************************************************************************ * www.FindStat.org - The Combinatorial Statistic Finder * * * * Copyright (C) 2013 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. * ************************************************************************ ------------------------------------------------------------------------ Map identifier: Mp00102 ------------------------------------------------------------------------ Map name: rise composition ------------------------------------------------------------------------ Domain: Dyck paths ------------------------------------------------------------------------ Codomain: Integer compositions ------------------------------------------------------------------------ Description: Send a Dyck path to the composition of sizes of its rises. ------------------------------------------------------------------------ References: ------------------------------------------------------------------------ Code: def mapping(D): return D.rise_composition() ------------------------------------------------------------------------ Map images: [1,0] => [1] [1,0,1,0] => [1,1] [1,1,0,0] => [2] [1,0,1,0,1,0] => [1,1,1] [1,0,1,1,0,0] => [1,2] [1,1,0,0,1,0] => [2,1] [1,1,0,1,0,0] => [2,1] [1,1,1,0,0,0] => [3] [1,0,1,0,1,0,1,0] => [1,1,1,1] [1,0,1,0,1,1,0,0] => [1,1,2] [1,0,1,1,0,0,1,0] => [1,2,1] [1,0,1,1,0,1,0,0] => [1,2,1] [1,0,1,1,1,0,0,0] => [1,3] [1,1,0,0,1,0,1,0] => [2,1,1] [1,1,0,0,1,1,0,0] => [2,2] [1,1,0,1,0,0,1,0] => [2,1,1] [1,1,0,1,0,1,0,0] => [2,1,1] [1,1,0,1,1,0,0,0] => [2,2] [1,1,1,0,0,0,1,0] => [3,1] [1,1,1,0,0,1,0,0] => [3,1] [1,1,1,0,1,0,0,0] => [3,1] [1,1,1,1,0,0,0,0] => [4] [1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1] [1,0,1,0,1,0,1,1,0,0] => [1,1,1,2] [1,0,1,0,1,1,0,0,1,0] => [1,1,2,1] [1,0,1,0,1,1,0,1,0,0] => [1,1,2,1] [1,0,1,0,1,1,1,0,0,0] => [1,1,3] [1,0,1,1,0,0,1,0,1,0] => [1,2,1,1] [1,0,1,1,0,0,1,1,0,0] => [1,2,2] [1,0,1,1,0,1,0,0,1,0] => [1,2,1,1] [1,0,1,1,0,1,0,1,0,0] => [1,2,1,1] [1,0,1,1,0,1,1,0,0,0] => [1,2,2] [1,0,1,1,1,0,0,0,1,0] => [1,3,1] [1,0,1,1,1,0,0,1,0,0] => [1,3,1] [1,0,1,1,1,0,1,0,0,0] => [1,3,1] [1,0,1,1,1,1,0,0,0,0] => [1,4] [1,1,0,0,1,0,1,0,1,0] => [2,1,1,1] [1,1,0,0,1,0,1,1,0,0] => [2,1,2] [1,1,0,0,1,1,0,0,1,0] => [2,2,1] [1,1,0,0,1,1,0,1,0,0] => [2,2,1] [1,1,0,0,1,1,1,0,0,0] => [2,3] [1,1,0,1,0,0,1,0,1,0] => [2,1,1,1] [1,1,0,1,0,0,1,1,0,0] => [2,1,2] [1,1,0,1,0,1,0,0,1,0] => [2,1,1,1] [1,1,0,1,0,1,0,1,0,0] => [2,1,1,1] [1,1,0,1,0,1,1,0,0,0] => [2,1,2] [1,1,0,1,1,0,0,0,1,0] => [2,2,1] [1,1,0,1,1,0,0,1,0,0] => [2,2,1] [1,1,0,1,1,0,1,0,0,0] => [2,2,1] [1,1,0,1,1,1,0,0,0,0] => [2,3] [1,1,1,0,0,0,1,0,1,0] => [3,1,1] [1,1,1,0,0,0,1,1,0,0] => [3,2] [1,1,1,0,0,1,0,0,1,0] => [3,1,1] [1,1,1,0,0,1,0,1,0,0] => [3,1,1] [1,1,1,0,0,1,1,0,0,0] => [3,2] [1,1,1,0,1,0,0,0,1,0] => [3,1,1] [1,1,1,0,1,0,0,1,0,0] => [3,1,1] [1,1,1,0,1,0,1,0,0,0] => [3,1,1] [1,1,1,0,1,1,0,0,0,0] => [3,2] [1,1,1,1,0,0,0,0,1,0] => [4,1] [1,1,1,1,0,0,0,1,0,0] => [4,1] [1,1,1,1,0,0,1,0,0,0] => [4,1] [1,1,1,1,0,1,0,0,0,0] => [4,1] [1,1,1,1,1,0,0,0,0,0] => [5] [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1] [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,2] [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,2,1] [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,2,1] [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,3] [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,2,1,1] [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,2,2] [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,2,1,1] [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,2,1,1] [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,2,2] [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,3,1] [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,3,1] [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,3,1] [1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,4] [1,0,1,1,0,0,1,0,1,0,1,0] => [1,2,1,1,1] [1,0,1,1,0,0,1,0,1,1,0,0] => [1,2,1,2] [1,0,1,1,0,0,1,1,0,0,1,0] => [1,2,2,1] [1,0,1,1,0,0,1,1,0,1,0,0] => [1,2,2,1] [1,0,1,1,0,0,1,1,1,0,0,0] => [1,2,3] [1,0,1,1,0,1,0,0,1,0,1,0] => [1,2,1,1,1] [1,0,1,1,0,1,0,0,1,1,0,0] => [1,2,1,2] [1,0,1,1,0,1,0,1,0,0,1,0] => [1,2,1,1,1] [1,0,1,1,0,1,0,1,0,1,0,0] => [1,2,1,1,1] [1,0,1,1,0,1,0,1,1,0,0,0] => [1,2,1,2] [1,0,1,1,0,1,1,0,0,0,1,0] => [1,2,2,1] [1,0,1,1,0,1,1,0,0,1,0,0] => [1,2,2,1] [1,0,1,1,0,1,1,0,1,0,0,0] => [1,2,2,1] [1,0,1,1,0,1,1,1,0,0,0,0] => [1,2,3] [1,0,1,1,1,0,0,0,1,0,1,0] => [1,3,1,1] [1,0,1,1,1,0,0,0,1,1,0,0] => [1,3,2] [1,0,1,1,1,0,0,1,0,0,1,0] => [1,3,1,1] [1,0,1,1,1,0,0,1,0,1,0,0] => [1,3,1,1] [1,0,1,1,1,0,0,1,1,0,0,0] => [1,3,2] [1,0,1,1,1,0,1,0,0,0,1,0] => [1,3,1,1] [1,0,1,1,1,0,1,0,0,1,0,0] => [1,3,1,1] [1,0,1,1,1,0,1,0,1,0,0,0] => [1,3,1,1] [1,0,1,1,1,0,1,1,0,0,0,0] => [1,3,2] [1,0,1,1,1,1,0,0,0,0,1,0] => [1,4,1] [1,0,1,1,1,1,0,0,0,1,0,0] => [1,4,1] [1,0,1,1,1,1,0,0,1,0,0,0] => [1,4,1] [1,0,1,1,1,1,0,1,0,0,0,0] => [1,4,1] [1,0,1,1,1,1,1,0,0,0,0,0] => [1,5] [1,1,0,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1] [1,1,0,0,1,0,1,0,1,1,0,0] => [2,1,1,2] [1,1,0,0,1,0,1,1,0,0,1,0] => [2,1,2,1] [1,1,0,0,1,0,1,1,0,1,0,0] => [2,1,2,1] [1,1,0,0,1,0,1,1,1,0,0,0] => [2,1,3] [1,1,0,0,1,1,0,0,1,0,1,0] => [2,2,1,1] [1,1,0,0,1,1,0,0,1,1,0,0] => [2,2,2] [1,1,0,0,1,1,0,1,0,0,1,0] => [2,2,1,1] [1,1,0,0,1,1,0,1,0,1,0,0] => [2,2,1,1] [1,1,0,0,1,1,0,1,1,0,0,0] => [2,2,2] [1,1,0,0,1,1,1,0,0,0,1,0] => [2,3,1] [1,1,0,0,1,1,1,0,0,1,0,0] => [2,3,1] [1,1,0,0,1,1,1,0,1,0,0,0] => [2,3,1] [1,1,0,0,1,1,1,1,0,0,0,0] => [2,4] [1,1,0,1,0,0,1,0,1,0,1,0] => [2,1,1,1,1] [1,1,0,1,0,0,1,0,1,1,0,0] => [2,1,1,2] [1,1,0,1,0,0,1,1,0,0,1,0] => [2,1,2,1] [1,1,0,1,0,0,1,1,0,1,0,0] => [2,1,2,1] [1,1,0,1,0,0,1,1,1,0,0,0] => [2,1,3] [1,1,0,1,0,1,0,0,1,0,1,0] => [2,1,1,1,1] [1,1,0,1,0,1,0,0,1,1,0,0] => [2,1,1,2] [1,1,0,1,0,1,0,1,0,0,1,0] => [2,1,1,1,1] [1,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1] [1,1,0,1,0,1,0,1,1,0,0,0] => [2,1,1,2] [1,1,0,1,0,1,1,0,0,0,1,0] => [2,1,2,1] [1,1,0,1,0,1,1,0,0,1,0,0] => [2,1,2,1] [1,1,0,1,0,1,1,0,1,0,0,0] => [2,1,2,1] [1,1,0,1,0,1,1,1,0,0,0,0] => [2,1,3] [1,1,0,1,1,0,0,0,1,0,1,0] => [2,2,1,1] [1,1,0,1,1,0,0,0,1,1,0,0] => [2,2,2] [1,1,0,1,1,0,0,1,0,0,1,0] => [2,2,1,1] [1,1,0,1,1,0,0,1,0,1,0,0] => [2,2,1,1] [1,1,0,1,1,0,0,1,1,0,0,0] => [2,2,2] [1,1,0,1,1,0,1,0,0,0,1,0] => [2,2,1,1] [1,1,0,1,1,0,1,0,0,1,0,0] => [2,2,1,1] [1,1,0,1,1,0,1,0,1,0,0,0] => [2,2,1,1] [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,2] [1,1,0,1,1,1,0,0,0,0,1,0] => [2,3,1] [1,1,0,1,1,1,0,0,0,1,0,0] => [2,3,1] [1,1,0,1,1,1,0,0,1,0,0,0] => [2,3,1] [1,1,0,1,1,1,0,1,0,0,0,0] => [2,3,1] [1,1,0,1,1,1,1,0,0,0,0,0] => [2,4] [1,1,1,0,0,0,1,0,1,0,1,0] => [3,1,1,1] [1,1,1,0,0,0,1,0,1,1,0,0] => [3,1,2] [1,1,1,0,0,0,1,1,0,0,1,0] => [3,2,1] [1,1,1,0,0,0,1,1,0,1,0,0] => [3,2,1] [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3] [1,1,1,0,0,1,0,0,1,0,1,0] => [3,1,1,1] [1,1,1,0,0,1,0,0,1,1,0,0] => [3,1,2] [1,1,1,0,0,1,0,1,0,0,1,0] => [3,1,1,1] [1,1,1,0,0,1,0,1,0,1,0,0] => [3,1,1,1] [1,1,1,0,0,1,0,1,1,0,0,0] => [3,1,2] [1,1,1,0,0,1,1,0,0,0,1,0] => [3,2,1] [1,1,1,0,0,1,1,0,0,1,0,0] => [3,2,1] [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,1] [1,1,1,0,0,1,1,1,0,0,0,0] => [3,3] [1,1,1,0,1,0,0,0,1,0,1,0] => [3,1,1,1] [1,1,1,0,1,0,0,0,1,1,0,0] => [3,1,2] [1,1,1,0,1,0,0,1,0,0,1,0] => [3,1,1,1] [1,1,1,0,1,0,0,1,0,1,0,0] => [3,1,1,1] [1,1,1,0,1,0,0,1,1,0,0,0] => [3,1,2] [1,1,1,0,1,0,1,0,0,0,1,0] => [3,1,1,1] [1,1,1,0,1,0,1,0,0,1,0,0] => [3,1,1,1] [1,1,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1] [1,1,1,0,1,0,1,1,0,0,0,0] => [3,1,2] [1,1,1,0,1,1,0,0,0,0,1,0] => [3,2,1] [1,1,1,0,1,1,0,0,0,1,0,0] => [3,2,1] [1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] [1,1,1,0,1,1,1,0,0,0,0,0] => [3,3] [1,1,1,1,0,0,0,0,1,0,1,0] => [4,1,1] [1,1,1,1,0,0,0,0,1,1,0,0] => [4,2] [1,1,1,1,0,0,0,1,0,0,1,0] => [4,1,1] [1,1,1,1,0,0,0,1,0,1,0,0] => [4,1,1] [1,1,1,1,0,0,0,1,1,0,0,0] => [4,2] [1,1,1,1,0,0,1,0,0,0,1,0] => [4,1,1] [1,1,1,1,0,0,1,0,0,1,0,0] => [4,1,1] [1,1,1,1,0,0,1,0,1,0,0,0] => [4,1,1] [1,1,1,1,0,0,1,1,0,0,0,0] => [4,2] [1,1,1,1,0,1,0,0,0,0,1,0] => [4,1,1] [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] [1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] [1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] [1,1,1,1,0,1,1,0,0,0,0,0] => [4,2] [1,1,1,1,1,0,0,0,0,0,1,0] => [5,1] [1,1,1,1,1,0,0,0,0,1,0,0] => [5,1] [1,1,1,1,1,0,0,0,1,0,0,0] => [5,1] [1,1,1,1,1,0,0,1,0,0,0,0] => [5,1] [1,1,1,1,1,0,1,0,0,0,0,0] => [5,1] [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] => [1,1,1,1,1,1,1] [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,2] [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,2,1] [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,2,1] [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,3] [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,2,1,1] [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,2,2] [1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,2,1,1] [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,2,1,1] [1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