***************************************************************************** * 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: St000038 ----------------------------------------------------------------------------- Collection: Dyck paths ----------------------------------------------------------------------------- Description: The product of the heights of the descending steps of a Dyck path. A Dyck path with 2n letters defines a partition inside an [n] x [n] board. This statistic counts the number of placements of n non-attacking rooks on the board. By the Gessel-Viennot theory of orthogonal polynomials this corresponds to the 0-moment of the Hermite polynomials. Summing the values of the statistic over all Dyck paths of fixed size n the number of perfect matchings (2n+1)!! is obtained: up steps are openers, down steps closers and the rooks determine a pairing of openers and closers. ----------------------------------------------------------------------------- References: [1] Viennot, Gérard A combinatorial theory for general orthogonal polynomials with extensions and applications [[MathSciNet:0838979]] ----------------------------------------------------------------------------- Code: def statistic(x): stat = 1 currht = 0 for c in x: if c == 1: currht = currht + 1 else: stat = stat*currht currht = currht - 1 return stat ----------------------------------------------------------------------------- Statistic values: [1,0] => 1 [1,0,1,0] => 1 [1,1,0,0] => 2 [1,0,1,0,1,0] => 1 [1,0,1,1,0,0] => 2 [1,1,0,0,1,0] => 2 [1,1,0,1,0,0] => 4 [1,1,1,0,0,0] => 6 [1,0,1,0,1,0,1,0] => 1 [1,0,1,0,1,1,0,0] => 2 [1,0,1,1,0,0,1,0] => 2 [1,0,1,1,0,1,0,0] => 4 [1,0,1,1,1,0,0,0] => 6 [1,1,0,0,1,0,1,0] => 2 [1,1,0,0,1,1,0,0] => 4 [1,1,0,1,0,0,1,0] => 4 [1,1,0,1,0,1,0,0] => 8 [1,1,0,1,1,0,0,0] => 12 [1,1,1,0,0,0,1,0] => 6 [1,1,1,0,0,1,0,0] => 12 [1,1,1,0,1,0,0,0] => 18 [1,1,1,1,0,0,0,0] => 24 [1,0,1,0,1,0,1,0,1,0] => 1 [1,0,1,0,1,0,1,1,0,0] => 2 [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] => 6 [1,0,1,1,0,0,1,0,1,0] => 2 [1,0,1,1,0,0,1,1,0,0] => 4 [1,0,1,1,0,1,0,0,1,0] => 4 [1,0,1,1,0,1,0,1,0,0] => 8 [1,0,1,1,0,1,1,0,0,0] => 12 [1,0,1,1,1,0,0,0,1,0] => 6 [1,0,1,1,1,0,0,1,0,0] => 12 [1,0,1,1,1,0,1,0,0,0] => 18 [1,0,1,1,1,1,0,0,0,0] => 24 [1,1,0,0,1,0,1,0,1,0] => 2 [1,1,0,0,1,0,1,1,0,0] => 4 [1,1,0,0,1,1,0,0,1,0] => 4 [1,1,0,0,1,1,0,1,0,0] => 8 [1,1,0,0,1,1,1,0,0,0] => 12 [1,1,0,1,0,0,1,0,1,0] => 4 [1,1,0,1,0,0,1,1,0,0] => 8 [1,1,0,1,0,1,0,0,1,0] => 8 [1,1,0,1,0,1,0,1,0,0] => 16 [1,1,0,1,0,1,1,0,0,0] => 24 [1,1,0,1,1,0,0,0,1,0] => 12 [1,1,0,1,1,0,0,1,0,0] => 24 [1,1,0,1,1,0,1,0,0,0] => 36 [1,1,0,1,1,1,0,0,0,0] => 48 [1,1,1,0,0,0,1,0,1,0] => 6 [1,1,1,0,0,0,1,1,0,0] => 12 [1,1,1,0,0,1,0,0,1,0] => 12 [1,1,1,0,0,1,0,1,0,0] => 24 [1,1,1,0,0,1,1,0,0,0] => 36 [1,1,1,0,1,0,0,0,1,0] => 18 [1,1,1,0,1,0,0,1,0,0] => 36 [1,1,1,0,1,0,1,0,0,0] => 54 [1,1,1,0,1,1,0,0,0,0] => 72 [1,1,1,1,0,0,0,0,1,0] => 24 [1,1,1,1,0,0,0,1,0,0] => 48 [1,1,1,1,0,0,1,0,0,0] => 72 [1,1,1,1,0,1,0,0,0,0] => 96 [1,1,1,1,1,0,0,0,0,0] => 120 [1,0,1,0,1,0,1,0,1,0,1,0] => 1 [1,0,1,0,1,0,1,0,1,1,0,0] => 2 [1,0,1,0,1,0,1,1,0,0,1,0] => 2 [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] => 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] => 4 [1,0,1,0,1,1,0,1,0,0,1,0] => 4 [1,0,1,0,1,1,0,1,0,1,0,0] => 8 [1,0,1,0,1,1,0,1,1,0,0,0] => 12 [1,0,1,0,1,1,1,0,0,0,1,0] => 6 [1,0,1,0,1,1,1,0,0,1,0,0] => 12 [1,0,1,0,1,1,1,0,1,0,0,0] => 18 [1,0,1,0,1,1,1,1,0,0,0,0] => 24 [1,0,1,1,0,0,1,0,1,0,1,0] => 2 [1,0,1,1,0,0,1,0,1,1,0,0] => 4 [1,0,1,1,0,0,1,1,0,0,1,0] => 4 [1,0,1,1,0,0,1,1,0,1,0,0] => 8 [1,0,1,1,0,0,1,1,1,0,0,0] => 12 [1,0,1,1,0,1,0,0,1,0,1,0] => 4 [1,0,1,1,0,1,0,0,1,1,0,0] => 8 [1,0,1,1,0,1,0,1,0,0,1,0] => 8 [1,0,1,1,0,1,0,1,0,1,0,0] => 16 [1,0,1,1,0,1,0,1,1,0,0,0] => 24 [1,0,1,1,0,1,1,0,0,0,1,0] => 12 [1,0,1,1,0,1,1,0,0,1,0,0] => 24 [1,0,1,1,0,1,1,0,1,0,0,0] => 36 [1,0,1,1,0,1,1,1,0,0,0,0] => 48 [1,0,1,1,1,0,0,0,1,0,1,0] => 6 [1,0,1,1,1,0,0,0,1,1,0,0] => 12 [1,0,1,1,1,0,0,1,0,0,1,0] => 12 [1,0,1,1,1,0,0,1,0,1,0,0] => 24 [1,0,1,1,1,0,0,1,1,0,0,0] => 36 [1,0,1,1,1,0,1,0,0,0,1,0] => 18 [1,0,1,1,1,0,1,0,0,1,0,0] => 36 [1,0,1,1,1,0,1,0,1,0,0,0] => 54 [1,0,1,1,1,0,1,1,0,0,0,0] => 72 [1,0,1,1,1,1,0,0,0,0,1,0] => 24 [1,0,1,1,1,1,0,0,0,1,0,0] => 48 [1,0,1,1,1,1,0,0,1,0,0,0] => 72 [1,0,1,1,1,1,0,1,0,0,0,0] => 96 [1,0,1,1,1,1,1,0,0,0,0,0] => 120 [1,1,0,0,1,0,1,0,1,0,1,0] => 2 [1,1,0,0,1,0,1,0,1,1,0,0] => 4 [1,1,0,0,1,0,1,1,0,0,1,0] => 4 [1,1,0,0,1,0,1,1,0,1,0,0] => 8 [1,1,0,0,1,0,1,1,1,0,0,0] => 12 [1,1,0,0,1,1,0,0,1,0,1,0] => 4 [1,1,0,0,1,1,0,0,1,1,0,0] => 8 [1,1,0,0,1,1,0,1,0,0,1,0] => 8 [1,1,0,0,1,1,0,1,0,1,0,0] => 16 [1,1,0,0,1,1,0,1,1,0,0,0] => 24 [1,1,0,0,1,1,1,0,0,0,1,0] => 12 [1,1,0,0,1,1,1,0,0,1,0,0] => 24 [1,1,0,0,1,1,1,0,1,0,0,0] => 36 [1,1,0,0,1,1,1,1,0,0,0,0] => 48 [1,1,0,1,0,0,1,0,1,0,1,0] => 4 [1,1,0,1,0,0,1,0,1,1,0,0] => 8 [1,1,0,1,0,0,1,1,0,0,1,0] => 8 [1,1,0,1,0,0,1,1,0,1,0,0] => 16 [1,1,0,1,0,0,1,1,1,0,0,0] => 24 [1,1,0,1,0,1,0,0,1,0,1,0] => 8 [1,1,0,1,0,1,0,0,1,1,0,0] => 16 [1,1,0,1,0,1,0,1,0,0,1,0] => 16 [1,1,0,1,0,1,0,1,0,1,0,0] => 32 [1,1,0,1,0,1,0,1,1,0,0,0] => 48 [1,1,0,1,0,1,1,0,0,0,1,0] => 24 [1,1,0,1,0,1,1,0,0,1,0,0] => 48 [1,1,0,1,0,1,1,0,1,0,0,0] => 72 [1,1,0,1,0,1,1,1,0,0,0,0] => 96 [1,1,0,1,1,0,0,0,1,0,1,0] => 12 [1,1,0,1,1,0,0,0,1,1,0,0] => 24 [1,1,0,1,1,0,0,1,0,0,1,0] => 24 [1,1,0,1,1,0,0,1,0,1,0,0] => 48 [1,1,0,1,1,0,0,1,1,0,0,0] => 72 [1,1,0,1,1,0,1,0,0,0,1,0] => 36 [1,1,0,1,1,0,1,0,0,1,0,0] => 72 [1,1,0,1,1,0,1,0,1,0,0,0] => 108 [1,1,0,1,1,0,1,1,0,0,0,0] => 144 [1,1,0,1,1,1,0,0,0,0,1,0] => 48 [1,1,0,1,1,1,0,0,0,1,0,0] => 96 [1,1,0,1,1,1,0,0,1,0,0,0] => 144 [1,1,0,1,1,1,0,1,0,0,0,0] => 192 [1,1,0,1,1,1,1,0,0,0,0,0] => 240 [1,1,1,0,0,0,1,0,1,0,1,0] => 6 [1,1,1,0,0,0,1,0,1,1,0,0] => 12 [1,1,1,0,0,0,1,1,0,0,1,0] => 12 [1,1,1,0,0,0,1,1,0,1,0,0] => 24 [1,1,1,0,0,0,1,1,1,0,0,0] => 36 [1,1,1,0,0,1,0,0,1,0,1,0] => 12 [1,1,1,0,0,1,0,0,1,1,0,0] => 24 [1,1,1,0,0,1,0,1,0,0,1,0] => 24 [1,1,1,0,0,1,0,1,0,1,0,0] => 48 [1,1,1,0,0,1,0,1,1,0,0,0] => 72 [1,1,1,0,0,1,1,0,0,0,1,0] => 36 [1,1,1,0,0,1,1,0,0,1,0,0] => 72 [1,1,1,0,0,1,1,0,1,0,0,0] => 108 [1,1,1,0,0,1,1,1,0,0,0,0] => 144 [1,1,1,0,1,0,0,0,1,0,1,0] => 18 [1,1,1,0,1,0,0,0,1,1,0,0] => 36 [1,1,1,0,1,0,0,1,0,0,1,0] => 36 [1,1,1,0,1,0,0,1,0,1,0,0] => 72 [1,1,1,0,1,0,0,1,1,0,0,0] => 108 [1,1,1,0,1,0,1,0,0,0,1,0] => 54 [1,1,1,0,1,0,1,0,0,1,0,0] => 108 [1,1,1,0,1,0,1,0,1,0,0,0] => 162 [1,1,1,0,1,0,1,1,0,0,0,0] => 216 [1,1,1,0,1,1,0,0,0,0,1,0] => 72 [1,1,1,0,1,1,0,0,0,1,0,0] => 144 [1,1,1,0,1,1,0,0,1,0,0,0] => 216 [1,1,1,0,1,1,0,1,0,0,0,0] => 288 [1,1,1,0,1,1,1,0,0,0,0,0] => 360 [1,1,1,1,0,0,0,0,1,0,1,0] => 24 [1,1,1,1,0,0,0,0,1,1,0,0] => 48 [1,1,1,1,0,0,0,1,0,0,1,0] => 48 [1,1,1,1,0,0,0,1,0,1,0,0] => 96 [1,1,1,1,0,0,0,1,1,0,0,0] => 144 [1,1,1,1,0,0,1,0,0,0,1,0] => 72 [1,1,1,1,0,0,1,0,0,1,0,0] => 144 [1,1,1,1,0,0,1,0,1,0,0,0] => 216 [1,1,1,1,0,0,1,1,0,0,0,0] => 288 [1,1,1,1,0,1,0,0,0,0,1,0] => 96 [1,1,1,1,0,1,0,0,0,1,0,0] => 192 [1,1,1,1,0,1,0,0,1,0,0,0] => 288 [1,1,1,1,0,1,0,1,0,0,0,0] => 384 [1,1,1,1,0,1,1,0,0,0,0,0] => 480 [1,1,1,1,1,0,0,0,0,0,1,0] => 120 [1,1,1,1,1,0,0,0,0,1,0,0] => 240 [1,1,1,1,1,0,0,0,1,0,0,0] => 360 [1,1,1,1,1,0,0,1,0,0,0,0] => 480 [1,1,1,1,1,0,1,0,0,0,0,0] => 600 [1,1,1,1,1,1,0,0,0,0,0,0] => 720 [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1 [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 2 [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 2 [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 4 [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] => 2 [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 4 [1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 4 [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 8 [1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 12 [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] => 12 [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 18 [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 24 [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] => 4 [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 4 [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] => 12 [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] => 8 [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] => 16 [1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 24 [1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 12 [1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 24 [1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 36 [1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 48 [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] => 12 [1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 12 [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 24 [1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 36 [1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 18 [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 36 [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 54 [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 72 [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 24 [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 48 [1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 72 [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 96 [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 120 [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 2 [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 4 [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] => 8 [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12 [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 4 [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 8 [1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 8 [1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 16 [1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 24 [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 12 [1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 24 [1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 36 [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 48 [1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 4 [1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 8 [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 8 [1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 16 [1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 24 [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] => 16 [1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 16 [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 32 [1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 48 [1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 24 [1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 48 [1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 72 [1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 96 [1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 12 [1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 24 [1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 24 [1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 48 [1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 72 [1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 36 [1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 72 [1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 108 [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 144 [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 48 [1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 96 [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 144 [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 192 [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 240 [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] => 12 [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 12 [1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 24 [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 36 [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 12 [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 24 [1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 24 [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 48 [1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 72 [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 36 [1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 72 [1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 108 [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 144 [1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 18 [1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 36 [1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 36 [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 72 [1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 108 [1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 54 [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 108 [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 162 [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 216 [1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 72 [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 144 [1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 216 [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 288 [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 360 [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 24 [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 48 [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 48 [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 96 [1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 144 [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 72 [1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 144 [1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 216 [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 288 [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 96 [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 192 [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 288 [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 384 [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 480 [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 120 [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 240 [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 360 [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 480 [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 600 [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 720 [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 2 [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] => 4 [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 8 [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 12 [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 4 [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 8 [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 8 [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 16 [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 24 [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 12 [1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 24 [1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 36 [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 48 [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 4 [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 8 [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 8 [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 16 [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 24 [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 8 [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 16 [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 16 [1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 32 [1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 48 [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 24 [1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 48 [1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 72 [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 96 [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 12 [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 24 [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 24 [1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 48 [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 72 [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 36 [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 72 [1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 108 [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 144 [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 48 [1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 96 [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 144 [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 192 [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 240 [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 4 [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 8 [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 8 [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 16 [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 24 [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 8 [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 16 [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 16 [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 32 [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 48 [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 24 [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 48 [1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 72 [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 96 [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] => 16 [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 16 [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 32 [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 48 [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 16 [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 32 [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 32 [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 64 [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 96 [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 48 [1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 96 [1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 144 [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 192 [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 24 [1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 48 [1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 48 [1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 96 [1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 144 [1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 72 [1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 144 [1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 216 [1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 288 [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 96 [1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 192 [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 288 [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 384 [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 480 [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 12 [1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 24 [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 24 [1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 48 [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 72 [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 24 [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 48 [1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 48 [1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 96 [1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 144 [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 72 [1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 144 [1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 216 [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 288 [1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 36 [1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 72 [1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 72 [1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 144 [1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 216 [1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 108 [1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 216 [1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 324 [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 432 [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 144 [1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 288 [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 432 [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 576 [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 720 [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 48 [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 96 [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 96 [1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 192 [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 288 [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 144 [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 288 [1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 432 [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 576 [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 192 [1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 384 [1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 576 [1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 768 [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 960 [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 240 [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 480 [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 720 [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 960 [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 1200 [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1440 [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] => 12 [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 12 [1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 24 [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 36 [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 12 [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 24 [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 24 [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 48 [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 72 [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 36 [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 72 [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 108 [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 144 [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 12 [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 24 [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 24 [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 48 [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 72 [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 24 [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 48 [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 48 [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 96 [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 144 [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 72 [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 144 [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 216 [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 288 [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 36 [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 72 [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 72 [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 144 [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 216 [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 108 [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 216 [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 324 [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 432 [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 144 [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 288 [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 432 [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 576 [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 720 [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 18 [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 36 [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 36 [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 72 [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 108 [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 36 [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 72 [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 72 [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 144 [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 216 [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 108 [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 216 [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 324 [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 432 [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 54 [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 108 [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 108 [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 216 [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 324 [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 162 [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 324 [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 486 [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 648 [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 216 [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 432 [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 648 [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 864 [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 1080 [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 72 [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 144 [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 144 [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 288 [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 432 [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 216 [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 432 [1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 648 [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 864 [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 288 [1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 576 [1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 864 [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 1152 [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 1440 [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 360 [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 720 [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 1080 [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 1440 [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 1800 [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 2160 [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 24 [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 48 [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 48 [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 96 [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 144 [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 48 [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 