***************************************************************************** * 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: St001523 ----------------------------------------------------------------------------- Collection: Dyck paths ----------------------------------------------------------------------------- Description: The degree of symmetry of a Dyck path. Given a Dyck path $D=(d_1,\dots,d_{2n})$, with $d_i\in\{0,1\}$, this is the number of positions $1\leq i\leq n$ such that $d_i = 1-d_{2n+1-i}$ and the initial height of the $i$-th step $\sum_{j < i} d_i$ equals the final height of the $(2n+1-i)$-th step. ----------------------------------------------------------------------------- References: [1] Elizalde, S. The degree of symmetry of lattice paths [[arXiv:2002.12874]] ----------------------------------------------------------------------------- Code: def statistic(D): H1 = D.heights() H2 = D.reverse().heights() return sum(1 for i in range(D.semilength()) if H1[2*i] == H2[2*i] and H1[2*i+1] == H2[2*i+1]) ----------------------------------------------------------------------------- Statistic values: [1,0] => 1 [1,0,1,0] => 2 [1,1,0,0] => 2 [1,0,1,0,1,0] => 3 [1,0,1,1,0,0] => 1 [1,1,0,0,1,0] => 1 [1,1,0,1,0,0] => 3 [1,1,1,0,0,0] => 3 [1,0,1,0,1,0,1,0] => 4 [1,0,1,0,1,1,0,0] => 2 [1,0,1,1,0,0,1,0] => 4 [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] => 4 [1,1,0,1,0,0,1,0] => 2 [1,1,0,1,0,1,0,0] => 4 [1,1,0,1,1,0,0,0] => 2 [1,1,1,0,0,0,1,0] => 1 [1,1,1,0,0,1,0,0] => 2 [1,1,1,0,1,0,0,0] => 4 [1,1,1,1,0,0,0,0] => 4 [1,0,1,0,1,0,1,0,1,0] => 5 [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] => 1 [1,0,1,0,1,1,1,0,0,0] => 1 [1,0,1,1,0,0,1,0,1,0] => 3 [1,0,1,1,0,0,1,1,0,0] => 1 [1,0,1,1,0,1,0,0,1,0] => 5 [1,0,1,1,0,1,0,1,0,0] => 3 [1,0,1,1,0,1,1,0,0,0] => 2 [1,0,1,1,1,0,0,0,1,0] => 5 [1,0,1,1,1,0,0,1,0,0] => 3 [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] => 5 [1,1,0,0,1,1,0,0,1,0] => 1 [1,1,0,0,1,1,0,1,0,0] => 3 [1,1,0,0,1,1,1,0,0,0] => 2 [1,1,0,1,0,0,1,0,1,0] => 1 [1,1,0,1,0,0,1,1,0,0] => 3 [1,1,0,1,0,1,0,0,1,0] => 3 [1,1,0,1,0,1,0,1,0,0] => 5 [1,1,0,1,0,1,1,0,0,0] => 3 [1,1,0,1,1,0,0,0,1,0] => 3 [1,1,0,1,1,0,0,1,0,0] => 5 [1,1,0,1,1,0,1,0,0,0] => 3 [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] => 2 [1,1,1,0,0,1,0,0,1,0] => 2 [1,1,1,0,0,1,0,1,0,0] => 3 [1,1,1,0,0,1,1,0,0,0] => 5 [1,1,1,0,1,0,0,0,1,0] => 2 [1,1,1,0,1,0,0,1,0,0] => 3 [1,1,1,0,1,0,1,0,0,0] => 5 [1,1,1,0,1,1,0,0,0,0] => 3 [1,1,1,1,0,0,0,0,1,0] => 1 [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] => 5 [1,1,1,1,1,0,0,0,0,0] => 5 [1,0,1,0,1,0,1,0,1,0,1,0] => 6 [1,0,1,0,1,0,1,0,1,1,0,0] => 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] => 2 [1,0,1,0,1,0,1,1,1,0,0,0] => 2 [1,0,1,0,1,1,0,0,1,0,1,0] => 6 [1,0,1,0,1,1,0,0,1,1,0,0] => 4 [1,0,1,0,1,1,0,1,0,0,1,0] => 4 [1,0,1,0,1,1,0,1,0,1,0,0] => 2 [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] => 3 [1,0,1,0,1,1,1,0,0,1,0,0] => 1 [1,0,1,0,1,1,1,0,1,0,0,0] => 1 [1,0,1,0,1,1,1,1,0,0,0,0] => 1 [1,0,1,1,0,0,1,0,1,0,1,0] => 4 [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] => 6 [1,0,1,1,0,0,1,1,0,1,0,0] => 4 [1,0,1,1,0,0,1,1,1,0,0,0] => 3 [1,0,1,1,0,1,0,0,1,0,1,0] => 4 [1,0,1,1,0,1,0,0,1,1,0,0] => 2 [1,0,1,1,0,1,0,1,0,0,1,0] => 6 [1,0,1,1,0,1,0,1,0,1,0,0] => 4 [1,0,1,1,0,1,0,1,1,0,0,0] => 3 [1,0,1,1,0,1,1,0,0,0,1,0] => 4 [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] => 1 [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] => 3 [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] => 4 [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] => 1 [1,0,1,1,1,0,1,0,0,0,1,0] => 6 [1,0,1,1,1,0,1,0,0,1,0,0] => 4 [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] => 2 [1,0,1,1,1,1,0,0,0,0,1,0] => 6 [1,0,1,1,1,1,0,0,0,1,0,0] => 4 [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] => 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] => 6 [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] => 4 [1,1,0,0,1,0,1,1,1,0,0,0] => 3 [1,1,0,0,1,1,0,0,1,0,1,0] => 4 [1,1,0,0,1,1,0,0,1,1,0,0] => 6 [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] => 4 [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] => 3 [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] => 2 [1,1,0,1,0,0,1,0,1,1,0,0] => 4 [1,1,0,1,0,0,1,1,0,0,1,0] => 4 [1,1,0,1,0,0,1,1,0,1,0,0] => 6 [1,1,0,1,0,0,1,1,1,0,0,0] => 4 [1,1,0,1,0,1,0,0,1,0,1,0] => 2 [1,1,0,1,0,1,0,0,1,1,0,0] => 4 [1,1,0,1,0,1,0,1,0,0,1,0] => 4 [1,1,0,1,0,1,0,1,0,1,0,0] => 6 [1,1,0,1,0,1,0,1,1,0,0,0] => 4 [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] => 4 [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] => 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] => 4 [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] => 4 [1,1,0,1,1,0,1,0,0,1,0,0] => 6 [1,1,0,1,1,0,1,0,1,0,0,0] => 4 [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] => 4 [1,1,0,1,1,1,0,0,0,1,0,0] => 6 [1,1,0,1,1,1,0,0,1,0,0,0] => 4 [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] => 2 [1,1,1,0,0,0,1,0,1,0,1,0] => 2 [1,1,1,0,0,0,1,0,1,1,0,0] => 3 [1,1,1,0,0,0,1,1,0,0,1,0] => 3 [1,1,1,0,0,0,1,1,0,1,0,0] => 4 [1,1,1,0,0,0,1,1,1,0,0,0] => 6 [1,1,1,0,0,1,0,0,1,0,1,0] => 2 [1,1,1,0,0,1,0,0,1,1,0,0] => 3 [1,1,1,0,0,1,0,1,0,0,1,0] => 3 [1,1,1,0,0,1,0,1,0,1,0,0] => 4 [1,1,1,0,0,1,0,1,1,0,0,0] => 6 [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] => 2 [1,1,1,0,0,1,1,0,1,0,0,0] => 4 [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] => 1 [1,1,1,0,1,0,0,0,1,1,0,0] => 2 [1,1,1,0,1,0,0,1,0,0,1,0] => 1 [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] => 4 [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] => 4 [1,1,1,0,1,0,1,0,1,0,0,0] => 6 [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] => 4 [1,1,1,0,1,1,0,0,1,0,0,0] => 6 [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] => 3 [1,1,1,1,0,0,0,0,1,0,1,0] => 1 [1,1,1,1,0,0,0,0,1,1,0,0] => 2 [1,1,1,1,0,0,0,1,0,0,1,0] => 1 [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] => 2 [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] => 6 [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] => 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] => 6 [1,1,1,1,0,1,1,0,0,0,0,0] => 4 [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] => 2 [1,1,1,1,1,0,0,0,1,0,0,0] => 3 [1,1,1,1,1,0,0,1,0,0,0,0] => 4 [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] => 7 [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] => 3 [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 3 [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 5 [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 3 [1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 3 [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] => 1 [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 3 [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 1 [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 1 [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 1 [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 5 [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 3 [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 3 [1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 1 [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] => 7 [1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 5 [1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 5 [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 3 [1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 3 [1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 4 [1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 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] => 2 [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 7 [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 5 [1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 5 [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 3 [1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 3 [1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 4 [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 2 [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 2 [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 2 [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] => 1 [1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 1 [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 1 [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 1 [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 5 [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 3 [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 7 [1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 5 [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 4 [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3 [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 1 [1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 5 [1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 3 [1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 2 [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 4 [1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 2 [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] => 3 [1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 1 [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 5 [1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 3 [1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 2 [1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 5 [1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 3 [1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 7 [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 5 [1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 4 [1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 5 [1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 3 [1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 2 [1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 2 [1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 5 [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] => 7 [1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 5 [1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 4 [1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 5 [1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 3 [1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 2 [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 2 [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 4 [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] => 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] => 3 [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] => 4 [1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 2 [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 1 [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 4 [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 2 [1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 5 [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 3 [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] => 7 [1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 5 [1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 4 [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] => 4 [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] => 5 [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 3 [1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 2 [1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 7 [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 5 [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] => 3 [1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 5 [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] => 2 [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 1 [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 1 [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 3 [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] => 4 [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] => 1 [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 5 [1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 3 [1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 2 [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 1 [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 7 [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 5 [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] => 3 [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] => 7 [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 5 [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 4 [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 3 [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] => 7 [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 3 [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 5 [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 4 [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 3 [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 5 [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 1 [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] => 2 [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] => 3 [1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 2 [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 2 [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3 [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 5 [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 1 [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] => 5 [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 7 [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] => 5 [1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 4 [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 2 [1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 4 [1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 3 [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 3 [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 5 [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7 [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 3 [1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 5 [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 4 [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] => 4 [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] => 1 [1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 3 [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 2 [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 2 [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 2 [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 3 [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 5 [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 5 [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 7 [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 5 [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 1 [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 3 [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 3 [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 5 [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] => 2 [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 4 [1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 2 [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2 [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 1 [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 3 [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 3 [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 5 [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 3 [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 3 [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 5 [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 5 [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7 [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 5 [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] => 5 [1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 3 [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 3 [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 3 [1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 5 [1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 5 [1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 7 [1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 5 [1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 3 [1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 5 [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] => 4 [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 2 [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 2 [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 2 [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] => 3 [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 2 [1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 4 [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] => 4 [1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 3 [1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 5 [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] => 5 [1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 7 [1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 5 [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 4 [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] => 4 [1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 3 [1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 5 [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] => 5 [1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 7 [1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 5 [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] => 5 [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] => 2 [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 2 [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 1 [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 3 [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] => 4 [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] => 3 [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 5 [1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 3 [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] => 5 [1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 7 [1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 5 [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] => 3 [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 5 [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 7 [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] => 4 [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 3 [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 2 [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 3 [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 4 [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 4 [1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 5 [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7 [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] => 2 [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 3 [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 5 [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 1 [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] => 4 [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] => 2 [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2 [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 3 [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 5 [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 3 [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 4 [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 4 [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 5 [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 7 [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 2 [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3 [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 5 [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 4 [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 3 [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 4 [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 4 [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 5 [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 7 [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 2 [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 3 [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 5 [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] => 1 [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 2 [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 4 [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 3 [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3 [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 1 [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 2 [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 1 [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] => 4 [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 2 [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3 [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 2 [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 3 [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 5 [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 4 [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 5 [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 7 [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 5 [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 2 [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] => 2 [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] => 5 [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] => 5 [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 7 [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] => 2 [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 3 [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] => 3 [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 3 [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] => 2 [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] => 2 [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 3 [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] => 3 [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] => 5 [1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 7 [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] => 4 [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 4 [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] => 7 [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 5 [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 4 [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 3 [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 1 [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 2 [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 1 [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] => 3 [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 2 [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 3 [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 4 [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] => 4 [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 5 [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 7 [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 2 [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] => 2 [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] => 3 [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] => 7 [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] => 2 [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 3 [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] => 4 [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 1 [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 2 [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 1 [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 2 [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 3 [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 1 [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 2 [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 3 [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] => 3 [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] => 7 [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 5 [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 3 [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 4 [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 5 [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 7 [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 5 [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 4 [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 1 [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 2 [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 1 [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 2 [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 3 [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 1 [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 2 [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 3 [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 4 [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] => 3 [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 4 [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 5 [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] => 2 [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 3 [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 4 [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 5 [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 7 [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 5 [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] => 2 [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 3 [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 4 [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 5 [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 7 [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 7 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 6 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 6 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 4 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 4 [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 6 [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 4 [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 4 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 2 [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] => 4 [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 2 [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] => 8 [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 6 [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 6 [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 4 [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 4 [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 6 [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 4 [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 4 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 2 [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] => 4 [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] => 2 [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 5 [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 3 [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 3 [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] => 1 [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 3 [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 1 [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 1 [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 1 [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 3 [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 1 [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 1 [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 1 [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 1 [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 6 [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 4 [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 4 [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 2 [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 2 [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 8 [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 6 [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 6 [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 4 [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 4 [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 5 [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3 [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 3 [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 3 [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 6 [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 4 [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 4 [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 2 [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 2 [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 8 [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 6 [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 6 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 4 [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 4 [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 5 [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 3 [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 3 [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 3 [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 6 [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 4 [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 4 [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 2 [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] => 3 [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 1 [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 1 [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 1 [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 3 [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] => 5 [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 3 [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3 [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] => 1 [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 6 [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 4 [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 4 [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 2 [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] => 3 [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] => 1 [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 8 [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 6 [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 6 [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 4 [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 4 [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 5 [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] => 3 [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 3 [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 4 [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 2 [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 2 [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 2 [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 2 [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 8 [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6 [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 6 [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 4 [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 4 [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 5 [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] => 3 [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 3 [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 4 [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 2 [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 2 [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 2 [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 2 [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 3 [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 1 [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 1 [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 1 [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 1 [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 6 [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 4 [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 8 [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 6 [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 5 [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 4 [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2 [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 6 [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 4 [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] => 5 [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 3 [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 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] => 6 [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 4 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 8 [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 6 [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 5 [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 4 [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 2 [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 6 [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 4 [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] => 5 [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] => 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] => 3 [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] => 5 [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 3 [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 2 [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 4 [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 2 [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] => 1 [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 4 [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 2 [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] => 4 [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] => 6 [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 4 [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 3 [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 6 [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 4 [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 8 [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 6 [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 5 [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 6 [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 4 [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 3 [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 3 [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 4 [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] => 6 [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 4 [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 3 [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 6 [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 4 [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 8 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 6 [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 5 [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 6 [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 4 [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 3 [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 3 [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 4 [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 2 [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 6 [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 4 [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] => 4 [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] => 1 [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 1 [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 4 [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] => 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] => 3 [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] => 5 [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] => 4 [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 2 [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 6 [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 4 [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] => 4 [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] => 1 [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 1 [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 6 [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 4 [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 8 [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 6 [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 5 [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 6 [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 4 [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 3 [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] => 5 [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] => 2 [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 2 [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 2 [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 6 [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 4 [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 8 [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 6 [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 5 [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 6 [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 4 [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 3 [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 3 [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 5 [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 3 [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 2 [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 2 [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 2 [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 4 [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 2 [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] => 4 [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 2 [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 5 [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 3 [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 2 [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 5 [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 3 [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 6 [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 4 [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 3 [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 8 [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 6 [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 5 [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 4 [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 4 [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 2 [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 5 [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 3 [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2 [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 5 [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 3 [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 6 [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 4 [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 3 [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 8 [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 6 [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 5 [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 4 [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 3 [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 1 [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 4 [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 2 [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 1 [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 6 [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 4 [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 3 [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] => 5 [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3 [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 2 [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 1 [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1 [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 3 [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] => 4 [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] => 1 [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 3 [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] => 4 [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] => 1 [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 6 [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 4 [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 3 [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2 [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 5 [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] => 6 [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 4 [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3 [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 8 [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 6 [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] => 4 [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 6 [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] => 3 [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 2 [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 2 [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 5 [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] => 6 [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 4 [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 3 [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 8 [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 6 [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] => 4 [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 6 [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] => 3 [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 2 [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] => 5 [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 3 [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 2 [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 1 [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 1 [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 1 [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 