************************************************************************ * 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: Mp00217 ------------------------------------------------------------------------ Map name: Wachs-White-rho ------------------------------------------------------------------------ Domain: Set partitions ------------------------------------------------------------------------ Codomain: Set partitions ------------------------------------------------------------------------ Description: A transformation of set partitions due to Wachs and White. Return the set partition of $\{1,...,n\}$ corresponding to the set of arcs, interpreted as a rook placement, applying Wachs and White's bijection $\rho$. Note that our index convention differs from the convention in [1]: regarding the rook board as a lower-right triangular grid, we refer with $(i,j)$ to the cell in the $i$-th column from the right and the $j$-th row from the top. ------------------------------------------------------------------------ References: [1] Wachs, M., White, D. $p,q$-Stirling numbers and set partition statistics [[MathSciNet:1082841]] ------------------------------------------------------------------------ Code: def mapping(p): return SetPartitions(p.size()).from_rook_placement(p.to_rook_placement("arcs"), "rho") ------------------------------------------------------------------------ Map images: {{1}} => {{1}} {{1,2}} => {{1,2}} {{1},{2}} => {{1},{2}} {{1,2,3}} => {{1,2,3}} {{1,2},{3}} => {{1,2},{3}} {{1,3},{2}} => {{1,3},{2}} {{1},{2,3}} => {{1},{2,3}} {{1},{2},{3}} => {{1},{2},{3}} {{1,2,3,4}} => {{1,2,3,4}} {{1,2,3},{4}} => {{1,2,3},{4}} {{1,2,4},{3}} => {{1,2,4},{3}} {{1,2},{3,4}} => {{1,2},{3,4}} {{1,2},{3},{4}} => {{1,2},{3},{4}} {{1,3,4},{2}} => {{1,3,4},{2}} {{1,3},{2,4}} => {{1,4},{2,3}} {{1,3},{2},{4}} => {{1,3},{2},{4}} {{1,4},{2,3}} => {{1,3},{2,4}} {{1},{2,3,4}} => {{1},{2,3,4}} {{1},{2,3},{4}} => {{1},{2,3},{4}} {{1,4},{2},{3}} => {{1,4},{2},{3}} {{1},{2,4},{3}} => {{1},{2,4},{3}} {{1},{2},{3,4}} => {{1},{2},{3,4}} {{1},{2},{3},{4}} => {{1},{2},{3},{4}} {{1,2,3,4,5}} => {{1,2,3,4,5}} {{1,2,3,4},{5}} => {{1,2,3,4},{5}} {{1,2,3,5},{4}} => {{1,2,3,5},{4}} {{1,2,3},{4,5}} => {{1,2,3},{4,5}} {{1,2,3},{4},{5}} => {{1,2,3},{4},{5}} {{1,2,4,5},{3}} => {{1,2,4,5},{3}} {{1,2,4},{3,5}} => {{1,2,5},{3,4}} {{1,2,4},{3},{5}} => {{1,2,4},{3},{5}} {{1,2,5},{3,4}} => {{1,2,4},{3,5}} {{1,2},{3,4,5}} => {{1,2},{3,4,5}} {{1,2},{3,4},{5}} => {{1,2},{3,4},{5}} {{1,2,5},{3},{4}} => {{1,2,5},{3},{4}} {{1,2},{3,5},{4}} => {{1,2},{3,5},{4}} {{1,2},{3},{4,5}} => {{1,2},{3},{4,5}} {{1,2},{3},{4},{5}} => {{1,2},{3},{4},{5}} {{1,3,4,5},{2}} => {{1,3,4,5},{2}} {{1,3,4},{2,5}} => {{1,4},{2,3,5}} {{1,3,4},{2},{5}} => {{1,3,4},{2},{5}} {{1,3,5},{2,4}} => {{1,5},{2,3,4}} {{1,3},{2,4,5}} => {{1,4,5},{2,3}} {{1,3},{2,4},{5}} => {{1,4},{2,3},{5}} {{1,3,5},{2},{4}} => {{1,3,5},{2},{4}} {{1,3},{2,5},{4}} => {{1,5},{2,3},{4}} {{1,3},{2},{4,5}} => {{1,3},{2},{4,5}} {{1,3},{2},{4},{5}} => {{1,3},{2},{4},{5}} {{1,4,5},{2,3}} => {{1,3},{2,4,5}} {{1,4},{2,3,5}} => {{1,3,5},{2,4}} {{1,4},{2,3},{5}} => {{1,3},{2,4},{5}} {{1,5},{2,3,4}} => {{1,3,4},{2,5}} {{1},{2,3,4,5}} => {{1},{2,3,4,5}} {{1},{2,3,4},{5}} => {{1},{2,3,4},{5}} {{1,5},{2,3},{4}} => {{1,3},{2,5},{4}} {{1},{2,3,5},{4}} => {{1},{2,3,5},{4}} {{1},{2,3},{4,5}} => {{1},{2,3},{4,5}} {{1},{2,3},{4},{5}} => {{1},{2,3},{4},{5}} {{1,4,5},{2},{3}} => {{1,4,5},{2},{3}} {{1,4},{2,5},{3}} => {{1,5},{2,4},{3}} {{1,4},{2},{3,5}} => {{1,5},{2},{3,4}} {{1,4},{2},{3},{5}} => {{1,4},{2},{3},{5}} {{1,5},{2,4},{3}} => {{1,4},{2,5},{3}} {{1},{2,4,5},{3}} => {{1},{2,4,5},{3}} {{1},{2,4},{3,5}} => {{1},{2,5},{3,4}} {{1},{2,4},{3},{5}} => {{1},{2,4},{3},{5}} {{1,5},{2},{3,4}} => {{1,4},{2},{3,5}} {{1},{2,5},{3,4}} => {{1},{2,4},{3,5}} {{1},{2},{3,4,5}} => {{1},{2},{3,4,5}} {{1},{2},{3,4},{5}} => {{1},{2},{3,4},{5}} {{1,5},{2},{3},{4}} => {{1,5},{2},{3},{4}} {{1},{2,5},{3},{4}} => {{1},{2,5},{3},{4}} {{1},{2},{3,5},{4}} => {{1},{2},{3,5},{4}} {{1},{2},{3},{4,5}} => {{1},{2},{3},{4,5}} {{1},{2},{3},{4},{5}} => {{1},{2},{3},{4},{5}} {{1,2,3,4,5,6}} => {{1,2,3,4,5,6}} {{1,2,3,4,5},{6}} => {{1,2,3,4,5},{6}} {{1,2,3,4,6},{5}} => {{1,2,3,4,6},{5}} {{1,2,3,4},{5,6}} => {{1,2,3,4},{5,6}} {{1,2,3,4},{5},{6}} => {{1,2,3,4},{5},{6}} {{1,2,3,5,6},{4}} => {{1,2,3,5,6},{4}} {{1,2,3,5},{4,6}} => {{1,2,3,6},{4,5}} {{1,2,3,5},{4},{6}} => {{1,2,3,5},{4},{6}} {{1,2,3,6},{4,5}} => {{1,2,3,5},{4,6}} {{1,2,3},{4,5,6}} => {{1,2,3},{4,5,6}} {{1,2,3},{4,5},{6}} => {{1,2,3},{4,5},{6}} {{1,2,3,6},{4},{5}} => {{1,2,3,6},{4},{5}} {{1,2,3},{4,6},{5}} => {{1,2,3},{4,6},{5}} {{1,2,3},{4},{5,6}} => {{1,2,3},{4},{5,6}} {{1,2,3},{4},{5},{6}} => {{1,2,3},{4},{5},{6}} {{1,2,4,5,6},{3}} => {{1,2,4,5,6},{3}} {{1,2,4,5},{3,6}} => {{1,2,5},{3,4,6}} {{1,2,4,5},{3},{6}} => {{1,2,4,5},{3},{6}} {{1,2,4,6},{3,5}} => {{1,2,6},{3,4,5}} {{1,2,4},{3,5,6}} => {{1,2,5,6},{3,4}} {{1,2,4},{3,5},{6}} => {{1,2,5},{3,4},{6}} {{1,2,4,6},{3},{5}} => {{1,2,4,6},{3},{5}} {{1,2,4},{3,6},{5}} => {{1,2,6},{3,4},{5}} {{1,2,4},{3},{5,6}} => {{1,2,4},{3},{5,6}} {{1,2,4},{3},{5},{6}} => {{1,2,4},{3},{5},{6}} {{1,2,5,6},{3,4}} => {{1,2,4},{3,5,6}} {{1,2,5},{3,4,6}} => {{1,2,4,6},{3,5}} {{1,2,5},{3,4},{6}} => {{1,2,4},{3,5},{6}} {{1,2,6},{3,4,5}} => {{1,2,4,5},{3,6}} {{1,2},{3,4,5,6}} => {{1,2},{3,4,5,6}} {{1,2},{3,4,5},{6}} => {{1,2},{3,4,5},{6}} {{1,2,6},{3,4},{5}} => {{1,2,4},{3,6},{5}} {{1,2},{3,4,6},{5}} => {{1,2},{3,4,6},{5}} {{1,2},{3,4},{5,6}} => {{1,2},{3,4},{5,6}} {{1,2},{3,4},{5},{6}} => {{1,2},{3,4},{5},{6}} {{1,2,5,6},{3},{4}} => {{1,2,5,6},{3},{4}} {{1,2,5},{3,6},{4}} => {{1,2,6},{3,5},{4}} {{1,2,5},{3},{4,6}} => {{1,2,6},{3},{4,5}} {{1,2,5},{3},{4},{6}} => {{1,2,5},{3},{4},{6}} {{1,2,6},{3,5},{4}} => {{1,2,5},{3,6},{4}} {{1,2},{3,5,6},{4}} => {{1,2},{3,5,6},{4}} {{1,2},{3,5},{4,6}} => {{1,2},{3,6},{4,5}} {{1,2},{3,5},{4},{6}} => {{1,2},{3,5},{4},{6}} {{1,2,6},{3},{4,5}} => {{1,2,5},{3},{4,6}} {{1,2},{3,6},{4,5}} => {{1,2},{3,5},{4,6}} {{1,2},{3},{4,5,6}} => {{1,2},{3},{4,5,6}} {{1,2},{3},{4,5},{6}} => {{1,2},{3},{4,5},{6}} {{1,2,6},{3},{4},{5}} => {{1,2,6},{3},{4},{5}} {{1,2},{3,6},{4},{5}} => {{1,2},{3,6},{4},{5}} {{1,2},{3},{4,6},{5}} => {{1,2},{3},{4,6},{5}} {{1,2},{3},{4},{5,6}} => {{1,2},{3},{4},{5,6}} {{1,2},{3},{4},{5},{6}} => {{1,2},{3},{4},{5},{6}} {{1,3,4,5,6},{2}} => {{1,3,4,5,6},{2}} {{1,3,4,5},{2,6}} => {{1,4,5},{2,3,6}} {{1,3,4,5},{2},{6}} => {{1,3,4,5},{2},{6}} {{1,3,4,6},{2,5}} => {{1,4,6},{2,3,5}} {{1,3,4},{2,5,6}} => {{1,4},{2,3,5,6}} {{1,3,4},{2,5},{6}} => {{1,4},{2,3,5},{6}} {{1,3,4,6},{2},{5}} => {{1,3,4,6},{2},{5}} {{1,3,4},{2,6},{5}} => {{1,4},{2,3,6},{5}} {{1,3,4},{2},{5,6}} => {{1,3,4},{2},{5,6}} {{1,3,4},{2},{5},{6}} => {{1,3,4},{2},{5},{6}} {{1,3,5,6},{2,4}} => {{1,5,6},{2,3,4}} {{1,3,5},{2,4,6}} => {{1,6},{2,3,4,5}} {{1,3,5},{2,4},{6}} => {{1,5},{2,3,4},{6}} {{1,3,6},{2,4,5}} => {{1,5},{2,3,4,6}} {{1,3},{2,4,5,6}} => {{1,4,5,6},{2,3}} {{1,3},{2,4,5},{6}} => {{1,4,5},{2,3},{6}} {{1,3,6},{2,4},{5}} => {{1,6},{2,3,4},{5}} {{1,3},{2,4,6},{5}} => {{1,4,6},{2,3},{5}} {{1,3},{2,4},{5,6}} => {{1,4},{2,3},{5,6}} {{1,3},{2,4},{5},{6}} => {{1,4},{2,3},{5},{6}} {{1,3,5,6},{2},{4}} => {{1,3,5,6},{2},{4}} {{1,3,5},{2,6},{4}} => {{1,5},{2,3,6},{4}} {{1,3,5},{2},{4,6}} => {{1,3,6},{2},{4,5}} {{1,3,5},{2},{4},{6}} => {{1,3,5},{2},{4},{6}} {{1,3,6},{2,5},{4}} => {{1,6},{2,3,5},{4}} {{1,3},{2,5,6},{4}} => {{1,5,6},{2,3},{4}} {{1,3},{2,5},{4,6}} => {{1,6},{2,3},{4,5}} {{1,3