Identifier
Mp00288:
Ordered set partitions
—reverse⟶
Ordered set partitions
Mp00287: Ordered set partitions —to composition⟶ Integer compositions
Mp00287: Ordered set partitions —to composition⟶ Integer compositions
Images
=>
[{1}]=>[{1}]=>[1]
[{1},{2}]=>[{2},{1}]=>[1,1]
[{2},{1}]=>[{1},{2}]=>[1,1]
[{1,2}]=>[{1,2}]=>[2]
[{1},{2},{3}]=>[{3},{2},{1}]=>[1,1,1]
[{1},{3},{2}]=>[{2},{3},{1}]=>[1,1,1]
[{2},{1},{3}]=>[{3},{1},{2}]=>[1,1,1]
[{3},{1},{2}]=>[{2},{1},{3}]=>[1,1,1]
[{2},{3},{1}]=>[{1},{3},{2}]=>[1,1,1]
[{3},{2},{1}]=>[{1},{2},{3}]=>[1,1,1]
[{1},{2,3}]=>[{2,3},{1}]=>[2,1]
[{2},{1,3}]=>[{1,3},{2}]=>[2,1]
[{3},{1,2}]=>[{1,2},{3}]=>[2,1]
[{1,2},{3}]=>[{3},{1,2}]=>[1,2]
[{1,3},{2}]=>[{2},{1,3}]=>[1,2]
[{2,3},{1}]=>[{1},{2,3}]=>[1,2]
[{1,2,3}]=>[{1,2,3}]=>[3]
[{1},{2},{3},{4}]=>[{4},{3},{2},{1}]=>[1,1,1,1]
[{1},{2},{4},{3}]=>[{3},{4},{2},{1}]=>[1,1,1,1]
[{1},{3},{2},{4}]=>[{4},{2},{3},{1}]=>[1,1,1,1]
[{1},{4},{2},{3}]=>[{3},{2},{4},{1}]=>[1,1,1,1]
[{1},{3},{4},{2}]=>[{2},{4},{3},{1}]=>[1,1,1,1]
[{1},{4},{3},{2}]=>[{2},{3},{4},{1}]=>[1,1,1,1]
[{2},{1},{3},{4}]=>[{4},{3},{1},{2}]=>[1,1,1,1]
[{2},{1},{4},{3}]=>[{3},{4},{1},{2}]=>[1,1,1,1]
[{3},{1},{2},{4}]=>[{4},{2},{1},{3}]=>[1,1,1,1]
[{4},{1},{2},{3}]=>[{3},{2},{1},{4}]=>[1,1,1,1]
[{3},{1},{4},{2}]=>[{2},{4},{1},{3}]=>[1,1,1,1]
[{4},{1},{3},{2}]=>[{2},{3},{1},{4}]=>[1,1,1,1]
[{2},{3},{1},{4}]=>[{4},{1},{3},{2}]=>[1,1,1,1]
[{2},{4},{1},{3}]=>[{3},{1},{4},{2}]=>[1,1,1,1]
[{3},{2},{1},{4}]=>[{4},{1},{2},{3}]=>[1,1,1,1]
[{4},{2},{1},{3}]=>[{3},{1},{2},{4}]=>[1,1,1,1]
[{3},{4},{1},{2}]=>[{2},{1},{4},{3}]=>[1,1,1,1]
[{4},{3},{1},{2}]=>[{2},{1},{3},{4}]=>[1,1,1,1]
[{2},{3},{4},{1}]=>[{1},{4},{3},{2}]=>[1,1,1,1]
[{2},{4},{3},{1}]=>[{1},{3},{4},{2}]=>[1,1,1,1]
[{3},{2},{4},{1}]=>[{1},{4},{2},{3}]=>[1,1,1,1]
[{4},{2},{3},{1}]=>[{1},{3},{2},{4}]=>[1,1,1,1]
[{3},{4},{2},{1}]=>[{1},{2},{4},{3}]=>[1,1,1,1]
[{4},{3},{2},{1}]=>[{1},{2},{3},{4}]=>[1,1,1,1]
[{1},{2},{3,4}]=>[{3,4},{2},{1}]=>[2,1,1]
[{1},{3},{2,4}]=>[{2,4},{3},{1}]=>[2,1,1]
[{1},{4},{2,3}]=>[{2,3},{4},{1}]=>[2,1,1]
[{2},{1},{3,4}]=>[{3,4},{1},{2}]=>[2,1,1]
[{3},{1},{2,4}]=>[{2,4},{1},{3}]=>[2,1,1]
[{4},{1},{2,3}]=>[{2,3},{1},{4}]=>[2,1,1]
[{2},{3},{1,4}]=>[{1,4},{3},{2}]=>[2,1,1]
[{2},{4},{1,3}]=>[{1,3},{4},{2}]=>[2,1,1]
[{3},{2},{1,4}]=>[{1,4},{2},{3}]=>[2,1,1]
[{4},{2},{1,3}]=>[{1,3},{2},{4}]=>[2,1,1]
[{3},{4},{1,2}]=>[{1,2},{4},{3}]=>[2,1,1]
[{4},{3},{1,2}]=>[{1,2},{3},{4}]=>[2,1,1]
[{1},{2,3},{4}]=>[{4},{2,3},{1}]=>[1,2,1]
[{1},{2,4},{3}]=>[{3},{2,4},{1}]=>[1,2,1]
[{1},{3,4},{2}]=>[{2},{3,4},{1}]=>[1,2,1]
[{2},{1,3},{4}]=>[{4},{1,3},{2}]=>[1,2,1]
[{2},{1,4},{3}]=>[{3},{1,4},{2}]=>[1,2,1]
[{3},{1,2},{4}]=>[{4},{1,2},{3}]=>[1,2,1]
[{4},{1,2},{3}]=>[{3},{1,2},{4}]=>[1,2,1]
[{3},{1,4},{2}]=>[{2},{1,4},{3}]=>[1,2,1]
[{4},{1,3},{2}]=>[{2},{1,3},{4}]=>[1,2,1]
[{2},{3,4},{1}]=>[{1},{3,4},{2}]=>[1,2,1]
[{3},{2,4},{1}]=>[{1},{2,4},{3}]=>[1,2,1]
[{4},{2,3},{1}]=>[{1},{2,3},{4}]=>[1,2,1]
[{1},{2,3,4}]=>[{2,3,4},{1}]=>[3,1]
[{2},{1,3,4}]=>[{1,3,4},{2}]=>[3,1]
[{3},{1,2,4}]=>[{1,2,4},{3}]=>[3,1]
[{4},{1,2,3}]=>[{1,2,3},{4}]=>[3,1]
[{1,2},{3},{4}]=>[{4},{3},{1,2}]=>[1,1,2]
[{1,2},{4},{3}]=>[{3},{4},{1,2}]=>[1,1,2]
[{1,3},{2},{4}]=>[{4},{2},{1,3}]=>[1,1,2]
[{1,4},{2},{3}]=>[{3},{2},{1,4}]=>[1,1,2]
[{1,3},{4},{2}]=>[{2},{4},{1,3}]=>[1,1,2]
[{1,4},{3},{2}]=>[{2},{3},{1,4}]=>[1,1,2]
[{2,3},{1},{4}]=>[{4},{1},{2,3}]=>[1,1,2]
[{2,4},{1},{3}]=>[{3},{1},{2,4}]=>[1,1,2]
[{3,4},{1},{2}]=>[{2},{1},{3,4}]=>[1,1,2]
[{2,3},{4},{1}]=>[{1},{4},{2,3}]=>[1,1,2]
[{2,4},{3},{1}]=>[{1},{3},{2,4}]=>[1,1,2]
[{3,4},{2},{1}]=>[{1},{2},{3,4}]=>[1,1,2]
[{1,2},{3,4}]=>[{3,4},{1,2}]=>[2,2]
[{1,3},{2,4}]=>[{2,4},{1,3}]=>[2,2]
[{1,4},{2,3}]=>[{2,3},{1,4}]=>[2,2]
[{2,3},{1,4}]=>[{1,4},{2,3}]=>[2,2]
[{2,4},{1,3}]=>[{1,3},{2,4}]=>[2,2]
[{3,4},{1,2}]=>[{1,2},{3,4}]=>[2,2]
[{1,2,3},{4}]=>[{4},{1,2,3}]=>[1,3]
[{1,2,4},{3}]=>[{3},{1,2,4}]=>[1,3]
[{1,3,4},{2}]=>[{2},{1,3,4}]=>[1,3]
[{2,3,4},{1}]=>[{1},{2,3,4}]=>[1,3]
[{1,2,3,4}]=>[{1,2,3,4}]=>[4]
[{1},{2},{3},{4},{5}]=>[{5},{4},{3},{2},{1}]=>[1,1,1,1,1]
[{1},{2},{3},{5},{4}]=>[{4},{5},{3},{2},{1}]=>[1,1,1,1,1]
[{1},{2},{4},{3},{5}]=>[{5},{3},{4},{2},{1}]=>[1,1,1,1,1]
[{1},{2},{5},{3},{4}]=>[{4},{3},{5},{2},{1}]=>[1,1,1,1,1]
[{1},{2},{4},{5},{3}]=>[{3},{5},{4},{2},{1}]=>[1,1,1,1,1]
[{1},{2},{5},{4},{3}]=>[{3},{4},{5},{2},{1}]=>[1,1,1,1,1]
[{1},{3},{2},{4},{5}]=>[{5},{4},{2},{3},{1}]=>[1,1,1,1,1]
[{1},{3},{2},{5},{4}]=>[{4},{5},{2},{3},{1}]=>[1,1,1,1,1]
[{1},{4},{2},{3},{5}]=>[{5},{3},{2},{4},{1}]=>[1,1,1,1,1]
[{1},{5},{2},{3},{4}]=>[{4},{3},{2},{5},{1}]=>[1,1,1,1,1]
[{1},{4},{2},{5},{3}]=>[{3},{5},{2},{4},{1}]=>[1,1,1,1,1]
[{1},{5},{2},{4},{3}]=>[{3},{4},{2},{5},{1}]=>[1,1,1,1,1]
[{1},{3},{4},{2},{5}]=>[{5},{2},{4},{3},{1}]=>[1,1,1,1,1]
[{1},{3},{5},{2},{4}]=>[{4},{2},{5},{3},{1}]=>[1,1,1,1,1]
[{1},{4},{3},{2},{5}]=>[{5},{2},{3},{4},{1}]=>[1,1,1,1,1]
[{1},{5},{3},{2},{4}]=>[{4},{2},{3},{5},{1}]=>[1,1,1,1,1]
[{1},{4},{5},{2},{3}]=>[{3},{2},{5},{4},{1}]=>[1,1,1,1,1]
[{1},{5},{4},{2},{3}]=>[{3},{2},{4},{5},{1}]=>[1,1,1,1,1]
[{1},{3},{4},{5},{2}]=>[{2},{5},{4},{3},{1}]=>[1,1,1,1,1]
[{1},{3},{5},{4},{2}]=>[{2},{4},{5},{3},{1}]=>[1,1,1,1,1]
[{1},{4},{3},{5},{2}]=>[{2},{5},{3},{4},{1}]=>[1,1,1,1,1]
[{1},{5},{3},{4},{2}]=>[{2},{4},{3},{5},{1}]=>[1,1,1,1,1]
[{1},{4},{5},{3},{2}]=>[{2},{3},{5},{4},{1}]=>[1,1,1,1,1]
[{1},{5},{4},{3},{2}]=>[{2},{3},{4},{5},{1}]=>[1,1,1,1,1]
[{2},{1},{3},{4},{5}]=>[{5},{4},{3},{1},{2}]=>[1,1,1,1,1]
[{2},{1},{3},{5},{4}]=>[{4},{5},{3},{1},{2}]=>[1,1,1,1,1]
[{2},{1},{4},{3},{5}]=>[{5},{3},{4},{1},{2}]=>[1,1,1,1,1]
[{2},{1},{5},{3},{4}]=>[{4},{3},{5},{1},{2}]=>[1,1,1,1,1]
[{2},{1},{4},{5},{3}]=>[{3},{5},{4},{1},{2}]=>[1,1,1,1,1]
[{2},{1},{5},{4},{3}]=>[{3},{4},{5},{1},{2}]=>[1,1,1,1,1]
[{3},{1},{2},{4},{5}]=>[{5},{4},{2},{1},{3}]=>[1,1,1,1,1]
[{3},{1},{2},{5},{4}]=>[{4},{5},{2},{1},{3}]=>[1,1,1,1,1]
[{4},{1},{2},{3},{5}]=>[{5},{3},{2},{1},{4}]=>[1,1,1,1,1]
[{5},{1},{2},{3},{4}]=>[{4},{3},{2},{1},{5}]=>[1,1,1,1,1]
[{4},{1},{2},{5},{3}]=>[{3},{5},{2},{1},{4}]=>[1,1,1,1,1]
[{5},{1},{2},{4},{3}]=>[{3},{4},{2},{1},{5}]=>[1,1,1,1,1]
[{3},{1},{4},{2},{5}]=>[{5},{2},{4},{1},{3}]=>[1,1,1,1,1]
[{3},{1},{5},{2},{4}]=>[{4},{2},{5},{1},{3}]=>[1,1,1,1,1]
[{4},{1},{3},{2},{5}]=>[{5},{2},{3},{1},{4}]=>[1,1,1,1,1]
[{5},{1},{3},{2},{4}]=>[{4},{2},{3},{1},{5}]=>[1,1,1,1,1]
[{4},{1},{5},{2},{3}]=>[{3},{2},{5},{1},{4}]=>[1,1,1,1,1]
[{5},{1},{4},{2},{3}]=>[{3},{2},{4},{1},{5}]=>[1,1,1,1,1]
[{3},{1},{4},{5},{2}]=>[{2},{5},{4},{1},{3}]=>[1,1,1,1,1]
[{3},{1},{5},{4},{2}]=>[{2},{4},{5},{1},{3}]=>[1,1,1,1,1]
[{4},{1},{3},{5},{2}]=>[{2},{5},{3},{1},{4}]=>[1,1,1,1,1]
[{5},{1},{3},{4},{2}]=>[{2},{4},{3},{1},{5}]=>[1,1,1,1,1]
[{4},{1},{5},{3},{2}]=>[{2},{3},{5},{1},{4}]=>[1,1,1,1,1]
[{5},{1},{4},{3},{2}]=>[{2},{3},{4},{1},{5}]=>[1,1,1,1,1]
[{2},{3},{1},{4},{5}]=>[{5},{4},{1},{3},{2}]=>[1,1,1,1,1]
[{2},{3},{1},{5},{4}]=>[{4},{5},{1},{3},{2}]=>[1,1,1,1,1]
[{2},{4},{1},{3},{5}]=>[{5},{3},{1},{4},{2}]=>[1,1,1,1,1]
[{2},{5},{1},{3},{4}]=>[{4},{3},{1},{5},{2}]=>[1,1,1,1,1]
[{2},{4},{1},{5},{3}]=>[{3},{5},{1},{4},{2}]=>[1,1,1,1,1]
[{2},{5},{1},{4},{3}]=>[{3},{4},{1},{5},{2}]=>[1,1,1,1,1]
[{3},{2},{1},{4},{5}]=>[{5},{4},{1},{2},{3}]=>[1,1,1,1,1]
[{3},{2},{1},{5},{4}]=>[{4},{5},{1},{2},{3}]=>[1,1,1,1,1]
[{4},{2},{1},{3},{5}]=>[{5},{3},{1},{2},{4}]=>[1,1,1,1,1]
[{5},{2},{1},{3},{4}]=>[{4},{3},{1},{2},{5}]=>[1,1,1,1,1]
[{4},{2},{1},{5},{3}]=>[{3},{5},{1},{2},{4}]=>[1,1,1,1,1]
[{5},{2},{1},{4},{3}]=>[{3},{4},{1},{2},{5}]=>[1,1,1,1,1]
[{3},{4},{1},{2},{5}]=>[{5},{2},{1},{4},{3}]=>[1,1,1,1,1]
[{3},{5},{1},{2},{4}]=>[{4},{2},{1},{5},{3}]=>[1,1,1,1,1]
[{4},{3},{1},{2},{5}]=>[{5},{2},{1},{3},{4}]=>[1,1,1,1,1]
[{5},{3},{1},{2},{4}]=>[{4},{2},{1},{3},{5}]=>[1,1,1,1,1]
[{4},{5},{1},{2},{3}]=>[{3},{2},{1},{5},{4}]=>[1,1,1,1,1]
[{5},{4},{1},{2},{3}]=>[{3},{2},{1},{4},{5}]=>[1,1,1,1,1]
[{3},{4},{1},{5},{2}]=>[{2},{5},{1},{4},{3}]=>[1,1,1,1,1]
[{3},{5},{1},{4},{2}]=>[{2},{4},{1},{5},{3}]=>[1,1,1,1,1]
[{4},{3},{1},{5},{2}]=>[{2},{5},{1},{3},{4}]=>[1,1,1,1,1]
[{5},{3},{1},{4},{2}]=>[{2},{4},{1},{3},{5}]=>[1,1,1,1,1]
[{4},{5},{1},{3},{2}]=>[{2},{3},{1},{5},{4}]=>[1,1,1,1,1]
[{5},{4},{1},{3},{2}]=>[{2},{3},{1},{4},{5}]=>[1,1,1,1,1]
[{2},{3},{4},{1},{5}]=>[{5},{1},{4},{3},{2}]=>[1,1,1,1,1]
[{2},{3},{5},{1},{4}]=>[{4},{1},{5},{3},{2}]=>[1,1,1,1,1]
[{2},{4},{3},{1},{5}]=>[{5},{1},{3},{4},{2}]=>[1,1,1,1,1]
[{2},{5},{3},{1},{4}]=>[{4},{1},{3},{5},{2}]=>[1,1,1,1,1]
[{2},{4},{5},{1},{3}]=>[{3},{1},{5},{4},{2}]=>[1,1,1,1,1]
[{2},{5},{4},{1},{3}]=>[{3},{1},{4},{5},{2}]=>[1,1,1,1,1]
[{3},{2},{4},{1},{5}]=>[{5},{1},{4},{2},{3}]=>[1,1,1,1,1]
[{3},{2},{5},{1},{4}]=>[{4},{1},{5},{2},{3}]=>[1,1,1,1,1]
[{4},{2},{3},{1},{5}]=>[{5},{1},{3},{2},{4}]=>[1,1,1,1,1]
[{5},{2},{3},{1},{4}]=>[{4},{1},{3},{2},{5}]=>[1,1,1,1,1]
[{4},{2},{5},{1},{3}]=>[{3},{1},{5},{2},{4}]=>[1,1,1,1,1]
[{5},{2},{4},{1},{3}]=>[{3},{1},{4},{2},{5}]=>[1,1,1,1,1]
[{3},{4},{2},{1},{5}]=>[{5},{1},{2},{4},{3}]=>[1,1,1,1,1]
[{3},{5},{2},{1},{4}]=>[{4},{1},{2},{5},{3}]=>[1,1,1,1,1]
[{4},{3},{2},{1},{5}]=>[{5},{1},{2},{3},{4}]=>[1,1,1,1,1]
[{5},{3},{2},{1},{4}]=>[{4},{1},{2},{3},{5}]=>[1,1,1,1,1]
[{4},{5},{2},{1},{3}]=>[{3},{1},{2},{5},{4}]=>[1,1,1,1,1]
[{5},{4},{2},{1},{3}]=>[{3},{1},{2},{4},{5}]=>[1,1,1,1,1]
[{3},{4},{5},{1},{2}]=>[{2},{1},{5},{4},{3}]=>[1,1,1,1,1]
[{3},{5},{4},{1},{2}]=>[{2},{1},{4},{5},{3}]=>[1,1,1,1,1]
[{4},{3},{5},{1},{2}]=>[{2},{1},{5},{3},{4}]=>[1,1,1,1,1]
[{5},{3},{4},{1},{2}]=>[{2},{1},{4},{3},{5}]=>[1,1,1,1,1]
[{4},{5},{3},{1},{2}]=>[{2},{1},{3},{5},{4}]=>[1,1,1,1,1]
[{5},{4},{3},{1},{2}]=>[{2},{1},{3},{4},{5}]=>[1,1,1,1,1]
[{2},{3},{4},{5},{1}]=>[{1},{5},{4},{3},{2}]=>[1,1,1,1,1]
[{2},{3},{5},{4},{1}]=>[{1},{4},{5},{3},{2}]=>[1,1,1,1,1]
[{2},{4},{3},{5},{1}]=>[{1},{5},{3},{4},{2}]=>[1,1,1,1,1]
[{2},{5},{3},{4},{1}]=>[{1},{4},{3},{5},{2}]=>[1,1,1,1,1]
[{2},{4},{5},{3},{1}]=>[{1},{3},{5},{4},{2}]=>[1,1,1,1,1]
[{2},{5},{4},{3},{1}]=>[{1},{3},{4},{5},{2}]=>[1,1,1,1,1]
[{3},{2},{4},{5},{1}]=>[{1},{5},{4},{2},{3}]=>[1,1,1,1,1]
[{3},{2},{5},{4},{1}]=>[{1},{4},{5},{2},{3}]=>[1,1,1,1,1]
[{4},{2},{3},{5},{1}]=>[{1},{5},{3},{2},{4}]=>[1,1,1,1,1]
[{5},{2},{3},{4},{1}]=>[{1},{4},{3},{2},{5}]=>[1,1,1,1,1]
[{4},{2},{5},{3},{1}]=>[{1},{3},{5},{2},{4}]=>[1,1,1,1,1]
[{5},{2},{4},{3},{1}]=>[{1},{3},{4},{2},{5}]=>[1,1,1,1,1]
[{3},{4},{2},{5},{1}]=>[{1},{5},{2},{4},{3}]=>[1,1,1,1,1]
[{3},{5},{2},{4},{1}]=>[{1},{4},{2},{5},{3}]=>[1,1,1,1,1]
[{4},{3},{2},{5},{1}]=>[{1},{5},{2},{3},{4}]=>[1,1,1,1,1]
[{5},{3},{2},{4},{1}]=>[{1},{4},{2},{3},{5}]=>[1,1,1,1,1]
[{4},{5},{2},{3},{1}]=>[{1},{3},{2},{5},{4}]=>[1,1,1,1,1]
[{5},{4},{2},{3},{1}]=>[{1},{3},{2},{4},{5}]=>[1,1,1,1,1]
[{3},{4},{5},{2},{1}]=>[{1},{2},{5},{4},{3}]=>[1,1,1,1,1]
[{3},{5},{4},{2},{1}]=>[{1},{2},{4},{5},{3}]=>[1,1,1,1,1]
[{4},{3},{5},{2},{1}]=>[{1},{2},{5},{3},{4}]=>[1,1,1,1,1]
[{5},{3},{4},{2},{1}]=>[{1},{2},{4},{3},{5}]=>[1,1,1,1,1]
[{4},{5},{3},{2},{1}]=>[{1},{2},{3},{5},{4}]=>[1,1,1,1,1]
[{5},{4},{3},{2},{1}]=>[{1},{2},{3},{4},{5}]=>[1,1,1,1,1]
[{1},{2},{3},{4,5}]=>[{4,5},{3},{2},{1}]=>[2,1,1,1]
[{1},{2},{4},{3,5}]=>[{3,5},{4},{2},{1}]=>[2,1,1,1]
[{1},{2},{5},{3,4}]=>[{3,4},{5},{2},{1}]=>[2,1,1,1]
[{1},{3},{2},{4,5}]=>[{4,5},{2},{3},{1}]=>[2,1,1,1]
[{1},{4},{2},{3,5}]=>[{3,5},{2},{4},{1}]=>[2,1,1,1]
[{1},{5},{2},{3,4}]=>[{3,4},{2},{5},{1}]=>[2,1,1,1]
[{1},{3},{4},{2,5}]=>[{2,5},{4},{3},{1}]=>[2,1,1,1]
[{1},{3},{5},{2,4}]=>[{2,4},{5},{3},{1}]=>[2,1,1,1]
[{1},{4},{3},{2,5}]=>[{2,5},{3},{4},{1}]=>[2,1,1,1]
[{1},{5},{3},{2,4}]=>[{2,4},{3},{5},{1}]=>[2,1,1,1]
[{1},{4},{5},{2,3}]=>[{2,3},{5},{4},{1}]=>[2,1,1,1]
[{1},{5},{4},{2,3}]=>[{2,3},{4},{5},{1}]=>[2,1,1,1]
[{2},{1},{3},{4,5}]=>[{4,5},{3},{1},{2}]=>[2,1,1,1]
[{2},{1},{4},{3,5}]=>[{3,5},{4},{1},{2}]=>[2,1,1,1]
[{2},{1},{5},{3,4}]=>[{3,4},{5},{1},{2}]=>[2,1,1,1]
[{3},{1},{2},{4,5}]=>[{4,5},{2},{1},{3}]=>[2,1,1,1]
[{4},{1},{2},{3,5}]=>[{3,5},{2},{1},{4}]=>[2,1,1,1]
[{5},{1},{2},{3,4}]=>[{3,4},{2},{1},{5}]=>[2,1,1,1]
[{3},{1},{4},{2,5}]=>[{2,5},{4},{1},{3}]=>[2,1,1,1]
[{3},{1},{5},{2,4}]=>[{2,4},{5},{1},{3}]=>[2,1,1,1]
[{4},{1},{3},{2,5}]=>[{2,5},{3},{1},{4}]=>[2,1,1,1]
[{5},{1},{3},{2,4}]=>[{2,4},{3},{1},{5}]=>[2,1,1,1]
[{4},{1},{5},{2,3}]=>[{2,3},{5},{1},{4}]=>[2,1,1,1]
[{5},{1},{4},{2,3}]=>[{2,3},{4},{1},{5}]=>[2,1,1,1]
[{2},{3},{1},{4,5}]=>[{4,5},{1},{3},{2}]=>[2,1,1,1]
[{2},{4},{1},{3,5}]=>[{3,5},{1},{4},{2}]=>[2,1,1,1]
[{2},{5},{1},{3,4}]=>[{3,4},{1},{5},{2}]=>[2,1,1,1]
[{3},{2},{1},{4,5}]=>[{4,5},{1},{2},{3}]=>[2,1,1,1]
[{4},{2},{1},{3,5}]=>[{3,5},{1},{2},{4}]=>[2,1,1,1]
[{5},{2},{1},{3,4}]=>[{3,4},{1},{2},{5}]=>[2,1,1,1]
[{3},{4},{1},{2,5}]=>[{2,5},{1},{4},{3}]=>[2,1,1,1]
[{3},{5},{1},{2,4}]=>[{2,4},{1},{5},{3}]=>[2,1,1,1]
[{4},{3},{1},{2,5}]=>[{2,5},{1},{3},{4}]=>[2,1,1,1]
[{5},{3},{1},{2,4}]=>[{2,4},{1},{3},{5}]=>[2,1,1,1]
[{4},{5},{1},{2,3}]=>[{2,3},{1},{5},{4}]=>[2,1,1,1]
[{5},{4},{1},{2,3}]=>[{2,3},{1},{4},{5}]=>[2,1,1,1]
[{2},{3},{4},{1,5}]=>[{1,5},{4},{3},{2}]=>[2,1,1,1]
[{2},{3},{5},{1,4}]=>[{1,4},{5},{3},{2}]=>[2,1,1,1]
[{2},{4},{3},{1,5}]=>[{1,5},{3},{4},{2}]=>[2,1,1,1]
[{2},{5},{3},{1,4}]=>[{1,4},{3},{5},{2}]=>[2,1,1,1]
[{2},{4},{5},{1,3}]=>[{1,3},{5},{4},{2}]=>[2,1,1,1]
[{2},{5},{4},{1,3}]=>[{1,3},{4},{5},{2}]=>[2,1,1,1]
[{3},{2},{4},{1,5}]=>[{1,5},{4},{2},{3}]=>[2,1,1,1]
[{3},{2},{5},{1,4}]=>[{1,4},{5},{2},{3}]=>[2,1,1,1]
[{4},{2},{3},{1,5}]=>[{1,5},{3},{2},{4}]=>[2,1,1,1]
[{5},{2},{3},{1,4}]=>[{1,4},{3},{2},{5}]=>[2,1,1,1]
[{4},{2},{5},{1,3}]=>[{1,3},{5},{2},{4}]=>[2,1,1,1]
[{5},{2},{4},{1,3}]=>[{1,3},{4},{2},{5}]=>[2,1,1,1]
[{3},{4},{2},{1,5}]=>[{1,5},{2},{4},{3}]=>[2,1,1,1]
[{3},{5},{2},{1,4}]=>[{1,4},{2},{5},{3}]=>[2,1,1,1]
[{4},{3},{2},{1,5}]=>[{1,5},{2},{3},{4}]=>[2,1,1,1]
[{5},{3},{2},{1,4}]=>[{1,4},{2},{3},{5}]=>[2,1,1,1]
[{4},{5},{2},{1,3}]=>[{1,3},{2},{5},{4}]=>[2,1,1,1]
[{5},{4},{2},{1,3}]=>[{1,3},{2},{4},{5}]=>[2,1,1,1]
[{3},{4},{5},{1,2}]=>[{1,2},{5},{4},{3}]=>[2,1,1,1]
[{3},{5},{4},{1,2}]=>[{1,2},{4},{5},{3}]=>[2,1,1,1]
