***************************************************************************** * 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: St000369 ----------------------------------------------------------------------------- Collection: Dyck paths ----------------------------------------------------------------------------- Description: The dinv deficit of a Dyck path. For a Dyck path $D$ of semilength $n$, this is defined as $$\binom{n}{2} - \operatorname{area}(D) - \operatorname{dinv}(D).$$ In other words, this is the number of boxes in the partition traced out by $D$ for which the leg-length minus the arm-length is not in $\{0,1\}$. See also [[St000376]] for the bounce deficit. ----------------------------------------------------------------------------- References: [1] Lee, K., Li, L., Loehr, N. A. A Combinatorial Approach to the Symmetry of $q,t$-Catalan Numbers [[arXiv:1602.01126]] ----------------------------------------------------------------------------- Code: def statistic(D): return binomial(len(D)/2,2)-D.area()-D.dinv() ----------------------------------------------------------------------------- Statistic values: [1,0,1,0] => 0 [1,1,0,0] => 0 [1,0,1,0,1,0] => 0 [1,0,1,1,0,0] => 1 [1,1,0,0,1,0] => 0 [1,1,0,1,0,0] => 0 [1,1,1,0,0,0] => 0 [1,0,1,0,1,0,1,0] => 0 [1,0,1,0,1,1,0,0] => 2 [1,0,1,1,0,0,1,0] => 1 [1,0,1,1,0,1,0,0] => 2 [1,0,1,1,1,0,0,0] => 2 [1,1,0,0,1,0,1,0] => 0 [1,1,0,0,1,1,0,0] => 1 [1,1,0,1,0,0,1,0] => 0 [1,1,0,1,0,1,0,0] => 0 [1,1,0,1,1,0,0,0] => 1 [1,1,1,0,0,0,1,0] => 1 [1,1,1,0,0,1,0,0] => 0 [1,1,1,0,1,0,0,0] => 0 [1,1,1,1,0,0,0,0] => 0 [1,0,1,0,1,0,1,0,1,0] => 0 [1,0,1,0,1,0,1,1,0,0] => 3 [1,0,1,0,1,1,0,0,1,0] => 2 [1,0,1,0,1,1,0,1,0,0] => 4 [1,0,1,0,1,1,1,0,0,0] => 4 [1,0,1,1,0,0,1,0,1,0] => 1 [1,0,1,1,0,0,1,1,0,0] => 3 [1,0,1,1,0,1,0,0,1,0] => 2 [1,0,1,1,0,1,0,1,0,0] => 3 [1,0,1,1,0,1,1,0,0,0] => 4 [1,0,1,1,1,0,0,0,1,0] => 3 [1,0,1,1,1,0,0,1,0,0] => 3 [1,0,1,1,1,0,1,0,0,0] => 3 [1,0,1,1,1,1,0,0,0,0] => 3 [1,1,0,0,1,0,1,0,1,0] => 0 [1,1,0,0,1,0,1,1,0,0] => 2 [1,1,0,0,1,1,0,0,1,0] => 1 [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] => 0 [1,1,0,1,0,0,1,1,0,0] => 1 [1,1,0,1,0,1,0,0,1,0] => 0 [1,1,0,1,0,1,0,1,0,0] => 0 [1,1,0,1,0,1,1,0,0,0] => 2 [1,1,0,1,1,0,0,0,1,0] => 2 [1,1,0,1,1,0,0,1,0,0] => 1 [1,1,0,1,1,0,1,0,0,0] => 2 [1,1,0,1,1,1,0,0,0,0] => 2 [1,1,1,0,0,0,1,0,1,0] => 2 [1,1,1,0,0,0,1,1,0,0] => 2 [1,1,1,0,0,1,0,0,1,0] => 1 [1,1,1,0,0,1,0,1,0,0] => 0 [1,1,1,0,0,1,1,0,0,0] => 1 [1,1,1,0,1,0,0,0,1,0] => 2 [1,1,1,0,1,0,0,1,0,0] => 0 [1,1,1,0,1,0,1,0,0,0] => 0 [1,1,1,0,1,1,0,0,0,0] => 1 [1,1,1,1,0,0,0,0,1,0] => 2 [1,1,1,1,0,0,0,1,0,0] => 1 [1,1,1,1,0,0,1,0,0,0] => 0 [1,1,1,1,0,1,0,0,0,0] => 0 [1,1,1,1,1,0,0,0,0,0] => 0 [1,0,1,0,1,0,1,0,1,0,1,0] => 0 [1,0,1,0,1,0,1,0,1,1,0,0] => 4 [1,0,1,0,1,0,1,1,0,0,1,0] => 3 [1,0,1,0,1,0,1,1,0,1,0,0] => 6 [1,0,1,0,1,0,1,1,1,0,0,0] => 6 [1,0,1,0,1,1,0,0,1,0,1,0] => 2 [1,0,1,0,1,1,0,0,1,1,0,0] => 5 [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] => 6 [1,0,1,0,1,1,0,1,1,0,0,0] => 7 [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] => 6 [1,0,1,0,1,1,1,0,1,0,0,0] => 6 [1,0,1,0,1,1,1,1,0,0,0,0] => 6 [1,0,1,1,0,0,1,0,1,0,1,0] => 1 [1,0,1,1,0,0,1,0,1,1,0,0] => 4 [1,0,1,1,0,0,1,1,0,0,1,0] => 3 [1,0,1,1,0,0,1,1,0,1,0,0] => 5 [1,0,1,1,0,0,1,1,1,0,0,0] => 6 [1,0,1,1,0,1,0,0,1,0,1,0] => 2 [1,0,1,1,0,1,0,0,1,1,0,0] => 4 [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] => 4 [1,0,1,1,0,1,0,1,1,0,0,0] => 6 [1,0,1,1,0,1,1,0,0,0,1,0] => 5 [1,0,1,1,0,1,1,0,0,1,0,0] => 5 [1,0,1,1,0,1,1,0,1,0,0,0] => 6 [1,0,1,1,0,1,1,1,0,0,0,0] => 6 [1,0,1,1,1,0,0,0,1,0,1,0] => 4 [1,0,1,1,1,0,0,0,1,1,0,0] => 5 [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] => 4 [1,0,1,1,1,0,0,1,1,0,0,0] => 5 [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] => 4 [1,0,1,1,1,0,1,1,0,0,0,0] => 5 [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] => 5 [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] => 4 [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] => 0 [1,1,0,0,1,0,1,0,1,1,0,0] => 3 [1,1,0,0,1,0,1,1,0,0,1,0] => 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] => 5 [1,1,0,0,1,1,0,0,1,0,1,0] => 1 [1,1,0,0,1,1,0,0,1,1,0,0] => 3 [1,1,0,0,1,1,0,1,0,0,1,0] => 2 [1,1,0,0,1,1,0,1,0,1,0,0] => 3 [1,1,0,0,1,1,0,1,1,0,0,0] => 5 [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] => 4 [1,1,0,0,1,1,1,0,1,0,0,0] => 5 [1,1,0,0,1,1,1,1,0,0,0,0] => 5 [1,1,0,1,0,0,1,0,1,0,1,0] => 0 [1,1,0,1,0,0,1,0,1,1,0,0] => 2 [1,1,0,1,0,0,1,1,0,0,1,0] => 1 [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] => 4 [1,1,0,1,0,1,0,0,1,0,1,0] => 0 [1,1,0,1,0,1,0,0,1,1,0,0] => 1 [1,1,0,1,0,1,0,1,0,0,1,0] => 0 [1,1,0,1,0,1,0,1,0,1,0,0] => 0 [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] => 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] => 4 [1,1,0,1,0,1,1,1,0,0,0,0] => 4 [1,1,0,1,1,0,0,0,1,0,1,0] => 3 [1,1,0,1,1,0,0,0,1,1,0,0] => 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] => 1 [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] => 2 [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] => 4 [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] => 3 [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] => 3 [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] => 3 [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] => 3 [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] => 2 [1,1,1,0,0,1,0,0,1,1,0,0] => 2 [1,1,1,0,0,1,0,1,0,0,1,0] => 1 [1,1,1,0,0,1,0,1,0,1,0,0] => 0 [1,1,1,0,0,1,0,1,1,0,0,0] => 2 [1,1,1,0,0,1,1,0,0,0,1,0] => 3 [1,1,1,0,0,1,1,0,0,1,0,0] => 1 [1,1,1,0,0,1,1,0,1,0,0,0] => 2 [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] => 4 [1,1,1,0,1,0,0,0,1,1,0,0] => 3 [1,1,1,0,1,0,0,1,0,0,1,0] => 2 [1,1,1,0,1,0,0,1,0,1,0,0] => 0 [1,1,1,0,1,0,0,1,1,0,0,0] => 1 [1,1,1,0,1,0,1,0,0,0,1,0] => 3 [1,1,1,0,1,0,1,0,0,1,0,0] => 0 [1,1,1,0,1,0,1,0,1,0,0,0] => 0 [1,1,1,0,1,0,1,1,0,0,0,0] => 2 [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] => 2 [1,1,1,0,1,1,0,0,1,0,0,0] => 1 [1,1,1,0,1,1,0,1,0,0,0,0] => 2 [1,1,1,0,1,1,1,0,0,0,0,0] => 2 [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] => 4 [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] => 2 [1,1,1,1,0,0,1,0,0,0,1,0] => 3 [1,1,1,1,0,0,1,0,0,1,0,0] => 1 [1,1,1,1,0,0,1,0,1,0,0,0] => 0 [1,1,1,1,0,0,1,1,0,0,0,0] => 1 [1,1,1,1,0,1,0,0,0,0,1,0] => 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] => 0 [1,1,1,1,0,1,0,1,0,0,0,0] => 0 [1,1,1,1,0,1,1,0,0,0,0,0] => 1 [1,1,1,1,1,0,0,0,0,0,1,0] => 3 [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] => 1 [1,1,1,1,1,0,0,1,0,0,0,0] => 0 [1,1,1,1,1,0,1,0,0,0,0,0] => 0 [1,1,1,1,1,1,0,0,0,0,0,0] => 0 [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0 [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 5 [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 4 [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 8 [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 8 [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 3 [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 7 [1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 6 [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 9 [1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 10 [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 7 [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 9 [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 9 [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9 [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 2 [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 6 [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] => 8 [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 9 [1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 4 [1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 7 [1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 6 [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 8 [1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 10 [1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 8 [1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 9 [1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 10 [1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 10 [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] => 8 [1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 7 [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 8 [1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 9 [1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 8 [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 8 [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 8 [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 9 [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 8 [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 9 [1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 8 [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 8 [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 8 [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 1 [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 5 [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 4 [1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 7 [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8 [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] => 6 [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] => 7 [1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 9 [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 7 [1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 8 [1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 9 [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 9 [1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 2 [1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 5 [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] => 6 [1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 8 [1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 3 [1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 5 [1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 4 [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 5 [1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 8 [1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 7 [1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 7 [1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 9 [1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 9 [1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 6 [1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 7 [1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 6 [1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 6 [1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 8 [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] => 7 [1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 8 [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 9 [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 8 [1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 8 [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 8 [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 8 [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 8 [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 5 [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 7 [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] => 7 [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8 [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] => 6 [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] => 5 [1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 7 [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] => 6 [1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 7 [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 8 [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] => 7 [1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 6 [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 5 [1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 6 [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] => 5 [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 7 [1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 8 [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 7 [1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 6 [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 7 [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 7 [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 7 [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8 [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 7 [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 7 [1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 7 [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 7 [1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 6 [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] => 6 [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] => 7 [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] => 5 [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 6 [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] => 7 [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 6 [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 5 [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] => 5 [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 0 [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 4 [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 3 [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 6 [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 7 [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2 [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 5 [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] => 6 [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 8 [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] => 7 [1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 8 [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8 [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 1 [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] => 3 [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] => 7 [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 2 [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 4 [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] => 4 [1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 7 [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 6 [1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 6 [1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 8 [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 8 [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] => 6 [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 5 [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] => 7 [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] => 7 [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 8 [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 7 [1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 7 [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 7 [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 7 [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 7 [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 0 [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 3 [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2 [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 4 [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 6 [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] => 2 [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 3 [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 6 [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 5 [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 5 [1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 7 [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 7 [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 0 [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2 [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 1 [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] => 5 [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 0 [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 1 [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 0 [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 0 [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] => 4 [1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 3 [1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 6 [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 6 [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] => 4 [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] => 5 [1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 6 [1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 4 [1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 6 [1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 7 [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 6 [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] => 6 [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 6 [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 6 [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 4 [1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 5 [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] => 4 [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 6 [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 3 [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 3 [1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 2 [1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 1 [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] => 5 [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] => 5 [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 6 [1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 6 [1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 5 [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] => 2 [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] => 6 [1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 3 [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] => 6 [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 7 [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] => 5 [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 6 [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 6 [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 6 [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] => 5 [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] => 5 [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 6 [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 4 [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] => 5 [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 6 [1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 5 [1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 4 [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] => 5 [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 6 [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] => 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] => 4 [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 4 [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 4 [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 6 [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] => 6 [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] => 4 [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] => 4 [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 4 [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 6 [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] => 6 [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 7 [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 3 [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] => 3 [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] => 2 [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 2 [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 1 [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 0 [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 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] => 2 [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] => 5 [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] => 3 [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 1 [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3 [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] => 2 [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 3 [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 5 [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 6 [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 4 [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] => 5 [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 5 [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] => 6 [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] => 4 [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] => 0 [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 2 [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] => 1 [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 2 [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] => 4 [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 3 [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 0 [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 1 [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 4 [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 0 [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 0 [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 3 [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 6 [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] => 2 [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] => 4 [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] => 5 [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] => 3 [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] => 2 [1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 1 [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 3 [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 6 [1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 4 [1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 2 [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] => 6 [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] => 3 [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] => 3 [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] => 