***************************************************************************** * 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: St000674 ----------------------------------------------------------------------------- Collection: Dyck paths ----------------------------------------------------------------------------- Description: The number of hills of a Dyck path. A hill is a peak with up step starting and down step ending at height zero. ----------------------------------------------------------------------------- References: [1] Elizalde, S., Deutsch, E. A simple and unusual bijection for Dyck paths and its consequences [[MathSciNet:2028229]] ----------------------------------------------------------------------------- Code: def statistic(D): H = D.heights() return len([p for p in D.peaks() if H[p] == 0]) ----------------------------------------------------------------------------- Statistic values: [1,0,1,0] => 2 [1,1,0,0] => 0 [1,0,1,0,1,0] => 3 [1,0,1,1,0,0] => 1 [1,1,0,0,1,0] => 1 [1,1,0,1,0,0] => 0 [1,1,1,0,0,0] => 0 [1,0,1,0,1,0,1,0] => 4 [1,0,1,0,1,1,0,0] => 2 [1,0,1,1,0,0,1,0] => 2 [1,0,1,1,0,1,0,0] => 1 [1,0,1,1,1,0,0,0] => 1 [1,1,0,0,1,0,1,0] => 2 [1,1,0,0,1,1,0,0] => 0 [1,1,0,1,0,0,1,0] => 1 [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] => 0 [1,1,1,0,1,0,0,0] => 0 [1,1,1,1,0,0,0,0] => 0 [1,0,1,0,1,0,1,0,1,0] => 5 [1,0,1,0,1,0,1,1,0,0] => 3 [1,0,1,0,1,1,0,0,1,0] => 3 [1,0,1,0,1,1,0,1,0,0] => 2 [1,0,1,0,1,1,1,0,0,0] => 2 [1,0,1,1,0,0,1,0,1,0] => 3 [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] => 1 [1,0,1,1,0,1,1,0,0,0] => 1 [1,0,1,1,1,0,0,0,1,0] => 2 [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] => 3 [1,1,0,0,1,0,1,1,0,0] => 1 [1,1,0,0,1,1,0,0,1,0] => 1 [1,1,0,0,1,1,0,1,0,0] => 0 [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] => 0 [1,1,0,1,0,1,0,0,1,0] => 1 [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] => 1 [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] => 0 [1,1,1,0,0,0,1,0,1,0] => 2 [1,1,1,0,0,0,1,1,0,0] => 0 [1,1,1,0,0,1,0,0,1,0] => 1 [1,1,1,0,0,1,0,1,0,0] => 0 [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] => 0 [1,1,1,0,1,0,1,0,0,0] => 0 [1,1,1,0,1,1,0,0,0,0] => 0 [1,1,1,1,0,0,0,0,1,0] => 1 [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] => 0 [1,1,1,1,1,0,0,0,0,0] => 0 [1,0,1,0,1,0,1,0,1,0,1,0] => 6 [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] => 4 [1,0,1,0,1,0,1,1,0,1,0,0] => 3 [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] => 4 [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] => 2 [1,0,1,0,1,1,0,1,1,0,0,0] => 2 [1,0,1,0,1,1,1,0,0,0,1,0] => 3 [1,0,1,0,1,1,1,0,0,1,0,0] => 2 [1,0,1,0,1,1,1,0,1,0,0,0] => 2 [1,0,1,0,1,1,1,1,0,0,0,0] => 2 [1,0,1,1,0,0,1,0,1,0,1,0] => 4 [1,0,1,1,0,0,1,0,1,1,0,0] => 2 [1,0,1,1,0,0,1,1,0,0,1,0] => 2 [1,0,1,1,0,0,1,1,0,1,0,0] => 1 [1,0,1,1,0,0,1,1,1,0,0,0] => 1 [1,0,1,1,0,1,0,0,1,0,1,0] => 3 [1,0,1,1,0,1,0,0,1,1,0,0] => 1 [1,0,1,1,0,1,0,1,0,0,1,0] => 2 [1,0,1,1,0,1,0,1,0,1,0,0] => 1 [1,0,1,1,0,1,0,1,1,0,0,0] => 1 [1,0,1,1,0,1,1,0,0,0,1,0] => 2 [1,0,1,1,0,1,1,0,0,1,0,0] => 1 [1,0,1,1,0,1,1,0,1,0,0,0] => 1 [1,0,1,1,0,1,1,1,0,0,0,0] => 1 [1,0,1,1,1,0,0,0,1,0,1,0] => 3 [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] => 2 [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] => 2 [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] => 2 [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] => 4 [1,1,0,0,1,0,1,0,1,1,0,0] => 2 [1,1,0,0,1,0,1,1,0,0,1,0] => 2 [1,1,0,0,1,0,1,1,0,1,0,0] => 1 [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] => 2 [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] => 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] => 0 [1,1,0,0,1,1,1,0,1,0,0,0] => 0 [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] => 1 [1,1,0,1,0,0,1,1,0,0,1,0] => 1 [1,1,0,1,0,0,1,1,0,1,0,0] => 0 [1,1,0,1,0,0,1,1,1,0,0,0] => 0 [1,1,0,1,0,1,0,0,1,0,1,0] => 2 [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] => 1 [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] => 1 [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] => 0 [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] => 0 [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] => 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] => 1 [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] => 0 [1,1,0,1,1,1,0,0,1,0,0,0] => 0 [1,1,0,1,1,1,0,1,0,0,0,0] => 0 [1,1,0,1,1,1,1,0,0,0,0,0] => 0 [1,1,1,0,0,0,1,0,1,0,1,0] => 3 [1,1,1,0,0,0,1,0,1,1,0,0] => 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] => 0 [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] => 2 [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] => 0 [1,1,1,0,0,1,0,1,1,0,0,0] => 0 [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] => 0 [1,1,1,0,0,1,1,0,1,0,0,0] => 0 [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] => 0 [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] => 0 [1,1,1,0,1,0,0,1,1,0,0,0] => 0 [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] => 0 [1,1,1,0,1,0,1,0,1,0,0,0] => 0 [1,1,1,0,1,0,1,1,0,0,0,0] => 0 [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] => 0 [1,1,1,0,1,1,0,0,1,0,0,0] => 0 [1,1,1,0,1,1,0,1,0,0,0,0] => 0 [1,1,1,0,1,1,1,0,0,0,0,0] => 0 [1,1,1,1,0,0,0,0,1,0,1,0] => 2 [1,1,1,1,0,0,0,0,1,1,0,0] => 0 [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] => 0 [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] => 1 [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] => 0 [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] => 0 [1,1,1,1,0,1,0,0,1,0,0,0] => 0 [1,1,1,1,0,1,0,1,0,0,0,0] => 0 [1,1,1,1,0,1,1,0,0,0,0,0] => 0 [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] => 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] => 0 [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] => 7 [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] => 5 [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 4 [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] => 5 [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] => 3 [1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 3 [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 4 [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] => 3 [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] => 5 [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] => 3 [1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 2 [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 2 [1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 4 [1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 2 [1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 3 [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 2 [1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 2 [1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 3 [1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 2 [1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 2 [1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 2 [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 4 [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] => 3 [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 2 [1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 2 [1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 3 [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 2 [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 2 [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 2 [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 3 [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 2 [1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 2 [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 2 [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 2 [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 5 [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] => 3 [1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 2 [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 2 [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3 [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] => 1 [1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 1 [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 2 [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] => 4 [1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 2 [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 2 [1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 1 [1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 1 [1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 3 [1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 1 [1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 2 [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 1 [1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 1 [1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 2 [1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 1 [1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 1 [1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 1 [1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 3 [1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 1 [1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 2 [1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 1 [1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 1 [1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 2 [1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 1 [1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 1 [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 1 [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 2 [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] => 4 [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 2 [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 2 [1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 1 [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 1 [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3 [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] => 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] => 2 [1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 1 [1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 1 [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 1 [1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 3 [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] => 2 [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] => 2 [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] => 2 [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 1 [1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 1 [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 1 [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 1 [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 3 [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] => 2 [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] => 2 [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] => 2 [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] => 2 [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] => 5 [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 3 [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 3 [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2 [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2 [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 3 [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] => 1 [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 1 [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 2 [1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 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] => 3 [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 1 [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 1 [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 0 [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] => 0 [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 1 [1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 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] => 1 [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] => 0 [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 2 [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 0 [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] => 0 [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] => 0 [1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 0 [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 0 [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] => 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] => 0 [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] => 2 [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] => 1 [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] => 2 [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] => 1 [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] => 0 [1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 0 [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 0 [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3 [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 1 [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 1 [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 0 [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 0 [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 2 [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] => 1 [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] => 1 [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] => 0 [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 2 [1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 0 [1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 1 [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] => 1 [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] => 0 [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 0 [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 0 [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 0 [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] => 1 [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] => 0 [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 0 [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] => 0 [1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 1 [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] => 1 [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] => 0 [1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 2 [1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 0 [1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 1 [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] => 1 [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] => 1 [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] => 0 [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] => 0 [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] => 0 [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 0 [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] => 0 [1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 0 [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 0 [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] => 0 [1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 0 [1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 0 [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 0 [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] => 0 [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 0 [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 0 [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 0 [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 0 [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 4 [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 2 [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 2 [1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 1 [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] => 2 [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] => 0 [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 0 [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 1 [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] => 0 [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] => 3 [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] => 0 [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] => 0 [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] => 0 [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 0 [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] => 0 [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 0 [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 0 [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 2 [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 0 [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] => 0 [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] => 0 [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 0 [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 0 [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 1 [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] => 0 [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] => 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] => 0 [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 0 [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] => 0 [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] => 0 [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 0 [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] => 0 [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 0 [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 0 [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 2 [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 0 [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] => 0 [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 0 [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] => 0 [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 0 [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 0 [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] => 0 [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 0 [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 0 [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 0 [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] => 0 [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] => 0 [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 0 [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] => 0 [1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 0 [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 0 [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] => 0 [1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 0 [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 0 [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 0 [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] => 0 [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 0 [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 0 [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 0 [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 0 [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 3 [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] => 0 [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] => 2 [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] => 0 [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 0 [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] => 0 [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 0 [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] => 2 [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] => 1 [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 0 [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] => 0 [1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 0 [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 0 [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] => 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] => 0 [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] => 0 [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] => 0 [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 0 [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] => 0 [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 0 [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 0 [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] => 0 [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 0 [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 0 [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 0 [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] => 0 [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 0 [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 0 [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 0 [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 0 [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 2 [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 0 [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] => 0 [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] => 1 [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] => 0 [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] => 