[{4},{3},{5},{1,2}]=>[{1,2},{5},{3},{4}]=>[2,1,1,1]
[{5},{3},{4},{1,2}]=>[{1,2},{4},{3},{5}]=>[2,1,1,1]
[{4},{5},{3},{1,2}]=>[{1,2},{3},{5},{4}]=>[2,1,1,1]
[{5},{4},{3},{1,2}]=>[{1,2},{3},{4},{5}]=>[2,1,1,1]
[{1},{2},{3,4},{5}]=>[{5},{3,4},{2},{1}]=>[1,2,1,1]
[{1},{2},{3,5},{4}]=>[{4},{3,5},{2},{1}]=>[1,2,1,1]
[{1},{2},{4,5},{3}]=>[{3},{4,5},{2},{1}]=>[1,2,1,1]
[{1},{3},{2,4},{5}]=>[{5},{2,4},{3},{1}]=>[1,2,1,1]
[{1},{3},{2,5},{4}]=>[{4},{2,5},{3},{1}]=>[1,2,1,1]
[{1},{4},{2,3},{5}]=>[{5},{2,3},{4},{1}]=>[1,2,1,1]
[{1},{5},{2,3},{4}]=>[{4},{2,3},{5},{1}]=>[1,2,1,1]
[{1},{4},{2,5},{3}]=>[{3},{2,5},{4},{1}]=>[1,2,1,1]
[{1},{5},{2,4},{3}]=>[{3},{2,4},{5},{1}]=>[1,2,1,1]
[{1},{3},{4,5},{2}]=>[{2},{4,5},{3},{1}]=>[1,2,1,1]
[{1},{4},{3,5},{2}]=>[{2},{3,5},{4},{1}]=>[1,2,1,1]
[{1},{5},{3,4},{2}]=>[{2},{3,4},{5},{1}]=>[1,2,1,1]
[{2},{1},{3,4},{5}]=>[{5},{3,4},{1},{2}]=>[1,2,1,1]
[{2},{1},{3,5},{4}]=>[{4},{3,5},{1},{2}]=>[1,2,1,1]
[{2},{1},{4,5},{3}]=>[{3},{4,5},{1},{2}]=>[1,2,1,1]
[{3},{1},{2,4},{5}]=>[{5},{2,4},{1},{3}]=>[1,2,1,1]
[{3},{1},{2,5},{4}]=>[{4},{2,5},{1},{3}]=>[1,2,1,1]
[{4},{1},{2,3},{5}]=>[{5},{2,3},{1},{4}]=>[1,2,1,1]
[{5},{1},{2,3},{4}]=>[{4},{2,3},{1},{5}]=>[1,2,1,1]
[{4},{1},{2,5},{3}]=>[{3},{2,5},{1},{4}]=>[1,2,1,1]
[{5},{1},{2,4},{3}]=>[{3},{2,4},{1},{5}]=>[1,2,1,1]
[{3},{1},{4,5},{2}]=>[{2},{4,5},{1},{3}]=>[1,2,1,1]
[{4},{1},{3,5},{2}]=>[{2},{3,5},{1},{4}]=>[1,2,1,1]
[{5},{1},{3,4},{2}]=>[{2},{3,4},{1},{5}]=>[1,2,1,1]
[{2},{3},{1,4},{5}]=>[{5},{1,4},{3},{2}]=>[1,2,1,1]
[{2},{3},{1,5},{4}]=>[{4},{1,5},{3},{2}]=>[1,2,1,1]
[{2},{4},{1,3},{5}]=>[{5},{1,3},{4},{2}]=>[1,2,1,1]
[{2},{5},{1,3},{4}]=>[{4},{1,3},{5},{2}]=>[1,2,1,1]
[{2},{4},{1,5},{3}]=>[{3},{1,5},{4},{2}]=>[1,2,1,1]
[{2},{5},{1,4},{3}]=>[{3},{1,4},{5},{2}]=>[1,2,1,1]
[{3},{2},{1,4},{5}]=>[{5},{1,4},{2},{3}]=>[1,2,1,1]
[{3},{2},{1,5},{4}]=>[{4},{1,5},{2},{3}]=>[1,2,1,1]
[{4},{2},{1,3},{5}]=>[{5},{1,3},{2},{4}]=>[1,2,1,1]
[{5},{2},{1,3},{4}]=>[{4},{1,3},{2},{5}]=>[1,2,1,1]
[{4},{2},{1,5},{3}]=>[{3},{1,5},{2},{4}]=>[1,2,1,1]
[{5},{2},{1,4},{3}]=>[{3},{1,4},{2},{5}]=>[1,2,1,1]
[{3},{4},{1,2},{5}]=>[{5},{1,2},{4},{3}]=>[1,2,1,1]
[{3},{5},{1,2},{4}]=>[{4},{1,2},{5},{3}]=>[1,2,1,1]
[{4},{3},{1,2},{5}]=>[{5},{1,2},{3},{4}]=>[1,2,1,1]
[{5},{3},{1,2},{4}]=>[{4},{1,2},{3},{5}]=>[1,2,1,1]
[{4},{5},{1,2},{3}]=>[{3},{1,2},{5},{4}]=>[1,2,1,1]
[{5},{4},{1,2},{3}]=>[{3},{1,2},{4},{5}]=>[1,2,1,1]
[{3},{4},{1,5},{2}]=>[{2},{1,5},{4},{3}]=>[1,2,1,1]
[{3},{5},{1,4},{2}]=>[{2},{1,4},{5},{3}]=>[1,2,1,1]
[{4},{3},{1,5},{2}]=>[{2},{1,5},{3},{4}]=>[1,2,1,1]
[{5},{3},{1,4},{2}]=>[{2},{1,4},{3},{5}]=>[1,2,1,1]
[{4},{5},{1,3},{2}]=>[{2},{1,3},{5},{4}]=>[1,2,1,1]
[{5},{4},{1,3},{2}]=>[{2},{1,3},{4},{5}]=>[1,2,1,1]
[{2},{3},{4,5},{1}]=>[{1},{4,5},{3},{2}]=>[1,2,1,1]
[{2},{4},{3,5},{1}]=>[{1},{3,5},{4},{2}]=>[1,2,1,1]
[{2},{5},{3,4},{1}]=>[{1},{3,4},{5},{2}]=>[1,2,1,1]
[{3},{2},{4,5},{1}]=>[{1},{4,5},{2},{3}]=>[1,2,1,1]
[{4},{2},{3,5},{1}]=>[{1},{3,5},{2},{4}]=>[1,2,1,1]
[{5},{2},{3,4},{1}]=>[{1},{3,4},{2},{5}]=>[1,2,1,1]
[{3},{4},{2,5},{1}]=>[{1},{2,5},{4},{3}]=>[1,2,1,1]
[{3},{5},{2,4},{1}]=>[{1},{2,4},{5},{3}]=>[1,2,1,1]
[{4},{3},{2,5},{1}]=>[{1},{2,5},{3},{4}]=>[1,2,1,1]
[{5},{3},{2,4},{1}]=>[{1},{2,4},{3},{5}]=>[1,2,1,1]
[{4},{5},{2,3},{1}]=>[{1},{2,3},{5},{4}]=>[1,2,1,1]
[{5},{4},{2,3},{1}]=>[{1},{2,3},{4},{5}]=>[1,2,1,1]
[{1},{2},{3,4,5}]=>[{3,4,5},{2},{1}]=>[3,1,1]
[{1},{3},{2,4,5}]=>[{2,4,5},{3},{1}]=>[3,1,1]
[{1},{4},{2,3,5}]=>[{2,3,5},{4},{1}]=>[3,1,1]
[{1},{5},{2,3,4}]=>[{2,3,4},{5},{1}]=>[3,1,1]
[{2},{1},{3,4,5}]=>[{3,4,5},{1},{2}]=>[3,1,1]
[{3},{1},{2,4,5}]=>[{2,4,5},{1},{3}]=>[3,1,1]
[{4},{1},{2,3,5}]=>[{2,3,5},{1},{4}]=>[3,1,1]
[{5},{1},{2,3,4}]=>[{2,3,4},{1},{5}]=>[3,1,1]
[{2},{3},{1,4,5}]=>[{1,4,5},{3},{2}]=>[3,1,1]
[{2},{4},{1,3,5}]=>[{1,3,5},{4},{2}]=>[3,1,1]
[{2},{5},{1,3,4}]=>[{1,3,4},{5},{2}]=>[3,1,1]
[{3},{2},{1,4,5}]=>[{1,4,5},{2},{3}]=>[3,1,1]
[{4},{2},{1,3,5}]=>[{1,3,5},{2},{4}]=>[3,1,1]
[{5},{2},{1,3,4}]=>[{1,3,4},{2},{5}]=>[3,1,1]
[{3},{4},{1,2,5}]=>[{1,2,5},{4},{3}]=>[3,1,1]
[{3},{5},{1,2,4}]=>[{1,2,4},{5},{3}]=>[3,1,1]
[{4},{3},{1,2,5}]=>[{1,2,5},{3},{4}]=>[3,1,1]
[{5},{3},{1,2,4}]=>[{1,2,4},{3},{5}]=>[3,1,1]
[{4},{5},{1,2,3}]=>[{1,2,3},{5},{4}]=>[3,1,1]
[{5},{4},{1,2,3}]=>[{1,2,3},{4},{5}]=>[3,1,1]
[{1},{2,3},{4},{5}]=>[{5},{4},{2,3},{1}]=>[1,1,2,1]
[{1},{2,3},{5},{4}]=>[{4},{5},{2,3},{1}]=>[1,1,2,1]
[{1},{2,4},{3},{5}]=>[{5},{3},{2,4},{1}]=>[1,1,2,1]
[{1},{2,5},{3},{4}]=>[{4},{3},{2,5},{1}]=>[1,1,2,1]
[{1},{2,4},{5},{3}]=>[{3},{5},{2,4},{1}]=>[1,1,2,1]
[{1},{2,5},{4},{3}]=>[{3},{4},{2,5},{1}]=>[1,1,2,1]
[{1},{3,4},{2},{5}]=>[{5},{2},{3,4},{1}]=>[1,1,2,1]
[{1},{3,5},{2},{4}]=>[{4},{2},{3,5},{1}]=>[1,1,2,1]
[{1},{4,5},{2},{3}]=>[{3},{2},{4,5},{1}]=>[1,1,2,1]
[{1},{3,4},{5},{2}]=>[{2},{5},{3,4},{1}]=>[1,1,2,1]
[{1},{3,5},{4},{2}]=>[{2},{4},{3,5},{1}]=>[1,1,2,1]
[{1},{4,5},{3},{2}]=>[{2},{3},{4,5},{1}]=>[1,1,2,1]
[{2},{1,3},{4},{5}]=>[{5},{4},{1,3},{2}]=>[1,1,2,1]
[{2},{1,3},{5},{4}]=>[{4},{5},{1,3},{2}]=>[1,1,2,1]
[{2},{1,4},{3},{5}]=>[{5},{3},{1,4},{2}]=>[1,1,2,1]
[{2},{1,5},{3},{4}]=>[{4},{3},{1,5},{2}]=>[1,1,2,1]
[{2},{1,4},{5},{3}]=>[{3},{5},{1,4},{2}]=>[1,1,2,1]
[{2},{1,5},{4},{3}]=>[{3},{4},{1,5},{2}]=>[1,1,2,1]
[{3},{1,2},{4},{5}]=>[{5},{4},{1,2},{3}]=>[1,1,2,1]
[{3},{1,2},{5},{4}]=>[{4},{5},{1,2},{3}]=>[1,1,2,1]
[{4},{1,2},{3},{5}]=>[{5},{3},{1,2},{4}]=>[1,1,2,1]
[{5},{1,2},{3},{4}]=>[{4},{3},{1,2},{5}]=>[1,1,2,1]
[{4},{1,2},{5},{3}]=>[{3},{5},{1,2},{4}]=>[1,1,2,1]
[{5},{1,2},{4},{3}]=>[{3},{4},{1,2},{5}]=>[1,1,2,1]
[{3},{1,4},{2},{5}]=>[{5},{2},{1,4},{3}]=>[1,1,2,1]
[{3},{1,5},{2},{4}]=>[{4},{2},{1,5},{3}]=>[1,1,2,1]
[{4},{1,3},{2},{5}]=>[{5},{2},{1,3},{4}]=>[1,1,2,1]
[{5},{1,3},{2},{4}]=>[{4},{2},{1,3},{5}]=>[1,1,2,1]
[{4},{1,5},{2},{3}]=>[{3},{2},{1,5},{4}]=>[1,1,2,1]
[{5},{1,4},{2},{3}]=>[{3},{2},{1,4},{5}]=>[1,1,2,1]
[{3},{1,4},{5},{2}]=>[{2},{5},{1,4},{3}]=>[1,1,2,1]
[{3},{1,5},{4},{2}]=>[{2},{4},{1,5},{3}]=>[1,1,2,1]
[{4},{1,3},{5},{2}]=>[{2},{5},{1,3},{4}]=>[1,1,2,1]
[{5},{1,3},{4},{2}]=>[{2},{4},{1,3},{5}]=>[1,1,2,1]
[{4},{1,5},{3},{2}]=>[{2},{3},{1,5},{4}]=>[1,1,2,1]
[{5},{1,4},{3},{2}]=>[{2},{3},{1,4},{5}]=>[1,1,2,1]
[{2},{3,4},{1},{5}]=>[{5},{1},{3,4},{2}]=>[1,1,2,1]
[{2},{3,5},{1},{4}]=>[{4},{1},{3,5},{2}]=>[1,1,2,1]
[{2},{4,5},{1},{3}]=>[{3},{1},{4,5},{2}]=>[1,1,2,1]
[{3},{2,4},{1},{5}]=>[{5},{1},{2,4},{3}]=>[1,1,2,1]
[{3},{2,5},{1},{4}]=>[{4},{1},{2,5},{3}]=>[1,1,2,1]
[{4},{2,3},{1},{5}]=>[{5},{1},{2,3},{4}]=>[1,1,2,1]
[{5},{2,3},{1},{4}]=>[{4},{1},{2,3},{5}]=>[1,1,2,1]
[{4},{2,5},{1},{3}]=>[{3},{1},{2,5},{4}]=>[1,1,2,1]
[{5},{2,4},{1},{3}]=>[{3},{1},{2,4},{5}]=>[1,1,2,1]
[{3},{4,5},{1},{2}]=>[{2},{1},{4,5},{3}]=>[1,1,2,1]
[{4},{3,5},{1},{2}]=>[{2},{1},{3,5},{4}]=>[1,1,2,1]
[{5},{3,4},{1},{2}]=>[{2},{1},{3,4},{5}]=>[1,1,2,1]
[{2},{3,4},{5},{1}]=>[{1},{5},{3,4},{2}]=>[1,1,2,1]
[{2},{3,5},{4},{1}]=>[{1},{4},{3,5},{2}]=>[1,1,2,1]
[{2},{4,5},{3},{1}]=>[{1},{3},{4,5},{2}]=>[1,1,2,1]
[{3},{2,4},{5},{1}]=>[{1},{5},{2,4},{3}]=>[1,1,2,1]
[{3},{2,5},{4},{1}]=>[{1},{4},{2,5},{3}]=>[1,1,2,1]
[{4},{2,3},{5},{1}]=>[{1},{5},{2,3},{4}]=>[1,1,2,1]
[{5},{2,3},{4},{1}]=>[{1},{4},{2,3},{5}]=>[1,1,2,1]
[{4},{2,5},{3},{1}]=>[{1},{3},{2,5},{4}]=>[1,1,2,1]
[{5},{2,4},{3},{1}]=>[{1},{3},{2,4},{5}]=>[1,1,2,1]
[{3},{4,5},{2},{1}]=>[{1},{2},{4,5},{3}]=>[1,1,2,1]
[{4},{3,5},{2},{1}]=>[{1},{2},{3,5},{4}]=>[1,1,2,1]
[{5},{3,4},{2},{1}]=>[{1},{2},{3,4},{5}]=>[1,1,2,1]
[{1},{2,3},{4,5}]=>[{4,5},{2,3},{1}]=>[2,2,1]
[{1},{2,4},{3,5}]=>[{3,5},{2,4},{1}]=>[2,2,1]
[{1},{2,5},{3,4}]=>[{3,4},{2,5},{1}]=>[2,2,1]
[{1},{3,4},{2,5}]=>[{2,5},{3,4},{1}]=>[2,2,1]
[{1},{3,5},{2,4}]=>[{2,4},{3,5},{1}]=>[2,2,1]
[{1},{4,5},{2,3}]=>[{2,3},{4,5},{1}]=>[2,2,1]
[{2},{1,3},{4,5}]=>[{4,5},{1,3},{2}]=>[2,2,1]
[{2},{1,4},{3,5}]=>[{3,5},{1,4},{2}]=>[2,2,1]
[{2},{1,5},{3,4}]=>[{3,4},{1,5},{2}]=>[2,2,1]
[{3},{1,2},{4,5}]=>[{4,5},{1,2},{3}]=>[2,2,1]
[{4},{1,2},{3,5}]=>[{3,5},{1,2},{4}]=>[2,2,1]
[{5},{1,2},{3,4}]=>[{3,4},{1,2},{5}]=>[2,2,1]
[{3},{1,4},{2,5}]=>[{2,5},{1,4},{3}]=>[2,2,1]
[{3},{1,5},{2,4}]=>[{2,4},{1,5},{3}]=>[2,2,1]
[{4},{1,3},{2,5}]=>[{2,5},{1,3},{4}]=>[2,2,1]
[{5},{1,3},{2,4}]=>[{2,4},{1,3},{5}]=>[2,2,1]
[{4},{1,5},{2,3}]=>[{2,3},{1,5},{4}]=>[2,2,1]
[{5},{1,4},{2,3}]=>[{2,3},{1,4},{5}]=>[2,2,1]
[{2},{3,4},{1,5}]=>[{1,5},{3,4},{2}]=>[2,2,1]
[{2},{3,5},{1,4}]=>[{1,4},{3,5},{2}]=>[2,2,1]
[{2},{4,5},{1,3}]=>[{1,3},{4,5},{2}]=>[2,2,1]
[{3},{2,4},{1,5}]=>[{1,5},{2,4},{3}]=>[2,2,1]
[{3},{2,5},{1,4}]=>[{1,4},{2,5},{3}]=>[2,2,1]
[{4},{2,3},{1,5}]=>[{1,5},{2,3},{4}]=>[2,2,1]
[{5},{2,3},{1,4}]=>[{1,4},{2,3},{5}]=>[2,2,1]
[{4},{2,5},{1,3}]=>[{1,3},{2,5},{4}]=>[2,2,1]
[{5},{2,4},{1,3}]=>[{1,3},{2,4},{5}]=>[2,2,1]
[{3},{4,5},{1,2}]=>[{1,2},{4,5},{3}]=>[2,2,1]
[{4},{3,5},{1,2}]=>[{1,2},{3,5},{4}]=>[2,2,1]
[{5},{3,4},{1,2}]=>[{1,2},{3,4},{5}]=>[2,2,1]
[{1},{2,3,4},{5}]=>[{5},{2,3,4},{1}]=>[1,3,1]
[{1},{2,3,5},{4}]=>[{4},{2,3,5},{1}]=>[1,3,1]
[{1},{2,4,5},{3}]=>[{3},{2,4,5},{1}]=>[1,3,1]
[{1},{3,4,5},{2}]=>[{2},{3,4,5},{1}]=>[1,3,1]
[{2},{1,3,4},{5}]=>[{5},{1,3,4},{2}]=>[1,3,1]
[{2},{1,3,5},{4}]=>[{4},{1,3,5},{2}]=>[1,3,1]
[{2},{1,4,5},{3}]=>[{3},{1,4,5},{2}]=>[1,3,1]
[{3},{1,2,4},{5}]=>[{5},{1,2,4},{3}]=>[1,3,1]
[{3},{1,2,5},{4}]=>[{4},{1,2,5},{3}]=>[1,3,1]
[{4},{1,2,3},{5}]=>[{5},{1,2,3},{4}]=>[1,3,1]
[{5},{1,2,3},{4}]=>[{4},{1,2,3},{5}]=>[1,3,1]
[{4},{1,2,5},{3}]=>[{3},{1,2,5},{4}]=>[1,3,1]
[{5},{1,2,4},{3}]=>[{3},{1,2,4},{5}]=>[1,3,1]
[{3},{1,4,5},{2}]=>[{2},{1,4,5},{3}]=>[1,3,1]
[{4},{1,3,5},{2}]=>[{2},{1,3,5},{4}]=>[1,3,1]
[{5},{1,3,4},{2}]=>[{2},{1,3,4},{5}]=>[1,3,1]
[{2},{3,4,5},{1}]=>[{1},{3,4,5},{2}]=>[1,3,1]
[{3},{2,4,5},{1}]=>[{1},{2,4,5},{3}]=>[1,3,1]
[{4},{2,3,5},{1}]=>[{1},{2,3,5},{4}]=>[1,3,1]
[{5},{2,3,4},{1}]=>[{1},{2,3,4},{5}]=>[1,3,1]
[{1},{2,3,4,5}]=>[{2,3,4,5},{1}]=>[4,1]
[{2},{1,3,4,5}]=>[{1,3,4,5},{2}]=>[4,1]
[{3},{1,2,4,5}]=>[{1,2,4,5},{3}]=>[4,1]
[{4},{1,2,3,5}]=>[{1,2,3,5},{4}]=>[4,1]
[{5},{1,2,3,4}]=>[{1,2,3,4},{5}]=>[4,1]
[{1,2},{3},{4},{5}]=>[{5},{4},{3},{1,2}]=>[1,1,1,2]
[{1,2},{3},{5},{4}]=>[{4},{5},{3},{1,2}]=>[1,1,1,2]
[{1,2},{4},{3},{5}]=>[{5},{3},{4},{1,2}]=>[1,1,1,2]
[{1,2},{5},{3},{4}]=>[{4},{3},{5},{1,2}]=>[1,1,1,2]
[{1,2},{4},{5},{3}]=>[{3},{5},{4},{1,2}]=>[1,1,1,2]
[{1,2},{5},{4},{3}]=>[{3},{4},{5},{1,2}]=>[1,1,1,2]
[{1,3},{2},{4},{5}]=>[{5},{4},{2},{1,3}]=>[1,1,1,2]
[{1,3},{2},{5},{4}]=>[{4},{5},{2},{1,3}]=>[1,1,1,2]
[{1,4},{2},{3},{5}]=>[{5},{3},{2},{1,4}]=>[1,1,1,2]
[{1,5},{2},{3},{4}]=>[{4},{3},{2},{1,5}]=>[1,1,1,2]
[{1,4},{2},{5},{3}]=>[{3},{5},{2},{1,4}]=>[1,1,1,2]
[{1,5},{2},{4},{3}]=>[{3},{4},{2},{1,5}]=>[1,1,1,2]
[{1,3},{4},{2},{5}]=>[{5},{2},{4},{1,3}]=>[1,1,1,2]
[{1,3},{5},{2},{4}]=>[{4},{2},{5},{1,3}]=>[1,1,1,2]
[{1,4},{3},{2},{5}]=>[{5},{2},{3},{1,4}]=>[1,1,1,2]
[{1,5},{3},{2},{4}]=>[{4},{2},{3},{1,5}]=>[1,1,1,2]
[{1,4},{5},{2},{3}]=>[{3},{2},{5},{1,4}]=>[1,1,1,2]
[{1,5},{4},{2},{3}]=>[{3},{2},{4},{1,5}]=>[1,1,1,2]
[{1,3},{4},{5},{2}]=>[{2},{5},{4},{1,3}]=>[1,1,1,2]
[{1,3},{5},{4},{2}]=>[{2},{4},{5},{1,3}]=>[1,1,1,2]
[{1,4},{3},{5},{2}]=>[{2},{5},{3},{1,4}]=>[1,1,1,2]
[{1,5},{3},{4},{2}]=>[{2},{4},{3},{1,5}]=>[1,1,1,2]
[{1,4},{5},{3},{2}]=>[{2},{3},{5},{1,4}]=>[1,1,1,2]
[{1,5},{4},{3},{2}]=>[{2},{3},{4},{1,5}]=>[1,1,1,2]
[{2,3},{1},{4},{5}]=>[{5},{4},{1},{2,3}]=>[1,1,1,2]
[{2,3},{1},{5},{4}]=>[{4},{5},{1},{2,3}]=>[1,1,1,2]
[{2,4},{1},{3},{5}]=>[{5},{3},{1},{2,4}]=>[1,1,1,2]
[{2,5},{1},{3},{4}]=>[{4},{3},{1},{2,5}]=>[1,1,1,2]
[{2,4},{1},{5},{3}]=>[{3},{5},{1},{2,4}]=>[1,1,1,2]
[{2,5},{1},{4},{3}]=>[{3},{4},{1},{2,5}]=>[1,1,1,2]
[{3,4},{1},{2},{5}]=>[{5},{2},{1},{3,4}]=>[1,1,1,2]
[{3,5},{1},{2},{4}]=>[{4},{2},{1},{3,5}]=>[1,1,1,2]
[{4,5},{1},{2},{3}]=>[{3},{2},{1},{4,5}]=>[1,1,1,2]
[{3,4},{1},{5},{2}]=>[{2},{5},{1},{3,4}]=>[1,1,1,2]
[{3,5},{1},{4},{2}]=>[{2},{4},{1},{3,5}]=>[1,1,1,2]
[{4,5},{1},{3},{2}]=>[{2},{3},{1},{4,5}]=>[1,1,1,2]
[{2,3},{4},{1},{5}]=>[{5},{1},{4},{2,3}]=>[1,1,1,2]
[{2,3},{5},{1},{4}]=>[{4},{1},{5},{2,3}]=>[1,1,1,2]
[{2,4},{3},{1},{5}]=>[{5},{1},{3},{2,4}]=>[1,1,1,2]
[{2,5},{3},{1},{4}]=>[{4},{1},{3},{2,5}]=>[1,1,1,2]
[{2,4},{5},{1},{3}]=>[{3},{1},{5},{2,4}]=>[1,1,1,2]
[{2,5},{4},{1},{3}]=>[{3},{1},{4},{2,5}]=>[1,1,1,2]
[{3,4},{2},{1},{5}]=>[{5},{1},{2},{3,4}]=>[1,1,1,2]
[{3,5},{2},{1},{4}]=>[{4},{1},{2},{3,5}]=>[1,1,1,2]
[{4,5},{2},{1},{3}]=>[{3},{1},{2},{4,5}]=>[1,1,1,2]
[{3,4},{5},{1},{2}]=>[{2},{1},{5},{3,4}]=>[1,1,1,2]
[{3,5},{4},{1},{2}]=>[{2},{1},{4},{3,5}]=>[1,1,1,2]
[{4,5},{3},{1},{2}]=>[{2},{1},{3},{4,5}]=>[1,1,1,2]
[{2,3},{4},{5},{1}]=>[{1},{5},{4},{2,3}]=>[1,1,1,2]
[{2,3},{5},{4},{1}]=>[{1},{4},{5},{2,3}]=>[1,1,1,2]
[{2,4},{3},{5},{1}]=>[{1},{5},{3},{2,4}]=>[1,1,1,2]
[{2,5},{3},{4},{1}]=>[{1},{4},{3},{2,5}]=>[1,1,1,2]
[{2,4},{5},{3},{1}]=>[{1},{3},{5},{2,4}]=>[1,1,1,2]
[{2,5},{4},{3},{1}]=>[{1},{3},{4},{2,5}]=>[1,1,1,2]
[{3,4},{2},{5},{1}]=>[{1},{5},{2},{3,4}]=>[1,1,1,2]
[{3,5},{2},{4},{1}]=>[{1},{4},{2},{3,5}]=>[1,1,1,2]
[{4,5},{2},{3},{1}]=>[{1},{3},{2},{4,5}]=>[1,1,1,2]
[{3,4},{5},{2},{1}]=>[{1},{2},{5},{3,4}]=>[1,1,1,2]
[{3,5},{4},{2},{1}]=>[{1},{2},{4},{3,5}]=>[1,1,1,2]
[{4,5},{3},{2},{1}]=>[{1},{2},{3},{4,5}]=>[1,1,1,2]
[{1,2},{3},{4,5}]=>[{4,5},{3},{1,2}]=>[2,1,2]
[{1,2},{4},{3,5}]=>[{3,5},{4},{1,2}]=>[2,1,2]
[{1,2},{5},{3,4}]=>[{3,4},{5},{1,2}]=>[2,1,2]
[{1,3},{2},{4,5}]=>[{4,5},{2},{1,3}]=>[2,1,2]
[{1,4},{2},{3,5}]=>[{3,5},{2},{1,4}]=>[2,1,2]
[{1,5},{2},{3,4}]=>[{3,4},{2},{1,5}]=>[2,1,2]
[{1,3},{4},{2,5}]=>[{2,5},{4},{1,3}]=>[2,1,2]
[{1,3},{5},{2,4}]=>[{2,4},{5},{1,3}]=>[2,1,2]
[{1,4},{3},{2,5}]=>[{2,5},{3},{1,4}]=>[2,1,2]
[{1,5},{3},{2,4}]=>[{2,4},{3},{1,5}]=>[2,1,2]
[{1,4},{5},{2,3}]=>[{2,3},{5},{1,4}]=>[2,1,2]
[{1,5},{4},{2,3}]=>[{2,3},{4},{1,5}]=>[2,1,2]
[{2,3},{1},{4,5}]=>[{4,5},{1},{2,3}]=>[2,1,2]
[{2,4},{1},{3,5}]=>[{3,5},{1},{2,4}]=>[2,1,2]
[{2,5},{1},{3,4}]=>[{3,4},{1},{2,5}]=>[2,1,2]
[{3,4},{1},{2,5}]=>[{2,5},{1},{3,4}]=>[2,1,2]
[{3,5},{1},{2,4}]=>[{2,4},{1},{3,5}]=>[2,1,2]
[{4,5},{1},{2,3}]=>[{2,3},{1},{4,5}]=>[2,1,2]
