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------------------------------------------------------------------------
Map identifier: Mp00218
------------------------------------------------------------------------
Map name: inverse Wachs-White-rho
------------------------------------------------------------------------
Domain: Set partitions
------------------------------------------------------------------------
Codomain: Set partitions
------------------------------------------------------------------------
Description: The inverse of 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 $\rho^{-1}$.
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("rho"), "arcs")
------------------------------------------------------------------------
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}} => {{1,5},{2,3,4}}
{{1,3,4},{2},{5}} => {{1,3,4},{2},{5}}
{{1,3,5},{2,4}} => {{1,4},{2,3,5}}
{{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}} => {{1,3,5},{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}} => {{1,3,4},{2,5}}
{{1,4},{2,3},{5}} => {{1,3},{2,4},{5}}
{{1,5},{2,3,4}} => {{1,3,5},{2,4}}
{{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}} => {{1,2,6},{3,4,5}}
{{1,2,4,5},{3},{6}} => {{1,2,4,5},{3},{6}}
{{1,2,4,6},{3,5}} => {{1,2,5},{3,4,6}}
{{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}} => {{1,2,4,6},{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}} => {{1,2,4,5},{3,6}}
{{1,2,5},{3,4},{6}} => {{1,2,4},{3,5},{6}}
{{1,2,6},{3,4,5}} => {{1,2,4,6},{3,5}}
{{1,2},{3,4,5,6}} => {{1,2},{3,4,5,6}}
{{1,2},{3,4,5},{6}} => {{1,2},{3,4,5},{6}}
{{1,2,6},{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}} => {{1,6},{2,3,4,5}}
{{1,3,4,5},{2},{6}} => {{1,3,4,5},{2},{6}}
{{1,3,4,6},{2,5}} => {{1,5},{2,3,4,6}}
{{1,3,4},{2,5,6}} => {{1,5,6},{2,3,4}}
{{1,3,4},{2,5},{6}} => {{1,5},{2,3,4},{6}}
{{1,3,4,6},{2},{5}} => {{1,3,4,6},{2},{5}}
{{1,3,4},{2,6},{5}} => {{1,6},{2,3,4},{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}} => {{1,4},{2,3,5,6}}
{{1,3,5},{2,4,6}} => {{1,4,5},{2,3,6}}
{{1,3,5},{2,4},{6}} => {{1,4},{2,3,5},{6}}
{{1,3,6},{2,4,5}} => {{1,4,6},{2,3,5}}
{{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}} => {{1,4},{2,3,6},{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}} => {{1,6},{2,3,5},{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}} => {{1,5},{2,3,6},{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}} => {{1,3,4,5},{2,6}}
{{1,4,5},{2,3},{6}} => {{1,3},{2,4,5},{6}}
{{1,4,6},{2,3,5}} => {{1,3,4,6},{2,5}}
{{1,4},{2,3,5,6}} => {{1,3,4},{2,5,6}}
{{1,4},{2,3,5},{6}} => {{1,3,4},{2,5},{6}}
{{1,4,6},{2,3},{5}} => {{1,3},{2,4,6},{5}}
{{1,4},{2,3,6},{5}} => {{1,3,4},{2,6},{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}} => {{1,3,5,6},{2,4}}
{{1,5},{2,3,4,6}} => {{1,3,6},{2,4,5}}
{{1,5},{2,3,4},{6}} => {{1,3,5},{2,4},{6}}
{{1,6},{2,3,4,5}} => {{1,3,5},{2,4,6}}
{{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}} => {{1,3,6},{2,4},{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}}
{{1,5,6},{2,3},{4}} => {{1,3},{2,5,6},{4}}
