***************************************************************************** * 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: St001035 ----------------------------------------------------------------------------- Collection: Dyck paths ----------------------------------------------------------------------------- Description: The convexity degree of the parallelogram polyomino associated with the Dyck path. A parallelogram polyomino is $k$-convex if $k$ is the maximal number of turns an axis-parallel path must take to connect two cells of the polyomino. For example, any rotation of a Ferrers shape has convexity degree at most one. The (bivariate) generating function is given in Theorem 2 of [1]. ----------------------------------------------------------------------------- References: [1] Battaglino, D., Fedou, J. M., Rinaldi, S., Socci, S. The number of $k$-parallelogram polyominoes [[MathSciNet:3091068]] ----------------------------------------------------------------------------- Code: def statistic(D): return ParallelogramPolyomino.from_dyck_word(D).degree_convexity() ----------------------------------------------------------------------------- Statistic values: [1,0,1,0] => 0 [1,1,0,0] => 0 [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] => 0 [1,1,1,0,0,0] => 1 [1,0,1,0,1,0,1,0] => 0 [1,0,1,0,1,1,0,0] => 1 [1,0,1,1,0,0,1,0] => 2 [1,0,1,1,0,1,0,0] => 1 [1,0,1,1,1,0,0,0] => 1 [1,1,0,0,1,0,1,0] => 1 [1,1,0,0,1,1,0,0] => 2 [1,1,0,1,0,0,1,0] => 1 [1,1,0,1,0,1,0,0] => 0 [1,1,0,1,1,0,0,0] => 1 [1,1,1,0,0,0,1,0] => 1 [1,1,1,0,0,1,0,0] => 1 [1,1,1,0,1,0,0,0] => 1 [1,1,1,1,0,0,0,0] => 1 [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] => 2 [1,0,1,0,1,1,0,1,0,0] => 1 [1,0,1,0,1,1,1,0,0,0] => 1 [1,0,1,1,0,0,1,0,1,0] => 2 [1,0,1,1,0,0,1,1,0,0] => 3 [1,0,1,1,0,1,0,0,1,0] => 2 [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] => 2 [1,0,1,1,1,0,0,1,0,0] => 1 [1,0,1,1,1,0,1,0,0,0] => 1 [1,0,1,1,1,1,0,0,0,0] => 1 [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] => 3 [1,1,0,0,1,1,0,1,0,0] => 2 [1,1,0,0,1,1,1,0,0,0] => 2 [1,1,0,1,0,0,1,0,1,0] => 1 [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] => 0 [1,1,0,1,0,1,1,0,0,0] => 1 [1,1,0,1,1,0,0,0,1,0] => 1 [1,1,0,1,1,0,0,1,0,0] => 2 [1,1,0,1,1,0,1,0,0,0] => 1 [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] => 2 [1,1,1,0,0,1,0,0,1,0] => 2 [1,1,1,0,0,1,0,1,0,0] => 1 [1,1,1,0,0,1,1,0,0,0] => 2 [1,1,1,0,1,0,0,0,1,0] => 1 [1,1,1,0,1,0,0,1,0,0] => 1 [1,1,1,0,1,0,1,0,0,0] => 1 [1,1,1,0,1,1,0,0,0,0] => 1 [1,1,1,1,0,0,0,0,1,0] => 1 [1,1,1,1,0,0,0,1,0,0] => 1 [1,1,1,1,0,0,1,0,0,0] => 1 [1,1,1,1,0,1,0,0,0,0] => 1 [1,1,1,1,1,0,0,0,0,0] => 1 [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] => 2 [1,0,1,0,1,0,1,1,0,1,0,0] => 1 [1,0,1,0,1,0,1,1,1,0,0,0] => 1 [1,0,1,0,1,1,0,0,1,0,1,0] => 2 [1,0,1,0,1,1,0,0,1,1,0,0] => 3 [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] => 1 [1,0,1,0,1,1,0,1,1,0,0,0] => 2 [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] => 1 [1,0,1,0,1,1,1,0,1,0,0,0] => 1 [1,0,1,0,1,1,1,1,0,0,0,0] => 1 [1,0,1,1,0,0,1,0,1,0,1,0] => 2 [1,0,1,1,0,0,1,0,1,1,0,0] => 3 [1,0,1,1,0,0,1,1,0,0,1,0] => 4 [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] => 2 [1,0,1,1,0,1,0,1,0,1,0,0] => 1 [1,0,1,1,0,1,0,1,1,0,0,0] => 2 [1,0,1,1,0,1,1,0,0,0,1,0] => 2 [1,0,1,1,0,1,1,0,0,1,0,0] => 3 [1,0,1,1,0,1,1,0,1,0,0,0] => 2 [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] => 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] => 2 [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] => 2 [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] => 1 [1,0,1,1,1,0,1,0,1,0,0,0] => 1 [1,0,1,1,1,0,1,1,0,0,0,0] => 1 [1,0,1,1,1,1,0,0,0,0,1,0] => 2 [1,0,1,1,1,1,0,0,0,1,0,0] => 1 [1,0,1,1,1,1,0,0,1,0,0,0] => 2 [1,0,1,1,1,1,0,1,0,0,0,0] => 1 [1,0,1,1,1,1,1,0,0,0,0,0] => 1 [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] => 3 [1,1,0,0,1,0,1,1,0,1,0,0] => 2 [1,1,0,0,1,0,1,1,1,0,0,0] => 2 [1,1,0,0,1,1,0,0,1,0,1,0] => 3 [1,1,0,0,1,1,0,0,1,1,0,0] => 4 [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] => 2 [1,1,0,0,1,1,0,1,1,0,0,0] => 3 [1,1,0,0,1,1,1,0,0,0,1,0] => 3 [1,1,0,0,1,1,1,0,0,1,0,0] => 2 [1,1,0,0,1,1,1,0,1,0,0,0] => 2 [1,1,0,0,1,1,1,1,0,0,0,0] => 2 [1,1,0,1,0,0,1,0,1,0,1,0] => 1 [1,1,0,1,0,0,1,0,1,1,0,0] => 2 [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] => 2 [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] => 1 [1,1,0,1,0,1,0,0,1,1,0,0] => 2 [1,1,0,1,0,1,0,1,0,0,1,0] => 1 [1,1,0,1,0,1,0,1,0,1,0,0] => 0 [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] => 2 [1,1,0,1,0,1,1,0,1,0,0,0] => 1 [1,1,0,1,0,1,1,1,0,0,0,0] => 1 [1,1,0,1,1,0,0,0,1,0,1,0] => 1 [1,1,0,1,1,0,0,0,1,1,0,0] => 2 [1,1,0,1,1,0,0,1,0,0,1,0] => 3 [1,1,0,1,1,0,0,1,0,1,0,0] => 2 [1,1,0,1,1,0,0,1,1,0,0,0] => 2 [1,1,0,1,1,0,1,0,0,0,1,0] => 1 [1,1,0,1,1,0,1,0,0,1,0,0] => 2 [1,1,0,1,1,0,1,0,1,0,0,0] => 1 [1,1,0,1,1,0,1,1,0,0,0,0] => 2 [1,1,0,1,1,1,0,0,0,0,1,0] => 1 [1,1,0,1,1,1,0,0,0,1,0,0] => 2 [1,1,0,1,1,1,0,0,1,0,0,0] => 1 [1,1,0,1,1,1,0,1,0,0,0,0] => 1 [1,1,0,1,1,1,1,0,0,0,0,0] => 1 [1,1,1,0,0,0,1,0,1,0,1,0] => 1 [1,1,1,0,0,0,1,0,1,1,0,0] => 2 [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] => 2 [1,1,1,0,0,0,1,1,1,0,0,0] => 2 [1,1,1,0,0,1,0,0,1,0,1,0] => 2 [1,1,1,0,0,1,0,0,1,1,0,0] => 3 [1,1,1,0,0,1,0,1,0,0,1,0] => 2 [1,1,1,0,0,1,0,1,0,1,0,0] => 1 [1,1,1,0,0,1,0,1,1,0,0,0] => 2 [1,1,1,0,0,1,1,0,0,0,1,0] => 2 [1,1,1,0,0,1,1,0,0,1,0,0] => 2 [1,1,1,0,0,1,1,0,1,0,0,0] => 2 [1,1,1,0,0,1,1,1,0,0,0,0] => 2 [1,1,1,0,1,0,0,0,1,0,1,0] => 1 [1,1,1,0,1,0,0,0,1,1,0,0] => 2 [1,1,1,0,1,0,0,1,0,0,1,0] => 2 [1,1,1,0,1,0,0,1,0,1,0,0] => 1 [1,1,1,0,1,0,0,1,1,0,0,0] => 2 [1,1,1,0,1,0,1,0,0,0,1,0] => 1 [1,1,1,0,1,0,1,0,0,1,0,0] => 1 [1,1,1,0,1,0,1,0,1,0,0,0] => 1 [1,1,1,0,1,0,1,1,0,0,0,0] => 1 [1,1,1,0,1,1,0,0,0,0,1,0] => 2 [1,1,1,0,1,1,0,0,0,1,0,0] => 1 [1,1,1,0,1,1,0,0,1,0,0,0] => 2 [1,1,1,0,1,1,0,1,0,0,0,0] => 1 [1,1,1,0,1,1,1,0,0,0,0,0] => 1 [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] => 2 [1,1,1,1,0,0,0,1,0,0,1,0] => 2 [1,1,1,1,0,0,0,1,0,1,0,0] => 1 [1,1,1,1,0,0,0,1,1,0,0,0] => 2 [1,1,1,1,0,0,1,0,0,0,1,0] => 1 [1,1,1,1,0,0,1,0,0,1,0,0] => 2 [1,1,1,1,0,0,1,0,1,0,0,0] => 1 [1,1,1,1,0,0,1,1,0,0,0,0] => 2 [1,1,1,1,0,1,0,0,0,0,1,0] => 1 [1,1,1,1,0,1,0,0,0,1,0,0] => 1 [1,1,1,1,0,1,0,0,1,0,0,0] => 1 [1,1,1,1,0,1,0,1,0,0,0,0] => 1 [1,1,1,1,0,1,1,0,0,0,0,0] => 1 [1,1,1,1,1,0,0,0,0,0,1,0] => 1 [1,1,1,1,1,0,0,0,0,1,0,0] => 1 [1,1,1,1,1,0,0,0,1,0,0,0] => 1 [1,1,1,1,1,0,0,1,0,0,0,0] => 1 [1,1,1,1,1,0,1,0,0,0,0,0] => 1 [1,1,1,1,1,1,0,0,0,0,0,0] => 1 [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 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] => 2 [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 1 [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 1 [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 2 [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 3 [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] => 1 [1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 2 [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] => 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] => 1 [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 2 [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 3 [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 4 [1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 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] => 2 [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] => 3 [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] => 2 [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] => 2 [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 1 [1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 2 [1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 2 [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 1 [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 1 [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 1 [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 2 [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 1 [1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 2 [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 1 [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] => 2 [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 3 [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 4 [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] => 4 [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 5 [1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 4 [1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 3 [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] => 4 [1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3 [1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 3 [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 3 [1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 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] => 4 [1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 3 [1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 3 [1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 2 [1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 3 [1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 2 [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 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] => 3 [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] => 2 [1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 2 [1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 3 [1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 4 [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] => 3 [1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 2 [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] => 2 [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 3 [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 2 [1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 3 [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 2 [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 2 [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 2 [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 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] => 4 [1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 3 [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] => 3 [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] => 1 [1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 2 [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 2 [1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 3 [1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 2 [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 2 [1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 2 [1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 3 [1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 2 [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 1 [1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 2 [1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 2 [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 1 [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 1 [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 1 [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] => 1 [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] => 1 [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 1 [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 2 [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 3 [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 2 [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 1 [1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 2 [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 2 [1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 3 [1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 2 [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 2 [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 2 [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 1 [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 2 [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 1 [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 2 [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 2 [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 1 [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 2 [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 1 [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 1 [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1 [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] => 3 [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2 [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2 [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 3 [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 4 [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] => 2 [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 3 [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 3 [1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 2 [1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 2 [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 2 [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3 [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 4 [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 5 [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] => 3 [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] => 3 [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 3 [1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 4 [1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 3 [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 3 [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 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] => 3 [1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 2 [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 3 [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 3 [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 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] => 2 [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 3 [1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 2 [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 3 [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 2 [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 2 [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 1 [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2 [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] => 2 [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 2 [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] => 3 [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] => 3 [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 3 [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 2 [1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 2 [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2 [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 1 [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2 [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 3 [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] => 2 [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] => 0 [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 1 [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 1 [1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 2 [1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 1 [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 1 [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 1 [1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 2 [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] => 2 [1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 2 [1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 1 [1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 2 [1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 1 [1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 2 [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 1 [1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 2 [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 1 [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 1 [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 1 [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 1 [1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 2 [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 3 [1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 2 [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2 [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 3 [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 4 [1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 3 [1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 2 [1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 3 [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 3 [1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 2 [1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 2 [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 2 [1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 1 [1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 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] => 2 [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] => 1 [1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 2 [1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 1 [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 2 [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 3 [1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 2 [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 2 [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 2 [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 2 [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 1 [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2 [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 3 [1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 2 [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 2 [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 1 [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] => 1 [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 2 [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 1 [1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 2 [1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 1 [1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 1 [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 1 [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 1 [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 2 [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 1 [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 2 [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 1 [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] => 2 [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] => 2 [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 2 [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 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] => 3 [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 2 [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 3 [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] => 2 [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 2 [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 2 [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 2 [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 3 [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] => 3 [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3 [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] => 3 [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] => 1 [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 2 [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 2 [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3 [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 2 [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 2 [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 2 [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3 [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 3 [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 2 [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3 [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 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] => 2 [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2 [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 2 [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 2 [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 2 [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 2 [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 1 [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 2 [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 3 [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 2 [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2 [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] => 3 [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] => 1 [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 2 [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 2 [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 2 [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 2 [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2 [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 1 [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 2 [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 2 [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 1 [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 2 [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 