[{2,3},{4},{1,5}]=>[{1,5},{4},{2,3}]=>[2,1,2]
[{2,3},{5},{1,4}]=>[{1,4},{5},{2,3}]=>[2,1,2]
[{2,4},{3},{1,5}]=>[{1,5},{3},{2,4}]=>[2,1,2]
[{2,5},{3},{1,4}]=>[{1,4},{3},{2,5}]=>[2,1,2]
[{2,4},{5},{1,3}]=>[{1,3},{5},{2,4}]=>[2,1,2]
[{2,5},{4},{1,3}]=>[{1,3},{4},{2,5}]=>[2,1,2]
[{3,4},{2},{1,5}]=>[{1,5},{2},{3,4}]=>[2,1,2]
[{3,5},{2},{1,4}]=>[{1,4},{2},{3,5}]=>[2,1,2]
[{4,5},{2},{1,3}]=>[{1,3},{2},{4,5}]=>[2,1,2]
[{3,4},{5},{1,2}]=>[{1,2},{5},{3,4}]=>[2,1,2]
[{3,5},{4},{1,2}]=>[{1,2},{4},{3,5}]=>[2,1,2]
[{4,5},{3},{1,2}]=>[{1,2},{3},{4,5}]=>[2,1,2]
[{1,2},{3,4},{5}]=>[{5},{3,4},{1,2}]=>[1,2,2]
[{1,2},{3,5},{4}]=>[{4},{3,5},{1,2}]=>[1,2,2]
[{1,2},{4,5},{3}]=>[{3},{4,5},{1,2}]=>[1,2,2]
[{1,3},{2,4},{5}]=>[{5},{2,4},{1,3}]=>[1,2,2]
[{1,3},{2,5},{4}]=>[{4},{2,5},{1,3}]=>[1,2,2]
[{1,4},{2,3},{5}]=>[{5},{2,3},{1,4}]=>[1,2,2]
[{1,5},{2,3},{4}]=>[{4},{2,3},{1,5}]=>[1,2,2]
[{1,4},{2,5},{3}]=>[{3},{2,5},{1,4}]=>[1,2,2]
[{1,5},{2,4},{3}]=>[{3},{2,4},{1,5}]=>[1,2,2]
[{1,3},{4,5},{2}]=>[{2},{4,5},{1,3}]=>[1,2,2]
[{1,4},{3,5},{2}]=>[{2},{3,5},{1,4}]=>[1,2,2]
[{1,5},{3,4},{2}]=>[{2},{3,4},{1,5}]=>[1,2,2]
[{2,3},{1,4},{5}]=>[{5},{1,4},{2,3}]=>[1,2,2]
[{2,3},{1,5},{4}]=>[{4},{1,5},{2,3}]=>[1,2,2]
[{2,4},{1,3},{5}]=>[{5},{1,3},{2,4}]=>[1,2,2]
[{2,5},{1,3},{4}]=>[{4},{1,3},{2,5}]=>[1,2,2]
[{2,4},{1,5},{3}]=>[{3},{1,5},{2,4}]=>[1,2,2]
[{2,5},{1,4},{3}]=>[{3},{1,4},{2,5}]=>[1,2,2]
[{3,4},{1,2},{5}]=>[{5},{1,2},{3,4}]=>[1,2,2]
[{3,5},{1,2},{4}]=>[{4},{1,2},{3,5}]=>[1,2,2]
[{4,5},{1,2},{3}]=>[{3},{1,2},{4,5}]=>[1,2,2]
[{3,4},{1,5},{2}]=>[{2},{1,5},{3,4}]=>[1,2,2]
[{3,5},{1,4},{2}]=>[{2},{1,4},{3,5}]=>[1,2,2]
[{4,5},{1,3},{2}]=>[{2},{1,3},{4,5}]=>[1,2,2]
[{2,3},{4,5},{1}]=>[{1},{4,5},{2,3}]=>[1,2,2]
[{2,4},{3,5},{1}]=>[{1},{3,5},{2,4}]=>[1,2,2]
[{2,5},{3,4},{1}]=>[{1},{3,4},{2,5}]=>[1,2,2]
[{3,4},{2,5},{1}]=>[{1},{2,5},{3,4}]=>[1,2,2]
[{3,5},{2,4},{1}]=>[{1},{2,4},{3,5}]=>[1,2,2]
[{4,5},{2,3},{1}]=>[{1},{2,3},{4,5}]=>[1,2,2]
[{1,2},{3,4,5}]=>[{3,4,5},{1,2}]=>[3,2]
[{1,3},{2,4,5}]=>[{2,4,5},{1,3}]=>[3,2]
[{1,4},{2,3,5}]=>[{2,3,5},{1,4}]=>[3,2]
[{1,5},{2,3,4}]=>[{2,3,4},{1,5}]=>[3,2]
[{2,3},{1,4,5}]=>[{1,4,5},{2,3}]=>[3,2]
[{2,4},{1,3,5}]=>[{1,3,5},{2,4}]=>[3,2]
[{2,5},{1,3,4}]=>[{1,3,4},{2,5}]=>[3,2]
[{3,4},{1,2,5}]=>[{1,2,5},{3,4}]=>[3,2]
[{3,5},{1,2,4}]=>[{1,2,4},{3,5}]=>[3,2]
[{4,5},{1,2,3}]=>[{1,2,3},{4,5}]=>[3,2]
[{1,2,3},{4},{5}]=>[{5},{4},{1,2,3}]=>[1,1,3]
[{1,2,3},{5},{4}]=>[{4},{5},{1,2,3}]=>[1,1,3]
[{1,2,4},{3},{5}]=>[{5},{3},{1,2,4}]=>[1,1,3]
[{1,2,5},{3},{4}]=>[{4},{3},{1,2,5}]=>[1,1,3]
[{1,2,4},{5},{3}]=>[{3},{5},{1,2,4}]=>[1,1,3]
[{1,2,5},{4},{3}]=>[{3},{4},{1,2,5}]=>[1,1,3]
[{1,3,4},{2},{5}]=>[{5},{2},{1,3,4}]=>[1,1,3]
[{1,3,5},{2},{4}]=>[{4},{2},{1,3,5}]=>[1,1,3]
[{1,4,5},{2},{3}]=>[{3},{2},{1,4,5}]=>[1,1,3]
[{1,3,4},{5},{2}]=>[{2},{5},{1,3,4}]=>[1,1,3]
[{1,3,5},{4},{2}]=>[{2},{4},{1,3,5}]=>[1,1,3]
[{1,4,5},{3},{2}]=>[{2},{3},{1,4,5}]=>[1,1,3]
[{2,3,4},{1},{5}]=>[{5},{1},{2,3,4}]=>[1,1,3]
[{2,3,5},{1},{4}]=>[{4},{1},{2,3,5}]=>[1,1,3]
[{2,4,5},{1},{3}]=>[{3},{1},{2,4,5}]=>[1,1,3]
[{3,4,5},{1},{2}]=>[{2},{1},{3,4,5}]=>[1,1,3]
[{2,3,4},{5},{1}]=>[{1},{5},{2,3,4}]=>[1,1,3]
[{2,3,5},{4},{1}]=>[{1},{4},{2,3,5}]=>[1,1,3]
[{2,4,5},{3},{1}]=>[{1},{3},{2,4,5}]=>[1,1,3]
[{3,4,5},{2},{1}]=>[{1},{2},{3,4,5}]=>[1,1,3]
[{1,2,3},{4,5}]=>[{4,5},{1,2,3}]=>[2,3]
[{1,2,4},{3,5}]=>[{3,5},{1,2,4}]=>[2,3]
[{1,2,5},{3,4}]=>[{3,4},{1,2,5}]=>[2,3]
[{1,3,4},{2,5}]=>[{2,5},{1,3,4}]=>[2,3]
[{1,3,5},{2,4}]=>[{2,4},{1,3,5}]=>[2,3]
[{1,4,5},{2,3}]=>[{2,3},{1,4,5}]=>[2,3]
[{2,3,4},{1,5}]=>[{1,5},{2,3,4}]=>[2,3]
[{2,3,5},{1,4}]=>[{1,4},{2,3,5}]=>[2,3]
[{2,4,5},{1,3}]=>[{1,3},{2,4,5}]=>[2,3]
[{3,4,5},{1,2}]=>[{1,2},{3,4,5}]=>[2,3]
[{1,2,3,4},{5}]=>[{5},{1,2,3,4}]=>[1,4]
[{1,2,3,5},{4}]=>[{4},{1,2,3,5}]=>[1,4]
[{1,2,4,5},{3}]=>[{3},{1,2,4,5}]=>[1,4]
[{1,3,4,5},{2}]=>[{2},{1,3,4,5}]=>[1,4]
[{2,3,4,5},{1}]=>[{1},{2,3,4,5}]=>[1,4]
[{1,2,3,4,5}]=>[{1,2,3,4,5}]=>[5]
[{1},{2},{3},{4},{5},{6}]=>[{6},{5},{4},{3},{2},{1}]=>[1,1,1,1,1,1]
[{1},{2},{3},{4},{6},{5}]=>[{5},{6},{4},{3},{2},{1}]=>[1,1,1,1,1,1]
[{1},{2},{3},{5},{4},{6}]=>[{6},{4},{5},{3},{2},{1}]=>[1,1,1,1,1,1]
[{1},{2},{3},{6},{4},{5}]=>[{5},{4},{6},{3},{2},{1}]=>[1,1,1,1,1,1]
[{1},{2},{3},{5},{6},{4}]=>[{4},{6},{5},{3},{2},{1}]=>[1,1,1,1,1,1]
[{1},{2},{3},{6},{5},{4}]=>[{4},{5},{6},{3},{2},{1}]=>[1,1,1,1,1,1]
[{1},{2},{4},{3},{5},{6}]=>[{6},{5},{3},{4},{2},{1}]=>[1,1,1,1,1,1]
[{1},{2},{4},{3},{6},{5}]=>[{5},{6},{3},{4},{2},{1}]=>[1,1,1,1,1,1]
[{1},{2},{5},{3},{4},{6}]=>[{6},{4},{3},{5},{2},{1}]=>[1,1,1,1,1,1]
[{1},{2},{6},{3},{4},{5}]=>[{5},{4},{3},{6},{2},{1}]=>[1,1,1,1,1,1]
[{1},{2},{5},{3},{6},{4}]=>[{4},{6},{3},{5},{2},{1}]=>[1,1,1,1,1,1]
[{1},{2},{6},{3},{5},{4}]=>[{4},{5},{3},{6},{2},{1}]=>[1,1,1,1,1,1]
[{1},{2},{4},{5},{3},{6}]=>[{6},{3},{5},{4},{2},{1}]=>[1,1,1,1,1,1]
[{1},{2},{4},{6},{3},{5}]=>[{5},{3},{6},{4},{2},{1}]=>[1,1,1,1,1,1]
[{1},{2},{5},{4},{3},{6}]=>[{6},{3},{4},{5},{2},{1}]=>[1,1,1,1,1,1]
[{1},{2},{6},{4},{3},{5}]=>[{5},{3},{4},{6},{2},{1}]=>[1,1,1,1,1,1]
[{1},{2},{5},{6},{3},{4}]=>[{4},{3},{6},{5},{2},{1}]=>[1,1,1,1,1,1]
[{1},{2},{6},{5},{3},{4}]=>[{4},{3},{5},{6},{2},{1}]=>[1,1,1,1,1,1]
[{1},{2},{4},{5},{6},{3}]=>[{3},{6},{5},{4},{2},{1}]=>[1,1,1,1,1,1]
[{1},{2},{4},{6},{5},{3}]=>[{3},{5},{6},{4},{2},{1}]=>[1,1,1,1,1,1]
[{1},{2},{5},{4},{6},{3}]=>[{3},{6},{4},{5},{2},{1}]=>[1,1,1,1,1,1]
[{1},{2},{6},{4},{5},{3}]=>[{3},{5},{4},{6},{2},{1}]=>[1,1,1,1,1,1]
[{1},{2},{5},{6},{4},{3}]=>[{3},{4},{6},{5},{2},{1}]=>[1,1,1,1,1,1]
[{1},{2},{6},{5},{4},{3}]=>[{3},{4},{5},{6},{2},{1}]=>[1,1,1,1,1,1]
[{1},{3},{2},{4},{5},{6}]=>[{6},{5},{4},{2},{3},{1}]=>[1,1,1,1,1,1]
[{1},{3},{2},{4},{6},{5}]=>[{5},{6},{4},{2},{3},{1}]=>[1,1,1,1,1,1]
[{1},{3},{2},{5},{4},{6}]=>[{6},{4},{5},{2},{3},{1}]=>[1,1,1,1,1,1]
[{1},{3},{2},{6},{4},{5}]=>[{5},{4},{6},{2},{3},{1}]=>[1,1,1,1,1,1]
[{1},{3},{2},{5},{6},{4}]=>[{4},{6},{5},{2},{3},{1}]=>[1,1,1,1,1,1]
[{1},{3},{2},{6},{5},{4}]=>[{4},{5},{6},{2},{3},{1}]=>[1,1,1,1,1,1]
[{1},{4},{2},{3},{5},{6}]=>[{6},{5},{3},{2},{4},{1}]=>[1,1,1,1,1,1]
[{1},{4},{2},{3},{6},{5}]=>[{5},{6},{3},{2},{4},{1}]=>[1,1,1,1,1,1]
[{1},{5},{2},{3},{4},{6}]=>[{6},{4},{3},{2},{5},{1}]=>[1,1,1,1,1,1]
[{1},{6},{2},{3},{4},{5}]=>[{5},{4},{3},{2},{6},{1}]=>[1,1,1,1,1,1]
[{1},{5},{2},{3},{6},{4}]=>[{4},{6},{3},{2},{5},{1}]=>[1,1,1,1,1,1]
[{1},{6},{2},{3},{5},{4}]=>[{4},{5},{3},{2},{6},{1}]=>[1,1,1,1,1,1]
[{1},{4},{2},{5},{3},{6}]=>[{6},{3},{5},{2},{4},{1}]=>[1,1,1,1,1,1]
[{1},{4},{2},{6},{3},{5}]=>[{5},{3},{6},{2},{4},{1}]=>[1,1,1,1,1,1]
[{1},{5},{2},{4},{3},{6}]=>[{6},{3},{4},{2},{5},{1}]=>[1,1,1,1,1,1]
[{1},{6},{2},{4},{3},{5}]=>[{5},{3},{4},{2},{6},{1}]=>[1,1,1,1,1,1]
[{1},{5},{2},{6},{3},{4}]=>[{4},{3},{6},{2},{5},{1}]=>[1,1,1,1,1,1]
[{1},{6},{2},{5},{3},{4}]=>[{4},{3},{5},{2},{6},{1}]=>[1,1,1,1,1,1]
[{1},{4},{2},{5},{6},{3}]=>[{3},{6},{5},{2},{4},{1}]=>[1,1,1,1,1,1]
[{1},{4},{2},{6},{5},{3}]=>[{3},{5},{6},{2},{4},{1}]=>[1,1,1,1,1,1]
[{1},{5},{2},{4},{6},{3}]=>[{3},{6},{4},{2},{5},{1}]=>[1,1,1,1,1,1]
[{1},{6},{2},{4},{5},{3}]=>[{3},{5},{4},{2},{6},{1}]=>[1,1,1,1,1,1]
[{1},{5},{2},{6},{4},{3}]=>[{3},{4},{6},{2},{5},{1}]=>[1,1,1,1,1,1]
[{1},{6},{2},{5},{4},{3}]=>[{3},{4},{5},{2},{6},{1}]=>[1,1,1,1,1,1]
[{1},{3},{4},{2},{5},{6}]=>[{6},{5},{2},{4},{3},{1}]=>[1,1,1,1,1,1]
[{1},{3},{4},{2},{6},{5}]=>[{5},{6},{2},{4},{3},{1}]=>[1,1,1,1,1,1]
[{1},{3},{5},{2},{4},{6}]=>[{6},{4},{2},{5},{3},{1}]=>[1,1,1,1,1,1]
[{1},{3},{6},{2},{4},{5}]=>[{5},{4},{2},{6},{3},{1}]=>[1,1,1,1,1,1]
[{1},{3},{5},{2},{6},{4}]=>[{4},{6},{2},{5},{3},{1}]=>[1,1,1,1,1,1]
[{1},{3},{6},{2},{5},{4}]=>[{4},{5},{2},{6},{3},{1}]=>[1,1,1,1,1,1]
[{1},{4},{3},{2},{5},{6}]=>[{6},{5},{2},{3},{4},{1}]=>[1,1,1,1,1,1]
[{1},{4},{3},{2},{6},{5}]=>[{5},{6},{2},{3},{4},{1}]=>[1,1,1,1,1,1]
[{1},{5},{3},{2},{4},{6}]=>[{6},{4},{2},{3},{5},{1}]=>[1,1,1,1,1,1]
[{1},{6},{3},{2},{4},{5}]=>[{5},{4},{2},{3},{6},{1}]=>[1,1,1,1,1,1]
[{1},{5},{3},{2},{6},{4}]=>[{4},{6},{2},{3},{5},{1}]=>[1,1,1,1,1,1]
[{1},{6},{3},{2},{5},{4}]=>[{4},{5},{2},{3},{6},{1}]=>[1,1,1,1,1,1]
[{1},{4},{5},{2},{3},{6}]=>[{6},{3},{2},{5},{4},{1}]=>[1,1,1,1,1,1]
[{1},{4},{6},{2},{3},{5}]=>[{5},{3},{2},{6},{4},{1}]=>[1,1,1,1,1,1]
[{1},{5},{4},{2},{3},{6}]=>[{6},{3},{2},{4},{5},{1}]=>[1,1,1,1,1,1]
[{1},{6},{4},{2},{3},{5}]=>[{5},{3},{2},{4},{6},{1}]=>[1,1,1,1,1,1]
[{1},{5},{6},{2},{3},{4}]=>[{4},{3},{2},{6},{5},{1}]=>[1,1,1,1,1,1]
[{1},{6},{5},{2},{3},{4}]=>[{4},{3},{2},{5},{6},{1}]=>[1,1,1,1,1,1]
[{1},{4},{5},{2},{6},{3}]=>[{3},{6},{2},{5},{4},{1}]=>[1,1,1,1,1,1]
[{1},{4},{6},{2},{5},{3}]=>[{3},{5},{2},{6},{4},{1}]=>[1,1,1,1,1,1]
[{1},{5},{4},{2},{6},{3}]=>[{3},{6},{2},{4},{5},{1}]=>[1,1,1,1,1,1]
[{1},{6},{4},{2},{5},{3}]=>[{3},{5},{2},{4},{6},{1}]=>[1,1,1,1,1,1]
[{1},{5},{6},{2},{4},{3}]=>[{3},{4},{2},{6},{5},{1}]=>[1,1,1,1,1,1]
[{1},{6},{5},{2},{4},{3}]=>[{3},{4},{2},{5},{6},{1}]=>[1,1,1,1,1,1]
[{1},{3},{4},{5},{2},{6}]=>[{6},{2},{5},{4},{3},{1}]=>[1,1,1,1,1,1]
[{1},{3},{4},{6},{2},{5}]=>[{5},{2},{6},{4},{3},{1}]=>[1,1,1,1,1,1]
[{1},{3},{5},{4},{2},{6}]=>[{6},{2},{4},{5},{3},{1}]=>[1,1,1,1,1,1]
[{1},{3},{6},{4},{2},{5}]=>[{5},{2},{4},{6},{3},{1}]=>[1,1,1,1,1,1]
[{1},{3},{5},{6},{2},{4}]=>[{4},{2},{6},{5},{3},{1}]=>[1,1,1,1,1,1]
[{1},{3},{6},{5},{2},{4}]=>[{4},{2},{5},{6},{3},{1}]=>[1,1,1,1,1,1]
[{1},{4},{3},{5},{2},{6}]=>[{6},{2},{5},{3},{4},{1}]=>[1,1,1,1,1,1]
[{1},{4},{3},{6},{2},{5}]=>[{5},{2},{6},{3},{4},{1}]=>[1,1,1,1,1,1]
[{1},{5},{3},{4},{2},{6}]=>[{6},{2},{4},{3},{5},{1}]=>[1,1,1,1,1,1]
[{1},{6},{3},{4},{2},{5}]=>[{5},{2},{4},{3},{6},{1}]=>[1,1,1,1,1,1]
[{1},{5},{3},{6},{2},{4}]=>[{4},{2},{6},{3},{5},{1}]=>[1,1,1,1,1,1]
[{1},{6},{3},{5},{2},{4}]=>[{4},{2},{5},{3},{6},{1}]=>[1,1,1,1,1,1]
[{1},{4},{5},{3},{2},{6}]=>[{6},{2},{3},{5},{4},{1}]=>[1,1,1,1,1,1]
[{1},{4},{6},{3},{2},{5}]=>[{5},{2},{3},{6},{4},{1}]=>[1,1,1,1,1,1]
[{1},{5},{4},{3},{2},{6}]=>[{6},{2},{3},{4},{5},{1}]=>[1,1,1,1,1,1]
[{1},{6},{4},{3},{2},{5}]=>[{5},{2},{3},{4},{6},{1}]=>[1,1,1,1,1,1]
[{1},{5},{6},{3},{2},{4}]=>[{4},{2},{3},{6},{5},{1}]=>[1,1,1,1,1,1]
[{1},{6},{5},{3},{2},{4}]=>[{4},{2},{3},{5},{6},{1}]=>[1,1,1,1,1,1]
[{1},{4},{5},{6},{2},{3}]=>[{3},{2},{6},{5},{4},{1}]=>[1,1,1,1,1,1]
[{1},{4},{6},{5},{2},{3}]=>[{3},{2},{5},{6},{4},{1}]=>[1,1,1,1,1,1]
[{1},{5},{4},{6},{2},{3}]=>[{3},{2},{6},{4},{5},{1}]=>[1,1,1,1,1,1]
[{1},{6},{4},{5},{2},{3}]=>[{3},{2},{5},{4},{6},{1}]=>[1,1,1,1,1,1]
[{1},{5},{6},{4},{2},{3}]=>[{3},{2},{4},{6},{5},{1}]=>[1,1,1,1,1,1]
[{1},{6},{5},{4},{2},{3}]=>[{3},{2},{4},{5},{6},{1}]=>[1,1,1,1,1,1]
[{1},{3},{4},{5},{6},{2}]=>[{2},{6},{5},{4},{3},{1}]=>[1,1,1,1,1,1]
[{1},{3},{4},{6},{5},{2}]=>[{2},{5},{6},{4},{3},{1}]=>[1,1,1,1,1,1]
[{1},{3},{5},{4},{6},{2}]=>[{2},{6},{4},{5},{3},{1}]=>[1,1,1,1,1,1]
[{1},{3},{6},{4},{5},{2}]=>[{2},{5},{4},{6},{3},{1}]=>[1,1,1,1,1,1]
[{1},{3},{5},{6},{4},{2}]=>[{2},{4},{6},{5},{3},{1}]=>[1,1,1,1,1,1]
[{1},{3},{6},{5},{4},{2}]=>[{2},{4},{5},{6},{3},{1}]=>[1,1,1,1,1,1]
[{1},{4},{3},{5},{6},{2}]=>[{2},{6},{5},{3},{4},{1}]=>[1,1,1,1,1,1]
[{1},{4},{3},{6},{5},{2}]=>[{2},{5},{6},{3},{4},{1}]=>[1,1,1,1,1,1]
[{1},{5},{3},{4},{6},{2}]=>[{2},{6},{4},{3},{5},{1}]=>[1,1,1,1,1,1]
[{1},{6},{3},{4},{5},{2}]=>[{2},{5},{4},{3},{6},{1}]=>[1,1,1,1,1,1]
[{1},{5},{3},{6},{4},{2}]=>[{2},{4},{6},{3},{5},{1}]=>[1,1,1,1,1,1]
[{1},{6},{3},{5},{4},{2}]=>[{2},{4},{5},{3},{6},{1}]=>[1,1,1,1,1,1]
[{1},{4},{5},{3},{6},{2}]=>[{2},{6},{3},{5},{4},{1}]=>[1,1,1,1,1,1]
[{1},{4},{6},{3},{5},{2}]=>[{2},{5},{3},{6},{4},{1}]=>[1,1,1,1,1,1]
[{1},{5},{4},{3},{6},{2}]=>[{2},{6},{3},{4},{5},{1}]=>[1,1,1,1,1,1]
[{1},{6},{4},{3},{5},{2}]=>[{2},{5},{3},{4},{6},{1}]=>[1,1,1,1,1,1]
[{1},{5},{6},{3},{4},{2}]=>[{2},{4},{3},{6},{5},{1}]=>[1,1,1,1,1,1]
[{1},{6},{5},{3},{4},{2}]=>[{2},{4},{3},{5},{6},{1}]=>[1,1,1,1,1,1]
[{1},{4},{5},{6},{3},{2}]=>[{2},{3},{6},{5},{4},{1}]=>[1,1,1,1,1,1]
[{1},{4},{6},{5},{3},{2}]=>[{2},{3},{5},{6},{4},{1}]=>[1,1,1,1,1,1]
[{1},{5},{4},{6},{3},{2}]=>[{2},{3},{6},{4},{5},{1}]=>[1,1,1,1,1,1]
[{1},{6},{4},{5},{3},{2}]=>[{2},{3},{5},{4},{6},{1}]=>[1,1,1,1,1,1]
[{1},{5},{6},{4},{3},{2}]=>[{2},{3},{4},{6},{5},{1}]=>[1,1,1,1,1,1]
[{1},{6},{5},{4},{3},{2}]=>[{2},{3},{4},{5},{6},{1}]=>[1,1,1,1,1,1]
[{2},{1},{3},{4},{5},{6}]=>[{6},{5},{4},{3},{1},{2}]=>[1,1,1,1,1,1]
[{2},{1},{3},{4},{6},{5}]=>[{5},{6},{4},{3},{1},{2}]=>[1,1,1,1,1,1]
[{2},{1},{3},{5},{4},{6}]=>[{6},{4},{5},{3},{1},{2}]=>[1,1,1,1,1,1]
[{2},{1},{3},{6},{4},{5}]=>[{5},{4},{6},{3},{1},{2}]=>[1,1,1,1,1,1]
[{2},{1},{3},{5},{6},{4}]=>[{4},{6},{5},{3},{1},{2}]=>[1,1,1,1,1,1]
[{2},{1},{3},{6},{5},{4}]=>[{4},{5},{6},{3},{1},{2}]=>[1,1,1,1,1,1]
[{2},{1},{4},{3},{5},{6}]=>[{6},{5},{3},{4},{1},{2}]=>[1,1,1,1,1,1]
[{2},{1},{4},{3},{6},{5}]=>[{5},{6},{3},{4},{1},{2}]=>[1,1,1,1,1,1]
[{2},{1},{5},{3},{4},{6}]=>[{6},{4},{3},{5},{1},{2}]=>[1,1,1,1,1,1]
[{2},{1},{6},{3},{4},{5}]=>[{5},{4},{3},{6},{1},{2}]=>[1,1,1,1,1,1]
[{2},{1},{5},{3},{6},{4}]=>[{4},{6},{3},{5},{1},{2}]=>[1,1,1,1,1,1]
[{2},{1},{6},{3},{5},{4}]=>[{4},{5},{3},{6},{1},{2}]=>[1,1,1,1,1,1]
[{2},{1},{4},{5},{3},{6}]=>[{6},{3},{5},{4},{1},{2}]=>[1,1,1,1,1,1]
[{2},{1},{4},{6},{3},{5}]=>[{5},{3},{6},{4},{1},{2}]=>[1,1,1,1,1,1]
[{2},{1},{5},{4},{3},{6}]=>[{6},{3},{4},{5},{1},{2}]=>[1,1,1,1,1,1]
[{2},{1},{6},{4},{3},{5}]=>[{5},{3},{4},{6},{1},{2}]=>[1,1,1,1,1,1]
[{2},{1},{5},{6},{3},{4}]=>[{4},{3},{6},{5},{1},{2}]=>[1,1,1,1,1,1]
[{2},{1},{6},{5},{3},{4}]=>[{4},{3},{5},{6},{1},{2}]=>[1,1,1,1,1,1]
[{2},{1},{4},{5},{6},{3}]=>[{3},{6},{5},{4},{1},{2}]=>[1,1,1,1,1,1]
[{2},{1},{4},{6},{5},{3}]=>[{3},{5},{6},{4},{1},{2}]=>[1,1,1,1,1,1]
[{2},{1},{5},{4},{6},{3}]=>[{3},{6},{4},{5},{1},{2}]=>[1,1,1,1,1,1]
[{2},{1},{6},{4},{5},{3}]=>[{3},{5},{4},{6},{1},{2}]=>[1,1,1,1,1,1]
[{2},{1},{5},{6},{4},{3}]=>[{3},{4},{6},{5},{1},{2}]=>[1,1,1,1,1,1]
[{2},{1},{6},{5},{4},{3}]=>[{3},{4},{5},{6},{1},{2}]=>[1,1,1,1,1,1]
[{3},{1},{2},{4},{5},{6}]=>[{6},{5},{4},{2},{1},{3}]=>[1,1,1,1,1,1]
[{3},{1},{2},{4},{6},{5}]=>[{5},{6},{4},{2},{1},{3}]=>[1,1,1,1,1,1]
