***************************************************************************** * 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: St000932 ----------------------------------------------------------------------------- Collection: Dyck paths ----------------------------------------------------------------------------- Description: The number of occurrences of the pattern UDU in a Dyck path. The number of Dyck paths with statistic value 0 are counted by the Motzkin numbers [1]. ----------------------------------------------------------------------------- References: [1] Motzkin numbers: number of ways of drawing any number of nonintersecting chords joining n (labeled) points on a circle. [[OEIS:A001006]] ----------------------------------------------------------------------------- Code: def statistic(D): return sum(1 for i in range(len(D)-2) if D[i:i+3] == [1,0,1]) ----------------------------------------------------------------------------- Statistic values: [1,0,1,0] => 1 [1,1,0,0] => 0 [1,0,1,0,1,0] => 2 [1,0,1,1,0,0] => 1 [1,1,0,0,1,0] => 0 [1,1,0,1,0,0] => 1 [1,1,1,0,0,0] => 0 [1,0,1,0,1,0,1,0] => 3 [1,0,1,0,1,1,0,0] => 2 [1,0,1,1,0,0,1,0] => 1 [1,0,1,1,0,1,0,0] => 2 [1,0,1,1,1,0,0,0] => 1 [1,1,0,0,1,0,1,0] => 1 [1,1,0,0,1,1,0,0] => 0 [1,1,0,1,0,0,1,0] => 1 [1,1,0,1,0,1,0,0] => 2 [1,1,0,1,1,0,0,0] => 1 [1,1,1,0,0,0,1,0] => 0 [1,1,1,0,0,1,0,0] => 0 [1,1,1,0,1,0,0,0] => 1 [1,1,1,1,0,0,0,0] => 0 [1,0,1,0,1,0,1,0,1,0] => 4 [1,0,1,0,1,0,1,1,0,0] => 3 [1,0,1,0,1,1,0,0,1,0] => 2 [1,0,1,0,1,1,0,1,0,0] => 3 [1,0,1,0,1,1,1,0,0,0] => 2 [1,0,1,1,0,0,1,0,1,0] => 2 [1,0,1,1,0,0,1,1,0,0] => 1 [1,0,1,1,0,1,0,0,1,0] => 2 [1,0,1,1,0,1,0,1,0,0] => 3 [1,0,1,1,0,1,1,0,0,0] => 2 [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] => 2 [1,0,1,1,1,1,0,0,0,0] => 1 [1,1,0,0,1,0,1,0,1,0] => 2 [1,1,0,0,1,0,1,1,0,0] => 1 [1,1,0,0,1,1,0,0,1,0] => 0 [1,1,0,0,1,1,0,1,0,0] => 1 [1,1,0,0,1,1,1,0,0,0] => 0 [1,1,0,1,0,0,1,0,1,0] => 2 [1,1,0,1,0,0,1,1,0,0] => 1 [1,1,0,1,0,1,0,0,1,0] => 2 [1,1,0,1,0,1,0,1,0,0] => 3 [1,1,0,1,0,1,1,0,0,0] => 2 [1,1,0,1,1,0,0,0,1,0] => 1 [1,1,0,1,1,0,0,1,0,0] => 1 [1,1,0,1,1,0,1,0,0,0] => 2 [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] => 0 [1,1,1,0,0,1,0,0,1,0] => 0 [1,1,1,0,0,1,0,1,0,0] => 1 [1,1,1,0,0,1,1,0,0,0] => 0 [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] => 2 [1,1,1,0,1,1,0,0,0,0] => 1 [1,1,1,1,0,0,0,0,1,0] => 0 [1,1,1,1,0,0,0,1,0,0] => 0 [1,1,1,1,0,0,1,0,0,0] => 0 [1,1,1,1,0,1,0,0,0,0] => 1 [1,1,1,1,1,0,0,0,0,0] => 0 [1,0,1,0,1,0,1,0,1,0,1,0] => 5 [1,0,1,0,1,0,1,0,1,1,0,0] => 4 [1,0,1,0,1,0,1,1,0,0,1,0] => 3 [1,0,1,0,1,0,1,1,0,1,0,0] => 4 [1,0,1,0,1,0,1,1,1,0,0,0] => 3 [1,0,1,0,1,1,0,0,1,0,1,0] => 3 [1,0,1,0,1,1,0,0,1,1,0,0] => 2 [1,0,1,0,1,1,0,1,0,0,1,0] => 3 [1,0,1,0,1,1,0,1,0,1,0,0] => 4 [1,0,1,0,1,1,0,1,1,0,0,0] => 3 [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] => 3 [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] => 3 [1,0,1,1,0,0,1,0,1,1,0,0] => 2 [1,0,1,1,0,0,1,1,0,0,1,0] => 1 [1,0,1,1,0,0,1,1,0,1,0,0] => 2 [1,0,1,1,0,0,1,1,1,0,0,0] => 1 [1,0,1,1,0,1,0,0,1,0,1,0] => 3 [1,0,1,1,0,1,0,0,1,1,0,0] => 2 [1,0,1,1,0,1,0,1,0,0,1,0] => 3 [1,0,1,1,0,1,0,1,0,1,0,0] => 4 [1,0,1,1,0,1,0,1,1,0,0,0] => 3 [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] => 3 [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] => 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] => 2 [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] => 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] => 3 [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] => 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] => 2 [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] => 3 [1,1,0,0,1,0,1,0,1,1,0,0] => 2 [1,1,0,0,1,0,1,1,0,0,1,0] => 1 [1,1,0,0,1,0,1,1,0,1,0,0] => 2 [1,1,0,0,1,0,1,1,1,0,0,0] => 1 [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] => 0 [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] => 2 [1,1,0,0,1,1,0,1,1,0,0,0] => 1 [1,1,0,0,1,1,1,0,0,0,1,0] => 0 [1,1,0,0,1,1,1,0,0,1,0,0] => 0 [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] => 0 [1,1,0,1,0,0,1,0,1,0,1,0] => 3 [1,1,0,1,0,0,1,0,1,1,0,0] => 2 [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] => 2 [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] => 3 [1,1,0,1,0,1,0,0,1,1,0,0] => 2 [1,1,0,1,0,1,0,1,0,0,1,0] => 3 [1,1,0,1,0,1,0,1,0,1,0,0] => 4 [1,1,0,1,0,1,0,1,1,0,0,0] => 3 [1,1,0,1,0,1,1,0,0,0,1,0] => 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] => 3 [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] => 1 [1,1,0,1,1,0,0,1,0,0,1,0] => 1 [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] => 1 [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] => 3 [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] => 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] => 2 [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] => 2 [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] => 0 [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] => 0 [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] => 0 [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] => 2 [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] => 0 [1,1,1,0,0,1,1,0,0,1,0,0] => 0 [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] => 0 [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] => 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] => 2 [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] => 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] => 3 [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] => 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] => 2 [1,1,1,0,1,1,1,0,0,0,0,0] => 1 [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] => 0 [1,1,1,1,0,0,0,1,0,0,1,0] => 0 [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] => 0 [1,1,1,1,0,0,1,0,0,0,1,0] => 0 [1,1,1,1,0,0,1,0,0,1,0,0] => 0 [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] => 0 [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] => 2 [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] => 0 [1,1,1,1,1,0,0,0,0,1,0,0] => 0 [1,1,1,1,1,0,0,0,1,0,0,0] => 0 [1,1,1,1,1,0,0,1,0,0,0,0] => 0 [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] => 0 [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 6 [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 5 [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 4 [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 5 [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 4 [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 4 [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 3 [1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 4 [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 5 [1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 4 [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 3 [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 3 [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 4 [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 3 [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 4 [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 3 [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 2 [1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 3 [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] => 4 [1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 3 [1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 4 [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 5 [1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 4 [1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 3 [1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 3 [1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 4 [1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 3 [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 3 [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] => 3 [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] => 3 [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 3 [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 4 [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 3 [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] => 3 [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] => 4 [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 3 [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 2 [1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 3 [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 2 [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 2 [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 1 [1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 2 [1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 3 [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] => 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] => 2 [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] => 4 [1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 3 [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 2 [1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 3 [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] => 4 [1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 3 [1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 4 [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 5 [1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 4 [1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 3 [1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 3 [1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 4 [1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 3 [1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 3 [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] => 3 [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] => 3 [1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 3 [1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 4 [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 3 [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] => 3 [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] => 3 [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] => 1 [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] => 1 [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] => 1 [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] => 3 [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] => 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] => 2 [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 1 [1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 3 [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] => 3 [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] => 3 [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 3 [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 4 [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 3 [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] => 3 [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] => 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] => 2 [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] => 2 [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] => 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] => 