************************************************************************ * 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: Mp00128 ------------------------------------------------------------------------ Map name: to composition ------------------------------------------------------------------------ Domain: Set partitions ------------------------------------------------------------------------ Codomain: Integer compositions ------------------------------------------------------------------------ Description: The integer composition of block sizes of a set partition. For a set partition of $\{1,2,\dots,n\}$, this is the integer composition of $n$ obtained by sorting the blocks by their minimal element and then taking the block sizes. ------------------------------------------------------------------------ References: ------------------------------------------------------------------------ Code: def mapping(pi): return Composition([len(b) for b in sorted([sorted(p) for p in pi])]) ------------------------------------------------------------------------ Map images: {{1}} => [1] {{1,2}} => [2] {{1},{2}} => [1,1] {{1,2,3}} => [3] {{1,2},{3}} => [2,1] {{1,3},{2}} => [2,1] {{1},{2,3}} => [1,2] {{1},{2},{3}} => [1,1,1] {{1,2,3,4}} => [4] {{1,2,3},{4}} => [3,1] {{1,2,4},{3}} => [3,1] {{1,2},{3,4}} => [2,2] {{1,2},{3},{4}} => [2,1,1] {{1,3,4},{2}} => [3,1] {{1,3},{2,4}} => [2,2] {{1,3},{2},{4}} => [2,1,1] {{1,4},{2,3}} => [2,2] {{1},{2,3,4}} => [1,3] {{1},{2,3},{4}} => [1,2,1] {{1,4},{2},{3}} => [2,1,1] {{1},{2,4},{3}} => [1,2,1] {{1},{2},{3,4}} => [1,1,2] {{1},{2},{3},{4}} => [1,1,1,1] {{1,2,3,4,5}} => [5] {{1,2,3,4},{5}} => [4,1] {{1,2,3,5},{4}} => [4,1] {{1,2,3},{4,5}} => [3,2] {{1,2,3},{4},{5}} => [3,1,1] {{1,2,4,5},{3}} => [4,1] {{1,2,4},{3,5}} => [3,2] {{1,2,4},{3},{5}} => [3,1,1] {{1,2,5},{3,4}} => [3,2] {{1,2},{3,4,5}} => [2,3] {{1,2},{3,4},{5}} => [2,2,1] {{1,2,5},{3},{4}} => [3,1,1] {{1,2},{3,5},{4}} => [2,2,1] {{1,2},{3},{4,5}} => [2,1,2] {{1,2},{3},{4},{5}} => [2,1,1,1] {{1,3,4,5},{2}} => [4,1] {{1,3,4},{2,5}} => [3,2] {{1,3,4},{2},{5}} => [3,1,1] {{1,3,5},{2,4}} => [3,2] {{1,3},{2,4,5}} => [2,3] {{1,3},{2,4},{5}} => [2,2,1] {{1,3,5},{2},{4}} => [3,1,1] {{1,3},{2,5},{4}} => [2,2,1] {{1,3},{2},{4,5}} => [2,1,2] {{1,3},{2},{4},{5}} => [2,1,1,1] {{1,4,5},{2,3}} => [3,2] {{1,4},{2,3,5}} => [2,3] {{1,4},{2,3},{5}} => [2,2,1] {{1,5},{2,3,4}} => [2,3] {{1},{2,3,4,5}} => [1,4] {{1},{2,3,4},{5}} => [1,3,1] {{1,5},{2,3},{4}} => [2,2,1] {{1},{2,3,5},{4}} => [1,3,1] {{1},{2,3},{4,5}} => [1,2,2] {{1},{2,3},{4},{5}} => [1,2,1,1] {{1,4,5},{2},{3}} => [3,1,1] {{1,4},{2,5},{3}} => [2,2,1] {{1,4},{2},{3,5}} => [2,1,2] {{1,4},{2},{3},{5}} => [2,1,1,1] {{1,5},{2,4},{3}} => [2,2,1] {{1},{2,4,5},{3}} => [1,3,1] {{1},{2,4},{3,5}} => [1,2,2] {{1},{2,4},{3},{5}} => [1,2,1,1] {{1,5},{2},{3,4}} => [2,1,2] {{1},{2,5},{3,4}} => [1,2,2] {{1},{2},{3,4,5}} => [1,1,3] {{1},{2},{3,4},{5}} => [1,1,2,1] {{1,5},{2},{3},{4}} => [2,1,1,1] {{1},{2,5},{3},{4}} => [1,2,1,1] {{1},{2},{3,5},{4}} => [1,1,2,1] {{1},{2},{3},{4,5}} => [1,1,1,2] {{1},{2},{3},{4},{5}} => [1,1,1,1,1] {{1,2,3,4,5,6}} => [6] {{1,2,3,4,5},{6}} => [5,1] {{1,2,3,4,6},{5}} => [5,1] {{1,2,3,4},{5,6}} => [4,2] {{1,2,3,4},{5},{6}} => [4,1,1] {{1,2,3,5,6},{4}} => [5,1] {{1,2,3,5},{4,6}} => [4,2] {{1,2,3,5},{4},{6}} => [4,1,1] {{1,2,3,6},{4,5}} => [4,2] {{1,2,3},{4,5,6}} => [3,3] {{1,2,3},{4,5},{6}} => [3,2,1] {{1,2,3,6},{4},{5}} => [4,1,1] {{1,2,3},{4,6},{5}} => [3,2,1] {{1,2,3},{4},{5,6}} => [3,1,2] {{1,2,3},{4},{5},{6}} => [3,1,1,1] {{1,2,4,5,6},{3}} => [5,1] {{1,2,4,5},{3,6}} => [4,2] {{1,2,4,5},{3},{6}} => [4,1,1] {{1,2,4,6},{3,5}} => [4,2] {{1,2,4},{3,5,6}} => [3,3] {{1,2,4},{3,5},{6}} => [3,2,1] {{1,2,4,6},{3},{5}} => [4,1,1] {{1,2,4},{3,6},{5}} => [3,2,1] {{1,2,4},{3},{5,6}} => [3,1,2] {{1,2,4},{3},{5},{6}} => [3,1,1,1] {{1,2,5,6},{3,4}} => [4,2] {{1,2,5},{3,4,6}} => [3,3] {{1,2,5},{3,4},{6}} => [3,2,1] {{1,2,6},{3,4,5}} => [3,3] {{1,2},{3,4,5,6}} => [2,4] {{1,2},{3,4,5},{6}} => [2,3,1] {{1,2,6},{3,4},{5}} => [3,2,1] {{1,2},{3,4,6},{5}} => [2,3,1] {{1,2},{3,4},{5,6}} => [2,2,2] {{1,2},{3,4},{5},{6}} => [2,2,1,1] {{1,2,5,6},{3},{4}} => [4,1,1] {{1,2,5},{3,6},{4}} => [3,2,1] {{1,2,5},{3},{4,6}} => [3,1,2] {{1,2,5},{3},{4},{6}} => [3,1,1,1] {{1,2,6},{3,5},{4}} => [3,2,1] {{1,2},{3,5,6},{4}} => [2,3,1] {{1,2},{3,5},{4,6}} => [2,2,2] {{1,2},{3,5},{4},{6}} => [2,2,1,1] {{1,2,6},{3},{4,5}} => [3,1,2] {{1,2},{3,6},{4,5}} => [2,2,2] {{1,2},{3},{4,5,6}} => [2,1,3] {{1,2},{3},{4,5},{6}} => [2,1,2,1] {{1,2,6},{3},{4},{5}} => [3,1,1,1] {{1,2},{3,6},{4},{5}} => [2,2,1,1] {{1,2},{3},{4,6},{5}} => [2,1,2,1] {{1,2},{3},{4},{5,6}} => [2,1,1,2] {{1,2},{3},{4},{5},{6}} => [2,1,1,1,1] {{1,3,4,5,6},{2}} => [5,1] {{1,3,4,5},{2,6}} => [4,2] {{1,3,4,5},{2},{6}} => [4,1,1] {{1,3,4,6},{2,5}} => [4,2] {{1,3,4},{2,5,6}} => [3,3] {{1,3,4},{2,5},{6}} => [3,2,1] {{1,3,4,6},{2},{5}} => [4,1,1] {{1,3,4},{2,6},{5}} => [3,2,1] {{1,3,4},{2},{5,6}} => [3,1,2] {{1,3,4},{2},{5},{6}} => [3,1,1,1] {{1,3,5,6},{2,4}} => [4,2] {{1,3,5},{2,4,6}} => [3,3] {{1,3,5},{2,4},{6}} => [3,2,1] {{1,3,6},{2,4,5}} => [3,3] {{1,3},{2,4,5,6}} => [2,4] {{1,3},{2,4,5},{6}} => [2,3,1] {{1,3,6},{2,4},{5}} => [3,2,1] {{1,3},{2,4,6},{5}} => [2,3,1] {{1,3},{2,4},{5,6}} => [2,2,2] {{1,3},{2,4},{5},{6}} => [2,2,1,1] {{1,3,5,6},{2},{4}} => [4,1,1] {{1,3,5},{2,6},{4}} => [3,2,1] {{1,3,5},{2},{4,6}} => [3,1,2] {{1,3,5},{