[{3},{1},{2},{5},{4},{6}]=>[{6},{4},{5},{2},{1},{3}]=>[1,1,1,1,1,1]
[{3},{1},{2},{6},{4},{5}]=>[{5},{4},{6},{2},{1},{3}]=>[1,1,1,1,1,1]
[{3},{1},{2},{5},{6},{4}]=>[{4},{6},{5},{2},{1},{3}]=>[1,1,1,1,1,1]
[{3},{1},{2},{6},{5},{4}]=>[{4},{5},{6},{2},{1},{3}]=>[1,1,1,1,1,1]
[{4},{1},{2},{3},{5},{6}]=>[{6},{5},{3},{2},{1},{4}]=>[1,1,1,1,1,1]
[{4},{1},{2},{3},{6},{5}]=>[{5},{6},{3},{2},{1},{4}]=>[1,1,1,1,1,1]
[{5},{1},{2},{3},{4},{6}]=>[{6},{4},{3},{2},{1},{5}]=>[1,1,1,1,1,1]
[{6},{1},{2},{3},{4},{5}]=>[{5},{4},{3},{2},{1},{6}]=>[1,1,1,1,1,1]
[{5},{1},{2},{3},{6},{4}]=>[{4},{6},{3},{2},{1},{5}]=>[1,1,1,1,1,1]
[{6},{1},{2},{3},{5},{4}]=>[{4},{5},{3},{2},{1},{6}]=>[1,1,1,1,1,1]
[{4},{1},{2},{5},{3},{6}]=>[{6},{3},{5},{2},{1},{4}]=>[1,1,1,1,1,1]
[{4},{1},{2},{6},{3},{5}]=>[{5},{3},{6},{2},{1},{4}]=>[1,1,1,1,1,1]
[{5},{1},{2},{4},{3},{6}]=>[{6},{3},{4},{2},{1},{5}]=>[1,1,1,1,1,1]
[{6},{1},{2},{4},{3},{5}]=>[{5},{3},{4},{2},{1},{6}]=>[1,1,1,1,1,1]
[{5},{1},{2},{6},{3},{4}]=>[{4},{3},{6},{2},{1},{5}]=>[1,1,1,1,1,1]
[{6},{1},{2},{5},{3},{4}]=>[{4},{3},{5},{2},{1},{6}]=>[1,1,1,1,1,1]
[{4},{1},{2},{5},{6},{3}]=>[{3},{6},{5},{2},{1},{4}]=>[1,1,1,1,1,1]
[{4},{1},{2},{6},{5},{3}]=>[{3},{5},{6},{2},{1},{4}]=>[1,1,1,1,1,1]
[{5},{1},{2},{4},{6},{3}]=>[{3},{6},{4},{2},{1},{5}]=>[1,1,1,1,1,1]
[{6},{1},{2},{4},{5},{3}]=>[{3},{5},{4},{2},{1},{6}]=>[1,1,1,1,1,1]
[{5},{1},{2},{6},{4},{3}]=>[{3},{4},{6},{2},{1},{5}]=>[1,1,1,1,1,1]
[{6},{1},{2},{5},{4},{3}]=>[{3},{4},{5},{2},{1},{6}]=>[1,1,1,1,1,1]
[{3},{1},{4},{2},{5},{6}]=>[{6},{5},{2},{4},{1},{3}]=>[1,1,1,1,1,1]
[{3},{1},{4},{2},{6},{5}]=>[{5},{6},{2},{4},{1},{3}]=>[1,1,1,1,1,1]
[{3},{1},{5},{2},{4},{6}]=>[{6},{4},{2},{5},{1},{3}]=>[1,1,1,1,1,1]
[{3},{1},{6},{2},{4},{5}]=>[{5},{4},{2},{6},{1},{3}]=>[1,1,1,1,1,1]
[{3},{1},{5},{2},{6},{4}]=>[{4},{6},{2},{5},{1},{3}]=>[1,1,1,1,1,1]
[{3},{1},{6},{2},{5},{4}]=>[{4},{5},{2},{6},{1},{3}]=>[1,1,1,1,1,1]
[{4},{1},{3},{2},{5},{6}]=>[{6},{5},{2},{3},{1},{4}]=>[1,1,1,1,1,1]
[{4},{1},{3},{2},{6},{5}]=>[{5},{6},{2},{3},{1},{4}]=>[1,1,1,1,1,1]
[{5},{1},{3},{2},{4},{6}]=>[{6},{4},{2},{3},{1},{5}]=>[1,1,1,1,1,1]
[{6},{1},{3},{2},{4},{5}]=>[{5},{4},{2},{3},{1},{6}]=>[1,1,1,1,1,1]
[{5},{1},{3},{2},{6},{4}]=>[{4},{6},{2},{3},{1},{5}]=>[1,1,1,1,1,1]
[{6},{1},{3},{2},{5},{4}]=>[{4},{5},{2},{3},{1},{6}]=>[1,1,1,1,1,1]
[{4},{1},{5},{2},{3},{6}]=>[{6},{3},{2},{5},{1},{4}]=>[1,1,1,1,1,1]
[{4},{1},{6},{2},{3},{5}]=>[{5},{3},{2},{6},{1},{4}]=>[1,1,1,1,1,1]
[{5},{1},{4},{2},{3},{6}]=>[{6},{3},{2},{4},{1},{5}]=>[1,1,1,1,1,1]
[{6},{1},{4},{2},{3},{5}]=>[{5},{3},{2},{4},{1},{6}]=>[1,1,1,1,1,1]
[{5},{1},{6},{2},{3},{4}]=>[{4},{3},{2},{6},{1},{5}]=>[1,1,1,1,1,1]
[{6},{1},{5},{2},{3},{4}]=>[{4},{3},{2},{5},{1},{6}]=>[1,1,1,1,1,1]
[{4},{1},{5},{2},{6},{3}]=>[{3},{6},{2},{5},{1},{4}]=>[1,1,1,1,1,1]
[{4},{1},{6},{2},{5},{3}]=>[{3},{5},{2},{6},{1},{4}]=>[1,1,1,1,1,1]
[{5},{1},{4},{2},{6},{3}]=>[{3},{6},{2},{4},{1},{5}]=>[1,1,1,1,1,1]
[{6},{1},{4},{2},{5},{3}]=>[{3},{5},{2},{4},{1},{6}]=>[1,1,1,1,1,1]
[{5},{1},{6},{2},{4},{3}]=>[{3},{4},{2},{6},{1},{5}]=>[1,1,1,1,1,1]
[{6},{1},{5},{2},{4},{3}]=>[{3},{4},{2},{5},{1},{6}]=>[1,1,1,1,1,1]
[{3},{1},{4},{5},{2},{6}]=>[{6},{2},{5},{4},{1},{3}]=>[1,1,1,1,1,1]
[{3},{1},{4},{6},{2},{5}]=>[{5},{2},{6},{4},{1},{3}]=>[1,1,1,1,1,1]
[{3},{1},{5},{4},{2},{6}]=>[{6},{2},{4},{5},{1},{3}]=>[1,1,1,1,1,1]
[{3},{1},{6},{4},{2},{5}]=>[{5},{2},{4},{6},{1},{3}]=>[1,1,1,1,1,1]
[{3},{1},{5},{6},{2},{4}]=>[{4},{2},{6},{5},{1},{3}]=>[1,1,1,1,1,1]
[{3},{1},{6},{5},{2},{4}]=>[{4},{2},{5},{6},{1},{3}]=>[1,1,1,1,1,1]
[{4},{1},{3},{5},{2},{6}]=>[{6},{2},{5},{3},{1},{4}]=>[1,1,1,1,1,1]
[{4},{1},{3},{6},{2},{5}]=>[{5},{2},{6},{3},{1},{4}]=>[1,1,1,1,1,1]
[{5},{1},{3},{4},{2},{6}]=>[{6},{2},{4},{3},{1},{5}]=>[1,1,1,1,1,1]
[{6},{1},{3},{4},{2},{5}]=>[{5},{2},{4},{3},{1},{6}]=>[1,1,1,1,1,1]
[{5},{1},{3},{6},{2},{4}]=>[{4},{2},{6},{3},{1},{5}]=>[1,1,1,1,1,1]
[{6},{1},{3},{5},{2},{4}]=>[{4},{2},{5},{3},{1},{6}]=>[1,1,1,1,1,1]
[{4},{1},{5},{3},{2},{6}]=>[{6},{2},{3},{5},{1},{4}]=>[1,1,1,1,1,1]
[{4},{1},{6},{3},{2},{5}]=>[{5},{2},{3},{6},{1},{4}]=>[1,1,1,1,1,1]
[{5},{1},{4},{3},{2},{6}]=>[{6},{2},{3},{4},{1},{5}]=>[1,1,1,1,1,1]
[{6},{1},{4},{3},{2},{5}]=>[{5},{2},{3},{4},{1},{6}]=>[1,1,1,1,1,1]
[{5},{1},{6},{3},{2},{4}]=>[{4},{2},{3},{6},{1},{5}]=>[1,1,1,1,1,1]
[{6},{1},{5},{3},{2},{4}]=>[{4},{2},{3},{5},{1},{6}]=>[1,1,1,1,1,1]
[{4},{1},{5},{6},{2},{3}]=>[{3},{2},{6},{5},{1},{4}]=>[1,1,1,1,1,1]
[{4},{1},{6},{5},{2},{3}]=>[{3},{2},{5},{6},{1},{4}]=>[1,1,1,1,1,1]
[{5},{1},{4},{6},{2},{3}]=>[{3},{2},{6},{4},{1},{5}]=>[1,1,1,1,1,1]
[{6},{1},{4},{5},{2},{3}]=>[{3},{2},{5},{4},{1},{6}]=>[1,1,1,1,1,1]
[{5},{1},{6},{4},{2},{3}]=>[{3},{2},{4},{6},{1},{5}]=>[1,1,1,1,1,1]
[{6},{1},{5},{4},{2},{3}]=>[{3},{2},{4},{5},{1},{6}]=>[1,1,1,1,1,1]
[{3},{1},{4},{5},{6},{2}]=>[{2},{6},{5},{4},{1},{3}]=>[1,1,1,1,1,1]
[{3},{1},{4},{6},{5},{2}]=>[{2},{5},{6},{4},{1},{3}]=>[1,1,1,1,1,1]
[{3},{1},{5},{4},{6},{2}]=>[{2},{6},{4},{5},{1},{3}]=>[1,1,1,1,1,1]
[{3},{1},{6},{4},{5},{2}]=>[{2},{5},{4},{6},{1},{3}]=>[1,1,1,1,1,1]
[{3},{1},{5},{6},{4},{2}]=>[{2},{4},{6},{5},{1},{3}]=>[1,1,1,1,1,1]
[{3},{1},{6},{5},{4},{2}]=>[{2},{4},{5},{6},{1},{3}]=>[1,1,1,1,1,1]
[{4},{1},{3},{5},{6},{2}]=>[{2},{6},{5},{3},{1},{4}]=>[1,1,1,1,1,1]
[{4},{1},{3},{6},{5},{2}]=>[{2},{5},{6},{3},{1},{4}]=>[1,1,1,1,1,1]
[{5},{1},{3},{4},{6},{2}]=>[{2},{6},{4},{3},{1},{5}]=>[1,1,1,1,1,1]
[{6},{1},{3},{4},{5},{2}]=>[{2},{5},{4},{3},{1},{6}]=>[1,1,1,1,1,1]
[{5},{1},{3},{6},{4},{2}]=>[{2},{4},{6},{3},{1},{5}]=>[1,1,1,1,1,1]
[{6},{1},{3},{5},{4},{2}]=>[{2},{4},{5},{3},{1},{6}]=>[1,1,1,1,1,1]
[{4},{1},{5},{3},{6},{2}]=>[{2},{6},{3},{5},{1},{4}]=>[1,1,1,1,1,1]
[{4},{1},{6},{3},{5},{2}]=>[{2},{5},{3},{6},{1},{4}]=>[1,1,1,1,1,1]
[{5},{1},{4},{3},{6},{2}]=>[{2},{6},{3},{4},{1},{5}]=>[1,1,1,1,1,1]
[{6},{1},{4},{3},{5},{2}]=>[{2},{5},{3},{4},{1},{6}]=>[1,1,1,1,1,1]
[{5},{1},{6},{3},{4},{2}]=>[{2},{4},{3},{6},{1},{5}]=>[1,1,1,1,1,1]
[{6},{1},{5},{3},{4},{2}]=>[{2},{4},{3},{5},{1},{6}]=>[1,1,1,1,1,1]
[{4},{1},{5},{6},{3},{2}]=>[{2},{3},{6},{5},{1},{4}]=>[1,1,1,1,1,1]
[{4},{1},{6},{5},{3},{2}]=>[{2},{3},{5},{6},{1},{4}]=>[1,1,1,1,1,1]
[{5},{1},{4},{6},{3},{2}]=>[{2},{3},{6},{4},{1},{5}]=>[1,1,1,1,1,1]
[{6},{1},{4},{5},{3},{2}]=>[{2},{3},{5},{4},{1},{6}]=>[1,1,1,1,1,1]
[{5},{1},{6},{4},{3},{2}]=>[{2},{3},{4},{6},{1},{5}]=>[1,1,1,1,1,1]
[{6},{1},{5},{4},{3},{2}]=>[{2},{3},{4},{5},{1},{6}]=>[1,1,1,1,1,1]
[{2},{3},{1},{4},{5},{6}]=>[{6},{5},{4},{1},{3},{2}]=>[1,1,1,1,1,1]
[{2},{3},{1},{4},{6},{5}]=>[{5},{6},{4},{1},{3},{2}]=>[1,1,1,1,1,1]
[{2},{3},{1},{5},{4},{6}]=>[{6},{4},{5},{1},{3},{2}]=>[1,1,1,1,1,1]
[{2},{3},{1},{6},{4},{5}]=>[{5},{4},{6},{1},{3},{2}]=>[1,1,1,1,1,1]
[{2},{3},{1},{5},{6},{4}]=>[{4},{6},{5},{1},{3},{2}]=>[1,1,1,1,1,1]
[{2},{3},{1},{6},{5},{4}]=>[{4},{5},{6},{1},{3},{2}]=>[1,1,1,1,1,1]
[{2},{4},{1},{3},{5},{6}]=>[{6},{5},{3},{1},{4},{2}]=>[1,1,1,1,1,1]
[{2},{4},{1},{3},{6},{5}]=>[{5},{6},{3},{1},{4},{2}]=>[1,1,1,1,1,1]
[{2},{5},{1},{3},{4},{6}]=>[{6},{4},{3},{1},{5},{2}]=>[1,1,1,1,1,1]
[{2},{6},{1},{3},{4},{5}]=>[{5},{4},{3},{1},{6},{2}]=>[1,1,1,1,1,1]
[{2},{5},{1},{3},{6},{4}]=>[{4},{6},{3},{1},{5},{2}]=>[1,1,1,1,1,1]
[{2},{6},{1},{3},{5},{4}]=>[{4},{5},{3},{1},{6},{2}]=>[1,1,1,1,1,1]
[{2},{4},{1},{5},{3},{6}]=>[{6},{3},{5},{1},{4},{2}]=>[1,1,1,1,1,1]
[{2},{4},{1},{6},{3},{5}]=>[{5},{3},{6},{1},{4},{2}]=>[1,1,1,1,1,1]
[{2},{5},{1},{4},{3},{6}]=>[{6},{3},{4},{1},{5},{2}]=>[1,1,1,1,1,1]
[{2},{6},{1},{4},{3},{5}]=>[{5},{3},{4},{1},{6},{2}]=>[1,1,1,1,1,1]
[{2},{5},{1},{6},{3},{4}]=>[{4},{3},{6},{1},{5},{2}]=>[1,1,1,1,1,1]
[{2},{6},{1},{5},{3},{4}]=>[{4},{3},{5},{1},{6},{2}]=>[1,1,1,1,1,1]
[{2},{4},{1},{5},{6},{3}]=>[{3},{6},{5},{1},{4},{2}]=>[1,1,1,1,1,1]
[{2},{4},{1},{6},{5},{3}]=>[{3},{5},{6},{1},{4},{2}]=>[1,1,1,1,1,1]
[{2},{5},{1},{4},{6},{3}]=>[{3},{6},{4},{1},{5},{2}]=>[1,1,1,1,1,1]
[{2},{6},{1},{4},{5},{3}]=>[{3},{5},{4},{1},{6},{2}]=>[1,1,1,1,1,1]
[{2},{5},{1},{6},{4},{3}]=>[{3},{4},{6},{1},{5},{2}]=>[1,1,1,1,1,1]
[{2},{6},{1},{5},{4},{3}]=>[{3},{4},{5},{1},{6},{2}]=>[1,1,1,1,1,1]
[{3},{2},{1},{4},{5},{6}]=>[{6},{5},{4},{1},{2},{3}]=>[1,1,1,1,1,1]
[{3},{2},{1},{4},{6},{5}]=>[{5},{6},{4},{1},{2},{3}]=>[1,1,1,1,1,1]
[{3},{2},{1},{5},{4},{6}]=>[{6},{4},{5},{1},{2},{3}]=>[1,1,1,1,1,1]
[{3},{2},{1},{6},{4},{5}]=>[{5},{4},{6},{1},{2},{3}]=>[1,1,1,1,1,1]
[{3},{2},{1},{5},{6},{4}]=>[{4},{6},{5},{1},{2},{3}]=>[1,1,1,1,1,1]
[{3},{2},{1},{6},{5},{4}]=>[{4},{5},{6},{1},{2},{3}]=>[1,1,1,1,1,1]
[{4},{2},{1},{3},{5},{6}]=>[{6},{5},{3},{1},{2},{4}]=>[1,1,1,1,1,1]
[{4},{2},{1},{3},{6},{5}]=>[{5},{6},{3},{1},{2},{4}]=>[1,1,1,1,1,1]
[{5},{2},{1},{3},{4},{6}]=>[{6},{4},{3},{1},{2},{5}]=>[1,1,1,1,1,1]
[{6},{2},{1},{3},{4},{5}]=>[{5},{4},{3},{1},{2},{6}]=>[1,1,1,1,1,1]
[{5},{2},{1},{3},{6},{4}]=>[{4},{6},{3},{1},{2},{5}]=>[1,1,1,1,1,1]
[{6},{2},{1},{3},{5},{4}]=>[{4},{5},{3},{1},{2},{6}]=>[1,1,1,1,1,1]
[{4},{2},{1},{5},{3},{6}]=>[{6},{3},{5},{1},{2},{4}]=>[1,1,1,1,1,1]
[{4},{2},{1},{6},{3},{5}]=>[{5},{3},{6},{1},{2},{4}]=>[1,1,1,1,1,1]
[{5},{2},{1},{4},{3},{6}]=>[{6},{3},{4},{1},{2},{5}]=>[1,1,1,1,1,1]
[{6},{2},{1},{4},{3},{5}]=>[{5},{3},{4},{1},{2},{6}]=>[1,1,1,1,1,1]
[{5},{2},{1},{6},{3},{4}]=>[{4},{3},{6},{1},{2},{5}]=>[1,1,1,1,1,1]
[{6},{2},{1},{5},{3},{4}]=>[{4},{3},{5},{1},{2},{6}]=>[1,1,1,1,1,1]
[{4},{2},{1},{5},{6},{3}]=>[{3},{6},{5},{1},{2},{4}]=>[1,1,1,1,1,1]
[{4},{2},{1},{6},{5},{3}]=>[{3},{5},{6},{1},{2},{4}]=>[1,1,1,1,1,1]
[{5},{2},{1},{4},{6},{3}]=>[{3},{6},{4},{1},{2},{5}]=>[1,1,1,1,1,1]
[{6},{2},{1},{4},{5},{3}]=>[{3},{5},{4},{1},{2},{6}]=>[1,1,1,1,1,1]
[{5},{2},{1},{6},{4},{3}]=>[{3},{4},{6},{1},{2},{5}]=>[1,1,1,1,1,1]
[{6},{2},{1},{5},{4},{3}]=>[{3},{4},{5},{1},{2},{6}]=>[1,1,1,1,1,1]
[{3},{4},{1},{2},{5},{6}]=>[{6},{5},{2},{1},{4},{3}]=>[1,1,1,1,1,1]
[{3},{4},{1},{2},{6},{5}]=>[{5},{6},{2},{1},{4},{3}]=>[1,1,1,1,1,1]
[{3},{5},{1},{2},{4},{6}]=>[{6},{4},{2},{1},{5},{3}]=>[1,1,1,1,1,1]
[{3},{6},{1},{2},{4},{5}]=>[{5},{4},{2},{1},{6},{3}]=>[1,1,1,1,1,1]
[{3},{5},{1},{2},{6},{4}]=>[{4},{6},{2},{1},{5},{3}]=>[1,1,1,1,1,1]
[{3},{6},{1},{2},{5},{4}]=>[{4},{5},{2},{1},{6},{3}]=>[1,1,1,1,1,1]
[{4},{3},{1},{2},{5},{6}]=>[{6},{5},{2},{1},{3},{4}]=>[1,1,1,1,1,1]
[{4},{3},{1},{2},{6},{5}]=>[{5},{6},{2},{1},{3},{4}]=>[1,1,1,1,1,1]
[{5},{3},{1},{2},{4},{6}]=>[{6},{4},{2},{1},{3},{5}]=>[1,1,1,1,1,1]
[{6},{3},{1},{2},{4},{5}]=>[{5},{4},{2},{1},{3},{6}]=>[1,1,1,1,1,1]
[{5},{3},{1},{2},{6},{4}]=>[{4},{6},{2},{1},{3},{5}]=>[1,1,1,1,1,1]
[{6},{3},{1},{2},{5},{4}]=>[{4},{5},{2},{1},{3},{6}]=>[1,1,1,1,1,1]
[{4},{5},{1},{2},{3},{6}]=>[{6},{3},{2},{1},{5},{4}]=>[1,1,1,1,1,1]
[{4},{6},{1},{2},{3},{5}]=>[{5},{3},{2},{1},{6},{4}]=>[1,1,1,1,1,1]
[{5},{4},{1},{2},{3},{6}]=>[{6},{3},{2},{1},{4},{5}]=>[1,1,1,1,1,1]
[{6},{4},{1},{2},{3},{5}]=>[{5},{3},{2},{1},{4},{6}]=>[1,1,1,1,1,1]
[{5},{6},{1},{2},{3},{4}]=>[{4},{3},{2},{1},{6},{5}]=>[1,1,1,1,1,1]
[{6},{5},{1},{2},{3},{4}]=>[{4},{3},{2},{1},{5},{6}]=>[1,1,1,1,1,1]
[{4},{5},{1},{2},{6},{3}]=>[{3},{6},{2},{1},{5},{4}]=>[1,1,1,1,1,1]
[{4},{6},{1},{2},{5},{3}]=>[{3},{5},{2},{1},{6},{4}]=>[1,1,1,1,1,1]
[{5},{4},{1},{2},{6},{3}]=>[{3},{6},{2},{1},{4},{5}]=>[1,1,1,1,1,1]
[{6},{4},{1},{2},{5},{3}]=>[{3},{5},{2},{1},{4},{6}]=>[1,1,1,1,1,1]
[{5},{6},{1},{2},{4},{3}]=>[{3},{4},{2},{1},{6},{5}]=>[1,1,1,1,1,1]
[{6},{5},{1},{2},{4},{3}]=>[{3},{4},{2},{1},{5},{6}]=>[1,1,1,1,1,1]
[{3},{4},{1},{5},{2},{6}]=>[{6},{2},{5},{1},{4},{3}]=>[1,1,1,1,1,1]
[{3},{4},{1},{6},{2},{5}]=>[{5},{2},{6},{1},{4},{3}]=>[1,1,1,1,1,1]
[{3},{5},{1},{4},{2},{6}]=>[{6},{2},{4},{1},{5},{3}]=>[1,1,1,1,1,1]
[{3},{6},{1},{4},{2},{5}]=>[{5},{2},{4},{1},{6},{3}]=>[1,1,1,1,1,1]
[{3},{5},{1},{6},{2},{4}]=>[{4},{2},{6},{1},{5},{3}]=>[1,1,1,1,1,1]
[{3},{6},{1},{5},{2},{4}]=>[{4},{2},{5},{1},{6},{3}]=>[1,1,1,1,1,1]
[{4},{3},{1},{5},{2},{6}]=>[{6},{2},{5},{1},{3},{4}]=>[1,1,1,1,1,1]
[{4},{3},{1},{6},{2},{5}]=>[{5},{2},{6},{1},{3},{4}]=>[1,1,1,1,1,1]
[{5},{3},{1},{4},{2},{6}]=>[{6},{2},{4},{1},{3},{5}]=>[1,1,1,1,1,1]
[{6},{3},{1},{4},{2},{5}]=>[{5},{2},{4},{1},{3},{6}]=>[1,1,1,1,1,1]
[{5},{3},{1},{6},{2},{4}]=>[{4},{2},{6},{1},{3},{5}]=>[1,1,1,1,1,1]
[{6},{3},{1},{5},{2},{4}]=>[{4},{2},{5},{1},{3},{6}]=>[1,1,1,1,1,1]
[{4},{5},{1},{3},{2},{6}]=>[{6},{2},{3},{1},{5},{4}]=>[1,1,1,1,1,1]
[{4},{6},{1},{3},{2},{5}]=>[{5},{2},{3},{1},{6},{4}]=>[1,1,1,1,1,1]
[{5},{4},{1},{3},{2},{6}]=>[{6},{2},{3},{1},{4},{5}]=>[1,1,1,1,1,1]
[{6},{4},{1},{3},{2},{5}]=>[{5},{2},{3},{1},{4},{6}]=>[1,1,1,1,1,1]
[{5},{6},{1},{3},{2},{4}]=>[{4},{2},{3},{1},{6},{5}]=>[1,1,1,1,1,1]
[{6},{5},{1},{3},{2},{4}]=>[{4},{2},{3},{1},{5},{6}]=>[1,1,1,1,1,1]
[{4},{5},{1},{6},{2},{3}]=>[{3},{2},{6},{1},{5},{4}]=>[1,1,1,1,1,1]
[{4},{6},{1},{5},{2},{3}]=>[{3},{2},{5},{1},{6},{4}]=>[1,1,1,1,1,1]
[{5},{4},{1},{6},{2},{3}]=>[{3},{2},{6},{1},{4},{5}]=>[1,1,1,1,1,1]
[{6},{4},{1},{5},{2},{3}]=>[{3},{2},{5},{1},{4},{6}]=>[1,1,1,1,1,1]
[{5},{6},{1},{4},{2},{3}]=>[{3},{2},{4},{1},{6},{5}]=>[1,1,1,1,1,1]
[{6},{5},{1},{4},{2},{3}]=>[{3},{2},{4},{1},{5},{6}]=>[1,1,1,1,1,1]
[{3},{4},{1},{5},{6},{2}]=>[{2},{6},{5},{1},{4},{3}]=>[1,1,1,1,1,1]
[{3},{4},{1},{6},{5},{2}]=>[{2},{5},{6},{1},{4},{3}]=>[1,1,1,1,1,1]
[{3},{5},{1},{4},{6},{2}]=>[{2},{6},{4},{1},{5},{3}]=>[1,1,1,1,1,1]
[{3},{6},{1},{4},{5},{2}]=>[{2},{5},{4},{1},{6},{3}]=>[1,1,1,1,1,1]
[{3},{5},{1},{6},{4},{2}]=>[{2},{4},{6},{1},{5},{3}]=>[1,1,1,1,1,1]
[{3},{6},{1},{5},{4},{2}]=>[{2},{4},{5},{1},{6},{3}]=>[1,1,1,1,1,1]
[{4},{3},{1},{5},{6},{2}]=>[{2},{6},{5},{1},{3},{4}]=>[1,1,1,1,1,1]
[{4},{3},{1},{6},{5},{2}]=>[{2},{5},{6},{1},{3},{4}]=>[1,1,1,1,1,1]
[{5},{3},{1},{4},{6},{2}]=>[{2},{6},{4},{1},{3},{5}]=>[1,1,1,1,1,1]
[{6},{3},{1},{4},{5},{2}]=>[{2},{5},{4},{1},{3},{6}]=>[1,1,1,1,1,1]
[{5},{3},{1},{6},{4},{2}]=>[{2},{4},{6},{1},{3},{5}]=>[1,1,1,1,1,1]
[{6},{3},{1},{5},{4},{2}]=>[{2},{4},{5},{1},{3},{6}]=>[1,1,1,1,1,1]
[{4},{5},{1},{3},{6},{2}]=>[{2},{6},{3},{1},{5},{4}]=>[1,1,1,1,1,1]
