***************************************************************************** * 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: St000394 ----------------------------------------------------------------------------- Collection: Dyck paths ----------------------------------------------------------------------------- Description: The sum of the heights of the peaks of a Dyck path minus the number of peaks. ----------------------------------------------------------------------------- References: [1] Feinberg, G., Lee, K.-H. Homogeneous representations of Type A KLR-algebras and Dyck paths [[arXiv:1505.04075]] [2] Cheng, S.-E., Elizalde, S., Kasraoui, A., Sagan, B. Inversion polynomials for 321-avoiding permutations [[arXiv:1112.6014]] ----------------------------------------------------------------------------- Code: def statistic(D): heights = D.heights() return sum(heights[i+1]-1 for i in D.peaks()) ----------------------------------------------------------------------------- Statistic values: [1,0] => 0 [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] => 2 [1,1,1,0,0,0] => 2 [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] => 2 [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] => 3 [1,1,1,0,0,0,1,0] => 2 [1,1,1,0,0,1,0,0] => 3 [1,1,1,0,1,0,0,0] => 4 [1,1,1,1,0,0,0,0] => 3 [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] => 2 [1,0,1,0,1,1,1,0,0,0] => 2 [1,0,1,1,0,0,1,0,1,0] => 1 [1,0,1,1,0,0,1,1,0,0] => 2 [1,0,1,1,0,1,0,0,1,0] => 2 [1,0,1,1,0,1,0,1,0,0] => 3 [1,0,1,1,0,1,1,0,0,0] => 3 [1,0,1,1,1,0,0,0,1,0] => 2 [1,0,1,1,1,0,0,1,0,0] => 3 [1,0,1,1,1,0,1,0,0,0] => 4 [1,0,1,1,1,1,0,0,0,0] => 3 [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] => 3 [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] => 4 [1,1,0,1,1,0,0,0,1,0] => 3 [1,1,0,1,1,0,0,1,0,0] => 4 [1,1,0,1,1,0,1,0,0,0] => 5 [1,1,0,1,1,1,0,0,0,0] => 4 [1,1,1,0,0,0,1,0,1,0] => 2 [1,1,1,0,0,0,1,1,0,0] => 3 [1,1,1,0,0,1,0,0,1,0] => 3 [1,1,1,0,0,1,0,1,0,0] => 4 [1,1,1,0,0,1,1,0,0,0] => 4 [1,1,1,0,1,0,0,0,1,0] => 4 [1,1,1,0,1,0,0,1,0,0] => 5 [1,1,1,0,1,0,1,0,0,0] => 6 [1,1,1,0,1,1,0,0,0,0] => 5 [1,1,1,1,0,0,0,0,1,0] => 3 [1,1,1,1,0,0,0,1,0,0] => 4 [1,1,1,1,0,0,1,0,0,0] => 5 [1,1,1,1,0,1,0,0,0,0] => 6 [1,1,1,1,1,0,0,0,0,0] => 4 [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] => 2 [1,0,1,0,1,0,1,1,1,0,0,0] => 2 [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] => 2 [1,0,1,0,1,1,0,1,0,0,1,0] => 2 [1,0,1,0,1,1,0,1,0,1,0,0] => 3 [1,0,1,0,1,1,0,1,1,0,0,0] => 3 [1,0,1,0,1,1,1,0,0,0,1,0] => 2 [1,0,1,0,1,1,1,0,0,1,0,0] => 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] => 1 [1,0,1,1,0,0,1,0,1,1,0,0] => 2 [1,0,1,1,0,0,1,1,0,0,1,0] => 2 [1,0,1,1,0,0,1,1,0,1,0,0] => 3 [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] => 2 [1,0,1,1,0,1,0,0,1,1,0,0] => 3 [1,0,1,1,0,1,0,1,0,0,1,0] => 3 [1,0,1,1,0,1,0,1,0,1,0,0] => 4 [1,0,1,1,0,1,0,1,1,0,0,0] => 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] => 4 [1,0,1,1,0,1,1,0,1,0,0,0] => 5 [1,0,1,1,0,1,1,1,0,0,0,0] => 4 [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] => 3 [1,0,1,1,1,0,0,1,0,0,1,0] => 3 [1,0,1,1,1,0,0,1,0,1,0,0] => 4 [1,0,1,1,1,0,0,1,1,0,0,0] => 4 [1,0,1,1,1,0,1,0,0,0,1,0] => 4 [1,0,1,1,1,0,1,0,0,1,0,0] => 5 [1,0,1,1,1,0,1,0,1,0,0,0] => 6 [1,0,1,1,1,0,1,1,0,0,0,0] => 5 [1,0,1,1,1,1,0,0,0,0,1,0] => 3 [1,0,1,1,1,1,0,0,0,1,0,0] => 4 [1,0,1,1,1,1,0,0,1,0,0,0] => 5 [1,0,1,1,1,1,0,1,0,0,0,0] => 6 [1,0,1,1,1,1,1,0,0,0,0,0] => 4 [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] => 3 [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] => 4 [1,1,0,0,1,1,1,0,0,0,1,0] => 3 [1,1,0,0,1,1,1,0,0,1,0,0] => 4 [1,1,0,0,1,1,1,0,1,0,0,0] => 5 [1,1,0,0,1,1,1,1,0,0,0,0] => 4 [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] => 4 [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] => 5 [1,1,0,1,0,1,1,0,0,0,1,0] => 4 [1,1,0,1,0,1,1,0,0,1,0,0] => 5 [1,1,0,1,0,1,1,0,1,0,0,0] => 6 [1,1,0,1,0,1,1,1,0,0,0,0] => 5 [1,1,0,1,1,0,0,0,1,0,1,0] => 3 [1,1,0,1,1,0,0,0,1,1,0,0] => 4 [1,1,0,1,1,0,0,1,0,0,1,0] => 4 [1,1,0,1,1,0,0,1,0,1,0,0] => 5 [1,1,0,1,1,0,0,1,1,0,0,0] => 5 [1,1,0,1,1,0,1,0,0,0,1,0] => 5 [1,1,0,1,1,0,1,0,0,1,0,0] => 6 [1,1,0,1,1,0,1,0,1,0,0,0] => 7 [1,1,0,1,1,0,1,1,0,0,0,0] => 6 [1,1,0,1,1,1,0,0,0,0,1,0] => 4 [1,1,0,1,1,1,0,0,0,1,0,0] => 5 [1,1,0,1,1,1,0,0,1,0,0,0] => 6 [1,1,0,1,1,1,0,1,0,0,0,0] => 7 [1,1,0,1,1,1,1,0,0,0,0,0] => 5 [1,1,1,0,0,0,1,0,1,0,1,0] => 2 [1,1,1,0,0,0,1,0,1,1,0,0] => 3 [1,1,1,0,0,0,1,1,0,0,1,0] => 3 [1,1,1,0,0,0,1,1,0,1,0,0] => 4 [1,1,1,0,0,0,1,1,1,0,0,0] => 4 [1,1,1,0,0,1,0,0,1,0,1,0] => 3 [1,1,1,0,0,1,0,0,1,1,0,0] => 4 [1,1,1,0,0,1,0,1,0,0,1,0] => 4 [1,1,1,0,0,1,0,1,0,1,0,0] => 5 [1,1,1,0,0,1,0,1,1,0,0,0] => 5 [1,1,1,0,0,1,1,0,0,0,1,0] => 4 [1,1,1,0,0,1,1,0,0,1,0,0] => 5 [1,1,1,0,0,1,1,0,1,0,0,0] => 6 [1,1,1,0,0,1,1,1,0,0,0,0] => 5 [1,1,1,0,1,0,0,0,1,0,1,0] => 4 [1,1,1,0,1,0,0,0,1,1,0,0] => 5 [1,1,1,0,1,0,0,1,0,0,1,0] => 5 [1,1,1,0,1,0,0,1,0,1,0,0] => 6 [1,1,1,0,1,0,0,1,1,0,0,0] => 6 [1,1,1,0,1,0,1,0,0,0,1,0] => 6 [1,1,1,0,1,0,1,0,0,1,0,0] => 7 [1,1,1,0,1,0,1,0,1,0,0,0] => 8 [1,1,1,0,1,0,1,1,0,0,0,0] => 7 [1,1,1,0,1,1,0,0,0,0,1,0] => 5 [1,1,1,0,1,1,0,0,0,1,0,0] => 6 [1,1,1,0,1,1,0,0,1,0,0,0] => 7 [1,1,1,0,1,1,0,1,0,0,0,0] => 8 [1,1,1,0,1,1,1,0,0,0,0,0] => 6 [1,1,1,1,0,0,0,0,1,0,1,0] => 3 [1,1,1,1,0,0,0,0,1,1,0,0] => 4 [1,1,1,1,0,0,0,1,0,0,1,0] => 4 [1,1,1,1,0,0,0,1,0,1,0,0] => 5 [1,1,1,1,0,0,0,1,1,0,0,0] => 5 [1,1,1,1,0,0,1,0,0,0,1,0] => 5 [1,1,1,1,0,0,1,0,0,1,0,0] => 6 [1,1,1,1,0,0,1,0,1,0,0,0] => 7 [1,1,1,1,0,0,1,1,0,0,0,0] => 6 [1,1,1,1,0,1,0,0,0,0,1,0] => 6 [1,1,1,1,0,1,0,0,0,1,0,0] => 7 [1,1,1,1,0,1,0,0,1,0,0,0] => 8 [1,1,1,1,0,1,0,1,0,0,0,0] => 9 [1,1,1,1,0,1,1,0,0,0,0,0] => 7 [1,1,1,1,1,0,0,0,0,0,1,0] => 4 [1,1,1,1,1,0,0,0,0,1,0,0] => 5 [1,1,1,1,1,0,0,0,1,0,0,0] => 6 [1,1,1,1,1,0,0,1,0,0,0,0] => 7 [1,1,1,1,1,0,1,0,0,0,0,0] => 8 [1,1,1,1,1,1,0,0,0,0,0,0] => 5 [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] => 2 [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 2 [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] => 2 [1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 2 [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 3 [1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 3 [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 2 [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 3 [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 4 [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 3 [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 1 [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 2 [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 2 [1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 3 [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 3 [1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 2 [1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 3 [1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 3 [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 4 [1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 4 [1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 3 [1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 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] => 2 [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] => 4 [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] => 5 [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 6 [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 5 [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] => 4 [1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 5 [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 6 [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 4 [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] => 2 [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 2 [1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 3 [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 3 [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 2 [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3 [1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3 [1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 4 [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] => 4 [1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 5 [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4 [1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 2 [1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 3 [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3 [1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 4 [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] => 3 [1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 4 [1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 4 [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 5 [1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 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] => 5 [1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 6 [1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 5 [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] => 4 [1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 4 [1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 5 [1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 5 [1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 5 [1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 6 [1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 7 [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 6 [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 4 [1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 5 [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 6 [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 7 [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 5 [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] => 3 [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3 [1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 4 [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 4 [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3 [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 4 [1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 4 [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 5 [1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 5 [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 4 [1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 5 [1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 6 [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 5 [1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 4 [1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 5 [1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 5 [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 6 [1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 6 [1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 6 [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 7 [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 8 [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 7 [1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 5 [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 6 [1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 7 [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 8 [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 6 [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 3 [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 4 [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 4 [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 5 [1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 5 [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 5 [1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 6 [1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 7 [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 6 [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 6 [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 7 [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 8 [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 9 [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 7 [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 4 [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 5 [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 6 [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 7 [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 8 [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 5 [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] => 3 [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] => 4 [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 3 [1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 4 [1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 5 [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 4 [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] => 4 [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] => 5 [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 4 [1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 5 [1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 6 [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 5 [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 3 [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 4 [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 4 [1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 5 [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 5 [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 5 [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 6 [1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 7 [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 6 [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 4 [1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 5 [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 6 [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 7 [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 5 [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] => 4 [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] => 5 [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 4 [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 5 [1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 6 [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 5 [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] => 5 [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] => 6 [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 5 [1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 6 [1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 7 [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 6 [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 4 [1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 5 [1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 5 [1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 