2},{4},{6}} => [3,1,1,1] {{1,3,6},{2,5},{4}} => [3,2,1] {{1,3},{2,5,6},{4}} => [2,3,1] {{1,3},{2,5},{4,6}} => [2,2,2] {{1,3},{2,5},{4},{6}} => [2,2,1,1] {{1,3,6},{2},{4,5}} => [3,1,2] {{1,3},{2,6},{4,5}} => [2,2,2] {{1,3},{2},{4,5,6}} => [2,1,3] {{1,3},{2},{4,5},{6}} => [2,1,2,1] {{1,3,6},{2},{4},{5}} => [3,1,1,1] {{1,3},{2,6},{4},{5}} => [2,2,1,1] {{1,3},{2},{4,6},{5}} => [2,1,2,1] {{1,3},{2},{4},{5,6}} => [2,1,1,2] {{1,3},{2},{4},{5},{6}} => [2,1,1,1,1] {{1,4,5,6},{2,3}} => [4,2] {{1,4,5},{2,3,6}} => [3,3] {{1,4,5},{2,3},{6}} => [3,2,1] {{1,4,6},{2,3,5}} => [3,3] {{1,4},{2,3,5,6}} => [2,4] {{1,4},{2,3,5},{6}} => [2,3,1] {{1,4,6},{2,3},{5}} => [3,2,1] {{1,4},{2,3,6},{5}} => [2,3,1] {{1,4},{2,3},{5,6}} => [2,2,2] {{1,4},{2,3},{5},{6}} => [2,2,1,1] {{1,5,6},{2,3,4}} => [3,3] {{1,5},{2,3,4,6}} => [2,4] {{1,5},{2,3,4},{6}} => [2,3,1] {{1,6},{2,3,4,5}} => [2,4] {{1},{2,3,4,5,6}} => [1,5] {{1},{2,3,4,5},{6}} => [1,4,1] {{1,6},{2,3,4},{5}} => [2,3,1] {{1},{2,3,4,6},{5}} => [1,4,1] {{1},{2,3,4},{5,6}} => [1,3,2] {{1},{2,3,4},{5},{6}} => [1,3,1,1] {{1,5,6},{2,3},{4}} => [3,2,1] {{1,5},{2,3,6},{4}} => [2,3,1] {{1,5},{2,3},{4,6}} => [2,2,2] {{1,5},{2,3},{4},{6}} => [2,2,1,1] {{1,6},{2,3,5},{4}} => [2,3,1] {{1},{2,3,5,6},{4}} => [1,4,1] {{1},{2,3,5},{4,6}} => [1,3,2] {{1},{2,3,5},{4},{6}} => [1,3,1,1] {{1,6},{2,3},{4,5}} => [2,2,2] {{1},{2,3,6},{4,5}} => [1,3,2] {{1},{2,3},{4,5,6}} => [1,2,3] {{1},{2,3},{4,5},{6}} => [1,2,2,1] {{1,6},{2,3},{4},{5}} => [2,2,1,1] {{1},{2,3,6},{4},{5}} => [1,3,1,1] {{1},{2,3},{4,6},{5}} => [1,2,2,1] {{1},{2,3},{4},{5,6}} => [1,2,1,2] {{1},{2,3},{4},{5},{6}} => [1,2,1,1,1] {{1,4,5,6},{2},{3}} => [4,1,1] {{1,4,5},{2,6},{3}} => [3,2,1] {{1,4,5},{2},{3,6}} => [3,1,2] {{1,4,5},{2},{3},{6}} => [3,1,1,1] {{1,4,6},{2,5},{3}} => [3,2,1] {{1,4},{2,5,6},{3}} => [2,3,1] {{1,4},{2,5},{3,6}} => [2,2,2] {{1,4},{2,5},{3},{6}} => [2,2,1,1] {{1,4,6},{2},{3,5}} => [3,1,2] {{1,4},{2,6},{3,5}} => [2,2,2] {{1,4},{2},{3,5,6}} => [2,1,3] {{1,4},{2},{3,5},{6}} => [2,1,2,1] {{1,4,6},{2},{3},{5}} => [3,1,1,1] {{1,4},{2,6},{3},{5}} => [2,2,1,1] {{1,4},{2},{3,6},{5}} => [2,1,2,1] {{1,4},{2},{3},{5,6}} => [2,1,1,2] {{1,4},{2},{3},{5},{6}} => [2,1,1,1,1] {{1,5,6},{2,4},{3}} => [3,2,1] {{1,5},{2,4,6},{3}} => [2,3,1] {{1,5},{2,4},{3,6}} => [2,2,2] {{1,5},{2,4},{3},{6}} => [2,2,1,1] {{1,6},{2,4,5},{3}} => [2,3,1] {{1},{2,4,5,6},{3}} => [1,4,1] {{1},{2,4,5},{3,6}} => [1,3,2] {{1},{2,4,5},{3},{6}} => [1,3,1,1] {{1,6},{2,4},{3,5}} => [2,2,2] {{1},{2,4,6},{3,5}} => [1,3,2] {{1},{2,4},{3,5,6}} => [1,2,3] {{1},{2,4},{3,5},{6}} => [1,2,2,1] {{1,6},{2,4},{3},{5}} => [2,2,1,1] {{1},{2,4,6},{3},{5}} => [1,3,1,1] {{1},{2,4},{3,6},{5}} => [1,2,2,1] {{1},{2,4},{3},{5,6}} => [1,2,1,2] {{1},{2,4},{3},{5},{6}} => [1,2,1,1,1] {{1,5,6},{2},{3,4}} => [3,1,2] {{1,5},{2,6},{3,4}} => [2,2,2] {{1,5},{2},{3,4,6}} => [2,1,3] {{1,5},{2},{3,4},{6}} => [2,1,2,1] {{1,6},{2,5},{3,4}} => [2,2,2] {{1},{2,5,6},{3,4}} => [1,3,2] {{1},{2,5},{3,4,6}} => [1,2,3] {{1},{2,5},{3,4},{6}} => [1,2,2,1] {{1,6},{2},{3,4,5}} => [2,1,3] {{1},{2,6},{3,4,5}} => [1,2,3] {{1},{2},{3,4,5,6}} => [1,1,4] {{1},{2},{3,4,5},{6}} => [1,1,3,1] {{1,6},{2},{3,4},{5}} => [2,1,2,1] {{1},{2,6},{3,4},{5}} => [1,2,2,1] {{1},{2},{3,4,6},{5}} => [1,1,3,1] {{1},{2},{3,4},{5,6}} => [1,1,2,2] {{1},{2},{3,4},{5},{6}} => [1,1,2,1,1] {{1,5,6},{2},{3},{4}} => [3,1,1,1] {{1,5},{2,6},{3},{4}} => [2,2,1,1] {{1,5},{2},{3,6},{4}} => [2,1,2,1] {{1,5},{2},{3},{4,6}} => [2,1,1,2] {{1,5},{2},{3},{4},{6}} => [2,1,1,1,1] {{1,6},{2,5},{3},{4}} => [2,2,1,1] {{1},{2,5,6},{3},{4}} => [1,3,1,1] {{1},{2,5},{3,6},{4}} => [1,2,2,1] {{1},{2,5},{3},{4,6}} => [1,2,1,2] {{1},{2,5},{3},{4},{6}} => [1,2,1,1,1] {{1,6},{2},{3,5},{4}} => [2,1,2,1] {{1},{2,6},{3,5},{4}} => [1,2,2,1] {{1},{2},{3,5,6},{4}} => [1,1,3,1] {{1},{2},{3,5},{4,6}} => [1,1,2,2] {{1},{2},{3,5},{4},{6}} => [1,1,2,1,1] {{1,6},{2},{3},{4,5}} => [2,1,1,2] {{1},{2,6},{3},{4,5}} => [1,2,1,2] {{1},{2},{3,6},{4,5}} => [1,1,2,2] {{1},{2},{3},{4,5,6}} => [1,1,1,3] {{1},{2},{3},{4,5},{6}} => [1,1,1,2,1] {{1,6},{2},{3},{4},{5}} => [2,1,1,1,1] {{1},{2,6},{3},{4},{5}} => [1,2,1,1,1] {{1},{2},{3,6},{4},{5}} => [1,1,2,1,1] {{1},{2},{3},{4,6},{5}} => [1,1,1,2,1] {{1},{2},{3},{4},{5,6}} => [1,1,1,1,2] {{1},{2},{3},{4},{5},{6}} => [1,1,1,1,1,1] {{1,2,3,4,5,6,7}} => [7] {{1,2,3,4,5,6},{7}} => [6,1] {{1,2,3,4,5,7},{6}} => [6,1] {{1,2,3,4,5},{6,7}} => [5,2] {{1,2,3,4,5},{6},{7}} => [5,1,1] {{1,2,3,4,6,7},{5}} => [6,1] {{1,2,3,4,6},{5,7}} => [5,2] {{1,2,3,4,6},{5},{7}} => [5,1,1] {{1,2,3,4,7},{5,6}} => [5,2] {{1,2,3,4},{5,6,7}} => [4,3] {{1,2,3,4},{5,6},{7}} => [4,2,1] {{1,2,3,4,7},{5},{6}} => [5,1,1] {{1,2,3,4},{5,7},{6}} => [4,2,1] {{1,2,3,4},{5},{6,7}} => [4,1,2] {{1,2,3,4},{5},{6},{7}} => [4,1,1,1] {{1,2,3,5,6,7},{4}} => [6,1] {{1,2,3,5,6},{4,7}} => [5,2] {{1,2,3,5,6},{4},{7}} => [5,1,1] {{1,2,3,5,7},{4,6}} => [5,2] {{1,2,3,5},{4,6,7}} => [4,3] {{1,2,3,5},{4,6},{7}} => [4,2,1] {{1,2,3,5,7},{4},{6}} => [5,1,1] {{1,2,3,5},{4,7},{6}} => [4,2,1] {{1,2,3,5},{4},{6,7}} => [4,1,2] {{1,2,3,5},{4},{6},{7}} => [4,1,1,1] {{1,2,3,6,7},{4,5}} => [5,2] {{1,2,3,6},{4,5,7}} => [4,3] {{1,2,3,6},{4,5},{7}} => [4,2,1] {{1,2,3,7},{4,5,6}} => [4,3] {{1,2,3},{4,5,6,7}} => [3,4] {{1,2,3},{4,5,6},{7}} => [3,3,1] {{1,2,3,7},{4,5},{6}} => [4,2,1] {{1,2,3},{4,5,7},{6}} => [3,3,1] {{1,2,3},{4,5},{6,7}} => [3,2,2] {{1,2,3},{4,5},{6},{7}} => [3,2,1,1] {{1,2,3,6,7},{4},{5}} => [5,1,1