***************************************************************************** * 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: St000660 ----------------------------------------------------------------------------- Collection: Dyck paths ----------------------------------------------------------------------------- Description: The number of rises of length at least 3 of a Dyck path. The number of Dyck paths without such rises are counted by the Motzkin numbers [1]. ----------------------------------------------------------------------------- References: [1] Catalan number A000108(n) minus Motzkin number A001006(n). [[OEIS:A153008]] [2] Mare Number of certain Dyck paths [[MathOverflow:256019]] ----------------------------------------------------------------------------- Code: def statistic(D): return sum( 1 for i in D.rise_composition() if i >= 3 ) ----------------------------------------------------------------------------- Statistic values: [] => 0 [1,0] => 0 [1,0,1,0] => 0 [1,1,0,0] => 0 [1,0,1,0,1,0] => 0 [1,0,1,1,0,0] => 0 [1,1,0,0,1,0] => 0 [1,1,0,1,0,0] => 0 [1,1,1,0,0,0] => 1 [1,0,1,0,1,0,1,0] => 0 [1,0,1,0,1,1,0,0] => 0 [1,0,1,1,0,0,1,0] => 0 [1,0,1,1,0,1,0,0] => 0 [1,0,1,1,1,0,0,0] => 1 [1,1,0,0,1,0,1,0] => 0 [1,1,0,0,1,1,0,0] => 0 [1,1,0,1,0,0,1,0] => 0 [1,1,0,1,0,1,0,0] => 0 [1,1,0,1,1,0,0,0] => 0 [1,1,1,0,0,0,1,0] => 1 [1,1,1,0,0,1,0,0] => 1 [1,1,1,0,1,0,0,0] => 1 [1,1,1,1,0,0,0,0] => 1 [1,0,1,0,1,0,1,0,1,0] => 0 [1,0,1,0,1,0,1,1,0,0] => 0 [1,0,1,0,1,1,0,0,1,0] => 0 [1,0,1,0,1,1,0,1,0,0] => 0 [1,0,1,0,1,1,1,0,0,0] => 1 [1,0,1,1,0,0,1,0,1,0] => 0 [1,0,1,1,0,0,1,1,0,0] => 0 [1,0,1,1,0,1,0,0,1,0] => 0 [1,0,1,1,0,1,0,1,0,0] => 0 [1,0,1,1,0,1,1,0,0,0] => 0 [1,0,1,1,1,0,0,0,1,0] => 1 [1,0,1,1,1,0,0,1,0,0] => 1 [1,0,1,1,1,0,1,0,0,0] => 1 [1,0,1,1,1,1,0,0,0,0] => 1 [1,1,0,0,1,0,1,0,1,0] => 0 [1,1,0,0,1,0,1,1,0,0] => 0 [1,1,0,0,1,1,0,0,1,0] => 0 [1,1,0,0,1,1,0,1,0,0] => 0 [1,1,0,0,1,1,1,0,0,0] => 1 [1,1,0,1,0,0,1,0,1,0] => 0 [1,1,0,1,0,0,1,1,0,0] => 0 [1,1,0,1,0,1,0,0,1,0] => 0 [1,1,0,1,0,1,0,1,0,0] => 0 [1,1,0,1,0,1,1,0,0,0] => 0 [1,1,0,1,1,0,0,0,1,0] => 0 [1,1,0,1,1,0,0,1,0,0] => 0 [1,1,0,1,1,0,1,0,0,0] => 0 [1,1,0,1,1,1,0,0,0,0] => 1 [1,1,1,0,0,0,1,0,1,0] => 1 [1,1,1,0,0,0,1,1,0,0] => 1 [1,1,1,0,0,1,0,0,1,0] => 1 [1,1,1,0,0,1,0,1,0,0] => 1 [1,1,1,0,0,1,1,0,0,0] => 1 [1,1,1,0,1,0,0,0,1,0] => 1 [1,1,1,0,1,0,0,1,0,0] => 1 [1,1,1,0,1,0,1,0,0,0] => 1 [1,1,1,0,1,1,0,0,0,0] => 1 [1,1,1,1,0,0,0,0,1,0] => 1 [1,1,1,1,0,0,0,1,0,0] => 1 [1,1,1,1,0,0,1,0,0,0] => 1 [1,1,1,1,0,1,0,0,0,0] => 1 [1,1,1,1,1,0,0,0,0,0] => 1 [1,0,1,0,1,0,1,0,1,0,1,0] => 0 [1,0,1,0,1,0,1,0,1,1,0,0] => 0 [1,0,1,0,1,0,1,1,0,0,1,0] => 0 [1,0,1,0,1,0,1,1,0,1,0,0] => 0 [1,0,1,0,1,0,1,1,1,0,0,0] => 1 [1,0,1,0,1,1,0,0,1,0,1,0] => 0 [1,0,1,0,1,1,0,0,1,1,0,0] => 0 [1,0,1,0,1,1,0,1,0,0,1,0] => 0 [1,0,1,0,1,1,0,1,0,1,0,0] => 0 [1,0,1,0,1,1,0,1,1,0,0,0] => 0 [1,0,1,0,1,1,1,0,0,0,1,0] => 1 [1,0,1,0,1,1,1,0,0,1,0,0] => 1 [1,0,1,0,1,1,1,0,1,0,0,0] => 1 [1,0,1,0,1,1,1,1,0,0,0,0] => 1 [1,0,1,1,0,0,1,0,1,0,1,0] => 0 [1,0,1,1,0,0,1,0,1,1,0,0] => 0 [1,0,1,1,0,0,1,1,0,0,1,0] => 0 [1,0,1,1,0,0,1,1,0,1,0,0] => 0 [1,0,1,1,0,0,1,1,1,0,0,0] => 1 [1,0,1,1,0,1,0,0,1,0,1,0] => 0 [1,0,1,1,0,1,0,0,1,1,0,0] => 0 [1,0,1,1,0,1,0,1,0,0,1,0] => 0 [1,0,1,1,0,1,0,1,0,1,0,0] => 0 [1,0,1,1,0,1,0,1,1,0,0,0] => 0 [1,0,1,1,0,1,1,0,0,0,1,0] => 0 [1,0,1,1,0,1,1,0,0,1,0,0] => 0 [1,0,1,1,0,1,1,0,1,0,0,0] => 0 [1,0,1,1,0,1,1,1,0,0,0,0] => 1 [1,0,1,1,1,0,0,0,1,0,1,0] => 1 [1,0,1,1,1,0,0,0,1,1,0,0] => 1 [1,0,1,1,1,0,0,1,0,0,1,0] => 1 [1,0,1,1,1,0,0,1,0,1,0,0] => 1 [1,0,1,1,1,0,0,1,1,0,0,0] => 1 [1,0,1,1,1,0,1,0,0,0,1,0] => 1 [1,0,1,1,1,0,1,0,0,1,0,0] => 1 [1,0,1,1,1,0,1,0,1,0,0,0] => 1 [1,0,1,1,1,0,1,1,0,0,0,0] => 1 [1,0,1,1,1,1,0,0,0,0,1,0] => 1 [1,0,1,1,1,1,0,0,0,1,0,0] => 1 [1,0,1,1,1,1,0,0,1,0,0,0] => 1 [1,0,1,1,1,1,0,1,0,0,0,0] => 1 [1,0,1,1,1,1,1,0,0,0,0,0] => 1 [1,1,0,0,1,0,1,0,1,0,1,0] => 0 [1,1,0,0,1,0,1,0,1,1,0,0] => 0 [1,1,0,0,1,0,1,1,0,0,1,0] => 0 [1,1,0,0,1,0,1,1,0,1,0,0] => 0 [1,1,0,0,1,0,1,1,1,0,0,0] => 1 [1,1,0,0,1,1,0,0,1,0,1,0] => 0 [1,1,0,0,1,1,0,0,1,1,0,0] => 0 [1,1,0,0,1,1,0,1,0,0,1,0] => 0 [1,1,0,0,1,1,0,1,0,1,0,0] => 0 [1,1,0,0,1,1,0,1,1,0,0,0] => 0 [1,1,0,0,1,1,1,0,0,0,1,0] => 1 [1,1,0,0,1,1,1,0,0,1,0,0] => 1 [1,1,0,0,1,1,1,0,1,0,0,0] => 1 [1,1,0,0,1,1,1,1,0,0,0,0] => 1 [1,1,0,1,0,0,1,0,1,0,1,0] => 0 [1,1,0,1,0,0,1,0,1,1,0,0] => 0 [1,1,0,1,0,0,1,1,0,0,1,0] => 0 [1,1,0,1,0,0,1,1,0,1,0,0] => 0 [1,1,0,1,0,0,1,1,1,0,0,0] => 1 [1,1,0,1,0,1,0,0,1,0,1,0] => 0 [1,1,0,1,0,1,0,0,1,1,0,0] => 0 [1,1,0,1,0,1,0,1,0,0,1,0] => 0 [1,1,0,1,0,1,0,1,0,1,0,0] => 0 [1,1,0,1,0,1,0,1,1,0,0,0] => 0 [1,1,0,1,0,1,1,0,0,0,1,0] => 0 [1,1,0,1,0,1,1,0,0,1,0,0] => 0 [1,1,0,1,0,1,1,0,1,0,0,0] => 0 [1,1,0,1,0,1,1,1,0,0,0,0] => 1 [1,1,0,1,1,0,0,0,1,0,1,0] => 0 [1,1,0,1,1,0,0,0,1,1,0,0] => 0 [1,1,0,1,1,0,0,1,0,0,1,0] => 0 [1,1,0,1,1,0,0,1,0,1,0,0] => 0 [1,1,0,1,1,0,0,1,1,0,0,0] => 0 [1,1,0,1,1,0,1,0,0,0,1,0] => 0 [1,1,0,1,1,0,1,0,0,1,0,0] => 0 [1,1,0,1,1,0,1,0,1,0,0,0] => 0 [1,1,0,1,1,0,1,1,0,0,0,0] => 0 [1,1,0,1,1,1,0,0,0,0,1,0] => 1 [1,1,0,1,1,1,0,0,0,1,0,0] => 1 [1,1,0,1,1,1,0,0,1,0,0,0] => 1 [1,1,0,1,1,1,0,1,0,0,0,0] => 1 [1,1,0,1,1,1,1,0,0,0,0,0] => 1 [1,1,1,0,0,0,1,0,1,0,1,0] => 1 [1,1,1,0,0,0,1,0,1,1,0,0] => 1 [1,1,1,0,0,0,1,1,0,0,1,0] => 1 [1,1,1,0,0,0,1,1,0,1,0,0] => 1 [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] => 1 [1,1,1,0,0,1,0,0,1,1,0,0] => 1 [1,1,1,0,0,1,0,1,0,0,1,0] => 1 [1,1,1,0,0,1,0,1,0,1,0,0] => 1 [1,1,1,0,0,1,0,1,1,0,0,0] => 1 [1,1,1,0,0,1,1,0,0,0,1,0] => 1 [1,1,1,0,0,1,1,0,0,1,0,0] => 1 [1,1,1,0,0,1,1,0,1,0,0,0] => 1 [1,1,1,0,0,1,1,1,0,0,0,0] => 2 [1,1,1,0,1,0,0,0,1,0,1,0] => 1 [1,1,1,0,1,0,0,0,1,1,0,0] => 1 [1,1,1,0,1,0,0,1,0,0,1,0] => 1 [1,1,1,0,1,0,0,1,0,1,0,0] => 1 [1,1,1,0,1,0,0,1,1,0,0,0] => 1 [1,1,1,0,1,0,1,0,0,0,1,0] => 1 [1,1,1,0,1,0,1,0,0,1,0,0] => 1 [1,1,1,0,1,0,1,0,1,0,0,0] => 1 [1,1,1,0,1,0,1,1,0,0,0,0] => 1 [1,1,1,0,1,1,0,0,0,0,1,0] => 1 [1,1,1,0,1,1,0,0,0,1,0,0] => 1 [1,1,1,0,1,1,0,0,1,0,0,0] => 1 [1,1,1,0,1,1,0,1,0,0,0,0] => 1 [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] => 1 [1,1,1,1,0,0,0,0,1,1,0,0] => 1 [1,1,1,1,0,0,0,1,0,0,1,0] => 1 [1,1,1,1,0,0,0,1,0,1,0,0] => 1 [1,1,1,1,0,0,0,1,1,0,0,0] => 1 [1,1,1,1,0,0,1,0,0,0,1,0] => 1 [1,1,1,1,0,0,1,0,0,1,0,0] => 1 [1,1,1,1,0,0,1,0,1,0,0,0] => 1 [1,1,1,1,0,0,1,1,0,0,0,0] => 1 [1,1,1,1,0,1,0,0,0,0,1,0] => 1 [1,1,1,1,0,1,0,0,0,1,0,0] => 1 [1,1,1,1,0,1,0,0,1,0,0,0] => 1 [1,1,1,1,0,1,0,1,0,0,0,0] => 1 [1,1,1,1,0,1,1,0,0,0,0,0] => 1 [1,1,1,1,1,0,0,0,0,0,1,0] => 1 [1,1,1,1,1,0,0,0,0,1,0,0] => 1 [1,1,1,1,1,0,0,0,1,0,0,0] => 1 [1,1,1,1,1,0,0,1,0,0,0,0] => 1 [1,1,1,1,1,0,1,0,0,0,0,0] => 1 [1,1,1,1,1,1,0,0,0,0,0,0] => 1 [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0 [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 0 [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 0 [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 0 [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 1 [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 0 [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 0 [1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 0 [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 0 [1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 0 [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 1 [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 1 [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 1 [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 1 [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 0 [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 0 [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 0 [1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 0 [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 1 [1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 0 [1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 0 [1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 0 [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 0 [1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 0 [1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 0 [1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 0 [1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 0 [1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 1 [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 1 [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 1 [1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 1 [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 1 [1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 1 [1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 1 [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 1 [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 1 [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 1 [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 1 [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 1 [1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 1 [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 1 [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 1 [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 0 [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 0 [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 0 [1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 0 [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 1 [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 0 [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 0 [1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 0 [1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 0 [1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 0 [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 1 [1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 1 [1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 1 [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 1 [1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 0 [1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 0 [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 0 [1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 0 [1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 1 [1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 0 [1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 0 [1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 0 [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 0 [1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 0 [1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 0 [1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 0 [1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 0 [1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 1 [1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 0 [1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 0 [1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 0 [1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 0 [1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 0 [1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 0 [1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 0 [1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 0 [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 0 [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 1 [1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 1 [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 1 [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 1 [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 1 [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 1 [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 1 [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 1 [1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 1 [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 2 [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 1 [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 1 [1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 1 [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 1 [1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 1 [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 1 [1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 1 [1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 1 [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 2 [1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 1 [1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 1 [1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 1 [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 1 [1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 1 [1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 1 [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 1 [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 1 [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 1 [1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 1 [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 1 [1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 1 [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 1 [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 2 [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 1 [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 1 [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 1 [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 1 [1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 1 [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 1 [1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 1 [1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 1 [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 1 [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 1 [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 1 [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 1 [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 1 [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 1 [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 1 [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 1 [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 1 [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 1 [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 1 [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1 [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 0 [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 0 [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 0 [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 0 [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 1 [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 0 [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 0 [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 0 [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 0 [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 0 [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 1 [1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 1 [1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 1 [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 1 [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 0 [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 0 [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 0 [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 0 [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 1 [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 0 [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 0 [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 0 [1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 0 [1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 0 [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 0 [1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 0 [1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 0 [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 1 [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 1 [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 1 [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 1 [1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 1 [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 1 [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 1 [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 1 [1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 1 [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 1 [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 1 [1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 1 [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 1 [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 1 [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1 [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 0 [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 0 [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 0 [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 0 [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 1 [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 0 [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 0 [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 0 [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 0 [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 0 [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 1 [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 1 [1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 1 [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 1 [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 0 [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 0 [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 0 [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 0 [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 1 [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 0 [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 0 [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 0 [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 0 [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 0 [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 0 [1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 0 [1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 0 [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 1 [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 0 [1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 0 [1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 0 [1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 0 [1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 0 [1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 0 [1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 0 [1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 0 [1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 0 [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 1 [1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 1 [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 1 [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 1 [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 1 [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 0 [1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 0 [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 0 [1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 0 [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 1 [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 0 [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 0 [1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 0 [1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 0 [1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 0 [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 0 [1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 0 [1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 0 [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 1 [1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 0 [1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 0 [1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 0 [1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 0 [1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 0 [1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 0 [1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 0 [1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 0 [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 0 [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 0 [1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 0 [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 0 [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 0 [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 1 [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 1 [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 1 [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 1 [1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 1 [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 1 [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 1 [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 1 [1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 1 [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 1 [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 1 [1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 1 [1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 1 [1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 1 [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 1 [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 1 [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 1 [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 1 [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 1 [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 1 [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1 [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 1 [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 1 [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 1 [1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 1 [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] => 1 [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 1 [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 1 [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 1 [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 1 [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] => 1 [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 1 [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 1 [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 1 [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2 [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 1 [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 1 [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 1 [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 1 [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 1 [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 1 [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 1 [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 1 [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 2 [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 1 [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 1 [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 1 [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 1 [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 1 [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 1 [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 1 [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 1 [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 1 [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] => 1 [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 1 [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 1 [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 1 [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] => 1 [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 1 [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 1 [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 1 [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 1 [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 1 [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 1 [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 1 [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2 [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 1 [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 1 [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 1 [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 1 [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 1 [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 1 [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 1 [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 1 [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 1 [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 1 [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 1 [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 1 [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 1 [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] => 1 [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 1 [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 1 [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 1 [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 1 [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 1 [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 1 [1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 1 [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 1 [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 1 [1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 1 [1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 1 [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 1 [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 1 [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] => 1 [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 1 [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 1 [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 1 [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] => 1 [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 1 [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 1 [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 1 [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 1 [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 1 [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 1 [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 1 [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] => 1 [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 1 [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 1 [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 1 [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 1 [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 1 [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 1 [1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 1 [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 1 [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 1 [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 1 [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 1 [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 1 [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 2 [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 1 [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 1 [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 1 [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 1 [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 1 [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 1 [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 1 [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 1 [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 1 [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 1 [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 1 [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 1 [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 1 [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 1 [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 1 [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 1 [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 1 [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 1 [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 1 [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] => 1 [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 1 [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 1 [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 1 [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 1 [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 1 [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 1 [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 1 [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 1 [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 1 [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 1 [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 1 [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 1 [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 1 [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 1 [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 1 [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 1 [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 1 [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 1 [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1 [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 1 [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 1 [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 1 [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 1 [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 1 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 0 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 0 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 0 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 1 [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 0 [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 0 [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 0 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 0 [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 0 [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 1 [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 1 [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 1 [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 1 [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 0 [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 0 [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 0 [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 0 [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 1 [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 0 [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 0 [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 0 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 0 [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 0 [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 0 [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 0 [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 0 [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 1 [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 1 [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 1 [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 1 [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 1 [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 1 [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 1 [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 1 [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 1 [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 1 [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 1 [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 1 [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 1 [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 1 [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 1 [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 0 [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 0 [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 0 [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 0 [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 1 [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 0 [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 0 [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 0 [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 0 [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 0 [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 1 [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 1 [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 1 [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 1 [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 0 [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 0 [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 0 [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 0 [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 1 [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 0 [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 0 [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 0 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 0 [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 0 [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 0 [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 0 [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 0 [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 1 [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 0 [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 0 [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 0 [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 0 [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 0 [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 0 [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 0 [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 0 [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 0 [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 1 [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 1 [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 1 [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 1 [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 1 [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 1 [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 1 [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 1 [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 1 [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] => 1 [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 1 [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 1 [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 1 [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 1 [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 1 [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 1 [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 1 [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] => 1 [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 1 [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 1 [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 1 [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 1 [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 1 [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 1 [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 1 [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 1 [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 1 [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 1 [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 1 [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 1 [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] => 1 [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 1 [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 1 [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 1 [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 1 [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 1 [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 1 [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 1 [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 1 [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 1 [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 1 [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 1 [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 1 [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 1 [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 1 [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 1 [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 1 [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 1 [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 1 [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 0 [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 0 [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 0 [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 0 [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 1 [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 0 [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 0 [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 0 [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 0 [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 0 [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 1 [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 1 [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 1 [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 1 [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 0 [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 0 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 0 [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 0 [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 1 [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 0 [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 0 [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 0 [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 0 [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 0 [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 0 [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 0 [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 0 [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 1 [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 1 [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 1 [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 1 [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 1 [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 1 [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 1 [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 1 [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 1 [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 1 [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 1 [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 1 [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 1 [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 1 [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1 [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 0 [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 0 [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 0 [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 0 [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 1 [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 0 [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 0 [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 0 [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 0 [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 0 [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 1 [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 1 [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 1 [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 1 [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 0 [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 0 [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 0 [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 0 [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 1 [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 0 [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 0 [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 0 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 0 [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 0 [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 0 [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 0 [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 0 [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 1 [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 0 [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 0 [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 0 [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 0 [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 0 [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 0 [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 0 [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 0 [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 0 [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 1 [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 1 [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 1 [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 1 [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 1 [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 0 [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 0 [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 0 [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 0 [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 1 [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 0 [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 0 [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 0 [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 0 [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 0 [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 0 [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 0 [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 0 [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 1 [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 0 [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 0 [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 0 [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 0 [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 0 [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 0 [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 0 [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 0 [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 0 [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 0 [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 0 [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 0 [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 0 [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 1 [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 1 [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 1 [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 1 [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 1 [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 1 [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 1 [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 1 [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 1 [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 1 [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 1 [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 1 [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 1 [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 1 [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 1 [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 1 [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 1 [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 1 [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 1 [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 1 [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1 [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 1 [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 1 [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 1 [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 1 [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] => 1 [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 1 [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 1 [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 1 [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 1 [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] => 1 [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 1 [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 1 [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 1 [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] => 1 [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 1 [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 1 [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 1 [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 1 [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 1 [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 1 [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 1 [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] => 1 [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 1 [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 1 [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 1 [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 1 [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 1 [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 1 [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 1 [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 1 [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] => 1 [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 1 [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 1 [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 1 [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] => 1 [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 1 [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 1 [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 1 [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 1 [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 1 [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 1 [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 1 [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] => 1 [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 1 [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 1 [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 1 [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 1 [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 1 [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 1 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 1 [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 1 [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 1 [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 1 [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 1 [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 1 [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] => 1 [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 1 [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 1 [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 1 [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 1 [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 1 [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 1 [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 1 [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 1 [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 1 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 1 [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 1 [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 1 [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 1 [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] => 1 [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 1 [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 1 [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 1 [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] => 1 [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 1 [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 1 [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 1 [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 1 [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 1 [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 1 [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 1 [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] => 1 [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 1 [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 1 [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 1 [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 1 [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 1 [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 1 [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 1 [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 1 [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 1 [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 1 [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 1 [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 1 [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] => 1 [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 1 [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 1 [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 1 [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 1 [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 1 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 1 [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 1 [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 1 [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 1 [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 1 [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 1 [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 