{{1,5},{2,3,6},{4}} => {{1,3,5},{2,6},{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}} => {{1,3,6},{2,5},{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}} => {{1,6},{2,4,5},{3}}
{{1,4,5},{2},{3,6}} => {{1,6},{2},{3,4,5}}
{{1,4,5},{2},{3},{6}} => {{1,4,5},{2},{3},{6}}
{{1,4,6},{2,5},{3}} => {{1,5},{2,4,6},{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}} => {{1,5},{2},{3,4,6}}
{{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}} => {{1,4,5},{2,6},{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}} => {{1,4,6},{2,5},{3}}
{{1},{2,4,5,6},{3}} => {{1},{2,4,5,6},{3}}
{{1},{2,4,5},{3,6}} => {{1},{2,6},{3,4,5}}
{{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},{2,5},{3,4,6}}
{{1},{2,4},{3,5,6}} => {{1},{2,5,6},{3,4}}
{{1},{2,4},{3,5},{6}} => {{1},{2,5},{3,4},{6}}
{{1,6},{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}} => {{1,4,5},{2},{3,6}}
{{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},{2,4,5},{3,6}}
{{1},{2,5},{3,4},{6}} => {{1},{2,4},{3,5},{6}}
{{1,6},{2},{3,4,5}} => {{1,4,6},{2},{3,5}}
{{1},{2,6},{3,4,5}} => {{1},{2,4,6},{3,5}}
{{1},{2},{3,4,5,6}} => {{1},{2},{3,4,5,6}}
{{1},{2},{3,4,5},{6}} => {{1},{2},{3,4,5},{6}}
{{1,6},{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}} => {{1,2,3,7},{4,5,6}}
{{1,2,3,5,6},{4},{7}} => {{1,2,3,5,6},{4},{7}}
{{1,2,3,5,7},{4,6}} => {{1,2,3,6},{4,5,7}}
{{1,2,3,5},{4,6,7}} => {{1,2,3,6,7},{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}} => {{1,2,3,5,6},{4,7}}
{{1,2,3,6},{4,5},{7}} => {{1,2,3,5},{4,6},{7}}
{{1,2,3,7},{4,5,6}} => {{1,2,3,5,7},{4,6}}
{{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}}
{{1,2,3,7},{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}} => {{1,2,7},{3,4,5,6}}
{{1,2,4,5,6},{3},{7}} => {{1,2,4,5,6},{3},{7}}
{{1,2,4,5,7},{3,6}} => {{1,2,6},{3,4,5,7}}
{{1,2,4,5},{3,6,7}} => {{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}} => {{1,2,4,5,7},{3},{6}}
{{1,2,4,5},{3,7},{6}} => {{1,2,7},{3,4,5},{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}} => {{1,2,5},{3,4,6,7}}
{{1,2,4,6},{3,5,7}} => {{1,2,5,6},{3,4,7}}
{{1,2,4,6},{3,5},{7}} => {{1,2,5},{3,4,6},{7}}
{{1,2,4,7},{3,5,6}} => {{1,2,5,7},{3,4,6}}
{{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}} => {{1,2,5},{3,4,7},{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}} => {{1,2,7},{3,4,6},{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}} => {{1,2,6},{3,4,7},{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}} => {{1,2,4,5,6},{3,7}}
{{1,2,5,6},{3,4},{7}} => {{1,2,4},{3,5,6},{7}}
{{1,2,5,7},{3,4,6}} => {{1,2,4,5,7},{3,6}}
{{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},{3,6},{7}}
{{1,2,5,7},{3,4},{6}} => {{1,2,4},{3,5,7},{6}}
{{1,2,5},{3,4,7},{6}} => {{1,2,4,5},{3,7},{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}} => {{1,2,4,6,7},{3,5}}
{{1,2,6},{3,4,5,7}} => {{1,2,4,7},{3,5,6}}
{{1,2,6},{3,4,5},{7}} => {{1,2,4,6},{3,5},{7}}
{{1,2,7},{3,4,5,6}} => {{1,2,4,6},{3,5,7}}
{{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}} => {{1,2,4,7},{3,5},{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}}
{{1,2,6,7},{3,4},{5}} => {{1,2,4},{3,6,7},{5}}
