***************************************************************************** * 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: St000306 ----------------------------------------------------------------------------- Collection: Dyck paths ----------------------------------------------------------------------------- Description: The bounce count of a Dyck path. For a Dyck path $D$ of length $2n$, this is the number of point $(i,i)$ for $1 \leq i < n$ that are touching points of the [[Mp00099|bounce path]] of $D$. ----------------------------------------------------------------------------- References: [1] Loehr, N. A. Permutation statistics and the $q$, $t$-Catalan sequence [[MathSciNet:2101036]] ----------------------------------------------------------------------------- Code: def statistic(D): return len(D.bounce_path().touch_points())-1 ----------------------------------------------------------------------------- Statistic values: [1,0] => 0 [1,0,1,0] => 1 [1,1,0,0] => 0 [1,0,1,0,1,0] => 2 [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] => 3 [1,0,1,0,1,1,0,0] => 2 [1,0,1,1,0,0,1,0] => 2 [1,0,1,1,0,1,0,0] => 2 [1,0,1,1,1,0,0,0] => 1 [1,1,0,0,1,0,1,0] => 2 [1,1,0,0,1,1,0,0] => 1 [1,1,0,1,0,0,1,0] => 2 [1,1,0,1,0,1,0,0] => 1 [1,1,0,1,1,0,0,0] => 1 [1,1,1,0,0,0,1,0] => 1 [1,1,1,0,0,1,0,0] => 1 [1,1,1,0,1,0,0,0] => 1 [1,1,1,1,0,0,0,0] => 0 [1,0,1,0,1,0,1,0,1,0] => 4 [1,0,1,0,1,0,1,1,0,0] => 3 [1,0,1,0,1,1,0,0,1,0] => 3 [1,0,1,0,1,1,0,1,0,0] => 3 [1,0,1,0,1,1,1,0,0,0] => 2 [1,0,1,1,0,0,1,0,1,0] => 3 [1,0,1,1,0,0,1,1,0,0] => 2 [1,0,1,1,0,1,0,0,1,0] => 3 [1,0,1,1,0,1,0,1,0,0] => 2 [1,0,1,1,0,1,1,0,0,0] => 2 [1,0,1,1,1,0,0,0,1,0] => 2 [1,0,1,1,1,0,0,1,0,0] => 2 [1,0,1,1,1,0,1,0,0,0] => 2 [1,0,1,1,1,1,0,0,0,0] => 1 [1,1,0,0,1,0,1,0,1,0] => 3 [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] => 3 [1,1,0,1,0,0,1,1,0,0] => 2 [1,1,0,1,0,1,0,0,1,0] => 2 [1,1,0,1,0,1,0,1,0,0] => 2 [1,1,0,1,0,1,1,0,0,0] => 1 [1,1,0,1,1,0,0,0,1,0] => 2 [1,1,0,1,1,0,0,1,0,0] => 2 [1,1,0,1,1,0,1,0,0,0] => 1 [1,1,0,1,1,1,0,0,0,0] => 1 [1,1,1,0,0,0,1,0,1,0] => 2 [1,1,1,0,0,0,1,1,0,0] => 1 [1,1,1,0,0,1,0,0,1,0] => 2 [1,1,1,0,0,1,0,1,0,0] => 1 [1,1,1,0,0,1,1,0,0,0] => 1 [1,1,1,0,1,0,0,0,1,0] => 2 [1,1,1,0,1,0,0,1,0,0] => 1 [1,1,1,0,1,0,1,0,0,0] => 1 [1,1,1,0,1,1,0,0,0,0] => 1 [1,1,1,1,0,0,0,0,1,0] => 1 [1,1,1,1,0,0,0,1,0,0] => 1 [1,1,1,1,0,0,1,0,0,0] => 1 [1,1,1,1,0,1,0,0,0,0] => 1 [1,1,1,1,1,0,0,0,0,0] => 0 [1,0,1,0,1,0,1,0,1,0,1,0] => 5 [1,0,1,0,1,0,1,0,1,1,0,0] => 4 [1,0,1,0,1,0,1,1,0,0,1,0] => 4 [1,0,1,0,1,0,1,1,0,1,0,0] => 4 [1,0,1,0,1,0,1,1,1,0,0,0] => 3 [1,0,1,0,1,1,0,0,1,0,1,0] => 4 [1,0,1,0,1,1,0,0,1,1,0,0] => 3 [1,0,1,0,1,1,0,1,0,0,1,0] => 4 [1,0,1,0,1,1,0,1,0,1,0,0] => 3 [1,0,1,0,1,1,0,1,1,0,0,0] => 3 [1,0,1,0,1,1,1,0,0,0,1,0] => 3 [1,0,1,0,1,1,1,0,0,1,0,0] => 3 [1,0,1,0,1,1,1,0,1,0,0,0] => 3 [1,0,1,0,1,1,1,1,0,0,0,0] => 2 [1,0,1,1,0,0,1,0,1,0,1,0] => 4 [1,0,1,1,0,0,1,0,1,1,0,0] => 3 [1,0,1,1,0,0,1,1,0,0,1,0] => 3 [1,0,1,1,0,0,1,1,0,1,0,0] => 3 [1,0,1,1,0,0,1,1,1,0,0,0] => 2 [1,0,1,1,0,1,0,0,1,0,1,0] => 4 [1,0,1,1,0,1,0,0,1,1,0,0] => 3 [1,0,1,1,0,1,0,1,0,0,1,0] => 3 [1,0,1,1,0,1,0,1,0,1,0,0] => 3 [1,0,1,1,0,1,0,1,1,0,0,0] => 2 [1,0,1,1,0,1,1,0,0,0,1,0] => 3 [1,0,1,1,0,1,1,0,0,1,0,0] => 3 [1,0,1,1,0,1,1,0,1,0,0,0] => 2 [1,0,1,1,0,1,1,1,0,0,0,0] => 2 [1,0,1,1,1,0,0,0,1,0,1,0] => 3 [1,0,1,1,1,0,0,0,1,1,0,0] => 2 [1,0,1,1,1,0,0,1,0,0,1,0] => 3 [1,0,1,1,1,0,0,1,0,1,0,0] => 2 [1,0,1,1,1,0,0,1,1,0,0,0] => 2 [1,0,1,1,1,0,1,0,0,0,1,0] => 3 [1,0,1,1,1,0,1,0,0,1,0,0] => 2 [1,0,1,1,1,0,1,0,1,0,0,0] => 2 [1,0,1,1,1,0,1,1,0,0,0,0] => 2 [1,0,1,1,1,1,0,0,0,0,1,0] => 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] => 2 [1,0,1,1,1,1,0,1,0,0,0,0] => 2 [1,0,1,1,1,1,1,0,0,0,0,0] => 1 [1,1,0,0,1,0,1,0,1,0,1,0] => 4 [1,1,0,0,1,0,1,0,1,1,0,0] => 3 [1,1,0,0,1,0,1,1,0,0,1,0] => 3 [1,1,0,0,1,0,1,1,0,1,0,0] => 3 [1,1,0,0,1,0,1,1,1,0,0,0] => 2 [1,1,0,0,1,1,0,0,1,0,1,0] => 3 [1,1,0,0,1,1,0,0,1,1,0,0] => 2 [1,1,0,0,1,1,0,1,0,0,1,0] => 3 [1,1,0,0,1,1,0,1,0,1,0,0] => 2 [1,1,0,0,1,1,0,1,1,0,0,0] => 2 [1,1,0,0,1,1,1,0,0,0,1,0] => 2 [1,1,0,0,1,1,1,0,0,1,0,0] => 2 [1,1,0,0,1,1,1,0,1,0,0,0] => 2 [1,1,0,0,1,1,1,1,0,0,0,0] => 1 [1,1,0,1,0,0,1,0,1,0,1,0] => 4 [1,1,0,1,0,0,1,0,1,1,0,0] => 3 [1,1,0,1,0,0,1,1,0,0,1,0] => 3 [1,1,0,1,0,0,1,1,0,1,0,0] => 3 [1,1,0,1,0,0,1,1,1,0,0,0] => 2 [1,1,0,1,0,1,0,0,1,0,1,0] => 3 [1,1,0,1,0,1,0,0,1,1,0,0] => 2 [1,1,0,1,0,1,0,1,0,0,1,0] => 3 [1,1,0,1,0,1,0,1,0,1,0,0] => 2 [1,1,0,1,0,1,0,1,1,0,0,0] => 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] => 3 [1,1,0,1,1,0,0,0,1,1,0,0] => 2 [1,1,0,1,1,0,0,1,0,0,1,0] => 3 [1,1,0,1,1,0,0,1,0,1,0,0] => 2 [1,1,0,1,1,0,0,1,1,0,0,0] => 2 [1,1,0,1,1,0,1,0,0,0,1,0] => 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] => 1 [1,1,0,1,1,1,0,0,0,0,1,0] => 2 [1,1,0,1,1,1,0,0,0,1,0,0] => 2 [1,1,0,1,1,1,0,0,1,0,0,0] => 2 [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] => 3 [1,1,1,0,0,0,1,0,1,1,0,0] => 2 [1,1,1,0,0,0,1,1,0,0,1,0] => 2 [1,1,1,0,0,0,1,1,0,1,0,0] => 2 [1,1,1,0,0,0,1,1,1,0,0,0] => 1 [1,1,1,0,0,1,0,0,1,0,1,0] => 3 [1,1,1,0,0,1,0,0,1,1,0,0] => 2 [1,1,1,0,0,1,0,1,0,0,1,0] => 2 [1,1,1,0,0,1,0,1,0,1,0,0] => 2 [1,1,1,0,0,1,0,1,1,0,0,0] => 1 [1,1,1,0,0,1,1,0,0,0,1,0] => 2 [1,1,1,0,0,1,1,0,0,1,0,0] => 2 [1,1,1,0,0,1,1,0,1,0,0,0] => 1 [1,1,1,0,0,1,1,1,0,0,0,0] => 1 [1,1,1,0,1,0,0,0,1,0,1,0] => 3 [1,1,1,0,1,0,0,0,1,1,0,0] => 2 [1,1,1,0,1,0,0,1,0,0,1,0] => 2 [1,1,1,0,1,0,0,1,0,1,0,0] => 2 [1,1,1,0,1,0,0,1,1,0,0,0] => 1 [1,1,1,0,1,0,1,0,0,0,1,0] => 2 [1,1,1,0,1,0,1,0,0,1,0,0] => 2 [1,1,1,0,1,0,1,0,1,0,0,0] => 1 [1,1,1,0,1,0,1,1,0,0,0,0] => 1 [1,1,1,0,1,1,0,0,0,0,1,0] => 2 [1,1,1,0,1,1,0,0,0,1,0,0] => 2 [1,1,1,0,1,1,0,0,1,0,0,0] => 1 [1,1,1,0,1,1,0,1,0,0,0,0] => 1 [1,1,1,0,1,1,1,0,0,0,0,0] => 1 [1,1,1,1,0,0,0,0,1,0,1,0] => 2 [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] => 2 [1,1,1,1,0,0,0,1,0,1,0,0] => 1 [1,1,1,1,0,0,0,1,1,0,0,0] => 1 [1,1,1,1,0,0,1,0,0,0,1,0] => 2 [1,1,1,1,0,0,1,0,0,1,0,0] => 1 [1,1,1,1,0,0,1,0,1,0,0,0] => 1 [1,1,1,1,0,0,1,1,0,0,0,0] => 1 [1,1,1,1,0,1,0,0,0,0,1,0] => 2 [1,1,1,1,0,1,0,0,0,1,0,0] => 1 [1,1,1,1,0,1,0,0,1,0,0,0] => 1 [1,1,1,1,0,1,0,1,0,0,0,0] => 1 [1,1,1,1,0,1,1,0,0,0,0,0] => 1 [1,1,1,1,1,0,0,0,0,0,1,0] => 1 [1,1,1,1,1,0,0,0,0,1,0,0] => 1 [1,1,1,1,1,0,0,0,1,0,0,0] => 1 [1,1,1,1,1,0,0,1,0,0,0,0] => 1 [1,1,1,1,1,0,1,0,0,0,0,0] => 1 [1,1,1,1,1,1,0,0,0,0,0,0] => 0 [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 5 [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 5 [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 5 [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 4 [1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 5 [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 4 [1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 4 [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 4 [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 4 [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 4 [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 4 [1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 4 [1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 5 [1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 4 [1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 4 [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 4 [1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 3 [1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 4 [1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 4 [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 4 [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 3 [1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 4 [1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 4 [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 3 [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 3 [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 3 [1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 3 [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 3 [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 2 [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 5 [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 4 [1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 4 [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 4 [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 3 [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] => 5 [1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 4 [1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 4 [1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 4 [1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 3 [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 3 [1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 3 [1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 4 [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 2 [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 3 [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 3 [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 2 [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 2 [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 4 [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] => 4 [1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 4 [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 