***************************************************************************** * 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: St000658 ----------------------------------------------------------------------------- Collection: Dyck paths ----------------------------------------------------------------------------- Description: The number of rises of length 2 of a Dyck path. This is also the number of $(1,1)$ steps of the associated Łukasiewicz path, see [1]. A related statistic is the number of double rises in a Dyck path, [[St000024]]. ----------------------------------------------------------------------------- References: [1] Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n having k ascents of length 2. [[OEIS:A102402]] ----------------------------------------------------------------------------- Code: def statistic(D): return sum( 1 for i in D.rise_composition() if i == 2 ) ----------------------------------------------------------------------------- Statistic values: [1,0,1,0] => 0 [1,1,0,0] => 1 [1,0,1,0,1,0] => 0 [1,0,1,1,0,0] => 1 [1,1,0,0,1,0] => 1 [1,1,0,1,0,0] => 1 [1,1,1,0,0,0] => 0 [1,0,1,0,1,0,1,0] => 0 [1,0,1,0,1,1,0,0] => 1 [1,0,1,1,0,0,1,0] => 1 [1,0,1,1,0,1,0,0] => 1 [1,0,1,1,1,0,0,0] => 0 [1,1,0,0,1,0,1,0] => 1 [1,1,0,0,1,1,0,0] => 2 [1,1,0,1,0,0,1,0] => 1 [1,1,0,1,0,1,0,0] => 1 [1,1,0,1,1,0,0,0] => 2 [1,1,1,0,0,0,1,0] => 0 [1,1,1,0,0,1,0,0] => 0 [1,1,1,0,1,0,0,0] => 0 [1,1,1,1,0,0,0,0] => 0 [1,0,1,0,1,0,1,0,1,0] => 0 [1,0,1,0,1,0,1,1,0,0] => 1 [1,0,1,0,1,1,0,0,1,0] => 1 [1,0,1,0,1,1,0,1,0,0] => 1 [1,0,1,0,1,1,1,0,0,0] => 0 [1,0,1,1,0,0,1,0,1,0] => 1 [1,0,1,1,0,0,1,1,0,0] => 2 [1,0,1,1,0,1,0,0,1,0] => 1 [1,0,1,1,0,1,0,1,0,0] => 1 [1,0,1,1,0,1,1,0,0,0] => 2 [1,0,1,1,1,0,0,0,1,0] => 0 [1,0,1,1,1,0,0,1,0,0] => 0 [1,0,1,1,1,0,1,0,0,0] => 0 [1,0,1,1,1,1,0,0,0,0] => 0 [1,1,0,0,1,0,1,0,1,0] => 1 [1,1,0,0,1,0,1,1,0,0] => 2 [1,1,0,0,1,1,0,0,1,0] => 2 [1,1,0,0,1,1,0,1,0,0] => 2 [1,1,0,0,1,1,1,0,0,0] => 1 [1,1,0,1,0,0,1,0,1,0] => 1 [1,1,0,1,0,0,1,1,0,0] => 2 [1,1,0,1,0,1,0,0,1,0] => 1 [1,1,0,1,0,1,0,1,0,0] => 1 [1,1,0,1,0,1,1,0,0,0] => 2 [1,1,0,1,1,0,0,0,1,0] => 2 [1,1,0,1,1,0,0,1,0,0] => 2 [1,1,0,1,1,0,1,0,0,0] => 2 [1,1,0,1,1,1,0,0,0,0] => 1 [1,1,1,0,0,0,1,0,1,0] => 0 [1,1,1,0,0,0,1,1,0,0] => 1 [1,1,1,0,0,1,0,0,1,0] => 0 [1,1,1,0,0,1,0,1,0,0] => 0 [1,1,1,0,0,1,1,0,0,0] => 1 [1,1,1,0,1,0,0,0,1,0] => 0 [1,1,1,0,1,0,0,1,0,0] => 0 [1,1,1,0,1,0,1,0,0,0] => 0 [1,1,1,0,1,1,0,0,0,0] => 1 [1,1,1,1,0,0,0,0,1,0] => 0 [1,1,1,1,0,0,0,1,0,0] => 0 [1,1,1,1,0,0,1,0,0,0] => 0 [1,1,1,1,0,1,0,0,0,0] => 0 [1,1,1,1,1,0,0,0,0,0] => 0 [1,0,1,0,1,0,1,0,1,0,1,0] => 0 [1,0,1,0,1,0,1,0,1,1,0,0] => 1 [1,0,1,0,1,0,1,1,0,0,1,0] => 1 [1,0,1,0,1,0,1,1,0,1,0,0] => 1 [1,0,1,0,1,0,1,1,1,0,0,0] => 0 [1,0,1,0,1,1,0,0,1,0,1,0] => 1 [1,0,1,0,1,1,0,0,1,1,0,0] => 2 [1,0,1,0,1,1,0,1,0,0,1,0] => 1 [1,0,1,0,1,1,0,1,0,1,0,0] => 1 [1,0,1,0,1,1,0,1,1,0,0,0] => 2 [1,0,1,0,1,1,1,0,0,0,1,0] => 0 [1,0,1,0,1,1,1,0,0,1,0,0] => 0 [1,0,1,0,1,1,1,0,1,0,0,0] => 0 [1,0,1,0,1,1,1,1,0,0,0,0] => 0 [1,0,1,1,0,0,1,0,1,0,1,0] => 1 [1,0,1,1,0,0,1,0,1,1,0,0] => 2 [1,0,1,1,0,0,1,1,0,0,1,0] => 2 [1,0,1,1,0,0,1,1,0,1,0,0] => 2 [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] => 1 [1,0,1,1,0,1,0,0,1,1,0,0] => 2 [1,0,1,1,0,1,0,1,0,0,1,0] => 1 [1,0,1,1,0,1,0,1,0,1,0,0] => 1 [1,0,1,1,0,1,0,1,1,0,0,0] => 2 [1,0,1,1,0,1,1,0,0,0,1,0] => 2 [1,0,1,1,0,1,1,0,0,1,0,0] => 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] => 1 [1,0,1,1,1,0,0,0,1,0,1,0] => 0 [1,0,1,1,1,0,0,0,1,1,0,0] => 1 [1,0,1,1,1,0,0,1,0,0,1,0] => 0 [1,0,1,1,1,0,0,1,0,1,0,0] => 0 [1,0,1,1,1,0,0,1,1,0,0,0] => 1 [1,0,1,1,1,0,1,0,0,0,1,0] => 0 [1,0,1,1,1,0,1,0,0,1,0,0] => 0 [1,0,1,1,1,0,1,0,1,0,0,0] => 0 [1,0,1,1,1,0,1,1,0,0,0,0] => 1 [1,0,1,1,1,1,0,0,0,0,1,0] => 0 [1,0,1,1,1,1,0,0,0,1,0,0] => 0 [1,0,1,1,1,1,0,0,1,0,0,0] => 0 [1,0,1,1,1,1,0,1,0,0,0,0] => 0 [1,0,1,1,1,1,1,0,0,0,0,0] => 0 [1,1,0,0,1,0,1,0,1,0,1,0] => 1 [1,1,0,0,1,0,1,0,1,1,0,0] => 2 [1,1,0,0,1,0,1,1,0,0,1,0] => 2 [1,1,0,0,1,0,1,1,0,1,0,0] => 2 [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] => 2 [1,1,0,0,1,1,0,0,1,1,0,0] => 3 [1,1,0,0,1,1,0,1,0,0,1,0] => 2 [1,1,0,0,1,1,0,1,0,1,0,0] => 2 [1,1,0,0,1,1,0,1,1,0,0,0] => 3 [1,1,0,0,1,1,1,0,0,0,1,0] => 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] => 1 [1,1,0,0,1,1,1,1,0,0,0,0] => 1 [1,1,0,1,0,0,1,0,1,0,1,0] => 1 [1,1,0,1,0,0,1,0,1,1,0,0] => 2 [1,1,0,1,0,0,1,1,0,0,1,0] => 2 [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] => 1 [1,1,0,1,0,1,0,0,1,0,1,0] => 1 [1,1,0,1,0,1,0,0,1,1,0,0] => 2 [1,1,0,1,0,1,0,1,0,0,1,0] => 1 [1,1,0,1,0,1,0,1,0,1,0,0] => 1 [1,1,0,1,0,1,0,1,1,0,0,0] => 2 [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] => 2 [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] => 1 [1,1,0,1,1,0,0,0,1,0,1,0] => 2 [1,1,0,1,1,0,0,0,1,1,0,0] => 3 [1,1,0,1,1,0,0,1,0,0,1,0] => 2 [1,1,0,1,1,0,0,1,0,1,0,0] => 2 [1,1,0,1,1,0,0,1,1,0,0,0] => 3 [1,1,0,1,1,0,1,0,0,0,1,0] => 2 [1,1,0,1,1,0,1,0,0,1,0,0] => 2 [1,1,0,1,1,0,1,0,1,0,0,0] => 2 [1,1,0,1,1,0,1,1,0,0,0,0] => 3 [1,1,0,1,1,1,0,0,0,0,1,0] => 1 [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] => 0 [1,1,1,0,0,0,1,0,1,1,0,0] => 1 [1,1,1,0,0,0,1,1,0,0,1,0] => 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] => 0 [1,1,1,0,0,1,0,0,1,0,1,0] => 0 [1,1,1,0,0,1,0,0,1,1,0,0] => 1 [1,1,1,0,0,1,0,1,0,0,1,0] => 0 [1,1,1,0,0,1,0,1,0,1,0,0] => 0 [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] => 1 [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] => 0 [1,1,1,0,1,0,0,0,1,0,1,0] => 0 [1,1,1,0,1,0,0,0,1,1,0,0] => 1 [1,1,1,0,1,0,0,1,0,0,1,0] => 0 [1,1,1,0,1,0,0,1,0,1,0,0] => 0 [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] => 0 [1,1,1,0,1,0,1,0,0,1,0,0] => 0 [1,1,1,0,1,0,1,0,1,0,0,0] => 0 [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] => 1 [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] => 0 [1,1,1,1,0,0,0,0,1,0,1,0] => 0 [1,1,1,1,0,0,0,0,1,1,0,0] => 1 [1,1,1,1,0,0,0,1,0,0,1,0] => 0 [1,1,1,1,0,0,0,1,0,1,0,0] => 0 [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] => 0 [1,1,1,1,0,0,1,0,0,1,0,0] => 0 [1,1,1,1,0,0,1,0,1,0,0,0] => 0 [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] => 0 [1,1,1,1,0,1,0,0,0,1,0,0] => 0 [1,1,1,1,0,1,0,0,1,0,0,0] => 0 [1,1,1,1,0,1,0,1,0,0,0,0] => 0 [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] => 0 [1,1,1,1,1,0,0,0,0,1,0,0] => 0 [1,1,1,1,1,0,0,0,1,0,0,0] => 0 [1,1,1,1,1,0,0,1,0,0,0,0] => 0 [1,1,1,1,1,0,1,0,0,0,0,0] => 0 [1,1,1,1,1,1,0,0,0,0,0,0] => 0 [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0 [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 1 [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 1 [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 1 [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 0 [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 1 [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 2 [1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 1 [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 1 [1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 2 [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 0 [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 0 [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 0 [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 0 [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 1 [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 2 [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 2 [1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 2 [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] => 1 [1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 2 [1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 1 [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 1 [1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 2 [1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 2 [1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 2 [1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 2 [1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 1 [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 0 [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] => 0 [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 0 [1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 1 [1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 0 [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 0 [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 0 [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 1 [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 0 [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 0 [1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 0 [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 0 [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 0 [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 1 [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 2 [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 2 [1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 2 [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] => 2 [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3 [1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 2 [1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 2 [1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 3 [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] => 1 [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 1 [1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 1 [1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 2 [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 2 [1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 2 [1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 1 [1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 1 [1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 2 [1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 1 [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 1 [1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 2 [1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 2 [1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 2 [1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 2 [1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 1 [1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 2 [1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 3 [1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 2 [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] => 3 [1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 2 [1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 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] => 3 [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 1 [1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 1 [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 1 [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 1 [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 1 [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 0 [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] => 0 [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 0 [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] => 0 [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 0 [1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 1 [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 1 [1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 1 [1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 1 [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 0 [1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 0 [1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 1 [1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 0 [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 0 [1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 1 [1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 0 [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 0 [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 0 [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 1 [1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 1 [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 1 [1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 1 [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 1 [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 0 [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 0 [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 1 [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 0 [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 0 [1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 1 [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 0 [1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 0 [1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 0 [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 1 [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 0 [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 0 [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 0 [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 0 [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 1 [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 0 [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 0 [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 0 [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 0 [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 0 [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 0 [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1 [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2 [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2 [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2 [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] => 2 [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 3 [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 2 [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 2 [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 3 [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] => 1 [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 1 [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2 [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 3 [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 3 [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 3 [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 2 [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 2 [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 3 [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 2 [1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 2 [1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 3 [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 3 [1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 3 [1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 3 [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 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] => 2 [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] => 1 [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 1 [1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 1 [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] => 1 [1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 1 [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 1 [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 1 [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1 [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 1 [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2 [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2 [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 2 [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 1 [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2 [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 3 [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 2 [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 2 [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 3 [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] => 1 [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 1 [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 1 [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2 [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2 [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 2 [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 1 [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 1 [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 2 [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 1 [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 1 [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 2 [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 2 [1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 2 [1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 2 [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 1 [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 2 [1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 3 [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] => 2 [1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 3 [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] => 2 [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] => 1 [1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 1 [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 1 [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 1 [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 1 [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 2 [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] => 3 [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] => 2 [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 3 [1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 2 [1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 2 [1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 3 [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 3 [1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 3 [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] => 2 [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] => 3 [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] => 2 [1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 2 [1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 2 [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 3 [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] => 3 [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 3 [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 2 [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 1 [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2 [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 1 [1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 1 [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 2 [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 1 [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 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] => 2 [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 1 [1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 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] => 2 [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 1 [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 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] => 0 [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] => 0 [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] => 2 [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 1 [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 1 [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 2 [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 0 [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 0 [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 0 [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 0 [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 0 [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] => 0 [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 0 [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] => 0 [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 0 [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 1 [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 1 [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 1 [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 1 [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 0 [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 1 [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] => 1 [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 1 [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 2 [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 1 [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] => 2 [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 0 [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 0 [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 0 [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 0 [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 0 [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 0 [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 1 [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 1 [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 1 [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 0 [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 0 [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 1 [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 0 [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 0 [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 1 [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 1 [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 1 [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 1 [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 0 [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 0 [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 1 [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 0 [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 0 [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] => 0 [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 0 [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 0 [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] => 1 [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] => 0 [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 1 [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] => 1 [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 1 [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 2 [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 1 [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] => 2 [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 1 [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] => 2 [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 0 [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 0 [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 0 [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 0 [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 0 [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 0 [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 0 [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 1 [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 1 [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 1 [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 0 [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 0 [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 1 [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 0 [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 0 [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] => 1 [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] => 0 [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 0 [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 1 [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 0 [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 0 [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] => 0 [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 0 [1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 0 [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] => 1 [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] => 0 [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 0 [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 1 [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 0 [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 0 [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] => 0 [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 0 [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 0 [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] => 0 [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 0 [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 0 [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 0 [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 1 [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 1 [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 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] => 0 [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 0 [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 1 [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 0 [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 0 [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] => 0 [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 0 [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 0 [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] => 0 [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 0 [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 0 [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 0 [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] => 0 [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 0 [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 0 [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 0 [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 0 [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] => 0 [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 0 [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 0 [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 0 [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 0 [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 0 [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 0 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 1 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 1 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 1 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 0 [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 1 [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 2 [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 1 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 1 [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 2 [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 0 [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 0 [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 0 [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 0 [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 1 [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 2 [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 2 [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 2 [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] => 1 [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 2 [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 1 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 1 [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 2 [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 2 [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 2 [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] => 1 [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 0 [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 1 [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 0 [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 0 [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 1 [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 0 [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 0 [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 0 [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 1 [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 0 [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 0 [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 0 [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 0 [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 0 [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 1 [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 2 [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 2 [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 2 [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] => 2 [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3 [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 2 [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 2 [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 3 [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] => 1 [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 1 [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 1 [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 2 [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 2 [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 2 [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] => 1 [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 2 [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 1 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 1 [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 2 [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 2 [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 2 [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] => 1 [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 2 [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 3 [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 2 [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 2 [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 3 [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 2 [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 2 [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 2 [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 3 [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 1 [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 1 [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 1 [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 1 [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 1 [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 0 [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 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] => 0 [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 0 [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] => 0 [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 0 [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 1 [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 1 [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 1 [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 1 [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 0 [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 0 [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 1 [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 0 [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 0 [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 1 [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 0 [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 0 [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 0 [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 1 [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 1 [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 1 [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 1 [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 1 [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 0 [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 0 [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 1 [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 0 [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 0 [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 1 [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 0 [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 0 [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 0 [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 1 [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 0 [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 0 [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 0 [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 0 [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 1 [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 0 [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 0 [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 0 [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 0 [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 0 [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 0 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1 [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2 [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2 [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2 [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] => 2 [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 3 [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 2 [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 2 [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 3 [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 1 [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 1 [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 