{{1,2,6},{3,4,7},{5}} => {{1,2,4,6},{3,7},{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}} => {{1,2,4,7},{3,6},{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}} => {{1,2,7},{3,5,6},{4}}
{{1,2,5,6},{3},{4,7}} => {{1,2,7},{3},{4,5,6}}
{{1,2,5,6},{3},{4},{7}} => {{1,2,5,6},{3},{4},{7}}
{{1,2,5,7},{3,6},{4}} => {{1,2,6},{3,5,7},{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}} => {{1,2,6},{3},{4,5,7}}
{{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}} => {{1,2,5,6},{3,7},{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}} => {{1,2,5,7},{3,6},{4}}
{{1,2},{3,5,6,7},{4}} => {{1,2},{3,5,6,7},{4}}
{{1,2},{3,5,6},{4,7}} => {{1,2},{3,7},{4,5,6}}
{{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},{3,6},{4,5,7}}
{{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}}
{{1,2,7},{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}} => {{1,2,5,6},{3},{4,7}}
{{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},{3,5,6},{4,7}}
{{1,2},{3,6},{4,5},{7}} => {{1,2},{3,5},{4,6},{7}}
{{1,2,7},{3},{4,5,6}} => {{1,2,5,7},{3},{4,6}}
{{1,2},{3,7},{4,5,6}} => {{1,2},{3,5,7},{4,6}}
{{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}}
{{1,2,7},{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}} => {{1,7},{2,3,4,5,6}}
{{1,3,4,5,6},{2},{7}} => {{1,3,4,5,6},{2},{7}}
{{1,3,4,5,7},{2,6}} => {{1,6},{2,3,4,5,7}}
{{1,3,4,5},{2,6,7}} => {{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}} => {{1,3,4,5,7},{2},{6}}
{{1,3,4,5},{2,7},{6}} => {{1,7},{2,3,4,5},{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}} => {{1,5},{2,3,4,6,7}}
{{1,3,4,6},{2,5,7}} => {{1,5,6},{2,3,4,7}}
{{1,3,4,6},{2,5},{7}} => {{1,5},{2,3,4,6},{7}}
{{1,3,4,7},{2,5,6}} => {{1,5,7},{2,3,4,6}}
{{1,3,4},{2,5,6,7}} => {{1,5,6,7},{2,3,4}}
{{1,3,4},{2,5,6},{7}} => {{1,5,6},{2,3,4},{7}}
{{1,3,4,7},{2,5},{6}} => {{1,5},{2,3,4,7},{6}}
{{1,3,4},{2,5,7},{6}} => {{1,5,7},{2,3,4},{6}}
{{1,3,4},{2,5},{6,7}} => {{1,5},{2,3,4},{6,7}}
{{1,3,4},{2,5},{6},{7}} => {{1,5},{2,3,4},{6},{7}}
{{1,3,4,6,7},{2},{5}} => {{1,3,4,6,7},{2},{5}}
{{1,3,4,6},{2,7},{5}} => {{1,7},{2,3,4,6},{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}} => {{1,6},{2,3,4,7},{5}}
{{1,3,4},{2,6,7},{5}} => {{1,6,7},{2,3,4},{5}}
{{1,3,4},{2,6},{5,7}} => {{1,7},{2,3,4},{5,6}}
{{1,3,4},{2,6},{5},{7}} => {{1,6},{2,3,4},{5},{7}}
{{1,3,4,7},{2},{5,6}} => {{1,3,4,6},{2},{5,7}}
{{1,3,4},{2,7},{5,6}} => {{1,6},{2,3,4},{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}} => {{1,7},{2,3,4},{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}} => {{1,4},{2,3,5,6,7}}
{{1,3,5,6},{2,4,7}} => {{1,4,5,6},{2,3,7}}
{{1,3,5,6},{2,4},{7}} => {{1,4},{2,3,5,6},{7}}
{{1,3,5,7},{2,4,6}} => {{1,4,5,7},{2,3,6}}
{{1,3,5},{2,4,6,7}} => {{1,4,5},{2,3,6,7}}
{{1,3,5},{2,4,6},{7}} => {{1,4,5},{2,3,6},{7}}
{{1,3,5,7},{2,4},{6}} => {{1,4},{2,3,5,7},{6}}
{{1,3,5},{2,4,7},{6}} => {{1,4,5},{2,3,7},{6}}
{{1,3,5},{2,4},{6,7}} => {{1,4},{2,3,5},{6,7}}
{{1,3,5},{2,4},{6},{7}} => {{1,4},{2,3,5},{6},{7}}
{{1,3,6,7},{2,4,5}} => {{1,4,6,7},{2,3,5}}
{{1,3,6},{2,4,5,7}} => {{1,4,7},{2,3,5,6}}
{{1,3,6},{2,4,5},{7}} => {{1,4,6},{2,3,5},{7}}