96 [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 96 [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 192 [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 288 [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 144 [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 288 [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 432 [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 576 [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 72 [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 144 [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 144 [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 288 [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 432 [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 216 [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 432 [1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 648 [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 864 [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 288 [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 576 [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 864 [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 1152 [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 1440 [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 96 [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 192 [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 192 [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 384 [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 576 [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 288 [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 576 [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 864 [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 1152 [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 384 [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 768 [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 1152 [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 1536 [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 1920 [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 480 [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 960 [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 1440 [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 1920 [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 2400 [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 2880 [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 120 [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 240 [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 240 [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 480 [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 720 [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 360 [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 720 [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 1080 [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 1440 [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 480 [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 960 [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 1440 [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 1920 [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 2400 [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 600 [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 1200 [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 1800 [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 2400 [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 3000 [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 3600 [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 720 [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 1440 [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 2160 [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 2880 [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 3600 [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 4320 [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 5040 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 2 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 2 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 4 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 6 [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 2 [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 4 [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 4 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 8 [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 12 [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 6 [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] => 18 [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 24 [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 2 [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 4 [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 4 [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 8 [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] => 4 [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 8 [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 8 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 16 [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 24 [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 12 [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 24 [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 36 [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 48 [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 6 [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12 [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 12 [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 24 [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 36 [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 18 [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 36 [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 54 [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 72 [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 24 [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 48 [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 72 [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 96 [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 120 [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] => 4 [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 4 [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 8 [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12 [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 4 [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 8 [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] => 16 [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 24 [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 12 [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 24 [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 36 [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 48 [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] => 8 [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 16 [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 24 [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 8 [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 16 [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 16 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 32 [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 48 [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 24 [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 48 [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 72 [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 96 [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 12 [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 24 [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 24 [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 48 [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 72 [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 36 [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 72 [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 108 [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 144 [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 48 [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 96 [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 144 [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 192 [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 240 [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 6 [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 12 [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 12 [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 24 [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 36 [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 12 [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 24 [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 24 [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 48 [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 72 [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 36 [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 72 [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 