1 [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 1 [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 1 [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 1 [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] => 1 [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] => 1 [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 1 [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 2 [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 3 [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 2 [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 1 [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 2 [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 2 [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 2 [1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 2 [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 2 [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 2 [1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 1 [1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 2 [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 1 [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 2 [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 2 [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 1 [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 2 [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 1 [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 1 [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 1 [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 1 [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 2 [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 3 [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 2 [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 2 [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 2 [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 3 [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 2 [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 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] => 2 [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 2 [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 2 [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 2 [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 1 [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2 [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 3 [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 2 [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 2 [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 1 [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] => 1 [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 2 [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 2 [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 2 [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 2 [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 2 [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 2 [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 1 [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 2 [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 2 [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 1 [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 2 [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 1 [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 2 [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 1 [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 2 [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 1 [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 1 [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 1 [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 1 [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 1 [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 1 [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 2 [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 1 [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 2 [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 1 [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 1 [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] => 2 [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 2 [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 1 [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 2 [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 1 [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 2 [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 1 [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 2 [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 2 [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 1 [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 2 [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 1 [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 2 [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 1 [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 1 [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 1 [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 1 [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 1 [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1 [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 1 [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 1 [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 1 [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 1 [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 1 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 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] => 2 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 1 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 1 [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 2 [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 3 [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] => 1 [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 2 [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] => 1 [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 1 [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 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] => 3 [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 4 [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] => 2 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 1 [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 2 [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 2 [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 3 [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 2 [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 2 [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 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] => 2 [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 1 [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 2 [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 2 [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 1 [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 1 [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 1 [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 2 [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 1 [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 2 [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 1 [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 1 [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 2 [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 3 [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 4 [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 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] => 4 [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 5 [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 4 [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 3 [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] => 4 [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3 [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 3 [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 3 [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] => 4 [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 3 [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 3 [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] => 3 [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] => 1 [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 2 [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 2 [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 3 [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 2 [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] => 2 [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 3 [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] => 3 [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 3 [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 2 [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 3 [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 2 [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 3 [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] => 3 [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 2 [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 2 [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 2 [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 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] => 4 [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] => 3 [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 2 [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] => 2 [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] => 2 [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 2 [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] => 2 [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 2 [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 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] => 1 [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 2 [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] => 1 [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 1 [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 1 [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 2 [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 1 [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 2 [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 1 [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 1 [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 2 [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 3 [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 2 [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 1 [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 2 [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 2 [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 3 [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 2 [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 2 [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 2 [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 1 [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 2 [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 1 [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 2 [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 2 [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 1 [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 2 [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 1 [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 1 [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] => 2 [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 3 [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 4 [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] => 4 [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 5 [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 4 [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 3 [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] => 4 [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 3 [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 3 [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 3 [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 4 [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 5 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 6 [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 5 [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 5 [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 4 [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 5 [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 4 [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 3 [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 4 [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] => 4 [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 4 [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 4 [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 5 [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] => 3 [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 4 [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 4 [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 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] => 3 [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] => 3 [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 4 [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 3 [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 3 [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 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] => 4 [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 3 [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 3 [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 4 [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 5 [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 4 [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 3 [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 4 [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] => 3 [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 3 [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 3 [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] => 3 [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] => 3 [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 3 [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] => 3 [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] => 1 [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 2 [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 2 [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 3 [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 2 [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 2 [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 2 [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 3 [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 4 [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 3 [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 3 [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 2 [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 3 [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 2 [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 3 [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] => 3 [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 2 [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 2 [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 2 [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 2 [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] => 4 [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] => 3 [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] => 4 [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 3 [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 4 [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 4 [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 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] => 3 [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] => 4 [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 3 [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] => 3 [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] => 4 [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] => 3 [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 2 [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 3 [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] => 3 [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 3 [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 2 [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 3 [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 2 [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 3 [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 2 [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 3 [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 2 [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 2 [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 2 [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2 [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 3 [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 2 [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 3 [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 2 [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 2 [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] => 4 [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 3 [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3 [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 4 [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 5 [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] => 3 [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 4 [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] => 3 [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 3 [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3 [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 2 [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 3 [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] => 3 [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3 [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 2 [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 3 [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 2 [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 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] => 3 [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] => 2 [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 2 [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3 [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 4 [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] => 3 [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 2 [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] => 2 [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 3 [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2 [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3 [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 2 [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 2 [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 2 [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 2 [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] => 4 [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] => 3 [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 2 [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] => 2 [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] => 2 [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 2 [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] => 2 [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] => 1 [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 2 [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] => 1 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 1 [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 1 [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 2 [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 1 [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 2 [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 1 [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 1 [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 2 [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 3 [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 2 [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 1 [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 2 [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 2 [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 3 [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 2 [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 2 [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 2 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 1 [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 2 [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 1 [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] => 1 [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] => 1 [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 1 [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 1 [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 2 [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 3 [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] => 3 [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 3 [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] => 3 [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] => 1 [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 2 [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2 [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 3 [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 2 [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 2 [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 2 [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 3 [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 4 [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] => 3 [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 2 [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 3 [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 2 [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 3 [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 2 [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 3 [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 2 [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 2 [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 2 [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 2 [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 3 [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 2 [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 1 [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 2 [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 2 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 3 [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 2 [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 2 [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 2 [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 1 [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 2 [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 1 [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 2 [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 2 [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 3 [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 2 [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 2 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 2 [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 2 [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 2 [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 3 [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 2 [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 1 [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 2 [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 2 [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 3 [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 2 [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 2 [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 2 [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 1 [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 2 [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 1 [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 2 [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2 [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 1 [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 2 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 1 [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 1 [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 1 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2 [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 1 [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 2 [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 1 [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 2 [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 1 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 1 [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] => 3 [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 2 [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 2 [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 3 [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 4 [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] => 2 [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => 3 [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 3 [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => 2 [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => 2 [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 2 [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 3 [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 4 [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 5 [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] => 3 [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => 2 [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => 3 [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => 3 [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => 4 [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => 3 [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => 3 [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 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] => 3 [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => 2 [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => 3 [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => 3 [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => 2 [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => 2 [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => 2 [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 3 [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => 2 [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => 3 [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => 2 [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 2 [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 3 [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 4 [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 5 [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] => 5 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 6 [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 5 [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => 4 [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] => 5 [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 4 [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => 4 [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4 [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] => 5 [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 4 [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 4 [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 3 [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 4 [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => 3 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => 2 [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => 3 [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => 3 [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => 4 [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => 3 [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => 3 [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] => 4 [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] => 4 [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => 4 [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => 3 [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => 4 [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => 3 [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => 4 [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => 3 [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => 4 [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => 3 [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => 3 [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => 3 [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 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] => 5 [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 4 [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 4 [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3 [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 4 [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3 [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => 2 [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => 3 [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 3 [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 4 [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => 3 [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] => 4 [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] => 2 [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => 3 [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] => 2 [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => 2 [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] => 3 [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] => 3 [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => 2 [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => 2 [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 3 [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] => 3 [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => 2 [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => 3 [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 3 [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 4 [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => 3 [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => 3 [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => 3 [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => 2 [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] => 2 [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => 3 [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 3 [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => 2 [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => 3 [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => 2 [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => 2 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 2 [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] => 2 [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] => 2 [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2 [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] => 3 [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => 2 [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => 3 [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 3 [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 2 [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => 2 [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => 2 [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3 ----------------------------------------------------------------------------- Created: Nov 06, 2017 at 11:19 by Martin Rubey ----------------------------------------------------------------------------- Last Updated: Nov 06, 2017 at 16:06 by Martin Rubey