] {{1,2,3,6},{4,7},{5}} => [4,2,1] {{1,2,3,6},{4},{5,7}} => [4,1,2] {{1,2,3,6},{4},{5},{7}} => [4,1,1,1] {{1,2,3,7},{4,6},{5}} => [4,2,1] {{1,2,3},{4,6,7},{5}} => [3,3,1] {{1,2,3},{4,6},{5,7}} => [3,2,2] {{1,2,3},{4,6},{5},{7}} => [3,2,1,1] {{1,2,3,7},{4},{5,6}} => [4,1,2] {{1,2,3},{4,7},{5,6}} => [3,2,2] {{1,2,3},{4},{5,6,7}} => [3,1,3] {{1,2,3},{4},{5,6},{7}} => [3,1,2,1] {{1,2,3,7},{4},{5},{6}} => [4,1,1,1] {{1,2,3},{4,7},{5},{6}} => [3,2,1,1] {{1,2,3},{4},{5,7},{6}} => [3,1,2,1] {{1,2,3},{4},{5},{6,7}} => [3,1,1,2] {{1,2,3},{4},{5},{6},{7}} => [3,1,1,1,1] {{1,2,4,5,6,7},{3}} => [6,1] {{1,2,4,5,6},{3,7}} => [5,2] {{1,2,4,5,6},{3},{7}} => [5,1,1] {{1,2,4,5,7},{3,6}} => [5,2] {{1,2,4,5},{3,6,7}} => [4,3] {{1,2,4,5},{3,6},{7}} => [4,2,1] {{1,2,4,5,7},{3},{6}} => [5,1,1] {{1,2,4,5},{3,7},{6}} => [4,2,1] {{1,2,4,5},{3},{6,7}} => [4,1,2] {{1,2,4,5},{3},{6},{7}} => [4,1,1,1] {{1,2,4,6,7},{3,5}} => [5,2] {{1,2,4,6},{3,5,7}} => [4,3] {{1,2,4,6},{3,5},{7}} => [4,2,1] {{1,2,4,7},{3,5,6}} => [4,3] {{1,2,4},{3,5,6,7}} => [3,4] {{1,2,4},{3,5,6},{7}} => [3,3,1] {{1,2,4,7},{3,5},{6}} => [4,2,1] {{1,2,4},{3,5,7},{6}} => [3,3,1] {{1,2,4},{3,5},{6,7}} => [3,2,2] {{1,2,4},{3,5},{6},{7}} => [3,2,1,1] {{1,2,4,6,7},{3},{5}} => [5,1,1] {{1,2,4,6},{3,7},{5}} => [4,2,1] {{1,2,4,6},{3},{5,7}} => [4,1,2] {{1,2,4,6},{3},{5},{7}} => [4,1,1,1] {{1,2,4,7},{3,6},{5}} => [4,2,1] {{1,2,4},{3,6,7},{5}} => [3,3,1] {{1,2,4},{3,6},{5,7}} => [3,2,2] {{1,2,4},{3,6},{5},{7}} => [3,2,1,1] {{1,2,4,7},{3},{5,6}} => [4,1,2] {{1,2,4},{3,7},{5,6}} => [3,2,2] {{1,2,4},{3},{5,6,7}} => [3,1,3] {{1,2,4},{3},{5,6},{7}} => [3,1,2,1] {{1,2,4,7},{3},{5},{6}} => [4,1,1,1] {{1,2,4},{3,7},{5},{6}} => [3,2,1,1] {{1,2,4},{3},{5,7},{6}} => [3,1,2,1] {{1,2,4},{3},{5},{6,7}} => [3,1,1,2] {{1,2,4},{3},{5},{6},{7}} => [3,1,1,1,1] {{1,2,5,6,7},{3,4}} => [5,2] {{1,2,5,6},{3,4,7}} => [4,3] {{1,2,5,6},{3,4},{7}} => [4,2,1] {{1,2,5,7},{3,4,6}} => [4,3] {{1,2,5},{3,4,6,7}} => [3,4] {{1,2,5},{3,4,6},{7}} => [3,3,1] {{1,2,5,7},{3,4},{6}} => [4,2,1] {{1,2,5},{3,4,7},{6}} => [3,3,1] {{1,2,5},{3,4},{6,7}} => [3,2,2] {{1,2,5},{3,4},{6},{7}} => [3,2,1,1] {{1,2,6,7},{3,4,5}} => [4,3] {{1,2,6},{3,4,5,7}} => [3,4] {{1,2,6},{3,4,5},{7}} => [3,3,1] {{1,2,7},{3,4,5,6}} => [3,4] {{1,2},{3,4,5,6,7}} => [2,5] {{1,2},{3,4,5,6},{7}} => [2,4,1] {{1,2,7},{3,4,5},{6}} => [3,3,1] {{1,2},{3,4,5,7},{6}} => [2,4,1] {{1,2},{3,4,5},{6,7}} => [2,3,2] {{1,2},{3,4,5},{6},{7}} => [2,3,1,1] {{1,2,6,7},{3,4},{5}} => [4,2,1] {{1,2,6},{3,4,7},{5}} => [3,3,1] {{1,2,6},{3,4},{5,7}} => [3,2,2] {{1,2,6},{3,4},{5},{7}} => [3,2,1,1] {{1,2,7},{3,4,6},{5}} => [3,3,1] {{1,2},{3,4,6,7},{5}} => [2,4,1] {{1,2},{3,4,6},{5,7}} => [2,3,2] {{1,2},{3,4,6},{5},{7}} => [2,3,1,1] {{1,2,7},{3,4},{5,6}} => [3,2,2] {{1,2},{3,4,7},{5,6}} => [2,3,2] {{1,2},{3,4},{5,6,7}} => [2,2,3] {{1,2},{3,4},{5,6},{7}} => [2,2,2,1] {{1,2,7},{3,4},{5},{6}} => [3,2,1,1] {{1,2},{3,4,7},{5},{6}} => [2,3,1,1] {{1,2},{3,4},{5,7},{6}} => [2,2,2,1] {{1,2},{3,4},{5},{6,7}} => [2,2,1,2] {{1,2},{3,4},{5},{6},{7}} => [2,2,1,1,1] {{1,2,5,6,7},{3},{4}} => [5,1,1] {{1,2,5,6},{3,7},{4}} => [4,2,1] {{1,2,5,6},{3},{4,7}} => [4,1,2] {{1,2,5,6},{3},{4},{7}} => [4,1,1,1] {{1,2,5,7},{3,6},{4}} => [4,2,1] {{1,2,5},{3,6,7},{4}} => [3,3,1] {{1,2,5},{3,6},{4,7}} => [3,2,2] {{1,2,5},{3,6},{4},{7}} => [3,2,1,1] {{1,2,5,7},{3},{4,6}} => [4,1,2] {{1,2,5},{3,7},{4,6}} => [3,2,2] {{1,2,5},{3},{4,6,7}} => [3,1,3] {{1,2,5},{3},{4,6},{7}} => [3,1,2,1] {{1,2,5,7},{3},{4},{6}} => [4,1,1,1] {{1,2,5},{3,7},{4},{6}} => [3,2,1,1] {{1,2,5},{3},{4,7},{6}} => [3,1,2,1] {{1,2,5},{3},{4},{6,7}} => [3,1,1,2] {{1,2,5},{3},{4},{6},{7}} => [3,1,1,1,1] {{1,2,6,7},{3,5},{4}} => [4,2,1] {{1,2,6},{3,5,7},{4}} => [3,3,1] {{1,2,6},{3,5},{4,7}} => [3,2,2] {{1,2,6},{3,5},{4},{7}} => [3,2,1,1] {{1,2,7},{3,5,6},{4}} => [3,3,1] {{1,2},{3,5,6,7},{4}} => [2,4,1] {{1,2},{3,5,6},{4,7}} => [2,3,2] {{1,2},{3,5,6},{4},{7}} => [2,3,1,1] {{1,2,7},{3,5},{4,6}} => [3,2,2] {{1,2},{3,5,7},{4,6}} => [2,3,2] {{1,2},{3,5},{4,6,7}} => [2,2,3] {{1,2},{3,5},{4,6},{7}} => [2,2,2,1] {{1,2,7},{3,5},{4},{6}} => [3,2,1,1] {{1,2},{3,5,7},{4},{6}} => [2,3,1,1] {{1,2},{3,5},{4,7},{6}} => [2,2,2,1] {{1,2},{3,5},{4},{6,7}} => [2,2,1,2] {{1,2},{3,5},{4},{6},{7}} => [2,2,1,1,1] {{1,2,6,7},{3},{4,5}} => [4,1,2] {{1,2,6},{3,7},{4,5}} => [3,2,2] {{1,2,6},{3},{4,5,7}} => [3,1,3] {{1,2,6},{3},{4,5},{7}} => [3,1,2,1] {{1,2,7},{3,6},{4,5}} => [3,2,2] {{1,2},{3,6,7},{4,5}} => [2,3,2] {{1,2},{3,6},{4,5,7}} => [2,2,3] {{1,2},{3,6},{4,5},{7}} => [2,2,2,1] {{1,2,7},{3},{4,5,6}} => [3,1,3] {{1,2},{3,7},{4,5,6}} => [2,2,3] {{1,2},{3},{4,5,6,7}} => [2,1,4] {{1,2},{3},{4,5,6},{7}} => [2,1,3,1] {{1,2,7},{3},{4,5},{6}} => [3,1,2,1] {{1,2},{3,7},{4,5},{6}} => [2,2,2,1] {{1,2},{3},{4,5,7},{6}} => [2,1,3,1] {{1,2},{3},{4,5},{6,7}} => [2,1,2,2] {{1,2},{3},{4,5},{6},{7}} => [2,1,2,1,1] {{1,2,6,7},{3},{4},{5}} => [4,1,1,1] {{1,2,6},{3,7},{4},{5}} => [3,2,1,1] {{1,2,6},{3},{4,7},{5}} => [3,1,2,1] {{1,2,6},{3},{4},{5,7}} => [3,1,1,2] {{1,2,6},{3},{4},{5},{7}} => [3,1,1,1,1] {{1,2,7},{3,6},{4},{5}} => [3,2,1,1] {{1,2},{3,6,7},{4},{5}} => [2,3,1,1] {{1,2},{3,6},{4,7},{5}} => [2,2,2,1] {{1,2},{3,6},{4},{5,7}} => [2,2,1,2] {{1,2},{3,6},{4},{5},{7}} => [2,2,1,1,1] {{1,2,7},{3},{4,6},{5}} => [3,1,2,1] {{1,2},{3,7},{4,6},{5}} => [2,2,2,1] {{1,2},{3},{4,6,7},{5}} => [2,1,3,1] {{1,2},{3},{4,6},{5,7}} => [2,1,2,2] {{1,2},{3},{4,6},{5},{7}} => [2,1,2,1,1] {