***************************************************************************** * 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: St001033 ----------------------------------------------------------------------------- Collection: Dyck paths ----------------------------------------------------------------------------- Description: The normalized area of the parallelogram polyomino associated with the Dyck path. The area of the smallest parallelogram polyomino equals the semilength of the Dyck path. This statistic is therefore the area of the parallelogram polyomino minus the semilength of the Dyck path. The area itself is equidistributed with [[St001034]] and with [[St000395]]. ----------------------------------------------------------------------------- References: ----------------------------------------------------------------------------- Code: def statistic(D): return ParallelogramPolyomino.from_dyck_word(D).area()-D.semilength() ----------------------------------------------------------------------------- Statistic values: [] => 0 [1,0] => 0 [1,0,1,0] => 0 [1,1,0,0] => 0 [1,0,1,0,1,0] => 0 [1,0,1,1,0,0] => 0 [1,1,0,0,1,0] => 0 [1,1,0,1,0,0] => 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] => 0 [1,0,1,1,0,0,1,0] => 0 [1,0,1,1,0,1,0,0] => 0 [1,0,1,1,1,0,0,0] => 1 [1,1,0,0,1,0,1,0] => 0 [1,1,0,0,1,1,0,0] => 0 [1,1,0,1,0,0,1,0] => 0 [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] => 2 [1,1,1,1,0,0,0,0] => 2 [1,0,1,0,1,0,1,0,1,0] => 0 [1,0,1,0,1,0,1,1,0,0] => 0 [1,0,1,0,1,1,0,0,1,0] => 0 [1,0,1,0,1,1,0,1,0,0] => 0 [1,0,1,0,1,1,1,0,0,0] => 1 [1,0,1,1,0,0,1,0,1,0] => 0 [1,0,1,1,0,0,1,1,0,0] => 0 [1,0,1,1,0,1,0,0,1,0] => 0 [1,0,1,1,0,1,0,1,0,0] => 0 [1,0,1,1,0,1,1,0,0,0] => 1 [1,0,1,1,1,0,0,0,1,0] => 1 [1,0,1,1,1,0,0,1,0,0] => 1 [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] => 0 [1,1,0,0,1,0,1,1,0,0] => 0 [1,1,0,0,1,1,0,0,1,0] => 0 [1,1,0,0,1,1,0,1,0,0] => 0 [1,1,0,0,1,1,1,0,0,0] => 1 [1,1,0,1,0,0,1,0,1,0] => 0 [1,1,0,1,0,0,1,1,0,0] => 0 [1,1,0,1,0,1,0,0,1,0] => 0 [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] => 1 [1,1,0,1,1,0,1,0,0,0] => 2 [1,1,0,1,1,1,0,0,0,0] => 2 [1,1,1,0,0,0,1,0,1,0] => 1 [1,1,1,0,0,0,1,1,0,0] => 1 [1,1,1,0,0,1,0,0,1,0] => 1 [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] => 2 [1,1,1,0,1,0,0,1,0,0] => 2 [1,1,1,0,1,0,1,0,0,0] => 3 [1,1,1,0,1,1,0,0,0,0] => 3 [1,1,1,1,0,0,0,0,1,0] => 2 [1,1,1,1,0,0,0,1,0,0] => 2 [1,1,1,1,0,0,1,0,0,0] => 3 [1,1,1,1,0,1,0,0,0,0] => 3 [1,1,1,1,1,0,0,0,0,0] => 4 [1,0,1,0,1,0,1,0,1,0,1,0] => 0 [1,0,1,0,1,0,1,0,1,1,0,0] => 0 [1,0,1,0,1,0,1,1,0,0,1,0] => 0 [1,0,1,0,1,0,1,1,0,1,0,0] => 0 [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] => 0 [1,0,1,0,1,1,0,0,1,1,0,0] => 0 [1,0,1,0,1,1,0,1,0,0,1,0] => 0 [1,0,1,0,1,1,0,1,0,1,0,0] => 0 [1,0,1,0,1,1,0,1,1,0,0,0] => 1 [1,0,1,0,1,1,1,0,0,0,1,0] => 1 [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] => 2 [1,0,1,0,1,1,1,1,0,0,0,0] => 2 [1,0,1,1,0,0,1,0,1,0,1,0] => 0 [1,0,1,1,0,0,1,0,1,1,0,0] => 0 [1,0,1,1,0,0,1,1,0,0,1,0] => 0 [1,0,1,1,0,0,1,1,0,1,0,0] => 0 [1,0,1,1,0,0,1,1,1,0,0,0] => 1 [1,0,1,1,0,1,0,0,1,0,1,0] => 0 [1,0,1,1,0,1,0,0,1,1,0,0] => 0 [1,0,1,1,0,1,0,1,0,0,1,0] => 0 [1,0,1,1,0,1,0,1,0,1,0,0] => 0 [1,0,1,1,0,1,0,1,1,0,0,0] => 1 [1,0,1,1,0,1,1,0,0,0,1,0] => 1 [1,0,1,1,0,1,1,0,0,1,0,0] => 1 [1,0,1,1,0,1,1,0,1,0,0,0] => 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] => 1 [1,0,1,1,1,0,0,0,1,1,0,0] => 1 [1,0,1,1,1,0,0,1,0,0,1,0] => 1 [1,0,1,1,1,0,0,1,0,1,0,0] => 1 [1,0,1,1,1,0,0,1,1,0,0,0] => 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] => 2 [1,0,1,1,1,0,1,0,1,0,0,0] => 3 [1,0,1,1,1,0,1,1,0,0,0,0] => 3 [1,0,1,1,1,1,0,0,0,0,1,0] => 2 [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] => 3 [1,0,1,1,1,1,0,1,0,0,0,0] => 3 [1,0,1,1,1,1,1,0,0,0,0,0] => 4 [1,1,0,0,1,0,1,0,1,0,1,0] => 0 [1,1,0,0,1,0,1,0,1,1,0,0] => 0 [1,1,0,0,1,0,1,1,0,0,1,0] => 0 [1,1,0,0,1,0,1,1,0,1,0,0] => 0 [1,1,0,0,1,0,1,1,1,0,0,0] => 1 [1,1,0,0,1,1,0,0,1,0,1,0] => 0 [1,1,0,0,1,1,0,0,1,1,0,0] => 0 [1,1,0,0,1,1,0,1,0,0,1,0] => 0 [1,1,0,0,1,1,0,1,0,1,0,0] => 0 [1,1,0,0,1,1,0,1,1,0,0,0] => 1 [1,1,0,0,1,1,1,0,0,0,1,0] => 1 [1,1,0,0,1,1,1,0,0,1,0,0] => 1 [1,1,0,0,1,1,1,0,1,0,0,0] => 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] => 0 [1,1,0,1,0,0,1,0,1,1,0,0] => 0 [1,1,0,1,0,0,1,1,0,0,1,0] => 0 [1,1,0,1,0,0,1,1,0,1,0,0] => 0 [1,1,0,1,0,0,1,1,1,0,0,0] => 1 [1,1,0,1,0,1,0,0,1,0,1,0] => 0 [1,1,0,1,0,1,0,0,1,1,0,0] => 0 [1,1,0,1,0,1,0,1,0,0,1,0] => 0 [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] => 1 [1,1,0,1,0,1,1,0,1,0,0,0] => 2 [1,1,0,1,0,1,1,1,0,0,0,0] => 2 [1,1,0,1,1,0,0,0,1,0,1,0] => 1 [1,1,0,1,1,0,0,0,1,1,0,0] => 1 [1,1,0,1,1,0,0,1,0,0,1,0] => 1 [1,1,0,1,1,0,0,1,0,1,0,0] => 1 [1,1,0,1,1,0,0,1,1,0,0,0] => 2 [1,1,0,1,1,0,1,0,0,0,1,0] => 2 [1,1,0,1,1,0,1,0,0,1,0,0] => 2 [1,1,0,1,1,0,1,0,1,0,0,0] => 3 [1,1,0,1,1,0,1,1,0,0,0,0] => 3 [1,1,0,1,1,1,0,0,0,0,1,0] => 2 [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] => 3 [1,1,0,1,1,1,0,1,0,0,0,0] => 3 [1,1,0,1,1,1,1,0,0,0,0,0] => 4 [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] => 1 [1,1,1,0,0,0,1,1,0,0,1,0] => 1 [1,1,1,0,0,0,1,1,0,1,0,0] => 1 [1,1,1,0,0,0,1,1,1,0,0,0] => 2 [1,1,1,0,0,1,0,0,1,0,1,0] => 1 [1,1,1,0,0,1,0,0,1,1,0,0] => 1 [1,1,1,0,0,1,0,1,0,0,1,0] => 1 [1,1,1,0,0,1,0,1,0,1,0,0] => 1 [1,1,1,0,0,1,0,1,1,0,0,0] => 2 [1,1,1,0,0,1,1,0,0,0,1,0] => 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] => 3 [1,1,1,0,0,1,1,1,0,0,0,0] => 3 [1,1,1,0,1,0,0,0,1,0,1,0] => 2 [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] => 2 [1,1,1,0,1,0,0,1,1,0,0,0] => 3 [1,1,1,0,1,0,1,0,0,0,1,0] => 3 [1,1,1,0,1,0,1,0,0,1,0,0] => 3 [1,1,1,0,1,0,1,0,1,0,0,0] => 4 [1,1,1,0,1,0,1,1,0,0,0,0] => 4 [1,1,1,0,1,1,0,0,0,0,1,0] => 3 [1,1,1,0,1,1,0,0,0,1,0,0] => 3 [1,1,1,0,1,1,0,0,1,0,0,0] => 4 [1,1,1,0,1,1,0,1,0,0,0,0] => 4 [1,1,1,0,1,1,1,0,0,0,0,0] => 5 [1,1,1,1,0,0,0,0,1,0,1,0] => 2 [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] => 2 [1,1,1,1,0,0,0,1,1,0,0,0] => 3 [1,1,1,1,0,0,1,0,0,0,1,0] => 3 [1,1,1,1,0,0,1,0,0,1,0,0] => 3 [1,1,1,1,0,0,1,0,1,0,0,0] => 4 [1,1,1,1,0,0,1,1,0,0,0,0] => 4 [1,1,1,1,0,1,0,0,0,0,1,0] => 3 [1,1,1,1,0,1,0,0,0,1,0,0] => 3 [1,1,1,1,0,1,0,0,1,0,0,0] => 4 [1,1,1,1,0,1,0,1,0,0,0,0] => 4 [1,1,1,1,0,1,1,0,0,0,0,0] => 5 [1,1,1,1,1,0,0,0,0,0,1,0] => 4 [1,1,1,1,1,0,0,0,0,1,0,0] => 4 [1,1,1,1,1,0,0,0,1,0,0,0] => 5 [1,1,1,1,1,0,0,1,0,0,0,0] => 5 [1,1,1,1,1,0,1,0,0,0,0,0] => 6 [1,1,1,1,1,1,0,0,0,0,0,0] => 6 [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0 [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 0 [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 0 [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 0 [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 1 [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 0 [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 0 [1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 0 [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 0 [1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 1 [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 1 [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 1 [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 2 [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 2 [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 0 [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 0 [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 0 [1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 0 [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 1 [1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 0 [1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 0 [1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 0 [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 0 [1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 1 [1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 1 [1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 1 [1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 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] => 1 [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 1 [1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 1 [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 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] => 2 [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] => 2 [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 2 [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] => 4 [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 0 [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 0 [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 0 [1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 0 [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 1 [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 0 [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 0 [1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 0 [1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 0 [1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 1 [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 1 [1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 1 [1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 2 [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 2 [1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 0 [1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 0 [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 0 [1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 0 [1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 1 [1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 0 [1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 0 [1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 0 [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 0 [1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 1 [1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 1 [1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 1 [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] => 1 [1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 1 [1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 1 [1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 1 [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] => 2 [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] => 3 [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] => 2 [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 3 [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 3 [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 4 [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 1 [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 1 [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 1 [1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 1 [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 2 [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 1 [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 1 [1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 1 [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] => 2 [1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 3 [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 3 [1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 2 [1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 2 [1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 2 [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] => 3 [1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 3 [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 3 [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 4 [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 4 [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] => 3 [1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 4 [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 4 [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 5 [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] => 2 [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] => 2 [1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 3 [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] => 3 [1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 4 [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 4 [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 3 [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 3 [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 4 [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 4 [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 5 [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 4 [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 4 [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 5 [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 5 [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 6 [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 6 [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 0 [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 0 [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 0 [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 0 [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 1 [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 0 [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 0 [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 0 [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 0 [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 1 [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 1 [1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 1 [1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 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] => 0 [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 0 [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 0 [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 0 [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 1 [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 0 [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 0 [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 0 [1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 0 [1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 1 [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 1 [1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 1 [1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 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] => 1 [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 1 [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 1 [1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 1 [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 2 [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 2 [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 2 [1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 3 [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 3 [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 2 [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] => 3 [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4 [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 0 [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 0 [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 0 [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 0 [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 1 [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 0 [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 0 [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 0 [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 0 [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 1 [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 1 [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 1 [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] => 0 [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 0 [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 0 [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 0 [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 1 [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 0 [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 0 [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 0 [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] => 1 [1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 2 [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 2 [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 1 [1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 1 [1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 1 [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] => 2 [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] => 2 [1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 3 [1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 3 [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] => 2 [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 3 [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 3 [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 4 [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] => 1 [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 1 [1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 1 [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2 [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 1 [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 1 [1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 1 [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] => 2 [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] => 2 [1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 3 [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 3 [1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 2 [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] => 2 [1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 3 [1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 3 [1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 3 [1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 4 [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 4 [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] => 3 [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 4 [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 4 [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 5 [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 2 [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] => 2 [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 3 [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 3 [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 3 [1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 4 [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 4 [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 3 [1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 3 [1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 4 [1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 4 [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 5 [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 4 [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 4 [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 5 [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 5 [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 6 [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 6 [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 1 [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 1 [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 1 [1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 1 [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 2 [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 1 [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 1 [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 1 [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 1 [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 2 [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 2 [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] => 3 [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3 [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 1 [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 1 [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 1 [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 1 [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] => 1 [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 1 [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 1 [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] => 2 [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3 [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3 [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] => 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] => 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] => 3 [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 3 [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 4 [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 4 [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 3 [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3 [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 4 [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 4 [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 5 [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 2 [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] => 2 [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] => 3 [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 2 [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 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] => 2 [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 3 [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3 [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 3 [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 4 [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 4 [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] => 3 [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 3 [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 3 [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 4 [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 4 [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 4 [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 5 [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 5 [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 4 [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 4 [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 5 [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 5 [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 6 [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] => 3 [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 3 [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 3 [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 4 [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 4 [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 4 [1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 5 [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 5 [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 4 [1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 4 [1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 5 [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 5 [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 6 [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 5 [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 5 [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 