***************************************************************************** * 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: St001932 ----------------------------------------------------------------------------- Collection: Dyck paths ----------------------------------------------------------------------------- Description: The number of pairs of singleton blocks in the noncrossing set partition corresponding to a Dyck path, that can be merged to create another noncrossing set partition. Let $D$ be a Dyck path, and let $P$ be the noncrossing set partition obtained by applying [[Mp00138]]. For each pair of singleton blocks $\{a\}, \{b\}$, let $P'$ be the set partition obtained from $P$ by merging the two blocks. This statistic enumerates the number of (unordered) pairs of singleton blocks such that $P'$ is noncrossing. ----------------------------------------------------------------------------- References: [1] Rouyer, J., Ninet, A. Two New Integer Sequences Related to Crossroads and Catalan Numbers [[arXiv:2311.07181]] ----------------------------------------------------------------------------- Code: def statistic(D): P = SetPartition(D.to_noncrossing_partition()) S = [b for b in P if len(b) == 1] return sum(1 for b, c in Subsets(S, 2) if SetPartition([p for p in P if p != b and p != c] + [b.union(c)]).is_noncrossing()) ----------------------------------------------------------------------------- Statistic values: [1,0] => 0 [1,0,1,0] => 1 [1,1,0,0] => 0 [1,0,1,0,1,0] => 3 [1,0,1,1,0,0] => 0 [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] => 6 [1,0,1,0,1,1,0,0] => 1 [1,0,1,1,0,0,1,0] => 1 [1,0,1,1,0,1,0,0] => 0 [1,0,1,1,1,0,0,0] => 0 [1,1,0,0,1,0,1,0] => 1 [1,1,0,0,1,1,0,0] => 0 [1,1,0,1,0,0,1,0] => 0 [1,1,0,1,0,1,0,0] => 1 [1,1,0,1,1,0,0,0] => 0 [1,1,1,0,0,0,1,0] => 0 [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] => 10 [1,0,1,0,1,0,1,1,0,0] => 3 [1,0,1,0,1,1,0,0,1,0] => 3 [1,0,1,0,1,1,0,1,0,0] => 1 [1,0,1,0,1,1,1,0,0,0] => 1 [1,0,1,1,0,0,1,0,1,0] => 3 [1,0,1,1,0,0,1,1,0,0] => 0 [1,0,1,1,0,1,0,0,1,0] => 1 [1,0,1,1,0,1,0,1,0,0] => 1 [1,0,1,1,0,1,1,0,0,0] => 0 [1,0,1,1,1,0,0,0,1,0] => 1 [1,0,1,1,1,0,0,1,0,0] => 0 [1,0,1,1,1,0,1,0,0,0] => 0 [1,0,1,1,1,1,0,0,0,0] => 0 [1,1,0,0,1,0,1,0,1,0] => 3 [1,1,0,0,1,0,1,1,0,0] => 0 [1,1,0,0,1,1,0,0,1,0] => 0 [1,1,0,0,1,1,0,1,0,0] => 0 [1,1,0,0,1,1,1,0,0,0] => 0 [1,1,0,1,0,0,1,0,1,0] => 1 [1,1,0,1,0,0,1,1,0,0] => 0 [1,1,0,1,0,1,0,0,1,0] => 1 [1,1,0,1,0,1,0,1,0,0] => 3 [1,1,0,1,0,1,1,0,0,0] => 1 [1,1,0,1,1,0,0,0,1,0] => 0 [1,1,0,1,1,0,0,1,0,0] => 0 [1,1,0,1,1,0,1,0,0,0] => 0 [1,1,0,1,1,1,0,0,0,0] => 0 [1,1,1,0,0,0,1,0,1,0] => 1 [1,1,1,0,0,0,1,1,0,0] => 0 [1,1,1,0,0,1,0,0,1,0] => 0 [1,1,1,0,0,1,0,1,0,0] => 0 [1,1,1,0,0,1,1,0,0,0] => 0 [1,1,1,0,1,0,0,0,1,0] => 0 [1,1,1,0,1,0,0,1,0,0] => 0 [1,1,1,0,1,0,1,0,0,0] => 1 [1,1,1,0,1,1,0,0,0,0] => 0 [1,1,1,1,0,0,0,0,1,0] => 0 [1,1,1,1,0,0,0,1,0,0] => 0 [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] => 15 [1,0,1,0,1,0,1,0,1,1,0,0] => 6 [1,0,1,0,1,0,1,1,0,0,1,0] => 6 [1,0,1,0,1,0,1,1,0,1,0,0] => 3 [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] => 6 [1,0,1,0,1,1,0,0,1,1,0,0] => 1 [1,0,1,0,1,1,0,1,0,0,1,0] => 3 [1,0,1,0,1,1,0,1,0,1,0,0] => 2 [1,0,1,0,1,1,0,1,1,0,0,0] => 1 [1,0,1,0,1,1,1,0,0,0,1,0] => 3 [1,0,1,0,1,1,1,0,0,1,0,0] => 1 [1,0,1,0,1,1,1,0,1,0,0,0] => 1 [1,0,1,0,1,1,1,1,0,0,0,0] => 1 [1,0,1,1,0,0,1,0,1,0,1,0] => 6 [1,0,1,1,0,0,1,0,1,1,0,0] => 1 [1,0,1,1,0,0,1,1,0,0,1,0] => 1 [1,0,1,1,0,0,1,1,0,1,0,0] => 0 [1,0,1,1,0,0,1,1,1,0,0,0] => 0 [1,0,1,1,0,1,0,0,1,0,1,0] => 3 [1,0,1,1,0,1,0,0,1,1,0,0] => 0 [1,0,1,1,0,1,0,1,0,0,1,0] => 2 [1,0,1,1,0,1,0,1,0,1,0,0] => 3 [1,0,1,1,0,1,0,1,1,0,0,0] => 1 [1,0,1,1,0,1,1,0,0,0,1,0] => 1 [1,0,1,1,0,1,1,0,0,1,0,0] => 0 [1,0,1,1,0,1,1,0,1,0,0,0] => 0 [1,0,1,1,0,1,1,1,0,0,0,0] => 0 [1,0,1,1,1,0,0,0,1,0,1,0] => 3 [1,0,1,1,1,0,0,0,1,1,0,0] => 0 [1,0,1,1,1,0,0,1,0,0,1,0] => 1 [1,0,1,1,1,0,0,1,0,1,0,0] => 0 [1,0,1,1,1,0,0,1,1,0,0,0] => 0 [1,0,1,1,1,0,1,0,0,0,1,0] => 1 [1,0,1,1,1,0,1,0,0,1,0,0] => 0 [1,0,1,1,1,0,1,0,1,0,0,0] => 1 [1,0,1,1,1,0,1,1,0,0,0,0] => 0 [1,0,1,1,1,1,0,0,0,0,1,0] => 1 [1,0,1,1,1,1,0,0,0,1,0,0] => 0 [1,0,1,1,1,1,0,0,1,0,0,0] => 0 [1,0,1,1,1,1,0,1,0,0,0,0] => 0 [1,0,1,1,1,1,1,0,0,0,0,0] => 0 [1,1,0,0,1,0,1,0,1,0,1,0] => 6 [1,1,0,0,1,0,1,0,1,1,0,0] => 1 [1,1,0,0,1,0,1,1,0,0,1,0] => 1 [1,1,0,0,1,0,1,1,0,1,0,0] => 0 [1,1,0,0,1,0,1,1,1,0,0,0] => 0 [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] => 0 [1,1,0,0,1,1,0,1,0,0,1,0] => 0 [1,1,0,0,1,1,0,1,0,1,0,0] => 1 [1,1,0,0,1,1,0,1,1,0,0,0] => 0 [1,1,0,0,1,1,1,0,0,0,1,0] => 0 [1,1,0,0,1,1,1,0,0,1,0,0] => 0 [1,1,0,0,1,1,1,0,1,0,0,0] => 0 [1,1,0,0,1,1,1,1,0,0,0,0] => 0 [1,1,0,1,0,0,1,0,1,0,1,0] => 3 [1,1,0,1,0,0,1,0,1,1,0,0] => 0 [1,1,0,1,0,0,1,1,0,0,1,0] => 0 [1,1,0,1,0,0,1,1,0,1,0,0] => 0 [1,1,0,1,0,0,1,1,1,0,0,0] => 0 [1,1,0,1,0,1,0,0,1,0,1,0] => 2 [1,1,0,1,0,1,0,0,1,1,0,0] => 1 [1,1,0,1,0,1,0,1,0,0,1,0] => 3 [1,1,0,1,0,1,0,1,0,1,0,0] => 6 [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] => 1 [1,1,0,1,0,1,1,0,0,1,0,0] => 1 [1,1,0,1,0,1,1,0,1,0,0,0] => 1 [1,1,0,1,0,1,1,1,0,0,0,0] => 1 [1,1,0,1,1,0,0,0,1,0,1,0] => 1 [1,1,0,1,1,0,0,0,1,1,0,0] => 0 [1,1,0,1,1,0,0,1,0,0,1,0] => 0 [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] => 0 [1,1,0,1,1,0,1,0,0,0,1,0] => 0 [1,1,0,1,1,0,1,0,0,1,0,0] => 0 [1,1,0,1,1,0,1,0,1,0,0,0] => 1 [1,1,0,1,1,0,1,1,0,0,0,0] => 0 [1,1,0,1,1,1,0,0,0,0,1,0] => 0 [1,1,0,1,1,1,0,0,0,1,0,0] => 0 [1,1,0,1,1,1,0,0,1,0,0,0] => 0 [1,1,0,1,1,1,0,1,0,0,0,0] => 0 [1,1,0,1,1,1,1,0,0,0,0,0] => 0 [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] => 0 [1,1,1,0,0,0,1,1,0,0,1,0] => 0 [1,1,1,0,0,0,1,1,0,1,0,0] => 0 [1,1,1,0,0,0,1,1,1,0,0,0] => 0 [1,1,1,0,0,1,0,0,1,0,1,0] => 1 [1,1,1,0,0,1,0,0,1,1,0,0] => 0 [1,1,1,0,0,1,0,1,0,0,1,0] => 0 [1,1,1,0,0,1,0,1,0,1,0,0] => 1 [1,1,1,0,0,1,0,1,1,0,0,0] => 0 [1,1,1,0,0,1,1,0,0,0,1,0] => 0 [1,1,1,0,0,1,1,0,0,1,0,0] => 0 [1,1,1,0,0,1,1,0,1,0,0,0] => 0 [1,1,1,0,0,1,1,1,0,0,0,0] => 0 [1,1,1,0,1,0,0,0,1,0,1,0] => 1 [1,1,1,0,1,0,0,0,1,1,0,0] => 0 [1,1,1,0,1,0,0,1,0,0,1,0] => 0 [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] => 0 [1,1,1,0,1,0,1,0,0,0,1,0] => 1 [1,1,1,0,1,0,1,0,0,1,0,0] => 1 [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] => 1 [1,1,1,0,1,1,0,0,0,0,1,0] => 0 [1,1,1,0,1,1,0,0,0,1,0,0] => 0 [1,1,1,0,1,1,0,0,1,0,0,0] => 0 [1,1,1,0,1,1,0,1,0,0,0,0] => 0 [1,1,1,0,1,1,1,0,0,0,0,0] => 0 [1,1,1,1,0,0,0,0,1,0,1,0] => 1 [1,1,1,1,0,0,0,0,1,1,0,0] => 0 [1,1,1,1,0,0,0,1,0,0,1,0] => 0 [1,1,1,1,0,0,0,1,0,1,0,0] => 0 [1,1,1,1,0,0,0,1,1,0,0,0] => 0 [1,1,1,1,0,0,1,0,0,0,1,0] => 0 [1,1,1,1,0,0,1,0,0,1,0,0] => 0 [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] => 0 [1,1,1,1,0,1,0,0,0,0,1,0] => 0 [1,1,1,1,0,1,0,0,0,1,0,0] => 0 [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] => 1 [1,1,1,1,0,1,1,0,0,0,0,0] => 0 [1,1,1,1,1,0,0,0,0,0,1,0] => 0 [1,1,1,1,1,0,0,0,0,1,0,0] => 0 [1,1,1,1,1,0,0,0,1,0,0,0] => 0 [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] => 21 [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 10 [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 10 [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 6 [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 6 [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 10 [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 3 [1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 6 [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] => 3 [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] => 3 [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 3 [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] => 10 [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 3 [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 3 [1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 1 [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 1 [1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 6 [1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 1 [1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 4 [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 4 [1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 2 [1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 3 [1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 1 [1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 1 [1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 1 [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] => 1 [1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 3 [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 1 [1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 1 [1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 3 [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 1 [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 2 [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 1 [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 3 [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 1 [1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 1 [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 1 [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 1 [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 10 [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 3 [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 3 [1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 1 [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 1 [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] => 0 [1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 1 [1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 1 [1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 0 [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 1 [1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 0 [1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 0 [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 0 [1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 6 [1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 1 [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 1 [1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 0 [1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 0 [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] => 1 [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] => 6 [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] => 2 [1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 1 [1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 1 [1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 1 [1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 3 [1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 0 [1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 1 [1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 1 [1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 0 [1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 1 [1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 0 [1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 1 [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 0 [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 1 [1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 0 [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 0 [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 0 [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 0 [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] => 1 [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 1 [1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 0 [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 0 [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3 [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 0 [1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 1 [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 1 [1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 0 [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 1 [1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 0 [1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 0 [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 0 [1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 3 [1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 0 [1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 1 [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 0 [1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 0 [1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 2 [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 1 [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 3 [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 1 [1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 1 [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 0 [1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 0 [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 0 [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 0 [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 3 [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 0 [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 1 [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 0 [1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 0 [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 1 [1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 0 [1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 0 [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 0 [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 1 [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 0 [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 0 [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 1 [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 0 [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 1 [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 0 [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 0 [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 0 [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 0 [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 0 [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 10 [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 3 [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] => 1 [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 1 [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 3 [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 0 [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 1 [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 1 [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 0 [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 1 [1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 0 [1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 0 [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 0 [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3 [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 0 [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 0 [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 0 [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 0 [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 1 [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 0 [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 1 [1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 3 [1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 1 [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 0 [1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 0 [1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 0 [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 0 [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 1 [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 0 [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 0 [1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 0 [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 0 [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 0 [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 0 [1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 1 [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 0 [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 0 [1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 0 [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 0 [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 0 [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 0 [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 6 [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 1 [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 1 [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 0 [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 0 [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] => 0 [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 0 [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 1 [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 0 [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 0 [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 0 [1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 0 [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 0 [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] => 1 [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] => 1 [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 1 [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 4 [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 3 [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 6 [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 10 [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 6 [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 3 [1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 3 [1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 3 [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 3 [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 2 [1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 1 [1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 1 [1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 3 [1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 1 [1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 1 [1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 1 [1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 2 [1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 1 [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 1 [1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 1 [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 1 [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 1 [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 1 [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 3 [1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 0 [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 0 [1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 0 [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 0 [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 1 [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 0 [1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 1 [1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 3 [1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 1 [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 0 [1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 0 [1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 0 [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 0 [1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 1 [1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 0 [1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 0 [1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 1 [1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 0 [1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 1 [1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 1 [1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 3 [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 1 [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 0 [1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 0 [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 0 [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 0 [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 0 [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 1 [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 0 [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 0 [1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 1 [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 0 [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 0 [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 0 [1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 0 [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 0 [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 0 [1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 0 [1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 0 [1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 1 [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 0 [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 0 [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 0 [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 0 [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 0 [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 0 [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 0 [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] => 1 [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 1 [1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 0 [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 0 [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 1 [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 0 [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 0 [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 1 [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 0 [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 0 [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 0 [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 0 [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 0 [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] => 0 [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 0 [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 0 [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 0 [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 1 [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 0 [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] => 3 [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 1 [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 0 [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 0 [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 0 [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 0 [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 1 [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 0 [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 0 [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 0 [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 0 [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 0 [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 0 [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 1 [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 0 [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 0 [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 0 [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 0 [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 0 [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 0 [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 3 [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 0 [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 0 [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 0 [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 0 [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 1 [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 0 [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 0 [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 1 [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 0 [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 0 [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 0 [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 0 [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 0 [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 2 [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 1 [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 1 [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 1 [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] => 3 [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 3 [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 6 [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] => 1 [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 1 [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 1 [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 1 [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 1 [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 1 [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 0 [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 0 [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 0 [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 0 [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 0 [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 0 [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] => 0 [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 0 [1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 0 [1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 0 [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 1 [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 0 [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 0 [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 0 [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 0 [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 0 [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 0 [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 0 [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 3 [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 0 [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 0 [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 0 [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 0 [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 1 [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 0 [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 0 [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 1 [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 0 [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 0 [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 0 [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 0 [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 0 [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 1 [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 0 [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 0 [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 0 [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 0 [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 0 [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 0 [1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 1 [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 0 [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 0 [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 0 [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 0 [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 0 [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 0 [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 1 [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 0 [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 0 [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 0 [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 0 [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 0 [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 0 [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] => 0 [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 1 [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 1 [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 1 [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] => 1 [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 0 [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 0 [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 0 [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 0 [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 0 [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 0 [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 1 [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 0 [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 0 [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 0 [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 0 [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 0 [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 0 [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 0 [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 0 [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 0 [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 0 [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 0 [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] => 0 [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 0 [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 0 [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 0 [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] => 1 [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 0 [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 0 [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 0 [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 0 [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 0 [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] => 28 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 15 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 15 [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] => 15 [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] => 10 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 7 [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] => 10 [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] => 6 [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] => 15 [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] => 3 [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 3 [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 10 [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 3 [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 7 [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] => 4 [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] => 3 [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 3 [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 3 [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 10 [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 3 [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 6 [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 3 [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 3 [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 6 [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 3 [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 4 [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 3 [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] => 3 [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 3 [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 3 [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] => 15 [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] => 3 [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 3 [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] => 1 [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3 [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 2 [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 1 [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 3 [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 1 [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 1 [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 1 [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 10 [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 3 [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3 [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 1 [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 1 [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 7 [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 2 [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 6 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 7 [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] => 4 [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 2 [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 2 [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 2 [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] => 1 [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 3 [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 2 [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 1 [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 3 [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 1 [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 2 [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 1 [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 3 [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 1 [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 1 [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 1 [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 1 [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 10 [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 3 [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3 [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 1 [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 1 [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 6 [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 1 [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3 [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 2 [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 1 [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 3 [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 1 [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 1 [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 1 [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 6 [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 1 [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 3 [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 1 [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 1 [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 4 [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 2 [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 4 [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 2 [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 3 [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 1 [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 1 [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 1 [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 1 [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] => 1 [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 3 [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 1 [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 1 [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 3 [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 1 [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 1 [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 1 [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 3 [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 1 [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 1 [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 2 [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 1 [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 3 [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 1 [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 1 [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 1 [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 1 [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 15 [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] => 3 [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 3 [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] => 1 [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 3 [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 2 [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 1 [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 3 [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 1 [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 1 [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 1 [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] => 1 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 1 [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 0 [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 0 [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 3 [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 0 [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 2 [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] => 1 [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 1 [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 0 [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 0 [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 0 [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 3 [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 0 [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 1 [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 0 [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 0 [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 1 [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 0 [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 1 [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 0 [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 1 [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 0 [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 0 [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 0 [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 0 [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 10 [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 3 [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 3 [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 1 [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 1 [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 3 [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 0 [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 1 [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 1 [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 0 [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 1 [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 0 [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 0 [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 0 [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 7 [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2 [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2 [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 1 [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 1 [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 6 [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 3 [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 7 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 10 [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 6 [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] => 3 [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 3 [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 4 [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 1 [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 2 [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] => 1 [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 2 [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 1 [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 2 [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 1 [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 