***************************************************************************** * 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: St001505 ----------------------------------------------------------------------------- Collection: Dyck paths ----------------------------------------------------------------------------- Description: The number of elements generated by the Dyck path as a map in the full transformation monoid. We view the resolution quiver of a Dyck path (corresponding to an LNakayamaalgebra) as a transformation and associate to it the submonoid generated by this map in the full transformation monoid. ----------------------------------------------------------------------------- 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] => 3 [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] => 4 [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] => 4 [1,1,0,0,1,1,0,0] => 3 [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] => 3 [1,1,1,0,0,1,0,0] => 3 [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] => 5 [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] => 5 [1,0,1,1,0,0,1,1,0,0] => 4 [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] => 4 [1,0,1,1,1,0,0,1,0,0] => 4 [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] => 5 [1,1,0,0,1,0,1,1,0,0] => 4 [1,1,0,0,1,1,0,0,1,0] => 4 [1,1,0,0,1,1,0,1,0,0] => 4 [1,1,0,0,1,1,1,0,0,0] => 3 [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] => 4 [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] => 4 [1,1,1,0,0,0,1,1,0,0] => 3 [1,1,1,0,0,1,0,0,1,0] => 4 [1,1,1,0,0,1,0,1,0,0] => 4 [1,1,1,0,0,1,1,0,0,0] => 3 [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] => 3 [1,1,1,1,0,0,0,1,0,0] => 3 [1,1,1,1,0,0,1,0,0,0] => 3 [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] => 6 [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] => 5 [1,0,1,0,1,1,0,0,1,1,0,0] => 5 [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] => 5 [1,0,1,0,1,1,1,0,0,1,0,0] => 5 [1,0,1,0,1,1,1,0,1,0,0,0] => 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] => 6 [1,0,1,1,0,0,1,0,1,1,0,0] => 5 [1,0,1,1,0,0,1,1,0,0,1,0] => 5 [1,0,1,1,0,0,1,1,0,1,0,0] => 5 [1,0,1,1,0,0,1,1,1,0,0,0] => 4 [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] => 5 [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] => 5 [1,0,1,1,1,0,0,0,1,1,0,0] => 4 [1,0,1,1,1,0,0,1,0,0,1,0] => 5 [1,0,1,1,1,0,0,1,0,1,0,0] => 5 [1,0,1,1,1,0,0,1,1,0,0,0] => 4 [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] => 4 [1,0,1,1,1,1,0,0,0,1,0,0] => 4 [1,0,1,1,1,1,0,0,1,0,0,0] => 4 [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] => 6 [1,1,0,0,1,0,1,0,1,1,0,0] => 5 [1,1,0,0,1,0,1,1,0,0,1,0] => 5 [1,1,0,0,1,0,1,1,0,1,0,0] => 5 [1,1,0,0,1,0,1,1,1,0,0,0] => 4 [1,1,0,0,1,1,0,0,1,0,1,0] => 5 [1,1,0,0,1,1,0,0,1,1,0,0] => 4 [1,1,0,0,1,1,0,1,0,0,1,0] => 5 [1,1,0,0,1,1,0,1,0,1,0,0] => 5 [1,1,0,0,1,1,0,1,1,0,0,0] => 4 [1,1,0,0,1,1,1,0,0,0,1,0] => 4 [1,1,0,0,1,1,1,0,0,1,0,0] => 4 [1,1,0,0,1,1,1,0,1,0,0,0] => 4 [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] => 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] => 5 [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] => 5 [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] => 5 [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] => 5 [1,1,0,1,1,0,0,0,1,1,0,0] => 4 [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] => 4 [1,1,0,1,1,1,0,0,0,1,0,0] => 4 [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] => 5 [1,1,1,0,0,0,1,0,1,1,0,0] => 4 [1,1,1,0,0,0,1,1,0,0,1,0] => 4 [1,1,1,0,0,0,1,1,0,1,0,0] => 4 [1,1,1,0,0,0,1,1,1,0,0,0] => 3 [1,1,1,0,0,1,0,0,1,0,1,0] => 5 [1,1,1,0,0,1,0,0,1,1,0,0] => 4 [1,1,1,0,0,1,0,1,0,0,1,0] => 5 [1,1,1,0,0,1,0,1,0,1,0,0] => 4 [1,1,1,0,0,1,0,1,1,0,0,0] => 4 [1,1,1,0,0,1,1,0,0,0,1,0] => 4 [1,1,1,0,0,1,1,0,0,1,0,0] => 4 [1,1,1,0,0,1,1,0,1,0,0,0] => 4 [1,1,1,0,0,1,1,1,0,0,0,0] => 3 [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] => 4 [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] => 4 [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] => 4 [1,1,1,1,0,0,0,1,0,1,0,0] => 4 [1,1,1,1,0,0,0,1,1,0,0,0] => 3 [1,1,1,1,0,0,1,0,0,0,1,0] => 4 [1,1,1,1,0,0,1,0,0,1,0,0] => 4 [1,1,1,1,0,0,1,0,1,0,0,0] => 4 [1,1,1,1,0,0,1,1,0,0,0,0] => 3 [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] => 3 [1,1,1,1,1,0,0,0,0,1,0,0] => 3 [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] => 3 [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] => 7 [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] => 6 [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 6 [1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 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] => 6 [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 6 [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] => 6 [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 5 [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 6 [1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 5 [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 5 [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] => 6 [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] => 5 [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 5 [1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 5 [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 5 [1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 5 [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] => 5 [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 5 [1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 5 [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 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] => 7 [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 6 [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 6 [1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 6 [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 5 [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 6 [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 5 [1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 6 [1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 6 [1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 5 [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 5 [1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 5 [1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 5 [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4 [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] => 6 [1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 6 [1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 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] => 6 [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] => 6 [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] => 5 [1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 5 [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] => 5 [1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 5 [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] => 6 [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 5 [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 5 [1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 5 [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] => 6 [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 5 [1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 6 [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 5 [1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 5 [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 5 [1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 5 [1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 5 [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 4 [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] => 5 [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] => 5 [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 4 [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 5 [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 5 [1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 4 [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 5 [1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 5 [1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 5 [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 4 [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] => 4 [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 4 [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 4 [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 4 [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] => 7 [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 6 [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 6 [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 6 [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 5 [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 5 [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 5 [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 6 [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 6 [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 5 [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 5 [1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 5 [1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 5 [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 4 [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 