***************************************************************************** * 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: St001031 ----------------------------------------------------------------------------- Collection: Dyck paths ----------------------------------------------------------------------------- Description: The height of the bicoloured Motzkin path associated with the Dyck path. ----------------------------------------------------------------------------- References: ----------------------------------------------------------------------------- Code: def statistic(D): h = 0 H = 0 for i in range(D.semilength()): s = D[2*i], D[2*i+1] if s == (1,1): h +=1 elif s == (0,0): h -=1 H = max(h, H) return H ----------------------------------------------------------------------------- Statistic values: [1,0,1,0] => 0 [1,1,0,0] => 1 [1,0,1,0,1,0] => 0 [1,0,1,1,0,0] => 1 [1,1,0,0,1,0] => 1 [1,1,0,1,0,0] => 1 [1,1,1,0,0,0] => 1 [1,0,1,0,1,0,1,0] => 0 [1,0,1,0,1,1,0,0] => 1 [1,0,1,1,0,0,1,0] => 1 [1,0,1,1,0,1,0,0] => 1 [1,0,1,1,1,0,0,0] => 1 [1,1,0,0,1,0,1,0] => 1 [1,1,0,0,1,1,0,0] => 1 [1,1,0,1,0,0,1,0] => 1 [1,1,0,1,0,1,0,0] => 1 [1,1,0,1,1,0,0,0] => 1 [1,1,1,0,0,0,1,0] => 1 [1,1,1,0,0,1,0,0] => 1 [1,1,1,0,1,0,0,0] => 1 [1,1,1,1,0,0,0,0] => 2 [1,0,1,0,1,0,1,0,1,0] => 0 [1,0,1,0,1,0,1,1,0,0] => 1 [1,0,1,0,1,1,0,0,1,0] => 1 [1,0,1,0,1,1,0,1,0,0] => 1 [1,0,1,0,1,1,1,0,0,0] => 1 [1,0,1,1,0,0,1,0,1,0] => 1 [1,0,1,1,0,0,1,1,0,0] => 1 [1,0,1,1,0,1,0,0,1,0] => 1 [1,0,1,1,0,1,0,1,0,0] => 1 [1,0,1,1,0,1,1,0,0,0] => 1 [1,0,1,1,1,0,0,0,1,0] => 1 [1,0,1,1,1,0,0,1,0,0] => 1 [1,0,1,1,1,0,1,0,0,0] => 1 [1,0,1,1,1,1,0,0,0,0] => 2 [1,1,0,0,1,0,1,0,1,0] => 1 [1,1,0,0,1,0,1,1,0,0] => 1 [1,1,0,0,1,1,0,0,1,0] => 1 [1,1,0,0,1,1,0,1,0,0] => 1 [1,1,0,0,1,1,1,0,0,0] => 1 [1,1,0,1,0,0,1,0,1,0] => 1 [1,1,0,1,0,0,1,1,0,0] => 1 [1,1,0,1,0,1,0,0,1,0] => 1 [1,1,0,1,0,1,0,1,0,0] => 1 [1,1,0,1,0,1,1,0,0,0] => 1 [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] => 1 [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] => 1 [1,1,1,0,1,0,0,0,1,0] => 1 [1,1,1,0,1,0,0,1,0,0] => 1 [1,1,1,0,1,0,1,0,0,0] => 1 [1,1,1,0,1,1,0,0,0,0] => 2 [1,1,1,1,0,0,0,0,1,0] => 2 [1,1,1,1,0,0,0,1,0,0] => 2 [1,1,1,1,0,0,1,0,0,0] => 2 [1,1,1,1,0,1,0,0,0,0] => 2 [1,1,1,1,1,0,0,0,0,0] => 2 [1,0,1,0,1,0,1,0,1,0,1,0] => 0 [1,0,1,0,1,0,1,0,1,1,0,0] => 1 [1,0,1,0,1,0,1,1,0,0,1,0] => 1 [1,0,1,0,1,0,1,1,0,1,0,0] => 1 [1,0,1,0,1,0,1,1,1,0,0,0] => 1 [1,0,1,0,1,1,0,0,1,0,1,0] => 1 [1,0,1,0,1,1,0,0,1,1,0,0] => 1 [1,0,1,0,1,1,0,1,0,0,1,0] => 1 [1,0,1,0,1,1,0,1,0,1,0,0] => 1 [1,0,1,0,1,1,0,1,1,0,0,0] => 1 [1,0,1,0,1,1,1,0,0,0,1,0] => 1 [1,0,1,0,1,1,1,0,0,1,0,0] => 1 [1,0,1,0,1,1,1,0,1,0,0,0] => 1 [1,0,1,0,1,1,1,1,0,0,0,0] => 2 [1,0,1,1,0,0,1,0,1,0,1,0] => 1 [1,0,1,1,0,0,1,0,1,1,0,0] => 1 [1,0,1,1,0,0,1,1,0,0,1,0] => 1 [1,0,1,1,0,0,1,1,0,1,0,0] => 1 [1,0,1,1,0,0,1,1,1,0,0,0] => 1 [1,0,1,1,0,1,0,0,1,0,1,0] => 1 [1,0,1,1,0,1,0,0,1,1,0,0] => 1 [1,0,1,1,0,1,0,1,0,0,1,0] => 1 [1,0,1,1,0,1,0,1,0,1,0,0] => 1 [1,0,1,1,0,1,0,1,1,0,0,0] => 1 [1,0,1,1,0,1,1,0,0,0,1,0] => 1 [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] => 2 [1,0,1,1,1,0,0,0,1,0,1,0] => 1 [1,0,1,1,1,0,0,0,1,1,0,0] => 1 [1,0,1,1,1,0,0,1,0,0,1,0] => 1 [1,0,1,1,1,0,0,1,0,1,0,0] => 1 [1,0,1,1,1,0,0,1,1,0,0,0] => 1 [1,0,1,1,1,0,1,0,0,0,1,0] => 1 [1,0,1,1,1,0,1,0,0,1,0,0] => 1 [1,0,1,1,1,0,1,0,1,0,0,0] => 1 [1,0,1,1,1,0,1,1,0,0,0,0] => 2 [1,0,1,1,1,1,0,0,0,0,1,0] => 2 [1,0,1,1,1,1,0,0,0,1,0,0] => 2 [1,0,1,1,1,1,0,0,1,0,0,0] => 2 [1,0,1,1,1,1,0,1,0,0,0,0] => 2 [1,0,1,1,1,1,1,0,0,0,0,0] => 2 [1,1,0,0,1,0,1,0,1,0,1,0] => 1 [1,1,0,0,1,0,1,0,1,1,0,0] => 1 [1,1,0,0,1,0,1,1,0,0,1,0] => 1 [1,1,0,0,1,0,1,1,0,1,0,0] => 1 [1,1,0,0,1,0,1,1,1,0,0,0] => 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] => 1 [1,1,0,0,1,1,0,1,0,0,1,0] => 1 [1,1,0,0,1,1,0,1,0,1,0,0] => 1 [1,1,0,0,1,1,0,1,1,0,0,0] => 1 [1,1,0,0,1,1,1,0,0,0,1,0] => 1 [1,1,0,0,1,1,1,0,0,1,0,0] => 1 [1,1,0,0,1,1,1,0,1,0,0,0] => 1 [1,1,0,0,1,1,1,1,0,0,0,0] => 2 [1,1,0,1,0,0,1,0,1,0,1,0] => 1 [1,1,0,1,0,0,1,0,1,1,0,0] => 1 [1,1,0,1,0,0,1,1,0,0,1,0] => 1 [1,1,0,1,0,0,1,1,0,1,0,0] => 1 [1,1,0,1,0,0,1,1,1,0,0,0] => 1 [1,1,0,1,0,1,0,0,1,0,1,0] => 1 [1,1,0,1,0,1,0,0,1,1,0,0] => 1 [1,1,0,1,0,1,0,1,0,0,1,0] => 1 [1,1,0,1,0,1,0,1,0,1,0,0] => 1 [1,1,0,1,0,1,0,1,1,0,0,0] => 1 [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] => 1 [1,1,0,1,0,1,1,0,1,0,0,0] => 1 [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] => 1 [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] => 1 [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] => 1 [1,1,0,1,1,0,1,0,0,1,0,0] => 1 [1,1,0,1,1,0,1,0,1,0,0,0] => 1 [1,1,0,1,1,0,1,1,0,0,0,0] => 2 [1,1,0,1,1,1,0,0,0,0,1,0] => 2 [1,1,0,1,1,1,0,0,0,1,0,0] => 2 [1,1,0,1,1,1,0,0,1,0,0,0] => 2 [1,1,0,1,1,1,0,1,0,0,0,0] => 2 [1,1,0,1,1,1,1,0,0,0,0,0] => 2 [1,1,1,0,0,0,1,0,1,0,1,0] => 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] => 1 [1,1,1,0,0,1,0,0,1,0,1,0] => 1 [1,1,1,0,0,1,0,0,1,1,0,0] => 1 [1,1,1,0,0,1,0,1,0,0,1,0] => 1 [1,1,1,0,0,1,0,1,0,1,0,0] => 1 [1,1,1,0,0,1,0,1,1,0,0,0] => 1 [1,1,1,0,0,1,1,0,0,0,1,0] => 1 [1,1,1,0,0,1,1,0,0,1,0,0] => 1 [1,1,1,0,0,1,1,0,1,0,0,0] => 1 [1,1,1,0,0,1,1,1,0,0,0,0] => 2 [1,1,1,0,1,0,0,0,1,0,1,0] => 1 [1,1,1,0,1,0,0,0,1,1,0,0] => 1 [1,1,1,0,1,0,0,1,0,0,1,0] => 1 [1,1,1,0,1,0,0,1,0,1,0,0] => 1 [1,1,1,0,1,0,0,1,1,0,0,0] => 1 [1,1,1,0,1,0,1,0,0,0,1,0] => 1 [1,1,1,0,1,0,1,0,0,1,0,0] => 1 [1,1,1,0,1,0,1,0,1,0,0,0] => 1 [1,1,1,0,1,0,1,1,0,0,0,0] => 2 [1,1,1,0,1,1,0,0,0,0,1,0] => 2 [1,1,1,0,1,1,0,0,0,1,0,0] => 2 [1,1,1,0,1,1,0,0,1,0,0,0] => 2 [1,1,1,0,1,1,0,1,0,0,0,0] => 2 [1,1,1,0,1,1,1,0,0,0,0,0] => 2 [1,1,1,1,0,0,0,0,1,0,1,0] => 2 [1,1,1,1,0,0,0,0,1,1,0,0] => 2 [1,1,1,1,0,0,0,1,0,0,1,0] => 2 [1,1,1,1,0,0,0,1,0,1,0,0] => 2 [1,1,1,1,0,0,0,1,1,0,0,0] => 2 [1,1,1,1,0,0,1,0,0,0,1,0] => 2 [1,1,1,1,0,0,1,0,0,1,0,0] => 2 [1,1,1,1,0,0,1,0,1,0,0,0] => 2 [1,1,1,1,0,0,1,1,0,0,0,0] => 2 [1,1,1,1,0,1,0,0,0,0,1,0] => 2 [1,1,1,1,0,1,0,0,0,1,0,0] => 2 [1,1,1,1,0,1,0,0,1,0,0,0] => 2 [1,1,1,1,0,1,0,1,0,0,0,0] => 2 [1,1,1,1,0,1,1,0,0,0,0,0] => 2 [1,1,1,1,1,0,0,0,0,0,1,0] => 2 [1,1,1,1,1,0,0,0,0,1,0,0] => 2 [1,1,1,1,1,0,0,0,1,0,0,0] => 2 [1,1,1,1,1,0,0,1,0,0,0,0] => 2 [1,1,1,1,1,0,1,0,0,0,0,0] => 2 [1,1,1,1,1,1,0,0,0,0,0,0] => 3 [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0 [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 1 [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 1 [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 1 [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 1 [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 1 [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 1 [1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 1 [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 1 [1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 1 [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 1 [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 1 [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 1 [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 2 [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 1 [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 1 [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 1 [1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 1 [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 1 [1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 1 [1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 1 [1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 1 [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 1 [1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 1 [1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 1 [1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 1 [1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 1 [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] => 1 [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 1 [1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 1 [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 1 [1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 1 [1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 1 [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 1 [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 1 [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 2 [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 2 [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 2 [1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 2 [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 2 [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 2 [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 1 [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 1 [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 1 [1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 1 [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 1 [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 1 [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 1 [1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 1 [1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 1 [1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 1 [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 1 [1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 1 [1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 1 [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 2 [1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 1 [1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 1 [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 1 [1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 1 [1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 1 [1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 1 [1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 1 [1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 1 [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 1 [1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 1 [1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 1 [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] => 2 [1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 1 [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] => 1 [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] => 1 [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] => 2 [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 2 [1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 2 [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 2 [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 2 [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 2 [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 1 [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 1 [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 1 [1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 1 [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 1 [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 1 [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 1 [1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 1 [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 1 [1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 1 [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 1 [1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 1 [1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 1 [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 2 [1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 1 [1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 1 [1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 1 [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 1 [1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 1 [1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 1 [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 1 [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 1 [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 2 [1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 2 [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 2 [1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 2 [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 2 [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 2 [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 2 [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 2 [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 2 [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 2 [1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 2 [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 2 [1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 2 [1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 2 [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 2 [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 2 [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 2 [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 2 [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 2 [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 2 [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 2 [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 2 [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 2 [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 2 [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 2 [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 3 [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1 [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 1 [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 1 [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 1 [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 1 [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 1 [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 1 [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 1 [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 1 [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 1 [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 1 [1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 1 [1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 1 [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 2 [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 1 [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 1 [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 1 [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 1 [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 1 [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 1 [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 1 [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 1 [1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 1 [1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 1 [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] => 1 [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 2 [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 1 [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 1 [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 1 [1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 1 [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 1 [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 1 [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 1 [1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 1 [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 2 [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 2 [1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 2 [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 2 [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 2 [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 2 [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 1 [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 1 [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 1 [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 1 [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 1 [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 1 [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 1 [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 1 [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 1 [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 1 [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 1 [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 1 [1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 1 [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2 [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 1 [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 1 [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 1 [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 1 [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 1 [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 1 [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 1 [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 1 [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 1 [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 1 [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] => 1 [1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 1 [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 2 [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 1 [1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 1 [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] => 1 [1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 1 [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] => 1 [1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 1 [1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 2 [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 2 [1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 2 [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 2 [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 2 [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 2 [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 1 [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] => 1 [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] => 1 [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] => 1 [1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 1 [1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 1 [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] => 1 [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 2 [1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 1 [1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 1 [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] => 1 [1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 1 [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] => 1 [1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 1 [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 2 [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 2 [1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 2 [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 2 [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 2 [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 2 [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 2 [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2 [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 2 [1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 2 [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 2 [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 2 [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 2 [1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 2 [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 2 [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 