***************************************************************************** * 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: St001733 ----------------------------------------------------------------------------- Collection: Dyck paths ----------------------------------------------------------------------------- Description: The number of weak left to right maxima of a Dyck path. A weak left to right maximum is a peak whose height is larger than or equal to the height of all peaks to its left. ----------------------------------------------------------------------------- References: [1] Blecher, A., Knopfmacher, A. Left to right maxima in Dyck Paths [[arXiv:2107.03102]] ----------------------------------------------------------------------------- Code: def statistic(D): hts = D.heights() pks = D.peaks() ht = 0 ct = 0 for pk in pks: if hts[pk+1] >= ht: ht = hts[pk+1] ct += 1 return ct ----------------------------------------------------------------------------- Statistic values: [1,0] => 1 [1,0,1,0] => 2 [1,1,0,0] => 1 [1,0,1,0,1,0] => 3 [1,0,1,1,0,0] => 2 [1,1,0,0,1,0] => 1 [1,1,0,1,0,0] => 2 [1,1,1,0,0,0] => 1 [1,0,1,0,1,0,1,0] => 4 [1,0,1,0,1,1,0,0] => 3 [1,0,1,1,0,0,1,0] => 2 [1,0,1,1,0,1,0,0] => 3 [1,0,1,1,1,0,0,0] => 2 [1,1,0,0,1,0,1,0] => 1 [1,1,0,0,1,1,0,0] => 2 [1,1,0,1,0,0,1,0] => 2 [1,1,0,1,0,1,0,0] => 3 [1,1,0,1,1,0,0,0] => 2 [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] => 2 [1,1,1,1,0,0,0,0] => 1 [1,0,1,0,1,0,1,0,1,0] => 5 [1,0,1,0,1,0,1,1,0,0] => 4 [1,0,1,0,1,1,0,0,1,0] => 3 [1,0,1,0,1,1,0,1,0,0] => 4 [1,0,1,0,1,1,1,0,0,0] => 3 [1,0,1,1,0,0,1,0,1,0] => 2 [1,0,1,1,0,0,1,1,0,0] => 3 [1,0,1,1,0,1,0,0,1,0] => 3 [1,0,1,1,0,1,0,1,0,0] => 4 [1,0,1,1,0,1,1,0,0,0] => 3 [1,0,1,1,1,0,0,0,1,0] => 2 [1,0,1,1,1,0,0,1,0,0] => 2 [1,0,1,1,1,0,1,0,0,0] => 3 [1,0,1,1,1,1,0,0,0,0] => 2 [1,1,0,0,1,0,1,0,1,0] => 1 [1,1,0,0,1,0,1,1,0,0] => 2 [1,1,0,0,1,1,0,0,1,0] => 2 [1,1,0,0,1,1,0,1,0,0] => 3 [1,1,0,0,1,1,1,0,0,0] => 2 [1,1,0,1,0,0,1,0,1,0] => 2 [1,1,0,1,0,0,1,1,0,0] => 3 [1,1,0,1,0,1,0,0,1,0] => 3 [1,1,0,1,0,1,0,1,0,0] => 4 [1,1,0,1,0,1,1,0,0,0] => 3 [1,1,0,1,1,0,0,0,1,0] => 2 [1,1,0,1,1,0,0,1,0,0] => 2 [1,1,0,1,1,0,1,0,0,0] => 3 [1,1,0,1,1,1,0,0,0,0] => 2 [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] => 2 [1,1,1,0,1,0,0,0,1,0] => 2 [1,1,1,0,1,0,0,1,0,0] => 2 [1,1,1,0,1,0,1,0,0,0] => 3 [1,1,1,0,1,1,0,0,0,0] => 2 [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] => 2 [1,1,1,1,1,0,0,0,0,0] => 1 [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] => 5 [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] => 5 [1,0,1,0,1,0,1,1,1,0,0,0] => 4 [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] => 4 [1,0,1,0,1,1,0,1,0,0,1,0] => 4 [1,0,1,0,1,1,0,1,0,1,0,0] => 5 [1,0,1,0,1,1,0,1,1,0,0,0] => 4 [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] => 3 [1,0,1,0,1,1,1,0,1,0,0,0] => 4 [1,0,1,0,1,1,1,1,0,0,0,0] => 3 [1,0,1,1,0,0,1,0,1,0,1,0] => 2 [1,0,1,1,0,0,1,0,1,1,0,0] => 3 [1,0,1,1,0,0,1,1,0,0,1,0] => 3 [1,0,1,1,0,0,1,1,0,1,0,0] => 4 [1,0,1,1,0,0,1,1,1,0,0,0] => 3 [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] => 4 [1,0,1,1,0,1,0,1,0,0,1,0] => 4 [1,0,1,1,0,1,0,1,0,1,0,0] => 5 [1,0,1,1,0,1,0,1,1,0,0,0] => 4 [1,0,1,1,0,1,1,0,0,0,1,0] => 3 [1,0,1,1,0,1,1,0,0,1,0,0] => 3 [1,0,1,1,0,1,1,0,1,0,0,0] => 4 [1,0,1,1,0,1,1,1,0,0,0,0] => 3 [1,0,1,1,1,0,0,0,1,0,1,0] => 2 [1,0,1,1,1,0,0,0,1,1,0,0] => 2 [1,0,1,1,1,0,0,1,0,0,1,0] => 2 [1,0,1,1,1,0,0,1,0,1,0,0] => 2 [1,0,1,1,1,0,0,1,1,0,0,0] => 3 [1,0,1,1,1,0,1,0,0,0,1,0] => 3 [1,0,1,1,1,0,1,0,0,1,0,0] => 3 [1,0,1,1,1,0,1,0,1,0,0,0] => 4 [1,0,1,1,1,0,1,1,0,0,0,0] => 3 [1,0,1,1,1,1,0,0,0,0,1,0] => 2 [1,0,1,1,1,1,0,0,0,1,0,0] => 2 [1,0,1,1,1,1,0,0,1,0,0,0] => 2 [1,0,1,1,1,1,0,1,0,0,0,0] => 3 [1,0,1,1,1,1,1,0,0,0,0,0] => 2 [1,1,0,0,1,0,1,0,1,0,1,0] => 1 [1,1,0,0,1,0,1,0,1,1,0,0] => 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] => 3 [1,1,0,0,1,0,1,1,1,0,0,0] => 2 [1,1,0,0,1,1,0,0,1,0,1,0] => 2 [1,1,0,0,1,1,0,0,1,1,0,0] => 3 [1,1,0,0,1,1,0,1,0,0,1,0] => 3 [1,1,0,0,1,1,0,1,0,1,0,0] => 4 [1,1,0,0,1,1,0,1,1,0,0,0] => 3 [1,1,0,0,1,1,1,0,0,0,1,0] => 2 [1,1,0,0,1,1,1,0,0,1,0,0] => 2 [1,1,0,0,1,1,1,0,1,0,0,0] => 3 [1,1,0,0,1,1,1,1,0,0,0,0] => 2 [1,1,0,1,0,0,1,0,1,0,1,0] => 2 [1,1,0,1,0,0,1,0,1,1,0,0] => 3 [1,1,0,1,0,0,1,1,0,0,1,0] => 3 [1,1,0,1,0,0,1,1,0,1,0,0] => 4 [1,1,0,1,0,0,1,1,1,0,0,0] => 3 [1,1,0,1,0,1,0,0,1,0,1,0] => 3 [1,1,0,1,0,1,0,0,1,1,0,0] => 4 [1,1,0,1,0,1,0,1,0,0,1,0] => 4 [1,1,0,1,0,1,0,1,0,1,0,0] => 5 [1,1,0,1,0,1,0,1,1,0,0,0] => 4 [1,1,0,1,0,1,1,0,0,0,1,0] => 3 [1,1,0,1,0,1,1,0,0,1,0,0] => 3 [1,1,0,1,0,1,1,0,1,0,0,0] => 4 [1,1,0,1,0,1,1,1,0,0,0,0] => 3 [1,1,0,1,1,0,0,0,1,0,1,0] => 2 [1,1,0,1,1,0,0,0,1,1,0,0] => 2 [1,1,0,1,1,0,0,1,0,0,1,0] => 2 [1,1,0,1,1,0,0,1,0,1,0,0] => 2 [1,1,0,1,1,0,0,1,1,0,0,0] => 3 [1,1,0,1,1,0,1,0,0,0,1,0] => 3 [1,1,0,1,1,0,1,0,0,1,0,0] => 3 [1,1,0,1,1,0,1,0,1,0,0,0] => 4 [1,1,0,1,1,0,1,1,0,0,0,0] => 3 [1,1,0,1,1,1,0,0,0,0,1,0] => 2 [1,1,0,1,1,1,0,0,0,1,0,0] => 2 [1,1,0,1,1,1,0,0,1,0,0,0] => 2 [1,1,0,1,1,1,0,1,0,0,0,0] => 3 [1,1,0,1,1,1,1,0,0,0,0,0] => 2 [1,1,1,0,0,0,1,0,1,0,1,0] => 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] => 2 [1,1,1,0,0,1,1,0,0,0,1,0] => 2 [1,1,1,0,0,1,1,0,0,1,0,0] => 2 [1,1,1,0,0,1,1,0,1,0,0,0] => 3 [1,1,1,0,0,1,1,1,0,0,0,0] => 2 [1,1,1,0,1,0,0,0,1,0,1,0] => 2 [1,1,1,0,1,0,0,0,1,1,0,0] => 2 [1,1,1,0,1,0,0,1,0,0,1,0] => 2 [1,1,1,0,1,0,0,1,0,1,0,0] => 2 [1,1,1,0,1,0,0,1,1,0,0,0] => 3 [1,1,1,0,1,0,1,0,0,0,1,0] => 3 [1,1,1,0,1,0,1,0,0,1,0,0] => 3 [1,1,1,0,1,0,1,0,1,0,0,0] => 4 [1,1,1,0,1,0,1,1,0,0,0,0] => 3 [1,1,1,0,1,1,0,0,0,0,1,0] => 2 [1,1,1,0,1,1,0,0,0,1,0,0] => 2 [1,1,1,0,1,1,0,0,1,0,0,0] => 2 [1,1,1,0,1,1,0,1,0,0,0,0] => 3 [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] => 2 [1,1,1,1,0,1,0,0,0,0,1,0] => 2 [1,1,1,1,0,1,0,0,0,1,0,0] => 2 [1,1,1,1,0,1,0,0,1,0,0,0] => 2 [1,1,1,1,0,1,0,1,0,0,0,0] => 3 [1,1,1,1,0,1,1,0,0,0,0,0] => 2 [1,1,1,1,1,0,0,0,0,0,1,0] => 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] => 2 [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] => 7 [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 6 [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] => 6 [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 5 [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] => 5 [1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 5 [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 6 [1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 5 [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] => 4 [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 5 [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 4 [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 3 [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 4 [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 4 [1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 5 [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 4 [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] => 5 [1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 5 [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 6 [1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 5 [1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 4 [1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 4 [1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 5 [1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 4 [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] => 3 [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] => 3 [1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 4 [1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 4 [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 4 [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 5 [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 4 [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] => 3 [1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 3 [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 4 [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 3 [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 2 [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 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] => 4 [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 3 [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] => 4 [1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 4 [1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 5 [1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 4 [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 3 [1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3 [1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 4 [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 3 [1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 3 [1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 4 [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 4 [1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 5 [1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 4 [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] => 5 [1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 5 [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 6 [1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 5 [1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 4 [1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 4 [1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 5 [1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 4 [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] => 3 [1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 3 [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] => 4 [1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 4 [1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 4 [1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 5 [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 4 [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 3 [1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 3 [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 3 [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 4 [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 3 [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 2 [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 2 [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 2 [1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 2 [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 3 [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 2 [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 2 [1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 2 [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 2 [1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 3 [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 3 [1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 3 [1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 4 [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 3 [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] => 