{{1,3,7},{2,4,5,6}} => {{1,4,6},{2,3,5,7}}
{{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}} => {{1,4,7},{2,3,5},{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}} => {{1,4},{2,3,6,7},{5}}
{{1,3,6},{2,4,7},{5}} => {{1,4,6},{2,3,7},{5}}
{{1,3,6},{2,4},{5,7}} => {{1,4},{2,3,7},{5,6}}
{{1,3,6},{2,4},{5},{7}} => {{1,4},{2,3,6},{5},{7}}
{{1,3,7},{2,4,6},{5}} => {{1,4,7},{2,3,6},{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}} => {{1,4},{2,3,6},{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}} => {{1,4},{2,3,7},{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}} => {{1,7},{2,3,5,6},{4}}
{{1,3,5,6},{2},{4,7}} => {{1,3,7},{2},{4,5,6}}
{{1,3,5,6},{2},{4},{7}} => {{1,3,5,6},{2},{4},{7}}
{{1,3,5,7},{2,6},{4}} => {{1,6},{2,3,5,7},{4}}
{{1,3,5},{2,6,7},{4}} => {{1,6,7},{2,3,5},{4}}
{{1,3,5},{2,6},{4,7}} => {{1,7},{2,3,6},{4,5}}
{{1,3,5},{2,6},{4},{7}} => {{1,6},{2,3,5},{4},{7}}
{{1,3,5,7},{2},{4,6}} => {{1,3,6},{2},{4,5,7}}
{{1,3,5},{2,7},{4,6}} => {{1,6},{2,3,7},{4,5}}
{{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}} => {{1,7},{2,3,5},{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}} => {{1,5},{2,3,6,7},{4}}
{{1,3,6},{2,5,7},{4}} => {{1,5,6},{2,3,7},{4}}
{{1,3,6},{2,5},{4,7}} => {{1,7},{2,3,5},{4,6}}
{{1,3,6},{2,5},{4},{7}} => {{1,5},{2,3,6},{4},{7}}
{{1,3,7},{2,5,6},{4}} => {{1,5,7},{2,3,6},{4}}
{{1,3},{2,5,6,7},{4}} => {{1,5,6,7},{2,3},{4}}
{{1,3},{2,5,6},{4,7}} => {{1,7},{2,3},{4,5,6}}
{{1,3},{2,5,6},{4},{7}} => {{1,5,6},{2,3},{4},{7}}
{{1,3,7},{2,5},{4,6}} => {{1,6},{2,3,5},{4,7}}
{{1,3},{2,5,7},{4,6}} => {{1,6},{2,3},{4,5,7}}
{{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}} => {{1,5},{2,3,7},{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},{2,3,7},{4,6}}
{{1,3,6},{2},{4,5,7}} => {{1,3,5,6},{2},{4,7}}
{{1,3,6},{2},{4,5},{7}} => {{1,3,5},{2},{4,6},{7}}
{{1,3,7},{2,6},{4,5}} => {{1,5},{2,3,6},{4,7}}
{{1,3},{2,6,7},{4,5}} => {{1,5},{2,3},{4,6,7}}
{{1,3},{2,6},{4,5,7}} => {{1,5,6},{2,3},{4,7}}
{{1,3},{2,6},{4,5},{7}} => {{1,5},{2,3},{4,6},{7}}
{{1,3,7},{2},{4,5,6}} => {{1,3,5,7},{2},{4,6}}
{{1,3},{2,7},{4,5,6}} => {{1,5,7},{2,3},{4,6}}
{{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}}
{{1,3,7},{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}} => {{1,7},{2,3,6},{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}} => {{1,6},{2,3,7},{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}} => {{1,3,4,5,6},{2,7}}
{{1,4,5,6},{2,3},{7}} => {{1,3},{2,4,5,6},{7}}
{{1,4,5,7},{2,3,6}} => {{1,3,4,5,7},{2,6}}
{{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},{2,6},{7}}
{{1,4,5,7},{2,3},{6}} => {{1,3},{2,4,5,7},{6}}
{{1,4,5},{2,3,7},{6}} => {{1,3,4,5},{2,7},{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}} => {{1,3,4,6,7},{2,5}}
{{1,4,6},{2,3,5,7}} => {{1,3,4,7},{2,5,6}}
{{1,4,6},{2,3,5},{7}} => {{1,3,4,6},{2,5},{7}}
{{1,4,7},{2,3,5,6}} => {{1,3,4,6},{2,5,7}}
{{1,4},{2,3,5,6,7}} => {{1,3,4},{2,5,6,7}}
{{1,4},{2,3,5,6},{7}} => {{1,3,4},{2,5,6},{7}}
{{1,4,7},{2,3,5},{6}} => {{1,3,4,7},{2,5},{6}}
{{1,4},{2,3,5,7},{6}} => {{1,3,4},{2,5,7},{6}}