6 [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 6 [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 7 [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 7 [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 2 [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] => 2 [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 2 [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 3 [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] => 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] => 2 [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 3 [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 3 [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 3 [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 4 [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 4 [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] => 3 [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] => 3 [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 4 [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 4 [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 4 [1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 5 [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 5 [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 4 [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 4 [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 5 [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 5 [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 6 [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] => 3 [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 3 [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 3 [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 4 [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 4 [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 4 [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 5 [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 5 [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 4 [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 4 [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 5 [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 5 [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 6 [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 5 [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 5 [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 6 [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 6 [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 7 [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 7 [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 4 [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 4 [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 4 [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 4 [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 5 [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 5 [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 5 [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 6 [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 6 [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 5 [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 5 [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 6 [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 6 [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 7 [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 6 [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 6 [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 7 [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 7 [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 8 [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 8 [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 6 [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 6 [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 7 [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 7 [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 8 [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 8 [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 9 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 0 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 0 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 0 [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] => 0 [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 0 [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 0 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 0 [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 1 [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 1 [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] => 2 [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 2 [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 0 [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 0 [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 0 [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 0 [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 1 [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 0 [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 0 [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 0 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 0 [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 1 [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 1 [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 1 [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 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] => 1 [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 1 [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 1 [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] => 2 [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 3 [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 3 [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] => 2 [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 3 [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 3 [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] => 0 [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 0 [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 0 [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 0 [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 1 [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 0 [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 0 [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 0 [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 0 [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 1 [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 1 [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 1 [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 2 [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 2 [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 0 [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 0 [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 0 [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 0 [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 1 [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 0 [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 0 [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 0 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 0 [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 1 [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 1 [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 1 [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 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] => 1 [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 1 [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 1 [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 1 [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 2 [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 2 [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 2 [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 3 [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] => 2 [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 3 [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 3 [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 4 [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 1 [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 1 [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 1 [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 1 [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 2 [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 1 [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 1 [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 1 [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 1 [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 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] => 2 [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 3 [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 3 [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] => 2 [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 2 [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 2 [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 3 [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 3 [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 3 [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 4 [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 4 [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 3 [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 3 [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 4 [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 4 [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 5 [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] => 2 [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] => 2 [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 3 [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 3 [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] => 4 [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 4 [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 3 [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 3 [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 4 [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 4 [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 5 [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] => 4 [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 5 [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 5 [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 6 [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 6 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 0 [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 0 [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 0 [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 0 [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 1 [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 0 [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 0 [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 0 [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 0 [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 1 [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 1 [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 1 [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 2 [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 2 [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 0 [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 0 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 0 [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 0 [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 1 [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 0 [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 0 [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 0 [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 0 [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 1 [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 1 [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 1 [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 2 [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 2 [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 1 [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 1 [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 1 [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 1 [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 2 [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 2 [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 2 [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] => 2 [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 2 [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 3 [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] => 4 [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 0 [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 0 [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 0 [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 0 [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 1 [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 0 [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 0 [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 0 [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 0 [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 1 [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 1 [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 1 [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 2 [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2 [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 0 [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 0 [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 0 [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 0 [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 1 [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 0 [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 0 [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 0 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 0 [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 1 [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 1 [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 1 [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 2 [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 2 [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 1 [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 1 [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 1 [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 1 [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 2 [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 2 [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 2 [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 3 [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] => 2 [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 3 [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 3 [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 4 [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 1 [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 1 [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 1 [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 1 [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2 [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 1 [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 1 [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 1 [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 1 [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 2 [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 2 [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 2 [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] => 2 [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 2 [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 2 [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 3 [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 3 [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] => 4 [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 4 [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 3 [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 3 [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 4 [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 4 [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 5 [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] => 2 [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 2 [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 2 [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 3 [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 3 [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] => 4 [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 4 [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 3 [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] => 4 [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 4 [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 5 [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 4 [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 4 [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 5 [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 5 [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 6 [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 6 [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 1 [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 1 [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 1 [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 1 [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 2 [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 1 [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 1 [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 1 [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 1 [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 2 [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 2 [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 2 [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] => 1 [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 1 [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 1 [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 1 [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2 [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 1 [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 1 [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 1 [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 1 [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 2 [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 2 [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 2 [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3 [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3 [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] => 2 [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 2 [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 2 [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3 [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 3 [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 3 [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 4 [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 4 [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 3 [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] => 4 [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 4 [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 5 [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] => 2 [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 2 [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 2 [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] => 2 [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] => 2 [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 3 [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3 [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 3 [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 4 [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 4 [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 3 [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] => 3 [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 3 [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 4 [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 4 [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 4 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 5 [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 5 [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 4 [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 4 [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 5 [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 5 [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 6 [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 3 [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] => 3 [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 3 [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 4 [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 4 [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 4 [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 5 [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 5 [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 4 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 4 [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 5 [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 5 [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 6 [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 5 [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 5 [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 6 [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 6 [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 7 [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 7 [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 2 [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 2 [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 2 [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 2 [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] => 2 [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 2 [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 2 [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 3 [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 3 [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] => 4 [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 4 [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 3 [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 3 [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 3 [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 3 [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 4 [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 4 [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 4 [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 5 [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 5 [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 4 [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 4 [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 5 [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 5 [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 