************************************************************************ * 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: Mp00151 ------------------------------------------------------------------------ Map name: to cycle type ------------------------------------------------------------------------ Domain: Permutations ------------------------------------------------------------------------ Codomain: Set partitions ------------------------------------------------------------------------ Description: Let $\pi=c_1\dots c_r$ a permutation of size $n$ decomposed in its cyclic parts. The associated set partition of $[n]$ then is $S=S_1\cup\dots\cup S_r$ such that $S_i$ is the set of integers in the cycle $c_i$. A permutation is cyclic [1] if and only if its cycle type is a hook partition [2]. ------------------------------------------------------------------------ References: [1] [[wikipedia:Cyclic_permutation]] [2] [ [[wikipedia:Hook_length_formula]] ------------------------------------------------------------------------ Code: def mapping(pi): return SetPartition(pi.cycle_tuples()) ------------------------------------------------------------------------ Map images: [1] => {{1}} [1,2] => {{1},{2}} [2,1] => {{1,2}} [1,2,3] => {{1},{2},{3}} [1,3,2] => {{1},{2,3}} [2,1,3] => {{1,2},{3}} [2,3,1] => {{1,2,3}} [3,1,2] => {{1,2,3}} [3,2,1] => {{1,3},{2}} [1,2,3,4] => {{1},{2},{3},{4}} [1,2,4,3] => {{1},{2},{3,4}} [1,3,2,4] => {{1},{2,3},{4}} [1,3,4,2] => {{1},{2,3,4}} [1,4,2,3] => {{1},{2,3,4}} [1,4,3,2] => {{1},{2,4},{3}} [2,1,3,4] => {{1,2},{3},{4}} [2,1,4,3] => {{1,2},{3,4}} [2,3,1,4] => {{1,2,3},{4}} [2,3,4,1] => {{1,2,3,4}} [2,4,1,3] => {{1,2,3,4}} [2,4,3,1] => {{1,2,4},{3}} [3,1,2,4] => {{1,2,3},{4}} [3,1,4,2] => {{1,2,3,4}} [3,2,1,4] => {{1,3},{2},{4}} [3,2,4,1] => {{1,3,4},{2}} [3,4,1,2] => {{1,3},{2,4}} [3,4,2,1] => {{1,2,3,4}} [4,1,2,3] => {{1,2,3,4}} [4,1,3,2] => {{1,2,4},{3}} [4,2,1,3] => {{1,3,4},{2}} [4,2,3,1] => {{1,4},{2},{3}} [4,3,1,2] => {{1,2,3,4}} [4,3,2,1] => {{1,4},{2,3}} [1,2,3,4,5] => {{1},{2},{3},{4},{5}} [1,2,3,5,4] => {{1},{2},{3},{4,5}} [1,2,4,3,5] => {{1},{2},{3,4},{5}} [1,2,4,5,3] => {{1},{2},{3,4,5}} [1,2,5,3,4] => {{1},{2},{3,4,5}} [1,2,5,4,3] => {{1},{2},{3,5},{4}} [1,3,2,4,5] => {{1},{2,3},{4},{5}} [1,3,2,5,4] => {{1},{2,3},{4,5}} [1,3,4,2,5] => {{1},{2,3,4},{5}} [1,3,4,5,2] => {{1},{2,3,4,5}} [1,3,5,2,4] => {{1},{2,3,4,5}} [1,3,5,4,2] => {{1},{2,3,5},{4}} [1,4,2,3,5] => {{1},{2,3,4},{5}} [1,4,2,5,3] => {{1},{2,3,4,5}} [1,4,3,2,5] => {{1},{2,4},{3},{5}} [1,4,3,5,2] => {{1},{2,4,5},{3}} [1,4,5,2,3] => {{1},{2,4},{3,5}} [1,4,5,3,2] => {{1},{2,3,4,5}} [1,5,2,3,4] => {{1},{2,3,4,5}} [1,5,2,4,3] => {{1},{2,3,5},{4}} [1,5,3,2,4] => {{1},{2,4,5},{3}} [1,5,3,4,2] => {{1},{2,5},{3},{4}} [1,5,4,2,3] => {{1},{2,3,4,5}} [1,5,4,3,2] => {{1},{2,5},{3,4}} [2,1,3,4,5] => {{1,2},{3},{4},{5}} [2,1,3,5,4] => {{1,2},{3},{4,5}} [2,1,4,3,5] => {{1,2},{3,4},{5}} [2,1,4,5,3] => {{1,2},{3,4,5}} [2,1,5,3,4] => {{1,2},{3,4,5}} [2,1,5,4,3] => {{1,2},{3,5},{4}} [2,3,1,4,5] => {{1,2,3},{4},{5}} [2,3,1,5,4] => {{1,2,3},{4,5}} [2,3,4,1,5] => {{1,2,3,4},{5}} [2,3,4,5,1] => {{1,2,3,4,5}} [2,3,5,1,4] => {{1,2,3,4,5}} [2,3,5,4,1] => {{1,2,3,5},{4}} [2,4,1,3,5] => {{1,2,3,4},{5}} [2,4,1,5,3] => {{1,2,3,4,5}} [2,4,3,1,5] => {{1,2,4},{3},{5}} [2,4,3,5,1] => {{1,2,4,5},{3}} [2,4,5,1,3] => {{1,2,4},{3,5}} [2,4,5,3,1] => {{1,2,3,4,5}} [2,5,1,3,4] => {{1,2,3,4,5}} [2,5,1,4,3] => {{1,2,3,5},{4}} [2,5,3,1,4] => {{1,2,4,5},{3}} [2,5,3,4,1] => {{1,2,5},{3},{4}} [2,5,4,1,3] => {{1,2,3,4,5}} [2,5,4,3,1] => {{1,2,5},{3,4}} [3,1,2,4,5] => {{1,2,3},{4},{5}} [3,1,2,5,4] => {{1,2,3},{4,5}} [3,1,4,2,5] => {{1,2,3,4},{5}} [3,1,4,5,2] => {{1,2,3,4,5}} [3,1,5,2,4] => {{1,2,3,4,5}} [3,1,5,4,2] => {{1,2,3,5},{4}} [3,2,1,4,5] => {{1,3},{2},{4},{5}} [3,2,1,5,4] => {{1,3},{2},{4,5}} [3,2,4,1,5] => {{1,3,4},{2},{5}} [3,2,4,5,1] => {{1,3,4,5},{2}} [3,2,5,1,4] => {{1,3,4,5},{2}} [3,2,5,4,1] => {{1,3,5},{2},{4}} [3,4,1,2,5] => {{1,3},{2,4},{5}} [3,4,1,5,2] => {{1,3},{2,4,5}} [3,4,2,1,5] => {{1,2,3,4},{5}} [3,4,2,5,1] => {{1,2,3,4,5}} [3,4,5,1,2] => {{1,2,3,4,5}} [3,4,5,2,1] => {{1,3,5},{2,4}} [3,5,1,2,4] => {{1,3},{2,4,5}} [3,5,1,4,2] => {{1,3},{2,5},{4}} [3,5,2,1,4] => {{1,2,3,4,5}} [3,5,2,4,1] => {{1,2,3,5},{4}} [3,5,4,1,2] => {{1,3,4},{2,5}} [3,5,4,2,1] => {{1,2,3,4,5}} [4,1,2,3,5] => {{1,2,3,4},{5}} [4,1,2,5,3] => {{1,2,3,4,5}} [4,1,3,2,5] => {{1,2,4},{3},{5}} [4,1,3,5,2] => {{1,2,4,5},{3}} [4,1,5,2,3] => {{1,2,4},{3,5}} [4,1,5,3,2] => {{1,2,3,4,5}} [4,2,1,3,5] => {{1,3,4},{2},{5}} [4,2,1,5,3] => {{1,3,4,5},{2}} [4,2,3,1,5] => {{1,4},{2},{3},{5}} [4,2,3,5,1] => {{1,4,5},{2},{3}} [4,2,5,1,3] => {{1,4},{2},{3,5}} [4,2,5,3,1] => {{1,3,4,5},{2}} [4,3,1,2,5] => {{1,2,3,4},{5}} [4,3,1,5,2] => {{1,2,3,4,5}} [4,3,2,1,5] => {{1,4},{2,3},{5}} [4,3,2,5,1] => {{1,4,5},{2,3}} [4,3,5,1,2] => {{1,4},{2,3,5}} [4,3,5,2,1] => {{1,2,3,4,5}} [4,5,1,2,3] => {{1,2,3,4,5}} [4,5,1,3,2] => {{1,3,4},{2,5}} [4,5,2,1,3] => {{1,4},{2,3,5}} [4,5,2,3,1] => {{1,2,3,4,5}} [4,5,3,1,2] => {{1,4},{2,5},{3}} [4,5,3,2,1] => {{1,2,4,5},{3}} [5,1,2,3,4] => {{1,2,3,4,5}} [5,1,2,4,3] => {{1,2,3,5},{4}} [5,1,3,2,4] => {{1,2,4,5},{3}} [5,1,3,4,2] => {{1,2,5},{3},{4}} [5,1,4,2,3] => {{1,2,3,4,5}} [5,1,4,3,2] => {{1,2,5},{3,4}} [5,2,1,3,4] => {{1,3,4,5},{2}} [5,2,1,4,3] => {{1,3,5},{2},{4}} [5,2,3,1,4] => {{1,4,5},{2},{3}} [5,2,3,4,1] => {{1,5},{2},{3},{4}} [5,2,4,1,3] => {{1,3,4,5},{2}} [5,2,4,3,1] => {{1,5},{2},{3,4}} [5,3,1,2,4] => {{1,2,3,4,5}} [5,3,1,4,2] => {{1,2,3,5},{4}} [5,3,2,1,4] => {{1,4,5},{2,3}} [5,3,2,4,1] => {{1,5},{2,3},{4}} [5,3,4,1,2] => {{1,2,3,4,5}} [5,3,4,2,1] => {{1,5},{2,3,4}} [5,4,1,2,3] => {{1,3,5},{2,4}} [5,4,1,3,2] => {{1,2,3,4,5}} [5,4,2,1,3] => {{1,2,3,4,5}} [5,4,2,3,1] => {{1,5},{2,3,4}} [5,4,3,1,2] => {{1,2,4,5},{3}} [5,4,3,2,1] => {{1,5},{2,4},{3}} [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} [1,2,3,4,6,5] => {{1},{2},{3},{4},{5,6}} [1,2,3,5,4,6] => {{1},{2},{3},{4,5},{6}} [1,2,3,5,6,4] => {{1},{2},{3},{4,5,6}} [1,2,3,6,4,5] => {{1},{2},{3},{4,5,6}} [1,2,3,6,5,4] => {{1},{2},{3},{4,6},{5}} [1,2,4,3,5,6] => {{1},{2},{3,4},{5},{6}} [1,2,4,3,6,5] => {{1},{2},{3,4},{5,6}} [1,2,4,5,3,6] => {{1},{2},{3,4,5},{6}} [1,2,4,5,6,3] => {{1},{2},{3,4,5,6}} [1,2,4,6,3,5] => {{1},{2},{3,4,5,6}} [1,2,4,6,5,3] => {{1},{2},{3,4,6},{5}} [1,2,5,3,4,6] => {{1},{2},{3,4,5},{6}} [1,2,5,3,6,4] => {{1},{2},{3,4,5,6}} [1,2,5,4,3,6] => {{1},{2},{3,5},{4},{6}} [1,2,5,4,6,3] => {{1},{2},{3,5,6},{4}} [1,2,5,6,3,4] => {{1},{2},{3,5},{4,6}} [1,2,5,6,4,3] => {{1},{2},{3,4,5,6}} [1,2,6,3,4,5] => {{1},{2},{3,4,5,6}} [1,2,6,3,5,4] => {{1},{2},{3,4,6},{5}} [1,2,6,4,3,5] => {{1},{2},{3,5,6},{4}} [1,2,6,4,5,3] => {{1},{2},{3,6},{4},{5}} [1,2,6,5,3,4] => {{1},{2},{3,4,5,6}} [1,2,6,5,4,3] => {{1},{2},{3,6},{4,5}} [1,3,2,4,5,6] => {{1},{2,3},{4},{5},{6}} [1,3,2,4,6,5] => {{1},{2,3},{4},{5,6}} [1,3,2,5,4,6] => {{1},{2,3},{4,5},{6}} [1,3,2,5,6,4] => {{1},{2,3},{4,5,6}} [1,3,2,6,4,5] => {{1},{2,3},{4,5,6}} [1,3,2,6,5,4] => {{1},{2,3},{4,6},{5}} [1,3,4,2,5,6] => {{1},{2,3,4},{5},{6}} [1,3,4,2,6,5] => {{1},{2,3,4},{5,6}} [1,3,4,5,2,6] => {{1},{2,3,4,5},{6}} [1,3,4,5,6,2] => {{1},{2,3,4,5,6}} [1,3,4,6,2,5] => {{1},{2,3,4,5,6}} [1,3,4,6,5,2] => {{1},{2,3,4,6},{5}} [1,3,5,2,4,6] => {{1},{2,3,4,5},{6}} [1,3,5,2,6,4] => {{1},{2,3,4,5,6}} [1,3,5,4,2,6] => {{1},{2,3,5},{4},{6}} [1,3,5,4,6,2] => {{1},{2,3,5,6},{4}} [1,3,5,6,2,4] => {{1},{2,3,5},{4,6}} [1,3,5,6,4,2] => {{1},{2,3,4,5,6}} [1,3,6,2,4,5] => {{1},{2,3,4,5,6}} [1,3,6,2,5,4] => {{1},{2,3,4,6},{5}} [1,3,6,4,2,5] => {{1},{2,3,5,6},{4}} [1,3,6,4,5,2] => {{1},{2,3,6},{4},{5}} [1,3,6,5,2,4] => {{1},{2,3,4,5,6}} [1,3,6,5,4,2] => {{1},{2,3,6},{4,5}} [1,4,2,3,5,6] => {{1},{2,3,4},{5},{6}} [1,4,2,3,6,5] => {{1},{2,3,4},{5,6}} [1,4,2,5,3,6] => {{1},{2,3,4,5},{6}} [1,4,2,5,6,3] => {{1},{2,3,4,5,6}} [1,4,2,6,3,5] => {{1},{2,3,4,5,6}} [1,4,2,6,5,3] => {{1},{2,3,4,6},{5}} [1,4,3,2,5,6] => {{1},{2,4},{3},{5},{6}} [1,4,3,2,6,5] => {{1},{2,4},{3},{5,6}} [1,4,3,5,2,6] => {{1},{2,4,5},{3},{6}} [1,4,3,5,6,2] => {{1},{2,4,5,6},{3}} [1,4,3,6,2,5] => {{1},{2,4,5,6},{3}} [1,4,3,6,5,2] => {{1},{2,4,6},{3},{5}} [1,4,5,2,3,6] => {{1},{2,4},{3,5},{6}} [1,4,5,2,6,3] => {{1},{2,4},{3,5,6}} [1,4,5,3,2,6] => {{1},{2,3,4,5},{6}} [1,4,5,3,6,2] => {{1},{2,3,4,5,6}} [1,4,5,6,2,3] => {{1},{2,3,4,5,6}} [1,4,5,6,3,2] => {{1},{2,4,6},{3,5}} [1,4,6,2,3,5] => {{1},{2,4},{3,5,6}} [1,4,6,2,5,3] => {{1},{2,4},{3,6},{5}} [1,4,6,3,2,5] => {{1},{2,3,4,5,6}} [1,4,6,3,5,2] => {{1},{2,3,4,6},{5}} [1,4,6,5,2,3] => {{1},{2,4,5},{3,6}} [1,4,6,5,3,2] => {{1},{2,3,4,5,6}} [1,5,2,3,4,6] => {{1},{2,3,4,5},{6}} [1,5,2,3,6,4] => {{1},{2,3,4,5,6}} [1,5,2,4,3,6] => {{1},{2,3,5},{4},{6}} [1,5,2,4,6,3] => {{1},{2,3,5,6},{4}} [1,5,2,6,3,4] => {{1},{2,3,5},{4,6}} [1,5,2,6,4,3] => {{1},{2,3,4,5,6}} [1,5,3,2,4,6] => {{1},{2,4,5},{3},{6}} [1,5,3,2,6,4] => {{1},{2,4,5,6},{3}} [1,5,3,4,2,6] => {{1},{2,5},{3},{4},{6}} [1,5,3,4,6,2] => {{1},{2,5,6},{3},{4}} [1,5,3,6,2,4] => {{1},{2,5},{3},{4,6}} [1,5,3,6,4,2] => {{1},{2,4,5,6},{3}} [1,5,4,2,3,6] => {{1},{2,3,4,5},{6}} [1,5,4,2,6,3] => {{1},{2,3,4,5,6}} [1,5,4,3,2,6] => {{1},{2,5},{3,4},{6}} [1,5,4,3,6,2] => {{1},{2,5,6},{3,4}} [1,5,4,6,2,3] => {{1},{2,5},{3,4,6}} [1,5,4,6,3,2] => {{1},{2,3,4,5,6}} [1,5,6,2,3,4] => {{1},{2,3,4,5,6}} [1,5,6,2,4,3] => {{1},{2,4,5},{3,6}} [1,5,6,3,2,4] => {{1},{2,5},{3,4,6}} [1,5,6,3,4,2] => {{1},{2,3,4,5,6}} [1,5,6,4,2,3] => {{1},{2,5},{3,6},{4}} [1,5,6,4,3,2] => {{1},{2,3,5,6},{4}} [1,6,2,3,4,5] => {{1},{2,3,4,5,6}} [1,6,2,3,5,4] => {{1},{2,3,4,6},{5}} [1,6,2,4,3,5] => {{1},{2,3,5,6},{4}} [1,6,2,4,5,3] => {{1},{2,3,6},{4},{5}} [1,6,2,5,3,4] => {{1},{2,3,4,5,6}} [1,6,2,5,4,3] => {{1},{2,3,6},{4,5}} [1,6,3,2,4,5] => {{1},{2,4,5,6},{3}} [1,6,3,2,5,4] => {{1},{2,4,6},{3},{5}} [1,6,3,4,2,5] => {{1},{2,5,6},{3},{4}} [1,6,3,4,5,2] => {{1},{2,6},{3},{4},{5}} [1,6,3,5,2,4] => {{1},{2,4,5,6},{3}} [1,6,3,5,4,2] => {{1},{2,6},{3},{4,5}} [1,6,4,2,3,5] => {{1},{2,3,4,5,6}} [1,6,4,2,5,3] => {{1},{2,3,4,6},{5}} [1,6,4,3,2,5] => {{1},{2,5,6},{3,4}} [1,6,4,3,5,2] => {{1},{2,6},{3,4},{5}} [1,6,4,5,2,3] => {{1},{2,3,4,5,6}} [1,6,4,5,3,2] => {{1},{2,6},{3,4,5}} [1,6,5,2,3,4] => {{1},{2,4,6},{3,5}} [1,6,5,2,4,3] => {{1},{2,3,4,5,6}} [1,6,5,3,2,4] => {{1},{2,3,4,5,6}} [1,6,5,3,4,2] => {{1},{2,6},{3,4,5}} [1,6,5,4,2,3] => {{1},{2,3,5,6},{4}} [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} [2,1,3,4,5,6] => {{1,2},{3},{4},{5},{6}} [2,1,3,4,6,5] => {{1,2},{3},{4},{5,6}} [2,1,3,5,4,6] => {{1,2},{3},{4,5},{6}} [2,1,3,5,6,4] => {{1,2},{3},{4,5,6}} [2,1,3,6,4,5] => {{1,2},{3},{4,5,6}} [2,1,3,6,5,4] => {{1,2},{3},{4,6},{5}} [2,1,4,3,5,6] => {{1,2},{3,4},{5},{6}} [2,1,4,3,6,5] => {{1,2},{3,4},{5,6}} [2,1,4,5,3,6] => {{1,2},{3,4,5},{6}} [2,1,4,5,6,3] => {{1,2},{3,4,5,6}} [2,1,4,6,3,5] => {{1,2},{3,4,5,6}} [2,1,4,6,5,3] => {{1,2},{3,4,6},{5}} [2,1,5,3,4,6] => {{1,2},{3,4,5},{6}} [2,1,5,3,6,4] => {{1,2},{3,4,5,6}} [2,1,5,4,3,6] => {{1,2},{3,5},{4},{6}} [2,1,5,4,6,3] => {{1,2},{3,5,6},{4}} [2,1,5,6,3,4] => {{1,2},{3,5},{4,6}} [2,1,5,6,4,3] => {{1,2},{3,4,5,6}} [2,1,6,3,4,5] => {{1,2},{3,4,5,6}} [2,1,6,3,5,4] => {{1,2},{3,4,6},{5}} [2,1,6,4,3,5] => {{1,2},{3,5,6},{4}} [2,1,6,4,5,3] => {{1,2},{3,6},{4},{5}} [2,1,6,5,3,4] => {{1,2},{3,4,5,6}} [2,1,6,5,4,3] => {{1,2},{3,6},{4,5}} [2,3,1,4,5,6] => {{1,2,3},{4},{5},{6}} [2,3,1,4,6,5] => {{1,2,3},{4},{5,6}} [2,3,1,5,4,6] => {{1,2,3},{4,5},{6}} [2,3,1,5,6,4] => {{1,2,3},{4,5,6}} [2,3,1,6,4,5] => {{1,2,3},{4,5,6}} [2,3,1,6,5,4] => {{1,2,3},{4,6},{5}} [2,3,