{1,2,7},{3},{4},{5,6}} => [3,1,1,2] {{1,2},{3,7},{4},{5,6}} => [2,2,1,2] {{1,2},{3},{4,7},{5,6}} => [2,1,2,2] {{1,2},{3},{4},{5,6,7}} => [2,1,1,3] {{1,2},{3},{4},{5,6},{7}} => [2,1,1,2,1] {{1,2,7},{3},{4},{5},{6}} => [3,1,1,1,1] {{1,2},{3,7},{4},{5},{6}} => [2,2,1,1,1] {{1,2},{3},{4,7},{5},{6}} => [2,1,2,1,1] {{1,2},{3},{4},{5,7},{6}} => [2,1,1,2,1] {{1,2},{3},{4},{5},{6,7}} => [2,1,1,1,2] {{1,2},{3},{4},{5},{6},{7}} => [2,1,1,1,1,1] {{1,3,4,5,6,7},{2}} => [6,1] {{1,3,4,5,6},{2,7}} => [5,2] {{1,3,4,5,6},{2},{7}} => [5,1,1] {{1,3,4,5,7},{2,6}} => [5,2] {{1,3,4,5},{2,6,7}} => [4,3] {{1,3,4,5},{2,6},{7}} => [4,2,1] {{1,3,4,5,7},{2},{6}} => [5,1,1] {{1,3,4,5},{2,7},{6}} => [4,2,1] {{1,3,4,5},{2},{6,7}} => [4,1,2] {{1,3,4,5},{2},{6},{7}} => [4,1,1,1] {{1,3,4,6,7},{2,5}} => [5,2] {{1,3,4,6},{2,5,7}} => [4,3] {{1,3,4,6},{2,5},{7}} => [4,2,1] {{1,3,4,7},{2,5,6}} => [4,3] {{1,3,4},{2,5,6,7}} => [3,4] {{1,3,4},{2,5,6},{7}} => [3,3,1] {{1,3,4,7},{2,5},{6}} => [4,2,1] {{1,3,4},{2,5,7},{6}} => [3,3,1] {{1,3,4},{2,5},{6,7}} => [3,2,2] {{1,3,4},{2,5},{6},{7}} => [3,2,1,1] {{1,3,4,6,7},{2},{5}} => [5,1,1] {{1,3,4,6},{2,7},{5}} => [4,2,1] {{1,3,4,6},{2},{5,7}} => [4,1,2] {{1,3,4,6},{2},{5},{7}} => [4,1,1,1] {{1,3,4,7},{2,6},{5}} => [4,2,1] {{1,3,4},{2,6,7},{5}} => [3,3,1] {{1,3,4},{2,6},{5,7}} => [3,2,2] {{1,3,4},{2,6},{5},{7}} => [3,2,1,1] {{1,3,4,7},{2},{5,6}} => [4,1,2] {{1,3,4},{2,7},{5,6}} => [3,2,2] {{1,3,4},{2},{5,6,7}} => [3,1,3] {{1,3,4},{2},{5,6},{7}} => [3,1,2,1] {{1,3,4,7},{2},{5},{6}} => [4,1,1,1] {{1,3,4},{2,7},{5},{6}} => [3,2,1,1] {{1,3,4},{2},{5,7},{6}} => [3,1,2,1] {{1,3,4},{2},{5},{6,7}} => [3,1,1,2] {{1,3,4},{2},{5},{6},{7}} => [3,1,1,1,1] {{1,3,5,6,7},{2,4}} => [5,2] {{1,3,5,6},{2,4,7}} => [4,3] {{1,3,5,6},{2,4},{7}} => [4,2,1] {{1,3,5,7},{2,4,6}} => [4,3] {{1,3,5},{2,4,6,7}} => [3,4] {{1,3,5},{2,4,6},{7}} => [3,3,1] {{1,3,5,7},{2,4},{6}} => [4,2,1] {{1,3,5},{2,4,7},{6}} => [3,3,1] {{1,3,5},{2,4},{6,7}} => [3,2,2] {{1,3,5},{2,4},{6},{7}} => [3,2,1,1] {{1,3,6,7},{2,4,5}} => [4,3] {{1,3,6},{2,4,5,7}} => [3,4] {{1,3,6},{2,4,5},{7}} => [3,3,1] {{1,3,7},{2,4,5,6}} => [3,4] {{1,3},{2,4,5,6,7}} => [2,5] {{1,3},{2,4,5,6},{7}} => [2,4,1] {{1,3,7},{2,4,5},{6}} => [3,3,1] {{1,3},{2,4,5,7},{6}} => [2,4,1] {{1,3},{2,4,5},{6,7}} => [2,3,2] {{1,3},{2,4,5},{6},{7}} => [2,3,1,1] {{1,3,6,7},{2,4},{5}} => [4,2,1] {{1,3,6},{2,4,7},{5}} => [3,3,1] {{1,3,6},{2,4},{5,7}} => [3,2,2] {{1,3,6},{2,4},{5},{7}} => [3,2,1,1] {{1,3,7},{2,4,6},{5}} => [3,3,1] {{1,3},{2,4,6,7},{5}} => [2,4,1] {{1,3},{2,4,6},{5,7}} => [2,3,2] {{1,3},{2,4,6},{5},{7}} => [2,3,1,1] {{1,3,7},{2,4},{5,6}} => [3,2,2] {{1,3},{2,4,7},{5,6}} => [2,3,2] {{1,3},{2,4},{5,6,7}} => [2,2,3] {{1,3},{2,4},{5,6},{7}} => [2,2,2,1] {{1,3,7},{2,4},{5},{6}} => [3,2,1,1] {{1,3},{2,4,7},{5},{6}} => [2,3,1,1] {{1,3},{2,4},{5,7},{6}} => [2,2,2,1] {{1,3},{2,4},{5},{6,7}} => [2,2,1,2] {{1,3},{2,4},{5},{6},{7}} => [2,2,1,1,1] {{1,3,5,6,7},{2},{4}} => [5,1,1] {{1,3,5,6},{2,7},{4}} => [4,2,1] {{1,3,5,6},{2},{4,7}} => [4,1,2] {{1,3,5,6},{2},{4},{7}} => [4,1,1,1] {{1,3,5,7},{2,6},{4}} => [4,2,1] {{1,3,5},{2,6,7},{4}} => [3,3,1] {{1,3,5},{2,6},{4,7}} => [3,2,2] {{1,3,5},{2,6},{4},{7}} => [3,2,1,1] {{1,3,5,7},{2},{4,6}} => [4,1,2] {{1,3,5},{2,7},{4,6}} => [3,2,2] {{1,3,5},{2},{4,6,7}} => [3,1,3] {{1,3,5},{2},{4,6},{7}} => [3,1,2,1] {{1,3,5,7},{2},{4},{6}} => [4,1,1,1] {{1,3,5},{2,7},{4},{6}} => [3,2,1,1] {{1,3,5},{2},{4,7},{6}} => [3,1,2,1] {{1,3,5},{2},{4},{6,7}} => [3,1,1,2] {{1,3,5},{2},{4},{6},{7}} => [3,1,1,1,1] {{1,3,6,7},{2,5},{4}} => [4,2,1] {{1,3,6},{2,5,7},{4}} => [3,3,1] {{1,3,6},{2,5},{4,7}} => [3,2,2] {{1,3,6},{2,5},{4},{7}} => [3,2,1,1] {{1,3,7},{2,5,6},{4}} => [3,3,1] {{1,3},{2,5,6,7},{4}} => [2,4,1] {{1,3},{2,5,6},{4,7}} => [2,3,2] {{1,3},{2,5,6},{4},{7}} => [2,3,1,1] {{1,3,7},{2,5},{4,6}} => [3,2,2] {{1,3},{2,5,7},{4,6}} => [2,3,2] {{1,3},{2,5},{4,6,7}} => [2,2,3] {{1,3},{2,5},{4,6},{7}} => [2,2,2,1] {{1,3,7},{2,5},{4},{6}} => [3,2,1,1] {{1,3},{2,5,7},{4},{6}} => [2,3,1,1] {{1,3},{2,5},{4,7},{6}} => [2,2,2,1] {{1,3},{2,5},{4},{6,7}} => [2,2,1,2] {{1,3},{2,5},{4},{6},{7}} => [2,2,1,1,1] {{1,3,6,7},{2},{4,5}} => [4,1,2] {{1,3,6},{2,7},{4,5}} => [3,2,2] {{1,3,6},{2},{4,5,7}} => [3,1,3] {{1,3,6},{2},{4,5},{7}} => [3,1,2,1] {{1,3,7},{2,6},{4,5}} => [3,2,2] {{1,3},{2,6,7},{4,5}} => [2,3,2] {{1,3},{2,6},{4,5,7}} => [2,2,3] {{1,3},{2,6},{4,5},{7}} => [2,2,2,1] {{1,3,7},{2},{4,5,6}} => [3,1,3] {{1,3},{2,7},{4,5,6}} => [2,2,3] {{1,3},{2},{4,5,6,7}} => [2,1,4] {{1,3},{2},{4,5,6},{7}} => [2,1,3,1] {{1,3,7},{2},{4,5},{6}} => [3,1,2,1] {{1,3},{2,7},{4,5},{6}} => [2,2,2,1] {{1,3},{2},{4,5,7},{6}} => [2,1,3,1] {{1,3},{2},{4,5},{6,7}} => [2,1,2,2] {{1,3},{2},{4,5},{6},{7}} => [2,1,2,1,1] {{1,3,6,7},{2},{4},{5}} => [4,1,1,1] {{1,3,6},{2,7},{4},{5}} => [3,2,1,1] {{1,3,6},{2},{4,7},{5}} => [3,1,2,1] {{1,3,6},{2},{4},{5,7}} => [3,1,1,2] {{1,3,6},{2},{4},{5},{7}} => [3,1,1,1,1] {{1,3,7},{2,6},{4},{5}} => [3,2,1,1] {{1,3},{2,6,7},{4},{5}} => [2,3,1,1] {{1,3},{2,6},{4,7},{5}} => [2,2,2,1] {{1,3},{2,6},{4},{5,7}} => [2,2,1,2] {{1,3},{2,6},{4},{5},{7}} => [2,2,1,1,1] {{1,3,7},{2},{4,6},{5}} => [3,1,2,1] {{1,3},{2,7},{4,6},{5}} => [2,2,2,1] {{1,3},{2},{4,6,7},{5}} => [2,1,3,1] {{1,3},{2},{4,6},{5,7}} => [2,1,2,2] {{1,3},{2},{4,6},{5},{7}} => [2,1,2,1,1] {{1,3,7},{2},{4},{5,6}} => [3,1,1,2] {{1,3},{2,7},{4},{5,6}} => [2,2,1,2] {{1,3},{2},{4,7},{5,6}} => [2,1,2,2] {{1,3},{2},{4},{5,6