},{2,5},{4},{6}} => {{1,5},{2,3},{4},{6}} {{1,3,6},{2},{4,5}} => {{1,3,5},{2},{4,6}} {{1,3},{2,6},{4,5}} => {{1,5},{2,3},{4,6}} {{1,3},{2},{4,5,6}} => {{1,3},{2},{4,5,6}} {{1,3},{2},{4,5},{6}} => {{1,3},{2},{4,5},{6}} {{1,3,6},{2},{4},{5}} => {{1,3,6},{2},{4},{5}} {{1,3},{2,6},{4},{5}} => {{1,6},{2,3},{4},{5}} {{1,3},{2},{4,6},{5}} => {{1,3},{2},{4,6},{5}} {{1,3},{2},{4},{5,6}} => {{1,3},{2},{4},{5,6}} {{1,3},{2},{4},{5},{6}} => {{1,3},{2},{4},{5},{6}} {{1,4,5,6},{2,3}} => {{1,3},{2,4,5,6}} {{1,4,5},{2,3,6}} => {{1,3,5},{2,4,6}} {{1,4,5},{2,3},{6}} => {{1,3},{2,4,5},{6}} {{1,4,6},{2,3,5}} => {{1,3,6},{2,4,5}} {{1,4},{2,3,5,6}} => {{1,3,5,6},{2,4}} {{1,4},{2,3,5},{6}} => {{1,3,5},{2,4},{6}} {{1,4,6},{2,3},{5}} => {{1,3},{2,4,6},{5}} {{1,4},{2,3,6},{5}} => {{1,3,6},{2,4},{5}} {{1,4},{2,3},{5,6}} => {{1,3},{2,4},{5,6}} {{1,4},{2,3},{5},{6}} => {{1,3},{2,4},{5},{6}} {{1,5,6},{2,3,4}} => {{1,3,4},{2,5,6}} {{1,5},{2,3,4,6}} => {{1,3,4,6},{2,5}} {{1,5},{2,3,4},{6}} => {{1,3,4},{2,5},{6}} {{1,6},{2,3,4,5}} => {{1,3,4,5},{2,6}} {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}} {{1},{2,3,4,5},{6}} => {{1},{2,3,4,5},{6}} {{1,6},{2,3,4},{5}} => {{1,3,4},{2,6},{5}} {{1},{2,3,4,6},{5}} => {{1},{2,3,4,6},{5}} {{1},{2,3,4},{5,6}} => {{1},{2,3,4},{5,6}} {{1},{2,3,4},{5},{6}} => {{1},{2,3,4},{5},{6}} {{1,5,6},{2,3},{4}} => {{1,3},{2,5,6},{4}} {{1,5},{2,3,6},{4}} => {{1,3,6},{2,5},{4}} {{1,5},{2,3},{4,6}} => {{1,3},{2,6},{4,5}} {{1,5},{2,3},{4},{6}} => {{1,3},{2,5},{4},{6}} {{1,6},{2,3,5},{4}} => {{1,3,5},{2,6},{4}} {{1},{2,3,5,6},{4}} => {{1},{2,3,5,6},{4}} {{1},{2,3,5},{4,6}} => {{1},{2,3,6},{4,5}} {{1},{2,3,5},{4},{6}} => {{1},{2,3,5},{4},{6}} {{1,6},{2,3},{4,5}} => {{1,3},{2,5},{4,6}} {{1},{2,3,6},{4,5}} => {{1},{2,3,5},{4,6}} {{1},{2,3},{4,5,6}} => {{1},{2,3},{4,5,6}} {{1},{2,3},{4,5},{6}} => {{1},{2,3},{4,5},{6}} {{1,6},{2,3},{4},{5}} => {{1,3},{2,6},{4},{5}} {{1},{2,3,6},{4},{5}} => {{1},{2,3,6},{4},{5}} {{1},{2,3},{4,6},{5}} => {{1},{2,3},{4,6},{5}} {{1},{2,3},{4},{5,6}} => {{1},{2,3},{4},{5,6}} {{1},{2,3},{4},{5},{6}} => {{1},{2,3},{4},{5},{6}} {{1,4,5,6},{2},{3}} => {{1,4,5,6},{2},{3}} {{1,4,5},{2,6},{3}} => {{1,5},{2,4,6},{3}} {{1,4,5},{2},{3,6}} => {{1,5},{2},{3,4,6}} {{1,4,5},{2},{3},{6}} => {{1,4,5},{2},{3},{6}} {{1,4,6},{2,5},{3}} => {{1,6},{2,4,5},{3}} {{1,4},{2,5,6},{3}} => {{1,5,6},{2,4},{3}} {{1,4},{2,5},{3,6}} => {{1,6},{2,5},{3,4}} {{1,4},{2,5},{3},{6}} => {{1,5},{2,4},{3},{6}} {{1,4,6},{2},{3,5}} => {{1,6},{2},{3,4,5}} {{1,4},{2,6},{3,5}} => {{1,5},{2,6},{3,4}} {{1,4},{2},{3,5,6}} => {{1,5,6},{2},{3,4}} {{1,4},{2},{3,5},{6}} => {{1,5},{2},{3,4},{6}} {{1,4,6},{2},{3},{5}} => {{1,4,6},{2},{3},{5}} {{1,4},{2,6},{3},{5}} => {{1,6},{2,4},{3},{5}} {{1,4},{2},{3,6},{5}} => {{1,6},{2},{3,4},{5}} {{1,4},{2},{3},{5,6}} => {{1,4},{2},{3},{5,6}} {{1,4},{2},{3},{5},{6}} => {{1,4},{2},{3},{5},{6}} {{1,5,6},{2,4},{3}} => {{1,4},{2,5,6},{3}} {{1,5},{2,4,6},{3}} => {{1,4,6},{2,5},{3}} {{1,5},{2,4},{3,6}} => {{1,6},{2,4},{3,5}} {{1,5},{2,4},{3},{6}} => {{1,4},{2,5},{3},{6}} {{1,6},{2,4,5},{3}} => {{1,4,5},{2,6},{3}} {{1},{2,4,5,6},{3}} => {{1},{2,4,5,6},{3}} {{1},{2,4,5},{3,6}} => {{1},{2,5},{3,4,6}} {{1},{2,4,5},{3},{6}} => {{1},{2,4,5},{3},{6}} {{1,6},{2,4},{3,5}} => {{1,5},{2,4},{3,6}} {{1},{2,4,6},{3,5}} => {{1},{2,6},{3,4,5}} {{1},{2,4},{3,5,6}} => {{1},{2,5,6},{3,4}} {{1},{2,4},{3,5},{6}} => {{1},{2,5},{3,4},{6}} {{1,6},{2,4},{3},{5}} => {{1,4},{2,6},{3},{5}} {{1},{2,4,6},{3},{5}} => {{1},{2,4,6},{3},{5}} {{1},{2,4},{3,6},{5}} => {{1},{2,6},{3,4},{5}} {{1},{2,4},{3},{5,6}} => {{1},{2,4},{3},{5,6}} {{1},{2,4},{3},{5},{6}} => {{1},{2,4},{3},{5},{6}} {{1,5,6},{2},{3,4}} => {{1,4},{2},{3,5,6}} {{1,5},{2,6},{3,4}} => {{1,4},{2,6},{3,5}} {{1,5},{2},{3,4,6}} => {{1,4,6},{2},{3,5}} {{1,5},{2},{3,4},{6}} => {{1,4},{2},{3,5},{6}} {{1,6},{2,5},{3,4}} => {{1,4},{2,5},{3,6}} {{1},{2,5,6},{3,4}} => {{1},{2,4},{3,5,6}} {{1},{2,5},{3,4,6}} => {{1},{2,4,6},{3,5}} {{1},{2,5},{3,4},{6}} => {{1},{2,4},{3,5},{6}} {{1,6},{2},{3,4,5}} => {{1,4,5},{2},{3,6}} {{1},{2,6},{3,4,5}} => {{1},{2,4,5},{3,6}} {{1},{2},{3,4,5,6}} => {{1},{2},{3,4,5,6}} {{1},{2},{3,4,5},{6}} => {{1},{2},{3,4,5},{6}} {{1,6},{2},{3,4},{5}} => {{1,4},{2},{3,6},{5}} {{1},{2,6},{3,4},{5}} => {{1},{2,4},{3,6},{5}} {{1},{2},{3,4,6},{5}} => {{1},{2},{3,4,6},{5}} {{1},{2},{3,4},{5,6}} => {{1},{2},{3,4},{5,6}} {{1},{2},{3,4},{5},{6}} => {{1},{2},{3,4},{5},{6}} {{1,5,6},{2},{3},{4}} => {{1,5,6},{2},{3},{4}} {{1,5},{2,6},{3},{4}} => {{1,6},{2,5},{3},{4}} {{1,5},{2},{3,6},{4}} => {{1,6},{2},{3,5},{4}} {{1,5},{2},{3},{4,6}} => {{1,6},{2},{3},{4,5}} {{1,5},{2},{3},{4},{6}} => {{1,5},{2},{3},{4},{6}} {{1,6},{2,5},{3},{4}} => {{1,5},{2,6},{3},{4}} {{1},{2,5,6},{3},{4}} => {{1},{2,5,6},{3},{4}} {{1},{2,5},{3,6},{4}} => {{1},{2,6},{3,5},{4}} {{1},{2,5},{3},{4,6}} => {{1},{2,6},{3},{4,5}} {{1},{2,5},{3},{4},{6}} => {{1},{2,5},{3},{4},{6}} {{1,6},{2},{3,5},{4}} => {{1,5},{2},{3,6},{4}} {{1},{2,6},{3,5},{4}} => {{1},{2,5},{3,6},{4}} {{1},{2},{3,5,6},{4}} => {{1},{2},{3,5,6},{4}} {{1},{2},{3,5},{4,6}} => {{1},{2},{3,6},{4,5}} {{1},{2},{3,5},{4},{6}} => {{1},{2},{3,5},{4},{6}} {{1,6},{2},{3},{4,5}} => {{1,5},{2},{3},{4,6}} {{1},{2,6},{3},{4,5}} => {{1},{2,5},{3},{4,6}} {{1},{2},{3,6},{4,5}} => {{1},{2},{3,5},{4,6}} {{1},{2},{3},{4,5,6}} => {{1},{2},{3},{4,5,6}} {{1},{2},{3},{4,5},{6}} => {{1},{2},{3},{4,5},{6}} {{1,6},{2},{3},{4},{5}} => {{1,6},{2},{3},{4},{5}} {{1},{2,6},{3},{4},{5}} => {{1},{2,6},{3},{4},{5}} {{1},{2},{3,6},{4},{5}} => {{1},{2},{3,6},{4},{5}} {{1},{2},{3},{4,6},{5}} => {{1},{2},{3},{4,6},{5}} {{1},{2},{3},{4},{5,6}} => {{1},{2},{3},{4},{5,6}} {{1},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6}} {{1,2,3,4,5,6,7}} => {{1,2,3,4,5,6,7}} {{1,2,3,4,5,6},{7}} => {{1,2,3,4,5,6},{7}} {{1,2,3,4,5,7},{6}} => {{1,2,3,4,5,7},{6}} {{1,2,3,4,5},{6,7}} => {{1,2,3,4,5},{6,7}} {{1,2,3,4,5},{6},{7}} => {{1,2,3,4,5},{6},{7}} {{1,2,3,4,6,7},{5}} => {{1,2,3,4,6,7},{5}} {{1,2,3,4,6},{5,7}} => {{1,2,3,4,7},{5,6}} {{1,2,3,4,6},{5},{7}} => {{1,2,3,4,6},{5},{7}} {{1,2,3,4,7},{5,6}} => {{1,2,3,4,6},{5,7}} {{1,2,3,4},{5,6,7}} => {{1,2,3,4},{5,6,7}} {{1,2,3,4},{5,6},{7}} => {{1,2,3,4},{5,6},{7}} {{1,2,3,4,7},{5},{6}} => {{1,2,3,4,7},{5},{6}} {{1,2,3,4},{5,7},{6}} => {{1,2,3,4},{5,7},{6}} {{1,2,3,4},{5},{6,7}} => {{1,2,3,4},{5},{6,7}} {{1,2,3,4},{5},{6},{7}} => {{1,2,3,4},{5},{6},{7}} {{1,2,3,5,6,7},{4}} => {{1,2,3,5,6,7},{4}} {{1,2,3,5,6},{4,7}} => {{1,2,3,6},{4,5,7}} {{1,2,3,5,6},{4},{7}} => {{1,2,3,5,6},{4},{7}} {{1,2,3,5,7},{4,6}} => {{1,2,3,7},{4,5,6}} {{1,2,3,5},{4,6,7}} => {{1,2,3,6,7},{4,5}} {{1,2,3,5},{4,6},{7}} => {{1,2,3,6},{4,5},{7}} {{1,2,3,5,7},{4},{6}} => {{1,2,3,5,7},{4},{6}} {{1,2,3,5},{4,7},{6}} => {{1,2,3,7},{4,5},{6}} {{1,2,3,5},{4},{6,7}} => {{1,2,3,5},{4},{6,7}} {{1,2,3,5},{4},{6},{7}} => {{1,2,3,5},{4},{6},{7}} {{1,2,3,6,7},{4,5}} => {{1,2,3,5},{4,6,7}} {{1,2,3,6},{4,5,7}} => {{1,2,3,5,7},{4,6}} {{1,2,3,6},{4,5},{7}} => {{1,2,3,5},{4,6},{7}} {{1,2,3,7},{4,5,6}} => {{1,2,3,5,6},{4,7}} {{1,2,3},{4,5,6,7}} => {{1,2,3},{4,5,6,7}} {{1,2,3},{4,5,6},{7}} => {{1,2,3},{4,5,6},{7}} {{1,2,3,7},{4,5},{6}} => {{1,2,3,5},{4,7},{6}} {{1,2,3},{4,5,7},{6}} => {{1,2,3},{4,5,7},{6}} {{1,2,3},{4,5},{6,7}} => {{1,2,3},{4,5},{6,7}} {{1,2,3},{4,5},{6},{7}} => {{1,2,3},{4,5},{6},{7}} {{1,2,3,6,7},{4},{5}} => {{1,2,3,6,7},{4},{5}} {{1,2,3,6},{4,7},{5}} => {{1,2,3,7},{4,6},{5}} {{1,2,3,6},{4},{5,7}} => {{1,2,3,7},{4},{5,6}} {{1,2,3,6},{4},{5},{7}} => {{1,2,3,6},{4},{5},{7}} {{1,2,3,7},{4,6},{5}} => {{1,2,3,