***************************************************************************** * 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: St000676 ----------------------------------------------------------------------------- Collection: Dyck paths ----------------------------------------------------------------------------- Description: The number of odd rises of a Dyck path. This is the number of ones at an odd position, with the initial position equal to 1. The number of Dyck paths of semilength $n$ with $k$ up steps in odd positions and $k$ returns to the main diagonal are counted by the binomial coefficient $\binom{n-1}{k-1}$ [3,4]. ----------------------------------------------------------------------------- References: [1] Elizalde, S., Deutsch, E. A simple and unusual bijection for Dyck paths and its consequences [[MathSciNet:2028229]] [2] The number of evenly positioned ascents of the Dyck path, with the initial position equal to 1. [[St000329]] [3] Pascal's triangle read by rows: C(n,k) = binomial(n,k) = n!/(k!*(n-k)!), 0 <= k <= n. [[OEIS:A007318]] [4] Houston, R. Counting particular Dyck paths [[MathOverflow:285079]] ----------------------------------------------------------------------------- Code: def statistic(D): return D[::2].count(1) ----------------------------------------------------------------------------- Statistic values: [] => 0 [1,0] => 1 [1,0,1,0] => 2 [1,1,0,0] => 1 [1,0,1,0,1,0] => 3 [1,0,1,1,0,0] => 2 [1,1,0,0,1,0] => 2 [1,1,0,1,0,0] => 1 [1,1,1,0,0,0] => 2 [1,0,1,0,1,0,1,0] => 4 [1,0,1,0,1,1,0,0] => 3 [1,0,1,1,0,0,1,0] => 3 [1,0,1,1,0,1,0,0] => 2 [1,0,1,1,1,0,0,0] => 3 [1,1,0,0,1,0,1,0] => 3 [1,1,0,0,1,1,0,0] => 2 [1,1,0,1,0,0,1,0] => 2 [1,1,0,1,0,1,0,0] => 1 [1,1,0,1,1,0,0,0] => 2 [1,1,1,0,0,0,1,0] => 3 [1,1,1,0,0,1,0,0] => 2 [1,1,1,0,1,0,0,0] => 3 [1,1,1,1,0,0,0,0] => 2 [1,0,1,0,1,0,1,0,1,0] => 5 [1,0,1,0,1,0,1,1,0,0] => 4 [1,0,1,0,1,1,0,0,1,0] => 4 [1,0,1,0,1,1,0,1,0,0] => 3 [1,0,1,0,1,1,1,0,0,0] => 4 [1,0,1,1,0,0,1,0,1,0] => 4 [1,0,1,1,0,0,1,1,0,0] => 3 [1,0,1,1,0,1,0,0,1,0] => 3 [1,0,1,1,0,1,0,1,0,0] => 2 [1,0,1,1,0,1,1,0,0,0] => 3 [1,0,1,1,1,0,0,0,1,0] => 4 [1,0,1,1,1,0,0,1,0,0] => 3 [1,0,1,1,1,0,1,0,0,0] => 4 [1,0,1,1,1,1,0,0,0,0] => 3 [1,1,0,0,1,0,1,0,1,0] => 4 [1,1,0,0,1,0,1,1,0,0] => 3 [1,1,0,0,1,1,0,0,1,0] => 3 [1,1,0,0,1,1,0,1,0,0] => 2 [1,1,0,0,1,1,1,0,0,0] => 3 [1,1,0,1,0,0,1,0,1,0] => 3 [1,1,0,1,0,0,1,1,0,0] => 2 [1,1,0,1,0,1,0,0,1,0] => 2 [1,1,0,1,0,1,0,1,0,0] => 1 [1,1,0,1,0,1,1,0,0,0] => 2 [1,1,0,1,1,0,0,0,1,0] => 3 [1,1,0,1,1,0,0,1,0,0] => 2 [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] => 4 [1,1,1,0,0,0,1,1,0,0] => 3 [1,1,1,0,0,1,0,0,1,0] => 3 [1,1,1,0,0,1,0,1,0,0] => 2 [1,1,1,0,0,1,1,0,0,0] => 3 [1,1,1,0,1,0,0,0,1,0] => 4 [1,1,1,0,1,0,0,1,0,0] => 3 [1,1,1,0,1,0,1,0,0,0] => 4 [1,1,1,0,1,1,0,0,0,0] => 3 [1,1,1,1,0,0,0,0,1,0] => 3 [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] => 2 [1,1,1,1,1,0,0,0,0,0] => 3 [1,0,1,0,1,0,1,0,1,0,1,0] => 6 [1,0,1,0,1,0,1,0,1,1,0,0] => 5 [1,0,1,0,1,0,1,1,0,0,1,0] => 5 [1,0,1,0,1,0,1,1,0,1,0,0] => 4 [1,0,1,0,1,0,1,1,1,0,0,0] => 5 [1,0,1,0,1,1,0,0,1,0,1,0] => 5 [1,0,1,0,1,1,0,0,1,1,0,0] => 4 [1,0,1,0,1,1,0,1,0,0,1,0] => 4 [1,0,1,0,1,1,0,1,0,1,0,0] => 3 [1,0,1,0,1,1,0,1,1,0,0,0] => 4 [1,0,1,0,1,1,1,0,0,0,1,0] => 5 [1,0,1,0,1,1,1,0,0,1,0,0] => 4 [1,0,1,0,1,1,1,0,1,0,0,0] => 5 [1,0,1,0,1,1,1,1,0,0,0,0] => 4 [1,0,1,1,0,0,1,0,1,0,1,0] => 5 [1,0,1,1,0,0,1,0,1,1,0,0] => 4 [1,0,1,1,0,0,1,1,0,0,1,0] => 4 [1,0,1,1,0,0,1,1,0,1,0,0] => 3 [1,0,1,1,0,0,1,1,1,0,0,0] => 4 [1,0,1,1,0,1,0,0,1,0,1,0] => 4 [1,0,1,1,0,1,0,0,1,1,0,0] => 3 [1,0,1,1,0,1,0,1,0,0,1,0] => 3 [1,0,1,1,0,1,0,1,0,1,0,0] => 2 [1,0,1,1,0,1,0,1,1,0,0,0] => 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] => 3 [1,0,1,1,0,1,1,0,1,0,0,0] => 4 [1,0,1,1,0,1,1,1,0,0,0,0] => 3 [1,0,1,1,1,0,0,0,1,0,1,0] => 5 [1,0,1,1,1,0,0,0,1,1,0,0] => 4 [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] => 3 [1,0,1,1,1,0,0,1,1,0,0,0] => 4 [1,0,1,1,1,0,1,0,0,0,1,0] => 5 [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] => 5 [1,0,1,1,1,0,1,1,0,0,0,0] => 4 [1,0,1,1,1,1,0,0,0,0,1,0] => 4 [1,0,1,1,1,1,0,0,0,1,0,0] => 3 [1,0,1,1,1,1,0,0,1,0,0,0] => 4 [1,0,1,1,1,1,0,1,0,0,0,0] => 3 [1,0,1,1,1,1,1,0,0,0,0,0] => 4 [1,1,0,0,1,0,1,0,1,0,1,0] => 5 [1,1,0,0,1,0,1,0,1,1,0,0] => 4 [1,1,0,0,1,0,1,1,0,0,1,0] => 4 [1,1,0,0,1,0,1,1,0,1,0,0] => 3 [1,1,0,0,1,0,1,1,1,0,0,0] => 4 [1,1,0,0,1,1,0,0,1,0,1,0] => 4 [1,1,0,0,1,1,0,0,1,1,0,0] => 3 [1,1,0,0,1,1,0,1,0,0,1,0] => 3 [1,1,0,0,1,1,0,1,0,1,0,0] => 2 [1,1,0,0,1,1,0,1,1,0,0,0] => 3 [1,1,0,0,1,1,1,0,0,0,1,0] => 4 [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] => 4 [1,1,0,0,1,1,1,1,0,0,0,0] => 3 [1,1,0,1,0,0,1,0,1,0,1,0] => 4 [1,1,0,1,0,0,1,0,1,1,0,0] => 3 [1,1,0,1,0,0,1,1,0,0,1,0] => 3 [1,1,0,1,0,0,1,1,0,1,0,0] => 2 [1,1,0,1,0,0,1,1,1,0,0,0] => 3 [1,1,0,1,0,1,0,0,1,0,1,0] => 3 [1,1,0,1,0,1,0,0,1,1,0,0] => 2 [1,1,0,1,0,1,0,1,0,0,1,0] => 2 [1,1,0,1,0,1,0,1,0,1,0,0] => 1 [1,1,0,1,0,1,0,1,1,0,0,0] => 2 [1,1,0,1,0,1,1,0,0,0,1,0] => 3 [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] => 3 [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] => 4 [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] => 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] => 3 [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] => 3 [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] => 3 [1,1,0,1,1,1,0,0,0,1,0,0] => 2 [1,1,0,1,1,1,0,0,1,0,0,0] => 3 [1,1,0,1,1,1,0,1,0,0,0,0] => 2 [1,1,0,1,1,1,1,0,0,0,0,0] => 3 [1,1,1,0,0,0,1,0,1,0,1,0] => 5 [1,1,1,0,0,0,1,0,1,1,0,0] => 4 [1,1,1,0,0,0,1,1,0,0,1,0] => 4 [1,1,1,0,0,0,1,1,0,1,0,0] => 3 [1,1,1,0,0,0,1,1,1,0,0,0] => 4 [1,1,1,0,0,1,0,0,1,0,1,0] => 4 [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] => 2 [1,1,1,0,0,1,0,1,1,0,0,0] => 3 [1,1,1,0,0,1,1,0,0,0,1,0] => 4 [1,1,1,0,0,1,1,0,0,1,0,0] => 3 [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] => 5 [1,1,1,0,1,0,0,0,1,1,0,0] => 4 [1,1,1,0,1,0,0,1,0,0,1,0] => 4 [1,1,1,0,1,0,0,1,0,1,0,0] => 3 [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] => 5 [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] => 5 [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] => 4 [1,1,1,0,1,1,0,0,0,1,0,0] => 3 [1,1,1,0,1,1,0,0,1,0,0,0] => 4 [1,1,1,0,1,1,0,1,0,0,0,0] => 3 [1,1,1,0,1,1,1,0,0,0,0,0] => 4 [1,1,1,1,0,0,0,0,1,0,1,0] => 4 [1,1,1,1,0,0,0,0,1,1,0,0] => 3 [1,1,1,1,0,0,0,1,0,0,1,0] => 3 [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] => 4 [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] => 3 [1,1,1,1,0,1,0,0,0,0,1,0] => 3 [1,1,1,1,0,1,0,0,0,1,0,0] => 2 [1,1,1,1,0,1,0,0,1,0,0,0] => 3 [1,1,1,1,0,1,0,1,0,0,0,0] => 2 [1,1,1,1,0,1,1,0,0,0,0,0] => 3 [1,1,1,1,1,0,0,0,0,0,1,0] => 4 [1,1,1,1,1,0,0,0,0,1,0,0] => 3 [1,1,1,1,1,0,0,0,1,0,0,0] => 4 [1,1,1,1,1,0,0,1,0,0,0,0] => 3 [1,1,1,1,1,0,1,0,0,0,0,0] => 4 [1,1,1,1,1,1,0,0,0,0,0,0] => 3 [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7 [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 6 [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 6 [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 5 [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 6 [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 6 [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 5 [1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 5 [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 4 [1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 5 [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 6 [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 5 [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 6 [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 5 [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 6 [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 5 [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 5 [1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 4 [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 5 [1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 5 [1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 4 [1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 4 [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 3 [1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 4 [1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 5 [1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 4 [1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 5 [1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 4 [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 6 [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] => 4 [1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 5 [1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 6 [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 5 [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 6 [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 5 [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 5 [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 4 [1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 5 [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 4 [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 5 [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 6 [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 5 [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 5 [1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 4 [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 5 [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 5 [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 