,2,2] [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,3,1] [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,3,1] [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,3,1] [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,4] [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,2,1,1,1] [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,2,1,2] [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,2,2,1] [1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,2,2,1] [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,2,3] [1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,2,1,1,1] [1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,2,1,2] [1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,2,1,1,1] [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,2,1,1,1] [1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,2,1,2] [1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,2,2,1] [1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,2,2,1] [1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,2,2,1] [1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,2,3] [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,3,1,1] [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,3,2] [1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,3,1,1] [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,3,1,1] [1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,3,2] [1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,3,1,1] [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,3,1,1] [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,3,1,1] [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,3,2] [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,4,1] [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,4,1] [1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,4,1] [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,4,1] [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,5] [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,2,1,1,1,1] [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,2,1,1,2] [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,2,1,2,1] [1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,2,1,2,1] [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,2,1,3] [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,2,2,1,1] [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,2,2,2] [1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,2,2,1,1] [1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,2,2,1,1] [1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,2,2,2] [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,2,3,1] [1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,2,3,1] [1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,2,3,1] [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,2,4] [1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,2,1,1,1,1] [1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,2,1,1,2] [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,2,1,2,1] [1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,2,1,2,1] [1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,2,1,3] [1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,2,1,1,1,1] [1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,2,1,1,2] [1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,2,1,1,1,1] [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,2,1,1,1,1] [1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,2,1,1,2] [1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,2,1,2,1] [1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,2,1,2,1] [1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,2,1,2,1] [1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,2,1,3] [1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,2,2,1,1] [1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,2,2,2] [1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,2,2,1,1] [1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,2,2,1,1] [1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,2,2,2] [1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,2,2,1,1] [1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,2,2,1,1] [1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,2,2,1,1] [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,2,2,2] [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,2,3,1] [1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,2,3,1] [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,2,3,1] [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,2,3,1] [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,2,4] [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,3,1,1,1] [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,3,1,2] [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,3,2,1] [1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,3,2,1] [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,3,3] [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,3,1,1,1] [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,3,1,2] [1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,3,1,1,1] [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,3,1,1,1] [1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,3,1,2] [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,3,2,1] [1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,3,2,1] [1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,3,2,1] [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,3,3] [1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,3,1,1,1] [1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,3,1,2] [1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,3,1,1,1] [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,3,1,1,1] [1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,3,1,2] [1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,3,1,1,1] [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,3,1,1,1] [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,3,1,1,1] [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,3,1,2] [1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,3,2,1] [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,3,2,1] [1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,3,2,1] [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,3,2,1] [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,3,3] [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,4,1,1] [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,4,2] [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,4,1,1] [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,4,1,1] [1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,4,2] [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,4,1,1] [1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,4,1,1] [1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,4,1,1] [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,4,2] [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,4,1,1] [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,4,1,1] [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,4,1,1] [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,4,1,1] [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,4,2] [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,5,1] [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,5,1] [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,5,1] [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,5,1] [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,5,1] [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,6] [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1] [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [2,1,1,1,2] [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [2,1,1,2,1] [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [2,1,1,2,1] [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [2,1,1,3] [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [2,1,2,1,1] [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [2,1,2,2] [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [2,1,2,1,1] [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [2,1,2,1,1] [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [2,1,2,2] [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [2,1,3,1] [1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [2,1,3,1] [1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [2,1,3,1] [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [2,1,4] [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [2,2,1,1,1] [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [2,2,1,2] [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [2,2,2,1] [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [2,2,2,1] [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [2,2,3] [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [2,2,1,1,1] [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [2,2,1,2] [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [2,2,1,1,1] [1