6},{4,7},{5}} {{1,2,3},{4,6,7},{5}} => {{1,2,3},{4,6,7},{5}} {{1,2,3},{4,6},{5,7}} => {{1,2,3},{4,7},{5,6}} {{1,2,3},{4,6},{5},{7}} => {{1,2,3},{4,6},{5},{7}} {{1,2,3,7},{4},{5,6}} => {{1,2,3,6},{4},{5,7}} {{1,2,3},{4,7},{5,6}} => {{1,2,3},{4,6},{5,7}} {{1,2,3},{4},{5,6,7}} => {{1,2,3},{4},{5,6,7}} {{1,2,3},{4},{5,6},{7}} => {{1,2,3},{4},{5,6},{7}} {{1,2,3,7},{4},{5},{6}} => {{1,2,3,7},{4},{5},{6}} {{1,2,3},{4,7},{5},{6}} => {{1,2,3},{4,7},{5},{6}} {{1,2,3},{4},{5,7},{6}} => {{1,2,3},{4},{5,7},{6}} {{1,2,3},{4},{5},{6,7}} => {{1,2,3},{4},{5},{6,7}} {{1,2,3},{4},{5},{6},{7}} => {{1,2,3},{4},{5},{6},{7}} {{1,2,4,5,6,7},{3}} => {{1,2,4,5,6,7},{3}} {{1,2,4,5,6},{3,7}} => {{1,2,5,6},{3,4,7}} {{1,2,4,5,6},{3},{7}} => {{1,2,4,5,6},{3},{7}} {{1,2,4,5,7},{3,6}} => {{1,2,5,7},{3,4,6}} {{1,2,4,5},{3,6,7}} => {{1,2,5},{3,4,6,7}} {{1,2,4,5},{3,6},{7}} => {{1,2,5},{3,4,6},{7}} {{1,2,4,5,7},{3},{6}} => {{1,2,4,5,7},{3},{6}} {{1,2,4,5},{3,7},{6}} => {{1,2,5},{3,4,7},{6}} {{1,2,4,5},{3},{6,7}} => {{1,2,4,5},{3},{6,7}} {{1,2,4,5},{3},{6},{7}} => {{1,2,4,5},{3},{6},{7}} {{1,2,4,6,7},{3,5}} => {{1,2,6,7},{3,4,5}} {{1,2,4,6},{3,5,7}} => {{1,2,7},{3,4,5,6}} {{1,2,4,6},{3,5},{7}} => {{1,2,6},{3,4,5},{7}} {{1,2,4,7},{3,5,6}} => {{1,2,6},{3,4,5,7}} {{1,2,4},{3,5,6,7}} => {{1,2,5,6,7},{3,4}} {{1,2,4},{3,5,6},{7}} => {{1,2,5,6},{3,4},{7}} {{1,2,4,7},{3,5},{6}} => {{1,2,7},{3,4,5},{6}} {{1,2,4},{3,5,7},{6}} => {{1,2,5,7},{3,4},{6}} {{1,2,4},{3,5},{6,7}} => {{1,2,5},{3,4},{6,7}} {{1,2,4},{3,5},{6},{7}} => {{1,2,5},{3,4},{6},{7}} {{1,2,4,6,7},{3},{5}} => {{1,2,4,6,7},{3},{5}} {{1,2,4,6},{3,7},{5}} => {{1,2,6},{3,4,7},{5}} {{1,2,4,6},{3},{5,7}} => {{1,2,4,7},{3},{5,6}} {{1,2,4,6},{3},{5},{7}} => {{1,2,4,6},{3},{5},{7}} {{1,2,4,7},{3,6},{5}} => {{1,2,7},{3,4,6},{5}} {{1,2,4},{3,6,7},{5}} => {{1,2,6,7},{3,4},{5}} {{1,2,4},{3,6},{5,7}} => {{1,2,7},{3,4},{5,6}} {{1,2,4},{3,6},{5},{7}} => {{1,2,6},{3,4},{5},{7}} {{1,2,4,7},{3},{5,6}} => {{1,2,4,6},{3},{5,7}} {{1,2,4},{3,7},{5,6}} => {{1,2,6},{3,4},{5,7}} {{1,2,4},{3},{5,6,7}} => {{1,2,4},{3},{5,6,7}} {{1,2,4},{3},{5,6},{7}} => {{1,2,4},{3},{5,6},{7}} {{1,2,4,7},{3},{5},{6}} => {{1,2,4,7},{3},{5},{6}} {{1,2,4},{3,7},{5},{6}} => {{1,2,7},{3,4},{5},{6}} {{1,2,4},{3},{5,7},{6}} => {{1,2,4},{3},{5,7},{6}} {{1,2,4},{3},{5},{6,7}} => {{1,2,4},{3},{5},{6,7}} {{1,2,4},{3},{5},{6},{7}} => {{1,2,4},{3},{5},{6},{7}} {{1,2,5,6,7},{3,4}} => {{1,2,4},{3,5,6,7}} {{1,2,5,6},{3,4,7}} => {{1,2,4,6},{3,5,7}} {{1,2,5,6},{3,4},{7}} => {{1,2,4},{3,5,6},{7}} {{1,2,5,7},{3,4,6}} => {{1,2,4,7},{3,5,6}} {{1,2,5},{3,4,6,7}} => {{1,2,4,6,7},{3,5}} {{1,2,5},{3,4,6},{7}} => {{1,2,4,6},{3,5},{7}} {{1,2,5,7},{3,4},{6}} => {{1,2,4},{3,5,7},{6}} {{1,2,5},{3,4,7},{6}} => {{1,2,4,7},{3,5},{6}} {{1,2,5},{3,4},{6,7}} => {{1,2,4},{3,5},{6,7}} {{1,2,5},{3,4},{6},{7}} => {{1,2,4},{3,5},{6},{7}} {{1,2,6,7},{3,4,5}} => {{1,2,4,5},{3,6,7}} {{1,2,6},{3,4,5,7}} => {{1,2,4,5,7},{3,6}} {{1,2,6},{3,4,5},{7}} => {{1,2,4,5},{3,6},{7}} {{1,2,7},{3,4,5,6}} => {{1,2,4,5,6},{3,7}} {{1,2},{3,4,5,6,7}} => {{1,2},{3,4,5,6,7}} {{1,2},{3,4,5,6},{7}} => {{1,2},{3,4,5,6},{7}} {{1,2,7},{3,4,5},{6}} => {{1,2,4,5},{3,7},{6}} {{1,2},{3,4,5,7},{6}} => {{1,2},{3,4,5,7},{6}} {{1,2},{3,4,5},{6,7}} => {{1,2},{3,4,5},{6,7}} {{1,2},{3,4,5},{6},{7}} => {{1,2},{3,4,5},{6},{7}} {{1,2,6,7},{3,4},{5}} => {{1,2,4},{3,6,7},{5}} {{1,2,6},{3,4,7},{5}} => {{1,2,4,7},{3,6},{5}} {{1,2,6},{3,4},{5,7}} => {{1,2,4},{3,7},{5,6}} {{1,2,6},{3,4},{5},{7}} => {{1,2,4},{3,6},{5},{7}} {{1,2,7},{3,4,6},{5}} => {{1,2,4,6},{3,7},{5}} {{1,2},{3,4,6,7},{5}} => {{1,2},{3,4,6,7},{5}} {{1,2},{3,4,6},{5,7}} => {{1,2},{3,4,7},{5,6}} {{1,2},{3,4,6},{5},{7}} => {{1,2},{3,4,6},{5},{7}} {{1,2,7},{3,4},{5,6}} => {{1,2,4},{3,6},{5,7}} {{1,2},{3,4,7},{5,6}} => {{1,2},{3,4,6},{5,7}} {{1,2},{3,4},{5,6,7}} => {{1,2},{3,4},{5,6,7}} {{1,2},{3,4},{5,6},{7}} => {{1,2},{3,4},{5,6},{7}} {{1,2,7},{3,4},{5},{6}} => {{1,2,4},{3,7},{5},{6}} {{1,2},{3,4,7},{5},{6}} => {{1,2},{3,4,7},{5},{6}} {{1,2},{3,4},{5,7},{6}} => {{1,2},{3,4},{5,7},{6}} {{1,2},{3,4},{5},{6,7}} => {{1,2},{3,4},{5},{6,7}} {{1,2},{3,4},{5},{6},{7}} => {{1,2},{3,4},{5},{6},{7}} {{1,2,5,6,7},{3},{4}} => {{1,2,5,6,7},{3},{4}} {{1,2,5,6},{3,7},{4}} => {{1,2,6},{3,5,7},{4}} {{1,2,5,6},{3},{4,7}} => {{1,2,6},{3},{4,5,7}} {{1,2,5,6},{3},{4},{7}} => {{1,2,5,6},{3},{4},{7}} {{1,2,5,7},{3,6},{4}} => {{1,2,7},{3,5,6},{4}} {{1,2,5},{3,6,7},{4}} => {{1,2,6,7},{3,5},{4}} {{1,2,5},{3,6},{4,7}} => {{1,2,7},{3,6},{4,5}} {{1,2,5},{3,6},{4},{7}} => {{1,2,6},{3,5},{4},{7}} {{1,2,5,7},{3},{4,6}} => {{1,2,7},{3},{4,5,6}} {{1,2,5},{3,7},{4,6}} => {{1,2,6},{3,7},{4,5}} {{1,2,5},{3},{4,6,7}} => {{1,2,6,7},{3},{4,5}} {{1,2,5},{3},{4,6},{7}} => {{1,2,6},{3},{4,5},{7}} {{1,2,5,7},{3},{4},{6}} => {{1,2,5,7},{3},{4},{6}} {{1,2,5},{3,7},{4},{6}} => {{1,2,7},{3,5},{4},{6}} {{1,2,5},{3},{4,7},{6}} => {{1,2,7},{3},{4,5},{6}} {{1,2,5},{3},{4},{6,7}} => {{1,2,5},{3},{4},{6,7}} {{1,2,5},{3},{4},{6},{7}} => {{1,2,5},{3},{4},{6},{7}} {{1,2,6,7},{3,5},{4}} => {{1,2,5},{3,6,7},{4}} {{1,2,6},{3,5,7},{4}} => {{1,2,5,7},{3,6},{4}} {{1,2,6},{3,5},{4,7}} => {{1,2,7},{3,5},{4,6}} {{1,2,6},{3,5},{4},{7}} => {{1,2,5},{3,6},{4},{7}} {{1,2,7},{3,5,6},{4}} => {{1,2,5,6},{3,7},{4}} {{1,2},{3,5,6,7},{4}} => {{1,2},{3,5,6,7},{4}} {{1,2},{3,5,6},{4,7}} => {{1,2},{3,6},{4,5,7}} {{1,2},{3,5,6},{4},{7}} => {{1,2},{3,5,6},{4},{7}} {{1,2,7},{3,5},{4,6}} => {{1,2,6},{3,5},{4,7}} {{1,2},{3,5,7},{4,6}} => {{1,2},{3,7},{4,5,6}} {{1,2},{3,5},{4,6,7}} => {{1,2},{3,6,7},{4,5}} {{1,2},{3,5},{4,6},{7}} => {{1,2},{3,6},{4,5},{7}} {{1,2,7},{3,5},{4},{6}} => {{1,2,5},{3,7},{4},{6}} {{1,2},{3,5,7},{4},{6}} => {{1,2},{3,5,7},{4},{6}} {{1,2},{3,5},{4,7},{6}} => {{1,2},{3,7},{4,5},{6}} {{1,2},{3,5},{4},{6,7}} => {{1,2},{3,5},{4},{6,7}} {{1,2},{3,5},{4},{6},{7}} => {{1,2},{3,5},{4},{6},{7}} {{1,2,6,7},{3},{4,5}} => {{1,2,5},{3},{4,6,7}} {{1,2,6},{3,7},{4,5}} => {{1,2,5},{3,7},{4,6}} {{1,2,6},{3},{4,5,7}} => {{1,2,5,7},{3},{4,6}} {{1,2,6},{3},{4,5},{7}} => {{1,2,5},{3},{4,6},{7}} {{1,2,7},{3,6},{4,5}} => {{1,2,5},{3,6},{4,7}} {{1,2},{3,6,7},{4,5}} => {{1,2},{3,5},{4,6,7}} {{1,2},{3,6},{4,5,7}} => {{1,2},{3,5,7},{4,6}} {{1,2},{3,6},{4,5},{7}} => {{1,2},{3,5},{4,6},{7}} {{1,2,7},{3},{4,5,6}} => {{1,2,5,6},{3},{4,7}} {{1,2},{3,7},{4,5,6}} => {{1,2},{3,5,6},{4,7}} {{1,2},{3},{4,5,6,7}} => {{1,2},{3},{4,5,6,7}} {{1,2},{3},{4,5,6},{7}} => {{1,2},{3},{4,5,6},{7}} {{1,2,7},{3},{4,5},{6}} => {{1,2,5},{3},{4,7},{6}} {{1,2},{3,7},{4,5},{6}} => {{1,2},{3,5},{4,7},{6}} {{1,2},{3},{4,5,7},{6}} => {{1,2},{3},{4,5,7},{6}} {{1,2},{3},{4,5},{6,7}} => {{1,2},{3},{4,5},{6,7}} {{1,2},{3},{4,5},{6},{7}} => {{1,2},{3},{4,5},{6},{7}} {{1,2,6,7},{3},{4},{5}} => {{1,2,6,7},{3},{4},{5}} {{1,2,6},{3,7},{4},{5}} => {{1,2,7},{3,6},{4},{5}} {{1,2,6},{3},{4,7},{5}} => {{1,2,7},{3},{4,6},{5}} {{1,2,6},{3},{4},{5,7}} => {{1,2,7},{3},{4},{5,6}} {{1,2,6},{3},{4},{5},{7}} => {{1,2,6},{3},{4},{5},{7}} {{1,2,7},{3,6},{4},{5}} => {{1,2,6},{3,7},{4},{5}} {{1,2},{3,6,7},{4},{5}} => {{1,2},{3,6,7},{4},{5}} {{1,2},{3,6},{4,7},{5}} => {{1,2},{3,7},{4,6},{5}} {{1,2},{3,6},{4},{5,7}} => {{1,2},{3,7},{4},{5,6}} {{1,2},{3,6},{4},{5},{7}} => {{1,2},{3,6},{4},{5},{7}} {{1,2,7},{3},{4,6},{5}} => {{1,2,6},{3},{4,7},{5}} {{1,2},{3,7},{4,6},{5}} => {{1,2},{3,6},{4,7},{5}} {{1,2},{3},{4,6,7},{5}} => {{1,2},{3},{4,6,7},{5}} {{1,2},{3},{4,6},{5,7}} => {{1,2},{3},{4,7},{5,6}} {{1,2},{3},{4,6},{5},{7}} => {{1,2},{3},{4,6},{5},{7}} {{1,2,7},{3},{4},{5,6}} => {{1,2,6},{3},{4},{5,7}} {{1,2},{3,7},{4},{5,6