,7}} => [2,1,1,3] {{1,3},{2},{4},{5,6},{7}} => [2,1,1,2,1] {{1,3,7},{2},{4},{5},{6}} => [3,1,1,1,1] {{1,3},{2,7},{4},{5},{6}} => [2,2,1,1,1] {{1,3},{2},{4,7},{5},{6}} => [2,1,2,1,1] {{1,3},{2},{4},{5,7},{6}} => [2,1,1,2,1] {{1,3},{2},{4},{5},{6,7}} => [2,1,1,1,2] {{1,3},{2},{4},{5},{6},{7}} => [2,1,1,1,1,1] {{1,4,5,6,7},{2,3}} => [5,2] {{1,4,5,6},{2,3,7}} => [4,3] {{1,4,5,6},{2,3},{7}} => [4,2,1] {{1,4,5,7},{2,3,6}} => [4,3] {{1,4,5},{2,3,6,7}} => [3,4] {{1,4,5},{2,3,6},{7}} => [3,3,1] {{1,4,5,7},{2,3},{6}} => [4,2,1] {{1,4,5},{2,3,7},{6}} => [3,3,1] {{1,4,5},{2,3},{6,7}} => [3,2,2] {{1,4,5},{2,3},{6},{7}} => [3,2,1,1] {{1,4,6,7},{2,3,5}} => [4,3] {{1,4,6},{2,3,5,7}} => [3,4] {{1,4,6},{2,3,5},{7}} => [3,3,1] {{1,4,7},{2,3,5,6}} => [3,4] {{1,4},{2,3,5,6,7}} => [2,5] {{1,4},{2,3,5,6},{7}} => [2,4,1] {{1,4,7},{2,3,5},{6}} => [3,3,1] {{1,4},{2,3,5,7},{6}} => [2,4,1] {{1,4},{2,3,5},{6,7}} => [2,3,2] {{1,4},{2,3,5},{6},{7}} => [2,3,1,1] {{1,4,6,7},{2,3},{5}} => [4,2,1] {{1,4,6},{2,3,7},{5}} => [3,3,1] {{1,4,6},{2,3},{5,7}} => [3,2,2] {{1,4,6},{2,3},{5},{7}} => [3,2,1,1] {{1,4,7},{2,3,6},{5}} => [3,3,1] {{1,4},{2,3,6,7},{5}} => [2,4,1] {{1,4},{2,3,6},{5,7}} => [2,3,2] {{1,4},{2,3,6},{5},{7}} => [2,3,1,1] {{1,4,7},{2,3},{5,6}} => [3,2,2] {{1,4},{2,3,7},{5,6}} => [2,3,2] {{1,4},{2,3},{5,6,7}} => [2,2,3] {{1,4},{2,3},{5,6},{7}} => [2,2,2,1] {{1,4,7},{2,3},{5},{6}} => [3,2,1,1] {{1,4},{2,3,7},{5},{6}} => [2,3,1,1] {{1,4},{2,3},{5,7},{6}} => [2,2,2,1] {{1,4},{2,3},{5},{6,7}} => [2,2,1,2] {{1,4},{2,3},{5},{6},{7}} => [2,2,1,1,1] {{1,5,6,7},{2,3,4}} => [4,3] {{1,5,6},{2,3,4,7}} => [3,4] {{1,5,6},{2,3,4},{7}} => [3,3,1] {{1,5,7},{2,3,4,6}} => [3,4] {{1,5},{2,3,4,6,7}} => [2,5] {{1,5},{2,3,4,6},{7}} => [2,4,1] {{1,5,7},{2,3,4},{6}} => [3,3,1] {{1,5},{2,3,4,7},{6}} => [2,4,1] {{1,5},{2,3,4},{6,7}} => [2,3,2] {{1,5},{2,3,4},{6},{7}} => [2,3,1,1] {{1,6,7},{2,3,4,5}} => [3,4] {{1,6},{2,3,4,5,7}} => [2,5] {{1,6},{2,3,4,5},{7}} => [2,4,1] {{1,7},{2,3,4,5,6}} => [2,5] {{1},{2,3,4,5,6,7}} => [1,6] {{1},{2,3,4,5,6},{7}} => [1,5,1] {{1,7},{2,3,4,5},{6}} => [2,4,1] {{1},{2,3,4,5,7},{6}} => [1,5,1] {{1},{2,3,4,5},{6,7}} => [1,4,2] {{1},{2,3,4,5},{6},{7}} => [1,4,1,1] {{1,6,7},{2,3,4},{5}} => [3,3,1] {{1,6},{2,3,4,7},{5}} => [2,4,1] {{1,6},{2,3,4},{5,7}} => [2,3,2] {{1,6},{2,3,4},{5},{7}} => [2,3,1,1] {{1,7},{2,3,4,6},{5}} => [2,4,1] {{1},{2,3,4,6,7},{5}} => [1,5,1] {{1},{2,3,4,6},{5,7}} => [1,4,2] {{1},{2,3,4,6},{5},{7}} => [1,4,1,1] {{1,7},{2,3,4},{5,6}} => [2,3,2] {{1},{2,3,4,7},{5,6}} => [1,4,2] {{1},{2,3,4},{5,6,7}} => [1,3,3] {{1},{2,3,4},{5,6},{7}} => [1,3,2,1] {{1,7},{2,3,4},{5},{6}} => [2,3,1,1] {{1},{2,3,4,7},{5},{6}} => [1,4,1,1] {{1},{2,3,4},{5,7},{6}} => [1,3,2,1] {{1},{2,3,4},{5},{6,7}} => [1,3,1,2] {{1},{2,3,4},{5},{6},{7}} => [1,3,1,1,1] {{1,5,6,7},{2,3},{4}} => [4,2,1] {{1,5,6},{2,3,7},{4}} => [3,3,1] {{1,5,6},{2,3},{4,7}} => [3,2,2] {{1,5,6},{2,3},{4},{7}} => [3,2,1,1] {{1,5,7},{2,3,6},{4}} => [3,3,1] {{1,5},{2,3,6,7},{4}} => [2,4,1] {{1,5},{2,3,6},{4,7}} => [2,3,2] {{1,5},{2,3,6},{4},{7}} => [2,3,1,1] {{1,5,7},{2,3},{4,6}} => [3,2,2] {{1,5},{2,3,7},{4,6}} => [2,3,2] {{1,5},{2,3},{4,6,7}} => [2,2,3] {{1,5},{2,3},{4,6},{7}} => [2,2,2,1] {{1,5,7},{2,3},{4},{6}} => [3,2,1,1] {{1,5},{2,3,7},{4},{6}} => [2,3,1,1] {{1,5},{2,3},{4,7},{6}} => [2,2,2,1] {{1,5},{2,3},{4},{6,7}} => [2,2,1,2] {{1,5},{2,3},{4},{6},{7}} => [2,2,1,1,1] {{1,6,7},{2,3,5},{4}} => [3,3,1] {{1,6},{2,3,5,7},{4}} => [2,4,1] {{1,6},{2,3,5},{4,7}} => [2,3,2] {{1,6},{2,3,5},{4},{7}} => [2,3,1,1] {{1,7},{2,3,5,6},{4}} => [2,4,1] {{1},{2,3,5,6,7},{4}} => [1,5,1] {{1},{2,3,5,6},{4,7}} => [1,4,2] {{1},{2,3,5,6},{4},{7}} => [1,4,1,1] {{1,7},{2,3,5},{4,6}} => [2,3,2] {{1},{2,3,5,7},{4,6}} => [1,4,2] {{1},{2,3,5},{4,6,7}} => [1,3,3] {{1},{2,3,5},{4,6},{7}} => [1,3,2,1] {{1,7},{2,3,5},{4},{6}} => [2,3,1,1] {{1},{2,3,5,7},{4},{6}} => [1,4,1,1] {{1},{2,3,5},{4,7},{6}} => [1,3,2,1] {{1},{2,3,5},{4},{6,7}} => [1,3,1,2] {{1},{2,3,5},{4},{6},{7}} => [1,3,1,1,1] {{1,6,7},{2,3},{4,5}} => [3,2,2] {{1,6},{2,3,7},{4,5}} => [2,3,2] {{1,6},{2,3},{4,5,7}} => [2,2,3] {{1,6},{2,3},{4,5},{7}} => [2,2,2,1] {{1,7},{2,3,6},{4,5}} => [2,3,2] {{1},{2,3,6,7},{4,5}} => [1,4,2] {{1},{2,3,6},{4,5,7}} => [1,3,3] {{1},{2,3,6},{4,5},{7}} => [1,3,2,1] {{1,7},{2,3},{4,5,6}} => [2,2,3] {{1},{2,3,7},{4,5,6}} => [1,3,3] {{1},{2,3},{4,5,6,7}} => [1,2,4] {{1},{2,3},{4,5,6},{7}} => [1,2,3,1] {{1,7},{2,3},{4,5},{6}} => [2,2,2,1] {{1},{2,3,7},{4,5},{6}} => [1,3,2,1] {{1},{2,3},{4,5,7},{6}} => [1,2,3,1] {{1},{2,3},{4,5},{6,7}} => [1,2,2,2] {{1},{2,3},{4,5},{6},{7}} => [1,2,2,1,1] {{1,6,7},{2,3},{4},{5}} => [3,2,1,1] {{1,6},{2,3,7},{4},{5}} => [2,3,1,1] {{1,6},{2,3},{4,7},{5}} => [2,2,2,1] {{1,6},{2,3},{4},{5,7}} => [2,2,1,2] {{1,6},{2,3},{4},{5},{7}} => [2,2,1,1,1] {{1,7},{2,3,6},{4},{5}} => [2,3,1,1] {{1},{2,3,6,7},{4},{5}} => [1,4,1,1] {{1},{2,3,6},{4,7},{5}} => [1,3,2,1] {{1},{2,3,6},{4},{5,7}} => [1,3,1,2] {{1},{2,3,6},{4},{5},{7}} => [1,3,1,1,1] {{1,7},{2,3},{4,6},{5}} => [2,2,2,1] {{1},{2,3,7},{4,6},{5}} => [1,3,2,1] {{1},{2,3},{4,6,7},{5}} => [1,2,3,1] {{1},{2,3},{4,6},{5,7}} => [1,2,2,2] {{1},{2,3},{4,6},{5},{7}} => [1,2,2,1,1] {{1,7},{2,3},{4},{5,6}} => [2,2,1,2] {{1},{2,3,7},{4},{5,6}} => [1,3,1,2] {{1},{2,3},{4,7},{5,6}} => [1,2,2,2] {{1},{2,3},{4},{5,6,7}} => [1,2,1,3] {{1},{2,3},{4},{5,6},{7}} => [1,2,1,2,1] {{1,7},{2,3},{4},{5},{6}} => [2,2,1,1,1] {{1},{2,3,7},{4},{5},{6}} => [1,3,1,1,1] {{1},{2,3},{4,7},{5},{6}} => [1,2,2,1,1] {{1},{2,3},{4},{5,7},{6}} => [1,2,1,2,1] {{1},{2,3},{4},{5},{6,7}} => [1,2,1,1,2] {{1},{2,3},{4},{5},{6},{7}} => [1,2,1,1,1,1] {{1,4,5,6,7},{2},{3}} => [5,1,1] {{1,4,5,6},{2,7},{3}} => [4,2,1] {{1,4,5,6},{2},{3,7}} => [4,1,2] {{1,4,5,6},{2},{3},{7}} => [4,1,1,1] {{1,4,5,7},{2,6},{3}} => [4,2,1] {{1,4,5},{2,6,7},{3}} => [3,3,1] {{1,4,5},{2,6},{3,7}} => [3,2,2] {{1,4,5},{2,6},{3},{7}} => [3,2,1,1] {{1,4,5,7},{2},{3,6}} => [4,1,2] {{1,4,5},{2,7},{3,6}} => [3,2,2] {{1,4,5},{2},{3,6,7}} => [3,1,3] {{1,4,5},{2},{3,6},{7}} => [3,1,2,1] {{1,4,5,7},{2},{3},{6}} => [4,1,1,1] {{1,4,5},{2,7},{3},{6}} => [3,2,1,1] {{1,4,5},{2},{3,7},{6}} => [3,1,2,1] {{1,4,5},{2},{3},{6,7}} => [3,1,1,2] {{1,4,5},{2},{3},{6},{7}} => [3,1,1,1,1] {{1,4,6,7},{2,5},{3}} => [4,2,1] {{1,4,6},{2,5,7},{3}} => [3,3,1] {{1,4,6},{2,5},{3,7}} => [3,2,2] {{1,4,6},{2,5},{3},{7}} => [3,2,1,1] {{1,4,7},{2,5,6},{3}} => [3,3,1] {{1,4},{2,5,6,7},{3}} => [2,4,1] {{1,4},{2,5,6},{3,7}} => [2,3,2] {{1,4},{2,5,6},{3},{7}} => [2,3,1,1] {{1,4,7},{2,5},{3,6}} => [3,2,2] {{1,4},{2,5,7},{3,6}} => [2,3,2] {{1,4},{2,5},{3,6,7}} => [2,2,3] {{1,4},{2,5},{3,6},{7}} => [2,2,2,1] {{1,4,7},{2,5},{3},{6}} => [3,2,1,1] {{1,4},{2,5,7},{3},{6}} => [2,3,1,1] {{1,4},{2,5},{3,7},{6}} => [2,2,2,1] {{1,4},{2,5},{3},{6,7}} => [2,2,1,2] {{1,4},{2,5},{3},{6},{7}} => [2,2,1,1,1] {{1,4,6,7},{2},{3,5}} => [4,1,2] {{1,4,6},{2,7},{3,5}} => [3,2,2] {{1,4,6},{2},{3,5,7}} => [3,1,3] {{1,4,6},{2},{3,5},{7}} => [3,1,2,1] {{1,4,7},{2,6},{3,5}} => [3,2,2] {{1,4},{2,6,7},{3,5}} => [2,3,2] {{1,4},{2,6},{3,5,7}} => [2,2,3] {{1,4},{2,6},{3,5},{7}} => [2,2,2,1] {{1,4,7},{2},{3,5,6}} => [3,1,3] {{1,4},{2,7},{3,5,6}} => [2,2,3] {{1,4},{2},{3,5,6,7}} => [2,1,4] {{1,4},{2},{3,5,6},{7}} => [2,1,3,1] {{1,4,7},{2},{3,5},{6}} => [3,1,2,1] {{1,4},{2,7},{3,5},{6}} => [2,2,2,1] {{1,4},{2},{3,5,7},{6}} => [2,1,3,1] {{1,4},{2},{3,5},{6,7}} => [2,1,2,2] {{1,4},{2},{3,5},{6},{7}} => [2,1,2,1,1] {{1,4,6,7},{2},{3},{5}} => [4,1,1,1] {{1,4,6},{2,7},{3},{5}} => [3,2,1,1] {{1,4,6},{2},{3,7},{5}} => [3,1,2,1] {{1,4,6},{2},{3},{5,7}} => [3,1,1,2] {{1,4,6},{2},{3},{5},{7}} => [3,1,1,1,1] {{1,4,7},{2,6},{3},{5}} => [3,2,1,1] {{1,4},{2,6,7},{3},{5}} => [2,3,1,1] {{1,4},{2,6},{3,7},{5}} => [2,2,2,1] {{1,4},{2,6},{3},{5,7}} => [2,2,1,2] {{1,4},{2,6},{3},{5},{7}} => [2,2,1,1,1] {{1,4,7},{2},{3,6},{5}} => [3,1,2,1] {{1,4},{2,7},{3,6},{5}} => [2,2,2,1] {{1,4},{2},{3,6,7},{5}} => [2,1,3,1] {{1,4},{2},{3,6},{5,7}} => [2,1,2,2] {{1,4},{2},{3,6},{5},{7}} => [2,1,2,1,1] {{1,4,7},{2},{3},{5,6}} => [3,1,1,2] {{1,4},{2,7},{3},{5,6}} => [2,2,1,2] {{1,4},{2},{3,7},{5,6}} => [2,1,2,2] {{1,4},{2},{3},{5,6,7}} => [2,1,1,3] {{1,4},{2},{3},{5,6},{7}} => [2,1,1,2,1] {{1,4,7},{2},{3},{5},{6}} => [3,1,1,1,1] {{1,4},{2,7},{3},{5},{6}} => [2,2,1,1,1] {{1,4},{2},{3,7},{5},{6}} => [2,1,2,1,1] {{1,4},{2},{3},{5,7},{6}} => [2,1,1,2,1] {{1,4},{2},{3},{5},{6,7}} => [2,1,1,1,2] {{1,4},{2},{3},{5},{6},{7}} => [2,1,1,1,1,1] {{1,5,6,7},{2,4},{3}} => [4,2,1] {{1,5,6},{2,4,7},{3}} => [3,3,1] {{1,5,6},{2,4},{3,7}} => [3,2,2] {{1,5,6},{2,4},{3},{7}} => [3,2,1,1] {{1,5,7},{2,4,6},{3}} => [3,3,1] {{1,5},{2,4,6,7},{3}} => [2,4,1] {{1,5},{2,4,6},{3,7}} => [2,3,2] {{1,5},{2,4,6},{3},{7}} => [2,3,1,1] {{1,5,7},{2,4},{3,6}} => [3,2,2] {{1,5},{2,4,7},{3,6}} => [2,3,2] {{1,5},{2,4},{3,6,7}} => [2,2,3] {{1,5},{2,4},{3,6},{7}} => [2,2,2,1] {{1,5,7},{2,4},{3},{6}} => [3,2,1,1] {{1,5},{2,4,7},{3},{6}} => [2,3,1,1] {{1,5},{2,4},{3,7},{6}} => [2,2,2,1] {{1,5},{2,4},{3},{6,7}} => [2,2,1,2] {{1,5},{2,4},{3},{6},{7}} => [2,2,1,1,1] {{1,6,7},{2,4,5},{3}} => [3,3,1] {{1,6},{2,4,5,7},{3}} => [2,4,1] {{1,6},{2,4,5},{3,7}} => [2,3,2] {{1,6},{2,4,5},{3},{7}} => [2,3,1,1] {{1,7},{2,4,5,6},{3}} => [2,4,1] {{1},{2,4,5,6,7},{3}} => [1,5,1] {{1},{2,4,5,6},{3,7}} => [1,4,2] {{1},{2,4,5,6},{3},{7}} => [1,4,1,1] {{1,7},{2,4,5},{3,6}} => [2,3,2] {{1},{2,4,5,7},{3,6}} => [1,4,2] {{1},{2,4,5},{3,6,7}} => [1,3,3] {{1},{2,4,5},{3,6},{7}} => [1,3,2,1] {{1,7},{2,4,5},{3},{6}} => [2,3,1,1] {{1},{2,4,5,7},{3},{6}} => [1,4,1,1] {{1},{2,4,5},{3,7},{6}} => [1,3,2,1] {{1},{2,4,5},{3},{6,7}} => [1,3,1,2] {{1},{2,4,5},{3},{6},{7}} => [1,3,1,1,1] {{1,6,7},{2,4},{3,5}} => [3,2,2] {{1,6},{2,4,7},{3,5}} => [2,3,2] {{1,6},{2,4},{3,5,7}} => [2,2,3] {{1,6},{2,4},{3,5},{7}} => [2,2,2,1] {{1,7},{2,4,6},{3,5}} => [2,3,2] {{1},{2,4,6,7},{3,5}} => [1,4,2] {{1},{2,4,6},{3,5,7}} => [1,3,3] {{1},{2,4,6},{3,5},{7}} => [1,3,2,1] {{1,7},{2,4},{3,5,6}} => [2,2,3] {{1},{2,4,7},{3,5,6}} => [1,3,3] {{1},{2,4},{3,5,6,7}} => [1,2,4] {{1},{2,4},{3,5,6},{7}} => [1,2,3,1] {{1,7},{2,4},{3,5},{6}} => [2,2,2,1] {{1},{2,4,7},{3,5},{6}} => [1,3,2,1] {{1},{2,4},{3,5,7},{6}} => [1,2,3,1] {{1},{2,4},{3,5},{6,7}} => [1,2,2,2] {{1},{2,4},{3,5},{6},{7}} => [1,2,2,1,1] {{1,6,7},{2,4},{3},{5}} => [3,2,1,1] {{1,6},{2,4,7},{3},{5}} => [2,3,1,1] {{1,6},{2,4},{3,7},{5}} => [2,2,2,1] {{1,6},{2,4},{3},{5,7}} => [2,2,1,2] {{1,6},{2,4},{3},{5},{7}} => [2,2,1,1,1] {{1,7},{2,4,6},{3},{5}} => [2,3,1,1] {{1},{2,4,6,7},{3},{5}} => [1,4,1,1] {{1},{2,4,6},{3,7},{5}} => [1,3,2,1] {{1},{2,4,6},{3},{5,7}} => [1,3,1,2] {{1},{2,4,6},{3},{5},{7}} => [1,3,1,1,1] {{1,7},{2,4},{3,6},{5}} => [2,2,2,1] {{1},{2,4,7},{3,6},{5}} => [1,3,2,1] {{1},{2,4},{3,6,7},{5}} => [1,2,3,1] {{1},{2,4},{3,6},{5,7}} => [1,2,2,2] {{1},{2,4},{3,6},{5},{7}} => [1,2,2,1,1] {{1,7},{2,4},{3},{5,6}} => [2,2,1,2] {{1},{2,4,7},{3},{