***************************************************************************** * 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: St001348 ----------------------------------------------------------------------------- Collection: Dyck paths ----------------------------------------------------------------------------- Description: The bounce of the parallelogram polyomino associated with the Dyck path. A bijection due to Delest and Viennot [1] associates a Dyck path with a parallelogram polyomino. The bounce statistic is defined in [2]. ----------------------------------------------------------------------------- References: [1] Delest, M.-P., Viennot, Gérard Algebraic languages and polyominoes enumeration [[MathSciNet:0774044]] [2] Aval, J.-C., D'Adderio, M., Dukes, M., Hicks, A., Le Borgne, Y. Statistics on parallelogram polyominoes and a q,t-analogue of the Narayana numbers [[arXiv:1301.4803]] ----------------------------------------------------------------------------- Code: def statistic(D): return ParallelogramPolyomino.from_dyck_word(D).bounce() ----------------------------------------------------------------------------- Statistic values: [1,0] => 1 [1,0,1,0] => 2 [1,1,0,0] => 2 [1,0,1,0,1,0] => 3 [1,0,1,1,0,0] => 4 [1,1,0,0,1,0] => 3 [1,1,0,1,0,0] => 3 [1,1,1,0,0,0] => 3 [1,0,1,0,1,0,1,0] => 4 [1,0,1,0,1,1,0,0] => 5 [1,0,1,1,0,0,1,0] => 6 [1,0,1,1,0,1,0,0] => 6 [1,0,1,1,1,0,0,0] => 5 [1,1,0,0,1,0,1,0] => 4 [1,1,0,0,1,1,0,0] => 5 [1,1,0,1,0,0,1,0] => 4 [1,1,0,1,0,1,0,0] => 4 [1,1,0,1,1,0,0,0] => 4 [1,1,1,0,0,0,1,0] => 4 [1,1,1,0,0,1,0,0] => 5 [1,1,1,0,1,0,0,0] => 4 [1,1,1,1,0,0,0,0] => 4 [1,0,1,0,1,0,1,0,1,0] => 5 [1,0,1,0,1,0,1,1,0,0] => 6 [1,0,1,0,1,1,0,0,1,0] => 7 [1,0,1,0,1,1,0,1,0,0] => 7 [1,0,1,0,1,1,1,0,0,0] => 6 [1,0,1,1,0,0,1,0,1,0] => 8 [1,0,1,1,0,0,1,1,0,0] => 9 [1,0,1,1,0,1,0,0,1,0] => 8 [1,0,1,1,0,1,0,1,0,0] => 8 [1,0,1,1,0,1,1,0,0,0] => 8 [1,0,1,1,1,0,0,0,1,0] => 7 [1,0,1,1,1,0,0,1,0,0] => 7 [1,0,1,1,1,0,1,0,0,0] => 6 [1,0,1,1,1,1,0,0,0,0] => 7 [1,1,0,0,1,0,1,0,1,0] => 5 [1,1,0,0,1,0,1,1,0,0] => 6 [1,1,0,0,1,1,0,0,1,0] => 7 [1,1,0,0,1,1,0,1,0,0] => 7 [1,1,0,0,1,1,1,0,0,0] => 6 [1,1,0,1,0,0,1,0,1,0] => 5 [1,1,0,1,0,0,1,1,0,0] => 6 [1,1,0,1,0,1,0,0,1,0] => 5 [1,1,0,1,0,1,0,1,0,0] => 5 [1,1,0,1,0,1,1,0,0,0] => 5 [1,1,0,1,1,0,0,0,1,0] => 5 [1,1,0,1,1,0,0,1,0,0] => 6 [1,1,0,1,1,0,1,0,0,0] => 5 [1,1,0,1,1,1,0,0,0,0] => 5 [1,1,1,0,0,0,1,0,1,0] => 5 [1,1,1,0,0,0,1,1,0,0] => 6 [1,1,1,0,0,1,0,0,1,0] => 7 [1,1,1,0,0,1,0,1,0,0] => 7 [1,1,1,0,0,1,1,0,0,0] => 6 [1,1,1,0,1,0,0,0,1,0] => 5 [1,1,1,0,1,0,0,1,0,0] => 6 [1,1,1,0,1,0,1,0,0,0] => 5 [1,1,1,0,1,1,0,0,0,0] => 6 [1,1,1,1,0,0,0,0,1,0] => 5 [1,1,1,1,0,0,0,1,0,0] => 6 [1,1,1,1,0,0,1,0,0,0] => 5 [1,1,1,1,0,1,0,0,0,0] => 5 [1,1,1,1,1,0,0,0,0,0] => 5 [1,0,1,0,1,0,1,0,1,0,1,0] => 6 [1,0,1,0,1,0,1,0,1,1,0,0] => 7 [1,0,1,0,1,0,1,1,0,0,1,0] => 8 [1,0,1,0,1,0,1,1,0,1,0,0] => 8 [1,0,1,0,1,0,1,1,1,0,0,0] => 7 [1,0,1,0,1,1,0,0,1,0,1,0] => 9 [1,0,1,0,1,1,0,0,1,1,0,0] => 10 [1,0,1,0,1,1,0,1,0,0,1,0] => 9 [1,0,1,0,1,1,0,1,0,1,0,0] => 9 [1,0,1,0,1,1,0,1,1,0,0,0] => 9 [1,0,1,0,1,1,1,0,0,0,1,0] => 8 [1,0,1,0,1,1,1,0,0,1,0,0] => 8 [1,0,1,0,1,1,1,0,1,0,0,0] => 7 [1,0,1,0,1,1,1,1,0,0,0,0] => 8 [1,0,1,1,0,0,1,0,1,0,1,0] => 10 [1,0,1,1,0,0,1,0,1,1,0,0] => 11 [1,0,1,1,0,0,1,1,0,0,1,0] => 12 [1,0,1,1,0,0,1,1,0,1,0,0] => 12 [1,0,1,1,0,0,1,1,1,0,0,0] => 11 [1,0,1,1,0,1,0,0,1,0,1,0] => 10 [1,0,1,1,0,1,0,0,1,1,0,0] => 11 [1,0,1,1,0,1,0,1,0,0,1,0] => 10 [1,0,1,1,0,1,0,1,0,1,0,0] => 10 [1,0,1,1,0,1,0,1,1,0,0,0] => 10 [1,0,1,1,0,1,1,0,0,0,1,0] => 10 [1,0,1,1,0,1,1,0,0,1,0,0] => 11 [1,0,1,1,0,1,1,0,1,0,0,0] => 10 [1,0,1,1,0,1,1,1,0,0,0,0] => 10 [1,0,1,1,1,0,0,0,1,0,1,0] => 9 [1,0,1,1,1,0,0,0,1,1,0,0] => 10 [1,0,1,1,1,0,0,1,0,0,1,0] => 9 [1,0,1,1,1,0,0,1,0,1,0,0] => 9 [1,0,1,1,1,0,0,1,1,0,0,0] => 9 [1,0,1,1,1,0,1,0,0,0,1,0] => 8 [1,0,1,1,1,0,1,0,0,1,0,0] => 8 [1,0,1,1,1,0,1,0,1,0,0,0] => 7 [1,0,1,1,1,0,1,1,0,0,0,0] => 8 [1,0,1,1,1,1,0,0,0,0,1,0] => 9 [1,0,1,1,1,1,0,0,0,1,0,0] => 9 [1,0,1,1,1,1,0,0,1,0,0,0] => 9 [1,0,1,1,1,1,0,1,0,0,0,0] => 9 [1,0,1,1,1,1,1,0,0,0,0,0] => 8 [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] => 7 [1,1,0,0,1,0,1,1,0,0,1,0] => 8 [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] => 7 [1,1,0,0,1,1,0,0,1,0,1,0] => 9 [1,1,0,0,1,1,0,0,1,1,0,0] => 10 [1,1,0,0,1,1,0,1,0,0,1,0] => 9 [1,1,0,0,1,1,0,1,0,1,0,0] => 9 [1,1,0,0,1,1,0,1,1,0,0,0] => 9 [1,1,0,0,1,1,1,0,0,0,1,0] => 8 [1,1,0,0,1,1,1,0,0,1,0,0] => 8 [1,1,0,0,1,1,1,0,1,0,0,0] => 7 [1,1,0,0,1,1,1,1,0,0,0,0] => 8 [1,1,0,1,0,0,1,0,1,0,1,0] => 6 [1,1,0,1,0,0,1,0,1,1,0,0] => 7 [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] => 8 [1,1,0,1,0,0,1,1,1,0,0,0] => 7 [1,1,0,1,0,1,0,0,1,0,1,0] => 6 [1,1,0,1,0,1,0,0,1,1,0,0] => 7 [1,1,0,1,0,1,0,1,0,0,1,0] => 6 [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] => 6 [1,1,0,1,0,1,1,0,0,0,1,0] => 6 [1,1,0,1,0,1,1,0,0,1,0,0] => 7 [1,1,0,1,0,1,1,0,1,0,0,0] => 6 [1,1,0,1,0,1,1,1,0,0,0,0] => 6 [1,1,0,1,1,0,0,0,1,0,1,0] => 6 [1,1,0,1,1,0,0,0,1,1,0,0] => 7 [1,1,0,1,1,0,0,1,0,0,1,0] => 8 [1,1,0,1,1,0,0,1,0,1,0,0] => 8 [1,1,0,1,1,0,0,1,1,0,0,0] => 7 [1,1,0,1,1,0,1,0,0,0,1,0] => 6 [1,1,0,1,1,0,1,0,0,1,0,0] => 7 [1,1,0,1,1,0,1,0,1,0,0,0] => 6 [1,1,0,1,1,0,1,1,0,0,0,0] => 7 [1,1,0,1,1,1,0,0,0,0,1,0] => 6 [1,1,0,1,1,1,0,0,0,1,0,0] => 7 [1,1,0,1,1,1,0,0,1,0,0,0] => 6 [1,1,0,1,1,1,0,1,0,0,0,0] => 6 [1,1,0,1,1,1,1,0,0,0,0,0] => 6 [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] => 7 [1,1,1,0,0,0,1,1,0,0,1,0] => 8 [1,1,1,0,0,0,1,1,0,1,0,0] => 8 [1,1,1,0,0,0,1,1,1,0,0,0] => 7 [1,1,1,0,0,1,0,0,1,0,1,0] => 9 [1,1,1,0,0,1,0,0,1,1,0,0] => 10 [1,1,1,0,0,1,0,1,0,0,1,0] => 9 [1,1,1,0,0,1,0,1,0,1,0,0] => 9 [1,1,1,0,0,1,0,1,1,0,0,0] => 9 [1,1,1,0,0,1,1,0,0,0,1,0] => 8 [1,1,1,0,0,1,1,0,0,1,0,0] => 8 [1,1,1,0,0,1,1,0,1,0,0,0] => 7 [1,1,1,0,0,1,1,1,0,0,0,0] => 8 [1,1,1,0,1,0,0,0,1,0,1,0] => 6 [1,1,1,0,1,0,0,0,1,1,0,0] => 7 [1,1,1,0,1,0,0,1,0,0,1,0] => 8 [1,1,1,0,1,0,0,1,0,1,0,0] => 8 [1,1,1,0,1,0,0,1,1,0,0,0] => 7 [1,1,1,0,1,0,1,0,0,0,1,0] => 6 [1,1,1,0,1,0,1,0,0,1,0,0] => 7 [1,1,1,0,1,0,1,0,1,0,0,0] => 6 [1,1,1,0,1,0,1,1,0,0,0,0] => 7 [1,1,1,0,1,1,0,0,0,0,1,0] => 8 [1,1,1,0,1,1,0,0,0,1,0,0] => 8 [1,1,1,0,1,1,0,0,1,0,0,0] => 7 [1,1,1,0,1,1,0,1,0,0,0,0] => 8 [1,1,1,0,1,1,1,0,0,0,0,0] => 7 [1,1,1,1,0,0,0,0,1,0,1,0] => 6 [1,1,1,1,0,0,0,0,1,1,0,0] => 7 [1,1,1,1,0,0,0,1,0,0,1,0] => 8 [1,1,1,1,0,0,0,1,0,1,0,0] => 8 [1,1,1,1,0,0,0,1,1,0,0,0] => 7 [1,1,1,1,0,0,1,0,0,0,1,0] => 6 [1,1,1,1,0,0,1,0,0,1,0,0] => 7 [1,1,1,1,0,0,1,0,1,0,0,0] => 6 [1,1,1,1,0,0,1,1,0,0,0,0] => 7 [1,1,1,1,0,1,0,0,0,0,1,0] => 6 [1,1,1,1,0,1,0,0,0,1,0,0] => 7 [1,1,1,1,0,1,0,0,1,0,0,0] => 6 [1,1,1,1,0,1,0,1,0,0,0,0] => 6 [1,1,1,1,0,1,1,0,0,0,0,0] => 6 [1,1,1,1,1,0,0,0,0,0,1,0] => 6 [1,1,1,1,1,0,0,0,0,1,0,0] => 7 [1,1,1,1,1,0,0,0,1,0,0,0] => 6 [1,1,1,1,1,0,0,1,0,0,0,0] => 7 [1,1,1,1,1,0,1,0,0,0,0,0] => 6 [1,1,1,1,1,1,0,0,0,0,0,0] => 6 [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7 [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 8 [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 9 [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 9 [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] => 10 [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 11 [1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 10 [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 10 [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] => 9 [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] => 8 [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] => 11 [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12 [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13 [1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 13 [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] => 11 [1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 12 [1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 11 [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 11 [1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 11 [1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 11 [1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 12 [1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 11 [1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 11 [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 10 [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11 [1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 10 [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 10 [1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 10 [1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 9 [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 9 [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] => 10 [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 10 [1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 10 [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 10 [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 9 [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 12 [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13 [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14 [1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 14 [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 13 [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15 [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 16 [1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 15 [1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 15 [1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 15 [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14 [1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 14 [1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 13 [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 14 [1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 12 [1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 13 [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 14 [1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 14 [1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 13 [1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 12 [1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 13 [1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 12 [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 12 [1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 12 [1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 12 [1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 13 [1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 12 [1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 12 [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] => 13 [1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 14 [1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 14 [1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 13 [1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 12 [1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 13 [1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 12 [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 13 [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 12 [1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 13 [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 12 [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 12 [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 12 [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 11 [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] => 13 [1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 13 [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 12 [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 11 [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 12 [1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 11 [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 11 [1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 11 [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 11 [1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 12 [1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 11 [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 11 [1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 10 [1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 11 [1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 10 [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 10 [1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 10 [1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 9 [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 9 [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 8 [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 9 [1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 10 [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 10 [1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 10 [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 10 [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 9 [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 11 [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 12 [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 11 [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 11 [1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 11 [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 11 [1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 12 [1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 11 [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 11 [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 11 [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 11 [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 11 [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 11 [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 11 [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10 [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 10 [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 10 [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 10 [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 9 [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 10 [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 7 [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 8 [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 9 [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 9 [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 8 [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 10 [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 11 [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 10 [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 10 [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 10 [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 9 [1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 9 [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] => 9 [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 11 [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 12 [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 13 [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 13 [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 12 [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 11 [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 12 [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 11 [1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 11 [1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 11 [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 11 [1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 12 [1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 11 [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 11 [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 10 [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 11 [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 10 [1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 10 [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 10 [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 9 [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 9 [1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 8 [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 9 [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 10 [1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 10 [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 10 [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 10 [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 9 [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 7 [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 8 [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 9 [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 9 [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 8 [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 10 [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 11 [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 10 [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 10 [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 10 [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 9 [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 9 [1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 8 [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 9 [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 7 [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 8 [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 9 [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 9 [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 8 [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 7 [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 8 [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 7 [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7 [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 7 [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 7 [1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 8 [1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 7 [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 7 [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 7 [1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 8 [1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 9 [1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 9 [1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 8 [1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 7 [1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 8 [1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 7 [1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 8 [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 7 [1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 8 [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 7 [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 7 [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 7 [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 7 [1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 8 [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 9 [1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 9 [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 8 [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 10 [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 11 [1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 10 [1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 10 [1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 10 [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 9 [1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 9 [1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 8 [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 9 [1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 7 [1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 8 [1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 9 [1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 9 [1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 8 [1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 7 [1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 8 [1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 7 [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 8 [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 9 [1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 9 [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 8 [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 9 [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 8 [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 7 [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 8 [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 9 [1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 