***************************************************************************** * 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: St000011 ----------------------------------------------------------------------------- Collection: Dyck paths ----------------------------------------------------------------------------- Description: The number of touch points (or returns) of a Dyck path. This is the number of points, excluding the origin, where the Dyck path has height 0. ----------------------------------------------------------------------------- References: ----------------------------------------------------------------------------- Code: def statistic(x): return x.number_of_touch_points() ----------------------------------------------------------------------------- Statistic values: [] => 0 [1,0] => 1 [1,0,1,0] => 2 [1,1,0,0] => 1 [1,0,1,0,1,0] => 3 [1,0,1,1,0,0] => 2 [1,1,0,0,1,0] => 2 [1,1,0,1,0,0] => 1 [1,1,1,0,0,0] => 1 [1,0,1,0,1,0,1,0] => 4 [1,0,1,0,1,1,0,0] => 3 [1,0,1,1,0,0,1,0] => 3 [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] => 3 [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] => 1 [1,1,0,1,1,0,0,0] => 1 [1,1,1,0,0,0,1,0] => 2 [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] => 5 [1,0,1,0,1,0,1,1,0,0] => 4 [1,0,1,0,1,1,0,0,1,0] => 4 [1,0,1,0,1,1,0,1,0,0] => 3 [1,0,1,0,1,1,1,0,0,0] => 3 [1,0,1,1,0,0,1,0,1,0] => 4 [1,0,1,1,0,0,1,1,0,0] => 3 [1,0,1,1,0,1,0,0,1,0] => 3 [1,0,1,1,0,1,0,1,0,0] => 2 [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] => 2 [1,0,1,1,1,0,1,0,0,0] => 2 [1,0,1,1,1,1,0,0,0,0] => 2 [1,1,0,0,1,0,1,0,1,0] => 4 [1,1,0,0,1,0,1,1,0,0] => 3 [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] => 3 [1,1,0,1,0,0,1,1,0,0] => 2 [1,1,0,1,0,1,0,0,1,0] => 2 [1,1,0,1,0,1,0,1,0,0] => 1 [1,1,0,1,0,1,1,0,0,0] => 1 [1,1,0,1,1,0,0,0,1,0] => 2 [1,1,0,1,1,0,0,1,0,0] => 1 [1,1,0,1,1,0,1,0,0,0] => 1 [1,1,0,1,1,1,0,0,0,0] => 1 [1,1,1,0,0,0,1,0,1,0] => 3 [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] => 1 [1,1,1,0,1,0,0,0,1,0] => 2 [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] => 2 [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] => 6 [1,0,1,0,1,0,1,0,1,1,0,0] => 5 [1,0,1,0,1,0,1,1,0,0,1,0] => 5 [1,0,1,0,1,0,1,1,0,1,0,0] => 4 [1,0,1,0,1,0,1,1,1,0,0,0] => 4 [1,0,1,0,1,1,0,0,1,0,1,0] => 5 [1,0,1,0,1,1,0,0,1,1,0,0] => 4 [1,0,1,0,1,1,0,1,0,0,1,0] => 4 [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] => 4 [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] => 3 [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] => 5 [1,0,1,1,0,0,1,0,1,1,0,0] => 4 [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] => 4 [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] => 2 [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] => 3 [1,0,1,1,0,1,1,0,0,1,0,0] => 2 [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] => 4 [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] => 2 [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] => 3 [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] => 2 [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] => 2 [1,0,1,1,1,1,0,0,1,0,0,0] => 2 [1,0,1,1,1,1,0,1,0,0,0,0] => 2 [1,0,1,1,1,1,1,0,0,0,0,0] => 2 [1,1,0,0,1,0,1,0,1,0,1,0] => 5 [1,1,0,0,1,0,1,0,1,1,0,0] => 4 [1,1,0,0,1,0,1,1,0,0,1,0] => 4 [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] => 4 [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] => 2 [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] => 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] => 4 [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] => 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] => 3 [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] => 2 [1,1,0,1,0,1,0,1,0,1,0,0] => 1 [1,1,0,1,0,1,0,1,1,0,0,0] => 1 [1,1,0,1,0,1,1,0,0,0,1,0] => 2 [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] => 1 [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] => 2 [1,1,0,1,1,0,0,1,0,0,1,0] => 2 [1,1,0,1,1,0,0,1,0,1,0,0] => 1 [1,1,0,1,1,0,0,1,1,0,0,0] => 1 [1,1,0,1,1,0,1,0,0,0,1,0] => 2 [1,1,0,1,1,0,1,0,0,1,0,0] => 1 [1,1,0,1,1,0,1,0,1,0,0,0] => 1 [1,1,0,1,1,0,1,1,0,0,0,0] => 1 [1,1,0,1,1,1,0,0,0,0,1,0] => 2 [1,1,0,1,1,1,0,0,0,1,0,0] => 1 [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] => 4 [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] => 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] => 3 [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] => 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] => 1 [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] => 1 [1,1,1,0,0,1,1,0,1,0,0,0] => 1 [1,1,1,0,0,1,1,1,0,0,0,0] => 1 [1,1,1,0,1,0,0,0,1,0,1,0] => 3 [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] => 1 [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] => 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] => 1 [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] => 3 [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] => 1 [1,1,1,1,0,0,1,0,0,0,1,0] => 2 [1,1,1,1,0,0,1,0,0,1,0,0] => 1 [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] => 1 [1,1,1,1,0,1,0,0,0,0,1,0] => 2 [1,1,1,1,0,1,0,0,0,1,0,0] => 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] => 2 [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] => 7 [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 6 [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 6 [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 5 [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 5 [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 6 [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 5 [1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 5 [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 4 [1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 4 [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 5 [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 4 [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] => 4 [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 6 [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 5 [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 5 [1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 4 [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 4 [1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 5 [1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 4 [1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 4 [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 3 [1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 3 [1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 4 [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] => 3 [1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 3 [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 5 [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 4 [1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 4 [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] => 3 [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] => 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] => 3 [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 4 [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 3 [1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 3 [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 3 [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 3 [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 6 [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 5 [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 5 [1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 4 [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 4 [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 5 [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 4 [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] => 3 [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] => 5 [1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 4 [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] => 4 [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] => 3 [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 2 [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] => 3 [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] => 2 [1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 4 [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] => 3 [1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 2 [1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 2 [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] => 2 [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] => 2 [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 3 [1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 2 [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 2 [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 2 [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 2 [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 5 [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 4 [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] => 4 [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] => 3 [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] => 2 [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 3 [1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 2 [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] => 4 [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] => 3 [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 2 [1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 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] => 2 [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 2 [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] => 3 [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 2 [1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 2 [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 2 [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 2 [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 4 [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] => 3 [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 2 [1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 2 [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 3 [1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 2 [1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 2 [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 2 [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 3 [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 2 [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 2 [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 2 [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 2 [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 3 [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 2 [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 2 [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 2 [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 2 [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 2 [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 6 [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 5 [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 5 [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 4 [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 4 [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 5 [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] => 4 [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 3 [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] => 4 [1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 3 [1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 3 [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 3 [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 5 [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] => 4 [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 3 [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 3 [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 4 [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 3 [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] => 2 [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] => 2 [1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 2 [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] => 4 [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] => 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] => 2 [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] => 2 [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 2 [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 2 [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 5 [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 4 [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 4 [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 3 [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 3 [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 4 [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 3 [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] => 2 [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] => 4 [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 3 [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] => 3 [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] => 2 [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 1 [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 1 [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 2 [1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 1 [1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 1 [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 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] => 2 [1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 2 [1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 1 [1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 1 [1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 2 [1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 1 [1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 1 [1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 1 [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 2 [1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 