************************************************************************ * 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: Mp00233 ------------------------------------------------------------------------ Map name: skew partition ------------------------------------------------------------------------ Domain: Dyck paths ------------------------------------------------------------------------ Codomain: Skew partitions ------------------------------------------------------------------------ Description: The parallelogram polyomino corresponding to a Dyck path, interpreted as a skew partition. Let $D$ be a Dyck path of semilength $n$. The parallelogram polyomino $\gamma(D)$ is defined as follows: let $\tilde D = d_0 d_1 \dots d_{2n+1}$ be the Dyck path obtained by prepending an up step and appending a down step to $D$. Then, the upper path of $\gamma(D)$ corresponds to the sequence of steps of $\tilde D$ with even indices, and the lower path of $\gamma(D)$ corresponds to the sequence of steps of $\tilde D$ with odd indices. This map returns the skew partition definded by the diagram of $\gamma(D)$. ------------------------------------------------------------------------ References: ------------------------------------------------------------------------ Code: def mapping(D): p = ParallelogramPolyomino.from_dyck_word(D) return SkewPartitions(p.area()).from_row_and_column_length(p.widths()[::-1], p.heights()) ------------------------------------------------------------------------ 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] => [[2,1],[]] [1,1,0,0,1,0] => [[2,2],[1]] [1,1,0,1,0,0] => [[3],[]] [1,1,1,0,0,0] => [[2,2],[]] [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] [1,0,1,0,1,1,0,0] => [[2,1,1],[]] [1,0,1,1,0,0,1,0] => [[2,2,1],[1]] [1,0,1,1,0,1,0,0] => [[3,1],[]] [1,0,1,1,1,0,0,0] => [[2,2,1],[]] [1,1,0,0,1,0,1,0] => [[2,2,2],[1,1]] [1,1,0,0,1,1,0,0] => [[3,2],[1]] [1,1,0,1,0,0,1,0] => [[3,3],[2]] [1,1,0,1,0,1,0,0] => [[4],[]] [1,1,0,1,1,0,0,0] => [[3,3],[1]] [1,1,1,0,0,0,1,0] => [[2,2,2],[1]] [1,1,1,0,0,1,0,0] => [[3,2],[]] [1,1,1,0,1,0,0,0] => [[2,2,2],[]] [1,1,1,1,0,0,0,0] => [[3,3],[]] [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] => [[2,1,1,1],[]] [1,0,1,0,1,1,0,0,1,0] => [[2,2,1,1],[1]] [1,0,1,0,1,1,0,1,0,0] => [[3,1,1],[]] [1,0,1,0,1,1,1,0,0,0] => [[2,2,1,1],[]] [1,0,1,1,0,0,1,0,1,0] => [[2,2,2,1],[1,1]] [1,0,1,1,0,0,1,1,0,0] => [[3,2,1],[1]] [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] [1,0,1,1,0,1,1,0,0,0] => [[3,3,1],[1]] [1,0,1,1,1,0,0,0,1,0] => [[2,2,2,1],[1]] [1,0,1,1,1,0,0,1,0,0] => [[3,2,1],[]] [1,0,1,1,1,0,1,0,0,0] => [[2,2,2,1],[]] [1,0,1,1,1,1,0,0,0,0] => [[3,3,1],[]] [1,1,0,0,1,0,1,0,1,0] => [[2,2,2,2],[1,1,1]] [1,1,0,0,1,0,1,1,0,0] => [[3,2,2],[1,1]] [1,1,0,0,1,1,0,0,1,0] => [[3,3,2],[2,1]] [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] [1,1,0,0,1,1,1,0,0,0] => [[3,3,2],[1,1]] [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] [1,1,0,1,0,1,0,1,0,0] => [[5],[]] [1,1,0,1,0,1,1,0,0,0] => [[4,4],[2]] [1,1,0,1,1,0,0,0,1,0] => [[3,3,3],[2,1]] [1,1,0,1,1,0,0,1,0,0] => [[4,3],[1]] [1,1,0,1,1,0,1,0,0,0] => [[3,3,3],[1,1]] [1,1,0,1,1,1,0,0,0,0] => [[4,4],[1]] [1,1,1,0,0,0,1,0,1,0] => [[2,2,2,2],[1,1]] [1,1,1,0,0,0,1,1,0,0] => [[3,2,2],[1]] [1,1,1,0,0,1,0,0,1,0] => [[3,3,2],[2]] [1,1,1,0,0,1,0,1,0,0] => [[4,2],[]] [1,1,1,0,0,1,1,0,0,0] => [[3,3,2],[1]] [1,1,1,0,1,0,0,0,1,0] => [[2,2,2,2],[1]] [1,1,1,0,1,0,0,1,0,0] => [[3,2,2],[]] [1,1,1,0,1,0,1,0,0,0] => [[2,2,2,2],[]] [1,1,1,0,1,1,0,0,0,0] => [[3,3,2],[]] [1,1,1,1,0,0,0,0,1,0] => [[3,3,3],[2]] [1,1,1,1,0,0,0,1,0,0] => [[4,3],[]] [1,1,1,1,0,0,1,0,0,0] => [[3,3,3],[1]] [1,1,1,1,0,1,0,0,0,0] => [[4,4],[]] [1,1,1,1,1,0,0,0,0,0] => [[3,3,3],[]] [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] => [[2,1,1,1,1],[]] [1,0,1,0,1,0,1,1,0,0,1,0] => [[2,2,1,1,1],[1]] [1,0,1,0,1,0,1,1,0,1,0,0] => [[3,1,1,1],[]] [1,0,1,0,1,0,1,1,1,0,0,0] => [[2,2,1,1,1],[]] [1,0,1,0,1,1,0,0,1,0,1,0] => [[2,2,2,1,1],[1,1]] [1,0,1,0,1,1,0,0,1,1,0,0] => [[3,2,1,1],[1]] [1,0,1,0,1,1,0,1,0,0,1,0] => [[3,3,1,1],[2]] [1,0,1,0,1,1,0,1,0,1,0,0] => [[4,1,1],[]] [1,0,1,0,1,1,0,1,1,0,0,0] => [[3,3,1,1],[1]] [1,0,1,0,1,1,1,0,0,0,1,0] => [[2,2,2,1,1],[1]] [1,0,1,0,1,1,1,0,0,1,0,0] => [[3,2,1,1],[]] [1,0,1,0,1,1,1,0,1,0,0,0] => [[2,2,2,1,1],[]] [1,0,1,0,1,1,1,1,0,0,0,0] => [[3,3,1,1],[]] [1,0,1,1,0,0,1,0,1,0,1,0] => [[2,2,2,2,1],[1,1,1]] [1,0,1,1,0,0,1,0,1,1,0,0] => [[3,2,2,1],[1,1]] [1,0,1,1,0,0,1,1,0,0,1,0] => [[3,3,2,1],[2,1]] [1,0,1,1,0,0,1,1,0,1,0,0] => [[4,2,1],[1]] [1,0,1,1,0,0,1,1,1,0,0,0] => [[3,3,2,1],[1,1]] [1,0,1,1,0,1,0,0,1,0,1,0] => [[3,3,3,1],[2,2]] [1,0,1,1,0,1,0,0,1,1,0,0] => [[4,3,1],[2]] [1,0,1,1,0,1,0,1,0,0,1,0] => [[4,4,1],[3]] [1,0,1,1,0,1,0,1,0,1,0,0] => [[5,1],[]] [1,0,1,1,0,1,0,1,1,0,0,0] => [[4,4,1],[2]] [1,0,1,1,0,1,1,0,0,0,1,0] => [[3,3,3,1],[2,1]] [1,0,1,1,0,1,1,0,0,1,0,0] => [[4,3,1],[1]] [1,0,1,1,0,1,1,0,1,0,0,0] => [[3,3,3,1],[1,1]] [1,0,1,1,0,1,1,1,0,0,0,0] => [[4,4,1],[1]] [1,0,1,1,1,0,0,0,1,0,1,0] => [[2,2,2,2,1],[1,1]] [1,0,1,1,1,0,0,0,1,1,0,0] => [[3,2,2,1],[1]] [1,0,1,1,1,0,0,1,0,0,1,0] => [[3,3,2,1],[2]] [1,0,1,1,1,0,0,1,0,1,0,0] => [[4,2,1],[]] [1,0,1,1,1,0,0,1,1,0,0,0] => [[3,3,2,1],[1]] [1,0,1,1,1,0,1,0,0,0,1,0] => [[2,2,2,2,1],[1]] [1,0,1,1,1,0,1,0,0,1,0,0] => [[3,2,2,1],[]] [1,0,1,1,1,0,1,0,1,0,0,0] => [[2,2,2,2,1],[]] [1,0,1,1,1,0,1,1,0,0,0,0] => [[3,3,2,1],[]] [1,0,1,1,1,1,0,0,0,0,1,0] => [[3,3,3,1],[2]] [1,0,1,1,1,1,0,0,0,1,0,0] => [[4,3,1],[]] [1,0,1,1,1,1,0,0,1,0,0,0] => [[3,3,3,1],[1]] [1,0,1,1,1,1,0,1,0,0,0,0] => [[4,4,1],[]] [1,0,1,1,1,1,1,0,0,0,0,0] => [[3,3,3,1],[]] [1,1,0,0,1,0,1,0,1,0,1,0] => [[2,2,2,2,2],[1,1,1,1]] [1,1,0,0,1,0,1,0,1,1,0,0] => [[3,2,2,2],[1,1,1]] [1,1,0,0,1,0,1,1,0,0,1,0] => [[3,3,2,2],[2,1,1]] [1,1,0,0,1,0,1,1,0,1,0,0] => [[4,2,2],[1,1]] [1,1,0,0,1,0,1,1,1,0,0,0] => [[3,3,2,2],[1,1,1]] [1,1,0,0,1,1,0,0,1,0,1,0] => [[3,3,3,2],[2,2,1]] [1,1,0,0,1,1,0,0,1,1,0,0] => [[4,3,2],[2,1]] [1,1,0,0,1,1,0,1,0,0,1,0] => [[4,4,2],[3,1]] [1,1,0,0,1,1,0,1,0,1,0,0] => [[5,2],[1]] [1,1,0,0,1,1,0,1,1,0,0,0] => [[4,4,2],[2,1]] [1,1,0,0,1,1,1,0,0,0,1,0] => [[3,3,3,2],[2,1,1]] [1,1,0,0,1,1,1,0,0,1,0,0] => [[4,3,2],[1,1]] [1,1,0,0,1,1,1,0,1,0,0,0] => [[3,3,3,2],[1,1,1]] [1,1,0,0,1,1,1,1,0,0,0,0] => [[4,4,2],[1,1]] [1,1,0,1,0,0,1,0,1,0,1,0] => [[3,3,3,3],[2,2,2]] [1,1,0,1,0,0,1,0,1,1,0,0] => [[4,3,3],[2,2]] [1,1,0,1,0,0,1,1,0,0,1,0] => [[4,4,3],[3,2]] [1,1,0,1,0,0,1,1,0,1,0,0] => [[5,3],[2]] [1,1,0,1,0,0,1,1,1,0,0,0] => [[4,4,3],[2,2]] [1,1,0,1,0,1,0,0,1,0,1,0] => [[4,4,4],[3,3]] [1,1,0,1,0,1,0,0,1,1,0,0] => [[5,4],[3]] [1,1,0,1,0,1,0,1,0,0,1,0] => [[5,5],[4]] [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] => [[5,5],[3]] [1,1,0,1,0,1,1,0,0,0,1,0] => [[4,4,4],[3,2]] [1,1,0,1,0,1,1,0,0,1,0,0] => [[5,4],[2]] [1,1,0,1,0,1,1,0,1,0,0,0] => [[4,4,4],[2,2]] [1,1,0,1,0,1,1,1,0,0,0,0] => [[5,5],[2]] [1,1,0,1,1,0,0,0,1,0,1,0] => [[3,3,3,3],[2,2,1]] [1,1,0,1,1,0,0,0,1,1,0,0] => [[4,3,3],[2,1]] [1,1,0,1,1,0,0,1,0,0,1,0] => [[4,4,3],[3,1]] [1,1,0,1,1,0,0,1,0,1,0,0] => [[5,3],[1]] [1,1,0,1,1,0,0,1,1,0,0,0] => [[4,4,3],[2,1]] [1,1,0,1,1,0,1,0,0,0,1,0] => [[3,3,3,3],[2,1,1]] [1,1,0,1,1,0,1,0,0,1,0,0] => [[4,3,3],[1,1]] [1,1,0,1,1,0,1,0,1,0,0,0] => [[3,3,3,3],[1,1,1]] [1,1,0,1,1,0,1,1,0,0,0,0] => [[4,4,3],[1,1]] [1,1,0,1,1,1,0,0,0,0,1,0] => [[4,4,4],[3,1]] [1,1,0,1,1,1,0,0,0,1,0,0] => [[5,4],[1]] [1,1,0,1,1,1,0,0,1,0,0,0] => [[4,4,4],[2,1]] [1,1,0,1,1,1,0,1,0,0,0,0] => [[5,5],[1]] [1,1,0,1,1,1,1,0,0,0,0,0] => [[4,4,4],[1,1]] [1,1,1,0,0,0,1,0,1,0,1,0] => [[2,2,2,2,2],[1,1,1]] [1,1,1,0,0,0,1,0,1,1,0,0] => [[3,2,2,2],[1,1]] [1,1,1,0,0,0,1,1,0,0,1,0] => [[3,3,2,2],[2,1]] [1,1,1,0,0,0,1,1,0,1,0,0] => [[4,2,2],[1]] [1,1,1,0,0,0,1,1,1,0,0,0] => [[3,3,2,2],[1,1]] [1,1,1,0,0,1,0,0,1,0,1,0] => [[3,3,3,2],[2,2]] [1,1,1,0,0,1,0,0,1,1,0,0] => [[4,3,2],[2]] [1,1,1,0,0,1,0,1,0,0,1,0] => [[4,4,2],[3]] [1,1,1,0,0,1,0,1,0,1,0,0] => [[5,2],[]] [1,1,1,0,0,1,0,1,1,0,0,0] => [[4,4,2],[2]] [1,1,1,0,0,1,1,0,0,0,1,0] => [[3,3,3,2],[2,1]] [1,1,1,0,0,1,1,0,0,1,0,0] => [[4,3,2],[1]] [1,1,1,0,0,1,1,0,1,0,0,0] => [[3,3,3,2],[1,1]] [1,1,1,0,0,1,1,1,0,0,0,0] => [[4,4,2],[1]] [1,1,1,0,1,0,0,0,1,0,1,0] => [[2,2,2,2,2],[1,1]] [1,1,1,0,1,0,0,0,1,1,0,0] => [[3,2,2,2],[1]] [1,1,1,0,1,0,0,1,0,0,1,0] => [[3,3,2,2],[2]] [1,1,1,0,1,0,0,1,0,1,0,0] => [[4,2,2],[]] [1,1,1,0,1,0,0,1,1,0,0,0] => [[3,3,2,2],[1]] [1,1,1,0,1,0,1,0,0,0,1,0] => [[2,2,2,2,2],[1]] [1,1,1,0,1,0,1,0,0,1,0,0] => [[3,2,2,2],[]] [1,1,1,0,1,0,1,0,1,0,0,0] => [[2,2,2,2,2],[]] [1,1,1,0,1,0,1,1,0,0,0,0] => [[3,3,2,2],[]] [1,1,1,0,1,1,0,0,0,0,1,0] => [[3,3,3,2],[2]] [1,1,1,0,1,1,0,0,0,1,0,0] => [[4,3,2],[]] [1,1,1,0,1,1,0,0,1,0,0,0] => [[3,3,3,2],[1]] [1,1,1,0,1,1,0,1,0,0,0,0] => [[4,4,2],[]] [1,1,1,0,1,1,1,0,0,0,0,0] => [[3,3,3,2],[]] [1,1,1,1,0,0,0,0,1,0,1,0] => [[3,3,3,3],[2,2]] [1,1,1,1,0,0,0,0,1,1,0,0] => [[4,3,3],[2]] [1,1,1,1,0,0,0,1,0,0,1,0] => [[4,4,3],[3]] [1,1,1,1,0,0,0,1,0,1,0,0] => [[5,3],[]] [1,1,1,1,0,0,0,1,1,0,0,0] => [[4,4,3],[2]] [1,1,1,1,0,0,1,0,0,0,1,0] => [[3,3,3,3],[2,1]] [1,1,1,1,0,0,1,0,0,1,0,0] => [[4,3,3],[1]] [1,1,1,1,0,0,1,0,1,0,0,0] => [[3,3,3,3],[1,1]] [1,1,1,1,0,0,1,1,0,0,0,0] => [[4,4,3],[1]] [1,1,1,1,0,1,0,0,0,0,1,0] => [[4,4,4],[3]] [1,1,1,1,0,1,0,0,0,1,0,0] => [[5,4],[]] [1,1,1,1,0,1,0,0,1,0,0,0] => [[4,4,4],[2]] [1,1,1,1,0,1,0,1,0,0,0,0] => [[5,5],[]] [1,1,1,1,0,1,1,0,0,0,0,0] => [[4,4,4],[1]] [1,1,1,1,1,0,0,0,0,0,1,0] => [[3,3,3,3],[2]] [1,1,1,1,1,0,0,0,0,1,0,0] => [[4,3,3],[]] [1,1,1,1,1,0,0,0,1,0,0,0] => [[3,3,3,3],[1]] [1,1,1,1,1,0,0,1,0,0,0,0] => [[4,4,3],[]] [1,1,1,1,1,0,1,0,0,0,0,0] => [[3,3,3,3],[]] [1,1,1,1,1,1,0,0,0,0,0,0] => [[4,4,4],[]] [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] => [[2,1,1,1,1,1],[]] [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[2,2,1,1,1,1],[1]] [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[3,1,1,1,1],[]] [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [[2,2,1,1,1,1],[]] [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [[2,2,2,1,1,1],[1,1]] [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [[3,2,1,1,1],[1]] [1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [[3,3,1,1,1],[2]] [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [[4,1,1,1],[]] [1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [[3,3,1,1,1],[1]] [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [[2,2,2,1,1,1],[1]] [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [[3,2,1,1,1],[]] [