4,1,5,6] => {{1,2,3,4},{5},{6}} [2,3,4,1,6,5] => {{1,2,3,4},{5,6}} [2,3,4,5,1,6] => {{1,2,3,4,5},{6}} [2,3,4,5,6,1] => {{1,2,3,4,5,6}} [2,3,4,6,1,5] => {{1,2,3,4,5,6}} [2,3,4,6,5,1] => {{1,2,3,4,6},{5}} [2,3,5,1,4,6] => {{1,2,3,4,5},{6}} [2,3,5,1,6,4] => {{1,2,3,4,5,6}} [2,3,5,4,1,6] => {{1,2,3,5},{4},{6}} [2,3,5,4,6,1] => {{1,2,3,5,6},{4}} [2,3,5,6,1,4] => {{1,2,3,5},{4,6}} [2,3,5,6,4,1] => {{1,2,3,4,5,6}} [2,3,6,1,4,5] => {{1,2,3,4,5,6}} [2,3,6,1,5,4] => {{1,2,3,4,6},{5}} [2,3,6,4,1,5] => {{1,2,3,5,6},{4}} [2,3,6,4,5,1] => {{1,2,3,6},{4},{5}} [2,3,6,5,1,4] => {{1,2,3,4,5,6}} [2,3,6,5,4,1] => {{1,2,3,6},{4,5}} [2,4,1,3,5,6] => {{1,2,3,4},{5},{6}} [2,4,1,3,6,5] => {{1,2,3,4},{5,6}} [2,4,1,5,3,6] => {{1,2,3,4,5},{6}} [2,4,1,5,6,3] => {{1,2,3,4,5,6}} [2,4,1,6,3,5] => {{1,2,3,4,5,6}} [2,4,1,6,5,3] => {{1,2,3,4,6},{5}} [2,4,3,1,5,6] => {{1,2,4},{3},{5},{6}} [2,4,3,1,6,5] => {{1,2,4},{3},{5,6}} [2,4,3,5,1,6] => {{1,2,4,5},{3},{6}} [2,4,3,5,6,1] => {{1,2,4,5,6},{3}} [2,4,3,6,1,5] => {{1,2,4,5,6},{3}} [2,4,3,6,5,1] => {{1,2,4,6},{3},{5}} [2,4,5,1,3,6] => {{1,2,4},{3,5},{6}} [2,4,5,1,6,3] => {{1,2,4},{3,5,6}} [2,4,5,3,1,6] => {{1,2,3,4,5},{6}} [2,4,5,3,6,1] => {{1,2,3,4,5,6}} [2,4,5,6,1,3] => {{1,2,3,4,5,6}} [2,4,5,6,3,1] => {{1,2,4,6},{3,5}} [2,4,6,1,3,5] => {{1,2,4},{3,5,6}} [2,4,6,1,5,3] => {{1,2,4},{3,6},{5}} [2,4,6,3,1,5] => {{1,2,3,4,5,6}} [2,4,6,3,5,1] => {{1,2,3,4,6},{5}} [2,4,6,5,1,3] => {{1,2,4,5},{3,6}} [2,4,6,5,3,1] => {{1,2,3,4,5,6}} [2,5,1,3,4,6] => {{1,2,3,4,5},{6}} [2,5,1,3,6,4] => {{1,2,3,4,5,6}} [2,5,1,4,3,6] => {{1,2,3,5},{4},{6}} [2,5,1,4,6,3] => {{1,2,3,5,6},{4}} [2,5,1,6,3,4] => {{1,2,3,5},{4,6}} [2,5,1,6,4,3] => {{1,2,3,4,5,6}} [2,5,3,1,4,6] => {{1,2,4,5},{3},{6}} [2,5,3,1,6,4] => {{1,2,4,5,6},{3}} [2,5,3,4,1,6] => {{1,2,5},{3},{4},{6}} [2,5,3,4,6,1] => {{1,2,5,6},{3},{4}} [2,5,3,6,1,4] => {{1,2,5},{3},{4,6}} [2,5,3,6,4,1] => {{1,2,4,5,6},{3}} [2,5,4,1,3,6] => {{1,2,3,4,5},{6}} [2,5,4,1,6,3] => {{1,2,3,4,5,6}} [2,5,4,3,1,6] => {{1,2,5},{3,4},{6}} [2,5,4,3,6,1] => {{1,2,5,6},{3,4}} [2,5,4,6,1,3] => {{1,2,5},{3,4,6}} [2,5,4,6,3,1] => {{1,2,3,4,5,6}} [2,5,6,1,3,4] => {{1,2,3,4,5,6}} [2,5,6,1,4,3] => {{1,2,4,5},{3,6}} [2,5,6,3,1,4] => {{1,2,5},{3,4,6}} [2,5,6,3,4,1] => {{1,2,3,4,5,6}} [2,5,6,4,1,3] => {{1,2,5},{3,6},{4}} [2,5,6,4,3,1] => {{1,2,3,5,6},{4}} [2,6,1,3,4,5] => {{1,2,3,4,5,6}} [2,6,1,3,5,4] => {{1,2,3,4,6},{5}} [2,6,1,4,3,5] => {{1,2,3,5,6},{4}} [2,6,1,4,5,3] => {{1,2,3,6},{4},{5}} [2,6,1,5,3,4] => {{1,2,3,4,5,6}} [2,6,1,5,4,3] => {{1,2,3,6},{4,5}} [2,6,3,1,4,5] => {{1,2,4,5,6},{3}} [2,6,3,1,5,4] => {{1,2,4,6},{3},{5}} [2,6,3,4,1,5] => {{1,2,5,6},{3},{4}} [2,6,3,4,5,1] => {{1,2,6},{3},{4},{5}} [2,6,3,5,1,4] => {{1,2,4,5,6},{3}} [2,6,3,5,4,1] => {{1,2,6},{3},{4,5}} [2,6,4,1,3,5] => {{1,2,3,4,5,6}} [2,6,4,1,5,3] => {{1,2,3,4,6},{5}} [2,6,4,3,1,5] => {{1,2,5,6},{3,4}} [2,6,4,3,5,1] => {{1,2,6},{3,4},{5}} [2,6,4,5,1,3] => {{1,2,3,4,5,6}} [2,6,4,5,3,1] => {{1,2,6},{3,4,5}} [2,6,5,1,3,4] => {{1,2,4,6},{3,5}} [2,6,5,1,4,3] => {{1,2,3,4,5,6}} [2,6,5,3,1,4] => {{1,2,3,4,5,6}} [2,6,5,3,4,1] => {{1,2,6},{3,4,5}} [2,6,5,4,1,3] => {{1,2,3,5,6},{4}} [2,6,5,4,3,1] => {{1,2,6},{3,5},{4}} [3,1,2,4,5,6] => {{1,2,3},{4},{5},{6}} [3,1,2,4,6,5] => {{1,2,3},{4},{5,6}} [3,1,2,5,4,6] => {{1,2,3},{4,5},{6}} [3,1,2,5,6,4] => {{1,2,3},{4,5,6}} [3,1,2,6,4,5] => {{1,2,3},{4,5,6}} [3,1,2,6,5,4] => {{1,2,3},{4,6},{5}} [3,1,4,2,5,6] => {{1,2,3,4},{5},{6}} [3,1,4,2,6,5] => {{1,2,3,4},{5,6}} [3,1,4,5,2,6] => {{1,2,3,4,5},{6}} [3,1,4,5,6,2] => {{1,2,3,4,5,6}} [3,1,4,6,2,5] => {{1,2,3,4,5,6}} [3,1,4,6,5,2] => {{1,2,3,4,6},{5}} [3,1,5,2,4,6] => {{1,2,3,4,5},{6}} [3,1,5,2,6,4] => {{1,2,3,4,5,6}} [3,1,5,4,2,6] => {{1,2,3,5},{4},{6}} [3,1,5,4,6,2] => {{1,2,3,5,6},{4}} [3,1,5,6,2,4] => {{1,2,3,5},{4,6}} [3,1,5,6,4,2] => {{1,2,3,4,5,6}} [3,1,6,2,4,5] => {{1,2,3,4,5,6}} [3,1,6,2,5,4] => {{1,2,3,4,6},{5}} [3,1,6,4,2,5] => {{1,2,3,5,6},{4}} [3,1,6,4,5,2] => {{1,2,3,6},{4},{5}} [3,1,6,5,2,4] => {{1,2,3,4,5,6}} [3,1,6,5,4,2] => {{1,2,3,6},{4,5}} [3,2,1,4,5,6] => {{1,3},{2},{4},{5},{6}} [3,2,1,4,6,5] => {{1,3},{2},{4},{5,6}} [3,2,1,5,4,6] => {{1,3},{2},{4,5},{6}} [3,2,1,5,6,4] => {{1,3},{2},{4,5,6}} [3,2,1,6,4,5] => {{1,3},{2},{4,5,6}} [3,2,1,6,5,4] => {{1,3},{2},{4,6},{5}} [3,2,4,1,5,6] => {{1,3,4},{2},{5},{6}} [3,2,4,1,6,5] => {{1,3,4},{2},{5,6}} [3,2,4,5,1,6] => {{1,3,4,5},{2},{6}} [3,2,4,5,6,1] => {{1,3,4,5,6},{2}} [3,2,4,6,1,5] => {{1,3,4,5,6},{2}} [3,2,4,6,5,1] => {{1,3,4,6},{2},{5}} [3,2,5,1,4,6] => {{1,3,4,5},{2},{6}} [3,2,5,1,6,4] => {{1,3,4,5,6},{2}} [3,2,5,4,1,6] => {{1,3,5},{2},{4},{6}} [3,2,5,4,6,1] => {{1,3,5,6},{2},{4}} [3,2,5,6,1,4] => {{1,3,5},{2},{4,6}} [3,2,5,6,4,1] => {{1,3,4,5,6},{2}} [3,2,6,1,4,5] => {{1,3,4,5,6},{2}} [3,2,6,1,5,4] => {{1,3,4,6},{2},{5}} [3,2,6,4,1,5] => {{1,3,5,6},{2},{4}} [3,2,6,4,5,1] => {{1,3,6},{2},{4},{5}} [3,2,6,5,1,4] => {{1,3,4,5,6},{2}} [3,2,6,5,4,1] => {{1,3,6},{2},{4,5}} [3,4,1,2,5,6] => {{1,3},{2,4},{5},{6}} [3,4,1,2,6,5] => {{1,3},{2,4},{5,6}} [3,4,1,5,2,6] => {{1,3},{2,4,5},{6}} [3,4,1,5,6,2] => {{1,3},{2,4,5,6}} [3,4,1,6,2,5] => {{1,3},{2,4,5,6}} [3,4,1,6,5,2] => {{1,3},{2,4,6},{5}} [3,4,2,1,5,6] => {{1,2,3,4},{5},{6}} [3,4,2,1,6,5] => {{1,2,3,4},{5,6}} [3,4,2,5,1,6] => {{1,2,3,4,5},{6}} [3,4,2,5,6,1] => {{1,2,3,4,5,6}} [3,4,2,6,1,5] => {{1,2,3,4,5,6}} [3,4,2,6,5,1] => {{1,2,3,4,6},{5}} [3,4,5,1,2,6] => {{1,2,3,4,5},{6}} [3,4,5,1,6,2] => {{1,2,3,4,5,6}} [3,4,5,2,1,6] => {{1,3,5},{2,4},{6}} [3,4,5,2,6,1] => {{1,3,5,6},{2,4}} [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} [3,4,5,6,2,1] => {{1,2,3,4,5,6}} [3,4,6,1,2,5] => {{1,2,3,4,5,6}} [3,4,6,1,5,2] => {{1,2,3,4,6},{5}} [3,4,6,2,1,5] => {{1,3,5,6},{2,4}} [3,4,6,2,5,1] => {{1,3,6},{2,4},{5}} [3,4,6,5,1,2] => {{1,2,3,4,5,6}} [3,4,6,5,2,1] => {