6 [1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 6 [1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 6 [1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 7 [1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 8 [1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 7 [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 5 [1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 6 [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 7 [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 8 [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 6 [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 3 [1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 4 [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 4 [1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 5 [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 5 [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 4 [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 5 [1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 5 [1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 6 [1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 6 [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 5 [1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 6 [1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 7 [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 6 [1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 5 [1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 6 [1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 6 [1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 7 [1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 7 [1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 7 [1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 8 [1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 9 [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 8 [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 6 [1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 7 [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 8 [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 9 [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 7 [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 4 [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 5 [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 5 [1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 6 [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 6 [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 6 [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 7 [1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 8 [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 7 [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 7 [1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 8 [1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 9 [1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 10 [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 8 [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 5 [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 6 [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 7 [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 8 [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 9 [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 6 [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 2 [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 3 [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 3 [1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 4 [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 4 [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 3 [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 4 [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 4 [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 5 [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 5 [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 4 [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 5 [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 6 [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5 [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 3 [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 4 [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4 [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 5 [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 5 [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 4 [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 5 [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 5 [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 6 [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 6 [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 5 [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 6 [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 7 [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 6 [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 4 [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 5 [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 5 [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 6 [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 6 [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 6 [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 7 [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 8 [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 7 [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 5 [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 6 [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 7 [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 8 [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 6 [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 4 [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 5 [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 5 [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 6 [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 6 [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 5 [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 6 [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 6 [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 7 [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 7 [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 6 [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 7 [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 8 [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 7 [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 6 [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 7 [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 7 [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 8 [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 8 [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 8 [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 9 [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 10 [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 9 [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 7 [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 8 [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 9 [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 10 [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 8 [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 5 [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 6 [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 6 [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 7 [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 7 [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 7 [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 8 [1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 9 [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 8 [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 8 [1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 9 [1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 10 [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 11 [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 9 [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 6 [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 7 [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 8 [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 9 [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 10 [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 7 [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 3 [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 4 [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 4 [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 5 [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 5 [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 4 [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 5 [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 5 [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 6 [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 6 [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 5 [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 6 [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 7 [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 6 [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 5 [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 6 [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 6 [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 7 [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 7 [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 7 [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 8 [1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 9 [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 8 [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 6 [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 7 [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 8 [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 9 [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 7 [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 6 [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 7 [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 7 [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 8 [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 8 [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 8 [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 9 [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 10 [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 9 [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 9 [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 10 [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 11 [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 12 [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 10 [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 7 [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 8 [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 9 [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 10 [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 11 [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 8 [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 4 [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 5 [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 5 [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 6 [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 6 [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 6 [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 7 [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 8 [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 7 [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 7 [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 8 [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 9 [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 10 [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 8 [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 8 [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 9 [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 10 [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 11 [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 12 [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 9 [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 5 [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 6 [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 7 [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 8 [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 9 [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 10 [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 6 [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] => 2 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 2 [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] => 2 [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 2 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 3 [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 3 [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 2 [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 3 [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 4 [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 3 [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] => 2 [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 2 [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 3 [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 3 [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 2 [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 3 [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 3 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 4 [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 4 [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 3 [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 4 [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 5 [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 4 [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 2 [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 3 [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 3 [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 4 [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 4 [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 4 [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 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] => 3 [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] => 5 [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 6 [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] => 1 [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 2 [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 2 [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 3 [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 3 [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 2 [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3 [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3 [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 4 [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 4 [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 3 [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 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] => 2 [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 3 [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3 [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 4 [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 4 [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 3 [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 4 [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 4 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 5 [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 5 [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 4 [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 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] => 3 [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] => 5 [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] => 6 [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 7 [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 6 [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] => 5 [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 6 [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 7 [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 5 [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 2 [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] => 4 [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] => 4 [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 4 [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 5 [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 5 [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] => 5 [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 6 [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 5 [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] => 5 [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 5 [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 6 [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 6 [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 6 [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 7 [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 8 [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 7 [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 5 [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 6 [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 7 [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 8 [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 6 [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] => 4 [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 4 [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 5 [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 5 [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 5 [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 6 [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 7 [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 6 [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 6 [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 7 [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 8 [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 9 [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 7 [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 4 [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 5 [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 6 [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 7 [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 8 [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 5 [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] => 2 [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2 [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 3 [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 3 [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2 [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 3 [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 3 [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 4 [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 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] => 4 [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 5 [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 4 [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2 [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 3 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 3 [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 4 [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] => 3 [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 4 [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 4 [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 5 [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] => 5 [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 6 [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 5 [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] => 4 [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 4 [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 5 [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 5 [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 5 [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 6 [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 7 [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 6 [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 4 [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 5 [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 6 [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 7 [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 5 [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2 [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 3 [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 3 [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 4 [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] => 3 [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 4 [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 4 [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 5 [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] => 5 [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 6 [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 5 [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3 [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 4 [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 4 [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 5 [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] => 4 [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 5 [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 5 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 6 [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 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] => 6 [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 7 [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 6 [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] => 5 [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 5 [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 6 [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 6 [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 6 [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 7 [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 8 [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 7 [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 5 [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 6 [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 7 [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 8 [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 6 [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] => 4 [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 4 [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 5 [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 5 [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 4 [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 5 [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 5 [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 6 [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 6 [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 5 [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 6 [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 7 [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 6 [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 5 [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 6 [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 6 [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 7 [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 7 [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 7 [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 8 [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 9 [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 8 [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 6 [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 7 [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 8 [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 9 [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 7 [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 4 [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 5 [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 5 [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 6 [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 6 [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 6 [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 7 [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 8 [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 7 [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 7 [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 8 [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 9 [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 10 [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 8 [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 5 [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 6 [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 7 [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 8 [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 9 [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 6 [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] => 3 [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 3 [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 4 [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 4 [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 3 [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 4 [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 4 [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 5 [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 5 [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 4 [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 5 [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 6 [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5 [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 3 [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 4 [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4 [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 5 [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 5 [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 4 [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 5 [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 5 [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 6 [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 6 [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 5 [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 6 [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 7 [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 6 [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 4 [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 5 [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 5 [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 6 [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 6 [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 6 [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 7 [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 8 [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 7 [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 5 [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 6 [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 7 [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 8 [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 6 [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 4 [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 5 [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 5 [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 6 [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 6 [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 5 [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 6 [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 6 [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 7 [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 7 [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 6 [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 7 [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 8 [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 7 [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 6 [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 7 [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 7 [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 8 [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 8 [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 8 [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 9 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 10 [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 9 [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 7 [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 8 [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 9 [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 10 [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 8 [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 