3 [1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 3 [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] => 4 [1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 4 [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 4 [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 5 [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 4 [1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 3 [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 3 [1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 3 [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 4 [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 3 [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 2 [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 2 [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 2 [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 2 [1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 2 [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 2 [1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 2 [1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 2 [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 3 [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 3 [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 3 [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 3 [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 4 [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 3 [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 2 [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 2 [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 2 [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 2 [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 3 [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 2 [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1 [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2 [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] => 3 [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 3 [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 4 [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 3 [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 2 [1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 2 [1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 3 [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 2 [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2 [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 3 [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 3 [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 4 [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 3 [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 3 [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 4 [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 4 [1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 5 [1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 4 [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 3 [1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 3 [1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 4 [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 3 [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 2 [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 2 [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 2 [1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 2 [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 3 [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 3 [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 3 [1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 4 [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 3 [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 2 [1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 2 [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 2 [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 3 [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 2 [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2 [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 3 [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 3 [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 4 [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 3 [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 3 [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 4 [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 4 [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 5 [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 4 [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 3 [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 3 [1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 4 [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 3 [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3 [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 4 [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 4 [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 5 [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 4 [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] => 5 [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 5 [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 6 [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 5 [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 4 [1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 4 [1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 5 [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 4 [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 3 [1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 3 [1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 3 [1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 3 [1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 4 [1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 4 [1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 4 [1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 5 [1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 4 [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 3 [1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 3 [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 3 [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 4 [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 3 [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 2 [1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 2 [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 2 [1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 2 [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 3 [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 2 [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 2 [1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 2 [1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 2 [1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 3 [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 3 [1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 3 [1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 4 [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 3 [1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 3 [1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 3 [1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 3 [1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 3 [1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 4 [1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 4 [1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 4 [1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 5 [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 4 [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 3 [1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 3 [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 3 [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 4 [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 3 [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 2 [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2 [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 2 [1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 2 [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 2 [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 2 [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 2 [1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 2 [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 3 [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 3 [1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 3 [1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 3 [1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 4 [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 3 [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2 [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 2 [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 2 [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 2 [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 3 [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 2 [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 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] => 2 [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 2 [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 2 [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 3 [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] => 2 [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 2 [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 2 [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3 [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 2 [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 2 [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2 [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 2 [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 2 [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3 [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 3 [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 3 [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 4 [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 3 [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] => 3 [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 2 [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 2 [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 2 [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 2 [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 2 [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3 [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 2 [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 2 [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 2 [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 2 [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 3 [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3 [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 3 [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 