***************************************************************************** * 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: St001910 ----------------------------------------------------------------------------- Collection: Dyck paths ----------------------------------------------------------------------------- Description: The height of the middle non-run of a Dyck path. A non-run of a Dyck path is a pair of steps which are not both up or both down, that is, which either form a peak or a valley. The number of non-runs is odd. This statistic returns the height of the middle non-run. ----------------------------------------------------------------------------- References: ----------------------------------------------------------------------------- Code: def statistic(D): H = D.heights() T := [H[i+1] for i in range(len(D)-1) if D[i] != D[i+1]] return T[(len(T)-1)/2] ----------------------------------------------------------------------------- Statistic values: [1,0] => 1 [1,0,1,0] => 0 [1,1,0,0] => 2 [1,0,1,0,1,0] => 1 [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] => 3 [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] => 2 [1,0,1,1,0,1,0,0] => 2 [1,0,1,1,1,0,0,0] => 0 [1,1,0,0,1,0,1,0] => 1 [1,1,0,0,1,1,0,0] => 0 [1,1,0,1,0,0,1,0] => 2 [1,1,0,1,0,1,0,0] => 2 [1,1,0,1,1,0,0,0] => 1 [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] => 2 [1,1,1,1,0,0,0,0] => 4 [1,0,1,0,1,0,1,0,1,0] => 1 [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] => 0 [1,0,1,0,1,1,1,0,0,0] => 1 [1,0,1,1,0,0,1,0,1,0] => 0 [1,0,1,1,0,0,1,1,0,0] => 2 [1,0,1,1,0,1,0,0,1,0] => 1 [1,0,1,1,0,1,0,1,0,0] => 1 [1,0,1,1,0,1,1,0,0,0] => 2 [1,0,1,1,1,0,0,0,1,0] => 3 [1,0,1,1,1,0,0,1,0,0] => 3 [1,0,1,1,1,0,1,0,0,0] => 3 [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] => 1 [1,1,0,0,1,1,0,0,1,0] => 2 [1,1,0,0,1,1,0,1,0,0] => 2 [1,1,0,0,1,1,1,0,0,0] => 0 [1,1,0,1,0,0,1,0,1,0] => 0 [1,1,0,1,0,0,1,1,0,0] => 2 [1,1,0,1,0,1,0,0,1,0] => 1 [1,1,0,1,0,1,0,1,0,0] => 1 [1,1,0,1,0,1,1,0,0,0] => 2 [1,1,0,1,1,0,0,0,1,0] => 3 [1,1,0,1,1,0,0,1,0,0] => 3 [1,1,0,1,1,0,1,0,0,0] => 3 [1,1,0,1,1,1,0,0,0,0] => 1 [1,1,1,0,0,0,1,0,1,0] => 1 [1,1,1,0,0,0,1,1,0,0] => 0 [1,1,1,0,0,1,0,0,1,0] => 2 [1,1,1,0,0,1,0,1,0,0] => 2 [1,1,1,0,0,1,1,0,0,0] => 1 [1,1,1,0,1,0,0,0,1,0] => 3 [1,1,1,0,1,0,0,1,0,0] => 3 [1,1,1,0,1,0,1,0,0,0] => 3 [1,1,1,0,1,1,0,0,0,0] => 2 [1,1,1,1,0,0,0,0,1,0] => 0 [1,1,1,1,0,0,0,1,0,0] => 1 [1,1,1,1,0,0,1,0,0,0] => 2 [1,1,1,1,0,1,0,0,0,0] => 3 [1,1,1,1,1,0,0,0,0,0] => 5 [1,0,1,0,1,0,1,0,1,0,1,0] => 0 [1,0,1,0,1,0,1,0,1,1,0,0] => 1 [1,0,1,0,1,0,1,1,0,0,1,0] => 1 [1,0,1,0,1,0,1,1,0,1,0,0] => 1 [1,0,1,0,1,0,1,1,1,0,0,0] => 0 [1,0,1,0,1,1,0,0,1,0,1,0] => 2 [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] => 2 [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] => 0 [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] => 1 [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] => 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] => 0 [1,0,1,1,0,0,1,1,1,0,0,0] => 2 [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] => 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] => 2 [1,0,1,1,0,1,0,1,1,0,0,0] => 1 [1,0,1,1,0,1,1,0,0,0,1,0] => 1 [1,0,1,1,0,1,1,0,0,1,0,0] => 1 [1,0,1,1,0,1,1,0,1,0,0,0] => 1 [1,0,1,1,0,1,1,1,0,0,0,0] => 2 [1,0,1,1,1,0,0,0,1,0,1,0] => 0 [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] => 1 [1,0,1,1,1,0,0,1,0,1,0,0] => 1 [1,0,1,1,1,0,0,1,1,0,0,0] => 3 [1,0,1,1,1,0,1,0,0,0,1,0] => 2 [1,0,1,1,1,0,1,0,0,1,0,0] => 2 [1,0,1,1,1,0,1,0,1,0,0,0] => 2 [1,0,1,1,1,0,1,1,0,0,0,0] => 3 [1,0,1,1,1,1,0,0,0,0,1,0] => 4 [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] => 4 [1,0,1,1,1,1,0,1,0,0,0,0] => 4 [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] => 1 [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] => 0 [1,1,0,0,1,0,1,1,1,0,0,0] => 1 [1,1,0,0,1,1,0,0,1,0,1,0] => 0 [1,1,0,0,1,1,0,0,1,1,0,0] => 2 [1,1,0,0,1,1,0,1,0,0,1,0] => 1 [1,1,0,0,1,1,0,1,0,1,0,0] => 1 [1,1,0,0,1,1,0,1,1,0,0,0] => 2 [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] => 3 [1,1,0,0,1,1,1,0,1,0,0,0] => 3 [1,1,0,0,1,1,1,1,0,0,0,0] => 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] => 0 [1,1,0,1,0,0,1,1,0,0,1,0] => 0 [1,1,0,1,0,0,1,1,0,1,0,0] => 0 [1,1,0,1,0,0,1,1,1,0,0,0] => 2 [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] => 1 [1,1,0,1,0,1,0,1,0,0,1,0] => 2 [1,1,0,1,0,1,0,1,0,1,0,0] => 2 [1,1,0,1,0,1,0,1,1,0,0,0] => 1 [1,1,0,1,0,1,1,0,0,0,1,0] => 1 [1,1,0,1,0,1,1,0,0,1,0,0] => 1 [1,1,0,1,0,1,1,0,1,0,0,0] => 1 [1,1,0,1,0,1,1,1,0,0,0,0] => 2 [1,1,0,1,1,0,0,0,1,0,1,0] => 0 [1,1,0,1,1,0,0,0,1,1,0,0] => 3 [1,1,0,1,1,0,0,1,0,0,1,0] => 1 [1,1,0,1,1,0,0,1,0,1,0,0] => 1 [1,1,0,1,1,0,0,1,1,0,0,0] => 3 [1,1,0,1,1,0,1,0,0,0,1,0] => 2 [1,1,0,1,1,0,1,0,0,1,0,0] => 2 [1,1,0,1,1,0,1,0,1,0,0,0] => 2 [1,1,0,1,1,0,1,1,0,0,0,0] => 3 [1,1,0,1,1,1,0,0,0,0,1,0] => 4 [1,1,0,1,1,1,0,0,0,1,0,0] => 4 [1,1,0,1,1,1,0,0,1,0,0,0] => 4 [1,1,0,1,1,1,0,1,0,0,0,0] => 4 [1,1,0,1,1,1,1,0,0,0,0,0] => 1 [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] => 1 [1,1,1,0,0,0,1,1,0,0,1,0] => 2 [1,1,1,0,0,0,1,1,0,1,0,0] => 2 [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] => 0 [1,1,1,0,0,1,0,0,1,1,0,0] => 2 [1,1,1,0,0,1,0,1,0,0,1,0] => 1 [1,1,1,0,0,1,0,1,0,1,0,0] => 1 [1,1,1,0,0,1,0,1,1,0,0,0] => 2 [1,1,1,0,0,1,1,0,0,0,1,0] => 3 [1,1,1,0,0,1,1,0,0,1,0,0] => 3 [1,1,1,0,0,1,1,0,1,0,0,0] => 3 [1,1,1,0,0,1,1,1,0,0,0,0] => 1 [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] => 3 [1,1,1,0,1,0,0,1,0,0,1,0] => 1 [1,1,1,0,1,0,0,1,0,1,0,0] => 1 [1,1,1,0,1,0,0,1,1,0,0,0] => 3 [1,1,1,0,1,0,1,0,0,0,1,0] => 2 [1,1,1,0,1,0,1,0,0,1,0,0] => 2 [1,1,1,0,1,0,1,0,1,0,0,0] => 2 [1,1,1,0,1,0,1,1,0,0,0,0] => 3 [1,1,1,0,1,1,0,0,0,0,1,0] => 4 [1,1,1,0,1,1,0,0,0,1,0,0] => 4 [1,1,1,0,1,1,0,0,1,0,0,0] => 4 [1,1,1,0,1,1,0,1,0,0,0,0] => 4 [1,1,1,0,1,1,1,0,0,0,0,0] => 2 [1,1,1,1,0,0,0,0,1,0,1,0] => 1 [1,1,1,1,0,0,0,0,1,1,0,0] => 0 [1,1,1,1,0,0,0,1,0,0,1,0] => 2 [1,1,1,1,0,0,0,1,0,1,0,0] => 2 [1,1,1,1,0,0,0,1,1,0,0,0] => 1 [1,1,1,1,0,0,1,0,0,0,1,0] => 3 [1,1,1,1,0,0,1,0,0,1,0,0] => 3 [1,1,1,1,0,0,1,0,1,0,0,0] => 3 [1,1,1,1,0,0,1,1,0,0,0,0] => 2 [1,1,1,1,0,1,0,0,0,0,1,0] => 4 [1,1,1,1,0,1,0,0,0,1,0,0] => 4 [1,1,1,1,0,1,0,0,1,0,0,0] => 4 [1,1,1,1,0,1,0,1,0,0,0,0] => 4 [1,1,1,1,0,1,1,0,0,0,0,0] => 3 [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] => 2 [1,1,1,1,1,0,0,1,0,0,0,0] => 3 [1,1,1,1,1,0,1,0,0,0,0,0] => 4 [1,1,1,1,1,1,0,0,0,0,0,0] => 6 [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1 [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] => 0 [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 1 [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 0 [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 1 [1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 0 [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 0 [1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 1 [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 1 [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 1 [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 1 [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 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] => 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] => 2 [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] => 2 [1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 1 [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 1 [1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 2 [1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 2 [1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 2 [1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 2 [1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 0 [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 3 [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 0 [1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 3 [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 3 [1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 0 [1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 3 [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 3 [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 3 [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] => 0 [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] => 0 [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 1 [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] => 1 [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 1 [1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 1 [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 0 [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] => 0 [1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 2 [1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 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] => 0 [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] => 2 [1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 0 [1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 2 [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 2 [1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 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] => 1 [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] => 1 [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 1 [1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 2 [1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 2 [1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 2 [1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 2 [1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 1 [1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 3 [1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 1 [1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 3 [1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 3 [1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 1 [1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 3 [1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 3 [1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 3 [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 1 [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 1 [1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 1 [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 1 [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 1 [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 2 [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 1 [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 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] => 0 [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 3 [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 2 [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 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] => 2 [1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 1 [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 1 [1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 1 [1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 1 [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 3 [1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 3 [1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 2 [1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 3 [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 