***************************************************************************** * 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: St000026 ----------------------------------------------------------------------------- Collection: Dyck paths ----------------------------------------------------------------------------- Description: The position of the first return of a Dyck path. ----------------------------------------------------------------------------- References: [1] [[/DyckPaths#Statistics|Number of double rises of a Dyck path D]] ----------------------------------------------------------------------------- Code: def statistic(x): return x.position_of_first_return() ----------------------------------------------------------------------------- Statistic values: [1,0] => 1 [1,0,1,0] => 1 [1,1,0,0] => 2 [1,0,1,0,1,0] => 1 [1,0,1,1,0,0] => 1 [1,1,0,0,1,0] => 2 [1,1,0,1,0,0] => 3 [1,1,1,0,0,0] => 3 [1,0,1,0,1,0,1,0] => 1 [1,0,1,0,1,1,0,0] => 1 [1,0,1,1,0,0,1,0] => 1 [1,0,1,1,0,1,0,0] => 1 [1,0,1,1,1,0,0,0] => 1 [1,1,0,0,1,0,1,0] => 2 [1,1,0,0,1,1,0,0] => 2 [1,1,0,1,0,0,1,0] => 3 [1,1,0,1,0,1,0,0] => 4 [1,1,0,1,1,0,0,0] => 4 [1,1,1,0,0,0,1,0] => 3 [1,1,1,0,0,1,0,0] => 4 [1,1,1,0,1,0,0,0] => 4 [1,1,1,1,0,0,0,0] => 4 [1,0,1,0,1,0,1,0,1,0] => 1 [1,0,1,0,1,0,1,1,0,0] => 1 [1,0,1,0,1,1,0,0,1,0] => 1 [1,0,1,0,1,1,0,1,0,0] => 1 [1,0,1,0,1,1,1,0,0,0] => 1 [1,0,1,1,0,0,1,0,1,0] => 1 [1,0,1,1,0,0,1,1,0,0] => 1 [1,0,1,1,0,1,0,0,1,0] => 1 [1,0,1,1,0,1,0,1,0,0] => 1 [1,0,1,1,0,1,1,0,0,0] => 1 [1,0,1,1,1,0,0,0,1,0] => 1 [1,0,1,1,1,0,0,1,0,0] => 1 [1,0,1,1,1,0,1,0,0,0] => 1 [1,0,1,1,1,1,0,0,0,0] => 1 [1,1,0,0,1,0,1,0,1,0] => 2 [1,1,0,0,1,0,1,1,0,0] => 2 [1,1,0,0,1,1,0,0,1,0] => 2 [1,1,0,0,1,1,0,1,0,0] => 2 [1,1,0,0,1,1,1,0,0,0] => 2 [1,1,0,1,0,0,1,0,1,0] => 3 [1,1,0,1,0,0,1,1,0,0] => 3 [1,1,0,1,0,1,0,0,1,0] => 4 [1,1,0,1,0,1,0,1,0,0] => 5 [1,1,0,1,0,1,1,0,0,0] => 5 [1,1,0,1,1,0,0,0,1,0] => 4 [1,1,0,1,1,0,0,1,0,0] => 5 [1,1,0,1,1,0,1,0,0,0] => 5 [1,1,0,1,1,1,0,0,0,0] => 5 [1,1,1,0,0,0,1,0,1,0] => 3 [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] => 5 [1,1,1,0,0,1,1,0,0,0] => 5 [1,1,1,0,1,0,0,0,1,0] => 4 [1,1,1,0,1,0,0,1,0,0] => 5 [1,1,1,0,1,0,1,0,0,0] => 5 [1,1,1,0,1,1,0,0,0,0] => 5 [1,1,1,1,0,0,0,0,1,0] => 4 [1,1,1,1,0,0,0,1,0,0] => 5 [1,1,1,1,0,0,1,0,0,0] => 5 [1,1,1,1,0,1,0,0,0,0] => 5 [1,1,1,1,1,0,0,0,0,0] => 5 [1,0,1,0,1,0,1,0,1,0,1,0] => 1 [1,0,1,0,1,0,1,0,1,1,0,0] => 1 [1,0,1,0,1,0,1,1,0,0,1,0] => 1 [1,0,1,0,1,0,1,1,0,1,0,0] => 1 [1,0,1,0,1,0,1,1,1,0,0,0] => 1 [1,0,1,0,1,1,0,0,1,0,1,0] => 1 [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] => 1 [1,0,1,0,1,1,0,1,0,1,0,0] => 1 [1,0,1,0,1,1,0,1,1,0,0,0] => 1 [1,0,1,0,1,1,1,0,0,0,1,0] => 1 [1,0,1,0,1,1,1,0,0,1,0,0] => 1 [1,0,1,0,1,1,1,0,1,0,0,0] => 1 [1,0,1,0,1,1,1,1,0,0,0,0] => 1 [1,0,1,1,0,0,1,0,1,0,1,0] => 1 [1,0,1,1,0,0,1,0,1,1,0,0] => 1 [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] => 1 [1,0,1,1,0,1,0,0,1,0,1,0] => 1 [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] => 1 [1,0,1,1,0,1,0,1,0,1,0,0] => 1 [1,0,1,1,0,1,0,1,1,0,0,0] => 1 [1,0,1,1,0,1,1,0,0,0,1,0] => 1 [1,0,1,1,0,1,1,0,0,1,0,0] => 1 [1,0,1,1,0,1,1,0,1,0,0,0] => 1 [1,0,1,1,0,1,1,1,0,0,0,0] => 1 [1,0,1,1,1,0,0,0,1,0,1,0] => 1 [1,0,1,1,1,0,0,0,1,1,0,0] => 1 [1,0,1,1,1,0,0,1,0,0,1,0] => 1 [1,0,1,1,1,0,0,1,0,1,0,0] => 1 [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] => 1 [1,0,1,1,1,0,1,0,0,1,0,0] => 1 [1,0,1,1,1,0,1,0,1,0,0,0] => 1 [1,0,1,1,1,0,1,1,0,0,0,0] => 1 [1,0,1,1,1,1,0,0,0,0,1,0] => 1 [1,0,1,1,1,1,0,0,0,1,0,0] => 1 [1,0,1,1,1,1,0,0,1,0,0,0] => 1 [1,0,1,1,1,1,0,1,0,0,0,0] => 1 [1,0,1,1,1,1,1,0,0,0,0,0] => 1 [1,1,0,0,1,0,1,0,1,0,1,0] => 2 [1,1,0,0,1,0,1,0,1,1,0,0] => 2 [1,1,0,0,1,0,1,1,0,0,1,0] => 2 [1,1,0,0,1,0,1,1,0,1,0,0] => 2 [1,1,0,0,1,0,1,1,1,0,0,0] => 2 [1,1,0,0,1,1,0,0,1,0,1,0] => 2 [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] => 2 [1,1,0,0,1,1,0,1,0,1,0,0] => 2 [1,1,0,0,1,1,0,1,1,0,0,0] => 2 [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] => 2 [1,1,0,1,0,0,1,0,1,0,1,0] => 3 [1,1,0,1,0,0,1,0,1,1,0,0] => 3 [1,1,0,1,0,0,1,1,0,0,1,0] => 3 [1,1,0,1,0,0,1,1,0,1,0,0] => 3 [1,1,0,1,0,0,1,1,1,0,0,0] => 3 [1,1,0,1,0,1,0,0,1,0,1,0] => 4 [1,1,0,1,0,1,0,0,1,1,0,0] => 4 [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] => 6 [1,1,0,1,0,1,0,1,1,0,0,0] => 6 [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] => 6 [1,1,0,1,0,1,1,0,1,0,0,0] => 6 [1,1,0,1,0,1,1,1,0,0,0,0] => 6 [1,1,0,1,1,0,0,0,1,0,1,0] => 4 [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] => 6 [1,1,0,1,1,0,0,1,1,0,0,0] => 6 [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] => 6 [1,1,0,1,1,0,1,0,1,0,0,0] => 6 [1,1,0,1,1,0,1,1,0,0,0,0] => 6 [1,1,0,1,1,1,0,0,0,0,1,0] => 5 [1,1,0,1,1,1,0,0,0,1,0,0] => 6 [1,1,0,1,1,1,0,0,1,0,0,0] => 6 [1,1,0,1,1,1,0,1,0,0,0,0] => 6 [1,1,0,1,1,1,1,0,0,0,0,0] => 6 [1,1,1,0,0,0,1,0,1,0,1,0] => 3 [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] => 3 [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] => 3 [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] => 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] => 6 [1,1,1,0,0,1,0,1,1,0,0,0] => 6 [1,1,1,0,0,1,1,0,0,0,1,0] => 5 [1,1,1,0,0,1,1,0,0,1,0,0] => 6 [1,1,1,0,0,1,1,0,1,0,0,0] => 6 [1,1,1,0,0,1,1,1,0,0,0,0] => 6 [1,1,1,0,1,0,0,0,1,0,1,0] => 4 [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] => 6 [1,1,1,0,1,0,0,1,1,0,0,0] => 6 [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] => 6 [1,1,1,0,1,0,1,0,1,0,0,0] => 6 [1,1,1,0,1,0,1,1,0,0,0,0] => 6 [1,1,1,0,1,1,0,0,0,0,1,0] => 5 [1,1,1,0,1,1,0,0,0,1,0,0] => 6 [1,1,1,0,1,1,0,0,1,0,0,0] => 6 [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] => 6 [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] => 4 [1,1,1,1,0,0,0,1,0,0,1,0] => 5 [1,1,1,1,0,0,0,1,0,1,0,0] => 6 [1,1,1,1,0,0,0,1,1,0,0,0] => 6 [1,1,1,1,0,0,1,0,0,0,1,0] => 5 [1,1,1,1,0,0,1,0,0,1,0,0] => 6 [1,1,1,1,0,0,1,0,1,0,0,0] => 6 [1,1,1,1,0,0,1,1,0,0,0,0] => 6 [1,1,1,1,0,1,0,0,0,0,1,0] => 5 [1,1,1,1,0,1,0,0,0,1,0,0] => 6 [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] => 6 [1,1,1,1,0,1,1,0,0,0,0,0] => 6 [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] => 6 [1,1,1,1,1,0,0,0,1,0,0,0] => 6 [1,1,1,1,1,0,0,1,0,0,0,0] => 6 [1,1,1,1,1,0,1,0,0,0,0,0] => 6 [1,1,1,1,1,1,0,0,0,0,0,0] => 6 [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1 [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 1 [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 1 [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 1 [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 1 [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 1 [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] => 1 [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 1 [1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 1 [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 1 [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 1 [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 1 [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 1 [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 1 [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 1 [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] => 1 [1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 1 [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] => 1 [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 1 [1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 1 [1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 1 [1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 1 [1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 1 [1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 1 [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 1 [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 1 [1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 1 [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 1 [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] => 1 [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 1 [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 1 [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 1 [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 1 [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 1 [1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 1 [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 1 [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 1 [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 1 [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 1 [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 1 [1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 1 [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 1 [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] => 1 [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] => 1 [1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 1 [1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 1 [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 1 [1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 1 [1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 1 [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] => 1 [1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 1 [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] => 1 [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 1 [1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 1 [1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 1 [1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 1 [1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 1 [1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 1 [1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 1 [1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 1 [1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 1 [1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 1 [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] => 1 [1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 1 [1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 1 [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 1 [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 1 [1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 1 [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 1 [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 1 [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 1 [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 1 [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 1 [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 1 [1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 1 [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 1 [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 1 [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] => 1 [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 1 [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] => 1 [1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 1 [1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 1 [1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 1 [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 1 [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] => 1 [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 1 [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 1 [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 1 [1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 1 [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 1 [1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 1 [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 1 [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 1 [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 1 [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 1 [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 1 [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 1 [1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 1 [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 1 [1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 1 [1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 1 [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] => 1 [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 1 [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 1 [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 1 [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 1 [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 1 [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 1 [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 1 [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 1 [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 1 [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1 [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 2 [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2 [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2 [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2 [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2 [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2 [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2 [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 2 [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 2 [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 2 [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 2 [1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 2 [1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 2 [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 2 [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2 [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2 [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] => 