{{1,4},{2,3,5},{6,7}} => {{1,3,4},{2,5},{6,7}}
{{1,4},{2,3,5},{6},{7}} => {{1,3,4},{2,5},{6},{7}}
{{1,4,6,7},{2,3},{5}} => {{1,3},{2,4,6,7},{5}}
{{1,4,6},{2,3,7},{5}} => {{1,3,4,6},{2,7},{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}} => {{1,3,4,7},{2,6},{5}}
{{1,4},{2,3,6,7},{5}} => {{1,3,4},{2,6,7},{5}}
{{1,4},{2,3,6},{5,7}} => {{1,3,4},{2,7},{5,6}}
{{1,4},{2,3,6},{5},{7}} => {{1,3,4},{2,6},{5},{7}}
{{1,4,7},{2,3},{5,6}} => {{1,3},{2,4,6},{5,7}}
{{1,4},{2,3,7},{5,6}} => {{1,3,4},{2,6},{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}} => {{1,3,4},{2,7},{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}} => {{1,3,5,6,7},{2,4}}
{{1,5,6},{2,3,4,7}} => {{1,3,7},{2,4,5,6}}
{{1,5,6},{2,3,4},{7}} => {{1,3,5,6},{2,4},{7}}
{{1,5,7},{2,3,4,6}} => {{1,3,6},{2,4,5,7}}
{{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}} => {{1,3,5,7},{2,4},{6}}
{{1,5},{2,3,4,7},{6}} => {{1,3,7},{2,4,5},{6}}
{{1,5},{2,3,4},{6,7}} => {{1,3,5},{2,4},{6,7}}
{{1,5},{2,3,4},{6},{7}} => {{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}} => {{1,3,5,6},{2,4,7}}
{{1,6},{2,3,4,5},{7}} => {{1,3,5},{2,4,6},{7}}
{{1,7},{2,3,4,5,6}} => {{1,3,5,7},{2,4,6}}
{{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}}
{{1,7},{2,3,4,5},{6}} => {{1,3,5},{2,4,7},{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}} => {{1,3,6,7},{2,4},{5}}
{{1,6},{2,3,4,7},{5}} => {{1,3,7},{2,4,6},{5}}
{{1,6},{2,3,4},{5,7}} => {{1,3,7},{2,4},{5,6}}
{{1,6},{2,3,4},{5},{7}} => {{1,3,6},{2,4},{5},{7}}
{{1,7},{2,3,4,6},{5}} => {{1,3,6},{2,4,7},{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}} => {{1,3,6},{2,4},{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}} => {{1,3,7},{2,4},{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}}
{{1,5,6,7},{2,3},{4}} => {{1,3},{2,5,6,7},{4}}
{{1,5,6},{2,3,7},{4}} => {{1,3,5,6},{2,7},{4}}
{{1,5,6},{2,3},{4,7}} => {{1,3},{2,7},{4,5,6}}
{{1,5,6},{2,3},{4},{7}} => {{1,3},{2,5,6},{4},{7}}
{{1,5,7},{2,3,6},{4}} => {{1,3,5,7},{2,6},{4}}
{{1,5},{2,3,6,7},{4}} => {{1,3,5},{2,6,7},{4}}
{{1,5},{2,3,6},{4,7}} => {{1,3,6},{2,7},{4,5}}
{{1,5},{2,3,6},{4},{7}} => {{1,3,5},{2,6},{4},{7}}
{{1,5,7},{2,3},{4,6}} => {{1,3},{2,6},{4,5,7}}
{{1,5},{2,3,7},{4,6}} => {{1,3,7},{2,6},{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}} => {{1,3,5},{2,7},{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}} => {{1,3,6,7},{2,5},{4}}
{{1,6},{2,3,5,7},{4}} => {{1,3,7},{2,5,6},{4}}
{{1,6},{2,3,5},{4,7}} => {{1,3,5},{2,7},{4,6}}
{{1,6},{2,3,5},{4},{7}} => {{1,3,6},{2,5},{4},{7}}
{{1,7},{2,3,5,6},{4}} => {{1,3,6},{2,5,7},{4}}
{{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
{{1},{2,3,5,6},{4,7}} => {{1},{2,3,7},{4,5,6}}
{{1},{2,3,5,6},{4},{7}} => {{1},{2,3,5,6},{4},{7}}
{{1,7},{2,3,5},{4,6}} => {{1,3,5},{2,6},{4,7}}
{{1},{2,3,5,7},{4,6}} => {{1},{2,3,6},{4,5,7}}
{{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
{{1},{2,3,5},{4,6},{7}} => {{1},{2,3,6},{4,5},{7}}
{{1,7},{2,3,5},{4},{6}} => {{1,3,7},{2,5},{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}} => {{1,3,7},{2,5},{4,6}}
{{1,6},{2,3},{4,5,7}} => {{1,3},{2,5,6},{4,7}}