{1,3,6},{2,4,5}} [3,5,1,2,4,6] => {{1,3},{2,4,5},{6}} [3,5,1,2,6,4] => {{1,3},{2,4,5,6}} [3,5,1,4,2,6] => {{1,3},{2,5},{4},{6}} [3,5,1,4,6,2] => {{1,3},{2,5,6},{4}} [3,5,1,6,2,4] => {{1,3},{2,5},{4,6}} [3,5,1,6,4,2] => {{1,3},{2,4,5,6}} [3,5,2,1,4,6] => {{1,2,3,4,5},{6}} [3,5,2,1,6,4] => {{1,2,3,4,5,6}} [3,5,2,4,1,6] => {{1,2,3,5},{4},{6}} [3,5,2,4,6,1] => {{1,2,3,5,6},{4}} [3,5,2,6,1,4] => {{1,2,3,5},{4,6}} [3,5,2,6,4,1] => {{1,2,3,4,5,6}} [3,5,4,1,2,6] => {{1,3,4},{2,5},{6}} [3,5,4,1,6,2] => {{1,3,4},{2,5,6}} [3,5,4,2,1,6] => {{1,2,3,4,5},{6}} [3,5,4,2,6,1] => {{1,2,3,4,5,6}} [3,5,4,6,1,2] => {{1,2,3,4,5,6}} [3,5,4,6,2,1] => {{1,3,4,6},{2,5}} [3,5,6,1,2,4] => {{1,3,4,6},{2,5}} [3,5,6,1,4,2] => {{1,2,3,4,5,6}} [3,5,6,2,1,4] => {{1,2,3,4,5,6}} [3,5,6,2,4,1] => {{1,3,6},{2,4,5}} [3,5,6,4,1,2] => {{1,2,3,5,6},{4}} [3,5,6,4,2,1] => {{1,3,6},{2,5},{4}} [3,6,1,2,4,5] => {{1,3},{2,4,5,6}} [3,6,1,2,5,4] => {{1,3},{2,4,6},{5}} [3,6,1,4,2,5] => {{1,3},{2,5,6},{4}} [3,6,1,4,5,2] => {{1,3},{2,6},{4},{5}} [3,6,1,5,2,4] => {{1,3},{2,4,5,6}} [3,6,1,5,4,2] => {{1,3},{2,6},{4,5}} [3,6,2,1,4,5] => {{1,2,3,4,5,6}} [3,6,2,1,5,4] => {{1,2,3,4,6},{5}} [3,6,2,4,1,5] => {{1,2,3,5,6},{4}} [3,6,2,4,5,1] => {{1,2,3,6},{4},{5}} [3,6,2,5,1,4] => {{1,2,3,4,5,6}} [3,6,2,5,4,1] => {{1,2,3,6},{4,5}} [3,6,4,1,2,5] => {{1,3,4},{2,5,6}} [3,6,4,1,5,2] => {{1,3,4},{2,6},{5}} [3,6,4,2,1,5] => {{1,2,3,4,5,6}} [3,6,4,2,5,1] => {{1,2,3,4,6},{5}} [3,6,4,5,1,2] => {{1,3,4,5},{2,6}} [3,6,4,5,2,1] => {{1,2,3,4,5,6}} [3,6,5,1,2,4] => {{1,2,3,4,5,6}} [3,6,5,1,4,2] => {{1,3,4,5},{2,6}} [3,6,5,2,1,4] => {{1,3,5},{2,4,6}} [3,6,5,2,4,1] => {{1,2,3,4,5,6}} [3,6,5,4,1,2] => {{1,3,5},{2,6},{4}} [3,6,5,4,2,1] => {{1,2,3,5,6},{4}} [4,1,2,3,5,6] => {{1,2,3,4},{5},{6}} [4,1,2,3,6,5] => {{1,2,3,4},{5,6}} [4,1,2,5,3,6] => {{1,2,3,4,5},{6}} [4,1,2,5,6,3] => {{1,2,3,4,5,6}} [4,1,2,6,3,5] => {{1,2,3,4,5,6}} [4,1,2,6,5,3] => {{1,2,3,4,6},{5}} [4,1,3,2,5,6] => {{1,2,4},{3},{5},{6}} [4,1,3,2,6,5] => {{1,2,4},{3},{5,6}} [4,1,3,5,2,6] => {{1,2,4,5},{3},{6}} [4,1,3,5,6,2] => {{1,2,4,5,6},{3}} [4,1,3,6,2,5] => {{1,2,4,5,6},{3}} [4,1,3,6,5,2] => {{1,2,4,6},{3},{5}} [4,1,5,2,3,6] => {{1,2,4},{3,5},{6}} [4,1,5,2,6,3] => {{1,2,4},{3,5,6}} [4,1,5,3,2,6] => {{1,2,3,4,5},{6}} [4,1,5,3,6,2] => {{1,2,3,4,5,6}} [4,1,5,6,2,3] => {{1,2,3,4,5,6}} [4,1,5,6,3,2] => {{1,2,4,6},{3,5}} [4,1,6,2,3,5] => {{1,2,4},{3,5,6}} [4,1,6,2,5,3] => {{1,2,4},{3,6},{5}} [4,1,6,3,2,5] => {{1,2,3,4,5,6}} [4,1,6,3,5,2] => {{1,2,3,4,6},{5}} [4,1,6,5,2,3] => {{1,2,4,5},{3,6}} [4,1,6,5,3,2] => {{1,2,3,4,5,6}} [4,2,1,3,5,6] => {{1,3,4},{2},{5},{6}} [4,2,1,3,6,5] => {{1,3,4},{2},{5,6}} [4,2,1,5,3,6] => {{1,3,4,5},{2},{6}} [4,2,1,5,6,3] => {{1,3,4,5,6},{2}} [4,2,1,6,3,5] => {{1,3,4,5,6},{2}} [4,2,1,6,5,3] => {{1,3,4,6},{2},{5}} [4,2,3,1,5,6] => {{1,4},{2},{3},{5},{6}} [4,2,3,1,6,5] => {{1,4},{2},{3},{5,6}} [4,2,3,5,1,6] => {{1,4,5},{2},{3},{6}} [4,2,3,5,6,1] => {{1,4,5,6},{2},{3}} [4,2,3,6,1,5] => {{1,4,5,6},{2},{3}} [4,2,3,6,5,1] => {{1,4,6},{2},{3},{5}} [4,2,5,1,3,6] => {{1,4},{2},{3,5},{6}} [4,2,5,1,6,3] => {{1,4},{2},{3,5,6}} [4,2,5,3,1,6] => {{1,3,4,5},{2},{6}} [4,2,5,3,6,1] => {{1,3,4,5,6},{2}} [4,2,5,6,1,3] => {{1,3,4,5,6},{2}} [4,2,5,6,3,1] => {{1,4,6},{2},{3,5}} [4,2,6,1,3,5] => {{1,4},{2},{3,5,6}} [4,2,6,1,5,3] => {{1,4},{2},{3,6},{5}} [4,2,6,3,1,5] => {{1,3,4,5,6},{2}} [4,2,6,3,5,1] => {{1,3,4,6},{2},{5}} [4,2,6,5,1,3] => {{1,4,5},{2},{3,6}} [4,2,6,5,3,1] => {{1,3,4,5,6},{2}} [4,3,1,2,5,6] => {{1,2,3,4},{5},{6}} [4,3,1,2,6,5] => {{1,2,3,4},{5,6}} [4,3,1,5,2,6] => {{1,2,3,4,5},{6}} [4,3,1,5,6,2] => {{1,2,3,4,5,6}} [4,3,1,6,2,5] => {{1,2,3,4,5,6}} [4,3,1,6,5,2] => {{1,2,3,4,6},{5}} [4,3,2,1,5,6] => {{1,4},{2,3},{5},{6}} [4,3,2,1,6,5] => {{1,4},{2,3},{5,6}} [4,3,2,5,1,6] => {{1,4,5},{2,3},{6}} [4,3,2,5,6,1] => {{1,4,5,6},{2,3}} [4,3,2,6,1,5] => {{1,4,5,6},{2,3}} [4,3,2,6,5,1] => {{1,4,6},{2,3},{5}} [4,3,5,1,2,6] => {{1,4},{2,3,5},{6}} [4,3,5,1,6,2] => {{1,4},{2,3,5,6}} [4,3,5,2,1,6] => {{1,2,3,4,5},{6}} [4,3,5,2,6,1] => {{1,2,3,4,5,6}} [4,3,5,6,1,2] => {{1,2,3,4,5,6}} [4,3,5,6,2,1] => {{1,4,6},{2,3,5}} [4,3,6,1,2,5] => {{1,4},{2,3,5,6}} [4,3,6,1,5,2] => {{1,4},{2,3,6},{5}} [4,3,6,2,1,5] => {{1,2,3,4,5,6}} [4,3,6,2,5,1] => {{1,2,3,4,6},{5}} [4,3,6,5,1,2] => {{1,4,5},{2,3,6}} [4,3,6,5,2,1] => {{1,2,3,4,5,6}} [4,5,1,2,3,6] => {{1,2,3,4,5},{6}} [4,5,1,2,6,3] => {{1,2,3,4,5,6}} [4,5,1,3,2,6] => {{1,3,4},{2,5},{6}} [4,5,1,3,6,2] => {{1,3,4},{2,5,6}} [4,5,1,6,2,3] => {{1,3,4,6},{2,5}} [4,5,1,6,3,2] => {{1,2,3,4,5,6}} [4,5,2,1,3,6] => {{1,4},{2,3,5},{6}} [4,5,2,1,6,3] => {{1,4},{2,3,5,6}} [4,5,2,3,1,6] => {{1,2,3,4,5},{6}} [4,5,2,3,6,1] => {{1,2,3,4,5,6}} [4,5,2,6,1,3] => {{1,2,3,4,5,6}} [4,5,2,6,3,1] => {{1,4,6},{2,3,5}} [4,5,3,1,2,6] => {{1,4},{2,5},{3},{6}} [4,5,3,1,6,2] => {{1,4},{2,5,6},{3}} [4,5,3,2,1,6] => {{1,2,4,5},{3},{6}} [4,5,3,2,6,1] => {{1,2,4,5,6},{3}} [4,5,3,6,1,2] => {{1,2,4,5,6},{3}} [4,5,3,6,2,1] => {{1,4,6},{2,5},{3}} [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} [4,5,6,1,3,2] => {{1,4},{2,3,5,6}} [4,5,6,2,1,3] => {{1,2,4,5},{3,6}} [4,5,6,2,3,1] => {{1,2,3,4,5,6}} [4,5,6,3,1,2] => {{1,2,3,4,5,6}} [4,5,6,3,2,1] => {{1,3,4,6},{2,5}} [4,6,1,2,3,5] => {{1,2,3,4,5,6}} [4,6,1,2,5,3] => {{1,2,3,4,6},{5}} [4,6,1,3,2,5] => {{1,3,4},{2,5,6}} [4,6,1,3,5,2] => {{1,3,4},{2,6},{5}} [4,6,1,5,2,3] => {{1,2,3,4,5,6}} [4,6,1,5,3,2] => {{1,3,4,5},{2,6}} [4,6,2,1,3,5] => {{1,4},{2,3,5,6}} [4,6,2,1,5,3] => {{1,4},{2,3,6},{5}} [4,6,2,3,1,5] => {{1,2,3,4,5,6}} [4,6,2,3,5,1] => {{1,2,3,4,6},{5}} [4,6,2,5,1,3] => {{1,4,5},{2,3,6}} [4,6,2,5,3,1] => {{1,2,3,4,5,6}} [4,6,3,1,2,5] => {{1,4},{2,5,6},{3}} [4,6,3,1,5,2] => {{1,4},{2,6},{3},{5}} [4,6,3,2,1,5] => {{1,2,4,5,6},{3}} [4,6,3,2,5,1] => {{1,2,4,6},{3},{5}} [4,6,3,5,1,2] => {{1,4