***************************************************************************** * 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: St000920 ----------------------------------------------------------------------------- Collection: Dyck paths ----------------------------------------------------------------------------- Description: The logarithmic height of a Dyck path. This is the floor of the binary logarithm of the usual height increased by one: $$ \lfloor\log_2(1+height(D))\rfloor $$ ----------------------------------------------------------------------------- References: [1] Françon, J. Sur le nombre de registres nécessaires à l'évaluation d'une expression arithmétique [[MathSciNet:0775838]] ----------------------------------------------------------------------------- Code: def statistic(D): return floor(log(1+D.height(), 2)) ----------------------------------------------------------------------------- Statistic values: [] => 0 [1,0] => 1 [1,0,1,0] => 1 [1,1,0,0] => 1 [1,0,1,0,1,0] => 1 [1,0,1,1,0,0] => 1 [1,1,0,0,1,0] => 1 [1,1,0,1,0,0] => 1 [1,1,1,0,0,0] => 2 [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] => 2 [1,1,0,0,1,0,1,0] => 1 [1,1,0,0,1,1,0,0] => 1 [1,1,0,1,0,0,1,0] => 1 [1,1,0,1,0,1,0,0] => 1 [1,1,0,1,1,0,0,0] => 2 [1,1,1,0,0,0,1,0] => 2 [1,1,1,0,0,1,0,0] => 2 [1,1,1,0,1,0,0,0] => 2 [1,1,1,1,0,0,0,0] => 2 [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] => 2 [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] => 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] => 1 [1,1,0,0,1,0,1,1,0,0] => 1 [1,1,0,0,1,1,0,0,1,0] => 1 [1,1,0,0,1,1,0,1,0,0] => 1 [1,1,0,0,1,1,1,0,0,0] => 2 [1,1,0,1,0,0,1,0,1,0] => 1 [1,1,0,1,0,0,1,1,0,0] => 1 [1,1,0,1,0,1,0,0,1,0] => 1 [1,1,0,1,0,1,0,1,0,0] => 1 [1,1,0,1,0,1,1,0,0,0] => 2 [1,1,0,1,1,0,0,0,1,0] => 2 [1,1,0,1,1,0,0,1,0,0] => 2 [1,1,0,1,1,0,1,0,0,0] => 2 [1,1,0,1,1,1,0,0,0,0] => 2 [1,1,1,0,0,0,1,0,1,0] => 2 [1,1,1,0,0,0,1,1,0,0] => 2 [1,1,1,0,0,1,0,0,1,0] => 2 [1,1,1,0,0,1,0,1,0,0] => 2 [1,1,1,0,0,1,1,0,0,0] => 2 [1,1,1,0,1,0,0,0,1,0] => 2 [1,1,1,0,1,0,0,1,0,0] => 2 [1,1,1,0,1,0,1,0,0,0] => 2 [1,1,1,0,1,1,0,0,0,0] => 2 [1,1,1,1,0,0,0,0,1,0] => 2 [1,1,1,1,0,0,0,1,0,0] => 2 [1,1,1,1,0,0,1,0,0,0] => 2 [1,1,1,1,0,1,0,0,0,0] => 2 [1,1,1,1,1,0,0,0,0,0] => 2 [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] => 2 [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] => 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] => 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] => 2 [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] => 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] => 1 [1,1,0,0,1,0,1,0,1,1,0,0] => 1 [1,1,0,0,1,0,1,1,0,0,1,0] => 1 [1,1,0,0,1,0,1,1,0,1,0,0] => 1 [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] => 1 [1,1,0,0,1,1,0,0,1,1,0,0] => 1 [1,1,0,0,1,1,0,1,0,0,1,0] => 1 [1,1,0,0,1,1,0,1,0,1,0,0] => 1 [1,1,0,0,1,1,0,1,1,0,0,0] => 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] => 1 [1,1,0,1,0,0,1,0,1,1,0,0] => 1 [1,1,0,1,0,0,1,1,0,0,1,0] => 1 [1,1,0,1,0,0,1,1,0,1,0,0] => 1 [1,1,0,1,0,0,1,1,1,0,0,0] => 2 [1,1,0,1,0,1,0,0,1,0,1,0] => 1 [1,1,0,1,0,1,0,0,1,1,0,0] => 1 [1,1,0,1,0,1,0,1,0,0,1,0] => 1 [1,1,0,1,0,1,0,1,0,1,0,0] => 1 [1,1,0,1,0,1,0,1,1,0,0,0] => 2 [1,1,0,1,0,1,1,0,0,0,1,0] => 2 [1,1,0,1,0,1,1,0,0,1,0,0] => 2 [1,1,0,1,0,1,1,0,1,0,0,0] => 2 [1,1,0,1,0,1,1,1,0,0,0,0] => 2 [1,1,0,1,1,0,0,0,1,0,1,0] => 2 [1,1,0,1,1,0,0,0,1,1,0,0] => 2 [1,1,0,1,1,0,0,1,0,0,1,0] => 2 [1,1,0,1,1,0,0,1,0,1,0,0] => 2 [1,1,0,1,1,0,0,1,1,0,0,0] => 2 [1,1,0,1,1,0,1,0,0,0,1,0] => 2 [1,1,0,1,1,0,1,0,0,1,0,0] => 2 [1,1,0,1,1,0,1,0,1,0,0,0] => 2 [1,1,0,1,1,0,1,1,0,0,0,0] => 2 [1,1,0,1,1,1,0,0,0,0,1,0] => 2 [1,1,0,1,1,1,0,0,0,1,0,0] => 2 [1,1,0,1,1,1,0,0,1,0,0,0] => 2 [1,1,0,1,1,1,0,1,0,0,0,0] => 2 [1,1,0,1,1,1,1,0,0,0,0,0] => 2 [1,1,1,0,0,0,1,0,1,0,1,0] => 2 [1,1,1,0,0,0,1,0,1,1,0,0] => 2 [1,1,1,0,0,0,1,1,0,0,1,0] => 2 [1,1,1,0,0,0,1,1,0,1,0,0] => 2 [1,1,1,0,0,0,1,1,1,0,0,0] => 2 [1,1,1,0,0,1,0,0,1,0,1,0] => 2 [1,1,1,0,0,1,0,0,1,1,0,0] => 2 [1,1,1,0,0,1,0,1,0,0,1,0] => 2 [1,1,1,0,0,1,0,1,0,1,0,0] => 2 [1,1,1,0,0,1,0,1,1,0,0,0] => 2 [1,1,1,0,0,1,1,0,0,0,1,0] => 2 [1,1,1,0,0,1,1,0,0,1,0,0] => 2 [1,1,1,0,0,1,1,0,1,0,0,0] => 2 [1,1,1,0,0,1,1,1,0,0,0,0] => 2 [1,1,1,0,1,0,0,0,1,0,1,0] => 2 [1,1,1,0,1,0,0,0,1,1,0,0] => 2 [1,1,1,0,1,0,0,1,0,0,1,0] => 2 [1,1,1,0,1,0,0,1,0,1,0,0] => 2 [1,1,1,0,1,0,0,1,1,0,0,0] => 2 [1,1,1,0,1,0,1,0,0,0,1,0] => 2 [1,1,1,0,1,0,1,0,0,1,0,0] => 2 [1,1,1,0,1,0,1,0,1,0,0,0] => 2 [1,1,1,0,1,0,1,1,0,0,0,0] => 2 [1,1,1,0,1,1,0,0,0,0,1,0] => 2 [1,1,1,0,1,1,0,0,0,1,0,0] => 2 [1,1,1,0,1,1,0,0,1,0,0,0] => 2 [1,1,1,0,1,1,0,1,0,0,0,0] => 2 [1,1,1,0,1,1,1,0,0,0,0,0] => 2 [1,1,1,1,0,0,0,0,1,0,1,0] => 2 [1,1,1,1,0,0,0,0,1,1,0,0] => 2 [1,1,1,1,0,0,0,1,0,0,1,0] => 2 [1,1,1,1,0,0,0,1,0,1,0,0] => 2 [1,1,1,1,0,0,0,1,1,0,0,0] => 2 [1,1,1,1,0,0,1,0,0,0,1,0] => 2 [1,1,1,1,0,0,1,0,0,1,0,0] => 2 [1,1,1,1,0,0,1,0,1,0,0,0] => 2 [1,1,1,1,0,0,1,1,0,0,0,0] => 2 [1,1,1,1,0,1,0,0,0,0,1,0] => 2 [1,1,1,1,0,1,0,0,0,1,0,0] => 2 [1,1,1,1,0,1,0,0,1,0,0,0] => 2 [1,1,1,1,0,1,0,1,0,0,0,0] => 2 [1,1,1,1,0,1,1,0,0,0,0,0] => 2 [1,1,1,1,1,0,0,0,0,0,1,0] => 2 [1,1,1,1,1,0,0,0,0,1,0,0] => 2 [1,1,1,1,1,0,0,0,1,0,0,0] => 2 [1,1,1,1,1,0,0,1,0,0,0,0] => 2 [1,1,1,1,1,0,1,0,0,0,0,0] => 2 [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] => 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] => 2 [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] => 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] => 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] => 2 [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] => 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] => 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] => 2 [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] => 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] => 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] => 2 [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] => 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] => 1 [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 1 [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 1 [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 1 [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] => 1 [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 1 [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 1 [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 1 [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] => 1 [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 1 [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 1 [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 1 [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] => 1 [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 1 [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 1 [1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 1 [1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 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] => 1 [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 1 [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 1 [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 1 [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 2 [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 1 [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 1 [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 1 [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 1 [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 2 [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 2 [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 2 [1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 2 [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2 [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 1 [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 1 [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 1 [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 1 [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 2 [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 1 [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 1 [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 1 [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 1 [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 2 [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 2 [1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 2 [1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 2 [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 2 [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 2 [1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 2 [1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 2 [1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 2 [1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 2 [1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 2 [1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 2 [1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 2 [1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 2 [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 2 [1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 2 [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 2 [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 2 [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 2 [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 2 [1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 2 [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 2 [1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 2 [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2 [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 2 [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 2 [1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 2 [1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 2 [1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 2 [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 2 [1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 2 [1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 2 [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 2 [1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 2 [1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 2 [1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 2 [1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 2 [1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 2 [1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 2 [1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 2 [1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 2 [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 2 [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 2 [1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 2 [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 2 [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 2 [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 2 [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 2 [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2 [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 2 [1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 2 [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 2 [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 2 [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 2 [1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 2 [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 2 [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 2 [1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 2 [1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 2 [1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 2 [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 2 [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2 [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 2 [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 2 [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 2 [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 2 [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 2 [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 2 [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 2 [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 2 [1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 2 [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 2 [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 2 [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 2 [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 2 [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 2 [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 2 [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 2 [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 2 [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 2 [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 2 [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 2 [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 2 [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2 [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 2 [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2 [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 2 [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 2 [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 2 [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 2 [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 2 [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 2 [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 2 [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 2 [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 2 [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 2 [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2 [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 2 [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 2 [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 2 [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 2 [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 2 [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 2 [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 2 [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2 [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 2 [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 2 [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 2 [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 2 [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 2 [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 2 [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 2 [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 2 [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2 [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 2 [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 2 [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 2 [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 2 [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 2 [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 2 [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 2 [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 2 [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2 [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 2 [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 2 [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 2 [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 2 [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 2 [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 2 [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 2 [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 2 [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 2 [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 2 [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 2 [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 2 [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 2 [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 2 [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 2 [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2 [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 2 [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 2 [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 2 [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 2 [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 2 [1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 2 [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 2 [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 2 [1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 2 [1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 2 [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 2 [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 2 [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 2 [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 2 [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 2 [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 2 [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 2 [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 2 [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 2 [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 2 [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 2 [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 2 [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 2 [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 2 [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2 [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 2 [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 2 [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 2 [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2 [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 2 [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 2 [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 2 [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 2 [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2 [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 2 [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 2 [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 2 [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 2 [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 2 [1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 2 [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 2 [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 2 [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 2 [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 2 [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 2 [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 2 [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 2 [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 2 [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 2 [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 2 [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 2 [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 2 [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 2 [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 2 [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 2 [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 2 [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 2 [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 2 [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 2 [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 2 [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 2 [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 2 [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 2 [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 2 [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 2 [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 2 [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 2 [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 2 [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 2 [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 2 [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 2 [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 2 [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 2 [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 2 [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 2 [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 2 [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 2 [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 2 [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 2 [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 2 [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2 [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 2 [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 2 [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 2 [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 2 [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 2 [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2 [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 2 [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 2 [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 2 [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 2 [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 2 [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 3 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 1 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 1 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 1 [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] => 1 [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 1 [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 1 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 1 [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] => 1 [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 1 [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 1 [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 1 [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] => 1 [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 1 [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 1 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 1 [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] => 1 [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 1 [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 1 [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 1 [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] => 1 [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 1 [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 1 [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 1 [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] => 1 [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 1 [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 1 [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 1 [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] => 1 [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 1 [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 1 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 1 [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] => 1 [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 1 [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 1 [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 1 [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] => 1 [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 1 [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 1 [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 1 [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] => 1 [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 1 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 1 [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 1 [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] => 1 [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 1 [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 1 [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 1 [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] => 1 [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 1 [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 1 [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 1 [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] => 1 [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 1 [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 1 [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 1 [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] => 1 [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 1 [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 1 [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 1 [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] => 1 [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 