3 [1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 2 [1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 3 [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 3 [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 3 [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 2 [1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 2 [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 2 [1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 2 [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 2 [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 3 [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] => 4 [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] => 1 [1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 4 [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 2 [1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 2 [1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 2 [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 4 [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 3 [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 3 [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 3 [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 3 [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 4 [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 5 [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] => 5 [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 5 [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 5 [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] => 1 [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 1 [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 1 [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 0 [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] => 0 [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 2 [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 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] => 0 [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] => 1 [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 1 [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 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] => 0 [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 2 [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 2 [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 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] => 2 [1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 1 [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 1 [1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 1 [1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 1 [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 2 [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 0 [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 3 [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 1 [1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 1 [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 3 [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 2 [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 2 [1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 2 [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 3 [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 4 [1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 4 [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 4 [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 4 [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] => 0 [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 1 [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 1 [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 1 [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 0 [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2 [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 0 [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 2 [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 2 [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 0 [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 0 [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 0 [1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 0 [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2 [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 0 [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] => 2 [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 1 [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 1 [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 2 [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 1 [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 1 [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 2 [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] => 2 [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] => 1 [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 3 [1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 1 [1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 3 [1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 3 [1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 1 [1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 3 [1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 3 [1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 3 [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] => 1 [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] => 1 [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 2 [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 1 [1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 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] => 0 [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 3 [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 2 [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 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] => 2 [1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 1 [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 1 [1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 1 [1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 1 [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 3 [1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 3 [1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 2 [1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 3 [1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 3 [1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 2 [1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 3 [1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 3 [1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 3 [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 2 [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 2 [1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 2 [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 2 [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 2 [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 3 [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] => 4 [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] => 1 [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 4 [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 2 [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 2 [1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 2 [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 4 [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 3 [1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 3 [1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 3 [1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 3 [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 4 [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] => 5 [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 5 [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 5 [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 5 [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1 [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 1 [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 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] => 0 [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 1 [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 0 [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 2 [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 1 [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 1 [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 2 [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 3 [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3 [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 3 [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 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] => 0 [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 0 [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 0 [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2 [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] => 1 [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 2 [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 2 [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 1 [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 1 [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 1 [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 1 [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 2 [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 0 [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3 [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 1 [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 1 [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3 [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 2 [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 2 [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 2 [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 3 [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 4 [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 4 [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 4 [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 4 [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1 [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 1 [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 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] => 0 [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3 [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 2 [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 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] => 2 [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 1 [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 1 [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 1 [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 1 [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3 [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 3 [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 2 [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 3 [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 3 [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 2 [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 3 [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 