3 [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] => 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] => 2 [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] => 4 [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 3 [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2 [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 3 [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2 [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2 [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 1 [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 2 [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 3 [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] => 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] => 2 [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] => 2 [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] => 0 [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] => 0 [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 2 [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 1 [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 2 [1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 3 [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] => 1 [1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 1 [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] => 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] => 0 [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 0 [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] => 0 [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] => 2 [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] => 0 [1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 0 [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 0 [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] => 0 [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 4 [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 3 [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2 [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 3 [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 2 [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2 [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] => 2 [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 3 [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 2 [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] => 2 [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] => 4 [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 3 [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2 [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 3 [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 2 [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 4 [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 3 [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 4 [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 5 [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 4 [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 3 [1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 3 [1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 4 [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 3 [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 3 [1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 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] => 3 [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] => 3 [1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 3 [1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 4 [1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 3 [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 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] => 3 [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] => 3 [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] => 1 [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] => 1 [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] => 1 [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] => 3 [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] => 1 [1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 1 [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] => 1 [1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 3 [1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 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] => 3 [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] => 3 [1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 3 [1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 4 [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 3 [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 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] => 3 [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] => 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] => 2 [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] => 2 [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] => 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] => 3 [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] => 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] => 2 [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] => 3 [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] => 1 [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] => 1 [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] => 0 [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] => 2 [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] => 0 [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 0 [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 1 [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 0 [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] => 1 [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 0 [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] => 0 [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] => 1 [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] => 3 [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] => 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] => 2 [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 1 [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] => 0 [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 0 [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] => 0 [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] => 2 [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] => 0 [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 0 [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 0 [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 1 [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 0 [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 3 [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] => 1 [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] => 1 [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] => 1 [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] => 3 [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] => 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] => 2 [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 1 [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 3 [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] => 3 [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] => 3 [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 3 [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 4 [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 3 [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] => 3 [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] => 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] => 2 [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] => 2 [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] => 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] => 3 [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] => 1 [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 1 [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 1 [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 1 [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] => 1 [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] => 1 [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 0 [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] => 0 [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] => 0 [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] => 2 [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] => 0 [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 0 [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] => 0 [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] => 0 [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 0 [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] => 0 [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] => 2 [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] => 0 [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 0 [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 0 [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] => 0 [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] => 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] => 2 [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] => 2 [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] => 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] => 3 [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] => 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] => 2 [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 1 [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] => 0 [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 0 [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] => 0 [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 0 [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 0 [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] => 0 [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 0 [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 0 [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 0 [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] => 0 [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] => 2 [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] => 0 [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 0 [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 0 [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 0 [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 0 [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] => 0 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 6 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 5 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 6 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 5 [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 5 [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 4 [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 5 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 6 [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 5 [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 4 [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 4 [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 5 [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 4 [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 5 [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 4 [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 3 [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 4 [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 3 [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 5 [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 4 [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 5 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 6 [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 5 [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 4 [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 4 [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 5 [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 4 [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 4 [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 3 [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 3 [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 4 [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 3 [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 4 [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 4 [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 5 [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 4 [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 3 [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 3 [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 3 [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 4 [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 3 [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 5 [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 4 [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 3 [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 4 [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 3 [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3 [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 2 [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3 [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 4 [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 3 [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] => 3 [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] => 5 [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 4 [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3 [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 4 [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 3 [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 5 [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 4 [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 5 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 6 [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 5 [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 4 [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 4 [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 5 [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 4 [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 4 [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 3 [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 3 [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 4 [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 3 [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 4 [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 4 [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 5 [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 4 [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 3 [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 3 [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 3 [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 4 [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 3 [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 4 [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 3 [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] => 3 [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] => 3 [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] => 3 [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 4 [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 3 [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] => 3 [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] => 4 [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 3 [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 3 [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 4 [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 3 [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 4 [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 4 [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 5 [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 4 [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 3 [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 3 [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 3 [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 4 [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 3 [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 3 [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] => 3 [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] => 3 [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] => 3 [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 3 [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 3 [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 4 [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 3 [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] => 3 [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] => 5 [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 4 [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 3 [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 4 [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 3 [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 3 [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2 [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 3 [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 4 [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 3 [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] => 3 [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] => 3 [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 1 [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 2 [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 1 [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 3 [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 2 [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 3 [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 4 [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 3 [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] => 3 [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] => 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] => 2 [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] => 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] => 3 [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] => 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] => 2 [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] => 5 [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 4 [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 3 [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 4 [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 3 [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 3 [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2 [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 3 [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 4 [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 3 [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] => 3 [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] => 5 [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 4 [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 3 [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 4 [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 3 [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 5 [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 4 [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 5 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 6 [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 5 [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 4 [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 4 [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 5 [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 4 [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 4 [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 3 [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 3 [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 4 [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 3 [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 4 [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 4 [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 5 [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 4 [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 3 [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 3 [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 3 [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 4 [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 3 [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 4 [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 3 [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] => 3 [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] => 3 [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] => 3 [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 4 [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 3 [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] => 3 [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] => 4 [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 3 [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 3 [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 4 [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 3 [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 4 [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 4 [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 5 [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 4 [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 3 [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 3 [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 3 [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 4 [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 3 [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 3 [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] => 3 [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] => 3 [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] => 3 [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 3 [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 3 [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 4 [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 3 [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] => 3 [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] => 4 [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 3 [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] => 3 [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] => 1 [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] => 3 [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] => 1 [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 1 [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] => 1 [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 3 [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] => 1 [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] => 1 [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 3 [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] => 3 [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 4 [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 3 [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] => 3 [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] => 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] => 2 [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] => 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] => 3 [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] => 1 [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 1 [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 1 [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] => 1 [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 4 [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 3 [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] => 3 [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] => 3 [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] => 3 [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 4 [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 3 [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] => 3 [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] => 4 [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 3 [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 3 [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 4 [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3 [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 4 [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 4 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 5 [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 4 [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 3 [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 3 [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 3 [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 4 [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 3 [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 3 [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] => 3 [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] => 3 [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] => 3 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 3 [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 3 [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 4 [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 3 [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] => 3 [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] => 3 [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] => 1 [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] => 1 [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] => 1 [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] => 3 [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] => 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] => 2 [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 1 [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] => 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] => 2 [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] => 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] => 3 [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] => 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] => 2 [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 1 [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 3 [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] => 3 [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] => 3 [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] => 3 [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 3 [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 3 [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 4 [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 3 [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] => 3 [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] => 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] => 2 [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] => 2 [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] => 2 [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] => 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] => 3 [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] => 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] => 2 [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] => 5 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 4 [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 3 [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 4 [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 3 [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 3 [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 2 [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => 3 [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => 4 [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => 3 [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 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] => 3 [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] => 3 [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 2 [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] => 2 [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] => 3 [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => 2 [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => 3 [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => 4 [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => 3 [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => 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] => 3 [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] => 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] => 2 [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] => 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] => 3 [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] => 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] => 2 [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] => 3 [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 2 [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] => 2 [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] => 1 [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] => 1 [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => 2 [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => 1 [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 0 [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 0 [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] => 0 [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 3 [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 2 [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] => 2 [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] => 3 [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 2 [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => 3 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => 4 [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => 3 [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => 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] => 3 [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] => 1 [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 1 [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] => 1 [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] => 3 [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] => 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] => 2 [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] => 2 [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] => 0 [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] => 0 [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] => 0 [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] => 2 [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] => 0 [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 0 [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] => 0 [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] => 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] => 2 [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] => 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] => 3 [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] => 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] => 2 [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => 1 [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] => 0 [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 0 [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] => 0 [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 0 [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 0 [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] => 0 [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] => 2 [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] => 0 [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => 0 [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => 0 [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => 0 [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] => 0 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 5 [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => 4 [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => 3 [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => 4 [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => 3 [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 3 [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2 [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 3 [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => 4 [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => 3 [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 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] => 3 [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] => 3 ----------------------------------------------------------------------------- Created: Aug 09, 2017 at 14:30 by Christian Stump ----------------------------------------------------------------------------- Last Updated: Aug 09, 2017 at 14:30 by Christian Stump