5,6}} => [1,3,1,2] {{1},{2,4},{3,7},{5,6}} => [1,2,2,2] {{1},{2,4},{3},{5,6,7}} => [1,2,1,3] {{1},{2,4},{3},{5,6},{7}} => [1,2,1,2,1] {{1,7},{2,4},{3},{5},{6}} => [2,2,1,1,1] {{1},{2,4,7},{3},{5},{6}} => [1,3,1,1,1] {{1},{2,4},{3,7},{5},{6}} => [1,2,2,1,1] {{1},{2,4},{3},{5,7},{6}} => [1,2,1,2,1] {{1},{2,4},{3},{5},{6,7}} => [1,2,1,1,2] {{1},{2,4},{3},{5},{6},{7}} => [1,2,1,1,1,1] {{1,5,6,7},{2},{3,4}} => [4,1,2] {{1,5,6},{2,7},{3,4}} => [3,2,2] {{1,5,6},{2},{3,4,7}} => [3,1,3] {{1,5,6},{2},{3,4},{7}} => [3,1,2,1] {{1,5,7},{2,6},{3,4}} => [3,2,2] {{1,5},{2,6,7},{3,4}} => [2,3,2] {{1,5},{2,6},{3,4,7}} => [2,2,3] {{1,5},{2,6},{3,4},{7}} => [2,2,2,1] {{1,5,7},{2},{3,4,6}} => [3,1,3] {{1,5},{2,7},{3,4,6}} => [2,2,3] {{1,5},{2},{3,4,6,7}} => [2,1,4] {{1,5},{2},{3,4,6},{7}} => [2,1,3,1] {{1,5,7},{2},{3,4},{6}} => [3,1,2,1] {{1,5},{2,7},{3,4},{6}} => [2,2,2,1] {{1,5},{2},{3,4,7},{6}} => [2,1,3,1] {{1,5},{2},{3,4},{6,7}} => [2,1,2,2] {{1,5},{2},{3,4},{6},{7}} => [2,1,2,1,1] {{1,6,7},{2,5},{3,4}} => [3,2,2] {{1,6},{2,5,7},{3,4}} => [2,3,2] {{1,6},{2,5},{3,4,7}} => [2,2,3] {{1,6},{2,5},{3,4},{7}} => [2,2,2,1] {{1,7},{2,5,6},{3,4}} => [2,3,2] {{1},{2,5,6,7},{3,4}} => [1,4,2] {{1},{2,5,6},{3,4,7}} => [1,3,3] {{1},{2,5,6},{3,4},{7}} => [1,3,2,1] {{1,7},{2,5},{3,4,6}} => [2,2,3] {{1},{2,5,7},{3,4,6}} => [1,3,3] {{1},{2,5},{3,4,6,7}} => [1,2,4] {{1},{2,5},{3,4,6},{7}} => [1,2,3,1] {{1,7},{2,5},{3,4},{6}} => [2,2,2,1] {{1},{2,5,7},{3,4},{6}} => [1,3,2,1] {{1},{2,5},{3,4,7},{6}} => [1,2,3,1] {{1},{2,5},{3,4},{6,7}} => [1,2,2,2] {{1},{2,5},{3,4},{6},{7}} => [1,2,2,1,1] {{1,6,7},{2},{3,4,5}} => [3,1,3] {{1,6},{2,7},{3,4,5}} => [2,2,3] {{1,6},{2},{3,4,5,7}} => [2,1,4] {{1,6},{2},{3,4,5},{7}} => [2,1,3,1] {{1,7},{2,6},{3,4,5}} => [2,2,3] {{1},{2,6,7},{3,4,5}} => [1,3,3] {{1},{2,6},{3,4,5,7}} => [1,2,4] {{1},{2,6},{3,4,5},{7}} => [1,2,3,1] {{1,7},{2},{3,4,5,6}} => [2,1,4] {{1},{2,7},{3,4,5,6}} => [1,2,4] {{1},{2},{3,4,5,6,7}} => [1,1,5] {{1},{2},{3,4,5,6},{7}} => [1,1,4,1] {{1,7},{2},{3,4,5},{6}} => [2,1,3,1] {{1},{2,7},{3,4,5},{6}} => [1,2,3,1] {{1},{2},{3,4,5,7},{6}} => [1,1,4,1] {{1},{2},{3,4,5},{6,7}} => [1,1,3,2] {{1},{2},{3,4,5},{6},{7}} => [1,1,3,1,1] {{1,6,7},{2},{3,4},{5}} => [3,1,2,1] {{1,6},{2,7},{3,4},{5}} => [2,2,2,1] {{1,6},{2},{3,4,7},{5}} => [2,1,3,1] {{1,6},{2},{3,4},{5,7}} => [2,1,2,2] {{1,6},{2},{3,4},{5},{7}} => [2,1,2,1,1] {{1,7},{2,6},{3,4},{5}} => [2,2,2,1] {{1},{2,6,7},{3,4},{5}} => [1,3,2,1] {{1},{2,6},{3,4,7},{5}} => [1,2,3,1] {{1},{2,6},{3,4},{5,7}} => [1,2,2,2] {{1},{2,6},{3,4},{5},{7}} => [1,2,2,1,1] {{1,7},{2},{3,4,6},{5}} => [2,1,3,1] {{1},{2,7},{3,4,6},{5}} => [1,2,3,1] {{1},{2},{3,4,6,7},{5}} => [1,1,4,1] {{1},{2},{3,4,6},{5,7}} => [1,1,3,2] {{1},{2},{3,4,6},{5},{7}} => [1,1,3,1,1] {{1,7},{2},{3,4},{5,6}} => [2,1,2,2] {{1},{2,7},{3,4},{5,6}} => [1,2,2,2] {{1},{2},{3,4,7},{5,6}} => [1,1,3,2] {{1},{2},{3,4},{5,6,7}} => [1,1,2,3] {{1},{2},{3,4},{5,6},{7}} => [1,1,2,2,1] {{1,7},{2},{3,4},{5},{6}} => [2,1,2,1,1] {{1},{2,7},{3,4},{5},{6}} => [1,2,2,1,1] {{1},{2},{3,4,7},{5},{6}} => [1,1,3,1,1] {{1},{2},{3,4},{5,7},{6}} => [1,1,2,2,1] {{1},{2},{3,4},{5},{6,7}} => [1,1,2,1,2] {{1},{2},{3,4},{5},{6},{7}} => [1,1,2,1,1,1] {{1,5,6,7},{2},{3},{4}} => [4,1,1,1] {{1,5,6},{2,7},{3},{4}} => [3,2,1,1] {{1,5,6},{2},{3,7},{4}} => [3,1,2,1] {{1,5,6},{2},{3},{4,7}} => [3,1,1,2] {{1,5,6},{2},{3},{4},{7}} => [3,1,1,1,1] {{1,5,7},{2,6},{3},{4}} => [3,2,1,1] {{1,5},{2,6,7},{3},{4}} => [2,3,1,1] {{1,5},{2,6},{3,7},{4}} => [2,2,2,1] {{1,5},{2,6},{3},{4,7}} => [2,2,1,2] {{1,5},{2,6},{3},{4},{7}} => [2,2,1,1,1] {{1,5,7},{2},{3,6},{4}} => [3,1,2,1] {{1,5},{2,7},{3,6},{4}} => [2,2,2,1] {{1,5},{2},{3,6,7},{4}} => [2,1,3,1] {{1,5},{2},{3,6},{4,7}} => [2,1,2,2] {{1,5},{2},{3,6},{4},{7}} => [2,1,2,1,1] {{1,5,7},{2},{3},{4,6}} => [3,1,1,2] {{1,5},{2,7},{3},{4,6}} => [2,2,1,2] {{1,5},{2},{3,7},{4,6}} => [2,1,2,2] {{1,5},{2},{3},{4,6,7}} => [2,1,1,3] {{1,5},{2},{3},{4,6},{7}} => [2,1,1,2,1] {{1,5,7},{2},{3},{4},{6}} => [3,1,1,1,1] {{1,5},{2,7},{3},{4},{6}} => [2,2,1,1,1] {{1,5},{2},{3,7},{4},{6}} => [2,1,2,1,1] {{1,5},{2},{3},{4,7},{6}} => [2,1,1,2,1] {{1,5},{2},{3},{4},{6,7}} => [2,1,1,1,2] {{1,5},{2},{3},{4},{6},{7}} => [2,1,1,1,1,1] {{1,6,7},{2,5},{3},{4}} => [3,2,1,1] {{1,6},{2,5,7},{3},{4}} => [2,3,1,1] {{1,6},{2,5},{3,7},{4}} => [2,2,2,1] {{1,6},{2,5},{3},{4,7}} => [2,2,1,2] {{1,6},{2,5},{3},{4},{7}} => [2,2,1,1,1] {{1,7},{2,5,6},{3},{4}} => [2,3,1,1] {{1},{2,5,6,7},{3},{4}} => [1,4,1,1] {{1},{2,5,6},{3,7},{4}} => [1,3,2,1] {{1},{2,5,6},{3},{4,7}} => [1,3,1,2] {{1},{2,5,6},{3},{4},{7}} => [1,3,1,1,1] {{1,7},{2,5},{3,6},{4}} => [2,2,2,1] {{1},{2,5,7},{3,6},{4}} => [1,3,2,1] {{1},{2,5},{3,6,7},{4}} => [1,2,3,1] {{1},{2,5},{3,6},{4,7}} => [1,2,2,2] {{1},{2,5},{3,6},{4},{7}} => [1,2,2,1,1] {{1,7},{2,5},{3},{4,6}} => [2,2,1,2] {{1},{2,5,7},{3},{4,6}} => [1,3,1,2] {{1},{2,5},{3,7},{4,6}} => [1,2,2,2] {{1},{2,5},{3},{4,6,7}} => [1,2,1,3] {{1},{2,5},{3},{4,6},{7}} => [1,2,1,2,1] {{1,7},{2,5},{3},{4},{6}} => [2,2,1,1,1] {{1},{2,5,7},{3},{4},{6}} => [1,3,1,1,1] {{1},{2,5},{3,7},{4},{6}} => [1,2,2,1,1] {{1},{2,5},{3},{4,7},{6}} => [1,2,1,2,1] {{1},{2,5},{3},{4},{6,7}} => [1,2,1,1,2] {{1},{2,5},{3},{4},{6},{7}} => [1,2,1,1,1,1] {{1,6,7},{2},{3,5},{4}} => [3,1,2,1] {{1,6},{2,7},{3,5},{4}} => [2,2,2,1] {{1,6},{2},{3,5,7},{4}} => [2,1,3,1] {{1,6},{2},{3,5},{4,7}} => [2,1,2,2] {{1,6},{2},{3,5},{4},{7}} => [2,1,2,1,1] {{1,7},{2,