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] => 1 [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 4 [1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 3 [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] => 2 [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] => 1 [1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 1 [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 2 [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] => 1 [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] => 2 [1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 1 [1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 1 [1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 2 [1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 1 [1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 1 [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 1 [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] => 1 [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 1 [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 1 [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 1 [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 3 [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2 [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 2 [1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 1 [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 1 [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] => 1 [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] => 1 [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 2 [1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 1 [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] => 2 [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 1 [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 1 [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 1 [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 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] => 5 [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 4 [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 4 [1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 3 [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3 [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 4 [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 3 [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] => 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] => 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] => 4 [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] => 3 [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 2 [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2 [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 3 [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 2 [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 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] => 1 [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] => 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] => 1 [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 3 [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2 [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 2 [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 1 [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 1 [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 2 [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 1 [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 1 [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 1 [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] => 1 [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 1 [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 1 [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1 [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] => 3 [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] => 3 [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 2 [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] => 1 [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] => 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] => 1 [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] => 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] => 1 [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 2 [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] => 1 [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] => 3 [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2 [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 2 [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 1 [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 1 [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] => 1 [1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 1 [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 1 [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] => 1 [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] => 1 [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] => 1 [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] => 4 [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 3 [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] => 3 [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2 [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 2 [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 1 [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 1 [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2 [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 1 [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 1 [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] => 3 [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2 [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 2 [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 1 [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 1 [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] => 1 [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] => 1 [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] => 1 [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 1 [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 1 [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 1 [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 3 [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] => 1 [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] => 1 [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 1 [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 1 [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 2 [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 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] => 2 [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 1 [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 1 [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 1 [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 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] => 3 [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] => 1 [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 2 [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 1 [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] => 1 [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] => 1 [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] => 1 [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2 [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 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] => 2 [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] => 8 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 7 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 7 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 6 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 6 [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 7 [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 6 [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 6 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 5 [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 5 [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 6 [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 5 [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 5 [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 5 [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 7 [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 6 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 4 [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 5 [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 4 [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 4 [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 4 [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 4 [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] => 7 [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 6 [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 5 [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 5 [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 4 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 3 [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 3 [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 4 [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 6 [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 3 [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 3 [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 4 [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 3 [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] => 4 [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 3 [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 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] => 3 [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 4 [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 4 [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 3 [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 3 [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] => 3 [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 3 [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 3 [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 3 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 7 [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 6 [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 5 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 5 [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] => 6 [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 5 [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 4 [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 3 [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] => 2 [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 2 [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 4 [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 2 [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 6 [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 4 [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 4 [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3 [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4 [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 2 [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 3 [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 5 [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3 [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 3 [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 2 [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 2 [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 4 [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 2 [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 3 [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 [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 2 [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 2 [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 4 [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 3 [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 2 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 2 [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 2 [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 2 [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 4 [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 2 [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 4 [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 2 [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 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 2 [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 2 [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 2 [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 2 [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 2 [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 4 [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 3 [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 2 [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 2 [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 2 [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 2 [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 3 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 2 [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 2 [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 2 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 3 [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 2 [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] => 2 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 2 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 6 [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 6 [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 5 [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 5 [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 6 [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => 4 [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => 3 [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => 3 [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => 3 [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 