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [2,2,1,1,1] [1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [2,2,1,2] [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [2,2,2,1] [1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [2,2,2,1] [1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [2,2,2,1] [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [2,2,3] [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [2,3,1,1] [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [2,3,2] [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [2,3,1,1] [1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [2,3,1,1] [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [2,3,2] [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [2,3,1,1] [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [2,3,1,1] [1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [2,3,1,1] [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [2,3,2] [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [2,4,1] [1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [2,4,1] [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [2,4,1] [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [2,4,1] [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [2,5] [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1] [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [2,1,1,1,2] [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [2,1,1,2,1] [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [2,1,1,2,1] [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [2,1,1,3] [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [2,1,2,1,1] [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [2,1,2,2] [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [2,1,2,1,1] [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [2,1,2,1,1] [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [2,1,2,2] [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [2,1,3,1] [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [2,1,3,1] [1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [2,1,3,1] [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [2,1,4] [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,1,1,1,1,1] [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [2,1,1,1,2] [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [2,1,1,2,1] [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [2,1,1,2,1] [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [2,1,1,3] [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,1,1,1,1,1] [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,1,1,1,2] [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,1,1,1,1,1] [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1,1] [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [2,1,1,1,2] [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [2,1,1,2,1] [1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [2,1,1,2,1] [1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [2,1,1,2,1] [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [2,1,1,3] [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [2,1,2,1,1] [1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [2,1,2,2] [1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [2,1,2,1,1] [1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [2,1,2,1,1] [1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [2,1,2,2] [1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [2,1,2,1,1] [1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [2,1,2,1,1] [1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [2,1,2,1,1] [1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [2,1,2,2] [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [2,1,3,1] [1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [2,1,3,1] [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [2,1,3,1] [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [2,1,3,1] [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [2,1,4] [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [2,2,1,1,1] [1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [2,2,1,2] [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [2,2,2,1] [1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [2,2,2,1] [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [2,2,3] [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [2,2,1,1,1] [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [2,2,1,2] [1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [2,2,1,1,1] [1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [2,2,1,1,1] [1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [2,2,1,2] [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [2,2,2,1] [1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [2,2,2,1] [1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [2,2,2,1] [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [2,2,3] [1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [2,2,1,1,1] [1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [2,2,1,2] [1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [2,2,1,1,1] [1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [2,2,1,1,1] [1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [2,2,1,2] [1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [2,2,1,1,1] [1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [2,2,1,1,1] [1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [2,2,1,1,1] [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1,2] [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [2,2,2,1] [1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [2,2,2,1] [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [2,2,2,1] [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [2,2,2,1] [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [2,2,3] [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [2,3,1,1] [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [2,3,2] [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [2,3,1,1] [1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [2,3,1,1] [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [2,3,2] [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [2,3,1,1] [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [2,3,1,1] [1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [2,3,1,1] [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [2,3,2] [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [2,3,1,1] [1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [2,3,1,1] [1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [2,3,1,1] [1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [2,3,1,1] [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [2,3,2] [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [2,4,1] [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [2,4,1] [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [2,4,1] [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [2,4,1] [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [2,4,1] [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [2,5] [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [3,1,1,1,1] [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [3,1,1,2] [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [3,1,2,1] [1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [3,1,2,1] [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [3,1,3] [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [3,2,1,1] [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [3,2,2] [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [3,2,1,1] [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [3,2,1,1] [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [3,2,2] [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [3,3,1] [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [3,3,1] [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [3,3,1] [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [3,4] [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [3,1,1,1,1] [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [3,1,1,2] [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [3,1,2,1] [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [3,1,2,1] [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [3,1,3] [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [3,1,1,1,1] [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [3,1,1,2] [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [3,1,1,1,1] [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [3,1,1,1,1] [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [3,1,1,2] [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [3,1,2,1] [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [3,1,2,1] [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [3,1,2,1] [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [3,1,3] [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [3,2,1,1] [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [3,2,2] [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [3,2,1,1] [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [3,2,1,1] [