4 [1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 4 [1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 3 [1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 4 [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 5 [1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 4 [1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 5 [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4 [1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 5 [1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 4 [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 4 [1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 3 [1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 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 [1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 3 [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 2 [1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 3 [1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 4 [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] => 4 [1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 3 [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] => 4 [1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 4 [1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 3 [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] => 4 [1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 5 [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 4 [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] => 3 [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 4 [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 3 [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 4 [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 6 [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 5 [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 5 [1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 4 [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5 [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 5 [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 4 [1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 4 [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] => 4 [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 5 [1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 4 [1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 5 [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 4 [1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 6 [1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 5 [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] => 4 [1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 5 [1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 6 [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] => 6 [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 5 [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] => 4 [1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 5 [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 4 [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 5 [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 5 [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 4 [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] => 3 [1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 4 [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] => 4 [1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 5 [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 4 [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 4 [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 3 [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 4 [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 3 [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 4 [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 5 [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 4 [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 5 [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 4 [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 5 [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 4 [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 6 [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 5 [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 5 [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 4 [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 5 [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 5 [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 4 [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 4 [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 3 [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 4 [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 5 [1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 4 [1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 5 [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 4 [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 5 [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 4 [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 4 [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 3 [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 4 [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 4 [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 3 [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 3 [1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 2 [1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 3 [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 4 [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] => 4 [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] => 4 [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 4 [1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 3 [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] => 5 [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] => 5 [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 4 [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 4 [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] => 4 [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 3 [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4 [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 5 [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 4 [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 4 [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 3 [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 4 [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 4 [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 3 [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 3 [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 2 [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 3 [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 4 [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 3 [1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 4 [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 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 [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 3 [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 2 [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 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] => 2 [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 2 [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 1 [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 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] => 2 [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] => 2 [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 4 [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] => 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] => 3 [1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 4 [1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 3 [1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 4 [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] => 3 [1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 2 [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 3 [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 2 [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 3 [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 5 [1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 4 [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 4 [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] => 4 [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 4 [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] => 3 [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] => 4 [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] => 4 [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 3 [1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 5 [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] => 4 [1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 3 [1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 4 [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] => 4 [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] => 4 [1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 3 [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 4 [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 3 [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 4 [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 4 [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] => 3 [1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 2 [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 3 [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 4 [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 3 [1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 4 [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 3 [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 3 [1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 2 [1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 3 [1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 2 [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] => 4 [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 3 [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 4 [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 3 [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 4 [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 3 [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 6 [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 5 [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 5 [1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 4 [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 5 [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 5 [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 4 [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 4 [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] => 4 [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 5 [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 4 [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 5 [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 4 [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 5 [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 4 [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4 [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] => 4 [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 4 [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 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 [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 3 [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 4 [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] => 4 [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3 [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 5 [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] => 3 [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 4 [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 5 [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 4 [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] => 4 [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3 [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 4 [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 3 [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 4 [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 6 [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 5 [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 5 [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 4 [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 5 [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 5 [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 4 [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 4 [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] => 4 [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 5 [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 4 [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 5 [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 4 [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 6 [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 5 [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 5 [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 4 [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] => 6 [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] => 6 [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] => 5 [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 4 [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 5 [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 4 [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 5 [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 5 [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 4 [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 4 [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 3 [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 4 [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 5 [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 4 [1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 5 [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 4 [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] => 3 [1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 4 [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 3 [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] => 5 [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 4 [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 5 [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 4 [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 5 [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 4 [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 5 [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 4 [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 4 [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 3 [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 4 [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 4 [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] => 3 [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 2 [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 3 [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 4 [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 3 [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 4 [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 3 [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 5 [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 4 [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 4 [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] => 5 [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] => 4 [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 4 [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 3 [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 4 [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 3 [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] => 4 [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 3 [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 3 [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 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] => 4 [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 3 [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 4 [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 3 [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] => 2 [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 3 [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 2 [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 3 [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 4 [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 3 [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 4 [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 3 [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 4 [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 3 [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 5 [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 4 [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 4 [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 3 [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 4 [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 5 [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 4 [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 5 [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] => 4 [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] => 3 [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 4 [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 5 [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 4 [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 5 [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 4 [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 5 [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 4 [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 4 [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 3 [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 4 [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 3 [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 4 [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 3 [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 4 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 7 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 7 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 6 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 7 [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 7 [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 6 [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 6 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 5 [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 6 [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 7 [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 