3 [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 3 [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 2 [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 2 [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 2 [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 2 [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 2 [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 3 [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] => 4 [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] => 1 [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 4 [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 2 [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 2 [1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 2 [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 4 [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 3 [1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 3 [1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 3 [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 3 [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 4 [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 5 [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 5 [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 5 [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 5 [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 5 [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 2 [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 0 [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 1 [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 2 [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 2 [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 0 [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 0 [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2 [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 1 [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 1 [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 2 [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 3 [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 3 [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 3 [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 1 [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] => 3 [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 1 [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 1 [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 3 [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 2 [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 2 [1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 2 [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 3 [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 4 [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 4 [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 4 [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 4 [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 2 [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 0 [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 4 [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 1 [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 1 [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 4 [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 2 [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 2 [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 2 [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 4 [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 3 [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 3 [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 3 [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 3 [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 4 [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 5 [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 5 [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 5 [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 5 [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 5 [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 3 [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 1 [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] => 2 [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 2 [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 1 [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 3 [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 3 [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 3 [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 2 [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 4 [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 4 [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 4 [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 4 [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 3 [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 5 [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 5 [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 5 [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 5 [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 5 [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 4 [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] => 2 [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 3 [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 4 [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 5 [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 7 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 1 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 1 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 1 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 0 [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] => 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] => 1 [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] => 0 [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] => 1 [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 2 [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] => 0 [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 1 [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 2 [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 0 [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] => 2 [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 0 [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] => 0 [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] => 1 [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] => 1 [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 0 [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 0 [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 1 [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 0 [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 0 [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] => 1 [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 1 [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] => 1 [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] => 1 [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] => 0 [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 2 [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] => 2 [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 0 [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 0 [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 2 [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 2 [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 2 [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 2 [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 0 [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] => 1 [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 1 [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 1 [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 2 [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] => 1 [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 2 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 2 [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 1 [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 1 [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 1 [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 1 [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 2 [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 1 [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 2 [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 1 [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 1 [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 2 [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 1 [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 1 [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 1 [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 2 [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 2 [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 2 [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 2 [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 2 [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 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] => 3 [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3 [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 3 [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 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] => 3 [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 1 [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 1 [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 3 [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 3 [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 3 [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 3 [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] => 2 [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 3 [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 2 [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] => 3 [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 2 [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 2 [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 2 [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 3 [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 3 [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 3 [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 3 [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 3 [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] => 4 [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] => 4 [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 4 [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] => 4 [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 4 [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 4 [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] => 4 [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 4 [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 4 [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 4 [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] => 0 [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] => 0 [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] => 1 [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] => 