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [3,2,2] [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [3,2,1,1] [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [3,2,1,1] [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [3,2,2] [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [3,3,1] [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [3,3,1] [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [3,3,1] [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [3,3,1] [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [3,4] [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [3,1,1,1,1] [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [3,1,1,2] [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [3,1,2,1] [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [3,1,2,1] [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [3,1,3] [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [3,1,1,1,1] [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [3,1,1,2] [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [3,1,1,1,1] [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [3,1,1,1,1] [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [3,1,1,2] [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [3,1,2,1] [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [3,1,2,1] [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [3,1,2,1] [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [3,1,3] [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [3,1,1,1,1] [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [3,1,1,2] [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [3,1,1,1,1] [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [3,1,1,1,1] [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [3,1,1,2] [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [3,1,1,1,1] [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [3,1,1,1,1] [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1,1] [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [3,1,1,2] [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [3,1,2,1] [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [3,1,2,1] [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [3,1,2,1] [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [3,1,2,1] [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [3,1,3] [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [3,2,1,1] [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [3,2,2] [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [3,2,1,1] [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [3,2,1,1] [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [3,2,2] [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [3,2,1,1] [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [3,2,1,1] [1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [3,2,1,1] [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [3,2,2] [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [3,2,1,1] [1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [3,2,1,1] [1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [3,2,1,1] [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [3,2,1,1] [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [3,2,2] [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [3,3,1] [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [3,3,1] [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [3,3,1] [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [3,3,1] [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [3,3,1] [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [3,4] [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [4,1,1,1] [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [4,1,2] [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [4,2,1] [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [4,2,1] [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [4,3] [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [4,1,1,1] [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [4,1,2] [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [4,1,1,1] [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [4,1,1,1] [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [4,1,2] [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [4,2,1] [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [4,2,1] [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [4,2,1] [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [4,3] [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [4,1,1,1] [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [4,1,2] [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [4,1,1,1] [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [4,1,1,1] [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [4,1,2] [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [4,1,1,1] [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [4,1,1,1] [1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [4,1,1,1] [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [4,1,2] [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [4,2,1] [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [4,2,1] [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [4,2,1] [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [4,2,1] [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [4,3] [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [4,1,1,1] [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [4,1,2] [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [4,1,1,1] [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [4,1,1,1] [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [4,1,2] [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [4,1,1,1] [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [4,1,1,1] [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [4,1,1,1] [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [4,1,2] [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [4,1,1,1] [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [4,1,1,1] [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [4,1,1,1] [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [4,1,1,1] [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [4,1,2] [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [4,2,1] [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [4,2,1] [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [4,2,1] [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [4,2,1] [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [4,2,1] [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [4,3] [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [5,1,1] [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [5,2] [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [5,1,1] [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [5,1,1] [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [5,2] [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [5,1,1] [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [5,1,1] [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [5,1,1] [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [5,2] [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [5,1,1] [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [5,1,1] [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [5,1,1] [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [5,1,1] [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [5,2] [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [5,1,1] [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [5,1,1] [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [5,1,1] [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [5,1,1] [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [5,1,1] [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [5,2] [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [6,1] [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [6,1] [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [6,1] [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [6,1] [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [6,1] [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [6,1] [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] => [1,1,1,1,1,1,1,1] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,1,2] [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,1,2,1] [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,2,1] [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,3] [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,2,1,1] [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,1,2,2] [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,2,1,1] [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,1,2,1,1] [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,1,2,2] [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,3,1] [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,3,1] [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,3,1] [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,4] [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