***************************************************************************** * 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: St000439 ----------------------------------------------------------------------------- Collection: Dyck paths ----------------------------------------------------------------------------- Description: The position of the first down step of a Dyck path. ----------------------------------------------------------------------------- References: ----------------------------------------------------------------------------- Code: def statistic(D): if D: return D.index(0)+1 ----------------------------------------------------------------------------- Statistic values: [1,0] => 2 [1,0,1,0] => 2 [1,1,0,0] => 3 [1,0,1,0,1,0] => 2 [1,0,1,1,0,0] => 2 [1,1,0,0,1,0] => 3 [1,1,0,1,0,0] => 3 [1,1,1,0,0,0] => 4 [1,0,1,0,1,0,1,0] => 2 [1,0,1,0,1,1,0,0] => 2 [1,0,1,1,0,0,1,0] => 2 [1,0,1,1,0,1,0,0] => 2 [1,0,1,1,1,0,0,0] => 2 [1,1,0,0,1,0,1,0] => 3 [1,1,0,0,1,1,0,0] => 3 [1,1,0,1,0,0,1,0] => 3 [1,1,0,1,0,1,0,0] => 3 [1,1,0,1,1,0,0,0] => 3 [1,1,1,0,0,0,1,0] => 4 [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] => 5 [1,0,1,0,1,0,1,0,1,0] => 2 [1,0,1,0,1,0,1,1,0,0] => 2 [1,0,1,0,1,1,0,0,1,0] => 2 [1,0,1,0,1,1,0,1,0,0] => 2 [1,0,1,0,1,1,1,0,0,0] => 2 [1,0,1,1,0,0,1,0,1,0] => 2 [1,0,1,1,0,0,1,1,0,0] => 2 [1,0,1,1,0,1,0,0,1,0] => 2 [1,0,1,1,0,1,0,1,0,0] => 2 [1,0,1,1,0,1,1,0,0,0] => 2 [1,0,1,1,1,0,0,0,1,0] => 2 [1,0,1,1,1,0,0,1,0,0] => 2 [1,0,1,1,1,0,1,0,0,0] => 2 [1,0,1,1,1,1,0,0,0,0] => 2 [1,1,0,0,1,0,1,0,1,0] => 3 [1,1,0,0,1,0,1,1,0,0] => 3 [1,1,0,0,1,1,0,0,1,0] => 3 [1,1,0,0,1,1,0,1,0,0] => 3 [1,1,0,0,1,1,1,0,0,0] => 3 [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] => 3 [1,1,0,1,0,1,0,1,0,0] => 3 [1,1,0,1,0,1,1,0,0,0] => 3 [1,1,0,1,1,0,0,0,1,0] => 3 [1,1,0,1,1,0,0,1,0,0] => 3 [1,1,0,1,1,0,1,0,0,0] => 3 [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] => 4 [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] => 4 [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] => 4 [1,1,1,1,0,0,0,0,1,0] => 5 [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] => 6 [1,0,1,0,1,0,1,0,1,0,1,0] => 2 [1,0,1,0,1,0,1,0,1,1,0,0] => 2 [1,0,1,0,1,0,1,1,0,0,1,0] => 2 [1,0,1,0,1,0,1,1,0,1,0,0] => 2 [1,0,1,0,1,0,1,1,1,0,0,0] => 2 [1,0,1,0,1,1,0,0,1,0,1,0] => 2 [1,0,1,0,1,1,0,0,1,1,0,0] => 2 [1,0,1,0,1,1,0,1,0,0,1,0] => 2 [1,0,1,0,1,1,0,1,0,1,0,0] => 2 [1,0,1,0,1,1,0,1,1,0,0,0] => 2 [1,0,1,0,1,1,1,0,0,0,1,0] => 2 [1,0,1,0,1,1,1,0,0,1,0,0] => 2 [1,0,1,0,1,1,1,0,1,0,0,0] => 2 [1,0,1,0,1,1,1,1,0,0,0,0] => 2 [1,0,1,1,0,0,1,0,1,0,1,0] => 2 [1,0,1,1,0,0,1,0,1,1,0,0] => 2 [1,0,1,1,0,0,1,1,0,0,1,0] => 2 [1,0,1,1,0,0,1,1,0,1,0,0] => 2 [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] => 2 [1,0,1,1,0,1,0,0,1,1,0,0] => 2 [1,0,1,1,0,1,0,1,0,0,1,0] => 2 [1,0,1,1,0,1,0,1,0,1,0,0] => 2 [1,0,1,1,0,1,0,1,1,0,0,0] => 2 [1,0,1,1,0,1,1,0,0,0,1,0] => 2 [1,0,1,1,0,1,1,0,0,1,0,0] => 2 [1,0,1,1,0,1,1,0,1,0,0,0] => 2 [1,0,1,1,0,1,1,1,0,0,0,0] => 2 [1,0,1,1,1,0,0,0,1,0,1,0] => 2 [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] => 2 [1,0,1,1,1,0,0,1,0,1,0,0] => 2 [1,0,1,1,1,0,0,1,1,0,0,0] => 2 [1,0,1,1,1,0,1,0,0,0,1,0] => 2 [1,0,1,1,1,0,1,0,0,1,0,0] => 2 [1,0,1,1,1,0,1,0,1,0,0,0] => 2 [1,0,1,1,1,0,1,1,0,0,0,0] => 2 [1,0,1,1,1,1,0,0,0,0,1,0] => 2 [1,0,1,1,1,1,0,0,0,1,0,0] => 2 [1,0,1,1,1,1,0,0,1,0,0,0] => 2 [1,0,1,1,1,1,0,1,0,0,0,0] => 2 [1,0,1,1,1,1,1,0,0,0,0,0] => 2 [1,1,0,0,1,0,1,0,1,0,1,0] => 3 [1,1,0,0,1,0,1,0,1,1,0,0] => 3 [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] => 3 [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] => 3 [1,1,0,0,1,1,0,1,0,0,1,0] => 3 [1,1,0,0,1,1,0,1,0,1,0,0] => 3 [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] => 3 [1,1,0,0,1,1,1,0,0,1,0,0] => 3 [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] => 3 [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] => 3 [1,1,0,1,0,1,0,0,1,1,0,0] => 3 [1,1,0,1,0,1,0,1,0,0,1,0] => 3 [1,1,0,1,0,1,0,1,0,1,0,0] => 3 [1,1,0,1,0,1,0,1,1,0,0,0] => 3 [1,1,0,1,0,1,1,0,0,0,1,0] => 3 [1,1,0,1,0,1,1,0,0,1,0,0] => 3 [1,1,0,1,0,1,1,0,1,0,0,0] => 3 [1,1,0,1,0,1,1,1,0,0,0,0] => 3 [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] => 3 [1,1,0,1,1,0,0,1,0,1,0,0] => 3 [1,1,0,1,1,0,0,1,1,0,0,0] => 3 [1,1,0,1,1,0,1,0,0,0,1,0] => 3 [1,1,0,1,1,0,1,0,0,1,0,0] => 3 [1,1,0,1,1,0,1,0,1,0,0,0] => 3 [1,1,0,1,1,0,1,1,0,0,0,0] => 3 [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] => 3 [1,1,0,1,1,1,0,1,0,0,0,0] => 3 [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] => 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] => 4 [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] => 4 [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] => 4 [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] => 4 [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] => 4 [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] => 4 [1,1,1,1,0,0,0,0,1,0,1,0] => 5 [1,1,1,1,0,0,0,0,1,1,0,0] => 5 [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] => 5 [1,1,1,1,0,0,0,1,1,0,0,0] => 5 [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] => 5 [1,1,1,1,0,0,1,0,1,0,0,0] => 5 [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] => 5 [1,1,1,1,0,1,0,0,0,1,0,0] => 5 [1,1,1,1,0,1,0,0,1,0,0,0] => 5 [1,1,1,1,0,1,0,1,0,0,0,0] => 5 [1,1,1,1,0,1,1,0,0,0,0,0] => 5 [1,1,1,1,1,0,0,0,0,0,1,0] => 6 [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] => 7 [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 2 [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 2 [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 2 [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 2 [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 2 [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 2 [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 2 [1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 2 [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 2 [1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 2 [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 2 [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 2 [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 2 [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 2 [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 2 [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 2 [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 2 [1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 2 [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] => 2 [1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 2 [1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 2 [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 2 [1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 2 [1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 2 [1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 2 [1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 2 [1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 2 [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 2 [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] => 2 [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 2 [1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 2 [1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 2 [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 2 [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 2 [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 2 [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 2 [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 2 [1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 2 [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 2 [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 2 [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 2 [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 2 [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 2 [1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 2 [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 2 [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 2 [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] => 2 [1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 2 [1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 2 [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] => 2 [1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 2 [1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 2 [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 2 [1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 2 [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] => 2 [1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 2 [1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 2 [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 2 [1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 2 [1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 2 [1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 2 [1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 2 [1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 2 [1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 2 [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] => 2 [1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 2 [1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 2 [1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 2 [1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 2 [1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 2 [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 2 [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 2 [1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 2 [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 2 [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 2 [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 2 [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 2 [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 2 [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] => 2 [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 2 [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 2 [1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 2 [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 2 [1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 2 [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 2 [1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 2 [1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 2 [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] => 2 [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] => 2 [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 2 [1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 2 [1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 2 [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 2 [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 2 [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 2 [1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 2 [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 2 [1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 2 [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 2 [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 2 [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 2 [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 2 [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 2 [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 2 [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] => 2 [1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 2 [1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 2 [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 2 [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 2 [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 2 [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 2 [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 2 [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 2 [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 2 [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 2 [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 2 [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 2 [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 2 [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 2 [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 3 [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 3 [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 3 [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 3 [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 3 [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] => 3 [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 3 [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 3 [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] => 3 [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] => 3 [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] => 3 [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] => 3 [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 3 [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 3 [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 3 [1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 3 [1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 3 [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] => 3 [1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 3 [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] => 3 [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] => 3 [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 3 [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 3 [1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 3 [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] => 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] => 3 [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] => 3 [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 3 [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 3 [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 3 [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 3 [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 3 [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 3 [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 3 [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 3 [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 3 [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 3 [1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 3 [1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 3 [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 3 [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 3 [1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 3 [1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 3 [1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 3 [1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 3 [1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 3 [1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 3 [1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 3 [1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 3 [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 3 [1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 3 [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 3 [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 3 [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 3 [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 3 [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] => 3 [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 3 [1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 3 [1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 3 [1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 3 [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 3 [1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 3 [1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 3 [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 3 [1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 3 [1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 3 [1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 3 [1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 3 [1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 3 [1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 3 [1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 3 [1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 3 [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 3 [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 3 [1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 3 [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 3 [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 3 [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 3 [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] => 3 [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 3 [1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 3 [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 3 [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 3 [1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 3 [1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 3 [1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 3 [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 3 [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] => 3 [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 3 [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] => 4 [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] => 4 [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] => 4 [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 4 [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] => 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] => 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] => 4 [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] => 4 [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] => 4 [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 4 [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] => 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] => 4 [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] => 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] => 4 [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] => 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] => 4 [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] => 4 [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 4 [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] => 4 [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] => 4 [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] => 4 [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 4 [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] => 4 [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] => 4 [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] => 4 [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] => 4 [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] => 4 [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 4 [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] => 4 [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 4 [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] => 4 [1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 4 [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] => 4 [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] => 5 [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 5 [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 5 [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 5 [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] => 5 [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 5 [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 5 [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 5 [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 5 [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 5 [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 5 [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] => 5 [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 5 [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 5 [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] => 5 [1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 5 [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 5 [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 5 [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 5 [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 5 [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 5 [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 5 [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] => 5 [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 5 [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 5 [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] => 5 [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 5 [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 5 [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] => 5 [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 5 [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 5 [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 5 [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 5 [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 5 [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 5 [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 5 [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 5 [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 5 [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 6 [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 6 [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] => 6 [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 6 [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] => 6 [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 6 [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 6 [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] => 6 [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 6 [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 6 [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 6 [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] => 6 [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 6 [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] => 6 [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 6 [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 7 [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] => 8 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 2 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 2 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 2 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 2 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 2 [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 2 [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 2 [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 2 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 2 [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 2 [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 2 [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 2 [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 2 [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 2 [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 2 [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 2 [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 2 [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 2 [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 2 [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 2 [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 2 [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 2 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 2 [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 2 [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 2 [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 2 [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 2 [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 2 [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 2 [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 2 [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 2 [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 2 [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 2 [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 2 [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 2 [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 2 [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 2 [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 2 [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 2 [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 2 [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 2 [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 2 [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 2 [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 2 [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 2 [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 2 [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 2 [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 2 [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 2 [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 2 [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 2 [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 2 [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 2 [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 2 [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 2 [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 2 [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 2 [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 2 [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 2 [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 2 [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 2 [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 2 [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 2 [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 2 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 2 [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 2 [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 2 [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 2 [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 2 [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 2 [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 2 [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 2 [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 2 [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 2 [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 2 [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 2 [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 