{{1,6},{2,3},{4,5},{7}} => {{1,3},{2,5},{4,6},{7}}
{{1,7},{2,3,6},{4,5}} => {{1,3,6},{2,5},{4,7}}
{{1},{2,3,6,7},{4,5}} => {{1},{2,3,5},{4,6,7}}
{{1},{2,3,6},{4,5,7}} => {{1},{2,3,5,6},{4,7}}
{{1},{2,3,6},{4,5},{7}} => {{1},{2,3,5},{4,6},{7}}
{{1,7},{2,3},{4,5,6}} => {{1,3},{2,5,7},{4,6}}
{{1},{2,3,7},{4,5,6}} => {{1},{2,3,5,7},{4,6}}
{{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}}
{{1,7},{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}} => {{1,3,6},{2,7},{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}} => {{1,3,7},{2,6},{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}} => {{1,7},{2,4,5,6},{3}}
{{1,4,5,6},{2},{3,7}} => {{1,7},{2},{3,4,5,6}}
{{1,4,5,6},{2},{3},{7}} => {{1,4,5,6},{2},{3},{7}}
{{1,4,5,7},{2,6},{3}} => {{1,6},{2,4,5,7},{3}}
{{1,4,5},{2,6,7},{3}} => {{1,6,7},{2,4,5},{3}}
{{1,4,5},{2,6},{3,7}} => {{1,7},{2,6},{3,4,5}}
{{1,4,5},{2,6},{3},{7}} => {{1,6},{2,4,5},{3},{7}}
{{1,4,5,7},{2},{3,6}} => {{1,6},{2},{3,4,5,7}}
{{1,4,5},{2,7},{3,6}} => {{1,6},{2,7},{3,4,5}}
{{1,4,5},{2},{3,6,7}} => {{1,6,7},{2},{3,4,5}}
{{1,4,5},{2},{3,6},{7}} => {{1,6},{2},{3,4,5},{7}}
{{1,4,5,7},{2},{3},{6}} => {{1,4,5,7},{2},{3},{6}}
{{1,4,5},{2,7},{3},{6}} => {{1,7},{2,4,5},{3},{6}}
{{1,4,5},{2},{3,7},{6}} => {{1,7},{2},{3,4,5},{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}} => {{1,5},{2,4,6,7},{3}}
{{1,4,6},{2,5,7},{3}} => {{1,5,6},{2,4,7},{3}}
{{1,4,6},{2,5},{3,7}} => {{1,7},{2,5},{3,4,6}}
{{1,4,6},{2,5},{3},{7}} => {{1,5},{2,4,6},{3},{7}}
{{1,4,7},{2,5,6},{3}} => {{1,5,7},{2,4,6},{3}}
{{1,4},{2,5,6,7},{3}} => {{1,5,6,7},{2,4},{3}}
{{1,4},{2,5,6},{3,7}} => {{1,7},{2,5,6},{3,4}}
{{1,4},{2,5,6},{3},{7}} => {{1,5,6},{2,4},{3},{7}}
{{1,4,7},{2,5},{3,6}} => {{1,6},{2,5},{3,4,7}}
{{1,4},{2,5,7},{3,6}} => {{1,6},{2,5,7},{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}} => {{1,5},{2,4,7},{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}} => {{1,5},{2},{3,4,6,7}}
{{1,4,6},{2,7},{3,5}} => {{1,5},{2,7},{3,4,6}}
{{1,4,6},{2},{3,5,7}} => {{1,5,6},{2},{3,4,7}}
{{1,4,6},{2},{3,5},{7}} => {{1,5},{2},{3,4,6},{7}}
{{1,4,7},{2,6},{3,5}} => {{1,5},{2,6},{3,4,7}}
{{1,4},{2,6,7},{3,5}} => {{1,5},{2,6,7},{3,4}}
{{1,4},{2,6},{3,5,7}} => {{1,5,6},{2,7},{3,4}}
{{1,4},{2,6},{3,5},{7}} => {{1,5},{2,6},{3,4},{7}}
{{1,4,7},{2},{3,5,6}} => {{1,5,7},{2},{3,4,6}}
{{1,4},{2,7},{3,5,6}} => {{1,5,7},{2,6},{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}} => {{1,5},{2},{3,4,7},{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}} => {{1,7},{2,4,6},{3},{5}}
{{1,4,6},{2},{3,7},{5}} => {{1,7},{2},{3,4,6},{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}} => {{1,6},{2,4,7},{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}} => {{1,6},{2},{3,4,7},{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}} => {{1,4,5,6},{2,7},{3}}
{{1,5,6},{2,4},{3,7}} => {{1,7},{2,4},{3,5,6}}
{{1,5,6},{2,4},{3},{7}} => {{1,4},{2,5,6},{3},{7}}
{{1,5,7},{2,4,6},{3}} => {{1,4,5,7},{2,6},{3}}
{{1,5},{2,4,6,7},{3}} => {{1,4,5},{2,6,7},{3}}
{{1,5},{2,4,6},{3,7}} => {{1,7},{2,4,5},{3,6}}
{{1,5},{2,4,6},{3},{7}} => {{1,4,5},{2,6},{3},{7}}
