0 [1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 0 [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 0 [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 0 [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 0 [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 0 [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 0 [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 2 [1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 2 [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 4 [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 0 [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 1 [1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 0 [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 0 [1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 1 [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 1 [1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 1 [1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 1 [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 2 [1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 0 [1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 2 [1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 0 [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 0 [1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 1 [1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 0 [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 0 [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 0 [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 0 [1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 0 [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 0 [1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 0 [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 0 [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 0 [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 0 [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 3 [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 0 [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 0 [1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 2 [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 0 [1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 0 [1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 0 [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 1 [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 0 [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 0 [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 0 [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 0 [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 0 [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 0 [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 0 [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 0 [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 0 [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 0 [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 0 [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 0 [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 0 [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 0 [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 0 [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 0 [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 0 [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 1 [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 0 [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 0 [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 0 [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 0 [1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 0 [1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 0 [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 0 [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 1 [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 1 [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2 [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 2 [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 3 [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 1 [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 2 [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 1 [1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 1 [1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 1 [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 1 [1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 1 [1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 1 [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 1 [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 2 [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 4 [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 2 [1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 2 [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 3 [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 2 [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 2 [1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 2 [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 2 [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 3 [1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 3 [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 3 [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] => 4 [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 0 [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 0 [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 0 [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 0 [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 0 [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 1 [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2 [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 1 [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 1 [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 1 [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 2 [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 2 [1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 2 [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 3 [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 0 [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 0 [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 1 [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 1 [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 2 [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 0 [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 1 [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 0 [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 0 [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 0 [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 0 [1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 0 [1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 0 [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 0 [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 0 [1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 2 [1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 0 [1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 0 [1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 1 [1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 0 [1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 0 [1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 0 [1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 0 [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 0 [1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 0 [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 0 [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 0 [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 0 [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 0 [1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 0 [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 2 [1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 2 [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 4 [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 0 [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 1 [1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 0 [1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 0 [1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 1 [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 1 [1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 1 [1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 1 [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 2 [1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 0 [1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 2 [1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 0 [1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 0 [1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 1 [1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 0 [1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 0 [1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 0 [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 0 [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 0 [1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 0 [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 0 [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 0 [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 0 [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 0 [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] => 0 [1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 0 [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 2 [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 0 [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 0 [1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 0 [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 1 [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 0 [1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 0 [1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 0 [1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 0 [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 0 [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 0 [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 0 [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 0 [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 0 [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 0 [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 0 [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 0 [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 0 [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 0 [1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 0 [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 0 [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 2 [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 3 [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 2 [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 2 [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 2 [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 4 [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 4 [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 4 [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 6 [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 0 [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 0 [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 1 [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 1 [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2 [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 0 [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 1 [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 0 [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 0 [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 0 [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 1 [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 1 [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 1 [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 2 [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 1 [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3 [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 1 [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 1 [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 2 [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 1 [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 1 [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 1 [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 2 [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 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] => 2 [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 2 [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3 [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 0 [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 0 [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 2 [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 2 [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 4 [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 0 [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 1 [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 0 [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 0 [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 1 [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 1 [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 1 [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 1 [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2 [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 0 [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 2 [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 0 [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 0 [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 1 [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 0 [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 0 [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 0 [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 0 [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 0 [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 0 [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 0 [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 0 [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 0 [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 0 [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] => 0 [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 0 [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 2 [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 0 [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 0 [1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 0 [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 1 [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 0 [1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 0 [1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 0 [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 0 [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 0 [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 0 [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 0 [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 0 [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 0 [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 0 [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 0 [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 0 [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 0 [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 3 [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] => 6 [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 0 [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 1 [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 0 [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 0 [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 2 [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2 [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 2 [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 2 [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 4 [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 0 [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2 [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 0 [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 0 [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 2 [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 0 [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 0 [1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 0 [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 1 [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 1 [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 1 [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 1 [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 1 [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] => 0 [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 3 [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 0 [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 0 [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 2 [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 0 [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 0 [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 0 [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 1 [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 0 [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 0 [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 0 [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 0 [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 0 [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 0 [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 0 [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 0 [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 0 [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 0 [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 0 [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 0 [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 4 [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 0 [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 0 [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 3 [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 0 [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 0 [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 0 [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] => 0 [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 0 [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 0 [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 0 [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 1 [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 0 [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 0 [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 0 [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 0 [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 0 [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 0 [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 0 [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 0 [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 0 [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 0 [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 0 [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 0 [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 0 ----------------------------------------------------------------------------- Created: Jan 12, 2017 at 02:00 by Rene Marczinzik ----------------------------------------------------------------------------- Last Updated: Jan 12, 2017 at 09:12 by Christian Stump