3 [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 6 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 4 [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => 3 [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 3 [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 5 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => 2 [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => 2 [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => 2 [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 5 [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => 2 [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 3 [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => 2 [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => 2 [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => 2 [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 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] => 2 [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] => 2 [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => 2 [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => 2 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 2 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 6 [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => 5 [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => 4 [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => 3 [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 5 [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] => 2 [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] => 3 [1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0] => 2 [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 2 [1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0] => 2 [1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => 2 [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => 2 [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => 5 [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0] => 3 [1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0] => 3 [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] => 3 [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => 2 [1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => 3 [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2 [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] => 3 [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => 3 [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => 2 [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => 2 [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 3 [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => 2 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 2 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 1 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 1 [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => 2 [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => 1 [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => 1 [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => 1 [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => 3 [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => 1 [1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => 1 [1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0] => 2 [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => 1 [1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => 1 [1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0] => 2 [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => 1 [1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => 1 [1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => 1 [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => 1 [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] => 1 [1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0] => 1 [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0] => 1 [1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0] => 1 [1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0] => 3 [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => 1 [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => 1 [1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => 1 [1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0] => 1 [1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0] => 3 [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0] => 1 [1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0] => 1 [1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => 1 [1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0] => 1 [1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => 1 [1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0] => 1 [1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2 [1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0] => 1 [1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0] => 1 [1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => 1 [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1 [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => 5 [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => 3 [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] => 3 [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => 3 [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2 [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => 1 [1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0] => 1 [1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0] => 1 [1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0] => 1 [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2 [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => 2 [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => 1 [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => 1 [1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0] => 1 [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0] => 1 [1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0] => 1 [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1 [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0] => 4 [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 2 [1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => 1 [1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0] => 3 [1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0] => 2 [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0] => 1 [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => 1 [1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => 1 [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => 2 [1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => 1 [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0] => 1 [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => 1 [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] => 1 [1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0] => 1 [1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0] => 1 [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0] => 1 [1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2 [1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => 1 [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0] => 1 [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => 2 [1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0] => 1 [1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => 1 [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => 1 [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => 1 [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => 1 [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0] => 1 [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => 2 [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => 1 [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => 1 [1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0] => 1 [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0] => 1 [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0] => 1 [1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => 1 [1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => 1 [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => 1 [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2 [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => 1 [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0] => 1 [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0] => 1 [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => 1 [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => 1 [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => 1 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 6 [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => 5 [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] => 3 [1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0] => 2 [1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0] => 2 [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => 3 [1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0] => 2 [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => 2 [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => 5 [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0] => 2 [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] => 3 [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => 2 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => 1 [1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0] => 1 [1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0] => 1 [1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0] => 1 [1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0] => 1 [1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0] => 1 [1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => 1 [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0] => 1 [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => 1 [1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0] => 1 [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => 1 [1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0] => 1 [1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0] => 1 [1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0] => 1 [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => 1 [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0] => 1 [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0] => 1 [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => 1 [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => 5 [1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0] => 3 [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 3 [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => 2 [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => 2 [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 2 [1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => 2 [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => 1 [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => 2 [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => 4 [1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0] => 3 [1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0] => 3 [1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0] => 2 [1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => 2 [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => 1 [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => 3 [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => 2 [1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => 1 [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => 2 [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => 1 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 1 [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => 1 [1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0] => 1 [1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => 1 [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => 1 [1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0] => 2 [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => 1 [1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => 1 [1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0] => 1 [1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => 1 [1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0] => 1 [1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => 1 [1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0] => 1 [1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0] => 1 [1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0] => 1 [1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => 1 [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => 1 [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => 2 [1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0] => 1 [1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => 1 [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => 1 [1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0] => 1 [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0] => 1 [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => 2 [1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0] => 1 [1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0] => 1 [1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0] => 1 [1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0] => 1 [1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0] => 1 [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => 1 [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => 1 [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => 1 [1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => 1 [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => 1 [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] => 1 [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] => 2 [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => 1 [1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => 1 [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => 1 [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => 1 [1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => 1 [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => 1 [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] => 1 [1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0] => 1 [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => 1 [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => 1 [1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => 1 [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => 1 [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0] => 2 [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => 1 [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => 1 [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] => 1 [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] => 1 [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => 1 [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => 1 [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => 5 [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0] => 3 [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 3 [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => 2 [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => 2 [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0] => 4 [1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0] => 3 [1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0] => 2 [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => 1 [1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0] => 1 [1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0] => 1 [1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0] => 1 [1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0] => 1 [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => 1 [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0] => 1 [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0] => 1 [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0] => 1 [1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0] => 4 [1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] => 2 [1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0] => 1 [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => 1 [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0] => 1 [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => 1 [1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0] => 1 [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0] => 1 [1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0] => 1 [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => 1 [1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0] => 1 [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => 1 [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => 1 [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => 1 [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0] => 1 [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0] => 1 [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => 1 [1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0] => 2 [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => 1 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 2 [1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => 1 [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0] => 1 [1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0] => 1 [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => 1 [1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => 1 [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => 2 [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0] => 1 [1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => 1 [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => 1 [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => 1 [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => 1 [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => 1 [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => 1 [1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0] => 2 [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => 1 [1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0] => 1 [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0] => 1 [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] => 1 [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => 2 [1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => 1 [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => 1 [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0] => 1 [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0] => 1 [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => 1 [1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => 1 [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => 1 [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] => 1 [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => 1 [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => 1 [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => 2 [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => 1 [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] => 1 [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => 1 [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0] => 1 [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => 1 [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => 1 [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] => 2 [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => 2 [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0] => 3 [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0] => 2 [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => 1 [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0] => 1 [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0] => 1 [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => 1 [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => 1 [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0] => 3 [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => 2 [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => 1 [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0] => 1 [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => 2 [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => 1 [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0] => 1 [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => 1 [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => 2 [1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0] => 1 [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0] => 1 [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => 1 [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => 1 [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0] => 1 [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => 2 [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0] => 1 [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => 1 [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0] => 1 [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => 1 [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] => 1 [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => 2 [1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => 1 [1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0] => 1 [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0] => 1 [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => 1 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => 1 [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0] => 1 [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] => 1 [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => 2 [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0] => 1 [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => 1 [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => 1 [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => 1 [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => 1 [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => 2 [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => 1 [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] => 1 [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => 1 [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => 1 [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => 1 [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => 3 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => 2 [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] => 2 [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => 1 [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => 1 [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => 2 [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => 1 [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => 1 [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => 1 [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => 2 [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => 1 [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] => 1 [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => 1 [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => 1 [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => 2 [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] => 1 [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => 1 [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => 1 [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => 1 [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 2 [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => 1 [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0] => 1 [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => 1 [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => 1 [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 2 [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => 1 [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => 1 [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => 1 [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => 1 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 2 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 2 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] => 2 [1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => 2 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => 2 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0] => 2 [1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => 2 [1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => 2 [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0] => 2 [1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => 2 [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0] => 2 [1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => 2 [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0] => 2 [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 2 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] => 2 [1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => 2 [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 2 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => 3 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 3 [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0] => 2 [1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 2 [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 3 [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0] => 2 [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0] => 2 [1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 2 [1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 2 [1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => 2 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 1 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 1 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => 1 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => 1 [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => 1 [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => 1 [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => 1 [1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => 1 [1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => 1 [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => 1 [1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => 1 [1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => 1 [1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => 1 [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => 1 [1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => 1 [1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => 1 [1,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0] => 1 [1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => 1 [1,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0] => 1 [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0] => 1 [1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => 1 [1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => 1 [1,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0] => 1 [1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => 1 [1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0] => 1 [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => 1 [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => 1 [1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0] => 1 [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => 1 [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 1 [1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => 1 [1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => 1 [1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => 1 [1,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => 1 [1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => 1 [1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => 1 [1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => 1 [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => 1 [1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => 1 [1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => 1 [1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => 1 [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 1 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 1 [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => 1 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => 1 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 