2 [1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 2 [1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 2 [1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 2 [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 2 [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2 [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 2 [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 2 [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 2 [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 2 [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 3 [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] => 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] => 1 [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 1 [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 1 [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 1 [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 1 [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 1 [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] => 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] => 1 [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 1 [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 1 [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 1 [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 1 [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 1 [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 1 [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 1 [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 1 [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 2 [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 1 [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 1 [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 1 [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 1 [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 1 [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 1 [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 1 [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 1 [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 2 [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2 [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 2 [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 2 [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 2 [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 2 [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 1 [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 1 [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 1 [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 1 [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 1 [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 1 [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 1 [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 1 [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 1 [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 1 [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 1 [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 1 [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 1 [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2 [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 1 [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 1 [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 1 [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 1 [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 1 [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 1 [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 1 [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 1 [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 2 [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 2 [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 2 [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 2 [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 2 [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 2 [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 2 [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2 [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 2 [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 2 [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 2 [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 2 [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 2 [1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 2 [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 2 [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 2 [1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 2 [1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 2 [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 2 [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 2 [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 2 [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 2 [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 2 [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 2 [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 2 [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 3 [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 2 [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 2 [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 2 [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 2 [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 2 [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 2 [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2 [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 2 [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 2 [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 2 [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2 [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 2 [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 2 [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 2 [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 2 [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2 [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 2 [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 2 [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 2 [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 2 [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 2 [1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 2 [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 2 [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 2 [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 2 [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 2 [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 2 [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 2 [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 2 [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 2 [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 2 [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 2 [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 2 [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 2 [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 2 [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 2 [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 2 [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 2 [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 2 [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 2 [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 2 [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 2 [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 2 [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 2 [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 2 [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 2 [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 2 [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 3 [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 2 [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 2 [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 2 [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 2 [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 2 [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 2 [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 2 [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 2 [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 2 [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 2 [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 2 [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 2 [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 2 [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 2 [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2 [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 2 [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 2 [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 2 [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 2 [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 3 [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 3 [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 3 [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 3 [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 3 [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 3 [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 3 [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 3 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 1 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 1 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 1 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 1 [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 1 [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 1 [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 1 