1 [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 1 [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 1 [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 1 [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 1 [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 1 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 1 [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] => 1 [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 1 [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 1 [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 1 [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 1 [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 1 [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 1 [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 1 [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 1 [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 1 [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 1 [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 1 [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 1 [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 1 [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 1 [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 1 [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 1 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 1 [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 1 [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 1 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1 [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 1 [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 1 [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 1 [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 1 [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 1 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 1 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 0 [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 0 [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 0 [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 1 [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 0 [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 0 [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => 0 [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => 0 [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => 0 [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 1 [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => 1 [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => 1 [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 1 [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 0 [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 0 [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 0 [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => 0 [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 1 [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => 0 [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => 0 [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => 0 [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => 0 [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => 0 [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => 0 [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => 0 [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => 0 [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => 1 [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 1 [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 1 [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => 1 [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => 1 [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => 1 [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => 1 [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => 1 [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => 1 [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => 1 [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 1 [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => 1 [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => 1 [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => 1 [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 1 [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 0 [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 0 [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 0 [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => 0 [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 1 [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 0 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 0 [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 0 [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => 0 [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => 0 [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 1 [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 1 [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => 1 [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 1 [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 0 [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 0 [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 0 [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 0 [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 1 [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 0 [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 0 [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => 0 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => 0 [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => 0 [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => 0 [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => 0 [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => 0 [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => 1 [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 0 [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 0 [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 0 [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => 0 [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => 0 [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => 0 [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => 0 [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => 0 [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => 0 [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => 1 [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => 1 [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => 1 [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => 1 [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => 1 [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 1 [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 1 [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 1 [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 1 [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] => 1 [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 1 [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 1 [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => 1 [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => 1 [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 1 [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 1 [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => 1 [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] => 1 [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 1 [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 1 [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => 1 [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => 1 [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => 1 [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => 1 [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => 1 [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => 1 [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => 1 [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => 1 [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => 1 [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => 1 [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] => 1 [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 1 [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 1 [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => 1 [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => 1 [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 1 [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 1 [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => 1 [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => 1 [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => 1 [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => 1 [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => 1 [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => 1 [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => 1 [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 1 [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => 1 [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => 1 [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => 1 [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => 1 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 0 [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => 0 [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => 0 [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => 0 [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => 1 [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 0 [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 0 [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 0 [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => 0 [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => 0 [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 1 [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 1 [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => 1 [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => 1 [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 0 [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => 0 [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 1 [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => 0 [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => 0 [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 0 [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => 0 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 0 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 0 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 0 [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => 0 [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => 0 [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => 1 [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => 0 [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => 0 [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => 0 [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => 0 [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => 0 [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => 0 [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 0 [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => 0 [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => 1 [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => 1 [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => 1 [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => 1 [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => 1 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 1 [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => 1 [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => 1 [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => 2 [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => 1 [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => 1 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => 1 [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => 1 [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 1 [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] => 1 [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => 1 [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => 1 [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => 1 [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => 1 [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => 1 [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => 1 [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => 1 [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => 1 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 1 [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => 1 [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => 1 [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => 1 [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] => 1 [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] => 2 [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => 2 [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] => 2 [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0] => 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] => 2 [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 1 [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 [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => 1 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 1 [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => 1 [1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0] => 1 [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => 1 [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0] => 1 [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] => 1 [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] => 1 [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => 1 [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 [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => 2 [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => 2 [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => 1 [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => 1 [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => 1 [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] => 1 [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => 1 [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => 1 [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] => 1 [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => 1 [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0] => 1 [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => 1 [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => 1 [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => 1 [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => 1 [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] => 1 [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => 1 [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => 1 [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => 1 [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => 2 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => 1 [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => 1 [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => 1 [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => 1 [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => 1 [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => 1 [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] => 1 [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => 1 [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => 1 [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 1 [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => 1 [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => 1 [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => 1 [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 1 [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => 1 [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => 1 [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => 1 [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => 1 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 1 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] => 1 [1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => 1 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0] => 1 [1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => 1 [1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => 1 [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0] => 2 [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0] => 1 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] => 1 [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 1 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 1 [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0] => 1 [1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 1 [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0] => 1 [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0] => 1 [1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 1 [1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 1 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 0 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 0 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => 0 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => 0 [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => 0 [1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => 1 [1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => 1 [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 1 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 1 [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => 1 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => 1 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 1 [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 2 [1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => 2 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0] => 1 [1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0] => 1 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0] => 1 [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => 1 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => 1 [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 1 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 0 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 0 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 1 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 0 [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 0 [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1 [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 1 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => 1 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => 1 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 0 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 0 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 0 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 0 [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 0 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 0 [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 0 [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 0 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 0 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => 1 [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => 1 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 1 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 0 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => 0 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 0 [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 1 [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0] => 1 [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => 1 [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => 1 [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 1 [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 1 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => 1 [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0] => 1 [1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0] => 1 [1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] => 