5 [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 6 [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 6 [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 7 [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 7 [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 7 [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 8 [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 9 [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 8 [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 8 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 9 [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 10 [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 11 [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 9 [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 6 [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 7 [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 8 [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 9 [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 10 [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 7 [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 3 [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 4 [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 4 [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 5 [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 5 [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 4 [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 5 [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 5 [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 6 [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 6 [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 5 [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 6 [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 7 [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 6 [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 5 [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 6 [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 6 [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 7 [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 7 [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 7 [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 8 [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 9 [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 8 [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 6 [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 7 [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 8 [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 9 [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 7 [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 6 [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 7 [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 7 [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 8 [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 8 [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 8 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 9 [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 10 [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 9 [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 9 [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 10 [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 11 [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 12 [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 10 [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 7 [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 8 [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 9 [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 10 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 11 [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 8 [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 4 [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 5 [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 5 [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 6 [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 6 [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 6 [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 7 [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 8 [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 7 [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 7 [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 8 [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 9 [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 10 [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 8 [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 8 [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 9 [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 10 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 11 [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 12 [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 9 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 5 [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 6 [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 7 [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 8 [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 9 [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 10 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 6 [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] => 3 [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] => 4 [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 3 [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => 4 [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => 5 [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 4 [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] => 4 [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] => 5 [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => 4 [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => 5 [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => 6 [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => 5 [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 3 [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 4 [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => 4 [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => 5 [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => 5 [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => 5 [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => 6 [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => 7 [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => 6 [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 4 [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => 5 [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => 6 [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => 7 [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 5 [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] => 4 [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] => 5 [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 4 [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 5 [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => 6 [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 5 [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] => 5 [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] => 6 [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => 5 [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => 6 [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => 7 [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => 6 [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 4 [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 5 [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 5 [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => 6 [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => 6 [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => 6 [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => 7 [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => 8 [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => 7 [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => 5 [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => 6 [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => 7 [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => 8 [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => 6 [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 3 [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 4 [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 4 [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 5 [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5 [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 4 [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 5 [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 5 [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => 6 [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => 6 [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 5 [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 6 [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => 7 [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => 6 [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 5 [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 6 [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 6 [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => 7 [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => 7 [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => 7 [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => 8 [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => 9 [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => 8 [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => 6 [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => 7 [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => 8 [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => 9 [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => 7 [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 4 [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 5 [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 5 [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => 6 [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => 6 [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 6 [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 7 [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => 8 [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => 7 [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => 7 [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => 8 [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => 9 [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => 10 [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => 8 [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 5 [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => 6 [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => 7 [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => 8 [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => 9 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 6 [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] => 4 [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] => 5 [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 4 [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 5 [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => 6 [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => 5 [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3 [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => 4 [1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0] => 4 [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => 7 [1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0] => 4 [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => 5 [1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0] => 6 [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 7 [1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0] => 7 [1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => 8 [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => 6 [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => 3 [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0] => 5 [1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0] => 5 [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => 4 [1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => 5 [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => 6 [1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => 5 [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => 6 [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => 4 [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => 5 [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => 5 [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => 6 [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => 6 [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 5 [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => 6 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 6 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 7 [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => 6 [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => 7 [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => 8 [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => 7 [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => 5 [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => 7 [1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => 7 [1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0] => 7 [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => 9 [1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => 8 [1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0] => 6 [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => 7 [1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => 8 [1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => 9 [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => 7 [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => 4 [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => 7 [1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0] => 7 [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0] => 7 [1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0] => 7 [1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0] => 6 [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => 8 [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => 9 [1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => 10 [1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0] => 10 [1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0] => 5 [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0] => 7 [1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0] => 7 [1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => 9 [1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0] => 10 [1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => 11 [1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0] => 9 [1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0] => 6 [1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0] => 7 [1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0] => 8 [1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => 10 [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => 7 [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => 3 [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => 5 [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0] => 4 [1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0] => 5 [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => 5 [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0] => 6 [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => 7 [1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0] => 7 [1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0] => 7 [1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0] => 7 [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => 6 [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => 6 [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => 7 [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => 7 [1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0] => 7 [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0] => 8 [1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0] => 9 [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0] => 7 [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0] => 5 [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 7 [1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => 8 [1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0] => 7 [1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0] => 9 [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0] => 10 [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => 11 [1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => 10 [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => 9 [1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => 12 [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0] => 11 [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => 8 [1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0] => 4 [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => 7 [1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0] => 7 [1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0] => 7 [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0] => 7 [1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0] => 7 [1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => 10 [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0] => 9 [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => 9 [1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0] => 11 [1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => 12 [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => 13 [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => 10 [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => 12 [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0] => 9 [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => 6 [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => 7 [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => 7 [1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0] => 9 [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0] => 9 [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0] => 11 [1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => 12 [1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => 13 [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => 10 [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => 6 [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => 7 [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0] => 8 [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0] => 9 [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => 10 [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => 11 [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => 7 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 2 [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => 3 [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => 4 [1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0] => 6 [1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0] => 8 [1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0] => 7 [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => 5 [1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0] => 8 [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => 6 [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => 3 [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0] => 6 [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0] => 4 [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => 5 [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => 6 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => 7 [1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0] => 7 [1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0] => 7 [1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0] => 7 [1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0] => 7 [1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0] => 7 [1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => 7 [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0] => 7 [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => 7 [1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0] => 7 [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => 7 [1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0] => 7 [1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0] => 10 [1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0] => 7 [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => 7 [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => 6 [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0] => 7 [1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0] => 8 [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0] => 10 [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => 7 [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => 4 [1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0] => 6 [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 6 [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => 8 [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => 7 [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 7 [1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => 7 [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => 8 [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => 8 [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => 6 [1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0] => 7 [1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0] => 7 [1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0] => 8 [1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => 8 [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => 9 [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => 8 [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => 9 [1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => 10 [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => 10 [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => 11 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 12 [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => 11 [1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0] => 11 [1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => 12 [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => 10 [1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0] => 8 [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => 9 [1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => 11 [1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0] => 10 [1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => 11 [1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0] => 12 [1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => 13 [1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0] => 11 [1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0] => 10 [1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0] => 11 [1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => 12 [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => 9 [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => 8 [1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0] => 11 [1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => 10 [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => 10 [1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0] => 11 [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0] => 9 [1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0] => 9 [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => 9 [1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0] => 10 [1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0] => 12 [1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0] => 11 [1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0] => 12 [1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0] => 13 [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => 14 [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => 12 [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => 11 [1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => 12 [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => 13 [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] => 10 [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] => 7 [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => 8 [1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => 10 [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => 9 [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => 10 [1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => 11 [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => 12 [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] => 10 [1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0] => 11 [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => 12 [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => 13 [1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => 14 [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => 11 [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0] => 7 [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => 8 [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => 9 [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] => 10 [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] => 11 [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => 12 [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => 8 [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => 3 [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0] => 5 [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5 [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => 7 [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => 6 [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0] => 4 [1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0] => 6 [1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0] => 5 [1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0] => 6 [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => 7 [1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0] => 7 [1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0] => 7 [1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0] => 7 [1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0] => 7 [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => 7 [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0] => 7 [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0] => 9 [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0] => 7 [1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0] => 5 [1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] => 7 [1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0] => 10 [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => 11 [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0] => 10 [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => 10 [1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0] => 11 [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0] => 9 [1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0] => 10 [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => 9 [1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0] => 11 [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => 12 [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => 10 [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0] => 8 [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => 9 [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0] => 10 [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0] => 11 [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => 8 [1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0] => 8 [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => 9 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 9 [1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => 12 [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0] => 11 [1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0] => 11 [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => 12 [1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => 10 [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => 10 [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0] => 11 [1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => 13 [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => 12 [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => 13 [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => 14 [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => 15 [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => 13 [1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0] => 10 [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => 12 [1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0] => 13 [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0] => 14 [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] => 11 [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => 8 [1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0] => 9 [1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => 11 [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => 10 [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0] => 