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 1 [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 1 [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 1 [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 1 [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 1 [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 2 [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 1 [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 1 [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 1 [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 1 [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 1 [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 1 [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 1 [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 1 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 1 [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 1 [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 1 [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 1 [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 1 [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 2 [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 1 [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 1 [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 1 [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 1 [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 1 [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 1 [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 1 [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 1 [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 2 [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 2 [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 2 [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 2 [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 2 [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 2 [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 1 [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 1 [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 1 [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 1 [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 1 [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 1 [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 1 [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 1 [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 1 [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 1 [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 1 [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 1 [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 1 [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 2 [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 1 [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 1 [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 1 [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 1 [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 1 [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 1 [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 1 [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 1 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 1 [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 1 [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 1 [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 1 [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 1 [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] => 1 [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 1 [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 1 [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 1 [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 1 [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 1 [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 1 [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 1 [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 2 [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 2 [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 2 [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 2 [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 2 [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 2 [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 1 [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 1 [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 1 [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 1 [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 1 [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 1 [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 1 [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 1 [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 1 [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 1 [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 1 [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 1 [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 1 [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 2 [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 1 [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 1 [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 1 [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 1 [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 1 [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 1 [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 1 [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 1 [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 2 [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 2 [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 2 [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 2 [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 2 [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 2 [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 2 [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 2 [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 2 [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 2 [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 2 [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 2 [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 2 [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 2 [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 2 [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 2 [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 2 [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 2 [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 2 [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 2 [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 2 [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 2 [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 2 [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 2 [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 2 [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 3 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1 [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 1 [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 1 [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 1 [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 1 [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 1 [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 1 [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 1 [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 1 [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 1 [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 1 [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 1 [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 1 [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 2 [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 1 [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 1 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 1 [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 1 [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 1 [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 1 [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 1 [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 1 [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 1 [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 1 [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 1 [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] => 2 [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 1 [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 1 [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 1 [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 1 [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 1 [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 1 [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 1 [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 1 [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 2 [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 2 [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 2 [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 2 [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 2 [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 2 [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 1 [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 1 [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 1 [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 1 [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 1 [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 1 [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 1 [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 1 [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 1 [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 1 [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 1 [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 1 [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 1 [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2 [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 1 [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 1 [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 1 [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 1 [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 1 [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 1 [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 1 [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 1 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 1 [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 1 [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 1 [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] => 2 [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 1 [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] => 1 [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] => 1 [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] => 2 [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 2 [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 2 [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 2 [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 2 [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 2 [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 1 [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 1 [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 1 [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] => 1 [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] => 1 [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] => 1 [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] => 2 [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 1 [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] => 1 [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] => 1 [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] => 2 [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 2 [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 2 [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 2 [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 2 [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 2 [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 2 [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2 [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 2 [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 2 [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 2 [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 2 [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 2 [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 2 [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 2 [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 2 [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 2 [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 2 [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 2 [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 2 [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2 [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 2 [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 2 [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 2 [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 2 [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 3 [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 1 [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 1 [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 1 [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 1 [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 1 [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 1 [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 1 [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 1 [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 1 [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 1 [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 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] => 1 [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 2 [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 1 [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 1 [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 1 [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 1 [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 1 [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 1 [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 1 [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 1 [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 1 [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 1 [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 1 [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 1 [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 1 [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 2 [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 1 [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 1 [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 1 [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 1 [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 1 [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 1 [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 1 [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 1 [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 2 [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2 [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 2 [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 2 [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 2 [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 2 [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 1 [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 1 [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 1 [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 1 [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 1 [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 1 [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 1 [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 1 [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 1 [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 1 [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 1 [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 1 [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 1 [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2 [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 1 [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 1 [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 1 [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 1 [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 1 [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 1 [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 1 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 1 [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 2 [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 2 [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 2 [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 2 [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 2 [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 2 [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 2 [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2 [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 2 [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 2 [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 2 [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 2 [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 2 [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 2 [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 2 [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 2 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 2 [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 2 [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 2 [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 2 [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 2 [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 2 [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 2 [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 2 [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 2 [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 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] => 2 [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 2 [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2 [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 2 [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 2 [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 2 [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 2 [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 2 [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 2 [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 2 [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 2 [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 2 [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 2 [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 2 [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 2 [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 2 [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 2 [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 2 [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 2 [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 2 [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 2 