1 [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 1 [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2 [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 3 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 3 [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 3 [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 2 [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 2 [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 3 [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 2 [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 2 [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 3 [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 3 [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 3 [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 3 [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] => 2 [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] => 1 [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 1 [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 1 [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 2 [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 1 [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 1 [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 1 [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 1 [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1 [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 1 [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2 [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2 [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 2 [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] => 2 [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 3 [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 2 [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 2 [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 3 [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] => 1 [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 1 [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 1 [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2 [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2 [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 2 [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] => 1 [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 2 [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 1 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 1 [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 2 [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 2 [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 2 [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] => 1 [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 2 [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 3 [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 2 [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 2 [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 3 [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 2 [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 2 [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 2 [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 3 [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 1 [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 1 [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 1 [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 1 [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 1 [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 2 [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 3 [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 3 [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 3 [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2 [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 2 [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 3 [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 2 [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 2 [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 3 [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 3 [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 3 [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 3 [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 2 [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 2 [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 3 [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 2 [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 2 [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 3 [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 2 [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 2 [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 2 [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 3 [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 3 [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 3 [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 3 [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 3 [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 2 [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 1 [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] => 1 [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 1 [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 2 [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 1 [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 1 [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 1 [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 2 [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 1 [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 1 [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 1 [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 1 [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 2 [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 1 [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 1 [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 1 [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 1 [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 1 [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1 [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 0 [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 1 [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 1 [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 1 [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 0 [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 1 [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 2 [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] => 0 [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 0 [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 0 [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 0 [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 0 [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 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] => 0 [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 0 [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] => 0 [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 0 [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 1 [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 1 [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 1 [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 1 [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 0 [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 1 [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] => 1 [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 1 [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 2 [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 1 [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 1 [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 1 [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 2 [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 0 [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 0 [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 0 [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 0 [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 0 [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 0 [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 1 [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 1 [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 1 [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 0 [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 0 [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 1 [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 0 [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 0 [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 1 [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 1 [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 1 [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 1 [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 0 [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 0 [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 1 [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 0 [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 0 [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 1 [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 0 [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 0 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 0 [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 1 [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 1 [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 1 [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 1 [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 1 [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 0 [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 1 [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2 [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 1 [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 1 [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 2 [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 1 [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 1 [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 1 [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 2 [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 1 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 1 [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 1 [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 1 [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 2 [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 0 [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 0 [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 0 [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 0 [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 0 [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 0 [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 0 [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 1 [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 1 [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 1 [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 0 [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 0 [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 1 [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 