[{4},{6},{1},{3},{5},{2}]=>[{2},{5},{3},{1},{6},{4}]=>[1,1,1,1,1,1]
[{5},{4},{1},{3},{6},{2}]=>[{2},{6},{3},{1},{4},{5}]=>[1,1,1,1,1,1]
[{6},{4},{1},{3},{5},{2}]=>[{2},{5},{3},{1},{4},{6}]=>[1,1,1,1,1,1]
[{5},{6},{1},{3},{4},{2}]=>[{2},{4},{3},{1},{6},{5}]=>[1,1,1,1,1,1]
[{6},{5},{1},{3},{4},{2}]=>[{2},{4},{3},{1},{5},{6}]=>[1,1,1,1,1,1]
[{4},{5},{1},{6},{3},{2}]=>[{2},{3},{6},{1},{5},{4}]=>[1,1,1,1,1,1]
[{4},{6},{1},{5},{3},{2}]=>[{2},{3},{5},{1},{6},{4}]=>[1,1,1,1,1,1]
[{5},{4},{1},{6},{3},{2}]=>[{2},{3},{6},{1},{4},{5}]=>[1,1,1,1,1,1]
[{6},{4},{1},{5},{3},{2}]=>[{2},{3},{5},{1},{4},{6}]=>[1,1,1,1,1,1]
[{5},{6},{1},{4},{3},{2}]=>[{2},{3},{4},{1},{6},{5}]=>[1,1,1,1,1,1]
[{6},{5},{1},{4},{3},{2}]=>[{2},{3},{4},{1},{5},{6}]=>[1,1,1,1,1,1]
[{2},{3},{4},{1},{5},{6}]=>[{6},{5},{1},{4},{3},{2}]=>[1,1,1,1,1,1]
[{2},{3},{4},{1},{6},{5}]=>[{5},{6},{1},{4},{3},{2}]=>[1,1,1,1,1,1]
[{2},{3},{5},{1},{4},{6}]=>[{6},{4},{1},{5},{3},{2}]=>[1,1,1,1,1,1]
[{2},{3},{6},{1},{4},{5}]=>[{5},{4},{1},{6},{3},{2}]=>[1,1,1,1,1,1]
[{2},{3},{5},{1},{6},{4}]=>[{4},{6},{1},{5},{3},{2}]=>[1,1,1,1,1,1]
[{2},{3},{6},{1},{5},{4}]=>[{4},{5},{1},{6},{3},{2}]=>[1,1,1,1,1,1]
[{2},{4},{3},{1},{5},{6}]=>[{6},{5},{1},{3},{4},{2}]=>[1,1,1,1,1,1]
[{2},{4},{3},{1},{6},{5}]=>[{5},{6},{1},{3},{4},{2}]=>[1,1,1,1,1,1]
[{2},{5},{3},{1},{4},{6}]=>[{6},{4},{1},{3},{5},{2}]=>[1,1,1,1,1,1]
[{2},{6},{3},{1},{4},{5}]=>[{5},{4},{1},{3},{6},{2}]=>[1,1,1,1,1,1]
[{2},{5},{3},{1},{6},{4}]=>[{4},{6},{1},{3},{5},{2}]=>[1,1,1,1,1,1]
[{2},{6},{3},{1},{5},{4}]=>[{4},{5},{1},{3},{6},{2}]=>[1,1,1,1,1,1]
[{2},{4},{5},{1},{3},{6}]=>[{6},{3},{1},{5},{4},{2}]=>[1,1,1,1,1,1]
[{2},{4},{6},{1},{3},{5}]=>[{5},{3},{1},{6},{4},{2}]=>[1,1,1,1,1,1]
[{2},{5},{4},{1},{3},{6}]=>[{6},{3},{1},{4},{5},{2}]=>[1,1,1,1,1,1]
[{2},{6},{4},{1},{3},{5}]=>[{5},{3},{1},{4},{6},{2}]=>[1,1,1,1,1,1]
[{2},{5},{6},{1},{3},{4}]=>[{4},{3},{1},{6},{5},{2}]=>[1,1,1,1,1,1]
[{2},{6},{5},{1},{3},{4}]=>[{4},{3},{1},{5},{6},{2}]=>[1,1,1,1,1,1]
[{2},{4},{5},{1},{6},{3}]=>[{3},{6},{1},{5},{4},{2}]=>[1,1,1,1,1,1]
[{2},{4},{6},{1},{5},{3}]=>[{3},{5},{1},{6},{4},{2}]=>[1,1,1,1,1,1]
[{2},{5},{4},{1},{6},{3}]=>[{3},{6},{1},{4},{5},{2}]=>[1,1,1,1,1,1]
[{2},{6},{4},{1},{5},{3}]=>[{3},{5},{1},{4},{6},{2}]=>[1,1,1,1,1,1]
[{2},{5},{6},{1},{4},{3}]=>[{3},{4},{1},{6},{5},{2}]=>[1,1,1,1,1,1]
[{2},{6},{5},{1},{4},{3}]=>[{3},{4},{1},{5},{6},{2}]=>[1,1,1,1,1,1]
[{3},{2},{4},{1},{5},{6}]=>[{6},{5},{1},{4},{2},{3}]=>[1,1,1,1,1,1]
[{3},{2},{4},{1},{6},{5}]=>[{5},{6},{1},{4},{2},{3}]=>[1,1,1,1,1,1]
[{3},{2},{5},{1},{4},{6}]=>[{6},{4},{1},{5},{2},{3}]=>[1,1,1,1,1,1]
[{3},{2},{6},{1},{4},{5}]=>[{5},{4},{1},{6},{2},{3}]=>[1,1,1,1,1,1]
[{3},{2},{5},{1},{6},{4}]=>[{4},{6},{1},{5},{2},{3}]=>[1,1,1,1,1,1]
[{3},{2},{6},{1},{5},{4}]=>[{4},{5},{1},{6},{2},{3}]=>[1,1,1,1,1,1]
[{4},{2},{3},{1},{5},{6}]=>[{6},{5},{1},{3},{2},{4}]=>[1,1,1,1,1,1]
[{4},{2},{3},{1},{6},{5}]=>[{5},{6},{1},{3},{2},{4}]=>[1,1,1,1,1,1]
[{5},{2},{3},{1},{4},{6}]=>[{6},{4},{1},{3},{2},{5}]=>[1,1,1,1,1,1]
[{6},{2},{3},{1},{4},{5}]=>[{5},{4},{1},{3},{2},{6}]=>[1,1,1,1,1,1]
[{5},{2},{3},{1},{6},{4}]=>[{4},{6},{1},{3},{2},{5}]=>[1,1,1,1,1,1]
[{6},{2},{3},{1},{5},{4}]=>[{4},{5},{1},{3},{2},{6}]=>[1,1,1,1,1,1]
[{4},{2},{5},{1},{3},{6}]=>[{6},{3},{1},{5},{2},{4}]=>[1,1,1,1,1,1]
[{4},{2},{6},{1},{3},{5}]=>[{5},{3},{1},{6},{2},{4}]=>[1,1,1,1,1,1]
[{5},{2},{4},{1},{3},{6}]=>[{6},{3},{1},{4},{2},{5}]=>[1,1,1,1,1,1]
[{6},{2},{4},{1},{3},{5}]=>[{5},{3},{1},{4},{2},{6}]=>[1,1,1,1,1,1]
[{5},{2},{6},{1},{3},{4}]=>[{4},{3},{1},{6},{2},{5}]=>[1,1,1,1,1,1]
[{6},{2},{5},{1},{3},{4}]=>[{4},{3},{1},{5},{2},{6}]=>[1,1,1,1,1,1]
[{4},{2},{5},{1},{6},{3}]=>[{3},{6},{1},{5},{2},{4}]=>[1,1,1,1,1,1]
[{4},{2},{6},{1},{5},{3}]=>[{3},{5},{1},{6},{2},{4}]=>[1,1,1,1,1,1]
[{5},{2},{4},{1},{6},{3}]=>[{3},{6},{1},{4},{2},{5}]=>[1,1,1,1,1,1]
[{6},{2},{4},{1},{5},{3}]=>[{3},{5},{1},{4},{2},{6}]=>[1,1,1,1,1,1]
[{5},{2},{6},{1},{4},{3}]=>[{3},{4},{1},{6},{2},{5}]=>[1,1,1,1,1,1]
[{6},{2},{5},{1},{4},{3}]=>[{3},{4},{1},{5},{2},{6}]=>[1,1,1,1,1,1]
[{3},{4},{2},{1},{5},{6}]=>[{6},{5},{1},{2},{4},{3}]=>[1,1,1,1,1,1]
[{3},{4},{2},{1},{6},{5}]=>[{5},{6},{1},{2},{4},{3}]=>[1,1,1,1,1,1]
[{3},{5},{2},{1},{4},{6}]=>[{6},{4},{1},{2},{5},{3}]=>[1,1,1,1,1,1]
[{3},{6},{2},{1},{4},{5}]=>[{5},{4},{1},{2},{6},{3}]=>[1,1,1,1,1,1]
[{3},{5},{2},{1},{6},{4}]=>[{4},{6},{1},{2},{5},{3}]=>[1,1,1,1,1,1]
[{3},{6},{2},{1},{5},{4}]=>[{4},{5},{1},{2},{6},{3}]=>[1,1,1,1,1,1]
[{4},{3},{2},{1},{5},{6}]=>[{6},{5},{1},{2},{3},{4}]=>[1,1,1,1,1,1]
[{4},{3},{2},{1},{6},{5}]=>[{5},{6},{1},{2},{3},{4}]=>[1,1,1,1,1,1]
[{5},{3},{2},{1},{4},{6}]=>[{6},{4},{1},{2},{3},{5}]=>[1,1,1,1,1,1]
[{6},{3},{2},{1},{4},{5}]=>[{5},{4},{1},{2},{3},{6}]=>[1,1,1,1,1,1]
[{5},{3},{2},{1},{6},{4}]=>[{4},{6},{1},{2},{3},{5}]=>[1,1,1,1,1,1]
[{6},{3},{2},{1},{5},{4}]=>[{4},{5},{1},{2},{3},{6}]=>[1,1,1,1,1,1]
[{4},{5},{2},{1},{3},{6}]=>[{6},{3},{1},{2},{5},{4}]=>[1,1,1,1,1,1]
[{4},{6},{2},{1},{3},{5}]=>[{5},{3},{1},{2},{6},{4}]=>[1,1,1,1,1,1]
[{5},{4},{2},{1},{3},{6}]=>[{6},{3},{1},{2},{4},{5}]=>[1,1,1,1,1,1]
[{6},{4},{2},{1},{3},{5}]=>[{5},{3},{1},{2},{4},{6}]=>[1,1,1,1,1,1]
[{5},{6},{2},{1},{3},{4}]=>[{4},{3},{1},{2},{6},{5}]=>[1,1,1,1,1,1]
[{6},{5},{2},{1},{3},{4}]=>[{4},{3},{1},{2},{5},{6}]=>[1,1,1,1,1,1]
[{4},{5},{2},{1},{6},{3}]=>[{3},{6},{1},{2},{5},{4}]=>[1,1,1,1,1,1]
[{4},{6},{2},{1},{5},{3}]=>[{3},{5},{1},{2},{6},{4}]=>[1,1,1,1,1,1]
[{5},{4},{2},{1},{6},{3}]=>[{3},{6},{1},{2},{4},{5}]=>[1,1,1,1,1,1]
[{6},{4},{2},{1},{5},{3}]=>[{3},{5},{1},{2},{4},{6}]=>[1,1,1,1,1,1]
[{5},{6},{2},{1},{4},{3}]=>[{3},{4},{1},{2},{6},{5}]=>[1,1,1,1,1,1]
[{6},{5},{2},{1},{4},{3}]=>[{3},{4},{1},{2},{5},{6}]=>[1,1,1,1,1,1]
[{3},{4},{5},{1},{2},{6}]=>[{6},{2},{1},{5},{4},{3}]=>[1,1,1,1,1,1]
[{3},{4},{6},{1},{2},{5}]=>[{5},{2},{1},{6},{4},{3}]=>[1,1,1,1,1,1]
[{3},{5},{4},{1},{2},{6}]=>[{6},{2},{1},{4},{5},{3}]=>[1,1,1,1,1,1]
[{3},{6},{4},{1},{2},{5}]=>[{5},{2},{1},{4},{6},{3}]=>[1,1,1,1,1,1]
[{3},{5},{6},{1},{2},{4}]=>[{4},{2},{1},{6},{5},{3}]=>[1,1,1,1,1,1]
[{3},{6},{5},{1},{2},{4}]=>[{4},{2},{1},{5},{6},{3}]=>[1,1,1,1,1,1]
[{4},{3},{5},{1},{2},{6}]=>[{6},{2},{1},{5},{3},{4}]=>[1,1,1,1,1,1]
[{4},{3},{6},{1},{2},{5}]=>[{5},{2},{1},{6},{3},{4}]=>[1,1,1,1,1,1]
[{5},{3},{4},{1},{2},{6}]=>[{6},{2},{1},{4},{3},{5}]=>[1,1,1,1,1,1]
[{6},{3},{4},{1},{2},{5}]=>[{5},{2},{1},{4},{3},{6}]=>[1,1,1,1,1,1]
[{5},{3},{6},{1},{2},{4}]=>[{4},{2},{1},{6},{3},{5}]=>[1,1,1,1,1,1]
[{6},{3},{5},{1},{2},{4}]=>[{4},{2},{1},{5},{3},{6}]=>[1,1,1,1,1,1]
[{4},{5},{3},{1},{2},{6}]=>[{6},{2},{1},{3},{5},{4}]=>[1,1,1,1,1,1]
[{4},{6},{3},{1},{2},{5}]=>[{5},{2},{1},{3},{6},{4}]=>[1,1,1,1,1,1]
[{5},{4},{3},{1},{2},{6}]=>[{6},{2},{1},{3},{4},{5}]=>[1,1,1,1,1,1]
[{6},{4},{3},{1},{2},{5}]=>[{5},{2},{1},{3},{4},{6}]=>[1,1,1,1,1,1]
[{5},{6},{3},{1},{2},{4}]=>[{4},{2},{1},{3},{6},{5}]=>[1,1,1,1,1,1]
[{6},{5},{3},{1},{2},{4}]=>[{4},{2},{1},{3},{5},{6}]=>[1,1,1,1,1,1]
[{4},{5},{6},{1},{2},{3}]=>[{3},{2},{1},{6},{5},{4}]=>[1,1,1,1,1,1]
[{4},{6},{5},{1},{2},{3}]=>[{3},{2},{1},{5},{6},{4}]=>[1,1,1,1,1,1]
[{5},{4},{6},{1},{2},{3}]=>[{3},{2},{1},{6},{4},{5}]=>[1,1,1,1,1,1]
[{6},{4},{5},{1},{2},{3}]=>[{3},{2},{1},{5},{4},{6}]=>[1,1,1,1,1,1]
[{5},{6},{4},{1},{2},{3}]=>[{3},{2},{1},{4},{6},{5}]=>[1,1,1,1,1,1]
[{6},{5},{4},{1},{2},{3}]=>[{3},{2},{1},{4},{5},{6}]=>[1,1,1,1,1,1]
[{3},{4},{5},{1},{6},{2}]=>[{2},{6},{1},{5},{4},{3}]=>[1,1,1,1,1,1]
[{3},{4},{6},{1},{5},{2}]=>[{2},{5},{1},{6},{4},{3}]=>[1,1,1,1,1,1]
[{3},{5},{4},{1},{6},{2}]=>[{2},{6},{1},{4},{5},{3}]=>[1,1,1,1,1,1]
[{3},{6},{4},{1},{5},{2}]=>[{2},{5},{1},{4},{6},{3}]=>[1,1,1,1,1,1]
[{3},{5},{6},{1},{4},{2}]=>[{2},{4},{1},{6},{5},{3}]=>[1,1,1,1,1,1]
[{3},{6},{5},{1},{4},{2}]=>[{2},{4},{1},{5},{6},{3}]=>[1,1,1,1,1,1]
[{4},{3},{5},{1},{6},{2}]=>[{2},{6},{1},{5},{3},{4}]=>[1,1,1,1,1,1]
[{4},{3},{6},{1},{5},{2}]=>[{2},{5},{1},{6},{3},{4}]=>[1,1,1,1,1,1]
[{5},{3},{4},{1},{6},{2}]=>[{2},{6},{1},{4},{3},{5}]=>[1,1,1,1,1,1]
[{6},{3},{4},{1},{5},{2}]=>[{2},{5},{1},{4},{3},{6}]=>[1,1,1,1,1,1]
[{5},{3},{6},{1},{4},{2}]=>[{2},{4},{1},{6},{3},{5}]=>[1,1,1,1,1,1]
[{6},{3},{5},{1},{4},{2}]=>[{2},{4},{1},{5},{3},{6}]=>[1,1,1,1,1,1]
[{4},{5},{3},{1},{6},{2}]=>[{2},{6},{1},{3},{5},{4}]=>[1,1,1,1,1,1]
[{4},{6},{3},{1},{5},{2}]=>[{2},{5},{1},{3},{6},{4}]=>[1,1,1,1,1,1]
[{5},{4},{3},{1},{6},{2}]=>[{2},{6},{1},{3},{4},{5}]=>[1,1,1,1,1,1]
[{6},{4},{3},{1},{5},{2}]=>[{2},{5},{1},{3},{4},{6}]=>[1,1,1,1,1,1]
[{5},{6},{3},{1},{4},{2}]=>[{2},{4},{1},{3},{6},{5}]=>[1,1,1,1,1,1]
[{6},{5},{3},{1},{4},{2}]=>[{2},{4},{1},{3},{5},{6}]=>[1,1,1,1,1,1]
[{4},{5},{6},{1},{3},{2}]=>[{2},{3},{1},{6},{5},{4}]=>[1,1,1,1,1,1]
[{4},{6},{5},{1},{3},{2}]=>[{2},{3},{1},{5},{6},{4}]=>[1,1,1,1,1,1]
[{5},{4},{6},{1},{3},{2}]=>[{2},{3},{1},{6},{4},{5}]=>[1,1,1,1,1,1]
[{6},{4},{5},{1},{3},{2}]=>[{2},{3},{1},{5},{4},{6}]=>[1,1,1,1,1,1]
[{5},{6},{4},{1},{3},{2}]=>[{2},{3},{1},{4},{6},{5}]=>[1,1,1,1,1,1]
[{6},{5},{4},{1},{3},{2}]=>[{2},{3},{1},{4},{5},{6}]=>[1,1,1,1,1,1]
[{2},{3},{4},{5},{1},{6}]=>[{6},{1},{5},{4},{3},{2}]=>[1,1,1,1,1,1]
[{2},{3},{4},{6},{1},{5}]=>[{5},{1},{6},{4},{3},{2}]=>[1,1,1,1,1,1]
[{2},{3},{5},{4},{1},{6}]=>[{6},{1},{4},{5},{3},{2}]=>[1,1,1,1,1,1]
[{2},{3},{6},{4},{1},{5}]=>[{5},{1},{4},{6},{3},{2}]=>[1,1,1,1,1,1]
[{2},{3},{5},{6},{1},{4}]=>[{4},{1},{6},{5},{3},{2}]=>[1,1,1,1,1,1]
[{2},{3},{6},{5},{1},{4}]=>[{4},{1},{5},{6},{3},{2}]=>[1,1,1,1,1,1]
[{2},{4},{3},{5},{1},{6}]=>[{6},{1},{5},{3},{4},{2}]=>[1,1,1,1,1,1]
[{2},{4},{3},{6},{1},{5}]=>[{5},{1},{6},{3},{4},{2}]=>[1,1,1,1,1,1]
[{2},{5},{3},{4},{1},{6}]=>[{6},{1},{4},{3},{5},{2}]=>[1,1,1,1,1,1]
[{2},{6},{3},{4},{1},{5}]=>[{5},{1},{4},{3},{6},{2}]=>[1,1,1,1,1,1]
[{2},{5},{3},{6},{1},{4}]=>[{4},{1},{6},{3},{5},{2}]=>[1,1,1,1,1,1]
[{2},{6},{3},{5},{1},{4}]=>[{4},{1},{5},{3},{6},{2}]=>[1,1,1,1,1,1]
[{2},{4},{5},{3},{1},{6}]=>[{6},{1},{3},{5},{4},{2}]=>[1,1,1,1,1,1]
[{2},{4},{6},{3},{1},{5}]=>[{5},{1},{3},{6},{4},{2}]=>[1,1,1,1,1,1]
[{2},{5},{4},{3},{1},{6}]=>[{6},{1},{3},{4},{5},{2}]=>[1,1,1,1,1,1]
[{2},{6},{4},{3},{1},{5}]=>[{5},{1},{3},{4},{6},{2}]=>[1,1,1,1,1,1]
[{2},{5},{6},{3},{1},{4}]=>[{4},{1},{3},{6},{5},{2}]=>[1,1,1,1,1,1]
[{2},{6},{5},{3},{1},{4}]=>[{4},{1},{3},{5},{6},{2}]=>[1,1,1,1,1,1]
[{2},{4},{5},{6},{1},{3}]=>[{3},{1},{6},{5},{4},{2}]=>[1,1,1,1,1,1]
[{2},{4},{6},{5},{1},{3}]=>[{3},{1},{5},{6},{4},{2}]=>[1,1,1,1,1,1]
[{2},{5},{4},{6},{1},{3}]=>[{3},{1},{6},{4},{5},{2}]=>[1,1,1,1,1,1]
[{2},{6},{4},{5},{1},{3}]=>[{3},{1},{5},{4},{6},{2}]=>[1,1,1,1,1,1]
[{2},{5},{6},{4},{1},{3}]=>[{3},{1},{4},{6},{5},{2}]=>[1,1,1,1,1,1]
[{2},{6},{5},{4},{1},{3}]=>[{3},{1},{4},{5},{6},{2}]=>[1,1,1,1,1,1]
[{3},{2},{4},{5},{1},{6}]=>[{6},{1},{5},{4},{2},{3}]=>[1,1,1,1,1,1]
[{3},{2},{4},{6},{1},{5}]=>[{5},{1},{6},{4},{2},{3}]=>[1,1,1,1,1,1]
[{3},{2},{5},{4},{1},{6}]=>[{6},{1},{4},{5},{2},{3}]=>[1,1,1,1,1,1]
[{3},{2},{6},{4},{1},{5}]=>[{5},{1},{4},{6},{2},{3}]=>[1,1,1,1,1,1]
[{3},{2},{5},{6},{1},{4}]=>[{4},{1},{6},{5},{2},{3}]=>[1,1,1,1,1,1]
[{3},{2},{6},{5},{1},{4}]=>[{4},{1},{5},{6},{2},{3}]=>[1,1,1,1,1,1]
[{4},{2},{3},{5},{1},{6}]=>[{6},{1},{5},{3},{2},{4}]=>[1,1,1,1,1,1]
[{4},{2},{3},{6},{1},{5}]=>[{5},{1},{6},{3},{2},{4}]=>[1,1,1,1,1,1]
[{5},{2},{3},{4},{1},{6}]=>[{6},{1},{4},{3},{2},{5}]=>[1,1,1,1,1,1]
[{6},{2},{3},{4},{1},{5}]=>[{5},{1},{4},{3},{2},{6}]=>[1,1,1,1,1,1]
[{5},{2},{3},{6},{1},{4}]=>[{4},{1},{6},{3},{2},{5}]=>[1,1,1,1,1,1]
[{6},{2},{3},{5},{1},{4}]=>[{4},{1},{5},{3},{2},{6}]=>[1,1,1,1,1,1]
[{4},{2},{5},{3},{1},{6}]=>[{6},{1},{3},{5},{2},{4}]=>[1,1,1,1,1,1]
[{4},{2},{6},{3},{1},{5}]=>[{5},{1},{3},{6},{2},{4}]=>[1,1,1,1,1,1]
[{5},{2},{4},{3},{1},{6}]=>[{6},{1},{3},{4},{2},{5}]=>[1,1,1,1,1,1]
[{6},{2},{4},{3},{1},{5}]=>[{5},{1},{3},{4},{2},{6}]=>[1,1,1,1,1,1]
[{5},{2},{6},{3},{1},{4}]=>[{4},{1},{3},{6},{2},{5}]=>[1,1,1,1,1,1]
[{6},{2},{5},{3},{1},{4}]=>[{4},{1},{3},{5},{2},{6}]=>[1,1,1,1,1,1]
[{4},{2},{5},{6},{1},{3}]=>[{3},{1},{6},{5},{2},{4}]=>[1,1,1,1,1,1]
[{4},{2},{6},{5},{1},{3}]=>[{3},{1},{5},{6},{2},{4}]=>[1,1,1,1,1,1]
[{5},{2},{4},{6},{1},{3}]=>[{3},{1},{6},{4},{2},{5}]=>[1,1,1,1,1,1]
[{6},{2},{4},{5},{1},{3}]=>[{3},{1},{5},{4},{2},{6}]=>[1,1,1,1,1,1]
[{5},{2},{6},{4},{1},{3}]=>[{3},{1},{4},{6},{2},{5}]=>[1,1,1,1,1,1]
[{6},{2},{5},{4},{1},{3}]=>[{3},{1},{4},{5},{2},{6}]=>[1,1,1,1,1,1]
[{3},{4},{2},{5},{1},{6}]=>[{6},{1},{5},{2},{4},{3}]=>[1,1,1,1,1,1]
[{3},{4},{2},{6},{1},{5}]=>[{5},{1},{6},{2},{4},{3}]=>[1,1,1,1,1,1]
[{3},{5},{2},{4},{1},{6}]=>[{6},{1},{4},{2},{5},{3}]=>[1,1,1,1,1,1]
[{3},{6},{2},{4},{1},{5}]=>[{5},{1},{4},{2},{6},{3}]=>[1,1,1,1,1,1]
[{3},{5},{2},{6},{1},{4}]=>[{4},{1},{6},{2},{5},{3}]=>[1,1,1,1,1,1]
[{3},{6},{2},{5},{1},{4}]=>[{4},{1},{5},{2},{6},{3}]=>[1,1,1,1,1,1]
[{4},{3},{2},{5},{1},{6}]=>[{6},{1},{5},{2},{3},{4}]=>[1,1,1,1,1,1]
[{4},{3},{2},{6},{1},{5}]=>[{5},{1},{6},{2},{3},{4}]=>[1,1,1,1,1,1]
[{5},{3},{2},{4},{1},{6}]=>[{6},{1},{4},{2},{3},{5}]=>[1,1,1,1,1,1]
[{6},{3},{2},{4},{1},{5}]=>[{5},{1},{4},{2},{3},{6}]=>[1,1,1,1,1,1]
[{5},{3},{2},{6},{1},{4}]=>[{4},{1},{6},{2},{3},{5}]=>[1,1,1,1,1,1]
[{6},{3},{2},{5},{1},{4}]=>[{4},{1},{5},{2},{3},{6}]=>[1,1,1,1,1,1]
[{4},{5},{2},{3},{1},{6}]=>[{6},{1},{3},{2},{5},{4}]=>[1,1,1,1,1,1]
[{4},{6},{2},{3},{1},{5}]=>[{5},{1},{3},{2},{6},{4}]=>[1,1,1,1,1,1]
[{5},{4},{2},{3},{1},{6}]=>[{6},{1},{3},{2},{4},{5}]=>[1,1,1,1,1,1]
[{6},{4},{2},{3},{1},{5}]=>[{5},{1},{3},{2},{4},{6}]=>[1,1,1,1,1,1]
[{5},{6},{2},{3},{1},{4}]=>[{4},{1},{3},{2},{6},{5}]=>[1,1,1,1,1,1]
[{6},{5},{2},{3},{1},{4}]=>[{4},{1},{3},{2},{5},{6}]=>[1,1,1,1,1,1]
[{4},{5},{2},{6},{1},{3}]=>[{3},{1},{6},{2},{5},{4}]=>[1,1,1,1,1,1]
[{4},{6},{2},{5},{1},{3}]=>[{3},{1},{5},{2},{6},{4}]=>[1,1,1,1,1,1]
[{5},{4},{2},{6},{1},{3}]=>[{3},{1},{6},{2},{4},{5}]=>[1,1,1,1,1,1]
[{6},{4},{2},{5},{1},{3}]=>[{3},{1},{5},{2},{4},{6}]=>[1,1,1,1,1,1]
[{5},{6},{2},{4},{1},{3}]=>[{3},{1},{4},{2},{6},{5}]=>[1,1,1,1,1,1]
[{6},{5},{2},{4},{1},{3}]=>[{3},{1},{4},{2},{5},{6}]=>[1,1,1,1,1,1]