12 [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0] => 13 [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => 11 [1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => 12 [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => 13 [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] => 14 [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => 15 [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => 12 [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => 8 [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => 9 [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] => 10 [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => 11 [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0] => 12 [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => 13 [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => 9 [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => 4 [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0] => 6 [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => 6 [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0] => 5 [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0] => 6 [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => 7 [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0] => 7 [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0] => 7 [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => 8 [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => 7 [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0] => 6 [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => 7 [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => 10 [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0] => 9 [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => 7 [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => 9 [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0] => 10 [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => 8 [1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => 7 [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => 8 [1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => 8 [1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0] => 11 [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0] => 10 [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => 12 [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => 13 [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0] => 11 [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => 8 [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0] => 9 [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => 10 [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0] => 11 [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => 12 [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] => 9 [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => 9 [1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0] => 10 [1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => 11 [1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0] => 12 [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0] => 11 [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => 12 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => 13 [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0] => 14 [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] => 12 [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => 12 [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0] => 13 [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => 14 [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => 15 [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => 16 [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => 13 [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => 9 [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => 10 [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] => 11 [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => 12 [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => 13 [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => 14 [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => 10 [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => 5 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => 6 [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] => 6 [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => 7 [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => 7 [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => 7 [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => 8 [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => 9 [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => 8 [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => 8 [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => 9 [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] => 10 [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => 11 [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => 9 [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => 9 [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] => 10 [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => 11 [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => 12 [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => 13 [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => 10 [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 10 [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => 11 [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0] => 12 [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => 13 [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => 14 [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => 15 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => 11 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 6 [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => 7 [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => 8 [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => 9 [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => 10 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => 11 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => 12 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 7 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 7 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 7 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] => 12 [1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => 12 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => 11 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0] => 11 [1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => 11 [1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => 11 [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0] => 10 [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0] => 10 [1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => 15 [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0] => 10 [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,1,0] => 13 [1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => 13 [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0] => 7 [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 7 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] => 7 [1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => 16 [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 7 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => 6 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 6 [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0] => 11 [1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 11 [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 6 [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0] => 10 [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0] => 10 [1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 10 [1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 10 [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,1,0] => 9 [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,1,0,0] => 13 [1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => 13 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 8 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 8 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => 8 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => 9 [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => 8 [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => 8 [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => 9 [1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => 10 [1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => 9 [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => 8 [1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => 9 [1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => 10 [1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => 8 [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => 8 [1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => 11 [1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => 10 [1,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0] => 11 [1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => 12 [1,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0] => 9 [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0] => 10 [1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => 12 [1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => 11 [1,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0] => 12 [1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => 14 [1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0] => 10 [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => 8 [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => 8 [1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0] => 8 [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => 12 [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 13 [1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => 12 [1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => 13 [1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => 16 [1,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => 11 [1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => 11 [1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => 16 [1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => 12 [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => 8 [1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => 11 [1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => 12 [1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => 13 [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 8 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 8 [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => 8 [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => 9 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => 13 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 14 [1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => 15 [1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => 10 [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 9 [1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => 13 [1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0] => 15 [1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0] => 10 [1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0] => 14 [1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0] => 15 [1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0] => 15 [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => 18 [1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => 16 [1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0] => 12 [1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0] => 10 [1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0] => 12 [1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0] => 15 [1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => 16 [1,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0,0] => 12 [1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => 17 [1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => 15 [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0] => 11 [1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0] => 14 [1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => 16 [1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0] => 11 [1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0] => 17 [1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0] => 14 [1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0] => 15 [1,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0] => 12 [1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0] => 15 [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0] => 16 [1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => 16 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0] => 12 [1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0] => 16 [1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => 17 [1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0] => 12 [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0] => 8 [1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0] => 8 [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0] => 11 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0] => 12 [1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0] => 15 [1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0] => 16 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0] => 13 [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => 18 [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => 13 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => 8 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => 9 [1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0] => 10 [1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => 11 [1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => 12 [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => 13 [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => 14 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 8 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 1 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 2 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 3 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 4 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 5 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 6 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 2 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 3 [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 4 [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 5 [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 6 [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => 7 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 4 [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 3 [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 7 [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 5 [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 8 [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => 9 [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 7 [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 7 [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => 9 [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 6 [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 9 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => 11 [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => 8 [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => 11 [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 8 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 12 [1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 5 [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => 10 [1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => 15 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 2 [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 3 [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 1 [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3 [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1 [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 4 [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 5 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 2 [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 2 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 4 [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 6 [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 2 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => 5 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => 6 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 2 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 2 [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 2 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 4 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 6 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 2 [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 5 [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 7 [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => 3 [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => 7 [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => 4 [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => 7 [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0] => 5 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0] => 7 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 2 [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 3 [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => 4 [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => 5 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 6 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 7 [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 3 [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => 4 [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => 5 [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => 6 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => 7 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 3 [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 4 [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 3 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 3 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => 12 [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => 10 [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => 8 [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => 6 [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 4 [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0] => 6 [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0] => 5 [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0] => 4 [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 3 [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => 11 [1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 11 [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => 11 [1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 7 [1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => 8 [1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0] => 9 [1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0] => 10 [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => 3 [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2 [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => 5 [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 3 [1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => 11 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 7 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 7 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => 7 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7 [1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => 7 [1,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => 7 [1,1,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => 9 [1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => 11 [1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 13 [1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 7 [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => 8 [1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => 8 [1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0] => 9 [1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0] => 9 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0] => 7 [1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0] => 8 [1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => 10 [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 4 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 8 [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => 6 [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => 5 [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 4 [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 3 [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => 5 [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => 6 [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => 7 [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => 7 [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => 6 [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 5 [1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => 7 [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0] => 8 [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0] => 6 [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => 7 [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 6 [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => 5 [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => 6 [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 8 [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0] => 8 [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => 7 [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => 7 [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 7 [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 7 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => 8 [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 8 [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0] => 14 [1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => 14 [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0] => 13 [1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => 13 [1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => 18 [1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => 20 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] => 8 [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 8 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0] => 7 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 7 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0] => 13 [1,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => 13 [1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 7 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 1 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 2 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 3 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 4 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 5 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 6 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 8 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 9 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 9 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 5 [1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 9 [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => 12 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 14 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => 15 [1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => 18 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 2 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 1 [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3 [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 4 [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 6 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 4 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => 6 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 2 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 5 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 2 [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 8 [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 3 [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 8 [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => 4 [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => 8 [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0] => 5 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0] => 8 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0] => 6 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0] => 8 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => 9 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 2 [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 3 [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 4 [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => 5 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => 6 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 7 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 8 [1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => 21 [1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0] => 21 [1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => 19 [1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => 19 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 9 [1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0] => 15 [1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => 15 [1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0] => 19 [1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0] => 19 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 3 [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 9 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => 9 [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0] => 15 [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => 16 [1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0] => 14 [1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0] => 13 [1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 12 [1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 11 [1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 10 [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 15 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 2 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 3 [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => 11 [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => 10 [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => 9 [1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => 20 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => 9 [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => 11 [1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => 13 [1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => 15 [1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => 17 [1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => 19 [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => 21 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0] => 10 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0] => 11 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0] => 12 [1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0] => 13 [1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0] => 14 [1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => 12 [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0] => 19 [1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => 19 [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 6 [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => 7 [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => 8 [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => 9 [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => 8 [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => 7 [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => 6 [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 5 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => 10 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => 11 [1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => 13 [1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 14 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 16 [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => 10 [1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => 11 [1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => 12 [1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => 13 [1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => 14 [1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 15 [1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => 14 [1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => 14 [1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => 13 [1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => 14 [1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => 14 [1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => 12 [1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => 12 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => 12 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => 12 [1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => 14 [1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => 14 [1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => 13 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => 14 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => 14 [1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 11 [1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 11 [1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 10 [1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 11 [1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 11 [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => 10 [1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => 10 [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => 10 [1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 10 [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => 11 [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => 11 [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 10 [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => 11 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => 11 [1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => 14 [1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => 14 [1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => 13 [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => 14 [1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0] => 14 [1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => 12 [1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => 12 [1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => 12 [1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => 12 [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => 14 [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => 14 [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => 13 [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => 14 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 14 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => 14 [1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0] => 20 [1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => 15 [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0] => 14 [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0] => 14 [1,1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => 14 [1,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => 14 [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => 25 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0] => 9 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0] => 12 [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0] => 10 [1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 10 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => 9 [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => 9 [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0] => 16 [1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0] => 15 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0] => 11 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 1 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 2 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 10 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 2 [1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 10 [1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => 25 [1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => 25 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1 [1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0] => 17 [1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0] => 17 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0] => 10 [1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0] => 18 [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0] => 17 [1,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => 17 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 10 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => 11 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => 12 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => 13 [1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => 14 [1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 15 [1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 16 [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 17 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 18 [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] => 10 [1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 9 [1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => 10 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0] => 9 [1,1,1,0,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 9 [1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => 20 [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 9 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0] => 7 [1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 7 [1,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0] => 12 [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0] => 10 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0 [1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => 20 [1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0] => 20 [1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0] => 19 [1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0] => 20 [1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0] => 20 [1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0] => 18 [1,0,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0] => 18 [1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0] => 18 [1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => 18 [1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0] => 20 [1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0] => 20 [1,0,1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0] => 19 [1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0] => 20 [1,0,1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0] => 20 [1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => 17 [1,0,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => 17 [1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => 16 [1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => 17 [1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => 17 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => 16 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0] => 16 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => 16 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => 16 [1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0] => 17 [1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0] => 17 [1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => 16 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0] => 17 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => 17 [1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0] => 20 [1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0] => 20 [1,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => 19 [1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0] => 20 [1,0,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0] => 20 [1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => 18 [1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => 18 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0] => 18 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => 18 [1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0] => 20 [1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0] => 20 [1,0,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => 19 [1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => 20 [1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => 20 [1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => 16 [1,1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => 16 [1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => 15 [1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => 16 [1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => 16 [1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => 14 [1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => 14 [1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => 14 [1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => 14 [1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => 16 [1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => 16 [1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => 15 [1,1,0,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => 16 [1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => 16 [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 14 [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 14 [1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 13 [1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 14 [1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 14 [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 14 [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 14 [1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 13 [1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 14 [1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 14 [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0] => 14 [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0] => 14 [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => 14 [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => 14 [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => 13 [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => 13 [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => 14 [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 14 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => 14 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 14 [1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0] => 16 [1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0] => 16 [1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => 15 [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0] => 16 [1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => 16 [1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => 14 [1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => 14 [1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 14 [1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 14 [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0] => 16 [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => 16 [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => 15 [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => 16 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => 16 [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0] => 20 [1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0] => 20 [1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0] => 19 [1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0] => 20 [1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0] => 20 [1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => 18 [1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => 18 [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0] => 18 [1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => 18 [1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0] => 20 [1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0] => 20 [1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => 19 [1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0] => 20 [1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0] => 20 [1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => 17 [1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => 17 [1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => 16 [1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => 17 [1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0] => 17 [1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => 16 [1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => 16 [1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => 16 [1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => 16 [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0] => 17 [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => 17 [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => 16 [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => 17 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => 17 [1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0] => 20 [1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0] => 20 [1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => 19 [1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0] => 20 [1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0] => 20 [1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => 18 [1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => 18 [1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => 18 [1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => 18 [1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0] => 20 [1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0] => 20 [1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => 19 [1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0] => 20 [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 20 [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0] => 11 [1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] => 11 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0] => 10 [1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => 15 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 8 [1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0] => 11 [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0] => 17 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 6 [1,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => 42 [1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0] => 12 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0] => 12 [1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0] => 13 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0 [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0] => 14 [1,1,1,1,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0] => 63 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 28 [1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => 21 [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => 42 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 12 [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0] => 15 [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0] => 15 [1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] => 16 [1,1,1,1,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0] => 171 [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] => 27 ----------------------------------------------------------------------------- Created: Feb 17, 2016 at 20:41 by Christian Stump ----------------------------------------------------------------------------- Last Updated: Dec 30, 2023 at 12:12 by Martin Rubey