3 [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] => 4 [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] => 1 [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 3 [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] => 4 [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 2 [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 1 [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 5 [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 3 [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 2 [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 1 [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 4 [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2 [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 5 [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] => 2 [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 6 [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] => 3 [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 2 [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 8 [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 6 [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] => 4 [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 3 [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 4 [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 2 [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 5 [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] => 2 [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 6 [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] => 3 [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 2 [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 8 [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 6 [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] => 4 [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 3 [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 6 [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 4 [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 3 [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 2 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 1 [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 1 [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] => 1 [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] => 2 [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] => 5 [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 3 [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 2 [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 1 [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 6 [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 4 [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 3 [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 2 [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 1 [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 8 [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] => 5 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 4 [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 3 [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] => 8 [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] => 5 [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 4 [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 3 [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] => 8 [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 4 [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 6 [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 5 [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 4 [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 6 [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] => 4 [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] => 2 [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => 4 [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => 3 [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 3 [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 6 [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 8 [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 4 [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => 6 [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 5 [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => 4 [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => 6 [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] => 4 [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] => 2 [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => 4 [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => 3 [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => 3 [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 3 [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 5 [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] => 3 [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] => 3 [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => 2 [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => 2 [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 1 [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => 3 [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => 2 [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => 2 [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 2 [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 4 [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 6 [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 2 [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => 4 [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 3 [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 6 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 8 [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 4 [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => 6 [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => 5 [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 3 [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 5 [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => 4 [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4 [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 4 [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 6 [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 2 [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 4 [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 3 [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 6 [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 8 [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => 4 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => 6 [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => 5 [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] => 5 [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => 4 [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => 4 [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 4 [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 6 [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 2 [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => 4 [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => 3 [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => 1 [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] => 2 [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => 2 [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => 1 [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => 3 [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] => 3 [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 5 [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] => 3 [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] => 4 [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 6 [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 2 [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => 4 [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => 3 [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 1 [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 3 [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] => 2 [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 6 [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 8 [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 4 [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => 6 [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => 5 [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] => 5 [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] => 2 [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => 4 [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => 3 [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => 3 [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => 3 [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 6 [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8 [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 4 [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => 6 [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => 5 [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] => 5 [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] => 2 [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => 4 [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => 3 [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => 3 [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => 3 [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 1 [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => 3 [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => 2 [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => 2 [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => 2 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 2 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 4 [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => 6 [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => 6 [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => 8 [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => 6 [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] => 4 [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 4 [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => 6 [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => 4 [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 3 [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 5 [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => 3 [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => 3 ----------------------------------------------------------------------------- Created: Mar 02, 2020 at 21:13 by Martin Rubey ----------------------------------------------------------------------------- Last Updated: Mar 05, 2020 at 14:11 by Martin Rubey