1 [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] => 0 [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] => 0 [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 0 [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 0 [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 0 [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 0 [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] => 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] => 0 [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] => 8 [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] => 6 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 5 [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] => 6 [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] => 4 [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 4 [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 5 [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] => 4 [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] => 6 [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] => 4 [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 3 [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] => 3 [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 4 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 3 [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 3 [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] => 3 [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 3 [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 3 [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 5 [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] => 4 [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 3 [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] => 3 [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 3 [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 3 [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 4 [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] => 3 [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] => 6 [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] => 4 [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 3 [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] => 4 [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] => 2 [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 2 [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 3 [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 2 [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 2 [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 2 [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 5 [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 3 [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] => 2 [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 2 [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 4 [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 2 [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 3 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 2 [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 2 [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 3 [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 2 [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 2 [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 2 [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 4 [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 2 [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 3 [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 2 [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 2 [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 3 [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 2 [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 2 [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 2 [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 3 [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 2 [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 2 [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 2 [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 2 [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 5 [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] => 3 [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 2 [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 2 [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 4 [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] => 2 [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 2 [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 3 [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 2 [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 2 [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 2 [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 4 [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 2 [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 3 [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 2 [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 2 [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 3 [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 2 [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 2 [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 2 [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 3 [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 2 [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 2 [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 2 [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 2 [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 4 [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] => 3 [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 2 [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 2 [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 3 [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 2 [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 2 [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 2 [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 3 [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 2 [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 2 [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 2 [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 2 [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 3 [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 2 [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 2 [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 2 [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 2 [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 2 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 6 [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] => 4 [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 3 [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] => 4 [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] => 2 [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 2 [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 3 [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 2 [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 2 [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 2 [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 4 [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2 [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 1 [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] => 1 [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 2 [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 1 [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 1 [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] => 1 [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 1 [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] => 3 [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] => 2 [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] => 2 [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] => 2 [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] => 5 [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 3 [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] => 2 [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 2 [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 3 [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 1 [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 2 [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 1 [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 1 [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] => 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] => 4 [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2 [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2 [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 1 [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] => 3 [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 1 [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 2 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 1 [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 1 [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 2 [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 1 [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 1 [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] => 3 [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 1 [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 2 [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 1 [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 1 [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 2 [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 1 [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 1 [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 1 [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 2 [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 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] => 4 [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 2 [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 2 [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 1 [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] => 3 [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 1 [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 2 [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 1 [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 1 [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] => 1 [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 1 [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] => 3 [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 1 [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 2 [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 1 [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 1 [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 2 [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 1 [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 1 [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 1 [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 2 [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 1 [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 1 [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 1 [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] => 3 [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] => 2 [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] => 2 [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] => 2 [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] => 2 [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] => 5 [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] => 3 [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 2 [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 2 [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 3 [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] => 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] => 1 [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 1 [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] => 4 [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 2 [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2 [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 1 [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] => 1 [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 2 [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 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] => 2 [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] => 1 [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 3 [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] => 2 [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] => 2 [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] => 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] => 1 [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] => 2 [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 2 [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 1 [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 1 [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] => 1 [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 2 [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 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] => 2 [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] => 1 [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 3 [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] => 2 [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] => 2 [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] => 2 [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] => 1 [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] => 1 [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] => 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] => 2 [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] => 2 [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] => 1 [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 1 [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 1 [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 1 [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 1 [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 4 [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 2 [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 2 [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 1 [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] => 3 [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] => 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] => 2 [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] => 1 [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 3 [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] => 2 [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] => 2 [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] => 2 [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] => 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] => 1 [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] => 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] => 2 [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] => 2 [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] => 2 [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] => 1 [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 3 [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] => 2 [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] => 2 [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] => 2 [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] => 2 [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] => 2 [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] => 6 [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] => 4 [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 3 [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 3 [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 4 [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] => 2 [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => 2 [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 3 [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => 2 [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => 2 [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 2 [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 4 [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] => 2 [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => 1 [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 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] => 1 [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => 2 [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => 1 [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => 1 [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] => 1 [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => 1 [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] => 3 [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] => 2 [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] => 2 [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] => 2 [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] => 4 [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] => 2 [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => 1 [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 1 [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 2 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 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] => 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] => 0 [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => 0 [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] => 1 [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 1 [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 0 [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 0 [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 2 [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] => 1 [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] => 1 [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] => 0 [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] => 0 [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] => 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] => 1 [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] => 0 [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => 0 [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => 0 [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => 0 [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 3 [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 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] => 0 [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] => 2 [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] => 0 [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => 0 [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] => 0 [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => 0 [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] => 0 [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] => 0 [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => 0 [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] => 0 [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => 0 [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => 0 [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] => 0 [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => 0 [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => 0 [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => 0 [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 2 [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 0 [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] => 0 [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] => 1 [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] => 0 [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] => 0 [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => 0 [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => 0 [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => 0 [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] => 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] => 0 [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] => 3 [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => 3 [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2 [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2 [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 3 [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 1 [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 2 [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => 1 [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => 1 [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] => 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] => 3 ----------------------------------------------------------------------------- Created: Dec 26, 2016 at 23:37 by Martin Rubey ----------------------------------------------------------------------------- Last Updated: Dec 26, 2016 at 23:37 by Martin Rubey