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [[2,2,2,1,1,1],[]] [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [[3,3,1,1,1],[]] [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [[2,2,2,2,1,1],[1,1,1]] [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [[3,2,2,1,1],[1,1]] [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [[3,3,2,1,1],[2,1]] [1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [[4,2,1,1],[1]] [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [[3,3,2,1,1],[1,1]] [1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [[3,3,3,1,1],[2,2]] [1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [[4,3,1,1],[2]] [1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [[4,4,1,1],[3]] [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [[5,1,1],[]] [1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [[4,4,1,1],[2]] [1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [[3,3,3,1,1],[2,1]] [1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [[4,3,1,1],[1]] [1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [[3,3,3,1,1],[1,1]] [1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [[4,4,1,1],[1]] [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [[2,2,2,2,1,1],[1,1]] [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [[3,2,2,1,1],[1]] [1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [[3,3,2,1,1],[2]] [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [[4,2,1,1],[]] [1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [[3,3,2,1,1],[1]] [1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [[2,2,2,2,1,1],[1]] [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [[3,2,2,1,1],[]] [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [[2,2,2,2,1,1],[]] [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [[3,3,2,1,1],[]] [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [[3,3,3,1,1],[2]] [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [[4,3,1,1],[]] [1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [[3,3,3,1,1],[1]] [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [[4,4,1,1],[]] [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [[3,3,3,1,1],[]] [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [[2,2,2,2,2,1],[1,1,1,1]] [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [[3,2,2,2,1],[1,1,1]] [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [[3,3,2,2,1],[2,1,1]] [1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [[4,2,2,1],[1,1]] [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [[3,3,2,2,1],[1,1,1]] [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [[3,3,3,2,1],[2,2,1]] [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[4,3,2,1],[2,1]] [1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [[4,4,2,1],[3,1]] [1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [[5,2,1],[1]] [1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [[4,4,2,1],[2,1]] [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [[3,3,3,2,1],[2,1,1]] [1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [[4,3,2,1],[1,1]] [1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [[3,3,3,2,1],[1,1,1]] [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [[4,4,2,1],[1,1]] [1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [[3,3,3,3,1],[2,2,2]] [1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [[4,3,3,1],[2,2]] [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [[4,4,3,1],[3,2]] [1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [[5,3,1],[2]] [1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [[4,4,3,1],[2,2]] [1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [[4,4,4,1],[3,3]] [1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [[5,4,1],[3]] [1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [[5,5,1],[4]] [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [[6,1],[]] [1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [[5,5,1],[3]] [1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [[4,4,4,1],[3,2]] [1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [[5,4,1],[2]] [1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [[4,4,4,1],[2,2]] [1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [[5,5,1],[2]] [1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [[3,3,3,3,1],[2,2,1]] [1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [[4,3,3,1],[2,1]] [1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [[4,4,3,1],[3,1]] [1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [[5,3,1],[1]] [1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [[4,4,3,1],[2,1]] [1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [[3,3,3,3,1],[2,1,1]] [1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [[4,3,3,1],[1,1]] [1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [[3,3,3,3,1],[1,1,1]] [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [[4,4,3,1],[1,1]] [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [[4,4,4,1],[3,1]] [1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [[5,4,1],[1]] [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [[4,4,4,1],[2,1]] [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [[5,5,1],[1]] [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [[4,4,4,1],[1,1]] [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [[2,2,2,2,2,1],[1,1,1]] [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [[3,2,2,2,1],[1,1]] [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [[3,3,2,2,1],[2,1]] [1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [[4,2,2,1],[1]] [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [[3,3,2,2,1],[1,1]] [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [[3,3,3,2,1],[2,2]] [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [[4,3,2,1],[2]] [1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [[4,4,2,1],[3]] [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [[5,2,1],[]] [1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [[4,4,2,1],[2]] [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [[3,3,3,2,1],[2,1]] [1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [[4,3,2,1],[1]] [1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [[3,3,3,2,1],[1,1]] [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [[4,4,2,1],[1]] [1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [[2,2,2,2,2,1],[1,1]] [1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [[3,2,2,2,1],[1]] [1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [[3,3,2,2,1],[2]] [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [[4,2,2,1],[]] [1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [[3,3,2,2,1],[1]] [1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [[2,2,2,2,2,1],[1]] [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [[3,2,2,2,1],[]] [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [[2,2,2,2,2,1],[]] [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [[3,3,2,2,1],[]] [1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [[3,3,3,2,1],[2]] [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [[4,3,2,1],[]] [1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [[3,3,3,2,1],[1]] [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [[4,4,2,1],[]] [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [[3,3,3,2,1],[]] [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [[3,3,3,3,1],[2,2]] [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [[4,3,3,1],[2]] [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [[4,4,3,1],[3]] [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [[5,3,1],[]] [1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [[4,4,3,1],[2]] [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [[3,3,3,3,1],[2,1]] [1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [[4,3,3,1],[1]] [1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [[3,3,3,3,1],[1,1]] [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [[4,4,3,1],[1]] [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [[4,4,4,1],[3]] [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [[5,4,1],[]] [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [[4,4,4,1],[2]] [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [[5,5,1],[]] [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [[4,4,4,1],[1]] [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [[3,3,3,3,1],[2]] [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [[4,3,3,1],[]] [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [[3,3,3,3,1],[1]] [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [[4,4,3,1],[]] [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [[3,3,3,3,1],[]] [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[4,4,4,1],[]] [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[2,2,2,2,2,2],[1,1,1,1,1]] [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [[3,2,2,2,2],[1,1,1,1]] [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [[3,3,2,2,2],[2,1,1,1]] [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [[4,2,2,2],[1,1,1]] [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [[3,3,2,2,2],[1,1,1,1]] [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [[3,3,3,2,2],[2,2,1,1]] [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [[4,3,2,2],[2,1,1]] [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [[4,4,2,2],[3,1,1]] [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [[5,2,2],[1,1]] [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [[4,4,2,2],[2,1,1]] [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [[3,3,3,2,2],[2,1,1,1]] [1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [[4,3,2,2],[1,1,1]] [1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [[3,3,3,2,2],[1,1,1,1]] [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [[4,4,2,2],[1,1,1]] [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [[3,3,3,3,2],[2,2,2,1]] [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [[4,3,3,2],[2,2,1]] [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[4,4,3,2],[3,2,1]] [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [[5,3,2],[2,1]] [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [[4,4,3,2],[2,2,1]] [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [[4,4,4,2],[3,3,1]] [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [[5,4,2],[3,1]] [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [[5,5,2],[4,1]] [1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [[6,2],[1]] [1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [[5,5,2],[3,1]] [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [[4,4,4,2],[3,2,1]] [1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [[5,4,2],[2,1]] [1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [[4,4,4,2],[2,2,1]] [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [[5,5,2],[2,1]] [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [[3,3,3,3,2],[2,2,1,1]] [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [[4,3,3,2],[2,1,1]] [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [[4,4,3,2],[3,1,1]] [1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [[5,3,2],[1,1]] [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [[4,4,3,2],[2,1,1]] [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [[3,3,3,3,2],[2,1,1,1]] [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [[4,3,3,2],[1,1,1]] [1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [[3,3,3,3,2],[1,1,1,1]] [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [[4,4,3,2],[1,1,1]] [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [[4,4,4,2],[3,1,1]] [1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [[5,4,2],[1,1]] [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [[4,4,4,2],[2,1,1]] [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [[5,5,2],[1,1]] [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [[4,4,4,2],[1,1,1]] [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[3,3,3,3,3],[2,2,2,2]] [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [[4,3,3,3],[2,2,2]] [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [[4,4,3,3],[3,2,2]] [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [[5,3,3],[2,2]] [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [[4,4,3,3],[2,2,2]] [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [[4,4,4,3],[3,3,2]] [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [[5,4,3],[3,2]] [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [[5,5,3],[4,2]] [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [[6,3],[2]] [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [[5,5,3],[3,2]] [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [[4,4,4,3],[3,2,2]] [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [[5,4,3],[2,2]] [1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [[4,4,4,3],[2,2,2]] [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [[5,5,3],[2,2]] [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [[4,4,4,4],[3,3,3]] [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [[5,4,4],[3,3]] [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [[5,5,4],[4,3]] [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [[6,4],[3]] [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [[5,5,4],[3,3]] [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [[5,5,5],[4,4]] [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [[6,5],[4]] [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[6,6],[5]] [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] => [[6,6],[4]] [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [[5,5,5],[4,3]] [1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [[6,5],[3]] [1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [[5,5,5],[3,3]] [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [[6,6],[3]] [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [[4,4,4,4],[3,3,2]] [1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [[5,4,4],[3,2]] [1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [[5,5,4],[4,2]] [1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [[6,4],[2]] [1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [[5,5,4],[3,2]] [1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [[4,4,4,4],[3,2,2]] [1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [[5,4,4],[2,2]] [1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [[4,4,4,4],[2,2,2]] [1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [[5,5,4],[2,2]] [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [[5,5,5],[4,2]] [1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [[6,5],[2]] [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [[5,5,5],[3,2]] [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [[6,6],[2]] [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [[5,5,5],[2,2]] [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [[3,3,3,3,3],[2,2,2,1]] [1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [[4,3,3,3],[2,2,1]] [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [[4,4,3,3],[3,2,1]] [1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [[5,3,3],[2,1]] [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [[4,4,3,3],[2,2,1]] [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [[4,4,4,3],[3,3,1]] [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [[5,4,3],[3,1]] [1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [[5,5,3],[4,1]] [1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [[6,3],[1]] [1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [[5,5,3],[3,1]] [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [[4,4,4,3],[3,2,1]] [1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [[5,4,3],[2,1]] [1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [[4,4,4,3],[2,2,1]] [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [[5,5,3],[2,1]] [1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [[3,3,3,3,3],[2,2,1,1]] [1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [[4,3,3,3],[2,1,1]] [1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [[4,4,3,3],[3,1,1]] [1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [[5,3,3],[1,1]] [1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [[4,4,3,3],[2,1,1]] [1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [[3,3,3,3,3],[2,1,1,1]] [1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [[4,3,3,3],[1,1,1]] [1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [[3,3,3,3,3],[1,1,1,1]] [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [[4,4,3,3],[1,1,1]] [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [[4,4,4,3],[3,1,1]] [1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [[5,4,3],[1,1]] [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [[4,4,4,3],[2,1,1]] [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [[5,5,3],[1,1]] [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [[4,4,4,3],[1,1,1]] [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [[4,4,4,4],[3,3,1]] [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [[5,4,4],[3,1]] [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [[5,5,4],[4,1]] [1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [[6,4],[1]] [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [[5,5,4],[3,1]] [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [[4,4,4,4],[3,2,1]] [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [[5,4,4],[2,1]] [1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [[4,4,4,4],[2,2,1]] [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [[5,5,4],[2,1]] [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [[5,5,5],[4,1]] [1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [[6,5],[1]] [1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [[5,5,5],[3,1]] [1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [[6,6],[1]] [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [[5,5,5],[2,1]] [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [[4,4,4,4],[3,1,1]] [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [[5,4,4],[1,1]] [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [[4,4,4,4],[2,1,1]] [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [[5,5,4],[1,1]] [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [[4,4,4,4],[1,1,1]] [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [[5,5,5],[1,1]] [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [[2,2,2,2,2,2],[1,1,1,1]] [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [[3,2,2,2,2],[1,1,1]] [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [[3,3,2,2,2],[2,1,1]] [1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [[4,2,2,2],[1,1]] [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [[3,3,2,2,2],[1,1,1]] [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [[3,3,3,2,2],[2,2,1]] [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [[4,3,2,2],[2,1]] [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [[4,4,2,2],[3,1]] [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [[5,2,2],[1]] [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [[4,4,2,2],[2,1]] [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [[3,3,3,2,2],[2,1,1]] [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [[4,3,2,2],[1,1]] [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [[3,3,3,2,2],[1,1,1]] [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [[4,4,2,2],[1,1]] [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [[3,3,3,3,2],[2,2,2]] [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [[4,3,3,2],[2,2]] [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [[4,4,3,2],[3,2]] [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [[5,3,2],[2]] [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [[4,4,3,2],[2,2]] [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [[4,4,4,2],[3,3]] [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [[5,4,2],[3]] [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [[5,5,2],[4]] [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[6,2],[]] [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [[5,5,2],[3]] [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [[4,4,4,2],[3,2]] [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [[5,4,2],[2]] [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [[4,4,4,2],[2,2]] [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [[5,5,2],[2]] [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [[3,3,3,3,2],[2,2,1]] [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [[4,3,3,2],[2,1]] [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [[4,4,3,2],[3,1]] [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [[5,3,2],[1]] [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [[4,4,3,2],[2,1]] [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [[3,3,3,3,2],[2,1,1]] [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [[4,3,3,2],[1,1]] [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [[3,3,3,3,2],[1,1,1]] [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [[4,4,3,2],[1,1]] [