1 [1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => 1 [1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => 1 [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 1 [1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => 1 [1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0] => 1 [1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0] => 1 [1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0] => 1 [1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0] => 1 [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => 1 [1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => 1 [1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0] => 1 [1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0] => 1 [1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0] => 1 [1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0] => 1 [1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => 1 [1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => 1 [1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => 1 [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0] => 1 [1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0] => 1 [1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => 1 [1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0] => 1 [1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0] => 1 [1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0] => 1 [1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0] => 1 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0] => 1 [1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0] => 1 [1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0] => 1 [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => 1 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => 1 [1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0] => 1 [1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => 1 [1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 1 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 8 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 7 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 6 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 5 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 4 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 3 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 2 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 7 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 6 [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 5 [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 4 [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 3 [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => 2 [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 3 [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 4 [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 3 [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => 2 [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 3 [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 4 [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => 2 [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 3 [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 3 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => 2 [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => 2 [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => 2 [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 3 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 2 [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => 2 [1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => 2 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 7 [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 6 [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 8 [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 6 [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 8 [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 5 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 7 [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 7 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 5 [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 3 [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 7 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => 3 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 7 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 7 [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 7 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 5 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 3 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7 [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 4 [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 2 [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => 6 [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => 2 [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => 5 [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => 2 [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0] => 4 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0] => 2 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7 [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 6 [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => 5 [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => 4 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 3 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 2 [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 6 [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => 5 [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => 4 [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => 3 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => 2 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 6 [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 5 [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 6 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 6 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => 2 [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => 3 [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => 4 [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => 5 [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 6 [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0] => 3 [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0] => 4 [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0] => 5 [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 6 [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => 2 [1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 2 [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => 2 [1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 2 [1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => 2 [1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0] => 2 [1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0] => 2 [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => 6 [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 7 [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => 4 [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 6 [1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => 2 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 2 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 2 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => 2 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 2 [1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => 2 [1,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2 [1,1,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => 2 [1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => 2 [1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 2 [1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 2 [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => 2 [1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => 2 [1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0] => 2 [1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0] => 2 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0] => 2 [1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0] => 2 [1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => 2 [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 5 [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => 3 [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => 4 [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 5 [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 6 [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => 4 [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => 3 [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => 2 [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => 2 [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => 3 [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 4 [1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => 3 [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0] => 2 [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0] => 3 [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => 2 [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3 [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => 4 [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => 3 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => 2 [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 2 [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0] => 2 [1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => 2 [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0] => 2 [1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => 2 [1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => 2 [1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => 2 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] => 2 [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 2 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0] => 3 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 3 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0] => 2 [1,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => 2 [1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 3 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 10 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 9 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 8 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 7 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 6 [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] => 4 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 3 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 2 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 1 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 1 [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => 1 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 2 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => 1 [1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => 2 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 8 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 9 [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 7 [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 6 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 6 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 8 [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] => 8 [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 2 [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7 [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 2 [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => 6 [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => 2 [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] => 2 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0] => 4 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0] => 2 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => 1 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8 [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7 [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 6 [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] => 4 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 3 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 2 [1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0] => 1 [1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => 1 [1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => 1 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 1 [1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0] => 1 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 7 [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => 1 [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0] => 1 [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0] => 1 [1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 1 [1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 1 [1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 1 [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 1 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 8 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 7 [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => 1 [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => 1 [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => 1 [1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => 2 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => 1 [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => 1 [1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => 1 [1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => 1 [1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => 1 [1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => 1 [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => 1 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0] => 1 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0] => 1 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0] => 1 [1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0] => 1 [1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => 1 [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0] => 1 [1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => 1 [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 4 [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => 3 [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2 [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => 1 [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => 2 [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => 3 [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => 4 [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] => 1 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => 1 [1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => 1 [1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 1 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 1 [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => 1 [1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => 1 [1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => 1 [1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => 1 [1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => 1 [1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 1 [1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => 2 [1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => 2 [1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => 2 [1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => 2 [1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => 2 [1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => 2 [1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => 2 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => 2 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => 2 [1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => 2 [1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => 2 [1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => 2 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => 2 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => 2 [1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 2 [1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 2 [1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 2 [1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 2 [1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 2 [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => 2 [1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => 2 [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => 2 [1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 2 [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => 2 [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => 2 [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 2 [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => 2 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => 2 [1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => 2 [1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => 2 [1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => 2 [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => 2 [1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0] => 2 [1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => 2 [1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => 2 [1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => 2 [1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => 2 [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => 2 [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => 2 [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => 2 [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => 2 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 2 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => 2 [1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0] => 1 [1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0] => 1 [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0] => 1 [1,1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => 1 [1,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => 2 [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => 2 [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0] => 2 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 11 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 10 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 9 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 1 [1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => 1 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 10 [1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0] => 1 [1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0] => 1 [1,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => 1 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 1 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => 1 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => 1 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => 1 [1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => 1 [1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 1 [1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 1 [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 1 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 1 [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] => 1 [1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 2 [1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0] => 2 [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0] => 2 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 12 [1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => 2 [1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0] => 2 [1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0] => 2 [1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0] => 2 [1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0] => 2 [1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0] => 2 [1,0,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0] => 2 [1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0] => 2 [1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => 2 [1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0] => 2 [1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0] => 2 [1,0,1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0] => 2 [1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0] => 2 [1,0,1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0] => 2 [1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => 2 [1,0,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => 2 [1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => 2 [1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => 2 [1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => 2 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => 2 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0] => 2 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => 2 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => 2 [1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0] => 2 [1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0] => 2 [1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => 2 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0] => 2 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => 2 [1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0] => 2 [1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0] => 2 [1,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => 2 [1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0] => 2 [1,0,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0] => 2 [1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => 2 [1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => 2 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0] => 2 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => 2 [1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0] => 2 [1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0] => 2 [1,0,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => 2 [1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => 2 [1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => 2 [1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => 2 [1,1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => 2 [1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => 2 [1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => 2 [1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => 2 [1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => 2 [1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => 2 [1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => 2 [1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => 2 [1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => 2 [1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => 2 [1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => 2 [1,1,0,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => 2 [1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => 2 [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 2 [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 2 [1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 2 [1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 2 [1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 2 [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 2 [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 2 [1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 2 [1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 2 [1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 2 [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0] => 2 [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0] => 2 [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => 2 [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => 2 [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => 2 [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => 2 [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => 2 [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 2 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => 2 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 2 [1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0] => 2 [1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0] => 2 [1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => 2 [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0] => 2 [1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => 2 [1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => 2 [1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => 2 [1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 2 [1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 2 [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0] => 2 [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => 2 [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => 2 [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => 2 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => 2 [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0] => 2 [1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0] => 2 [1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0] => 2 [1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0] => 2 [1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0] => 2 [1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => 2 [1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => 2 [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0] => 2 [1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => 2 [1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0] => 2 [1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0] => 2 [1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => 2 [1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0] => 2 [1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0] => 2 [1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => 2 [1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => 2 [1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => 2 [1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => 2 [1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0] => 2 [1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => 2 [1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => 2 [1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => 2 [1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => 2 [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0] => 2 [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => 2 [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => 2 [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => 2 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => 2 [1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0] => 2 [1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0] => 2 [1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => 2 [1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0] => 2 [1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0] => 2 [1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => 2 [1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => 2 [1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => 2 [1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => 2 [1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0] => 2 [1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0] => 2 [1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => 2 [1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0] => 2 [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 2 [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0] => 1 [1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0] => 2 [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] => 13 [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] => 2 [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] => 14 [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] => 2 [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] => 15 [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0] => 2 ----------------------------------------------------------------------------- Created: Sep 27, 2011 at 19:28 by Chris Berg ----------------------------------------------------------------------------- Last Updated: Dec 26, 2022 at 18:34 by Martin Rubey