{{1,5,7},{2,4},{3,6}} => {{1,6},{2,4},{3,5,7}}
{{1,5},{2,4,7},{3,6}} => {{1,6},{2,4,5},{3,7}}
{{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}} => {{1,4,5},{2,7},{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}} => {{1,4,6,7},{2,5},{3}}
{{1,6},{2,4,5,7},{3}} => {{1,4,7},{2,5,6},{3}}
{{1,6},{2,4,5},{3,7}} => {{1,7},{2,4,6},{3,5}}
{{1,6},{2,4,5},{3},{7}} => {{1,4,6},{2,5},{3},{7}}
{{1,7},{2,4,5,6},{3}} => {{1,4,6},{2,5,7},{3}}
{{1},{2,4,5,6,7},{3}} => {{1},{2,4,5,6,7},{3}}
{{1},{2,4,5,6},{3,7}} => {{1},{2,7},{3,4,5,6}}
{{1},{2,4,5,6},{3},{7}} => {{1},{2,4,5,6},{3},{7}}
{{1,7},{2,4,5},{3,6}} => {{1,6},{2,4,7},{3,5}}
{{1},{2,4,5,7},{3,6}} => {{1},{2,6},{3,4,5,7}}
{{1},{2,4,5},{3,6,7}} => {{1},{2,6,7},{3,4,5}}
{{1},{2,4,5},{3,6},{7}} => {{1},{2,6},{3,4,5},{7}}
{{1,7},{2,4,5},{3},{6}} => {{1,4,7},{2,5},{3},{6}}
{{1},{2,4,5,7},{3},{6}} => {{1},{2,4,5,7},{3},{6}}
{{1},{2,4,5},{3,7},{6}} => {{1},{2,7},{3,4,5},{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}} => {{1,5},{2,4,6},{3,7}}
{{1,6},{2,4},{3,5,7}} => {{1,5,6},{2,4},{3,7}}
{{1,6},{2,4},{3,5},{7}} => {{1,5},{2,4},{3,6},{7}}
{{1,7},{2,4,6},{3,5}} => {{1,5},{2,4,7},{3,6}}
{{1},{2,4,6,7},{3,5}} => {{1},{2,5},{3,4,6,7}}
{{1},{2,4,6},{3,5,7}} => {{1},{2,5,6},{3,4,7}}
{{1},{2,4,6},{3,5},{7}} => {{1},{2,5},{3,4,6},{7}}
{{1,7},{2,4},{3,5,6}} => {{1,5,7},{2,4},{3,6}}
{{1},{2,4,7},{3,5,6}} => {{1},{2,5,7},{3,4,6}}
{{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},{2,5},{3,4,7},{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}} => {{1,4,6},{2,7},{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}} => {{1,4,7},{2,6},{3},{5}}
{{1},{2,4,6,7},{3},{5}} => {{1},{2,4,6,7},{3},{5}}
{{1},{2,4,6},{3,7},{5}} => {{1},{2,7},{3,4,6},{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},{2,6},{3,4,7},{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},{2,7},{3,5,6}}
{{1,5,6},{2},{3,4,7}} => {{1,4,5,6},{2},{3,7}}
{{1,5,6},{2},{3,4},{7}} => {{1,4},{2},{3,5,6},{7}}
{{1,5,7},{2,6},{3,4}} => {{1,4},{2,6},{3,5,7}}
{{1,5},{2,6,7},{3,4}} => {{1,4},{2,6,7},{3,5}}
{{1,5},{2,6},{3,4,7}} => {{1,4,5},{2,7},{3,6}}
{{1,5},{2,6},{3,4},{7}} => {{1,4},{2,6},{3,5},{7}}
{{1,5,7},{2},{3,4,6}} => {{1,4,5,7},{2},{3,6}}
{{1,5},{2,7},{3,4,6}} => {{1,4,5},{2,6},{3,7}}
{{1,5},{2},{3,4,6,7}} => {{1,4,5},{2},{3,6,7}}
{{1,5},{2},{3,4,6},{7}} => {{1,4,5},{2},{3,6},{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}} => {{1,4,5},{2},{3,7},{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},{2,5,6},{3,7}}
{{1,6},{2,5},{3,4,7}} => {{1,4,6},{2,7},{3,5}}
{{1,6},{2,5},{3,4},{7}} => {{1,4},{2,5},{3,6},{7}}
{{1,7},{2,5,6},{3,4}} => {{1,4},{2,5,7},{3,6}}
{{1},{2,5,6,7},{3,4}} => {{1},{2,4},{3,5,6,7}}
{{1},{2,5,6},{3,4,7}} => {{1},{2,4,5,6},{3,7}}
{{1},{2,5,6},{3,4},{7}} => {{1},{2,4},{3,5,6},{7}}
{{1,7},{2,5},{3,4,6}} => {{1,4,7},{2,6},{3,5}}
{{1},{2,5,7},{3,4,6}} => {{1},{2,4,5,7},{3,6}}
{{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},{3,6},{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},{2,4,5},{3,7},{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}} => {{1,4,6,7},{2},{3,5}}