6 [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 7 [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 6 [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 7 [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 6 [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 6 [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 5 [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 6 [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] => 5 [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 5 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 4 [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 5 [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 6 [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 5 [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 6 [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 5 [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 7 [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 6 [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 6 [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 5 [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 6 [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 7 [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 6 [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 7 [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 6 [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 6 [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 5 [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 6 [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 5 [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 6 [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 7 [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 6 [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 6 [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 5 [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 6 [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 6 [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 5 [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 5 [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 4 [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 5 [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 6 [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 5 [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 6 [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 5 [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] => 5 [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 5 [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 4 [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 5 [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 5 [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 4 [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 4 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 3 [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 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] => 4 [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 5 [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 4 [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] => 5 [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 5 [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 4 [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 5 [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 6 [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 5 [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 6 [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 5 [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 5 [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 4 [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 5 [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 4 [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 5 [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 7 [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 6 [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 6 [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 5 [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 6 [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] => 5 [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 5 [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 4 [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 5 [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 6 [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 5 [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 6 [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 5 [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 7 [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] => 5 [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 6 [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 7 [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 6 [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 7 [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 6 [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 6 [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 5 [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 6 [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 5 [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 6 [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 6 [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 5 [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 5 [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] => 5 [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 6 [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 5 [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 6 [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 5 [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 5 [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 4 [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 5 [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 4 [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 5 [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 6 [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 5 [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 6 [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 5 [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 6 [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 5 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 7 [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 6 [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 6 [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 5 [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 6 [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 6 [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 5 [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 5 [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] => 5 [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 6 [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 5 [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 6 [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 5 [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] => 5 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 5 [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 4 [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] => 5 [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 4 [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 4 [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 3 [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 4 [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] => 4 [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 5 [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 4 [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 6 [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 5 [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] => 4 [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 5 [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 6 [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 5 [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 6 [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 5 [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 5 [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 4 [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 5 [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 4 [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 5 [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 6 [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 5 [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 5 [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 4 [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 5 [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 5 [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] => 4 [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 3 [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 4 [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 5 [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] => 5 [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 4 [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 5 [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 4 [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 4 [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 3 [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 