***************************************************************************** * 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: St001172 ----------------------------------------------------------------------------- Collection: Dyck paths ----------------------------------------------------------------------------- Description: The number of 1-rises at odd height of a Dyck path. ----------------------------------------------------------------------------- References: [1] Sapounakis, A., Tasoulas, I., Tsikouras, P. Counting strings in Dyck paths [[MathSciNet:2371066]] ----------------------------------------------------------------------------- Code: def statistic(D): H = D.heights() res = 0 for i in range(len(H)-2): if is_odd(H[i]) and H[i-1] > H[i] < H[i+1] > H[i+2]: res += 1 return res ----------------------------------------------------------------------------- Statistic values: [1,0] => 0 [1,0,1,0] => 0 [1,1,0,0] => 0 [1,0,1,0,1,0] => 0 [1,0,1,1,0,0] => 0 [1,1,0,0,1,0] => 0 [1,1,0,1,0,0] => 1 [1,1,1,0,0,0] => 0 [1,0,1,0,1,0,1,0] => 0 [1,0,1,0,1,1,0,0] => 0 [1,0,1,1,0,0,1,0] => 0 [1,0,1,1,0,1,0,0] => 1 [1,0,1,1,1,0,0,0] => 0 [1,1,0,0,1,0,1,0] => 0 [1,1,0,0,1,1,0,0] => 0 [1,1,0,1,0,0,1,0] => 1 [1,1,0,1,0,1,0,0] => 2 [1,1,0,1,1,0,0,0] => 0 [1,1,1,0,0,0,1,0] => 0 [1,1,1,0,0,1,0,0] => 1 [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] => 0 [1,0,1,0,1,0,1,1,0,0] => 0 [1,0,1,0,1,1,0,0,1,0] => 0 [1,0,1,0,1,1,0,1,0,0] => 1 [1,0,1,0,1,1,1,0,0,0] => 0 [1,0,1,1,0,0,1,0,1,0] => 0 [1,0,1,1,0,0,1,1,0,0] => 0 [1,0,1,1,0,1,0,0,1,0] => 1 [1,0,1,1,0,1,0,1,0,0] => 2 [1,0,1,1,0,1,1,0,0,0] => 0 [1,0,1,1,1,0,0,0,1,0] => 0 [1,0,1,1,1,0,0,1,0,0] => 1 [1,0,1,1,1,0,1,0,0,0] => 0 [1,0,1,1,1,1,0,0,0,0] => 0 [1,1,0,0,1,0,1,0,1,0] => 0 [1,1,0,0,1,0,1,1,0,0] => 0 [1,1,0,0,1,1,0,0,1,0] => 0 [1,1,0,0,1,1,0,1,0,0] => 1 [1,1,0,0,1,1,1,0,0,0] => 0 [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] => 2 [1,1,0,1,0,1,0,1,0,0] => 3 [1,1,0,1,0,1,1,0,0,0] => 1 [1,1,0,1,1,0,0,0,1,0] => 0 [1,1,0,1,1,0,0,1,0,0] => 1 [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] => 0 [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] => 2 [1,1,1,0,0,1,1,0,0,0] => 0 [1,1,1,0,1,0,0,0,1,0] => 0 [1,1,1,0,1,0,0,1,0,0] => 1 [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] => 0 [1,1,1,1,0,0,0,1,0,0] => 1 [1,1,1,1,0,0,1,0,0,0] => 0 [1,1,1,1,0,1,0,0,0,0] => 1 [1,1,1,1,1,0,0,0,0,0] => 0 [1,0,1,0,1,0,1,0,1,0,1,0] => 0 [1,0,1,0,1,0,1,0,1,1,0,0] => 0 [1,0,1,0,1,0,1,1,0,0,1,0] => 0 [1,0,1,0,1,0,1,1,0,1,0,0] => 1 [1,0,1,0,1,0,1,1,1,0,0,0] => 0 [1,0,1,0,1,1,0,0,1,0,1,0] => 0 [1,0,1,0,1,1,0,0,1,1,0,0] => 0 [1,0,1,0,1,1,0,1,0,0,1,0] => 1 [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] => 0 [1,0,1,0,1,1,1,0,0,0,1,0] => 0 [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] => 0 [1,0,1,0,1,1,1,1,0,0,0,0] => 0 [1,0,1,1,0,0,1,0,1,0,1,0] => 0 [1,0,1,1,0,0,1,0,1,1,0,0] => 0 [1,0,1,1,0,0,1,1,0,0,1,0] => 0 [1,0,1,1,0,0,1,1,0,1,0,0] => 1 [1,0,1,1,0,0,1,1,1,0,0,0] => 0 [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] => 2 [1,0,1,1,0,1,0,1,0,1,0,0] => 3 [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] => 0 [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] => 0 [1,0,1,1,0,1,1,1,0,0,0,0] => 0 [1,0,1,1,1,0,0,0,1,0,1,0] => 0 [1,0,1,1,1,0,0,0,1,1,0,0] => 0 [1,0,1,1,1,0,0,1,0,0,1,0] => 1 [1,0,1,1,1,0,0,1,0,1,0,0] => 2 [1,0,1,1,1,0,0,1,1,0,0,0] => 0 [1,0,1,1,1,0,1,0,0,0,1,0] => 0 [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] => 0 [1,0,1,1,1,0,1,1,0,0,0,0] => 0 [1,0,1,1,1,1,0,0,0,0,1,0] => 0 [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] => 0 [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] => 0 [1,1,0,0,1,0,1,0,1,0,1,0] => 0 [1,1,0,0,1,0,1,0,1,1,0,0] => 0 [1,1,0,0,1,0,1,1,0,0,1,0] => 0 [1,1,0,0,1,0,1,1,0,1,0,0] => 1 [1,1,0,0,1,0,1,1,1,0,0,0] => 0 [1,1,0,0,1,1,0,0,1,0,1,0] => 0 [1,1,0,0,1,1,0,0,1,1,0,0] => 0 [1,1,0,0,1,1,0,1,0,0,1,0] => 1 [1,1,0,0,1,1,0,1,0,1,0,0] => 2 [1,1,0,0,1,1,0,1,1,0,0,0] => 0 [1,1,0,0,1,1,1,0,0,0,1,0] => 0 [1,1,0,0,1,1,1,0,0,1,0,0] => 1 [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] => 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] => 2 [1,1,0,1,0,0,1,1,1,0,0,0] => 1 [1,1,0,1,0,1,0,0,1,0,1,0] => 2 [1,1,0,1,0,1,0,0,1,1,0,0] => 2 [1,1,0,1,0,1,0,1,0,0,1,0] => 3 [1,1,0,1,0,1,0,1,0,1,0,0] => 4 [1,1,0,1,0,1,0,1,1,0,0,0] => 2 [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] => 2 [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] => 1 [1,1,0,1,1,0,0,0,1,0,1,0] => 0 [1,1,0,1,1,0,0,0,1,1,0,0] => 0 [1,1,0,1,1,0,0,1,0,0,1,0] => 1 [1,1,0,1,1,0,0,1,0,1,0,0] => 2 [1,1,0,1,1,0,0,1,1,0,0,0] => 0 [1,1,0,1,1,0,1,0,0,0,1,0] => 0 [1,1,0,1,1,0,1,0,0,1,0,0] => 1 [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] => 0 [1,1,0,1,1,1,0,0,0,1,0,0] => 1 [1,1,0,1,1,1,0,0,1,0,0,0] => 0 [1,1,0,1,1,1,0,1,0,0,0,0] => 1 [1,1,0,1,1,1,1,0,0,0,0,0] => 0 [1,1,1,0,0,0,1,0,1,0,1,0] => 0 [1,1,1,0,0,0,1,0,1,1,0,0] => 0 [1,1,1,0,0,0,1,1,0,0,1,0] => 0 [1,1,1,0,0,0,1,1,0,1,0,0] => 1 [1,1,1,0,0,0,1,1,1,0,0,0] => 0 [1,1,1,0,0,1,0,0,1,0,1,0] => 1 [1,1,1,0,0,1,0,0,1,1,0,0] => 1 [1,1,1,0,0,1,0,1,0,0,1,0] => 2 [1,1,1,0,0,1,0,1,0,1,0,0] => 3 [1,1,1,0,0,1,0,1,1,0,0,0] => 1 [1,1,1,0,0,1,1,0,0,0,1,0] => 0 [1,1,1,0,0,1,1,0,0,1,0,0] => 1 [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] => 0 [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] => 2 [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] => 0 [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] => 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] => 0 [1,1,1,0,1,1,0,0,0,1,0,0] => 1 [1,1,1,0,1,1,0,0,1,0,0,0] => 0 [1,1,1,0,1,1,0,1,0,0,0,0] => 1 [1,1,1,0,1,1,1,0,0,0,0,0] => 0 [1,1,1,1,0,0,0,0,1,0,1,0] => 0 [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] => 2 [1,1,1,1,0,0,0,1,1,0,0,0] => 0 [1,1,1,1,0,0,1,0,0,0,1,0] => 0 [1,1,1,1,0,0,1,0,0,1,0,0] => 1 [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] => 2 [1,1,1,1,0,1,0,0,1,0,0,0] => 1 [1,1,1,1,0,1,0,1,0,0,0,0] => 2 [1,1,1,1,0,1,1,0,0,0,0,0] => 0 [1,1,1,1,1,0,0,0,0,0,1,0] => 0 [1,1,1,1,1,0,0,0,0,1,0,0] => 1 [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] => 1 [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] => 0 [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 0 [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 0 [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 1 [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 0 [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 0 [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 0 [1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 1 [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 2 [1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 0 [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 0 [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] => 0 [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 0 [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 0 [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 0 [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 0 [1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 1 [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 0 [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] => 2 [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 3 [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] => 0 [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] => 0 [1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 0 [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 0 [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 0 [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] => 2 [1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 0 [1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 0 [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] => 0 [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 0 [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 0 [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 1 [1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 0 [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 1 [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 0 [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 0 [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 0 [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 0 [1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 1 [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 0 [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 0 [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 0 [1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 1 [1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 2 [1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 0 [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 0 [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] => 0 [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 0 [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] => 2 [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] => 2 [1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 2 [1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 3 [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 4 [1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 2 [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] => 2 [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] => 0 [1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 0 [1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 1 [1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 2 [1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 0 [1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 0 [1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 1 [1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 0 [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 0 [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 0 [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] => 0 [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] => 0 [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 0 [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 0 [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 0 [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] => 0 [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] => 2 [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 3 [1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 1 [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 0 [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] => 0 [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 0 [1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 0 [1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 0 [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] => 2 [1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 0 [1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 0 [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] => 0 [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 0 [1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 0 [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] => 0 [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] => 0 [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 0 [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 0 [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 1 [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 2 [1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 0 [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 0 [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] => 0 [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 0 [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 1 [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 2 [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] => 2 [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 0 [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 0 [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] => 0 [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] => 0 [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 0 [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 0 [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 0 [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 0 [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 1 [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 0 [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 0 [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 0 [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 1 [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 2 [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 0 [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 0 [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] => 0 [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 0 [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 0 [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 0 [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 0 [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 1 [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 0 [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 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] => 2 [1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 3 [1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 1 [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 0 [1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 1 [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] => 0 [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] => 2 [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] => 0 [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] => 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] => 0 [1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 1 [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 0 [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 1 [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 0 [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 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] => 2 [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] => 2 [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 3 [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 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] => 2 [1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 1 [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 1 [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 2 [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2 [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2 [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 3 [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 2 [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 3 [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 3 [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 4 [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 5 [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 3 [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 2 [1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 3 [1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 2 [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] => 2 [1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 3 [1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 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] => 2 [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] => 1 [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] => 2 [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 1 [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 2 [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 1 [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 0 [1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 0 [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 0 [1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 1 [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] => 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] => 2 [1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 3 [1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 1 [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 0 [1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 1 [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] => 0 [1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 0 [1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 1 [1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 2 [1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 0 [1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 0 [1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 1 [1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 0 [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 0 [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 0 [1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 1 [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] => 1 [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] => 0 [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] => 2 [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] => 0 [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 1 [1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 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] => 2 [1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 1 [1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 2 [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] => 0 [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 1 [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 0 [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 1 [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 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] => 0 [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 0 [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 0 [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] => 0 [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 0 [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 0 [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 1 [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 2 [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 0 [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 0 [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 1 [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] => 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] => 2 [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] => 2 [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 2 [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 3 [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 4 [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 2 [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 1 [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 2 [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] => 1 [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 0 [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] => 2 [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] => 0 [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] => 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] => 0 [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 1 [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 0 [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 1 [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 0 [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 0 [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 0 [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 0 [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] => 0 [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] => 2 [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 3 [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 1 [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 0 [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] => 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] => 0 [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] => 2 [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] => 0 [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] => 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] => 0 [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 1 [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 0 [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 1 [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 0 [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 0 [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] => 2 [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] => 0 [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 1 [1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 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] => 2 [1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 1 [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 2 [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] => 0 [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 1 [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 0 [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 1 [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 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] => 0 [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 0 [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 0 [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 1 [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 0 [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 1 [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 1 [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] => 3 [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 1 [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 0 [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 1 [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] => 0 [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] => 2 [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] => 0 [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] => 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] => 0 [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 1 [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 0 [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 1 [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 0 [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 1 [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 1 [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 2 [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 3 [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 1 [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 1 [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 2 [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 1 [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 1 [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 2 [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] => 2 [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 3 [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 1 [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 0 [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 1 [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 0 [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 1 [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 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] => 0 [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] => 2 [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 0 [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 0 [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 1 [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] => 2 [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] => 2 [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] => 0 [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 1 [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 0 [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 1 [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 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] => 0 [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] => 0 [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] => 0 [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 0 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 0 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 0 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 1 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 0 [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 0 [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 0 [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 1 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 2 [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 0 [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 0 [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 1 [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 0 [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 0 [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 0 [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 0 [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 0 [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 1 [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 0 [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] => 2 [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] => 1 [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 0 [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 1 [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 0 [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 0 [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 0 [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 0 [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] => 2 [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 0 [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 0 [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] => 0 [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 0 [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 0 [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 1 [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 0 [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 1 [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 0 [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 0 [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 0 [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 0 [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 1 [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 0 [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 0 [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 0 [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 1 [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] => 0 [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 0 [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] => 0 [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 0 [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] => 2 [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] => 2 [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] => 4 [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] => 1 [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] => 1 [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 1 [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 0 [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 0 [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 1 [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] => 0 [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 0 [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 1 [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 0 [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 0 [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 0 [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 1 [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 0 [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 1 [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 0 [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 0 [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 0 [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 0 [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] => 0 [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] => 2 [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] => 1 [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 0 [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] => 0 [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 0 [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 0 [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 0 [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] => 2 [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 0 [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 0 [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] => 0 [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 0 [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 0 [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 1 [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 0 [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 1 [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 0 [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 0 [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 0 [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 1 [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 2 [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 0 [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 0 [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 1 [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 0 [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 0 [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 1 [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 2 [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 1 [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 2 [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 0 [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 0 [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 1 [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 0 [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 1 [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 0 [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 0 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 0 [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 0 [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 0 [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 1 [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 0 [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 0 [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 0 [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 1 [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] => 0 [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 0 [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] => 0 [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 0 [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 0 [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 0 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 0 [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 1 [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 0 [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] => 2 [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 3 [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] => 0 [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] => 0 [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 0 [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 0 [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 0 [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 1 [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 2 [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 0 [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 0 [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] => 0 [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 0 [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 0 [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] => 0 [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] => 0 [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] => 2 [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] => 2 [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 3 [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] => 2 [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] => 2 [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] => 3 [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 2 [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] => 3 [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 4 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 5 [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 3 [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] => 3 [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 2 [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] => 2 [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 3 [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] => 2 [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] => 1 [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] => 1 [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] => 1 [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 0 [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 0 [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 0 [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 1 [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 0 [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] => 2 [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] => 1 [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 0 [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 1 [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 0 [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 0 [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 0 [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 0 [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 1 [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 2 [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 0 [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 0 [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 1 [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 0 [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 0 [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 0 [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 1 [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 0 [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 1 [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 0 [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 0 [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 0 [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 1 [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 2 [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 0 [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 0 [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] => 0 [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 0 [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 1 [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 2 [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] => 2 [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 0 [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 0 [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] => 0 [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] => 0 [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 0 [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 0 [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 0 [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 0 [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] => 0 [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 0 [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 0 [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] => 2 [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 0 [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 0 [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] => 0 [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 0 [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] => 2 [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 1 [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 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] => 3 [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 4 [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 2 [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] => 2 [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] => 0 [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 0 [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 1 [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 2 [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 0 [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 0 [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] => 0 [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 0 [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 0 [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] => 0 [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] => 0 [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 0 [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 0 [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 0 [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] => 0 [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] => 2 [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] => 1 [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 0 [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] => 0 [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 0 [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 0 [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 0 [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] => 2 [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 0 [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 0 [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] => 0 [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 0 [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 0 [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] => 0 [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] => 0 [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 0 [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 0 [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 1 [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 2 [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 0 [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 0 [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] => 0 [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 0 [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 1 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 2 [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] => 2 [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 