1 [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 1 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 1 [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] => 3 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 1 [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 1 [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 1 [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 2 [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 1 [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 1 [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => 1 [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => 1 [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => 2 [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 2 [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => 2 [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => 2 [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 2 [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 1 [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 1 [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 1 [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => 1 [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 2 [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => 1 [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => 1 [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => 1 [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => 1 [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => 2 [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => 2 [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => 2 [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => 2 [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => 2 [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 2 [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 2 [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => 2 [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => 2 [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => 2 [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => 2 [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => 2 [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => 2 [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => 2 [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 2 [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => 2 [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => 2 [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => 2 [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 2 [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 1 [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 1 [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 1 [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => 1 [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 2 [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 1 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 1 [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 1 [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => 1 [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => 2 [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 2 [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 2 [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => 2 [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 2 [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 1 [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 1 [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 1 [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 1 [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 2 [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 1 [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 1 [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => 1 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => 1 [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => 2 [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => 2 [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => 2 [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => 2 [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => 2 [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 2 [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 2 [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 2 [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => 2 [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => 2 [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => 2 [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => 2 [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => 2 [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => 2 [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => 2 [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => 2 [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => 2 [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => 2 [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => 2 [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 2 [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 2 [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 2 [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 2 [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 2 [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 2 [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 2 [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 2 [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => 2 [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => 2 [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 2 [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 2 [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => 2 [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => 2 [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 2 [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 2 [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 2 [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => 2 [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => 2 [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => 2 [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => 2 [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => 2 [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => 2 [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => 2 [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => 2 [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => 2 [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => 2 [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => 2 [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 2 [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 2 [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 2 [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => 2 [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => 2 [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 2 [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 2 [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => 2 [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => 2 [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => 2 [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => 2 [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => 2 [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => 2 [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => 2 [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 2 [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => 2 [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => 2 [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => 2 [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => 2 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 2 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1 [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => 1 [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => 1 [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => 1 [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2 [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 1 [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 1 [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 1 [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => 1 [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => 2 [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 2 [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 2 [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => 2 [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => 2 [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 1 [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => 1 [1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0] => 1 [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => 2 [1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0] => 2 [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => 2 [1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0] => 2 [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 2 [1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0] => 2 [1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => 2 [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => 2 [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => 1 [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0] => 1 [1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0] => 2 [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => 1 [1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => 1 [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => 1 [1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => 2 [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2 [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => 1 [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => 1 [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => 1 [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => 1 [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => 2 [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 1 [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => 1 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 1 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 1 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 2 [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => 2 [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => 2 [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => 2 [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => 2 [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => 2 [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => 2 [1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => 2 [1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0] => 2 [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => 2 [1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => 2 [1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0] => 2 [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => 2 [1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => 2 [1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => 2 [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => 2 [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => 2 [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => 2 [1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0] => 2 [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0] => 2 [1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0] => 2 [1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0] => 2 [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => 2 [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => 2 [1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => 2 [1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0] => 2 [1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0] => 2 [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0] => 2 [1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0] => 2 [1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => 2 [1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0] => 2 [1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => 2 [1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0] => 2 [1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2 [1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0] => 2 [1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0] => 2 [1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => 2 [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => 2 [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => 2 [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => 2 [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0] => 2 [1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0] => 2 [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2 [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2 [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => 2 [1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0] => 2 [1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0] => 2 [1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0] => 2 [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2 [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => 2 [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => 2 [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => 2 [1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0] => 2 [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0] => 2 [1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0] => 2 [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0] => 2 [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0] => 2 [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 2 [1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => 2 [1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0] => 2 [1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0] => 2 [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0] => 2 [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => 2 [1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => 2 [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => 2 [1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => 2 [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0] => 2 [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => 2 [1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0] => 2 [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => 2 [1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0] => 2 [1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0] => 2 [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0] => 2 [1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2 [1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => 2 [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0] => 2 [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => 2 [1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0] => 2 [1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => 2 [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => 2 [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => 2 [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => 2 [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0] => 2 [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => 2 [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => 2 [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => 2 [1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0] => 2 [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0] => 2 [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0] => 2 [1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => 2 [1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => 2 [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => 2 [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2 [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => 2 [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0] => 2 [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0] => 2 [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => 2 [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => 2 [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] => 2 [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => 2 [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => 2 [1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0] => 2 [1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0] => 2 [1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0] => 2 [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => 2 [1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0] => 2 [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => 2 [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => 2 [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0] => 2 [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0] => 2 [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => 2 [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => 2 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => 2 [1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0] => 2 [1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0] => 2 [1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0] => 2 [1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0] => 2 [1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0] => 2 [1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => 2 [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0] => 2 [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => 2 [1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0] => 2 [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => 2 [1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0] => 2 [1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0] => 2 [1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0] => 2 [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => 2 [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0] => 2 [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0] => 2 [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => 2 [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => 2 [1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0] => 2 [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 2 [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => 2 [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => 2 [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 2 [1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => 2 [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => 2 [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => 2 [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => 2 [1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0] => 2 [1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0] => 2 [1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0] => 2 [1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => 2 [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => 2 [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => 2 [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => 2 [1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => 2 [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => 2 [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => 2 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 2 [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => 2 [1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0] => 2 [1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => 2 [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => 2 [1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0] => 2 [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => 2 [1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => 2 [1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0] => 2 [1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => 2 [1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0] => 2 [1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => 2 [1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0] => 2 [1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0] => 2 [1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0] => 2 [1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => 2 [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => 2 [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => 2 [1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0] => 2 [1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => 2 [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => 2 [1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0] => 2 [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0] => 2 [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => 2 [1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0] => 2 [1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0] => 2 [1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0] => 2 [1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0] => 2 [1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0] => 2 [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => 2 [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => 2 [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => 2 [1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => 2 [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => 2 [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] => 2 [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] => 2 [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => 2 [1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => 2 [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => 2 [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => 2 [1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => 2 [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => 2 [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] => 2 [1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0] => 2 [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => 2 [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => 2 [1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => 2 [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => 2 [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0] => 2 [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => 2 [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => 2 [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] => 2 [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] => 2 [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => 2 [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => 3 [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => 2 [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0] => 2 [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 2 [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => 2 [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => 2 [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0] => 2 [1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0] => 2 [1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0] => 2 [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => 2 [1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0] => 2 [1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0] => 2 [1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0] => 2 [1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0] => 2 [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => 2 [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0] => 2 [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0] => 2 [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0] => 2 [1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0] => 2 [1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] => 2 [1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0] => 2 [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => 2 [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0] => 2 [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => 2 [1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0] => 2 [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0] => 2 [1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0] => 2 [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => 2 [1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0] => 2 [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => 2 [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => 2 [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => 2 [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0] => 2 [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0] => 2 [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => 2 [1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0] => 2 [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => 2 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 2 [1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => 2 [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0] => 2 [1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0] => 2 [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => 2 [1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => 2 [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => 2 [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0] => 2 [1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => 2 [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => 2 [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => 2 [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => 2 [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => 2 [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => 2 [1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0] => 2 [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => 2 [1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0] => 2 [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0] => 2 [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] => 2 [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => 2 [1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => 2 [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => 2 [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0] => 2 [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0] => 2 [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => 2 [1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => 2 [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => 2 [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] => 2 [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => 2 [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => 2 [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => 2 [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => 2 [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] => 2 [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => 2 [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0] => 2 [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => 2 [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => 3 [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => 2 [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0] => 2 [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => 2 [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0] => 2 [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0] => 2 [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => 2 [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0] => 2 [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0] => 2 [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => 2 [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => 2 [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0] => 2 [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => 2 [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => 2 [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0] => 2 [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => 2 [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => 2 [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0] => 2 [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => 2 [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => 2 [1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0] => 2 [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0] => 2 [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => 2 [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => 2 [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0] => 2 [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => 2 [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0] => 2 [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => 2 [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0] => 2 [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => 2 [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] => 2 [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => 2 [1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => 2 [1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0] => 2 [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0] => 2 [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => 2 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => 2 [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0] => 2 [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] => 2 [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => 2 [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0] => 2 [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => 2 [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => 2 [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => 2 [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => 2 [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => 2 [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => 2 [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] => 2 [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => 2 [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => 2 [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => 2 [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => 3 [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => 2 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => 2 [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] => 2 [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => 2 [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => 2 [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => 2 [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => 2 [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => 2 [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => 2 [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => 2 [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => 2 [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] => 2 [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => 2 [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => 2 [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => 2 [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] => 2 [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => 2 [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => 2 [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => 2 [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => 2 [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 2 [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => 2 [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0] => 2 [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => 2 [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => 2 [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => 2 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => 3 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 3 [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => 3 [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => 3 [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => 3 [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => 3 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => 3 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => 3 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 3 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 3 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 3 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] => 3 [1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => 3 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => 3 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0] => 3 [1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => 3 [1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => 3 [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0] => 3 [1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => 2 [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0] => 2 [1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => 2 [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0] => 3 [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 3 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] => 3 [1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => 2 [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 3 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => 3 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 3 [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0] => 2 [1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 2 [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 3 [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0] => 2 [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0] => 2 [1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 2 [1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 2 [1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => 2 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 1 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 2 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => 2 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => 2 [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => 2 [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => 2 [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => 2 [1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => 2 [1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => 2 [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => 2 [1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => 2 [1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => 2 [1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => 2 [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => 2 [1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => 2 [1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => 2 [1,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0] => 2 [1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => 2 [1,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0] => 2 [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0] => 2 [1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => 2 [1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => 2 [1,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0] => 2 [1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => 2 [1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0] => 2 [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => 2 [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => 2 [1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0] => 2 [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => 2 [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 2 [1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => 2 [1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => 2 [1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => 2 [1,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => 2 [1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => 3 [1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => 2 [1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => 3 [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => 3 [1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => 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] => 2 [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => 2 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => 2 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 2 [1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => 2 [1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => 3 [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 3 [1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => 2 [1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0] => 2 [1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0] => 2 [1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0] => 2 [1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0] => 2 [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => 2 [1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => 2 [1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0] => 3 [1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0] => 3 [1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0] => 2 [1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0] => 2 [1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => 2 [1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => 2 [1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => 3 [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0] => 3 [1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0] => 3 [1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => 3 [1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0] => 3 [1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0] => 2 [1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0] => 2 [1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0] => 2 [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0] => 2 [1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => 3 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0] => 3 [1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0] => 3 [1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => 3 [1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0] => 3 [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0] => 3 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0] => 3 [1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0] => 3 [1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0] => 3 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0] => 3 [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => 3 [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => 3 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => 3 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => 3 [1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0] => 3 [1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => 3 [1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => 3 [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => 3 [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => 3 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 3 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 1 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 1 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 1 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 1 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 1 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 1 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 1 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 2 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 2 [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 2 [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 2 [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 2 [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => 2 [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 2 [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 2 [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 2 [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => 2 [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 2 [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 2 [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => 2 [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 2 [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 2 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => 2 [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => 2 [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => 2 [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 2 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 2 [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => 2 [1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => 2 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 1 [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 2 [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 1 [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 1 [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1 [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 2 [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 1 [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 1 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 1 [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] => 1 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 1 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 1 [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 1 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 2 [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 2 [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 2 [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => 2 [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => 2 [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => 2 [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => 2 [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0] => 2 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0] => 2 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1 [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1 [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => 1 [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => 1 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 1 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 1 [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 2 [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => 2 [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => 2 [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => 2 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => 2 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 1 [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 1 [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 1 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 1 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => 2 [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => 2 [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => 2 [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => 2 [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 2 [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0] => 2 [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0] => 2 [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0] => 2 [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 2 [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => 2 [1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 2 [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => 2 [1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 2 [1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => 2 [1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0] => 2 [1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0] => 2 [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => 1 [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 1 [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => 1 [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 1 [1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => 2 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 2 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 2 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => 1 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 1 [1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => 2 [1,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2 [1,1,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => 2 [1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => 2 [1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 2 [1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 2 [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => 2 [1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => 2 [1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0] => 2 [1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0] => 2 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0] => 2 [1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0] => 2 [1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => 2 [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 1 [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => 1 [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => 1 [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 1 [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 1 [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => 2 [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => 2 [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => 2 [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => 2 [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => 2 [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 1 [1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => 2 [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0] => 2 [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0] => 2 [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => 2 [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 2 [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => 2 [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => 1 [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] => 3 [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 3 [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0] => 3 [1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => 3 [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0] => 3 [1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => 3 [1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => 3 [1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => 2 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] => 3 [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 3 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0] => 3 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 3 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0] => 3 [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] => 3 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 1 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 1 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 1 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 1 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 1 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 1 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 1 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 1 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 1 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 2 [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => 2 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 2 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => 2 [1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => 2 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 1 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 1 [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 1 [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 1 [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 3 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 1 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => 3 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 1 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 1 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 2 [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 3 [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 2 [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 2 [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => 2 [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => 2 [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0] => 2 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0] => 2 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0] => 3 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0] => 3 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => 3 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1 [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1 [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1 [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => 1 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => 1 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 1 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 1 [1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => 2 [1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0] => 2 [1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => 2 [1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => 2 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 2 [1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0] => 3 [1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => 3 [1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0] => 3 [1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0] => 3 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 