2 [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 2 [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 3 [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] => 3 [1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 2 [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 3 [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 2 [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 3 [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 2 [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 2 [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 2 [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 2 [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 2 [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 2 [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 2 [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 2 [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1 [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 5 [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 4 [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 4 [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 4 [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 3 [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 4 [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] => 4 [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 3 [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 3 [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 3 [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] => 4 [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 3 [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 3 [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 3 [1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 3 [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] => 3 [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 2 [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 2 [1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 2 [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 2 [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 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] => 2 [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 2 [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1 [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 5 [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 4 [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 4 [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 3 [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 4 [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 3 [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 3 [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 4 [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 3 [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 3 [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 3 [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] => 3 [1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 3 [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] => 3 [1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 2 [1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 2 [1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 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] => 2 [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 2 [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 4 [1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 3 [1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 2 [1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 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] => 2 [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 2 [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 2 [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 3 [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2 [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2 [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 2 [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 2 [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 1 [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1 [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 4 [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 3 [1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 3 [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 2 [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1 [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 4 [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 3 [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 3 [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 3 [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 3 [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 2 [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 2 [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2 [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 2 [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 2 [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2 [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 4 [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 3 [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 2 [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 2 [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 2 [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 2 [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 3 [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 2 [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 2 [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 2 [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 2 [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 2 [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 2 [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 1 [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 2 [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 2 [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 1 [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 1 [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2 [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 2 [1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 2 [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 2 [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 2 [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 1 [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 1 [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 1 [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 2 [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 2 [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1 [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2 [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2 [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2 [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 2 [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 2 [1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 1 [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 2 [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 2 [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 2 [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 2 [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 2 [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 2 [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 2 [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 1 [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 2 [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 2 [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 1 [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 1 [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 1 [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 1 [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 1 [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 2 [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 1 [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 2 [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 1 [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 1 [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 2 [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 1 [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 1 [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 1 [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2 [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 1 [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 1 [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 1 [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 1 [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1 [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 1 [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 1 [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 1 [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 1 [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 0 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 6 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 6 [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 