0 [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 0 [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] => 0 [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] => 0 [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 0 [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 0 [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 0 [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 0 [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] => 0 [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 1 [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 1 [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 2 [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 3 [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 1 [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 0 [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] => 0 [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 0 [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 0 [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 0 [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 1 [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 2 [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 0 [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 0 [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] => 0 [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 0 [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 0 [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] => 0 [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] => 0 [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 1 [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 1 [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 2 [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 3 [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 1 [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 1 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 2 [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] => 3 [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] => 3 [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] => 0 [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] => 0 [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] => 0 [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 0 [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 0 [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 0 [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 1 [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 2 [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 0 [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 0 [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] => 0 [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 0 [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 1 [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 2 [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 1 [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 2 [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 0 [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 0 [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] => 0 [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] => 0 [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 0 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 0 [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] => 0 [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] => 0 [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] => 0 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 0 [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 0 [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 1 [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 0 [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 0 [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 0 [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => 1 [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] => 0 [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 0 [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] => 0 [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 0 [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 0 [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 0 [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 0 [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => 1 [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 0 [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] => 2 [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => 3 [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] => 0 [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] => 0 [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => 0 [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 0 [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 0 [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => 1 [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => 2 [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => 0 [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => 0 [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] => 0 [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => 0 [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 0 [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] => 0 [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] => 0 [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 0 [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 0 [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 0 [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => 1 [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 0 [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 0 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 0 [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 1 [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => 2 [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => 0 [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 0 [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 1 [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] => 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] => 2 [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 1 [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 2 [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 2 [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => 3 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => 4 [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => 2 [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] => 2 [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] => 1 [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 0 [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 0 [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 1 [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => 2 [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => 0 [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => 0 [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => 1 [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] => 0 [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => 1 [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => 0 [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => 1 [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => 0 [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 0 [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 0 [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 0 [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 1 [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 0 [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 1 [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 1 [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] => 3 [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => 1 [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 0 [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 1 [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] => 0 [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] => 2 [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] => 0 [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] => 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] => 0 [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => 1 [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => 0 [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => 1 [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => 0 [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 0 [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] => 2 [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => 0 [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 0 [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 1 [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] => 2 [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => 1 [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => 2 [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => 0 [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 0 [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => 1 [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] => 1 [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] => 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] => 2 [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] => 2 [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => 3 [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] => 2 [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 ----------------------------------------------------------------------------- Created: Apr 28, 2018 at 18:50 by Martin Rubey ----------------------------------------------------------------------------- Last Updated: Apr 28, 2018 at 18:50 by Martin Rubey