6 [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 7 [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] => 6 [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6 [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 5 [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 5 [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 4 [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] => 5 [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] => 3 [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 4 [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 6 [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 5 [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] => 2 [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 2 [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 4 [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 1 [1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 0 [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 2 [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 5 [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] => 1 [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 2 [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 3 [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 6 [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] => 5 [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 4 [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] => 2 [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 0 [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 1 [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 4 [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 3 [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 0 [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 0 [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 2 [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 5 [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] => 2 [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 1 [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 2 [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 2 [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] => 6 [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 5 [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 4 [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] => 3 [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 2 [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 2 [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] => 1 [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 0 [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 1 [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 4 [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] => 2 [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 0 [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 0 [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 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] => 2 [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 1 [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 0 [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 0 [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 0 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 6 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 5 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 10 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 10 [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 4 [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 9 [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] => 12 [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 13 [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 9 [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 12 [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 12 [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 12 [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 3 [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 8 [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] => 11 [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 12 [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] => 10 [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] => 12 [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 14 [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 11 [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 13 [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 14 [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 14 [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 8 [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11 [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 10 [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 12 [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 13 [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 11 [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 12 [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 12 [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 13 [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 11 [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 13 [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 12 [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 12 [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 12 [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 2 [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 7 [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] => 10 [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11 [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 5 [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9 [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] => 11 [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 13 [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10 [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 12 [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 13 [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 13 [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 4 [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 8 [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 7 [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 10 [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 12 [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 6 [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 9 [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 8 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 10 [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 13 [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 11 [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 12 [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 14 [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 14 [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 9 [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 11 [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] => 11 [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 13 [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 12 [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 12 [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 13 [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 14 [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 12 [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 13 [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 13 [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 13 [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 13 [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] => 10 [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 9 [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 11 [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 12 [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 8 [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 10 [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 9 [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 10 [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 12 [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 11 [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 11 [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 12 [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 13 [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 10 [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 11 [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 10 [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 10 [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 11 [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 11 [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 10 [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 10 [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 12 [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 12 [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 12 [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 11 [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 12 [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 12 [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 10 [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 12 [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 11 [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 12 [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 12 [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 11 [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 11 [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 10 [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 11 [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 11 [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 12 [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 10 [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 10 [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 11 [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 11 [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 12 [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 11 [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 10 [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 10 [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 10 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1 [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 6 [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 5 [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 9 [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 10 [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] => 8 [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 7 [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 10 [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 12 [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 9 [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 11 [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 12 [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 12 [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3 [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 