,2,1,1,1] [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,1,2,1,2] [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,2,2,1] [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,2,2,1] [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,2,3] [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,2,1,1,1] [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,1,2,1,2] [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,2,1,1,1] [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,2,1,1,1] [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,1,2,1,2] [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,2,2,1] [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,1,2,2,1] [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,2,2,1] [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,2,3] [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,3,1,1] [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,3,2] [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,3,1,1] [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,3,1,1] [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,3,2] [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,3,1,1] [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,3,1,1] [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,3,1,1] [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,3,2] [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,4,1] [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,4,1] [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,4,1] [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,4,1] [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,5] [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,2,1,1,1,1] [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,2,1,1,2] [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,2,1,2,1] [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,2,1,2,1] [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,2,1,3] [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,2,2,1,1] [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,2,2,2] [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,2,2,1,1] [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,2,2,1,1] [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,2,2,2] [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,2,3,1] [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,2,3,1] [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,2,3,1] [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,2,4] [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,2,1,1,1,1] [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,2,1,1,2] [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,2,1,2,1] [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,2,1,2,1] [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,2,1,3] [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,2,1,1,1,1] [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,2,1,1,2] [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,2,1,1,1,1] [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,2,1,1,1,1] [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,2,1,1,2] [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,2,1,2,1] [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,2,1,2,1] [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,2,1,2,1] [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,2,1,3] [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,2,2,1,1] [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,2,2,2] [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,2,2,1,1] [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,2,2,1,1] [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,2,2,2] [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,2,2,1,1] [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,2,2,1,1] [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,2,2,1,1] [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,2,2,2] [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,2,3,1] [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,2,3,1] [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,2,3,1] [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,2,3,1] [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,2,4] [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,3,1,1,1] [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,3,1,2] [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,3,2,1] [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,3,2,1] [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,3,3] [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,3,1,1,1] [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,3,1,2] [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,3,1,1,1] [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,3,1,1,1] [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,3,1,2] [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,3,2,1] [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,3,2,1] [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,3,2,1] [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,3,3] [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,3,1,1,1] [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,3,1,2] [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,3,1,1,1] [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,3,1,1,1] [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,3,1,2] [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,3,1,1,1] [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,3,1,1,1] [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,3,1,1,1] [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,3,1,2] [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,3,2,1] [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,3,2,1] [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,3,2,1] [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,3,2,1] [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,3,3] [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,4,1,1] [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,4,2] [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,4,1,1] [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,4,1,1] [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,4,2] [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,4,1,1] [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,4,1,1] [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,4,1,1] [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,4,2] [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,4,1,1] [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,4,1,1] [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,4,1,1] [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,4,1,1] [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,4,2] [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,5,1] [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,1,5,1] [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,1,5,1] [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,5,1] [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,5,1] [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,6] [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,2,1,1,1,1,1] [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,2,1,1,1,2] [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,2,1,1,2,1] [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,2,1,1,2,1] [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,2,1,1,3] [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [1,2,1,2,1,1] [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,2,1,2,2] [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,2,1,2,1,1] [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,2,1,2,1,1] [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,2,1,2,2] [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,2,1,3,1] [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,2,1,3,1] [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [1,2,1,3,1] [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,2,1,4] [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,2,2,1,1,1] [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [1,2,2,1,2] [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,2,2,2,1] [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,2,2,2,1] [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,2,2,3] [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,2,2,1,1,1] [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [1,2,2,1,2] [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,2,2,1,1,1] [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,2,2,1,1,1] [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [1,2,2,1,2] [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,2,2,2,1] [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,2,2,2,1] [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,2,2,2,1] [