6},{3,5},{4}} => [2,2,2,1] {{1},{2,6,7},{3,5},{4}} => [1,3,2,1] {{1},{2,6},{3,5,7},{4}} => [1,2,3,1] {{1},{2,6},{3,5},{4,7}} => [1,2,2,2] {{1},{2,6},{3,5},{4},{7}} => [1,2,2,1,1] {{1,7},{2},{3,5,6},{4}} => [2,1,3,1] {{1},{2,7},{3,5,6},{4}} => [1,2,3,1] {{1},{2},{3,5,6,7},{4}} => [1,1,4,1] {{1},{2},{3,5,6},{4,7}} => [1,1,3,2] {{1},{2},{3,5,6},{4},{7}} => [1,1,3,1,1] {{1,7},{2},{3,5},{4,6}} => [2,1,2,2] {{1},{2,7},{3,5},{4,6}} => [1,2,2,2] {{1},{2},{3,5,7},{4,6}} => [1,1,3,2] {{1},{2},{3,5},{4,6,7}} => [1,1,2,3] {{1},{2},{3,5},{4,6},{7}} => [1,1,2,2,1] {{1,7},{2},{3,5},{4},{6}} => [2,1,2,1,1] {{1},{2,7},{3,5},{4},{6}} => [1,2,2,1,1] {{1},{2},{3,5,7},{4},{6}} => [1,1,3,1,1] {{1},{2},{3,5},{4,7},{6}} => [1,1,2,2,1] {{1},{2},{3,5},{4},{6,7}} => [1,1,2,1,2] {{1},{2},{3,5},{4},{6},{7}} => [1,1,2,1,1,1] {{1,6,7},{2},{3},{4,5}} => [3,1,1,2] {{1,6},{2,7},{3},{4,5}} => [2,2,1,2] {{1,6},{2},{3,7},{4,5}} => [2,1,2,2] {{1,6},{2},{3},{4,5,7}} => [2,1,1,3] {{1,6},{2},{3},{4,5},{7}} => [2,1,1,2,1] {{1,7},{2,6},{3},{4,5}} => [2,2,1,2] {{1},{2,6,7},{3},{4,5}} => [1,3,1,2] {{1},{2,6},{3,7},{4,5}} => [1,2,2,2] {{1},{2,6},{3},{4,5,7}} => [1,2,1,3] {{1},{2,6},{3},{4,5},{7}} => [1,2,1,2,1] {{1,7},{2},{3,6},{4,5}} => [2,1,2,2] {{1},{2,7},{3,6},{4,5}} => [1,2,2,2] {{1},{2},{3,6,7},{4,5}} => [1,1,3,2] {{1},{2},{3,6},{4,5,7}} => [1,1,2,3] {{1},{2},{3,6},{4,5},{7}} => [1,1,2,2,1] {{1,7},{2},{3},{4,5,6}} => [2,1,1,3] {{1},{2,7},{3},{4,5,6}} => [1,2,1,3] {{1},{2},{3,7},{4,5,6}} => [1,1,2,3] {{1},{2},{3},{4,5,6,7}} => [1,1,1,4] {{1},{2},{3},{4,5,6},{7}} => [1,1,1,3,1] {{1,7},{2},{3},{4,5},{6}} => [2,1,1,2,1] {{1},{2,7},{3},{4,5},{6}} => [1,2,1,2,1] {{1},{2},{3,7},{4,5},{6}} => [1,1,2,2,1] {{1},{2},{3},{4,5,7},{6}} => [1,1,1,3,1] {{1},{2},{3},{4,5},{6,7}} => [1,1,1,2,2] {{1},{2},{3},{4,5},{6},{7}} => [1,1,1,2,1,1] {{1,6,7},{2},{3},{4},{5}} => [3,1,1,1,1] {{1,6},{2,7},{3},{4},{5}} => [2,2,1,1,1] {{1,6},{2},{3,7},{4},{5}} => [2,1,2,1,1] {{1,6},{2},{3},{4,7},{5}} => [2,1,1,2,1] {{1,6},{2},{3},{4},{5,7}} => [2,1,1,1,2] {{1,6},{2},{3},{4},{5},{7}} => [2,1,1,1,1,1] {{1,7},{2,6},{3},{4},{5}} => [2,2,1,1,1] {{1},{2,6,7},{3},{4},{5}} => [1,3,1,1,1] {{1},{2,6},{3,7},{4},{5}} => [1,2,2,1,1] {{1},{2,6},{3},{4,7},{5}} => [1,2,1,2,1] {{1},{2,6},{3},{4},{5,7}} => [1,2,1,1,2] {{1},{2,6},{3},{4},{5},{7}} => [1,2,1,1,1,1] {{1,7},{2},{3,6},{4},{5}} => [2,1,2,1,1] {{1},{2,7},{3,6},{4},{5}} => [1,2,2,1,1] {{1},{2},{3,6,7},{4},{5}} => [1,1,3,1,1] {{1},{2},{3,6},{4,7},{5}} => [1,1,2,2,1] {{1},{2},{3,6},{4},{5,7}} => [1,1,2,1,2] {{1},{2},{3,6},{4},{5},{7}} => [1,1,2,1,1,1] {{1,7},{2},{3},{4,6},{5}} => [2,1,1,2,1] {{1},{2,7},{3},{4,6},{5}} => [1,2,1,2,1] {{1},{2},{3,7},{4,6},{5}} => [1,1,2,2,1] {{1},{2},{3},{4,6,7},{5}} => [1,1,1,3,1] {{1},{2},{3},{4,6},{5,7}} => [1,1,1,2,2] {{1},{2},{3},{4,6},{5},{7}} => [1,1,1,2,1,1] {{1,7},{2},{3},{4},{5,6}} => [2,1,1,1,2] {{1},{2,7},{3},{4},{5,6}} => [1,2,1,1,2] {{1},{2},{3,7},{4},{5,6}} => [1,1,2,1,2] {{1},{2},{3},{4,7},{5,6}} => [1,1,1,2,2] {{1},{2},{3},{4},{5,6,7}} => [1,1,1,1,3] {{1},{2},{3},{4},{5,6},{7}} => [1,1,1,1,2,1] {{1,7},{2},{3},{4},{5},{6}} => [2,1,1,1,1,1] {{1},{2,7},{3},{4},{5},{6}} => [1,2,1,1,1,1] {{1},{2},{3,7},{4},{5},{6}} => [1,1,2,1,1,1] {{1},{2},{3},{4,7},{5},{6}} => [1,1,1,2,1,1] {{1},{2},{3},{4},{5,7},{6}} => [1,1,1,1,2,1] {{1},{2},{3},{4},{5},{6,7}} => [1,1,1,1,1,2] {{1},{2},{3},{4},{5},{6},{7}} => [1,1,1,1,1,1,1] {{1,2},{3,4},{5,6},{7,8}} => [2,2,2,2] {{1,3},{2,4},{5,6},{7,8}} => [2,2,2,2] {{1,4},{2,3},{5,6},{7,8}} => [2,2,2,2] {{1,5},{2,3},{4,6},{7,8}} => [2,2,2,2] {{1,6},{2,3},{4,5},{7,8}} => [2,2,2,2] {{1,7},{2,3},{4,5},{6,8}} => [2,2,2,2] {{1,8},{2,3},{4,5},{6,7}} => [2,2,2,2] {{1,8},{2,4},{3,5},{6,7}} => [2,2,2,2] {{1,7},{2,4},{3,5},{6,8}} => [2,2,2,2] {{1,6},{2,4},{3,5},{7,8}} => [2,2,2,2] {{1,5},{2,4},{3,6},{7,8}} => [2,2,2,2] {{1,4},{2,5},{3,6},{7,8}} => [2,2,2,2] {{1,3},{2,5},{4,6},{7,8}} => [2,2,2,2] {{1,2},{3,5},{4,6},{7,8}} => [2,2,2,2] {{1,2},{3,6},{4,5},{7,8}} => [2,2,2,2] {{1,3},{2,6},{4,5},{7,8}} => [2,2,2,2] {{1,4},{2,6},{3,5},{7,8}} => [2,2,2,2] {{1,5},{2,6},{3,4},{7,8}} => [2,2,2,2] {{1,6},{2,5},{3,4},{7,8}} => [2,2,2,2] {{1,7},{2,5},{3,4},{6,8}} => [2,2,2,2] {{1,8},{2,5},{3,4},{6,7}} => [2,2,2,2] {{1,8},{2,6},{3,4},{5,7}} => [2,2,2,2] {{1,7},{2,6},{3,4},{5,8}} => [2,2,2,2] {{1,6},{2,7},{3,4},{5,8}} => [2,2,2,2] {{1,5},{2,7},{3,4},{6,8}} => [2,2,2,2] {{1,4},{2,7},{3,5},{6,8}} => [2,2,2,2] {{1,3},{2,7},{4,5},{6,8}} => [2,2,2,2] {{1,2},{3,7},{4,5},{6,8}} => [2,2,2,2] {{1,2},{3,8},{4,5},{6,7}} => [2,2,2,2] {{1,3},{2,8},{4,5},{6,7}} => [2,2,2,2] {{1,4},{2,8},{3,5},{6,7}} => [2,2,2,2] {{1,5},{2,8},{3,4},{6,7}} => [2,2,2,2] {{1,6},{2,8},{3,4},{5,7}} => [2,2,2,2] {{1,7},{2,8},{3,4},{5,6}} => [2,2,2,2] {{1,8},{2,7},{3,4},{5,6}} => [2,2,2,2] {{1,8},{2,7},{3,5},{4,6}} => [2,2,2,2] {{1,7},{2,8},{3,5},{4,6}} => [2,2,2,2] {{1,6},{2,8},{3,5},{4,7}} => [2,2,2,2] {{1,5},{2,8},{3,6},{4,7}} => [2,2,2,2] {{1,4},{2,8},{3,6},{5,7}} => [2,2,2,2] {{1,3},{2,8},{4,6},{5,7}} => [2,2,2,2] {{1,2},{3,8},{4,6},{5,7}} => [2,2,2,2] {{1,2},{3,7},{4,6},{5,8}} => [2,2,2,2] {{1,3},{2,7},{4,6},{5,8}} => [2,2,2,2] {{1,4},{2,7},{3,6},{5,8}} => [2,2,2,2] ----------------------------------------------------------------------------- Created: Jan 29, 2020 at 13:27 by FindStatCrew ----------------------------------------------------------------------------- Last Updated: Jan 29, 2020 at 13:27 by Martin Rubey