}} => {{1,2},{3,6},{4},{5,7}} {{1,2},{3},{4,7},{5,6}} => {{1,2},{3},{4,6},{5,7}} {{1,2},{3},{4},{5,6,7}} => {{1,2},{3},{4},{5,6,7}} {{1,2},{3},{4},{5,6},{7}} => {{1,2},{3},{4},{5,6},{7}} {{1,2,7},{3},{4},{5},{6}} => {{1,2,7},{3},{4},{5},{6}} {{1,2},{3,7},{4},{5},{6}} => {{1,2},{3,7},{4},{5},{6}} {{1,2},{3},{4,7},{5},{6}} => {{1,2},{3},{4,7},{5},{6}} {{1,2},{3},{4},{5,7},{6}} => {{1,2},{3},{4},{5,7},{6}} {{1,2},{3},{4},{5},{6,7}} => {{1,2},{3},{4},{5},{6,7}} {{1,2},{3},{4},{5},{6},{7}} => {{1,2},{3},{4},{5},{6},{7}} {{1,3,4,5,6,7},{2}} => {{1,3,4,5,6,7},{2}} {{1,3,4,5,6},{2,7}} => {{1,4,5,6},{2,3,7}} {{1,3,4,5,6},{2},{7}} => {{1,3,4,5,6},{2},{7}} {{1,3,4,5,7},{2,6}} => {{1,4,5,7},{2,3,6}} {{1,3,4,5},{2,6,7}} => {{1,4,5},{2,3,6,7}} {{1,3,4,5},{2,6},{7}} => {{1,4,5},{2,3,6},{7}} {{1,3,4,5,7},{2},{6}} => {{1,3,4,5,7},{2},{6}} {{1,3,4,5},{2,7},{6}} => {{1,4,5},{2,3,7},{6}} {{1,3,4,5},{2},{6,7}} => {{1,3,4,5},{2},{6,7}} {{1,3,4,5},{2},{6},{7}} => {{1,3,4,5},{2},{6},{7}} {{1,3,4,6,7},{2,5}} => {{1,4,6,7},{2,3,5}} {{1,3,4,6},{2,5,7}} => {{1,4,7},{2,3,5,6}} {{1,3,4,6},{2,5},{7}} => {{1,4,6},{2,3,5},{7}} {{1,3,4,7},{2,5,6}} => {{1,4,6},{2,3,5,7}} {{1,3,4},{2,5,6,7}} => {{1,4},{2,3,5,6,7}} {{1,3,4},{2,5,6},{7}} => {{1,4},{2,3,5,6},{7}} {{1,3,4,7},{2,5},{6}} => {{1,4,7},{2,3,5},{6}} {{1,3,4},{2,5,7},{6}} => {{1,4},{2,3,5,7},{6}} {{1,3,4},{2,5},{6,7}} => {{1,4},{2,3,5},{6,7}} {{1,3,4},{2,5},{6},{7}} => {{1,4},{2,3,5},{6},{7}} {{1,3,4,6,7},{2},{5}} => {{1,3,4,6,7},{2},{5}} {{1,3,4,6},{2,7},{5}} => {{1,4,6},{2,3,7},{5}} {{1,3,4,6},{2},{5,7}} => {{1,3,4,7},{2},{5,6}} {{1,3,4,6},{2},{5},{7}} => {{1,3,4,6},{2},{5},{7}} {{1,3,4,7},{2,6},{5}} => {{1,4,7},{2,3,6},{5}} {{1,3,4},{2,6,7},{5}} => {{1,4},{2,3,6,7},{5}} {{1,3,4},{2,6},{5,7}} => {{1,4},{2,3,7},{5,6}} {{1,3,4},{2,6},{5},{7}} => {{1,4},{2,3,6},{5},{7}} {{1,3,4,7},{2},{5,6}} => {{1,3,4,6},{2},{5,7}} {{1,3,4},{2,7},{5,6}} => {{1,4},{2,3,6},{5,7}} {{1,3,4},{2},{5,6,7}} => {{1,3,4},{2},{5,6,7}} {{1,3,4},{2},{5,6},{7}} => {{1,3,4},{2},{5,6},{7}} {{1,3,4,7},{2},{5},{6}} => {{1,3,4,7},{2},{5},{6}} {{1,3,4},{2,7},{5},{6}} => {{1,4},{2,3,7},{5},{6}} {{1,3,4},{2},{5,7},{6}} => {{1,3,4},{2},{5,7},{6}} {{1,3,4},{2},{5},{6,7}} => {{1,3,4},{2},{5},{6,7}} {{1,3,4},{2},{5},{6},{7}} => {{1,3,4},{2},{5},{6},{7}} {{1,3,5,6,7},{2,4}} => {{1,5,6,7},{2,3,4}} {{1,3,5,6},{2,4,7}} => {{1,6},{2,3,4,5,7}} {{1,3,5,6},{2,4},{7}} => {{1,5,6},{2,3,4},{7}} {{1,3,5,7},{2,4,6}} => {{1,7},{2,3,4,5,6}} {{1,3,5},{2,4,6,7}} => {{1,6,7},{2,3,4,5}} {{1,3,5},{2,4,6},{7}} => {{1,6},{2,3,4,5},{7}} {{1,3,5,7},{2,4},{6}} => {{1,5,7},{2,3,4},{6}} {{1,3,5},{2,4,7},{6}} => {{1,7},{2,3,4,5},{6}} {{1,3,5},{2,4},{6,7}} => {{1,5},{2,3,4},{6,7}} {{1,3,5},{2,4},{6},{7}} => {{1,5},{2,3,4},{6},{7}} {{1,3,6,7},{2,4,5}} => {{1,5},{2,3,4,6,7}} {{1,3,6},{2,4,5,7}} => {{1,5,7},{2,3,4,6}} {{1,3,6},{2,4,5},{7}} => {{1,5},{2,3,4,6},{7}} {{1,3,7},{2,4,5,6}} => {{1,5,6},{2,3,4,7}} {{1,3},{2,4,5,6,7}} => {{1,4,5,6,7},{2,3}} {{1,3},{2,4,5,6},{7}} => {{1,4,5,6},{2,3},{7}} {{1,3,7},{2,4,5},{6}} => {{1,5},{2,3,4,7},{6}} {{1,3},{2,4,5,7},{6}} => {{1,4,5,7},{2,3},{6}} {{1,3},{2,4,5},{6,7}} => {{1,4,5},{2,3},{6,7}} {{1,3},{2,4,5},{6},{7}} => {{1,4,5},{2,3},{6},{7}} {{1,3,6,7},{2,4},{5}} => {{1,6,7},{2,3,4},{5}} {{1,3,6},{2,4,7},{5}} => {{1,7},{2,3,4,6},{5}} {{1,3,6},{2,4},{5,7}} => {{1,7},{2,3,4},{5,6}} {{1,3,6},{2,4},{5},{7}} => {{1,6},{2,3,4},{5},{7}} {{1,3,7},{2,4,6},{5}} => {{1,6},{2,3,4,7},{5}} {{1,3},{2,4,6,7},{5}} => {{1,4,6,7},{2,3},{5}} {{1,3},{2,4,6},{5,7}} => {{1,4,7},{2,3},{5,6}} {{1,3},{2,4,6},{5},{7}} => {{1,4,6},{2,3},{5},{7}} {{1,3,7},{2,4},{5,6}} => {{1,6},{2,3,4},{5,7}} {{1,3},{2,4,7},{5,6}} => {{1,4,6},{2,3},{5,7}} {{1,3},{2,4},{5,6,7}} => {{1,4},{2,3},{5,6,7}} {{1,3},{2,4},{5,6},{7}} => {{1,4},{2,3},{5,6},{7}} {{1,3,7},{2,4},{5},{6}} => {{1,7},{2,3,4},{5},{6}} {{1,3},{2,4,7},{5},{6}} => {{1,4,7},{2,3},{5},{6}} {{1,3},{2,4},{5,7},{6}} => {{1,4},{2,3},{5,7},{6}} {{1,3},{2,4},{5},{6,7}} => {{1,4},{2,3},{5},{6,7}} {{1,3},{2,4},{5},{6},{7}} => {{1,4},{2,3},{5},{6},{7}} {{1,3,5,6,7},{2},{4}} => {{1,3,5,6,7},{2},{4}} {{1,3,5,6},{2,7},{4}} => {{1,5,6},{2,3,7},{4}} {{1,3,5,6},{2},{4,7}} => {{1,3,6},{2},{4,5,7}} {{1,3,5,6},{2},{4},{7}} => {{1,3,5,6},{2},{4},{7}} {{1,3,5,7},{2,6},{4}} => {{1,5,7},{2,3,6},{4}} {{1,3,5},{2,6,7},{4}} => {{1,5},{2,3,6,7},{4}} {{1,3,5},{2,6},{4,7}} => {{1,7},{2,3,5},{4,6}} {{1,3,5},{2,6},{4},{7}} => {{1,5},{2,3,6},{4},{7}} {{1,3,5,7},{2},{4,6}} => {{1,3,7},{2},{4,5,6}} {{1,3,5},{2,7},{4,6}} => {{1,6},{2,3,5},{4,7}} {{1,3,5},{2},{4,6,7}} => {{1,3,6,7},{2},{4,5}} {{1,3,5},{2},{4,6},{7}} => {{1,3,6},{2},{4,5},{7}} {{1,3,5,7},{2},{4},{6}} => {{1,3,5,7},{2},{4},{6}} {{1,3,5},{2,7},{4},{6}} => {{1,5},{2,3,7},{4},{6}} {{1,3,5},{2},{4,7},{6}} => {{1,3,7},{2},{4,5},{6}} {{1,3,5},{2},{4},{6,7}} => {{1,3,5},{2},{4},{6,7}} {{1,3,5},{2},{4},{6},{7}} => {{1,3,5},{2},{4},{6},{7}} {{1,3,6,7},{2,5},{4}} => {{1,6,7},{2,3,5},{4}} {{1,3,6},{2,5,7},{4}} => {{1,7},{2,3,5,6},{4}} {{1,3,6},{2,5},{4,7}} => {{1,7},{2,3,6},{4,5}} {{1,3,6},{2,5},{4},{7}} => {{1,6},{2,3,5},{4},{7}} {{1,3,7},{2,5,6},{4}} => {{1,6},{2,3,5,7},{4}} {{1,3},{2,5,6,7},{4}} => {{1,5,6,7},{2,3},{4}} {{1,3},{2,5,6},{4,7}} => {{1,6},{2,3},{4,5,7}} {{1,3},{2,5,6},{4},{7}} => {{1,5,6},{2,3},{4},{7}} {{1,3,7},{2,5},{4,6}} => {{1,6},{2,3,7},{4,5}} {{1,3},{2,5,7},{4,6}} => {{1,7},{2,3},{4,5,6}} {{1,3},{2,5},{4,6,7}} => {{1,6,7},{2,3},{4,5}} {{1,3},{2,5},{4,6},{7}} => {{1,6},{2,3},{4,5},{7}} {{1,3,7},{2,5},{4},{6}} => {{1,7},{2,3,5},{4},{6}} {{1,3},{2,5,7},{4},{6}} => {{1,5,7},{2,3},{4},{6}} {{1,3},{2,5},{4,7},{6}} => {{1,7},{2,3},{4,5},{6}} {{1,3},{2,5},{4},{6,7}} => {{1,5},{2,3},{4},{6,7}} {{1,3},{2,5},{4},{6},{7}} => {{1,5},{2,3},{4},{6},{7}} {{1,3,6,7},{2},{4,5}} => {{1,3,5},{2},{4,6,7}} {{1,3,6},{2,7},{4,5}} => {{1,5},{2,3,6},{4,7}} {{1,3,6},{2},{4,5,7}} => {{1,3,5,7},{2},{4,6}} {{1,3,6},{2},{4,5},{7}} => {{1,3,5},{2},{4,6},{7}} {{1,3,7},{2,6},{4,5}} => {{1,5},{2,3,7},{4,6}} {{1,3},{2,6,7},{4,5}} => {{1,5},{2,3},{4,6,7}} {{1,3},{2,6},{4,5,7}} => {{1,5,7},{2,3},{4,6}} {{1,3},{2,6},{4,5},{7}} => {{1,5},{2,3},{4,6},{7}} {{1,3,7},{2},{4,5,6}} => {{1,3,5,6},{2},{4,7}} {{1,3},{2,7},{4,5,6}} => {{1,5,6},{2,3},{4,7}} {{1,3},{2},{4,5,6,7}} => {{1,3},{2},{4,5,6,7}} {{1,3},{2},{4,5,6},{7}} => {{1,3},{2},{4,5,6},{7}} {{1,3,7},{2},{4,5},{6}} => {{1,3,5},{2},{4,7},{6}} {{1,3},{2,7},{4,5},{6}} => {{1,5},{2,3},{4,7},{6}} {{1,3},{2},{4,5,7},{6}} => {{1,3},{2},{4,5,7},{6}} {{1,3},{2},{4,5},{6,7}} => {{1,3},{2},{4,5},{6,7}} {{1,3},{2},{4,5},{6},{7}} => {{1,3},{2},{4,5},{6},{7}} {{1,3,6,7},{2},{4},{5}} => {{1,3,6,7},{2},{4},{5}} {{1,3,6},{2,7},{4},{5}} => {{1,6},{2,3,7},{4},{5}} {{1,3,6},{2},{4,7},{5}} => {{1,3,7},{2},{4,6},{5}} {{1,3,6},{2},{4},{5,7}} => {{1,3,7},{2},{4},{5,6}} {{1,3,6},{2},{4},{5},{7}} => {{1,3,6},{2},{4},{5},{7}} {{1,3,7},{2,6},{4},{5}} => {{1,7},{2,3,6},{4},{5}} {{1,3},{2,6,7},{4},{5}} => {{1,6,7},{2,3},{4},{5}} {{1,3},{2,6},{4,7},{5}} => {{1,7},{2,3},{4,6},{5}} {{1,3},{2,6},{4},{5,7}} => {{1,7},{2,3},{4},{5,6}} {{1,3},{2,6},{4},{5},{7}} => {{1,6},{2,3},{4},{5},{7}} {{1,3,7},{2},{4,6},{5}} => {{1,3,6},{2},{4,7},{5}} {{1,3},{2,7},{4,6},{5}} => {{1,6},{2,3},{4,7},{5}} {{1,3},{2},{4,6,7},{5}} => {{1,3},{2},{4,6,7},{5}} {{1,3},{2},{4,6},{5,7}} => {{1,3},{2},{4,7},{5,6}} {{1,3},{2},{4,6},{5},{7}} => {{1,3},{2},{4,6},{5},{7}} {{1,3,7},{2},{4},{5,6}} => {{1,3,6},{2},{4},{5,7}} {{1,3},{2,7},{4},{5,6}} => {{1,6},{2,3},{4},{5,7}} {{1,3},{2},{4,7},{5,6}} => {{1,3},{2},{4,6},{5,7}} {{1,3},{