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,2,2,3] [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,2,3,1,1] [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,2,3,2] [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,2,3,1,1] [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [1,2,3,1,1] [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,2,3,2] [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [1,2,3,1,1] [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,2,3,1,1] [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [1,2,3,1,1] [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [1,2,3,2] [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,2,4,1] [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [1,2,4,1] [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,2,4,1] [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,2,4,1] [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,2,5] [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,2,1,1,1,1,1] [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,2,1,1,1,2] [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [1,2,1,1,2,1] [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [1,2,1,1,2,1] [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [1,2,1,1,3] [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [1,2,1,2,1,1] [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [1,2,1,2,2] [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,2,1,2,1,1] [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [1,2,1,2,1,1] [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [1,2,1,2,2] [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,2,1,3,1] [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [1,2,1,3,1] [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [1,2,1,3,1] [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,2,1,4] [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,2,1,1,1,1,1] [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,2,1,1,1,2] [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [1,2,1,1,2,1] [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,2,1,1,2,1] [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [1,2,1,1,3] [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,2,1,1,1,1,1] [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,2,1,1,1,2] [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,2,1,1,1,1,1] [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,2,1,1,1,1,1] [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,2,1,1,1,2] [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,2,1,1,2,1] [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,2,1,1,2,1] [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,2,1,1,2,1] [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,2,1,1,3] [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,2,1,2,1,1] [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [1,2,1,2,2] [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [1,2,1,2,1,1] [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,2,1,2,1,1] [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,2,1,2,2] [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [1,2,1,2,1,1] [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,2,1,2,1,1] [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,2,1,2,1,1] [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [1,2,1,2,2] [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [1,2,1,3,1] [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,2,1,3,1] [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,2,1,3,1] [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,2,1,3,1] [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,2,1,4] [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,2,2,1,1,1] [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [1,2,2,1,2] [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,2,2,2,1] [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,2,2,2,1] [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [1,2,2,3] [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [1,2,2,1,1,1] [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [1,2,2,1,2] [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [1,2,2,1,1,1] [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,2,2,1,1,1] [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,2,2,1,2] [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [1,2,2,2,1] [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,2,2,2,1] [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [1,2,2,2,1] [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [1,2,2,3] [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [1,2,2,1,1,1] [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [1,2,2,1,2] [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,2,2,1,1,1] [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,2,2,1,1,1] [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [1,2,2,1,2] [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [1,2,2,1,1,1] [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [1,2,2,1,1,1] [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,2,2,1,1,1] [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [1,2,2,1,2] [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [1,2,2,2,1] [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,2,2,2,1] [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,2,2,2,1] [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,2,2,2,1] [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [1,2,2,3] [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [1,2,3,1,1] [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [1,2,3,2] [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [1,2,3,1,1] [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [1,2,3,1,1] [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,2,3,2] [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [1,2,3,1,1] [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [1,2,3,1,1] [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,2,3,1,1] [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,2,3,2] [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [1,2,3,1,1] [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [1,2,3,1,1] [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,2,3,1,1] [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,2,3,1,1] [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [1,2,3,2] [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [1,2,4,1] [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [1,2,4,1] [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,2,4,1] [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [1,2,4,1] [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,2,4,1] [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,2,5] [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,3,1,1,1,1] [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [1,3,1,1,2] [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,3,1,2,1] [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,3,1,2,1] [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [1,3,1,3] [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [1,3,2,1,1] [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,3,2,2] [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,3,2,1,1] [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,3,2,1,1] [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,3,2,2] [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,3,3,1] [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [1,3,3,1] [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [1,3,3,1] [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,3,4] [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,3,1,1,1,1] [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [1,3,1,1,2] [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,3,1,2,1] [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,3,1,2,1] [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,3,1,3] [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [1,3,1,1,1,1] [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [1,3,1,1,2] [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,3,1,1,1,1] [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,3,1,1,1,1] [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,3,1,1,2] [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [1,3,1,2,1] [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,3,1,2,1] [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,3,1,2,1] [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,3,1,3] [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,3,2,1,1] [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,3,2,2] [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,3,2,1,1] [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,3,2,1,1] [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,3,2,2] [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,3,2,1,1] [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,3,2,1,1] [