9 [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 8 [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 7 [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 8 [1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 7 [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 8 [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 7 [1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 8 [1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 7 [1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 7 [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 7 [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 7 [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 8 [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 7 [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 8 [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 7 [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 7 [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 7 [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 8 [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 9 [1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 9 [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 8 [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 10 [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11 [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 10 [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 10 [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 10 [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9 [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 9 [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 8 [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 9 [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 11 [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 12 [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 13 [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 13 [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 12 [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 11 [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 12 [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 11 [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 11 [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 11 [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 11 [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 12 [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 11 [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 11 [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 10 [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 11 [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 10 [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 10 [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 10 [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 9 [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 9 [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 8 [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 9 [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 10 [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 10 [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 10 [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 10 [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 9 [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 7 [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 8 [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 9 [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 9 [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 8 [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 10 [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 11 [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 10 [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 10 [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 10 [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 9 [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 9 [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 8 [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 9 [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 7 [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 8 [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 9 [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 9 [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 8 [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 7 [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 8 [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 7 [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 8 [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 9 [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 9 [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 8 [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 9 [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 8 [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 10 [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 11 [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 10 [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 10 [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 10 [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 9 [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 9 [1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 8 [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 9 [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 10 [1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 10 [1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 10 [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 10 [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 9 [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 9 [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 9 [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 8 [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 9 [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 8 [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 9 [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 7 [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 8 [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 9 [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 9 [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 8 [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 10 [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 11 [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 10 [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 10 [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 10 [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 9 [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 9 [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 8 [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 9 [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 7 [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 8 [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 9 [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 9 [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 8 [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 7 [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 8 [1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 7 [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 8 [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 9 [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 9 [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 8 [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 9 [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 8 [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 7 [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 8 [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 9 [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 9 [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 8 [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 7 [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 8 [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 7 [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 8 [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 7 [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 8 [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 7 [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 7 [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 7 [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 7 [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 8 [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 7 [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 8 [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 7 [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 7 [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 7 [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 8 [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 9 [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 9 [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 8 [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 7 [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 8 [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 7 [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 8 [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 9 [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 9 [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 8 [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 9 [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 8 [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 7 [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 8 [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 7 [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 8 [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 7 [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 8 [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 7 [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 8 [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 7 [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 8 [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 7 [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 7 [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 7 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 9 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 10 [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] => 9 [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 11 [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 12 [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 11 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 11 [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 11 [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] => 10 [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 9 [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 10 [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 12 [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 13 [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 14 [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 14 [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 13 [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 12 [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 13 [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 12 [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] => 12 [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] => 13 [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 12 [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 12 [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 11 [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] => 11 [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 11 [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 11 [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 10 [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 10 [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 9 [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 10 [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] => 11 [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 11 [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 11 [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 10 [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 13 [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 14 [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 15 [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 15 [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 14 [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 16 [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 17 [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 16 [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] => 16 [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 15 [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 15 [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 14 [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 15 [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 13 [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 14 [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 15 [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 15 [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 14 [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 13 [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 14 [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 13 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 13 [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] => 13 [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 14 [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 13 [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 13 [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 13 [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 14 [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 15 [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 15 [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 14 [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 13 [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 14 [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] => 13 [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 14 [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] => 12 [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13 [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14 [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 14 [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 13 [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] => 13 [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 12 [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 12 [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] => 12 [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 13 [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] => 12 [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 11 [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 12 [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 11 [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 11 [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] => 10 [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] => 9 [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 10 [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 11 [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 11 [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] => 11 [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 10 [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 12 [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 13 [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 12 [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] => 12 [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 13 [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 12 [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 12 [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 12 [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] => 12 [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 12 [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 12 [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] => 11 [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] => 11 [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] => 11 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 14 [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 15 [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 16 [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 16 [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 15 [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 17 [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 18 [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 17 [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 17 [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 17 [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 16 [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 16 [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 15 [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 16 [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 18 [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 19 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 20 [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 20 [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 19 [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 18 [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 19 [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 18 [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 18 [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 18 [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 18 [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 19 [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 18 [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 18 [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17 [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 18 [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 17 [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 17 [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 17 [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 16 [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 16 [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 15 [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 16 [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 17 [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 17 [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 17 [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 17 [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 16 [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 14 [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 15 [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 16 [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] => 15 [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 17 [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 18 [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 17 [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 17 [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 17 [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 16 [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 16 [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 15 [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 16 [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 14 [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 15 [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] => 16 [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 15 [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 14 [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 15 [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 14 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 14 [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 14 [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 14 [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 15 [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 14 [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 14 [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 14 [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 15 [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 