***************************************************************************** * 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: St000476 ----------------------------------------------------------------------------- Collection: Dyck paths ----------------------------------------------------------------------------- Description: The sum of the semi-lengths of tunnels before a valley of a Dyck path. For each valley $v$ in a Dyck path $D$ there is a corresponding tunnel, which is the factor $T_v = s_i\dots s_j$ of $D$ where $s_i$ is the step after the first intersection of $D$ with the line $y = ht(v)$ to the left of $s_j$. This statistic is $$ \sum_v (j_v-i_v)/2. $$ ----------------------------------------------------------------------------- References: [1] Cheng, S.-E., Elizalde, S., Kasraoui, A., Sagan, B. Inversion polynomials for 321-avoiding permutations [[arXiv:1112.6014]] ----------------------------------------------------------------------------- Code: def statistic(D): V = D.valleys() V_tunnels = [t for t in D.tunnels() if t[1]-1 in V] return sum(j-i for (i,j) in V_tunnels)/2 ----------------------------------------------------------------------------- Statistic values: [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] => 2 [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] => 3 [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] => 3 [1,1,0,0,1,1,0,0] => 2 [1,1,0,1,0,0,1,0] => 4 [1,1,0,1,0,1,0,0] => 2 [1,1,0,1,1,0,0,0] => 1 [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] => 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] => 4 [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] => 4 [1,0,1,1,0,0,1,1,0,0] => 3 [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] => 4 [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] => 4 [1,1,0,0,1,0,1,1,0,0] => 3 [1,1,0,0,1,1,0,0,1,0] => 4 [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] => 5 [1,1,0,1,0,0,1,1,0,0] => 4 [1,1,0,1,0,1,0,0,1,0] => 6 [1,1,0,1,0,1,0,1,0,0] => 3 [1,1,0,1,0,1,1,0,0,0] => 2 [1,1,0,1,1,0,0,0,1,0] => 5 [1,1,0,1,1,0,0,1,0,0] => 3 [1,1,0,1,1,0,1,0,0,0] => 2 [1,1,0,1,1,1,0,0,0,0] => 1 [1,1,1,0,0,0,1,0,1,0] => 4 [1,1,1,0,0,0,1,1,0,0] => 3 [1,1,1,0,0,1,0,0,1,0] => 6 [1,1,1,0,0,1,0,1,0,0] => 3 [1,1,1,0,0,1,1,0,0,0] => 2 [1,1,1,0,1,0,0,0,1,0] => 5 [1,1,1,0,1,0,0,1,0,0] => 4 [1,1,1,0,1,0,1,0,0,0] => 2 [1,1,1,0,1,1,0,0,0,0] => 1 [1,1,1,1,0,0,0,0,1,0] => 4 [1,1,1,1,0,0,0,1,0,0] => 3 [1,1,1,1,0,0,1,0,0,0] => 2 [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] => 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] => 3 [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] => 6 [1,0,1,0,1,1,0,1,0,1,0,0] => 4 [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] => 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] => 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] => 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] => 5 [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] => 6 [1,0,1,1,0,1,0,0,1,1,0,0] => 5 [1,0,1,1,0,1,0,1,0,0,1,0] => 7 [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] => 6 [1,0,1,1,0,1,1,0,0,1,0,0] => 4 [1,0,1,1,0,1,1,0,1,0,0,0] => 3 [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] => 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] => 7 [1,0,1,1,1,0,0,1,0,1,0,0] => 4 [1,0,1,1,1,0,0,1,1,0,0,0] => 3 [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] => 5 [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] => 5 [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] => 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] => 5 [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] => 5 [1,1,0,0,1,1,0,0,1,1,0,0] => 4 [1,1,0,0,1,1,0,1,0,0,1,0] => 6 [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] => 5 [1,1,0,0,1,1,1,0,0,1,0,0] => 4 [1,1,0,0,1,1,1,0,1,0,0,0] => 3 [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] => 6 [1,1,0,1,0,0,1,0,1,1,0,0] => 5 [1,1,0,1,0,0,1,1,0,0,1,0] => 6 [1,1,0,1,0,0,1,1,0,1,0,0] => 5 [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] => 7 [1,1,0,1,0,1,0,0,1,1,0,0] => 6 [1,1,0,1,0,1,0,1,0,0,1,0] => 8 [1,1,0,1,0,1,0,1,0,1,0,0] => 4 [1,1,0,1,0,1,0,1,1,0,0,0] => 3 [1,1,0,1,0,1,1,0,0,0,1,0] => 7 [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] => 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] => 6 [1,1,0,1,1,0,0,0,1,1,0,0] => 5 [1,1,0,1,1,0,0,1,0,0,1,0] => 8 [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] => 3 [1,1,0,1,1,0,1,0,0,0,1,0] => 7 [1,1,0,1,1,0,1,0,0,1,0,0] => 5 [1,1,0,1,1,0,1,0,1,0,0,0] => 3 [1,1,0,1,1,0,1,1,0,0,0,0] => 2 [1,1,0,1,1,1,0,0,0,0,1,0] => 6 [1,1,0,1,1,1,0,0,0,1,0,0] => 4 [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] => 1 [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] => 5 [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] => 3 [1,1,1,0,0,1,0,0,1,0,1,0] => 7 [1,1,1,0,0,1,0,0,1,1,0,0] => 6 [1,1,1,0,0,1,0,1,0,0,1,0] => 8 [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] => 3 [1,1,1,0,0,1,1,0,0,0,1,0] => 7 [1,1,1,0,0,1,1,0,0,1,0,0] => 4 [1,1,1,0,0,1,1,0,1,0,0,0] => 3 [1,1,1,0,0,1,1,1,0,0,0,0] => 2 [1,1,1,0,1,0,0,0,1,0,1,0] => 6 [1,1,1,0,1,0,0,0,1,1,0,0] => 5 [1,1,1,0,1,0,0,1,0,0,1,0] => 9 [1,1,1,0,1,0,0,1,0,1,0,0] => 5 [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] => 7 [1,1,1,0,1,0,1,0,0,1,0,0] => 6 [1,1,1,0,1,0,1,0,1,0,0,0] => 3 [1,1,1,0,1,0,1,1,0,0,0,0] => 2 [1,1,1,0,1,1,0,0,0,0,1,0] => 6 [1,1,1,0,1,1,0,0,0,1,0,0] => 5 [1,1,1,0,1,1,0,0,1,0,0,0] => 3 [1,1,1,0,1,1,0,1,0,0,0,0] => 2 [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] => 5 [1,1,1,1,0,0,0,0,1,1,0,0] => 4 [1,1,1,1,0,0,0,1,0,0,1,0] => 8 [1,1,1,1,0,0,0,1,0,1,0,0] => 4 [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] => 7 [1,1,1,1,0,0,1,0,0,1,0,0] => 6 [1,1,1,1,0,0,1,0,1,0,0,0] => 3 [1,1,1,1,0,0,1,1,0,0,0,0] => 2 [1,1,1,1,0,1,0,0,0,0,1,0] => 6 [1,1,1,1,0,1,0,0,0,1,0,0] => 5 [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] => 2 [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] => 5 [1,1,1,1,1,0,0,0,0,1,0,0] => 4 [1,1,1,1,1,0,0,0,1,0,0,0] => 3 [1,1,1,1,1,0,0,1,0,0,0,0] => 2 [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 [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 6 [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] => 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] => 4 [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] => 7 [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 5 [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] => 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] => 4 [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 3 [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] => 6 [1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 5 [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 4 [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] => 6 [1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 8 [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 5 [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] => 7 [1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 5 [1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 4 [1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 3 [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] => 8 [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 5 [1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 4 [1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 7 [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 6 [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 4 [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 3 [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 6 [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 5 [1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 4 [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] => 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] => 6 [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] => 6 [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 5 [1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 7 [1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 5 [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] => 6 [1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 5 [1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 4 [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 3 [1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 7 [1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 6 [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 7 [1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 6 [1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 5 [1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 8 [1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 7 [1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 9 [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] => 8 [1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 5 [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] => 7 [1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 6 [1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 9 [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] => 8 [1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 6 [1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 4 [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 3 [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 7 [1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 5 [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] => 2 [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] => 6 [1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 5 [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 4 [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 8 [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 7 [1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 9 [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 5 [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] => 8 [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] => 7 [1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 6 [1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 10 [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 6 [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] => 8 [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 7 [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] => 7 [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 6 [1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 4 [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 3 [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] => 6 [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 5 [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 9 [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 5 [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] => 8 [1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 7 [1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 4 [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 3 [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] => 6 [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 5 [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] => 6 [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] => 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] => 6 [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] => 6 [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] => 7 [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 5 [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] => 6 [1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 5 [1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 4 [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 3 [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 6 [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] => 6 [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 5 [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] => 7 [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 6 [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 8 [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] => 7 [1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 5 [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] => 6 [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 5 [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 8 [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] => 7 [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 6 [1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 4 [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] => 6 [1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 5 [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] => 2 [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 7 [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 6 [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 7 [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 6 [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] => 7 [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 6 [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 8 [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 6 [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 5 [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 7 [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 6 [1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 5 [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 4 [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 8 [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 7 [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 8 [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 7 [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 6 [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 9 [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 8 [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 10 [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 5 [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 4 [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 9 [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] => 4 [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] => 8 [1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 7 [1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 10 [1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 5 [1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 4 [1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 9 [1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 6 [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] => 8 [1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 5 [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 4 [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 3 [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 2 [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 7 [1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 6 [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 7 [1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 6 [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 5 [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 9 [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 8 [1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 10 [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] => 4 [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 9 [1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 5 [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] => 8 [1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 7 [1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 11 [1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 6 [1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 5 [1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 9 [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] => 4 [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 3 [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 8 [1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 6 [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] => 2 [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 7 [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 6 [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 10 [1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 5 [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 4 [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 9 [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 7 [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] => 8 [1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 6 [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] => 3 [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 2 [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 7 [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 5 [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] => 2 [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] => 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] => 6 [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] => 4 [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 6 [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 5 [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 7 [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 5 [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] => 6 [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 5 [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] => 8 [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 7 [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 8 [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 7 [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 6 [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 9 [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 8 [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 10 [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] => 4 [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 9 [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 5 [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] => 8 [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 7 [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 10 [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] => 4 [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 9 [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 6 [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 4 [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 3 [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 8 [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 5 [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] => 2 [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 7 [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 6 [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 7 [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 6 [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] => 10 [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 9 [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 11 [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 6 [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] => 10 [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 6 [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] => 8 [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 7 [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 12 [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 7 [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 6 [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 9 [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 8 [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 4 [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 3 [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 8 [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 7 [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 4 [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] => 2 [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 7 [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 6 [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 11 [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 6 [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 5 [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 9 [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 8 [1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 4 [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] => 8 [1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 7 [1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 5 [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 3 [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 2 [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 7 [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 6 [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 4 [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 3 [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 2 [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 1 [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 6 [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 5 [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 6 [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 5 [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] => 9 [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 8 [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 10 [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 5 [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] => 9 [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 5 [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] => 8 [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 7 [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 12 [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 7 [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 6 [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 9 [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 8 [1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 4 [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 3 [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 8 [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 7 [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] => 2 [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 7 [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 6 [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 11 [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 6 [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 5 [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 10 [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 9 [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 5 [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 4 [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 8 [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 7 [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 6 [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 3 [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 2 [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 7 [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 6 [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] => 3 [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 2 [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 1 [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 6 [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 5 [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 10 [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 5 [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] => 9 [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 8 [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 4 [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 3 [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 8 [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 7 [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 6 [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 3 [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 2 [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 7 [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 6 [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 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] => 2 [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] => 6 [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 5 [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] => 2 [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 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7 [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] => 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] => 5 [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] => 8 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 6 [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 5 [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] => 5 [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 4 [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] => 7 [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 6 [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 5 [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 8 [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 7 [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 9 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 6 [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] => 8 [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 6 [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 5 [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 4 [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] => 9 [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 6 [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 5 [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 8 [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 7 [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 5 [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 4 [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 7 [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 6 [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 5 [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 4 [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 3 [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] => 7 [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 6 [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 5 [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 7 [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] => 8 [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 6 [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] => 7 [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 6 [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 5 [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4 [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 8 [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 7 [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 8 [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 7 [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 6 [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 9 [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 8 [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 10 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 6 [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 5 [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 9 [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 6 [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] => 8 [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 7 [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 10 [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 6 [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] => 9 [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 7 [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 5 [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 4 [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 8 [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 6 [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] => 3 [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] => 7 [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 6 [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5 [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 9 [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 8 [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 10 [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 6 [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] => 9 [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 6 [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 5 [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 4 [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] => 7 [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 11 [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 7 [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] => 9 [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 8 [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 5 [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 4 [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 8 [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 7 [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 5 [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 4 [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 3 [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 7 [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] => 10 [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 6 [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] => 9 [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 8 [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 5 [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 4 [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 8 [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 7 [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 6 [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] => 3 [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 7 [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 6 [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 5 [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 4 [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 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 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] => 7 [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] => 7 [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 6 [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 8 [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 6 [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] => 7 [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 6 [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 5 [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 4 [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 7 [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 6 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 7 [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] => 8 [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 7 [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 9 [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 6 [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 5 [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 8 [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 6 [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] => 7 [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 6 [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 9 [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 6 [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] => 8 [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 7 [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 5 [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 4 [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 7 [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 6 [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] => 3 [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 8 [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 7 [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 8 [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 7 [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 6 [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 8 [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 7 [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 9 [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 7 [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 6 [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 8 [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 7 [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 6 [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 5 [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 9 [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 8 [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 9 [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 8 [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 7 [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 10 [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 9 [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 11 [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] => 10 [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 6 [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 5 [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 4 [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 9 [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 8 [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 11 [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 6 [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 5 [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 10 [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 7 [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] => 9 [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 6 [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 5 [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 4 [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 3 [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 8 [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 7 [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 8 [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 7 [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 6 [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 10 [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 9 [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 11 [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 6 [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 5 [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 10 [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 6 [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] => 9 [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 8 [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 12 [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 7 [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 6 [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 10 [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 8 [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 5 [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 4 [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 9 [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 7 [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] => 3 [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 8 [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 7 [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 11 [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] => 10 [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 8 [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] => 9 [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 7 [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 6 [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 4 [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 3 [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 8 [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 6 [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] => 3 [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 2 [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 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] => 7 [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 6 [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 5 [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 7 [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 6 [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 8 [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 6 [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] => 7 [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] => 9 [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 8 [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 9 [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 8 [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 7 [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 10 [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 9 [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 11 [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 6 [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 5 [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 10 [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] => 