,5},{2,6},{3}} [4,6,3,5,2,1] => {{1,2,4,5,6},{3}} [4,6,5,1,2,3] => {{1,4},{2,3,5,6}} [4,6,5,1,3,2] => {{1,4},{2,6},{3,5}} [4,6,5,2,1,3] => {{1,2,3,4,5,6}} [4,6,5,2,3,1] => {{1,2,4,6},{3,5}} [4,6,5,3,1,2] => {{1,3,4,5},{2,6}} [4,6,5,3,2,1] => {{1,2,3,4,5,6}} [5,1,2,3,4,6] => {{1,2,3,4,5},{6}} [5,1,2,3,6,4] => {{1,2,3,4,5,6}} [5,1,2,4,3,6] => {{1,2,3,5},{4},{6}} [5,1,2,4,6,3] => {{1,2,3,5,6},{4}} [5,1,2,6,3,4] => {{1,2,3,5},{4,6}} [5,1,2,6,4,3] => {{1,2,3,4,5,6}} [5,1,3,2,4,6] => {{1,2,4,5},{3},{6}} [5,1,3,2,6,4] => {{1,2,4,5,6},{3}} [5,1,3,4,2,6] => {{1,2,5},{3},{4},{6}} [5,1,3,4,6,2] => {{1,2,5,6},{3},{4}} [5,1,3,6,2,4] => {{1,2,5},{3},{4,6}} [5,1,3,6,4,2] => {{1,2,4,5,6},{3}} [5,1,4,2,3,6] => {{1,2,3,4,5},{6}} [5,1,4,2,6,3] => {{1,2,3,4,5,6}} [5,1,4,3,2,6] => {{1,2,5},{3,4},{6}} [5,1,4,3,6,2] => {{1,2,5,6},{3,4}} [5,1,4,6,2,3] => {{1,2,5},{3,4,6}} [5,1,4,6,3,2] => {{1,2,3,4,5,6}} [5,1,6,2,3,4] => {{1,2,3,4,5,6}} [5,1,6,2,4,3] => {{1,2,4,5},{3,6}} [5,1,6,3,2,4] => {{1,2,5},{3,4,6}} [5,1,6,3,4,2] => {{1,2,3,4,5,6}} [5,1,6,4,2,3] => {{1,2,5},{3,6},{4}} [5,1,6,4,3,2] => {{1,2,3,5,6},{4}} [5,2,1,3,4,6] => {{1,3,4,5},{2},{6}} [5,2,1,3,6,4] => {{1,3,4,5,6},{2}} [5,2,1,4,3,6] => {{1,3,5},{2},{4},{6}} [5,2,1,4,6,3] => {{1,3,5,6},{2},{4}} [5,2,1,6,3,4] => {{1,3,5},{2},{4,6}} [5,2,1,6,4,3] => {{1,3,4,5,6},{2}} [5,2,3,1,4,6] => {{1,4,5},{2},{3},{6}} [5,2,3,1,6,4] => {{1,4,5,6},{2},{3}} [5,2,3,4,1,6] => {{1,5},{2},{3},{4},{6}} [5,2,3,4,6,1] => {{1,5,6},{2},{3},{4}} [5,2,3,6,1,4] => {{1,5},{2},{3},{4,6}} [5,2,3,6,4,1] => {{1,4,5,6},{2},{3}} [5,2,4,1,3,6] => {{1,3,4,5},{2},{6}} [5,2,4,1,6,3] => {{1,3,4,5,6},{2}} [5,2,4,3,1,6] => {{1,5},{2},{3,4},{6}} [5,2,4,3,6,1] => {{1,5,6},{2},{3,4}} [5,2,4,6,1,3] => {{1,5},{2},{3,4,6}} [5,2,4,6,3,1] => {{1,3,4,5,6},{2}} [5,2,6,1,3,4] => {{1,3,4,5,6},{2}} [5,2,6,1,4,3] => {{1,4,5},{2},{3,6}} [5,2,6,3,1,4] => {{1,5},{2},{3,4,6}} [5,2,6,3,4,1] => {{1,3,4,5,6},{2}} [5,2,6,4,1,3] => {{1,5},{2},{3,6},{4}} [5,2,6,4,3,1] => {{1,3,5,6},{2},{4}} [5,3,1,2,4,6] => {{1,2,3,4,5},{6}} [5,3,1,2,6,4] => {{1,2,3,4,5,6}} [5,3,1,4,2,6] => {{1,2,3,5},{4},{6}} [5,3,1,4,6,2] => {{1,2,3,5,6},{4}} [5,3,1,6,2,4] => {{1,2,3,5},{4,6}} [5,3,1,6,4,2] => {{1,2,3,4,5,6}} [5,3,2,1,4,6] => {{1,4,5},{2,3},{6}} [5,3,2,1,6,4] => {{1,4,5,6},{2,3}} [5,3,2,4,1,6] => {{1,5},{2,3},{4},{6}} [5,3,2,4,6,1] => {{1,5,6},{2,3},{4}} [5,3,2,6,1,4] => {{1,5},{2,3},{4,6}} [5,3,2,6,4,1] => {{1,4,5,6},{2,3}} [5,3,4,1,2,6] => {{1,2,3,4,5},{6}} [5,3,4,1,6,2] => {{1,2,3,4,5,6}} [5,3,4,2,1,6] => {{1,5},{2,3,4},{6}} [5,3,4,2,6,1] => {{1,5,6},{2,3,4}} [5,3,4,6,1,2] => {{1,5},{2,3,4,6}} [5,3,4,6,2,1] => {{1,2,3,4,5,6}} [5,3,6,1,2,4] => {{1,2,3,4,5,6}} [5,3,6,1,4,2] => {{1,4,5},{2,3,6}} [5,3,6,2,1,4] => {{1,5},{2,3,4,6}} [5,3,6,2,4,1] => {{1,2,3,4,5,6}} [5,3,6,4,1,2] => {{1,5},{2,3,6},{4}} [5,3,6,4,2,1] => {{1,2,3,5,6},{4}} [5,4,1,2,3,6] => {{1,3,5},{2,4},{6}} [5,4,1,2,6,3] => {{1,3,5,6},{2,4}} [5,4,1,3,2,6] => {{1,2,3,4,5},{6}} [5,4,1,3,6,2] => {{1,2,3,4,5,6}} [5,4,1,6,2,3] => {{1,2,3,4,5,6}} [5,4,1,6,3,2] => {{1,3,5},{2,4,6}} [5,4,2,1,3,6] => {{1,2,3,4,5},{6}} [5,4,2,1,6,3] => {{1,2,3,4,5,6}} [5,4,2,3,1,6] => {{1,5},{2,3,4},{6}} [5,4,2,3,6,1] => {{1,5,6},{2,3,4}} [5,4,2,6,1,3] => {{1,5},{2,3,4,6}} [5,4,2,6,3,1] => {{1,2,3,4,5,6}} [5,4,3,1,2,6] => {{1,2,4,5},{3},{6}} [5,4,3,1,6,2] => {{1,2,4,5,6},{3}} [5,4,3,2,1,6] => {{1,5},{2,4},{3},{6}} [5,4,3,2,6,1] => {{1,5,6},{2,4},{3}} [5,4,3,6,1,2] => {{1,5},{2,4,6},{3}} [5,4,3,6,2,1] => {{1,2,4,5,6},{3}} [5,4,6,1,2,3] => {{1,2,4,5},{3,6}} [5,4,6,1,3,2] => {{1,2,3,4,5,6}} [5,4,6,2,1,3] => {{1,5},{2,4},{3,6}} [5,4,6,2,3,1] => {{1,3,5,6},{2,4}} [5,4,6,3,1,2] => {{1,5},{2,3,4,6}} [5,4,6,3,2,1] => {{1,2,3,4,5,6}} [5,6,1,2,3,4] => {{1,3,5},{2,4,6}} [5,6,1,2,4,3] => {{1,2,3,4,5,6}} [5,6,1,3,2,4] => {{1,2,3,4,5,6}} [5,6,1,3,4,2] => {{1,3,4,5},{2,6}} [5,6,1,4,2,3] => {{1,2,3,5,6},{4}} [5,6,1,4,3,2] => {{1,3,5},{2,6},{4}} [5,6,2,1,3,4] => {{1,2,3,4,5,6}} [5,6,2,1,4,3] => {{1,4,5},{2,3,6}} [5,6,2,3,1,4] => {{1,5},{2,3,4,6}} [5,6,2,3,4,1] => {{1,2,3,4,5,6}} [5,6,2,4,1,3] => {{1,5},{2,3,6},{4}} [5,6,2,4,3,1] => {{1,2,3,5,6},{4}} [5,6,3,1,2,4] => {{1,2,4,5,6},{3}} [5,6,3,1,4,2] => {{1,4,5},{2,6},{3}} [5,6,3,2,1,4] => {{1,5},{2,4,6},{3}} [5,6,3,2,4,1] => {{1,2,4,5,6},{3}} [5,6,3,4,1,2] => {{1,5},{2,6},{3},{4}} [5,6,3,4,2,1] => {{1,2,5,6},{3},{4}} [5,6,4,1,2,3] => {{1,2,3,4,5,6}} [5,6,4,1,3,2] => {{1,3,4,5},{2,6}} [5,6,4,2,1,3] => {{1,5},{2,3,4,6}} [5,6,4,2,3,1] => {{1,2,3,4,5,6}} [5,6,4,3,1,2] => {{1,5},{2,6},{3,4}} [5,6,4,3,2,1] => {{1,2,5,6},{3,4}} [6,1,2,3,4,5] => {{1,2,3,4,5,6}} [6,1,2,3,5,4] => {{1,2,3,4,6},{5}} [6,1,2,4,3,5] => {{1,2,3,5,6},{4}} [6,1,2,4,5,3] => {{1,2,3,6},{4},{5}} [6,1,2,5,3,4] => {{1,2,3,4,5,6}} [6,1,2,5,4,3] => {{1,2,3,6},{4,5}} [6,1,3,2,4,5] => {{1,2,4,5,6},{3}} [6,1,3,2,5,4] => {{1,2,4,6},{3},{5}} [6,1,3,4,2,5] => {{1,2,5,6},{3},{4}} [6,1,3,4,5,2] => {{1,2,6},{3},{4},{5}} [6,1,3,5,2,4] => {{1,2,4,5,6},{3}} [6,1,3,5,4,2] => {{1,2,6},{3},{4,5}} [6,1,4,2,3,5] => {{1,2,3,4,5,6}} [6,1,4,2,5,3] => {{1,2,3,4,6},{5}} [6,1,4,3,2,5] => {{1,2,5,6},{3,4}} [6,1,4,3,5,2] => {{1,2,6},{3,4},{5}} [6,1,4,5,2,3] => {{1,2,3,4,5,6}} [6,1,4,5,3,2] => {{1,2,6},{3,4,5}} [6,1,5,2,3,4] => {{1,2,4,6},{3,5}} [6,1,5,2,4,3] => {{1,2,3,4,5,6}} [6,1,5,3,2,4] => {{1,2,3,4,5,6}} [6,1,5,3,4,2] => {{1,2,6},{3,4,5}} [6,1,5,4,2,3] => {{1,2,3,5,6},{4}} [6,1,5,4,3,2] => {{1,2,6},{3,5},{4}} [6,2,1,3,4,5] => {{1,3,4,5,6},{2}} [6,2,1,3,5,4] => {{1,3,4,6},{2},{5}} [6,2,1,4,3,5] => {{1,3,5,6},{2},{4}} [6,2,1,4,5,3] => {{1,3,6},{2},{4},{5}} [6,2,1,5,3,4] => {{1,3,4,5,6},{2}} [6,2,1,5,4,3] => {{1,3,6},{2},{4,5}} [6,2,3,1,4,5] => {{1,4,5,6},{2},{3}} [6,2,3,1,5,4] => {{1,4,6},{2},{3},{5}} [6,2,3,4,1,5] => {{1,5,6},{2},{3},{4}} [6,2,3,4,5,1] => {{1,6},{2},{