2},{4},{5,6,7}} => {{1,3},{2},{4},{5,6,7}} {{1,3},{2},{4},{5,6},{7}} => {{1,3},{2},{4},{5,6},{7}} {{1,3,7},{2},{4},{5},{6}} => {{1,3,7},{2},{4},{5},{6}} {{1,3},{2,7},{4},{5},{6}} => {{1,7},{2,3},{4},{5},{6}} {{1,3},{2},{4,7},{5},{6}} => {{1,3},{2},{4,7},{5},{6}} {{1,3},{2},{4},{5,7},{6}} => {{1,3},{2},{4},{5,7},{6}} {{1,3},{2},{4},{5},{6,7}} => {{1,3},{2},{4},{5},{6,7}} {{1,3},{2},{4},{5},{6},{7}} => {{1,3},{2},{4},{5},{6},{7}} {{1,4,5,6,7},{2,3}} => {{1,3},{2,4,5,6,7}} {{1,4,5,6},{2,3,7}} => {{1,3,5,6},{2,4,7}} {{1,4,5,6},{2,3},{7}} => {{1,3},{2,4,5,6},{7}} {{1,4,5,7},{2,3,6}} => {{1,3,5,7},{2,4,6}} {{1,4,5},{2,3,6,7}} => {{1,3,5},{2,4,6,7}} {{1,4,5},{2,3,6},{7}} => {{1,3,5},{2,4,6},{7}} {{1,4,5,7},{2,3},{6}} => {{1,3},{2,4,5,7},{6}} {{1,4,5},{2,3,7},{6}} => {{1,3,5},{2,4,7},{6}} {{1,4,5},{2,3},{6,7}} => {{1,3},{2,4,5},{6,7}} {{1,4,5},{2,3},{6},{7}} => {{1,3},{2,4,5},{6},{7}} {{1,4,6,7},{2,3,5}} => {{1,3,6,7},{2,4,5}} {{1,4,6},{2,3,5,7}} => {{1,3,7},{2,4,5,6}} {{1,4,6},{2,3,5},{7}} => {{1,3,6},{2,4,5},{7}} {{1,4,7},{2,3,5,6}} => {{1,3,6},{2,4,5,7}} {{1,4},{2,3,5,6,7}} => {{1,3,5,6,7},{2,4}} {{1,4},{2,3,5,6},{7}} => {{1,3,5,6},{2,4},{7}} {{1,4,7},{2,3,5},{6}} => {{1,3,7},{2,4,5},{6}} {{1,4},{2,3,5,7},{6}} => {{1,3,5,7},{2,4},{6}} {{1,4},{2,3,5},{6,7}} => {{1,3,5},{2,4},{6,7}} {{1,4},{2,3,5},{6},{7}} => {{1,3,5},{2,4},{6},{7}} {{1,4,6,7},{2,3},{5}} => {{1,3},{2,4,6,7},{5}} {{1,4,6},{2,3,7},{5}} => {{1,3,6},{2,4,7},{5}} {{1,4,6},{2,3},{5,7}} => {{1,3},{2,4,7},{5,6}} {{1,4,6},{2,3},{5},{7}} => {{1,3},{2,4,6},{5},{7}} {{1,4,7},{2,3,6},{5}} => {{1,3,7},{2,4,6},{5}} {{1,4},{2,3,6,7},{5}} => {{1,3,6,7},{2,4},{5}} {{1,4},{2,3,6},{5,7}} => {{1,3,7},{2,4},{5,6}} {{1,4},{2,3,6},{5},{7}} => {{1,3,6},{2,4},{5},{7}} {{1,4,7},{2,3},{5,6}} => {{1,3},{2,4,6},{5,7}} {{1,4},{2,3,7},{5,6}} => {{1,3,6},{2,4},{5,7}} {{1,4},{2,3},{5,6,7}} => {{1,3},{2,4},{5,6,7}} {{1,4},{2,3},{5,6},{7}} => {{1,3},{2,4},{5,6},{7}} {{1,4,7},{2,3},{5},{6}} => {{1,3},{2,4,7},{5},{6}} {{1,4},{2,3,7},{5},{6}} => {{1,3,7},{2,4},{5},{6}} {{1,4},{2,3},{5,7},{6}} => {{1,3},{2,4},{5,7},{6}} {{1,4},{2,3},{5},{6,7}} => {{1,3},{2,4},{5},{6,7}} {{1,4},{2,3},{5},{6},{7}} => {{1,3},{2,4},{5},{6},{7}} {{1,5,6,7},{2,3,4}} => {{1,3,4},{2,5,6,7}} {{1,5,6},{2,3,4,7}} => {{1,3,4,6},{2,5,7}} {{1,5,6},{2,3,4},{7}} => {{1,3,4},{2,5,6},{7}} {{1,5,7},{2,3,4,6}} => {{1,3,4,7},{2,5,6}} {{1,5},{2,3,4,6,7}} => {{1,3,4,6,7},{2,5}} {{1,5},{2,3,4,6},{7}} => {{1,3,4,6},{2,5},{7}} {{1,5,7},{2,3,4},{6}} => {{1,3,4},{2,5,7},{6}} {{1,5},{2,3,4,7},{6}} => {{1,3,4,7},{2,5},{6}} {{1,5},{2,3,4},{6,7}} => {{1,3,4},{2,5},{6,7}} {{1,5},{2,3,4},{6},{7}} => {{1,3,4},{2,5},{6},{7}} {{1,6,7},{2,3,4,5}} => {{1,3,4,5},{2,6,7}} {{1,6},{2,3,4,5,7}} => {{1,3,4,5,7},{2,6}} {{1,6},{2,3,4,5},{7}} => {{1,3,4,5},{2,6},{7}} {{1,7},{2,3,4,5,6}} => {{1,3,4,5,6},{2,7}} {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}} {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}} {{1,7},{2,3,4,5},{6}} => {{1,3,4,5},{2,7},{6}} {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}} {{1},{2,3,4,5},{6,7}} => {{1},{2,3,4,5},{6,7}} {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}} {{1,6,7},{2,3,4},{5}} => {{1,3,4},{2,6,7},{5}} {{1,6},{2,3,4,7},{5}} => {{1,3,4,7},{2,6},{5}} {{1,6},{2,3,4},{5,7}} => {{1,3,4},{2,7},{5,6}} {{1,6},{2,3,4},{5},{7}} => {{1,3,4},{2,6},{5},{7}} {{1,7},{2,3,4,6},{5}} => {{1,3,4,6},{2,7},{5}} {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}} {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}} {{1},{2,3,4,6},{5},{7}} => {{1},{2,3,4,6},{5},{7}} {{1,7},{2,3,4},{5,6}} => {{1,3,4},{2,6},{5,7}} {{1},{2,3,4,7},{5,6}} => {{1},{2,3,4,6},{5,7}} {{1},{2,3,4},{5,6,7}} => {{1},{2,3,4},{5,6,7}} {{1},{2,3,4},{5,6},{7}} => {{1},{2,3,4},{5,6},{7}} {{1,7},{2,3,4},{5},{6}} => {{1,3,4},{2,7},{5},{6}} {{1},{2,3,4,7},{5},{6}} => {{1},{2,3,4,7},{5},{6}} {{1},{2,3,4},{5,7},{6}} => {{1},{2,3,4},{5,7},{6}} {{1},{2,3,4},{5},{6,7}} => {{1},{2,3,4},{5},{6,7}} {{1},{2,3,4},{5},{6},{7}} => {{1},{2,3,4},{5},{6},{7}} {{1,5,6,7},{2,3},{4}} => {{1,3},{2,5,6,7},{4}} {{1,5,6},{2,3,7},{4}} => {{1,3,6},{2,5,7},{4}} {{1,5,6},{2,3},{4,7}} => {{1,3},{2,6},{4,5,7}} {{1,5,6},{2,3},{4},{7}} => {{1,3},{2,5,6},{4},{7}} {{1,5,7},{2,3,6},{4}} => {{1,3,7},{2,5,6},{4}} {{1,5},{2,3,6,7},{4}} => {{1,3,6,7},{2,5},{4}} {{1,5},{2,3,6},{4,7}} => {{1,3,7},{2,6},{4,5}} {{1,5},{2,3,6},{4},{7}} => {{1,3,6},{2,5},{4},{7}} {{1,5,7},{2,3},{4,6}} => {{1,3},{2,7},{4,5,6}} {{1,5},{2,3,7},{4,6}} => {{1,3,6},{2,7},{4,5}} {{1,5},{2,3},{4,6,7}} => {{1,3},{2,6,7},{4,5}} {{1,5},{2,3},{4,6},{7}} => {{1,3},{2,6},{4,5},{7}} {{1,5,7},{2,3},{4},{6}} => {{1,3},{2,5,7},{4},{6}} {{1,5},{2,3,7},{4},{6}} => {{1,3,7},{2,5},{4},{6}} {{1,5},{2,3},{4,7},{6}} => {{1,3},{2,7},{4,5},{6}} {{1,5},{2,3},{4},{6,7}} => {{1,3},{2,5},{4},{6,7}} {{1,5},{2,3},{4},{6},{7}} => {{1,3},{2,5},{4},{6},{7}} {{1,6,7},{2,3,5},{4}} => {{1,3,5},{2,6,7},{4}} {{1,6},{2,3,5,7},{4}} => {{1,3,5,7},{2,6},{4}} {{1,6},{2,3,5},{4,7}} => {{1,3,7},{2,5},{4,6}} {{1,6},{2,3,5},{4},{7}} => {{1,3,5},{2,6},{4},{7}} {{1,7},{2,3,5,6},{4}} => {{1,3,5,6},{2,7},{4}} {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}} {{1},{2,3,5,6},{4,7}} => {{1},{2,3,6},{4,5,7}} {{1},{2,3,5,6},{4},{7}} => {{1},{2,3,5,6},{4},{7}} {{1,7},{2,3,5},{4,6}} => {{1,3,6},{2,5},{4,7}} {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}} {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}} {{1},{2,3,5},{4,6},{7}} => {{1},{2,3,6},{4,5},{7}} {{1,7},{2,3,5},{4},{6}} => {{1,3,5},{2,7},{4},{6}} {{1},{2,3,5,7},{4},{6}} => {{1},{2,3,5,7},{4},{6}} {{1},{2,3,5},{4,7},{6}} => {{1},{2,3,7},{4,5},{6}} {{1},{2,3,5},{4},{6,7}} => {{1},{2,3,5},{4},{6,7}} {{1},{2,3,5},{4},{6},{7}} => {{1},{2,3,5},{4},{6},{7}} {{1,6,7},{2,3},{4,5}} => {{1,3},{2,5},{4,6,7}} {{1,6},{2,3,7},{4,5}} => {{1,3,5},{2,7},{4,6}} {{1,6},{2,3},{4,5,7}} => {{1,3},{2,5,7},{4,6}} {{1,6},{2,3},{4,5},{7}} => {{1,3},{2,5},{4,6},{7}} {{1,7},{2,3,6},{4,5}} => {{1,3,5},{2,6},{4,7}} {{1},{2,3,6,7},{4,5}} => {{1},{2,3,5},{4,6,7}} {{1},{2,3,6},{4,5,7}} => {{1},{2,3,5,7},{4,6}} {{1},{2,3,6},{4,5},{7}} => {{1},{2,3,5},{4,6},{7}} {{1,7},{2,3},{4,5,6}} => {{1,3},{2,5,6},{4,7}} {{1},{2,3,7},{4,5,6}} => {{1},{2,3,5,6},{4,7}} {{1},{2,3},{4,5,6,7}} => {{1},{2,3},{4,5,6,7}} {{1},{2,3},{4,5,6},{7}} => {{1},{2,3},{4,5,6},{7}} {{1,7},{2,3},{4,5},{6}} => {{1,3},{2,5},{4,7},{6}} {{1},{2,3,7},{4,5},{6}} => {{1},{2,3,5},{4,7},{6}} {{1},{2,3},{4,5,7},{6}} => {{1},{2,3},{4,5,7},{6}} {{1},{2,3},{4,5},{6,7}} => {{1},{2,3},{4,5},{6,7}} {{1},{2,3},{4,5},{6},{7}} => {{1},{2,3},{4,5},{6},{7}} {{1,6,7},{2,3},{4},{5}} => {{1,3},{2,6,7},{4},{5}} {{1,6},{2,3,7},{4},{5}} => {{1,3,7},{2,6},{4},{5}} {{1,6},{2,3},{4,7},{5}} => {{1,3},{2,7},{4,6},{5}} {{1,6},{2,3},{4},{5,7}} => {{1,3},{2,7},{4},{5,6}} {{1,6},{2,3},{4},{5},{7}} => {{1,3},{2,6},{4},{5},{7}} {{1,7},{2,3,6},{4},{5}} => {{1,3,6},{2,7},{4},{5}} {{1},{2,3,6,7},{4},{5}} => {{1},{2,3,6,7},{4},{5}} {{1},{2,3,6},{4,7},{5}} => {{1},{2,3,7},{4,6},{5}} {{1},{2,3,6},{4},{5,7}} => {{1},{2,3,7},{4},{5,6}} {{1},{2,3,6},{4},{5},{7}} => {{1},{2,3,6},{4},{5},{7}} {{1,7},{2,3},{4,6},{5}} => {{1,3},{2,6},{4,7},{5}} {{1},{2,3,7},{4,6},{5}} => {{1},{2,3,6},{4,7},{5}} {{1},{2,3},{4,6,7},{5}} => {{1},{2,3},{4,6,7},{5}} {{1},{2,3},{4,6},{5,7}} => {{1},{2,3},{4,7},{5,6}} {{1},{2,3},{4,6},{5},{7}} => {{1},{2,3},{4,6},{5},{7}} {{1,7},{2,3},{4},{5,6}} => {{1,3},{2,6},{4},{5,7}} {{1},{2,3,7},{4},{5,6}} => {{1},{2,3,6},{4},{5,7}} {{1},{2,3},{4,7},{5,6}} => {{1},{2,3},{4,6},{5,7}} {{1},{2