{{1,6},{2,7},{3,4,5}} => {{1,4,6},{2,5},{3,7}}
{{1,6},{2},{3,4,5,7}} => {{1,4,7},{2},{3,5,6}}
{{1,6},{2},{3,4,5},{7}} => {{1,4,6},{2},{3,5},{7}}
{{1,7},{2,6},{3,4,5}} => {{1,4,7},{2,5},{3,6}}
{{1},{2,6,7},{3,4,5}} => {{1},{2,4,6,7},{3,5}}
{{1},{2,6},{3,4,5,7}} => {{1},{2,4,7},{3,5,6}}
{{1},{2,6},{3,4,5},{7}} => {{1},{2,4,6},{3,5},{7}}
{{1,7},{2},{3,4,5,6}} => {{1,4,6},{2},{3,5,7}}
{{1},{2,7},{3,4,5,6}} => {{1},{2,4,6},{3,5,7}}
{{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}} => {{1,4,7},{2},{3,5},{6}}
{{1},{2,7},{3,4,5},{6}} => {{1},{2,4,7},{3,5},{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}}
{{1,6,7},{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}} => {{1,4,6},{2},{3,7},{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},{2,4,6},{3,7},{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}} => {{1,4,7},{2},{3,6},{5}}
{{1},{2,7},{3,4,6},{5}} => {{1},{2,4,7},{3,6},{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}} => {{1,7},{2,5,6},{3},{4}}
{{1,5,6},{2},{3,7},{4}} => {{1,7},{2},{3,5,6},{4}}
{{1,5,6},{2},{3},{4,7}} => {{1,7},{2},{3},{4,5,6}}
{{1,5,6},{2},{3},{4},{7}} => {{1,5,6},{2},{3},{4},{7}}
{{1,5,7},{2,6},{3},{4}} => {{1,6},{2,5,7},{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}} => {{1,6},{2},{3,5,7},{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}} => {{1,6},{2},{3},{4,5,7}}
{{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}} => {{1,5,6},{2,7},{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}} => {{1,5,7},{2,6},{3},{4}}
{{1},{2,5,6,7},{3},{4}} => {{1},{2,5,6,7},{3},{4}}
{{1},{2,5,6},{3,7},{4}} => {{1},{2,7},{3,5,6},{4}}
{{1},{2,5,6},{3},{4,7}} => {{1},{2,7},{3},{4,5,6}}
{{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},{2,6},{3,5,7},{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},{2,6},{3},{4,5,7}}
{{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}} => {{1,5,6},{2},{3,7},{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},{2,5,6},{3,7},{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}} => {{1,5,7},{2},{3,6},{4}}
{{1},{2,7},{3,5,6},{4}} => {{1},{2,5,7},{3,6},{4}}
{{1},{2},{3,5,6,7},{4}} => {{1},{2},{3,5,6,7},{4}}
{{1},{2},{3,5,6},{4,7}} => {{1},{2},{3,7},{4,5,6}}
{{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},{3,6},{4,5,7}}
{{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}}
{{1,7},{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}} => {{1,5,6},{2},{3},{4,7}}
{{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},{2,5,6},{3},{4,7}}
{{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},{3,5,6},{4,7}}
{{1},{2},{3,6},{4,5},{7}} => {{1},{2},{3,5},{4,6},{7}}
{{1,7},{2},{3},{4,5,6}} => {{1,5,7},{2},{3},{4,6}}
{{1},{2,7},{3},{4,5,6}} => {{1},{2,5,7},{3},{4,6}}
{{1},{2},{3,7},{4,5,6}} => {{1},{2},{3,5,7},{4,6}}
{{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}}
{{1,7},{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}}
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Created: Feb 27, 2021 at 19:14 by Martin Rubey
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Last Updated: Feb 27, 2021 at 19:14 by Martin Rubey