***************************************************************************** * 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: St000032 ----------------------------------------------------------------------------- Collection: Dyck paths ----------------------------------------------------------------------------- Description: The number of elements smaller than the given Dyck path in the Tamari Order. ----------------------------------------------------------------------------- References: [1] [[wikipedia:Tamari_lattice]] [2] Pons, V., Chatel, G. Counting smaller trees in the Tamari order [[arXiv:1212.0751]] ----------------------------------------------------------------------------- Code: def statistic(x): return len(x.to_binary_tree_tamari().tamari_smaller()) ----------------------------------------------------------------------------- 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] => 3 [1,1,1,0,0,0] => 5 [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] => 3 [1,0,1,1,1,0,0,0] => 5 [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] => 3 [1,1,0,1,0,1,0,0] => 4 [1,1,0,1,1,0,0,0] => 7 [1,1,1,0,0,0,1,0] => 5 [1,1,1,0,0,1,0,0] => 7 [1,1,1,0,1,0,0,0] => 9 [1,1,1,1,0,0,0,0] => 14 [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] => 3 [1,0,1,0,1,1,1,0,0,0] => 5 [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] => 3 [1,0,1,1,0,1,0,1,0,0] => 4 [1,0,1,1,0,1,1,0,0,0] => 7 [1,0,1,1,1,0,0,0,1,0] => 5 [1,0,1,1,1,0,0,1,0,0] => 7 [1,0,1,1,1,0,1,0,0,0] => 9 [1,0,1,1,1,1,0,0,0,0] => 14 [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] => 6 [1,1,0,0,1,1,1,0,0,0] => 10 [1,1,0,1,0,0,1,0,1,0] => 3 [1,1,0,1,0,0,1,1,0,0] => 6 [1,1,0,1,0,1,0,0,1,0] => 4 [1,1,0,1,0,1,0,1,0,0] => 5 [1,1,0,1,0,1,1,0,0,0] => 9 [1,1,0,1,1,0,0,0,1,0] => 7 [1,1,0,1,1,0,0,1,0,0] => 9 [1,1,0,1,1,0,1,0,0,0] => 12 [1,1,0,1,1,1,0,0,0,0] => 19 [1,1,1,0,0,0,1,0,1,0] => 5 [1,1,1,0,0,0,1,1,0,0] => 10 [1,1,1,0,0,1,0,0,1,0] => 7 [1,1,1,0,0,1,0,1,0,0] => 9 [1,1,1,0,0,1,1,0,0,0] => 16 [1,1,1,0,1,0,0,0,1,0] => 9 [1,1,1,0,1,0,0,1,0,0] => 12 [1,1,1,0,1,0,1,0,0,0] => 14 [1,1,1,0,1,1,0,0,0,0] => 23 [1,1,1,1,0,0,0,0,1,0] => 14 [1,1,1,1,0,0,0,1,0,0] => 19 [1,1,1,1,0,0,1,0,0,0] => 23 [1,1,1,1,0,1,0,0,0,0] => 28 [1,1,1,1,1,0,0,0,0,0] => 42 [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] => 3 [1,0,1,0,1,0,1,1,1,0,0,0] => 5 [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] => 3 [1,0,1,0,1,1,0,1,0,1,0,0] => 4 [1,0,1,0,1,1,0,1,1,0,0,0] => 7 [1,0,1,0,1,1,1,0,0,0,1,0] => 5 [1,0,1,0,1,1,1,0,0,1,0,0] => 7 [1,0,1,0,1,1,1,0,1,0,0,0] => 9 [1,0,1,0,1,1,1,1,0,0,0,0] => 14 [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] => 6 [1,0,1,1,0,0,1,1,1,0,0,0] => 10 [1,0,1,1,0,1,0,0,1,0,1,0] => 3 [1,0,1,1,0,1,0,0,1,1,0,0] => 6 [1,0,1,1,0,1,0,1,0,0,1,0] => 4 [1,0,1,1,0,1,0,1,0,1,0,0] => 5 [1,0,1,1,0,1,0,1,1,0,0,0] => 9 [1,0,1,1,0,1,1,0,0,0,1,0] => 7 [1,0,1,1,0,1,1,0,0,1,0,0] => 9 [1,0,1,1,0,1,1,0,1,0,0,0] => 12 [1,0,1,1,0,1,1,1,0,0,0,0] => 19 [1,0,1,1,1,0,0,0,1,0,1,0] => 5 [1,0,1,1,1,0,0,0,1,1,0,0] => 10 [1,0,1,1,1,0,0,1,0,0,1,0] => 7 [1,0,1,1,1,0,0,1,0,1,0,0] => 9 [1,0,1,1,1,0,0,1,1,0,0,0] => 16 [1,0,1,1,1,0,1,0,0,0,1,0] => 9 [1,0,1,1,1,0,1,0,0,1,0,0] => 12 [1,0,1,1,1,0,1,0,1,0,0,0] => 14 [1,0,1,1,1,0,1,1,0,0,0,0] => 23 [1,0,1,1,1,1,0,0,0,0,1,0] => 14 [1,0,1,1,1,1,0,0,0,1,0,0] => 19 [1,0,1,1,1,1,0,0,1,0,0,0] => 23 [1,0,1,1,1,1,0,1,0,0,0,0] => 28 [1,0,1,1,1,1,1,0,0,0,0,0] => 42 [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] => 6 [1,1,0,0,1,0,1,1,1,0,0,0] => 10 [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] => 6 [1,1,0,0,1,1,0,1,0,1,0,0] => 8 [1,1,0,0,1,1,0,1,1,0,0,0] => 14 [1,1,0,0,1,1,1,0,0,0,1,0] => 10 [1,1,0,0,1,1,1,0,0,1,0,0] => 14 [1,1,0,0,1,1,1,0,1,0,0,0] => 18 [1,1,0,0,1,1,1,1,0,0,0,0] => 28 [1,1,0,1,0,0,1,0,1,0,1,0] => 3 [1,1,0,1,0,0,1,0,1,1,0,0] => 6 [1,1,0,1,0,0,1,1,0,0,1,0] => 6 [1,1,0,1,0,0,1,1,0,1,0,0] => 9 [1,1,0,1,0,0,1,1,1,0,0,0] => 15 [1,1,0,1,0,1,0,0,1,0,1,0] => 4 [1,1,0,1,0,1,0,0,1,1,0,0] => 8 [1,1,0,1,0,1,0,1,0,0,1,0] => 5 [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] => 11 [1,1,0,1,0,1,1,0,0,0,1,0] => 9 [1,1,0,1,0,1,1,0,0,1,0,0] => 11 [1,1,0,1,0,1,1,0,1,0,0,0] => 15 [1,1,0,1,0,1,1,1,0,0,0,0] => 24 [1,1,0,1,1,0,0,0,1,0,1,0] => 7 [1,1,0,1,1,0,0,0,1,1,0,0] => 14 [1,1,0,1,1,0,0,1,0,0,1,0] => 9 [1,1,0,1,1,0,0,1,0,1,0,0] => 11 [1,1,0,1,1,0,0,1,1,0,0,0] => 20 [1,1,0,1,1,0,1,0,0,0,1,0] => 12 [1,1,0,1,1,0,1,0,0,1,0,0] => 15 [1,1,0,1,1,0,1,0,1,0,0,0] => 18 [1,1,0,1,1,0,1,1,0,0,0,0] => 30 [1,1,0,1,1,1,0,0,0,0,1,0] => 19 [1,1,0,1,1,1,0,0,0,1,0,0] => 24 [1,1,0,1,1,1,0,0,1,0,0,0] => 30 [1,1,0,1,1,1,0,1,0,0,0,0] => 37 [1,1,0,1,1,1,1,0,0,0,0,0] => 56 [1,1,1,0,0,0,1,0,1,0,1,0] => 5 [1,1,1,0,0,0,1,0,1,1,0,0] => 10 [1,1,1,0,0,0,1,1,0,0,1,0] => 10 [1,1,1,0,0,0,1,1,0,1,0,0] => 15 [1,1,1,0,0,0,1,1,1,0,0,0] => 25 [1,1,1,0,0,1,0,0,1,0,1,0] => 7 [1,1,1,0,0,1,0,0,1,1,0,0] => 14 [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] => 11 [1,1,1,0,0,1,0,1,1,0,0,0] => 20 [1,1,1,0,0,1,1,0,0,0,1,0] => 16 [1,1,1,0,0,1,1,0,0,1,0,0] => 20 [1,1,1,0,0,1,1,0,1,0,0,0] => 27 [1,1,1,0,0,1,1,1,0,0,0,0] => 43 [1,1,1,0,1,0,0,0,1,0,1,0] => 9 [1,1,1,0,1,0,0,0,1,1,0,0] => 18 [1,1,1,0,1,0,0,1,0,0,1,0] => 12 [1,1,1,0,1,0,0,1,0,1,0,0] => 15 [1,1,1,0,1,0,0,1,1,0,0,0] => 27 [1,1,1,0,1,0,1,0,0,0,1,0] => 14 [1,1,1,0,1,0,1,0,0,1,0,0] => 18 [1,1,1,0,1,0,1,0,1,0,0,0] => 20 [1,1,1,0,1,0,1,1,0,0,0,0] => 34 [1,1,1,0,1,1,0,0,0,0,1,0] => 23 [1,1,1,0,1,1,0,0,0,1,0,0] => 30 [1,1,1,0,1,1,0,0,1,0,0,0] => 34 [1,1,1,0,1,1,0,1,0,0,0,0] => 43 [1,1,1,0,1,1,1,0,0,0,0,0] => 66 [1,1,1,1,0,0,0,0,1,0,1,0] => 14 [1,1,1,1,0,0,0,0,1,1,0,0] => 28 [1,1,1,1,0,0,0,1,0,0,1,0] => 19 [1,1,1,1,0,0,0,1,0,1,0,0] => 24 [1,1,1,1,0,0,0,1,1,0,0,0] => 43 [1,1,1,1,0,0,1,0,0,0,1,0] => 23 [1,1,1,1,0,0,1,0,0,1,0,0] => 30 [1,1,1,1,0,0,1,0,1,0,0,0] => 34 [1,1,1,1,0,0,1,1,0,0,0,0] => 57 [1,1,1,1,0,1,0,0,0,0,1,0] => 28 [1,1,1,1,0,1,0,0,0,1,0,0] => 37 [1,1,1,1,0,1,0,0,1,0,0,0] => 43 [1,1,1,1,0,1,0,1,0,0,0,0] => 48 [1,1,1,1,0,1,1,0,0,0,0,0] => 76 [1,1,1,1,1,0,0,0,0,0,1,0] => 42 [1,1,1,1,1,0,0,0,0,1,0,0] => 56 [1,1,1,1,1,0,0,0,1,0,0,0] => 66 [1,1,1,1,1,0,0,1,0,0,0,0] => 76 [1,1,1,1,1,0,1,0,0,0,0,0] => 90 [1,1,1,1,1,1,0,0,0,0,0,0] => 132 [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] => 3 [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 5 [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] => 3 [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 4 [1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 7 [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 5 [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 7 [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 9 [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 14 [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] => 6 [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10 [1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 3 [1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 6 [1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 4 [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 5 [1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 9 [1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 7 [1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 9 [1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 12 [1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 19 [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 5 [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 10 [1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 7 [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 9 [1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 16 [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] => 12 [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 14 [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 23 [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 14 [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 19 [1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 23 [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 28 [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 42 [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] => 6 [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 10 [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] => 6 [1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 8 [1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 14 [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10 [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] => 18 [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 28 [1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 3 [1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 6 [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 6 [1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 9 [1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 15 [1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 4 [1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 8 [1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 5 [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 6 [1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 11 [1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 9 [1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 11 [1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 15 [1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 24 [1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 7 [1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 14 [1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 9 [1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 11 [1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 20 [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] => 15 [1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 18 [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 30 [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 19 [1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 24 [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 30 [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 37 [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 56 [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 5 [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10 [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 10 [1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 15 [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 25 [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 7 [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 14 [1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 9 [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 11 [1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 20 [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 16 [1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 20 [1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 27 [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 43 [1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 9 [1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 18 [1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 12 [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 15 [1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 27 [1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 14 [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 18 [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 20 [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 34 [1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 23 [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 30 [1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 34 [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 43 [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 66 [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 14 [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 28 [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 19 [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 24 [1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 43 [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 23 [1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 30 [1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 34 [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 57 [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 28 [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 37 [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 43 [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 48 [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 76 [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 42 [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 56 [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 66 [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 76 [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 90 [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 132 [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] => 6 [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 10 [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] => 6 [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 8 [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 14 [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 10 [1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 14 [1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 18 [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 28 [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] => 12 [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 20 [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 6 [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] => 8 [1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 10 [1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 18 [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 14 [1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 18 [1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 24 [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 38 [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] => 20 [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 14 [1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 18 [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 32 [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 18 [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 24 [1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 28 [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 46 [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 28 [1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 38 [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 46 [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 56 [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 84 [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 3 [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 6 [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 6 [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] => 15 [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 6 [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 12 [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 9 [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 12 [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 21 [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 15 [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 21 [1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 27 [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 42 [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 4 [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 8 [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 8 [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 12 [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 20 [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 5 [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 10 [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 6 [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7 [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 13 [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 11 [1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 13 [1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 18 [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 29 [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 9 [1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 18 [1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 11 [1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 13 [1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 24 [1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 15 [1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 18 [1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 22 [1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 37 [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 24 [1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 29 [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 37 [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 46 [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 70 [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] => 14 [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 14 [1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 21 [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 35 [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 9 [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 18 [1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 11 [1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 13 [1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 24 [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 20 [1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 24 [1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 33 [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 53 [1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 12 [1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 24 [1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 15 [1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 18 [1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 33 [1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 18 [1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 22 [1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 25 [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 43 [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 30 [1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 37 [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 43 [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 55 [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 85 [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 19 [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 38 [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 24 [1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 29 [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 53 [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 30 [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 37 [1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 43 [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 73 [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 37 [1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 46 [1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 55 [1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 62 [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 99 [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 56 [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 70 [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 85 [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 99 [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 118 [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 174 [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 5 [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 10 [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 10 [1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 15 [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 25 [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] => 20 [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 15 [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 20 [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 35 [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 25 [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 35 [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 45 [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 70 [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 7 [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 14 [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 14 [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 21 [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 35 [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 9 [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 18 [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] => 13 [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 24 [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 20 [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 24 [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 33 [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 53 [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 16 [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 32 [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 20 [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 24 [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 44 [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 27 [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 33 [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 40 [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 67 [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 43 [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 53 [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 67 [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 83 [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 126 [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 9 [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 18 [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 18 [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 27 [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 45 [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 12 [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 24 [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 15 [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 18 [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 33 [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 27 [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 33 [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 45 [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 72 [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 14 [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 28 [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 18 [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 22 [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 40 [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 20 [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 25 [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 27 [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 47 [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 34 [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 43 [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 47 [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 61 [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 95 [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 23 [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 46 [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 30 [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 37 [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 67 [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 34 [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 43 [1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 47 [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 81 [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 43 [1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 55 [1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 61 [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 70 [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 113 [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 66 [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 85 [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 95 [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 113 [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 136 [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 202 [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 14 [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 28 [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 28 [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 42 [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 70 [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 19 [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 38 [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 24 [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 29 [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 53 [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 43 [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 53 [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 72 [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 115 [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 23 [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 46 [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 30 [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 37 [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 67 [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 34 [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 43 [1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 47 [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 81 [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 57 [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 73 [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 81 [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 104 [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 161 [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 28 [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 56 [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 37 [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 46 [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 83 [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 43 [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 55 [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 61 [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 104 [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 48 [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 62 [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 70 [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 75 [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 123 [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 76 [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 99 [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 113 [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 123 [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 151 [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 227 [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 42 [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 84 [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 56 [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 70 [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 126 [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 66 [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 85 [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 95 [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 161 [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 76 [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 99 [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 113 [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 123 [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 199 [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 90 [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 118 [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 136 [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 151 [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 165 [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 255 [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 132 [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 174 [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 202 [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 227 [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 255 [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297 [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429 [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] => 3 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 5 [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 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] => 3 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 4 [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 7 [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 5 [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 7 [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] => 