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [[4,4,4,2],[3,1]] [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [[5,4,2],[1]] [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [[4,4,4,2],[2,1]] [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [[5,5,2],[1]] [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [[4,4,4,2],[1,1]] [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [[2,2,2,2,2,2],[1,1,1]] [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [[3,2,2,2,2],[1,1]] [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [[3,3,2,2,2],[2,1]] [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [[4,2,2,2],[1]] [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [[3,3,2,2,2],[1,1]] [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [[3,3,3,2,2],[2,2]] [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [[4,3,2,2],[2]] [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [[4,4,2,2],[3]] [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [[5,2,2],[]] [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [[4,4,2,2],[2]] [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [[3,3,3,2,2],[2,1]] [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [[4,3,2,2],[1]] [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [[3,3,3,2,2],[1,1]] [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [[4,4,2,2],[1]] [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [[2,2,2,2,2,2],[1,1]] [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [[3,2,2,2,2],[1]] [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [[3,3,2,2,2],[2]] [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [[4,2,2,2],[]] [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [[3,3,2,2,2],[1]] [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [[2,2,2,2,2,2],[1]] [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [[3,2,2,2,2],[]] [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[2,2,2,2,2,2],[]] [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [[3,3,2,2,2],[]] [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [[3,3,3,2,2],[2]] [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [[4,3,2,2],[]] [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [[3,3,3,2,2],[1]] [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[4,4,2,2],[]] [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [[3,3,3,2,2],[]] [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [[3,3,3,3,2],[2,2]] [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [[4,3,3,2],[2]] [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [[4,4,3,2],[3]] [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[5,3,2],[]] [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [[4,4,3,2],[2]] [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [[3,3,3,3,2],[2,1]] [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [[4,3,3,2],[1]] [1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [[3,3,3,3,2],[1,1]] [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [[4,4,3,2],[1]] [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [[4,4,4,2],[3]] [1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [[5,4,2],[]] [1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [[4,4,4,2],[2]] [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [[5,5,2],[]] [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [[4,4,4,2],[1]] [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [[3,3,3,3,2],[2]] [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [[4,3,3,2],[]] [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [[3,3,3,3,2],[1]] [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [[4,4,3,2],[]] [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [[3,3,3,3,2],[]] [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [[4,4,4,2],[]] [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [[3,3,3,3,3],[2,2,2]] [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [[4,3,3,3],[2,2]] [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [[4,4,3,3],[3,2]] [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [[5,3,3],[2]] [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [[4,4,3,3],[2,2]] [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [[4,4,4,3],[3,3]] [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [[5,4,3],[3]] [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [[5,5,3],[4]] [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [[6,3],[]] [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [[5,5,3],[3]] [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [[4,4,4,3],[3,2]] [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [[5,4,3],[2]] [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [[4,4,4,3],[2,2]] [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [[5,5,3],[2]] [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [[3,3,3,3,3],[2,2,1]] [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [[4,3,3,3],[2,1]] [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [[4,4,3,3],[3,1]] [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [[5,3,3],[1]] [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [[4,4,3,3],[2,1]] [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [[3,3,3,3,3],[2,1,1]] [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [[4,3,3,3],[1,1]] [1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [[3,3,3,3,3],[1,1,1]] [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [[4,4,3,3],[1,1]] [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [[4,4,4,3],[3,1]] [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [[5,4,3],[1]] [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [[4,4,4,3],[2,1]] [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [[5,5,3],[1]] [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [[4,4,4,3],[1,1]] [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [[4,4,4,4],[3,3]] [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [[5,4,4],[3]] [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [[5,5,4],[4]] [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[6,4],[]] [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [[5,5,4],[3]] [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [[4,4,4,4],[3,2]] [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [[5,4,4],[2]] [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [[4,4,4,4],[2,2]] [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [[5,5,4],[2]] [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [[5,5,5],[4]] [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [[6,5],[]] [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [[5,5,5],[3]] [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [[6,6],[]] [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [[5,5,5],[2]] [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [[4,4,4,4],[3,1]] [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [[5,4,4],[1]] [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [[4,4,4,4],[2,1]] [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [[5,5,4],[1]] [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [[4,4,4,4],[1,1]] [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [[5,5,5],[1]] [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [[3,3,3,3,3],[2,2]] [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [[4,3,3,3],[2]] [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [[4,4,3,3],[3]] [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [[5,3,3],[]] [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [[4,4,3,3],[2]] [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [[3,3,3,3,3],[2,1]] [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [[4,3,3,3],[1]] [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [[3,3,3,3,3],[1,1]] [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [[4,4,3,3],[1]] [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [[4,4,4,3],[3]] [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [[5,4,3],[]] [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [[4,4,4,3],[2]] [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [[5,5,3],[]] [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [[4,4,4,3],[1]] [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [[3,3,3,3,3],[2]] [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [[4,3,3,3],[]] [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [[3,3,3,3,3],[1]] [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [[4,4,3,3],[]] [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [[3,3,3,3,3],[]] [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [[4,4,4,3],[]] [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[4,4,4,4],[3]] [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [[5,4,4],[]] [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [[4,4,4,4],[2]] [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [[5,5,4],[]] [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [[4,4,4,4],[1]] [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [[5,5,5],[]] [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[4,4,4,4],[]] [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] => [[2,1,1,1,1,1,1],[]] [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[2,2,1,1,1,1,1],[1]] [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[3,1,1,1,1,1],[]] [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [[2,2,1,1,1,1,1],[]] [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [[2,2,2,1,1,1,1],[1,1]] [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [[3,2,1,1,1,1],[1]] [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [[3,3,1,1,1,1],[2]] [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [[4,1,1,1,1],[]] [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [[3,3,1,1,1,1],[1]] [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [[2,2,2,1,1,1,1],[1]] [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [[3,2,1,1,1,1],[]] [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [[2,2,2,1,1,1,1],[]] [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [[3,3,1,1,1,1],[]] [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [[2,2,2,2,1,1,1],[1,1,1]] [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [[3,2,2,1,1,1],[1,1]] [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [[3,3,2,1,1,1],[2,1]] [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [[4,2,1,1,1],[1]] [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [[3,3,2,1,1,1],[1,1]] [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [[3,3,3,1,1