2 [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 2 [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 2 [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 2 [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 2 [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 2 [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 2 [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 2 [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 2 [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 2 [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 2 [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 2 [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 2 [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 2 [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 2 [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 2 [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 2 [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 2 [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 2 [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 2 [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 2 [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 2 [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 2 [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 2 [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 2 [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 2 [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 2 [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 2 [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 2 [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 2 [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 2 [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 2 [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 2 [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 2 [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 2 [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 2 [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 2 [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 2 [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 2 [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 2 [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 2 [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 2 [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 2 [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 2 [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 2 [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 2 [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 2 [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 2 [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 2 [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 2 [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 2 [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 2 [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 2 [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 2 [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 2 [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 2 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 2 [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2 [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2 [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2 [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2 [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2 [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2 [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 2 [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 2 [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 2 [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 2 [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 2 [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 2 [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 2 [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2 [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2 [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 2 [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 2 [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 2 [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 2 [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 2 [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 2 [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 2 [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 2 [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 2 [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 2 [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 2 [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 2 [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 2 [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 2 [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 2 [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 2 [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 2 [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 2 [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 2 [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 2 [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 2 [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 2 [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 2 [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 2 [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 2 [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2 [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2 [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2 [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 2 [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 2 [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2 [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2 [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 2 [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 2 [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 2 [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 2 [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 2 [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 2 [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2 [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 2 [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2 [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2 [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 2 [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 2 [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 2 [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 2 [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 2 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 2 [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 2 [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 2 [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 2 [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 2 [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 2 [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 2 [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 2 [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 2 [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 2 [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 2 [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 2 [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 2 [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 2 [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 2 [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 2 [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 2 [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 2 [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 2 [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 2 [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 2 [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 2 [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 2 [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 2 [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2 [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 2 [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 2 [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 2 [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 2 [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 2 [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 2 [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 2 [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 2 [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 2 [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 2 [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 2 [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 2 [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 2 [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 2 [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 2 [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 2 [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 2 [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 2 [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 2 [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 2 [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 2 [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 2 [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 2 [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 2 [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2 [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 2 [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 2 [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 2 [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 2 [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 2 [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 2 [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 2 [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 2 [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 2 [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 2 [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 2 [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 2 [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2 [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 2 [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 2 [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 2 [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 2 [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 2 [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 2 [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 2 [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 2 [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 2 [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 2 [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 2 [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 2 [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 2 [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 2 [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 2 [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 2 [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 2 [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 2 [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 2 [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 2 [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 2 [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2 [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 2 [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2 [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 2 [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 2 [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 2 [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 2 [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 2 [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 2 [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 2 [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 2 [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 2 [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 2 [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2 [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 2 [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 2 [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 2 [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 2 [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 2 [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 2 [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 2 [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2 [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 2 [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 2 [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 2 [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 2 [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 2 [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 2 [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 2 [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 2 [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2 [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 2 [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 2 [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 2 [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 