4 [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 4 [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 3 [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 3 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 2 [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 3 [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 4 [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 3 [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 4 [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] => 5 [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 4 [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 4 [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 3 [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 4 [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 5 [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 4 [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 5 [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 4 [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] => 3 [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 4 [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 3 [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 4 [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 6 [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 5 [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] => 4 [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 5 [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 5 [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 4 [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 4 [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 3 [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 4 [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 5 [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 4 [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 5 [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 4 [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] => 5 [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 5 [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 4 [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] => 5 [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 6 [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 5 [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] => 4 [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 5 [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 4 [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 5 [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 5 [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] => 4 [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 3 [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 4 [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 5 [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] => 5 [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 4 [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 4 [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 3 [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 4 [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 3 [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 4 [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 5 [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 4 [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 5 [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 4 [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 5 [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 4 [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 7 [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 6 [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 6 [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 5 [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 6 [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 6 [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 5 [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 5 [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] => 5 [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 6 [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 5 [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 6 [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5 [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 6 [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 5 [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] => 4 [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 5 [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] => 4 [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 4 [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 3 [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 4 [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 5 [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 4 [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] => 6 [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 5 [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 5 [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 4 [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 5 [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] => 5 [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 6 [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 5 [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] => 4 [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 5 [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 4 [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 5 [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 7 [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 6 [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 6 [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 5 [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 6 [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 6 [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 5 [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 5 [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 4 [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 5 [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] => 5 [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 6 [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 5 [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 7 [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 6 [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] => 5 [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 6 [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 7 [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] => 7 [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 6 [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] => 5 [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 6 [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 5 [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 6 [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 6 [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 5 [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 5 [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] => 5 [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 6 [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 5 [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 6 [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 5 [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 5 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 4 [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 5 [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 4 [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 5 [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 6 [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 5 [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 6 [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 5 [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 6 [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 5 [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 6 [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 5 [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 5 [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 4 [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 5 [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 5 [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 4 [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] => 3 [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 4 [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] => 4 [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 5 [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 4 [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 6 [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 5 [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] => 4 [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 5 [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] => 5 [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 6 [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 5 [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 5 [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 4 [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 5 [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 4 [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 5 [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 5 [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 4 [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 4 [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 3 [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 4 [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 5 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 4 [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 5 [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 4 [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 4 [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 3 [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 4 [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 3 [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 4 [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 5 [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 4 [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 5 [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 4 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 5 [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 4 [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 6 [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 5 [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 5 [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 4 [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 5 [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 6 [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 5 [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 6 [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 5 [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 5 [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 4 [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 5 [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 4 [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 5 [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 6 [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 5 [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 6 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 5 [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 6 [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 5 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 5 [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 4 [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] => 5 [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 4 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 5 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 6 [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 6 [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 5 [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 6 [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 6 [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 5 [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => 5 [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => 4 [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => 5 [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 6 [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => 5 [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => 6 [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 5 [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] => 5 [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 5 [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => 4 [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] => 5 [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => 4 [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => 4 [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => 3 [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => 4 [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => 5 [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] => 5 [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => 4 [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 6 [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] => 5 [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => 4 [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => 5 [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => 6 [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => 5 [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => 6 [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => 5 [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 5 [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => 4 [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => 5 [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => 4 [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 5 [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 6 [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 5 [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 5 [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] => 5 [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 5 [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] => 4 [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] => 5 [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 4 [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => 5 [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] => 5 [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 4 [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 4 [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] => 4 [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 4 [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] => 3 [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] => 4 [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] => 4 [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => 3 [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 5 [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] => 4 [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] => 5 [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => 4 [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => 5 [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] => 4 [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] => 4 [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => 3 [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => 4 [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 6 [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] => 5 [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 4 [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5 [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 5 [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 4 [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 4 [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => 3 [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => 4 [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 5 [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 4 [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => 5 [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => 4 [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] => 5 [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 5 [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => 4 [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] => 6 [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] => 6 [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => 5 [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => 5 [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] => 5 [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => 4 [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => 5 [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 5 [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 4 [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] => 3 [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => 4 [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 5 [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 4 [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => 5 [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] => 4 [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => 3 [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => 4 [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => 3 [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => 4 [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 5 [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => 4 [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => 5 [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => 4 [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => 5 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 4 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 6 [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => 5 [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => 5 [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => 4 [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => 5 [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 5 [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] => 3 [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] => 5 [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 4 [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => 5 ----------------------------------------------------------------------------- Created: Dec 27, 2016 at 00:06 by Martin Rubey ----------------------------------------------------------------------------- Last Updated: Nov 03, 2017 at 20:52 by Martin Rubey