1 [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 1 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 1 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0] => 1 [1,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => 1 [1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 1 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 0 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 0 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 0 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 1 [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 1 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => 1 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 0 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => 1 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 0 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 0 [1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => 1 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 0 [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => 1 [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0] => 1 [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => 1 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 1 [1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => 0 [1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => 1 [1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => 1 [1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => 1 [1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => 1 [1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => 1 [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] => 1 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => 1 [1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => 1 [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] => 1 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => 1 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => 1 [1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 0 [1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 1 [1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 1 [1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 1 [1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 1 [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => 0 [1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => 1 [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => 1 [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] => 0 [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => 1 [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 1 [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => 1 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => 1 [1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => 0 [1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => 1 [1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => 1 [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => 1 [1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0] => 1 [1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => 1 [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] => 1 [1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => 1 [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => 1 [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] => 1 [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => 1 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 1 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => 1 [1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0] => 1 [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0] => 1 [1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 1 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => 1 [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => 1 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 0 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 0 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 0 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0 [1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0] => 1 [1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0] => 1 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 1 [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] => 1 [1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0] => 1 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0] => 1 [1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 1 [1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => 0 [1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0] => 1 [1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0] => 1 [1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0] => 1 [1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0] => 1 [1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0] => 1 [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] => 1 [1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => 1 [1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0] => 1 [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] => 1 [1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0] => 1 [1,0,1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0] => 1 [1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => 1 [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] => 1 [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] => 1 [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] => 1 [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] => 1 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0] => 1 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => 1 [1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0] => 1 [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] => 1 [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] => 1 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => 1 [1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0] => 1 [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] => 1 [1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => 1 [1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => 1 [1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => 0 [1,1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => 1 [1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => 1 [1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => 1 [1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => 1 [1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => 1 [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] => 1 [1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => 1 [1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => 1 [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] => 1 [1,1,0,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => 1 [1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => 1 [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 0 [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 1 [1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 1 [1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 1 [1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 1 [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 1 [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] => 0 [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0] => 1 [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => 1 [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] => 1 [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] => 1 [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] => 1 [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] => 0 [1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0] => 1 [1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => 1 [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0] => 1 [1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => 1 [1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => 1 [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] => 1 [1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 1 [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0] => 1 [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] => 1 [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => 1 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => 1 [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0] => 0 [1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0] => 1 [1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0] => 1 [1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0] => 1 [1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0] => 1 [1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => 1 [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] => 1 [1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => 1 [1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0] => 1 [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] => 1 [1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0] => 1 [1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0] => 1 [1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => 1 [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] => 1 [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] => 1 [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] => 1 [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] => 1 [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => 1 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => 1 [1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0] => 1 [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] => 1 [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] => 1 [1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => 1 [1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0] => 1 [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] => 1 [1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0] => 1 [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 1 ----------------------------------------------------------------------------- Created: Nov 30, 2016 at 20:07 by Christian Stump ----------------------------------------------------------------------------- Last Updated: Apr 01, 2018 at 21:35 by Martin Rubey