[{3},{4},{5},{2},{1},{6}]=>[{6},{1},{2},{5},{4},{3}]=>[1,1,1,1,1,1]
[{3},{4},{6},{2},{1},{5}]=>[{5},{1},{2},{6},{4},{3}]=>[1,1,1,1,1,1]
[{3},{5},{4},{2},{1},{6}]=>[{6},{1},{2},{4},{5},{3}]=>[1,1,1,1,1,1]
[{3},{6},{4},{2},{1},{5}]=>[{5},{1},{2},{4},{6},{3}]=>[1,1,1,1,1,1]
[{3},{5},{6},{2},{1},{4}]=>[{4},{1},{2},{6},{5},{3}]=>[1,1,1,1,1,1]
[{3},{6},{5},{2},{1},{4}]=>[{4},{1},{2},{5},{6},{3}]=>[1,1,1,1,1,1]
[{4},{3},{5},{2},{1},{6}]=>[{6},{1},{2},{5},{3},{4}]=>[1,1,1,1,1,1]
[{4},{3},{6},{2},{1},{5}]=>[{5},{1},{2},{6},{3},{4}]=>[1,1,1,1,1,1]
[{5},{3},{4},{2},{1},{6}]=>[{6},{1},{2},{4},{3},{5}]=>[1,1,1,1,1,1]
[{6},{3},{4},{2},{1},{5}]=>[{5},{1},{2},{4},{3},{6}]=>[1,1,1,1,1,1]
[{5},{3},{6},{2},{1},{4}]=>[{4},{1},{2},{6},{3},{5}]=>[1,1,1,1,1,1]
[{6},{3},{5},{2},{1},{4}]=>[{4},{1},{2},{5},{3},{6}]=>[1,1,1,1,1,1]
[{4},{5},{3},{2},{1},{6}]=>[{6},{1},{2},{3},{5},{4}]=>[1,1,1,1,1,1]
[{4},{6},{3},{2},{1},{5}]=>[{5},{1},{2},{3},{6},{4}]=>[1,1,1,1,1,1]
[{5},{4},{3},{2},{1},{6}]=>[{6},{1},{2},{3},{4},{5}]=>[1,1,1,1,1,1]
[{6},{4},{3},{2},{1},{5}]=>[{5},{1},{2},{3},{4},{6}]=>[1,1,1,1,1,1]
[{5},{6},{3},{2},{1},{4}]=>[{4},{1},{2},{3},{6},{5}]=>[1,1,1,1,1,1]
[{6},{5},{3},{2},{1},{4}]=>[{4},{1},{2},{3},{5},{6}]=>[1,1,1,1,1,1]
[{4},{5},{6},{2},{1},{3}]=>[{3},{1},{2},{6},{5},{4}]=>[1,1,1,1,1,1]
[{4},{6},{5},{2},{1},{3}]=>[{3},{1},{2},{5},{6},{4}]=>[1,1,1,1,1,1]
[{5},{4},{6},{2},{1},{3}]=>[{3},{1},{2},{6},{4},{5}]=>[1,1,1,1,1,1]
[{6},{4},{5},{2},{1},{3}]=>[{3},{1},{2},{5},{4},{6}]=>[1,1,1,1,1,1]
[{5},{6},{4},{2},{1},{3}]=>[{3},{1},{2},{4},{6},{5}]=>[1,1,1,1,1,1]
[{6},{5},{4},{2},{1},{3}]=>[{3},{1},{2},{4},{5},{6}]=>[1,1,1,1,1,1]
[{3},{4},{5},{6},{1},{2}]=>[{2},{1},{6},{5},{4},{3}]=>[1,1,1,1,1,1]
[{3},{4},{6},{5},{1},{2}]=>[{2},{1},{5},{6},{4},{3}]=>[1,1,1,1,1,1]
[{3},{5},{4},{6},{1},{2}]=>[{2},{1},{6},{4},{5},{3}]=>[1,1,1,1,1,1]
[{3},{6},{4},{5},{1},{2}]=>[{2},{1},{5},{4},{6},{3}]=>[1,1,1,1,1,1]
[{3},{5},{6},{4},{1},{2}]=>[{2},{1},{4},{6},{5},{3}]=>[1,1,1,1,1,1]
[{3},{6},{5},{4},{1},{2}]=>[{2},{1},{4},{5},{6},{3}]=>[1,1,1,1,1,1]
[{4},{3},{5},{6},{1},{2}]=>[{2},{1},{6},{5},{3},{4}]=>[1,1,1,1,1,1]
[{4},{3},{6},{5},{1},{2}]=>[{2},{1},{5},{6},{3},{4}]=>[1,1,1,1,1,1]
[{5},{3},{4},{6},{1},{2}]=>[{2},{1},{6},{4},{3},{5}]=>[1,1,1,1,1,1]
[{6},{3},{4},{5},{1},{2}]=>[{2},{1},{5},{4},{3},{6}]=>[1,1,1,1,1,1]
[{5},{3},{6},{4},{1},{2}]=>[{2},{1},{4},{6},{3},{5}]=>[1,1,1,1,1,1]
[{6},{3},{5},{4},{1},{2}]=>[{2},{1},{4},{5},{3},{6}]=>[1,1,1,1,1,1]
[{4},{5},{3},{6},{1},{2}]=>[{2},{1},{6},{3},{5},{4}]=>[1,1,1,1,1,1]
[{4},{6},{3},{5},{1},{2}]=>[{2},{1},{5},{3},{6},{4}]=>[1,1,1,1,1,1]
[{5},{4},{3},{6},{1},{2}]=>[{2},{1},{6},{3},{4},{5}]=>[1,1,1,1,1,1]
[{6},{4},{3},{5},{1},{2}]=>[{2},{1},{5},{3},{4},{6}]=>[1,1,1,1,1,1]
[{5},{6},{3},{4},{1},{2}]=>[{2},{1},{4},{3},{6},{5}]=>[1,1,1,1,1,1]
[{6},{5},{3},{4},{1},{2}]=>[{2},{1},{4},{3},{5},{6}]=>[1,1,1,1,1,1]
[{4},{5},{6},{3},{1},{2}]=>[{2},{1},{3},{6},{5},{4}]=>[1,1,1,1,1,1]
[{4},{6},{5},{3},{1},{2}]=>[{2},{1},{3},{5},{6},{4}]=>[1,1,1,1,1,1]
[{5},{4},{6},{3},{1},{2}]=>[{2},{1},{3},{6},{4},{5}]=>[1,1,1,1,1,1]
[{6},{4},{5},{3},{1},{2}]=>[{2},{1},{3},{5},{4},{6}]=>[1,1,1,1,1,1]
[{5},{6},{4},{3},{1},{2}]=>[{2},{1},{3},{4},{6},{5}]=>[1,1,1,1,1,1]
[{6},{5},{4},{3},{1},{2}]=>[{2},{1},{3},{4},{5},{6}]=>[1,1,1,1,1,1]
[{2},{3},{4},{5},{6},{1}]=>[{1},{6},{5},{4},{3},{2}]=>[1,1,1,1,1,1]
[{2},{3},{4},{6},{5},{1}]=>[{1},{5},{6},{4},{3},{2}]=>[1,1,1,1,1,1]
[{2},{3},{5},{4},{6},{1}]=>[{1},{6},{4},{5},{3},{2}]=>[1,1,1,1,1,1]
[{2},{3},{6},{4},{5},{1}]=>[{1},{5},{4},{6},{3},{2}]=>[1,1,1,1,1,1]
[{2},{3},{5},{6},{4},{1}]=>[{1},{4},{6},{5},{3},{2}]=>[1,1,1,1,1,1]
[{2},{3},{6},{5},{4},{1}]=>[{1},{4},{5},{6},{3},{2}]=>[1,1,1,1,1,1]
[{2},{4},{3},{5},{6},{1}]=>[{1},{6},{5},{3},{4},{2}]=>[1,1,1,1,1,1]
[{2},{4},{3},{6},{5},{1}]=>[{1},{5},{6},{3},{4},{2}]=>[1,1,1,1,1,1]
[{2},{5},{3},{4},{6},{1}]=>[{1},{6},{4},{3},{5},{2}]=>[1,1,1,1,1,1]
[{2},{6},{3},{4},{5},{1}]=>[{1},{5},{4},{3},{6},{2}]=>[1,1,1,1,1,1]
[{2},{5},{3},{6},{4},{1}]=>[{1},{4},{6},{3},{5},{2}]=>[1,1,1,1,1,1]
[{2},{6},{3},{5},{4},{1}]=>[{1},{4},{5},{3},{6},{2}]=>[1,1,1,1,1,1]
[{2},{4},{5},{3},{6},{1}]=>[{1},{6},{3},{5},{4},{2}]=>[1,1,1,1,1,1]
[{2},{4},{6},{3},{5},{1}]=>[{1},{5},{3},{6},{4},{2}]=>[1,1,1,1,1,1]
[{2},{5},{4},{3},{6},{1}]=>[{1},{6},{3},{4},{5},{2}]=>[1,1,1,1,1,1]
[{2},{6},{4},{3},{5},{1}]=>[{1},{5},{3},{4},{6},{2}]=>[1,1,1,1,1,1]
[{2},{5},{6},{3},{4},{1}]=>[{1},{4},{3},{6},{5},{2}]=>[1,1,1,1,1,1]
[{2},{6},{5},{3},{4},{1}]=>[{1},{4},{3},{5},{6},{2}]=>[1,1,1,1,1,1]
[{2},{4},{5},{6},{3},{1}]=>[{1},{3},{6},{5},{4},{2}]=>[1,1,1,1,1,1]
[{2},{4},{6},{5},{3},{1}]=>[{1},{3},{5},{6},{4},{2}]=>[1,1,1,1,1,1]
[{2},{5},{4},{6},{3},{1}]=>[{1},{3},{6},{4},{5},{2}]=>[1,1,1,1,1,1]
[{2},{6},{4},{5},{3},{1}]=>[{1},{3},{5},{4},{6},{2}]=>[1,1,1,1,1,1]
[{2},{5},{6},{4},{3},{1}]=>[{1},{3},{4},{6},{5},{2}]=>[1,1,1,1,1,1]
[{2},{6},{5},{4},{3},{1}]=>[{1},{3},{4},{5},{6},{2}]=>[1,1,1,1,1,1]
[{3},{2},{4},{5},{6},{1}]=>[{1},{6},{5},{4},{2},{3}]=>[1,1,1,1,1,1]
[{3},{2},{4},{6},{5},{1}]=>[{1},{5},{6},{4},{2},{3}]=>[1,1,1,1,1,1]
[{3},{2},{5},{4},{6},{1}]=>[{1},{6},{4},{5},{2},{3}]=>[1,1,1,1,1,1]
[{3},{2},{6},{4},{5},{1}]=>[{1},{5},{4},{6},{2},{3}]=>[1,1,1,1,1,1]
[{3},{2},{5},{6},{4},{1}]=>[{1},{4},{6},{5},{2},{3}]=>[1,1,1,1,1,1]
[{3},{2},{6},{5},{4},{1}]=>[{1},{4},{5},{6},{2},{3}]=>[1,1,1,1,1,1]
[{4},{2},{3},{5},{6},{1}]=>[{1},{6},{5},{3},{2},{4}]=>[1,1,1,1,1,1]
[{4},{2},{3},{6},{5},{1}]=>[{1},{5},{6},{3},{2},{4}]=>[1,1,1,1,1,1]
[{5},{2},{3},{4},{6},{1}]=>[{1},{6},{4},{3},{2},{5}]=>[1,1,1,1,1,1]
[{6},{2},{3},{4},{5},{1}]=>[{1},{5},{4},{3},{2},{6}]=>[1,1,1,1,1,1]
[{5},{2},{3},{6},{4},{1}]=>[{1},{4},{6},{3},{2},{5}]=>[1,1,1,1,1,1]
[{6},{2},{3},{5},{4},{1}]=>[{1},{4},{5},{3},{2},{6}]=>[1,1,1,1,1,1]
[{4},{2},{5},{3},{6},{1}]=>[{1},{6},{3},{5},{2},{4}]=>[1,1,1,1,1,1]
[{4},{2},{6},{3},{5},{1}]=>[{1},{5},{3},{6},{2},{4}]=>[1,1,1,1,1,1]
[{5},{2},{4},{3},{6},{1}]=>[{1},{6},{3},{4},{2},{5}]=>[1,1,1,1,1,1]
[{6},{2},{4},{3},{5},{1}]=>[{1},{5},{3},{4},{2},{6}]=>[1,1,1,1,1,1]
[{5},{2},{6},{3},{4},{1}]=>[{1},{4},{3},{6},{2},{5}]=>[1,1,1,1,1,1]
[{6},{2},{5},{3},{4},{1}]=>[{1},{4},{3},{5},{2},{6}]=>[1,1,1,1,1,1]
[{4},{2},{5},{6},{3},{1}]=>[{1},{3},{6},{5},{2},{4}]=>[1,1,1,1,1,1]
[{4},{2},{6},{5},{3},{1}]=>[{1},{3},{5},{6},{2},{4}]=>[1,1,1,1,1,1]
[{5},{2},{4},{6},{3},{1}]=>[{1},{3},{6},{4},{2},{5}]=>[1,1,1,1,1,1]
[{6},{2},{4},{5},{3},{1}]=>[{1},{3},{5},{4},{2},{6}]=>[1,1,1,1,1,1]
[{5},{2},{6},{4},{3},{1}]=>[{1},{3},{4},{6},{2},{5}]=>[1,1,1,1,1,1]
[{6},{2},{5},{4},{3},{1}]=>[{1},{3},{4},{5},{2},{6}]=>[1,1,1,1,1,1]
[{3},{4},{2},{5},{6},{1}]=>[{1},{6},{5},{2},{4},{3}]=>[1,1,1,1,1,1]
[{3},{4},{2},{6},{5},{1}]=>[{1},{5},{6},{2},{4},{3}]=>[1,1,1,1,1,1]
[{3},{5},{2},{4},{6},{1}]=>[{1},{6},{4},{2},{5},{3}]=>[1,1,1,1,1,1]
[{3},{6},{2},{4},{5},{1}]=>[{1},{5},{4},{2},{6},{3}]=>[1,1,1,1,1,1]
[{3},{5},{2},{6},{4},{1}]=>[{1},{4},{6},{2},{5},{3}]=>[1,1,1,1,1,1]
[{3},{6},{2},{5},{4},{1}]=>[{1},{4},{5},{2},{6},{3}]=>[1,1,1,1,1,1]
[{4},{3},{2},{5},{6},{1}]=>[{1},{6},{5},{2},{3},{4}]=>[1,1,1,1,1,1]
[{4},{3},{2},{6},{5},{1}]=>[{1},{5},{6},{2},{3},{4}]=>[1,1,1,1,1,1]
[{5},{3},{2},{4},{6},{1}]=>[{1},{6},{4},{2},{3},{5}]=>[1,1,1,1,1,1]
[{6},{3},{2},{4},{5},{1}]=>[{1},{5},{4},{2},{3},{6}]=>[1,1,1,1,1,1]
[{5},{3},{2},{6},{4},{1}]=>[{1},{4},{6},{2},{3},{5}]=>[1,1,1,1,1,1]
[{6},{3},{2},{5},{4},{1}]=>[{1},{4},{5},{2},{3},{6}]=>[1,1,1,1,1,1]
[{4},{5},{2},{3},{6},{1}]=>[{1},{6},{3},{2},{5},{4}]=>[1,1,1,1,1,1]
[{4},{6},{2},{3},{5},{1}]=>[{1},{5},{3},{2},{6},{4}]=>[1,1,1,1,1,1]
[{5},{4},{2},{3},{6},{1}]=>[{1},{6},{3},{2},{4},{5}]=>[1,1,1,1,1,1]
[{6},{4},{2},{3},{5},{1}]=>[{1},{5},{3},{2},{4},{6}]=>[1,1,1,1,1,1]
[{5},{6},{2},{3},{4},{1}]=>[{1},{4},{3},{2},{6},{5}]=>[1,1,1,1,1,1]
[{6},{5},{2},{3},{4},{1}]=>[{1},{4},{3},{2},{5},{6}]=>[1,1,1,1,1,1]
[{4},{5},{2},{6},{3},{1}]=>[{1},{3},{6},{2},{5},{4}]=>[1,1,1,1,1,1]
[{4},{6},{2},{5},{3},{1}]=>[{1},{3},{5},{2},{6},{4}]=>[1,1,1,1,1,1]
[{5},{4},{2},{6},{3},{1}]=>[{1},{3},{6},{2},{4},{5}]=>[1,1,1,1,1,1]
[{6},{4},{2},{5},{3},{1}]=>[{1},{3},{5},{2},{4},{6}]=>[1,1,1,1,1,1]
[{5},{6},{2},{4},{3},{1}]=>[{1},{3},{4},{2},{6},{5}]=>[1,1,1,1,1,1]
[{6},{5},{2},{4},{3},{1}]=>[{1},{3},{4},{2},{5},{6}]=>[1,1,1,1,1,1]
[{3},{4},{5},{2},{6},{1}]=>[{1},{6},{2},{5},{4},{3}]=>[1,1,1,1,1,1]
[{3},{4},{6},{2},{5},{1}]=>[{1},{5},{2},{6},{4},{3}]=>[1,1,1,1,1,1]
[{3},{5},{4},{2},{6},{1}]=>[{1},{6},{2},{4},{5},{3}]=>[1,1,1,1,1,1]
[{3},{6},{4},{2},{5},{1}]=>[{1},{5},{2},{4},{6},{3}]=>[1,1,1,1,1,1]
[{3},{5},{6},{2},{4},{1}]=>[{1},{4},{2},{6},{5},{3}]=>[1,1,1,1,1,1]
[{3},{6},{5},{2},{4},{1}]=>[{1},{4},{2},{5},{6},{3}]=>[1,1,1,1,1,1]
[{4},{3},{5},{2},{6},{1}]=>[{1},{6},{2},{5},{3},{4}]=>[1,1,1,1,1,1]
[{4},{3},{6},{2},{5},{1}]=>[{1},{5},{2},{6},{3},{4}]=>[1,1,1,1,1,1]
[{5},{3},{4},{2},{6},{1}]=>[{1},{6},{2},{4},{3},{5}]=>[1,1,1,1,1,1]
[{6},{3},{4},{2},{5},{1}]=>[{1},{5},{2},{4},{3},{6}]=>[1,1,1,1,1,1]
[{5},{3},{6},{2},{4},{1}]=>[{1},{4},{2},{6},{3},{5}]=>[1,1,1,1,1,1]
[{6},{3},{5},{2},{4},{1}]=>[{1},{4},{2},{5},{3},{6}]=>[1,1,1,1,1,1]
[{4},{5},{3},{2},{6},{1}]=>[{1},{6},{2},{3},{5},{4}]=>[1,1,1,1,1,1]
[{4},{6},{3},{2},{5},{1}]=>[{1},{5},{2},{3},{6},{4}]=>[1,1,1,1,1,1]
[{5},{4},{3},{2},{6},{1}]=>[{1},{6},{2},{3},{4},{5}]=>[1,1,1,1,1,1]
[{6},{4},{3},{2},{5},{1}]=>[{1},{5},{2},{3},{4},{6}]=>[1,1,1,1,1,1]
[{5},{6},{3},{2},{4},{1}]=>[{1},{4},{2},{3},{6},{5}]=>[1,1,1,1,1,1]
[{6},{5},{3},{2},{4},{1}]=>[{1},{4},{2},{3},{5},{6}]=>[1,1,1,1,1,1]
[{4},{5},{6},{2},{3},{1}]=>[{1},{3},{2},{6},{5},{4}]=>[1,1,1,1,1,1]
[{4},{6},{5},{2},{3},{1}]=>[{1},{3},{2},{5},{6},{4}]=>[1,1,1,1,1,1]
[{5},{4},{6},{2},{3},{1}]=>[{1},{3},{2},{6},{4},{5}]=>[1,1,1,1,1,1]
[{6},{4},{5},{2},{3},{1}]=>[{1},{3},{2},{5},{4},{6}]=>[1,1,1,1,1,1]
[{5},{6},{4},{2},{3},{1}]=>[{1},{3},{2},{4},{6},{5}]=>[1,1,1,1,1,1]
[{6},{5},{4},{2},{3},{1}]=>[{1},{3},{2},{4},{5},{6}]=>[1,1,1,1,1,1]
[{3},{4},{5},{6},{2},{1}]=>[{1},{2},{6},{5},{4},{3}]=>[1,1,1,1,1,1]
[{3},{4},{6},{5},{2},{1}]=>[{1},{2},{5},{6},{4},{3}]=>[1,1,1,1,1,1]
[{3},{5},{4},{6},{2},{1}]=>[{1},{2},{6},{4},{5},{3}]=>[1,1,1,1,1,1]
[{3},{6},{4},{5},{2},{1}]=>[{1},{2},{5},{4},{6},{3}]=>[1,1,1,1,1,1]
[{3},{5},{6},{4},{2},{1}]=>[{1},{2},{4},{6},{5},{3}]=>[1,1,1,1,1,1]
[{3},{6},{5},{4},{2},{1}]=>[{1},{2},{4},{5},{6},{3}]=>[1,1,1,1,1,1]
[{4},{3},{5},{6},{2},{1}]=>[{1},{2},{6},{5},{3},{4}]=>[1,1,1,1,1,1]
[{4},{3},{6},{5},{2},{1}]=>[{1},{2},{5},{6},{3},{4}]=>[1,1,1,1,1,1]
[{5},{3},{4},{6},{2},{1}]=>[{1},{2},{6},{4},{3},{5}]=>[1,1,1,1,1,1]
[{6},{3},{4},{5},{2},{1}]=>[{1},{2},{5},{4},{3},{6}]=>[1,1,1,1,1,1]
[{5},{3},{6},{4},{2},{1}]=>[{1},{2},{4},{6},{3},{5}]=>[1,1,1,1,1,1]
[{6},{3},{5},{4},{2},{1}]=>[{1},{2},{4},{5},{3},{6}]=>[1,1,1,1,1,1]
[{4},{5},{3},{6},{2},{1}]=>[{1},{2},{6},{3},{5},{4}]=>[1,1,1,1,1,1]
[{4},{6},{3},{5},{2},{1}]=>[{1},{2},{5},{3},{6},{4}]=>[1,1,1,1,1,1]
[{5},{4},{3},{6},{2},{1}]=>[{1},{2},{6},{3},{4},{5}]=>[1,1,1,1,1,1]
[{6},{4},{3},{5},{2},{1}]=>[{1},{2},{5},{3},{4},{6}]=>[1,1,1,1,1,1]
[{5},{6},{3},{4},{2},{1}]=>[{1},{2},{4},{3},{6},{5}]=>[1,1,1,1,1,1]
[{6},{5},{3},{4},{2},{1}]=>[{1},{2},{4},{3},{5},{6}]=>[1,1,1,1,1,1]
[{4},{5},{6},{3},{2},{1}]=>[{1},{2},{3},{6},{5},{4}]=>[1,1,1,1,1,1]
[{4},{6},{5},{3},{2},{1}]=>[{1},{2},{3},{5},{6},{4}]=>[1,1,1,1,1,1]
[{5},{4},{6},{3},{2},{1}]=>[{1},{2},{3},{6},{4},{5}]=>[1,1,1,1,1,1]
[{6},{4},{5},{3},{2},{1}]=>[{1},{2},{3},{5},{4},{6}]=>[1,1,1,1,1,1]
[{5},{6},{4},{3},{2},{1}]=>[{1},{2},{3},{4},{6},{5}]=>[1,1,1,1,1,1]
[{6},{5},{4},{3},{2},{1}]=>[{1},{2},{3},{4},{5},{6}]=>[1,1,1,1,1,1]
[{1},{2},{3},{4},{5,6}]=>[{5,6},{4},{3},{2},{1}]=>[2,1,1,1,1]
[{1},{2},{3},{5},{4,6}]=>[{4,6},{5},{3},{2},{1}]=>[2,1,1,1,1]
[{1},{2},{3},{6},{4,5}]=>[{4,5},{6},{3},{2},{1}]=>[2,1,1,1,1]
[{1},{2},{4},{3},{5,6}]=>[{5,6},{3},{4},{2},{1}]=>[2,1,1,1,1]
[{1},{2},{5},{3},{4,6}]=>[{4,6},{3},{5},{2},{1}]=>[2,1,1,1,1]
[{1},{2},{6},{3},{4,5}]=>[{4,5},{3},{6},{2},{1}]=>[2,1,1,1,1]
[{1},{2},{4},{5},{3,6}]=>[{3,6},{5},{4},{2},{1}]=>[2,1,1,1,1]
[{1},{2},{4},{6},{3,5}]=>[{3,5},{6},{4},{2},{1}]=>[2,1,1,1,1]
[{1},{2},{5},{4},{3,6}]=>[{3,6},{4},{5},{2},{1}]=>[2,1,1,1,1]
[{1},{2},{6},{4},{3,5}]=>[{3,5},{4},{6},{2},{1}]=>[2,1,1,1,1]
[{1},{2},{5},{6},{3,4}]=>[{3,4},{6},{5},{2},{1}]=>[2,1,1,1,1]
[{1},{2},{6},{5},{3,4}]=>[{3,4},{5},{6},{2},{1}]=>[2,1,1,1,1]
[{1},{3},{2},{4},{5,6}]=>[{5,6},{4},{2},{3},{1}]=>[2,1,1,1,1]
[{1},{3},{2},{5},{4,6}]=>[{4,6},{5},{2},{3},{1}]=>[2,1,1,1,1]
[{1},{3},{2},{6},{4,5}]=>[{4,5},{6},{2},{3},{1}]=>[2,1,1,1,1]
[{1},{4},{2},{3},{5,6}]=>[{5,6},{3},{2},{4},{1}]=>[2,1,1,1,1]
[{1},{5},{2},{3},{4,6}]=>[{4,6},{3},{2},{5},{1}]=>[2,1,1,1,1]
[{1},{6},{2},{3},{4,5}]=>[{4,5},{3},{2},{6},{1}]=>[2,1,1,1,1]
[{1},{4},{2},{5},{3,6}]=>[{3,6},{5},{2},{4},{1}]=>[2,1,1,1,1]
[{1},{4},{2},{6},{3,5}]=>[{3,5},{6},{2},{4},{1}]=>[2,1,1,1,1]
[{1},{5},{2},{4},{3,6}]=>[{3,6},{4},{2},{5},{1}]=>[2,1,1,1,1]
[{1},{6},{2},{4},{3,5}]=>[{3,5},{4},{2},{6},{1}]=>[2,1,1,1,1]
[{1},{5},{2},{6},{3,4}]=>[{3,4},{6},{2},{5},{1}]=>[2,1,1,1,1]
[{1},{6},{2},{5},{3,4}]=>[{3,4},{5},{2},{6},{1}]=>[2,1,1,1,1]
[{1},{3},{4},{2},{5,6}]=>[{5,6},{2},{4},{3},{1}]=>[2,1,1,1,1]
[{1},{3},{5},{2},{4,6}]=>[{4,6},{2},{5},{3},{1}]=>[2,1,1,1,1]
[{1},{3},{6},{2},{4,5}]=>[{4,5},{2},{6},{3},{1}]=>[2,1,1,1,1]
[{1},{4},{3},{2},{5,6}]=>[{5,6},{2},{3},{4},{1}]=>[2,1,1,1,1]
[{1},{5},{3},{2},{4,6}]=>[{4,6},{2},{3},{5},{1}]=>[2,1,1,1,1]
[{1},{6},{3},{2},{4,5}]=>[{4,5},{2},{3},{6},{1}]=>[2,1,1,1,1]
[{1},{4},{5},{2},{3,6}]=>[{3,6},{2},{5},{4},{1}]=>[2,1,1,1,1]
[{1},{4},{6},{2},{3,5}]=>[{3,5},{2},{6},{4},{1}]=>[2,1,1,1,1]
[{1},{5},{4},{2},{3,6}]=>[{3,6},{2},{4},{5},{1}]=>[2,1,1,1,1]
[{1},{6},{4},{2},{3,5}]=>[{3,5},{2},{4},{6},{1}]=>[2,1,1,1,1]
[{1},{5},{6},{2},{3,4}]=>[{3,4},{2},{6},{5},{1}]=>[2,1,1,1,1]
[{1},{6},{5},{2},{3,4}]=>[{3,4},{2},{5},{6},{1}]=>[2,1,1,1,1]
[{1},{3},{4},{5},{2,6}]=>[{2,6},{5},{4},{3},{1}]=>[2,1,1,1,1]
[{1},{3},{4},{6},{2,5}]=>[{2,5},{6},{4},{3},{1}]=>[2,1,1,1,1]
[{1},{3},{5},{4},{2,6}]=>[{2,6},{4},{5},{3},{1}]=>[2,1,1,1,1]