3},{4},{5}} [6,2,3,5,1,4] => {{1,4,5,6},{2},{3}} [6,2,3,5,4,1] => {{1,6},{2},{3},{4,5}} [6,2,4,1,3,5] => {{1,3,4,5,6},{2}} [6,2,4,1,5,3] => {{1,3,4,6},{2},{5}} [6,2,4,3,1,5] => {{1,5,6},{2},{3,4}} [6,2,4,3,5,1] => {{1,6},{2},{3,4},{5}} [6,2,4,5,1,3] => {{1,3,4,5,6},{2}} [6,2,4,5,3,1] => {{1,6},{2},{3,4,5}} [6,2,5,1,3,4] => {{1,4,6},{2},{3,5}} [6,2,5,1,4,3] => {{1,3,4,5,6},{2}} [6,2,5,3,1,4] => {{1,3,4,5,6},{2}} [6,2,5,3,4,1] => {{1,6},{2},{3,4,5}} [6,2,5,4,1,3] => {{1,3,5,6},{2},{4}} [6,2,5,4,3,1] => {{1,6},{2},{3,5},{4}} [6,3,1,2,4,5] => {{1,2,3,4,5,6}} [6,3,1,2,5,4] => {{1,2,3,4,6},{5}} [6,3,1,4,2,5] => {{1,2,3,5,6},{4}} [6,3,1,4,5,2] => {{1,2,3,6},{4},{5}} [6,3,1,5,2,4] => {{1,2,3,4,5,6}} [6,3,1,5,4,2] => {{1,2,3,6},{4,5}} [6,3,2,1,4,5] => {{1,4,5,6},{2,3}} [6,3,2,1,5,4] => {{1,4,6},{2,3},{5}} [6,3,2,4,1,5] => {{1,5,6},{2,3},{4}} [6,3,2,4,5,1] => {{1,6},{2,3},{4},{5}} [6,3,2,5,1,4] => {{1,4,5,6},{2,3}} [6,3,2,5,4,1] => {{1,6},{2,3},{4,5}} [6,3,4,1,2,5] => {{1,2,3,4,5,6}} [6,3,4,1,5,2] => {{1,2,3,4,6},{5}} [6,3,4,2,1,5] => {{1,5,6},{2,3,4}} [6,3,4,2,5,1] => {{1,6},{2,3,4},{5}} [6,3,4,5,1,2] => {{1,2,3,4,5,6}} [6,3,4,5,2,1] => {{1,6},{2,3,4,5}} [6,3,5,1,2,4] => {{1,4,6},{2,3,5}} [6,3,5,1,4,2] => {{1,2,3,4,5,6}} [6,3,5,2,1,4] => {{1,2,3,4,5,6}} [6,3,5,2,4,1] => {{1,6},{2,3,4,5}} [6,3,5,4,1,2] => {{1,2,3,5,6},{4}} [6,3,5,4,2,1] => {{1,6},{2,3,5},{4}} [6,4,1,2,3,5] => {{1,3,5,6},{2,4}} [6,4,1,2,5,3] => {{1,3,6},{2,4},{5}} [6,4,1,3,2,5] => {{1,2,3,4,5,6}} [6,4,1,3,5,2] => {{1,2,3,4,6},{5}} [6,4,1,5,2,3] => {{1,3,6},{2,4,5}} [6,4,1,5,3,2] => {{1,2,3,4,5,6}} [6,4,2,1,3,5] => {{1,2,3,4,5,6}} [6,4,2,1,5,3] => {{1,2,3,4,6},{5}} [6,4,2,3,1,5] => {{1,5,6},{2,3,4}} [6,4,2,3,5,1] => {{1,6},{2,3,4},{5}} [6,4,2,5,1,3] => {{1,2,3,4,5,6}} [6,4,2,5,3,1] => {{1,6},{2,3,4,5}} [6,4,3,1,2,5] => {{1,2,4,5,6},{3}} [6,4,3,1,5,2] => {{1,2,4,6},{3},{5}} [6,4,3,2,1,5] => {{1,5,6},{2,4},{3}} [6,4,3,2,5,1] => {{1,6},{2,4},{3},{5}} [6,4,3,5,1,2] => {{1,2,4,5,6},{3}} [6,4,3,5,2,1] => {{1,6},{2,4,5},{3}} [6,4,5,1,2,3] => {{1,2,3,4,5,6}} [6,4,5,1,3,2] => {{1,2,4,6},{3,5}} [6,4,5,2,1,3] => {{1,3,5,6},{2,4}} [6,4,5,2,3,1] => {{1,6},{2,4},{3,5}} [6,4,5,3,1,2] => {{1,2,3,4,5,6}} [6,4,5,3,2,1] => {{1,6},{2,3,4,5}} [6,5,1,2,3,4] => {{1,2,3,4,5,6}} [6,5,1,2,4,3] => {{1,3,6},{2,4,5}} [6,5,1,3,2,4] => {{1,3,4,6},{2,5}} [6,5,1,3,4,2] => {{1,2,3,4,5,6}} [6,5,1,4,2,3] => {{1,3,6},{2,5},{4}} [6,5,1,4,3,2] => {{1,2,3,5,6},{4}} [6,5,2,1,3,4] => {{1,4,6},{2,3,5}} [6,5,2,1,4,3] => {{1,2,3,4,5,6}} [6,5,2,3,1,4] => {{1,2,3,4,5,6}} [6,5,2,3,4,1] => {{1,6},{2,3,4,5}} [6,5,2,4,1,3] => {{1,2,3,5,6},{4}} [6,5,2,4,3,1] => {{1,6},{2,3,5},{4}} [6,5,3,1,2,4] => {{1,4,6},{2,5},{3}} [6,5,3,1,4,2] => {{1,2,4,5,6},{3}} [6,5,3,2,1,4] => {{1,2,4,5,6},{3}} [6,5,3,2,4,1] => {{1,6},{2,4,5},{3}} [6,5,3,4,1,2] => {{1,2,5,6},{3},{4}} [6,5,3,4,2,1] => {{1,6},{2,5},{3},{4}} [6,5,4,1,2,3] => {{1,3,4,6},{2,5}} [6,5,4,1,3,2] => {{1,2,3,4,5,6}} [6,5,4,2,1,3] => {{1,2,3,4,5,6}} [6,5,4,2,3,1] => {{1,6},{2,3,4,5}} [6,5,4,3,1,2] => {{1,2,5,6},{3,4}} [6,5,4,3,2,1] => {{1,6},{2,5},{3,4}} [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} [1,2,3,4,6,5,7] => {{1},{2},{3},{4},{5,6},{7}} [1,2,3,4,6,7,5] => {{1},{2},{3},{4},{5,6,7}} [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,6,7}} [1,2,3,4,7,6,5] => {{1},{2},{3},{4},{5,7},{6}} [1,2,3,5,4,6,7] => {{1},{2},{3},{4,5},{6},{7}} [1,2,3,5,4,7,6] => {{1},{2},{3},{4,5},{6,7}} [1,2,3,5,6,4,7] => {{1},{2},{3},{4,5,6},{7}} [1,2,3,5,6,7,4] => {{1},{2},{3},{4,5,6,7}} [1,2,3,5,7,4,6] => {{1},{2},{3},{4,5,6,7}} [1,2,3,5,7,6,4] => {{1},{2},{3},{4,5,7},{6}} [1,2,3,6,4,5,7] => {{1},{2},{3},{4,5,6},{7}} [1,2,3,6,4,7,5] => {{1},{2},{3},{4,5,6,7}} [1,2,3,6,5,4,7] => {{1},{2},{3},{4,6},{5},{7}} [1,2,3,6,5,7,4] => {{1},{2},{3},{4,6,7},{5}} [1,2,3,6,7,4,5] => {{1},{2},{3},{4,6},{5,7}} [1,2,3,6,7,5,4] => {{1},{2},{3},{4,5,6,7}} [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} [1,2,3,7,4,6,5] => {{1},{2},{3},{4,5,7},{6}} [1,2,3,7,5,4,6] => {{1},{2},{3},{4,6,7},{5}} [1,2,3,7,5,6,4] => {{1},{2},{3},{4,7},{5},{6}} [1,2,3,7,6,4,5] => {{1},{2},{3},{4,5,6,7}} [1,2,3,7,6,5,4] => {{1},{2},{3},{4,7},{5,6}} [1,2,4,3,5,6,7] => {{1},{2},{3,4},{5},{6},{7}} [1,2,4,3,5,7,6] => {{1},{2},{3,4},{5},{6,7}} [1,2,4,3,6,5,7] => {{1},{2},{3,4},{5,6},{7}} [1,2,4,3,6,7,5] => {{1},{2},{3,4},{5,6,7}} [1,2,4,3,7,5,6] => {{1},{2},{3,4},{5,6,7}} [1,2,4,3,7,6,5] => {{1},{2},{3,4},{5,7},{6}} [1,2,4,5,3,6,7] => {{1},{2},{3,4,5},{6},{7}} [1,2,4,5,3,7,6] => {{1},{2},{3,4,5},{6,7}} [1,2,4,5,6,3,7] => {{1},{2},{3,4,5,6},{7}} [1,2,4,5,6,7,3] => {{1},{2},{3,4,5,6,7}} [1,2,4,5,7,3,6] => {{1},{2},{3,4,5,6,7}} [1,2,4,5,7,6,3] => {{1},{2},{3,4,5,7},{6}} [1,2,4,6,3,5,7] => {{1},{2},{3,4,5,6},{7}} [1,2,4,6,3,7,5] => {{1},{2},{3,4,5,6,7}} [1,2,4,6,5,3,7] => {{1},{2},{3,4,6},{5},{7}} [1,2,4,6,5,7,3] => {{1},{2},{3,4,6,7},{5}} [1,2,4,6,7,3,5] => {{1},{2},{3,4,6},{5,7}} [1,2,4,6,7,5,3] => {{1},{2},{3,4,5,6,7}} [1,2,4,7,3,5,6] => {{1},{2},{3,4,5,6,7}} [1,2,4,7,3,6,5] => {{1},{2},{3,4,5,7},{6}} [1,2,4,7,5,3,6] => {{1},{2},{3,4,6,7},{5}} [1,2,4,7,5,6,3] => {{1},{2},{3,4,7},{5},{6}} [1,2,4,7,6,3,5] => {{1},{2},{3,4,5,6,7}} [1,2,4,7,6,5,3] => {{1},{2},{3,4,7},{5,6}} [1,2,5,3,4,6,7] => {{1},{2},{3,4,5},{6},{7}} [1,2,5,3,4,7,6] => {{1},{2},{3,4,5},{6,7}} [1,2,5,3,6,4,7] => {{1},{2},{3,4,5,6},{7}} [1,2,5,3,6,7,4] => {{1},{2},{3,4,5,6,7}} [1,2,5,3,7,4,6] => {{1},{2},{3,4,5,6,7}} [1,2,5,3,7,6,4] => {{1},{2},{3,4,5,7},{6}} [1,2,5,4,3,6,7] => {{1},{2},{3,5},{4},{6},{7}} [1,2,5,4,3,7,6] => {{1},{2},{3,5},{4},{6,7}} [1,2,5,4,6,3,7] => {{1},{2},{3,5,6},{4},{7}} [1,2,5,4,6,7,3] => {{1},{2},{3,5,6,7},{4}} [1,2,5,4,7,3,6] => {{1},{2},{3,5,6,7},{4}} [1,2,5,4,7,6,3] => {{1},{2},{3,5,7},{4},{6}} [1,2,5,6,3,4,7] => {{1},{2},{3,5},{4,6},{7