6 [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 3 [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] => 3 [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 3 [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 4 [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 4 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 4 [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 5 [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 5 [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 4 [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 4 [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 5 [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 5 [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 6 [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 5 [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 5 [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 6 [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 6 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 7 [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 7 [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] => 4 [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 4 [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 4 [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 5 [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 5 [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 5 [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 6 [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 6 [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 5 [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 5 [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 6 [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 6 [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 7 [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 6 [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 6 [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 7 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 7 [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 8 [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 8 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 6 [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 6 [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 7 [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 7 [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 8 [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 8 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 9 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 0 [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 0 [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 0 [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 1 [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 0 [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 0 [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => 0 [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => 0 [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => 1 [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 1 [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => 1 [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => 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] => 0 [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 0 [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 0 [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => 0 [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 1 [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => 0 [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => 0 [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => 0 [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => 0 [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => 1 [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => 1 [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => 1 [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => 2 [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => 2 [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 1 [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 1 [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => 1 [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => 1 [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => 2 [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => 2 [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] => 3 [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => 3 [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 2 [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] => 3 [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 4 [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 0 [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 0 [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 0 [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => 0 [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 1 [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 0 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 0 [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 0 [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => 0 [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => 1 [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 1 [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 1 [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => 2 [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 2 [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 0 [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 0 [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 0 [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 0 [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 1 [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 0 [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 0 [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => 0 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => 0 [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => 1 [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => 1 [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => 1 [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => 2 [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => 2 [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 1 [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 1 [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 1 [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => 1 [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => 2 [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => 2 [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => 2 [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] => 3 [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => 2 [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => 2 [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] => 4 [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 1 [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 1 [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 1 [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 1 [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 2 [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 1 [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 1 [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 1 [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => 1 [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => 2 [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 2 [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 2 [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] => 2 [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 2 [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 2 [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] => 3 [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => 4 [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => 4 [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] => 3 [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => 4 [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => 4 [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => 5 [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 2 [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 2 [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 2 [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] => 3 [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => 4 [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => 4 [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => 3 [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => 3 [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => 4 [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => 4 [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => 5 [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 4 [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => 4 [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => 5 [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => 5 [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => 6 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 6 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 0 [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => 0 [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => 0 [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => 0 [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => 1 [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 0 [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 0 [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 0 [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => 0 [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => 1 [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 1 [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 1 [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => 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] => 0 [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => 2 [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 2 [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => 0 [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => 0 [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 0 [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => 0 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 0 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 0 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 1 [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] => 2 [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => 2 [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => 1 [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => 3 [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => 1 [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => 1 [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => 1 [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => 1 [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 2 [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => 4 [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => 4 [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => 4 [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => 8 [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => 8 [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => 9 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 1 [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => 1 [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => 1 [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => 3 [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => 1 [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => 1 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => 1 [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => 2 [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 2 [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => 4 [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => 4 [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 2 [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => 2 [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => 4 [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => 3 [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => 3 [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => 4 [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => 4 [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => 5 [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => 5 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 6 [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => 6 [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => 4 [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => 6 [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0] => 7 [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => 4 [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] => 5 [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => 7 [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] => 8 [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0] => 7 [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => 8 [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] => 8 [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] => 9 [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => 9 [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => 10 [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 2 [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => 4 [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => 4 [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => 6 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 4 [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => 4 [1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0] => 6 [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => 7 [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0] => 8 [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] => 8 [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => 5 [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] => 8 [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => 9 [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => 7 [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => 7 [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] => 8 [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => 8 [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => 9 [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => 10 [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => 5 [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => 6 [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => 7 [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => 8 [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => 5 [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => 7 [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => 8 [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] => 9 [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => 6 [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => 8 [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0] => 8 [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => 10 [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => 10 [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => 8 [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => 8 [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] => 9 [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => 9 [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => 10 [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => 10 [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => 11 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => 6 [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => 7 [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => 7 [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => 8 [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => 9 [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => 8 [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] => 8 [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => 9 [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => 10 [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => 10 [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 8 [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => 8 [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => 9 [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => 10 [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => 10 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => 11 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 9 [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => 9 [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => 10 [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => 10 [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => 11 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => 11 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => 12 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 12 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 12 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 12 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] => 12 [1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => 12 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => 11 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0] => 11 [1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => 11 [1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => 11 [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0] => 11 [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0] => 10 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] => 9 [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 9 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 9 [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0] => 8 [1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 8 [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 9 [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0] => 8 [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0] => 8 [1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 8 [1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 8 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 0 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 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] => 2 [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => 1 [1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => 11 [1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => 12 [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 12 [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] => 2 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => 6 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 7 [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 13 [1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => 14 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0] => 11 [1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0] => 13 [1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => 14 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0] => 11 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0] => 12 [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => 15 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => 12 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => 13 [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => 15 [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => 15 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 16 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 0 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 0 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 1 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 0 [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 6 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 0 [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 6 [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 1 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => 6 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => 6 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 0 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 0 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 6 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 0 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 0 [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 1 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 0 [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 0 [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 0 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 0 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => 6 [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => 5 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 1 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 1 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => 0 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 0 [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 6 [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0] => 6 [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => 5 [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => 5 [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 5 [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 5 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => 16 [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 16 [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0] => 15 [1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => 15 [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0] => 15 [1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => 15 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] => 12 [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 12 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 12 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0] => 12 [1,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => 12 [1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 12 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 0 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 0 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 0 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 1 [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 9 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => 9 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 0 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => 20 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 0 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 1 [1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => 19 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 0 [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 16 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => 16 [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0] => 15 [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => 20 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 8 [1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => 8 [1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => 8 [1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => 6 [1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => 8 [1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => 8 [1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => 6 [1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => 6 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => 6 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => 6 [1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => 8 [1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => 8 [1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => 6 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => 8 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => 8 [1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 4 [1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 4 [1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 4 [1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 4 [1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 4 [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => 4 [1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => 4 [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => 4 [1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 4 [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => 4 [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => 4 [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 4 [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => 4 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4 [1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => 8 [1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => 8 [1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => 6 [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => 8 [1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0] => 8 [1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => 6 [1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => 6 [1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => 6 [1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => 6 [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => 8 [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => 8 [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => 6 [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => 8 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 8 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => 7 [1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0] => 18 [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0] => 8 [1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 8 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => 20 [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => 20 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 0 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 0 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 0 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0 [1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0] => 24 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0] => 20 [1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0] => 24 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 9 [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] => 25 [1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 16 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0] => 16 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0] => 12 [1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 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] => 12 [1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0] => 12 [1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0] => 12 [1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0] => 12 [1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0] => 12 [1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0] => 10 [1,0,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0] => 10 [1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0] => 10 [1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => 10 [1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0] => 12 [1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0] => 12 [1,0,1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0] => 12 [1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0] => 12 [1,0,1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0] => 12 [1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => 10 [1,0,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => 10 [1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => 8 [1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => 10 [1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => 10 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => 8 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0] => 8 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => 8 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => 8 [1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0] => 10 [1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0] => 10 [1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => 8 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0] => 10 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => 10 [1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0] => 12 [1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0] => 12 [1,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => 12 [1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0] => 12 [1,0,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0] => 12 [1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => 10 [1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => 10 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0] => 10 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => 10 [1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0] => 12 [1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0] => 12 [1,0,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => 12 [1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => 12 [1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => 12 [1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => 8 [1,1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => 8 [1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => 6 [1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => 8 [1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => 8 [1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => 6 [1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => 6 [1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => 6 [1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => 6 [1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => 8 [1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => 8 [1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => 6 [1,1,0,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => 8 [1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => 8 [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 6 [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 6 [1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 6 [1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 6 [1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 6 [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 6 [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 6 [1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 6 [1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 6 [1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 6 [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0] => 6 [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0] => 6 [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => 6 [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => 6 [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => 6 [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => 6 [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => 6 [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 6 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => 6 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 6 [1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0] => 8 [1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0] => 8 [1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => 6 [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0] => 8 [1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => 8 [1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => 6 [1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => 6 [1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 6 [1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 6 [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0] => 8 [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => 8 [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => 6 [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => 8 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => 8 [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0] => 12 [1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0] => 12 [1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0] => 12 [1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0] => 12 [1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0] => 12 [1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => 10 [1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => 10 [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0] => 10 [1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => 10 [1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0] => 12 [1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0] => 12 [1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => 12 [1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0] => 12 [1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0] => 12 [1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => 10 [1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => 10 [1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => 8 [1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => 10 [1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0] => 10 [1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => 8 [1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => 8 [1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => 8 [1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => 8 [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0] => 10 [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => 10 [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => 8 [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => 10 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => 10 [1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0] => 12 [1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0] => 12 [1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => 12 [1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0] => 12 [1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0] => 12 [1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => 10 [1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => 10 [1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => 10 [1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => 10 [1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0] => 12 [1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0] => 12 [1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => 12 [1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0] => 12 [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 12 ----------------------------------------------------------------------------- Created: Nov 06, 2017 at 10:56 by Martin Rubey ----------------------------------------------------------------------------- Last Updated: Aug 21, 2020 at 13:41 by Martin Rubey