1 [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] => 3 [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0] => 3 [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => 3 [1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0] => 3 [1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0] => 3 [1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 3 [1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 3 [1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 3 [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 2 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 1 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 1 [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => 2 [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => 2 [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => 2 [1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => 2 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => 2 [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => 2 [1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => 2 [1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => 2 [1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => 2 [1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => 2 [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => 2 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0] => 3 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0] => 3 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0] => 3 [1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0] => 3 [1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0] => 3 [1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => 2 [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0] => 3 [1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => 3 [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 2 [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => 2 [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2 [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => 2 [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => 2 [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2 [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2 [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 1 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => 2 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => 2 [1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => 2 [1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 2 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 2 [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => 2 [1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => 2 [1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => 2 [1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => 2 [1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => 2 [1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 2 [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] => 2 [1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 2 [1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 2 [1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 2 [1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 2 [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => 2 [1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => 2 [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => 2 [1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 2 [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => 2 [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => 2 [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 2 [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => 2 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => 2 [1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => 2 [1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => 2 [1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => 2 [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => 2 [1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0] => 2 [1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => 2 [1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => 2 [1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => 2 [1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => 2 [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => 2 [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => 2 [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => 2 [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => 2 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 2 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => 2 [1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0] => 3 [1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => 3 [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0] => 3 [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0] => 3 [1,1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => 3 [1,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => 3 [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] => 3 [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => 3 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 1 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 1 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 1 [1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => 2 [1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => 2 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1 [1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0] => 3 [1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0] => 3 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0] => 3 [1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0] => 3 [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0] => 3 [1,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => 3 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 2 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => 2 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => 2 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => 2 [1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => 2 [1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 2 [1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 2 [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 2 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 2 [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] => 3 [1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 3 [1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => 3 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0] => 3 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0] => 3 [1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 3 [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] => 2 [1,1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => 2 [1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => 2 [1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => 2 [1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => 2 [1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => 2 [1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => 2 [1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => 2 [1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => 2 [1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => 2 [1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => 2 [1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => 2 [1,1,0,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => 2 [1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => 2 [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 2 [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 2 [1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 2 [1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 2 [1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 2 [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 2 [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 2 [1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 2 [1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 2 [1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 2 [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0] => 2 [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0] => 2 [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => 2 [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => 2 [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => 2 [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => 2 [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => 2 [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 2 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => 2 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 2 [1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0] => 2 [1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0] => 2 [1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => 2 [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0] => 2 [1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => 2 [1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => 2 [1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => 2 [1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 2 [1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 2 [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0] => 2 [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => 2 [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => 2 [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => 2 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => 2 [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0] => 2 [1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0] => 2 [1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0] => 2 [1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0] => 2 [1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0] => 2 [1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => 2 [1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => 2 [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0] => 2 [1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => 2 [1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0] => 2 [1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0] => 2 [1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => 2 [1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0] => 2 [1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0] => 2 [1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => 2 [1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => 2 [1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => 2 [1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => 2 [1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0] => 2 [1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => 2 [1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => 2 [1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => 2 [1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => 2 [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0] => 2 [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => 2 [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => 2 [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => 2 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => 2 [1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0] => 2 [1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0] => 2 [1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => 2 [1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0] => 2 [1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0] => 2 [1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => 2 [1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => 2 [1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => 2 [1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => 2 [1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0] => 2 [1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0] => 2 [1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => 2 [1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0] => 2 [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 2 [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0] => 3 [1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] => 3 ----------------------------------------------------------------------------- Created: Jul 29, 2017 at 15:23 by Martin Rubey ----------------------------------------------------------------------------- Last Updated: Jun 17, 2021 at 10:55 by Martin Rubey