,1],[2,2]] [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [[4,3,1,1,1],[2]] [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [[4,4,1,1,1],[3]] [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [[5,1,1,1],[]] [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [[4,4,1,1,1],[2]] [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [[3,3,3,1,1,1],[2,1]] [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [[4,3,1,1,1],[1]] [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [[3,3,3,1,1,1],[1,1]] [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [[4,4,1,1,1],[1]] [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [[2,2,2,2,1,1,1],[1,1]] [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [[3,2,2,1,1,1],[1]] [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [[3,3,2,1,1,1],[2]] [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [[4,2,1,1,1],[]] [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [[3,3,2,1,1,1],[1]] [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [[2,2,2,2,1,1,1],[1]] [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [[3,2,2,1,1,1],[]] [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [[2,2,2,2,1,1,1],[]] [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [[3,3,2,1,1,1],[]] [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [[3,3,3,1,1,1],[2]] [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [[4,3,1,1,1],[]] [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [[3,3,3,1,1,1],[1]] [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [[4,4,1,1,1],[]] [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [[3,3,3,1,1,1],[]] [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [[2,2,2,2,2,1,1],[1,1,1,1]] [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [[3,2,2,2,1,1],[1,1,1]] [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [[3,3,2,2,1,1],[2,1,1]] [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [[4,2,2,1,1],[1,1]] [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [[3,3,2,2,1,1],[1,1,1]] [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [[3,3,3,2,1,1],[2,2,1]] [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[4,3,2,1,1],[2,1]] [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [[4,4,2,1,1],[3,1]] [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [[5,2,1,1],[1]] [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [[4,4,2,1,1],[2,1]] [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [[3,3,3,2,1,1],[2,1,1]] [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [[4,3,2,1,1],[1,1]] [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [[3,3,3,2,1,1],[1,1,1]] [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [[4,4,2,1,1],[1,1]] [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [[3,3,3,3,1,1],[2,2,2]] [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [[4,3,3,1,1],[2,2]] [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [[4,4,3,1,1],[3,2]] [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [[5,3,1,1],[2]] [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [[4,4,3,1,1],[2,2]] [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [[4,4,4,1,1],[3,3]] [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [[5,4,1,1],[3]] [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [[5,5,1,1],[4]] [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [[6,1,1],[]] [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [[5,5,1,1],[3]] [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [[4,4,4,1,1],[3,2]] [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [[5,4,1,1],[2]] [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [[4,4,4,1,1],[2,2]] [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [[5,5,1,1],[2]] [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [[3,3,3,3,1,1],[2,2,1]] [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [[4,3,3,1,1],[2,1]] [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [[4,4,3,1,1],[3,1]] [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [[5,3,1,1],[1]] [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [[4,4,3,1,1],[2,1]] [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [[3,3,3,3,1,1],[2,1,1]] [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [[4,3,3,1,1],[1,1]] [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [[3,3,3,3,1,1],[1,1,1]] [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [[4,4,3,1,1],[1,1]] [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [[4,4,4,1,1],[3,1]] [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [[5,4,1,1],[1]] [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [[4,4,4,1,1],[2,1]] [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [[5,5,1,1],[1]] [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [[4,4,4,1,1],[1,1]] [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [[2,2,2,2,2,1,1],[1,1,1]] [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [[3,2,2,2,1,1],[1,1]] [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [[3,3,2,2,1,1],[2,1]] [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [[4,2,2,1,1],[1]] [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [[3,3,2,2,1,1],[1,1]] [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [[3,3,3,2,1,1],[2,2]] [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [[4,3,2,1,1],[2]] [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [[4,4,2,1,1],[3]] [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [[5,2,1,1],[]] [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [[4,4,2,1,1],[2]] [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [[3,3,3,2,1,1],[2,1]] [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [[4,3,2,1,1],[1]] [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [[3,3,3,2,1,1],[1,1]] [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [[4,4,2,1,1],[1]] [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [[2,2,2,2,2,1,1],[1,1]] [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [[3,2,2,2,1,1],[1]] [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [[3,3,2,2,1,1],[2]] [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [[4,2,2,1,1],[]] [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [[3,3,2,2,1,1],[1]] [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [[2,2,2,2,2,1,1],[1]] [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [[3,2,2,2,1,1],[]] [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [[2,2,2,2,2,1,1],[]] [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [[3,3,2,2,1,1],[]] [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [[3,3,3,2,1,1],[2]] [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [[4,3,2,1,1],[]] [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [[3,3,3,2,1,1],[1]] [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [[4,4,2,1,1],[]] [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [[3,3,3,2,1,1],[]] [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [[3,3,3,3,1,1],[2,2]] [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [[4,3,3,1,1],[2]] [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [[4,4,3,1,1],[3]] [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [[5,3,1,1],[]] [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [[4,4,3,1,1],[2]] [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [[3,3,3,3,1,1],[2,1]] [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [[4,3,3,1,1],[1]] [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [[3,3,3,3,1,1],[1,1]] [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [[4,4,3,1,1],[1]] [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [[4,4,4,1,1],[3]] [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [[5,4,1,1],[]] [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [[4,4,4,1,1],[2]] [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [[5,5,1,1],[]] [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [[4,4,4,1,1],[1]] [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [[3,3,3,3,1,1],[2]] [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [[4,3,3,1,1],[]] [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [[3,3,3,3,1,1],[1]] [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [[4,4,3,1,1],[]] [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [[3,3,3,3,1,1],[]] [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[4,4,4,1,1],[]] [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[2,2,2,2,2,2,1],[1,1,1,1,1]] [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [[3,2,2,2,2,1],[1,1,1,1]] [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [[3,3,2,2,2,1],[2,1,1,1]] [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [[4,2,2,2,1],[1,1,1]] [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [[3,3,2,2,2,1],[1,1,1,1]] [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [[3,3,3,2,2,1],[2,2,1,1]] [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [[4,3,2,2,1],[2,1,1]] [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [[4,4,2,2,1],[3,1,1]] [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [[5,2,2,1],[1,1]] [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [[4,4,2,2,1],[2,1,1]] [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [[3,3,3,2,2,1],[2,1,1,1]] [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [[4,3,2,2,1],[1,1,1]] [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [[3,3,3,2,2,1],[1,1,1,1]] [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [[4,4,2,2,1],[1,1,1]] [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [[3,3,3,3,2,1],[2,2,2,1]] [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [[4,3,3,2,1],[2,2,1]] [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[4,4,3,2,1],[3,2,1]] [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [[5,3,2,1],[2,1]] [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [[4,4,3,2,1],[2,2,1]] [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [[4,4,4,2,1],[3,3,1]] [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [[5,4,2,1],[3,1]] [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [[5,5,2,1],[4,1]] [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [[6,2,1],[1]] [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [[5,5,2,1],[3,1]] [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [[4,4,4,2,1],[3,2,1]] [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [[5,4,2,1],[2,1]] [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [[4,4,4,2,1],[2,2,1]] [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [[5,5,2,1],[2,1]] [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [[3,3,3,3,2,1],[2,2,1,1]] [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [[4,3,3,2,1],[2,1,1]] [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [[4,4,3,2,1],[3,1,1]] [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [[5,3,2,1],[1,1]] [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [[4,4,3,2,1],[2,1,1]] [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [[3,3,3,3,2,1],[2,1,1,1]] [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [[4,3,3,2,1],[1,1,1]] [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [[3,3,3,3,2,1],[1,1,1,1]] [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [[4,4,3,2,1],[1,1,1]] [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [[4,4,4,2,1],[3,1,1]] [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [[5,4,2,1],[1,1]] [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [[4,4,4,2,1],[2,1,1]] [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [[5,5,2,1],[1,1]] [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [[4,4,4,2,1],[1,1,1]] [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[3,3,3,3,3,1],[2,2,2,2]] [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [[4,3,3,3,1],[2,2,2]] [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [[4,4,3,3,1],[3,2,2]] [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [[5,3,3,1],[2,2]] [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [[4,4,3,3,1],[2,2,2]] [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [[4,4,4,3,1],[3,3,2]] [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [[5,4,3,1],[3,2]] [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [[5,5,3,1],[4,2]] [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [[6,3,1],[2]] [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [[5,5,3,1],[3,2]] [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [[4,4,4,3,1],[3,2,2]] [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [[5,4,3,1],[2,2]] [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [[4,4,4,3,1],[2,2,2]] [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [[5,5,3,1],[2,2]] [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [[4,4,4,4,1],[3,3,3]] [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [[5,4,4,1],[3,3]] [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [[5,5,4,1],[4,3]] [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [[6,4,1],[3]] [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [[5,5,4,1],[3,3]] [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [[5,5,5,1],[4,4]] [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [[6,5,1],[4]] [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[6,6,1],[5]] [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[7,1],[]] [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[6,6,1],[4]] [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [[5,5,5,1],[4,3]] [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [[6,5,1],[3]] [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [[5,5,5,1],[3,3]] [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [[6,6,1],[3]] [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [[4,4,4,4,1],[3,3,2]] [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [[5,4,4,1],[3,2]] [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [[5,5,4,1],[4,2]] [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [[6,4,1],[2]] [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [[5,5,4,1],[3,2]] [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [[4,4,4,4,1],[3,2,2]] [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [[5,4,4,1],[2,2]] [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [[4,4,4,4,1],[2,2,2]] [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [[5,5,4,1],[2,2]] [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [[5,5,5,1],[4,2]] [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [[6,5,1],[2]] [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [[5,5,5,1],[3,2]] [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [[6,6,1],[2]] [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [[5,5,5,1],[2,2]] [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [[3,3,3,3,3,1],[2,2,2,1]] [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [[4,3,3,3,1],[2,2,1]] [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [[4,4,3,3,1],[3,2,1]] [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [[5,3,3,1],[2,1]] [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [[4,4,3,3,1],[2,2,1]] [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [[4,4,4,3,1],[3,3,1]] [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [[5,4,3,1],[3,1]] [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [[5,5,3,1],[4,1]] [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [[6,3,1],[1]] [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [[5,5,3,1],[3,1]] [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [[4,4,4,3,1],[3,2,1]] [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [[5,4,3,1],[2,1]] [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [[4,4,4,3,1],[2,2,1]] [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [[5,5,3,1],[2,1]] [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [[3,3,3,3,3,1],[2,2,1,1]] [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [[4,3,3,3,1],[2,1,1]] [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [[4,4,3,3,1],[3,1,1]] [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [[5,3,3,1],[1,1]] [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [[4,4,3,3,1],[2,1,1]] [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [[3,3,3,3,3,1],[2,1,1,1]] [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [[4,3,3,3,1],[1,1,1]] [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [[3,3,3,3,3,1],[1,1,1,1]] [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [[4,4,3,3,1],[1,1,1]] [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [[4,4,4,3,1],[3,1,1]] [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [[5,4,3,1],[1,1]] [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [[4,4,4,3,1],[2,1,1]] [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [[5,5,3,1],[1,1]] [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [[4,4,4,3,1],[1,1,1]] [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [[4,4,4,4,1],[3,3,1]] [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [[5,4,4,1],[3,1]] [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [[5,5,4,1],[4,1]] [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [[6,4,1],[1]] [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [[5,5,4,1],[3,1]] [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [[4,4,4,4,1],[3,2,1]] [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [[5,4,4,1],[2,1]] [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [[4,4,4,4,1],[2,2,1]] [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [[5,5,4,1],[2,1]] [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [[5,5,5,1],[4,1]] [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [[6,5,1],[1]] [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [[5,5,5,1],[3,1]] [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [[6,6,1],[1]] [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [[5,5,5,1],[2,1]] [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [[4,4,4,4,1],[3,1,1]] [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [[5,4,4,1],[1,1]] [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [[4,4,4,4,1],[2,1,1]] [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [[5,5,4,1],[1,1]] [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [[4,4,4,4,1],[1,1,1]] [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [[5,5,5,1],[1,1]] [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [[2,2,2,2,2,2,1],[1,1,1,1]] [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [[3,2,2,2,2,1],[1,1,1]] [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [[3,3,2,2,2,1],[2,1,1]] [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [[4,2,2,2,1],[1,1]] [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [[3,3,2,2,2,1],[1,1,1]] [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [[3,3,3,2,2,1],[2,2,1]] [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [[4,3,2,2,1],[2,1]] [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [[4,4,2,2,1],[3,1]] [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [[5,2,2,1],[1]] [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [[4,4,2,2,1],[2,1]] [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [[3,3,3,2,2,1],[2,1,1]] [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [[4,3,2,2,1],[1,1]] [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [[3,3,3,2,2,1],[1,1,1]] [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [[4,4,2,2,1],[1,1]] [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [[3,3,3,3,2,1],[2,2,2]] [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [[4,3,3,2,1],[2,2]] [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [[4,4,3,2,1],[3,2]] [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [[5,3,2,1],[2]] [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [[4,4,3,2,1],[2,2]] [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [[4,4,4,2,1],[3,3]] [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [[5,4,2,1],[3]] [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [[5,5,2,1],[4]] [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[6,2,1],[]] [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [[5,5,2,1],[3]] [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [[4,4,4,2,1],[3,2]] [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [[5,4,2,1],[2]] [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [[4,4,4,2,1],[2,2]] [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [[5,5,2,1],[2]] [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [[3,3,3,3,2,1],[2,2,1]] [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [[4,3,3,2,1],[2,1]] [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [[4,4,3,2,1],[3,1]] [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [[5,3,2,1],[1]] [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [[4,4,3,2,1],[2,1]] [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [[3,3,3,3,2,1],[2,1,1]] [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [[4,3,3,2,1],[1,1]] [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [[3,3,3,3,2,1],[1,1,1]] [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [[4,4,3,2,1],[1,1]] [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [[4,4,4,2,1],[3,1