2 [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 2 [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 2 [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 2 [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 2 [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2 [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 2 [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 2 [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 2 [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 2 [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 2 [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 2 [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 2 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 2 [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 2 [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 2 [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 2 [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 2 [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 2 [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 2 [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 2 [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2 [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 2 [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 2 [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 2 [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 2 [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 2 [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 2 [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 2 [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 2 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 2 [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 2 [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 2 [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 2 [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 2 [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 2 [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 2 [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 2 [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 2 [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 2 [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 2 [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 2 [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 2 [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 2 [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 2 [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 2 [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2 [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 2 [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 2 [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 2 [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2 [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 2 [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 2 [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 2 [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 2 [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2 [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 2 [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 2 [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 2 [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 2 [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 2 [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 2 [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 2 [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 2 [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 2 [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 2 [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 2 [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 2 [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 2 [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 2 [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 2 [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 2 [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 2 [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 2 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 2 [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 2 [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 2 [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 2 [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 2 [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 2 [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 2 [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 2 [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 2 [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 2 [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 2 [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 2 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 2 [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 2 [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 2 [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 2 [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 2 [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 2 [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 2 [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 2 [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 2 [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 2 [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 2 [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 2 [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 2 [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 2 [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 2 [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 2 [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2 [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 2 [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 2 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 2 [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 2 [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 2 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2 [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 2 [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 2 [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 2 [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 2 [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 2 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 2 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 3 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 3 [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 3 [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 3 [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 3 [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 3 [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 3 [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => 3 [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => 3 [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => 3 [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 3 [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => 3 [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => 3 [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 3 [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 3 [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 3 [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 3 [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => 3 [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 3 [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => 3 [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => 3 [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => 3 [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => 3 [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => 3 [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => 3 [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => 3 [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => 3 [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => 3 [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 3 [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 3 [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => 3 [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => 3 [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => 3 [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => 3 [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => 3 [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => 3 [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => 3 [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 3 [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => 3 [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => 3 [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => 3 [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 3 [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 3 [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 3 [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 3 [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => 3 [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 3 [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3 [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3 [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => 3 [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => 3 [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 3 [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3 [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => 3 [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 3 [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 3 [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 3 [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3 [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 3 [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 3 [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 3 [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 3 [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => 3 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => 3 [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => 3 [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => 3 [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => 3 [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => 3 [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => 3 [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 3 [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 3 [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 3 [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => 3 [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => 3 [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => 3 [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => 3 [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => 3 [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => 3 [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => 3 [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => 3 [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => 3 [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => 3 [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => 3 [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 3 [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 3 [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3 [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 3 [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 3 [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3 [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3 [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3 [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => 3 [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => 3 [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 3 [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 3 [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => 3 [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => 3 [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 3 [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 3 [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 3 [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => 3 [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => 3 [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => 3 [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => 3 [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => 3 [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => 3 [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => 3 [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => 3 [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => 3 [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => 3 [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => 3 [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 3 [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 3 [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 3 [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => 3 [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => 3 [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 3 [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 3 [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => 3 [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => 3 [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => 3 [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => 3 [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => 3 [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => 3 [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => 3 [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 3 [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => 3 [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => 3 [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => 3 [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => 3 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 3 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 3 [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => 3 [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => 3 [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => 3 [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => 3 [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 3 [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 3 [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 3 [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => 3 [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => 3 [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 3 [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 3 [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => 3 [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => 3 [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3 [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => 3 [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 3 [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3 [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => 3 [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 3 [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => 3 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 3 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 3 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 3 [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => 3 [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => 3 [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => 3 [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => 3 [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => 3 [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => 3 [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => 3 [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => 3 [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => 3 [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3 [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => 3 [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => 3 [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => 3 [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => 3 [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => 3 [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => 3 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 4 [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => 4 [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => 4 [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => 4 [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => 4 [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => 4 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => 4 [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => 4 [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 4 [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => 4 [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => 4 [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4 [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => 4 [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => 4 [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => 4 [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => 4 [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => 4 [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => 4 [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => 4 [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => 4 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 4 [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => 4 [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => 4 [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => 4 [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0] => 4 [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => 4 [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] => 4 [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => 4 [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] => 4 [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0] => 4 [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => 4 [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] => 4 [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] => 4 [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => 4 [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => 4 [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5 [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => 5 [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => 5 [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => 5 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5 [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => 5 [1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0] => 5 [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => 5 [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0] => 5 [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] => 5 [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => 5 [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] => 5 [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => 5 [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => 5 [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => 5 [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] => 5 [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => 5 [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => 5 [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => 5 [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => 6 [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => 6 [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => 6 [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => 6 [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => 6 [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => 6 [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => 6 [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] => 6 [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => 6 [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => 6 [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0] => 6 [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => 6 [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => 6 [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => 6 [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => 6 [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] => 6 [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => 6 [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => 6 [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => 6 [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => 6 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => 7 [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => 7 [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => 7 [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => 7 [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => 7 [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => 7 [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] => 7 [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => 7 [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => 7 [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => 7 [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 7 [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => 7 [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => 7 [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => 7 [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => 7 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => 7 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 8 [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => 8 [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => 8 [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => 8 [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => 8 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => 8 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => 8 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 9 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 9 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 2 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] => 8 [1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => 2 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => 8 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0] => 7 [1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => 2 [1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => 2 [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0] => 6 [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0] => 7 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] => 8 [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 3 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 2 [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0] => 7 [1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 3 [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 2 [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0] => 7 [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0] => 6 [1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 3 [1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 3 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 3 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 3 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => 3 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => 3 [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => 3 [1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => 3 [1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => 3 [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 3 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 4 [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => 4 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => 4 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 4 [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 4 [1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => 6 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0] => 7 [1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0] => 7 [1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => 7 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0] => 8 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0] => 8 [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => 8 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => 9 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => 9 [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => 9 [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => 9 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 10 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 2 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 2 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 2 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 2 [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 2 [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 2 [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 2 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => 2 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => 2 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 3 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 3 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 3 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 3 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 4 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 3 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 3 [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 3 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 3 [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 3 [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 2 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 3 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => 4 [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => 4 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 4 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 2 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => 3 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 3 [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2 [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0] => 2 [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => 2 [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => 2 [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 2 [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 2 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => 10 [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 2 [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0] => 9 [1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => 2 [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0] => 8 [1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => 2 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] => 9 [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 3 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 2 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0] => 8 [1,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => 3 [1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 2 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 2 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 2 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 3 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 4 [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 2 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => 2 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 3 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 3 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 4 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => 11 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 3 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 3 [1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => 10 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 3 [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 3 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => 10 [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0] => 9 [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => 10 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 4 [1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => 2 [1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => 2 [1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => 2 [1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => 2 [1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => 2 [1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => 2 [1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => 2 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => 2 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => 2 [1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => 2 [1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => 2 [1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => 2 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => 2 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => 2 [1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 3 [1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 3 [1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 3 [1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 3 [1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 3 [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => 3 [1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => 3 [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => 4 [1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 4 [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => 3 [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => 3 [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 4 [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => 4 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => 5 [1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => 3 [1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => 3 [1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => 3 [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => 3 [1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0] => 3 [1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => 4 [1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => 4 [1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => 4 [1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => 5 [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => 4 [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => 4 [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => 5 [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => 5 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 6 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => 4 [1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0] => 8 [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0] => 2 [1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 2 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => 11 [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => 2 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 2 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 2 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 3 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 3 [1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0] => 11 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0] => 11 [1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0] => 11 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 4 [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] => 12 [1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 3 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0] => 10 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0] => 2 [1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 2 [1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => 2 [1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0] => 2 [1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0] => 2 [1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0] => 2 [1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0] => 2 [1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0] => 2 [1,0,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0] => 2 [1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0] => 2 [1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => 2 [1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0] => 2 [1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0] => 2 [1,0,1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0] => 2 [1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0] => 2 [1,0,1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0] => 2 [1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => 2 [1,0,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => 2 [1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => 2 [1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => 2 [1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => 2 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => 2 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0] => 2 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => 2 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => 2 [1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0] => 2 [1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0] => 2 [1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => 2 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0] => 2 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => 2 [1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0] => 2 [1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0] => 2 [1,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => 2 [1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0] => 2 [1,0,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0] => 2 [1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => 2 [1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => 2 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0] => 2 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => 2 [1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0] => 2 [1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0] => 2 [1,0,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => 2 [1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => 2 [1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => 2 [1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => 3 [1,1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => 3 [1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => 3 [1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => 3 [1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => 3 [1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => 3 [1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => 3 [1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => 3 [1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => 3 [1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => 3 [1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => 3 [1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => 3 [1,1,0,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => 3 [1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => 3 [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 3 [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 3 [1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 3 [1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 3 [1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 3 [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 4 [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 4 [1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 4 [1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 4 [1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 4 [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0] => 3 [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0] => 3 [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => 3 [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => 3 [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => 4 [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => 4 [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => 4 [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 4 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => 5 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 5 [1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0] => 3 [1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0] => 3 [1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => 3 [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0] => 3 [1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => 3 [1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => 4 [1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => 4 [1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 4 [1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 5 [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0] => 4 [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => 4 [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => 5 [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => 5 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => 6 [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0] => 3 [1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0] => 3 [1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0] => 3 [1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0] => 3 [1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0] => 3 [1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => 3 [1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => 3 [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0] => 3 [1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => 3 [1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0] => 3 [1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0] => 3 [1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => 3 [1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0] => 3 [1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0] => 3 [1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => 4 [1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => 4 [1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => 4 [1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => 4 [1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0] => 4 [1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => 4 [1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => 4 [1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => 5 [1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => 5 [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0] => 4 [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => 4 [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => 5 [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => 5 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => 6 [1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0] => 4 [1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0] => 4 [1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => 4 [1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0] => 4 [1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0] => 4 [1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => 5 [1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => 5 [1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => 5 [1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => 6 [1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0] => 5 [1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0] => 5 [1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => 6 [1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0] => 6 [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7 ----------------------------------------------------------------------------- Created: Feb 28, 2016 at 08:51 by Christian Stump ----------------------------------------------------------------------------- Last Updated: Dec 12, 2018 at 23:54 by Martin Rubey