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] => 0 [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 1 [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 0 [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 1 [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 0 [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 0 [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 1 [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 1 [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 1 [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 1 [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 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] => 2 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2 [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 2 [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] => 2 [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 1 [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 1 [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 2 [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 2 [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 2 [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 2 [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] => 3 [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] => 3 [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 3 [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 0 [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 3 [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 3 [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 3 [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] => 0 [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] => 0 [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 2 [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 1 [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 0 [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 0 [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 0 [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 2 [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 0 [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2 [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 0 [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 0 [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 2 [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 2 [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 2 [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 2 [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] => 1 [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 1 [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 1 [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 2 [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 2 [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 1 [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 2 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 2 [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 1 [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 1 [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 1 [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 1 [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 2 [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 1 [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 2 [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 1 [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 1 [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 2 [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 1 [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 1 [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 1 [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 2 [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 2 [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 2 [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 2 [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 2 [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 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] => 3 [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 3 [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 3 [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 1 [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 1 [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 3 [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 1 [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 1 [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 3 [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 3 [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 3 [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 3 [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 1 [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 2 [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 3 [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 2 [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 2 [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 3 [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 2 [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 2 [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 2 [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 3 [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 3 [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 3 [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 3 [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 3 [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 1 [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 4 [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 1 [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 4 [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 4 [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 1 [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 4 [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 4 [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 4 [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 1 [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 4 [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 4 [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 4 [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 4 [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 1 [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 1 [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 1 [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 1 [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 1 [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 1 [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 2 [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] => 1 [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 1 [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 1 [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 0 [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 2 [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 0 [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 2 [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 2 [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 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] => 0 [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] => 3 [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 0 [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 2 [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2 [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 2 [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 1 [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 1 [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 2 [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 1 [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 1 [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 2 [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 2 [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 2 [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 2 [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 1 [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 3 [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 1 [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 3 [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3 [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 1 [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 3 [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 3 [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 3 [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 1 [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 1 [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 1 [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 1 [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 1 [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3 [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] => 3 [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 3 [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3 [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2 [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] => 3 [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 1 [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 1 [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 3 [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3 [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 3 [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 3 [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2 [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 2 [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 3 [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 2 [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 2 [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3 [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 2 [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 2 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 2 [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 3 [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 3 [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 3 [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 3 [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 3 [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 2 [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 4 [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2 [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 4 [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 4 [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 2 [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 4 [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 4 [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 4 [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 2 [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 4 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 4 [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 4 [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 4 [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 2 [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 2 [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 2 [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 2 [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 2 [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 2 [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 3 [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 1 [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] => 0 [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 4 [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 2 [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 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] => 2 [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] => 1 [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 1 [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 1 [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 4 [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 3 [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2 [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 3 [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 3 [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 2 [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 3 [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 3 [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 3 [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 2 [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 2 [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 2 [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 2 [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 2 [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 4 [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 4 [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 3 [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 4 [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 4 [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 3 [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 4 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 4 [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 4 [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 3 [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 4 [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 4 [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 4 [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 4 [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 3 [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 3 [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 3 [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 3 [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 3 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 3 [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 4 [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] => 5 [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] => 1 [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 5 [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 2 [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 2 [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 2 [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 5 [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 3 [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 3 [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 3 [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 3 [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 5 [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 4 [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 4 [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 4 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 4 [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 4 [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 5 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 6 [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] => 6 [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 6 [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 6 [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 6 [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] => 1 [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] => 0 [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 1 [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 0 [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 1 [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => 0 [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => 0 [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => 1 [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 1 [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => 1 [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => 1 [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 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] => 2 [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 2 [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => 2 [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] => 2 [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => 1 [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => 1 [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => 2 [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => 2 [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => 2 [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => 2 [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] => 3 [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] => 3 [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => 3 [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] => 3 [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => 3 [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => 3 [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] => 0 [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] => 0 [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 1 [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 0 [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 1 [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 1 [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => 1 [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 0 [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 2 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 0 [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 2 [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] => 0 [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => 0 [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 2 [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 0 [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 2 [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 2 [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] => 1 [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] => 1 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => 1 [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => 2 [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => 2 [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] => 2 [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] => 3 [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 1 [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 3 [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => 3 [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => 1 [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => 3 [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => 3 [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => 3 [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => 1 [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => 1 [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => 1 [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => 1 [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] => 2 [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 1 [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 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] => 0 [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 3 [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 2 [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 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] => 2 [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => 1 [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 1 [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 1 [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => 1 [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => 3 [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 3 [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 2 [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 3 [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => 3 [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => 2 [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => 3 [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => 3 [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => 3 [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => 2 [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => 2 [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => 2 [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => 2 [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => 2 [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => 3 [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] => 4 [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] => 1 [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => 4 [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 2 [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 2 [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => 2 [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => 4 [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => 3 [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => 3 [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => 3 [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => 3 [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => 4 [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] => 5 [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => 5 [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => 5 [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => 5 [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] => 0 [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => 0 [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => 0 [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] => 0 [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] => 0 [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => 0 [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => 1 [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 1 [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 1 [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => 1 [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => 0 ----------------------------------------------------------------------------- Created: Aug 07, 2023 at 18:04 by Martin Rubey ----------------------------------------------------------------------------- Last Updated: Aug 07, 2023 at 18:04 by Martin Rubey