7 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 6 [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 9 [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 11 [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] => 8 [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 7 [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 9 [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 12 [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 10 [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 11 [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 13 [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 13 [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 8 [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10 [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] => 10 [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 12 [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 11 [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 11 [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 12 [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 13 [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11 [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 12 [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 12 [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 12 [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 12 [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2 [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 6 [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] => 8 [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 10 [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 4 [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] => 6 [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 8 [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 11 [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 9 [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 10 [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 12 [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 12 [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3 [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 6 [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 5 [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 7 [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 10 [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] => 6 [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 5 [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] => 10 [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 9 [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 9 [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 12 [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 12 [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 8 [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 9 [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 8 [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 8 [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 11 [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 11 [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 10 [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 12 [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 13 [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 11 [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 11 [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 12 [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 12 [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 12 [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 7 [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 9 [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] => 9 [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 11 [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 7 [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 8 [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 7 [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 7 [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 10 [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] => 9 [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 11 [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 12 [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 10 [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 10 [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 9 [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 8 [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 10 [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 11 [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 9 [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 10 [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 12 [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 12 [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 11 [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 11 [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 12 [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 12 [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 10 [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 11 [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 10 [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 10 [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 11 [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 11 [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 10 [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 10 [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 11 [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 11 [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 11 [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 10 [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 10 [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 11 [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 11 [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 11 [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 11 [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 10 [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 10 [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 10 [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 6 [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 9 [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 8 [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 10 [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 11 [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] => 9 [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] => 9 [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 11 [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 10 [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 10 [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 11 [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 12 [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] => 8 [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 7 [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] => 10 [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 6 [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 7 [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] => 6 [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 9 [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 9 [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 8 [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 10 [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 11 [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] => 9 [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 8 [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 7 [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 9 [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] => 8 [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 9 [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 11 [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 11 [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 10 [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 10 [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 11 [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 11 [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 9 [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 10 [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 9 [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 9 [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 10 [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 8 [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 8 [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 7 [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 6 [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 8 [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 9 [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] => 8 [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 10 [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 10 [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 9 [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 8 [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 6 [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] => 9 [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] => 6 [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 9 [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 11 [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 9 [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 8 [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 10 [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 10 [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 11 [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 11 [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 10 [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 9 [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 9 [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] => 8 [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 7 [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 9 [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 11 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 10 [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 8 [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 9 [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 10 [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 11 [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 10 [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 9 [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 9 [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 9 [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 9 [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 9 [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 11 [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 10 [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 11 [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 11 [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 9 [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 10 [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 9 [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 9 [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 10 [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] => 9 [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 9 [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 10 [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 10 [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 10 [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 9 [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] => 8 [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 9 [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 7 [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] => 8 [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 10 [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 9 [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 7 [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 8 [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 9 [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 10 [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 11 [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 10 [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 10 [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 9 [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 9 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 8 [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] => 7 [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] => 9 [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 6 [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 6 [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 8 [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 10 [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 10 [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 8 [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 7 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 8 [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 8 [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 10 [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 11 [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 10 [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 10 [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 10 [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] => 8 [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 8 [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] => 9 [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] => 6 [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 7 [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 9 [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 9 [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 8 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 6 [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] => 7 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 9 [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 9 [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 8 [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 7 [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 6 [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 6 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 6 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 5 [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 4 [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 8 [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 9 [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 3 [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 7 [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => 6 [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => 9 [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => 11 [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 8 [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => 10 [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => 11 [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 11 [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 2 [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 6 [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] => 8 [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10 [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] => 7 [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => 6 [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => 8 [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => 11 [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => 9 [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => 10 [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => 12 [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => 12 [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] => 9 [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => 8 [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => 9 [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => 11 [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => 10 [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => 10 [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => 11 [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => 12 [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 10 [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => 11 [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => 11 [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => 11 [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 11 [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 1 [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] => 4 [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => 7 [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 9 [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 6 [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 5 [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => 7 [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => 10 [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 8 [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 9 [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => 11 [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 11 [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 2 [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 5 [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] => 6 [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 9 [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 3 [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 5 [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] => 5 [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => 9 [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => 8 [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => 8 [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => 11 [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => 11 [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 7 [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 8 [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 7 [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => 7 [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => 10 [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => 10 [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => 9 [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => 11 [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => 12 [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => 10 [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => 10 [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => 11 [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => 11 [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => 11 [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] => 8 [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] => 8 [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 10 [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 6 [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 7 [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 6 [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] => 9 [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] => 8 [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => 10 [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => 11 [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 9 [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 9 [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 8 [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] => 9 [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => 10 [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] => 9 [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => 11 [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => 11 [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => 10 [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => 10 [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => 11 [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => 11 [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 9 [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 10 [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 9 [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => 9 [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => 10 [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 10 [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 9 [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => 9 [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => 10 [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => 10 [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => 10 [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => 9 [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => 9 [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => 10 [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10 [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => 10 [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => 10 [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9 [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => 9 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 9 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 0 [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => 4 [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => 3 [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => 6 [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => 8 [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] => 5 [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] => 9 [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 7 [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 8 [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => 10 [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => 10 [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 1 ----------------------------------------------------------------------------- Created: Feb 04, 2016 at 12:47 by Christian Stump ----------------------------------------------------------------------------- Last Updated: Feb 05, 2016 at 21:04 by Christian Stump