}} [1,2,5,6,3,7,4] => {{1},{2},{3,5},{4,6,7}} [1,2,5,6,4,3,7] => {{1},{2},{3,4,5,6},{7}} [1,2,5,6,4,7,3] => {{1},{2},{3,4,5,6,7}} [1,2,5,6,7,3,4] => {{1},{2},{3,4,5,6,7}} [1,2,5,6,7,4,3] => {{1},{2},{3,5,7},{4,6}} [1,2,5,7,3,4,6] => {{1},{2},{3,5},{4,6,7}} [1,2,5,7,3,6,4] => {{1},{2},{3,5},{4,7},{6}} [1,2,5,7,4,3,6] => {{1},{2},{3,4,5,6,7}} [1,2,5,7,4,6,3] => {{1},{2},{3,4,5,7},{6}} [1,2,5,7,6,3,4] => {{1},{2},{3,5,6},{4,7}} [1,2,5,7,6,4,3] => {{1},{2},{3,4,5,6,7}} [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} [1,2,6,3,4,7,5] => {{1},{2},{3,4,5,6,7}} [1,2,6,3,5,4,7] => {{1},{2},{3,4,6},{5},{7}} [1,2,6,3,5,7,4] => {{1},{2},{3,4,6,7},{5}} [1,2,6,3,7,4,5] => {{1},{2},{3,4,6},{5,7}} [1,2,6,3,7,5,4] => {{1},{2},{3,4,5,6,7}} [1,2,6,4,3,5,7] => {{1},{2},{3,5,6},{4},{7}} [1,2,6,4,3,7,5] => {{1},{2},{3,5,6,7},{4}} [1,2,6,4,5,3,7] => {{1},{2},{3,6},{4},{5},{7}} [1,2,6,4,5,7,3] => {{1},{2},{3,6,7},{4},{5}} [1,2,6,4,7,3,5] => {{1},{2},{3,6},{4},{5,7}} [1,2,6,4,7,5,3] => {{1},{2},{3,5,6,7},{4}} [1,2,6,5,3,4,7] => {{1},{2},{3,4,5,6},{7}} [1,2,6,5,3,7,4] => {{1},{2},{3,4,5,6,7}} [1,2,6,5,4,3,7] => {{1},{2},{3,6},{4,5},{7}} [1,2,6,5,4,7,3] => {{1},{2},{3,6,7},{4,5}} [1,2,6,5,7,3,4] => {{1},{2},{3,6},{4,5,7}} [1,2,6,5,7,4,3] => {{1},{2},{3,4,5,6,7}} [1,2,6,7,3,4,5] => {{1},{2},{3,4,5,6,7}} [1,2,6,7,3,5,4] => {{1},{2},{3,5,6},{4,7}} [1,2,6,7,4,3,5] => {{1},{2},{3,6},{4,5,7}} [1,2,6,7,4,5,3] => {{1},{2},{3,4,5,6,7}} [1,2,6,7,5,3,4] => {{1},{2},{3,6},{4,7},{5}} [1,2,6,7,5,4,3] => {{1},{2},{3,4,6,7},{5}} [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} [1,2,7,3,4,6,5] => {{1},{2},{3,4,5,7},{6}} [1,2,7,3,5,4,6] => {{1},{2},{3,4,6,7},{5}} [1,2,7,3,5,6,4] => {{1},{2},{3,4,7},{5},{6}} [1,2,7,3,6,4,5] => {{1},{2},{3,4,5,6,7}} [1,2,7,3,6,5,4] => {{1},{2},{3,4,7},{5,6}} [1,2,7,4,3,5,6] => {{1},{2},{3,5,6,7},{4}} [1,2,7,4,3,6,5] => {{1},{2},{3,5,7},{4},{6}} [1,2,7,4,5,3,6] => {{1},{2},{3,6,7},{4},{5}} [1,2,7,4,5,6,3] => {{1},{2},{3,7},{4},{5},{6}} [1,2,7,4,6,3,5] => {{1},{2},{3,5,6,7},{4}} [1,2,7,4,6,5,3] => {{1},{2},{3,7},{4},{5,6}} [1,2,7,5,3,4,6] => {{1},{2},{3,4,5,6,7}} [1,2,7,5,3,6,4] => {{1},{2},{3,4,5,7},{6}} [1,2,7,5,4,3,6] => {{1},{2},{3,6,7},{4,5}} [1,2,7,5,4,6,3] => {{1},{2},{3,7},{4,5},{6}} [1,2,7,5,6,3,4] => {{1},{2},{3,4,5,6,7}} [1,2,7,5,6,4,3] => {{1},{2},{3,7},{4,5,6}} [1,2,7,6,3,4,5] => {{1},{2},{3,5,7},{4,6}} [1,2,7,6,3,5,4] => {{1},{2},{3,4,5,6,7}} [1,2,7,6,4,3,5] => {{1},{2},{3,4,5,6,7}} [1,2,7,6,4,5,3] => {{1},{2},{3,7},{4,5,6}} [1,2,7,6,5,3,4] => {{1},{2},{3,4,6,7},{5}} [1,2,7,6,5,4,3] => {{1},{2},{3,7},{4,6},{5}} [1,3,2,4,5,6,7] => {{1},{2,3},{4},{5},{6},{7}} [1,3,2,4,5,7,6] => {{1},{2,3},{4},{5},{6,7}} [1,3,2,4,6,5,7] => {{1},{2,3},{4},{5,6},{7}} [1,3,2,4,6,7,5] => {{1},{2,3},{4},{5,6,7}} [1,3,2,4,7,5,6] => {{1},{2,3},{4},{5,6,7}} [1,3,2,4,7,6,5] => {{1},{2,3},{4},{5,7},{6}} [1,3,2,5,4,6,7] => {{1},{2,3},{4,5},{6},{7}} [1,3,2,5,4,7,6] => {{1},{2,3},{4,5},{6,7}} [1,3,2,5,6,4,7] => {{1},{2,3},{4,5,6},{7}} [1,3,2,5,6,7,4] => {{1},{2,3},{4,5,6,7}} [1,3,2,5,7,4,6] => {{1},{2,3},{4,5,6,7}} [1,3,2,5,7,6,4] => {{1},{2,3},{4,5,7},{6}} [1,3,2,6,4,5,7] => {{1},{2,3},{4,5,6},{7}} [1,3,2,6,4,7,5] => {{1},{2,3},{4,5,6,7}} [1,3,2,6,5,4,7] => {{1},{2,3},{4,6},{5},{7}} [1,3,2,6,5,7,4] => {{1},{2,3},{4,6,7},{5}} [1,3,2,6,7,4,5] => {{1},{2,3},{4,6},{5,7}} [1,3,2,6,7,5,4] => {{1},{2,3},{4,5,6,7}} [1,3,2,7,4,5,6] => {{1},{2,3},{4,5,6,7}} [1,3,2,7,4,6,5] => {{1},{2,3},{4,5,7},{6}} [1,3,2,7,5,4,6] => {{1},{2,3},{4,6,7},{5}} [1,3,2,7,5,6,4] => {{1},{2,3},{4,7},{5},{6}} [1,3,2,7,6,4,5] => {{1},{2,3},{4,5,6,7}} [1,3,2,7,6,5,4] => {{1},{2,3},{4,7},{5,6}} [1,3,4,2,5,6,7] => {{1},{2,3,4},{5},{6},{7}} [1,3,4,2,5,7,6] => {{1},{2,3,4},{5},{6,7}} [1,3,4,2,6,5,7] => {{1},{2,3,4},{5,6},{7}} [1,3,4,2,6,7,5] => {{1},{2,3,4},{5,6,7}} [1,3,4,2,7,5,6] => {{1},{2,3,4},{5,6,7}} [1,3,4,2,7,6,5] => {{1},{2,3,4},{5,7},{6}} [1,3,4,5,2,6,7] => {{1},{2,3,4,5},{6},{7}} [1,3,4,5,2,7,6] => {{1},{2,3,4,5},{6,7}} [1,3,4,5,6,2,7] => {{1},{2,3,4,5,6},{7}} [1,3,4,5,6,7,2] => {{1},{2,3,4,5,6,7}} [1,3,4,5,7,2,6] => {{1},{2,3,4,5,6,7}} [1,3,4,5,7,6,2] => {{1},{2,3,4,5,7},{6}} [1,3,4,6,2,5,7] => {{1},{2,3,4,5,6},{7}} [1,3,4,6,2,7,5] => {{1},{2,3,4,5,6,7}} [1,3,4,6,5,2,7] => {{1},{2,3,4,6},{5},{7}} [1,3,4,6,5,7,2] => {{1},{2,3,4,6,7},{5}} [1,3,4,6,7,2,5] => {{1},{2,3,4,6},{5,7}} [1,3,4,6,7,5,2] => {{1},{2,3,4,5,6,7}} [1,3,4,7,2,5,6] => {{1},{2,3,4,5,6,7}} [1,3,4,7,2,6,5] => {{1},{2,3,4,5,7},{6}} [1,3,4,7,5,2,6] => {{1},{2,3,4,6,7},{5}} [1,3,4,7,5,6,2] => {{1},{2,3,4,7},{5},{6}} [1,3,4,7,6,2,5] => {{1},{2,3,4,5,6,7}} [1,3,4,7,6,5,2] => {{1},{2,3,4,7},{5,6}} [1,3,5,2,4,6,7] => {{1},{2,3,4,5},{6},{7}} [1,3,5,2,4,7,6] => {{1},{2,3,4,5},{6,7}} [1,3,5,2,6,4,7] => {{1},{2,3,4,5,6},{7}} [1,3,5,2,6,7,4] => {{1},{2,3,4,5,6,7}} [1,3,5,2,7,4,6] => {{1},{2,3,4,5,6,7}} [1,3,5,2,7,6,4] => {{1},{2,3,4,5,7},{6}} [1,3,5,4,2,6,7] => {{1},{2,3,5},{4},{6},{7}} [1,3,5,4,2,7,6] => {{1},{2,3,5},{4},{6,7}} [1,3,5,4,6,2,7] => {{1},{2,3,5,6},{4},{7}} [1,3,5,4,6,7,2] => {{1},{2,3,5,6,7},{4}} [1,3,5,4,7,2,6] => {{1},{2,3,5,6,7},{4}} [1,3,5,4,7,6,2] => {{1},{2,3,5,7},{4},{6}} [1,3,5,6,2,4,7] => {{1},{2,3,5},{4,6},{7}} [1,3,5,6,2,7,4] => {{1},{2,3,5},{4,6,7}} [1,3,5,6,4,2,7] => {{1},{2,3,4,5,6},{7}} [1,3,5,6,4,7,2] => {{1},{2,3,4,5,6,7}} [1,3,5,6,7,2,4] => {{1},{2,3,4,5,6,7}} [1,3,5,6,7,4,2] => {{1},{2,3,5,7},{4,6}} [1,3,5,7,2,4,6] => {{1},{2,3,5},{4,6,7}} [1,3,5,7,2,6,4] => {{1},{2,3,5},{4,7},{6}} [1,3,5,7,4,2,6] => {{1},{2,3,4,5,6,7}} [1,3,5,7,4,6,2] => {{1},{2,3,4,5,7},{6}} [1,3,5,7,6,2,4] => {{1},{2,3,5,6},{4,7}} [1,3,5,7,6,4,2] => {{1},{2,3,4,5,6,7}} [1,3,6,2,4,5,7] => {{1},{2,3,4,5,6},{7}} [1,3,6,2,4,7,5] => {{1},{2,3,4,5,6,7}} [1,3,6,2,5,4,7] => {{1},{2,3,4,6},{5},{7}} [1,3,6,2,5,7,4] => {{1},{2,3,4