2 [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 1 [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 1 [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 1 [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 1 [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 6 [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 1 [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 1 [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 0 [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 0 [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 3 [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 0 [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 2 [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] => 1 [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 1 [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 0 [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 0 [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 0 [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 3 [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 0 [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 1 [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 1 [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 0 [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 2 [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 1 [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 3 [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 1 [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 1 [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 0 [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 0 [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 0 [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 0 [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 3 [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 0 [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 1 [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 1 [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 0 [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 1 [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 0 [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 0 [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 0 [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 1 [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 0 [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 0 [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 1 [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 0 [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 1 [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 0 [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 0 [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 0 [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 0 [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 0 [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 10 [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 3 [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 3 [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 1 [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 1 [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 3 [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 0 [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 1 [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 1 [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 0 [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 1 [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 0 [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 0 [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 0 [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] => 1 [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 1 [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 0 [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 0 [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 3 [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 0 [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 2 [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] => 1 [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 1 [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 0 [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 0 [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 0 [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 3 [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 0 [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 1 [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 0 [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 0 [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 1 [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 0 [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 1 [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 0 [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 1 [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 0 [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 0 [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 0 [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 0 [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 6 [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 1 [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 1 [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 0 [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 0 [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 3 [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 0 [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 1 [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 1 [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 0 [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 1 [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 0 [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 0 [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 0 [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 4 [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 1 [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 2 [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 1 [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 1 [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 4 [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 3 [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] => 3 [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 2 [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 1 [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 1 [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 1 [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 1 [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 3 [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 0 [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 1 [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 0 [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 0 [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 1 [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 0 [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 1 [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 0 [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 1 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 0 [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 0 [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 1 [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 0 [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 1 [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 0 [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 0 [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 0 [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 0 [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 0 [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] => 1 [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 1 [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 0 [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 0 [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 3 [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 0 [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 1 [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 1 [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 0 [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 1 [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 0 [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 0 [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 0 [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 3 [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 0 [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 1 [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 0 [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 0 [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 1 [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 0 [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 1 [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 0 [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 1 [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 0 [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 0 [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 0 [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 0 [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 3 [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 0 [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 1 [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 0 [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 0 [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 1 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 0 [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 0 [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 0 [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 2 [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 1 [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 1 [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] => 