108 [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 144 [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 18 [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 36 [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 36 [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 72 [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 108 [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 54 [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 108 [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 162 [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 216 [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 72 [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 144 [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 216 [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 288 [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 360 [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 24 [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 48 [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 48 [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 96 [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 144 [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 72 [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 144 [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 216 [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 288 [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 96 [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 192 [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 288 [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 384 [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 480 [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 120 [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 240 [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 360 [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 480 [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 600 [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 720 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 2 [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 4 [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 4 [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 8 [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 12 [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] => 8 [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 16 [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 24 [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 12 [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 24 [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 36 [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 48 [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 4 [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 8 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 8 [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 16 [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 24 [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] => 16 [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 16 [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 32 [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 48 [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 24 [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 48 [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 72 [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 96 [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 12 [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 24 [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 24 [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 48 [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 72 [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 36 [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 72 [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 108 [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 144 [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 48 [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 96 [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 144 [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 192 [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 240 [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 4 [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 8 [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] => 16 [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 24 [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] => 16 [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 16 [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 32 [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 48 [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 24 [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 48 [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 72 [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 96 [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 8 [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 16 [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 16 [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 32 [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 48 [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 16 [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 32 [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 32 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 64 [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 96 [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 48 [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 96 [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 144 [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 192 [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 24 [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 48 [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 48 [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 96 [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 144 [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 72 [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 144 [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 216 [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 288 [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 96 [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 192 [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 288 [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 384 [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 480 [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 12 [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 24 [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 24 [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 48 [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 72 [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 24 [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 48 [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 48 [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 96 [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 144 [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 72 [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 144 [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 216 [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 288 [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 36 [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 72 [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 72 [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 144 [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 216 [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 108 [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 216 [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 324 [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 432 [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 144 [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 288 [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 432 [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 576 [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 720 [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 48 [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 96 [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 96 [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 192 [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 288 [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 144 [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 288 [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 432 [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 576 [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 192 [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 384 [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 576 [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 768 [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 960 [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 240 [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 480 [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 720 [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 960 [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 1200 [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1440 [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] => 12 [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 12 [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 24 [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 36 [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 12 [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 24 [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 24 [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 48 [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 72 [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 36 [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 72 [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 108 [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 144 [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 12 [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 24 [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 24 [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 48 [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 72 [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 24 [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 48 [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 48 [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 96 [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 144 [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 72 [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 144 [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 216 [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 288 [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 36 [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 72 [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 72 [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 144 [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 216 [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 108 [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 216 [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 324 [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 432 [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 144 [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 288 [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 432 [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 576 [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 720 [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 18 [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 36 [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 36 [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 72 [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 108 [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 36 [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 72 [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 72 [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 144 [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 216 [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 108 [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 216 [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 324 [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 432 [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 54 [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 108 [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 108 [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 216 [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 324 [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 162 [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 324 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 486 [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 648 [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 216 [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 432 [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 648 [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 864 [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 1080 [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 72 [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 144 [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 144 [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 288 [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 432 [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 216 [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 432 [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 648 [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 864 [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 288 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 576 [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 864 [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 1152 [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 1440 [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 360 [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 720 [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 1080 [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 1440 [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 1800 [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 2160 [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 24 [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 48 [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 48 [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 96 [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 144 [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 48 [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 96 [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 96 [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 192 [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 288 [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 144 [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 288 [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 432 [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 576 [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 72 [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 144 [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 144 [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 288 [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 432 [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 216 [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 432 [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 648 [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 864 [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 288 [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 576 [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 864 [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 1152 [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 1440 [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 96 [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 192 [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 192 [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 384 [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 576 [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 288 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 576 [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 864 [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 1152 [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 384 [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 768 [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 1152 [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 1536 [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 1920 [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 480 [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 960 [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 1440 [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 1920 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 2400 [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 2880 [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 120 [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 240 [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 240 [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 480 [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 720 [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 360 [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 720 [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 1080 [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 1440 [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 480 [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 960 [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 1440 [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 1920 [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 2400 [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 600 [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 1200 [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 1800 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 2400 [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 3000 [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 3600 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 720 [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 1440 [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 2160 [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 2880 [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 3600 [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 4320 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 5040 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 2 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 4 [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] => 12 [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 4 [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 8 [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] => 16 [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => 24 [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 12 [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => 24 [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => 36 [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 48 [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 4 [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 8 [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 8 [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => 16 [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 24 [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] => 16 [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => 16 [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => 32 [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => 48 [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => 24 [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => 48 [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => 72 [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => 96 [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 12 [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 24 [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => 24 [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => 48 [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => 72 [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => 36 [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => 72 [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => 108 [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => 144 [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 48 [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => 96 [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => 144 [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => 192 [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 240 [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 4 [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 8 [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 8 [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => 16 [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 24 [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 8 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 16 [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 16 [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => 32 [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => 48 [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 24 [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 48 [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => 72 [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 96 [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] => 16 [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 16 [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 32 [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 48 [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 16 [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 32 [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => 32 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => 64 [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => 96 [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => 48 [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => 96 [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => 144 [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => 192 [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 24 [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 48 [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 48 [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => 96 [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => 144 [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => 72 [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => 144 [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => 216 [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => 288 [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => 96 [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => 192 [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => 288 [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => 384 [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => 480 [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 12 [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 24 [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 24 [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 48 [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 72 [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 24 [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 48 [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 48 [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => 96 [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => 144 [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 72 [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 144 [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => 216 [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => 288 [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 36 [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 72 [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 72 [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => 144 [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => 216 [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => 108 [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => 216 [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => 324 [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => 432 [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => 144 [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => 288 [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => 432 [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => 576 [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => 720 [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 48 [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 96 [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 96 [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => 192 [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => 288 [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 144 [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 288 [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => 432 [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => 576 [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => 192 [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => 384 [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => 576 [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => 768 [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => 960 [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 240 [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => 480 [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => 720 [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => 960 [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => 1200 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1440 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 4 [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => 8 [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] => 16 [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => 24 [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] => 16 [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 16 [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => 32 [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => 48 [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 24 [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 48 [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => 72 [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => 96 ----------------------------------------------------------------------------- Created: Feb 18, 2013 at 18:06 by Alejandro Morales ----------------------------------------------------------------------------- Last Updated: May 29, 2015 at 15:59 by Martin Rubey