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,3,2,1,1] [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,3,2,2] [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,3,3,1] [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,3,3,1] [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,3,3,1] [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,3,3,1] [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,3,4] [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [1,3,1,1,1,1] [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [1,3,1,1,2] [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [1,3,1,2,1] [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,3,1,2,1] [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [1,3,1,3] [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [1,3,1,1,1,1] [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [1,3,1,1,2] [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [1,3,1,1,1,1] [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,3,1,1,1,1] [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [1,3,1,1,2] [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [1,3,1,2,1] [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [1,3,1,2,1] [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,3,1,2,1] [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,3,1,3] [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [1,3,1,1,1,1] [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [1,3,1,1,2] [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [1,3,1,1,1,1] [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,3,1,1,1,1] [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [1,3,1,1,2] [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,3,1,1,1,1] [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [1,3,1,1,1,1] [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,3,1,1,1,1] [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,3,1,1,2] [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [1,3,1,2,1] [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [1,3,1,2,1] [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [1,3,1,2,1] [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [1,3,1,2,1] [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,3,1,3] [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [1,3,2,1,1] [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,3,2,2] [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [1,3,2,1,1] [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,3,2,1,1] [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,3,2,2] [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [1,3,2,1,1] [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [1,3,2,1,1] [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [1,3,2,1,1] [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,3,2,2] [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [1,3,2,1,1] [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,3,2,1,1] [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [1,3,2,1,1] [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,3,2,1,1] [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,3,2,2] [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [1,3,3,1] [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,3,3,1] [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [1,3,3,1] [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,3,3,1] [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [1,3,3,1] [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,3,4] [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,4,1,1,1] [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [1,4,1,2] [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,4,2,1] [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,4,2,1] [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,4,3] [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [1,4,1,1,1] [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,4,1,2] [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,4,1,1,1] [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,4,1,1,1] [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,4,1,2] [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,4,2,1] [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,4,2,1] [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,4,2,1] [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,4,3] [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,4,1,1,1] [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,4,1,2] [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,4,1,1,1] [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,4,1,1,1] [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,4,1,2] [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [1,4,1,1,1] [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,4,1,1,1] [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,4,1,1,1] [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,4,1,2] [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,4,2,1] [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,4,2,1] [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,4,2,1] [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,4,2,1] [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,4,3] [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,4,1,1,1] [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [1,4,1,2] [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [1,4,1,1,1] [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,4,1,1,1] [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [1,4,1,2] [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,4,1,1,1] [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,4,1,1,1] [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [1,4,1,1,1] [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,4,1,2] [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [1,4,1,1,1] [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,4,1,1,1] [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,4,1,1,1] [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,4,1,1,1] [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [1,4,1,2] [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [1,4,2,1] [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [1,4,2,1] [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,4,2,1] [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,4,2,1] [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,4,2,1] [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,4,3] [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,5,1,1] [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,5,2] [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,5,1,1] [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,5,1,1] [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,5,2] [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,5,1,1] [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,5,1,1] [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,5,1,1] [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,5,2] [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,5,1,1] [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,5,1,1] [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,5,1,1] [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,5,1,1] [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,5,2] [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,5,1,1] [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,5,1,1] [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [1,5,1,1] [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,5,1,1] [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,5,1,1] [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,5,2] [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,6,1] [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,6,1] [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,6,1] [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,6,1] [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,6,1] [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,6,1] [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,7] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1] [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [2,1,1,1,1,2] [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [2,1,1,1,2,1] [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [2,1,1,1,2,1] [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [2,1,1,1,3] [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [2,1,1,2,1,1] [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => [2,1,1,2,2] [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [2,1,1,2,1,1] [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [2,1,1,2,1,1] [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => [2,1,1,2,2] [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => [2,1,1,3,1] [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => [2,1,1,3,1] [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => [2,1,1,3,1] [