2 [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 2 [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] => 2 [1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 2 [1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 2 [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 2 [1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 2 [1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 2 [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 2 [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] => 2 [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] => 2 [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] => 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] => 2 [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] => 3 [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 3 [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 3 [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 3 [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 3 [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 3 [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 3 [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 3 [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 3 [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 3 [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 3 [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 3 [1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 3 [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] => 4 [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 4 [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 4 [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 4 [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 4 [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] => 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] => 7 [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 7 [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 6 [1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 7 [1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 7 [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 7 [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] => 7 [1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 7 [1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 6 [1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 7 [1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 7 [1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 7 [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 6 [1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 7 [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 7 [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 7 [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 7 [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] => 4 [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 4 [1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 4 [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] => 5 [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] => 7 [1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 7 [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 6 [1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 7 [1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 7 [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 7 [1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 5 [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] => 7 [1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 7 [1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 6 [1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 7 [1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 7 [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 7 [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 6 [1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 7 [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 7 [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 7 [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 7 [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] => 5 [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 6 [1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 7 [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 7 [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 6 [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 7 [1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 7 [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 7 [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 6 [1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 7 [1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 7 [1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 7 [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 7 [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 6 [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 7 [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 7 [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 7 [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 7 [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 7 [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 3 [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 3 [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] => 3 [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] => 3 [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 3 [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 3 [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] => 3 [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3 [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] => 3 [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 4 [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] => 4 [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] => 4 [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] => 5 [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 6 [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 7 [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 7 [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 6 [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 7 [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 7 [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 7 [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] => 5 [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 6 [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 7 [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 7 [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 6 [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 7 [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 7 [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 7 [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 6 [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 7 [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 7 [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 7 [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 7 [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 4 [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 4 [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] => 4 [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] => 5 [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] => 6 [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 7 [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 7 [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 6 [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 7 [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 7 [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 7 [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 5 [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] => 6 [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 7 [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 7 [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 6 [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 7 [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 7 [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 7 [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 6 [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 7 [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 7 [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 7 [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 7 [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] => 5 [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 6 [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 7 [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 7 [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 6 [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 7 [1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 7 [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 7 [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 6 [1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 7 [1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 7 [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 7 [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 7 [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 6 [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 7 [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 7 [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 7 [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 7 [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 7 [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] => 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] => 4 [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] => 5 [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 6 [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 7 [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 7 [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 6 [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 7 [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 7 [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 7 [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] => 5 [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 6 [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 7 [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 7 [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 6 [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 7 [1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 7 [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 7 [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 6 [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 7 [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 7 [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 7 [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 7 [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] => 5 [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 6 [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 7 [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 7 [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 6 [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 7 [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 7 [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 7 [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 6 [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 7 [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 7 [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 7 [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 7 [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 6 [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 7 [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 7 [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 7 [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 7 [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 7 [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 5 [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 5 [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 6 [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 7 [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 7 [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 6 [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 7 [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 7 [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 7 [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 6 [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 7 [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 7 [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 7 [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 7 [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 6 [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 7 [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 7 [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 7 [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 7 [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 7 [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] => 7 [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 7 [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 7 [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 7 [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 7 [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 7 ----------------------------------------------------------------------------- Created: May 22, 2012 at 09:09 by Christian Stump ----------------------------------------------------------------------------- Last Updated: Oct 17, 2015 at 14:08 by Christian Stump