16 [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 16 [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 15 [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 14 [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 15 [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 14 [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 15 [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 14 [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 15 [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 14 [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 14 [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 14 [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 14 [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 15 [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 16 [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 16 [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 15 [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 17 [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 18 [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 17 [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 17 [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 17 [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 16 [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 16 [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 15 [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 16 [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 14 [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 15 [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 16 [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 16 [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 15 [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 14 [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 15 [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 14 [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 15 [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 16 [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 16 [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 15 [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 16 [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 15 [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 14 [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 15 [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 16 [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 16 [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 15 [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 14 [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 15 [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 14 [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 15 [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 14 [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 15 [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 14 [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 14 [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 14 [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 14 [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 15 [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 14 [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 15 [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 14 [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 14 [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 13 [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 14 [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 15 [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 15 [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 14 [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 16 [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 17 [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 16 [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 16 [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 16 [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 15 [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 15 [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 14 [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 15 [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 13 [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 14 [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 15 [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 15 [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 14 [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 13 [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 14 [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 13 [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 13 [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 13 [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 13 [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 14 [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 13 [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 13 [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 13 [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 14 [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 15 [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 15 [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 14 [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 13 [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 14 [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 13 [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 14 [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 13 [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 14 [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 13 [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 13 [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 13 [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 12 [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 13 [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 14 [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 14 [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 13 [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 12 [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 13 [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 12 [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 12 [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 12 [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 12 [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 13 [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 12 [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 12 [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 11 [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 12 [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 11 [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 11 [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 11 [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 10 [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 10 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 9 [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 10 [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] => 11 [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 11 [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 11 [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] => 12 [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 13 [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 12 [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 12 [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 12 [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 12 [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 13 [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 12 [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 12 [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 12 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 12 [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 12 [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 12 [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 12 [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] => 11 [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 11 [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 11 [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 10 [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 11 [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 13 [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 14 [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 15 [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 15 [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 14 [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 13 [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 14 [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 13 [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 13 [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 13 [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 13 [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 14 [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 13 [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 13 [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 13 [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 14 [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 15 [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 15 [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 14 [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 13 [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 14 [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 13 [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 14 [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 13 [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 14 [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 13 [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 13 [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 13 [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 13 [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 14 [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 13 [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 