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [2,1,1,4] [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => [2,1,2,1,1,1] [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => [2,1,2,1,2] [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => [2,1,2,2,1] [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => [2,1,2,2,1] [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => [2,1,2,3] [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => [2,1,2,1,1,1] [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => [2,1,2,1,2] [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => [2,1,2,1,1,1] [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [2,1,2,1,1,1] [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => [2,1,2,1,2] [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => [2,1,2,2,1] [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => [2,1,2,2,1] [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => [2,1,2,2,1] [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => [2,1,2,3] [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => [2,1,3,1,1] [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => [2,1,3,2] [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => [2,1,3,1,1] [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => [2,1,3,1,1] [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => [2,1,3,2] [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => [2,1,3,1,1] [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => [2,1,3,1,1] [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => [2,1,3,1,1] [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => [2,1,3,2] [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [2,1,4,1] [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => [2,1,4,1] [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => [2,1,4,1] [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,4,1] [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,1,5] [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [2,2,1,1,1,1] [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => [2,2,1,1,2] [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => [2,2,1,2,1] [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => [2,2,1,2,1] [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => [2,2,1,3] [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [2,2,2,1,1] [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,2,2,2] [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => [2,2,2,1,1] [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [2,2,2,1,1] [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [2,2,2,2] [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [2,2,3,1] [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,2,3,1] [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [2,2,3,1] [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,4] [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => [2,2,1,1,1,1] [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => [2,2,1,1,2] [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => [2,2,1,2,1] [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => [2,2,1,2,1] [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => [2,2,1,3] [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => [2,2,1,1,1,1] [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => [2,2,1,1,2] [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [2,2,1,1,1,1] [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [2,2,1,1,1,1] [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => [2,2,1,1,2] [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => [2,2,1,2,1] [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => [2,2,1,2,1] [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [2,2,1,2,1] [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,1,3] [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => [2,2,2,1,1] [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [2,2,2,2] [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => [2,2,2,1,1] [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => [2,2,2,1,1] [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [2,2,2,2] [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => [2,2,2,1,1] [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => [2,2,2,1,1] [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => [2,2,2,1,1] [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,2,2] [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => [2,2,3,1] [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [2,2,3,1] [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => [2,2,3,1] [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => [2,2,3,1] [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => [2,2,4] [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [2,3,1,1,1] [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => [2,3,1,2] [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => [2,3,2,1] [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => [2,3,2,1] [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [2,3,3] [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => [2,3,1,1,1] [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,3,1,2] [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [2,3,1,1,1] [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => [2,3,1,1,1] [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => [2,3,1,2] [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => [2,3,2,1] [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,3,2,1] [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => [2,3,2,1] [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => [2,3,3] [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => [2,3,1,1,1] [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,3,1,2] [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => [2,3,1,1,1] [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => [2,3,1,1,1] [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => [2,3,1,2] [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => [2,3,1,1,1] [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => [2,3,1,1,1] [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [2,3,1,1,1] [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => [2,3,1,2] [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => [2,3,2,1] [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => [2,3,2,1] [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [2,3,2,1] [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => [2,3,2,1] [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => [2,3,3] [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [2,4,1,1] [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,4,2] [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => [2,4,1,1] [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [2,4,1,1] [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => [2,4,2] [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => [2,4,1,1] [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,4,1,1] [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => [2,4,1,1] [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => [2,4,2] [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => [2,4,1,1] [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => [2,4,1,1] [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => [2,4,1,1] [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [2,4,1,1] [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => [2,4,2] [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [2,5,1] [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => [2,5,1] [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => [2,5,1] [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => [2,5,1] [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [2,5,1] [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,6] [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1] [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [2,1,1,1,1,2] [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => [2,1,1,1,2,1] [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [2,1,1,1,2,1] [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => [2,1,1,1,3] [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => [2,1,1,2,1,1] [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => [2,1,1,2,2] [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [2,1,1,2,1,1] [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => [2,1,1,2,1,1] [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => [2,1,1,2,2] [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => [2,1,1,3,1] [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [2,1,1,3,1] [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => [2,1,1,3,1] [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => [2,1,1,4] ----------------------------------------------------------------------------- Created: Jan 29, 2020 at 13:25 by FindStatCrew ----------------------------------------------------------------------------- Last Updated: Apr 04, 2022 at 13:54 by Tilman MÃ¶ller