,3},{4},{5,6,7}} => {{1},{2,3},{4},{5,6,7}} {{1},{2,3},{4},{5,6},{7}} => {{1},{2,3},{4},{5,6},{7}} {{1,7},{2,3},{4},{5},{6}} => {{1,3},{2,7},{4},{5},{6}} {{1},{2,3,7},{4},{5},{6}} => {{1},{2,3,7},{4},{5},{6}} {{1},{2,3},{4,7},{5},{6}} => {{1},{2,3},{4,7},{5},{6}} {{1},{2,3},{4},{5,7},{6}} => {{1},{2,3},{4},{5,7},{6}} {{1},{2,3},{4},{5},{6,7}} => {{1},{2,3},{4},{5},{6,7}} {{1},{2,3},{4},{5},{6},{7}} => {{1},{2,3},{4},{5},{6},{7}} {{1,4,5,6,7},{2},{3}} => {{1,4,5,6,7},{2},{3}} {{1,4,5,6},{2,7},{3}} => {{1,5,6},{2,4,7},{3}} {{1,4,5,6},{2},{3,7}} => {{1,5,6},{2},{3,4,7}} {{1,4,5,6},{2},{3},{7}} => {{1,4,5,6},{2},{3},{7}} {{1,4,5,7},{2,6},{3}} => {{1,5,7},{2,4,6},{3}} {{1,4,5},{2,6,7},{3}} => {{1,5},{2,4,6,7},{3}} {{1,4,5},{2,6},{3,7}} => {{1,5},{2,7},{3,4,6}} {{1,4,5},{2,6},{3},{7}} => {{1,5},{2,4,6},{3},{7}} {{1,4,5,7},{2},{3,6}} => {{1,5,7},{2},{3,4,6}} {{1,4,5},{2,7},{3,6}} => {{1,5},{2,6},{3,4,7}} {{1,4,5},{2},{3,6,7}} => {{1,5},{2},{3,4,6,7}} {{1,4,5},{2},{3,6},{7}} => {{1,5},{2},{3,4,6},{7}} {{1,4,5,7},{2},{3},{6}} => {{1,4,5,7},{2},{3},{6}} {{1,4,5},{2,7},{3},{6}} => {{1,5},{2,4,7},{3},{6}} {{1,4,5},{2},{3,7},{6}} => {{1,5},{2},{3,4,7},{6}} {{1,4,5},{2},{3},{6,7}} => {{1,4,5},{2},{3},{6,7}} {{1,4,5},{2},{3},{6},{7}} => {{1,4,5},{2},{3},{6},{7}} {{1,4,6,7},{2,5},{3}} => {{1,6,7},{2,4,5},{3}} {{1,4,6},{2,5,7},{3}} => {{1,7},{2,4,5,6},{3}} {{1,4,6},{2,5},{3,7}} => {{1,6},{2,7},{3,4,5}} {{1,4,6},{2,5},{3},{7}} => {{1,6},{2,4,5},{3},{7}} {{1,4,7},{2,5,6},{3}} => {{1,6},{2,4,5,7},{3}} {{1,4},{2,5,6,7},{3}} => {{1,5,6,7},{2,4},{3}} {{1,4},{2,5,6},{3,7}} => {{1,6},{2,5,7},{3,4}} {{1,4},{2,5,6},{3},{7}} => {{1,5,6},{2,4},{3},{7}} {{1,4,7},{2,5},{3,6}} => {{1,7},{2,6},{3,4,5}} {{1,4},{2,5,7},{3,6}} => {{1,7},{2,5,6},{3,4}} {{1,4},{2,5},{3,6,7}} => {{1,6,7},{2,5},{3,4}} {{1,4},{2,5},{3,6},{7}} => {{1,6},{2,5},{3,4},{7}} {{1,4,7},{2,5},{3},{6}} => {{1,7},{2,4,5},{3},{6}} {{1,4},{2,5,7},{3},{6}} => {{1,5,7},{2,4},{3},{6}} {{1,4},{2,5},{3,7},{6}} => {{1,7},{2,5},{3,4},{6}} {{1,4},{2,5},{3},{6,7}} => {{1,5},{2,4},{3},{6,7}} {{1,4},{2,5},{3},{6},{7}} => {{1,5},{2,4},{3},{6},{7}} {{1,4,6,7},{2},{3,5}} => {{1,6,7},{2},{3,4,5}} {{1,4,6},{2,7},{3,5}} => {{1,6},{2,5},{3,4,7}} {{1,4,6},{2},{3,5,7}} => {{1,7},{2},{3,4,5,6}} {{1,4,6},{2},{3,5},{7}} => {{1,6},{2},{3,4,5},{7}} {{1,4,7},{2,6},{3,5}} => {{1,7},{2,5},{3,4,6}} {{1,4},{2,6,7},{3,5}} => {{1,5},{2,6,7},{3,4}} {{1,4},{2,6},{3,5,7}} => {{1,5,7},{2,6},{3,4}} {{1,4},{2,6},{3,5},{7}} => {{1,5},{2,6},{3,4},{7}} {{1,4,7},{2},{3,5,6}} => {{1,6},{2},{3,4,5,7}} {{1,4},{2,7},{3,5,6}} => {{1,5,6},{2,7},{3,4}} {{1,4},{2},{3,5,6,7}} => {{1,5,6,7},{2},{3,4}} {{1,4},{2},{3,5,6},{7}} => {{1,5,6},{2},{3,4},{7}} {{1,4,7},{2},{3,5},{6}} => {{1,7},{2},{3,4,5},{6}} {{1,4},{2,7},{3,5},{6}} => {{1,5},{2,7},{3,4},{6}} {{1,4},{2},{3,5,7},{6}} => {{1,5,7},{2},{3,4},{6}} {{1,4},{2},{3,5},{6,7}} => {{1,5},{2},{3,4},{6,7}} {{1,4},{2},{3,5},{6},{7}} => {{1,5},{2},{3,4},{6},{7}} {{1,4,6,7},{2},{3},{5}} => {{1,4,6,7},{2},{3},{5}} {{1,4,6},{2,7},{3},{5}} => {{1,6},{2,4,7},{3},{5}} {{1,4,6},{2},{3,7},{5}} => {{1,6},{2},{3,4,7},{5}} {{1,4,6},{2},{3},{5,7}} => {{1,4,7},{2},{3},{5,6}} {{1,4,6},{2},{3},{5},{7}} => {{1,4,6},{2},{3},{5},{7}} {{1,4,7},{2,6},{3},{5}} => {{1,7},{2,4,6},{3},{5}} {{1,4},{2,6,7},{3},{5}} => {{1,6,7},{2,4},{3},{5}} {{1,4},{2,6},{3,7},{5}} => {{1,7},{2,6},{3,4},{5}} {{1,4},{2,6},{3},{5,7}} => {{1,7},{2,4},{3},{5,6}} {{1,4},{2,6},{3},{5},{7}} => {{1,6},{2,4},{3},{5},{7}} {{1,4,7},{2},{3,6},{5}} => {{1,7},{2},{3,4,6},{5}} {{1,4},{2,7},{3,6},{5}} => {{1,6},{2,7},{3,4},{5}} {{1,4},{2},{3,6,7},{5}} => {{1,6,7},{2},{3,4},{5}} {{1,4},{2},{3,6},{5,7}} => {{1,7},{2},{3,4},{5,6}} {{1,4},{2},{3,6},{5},{7}} => {{1,6},{2},{3,4},{5},{7}} {{1,4,7},{2},{3},{5,6}} => {{1,4,6},{2},{3},{5,7}} {{1,4},{2,7},{3},{5,6}} => {{1,6},{2,4},{3},{5,7}} {{1,4},{2},{3,7},{5,6}} => {{1,6},{2},{3,4},{5,7}} {{1,4},{2},{3},{5,6,7}} => {{1,4},{2},{3},{5,6,7}} {{1,4},{2},{3},{5,6},{7}} => {{1,4},{2},{3},{5,6},{7}} {{1,4,7},{2},{3},{5},{6}} => {{1,4,7},{2},{3},{5},{6}} {{1,4},{2,7},{3},{5},{6}} => {{1,7},{2,4},{3},{5},{6}} {{1,4},{2},{3,7},{5},{6}} => {{1,7},{2},{3,4},{5},{6}} {{1,4},{2},{3},{5,7},{6}} => {{1,4},{2},{3},{5,7},{6}} {{1,4},{2},{3},{5},{6,7}} => {{1,4},{2},{3},{5},{6,7}} {{1,4},{2},{3},{5},{6},{7}} => {{1,4},{2},{3},{5},{6},{7}} {{1,5,6,7},{2,4},{3}} => {{1,4},{2,5,6,7},{3}} {{1,5,6},{2,4,7},{3}} => {{1,4,6},{2,5,7},{3}} {{1,5,6},{2,4},{3,7}} => {{1,6},{2,4},{3,5,7}} {{1,5,6},{2,4},{3},{7}} => {{1,4},{2,5,6},{3},{7}} {{1,5,7},{2,4,6},{3}} => {{1,4,7},{2,5,6},{3}} {{1,5},{2,4,6,7},{3}} => {{1,4,6,7},{2,5},{3}} {{1,5},{2,4,6},{3,7}} => {{1,6},{2,4,7},{3,5}} {{1,5},{2,4,6},{3},{7}} => {{1,4,6},{2,5},{3},{7}} {{1,5,7},{2,4},{3,6}} => {{1,7},{2,4},{3,5,6}} {{1,5},{2,4,7},{3,6}} => {{1,7},{2,4,6},{3,5}} {{1,5},{2,4},{3,6,7}} => {{1,6,7},{2,4},{3,5}} {{1,5},{2,4},{3,6},{7}} => {{1,6},{2,4},{3,5},{7}} {{1,5,7},{2,4},{3},{6}} => {{1,4},{2,5,7},{3},{6}} {{1,5},{2,4,7},{3},{6}} => {{1,4,7},{2,5},{3},{6}} {{1,5},{2,4},{3,7},{6}} => {{1,7},{2,4},{3,5},{6}} {{1,5},{2,4},{3},{6,7}} => {{1,4},{2,5},{3},{6,7}} {{1,5},{2,4},{3},{6},{7}} => {{1,4},{2,5},{3},{6},{7}} {{1,6,7},{2,4,5},{3}} => {{1,4,5},{2,6,7},{3}} {{1,6},{2,4,5,7},{3}} => {{1,4,5,7},{2,6},{3}} {{1,6},{2,4,5},{3,7}} => {{1,5},{2,4,7},{3,6}} {{1,6},{2,4,5},{3},{7}} => {{1,4,5},{2,6},{3},{7}} {{1,7},{2,4,5,6},{3}} => {{1,4,5,6},{2,7},{3}} {{1},{2,4,5,6,7},{3}} => {{1},{2,4,5,6,7},{3}} {{1},{2,4,5,6},{3,7}} => {{1},{2,5,6},{3,4,7}} {{1},{2,4,5,6},{3},{7}} => {{1},{2,4,5,6},{3},{7}} {{1,7},{2,4,5},{3,6}} => {{1,5},{2,4,6},{3,7}} {{1},{2,4,5,7},{3,6}} => {{1},{2,5,7},{3,4,6}} {{1},{2,4,5},{3,6,7}} => {{1},{2,5},{3,4,6,7}} {{1},{2,4,5},{3,6},{7}} => {{1},{2,5},{3,4,6},{7}} {{1,7},{2,4,5},{3},{6}} => {{1,4,5},{2,7},{3},{6}} {{1},{2,4,5,7},{3},{6}} => {{1},{2,4,5,7},{3},{6}} {{1},{2,4,5},{3,7},{6}} => {{1},{2,5},{3,4,7},{6}} {{1},{2,4,5},{3},{6,7}} => {{1},{2,4,5},{3},{6,7}} {{1},{2,4,5},{3},{6},{7}} => {{1},{2,4,5},{3},{6},{7}} {{1,6,7},{2,4},{3,5}} => {{1,5},{2,4},{3,6,7}} {{1,6},{2,4,7},{3,5}} => {{1,7},{2,4,5},{3,6}} {{1,6},{2,4},{3,5,7}} => {{1,5,7},{2,4},{3,6}} {{1,6},{2,4},{3,5},{7}} => {{1,5},{2,4},{3,6},{7}} {{1,7},{2,4,6},{3,5}} => {{1,6},{2,4,5},{3,7}} {{1},{2,4,6,7},{3,5}} => {{1},{2,6,7},{3,4,5}} {{1},{2,4,6},{3,5,7}} => {{1},{2,7},{3,4,5,6}} {{1},{2,4,6},{3,5},{7}} => {{1},{2,6},{3,4,5},{7}} {{1,7},{2,4},{3,5,6}} => {{1,5,6},{2,4},{3,7}} {{1},{2,4,7},{3,5,6}} => {{1},{2,6},{3,4,5,7}} {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}} {{1},{2,4},{3,5,6},{7}} => {{1},{2,5,6},{3,4},{7}} {{1,7},{2,4},{3,5},{6}} => {{1,5},{2,4},{3,7},{6}} {{1},{2,4,7},{3,5},{6}} => {{1},{2,7},{3,4,5},{6}} {{1},{2,4},{3,5,7},{6}} => {{1},{2,5,7},{3,4},{6}} {{1},{2,4},{3,5},{6,7}} => {{1},{2,5},{3,4},{6,7}} {{1},{2,4},{3,5},{6},{7}} => {{1},{2,5},{3,4},{6},{7}} {{1,6,7},{2,4},{3},{5}} => {{1,4},{2,6,7},{3},{5}} {{1,6},{2,4,7},{3},{5}} => {{1,4,7},{2,6},{3},{5}} {{1,6},{2,4},{3,7},{5}} => {{1,7},{2,4},{3,6},{5}} {{1,6},{2,4},{3},{5,7}} => {{1,4},{2,7},{3},{5,6}} {{1,6},{2,4},{3},{5},{7}} => {{1,4},{2,6},{3},{5},{7}} {{1,7},{2,4,6},{3},{5}} => {{1,4,6},{2,7},{3},{5}} {{1},{2,4,6,7},{3},{5}} => {{1},{2,4,6,7},{3},{5}} {{1},{2,4,6},{3,7},{5}} => {{1},{2,6},{3,4,7},{5}} {{1},{2,4,6},{3},{5,7}} => {{1},{2,4,7},{3},{5,6}} {{1},{2,4,6},{3},{5},{7}} => {{1},{2,4,6},{3},{5},{7}} {{1,7},{2,4},{3,6},{5}} => {{1,6},{2,4},{3,7},{5}} {{1},{2,4,7},{3,6},{5}} => {{1},{2,7},{3,4,6},{5}} {{1},{2,4},{3,6,7},{5}} => {{1},{2,6,7},{3,4},{5}} {{1},{2,4},{3,6},{5,7}} => {{1},{2,7},{3,4},{5,6}} {{1},{2,4},{3,6},{5},{7}} => {{1},{2,6},{3,4},{5},{7}} {{1,7},{2,4},{3},{5,6}} => {{1,4},{2,6},{3},{5,7}} {{1},{2,4,7},{3},{5,6}} => {{1},{2,4,6},{3},{5,7}} {{1},{2,4},{3,7},{5,6}} => {{1},{2,6},{3,4},{5,7}} {{1},{2,4},{3},{5,6,7}} => {{1},{2,4},{3},{5,6,7}} {{1},{2,4},{3},{5,6},{7}} => {{1},{2,4},{3},{5,6},{7}} {{1,7},{2,4},{3},{5},{6}} => {{1,4},{2,7},{3},{5},{6}} {{1},{2,4,7},{3},{5},{6}} => {{1},{2,4,7},{3},{5},{6}} {{1},{2,4},{3,7},{5},{6}} => {{1},{2,7},{3,4},{5},{6}} {{1},{2,4},{3},{5,7},{6}} => {{1},{2,4},{3},{5,7},{6}} {{1},{2,4},{3},{5},{6,7}} => {{1},{2,4},{3},{5},{6,7}} {{1},{2,4},{3},{5},{6},{7}} => {{1},{2,4},{3},{5},{6},{7}} {{1,5,6,7},{2},{3,4}} => {{1,4},{2},{3,5,6,7}} {{1,5,6},{2,7},{3,4}} => {{1,4},{2,6},{3,5,7}} {{1,5,6},{2},{3,4,7}} => {{1,4,6},{2},{3,5,7}} {{1,5,6},{2},{3,4},{7}} => {{1,4},{2},{3,5,6},{7}} {{1,5,7},{2,6},{3,4}} => {{1,4},{2,7},{3,5,6}} {{1,5},{2,6,7},{3,4}} => {{1,4},{2,6,7},{3,5}} {{1,5},{2,6},{3,4,7}} => {{1,4,7},{2,6},{3,5}} {{1,5},{2,6},{3,4},{7}} => {{1,4},{2,6},{3,5},{7}} {{1,5,7},{2},{3,4,6}} => {{1,4,7},{2},{3,5,6}} {{1,5},{2,7},{3,4,6}} => {{1,4,6},{2,7},{3,5}} {{1,5},{2},{3,4,6,7}} => {{1,4,6,7},{2},{3,5}} {{1,5},{2},{3,4,6},{7}} => {{1,4,6},{2},{3,5},{7}} {{1,5,7},{2},{3,4},{6}} => {{1,4},{2},{3,5,7},{6}} {{1,5},{2,7},{3,4},{6}} => {{1,4},{2,7},{3,5},{6}} {{1,5},{2},{3,4,7},{6}} => {{1,4,7},{2},{3,5},{6}} {{1,5},{2},{3,4},{6,7}} => {{1,4},{2},{3,5},{6,7}} {{1,5},{2},{3,4},{6},{7}} => {{1,4},{2},{3,5},{6},{7}} {{1,6,7},{2,5},{3,4}} => {{1,4},{2,5},{3,6,7}} {{1,6},{2,5,7},{3,4}} => {{1,4},{2,5,7},{3,6}} {{1,6},{2,5},{3,4,7}} => {{1,4,7},{2,5},{3,6}} {{1,6},{2,5},{3,4},{7}} => {{1,4},{2,5},{3,6},{7}} {{1,7},{2,5,6},{3,4}} => {{1,4},{2,5,6},{3,7}} {{1},{2,5,6,7},{3,4}} => {{1},{2,4},{3,5,6,7}} {{1},{2,5,6},{3,4,7}} => {{1},{2,4,6},{3,5,7}} {{1},{2,5,6},{3,4},{7}} => {{1},{2,4},{3,5,6},{7}} {{1,7},{2,5},{3,4,6}} => {{1,4,6},{2,5},{3,7}} {{1},{2,5,7},{3,4,6}} => {{1},{2,4,7},{3,5,6}} {{1},{2,5},{3,4,6,7}} => {{1},{2,4,6,7},{3,5}} {{1},{2,5},{3,4,6},{7}} => {{1},{2,4,6},{3,5},{7}} {{1,7},{2,5},{3,4},{6}} => {{1,4},{2,5},{3,7},{6}} {{1},{2,5,7},{3,4},{6}} => {{1},{2,4},{3,5,7},{6}} {{1},{2,5},{3,4,7},{6}} => {{1},{2,4,7},{3,5},{6}} {{1},{2,5},{3,4},{6,7}} => {{1},{2,4},{3,5},{6,7}} {{1},{2,5},{3,4},{6},{7}} => {{1},{2,4},{3,5},{6},{7}} {{1,6,7},{2},{3,4,5}} => {{1,4,5},{2},{3,6,7}} {{1,6},{2,7},{3,4,5}} => {{1,4,5},{2,7},{3,6}} {{1,6},{2},{3,4,5,7}} => {{1,4,5,7},{2},{3,6}} {{1,6},{2},{3,4,5},{7}} => {{1,4,5},{2},{3,6},{7}} {{1,7},{2,6},{3,4,5}} => {{1,4,5},{2,6},{3,7}} {{1},{2,6,7},{3,4,5}} => {{1},{2,4,5},{3,6,7}} {{1},{2,6},{3,4,5,7}} => {{1},{2,4,5,7},{3,6}} {{1},{2,6},{3,4,5},{7}} => {{1},{2,4,5},{3,6},{7}} {{1,7},{2},{3,4,5,6}} => {{1,4,5,6},{2},{3,7}} {{1},{2,7},{3,4,5,6}} => {{1},{2,4,5,6},{3,7}} {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}} {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}} {{1,7},{2},{3,4,5},{6}} => {{1,4,5},{2},{3,7},{6}} {{1},{2,7},{3,4,5},{6}} => {{1},{2,4,5},{3,7},{6}} {{1},{2},{3,4,5,7},{6}} => {{1},{2},{3,4,5,7},{6}} {{1},{2},{3,4,5},{6,7}} => {{1},{2},{3,4,5},{6,7}} {{1},{2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6},{7}} {{1,6,7},{2},{3,4},{5}} => {{1,4},{2},{3,6,7},{5}} {{1,6},{2,7},{3,4},{5}} => {{1,4},{2,7},{3,6},{5}} {{1,6},{2},{3,4,7},{5}} => {{1,4,7},{2},{3,6},{5}} {{1,6},{2},{3,4},{5,7}} => {{1,4},{2},{3,7},{5,6}} {{1,6},{2},{3,4},{5},{7}} => {{1,4},{2},{3,6},{5},{7}} {{1,7},{2,6},{3,4},{5}} => {{1,4},{2,6},{3,7},{5}} {{1},{2,6,7},{3,4},{5}} => {{1},{2,4},{3,6,7},{5}} {{1},{2,6},{3,4,7},{5}} => {{1},{2,4,7},{3,6},{5}} {{1},{2,6},{3,4},{5,7}} => {{1},{2,4},{3,7},{5,6}} {{1},{2,6},{3,4},{5},{7}} => {{1},{2,4},{3,6},{5},{7}} {{1,7},{2},{3,4,6},{5}} => {{1,4,6},{2},{3,7},{5}} {{1},{2,7},{3,4,6},{5}} => {{1},{2,4,6},{3,7},{5}} {{1},{2},{3,4,6,7},{5}} => {{1},{2},{3,4,6,7},{5}} {{1},{2},{3,4,6},{5,7}} => {{1},{2},{3,4,7},{5,6}} {{1},{2},{3,4,6},{5},{7}} => {{1},{2},{3,4,6},{5},{7}} {{1,7},{2},{3,4},{5,6}} => {{1,4},{2},{3,6},{5,7}} {{1},{2,7},{3,4},{5,6}} => {{1},{2,4},{3,6},{5,7}} {{1},{2},{3,4,7},{5,6}} => {{1},{2},{3,4,6},{5,7}} {{1},{2},{3,4},{5,6,7}} => {{1},{2},{3,4},{5,6,7}} {{1},{2},{3,4},{5,6},{7}} => {{1},{2},{3,4},{5,6},{7}} {{1,7},{2},{3,4},{5},{6}} => {{1,4},{2},{3,7},{5},{6}} {{1},{2,7},{3,4},{5},{6}} => {{1},{2,4},{3,7},{5},{6}} {{1},{2},{3,4,7},{5},{6}} => {{1},{2},{3,4,7},{5},{6}} {{1},{2},{3,4},{5,7},{6}} => {{1},{2},{3,4},{5,7},{6}} {{1},{2},{3,4},{5},{6,7}} => {{1},{2},{3,4},{5},{6,7}} {{1},{2},{3,4},{5},{6},{7}} => {{1},{2},{3,4},{5},{6},{7}} {{1,5,6,7},{2},{3},{4}} => {{1,5,6,7},{2},{3},{4}} {{1,5,6},{2,7},{3},{4}} => {{1,6},{2,5,7},{3},{4}} {{1,5,6},{2},{3,7},{4}} => {{1,6},{2},{3,5,7},{4}} {{1,5,6},{2},{3},{4,7}} => {{1,6},{2},{3},{4,5,7}} {{1,5,6},{2},{3},{4},{7}} => {{1,5,6},{2},{3},{4},{7}} {{1,5,7},{2,6},{3},{4}} => {{1,7},{2,5,6},{3},{4}} {{1,5},{2,6,7},{3},{4}} => {{1,6,7},{2,5},{3},{4}} {{1,5},{2,6},{3,7},{4}} => {{1,7},{2,6},{3,5},{4}} {{1,5},{2,6},{3},{4,7}} => {{1,7},{2,6},{3},{4,5}} {{1,5},{2,6},{3},{4},{7}} => {{1,6},{2,5},{3},{4},{7}} {{1,5,7},{2},{3,6},{4}} => {{1,7},{2},{3,5,6},{4}} {{1,5},{2,7},{3,6},{4}} => {{1,6},{2,7},{3,5},{4}} {{1,5},{2},{3,6,7},{4}} => {{1,6,7},{2},{3,5},{4}} {{1,5},{2},{3,6},{4,7}} => {{1,7},{2},{3,6},{4,5}} {{1,5},{2},{3,6},{4},{7}} => {{1,6},{2},{3,5},{4},{7}} {{1,5,7},{2},{3},{4,6}} => {{1,7},{2},{3},{4,5,6}} {{1,5},{2,7},{3},{4,6}} => {{1,6},{2,7},{3},{4,5}} {{1,5},{2},{3,7},{4,6}} => {{1,6},{2},{3,7},{4,5}} {{1,5},{2},{3},{4,6,7}} => {{1,6,7},{2},{3},{4,5}} {{1,5},{2},{3},{4,6},{7}} => {{1,6},{2},{3},{4,5},{7}} {{1,5,7},{2},{3},{4},{6}} => {{1,5,7},{2},{3},{4},{6}} {{1,5},{2,7},{3},{4},{6}} => {{1,7},{2,5},{3},{4},{6}} {{1,5},{2},{3,7},{4},{6}} => {{1,7},{2},{3,5},{4},{6}} {{1,5},{2},{3},{4,7},{6}} => {{1,7},{2},{3},{4,5},{6}} {{1,5},{2},{3},{4},{6,7}} => {{1,5},{2},{3},{4},{6,7}} {{1,5},{2},{3},{4},{6},{7}} => {{1,5},{2},{3},{4},{6},{7}} {{1,6,7},{2,5},{3},{4}} => {{1,5},{2,6,7},{3},{4}} {{1,6},{2,5,7},{3},{4}} => {{1,5,7},{2,6},{3},{4}} {{1,6},{2,5},{3,7},{4}} => {{1,7},{2,5},{3,6},{4}} {{1,6},{2,5},{3},{4,7}} => {{1,7},{2,5},{3},{4,6}} {{1,6},{2,5},{3},{4},{7}} => {{1,5},{2,6},{3},{4},{7}} {{1,7},{2,5,6},{3},{4}} => {{1,5,6},{2,7},{3},{4}} {{1},{2,5,6,7},{3},{4}} => {{1},{2,5,6,7},{3},{4}} {{1},{2,5,6},{3,7},{4}} => {{1},{2,6},{3,5,7},{4}} {{1},{2,5,6},{3},{4,7}} => {{1},{2,6},{3},{4,5,7}} {{1},{2,5,6},{3},{4},{7}} => {{1},{2,5,6},{3},{4},{7}} {{1,7},{2,5},{3,6},{4}} => {{1,6},{2,5},{3,7},{4}} {{1},{2,5,7},{3,6},{4}} => {{1},{2,7},{3,5,6},{4}} {{1},{2,5},{3,6,7},{4}} => {{1},{2,6,7},{3,5},{4}} {{1},{2,5},{3,6},{4,7}} => {{1},{2,7},{3,6},{4,5}} {{1},{2,5},{3,6},{4},{7}} => {{1},{2,6},{3,5},{4},{7}} {{1,7},{2,5},{3},{4,6}} => {{1,6},{2,5},{3},{4,7}} {{1},{2,5,7},{3},{4,6}} => {{1},{2,7},{3},{4,5,6}} {{1},{2,5},{3,7},{4,6}} => {{1},{2,6},{3,7},{4,5}} {{1},{2,5},{3},{4,6,7}} => {{1},{2,6,7},{3},{4,5}} {{1},{2,5},{3},{4,6},{7}} => {{1},{2,6},{3},{4,5},{7}} {{1,7},{2,5},{3},{4},{6}} => {{1,5},{2,7},{3},{4},{6}} {{1},{2,5,7},{3},{4},{6}} => {{1},{2,5,7},{3},{4},{6}} {{1},{2,5},{3,7},{4},{6}} => {{1},{2,7},{3,5},{4},{6}} {{1},{2,5},{3},{4,7},{6}} => {{1},{2,7},{3},{4,5},{6}} {{1},{2,5},{3},{4},{6,7}} => {{1},{2,5},{3},{4},{6,7}} {{1},{2,5},{3},{4},{6},{7}} => {{1},{2,5},{3},{4},{6},{7}} {{1,6,7},{2},{3,5},{4}} => {{1,5},{2},{3,6,7},{4}} {{1,6},{2,7},{3,5},{4}} => {{1,5},{2,7},{3,6