]] [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [[5,4,2,1],[1]] [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [[4,4,4,2,1],[2,1]] [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [[5,5,2,1],[1]] [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [[4,4,4,2,1],[1,1]] [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [[2,2,2,2,2,2,1],[1,1,1]] [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [[3,2,2,2,2,1],[1,1]] [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [[3,3,2,2,2,1],[2,1]] [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [[4,2,2,2,1],[1]] [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [[3,3,2,2,2,1],[1,1]] [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [[3,3,3,2,2,1],[2,2]] [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [[4,3,2,2,1],[2]] [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [[4,4,2,2,1],[3]] [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [[5,2,2,1],[]] [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [[4,4,2,2,1],[2]] [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [[3,3,3,2,2,1],[2,1]] [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [[4,3,2,2,1],[1]] [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [[3,3,3,2,2,1],[1,1]] [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [[4,4,2,2,1],[1]] [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [[2,2,2,2,2,2,1],[1,1]] [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [[3,2,2,2,2,1],[1]] [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [[3,3,2,2,2,1],[2]] [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [[4,2,2,2,1],[]] [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [[3,3,2,2,2,1],[1]] [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [[2,2,2,2,2,2,1],[1]] [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [[3,2,2,2,2,1],[]] [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[2,2,2,2,2,2,1],[]] [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [[3,3,2,2,2,1],[]] [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [[3,3,3,2,2,1],[2]] [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [[4,3,2,2,1],[]] [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [[3,3,3,2,2,1],[1]] [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[4,4,2,2,1],[]] [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [[3,3,3,2,2,1],[]] [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [[3,3,3,3,2,1],[2,2]] [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [[4,3,3,2,1],[2]] [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [[4,4,3,2,1],[3]] [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[5,3,2,1],[]] [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [[4,4,3,2,1],[2]] [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [[3,3,3,3,2,1],[2,1]] [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [[4,3,3,2,1],[1]] [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [[3,3,3,3,2,1],[1,1]] [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [[4,4,3,2,1],[1]] [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [[4,4,4,2,1],[3]] [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [[5,4,2,1],[]] [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [[4,4,4,2,1],[2]] [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [[5,5,2,1],[]] [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [[4,4,4,2,1],[1]] [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [[3,3,3,3,2,1],[2]] [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [[4,3,3,2,1],[]] [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [[3,3,3,3,2,1],[1]] [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [[4,4,3,2,1],[]] [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [[3,3,3,3,2,1],[]] [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [[4,4,4,2,1],[]] [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [[3,3,3,3,3,1],[2,2,2]] [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [[4,3,3,3,1],[2,2]] [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [[4,4,3,3,1],[3,2]] [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [[5,3,3,1],[2]] [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [[4,4,3,3,1],[2,2]] [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [[4,4,4,3,1],[3,3]] [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [[5,4,3,1],[3]] [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [[5,5,3,1],[4]] [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [[6,3,1],[]] [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [[5,5,3,1],[3]] [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [[4,4,4,3,1],[3,2]] [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [[5,4,3,1],[2]] [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [[4,4,4,3,1],[2,2]] [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [[5,5,3,1],[2]] [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [[3,3,3,3,3,1],[2,2,1]] [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [[4,3,3,3,1],[2,1]] [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [[4,4,3,3,1],[3,1]] [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [[5,3,3,1],[1]] [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [[4,4,3,3,1],[2,1]] [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [[3,3,3,3,3,1],[2,1,1]] [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [[4,3,3,3,1],[1,1]] [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [[3,3,3,3,3,1],[1,1,1]] [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [[4,4,3,3,1],[1,1]] [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [[4,4,4,3,1],[3,1]] [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [[5,4,3,1],[1]] [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [[4,4,4,3,1],[2,1]] [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [[5,5,3,1],[1]] [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [[4,4,4,3,1],[1,1]] [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [[4,4,4,4,1],[3,3]] [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [[5,4,4,1],[3]] [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [[5,5,4,1],[4]] [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[6,4,1],[]] [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [[5,5,4,1],[3]] [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [[4,4,4,4,1],[3,2]] [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [[5,4,4,1],[2]] [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [[4,4,4,4,1],[2,2]] [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [[5,5,4,1],[2]] [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [[5,5,5,1],[4]] [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [[6,5,1],[]] [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [[5,5,5,1],[3]] [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [[6,6,1],[]] [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [[5,5,5,1],[2]] [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [[4,4,4,4,1],[3,1]] [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [[5,4,4,1],[1]] [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [[4,4,4,4,1],[2,1]] [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [[5,5,4,1],[1]] [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [[4,4,4,4,1],[1,1]] [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [[5,5,5,1],[1]] [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [[3,3,3,3,3,1],[2,2]] [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [[4,3,3,3,1],[2]] [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [[4,4,3,3,1],[3]] [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [[5,3,3,1],[]] [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [[4,4,3,3,1],[2]] [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [[3,3,3,3,3,1],[2,1]] [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [[4,3,3,3,1],[1]] [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [[3,3,3,3,3,1],[1,1]] [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [[4,4,3,3,1],[1]] [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [[4,4,4,3,1],[3]] [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [[5,4,3,1],[]] [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [[4,4,4,3,1],[2]] [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [[5,5,3,1],[]] [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [[4,4,4,3,1],[1]] [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [[3,3,3,3,3,1],[2]] [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [[4,3,3,3,1],[]] [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [[3,3,3,3,3,1],[1]] [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [[4,4,3,3,1],[]] [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [[3,3,3,3,3,1],[]] [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [[4,4,4,3,1],[]] [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[4,4,4,4,1],[3]] [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [[5,4,4,1],[]] [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [[4,4,4,4,1],[2]] [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [[5,5,4,1],[]] [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [[4,4,4,4,1],[1]] [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [[5,5,5,1],[]] [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[4,4,4,4,1],[]] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[2,2,2,2,2,2,2],[1,1,1,1,1,1]] [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[3,2,2,2,2,2],[1,1,1,1,1]] [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[3,3,2,2,2,2],[2,1,1,1,1]] [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[4,2,2,2,2],[1,1,1,1]] [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [[3,3,2,2,2,2],[1,1,1,1,1]] [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [[3,3,3,2,2,2],[2,2,1,1,1]] [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => [[4,3,2,2,2],[2,1,1,1]] [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [[4,4,2,2,2],[3,1,1,1]] [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [[5,2,2,2],[1,1,1]] [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => [[4,4,2,2,2],[2,1,1,1]] [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => [[3,3,3,2,2,2],[2,1,1,1,1]] [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => [[4,3,2,2,2],[1,1,1,1]] [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => [[3,3,3,2,2,2],[1,1,1,1,1]] [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [[4,4,2,2,2],[1,1,1,1]] [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => [[3,3,3,3,2,2],[2,2,2,1,1]] [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => [[4,3,3,2,2],[2,2,1,1]] [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => [[4,4,3,2,2],[3,2,1,1]] [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => [[5,3,2,2],[2,1,1]] [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => [[4,4,3,2,2],[2,2,1,1]] [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => [[4,4,4,2,2],[3,3,1,1]] [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => [[5,4,2,2],[3,1,1]] [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => [[5,5,2,2],[4,1,1]] [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [[6,2,2],[1,1]] [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => [[5,5,2,2],[3,1,1]] [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => [[4,4,4,2,2],[3,2,1,1]] [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => [[5,4,2,2],[2,1,1]] [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => [[4,4,4,2,2],[2,2,1,1]] [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => [[5,5,2,2],[2,1,1]] [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => [[3,3,3,3,2,2],[2,2,1,1,1]] [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => [[4,3,3,2,2],[2,1,1,1]] [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => [[4,4,3,2,2],[3,1,1,1]] [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => [[5,3,2,2],[1,1,1]] [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => [[4,4,3,2,2],[2,1,1,1]] [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => [[3,3,3,3,2,2],[2,1,1,1,1]] [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => [[4,3,3,2,2],[1,1,1,1]] [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => [[3,3,3,3,2,2],[1,1,1,1,1]] [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => [[4,4,3,2,2],[1,1,1,1]] [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [[4,4,4,2,2],[3,1,1,1]] [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => [[5,4,2,2],[1,1,1]] [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => [[4,4,4,2,2],[2,1,1,1]] [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [[5,5,2,2],[1,1,1]] [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [[4,4,4,2,2],[1,1,1,1]] [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [[3,3,3,3,3,2],[2,2,2,2,1]] [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => [[4,3,3,3,2],[2,2,2,1]] [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => [[4,4,3,3,2],[3,2,2,1]] [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => [[5,3,3,2],[2,2,1]] [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => [[4,4,3,3,2],[2,2,2,1]] [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [[4,4,4,3,2],[3,3,2,1]] [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[5,4,3,2],[3,2,1]] [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => [[5,5,3,2],[4,2,1]] [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [[6,3,2],[2,1]] [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [[5,5,3,2],[3,2,1]] [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [[4,4,4,3,2],[3,2,2,1]] [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [[5,4,3,2],[2,2,1]] [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [[4,4,4,3,2],[2,2,2,1]] [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [[5,5,3,2],[2,2,1]] [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => [[4,4,4,4,2],[3,3,3,1]] [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => [[5,4,4,2],[3,3,1]] [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => [[5,5,4,2],[4,3,1]] [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => [[6,4,2],[3,1]] [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => [[5,5,4,2],[3,3,1]] [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => [[5,5,5,2],[4,4,1]] [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => [[6,5,2],[4,1]] [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [[6,6,2],[5,1]] [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [[7,2],[1]] [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => [[6,6,2],[4,1]] [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => [[5,5,5,2],[4,3,1]] [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => [[6,5,2],[3,1]] [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [[5,5,5,2],[3,3,1]] [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [[6,6,2],[3,1]] [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => [[4,4,4,4,2],[3,3,2,1]] [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [[5,4,4,2],[3,2,1]] [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => [[5,5,4,2],[4,2,1]] [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => [[6,4,2],[2,1]] [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [[5,5,4,2],[3,2,1]] [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => [[4,4,4,4,2],[3,2,2,1]] [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => [[5,4,4,2],[2,2,1]] [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => [[4,4,4,4,2],[2,2,2,1]] [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [[5,5,4,2],[2,2,1]] [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => [[5,5,5,2],[4,2,1]] [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [[6,5,2],[2,1]] [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => [[5,5,5,2],[3,2,1]] [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => [[6,6,2],[2,1]] [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => [[5,5,5,2],[2,2,1]] [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [[3,3,3,3,3,2],[2,2,2,1,1]] [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => [[4,3,3,3,2],[2,2,1,1]] [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => [[4,4,3,3,2],[3,2,1,1]] [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => [[5,3,3,2],[2,1,1]] [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [[4,4,3,3,2],[2,2,1,1]] [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => [[4,4,4,3,2],[3,3,1,1]] [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [[5,4,3,2],[3,1,1]] [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [[5,5,3,2],[4,1,1]] [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => [[6,3,2],[1,1]] [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => [[5,5,3,2],[3,1,1]] [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => [[4,4,4,3,2],[3,2,1,1]] [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [[5,4,3,2],[2,1,1]] [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => [[4,4,4,3,2],[2,2,1,1]] [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => [[5,5,3,2],[2,1,1]] [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => [[3,3,3,3,3,2],[2,2,1,1,1]] [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [[4,3,3,3,2],[2,1,1,1]] [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => [[4,4,3,3,2],[3,1,1,1]] [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => [[5,3,3,2],[1,1,1]] [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => [[4,4,3,3,2],[2,1,1,1]] [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => [[3,3,3,3,3,2],[2,1,1,1,1]] [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => [[4,3,3,3,2],[1,1,1,1]] [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [[3,3,3,3,3,2],[1,1,1,1,1]] [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => [[4,4,3,3,2],[1,1,1,1]] [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => [[4,4,4,3,2],[3,1,1,1]] [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => [[5,4,3,2],[1,1,1]] [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [[4,4,4,3,2],[2,1,1,1]] [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => [[5,5,3,2],[1,1,1]] [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => [[4,4,4,3,2],[1,1,1,1]] [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [[4,4,4,4,2],[3,3,1,1]] [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [[5,4,4,2],[3,1,1]] [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => [[5,5,4,2],[4,1,1]] [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [[6,4,2],[1,1]] [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => [[5,5,4,2],[3,1,1]] [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => [[4,4,4,4,2],[3,2,1,1]] [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [[5,4,4,2],[2,1,1]] [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => [[4,4,4,4,2],[2,2,1,1]] [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => [[5,5,4,2],[2,1,1]] [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => [[5,5,5,2],[4,1,1]] [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => [[6,5,2],[1,1]] [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => [[5,5,5,2],[3,1,1]] [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [[6,6,2],[1,1]] [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => [[5,5,5,2],[2,1,1]] [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [[4,4,4,4,2],[3,1,1,1]] [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => [[5,4,4,2],[1,1,1]] [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => [[4,4,4,4,2],[2,1,1,1]] [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => [[5,5,4,2],[1,1,1]] [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [[4,4,4,4,2],[1,1,1,1]] [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[5,5,5,2],[1,1,1]] [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[3,3,3,3,3,3],[2,2,2,2,2]] [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [[4,3,3,3,3],[2,2,2,2]] [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => [[4,4,3,3,3],[3,2,2,2]] [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [[5,3,3,3],[2,2,2]] [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => [[4,4,3,3,3],[2,2,2,2]] [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => [[4,4,4,3,3],[3,3,2,2]] [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => [[5,4,3,3],[3,2,2]] [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [[5,5,3,3],[4,2,2]] [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => [[6,3,3],[2,2]] [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => [[5,5,3,3],[3,2,2]] [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => [[4,4,4,3,3],[3,2,2,2]] [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [[5,4,3,3],[2,2,2]] [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => [[4,4,4,3,3],[2,2,2,2]] [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => [[5,5,3,3],[2,2,2]] ----------------------------------------------------------------------------- Created: May 13, 2021 at 15:12 by Martin Rubey ----------------------------------------------------------------------------- Last Updated: May 13, 2021 at 15:12 by Martin Rubey