13 [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 13 [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 13 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 14 [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 13 [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 13 [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 13 [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 13 [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 13 [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 13 [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 13 [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 13 [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 14 [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 13 [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 13 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 13 [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 13 [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 12 [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 13 [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 12 [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 12 [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 12 [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 12 [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 13 [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 12 [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 12 [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 12 [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 12 [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 12 [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 12 [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 12 [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 11 [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 11 [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 11 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 11 [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 10 [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 11 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 12 [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 12 [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 12 [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 12 [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 12 [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 12 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 11 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 9 [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 10 [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 10 [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] => 11 [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 12 [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => 11 [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => 11 [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] => 10 [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] => 9 [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 10 [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 12 [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 13 [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 14 [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => 14 [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 13 [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => 12 [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => 13 [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => 12 [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => 12 [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => 12 [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => 12 [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => 13 [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] => 11 [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12 [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => 11 [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => 11 [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] => 9 [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => 10 [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 11 [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] => 10 [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 13 [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 14 [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 15 [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => 15 [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 14 [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 16 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 17 [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] => 16 [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => 16 [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 15 [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 15 [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => 14 [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 15 [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 13 [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 14 [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 15 [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 15 [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 14 [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 13 [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 14 [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => 13 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => 13 [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => 13 [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => 13 [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => 14 [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => 13 [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => 13 [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 13 [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 14 [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 15 [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => 15 [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => 14 [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => 13 [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => 14 [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => 13 [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => 14 [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => 13 [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => 14 [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => 13 [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => 13 [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => 13 [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] => 13 [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14 [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 14 [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 13 [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 12 [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 13 [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 12 [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => 12 [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => 12 [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 12 [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 13 [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => 12 [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => 12 [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 11 [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 12 [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 11 [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => 11 [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => 11 [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] => 10 [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] => 10 [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] => 11 [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => 11 [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] => 10 [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 12 [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 13 [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 12 [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => 12 [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => 12 [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 12 [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 13 [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => 12 [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => 12 [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => 12 [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => 12 [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => 12 [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => 12 [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => 12 [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 11 [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => 11 [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => 11 [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => 11 [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => 10 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 11 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 8 [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => 9 [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => 10 [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => 10 [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => 9 [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 11 [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 12 [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 11 [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => 11 [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => 11 [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 10 [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 10 [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => 9 [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => 10 ----------------------------------------------------------------------------- Created: Jan 26, 2019 at 16:12 by Martin Rubey ----------------------------------------------------------------------------- Last Updated: Jan 26, 2019 at 16:12 by Martin Rubey