5 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 5 [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 5 [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 5 [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 4 [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 5 [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 5 [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 4 [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 4 [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 5 [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 4 [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 4 [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 4 [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 4 [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 4 [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 3 [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 3 [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 3 [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 2 [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 5 [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 5 [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 2 [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 5 [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 5 [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 3 [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 3 [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 4 [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 3 [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 5 [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 2 [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 3 [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 4 [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 4 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 3 [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 4 [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 4 [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 4 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 3 [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 2 [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 3 [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 2 [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 2 [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 2 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2 [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 2 [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 2 [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 2 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 1 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 6 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 5 [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 5 [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 5 [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 4 [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 5 [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => 4 [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => 4 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3 [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => 3 [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 2 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => 3 [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 4 [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 3 [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => 2 [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => 2 [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 2 [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => 2 [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => 2 [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 2 [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => 2 [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => 2 [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => 2 [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => 2 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1 [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => 5 [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => 5 [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => 3 [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 3 [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => 5 [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => 4 [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 4 [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => 3 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 4 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 3 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 3 [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => 3 [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => 3 [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] => 3 [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] => 4 [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => 3 [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => 5 [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => 3 [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3 [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => 3 [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => 3 [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => 2 [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => 2 [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => 1 [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => 1 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 5 [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => 4 [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => 4 [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => 2 [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => 4 [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => 3 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => 3 [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => 3 [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 3 [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => 3 [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => 2 [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 3 [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => 3 [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => 3 [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => 4 [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => 3 [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => 3 [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => 2 [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => 3 [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => 2 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 2 [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => 2 [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => 2 [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => 2 [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0] => 1 [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => 3 [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] => 2 [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => 2 [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] => 1 [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0] => 2 [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => 2 [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] => 2 [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] => 1 [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => 1 [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => 1 [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 2 [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => 2 [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => 1 [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => 2 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 3 [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => 2 [1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0] => 2 [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => 2 [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0] => 1 [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] => 1 [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => 2 [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] => 1 [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => 1 [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => 2 [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => 2 [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] => 2 [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => 1 [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => 1 [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => 1 [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => 2 [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => 2 [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => 1 [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => 1 [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => 2 [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => 2 [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => 1 [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] => 