4 [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3 [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] => 3 [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 3 [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] => 4 [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 4 [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 4 [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 5 [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 4 [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 3 [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 3 [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 3 [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 4 [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 3 [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 2 [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2 [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 2 [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 2 [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 2 [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 2 [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 2 [1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 2 [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 3 [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 3 [1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 3 [1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 3 [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 4 [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 3 [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] => 3 [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] => 1 [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] => 2 [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 2 [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 2 [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 2 [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 3 [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 2 [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 2 [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 2 [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 2 [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 2 [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 2 [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 2 [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 2 [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 2 [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 3 [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 3 [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 3 [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 3 [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 4 [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 3 [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 2 [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 2 [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 2 [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 2 [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 3 [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] => 2 [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2 [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 2 [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 2 [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 2 [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 3 [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 2 [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 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] => 2 [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] => 8 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 7 [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] => 7 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 6 [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] => 6 [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 6 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 7 [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 6 [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] => 5 [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 6 [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 5 [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 4 [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 5 [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 5 [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 6 [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 5 [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] => 6 [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 6 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 7 [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 6 [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 5 [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 5 [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 6 [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 5 [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] => 4 [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] => 4 [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 5 [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 5 [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 5 [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 6 [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 5 [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] => 4 [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 4 [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 5 [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 4 [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 3 [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] => 5 [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 4 [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] => 5 [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 5 [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 6 [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 5 [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 4 [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 4 [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 5 [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4 [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 4 [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 5 [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 5 [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 6 [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 5 [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] => 6 [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 6 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 7 [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 6 [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 5 [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 5 [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 6 [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 5 [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] => 4 [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 4 [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] => 5 [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 5 [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 5 [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 6 [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 5 [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 4 [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 4 [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 4 [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 5 [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 4 [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 3 [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] => 3 [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 4 [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] => 3 [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] => 3 [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 4 [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 4 [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 4 [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 5 [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 4 [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] => 4 [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 4 [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] => 5 [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 5 [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 5 [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 6 [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 5 [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 4 [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 4 [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 4 [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 5 [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 4 [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] => 3 [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] => 3 [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 3 [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] => 3 [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] => 4 [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 4 [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 4 [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 4 [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 5 [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 4 [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] => 3 [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 3 [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 3 [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 4 [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 3 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 2 [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 3 [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] => 4 [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 4 [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 5 [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 4 [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] => 3 [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 4 [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 3 [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] => 4 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 4 [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 5 [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 4 [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 4 [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 5 [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 5 [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 6 [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 5 [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 4 [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 