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 2 [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 2 [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 2 [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 2 [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 2 [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 2 [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 2 [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 2 [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 2 [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 2 [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 2 [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 2 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 2 [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 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] => 2 [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2 [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 2 [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 2 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 2 [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 2 [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 3 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 3 [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 3 [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 3 [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 3 [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 3 [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] => 3 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 1 [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 1 [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 1 [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 1 [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 1 [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 1 [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => 1 [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => 1 [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => 1 [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 1 [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => 1 [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => 1 [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 2 [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 1 [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 1 [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 1 [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => 1 [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 1 [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => 1 [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => 1 [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => 1 [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => 1 [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => 1 [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => 1 [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] => 2 [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 1 [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 1 [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => 1 [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => 1 [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => 1 [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => 1 [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => 1 [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => 1 [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => 2 [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 2 [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => 2 [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => 2 [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => 2 [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 2 [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 1 [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 1 [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 1 [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => 1 [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 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] => 1 [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 1 [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => 1 [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => 1 [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 1 [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 1 [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => 1 [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 2 [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 1 [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 1 [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 1 [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 1 [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 1 [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 1 [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 1 [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => 1 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => 1 [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => 1 [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] => 1 [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => 1 [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] => 1 [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] => 1 [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] => 1 [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => 1 [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => 1 [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => 2 [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => 2 [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => 2 [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => 2 [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => 2 [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => 2 [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 1 [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 1 [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 1 [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 1 [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 1 [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 1 [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 1 [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 1 [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => 1 [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => 1 [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 1 [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 1 [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => 1 [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => 2 [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 1 [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 1 [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 1 [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => 1 [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => 1 [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => 1 [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => 1 [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => 1 [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => 2 [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => 2 [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => 2 [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => 2 [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => 2 [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => 2 [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 2 [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 2 [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 2 [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => 2 [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => 2 [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 2 [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 2 [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => 2 [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => 2 [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => 2 [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => 2 [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => 2 [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => 2 [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => 2 [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 2 [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => 2 [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => 2 [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => 2 [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => 2 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 3 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1 [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => 1 [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => 1 [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => 1 [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => 1 [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 1 [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 1 [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 1 [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => 1 [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => 1 [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 1 [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 1 [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => 1 [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => 2 [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 1 ----------------------------------------------------------------------------- Created: Nov 05, 2017 at 23:27 by Martin Rubey ----------------------------------------------------------------------------- Last Updated: Nov 05, 2017 at 23:27 by Martin Rubey