9 [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 8 [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 11 [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 6 [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] => 10 [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 7 [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 5 [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 4 [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 9 [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 6 [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] => 3 [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 8 [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 7 [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 8 [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 7 [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] => 11 [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 10 [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 12 [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 7 [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 6 [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 11 [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 7 [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] => 9 [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 8 [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 13 [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 8 [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 7 [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 10 [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 9 [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] => 9 [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 8 [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 5 [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 4 [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 3 [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 8 [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 7 [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 12 [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 7 [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 6 [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 10 [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 9 [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] => 9 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 8 [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 6 [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] => 3 [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 8 [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 7 [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 5 [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 4 [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 3 [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 2 [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 7 [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 6 [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 7 [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 6 [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] => 10 [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 9 [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 11 [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 6 [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 5 [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 10 [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 6 [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] => 9 [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 8 [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 13 [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 8 [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 7 [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 10 [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 9 [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 5 [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 4 [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 9 [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 8 [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] => 8 [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 7 [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 12 [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 7 [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 6 [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 11 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 10 [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 6 [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 5 [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 9 [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 8 [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 7 [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] => 8 [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 7 [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 6 [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 4 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 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] => 7 [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 6 [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 11 [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 6 [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] => 10 [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 9 [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 5 [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 4 [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 9 [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 8 [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 7 [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] => 3 [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] => 7 [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] => 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] => 7 [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] => 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] => 7 [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] => 7 [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] => 8 [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => 6 [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] => 7 [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => 6 [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => 5 [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 4 [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 7 [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 6 [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 7 [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] => 8 [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => 7 [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => 9 [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => 6 [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => 5 [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => 8 [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => 6 [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] => 7 [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 6 [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => 9 [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => 6 [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] => 8 [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => 7 [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => 5 [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => 4 [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 7 [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => 6 [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] => 3 [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 7 [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] => 7 [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => 6 [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] => 7 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 6 [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 8 [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] => 7 [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 6 [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] => 8 [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 7 [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 8 [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 7 [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 6 [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 9 [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] => 10 [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] => 9 [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => 6 [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => 5 [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] => 8 [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 7 [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 10 [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => 6 [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => 5 [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => 9 [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => 7 [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] => 8 [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => 6 [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => 5 [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => 4 [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => 3 [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 7 [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 6 [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 7 [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 6 [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] => 9 [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 8 [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 10 [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => 6 [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => 5 [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 9 [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 6 [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] => 8 [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 7 [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 11 [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => 7 [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => 6 [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => 9 [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => 8 [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => 5 [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] => 8 [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => 7 [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] => 3 [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 7 [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6 [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 10 [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] => 9 [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 8 [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] => 8 [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => 7 [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => 6 [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => 4 [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => 3 [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 7 [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => 6 [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] => 3 [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] => 8 [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => 7 [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => 8 [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => 7 [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] => 8 [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 7 [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 9 [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => 7 [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => 6 [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 8 [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 7 [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => 6 [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => 5 [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 8 ----------------------------------------------------------------------------- Created: May 02, 2016 at 06:41 by Martin Rubey ----------------------------------------------------------------------------- Last Updated: Jun 10, 2016 at 18:57 by Martin Rubey