4 [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 5 [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 4 [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] => 3 [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 3 [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 3 [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 4 [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 4 [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 4 [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 5 [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 4 [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 3 [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 3 [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 3 [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 4 [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 3 [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 3 [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] => 4 [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 5 [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 4 [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 4 [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 5 [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 5 [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 6 [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 5 [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 4 [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 4 [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 5 [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 4 [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] => 5 [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 5 [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 6 [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 5 [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] => 6 [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 6 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7 [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 6 [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 5 [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 5 [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 6 [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 5 [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] => 4 [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 4 [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] => 5 [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 5 [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 5 [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 6 [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 5 [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 4 [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 4 [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 4 [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 5 [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 4 [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 3 [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] => 3 [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] => 4 [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] => 3 [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] => 3 [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 4 [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 4 [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 4 [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 5 [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 4 [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] => 4 [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 4 [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] => 5 [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 5 [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 5 [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 6 [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 5 [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 4 [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 4 [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 4 [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 5 [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 4 [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] => 3 [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 3 [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] => 3 [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 3 [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 3 [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] => 4 [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 4 [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 4 [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 4 [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 5 [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 4 [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 3 [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 3 [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 3 [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 3 [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 4 [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 3 [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 2 [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 2 [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 2 [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 2 [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3 [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 2 [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 2 [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 2 [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 2 [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 3 [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 3 [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3 [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 4 [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3 [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 2 [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 2 [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2 [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 2 [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3 [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 2 [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 2 [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 2 [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 2 [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 3 [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 3 [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3 [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 4 [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3 [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] => 3 [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 3 [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3 [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 4 [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 4 [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 4 [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 5 [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 4 [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 3 [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3 [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 3 [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 4 [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3 [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 3 [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] => 3 [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] => 4 [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] => 3 [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] => 3 [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 4 [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 4 [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 4 [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 5 [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 4 [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] => 4 [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 4 [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] => 5 [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 5 [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 5 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 6 [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 5 [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 4 [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 4 [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 4 [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 5 [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 4 [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] => 3 [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 3 [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] => 3 [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 3 [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 3 [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] => 4 [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 4 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 4 [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 4 [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 5 [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 4 [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 3 [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 3 [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 3 [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 3 [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 4 [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 3 [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 2 [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 2 [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 2 [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 2 [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 2 [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 2 [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2 [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 2 [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 2 [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 2 [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2 [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 2 [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 2 [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 3 [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 2 [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2 [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 2 [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 2 [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 2 [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 2 [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 2 [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 2 [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 3 [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 3 [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 3 [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 3 [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 4 [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 3 [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] => 3 [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 3 [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] => 3 [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 3 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 3 [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] => 4 [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 4 [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 4 [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 4 [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 5 [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 4 [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 3 [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 3 [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 3 [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 3 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 4 [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 3 [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 2 [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 2 [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 2 [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 2 [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 2 [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 2 [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 2 [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 2 [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 2 [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 2 [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 2 [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 2 [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 2 [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 3 [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 3 [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 3 [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 3 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 3 [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 4 [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 3 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2 [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 2 [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 2 [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 2 [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 2 [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 3 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 2 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 2 [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 2 [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] => 2 [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 2 [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 3 [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => 3 [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => 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] => 2 [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 3 [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 3 [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => 4 [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 3 [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => 3 [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => 4 [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => 4 [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => 5 [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => 4 [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => 3 [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => 3 [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => 4 [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => 3 [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 2 [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 2 [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => 2 [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => 2 [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => 3 [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => 3 [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => 3 [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => 4 [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => 3 [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 2 [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => 2 [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => 2 [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => 3 [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 2 [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 2 [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 3 [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 3 [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => 4 [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 3 [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 4 [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 4 [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => 5 [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => 4 [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 3 [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3 [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => 4 [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 3 [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 3 [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 4 [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 4 [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 5 [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 4 [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 4 [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 5 [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => 5 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => 6 [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => 5 [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => 4 [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => 4 [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => 5 [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => 4 [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 3 [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 3 [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 3 [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => 3 [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => 4 [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => 4 [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => 4 [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => 5 [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => 4 [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => 3 [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => 3 [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => 3 [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => 4 [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => 3 [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 2 [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 2 [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 2 [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 2 [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 3 [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 2 [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 2 [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 2 [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => 2 [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => 3 [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 3 [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 3 [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => 4 [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => 3 [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 3 [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 3 [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 3 [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => 3 [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => 4 [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => 4 [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => 4 [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => 5 [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => 4 [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => 3 [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => 3 [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => 3 [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => 4 [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => 3 [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 2 [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 2 [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 2 [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => 2 [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => 2 [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 2 [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 2 [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => 2 [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => 3 [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => 3 [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => 3 [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => 3 [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => 4 [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => 3 [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 2 [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => 2 [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => 2 [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => 2 [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => 3 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 2 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 2 [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] => 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] => 4 [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 4 [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => 5 [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => 4 [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 3 [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 3 [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => 4 [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => 3 ----------------------------------------------------------------------------- Created: Jul 09, 2021 at 10:39 by Martin Rubey ----------------------------------------------------------------------------- Last Updated: Jul 09, 2021 at 10:39 by Martin Rubey