0 [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 0 [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 1 [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 1 [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 1 [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 1 [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 0 [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 0 [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 1 [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 0 [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 0 [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 1 [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 0 [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 0 [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 0 [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 1 [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 1 [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 1 [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 1 [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 1 [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 0 [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 0 [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 1 [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 0 [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 0 [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 1 [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 0 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 0 [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 0 [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 1 [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 0 [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 0 [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 0 [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 0 [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 1 [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 1 [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 1 [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 1 [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 1 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 1 [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 0 [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 0 [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 1 [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 0 [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 0 [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 1 [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 0 [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 0 [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 0 [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 1 [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 0 [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 0 [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 0 [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 0 [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 1 [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 0 [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 0 [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 0 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 0 [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 0 [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 1 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 0 [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 0 [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 0 [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 0 [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 0 [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 0 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 0 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 2 [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 2 [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 2 [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] => 2 [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 3 [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => 2 [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => 2 [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => 3 [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 1 [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => 1 [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => 1 [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 1 [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 2 [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 3 [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 3 [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => 3 [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 2 [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => 2 [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => 3 [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => 2 [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => 2 [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => 3 [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => 3 [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => 3 [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => 3 [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => 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] => 2 [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] => 1 [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => 1 [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => 1 [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => 2 [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 1 [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => 1 [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => 1 [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => 1 [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 1 [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 2 [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 3 [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 3 [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => 3 [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 2 [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 4 [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3 [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => 3 [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => 4 [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 2 [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 2 [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] => 2 [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 3 [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3 [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 3 [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 2 [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 2 [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 3 [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => 2 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => 2 [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => 3 [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => 3 [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => 3 [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => 3 [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => 2 [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 3 [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 4 [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 3 [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => 3 [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => 4 [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => 3 [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => 3 [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => 3 [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => 4 [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] => 2 [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => 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] => 1 [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 2 [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 2 [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 2 [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 1 [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] => 2 [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] => 2 [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => 1 [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 1 [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] => 1 [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => 1 [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => 2 [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => 1 [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => 1 [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => 1 [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => 2 [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => 2 [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => 2 [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => 2 [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => 2 [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => 1 [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 1 [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] => 1 [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => 1 [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => 2 [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 1 [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 1 [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => 1 [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => 2 [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => 1 [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => 1 [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => 1 [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => 1 [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] => 1 [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => 1 [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => 1 [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => 1 [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => 1 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1 [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2 [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2 [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2 [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => 1 [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2 [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 3 [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 2 [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => 2 [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => 3 [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 1 [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 1 [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => 1 [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => 1 [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2 ----------------------------------------------------------------------------- Created: Nov 30, 2016 at 20:04 by Christian Stump ----------------------------------------------------------------------------- Last Updated: Nov 30, 2016 at 20:35 by Martin Rubey