14 [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] => 6 [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10 [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 3 [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 6 [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 4 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 5 [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 9 [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 7 [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 9 [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] => 19 [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 5 [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 10 [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 7 [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 9 [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 16 [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 9 [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 12 [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 14 [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 23 [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 14 [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 19 [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 23 [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 28 [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 42 [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] => 6 [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 10 [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] => 6 [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 8 [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 14 [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10 [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 14 [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 18 [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 28 [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 3 [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 6 [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 6 [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 9 [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 15 [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 4 [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 8 [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 5 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 6 [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 11 [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 9 [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 11 [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 15 [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 24 [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 7 [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] => 9 [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 11 [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 20 [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 12 [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 15 [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 18 [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 30 [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 19 [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 24 [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 30 [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 37 [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 56 [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 5 [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10 [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 10 [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 15 [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 25 [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 7 [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 14 [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 9 [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 11 [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 20 [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 16 [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 20 [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 27 [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 43 [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 9 [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 18 [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 12 [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 15 [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 27 [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 14 [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 18 [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 20 [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 34 [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 23 [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 30 [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 34 [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 43 [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 66 [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 14 [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 28 [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 19 [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 24 [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 43 [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 23 [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 30 [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 34 [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 57 [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 28 [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 37 [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 43 [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 48 [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 76 [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 42 [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 56 [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 66 [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 76 [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 90 [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 132 [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] => 6 [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 10 [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 4 [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 8 [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 6 [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 8 [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 14 [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 10 [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 14 [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 18 [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 28 [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] => 12 [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 20 [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 6 [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 12 [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 8 [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 10 [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] => 14 [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 18 [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 24 [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 38 [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 10 [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 20 [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 14 [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 18 [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 32 [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 18 [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 24 [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 28 [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 46 [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 28 [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 38 [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 46 [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 56 [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 84 [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 3 [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 6 [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 6 [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 9 [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] => 6 [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 12 [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 9 [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 12 [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 21 [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 15 [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 21 [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 27 [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 42 [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 4 [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 8 [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 8 [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 12 [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 20 [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 5 [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 10 [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 6 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7 [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 13 [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 11 [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 13 [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 18 [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 29 [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 9 [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 18 [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 11 [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 13 [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 24 [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 15 [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 18 [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 22 [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 37 [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 24 [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 29 [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 37 [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 46 [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 70 [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 7 [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 14 [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 14 [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 21 [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 35 [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 9 [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] => 11 [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 13 [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 24 [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 20 [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 24 [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 33 [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 53 [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 12 [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 24 [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 15 [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 18 [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 33 [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 18 [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 22 [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 25 [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 43 [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 30 [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 37 [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 43 [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 55 [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 85 [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 19 [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 38 [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 24 [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 29 [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 53 [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 30 [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 37 [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 43 [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 73 [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 37 [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 46 [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 55 [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 62 [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 99 [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 56 [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 70 [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 85 [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 99 [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 118 [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 174 [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 5 [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 10 [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 10 [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] => 25 [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 10 [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 20 [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 15 [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 20 [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 35 [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 25 [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 35 [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 45 [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 70 [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 7 [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] => 14 [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 21 [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 35 [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 9 [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 18 [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 11 [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 13 [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 24 [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 20 [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 24 [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 33 [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 53 [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 16 [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 32 [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 20 [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 24 [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 44 [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 27 [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 33 [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 40 [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 67 [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 43 [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 53 [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 67 [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 83 [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 126 [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 9 [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 18 [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 18 [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 27 [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 45 [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] => 24 [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 15 [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 18 [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 33 [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 27 [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 33 [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 45 [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 72 [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 14 [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 28 [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 18 [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 22 [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 40 [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 20 [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 25 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 27 [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 47 [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 34 [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 43 [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 47 [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 61 [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 95 [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 23 [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 46 [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 30 [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 37 [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 67 [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 34 [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 43 [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 47 [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 81 [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 43 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 55 [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 61 [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 70 [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 113 [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 66 [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 85 [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 95 [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 113 [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 136 [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 202 [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 14 [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 28 [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 28 [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 42 [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 70 [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 19 [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 38 [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 24 [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 29 [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 53 [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 43 [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 53 [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 72 [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 115 [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 23 [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 46 [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 30 [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 37 [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 67 [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 34 [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 43 [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 47 ----------------------------------------------------------------------------- Created: Feb 13, 2013 at 01:13 by Viviane Pons ----------------------------------------------------------------------------- Last Updated: May 29, 2015 at 16:14 by Martin Rubey