[{1},{3},{6},{4},{2,5}]=>[{2,5},{4},{6},{3},{1}]=>[2,1,1,1,1]
[{1},{3},{5},{6},{2,4}]=>[{2,4},{6},{5},{3},{1}]=>[2,1,1,1,1]
[{1},{3},{6},{5},{2,4}]=>[{2,4},{5},{6},{3},{1}]=>[2,1,1,1,1]
[{1},{4},{3},{5},{2,6}]=>[{2,6},{5},{3},{4},{1}]=>[2,1,1,1,1]
[{1},{4},{3},{6},{2,5}]=>[{2,5},{6},{3},{4},{1}]=>[2,1,1,1,1]
[{1},{5},{3},{4},{2,6}]=>[{2,6},{4},{3},{5},{1}]=>[2,1,1,1,1]
[{1},{6},{3},{4},{2,5}]=>[{2,5},{4},{3},{6},{1}]=>[2,1,1,1,1]
[{1},{5},{3},{6},{2,4}]=>[{2,4},{6},{3},{5},{1}]=>[2,1,1,1,1]
[{1},{6},{3},{5},{2,4}]=>[{2,4},{5},{3},{6},{1}]=>[2,1,1,1,1]
[{1},{4},{5},{3},{2,6}]=>[{2,6},{3},{5},{4},{1}]=>[2,1,1,1,1]
[{1},{4},{6},{3},{2,5}]=>[{2,5},{3},{6},{4},{1}]=>[2,1,1,1,1]
[{1},{5},{4},{3},{2,6}]=>[{2,6},{3},{4},{5},{1}]=>[2,1,1,1,1]
[{1},{6},{4},{3},{2,5}]=>[{2,5},{3},{4},{6},{1}]=>[2,1,1,1,1]
[{1},{5},{6},{3},{2,4}]=>[{2,4},{3},{6},{5},{1}]=>[2,1,1,1,1]
[{1},{6},{5},{3},{2,4}]=>[{2,4},{3},{5},{6},{1}]=>[2,1,1,1,1]
[{1},{4},{5},{6},{2,3}]=>[{2,3},{6},{5},{4},{1}]=>[2,1,1,1,1]
[{1},{4},{6},{5},{2,3}]=>[{2,3},{5},{6},{4},{1}]=>[2,1,1,1,1]
[{1},{5},{4},{6},{2,3}]=>[{2,3},{6},{4},{5},{1}]=>[2,1,1,1,1]
[{1},{6},{4},{5},{2,3}]=>[{2,3},{5},{4},{6},{1}]=>[2,1,1,1,1]
[{1},{5},{6},{4},{2,3}]=>[{2,3},{4},{6},{5},{1}]=>[2,1,1,1,1]
[{1},{6},{5},{4},{2,3}]=>[{2,3},{4},{5},{6},{1}]=>[2,1,1,1,1]
[{2},{1},{3},{4},{5,6}]=>[{5,6},{4},{3},{1},{2}]=>[2,1,1,1,1]
[{2},{1},{3},{5},{4,6}]=>[{4,6},{5},{3},{1},{2}]=>[2,1,1,1,1]
[{2},{1},{3},{6},{4,5}]=>[{4,5},{6},{3},{1},{2}]=>[2,1,1,1,1]
[{2},{1},{4},{3},{5,6}]=>[{5,6},{3},{4},{1},{2}]=>[2,1,1,1,1]
[{2},{1},{5},{3},{4,6}]=>[{4,6},{3},{5},{1},{2}]=>[2,1,1,1,1]
[{2},{1},{6},{3},{4,5}]=>[{4,5},{3},{6},{1},{2}]=>[2,1,1,1,1]
[{2},{1},{4},{5},{3,6}]=>[{3,6},{5},{4},{1},{2}]=>[2,1,1,1,1]
[{2},{1},{4},{6},{3,5}]=>[{3,5},{6},{4},{1},{2}]=>[2,1,1,1,1]
[{2},{1},{5},{4},{3,6}]=>[{3,6},{4},{5},{1},{2}]=>[2,1,1,1,1]
[{2},{1},{6},{4},{3,5}]=>[{3,5},{4},{6},{1},{2}]=>[2,1,1,1,1]
[{2},{1},{5},{6},{3,4}]=>[{3,4},{6},{5},{1},{2}]=>[2,1,1,1,1]
[{2},{1},{6},{5},{3,4}]=>[{3,4},{5},{6},{1},{2}]=>[2,1,1,1,1]
[{3},{1},{2},{4},{5,6}]=>[{5,6},{4},{2},{1},{3}]=>[2,1,1,1,1]
[{3},{1},{2},{5},{4,6}]=>[{4,6},{5},{2},{1},{3}]=>[2,1,1,1,1]
[{3},{1},{2},{6},{4,5}]=>[{4,5},{6},{2},{1},{3}]=>[2,1,1,1,1]
[{4},{1},{2},{3},{5,6}]=>[{5,6},{3},{2},{1},{4}]=>[2,1,1,1,1]
[{5},{1},{2},{3},{4,6}]=>[{4,6},{3},{2},{1},{5}]=>[2,1,1,1,1]
[{6},{1},{2},{3},{4,5}]=>[{4,5},{3},{2},{1},{6}]=>[2,1,1,1,1]
[{4},{1},{2},{5},{3,6}]=>[{3,6},{5},{2},{1},{4}]=>[2,1,1,1,1]
[{4},{1},{2},{6},{3,5}]=>[{3,5},{6},{2},{1},{4}]=>[2,1,1,1,1]
[{5},{1},{2},{4},{3,6}]=>[{3,6},{4},{2},{1},{5}]=>[2,1,1,1,1]
[{6},{1},{2},{4},{3,5}]=>[{3,5},{4},{2},{1},{6}]=>[2,1,1,1,1]
[{5},{1},{2},{6},{3,4}]=>[{3,4},{6},{2},{1},{5}]=>[2,1,1,1,1]
[{6},{1},{2},{5},{3,4}]=>[{3,4},{5},{2},{1},{6}]=>[2,1,1,1,1]
[{3},{1},{4},{2},{5,6}]=>[{5,6},{2},{4},{1},{3}]=>[2,1,1,1,1]
[{3},{1},{5},{2},{4,6}]=>[{4,6},{2},{5},{1},{3}]=>[2,1,1,1,1]
[{3},{1},{6},{2},{4,5}]=>[{4,5},{2},{6},{1},{3}]=>[2,1,1,1,1]
[{4},{1},{3},{2},{5,6}]=>[{5,6},{2},{3},{1},{4}]=>[2,1,1,1,1]
[{5},{1},{3},{2},{4,6}]=>[{4,6},{2},{3},{1},{5}]=>[2,1,1,1,1]
[{6},{1},{3},{2},{4,5}]=>[{4,5},{2},{3},{1},{6}]=>[2,1,1,1,1]
[{4},{1},{5},{2},{3,6}]=>[{3,6},{2},{5},{1},{4}]=>[2,1,1,1,1]
[{4},{1},{6},{2},{3,5}]=>[{3,5},{2},{6},{1},{4}]=>[2,1,1,1,1]
[{5},{1},{4},{2},{3,6}]=>[{3,6},{2},{4},{1},{5}]=>[2,1,1,1,1]
[{6},{1},{4},{2},{3,5}]=>[{3,5},{2},{4},{1},{6}]=>[2,1,1,1,1]
[{5},{1},{6},{2},{3,4}]=>[{3,4},{2},{6},{1},{5}]=>[2,1,1,1,1]
[{6},{1},{5},{2},{3,4}]=>[{3,4},{2},{5},{1},{6}]=>[2,1,1,1,1]
[{3},{1},{4},{5},{2,6}]=>[{2,6},{5},{4},{1},{3}]=>[2,1,1,1,1]
[{3},{1},{4},{6},{2,5}]=>[{2,5},{6},{4},{1},{3}]=>[2,1,1,1,1]
[{3},{1},{5},{4},{2,6}]=>[{2,6},{4},{5},{1},{3}]=>[2,1,1,1,1]
[{3},{1},{6},{4},{2,5}]=>[{2,5},{4},{6},{1},{3}]=>[2,1,1,1,1]
[{3},{1},{5},{6},{2,4}]=>[{2,4},{6},{5},{1},{3}]=>[2,1,1,1,1]
[{3},{1},{6},{5},{2,4}]=>[{2,4},{5},{6},{1},{3}]=>[2,1,1,1,1]
[{4},{1},{3},{5},{2,6}]=>[{2,6},{5},{3},{1},{4}]=>[2,1,1,1,1]
[{4},{1},{3},{6},{2,5}]=>[{2,5},{6},{3},{1},{4}]=>[2,1,1,1,1]
[{5},{1},{3},{4},{2,6}]=>[{2,6},{4},{3},{1},{5}]=>[2,1,1,1,1]
[{6},{1},{3},{4},{2,5}]=>[{2,5},{4},{3},{1},{6}]=>[2,1,1,1,1]
[{5},{1},{3},{6},{2,4}]=>[{2,4},{6},{3},{1},{5}]=>[2,1,1,1,1]
[{6},{1},{3},{5},{2,4}]=>[{2,4},{5},{3},{1},{6}]=>[2,1,1,1,1]
[{4},{1},{5},{3},{2,6}]=>[{2,6},{3},{5},{1},{4}]=>[2,1,1,1,1]
[{4},{1},{6},{3},{2,5}]=>[{2,5},{3},{6},{1},{4}]=>[2,1,1,1,1]
[{5},{1},{4},{3},{2,6}]=>[{2,6},{3},{4},{1},{5}]=>[2,1,1,1,1]
[{6},{1},{4},{3},{2,5}]=>[{2,5},{3},{4},{1},{6}]=>[2,1,1,1,1]
[{5},{1},{6},{3},{2,4}]=>[{2,4},{3},{6},{1},{5}]=>[2,1,1,1,1]
[{6},{1},{5},{3},{2,4}]=>[{2,4},{3},{5},{1},{6}]=>[2,1,1,1,1]
[{4},{1},{5},{6},{2,3}]=>[{2,3},{6},{5},{1},{4}]=>[2,1,1,1,1]
[{4},{1},{6},{5},{2,3}]=>[{2,3},{5},{6},{1},{4}]=>[2,1,1,1,1]
[{5},{1},{4},{6},{2,3}]=>[{2,3},{6},{4},{1},{5}]=>[2,1,1,1,1]
[{6},{1},{4},{5},{2,3}]=>[{2,3},{5},{4},{1},{6}]=>[2,1,1,1,1]
[{5},{1},{6},{4},{2,3}]=>[{2,3},{4},{6},{1},{5}]=>[2,1,1,1,1]
[{6},{1},{5},{4},{2,3}]=>[{2,3},{4},{5},{1},{6}]=>[2,1,1,1,1]
[{2},{3},{1},{4},{5,6}]=>[{5,6},{4},{1},{3},{2}]=>[2,1,1,1,1]
[{2},{3},{1},{5},{4,6}]=>[{4,6},{5},{1},{3},{2}]=>[2,1,1,1,1]
[{2},{3},{1},{6},{4,5}]=>[{4,5},{6},{1},{3},{2}]=>[2,1,1,1,1]
[{2},{4},{1},{3},{5,6}]=>[{5,6},{3},{1},{4},{2}]=>[2,1,1,1,1]
[{2},{5},{1},{3},{4,6}]=>[{4,6},{3},{1},{5},{2}]=>[2,1,1,1,1]
[{2},{6},{1},{3},{4,5}]=>[{4,5},{3},{1},{6},{2}]=>[2,1,1,1,1]
[{2},{4},{1},{5},{3,6}]=>[{3,6},{5},{1},{4},{2}]=>[2,1,1,1,1]
[{2},{4},{1},{6},{3,5}]=>[{3,5},{6},{1},{4},{2}]=>[2,1,1,1,1]
[{2},{5},{1},{4},{3,6}]=>[{3,6},{4},{1},{5},{2}]=>[2,1,1,1,1]
[{2},{6},{1},{4},{3,5}]=>[{3,5},{4},{1},{6},{2}]=>[2,1,1,1,1]
[{2},{5},{1},{6},{3,4}]=>[{3,4},{6},{1},{5},{2}]=>[2,1,1,1,1]
[{2},{6},{1},{5},{3,4}]=>[{3,4},{5},{1},{6},{2}]=>[2,1,1,1,1]
[{3},{2},{1},{4},{5,6}]=>[{5,6},{4},{1},{2},{3}]=>[2,1,1,1,1]
[{3},{2},{1},{5},{4,6}]=>[{4,6},{5},{1},{2},{3}]=>[2,1,1,1,1]
[{3},{2},{1},{6},{4,5}]=>[{4,5},{6},{1},{2},{3}]=>[2,1,1,1,1]
[{4},{2},{1},{3},{5,6}]=>[{5,6},{3},{1},{2},{4}]=>[2,1,1,1,1]
[{5},{2},{1},{3},{4,6}]=>[{4,6},{3},{1},{2},{5}]=>[2,1,1,1,1]
[{6},{2},{1},{3},{4,5}]=>[{4,5},{3},{1},{2},{6}]=>[2,1,1,1,1]
[{4},{2},{1},{5},{3,6}]=>[{3,6},{5},{1},{2},{4}]=>[2,1,1,1,1]
[{4},{2},{1},{6},{3,5}]=>[{3,5},{6},{1},{2},{4}]=>[2,1,1,1,1]
[{5},{2},{1},{4},{3,6}]=>[{3,6},{4},{1},{2},{5}]=>[2,1,1,1,1]
[{6},{2},{1},{4},{3,5}]=>[{3,5},{4},{1},{2},{6}]=>[2,1,1,1,1]
[{5},{2},{1},{6},{3,4}]=>[{3,4},{6},{1},{2},{5}]=>[2,1,1,1,1]
[{6},{2},{1},{5},{3,4}]=>[{3,4},{5},{1},{2},{6}]=>[2,1,1,1,1]
[{3},{4},{1},{2},{5,6}]=>[{5,6},{2},{1},{4},{3}]=>[2,1,1,1,1]
[{3},{5},{1},{2},{4,6}]=>[{4,6},{2},{1},{5},{3}]=>[2,1,1,1,1]
[{3},{6},{1},{2},{4,5}]=>[{4,5},{2},{1},{6},{3}]=>[2,1,1,1,1]
[{4},{3},{1},{2},{5,6}]=>[{5,6},{2},{1},{3},{4}]=>[2,1,1,1,1]
[{5},{3},{1},{2},{4,6}]=>[{4,6},{2},{1},{3},{5}]=>[2,1,1,1,1]
[{6},{3},{1},{2},{4,5}]=>[{4,5},{2},{1},{3},{6}]=>[2,1,1,1,1]
[{4},{5},{1},{2},{3,6}]=>[{3,6},{2},{1},{5},{4}]=>[2,1,1,1,1]
[{4},{6},{1},{2},{3,5}]=>[{3,5},{2},{1},{6},{4}]=>[2,1,1,1,1]
[{5},{4},{1},{2},{3,6}]=>[{3,6},{2},{1},{4},{5}]=>[2,1,1,1,1]
[{6},{4},{1},{2},{3,5}]=>[{3,5},{2},{1},{4},{6}]=>[2,1,1,1,1]
[{5},{6},{1},{2},{3,4}]=>[{3,4},{2},{1},{6},{5}]=>[2,1,1,1,1]
[{6},{5},{1},{2},{3,4}]=>[{3,4},{2},{1},{5},{6}]=>[2,1,1,1,1]
[{3},{4},{1},{5},{2,6}]=>[{2,6},{5},{1},{4},{3}]=>[2,1,1,1,1]
[{3},{4},{1},{6},{2,5}]=>[{2,5},{6},{1},{4},{3}]=>[2,1,1,1,1]
[{3},{5},{1},{4},{2,6}]=>[{2,6},{4},{1},{5},{3}]=>[2,1,1,1,1]
[{3},{6},{1},{4},{2,5}]=>[{2,5},{4},{1},{6},{3}]=>[2,1,1,1,1]
[{3},{5},{1},{6},{2,4}]=>[{2,4},{6},{1},{5},{3}]=>[2,1,1,1,1]
[{3},{6},{1},{5},{2,4}]=>[{2,4},{5},{1},{6},{3}]=>[2,1,1,1,1]
[{4},{3},{1},{5},{2,6}]=>[{2,6},{5},{1},{3},{4}]=>[2,1,1,1,1]
[{4},{3},{1},{6},{2,5}]=>[{2,5},{6},{1},{3},{4}]=>[2,1,1,1,1]
[{5},{3},{1},{4},{2,6}]=>[{2,6},{4},{1},{3},{5}]=>[2,1,1,1,1]
[{6},{3},{1},{4},{2,5}]=>[{2,5},{4},{1},{3},{6}]=>[2,1,1,1,1]
[{5},{3},{1},{6},{2,4}]=>[{2,4},{6},{1},{3},{5}]=>[2,1,1,1,1]
[{6},{3},{1},{5},{2,4}]=>[{2,4},{5},{1},{3},{6}]=>[2,1,1,1,1]
[{4},{5},{1},{3},{2,6}]=>[{2,6},{3},{1},{5},{4}]=>[2,1,1,1,1]
[{4},{6},{1},{3},{2,5}]=>[{2,5},{3},{1},{6},{4}]=>[2,1,1,1,1]
[{5},{4},{1},{3},{2,6}]=>[{2,6},{3},{1},{4},{5}]=>[2,1,1,1,1]
[{6},{4},{1},{3},{2,5}]=>[{2,5},{3},{1},{4},{6}]=>[2,1,1,1,1]
[{5},{6},{1},{3},{2,4}]=>[{2,4},{3},{1},{6},{5}]=>[2,1,1,1,1]
[{6},{5},{1},{3},{2,4}]=>[{2,4},{3},{1},{5},{6}]=>[2,1,1,1,1]
[{4},{5},{1},{6},{2,3}]=>[{2,3},{6},{1},{5},{4}]=>[2,1,1,1,1]
[{4},{6},{1},{5},{2,3}]=>[{2,3},{5},{1},{6},{4}]=>[2,1,1,1,1]
[{5},{4},{1},{6},{2,3}]=>[{2,3},{6},{1},{4},{5}]=>[2,1,1,1,1]
[{6},{4},{1},{5},{2,3}]=>[{2,3},{5},{1},{4},{6}]=>[2,1,1,1,1]
[{5},{6},{1},{4},{2,3}]=>[{2,3},{4},{1},{6},{5}]=>[2,1,1,1,1]
[{6},{5},{1},{4},{2,3}]=>[{2,3},{4},{1},{5},{6}]=>[2,1,1,1,1]
[{2},{3},{4},{1},{5,6}]=>[{5,6},{1},{4},{3},{2}]=>[2,1,1,1,1]
[{2},{3},{5},{1},{4,6}]=>[{4,6},{1},{5},{3},{2}]=>[2,1,1,1,1]
[{2},{3},{6},{1},{4,5}]=>[{4,5},{1},{6},{3},{2}]=>[2,1,1,1,1]
[{2},{4},{3},{1},{5,6}]=>[{5,6},{1},{3},{4},{2}]=>[2,1,1,1,1]
[{2},{5},{3},{1},{4,6}]=>[{4,6},{1},{3},{5},{2}]=>[2,1,1,1,1]
[{2},{6},{3},{1},{4,5}]=>[{4,5},{1},{3},{6},{2}]=>[2,1,1,1,1]
[{2},{4},{5},{1},{3,6}]=>[{3,6},{1},{5},{4},{2}]=>[2,1,1,1,1]
[{2},{4},{6},{1},{3,5}]=>[{3,5},{1},{6},{4},{2}]=>[2,1,1,1,1]
[{2},{5},{4},{1},{3,6}]=>[{3,6},{1},{4},{5},{2}]=>[2,1,1,1,1]
[{2},{6},{4},{1},{3,5}]=>[{3,5},{1},{4},{6},{2}]=>[2,1,1,1,1]
[{2},{5},{6},{1},{3,4}]=>[{3,4},{1},{6},{5},{2}]=>[2,1,1,1,1]
[{2},{6},{5},{1},{3,4}]=>[{3,4},{1},{5},{6},{2}]=>[2,1,1,1,1]
[{3},{2},{4},{1},{5,6}]=>[{5,6},{1},{4},{2},{3}]=>[2,1,1,1,1]
[{3},{2},{5},{1},{4,6}]=>[{4,6},{1},{5},{2},{3}]=>[2,1,1,1,1]
[{3},{2},{6},{1},{4,5}]=>[{4,5},{1},{6},{2},{3}]=>[2,1,1,1,1]
[{4},{2},{3},{1},{5,6}]=>[{5,6},{1},{3},{2},{4}]=>[2,1,1,1,1]
[{5},{2},{3},{1},{4,6}]=>[{4,6},{1},{3},{2},{5}]=>[2,1,1,1,1]
[{6},{2},{3},{1},{4,5}]=>[{4,5},{1},{3},{2},{6}]=>[2,1,1,1,1]
[{4},{2},{5},{1},{3,6}]=>[{3,6},{1},{5},{2},{4}]=>[2,1,1,1,1]
[{4},{2},{6},{1},{3,5}]=>[{3,5},{1},{6},{2},{4}]=>[2,1,1,1,1]
[{5},{2},{4},{1},{3,6}]=>[{3,6},{1},{4},{2},{5}]=>[2,1,1,1,1]
[{6},{2},{4},{1},{3,5}]=>[{3,5},{1},{4},{2},{6}]=>[2,1,1,1,1]
[{5},{2},{6},{1},{3,4}]=>[{3,4},{1},{6},{2},{5}]=>[2,1,1,1,1]
[{6},{2},{5},{1},{3,4}]=>[{3,4},{1},{5},{2},{6}]=>[2,1,1,1,1]
[{3},{4},{2},{1},{5,6}]=>[{5,6},{1},{2},{4},{3}]=>[2,1,1,1,1]
[{3},{5},{2},{1},{4,6}]=>[{4,6},{1},{2},{5},{3}]=>[2,1,1,1,1]
[{3},{6},{2},{1},{4,5}]=>[{4,5},{1},{2},{6},{3}]=>[2,1,1,1,1]
[{4},{3},{2},{1},{5,6}]=>[{5,6},{1},{2},{3},{4}]=>[2,1,1,1,1]
[{5},{3},{2},{1},{4,6}]=>[{4,6},{1},{2},{3},{5}]=>[2,1,1,1,1]
[{6},{3},{2},{1},{4,5}]=>[{4,5},{1},{2},{3},{6}]=>[2,1,1,1,1]
[{4},{5},{2},{1},{3,6}]=>[{3,6},{1},{2},{5},{4}]=>[2,1,1,1,1]
[{4},{6},{2},{1},{3,5}]=>[{3,5},{1},{2},{6},{4}]=>[2,1,1,1,1]
[{5},{4},{2},{1},{3,6}]=>[{3,6},{1},{2},{4},{5}]=>[2,1,1,1,1]
[{6},{4},{2},{1},{3,5}]=>[{3,5},{1},{2},{4},{6}]=>[2,1,1,1,1]
[{5},{6},{2},{1},{3,4}]=>[{3,4},{1},{2},{6},{5}]=>[2,1,1,1,1]
[{6},{5},{2},{1},{3,4}]=>[{3,4},{1},{2},{5},{6}]=>[2,1,1,1,1]
[{3},{4},{5},{1},{2,6}]=>[{2,6},{1},{5},{4},{3}]=>[2,1,1,1,1]
[{3},{4},{6},{1},{2,5}]=>[{2,5},{1},{6},{4},{3}]=>[2,1,1,1,1]
[{3},{5},{4},{1},{2,6}]=>[{2,6},{1},{4},{5},{3}]=>[2,1,1,1,1]
[{3},{6},{4},{1},{2,5}]=>[{2,5},{1},{4},{6},{3}]=>[2,1,1,1,1]
[{3},{5},{6},{1},{2,4}]=>[{2,4},{1},{6},{5},{3}]=>[2,1,1,1,1]
[{3},{6},{5},{1},{2,4}]=>[{2,4},{1},{5},{6},{3}]=>[2,1,1,1,1]
[{4},{3},{5},{1},{2,6}]=>[{2,6},{1},{5},{3},{4}]=>[2,1,1,1,1]
[{4},{3},{6},{1},{2,5}]=>[{2,5},{1},{6},{3},{4}]=>[2,1,1,1,1]
[{5},{3},{4},{1},{2,6}]=>[{2,6},{1},{4},{3},{5}]=>[2,1,1,1,1]
[{6},{3},{4},{1},{2,5}]=>[{2,5},{1},{4},{3},{6}]=>[2,1,1,1,1]
[{5},{3},{6},{1},{2,4}]=>[{2,4},{1},{6},{3},{5}]=>[2,1,1,1,1]
[{6},{3},{5},{1},{2,4}]=>[{2,4},{1},{5},{3},{6}]=>[2,1,1,1,1]
[{4},{5},{3},{1},{2,6}]=>[{2,6},{1},{3},{5},{4}]=>[2,1,1,1,1]
[{4},{6},{3},{1},{2,5}]=>[{2,5},{1},{3},{6},{4}]=>[2,1,1,1,1]
[{5},{4},{3},{1},{2,6}]=>[{2,6},{1},{3},{4},{5}]=>[2,1,1,1,1]
[{6},{4},{3},{1},{2,5}]=>[{2,5},{1},{3},{4},{6}]=>[2,1,1,1,1]
[{5},{6},{3},{1},{2,4}]=>[{2,4},{1},{3},{6},{5}]=>[2,1,1,1,1]
[{6},{5},{3},{1},{2,4}]=>[{2,4},{1},{3},{5},{6}]=>[2,1,1,1,1]
[{4},{5},{6},{1},{2,3}]=>[{2,3},{1},{6},{5},{4}]=>[2,1,1,1,1]
[{4},{6},{5},{1},{2,3}]=>[{2,3},{1},{5},{6},{4}]=>[2,1,1,1,1]
[{5},{4},{6},{1},{2,3}]=>[{2,3},{1},{6},{4},{5}]=>[2,1,1,1,1]
[{6},{4},{5},{1},{2,3}]=>[{2,3},{1},{5},{4},{6}]=>[2,1,1,1,1]
[{5},{6},{4},{1},{2,3}]=>[{2,3},{1},{4},{6},{5}]=>[2,1,1,1,1]
[{6},{5},{4},{1},{2,3}]=>[{2,3},{1},{4},{5},{6}]=>[2,1,1,1,1]
[{2},{3},{4},{5},{1,6}]=>[{1,6},{5},{4},{3},{2}]=>[2,1,1,1,1]
[{2},{3},{4},{6},{1,5}]=>[{1,5},{6},{4},{3},{2}]=>[2,1,1,1,1]
[{2},{3},{5},{4},{1,6}]=>[{1,6},{4},{5},{3},{2}]=>[2,1,1,1,1]
[{2},{3},{6},{4},{1,5}]=>[{1,5},{4},{6},{3},{2}]=>[2,1,1,1,1]
[{2},{3},{5},{6},{1,4}]=>[{1,4},{6},{5},{3},{2}]=>[2,1,1,1,1]
[{2},{3},{6},{5},{1,4}]=>[{1,4},{5},{6},{3},{2}]=>[2,1,1,1,1]
[{2},{4},{3},{5},{1,6}]=>[{1,6},{5},{3},{4},{2}]=>[2,1,1,1,1]
[{2},{4},{3},{6},{1,5}]=>[{1,5},{6},{3},{4},{2}]=>[2,1,1,1,1]
[{2},{5},{3},{4},{1,6}]=>[{1,6},{4},{3},{5},{2}]=>[2,1,1,1,1]
[{2},{6},{3},{4},{1,5}]=>[{1,5},{4},{3},{6},{2}]=>[2,1,1,1,1]
[{2},{5},{3},{6},{1,4}]=>[{1,4},{6},{3},{5},{2}]=>[2,1,1,1,1]
[{2},{6},{3},{5},{1,4}]=>[{1,4},{5},{3},{6},{2}]=>[2,1,1,1,1]
[{2},{4},{5},{3},{1,6}]=>[{1,6},{3},{5},{4},{2}]=>[2,1,1,1,1]
[{2},{4},{6},{3},{1,5}]=>[{1,5},{3},{6},{4},{2}]=>[2,1,1,1,1]
[{2},{5},{4},{3},{1,6}]=>[{1,6},{3},{4},{5},{2}]=>[2,1,1,1,1]
[{2},{6},{4},{3},{1,5}]=>[{1,5},{3},{4},{6},{2}]=>[2,1,1,1,1]
[{2},{5},{6},{3},{1,4}]=>[{1,4},{3},{6},{5},{2}]=>[2,1,1,1,1]
[{2},{6},{5},{3},{1,4}]=>[{1,4},{3},{5},{6},{2}]=>[2,1,1,1,1]
[{2},{4},{5},{6},{1,3}]=>[{1,3},{6},{5},{4},{2}]=>[2,1,1,1,1]
[{2},{4},{6},{5},{1,3}]=>[{1,3},{5},{6},{4},{2}]=>[2,1,1,1,1]
[{2},{5},{4},{6},{1,3}]=>[{1,3},{6},{4},{5},{2}]=>[2,1,1,1,1]
[{2},{6},{4},{5},{1,3}]=>[{1,3},{5},{4},{6},{2}]=>[2,1,1,1,1]