1 [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => 2 [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => 2 [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0] => 2 [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => 1 [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => 1 [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => 2 [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => 2 [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] => 1 [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => 1 [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => 1 [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => 1 [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => 1 [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => 2 [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => 1 [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => 1 [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => 1 [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => 2 [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] => 1 [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => 1 [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => 1 [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 2 [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => 1 [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => 1 [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => 1 [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 1 [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => 1 [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => 1 [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => 1 [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => 1 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 0 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 1 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] => 2 [1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => 2 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => 2 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0] => 2 [1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => 2 [1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => 2 [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0] => 2 [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0] => 2 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] => 1 [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 1 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 2 [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0] => 2 [1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 2 [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 2 [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0] => 2 [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0] => 2 [1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 2 [1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 2 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 4 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 3 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => 4 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => 3 [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => 4 [1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => 2 [1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => 1 [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 1 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 3 [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => 3 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => 3 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 2 [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 1 [1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0] => 2 [1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0] => 1 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0] => 1 [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => 1 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => 1 [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 0 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 7 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 7 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 6 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 6 [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 3 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 6 [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 2 [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 6 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => 3 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => 2 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 6 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 6 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 6 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 5 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 4 [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 6 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 6 [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 6 [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 6 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 6 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => 3 [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => 4 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 4 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 4 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => 4 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 4 [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 4 [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0] => 4 [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => 4 [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => 4 [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 4 [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 4 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => 1 [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0] => 2 [1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => 2 [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0] => 2 [1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => 2 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] => 1 [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 1 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 2 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0] => 2 [1,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => 2 [1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 2 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 8 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 8 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 4 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 4 [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 3 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => 3 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 7 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => 0 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 5 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 4 [1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => 1 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 7 [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => 1 [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0] => 1 [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => 1 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 3 [1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => 3 [1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => 3 [1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => 3 [1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => 3 [1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => 3 [1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => 3 [1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => 3 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => 3 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => 3 [1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => 3 [1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => 3 [1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => 3 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => 3 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => 3 [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] => 3 [1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => 3 [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => 3 [1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 3 [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] => 3 [1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => 3 [1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => 3 [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => 3 [1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0] => 3 [1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => 3 [1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => 3 [1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => 3 [1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => 3 [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => 3 [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => 3 [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => 3 [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => 3 