},{4}} {{1,6},{2},{3,5,7},{4}} => {{1,5,7},{2},{3,6},{4}} {{1,6},{2},{3,5},{4,7}} => {{1,7},{2},{3,5},{4,6}} {{1,6},{2},{3,5},{4},{7}} => {{1,5},{2},{3,6},{4},{7}} {{1,7},{2,6},{3,5},{4}} => {{1,5},{2,6},{3,7},{4}} {{1},{2,6,7},{3,5},{4}} => {{1},{2,5},{3,6,7},{4}} {{1},{2,6},{3,5,7},{4}} => {{1},{2,5,7},{3,6},{4}} {{1},{2,6},{3,5},{4,7}} => {{1},{2,7},{3,5},{4,6}} {{1},{2,6},{3,5},{4},{7}} => {{1},{2,5},{3,6},{4},{7}} {{1,7},{2},{3,5,6},{4}} => {{1,5,6},{2},{3,7},{4}} {{1},{2,7},{3,5,6},{4}} => {{1},{2,5,6},{3,7},{4}} {{1},{2},{3,5,6,7},{4}} => {{1},{2},{3,5,6,7},{4}} {{1},{2},{3,5,6},{4,7}} => {{1},{2},{3,6},{4,5,7}} {{1},{2},{3,5,6},{4},{7}} => {{1},{2},{3,5,6},{4},{7}} {{1,7},{2},{3,5},{4,6}} => {{1,6},{2},{3,5},{4,7}} {{1},{2,7},{3,5},{4,6}} => {{1},{2,6},{3,5},{4,7}} {{1},{2},{3,5,7},{4,6}} => {{1},{2},{3,7},{4,5,6}} {{1},{2},{3,5},{4,6,7}} => {{1},{2},{3,6,7},{4,5}} {{1},{2},{3,5},{4,6},{7}} => {{1},{2},{3,6},{4,5},{7}} {{1,7},{2},{3,5},{4},{6}} => {{1,5},{2},{3,7},{4},{6}} {{1},{2,7},{3,5},{4},{6}} => {{1},{2,5},{3,7},{4},{6}} {{1},{2},{3,5,7},{4},{6}} => {{1},{2},{3,5,7},{4},{6}} {{1},{2},{3,5},{4,7},{6}} => {{1},{2},{3,7},{4,5},{6}} {{1},{2},{3,5},{4},{6,7}} => {{1},{2},{3,5},{4},{6,7}} {{1},{2},{3,5},{4},{6},{7}} => {{1},{2},{3,5},{4},{6},{7}} {{1,6,7},{2},{3},{4,5}} => {{1,5},{2},{3},{4,6,7}} {{1,6},{2,7},{3},{4,5}} => {{1,5},{2,7},{3},{4,6}} {{1,6},{2},{3,7},{4,5}} => {{1,5},{2},{3,7},{4,6}} {{1,6},{2},{3},{4,5,7}} => {{1,5,7},{2},{3},{4,6}} {{1,6},{2},{3},{4,5},{7}} => {{1,5},{2},{3},{4,6},{7}} {{1,7},{2,6},{3},{4,5}} => {{1,5},{2,6},{3},{4,7}} {{1},{2,6,7},{3},{4,5}} => {{1},{2,5},{3},{4,6,7}} {{1},{2,6},{3,7},{4,5}} => {{1},{2,5},{3,7},{4,6}} {{1},{2,6},{3},{4,5,7}} => {{1},{2,5,7},{3},{4,6}} {{1},{2,6},{3},{4,5},{7}} => {{1},{2,5},{3},{4,6},{7}} {{1,7},{2},{3,6},{4,5}} => {{1,5},{2},{3,6},{4,7}} {{1},{2,7},{3,6},{4,5}} => {{1},{2,5},{3,6},{4,7}} {{1},{2},{3,6,7},{4,5}} => {{1},{2},{3,5},{4,6,7}} {{1},{2},{3,6},{4,5,7}} => {{1},{2},{3,5,7},{4,6}} {{1},{2},{3,6},{4,5},{7}} => {{1},{2},{3,5},{4,6},{7}} {{1,7},{2},{3},{4,5,6}} => {{1,5,6},{2},{3},{4,7}} {{1},{2,7},{3},{4,5,6}} => {{1},{2,5,6},{3},{4,7}} {{1},{2},{3,7},{4,5,6}} => {{1},{2},{3,5,6},{4,7}} {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}} {{1},{2},{3},{4,5,6},{7}} => {{1},{2},{3},{4,5,6},{7}} {{1,7},{2},{3},{4,5},{6}} => {{1,5},{2},{3},{4,7},{6}} {{1},{2,7},{3},{4,5},{6}} => {{1},{2,5},{3},{4,7},{6}} {{1},{2},{3,7},{4,5},{6}} => {{1},{2},{3,5},{4,7},{6}} {{1},{2},{3},{4,5,7},{6}} => {{1},{2},{3},{4,5,7},{6}} {{1},{2},{3},{4,5},{6,7}} => {{1},{2},{3},{4,5},{6,7}} {{1},{2},{3},{4,5},{6},{7}} => {{1},{2},{3},{4,5},{6},{7}} {{1,6,7},{2},{3},{4},{5}} => {{1,6,7},{2},{3},{4},{5}} {{1,6},{2,7},{3},{4},{5}} => {{1,7},{2,6},{3},{4},{5}} {{1,6},{2},{3,7},{4},{5}} => {{1,7},{2},{3,6},{4},{5}} {{1,6},{2},{3},{4,7},{5}} => {{1,7},{2},{3},{4,6},{5}} {{1,6},{2},{3},{4},{5,7}} => {{1,7},{2},{3},{4},{5,6}} {{1,6},{2},{3},{4},{5},{7}} => {{1,6},{2},{3},{4},{5},{7}} {{1,7},{2,6},{3},{4},{5}} => {{1,6},{2,7},{3},{4},{5}} {{1},{2,6,7},{3},{4},{5}} => {{1},{2,6,7},{3},{4},{5}} {{1},{2,6},{3,7},{4},{5}} => {{1},{2,7},{3,6},{4},{5}} {{1},{2,6},{3},{4,7},{5}} => {{1},{2,7},{3},{4,6},{5}} {{1},{2,6},{3},{4},{5,7}} => {{1},{2,7},{3},{4},{5,6}} {{1},{2,6},{3},{4},{5},{7}} => {{1},{2,6},{3},{4},{5},{7}} {{1,7},{2},{3,6},{4},{5}} => {{1,6},{2},{3,7},{4},{5}} {{1},{2,7},{3,6},{4},{5}} => {{1},{2,6},{3,7},{4},{5}} {{1},{2},{3,6,7},{4},{5}} => {{1},{2},{3,6,7},{4},{5}} {{1},{2},{3,6},{4,7},{5}} => {{1},{2},{3,7},{4,6},{5}} {{1},{2},{3,6},{4},{5,7}} => {{1},{2},{3,7},{4},{5,6}} {{1},{2},{3,6},{4},{5},{7}} => {{1},{2},{3,6},{4},{5},{7}} {{1,7},{2},{3},{4,6},{5}} => {{1,6},{2},{3},{4,7},{5}} {{1},{2,7},{3},{4,6},{5}} => {{1},{2,6},{3},{4,7},{5}} {{1},{2},{3,7},{4,6},{5}} => {{1},{2},{3,6},{4,7},{5}} {{1},{2},{3},{4,6,7},{5}} => {{1},{2},{3},{4,6,7},{5}} {{1},{2},{3},{4,6},{5,7}} => {{1},{2},{3},{4,7},{5,6}} {{1},{2},{3},{4,6},{5},{7}} => {{1},{2},{3},{4,6},{5},{7}} {{1,7},{2},{3},{4},{5,6}} => {{1,6},{2},{3},{4},{5,7}} {{1},{2,7},{3},{4},{5,6}} => {{1},{2,6},{3},{4},{5,7}} {{1},{2},{3,7},{4},{5,6}} => {{1},{2},{3,6},{4},{5,7}} {{1},{2},{3},{4,7},{5,6}} => {{1},{2},{3},{4,6},{5,7}} {{1},{2},{3},{4},{5,6,7}} => {{1},{2},{3},{4},{5,6,7}} {{1},{2},{3},{4},{5,6},{7}} => {{1},{2},{3},{4},{5,6},{7}} {{1,7},{2},{3},{4},{5},{6}} => {{1,7},{2},{3},{4},{5},{6}} {{1},{2,7},{3},{4},{5},{6}} => {{1},{2,7},{3},{4},{5},{6}} {{1},{2},{3,7},{4},{5},{6}} => {{1},{2},{3,7},{4},{5},{6}} {{1},{2},{3},{4,7},{5},{6}} => {{1},{2},{3},{4,7},{5},{6}} {{1},{2},{3},{4},{5,7},{6}} => {{1},{2},{3},{4},{5,7},{6}} {{1},{2},{3},{4},{5},{6,7}} => {{1},{2},{3},{4},{5},{6,7}} {{1},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7}} {{1,2},{3,4},{5,6},{7,8}} => {{1,2},{3,4},{5,6},{7,8}} {{1,3},{2,4},{5,6},{7,8}} => {{1,4},{2,3},{5,6},{7,8}} {{1,4},{2,3},{5,6},{7,8}} => {{1,3},{2,4},{5,6},{7,8}} {{1,5},{2,3},{4,6},{7,8}} => {{1,3},{2,6},{4,5},{7,8}} {{1,6},{2,3},{4,5},{7,8}} => {{1,3},{2,5},{4,6},{7,8}} {{1,7},{2,3},{4,5},{6,8}} => {{1,3},{2,5},{4,8},{6,7}} {{1,8},{2,3},{4,5},{6,7}} => {{1,3},{2,5},{4,7},{6,8}} {{1,8},{2,4},{3,5},{6,7}} => {{1,5},{2,4},{3,7},{6,8}} {{1,7},{2,4},{3,5},{6,8}} => {{1,5},{2,4},{3,8},{6,7}} {{1,6},{2,4},{3,5},{7,8}} => {{1,5},{2,4},{3,6},{7,8}} {{1,5},{2,4},{3,6},{7,8}} => {{1,6},{2,4},{3,5},{7,8}} {{1,4},{2,5},{3,6},{7,8}} => {{1,6},{2,5},{3,4},{7,8}} {{1,3},{2,5},{4,6},{7,8}} => {{1,6},{2,3},{4,5},{7,8}} {{1,2},{3,5},{4,6},{7,8}} => {{1,2},{3,6},{4,5},{7,8}} {{1,2},{3,6},{4,5},{7,8}} => {{1,2},{3,5},{4,6},{7,8}} {{1,3},{2,6},{4,5},{7,8}} => {{1,5},{2,3},{4,6},{7,8}} {{1,4},{2,6},{3,5},{7,8}} => {{1,5},{2,6},{3,4},{7,8}} {{1,5},{2,6},{3,4},{7,8}} => {{1,4},{2,6},{3,5},{7,8}} {{1,6},{2,5},{3,4},{7,8}} => {{1,4},{2,5},{3,6},{7,8}} {{1,7},{2,5},{3,4},{6,8}} => {{1,4},{2,5},{3,8},{6,7}} {{1,8},{2,5},{3,4},{6,7}} => {{1,4},{2,5},{3,7},{6,8}} {{1,8},{2,6},{3,4},{5,7}} => {{1,4},{2,7},{3,6},{5,8}} {{1,7},{2,6},{3,4},{5,8}} => {{1,4},{2,8},{3,6},{5,7}} {{1,6},{2,7},{3,4},{5,8}} => {{1,4},{2,8},{3,7},{5,6}} {{1,5},{2,7},{3,4},{6,8}} => {{1,4},{2,8},{3,5},{6,7}} {{1,4},{2,7},{3,5},{6,8}} => {{1,5},{2,8},{3,4},{6,7}} {{1,3},{2,7},{4,5},{6,8}} => {{1,5},{2,3},{4,8},{6,7}} {{1,2},{3,7},{4,5},{6,8}} => {{1,2},{3,5},{4,8},{6,7}} {{1,2},{3,8},{4,5},{6,7}} => {{1,2},{3,5},{4,7},{6,8}} {{1,3},{2,8},{4,5},{6,7}} => {{1,5},{2,3},{4,7},{6,8}} {{1,4},{2,8},{3,5},{6,7}} => {{1,5},{2,7},{3,4},{6,8}} {{1,5},{2,8},{3,4},{6,7}} => {{1,4},{2,7},{3,5},{6,8}} {{1,6},{2,8},{3,4},{5,7}} => {{1,4},{2,7},{3,8},{5,6}} {{1,7},{2,8},{3,4},{5,6}} => {{1,4},{2,6},{3,8},{5,7}} {{1,8},{2,7},{3,4},{5,6}} => {{1,4},{2,6},{3,7},{5,8}} {{1,8},{2,7},{3,5},{4,6}} => {{1,6},{2,5},{3,7},{4,8}} {{1,7},{2,8},{3,5},{4,6}} => {{1,6},{2,5},{3,8},{4,7}} {{1,6},{2,8},{3,5},{4,7}} => {{1,7},{2,5},{3,8},{4,6}} {{1,5},{2,8},{3,6},{4,7}} => {{1,7},{2,6},{3,8},{4,5}} {{1,4},{2,8},{3,6},{5,7}} => {{1,7},{2,6},{3,4},{5,8}} {{1,3},{2,8},{4,6},{5,7}} => {{1,7},{2,3},{4,6},{5,8}} {{1,2},{3,8},{4,6},{5,7}} => {{1,2},{3,7},{4,6},{5,8}} {{1,2},{3,7},{4,6},{5,8}} => {{1,2},{3,8},{4,6},{5,7}} {{1,3},{2,7},{4,6},{5,8}} => {{1,8},{2,3},{4,6},{5,7}} {{1,4},{2,7},{3,6},{5,8}} => {{1,8},{2,6},{3,4},{5,7}} ----------------------------------------------------------------------------- Created: Feb 27, 2021 at 19:08 by Martin Rubey ----------------------------------------------------------------------------- Last Updated: Feb 27, 2021 at 19:08 by Martin Rubey