1 [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 1 [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 0 [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 0 [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 0 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 0 [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 0 [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 3 [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 0 [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 1 [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 0 [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 0 [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 1 [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 0 [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 0 [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 0 [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 1 [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 0 [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 0 [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 0 [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 0 [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 1 [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 0 [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 0 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 0 [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 1 [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 0 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1 [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 0 [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 0 [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 0 [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 0 [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 0 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 0 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 15 [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] => 3 [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 3 [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] => 1 [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => 3 [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => 2 [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => 1 [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 3 [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => 1 [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => 1 [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 1 [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] => 1 [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 1 [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => 0 [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 0 [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => 3 [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => 0 [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => 2 [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => 3 [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => 1 [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => 1 [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => 0 [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => 0 [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => 0 [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 3 [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 0 [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => 1 [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => 0 [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => 0 [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => 1 [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => 0 [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => 1 [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => 0 [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 1 [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => 0 [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => 0 [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => 0 [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 0 [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] => 1 [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 1 [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => 0 [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 0 [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 1 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 0 [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 0 [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => 1 [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => 0 [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 0 [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 0 [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => 0 [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 0 [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 3 [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 0 [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 0 [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 0 [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 0 [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 2 [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 1 [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] => 6 [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] => 1 [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => 1 [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => 1 [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => 1 [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 1 [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 0 [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 0 [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => 1 [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => 0 [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => 0 [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => 0 [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => 1 [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => 0 [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => 0 [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => 0 [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => 0 [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => 0 [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => 0 [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 3 [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 0 [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 0 [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 0 [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 0 [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 1 [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 0 [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 0 [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => 1 [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => 0 [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 0 [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 0 [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => 0 [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => 0 [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 1 [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 0 [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 0 [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => 0 [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => 0 [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => 1 [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => 1 [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => 3 [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => 1 [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => 0 [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => 0 [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => 0 [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => 0 [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => 0 [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 1 [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 0 [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 0 [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => 0 [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => 0 [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 0 [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 0 [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => 0 [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => 0 [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => 0 [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => 0 [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => 0 [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => 1 [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => 0 [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 0 [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => 0 [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => 0 [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => 0 [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => 0 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 0 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 10 [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => 3 [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] => 1 [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => 1 [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 3 [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 0 [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 1 [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => 1 [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => 0 [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 1 [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 0 [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => 0 [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => 0 ----------------------------------------------------------------------------- Created: Nov 15, 2023 at 00:03 by Martin Rubey ----------------------------------------------------------------------------- Last Updated: Nov 15, 2023 at 00:03 by Martin Rubey