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 3 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => 3 [1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0] => 1 [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0] => 4 [1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 4 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => 1 [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => 1 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 9 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 9 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 5 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9 [1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0] => 1 [1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0] => 1 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 3 [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] => 0 [1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0] => 1 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0] => 3 [1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 3 [1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => 3 [1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0] => 3 [1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0] => 3 [1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0] => 3 [1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0] => 3 [1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0] => 3 [1,0,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0] => 4 [1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0] => 3 [1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => 3 [1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0] => 4 [1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0] => 3 [1,0,1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0] => 4 [1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0] => 3 [1,0,1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0] => 3 [1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => 3 [1,0,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => 4 [1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => 3 [1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => 4 [1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => 3 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => 4 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0] => 4 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => 4 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => 4 [1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0] => 3 [1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0] => 4 [1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => 3 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0] => 4 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => 3 [1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0] => 3 [1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0] => 3 [1,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => 4 [1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0] => 3 [1,0,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0] => 4 [1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => 3 [1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => 3 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0] => 4 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => 3 [1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0] => 3 [1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0] => 3 [1,0,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => 3 [1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => 3 [1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => 3 [1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => 4 [1,1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => 4 [1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => 4 [1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => 4 [1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => 4 [1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => 4 [1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => 4 [1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => 4 [1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => 4 [1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => 4 [1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => 4 [1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => 4 [1,1,0,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => 4 [1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => 4 [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 4 [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 4 [1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 4 [1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 4 [1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 4 [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 4 [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 4 [1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 4 [1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 4 [1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 4 [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0] => 4 [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0] => 4 [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => 4 [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => 4 [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => 4 [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => 4 [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => 4 [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 4 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => 4 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 4 [1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0] => 4 [1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0] => 4 [1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => 4 [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0] => 4 [1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => 4 [1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => 4 [1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => 4 [1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 4 [1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 4 [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0] => 4 [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => 4 [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => 4 [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4 [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0] => 3 [1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0] => 3 [1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0] => 3 [1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0] => 3 [1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0] => 3 [1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => 3 [1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => 4 [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0] => 3 [1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => 3 [1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0] => 4 [1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0] => 3 [1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => 4 [1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0] => 3 [1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0] => 3 [1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => 3 [1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => 4 [1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => 3 [1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => 4 [1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0] => 3 [1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => 4 [1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => 4 [1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => 4 [1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => 4 [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0] => 3 [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => 4 [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => 3 [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => 4 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => 3 [1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0] => 3 [1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0] => 3 [1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => 4 [1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0] => 3 [1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0] => 4 [1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => 3 [1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => 3 [1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => 4 [1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => 3 [1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0] => 3 [1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0] => 3 [1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => 3 [1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0] => 3 [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 3 ----------------------------------------------------------------------------- Created: Dec 02, 2015 at 15:27 by Christian Stump ----------------------------------------------------------------------------- Last Updated: Jan 29, 2020 at 14:06 by Christian Stump