,6,7},{5}} [1,3,6,2,7,4,5] => {{1},{2,3,4,6},{5,7}} [1,3,6,2,7,5,4] => {{1},{2,3,4,5,6,7}} [1,3,6,4,2,5,7] => {{1},{2,3,5,6},{4},{7}} [1,3,6,4,2,7,5] => {{1},{2,3,5,6,7},{4}} [1,3,6,4,5,2,7] => {{1},{2,3,6},{4},{5},{7}} [1,3,6,4,5,7,2] => {{1},{2,3,6,7},{4},{5}} [1,3,6,4,7,2,5] => {{1},{2,3,6},{4},{5,7}} [1,3,6,4,7,5,2] => {{1},{2,3,5,6,7},{4}} [1,3,6,5,2,4,7] => {{1},{2,3,4,5,6},{7}} [1,3,6,5,2,7,4] => {{1},{2,3,4,5,6,7}} [1,3,6,5,4,2,7] => {{1},{2,3,6},{4,5},{7}} [1,3,6,5,4,7,2] => {{1},{2,3,6,7},{4,5}} [1,3,6,5,7,2,4] => {{1},{2,3,6},{4,5,7}} [1,3,6,5,7,4,2] => {{1},{2,3,4,5,6,7}} [1,3,6,7,2,4,5] => {{1},{2,3,4,5,6,7}} [1,3,6,7,2,5,4] => {{1},{2,3,5,6},{4,7}} [1,3,6,7,4,2,5] => {{1},{2,3,6},{4,5,7}} [1,3,6,7,4,5,2] => {{1},{2,3,4,5,6,7}} [1,3,6,7,5,2,4] => {{1},{2,3,6},{4,7},{5}} [1,3,6,7,5,4,2] => {{1},{2,3,4,6,7},{5}} [1,3,7,2,4,5,6] => {{1},{2,3,4,5,6,7}} [1,3,7,2,4,6,5] => {{1},{2,3,4,5,7},{6}} [1,3,7,2,5,4,6] => {{1},{2,3,4,6,7},{5}} [1,3,7,2,5,6,4] => {{1},{2,3,4,7},{5},{6}} [1,3,7,2,6,4,5] => {{1},{2,3,4,5,6,7}} [1,3,7,2,6,5,4] => {{1},{2,3,4,7},{5,6}} [1,3,7,4,2,5,6] => {{1},{2,3,5,6,7},{4}} [1,3,7,4,2,6,5] => {{1},{2,3,5,7},{4},{6}} [1,3,7,4,5,2,6] => {{1},{2,3,6,7},{4},{5}} [1,3,7,4,5,6,2] => {{1},{2,3,7},{4},{5},{6}} [1,3,7,4,6,2,5] => {{1},{2,3,5,6,7},{4}} [1,3,7,4,6,5,2] => {{1},{2,3,7},{4},{5,6}} [1,3,7,5,2,4,6] => {{1},{2,3,4,5,6,7}} [1,3,7,5,2,6,4] => {{1},{2,3,4,5,7},{6}} [1,3,7,5,4,2,6] => {{1},{2,3,6,7},{4,5}} [1,3,7,5,4,6,2] => {{1},{2,3,7},{4,5},{6}} [1,3,7,5,6,2,4] => {{1},{2,3,4,5,6,7}} [1,3,7,5,6,4,2] => {{1},{2,3,7},{4,5,6}} [1,3,7,6,2,4,5] => {{1},{2,3,5,7},{4,6}} [1,3,7,6,2,5,4] => {{1},{2,3,4,5,6,7}} [1,3,7,6,4,2,5] => {{1},{2,3,4,5,6,7}} [1,3,7,6,4,5,2] => {{1},{2,3,7},{4,5,6}} [1,3,7,6,5,2,4] => {{1},{2,3,4,6,7},{5}} [1,3,7,6,5,4,2] => {{1},{2,3,7},{4,6},{5}} [1,4,2,3,5,6,7] => {{1},{2,3,4},{5},{6},{7}} [1,4,2,3,5,7,6] => {{1},{2,3,4},{5},{6,7}} [1,4,2,3,6,5,7] => {{1},{2,3,4},{5,6},{7}} [1,4,2,3,6,7,5] => {{1},{2,3,4},{5,6,7}} [1,4,2,3,7,5,6] => {{1},{2,3,4},{5,6,7}} [1,4,2,3,7,6,5] => {{1},{2,3,4},{5,7},{6}} [1,4,2,5,3,6,7] => {{1},{2,3,4,5},{6},{7}} [1,4,2,5,3,7,6] => {{1},{2,3,4,5},{6,7}} [1,4,2,5,6,3,7] => {{1},{2,3,4,5,6},{7}} [1,4,2,5,6,7,3] => {{1},{2,3,4,5,6,7}} [1,4,2,5,7,3,6] => {{1},{2,3,4,5,6,7}} [1,4,2,5,7,6,3] => {{1},{2,3,4,5,7},{6}} [1,4,2,6,3,5,7] => {{1},{2,3,4,5,6},{7}} [1,4,2,6,3,7,5] => {{1},{2,3,4,5,6,7}} [1,4,2,6,5,3,7] => {{1},{2,3,4,6},{5},{7}} [1,4,2,6,5,7,3] => {{1},{2,3,4,6,7},{5}} [1,4,2,6,7,3,5] => {{1},{2,3,4,6},{5,7}} [1,4,2,6,7,5,3] => {{1},{2,3,4,5,6,7}} [1,4,2,7,3,5,6] => {{1},{2,3,4,5,6,7}} [1,4,2,7,3,6,5] => {{1},{2,3,4,5,7},{6}} [1,4,2,7,5,3,6] => {{1},{2,3,4,6,7},{5}} [1,4,2,7,5,6,3] => {{1},{2,3,4,7},{5},{6}} [1,4,2,7,6,3,5] => {{1},{2,3,4,5,6,7}} [1,4,2,7,6,5,3] => {{1},{2,3,4,7},{5,6}} [1,4,3,2,5,6,7] => {{1},{2,4},{3},{5},{6},{7}} [1,4,3,2,5,7,6] => {{1},{2,4},{3},{5},{6,7}} [1,4,3,2,6,5,7] => {{1},{2,4},{3},{5,6},{7}} [1,4,3,2,6,7,5] => {{1},{2,4},{3},{5,6,7}} [1,4,3,2,7,5,6] => {{1},{2,4},{3},{5,6,7}} [1,4,3,2,7,6,5] => {{1},{2,4},{3},{5,7},{6}} [1,4,3,5,2,6,7] => {{1},{2,4,5},{3},{6},{7}} [1,4,3,5,2,7,6] => {{1},{2,4,5},{3},{6,7}} [1,4,3,5,6,2,7] => {{1},{2,4,5,6},{3},{7}} [1,4,3,5,6,7,2] => {{1},{2,4,5,6,7},{3}} [1,4,3,5,7,2,6] => {{1},{2,4,5,6,7},{3}} [1,4,3,5,7,6,2] => {{1},{2,4,5,7},{3},{6}} [1,4,3,6,2,5,7] => {{1},{2,4,5,6},{3},{7}} [1,4,3,6,2,7,5] => {{1},{2,4,5,6,7},{3}} [1,4,3,6,5,2,7] => {{1},{2,4,6},{3},{5},{7}} [1,4,3,6,5,7,2] => {{1},{2,4,6,7},{3},{5}} [1,4,3,6,7,2,5] => {{1},{2,4,6},{3},{5,7}} [1,4,3,6,7,5,2] => {{1},{2,4,5,6,7},{3}} [1,4,3,7,2,5,6] => {{1},{2,4,5,6,7},{3}} [1,4,3,7,2,6,5] => {{1},{2,4,5,7},{3},{6}} [1,4,3,7,5,2,6] => {{1},{2,4,6,7},{3},{5}} [1,4,3,7,5,6,2] => {{1},{2,4,7},{3},{5},{6}} [1,4,3,7,6,2,5] => {{1},{2,4,5,6,7},{3}} [1,4,3,7,6,5,2] => {{1},{2,4,7},{3},{5,6}} [1,4,5,2,3,6,7] => {{1},{2,4},{3,5},{6},{7}} [1,4,5,2,3,7,6] => {{1},{2,4},{3,5},{6,7}} [1,4,5,2,6,3,7] => {{1},{2,4},{3,5,6},{7}} [1,4,5,2,6,7,3] => {{1},{2,4},{3,5,6,7}} [1,4,5,2,7,3,6] => {{1},{2,4},{3,5,6,7}} [1,4,5,2,7,6,3] => {{1},{2,4},{3,5,7},{6}} [1,4,5,3,2,6,7] => {{1},{2,3,4,5},{6},{7}} [1,4,5,3,2,7,6] => {{1},{2,3,4,5},{6,7}} [1,4,5,3,6,2,7] => {{1},{2,3,4,5,6},{7}} [1,4,5,3,6,7,2] => {{1},{2,3,4,5,6,7}} [1,4,5,3,7,2,6] => {{1},{2,3,4,5,6,7}} [1,4,5,3,7,6,2] => {{1},{2,3,4,5,7},{6}} [1,4,5,6,2,3,7] => {{1},{2,3,4,5,6},{7}} [1,4,5,6,2,7,3] => {{1},{2,3,4,5,6,7}} [1,4,5,6,3,2,7] => {{1},{2,4,6},{3,5},{7}} [1,4,5,6,3,7,2] => {{1},{2,4,6,7},{3,5}} [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} [1,4,5,6,7,3,2] => {{1},{2,3,4,5,6,7}} [1,4,5,7,2,3,6] => {{1},{2,3,4,5,6,7}} [1,4,5,7,2,6,3] => {{1},{2,3,4,5,7},{6}} [1,4,5,7,3,2,6] => {{1},{2,4,6,7},{3,5}} [1,4,5,7,3,6,2] => {{1},{2,4,7},{3,5},{6}} [1,4,5,7,6,2,3] => {{1},{2,3,4,5,6,7}} [1,4,5,7,6,3,2] => {{1},{2,4,7},{3,5,6}} [1,4,6,2,3,5,7] => {{1},{2,4},{3,5,6},{7}} [1,4,6,2,3,7,5] => {{1},{2,4},{3,5,6,7}} [1,4,6,2,5,3,7] => {{1},{2,4},{3,6},{5},{7}} [1,4,6,2,5,7,3] => {{1},{2,4},{3,6,7},{5}} [1,4,6,2,7,3,5] => {{1},{2,4},{3,6},{5,7}} [1,4,6,2,7,5,3] => {{1},{2,4},{3,5,6,7}} [1,4,6,3,2,5,7] => {{1},{2,3,4,5,6},{7}} [1,4,6,3,2,7,5] => {{1},{2,3,4,5,6,7}} [1,4,6,3,5,2,7] => {{1},{2,3,4,6},{5},{7}} [1,4,6,3,5,7,2] => {{1},{2,3,4,6,7},{5}} [1,4,6,3,7,2,5] => {{1},{2,3,4,6},{5,7}} [1,4,6,3,7,5,2] => {{1},{2,3,4,5,6,7}} [1,4,6,5,2,3,7] => {{1},{2,4,5},{3,6},{7}} [1,4,6,5,2,7,3] => {{1},{2,4,5},{3,6,7}} [1,4,6,5,3,2,7] => {{1},{2,3,4,5,6},{7}} ----------------------------------------------------------------------------- Created: Sep 25, 2020 at 16:52 by Tilman Moeller ----------------------------------------------------------------------------- Last Updated: Sep 25, 2020 at 16:57 by Christian Stump