6 [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 5 [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 5 [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 5 [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 4 [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 6 [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 5 [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 6 [1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 5 [1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 5 [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 5 [1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 5 [1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 5 [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 4 [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 5 [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] => 5 [1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 5 [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 4 [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 5 [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 5 [1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 5 [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 4 [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 4 [1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 4 [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 4 [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 4 [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 3 [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] => 6 [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 6 [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 5 [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 5 [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 5 [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] => 5 [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 5 [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] => 6 [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 6 [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 5 [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 6 [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 5 [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] => 5 [1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 5 [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] => 5 [1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 5 [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] => 5 [1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 5 [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] => 5 [1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 5 [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] => 6 [1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 5 [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 5 [1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 5 [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] => 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] => 5 [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] => 5 [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] => 5 [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] => 5 [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 4 [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 5 [1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 5 [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 4 [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] => 4 [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 4 [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 4 [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] => 6 [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 5 [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 5 [1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 5 [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 4 [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 5 [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 4 [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 5 [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 5 [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 4 [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] => 3 [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 6 [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 5 [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 5 [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 5 [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 4 [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 6 [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 5 [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 5 [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 5 [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 4 [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 5 [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 5 [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 4 [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 4 [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 5 [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 4 [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 5 [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 5 [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 4 [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 5 [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 5 [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 4 [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 4 [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 4 [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 4 [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 4 [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 4 [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] => 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] => 5 [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] => 5 [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] => 5 [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] => 5 [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] => 5 [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] => 5 [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] => 5 [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 4 [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] => 4 [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 4 [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] => 5 [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 4 [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 4 [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 4 [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 3 [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 5 [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 4 [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 5 [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 4 [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 4 [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 4 [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 4 [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 4 [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 3 [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 5 [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 4 [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 5 [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 4 [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 4 [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 5 [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 4 [1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 4 [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 4 [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 4 [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 4 [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 4 [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 4 [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 3 [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] => 4 [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] => 4 [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 3 [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 4 [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 4 [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] => 4 [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 4 [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 4 [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 3 [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 4 [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 4 [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 4 [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 4 [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 3 [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] => 3 [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 3 [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 3 [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] => 3 [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 ----------------------------------------------------------------------------- Created: Nov 21, 2019 at 10:07 by Rene Marczinzik ----------------------------------------------------------------------------- Last Updated: Nov 21, 2019 at 10:07 by Rene Marczinzik