[{2},{5},{6},{4},{1,3}]=>[{1,3},{4},{6},{5},{2}]=>[2,1,1,1,1]
[{2},{6},{5},{4},{1,3}]=>[{1,3},{4},{5},{6},{2}]=>[2,1,1,1,1]
[{3},{2},{4},{5},{1,6}]=>[{1,6},{5},{4},{2},{3}]=>[2,1,1,1,1]
[{3},{2},{4},{6},{1,5}]=>[{1,5},{6},{4},{2},{3}]=>[2,1,1,1,1]
[{3},{2},{5},{4},{1,6}]=>[{1,6},{4},{5},{2},{3}]=>[2,1,1,1,1]
[{3},{2},{6},{4},{1,5}]=>[{1,5},{4},{6},{2},{3}]=>[2,1,1,1,1]
[{3},{2},{5},{6},{1,4}]=>[{1,4},{6},{5},{2},{3}]=>[2,1,1,1,1]
[{3},{2},{6},{5},{1,4}]=>[{1,4},{5},{6},{2},{3}]=>[2,1,1,1,1]
[{4},{2},{3},{5},{1,6}]=>[{1,6},{5},{3},{2},{4}]=>[2,1,1,1,1]
[{4},{2},{3},{6},{1,5}]=>[{1,5},{6},{3},{2},{4}]=>[2,1,1,1,1]
[{5},{2},{3},{4},{1,6}]=>[{1,6},{4},{3},{2},{5}]=>[2,1,1,1,1]
[{6},{2},{3},{4},{1,5}]=>[{1,5},{4},{3},{2},{6}]=>[2,1,1,1,1]
[{5},{2},{3},{6},{1,4}]=>[{1,4},{6},{3},{2},{5}]=>[2,1,1,1,1]
[{6},{2},{3},{5},{1,4}]=>[{1,4},{5},{3},{2},{6}]=>[2,1,1,1,1]
[{4},{2},{5},{3},{1,6}]=>[{1,6},{3},{5},{2},{4}]=>[2,1,1,1,1]
[{4},{2},{6},{3},{1,5}]=>[{1,5},{3},{6},{2},{4}]=>[2,1,1,1,1]
[{5},{2},{4},{3},{1,6}]=>[{1,6},{3},{4},{2},{5}]=>[2,1,1,1,1]
[{6},{2},{4},{3},{1,5}]=>[{1,5},{3},{4},{2},{6}]=>[2,1,1,1,1]
[{5},{2},{6},{3},{1,4}]=>[{1,4},{3},{6},{2},{5}]=>[2,1,1,1,1]
[{6},{2},{5},{3},{1,4}]=>[{1,4},{3},{5},{2},{6}]=>[2,1,1,1,1]
[{4},{2},{5},{6},{1,3}]=>[{1,3},{6},{5},{2},{4}]=>[2,1,1,1,1]
[{4},{2},{6},{5},{1,3}]=>[{1,3},{5},{6},{2},{4}]=>[2,1,1,1,1]
[{5},{2},{4},{6},{1,3}]=>[{1,3},{6},{4},{2},{5}]=>[2,1,1,1,1]
[{6},{2},{4},{5},{1,3}]=>[{1,3},{5},{4},{2},{6}]=>[2,1,1,1,1]
[{5},{2},{6},{4},{1,3}]=>[{1,3},{4},{6},{2},{5}]=>[2,1,1,1,1]
[{6},{2},{5},{4},{1,3}]=>[{1,3},{4},{5},{2},{6}]=>[2,1,1,1,1]
[{3},{4},{2},{5},{1,6}]=>[{1,6},{5},{2},{4},{3}]=>[2,1,1,1,1]
[{3},{4},{2},{6},{1,5}]=>[{1,5},{6},{2},{4},{3}]=>[2,1,1,1,1]
[{3},{5},{2},{4},{1,6}]=>[{1,6},{4},{2},{5},{3}]=>[2,1,1,1,1]
[{3},{6},{2},{4},{1,5}]=>[{1,5},{4},{2},{6},{3}]=>[2,1,1,1,1]
[{3},{5},{2},{6},{1,4}]=>[{1,4},{6},{2},{5},{3}]=>[2,1,1,1,1]
[{3},{6},{2},{5},{1,4}]=>[{1,4},{5},{2},{6},{3}]=>[2,1,1,1,1]
[{4},{3},{2},{5},{1,6}]=>[{1,6},{5},{2},{3},{4}]=>[2,1,1,1,1]
[{4},{3},{2},{6},{1,5}]=>[{1,5},{6},{2},{3},{4}]=>[2,1,1,1,1]
[{5},{3},{2},{4},{1,6}]=>[{1,6},{4},{2},{3},{5}]=>[2,1,1,1,1]
[{6},{3},{2},{4},{1,5}]=>[{1,5},{4},{2},{3},{6}]=>[2,1,1,1,1]
[{5},{3},{2},{6},{1,4}]=>[{1,4},{6},{2},{3},{5}]=>[2,1,1,1,1]
[{6},{3},{2},{5},{1,4}]=>[{1,4},{5},{2},{3},{6}]=>[2,1,1,1,1]
[{4},{5},{2},{3},{1,6}]=>[{1,6},{3},{2},{5},{4}]=>[2,1,1,1,1]
[{4},{6},{2},{3},{1,5}]=>[{1,5},{3},{2},{6},{4}]=>[2,1,1,1,1]
[{5},{4},{2},{3},{1,6}]=>[{1,6},{3},{2},{4},{5}]=>[2,1,1,1,1]
[{6},{4},{2},{3},{1,5}]=>[{1,5},{3},{2},{4},{6}]=>[2,1,1,1,1]
[{5},{6},{2},{3},{1,4}]=>[{1,4},{3},{2},{6},{5}]=>[2,1,1,1,1]
[{6},{5},{2},{3},{1,4}]=>[{1,4},{3},{2},{5},{6}]=>[2,1,1,1,1]
[{4},{5},{2},{6},{1,3}]=>[{1,3},{6},{2},{5},{4}]=>[2,1,1,1,1]
[{4},{6},{2},{5},{1,3}]=>[{1,3},{5},{2},{6},{4}]=>[2,1,1,1,1]
[{5},{4},{2},{6},{1,3}]=>[{1,3},{6},{2},{4},{5}]=>[2,1,1,1,1]
[{6},{4},{2},{5},{1,3}]=>[{1,3},{5},{2},{4},{6}]=>[2,1,1,1,1]
[{5},{6},{2},{4},{1,3}]=>[{1,3},{4},{2},{6},{5}]=>[2,1,1,1,1]
[{6},{5},{2},{4},{1,3}]=>[{1,3},{4},{2},{5},{6}]=>[2,1,1,1,1]
[{3},{4},{5},{2},{1,6}]=>[{1,6},{2},{5},{4},{3}]=>[2,1,1,1,1]
[{3},{4},{6},{2},{1,5}]=>[{1,5},{2},{6},{4},{3}]=>[2,1,1,1,1]
[{3},{5},{4},{2},{1,6}]=>[{1,6},{2},{4},{5},{3}]=>[2,1,1,1,1]
[{3},{6},{4},{2},{1,5}]=>[{1,5},{2},{4},{6},{3}]=>[2,1,1,1,1]
[{3},{5},{6},{2},{1,4}]=>[{1,4},{2},{6},{5},{3}]=>[2,1,1,1,1]
[{3},{6},{5},{2},{1,4}]=>[{1,4},{2},{5},{6},{3}]=>[2,1,1,1,1]
[{4},{3},{5},{2},{1,6}]=>[{1,6},{2},{5},{3},{4}]=>[2,1,1,1,1]
[{4},{3},{6},{2},{1,5}]=>[{1,5},{2},{6},{3},{4}]=>[2,1,1,1,1]
[{5},{3},{4},{2},{1,6}]=>[{1,6},{2},{4},{3},{5}]=>[2,1,1,1,1]
[{6},{3},{4},{2},{1,5}]=>[{1,5},{2},{4},{3},{6}]=>[2,1,1,1,1]
[{5},{3},{6},{2},{1,4}]=>[{1,4},{2},{6},{3},{5}]=>[2,1,1,1,1]
[{6},{3},{5},{2},{1,4}]=>[{1,4},{2},{5},{3},{6}]=>[2,1,1,1,1]
[{4},{5},{3},{2},{1,6}]=>[{1,6},{2},{3},{5},{4}]=>[2,1,1,1,1]
[{4},{6},{3},{2},{1,5}]=>[{1,5},{2},{3},{6},{4}]=>[2,1,1,1,1]
[{5},{4},{3},{2},{1,6}]=>[{1,6},{2},{3},{4},{5}]=>[2,1,1,1,1]
[{6},{4},{3},{2},{1,5}]=>[{1,5},{2},{3},{4},{6}]=>[2,1,1,1,1]
[{5},{6},{3},{2},{1,4}]=>[{1,4},{2},{3},{6},{5}]=>[2,1,1,1,1]
[{6},{5},{3},{2},{1,4}]=>[{1,4},{2},{3},{5},{6}]=>[2,1,1,1,1]
[{4},{5},{6},{2},{1,3}]=>[{1,3},{2},{6},{5},{4}]=>[2,1,1,1,1]
[{4},{6},{5},{2},{1,3}]=>[{1,3},{2},{5},{6},{4}]=>[2,1,1,1,1]
[{5},{4},{6},{2},{1,3}]=>[{1,3},{2},{6},{4},{5}]=>[2,1,1,1,1]
[{6},{4},{5},{2},{1,3}]=>[{1,3},{2},{5},{4},{6}]=>[2,1,1,1,1]
[{5},{6},{4},{2},{1,3}]=>[{1,3},{2},{4},{6},{5}]=>[2,1,1,1,1]
[{6},{5},{4},{2},{1,3}]=>[{1,3},{2},{4},{5},{6}]=>[2,1,1,1,1]
[{3},{4},{5},{6},{1,2}]=>[{1,2},{6},{5},{4},{3}]=>[2,1,1,1,1]
[{3},{4},{6},{5},{1,2}]=>[{1,2},{5},{6},{4},{3}]=>[2,1,1,1,1]
[{3},{5},{4},{6},{1,2}]=>[{1,2},{6},{4},{5},{3}]=>[2,1,1,1,1]
[{3},{6},{4},{5},{1,2}]=>[{1,2},{5},{4},{6},{3}]=>[2,1,1,1,1]
[{3},{5},{6},{4},{1,2}]=>[{1,2},{4},{6},{5},{3}]=>[2,1,1,1,1]
[{3},{6},{5},{4},{1,2}]=>[{1,2},{4},{5},{6},{3}]=>[2,1,1,1,1]
[{4},{3},{5},{6},{1,2}]=>[{1,2},{6},{5},{3},{4}]=>[2,1,1,1,1]
[{4},{3},{6},{5},{1,2}]=>[{1,2},{5},{6},{3},{4}]=>[2,1,1,1,1]
[{5},{3},{4},{6},{1,2}]=>[{1,2},{6},{4},{3},{5}]=>[2,1,1,1,1]
[{6},{3},{4},{5},{1,2}]=>[{1,2},{5},{4},{3},{6}]=>[2,1,1,1,1]
[{5},{3},{6},{4},{1,2}]=>[{1,2},{4},{6},{3},{5}]=>[2,1,1,1,1]
[{6},{3},{5},{4},{1,2}]=>[{1,2},{4},{5},{3},{6}]=>[2,1,1,1,1]
[{4},{5},{3},{6},{1,2}]=>[{1,2},{6},{3},{5},{4}]=>[2,1,1,1,1]
[{4},{6},{3},{5},{1,2}]=>[{1,2},{5},{3},{6},{4}]=>[2,1,1,1,1]
[{5},{4},{3},{6},{1,2}]=>[{1,2},{6},{3},{4},{5}]=>[2,1,1,1,1]
[{6},{4},{3},{5},{1,2}]=>[{1,2},{5},{3},{4},{6}]=>[2,1,1,1,1]
[{5},{6},{3},{4},{1,2}]=>[{1,2},{4},{3},{6},{5}]=>[2,1,1,1,1]
[{6},{5},{3},{4},{1,2}]=>[{1,2},{4},{3},{5},{6}]=>[2,1,1,1,1]
[{4},{5},{6},{3},{1,2}]=>[{1,2},{3},{6},{5},{4}]=>[2,1,1,1,1]
[{4},{6},{5},{3},{1,2}]=>[{1,2},{3},{5},{6},{4}]=>[2,1,1,1,1]
[{5},{4},{6},{3},{1,2}]=>[{1,2},{3},{6},{4},{5}]=>[2,1,1,1,1]
[{6},{4},{5},{3},{1,2}]=>[{1,2},{3},{5},{4},{6}]=>[2,1,1,1,1]
[{5},{6},{4},{3},{1,2}]=>[{1,2},{3},{4},{6},{5}]=>[2,1,1,1,1]
[{6},{5},{4},{3},{1,2}]=>[{1,2},{3},{4},{5},{6}]=>[2,1,1,1,1]
[{1},{2},{3},{4,5},{6}]=>[{6},{4,5},{3},{2},{1}]=>[1,2,1,1,1]
[{1},{2},{3},{4,6},{5}]=>[{5},{4,6},{3},{2},{1}]=>[1,2,1,1,1]
[{1},{2},{3},{5,6},{4}]=>[{4},{5,6},{3},{2},{1}]=>[1,2,1,1,1]
[{1},{2},{4},{3,5},{6}]=>[{6},{3,5},{4},{2},{1}]=>[1,2,1,1,1]
[{1},{2},{4},{3,6},{5}]=>[{5},{3,6},{4},{2},{1}]=>[1,2,1,1,1]
[{1},{2},{5},{3,4},{6}]=>[{6},{3,4},{5},{2},{1}]=>[1,2,1,1,1]
[{1},{2},{6},{3,4},{5}]=>[{5},{3,4},{6},{2},{1}]=>[1,2,1,1,1]
[{1},{2},{5},{3,6},{4}]=>[{4},{3,6},{5},{2},{1}]=>[1,2,1,1,1]
[{1},{2},{6},{3,5},{4}]=>[{4},{3,5},{6},{2},{1}]=>[1,2,1,1,1]
[{1},{2},{4},{5,6},{3}]=>[{3},{5,6},{4},{2},{1}]=>[1,2,1,1,1]
[{1},{2},{5},{4,6},{3}]=>[{3},{4,6},{5},{2},{1}]=>[1,2,1,1,1]
[{1},{2},{6},{4,5},{3}]=>[{3},{4,5},{6},{2},{1}]=>[1,2,1,1,1]
[{1},{3},{2},{4,5},{6}]=>[{6},{4,5},{2},{3},{1}]=>[1,2,1,1,1]
[{1},{3},{2},{4,6},{5}]=>[{5},{4,6},{2},{3},{1}]=>[1,2,1,1,1]
[{1},{3},{2},{5,6},{4}]=>[{4},{5,6},{2},{3},{1}]=>[1,2,1,1,1]
[{1},{4},{2},{3,5},{6}]=>[{6},{3,5},{2},{4},{1}]=>[1,2,1,1,1]
[{1},{4},{2},{3,6},{5}]=>[{5},{3,6},{2},{4},{1}]=>[1,2,1,1,1]
[{1},{5},{2},{3,4},{6}]=>[{6},{3,4},{2},{5},{1}]=>[1,2,1,1,1]
[{1},{6},{2},{3,4},{5}]=>[{5},{3,4},{2},{6},{1}]=>[1,2,1,1,1]
[{1},{5},{2},{3,6},{4}]=>[{4},{3,6},{2},{5},{1}]=>[1,2,1,1,1]
[{1},{6},{2},{3,5},{4}]=>[{4},{3,5},{2},{6},{1}]=>[1,2,1,1,1]
[{1},{4},{2},{5,6},{3}]=>[{3},{5,6},{2},{4},{1}]=>[1,2,1,1,1]
[{1},{5},{2},{4,6},{3}]=>[{3},{4,6},{2},{5},{1}]=>[1,2,1,1,1]
[{1},{6},{2},{4,5},{3}]=>[{3},{4,5},{2},{6},{1}]=>[1,2,1,1,1]
[{1},{3},{4},{2,5},{6}]=>[{6},{2,5},{4},{3},{1}]=>[1,2,1,1,1]
[{1},{3},{4},{2,6},{5}]=>[{5},{2,6},{4},{3},{1}]=>[1,2,1,1,1]
[{1},{3},{5},{2,4},{6}]=>[{6},{2,4},{5},{3},{1}]=>[1,2,1,1,1]
[{1},{3},{6},{2,4},{5}]=>[{5},{2,4},{6},{3},{1}]=>[1,2,1,1,1]
[{1},{3},{5},{2,6},{4}]=>[{4},{2,6},{5},{3},{1}]=>[1,2,1,1,1]
[{1},{3},{6},{2,5},{4}]=>[{4},{2,5},{6},{3},{1}]=>[1,2,1,1,1]
[{1},{4},{3},{2,5},{6}]=>[{6},{2,5},{3},{4},{1}]=>[1,2,1,1,1]
[{1},{4},{3},{2,6},{5}]=>[{5},{2,6},{3},{4},{1}]=>[1,2,1,1,1]
[{1},{5},{3},{2,4},{6}]=>[{6},{2,4},{3},{5},{1}]=>[1,2,1,1,1]
[{1},{6},{3},{2,4},{5}]=>[{5},{2,4},{3},{6},{1}]=>[1,2,1,1,1]
[{1},{5},{3},{2,6},{4}]=>[{4},{2,6},{3},{5},{1}]=>[1,2,1,1,1]
[{1},{6},{3},{2,5},{4}]=>[{4},{2,5},{3},{6},{1}]=>[1,2,1,1,1]
[{1},{4},{5},{2,3},{6}]=>[{6},{2,3},{5},{4},{1}]=>[1,2,1,1,1]
[{1},{4},{6},{2,3},{5}]=>[{5},{2,3},{6},{4},{1}]=>[1,2,1,1,1]
[{1},{5},{4},{2,3},{6}]=>[{6},{2,3},{4},{5},{1}]=>[1,2,1,1,1]
[{1},{6},{4},{2,3},{5}]=>[{5},{2,3},{4},{6},{1}]=>[1,2,1,1,1]
[{1},{5},{6},{2,3},{4}]=>[{4},{2,3},{6},{5},{1}]=>[1,2,1,1,1]
[{1},{6},{5},{2,3},{4}]=>[{4},{2,3},{5},{6},{1}]=>[1,2,1,1,1]
[{1},{4},{5},{2,6},{3}]=>[{3},{2,6},{5},{4},{1}]=>[1,2,1,1,1]
[{1},{4},{6},{2,5},{3}]=>[{3},{2,5},{6},{4},{1}]=>[1,2,1,1,1]
[{1},{5},{4},{2,6},{3}]=>[{3},{2,6},{4},{5},{1}]=>[1,2,1,1,1]
[{1},{6},{4},{2,5},{3}]=>[{3},{2,5},{4},{6},{1}]=>[1,2,1,1,1]
[{1},{5},{6},{2,4},{3}]=>[{3},{2,4},{6},{5},{1}]=>[1,2,1,1,1]
[{1},{6},{5},{2,4},{3}]=>[{3},{2,4},{5},{6},{1}]=>[1,2,1,1,1]
[{1},{3},{4},{5,6},{2}]=>[{2},{5,6},{4},{3},{1}]=>[1,2,1,1,1]
[{1},{3},{5},{4,6},{2}]=>[{2},{4,6},{5},{3},{1}]=>[1,2,1,1,1]
[{1},{3},{6},{4,5},{2}]=>[{2},{4,5},{6},{3},{1}]=>[1,2,1,1,1]
[{1},{4},{3},{5,6},{2}]=>[{2},{5,6},{3},{4},{1}]=>[1,2,1,1,1]
[{1},{5},{3},{4,6},{2}]=>[{2},{4,6},{3},{5},{1}]=>[1,2,1,1,1]
[{1},{6},{3},{4,5},{2}]=>[{2},{4,5},{3},{6},{1}]=>[1,2,1,1,1]
[{1},{4},{5},{3,6},{2}]=>[{2},{3,6},{5},{4},{1}]=>[1,2,1,1,1]
[{1},{4},{6},{3,5},{2}]=>[{2},{3,5},{6},{4},{1}]=>[1,2,1,1,1]
[{1},{5},{4},{3,6},{2}]=>[{2},{3,6},{4},{5},{1}]=>[1,2,1,1,1]
[{1},{6},{4},{3,5},{2}]=>[{2},{3,5},{4},{6},{1}]=>[1,2,1,1,1]
[{1},{5},{6},{3,4},{2}]=>[{2},{3,4},{6},{5},{1}]=>[1,2,1,1,1]
[{1},{6},{5},{3,4},{2}]=>[{2},{3,4},{5},{6},{1}]=>[1,2,1,1,1]
[{2},{1},{3},{4,5},{6}]=>[{6},{4,5},{3},{1},{2}]=>[1,2,1,1,1]
[{2},{1},{3},{4,6},{5}]=>[{5},{4,6},{3},{1},{2}]=>[1,2,1,1,1]
[{2},{1},{3},{5,6},{4}]=>[{4},{5,6},{3},{1},{2}]=>[1,2,1,1,1]
[{2},{1},{4},{3,5},{6}]=>[{6},{3,5},{4},{1},{2}]=>[1,2,1,1,1]
[{2},{1},{4},{3,6},{5}]=>[{5},{3,6},{4},{1},{2}]=>[1,2,1,1,1]
[{2},{1},{5},{3,4},{6}]=>[{6},{3,4},{5},{1},{2}]=>[1,2,1,1,1]
[{2},{1},{6},{3,4},{5}]=>[{5},{3,4},{6},{1},{2}]=>[1,2,1,1,1]
[{2},{1},{5},{3,6},{4}]=>[{4},{3,6},{5},{1},{2}]=>[1,2,1,1,1]
[{2},{1},{6},{3,5},{4}]=>[{4},{3,5},{6},{1},{2}]=>[1,2,1,1,1]
[{2},{1},{4},{5,6},{3}]=>[{3},{5,6},{4},{1},{2}]=>[1,2,1,1,1]
[{2},{1},{5},{4,6},{3}]=>[{3},{4,6},{5},{1},{2}]=>[1,2,1,1,1]
[{2},{1},{6},{4,5},{3}]=>[{3},{4,5},{6},{1},{2}]=>[1,2,1,1,1]
[{3},{1},{2},{4,5},{6}]=>[{6},{4,5},{2},{1},{3}]=>[1,2,1,1,1]
[{3},{1},{2},{4,6},{5}]=>[{5},{4,6},{2},{1},{3}]=>[1,2,1,1,1]
[{3},{1},{2},{5,6},{4}]=>[{4},{5,6},{2},{1},{3}]=>[1,2,1,1,1]
[{4},{1},{2},{3,5},{6}]=>[{6},{3,5},{2},{1},{4}]=>[1,2,1,1,1]
[{4},{1},{2},{3,6},{5}]=>[{5},{3,6},{2},{1},{4}]=>[1,2,1,1,1]
[{5},{1},{2},{3,4},{6}]=>[{6},{3,4},{2},{1},{5}]=>[1,2,1,1,1]
[{6},{1},{2},{3,4},{5}]=>[{5},{3,4},{2},{1},{6}]=>[1,2,1,1,1]
[{5},{1},{2},{3,6},{4}]=>[{4},{3,6},{2},{1},{5}]=>[1,2,1,1,1]
[{6},{1},{2},{3,5},{4}]=>[{4},{3,5},{2},{1},{6}]=>[1,2,1,1,1]
[{4},{1},{2},{5,6},{3}]=>[{3},{5,6},{2},{1},{4}]=>[1,2,1,1,1]
[{5},{1},{2},{4,6},{3}]=>[{3},{4,6},{2},{1},{5}]=>[1,2,1,1,1]
[{6},{1},{2},{4,5},{3}]=>[{3},{4,5},{2},{1},{6}]=>[1,2,1,1,1]
[{3},{1},{4},{2,5},{6}]=>[{6},{2,5},{4},{1},{3}]=>[1,2,1,1,1]
[{3},{1},{4},{2,6},{5}]=>[{5},{2,6},{4},{1},{3}]=>[1,2,1,1,1]
[{3},{1},{5},{2,4},{6}]=>[{6},{2,4},{5},{1},{3}]=>[1,2,1,1,1]
[{3},{1},{6},{2,4},{5}]=>[{5},{2,4},{6},{1},{3}]=>[1,2,1,1,1]
[{3},{1},{5},{2,6},{4}]=>[{4},{2,6},{5},{1},{3}]=>[1,2,1,1,1]
[{3},{1},{6},{2,5},{4}]=>[{4},{2,5},{6},{1},{3}]=>[1,2,1,1,1]
[{4},{1},{3},{2,5},{6}]=>[{6},{2,5},{3},{1},{4}]=>[1,2,1,1,1]
[{4},{1},{3},{2,6},{5}]=>[{5},{2,6},{3},{1},{4}]=>[1,2,1,1,1]
[{5},{1},{3},{2,4},{6}]=>[{6},{2,4},{3},{1},{5}]=>[1,2,1,1,1]
[{6},{1},{3},{2,4},{5}]=>[{5},{2,4},{3},{1},{6}]=>[1,2,1,1,1]
[{5},{1},{3},{2,6},{4}]=>[{4},{2,6},{3},{1},{5}]=>[1,2,1,1,1]
[{6},{1},{3},{2,5},{4}]=>[{4},{2,5},{3},{1},{6}]=>[1,2,1,1,1]
[{4},{1},{5},{2,3},{6}]=>[{6},{2,3},{5},{1},{4}]=>[1,2,1,1,1]
[{4},{1},{6},{2,3},{5}]=>[{5},{2,3},{6},{1},{4}]=>[1,2,1,1,1]
[{5},{1},{4},{2,3},{6}]=>[{6},{2,3},{4},{1},{5}]=>[1,2,1,1,1]
[{6},{1},{4},{2,3},{5}]=>[{5},{2,3},{4},{1},{6}]=>[1,2,1,1,1]
[{5},{1},{6},{2,3},{4}]=>[{4},{2,3},{6},{1},{5}]=>[1,2,1,1,1]
[{6},{1},{5},{2,3},{4}]=>[{4},{2,3},{5},{1},{6}]=>[1,2,1,1,1]
[{4},{1},{5},{2,6},{3}]=>[{3},{2,6},{5},{1},{4}]=>[1,2,1,1,1]
[{4},{1},{6},{2,5},{3}]=>[{3},{2,5},{6},{1},{4}]=>[1,2,1,1,1]
[{5},{1},{4},{2,6},{3}]=>[{3},{2,6},{4},{1},{5}]=>[1,2,1,1,1]
[{6},{1},{4},{2,5},{3}]=>[{3},{2,5},{4},{1},{6}]=>[1,2,1,1,1]
[{5},{1},{6},{2,4},{3}]=>[{3},{2,4},{6},{1},{5}]=>[1,2,1,1,1]
[{6},{1},{5},{2,4},{3}]=>[{3},{2,4},{5},{1},{6}]=>[1,2,1,1,1]
[{3},{1},{4},{5,6},{2}]=>[{2},{5,6},{4},{1},{3}]=>[1,2,1,1,1]
[{3},{1},{5},{4,6},{2}]=>[{2},{4,6},{5},{1},{3}]=>[1,2,1,1,1]
[{3},{1},{6},{4,5},{2}]=>[{2},{4,5},{6},{1},{3}]=>[1,2,1,1,1]
[{4},{1},{3},{5,6},{2}]=>[{2},{5,6},{3},{1},{4}]=>[1,2,1,1,1]
[{5},{1},{3},{4,6},{2}]=>[{2},{4,6},{3},{1},{5}]=>[1,2,1,1,1]
[{6},{1},{3},{4,5},{2}]=>[{2},{4,5},{3},{1},{6}]=>[1,2,1,1,1]
[{4},{1},{5},{3,6},{2}]=>[{2},{3,6},{5},{1},{4}]=>[1,2,1,1,1]
[{4},{1},{6},{3,5},{2}]=>[{2},{3,5},{6},{1},{4}]=>[1,2,1,1,1]
[{5},{1},{4},{3,6},{2}]=>[{2},{3,6},{4},{1},{5}]=>[1,2,1,1,1]
[{6},{1},{4},{3,5},{2}]=>[{2},{3,5},{4},{1},{6}]=>[1,2,1,1,1]
[{5},{1},{6},{3,4},{2}]=>[{2},{3,4},{6},{1},{5}]=>[1,2,1,1,1]
[{6},{1},{5},{3,4},{2}]=>[{2},{3,4},{5},{1},{6}]=>[1,2,1,1,1]
[{2},{3},{1},{4,5},{6}]=>[{6},{4,5},{1},{3},{2}]=>[1,2,1,1,1]
[{2},{3},{1},{4,6},{5}]=>[{5},{4,6},{1},{3},{2}]=>[1,2,1,1,1]
[{2},{3},{1},{5,6},{4}]=>[{4},{5,6},{1},{3},{2}]=>[1,2,1,1,1]
[{2},{4},{1},{3,5},{6}]=>[{6},{3,5},{1},{4},{2}]=>[1,2,1,1,1]
[{2},{4},{1},{3,6},{5}]=>[{5},{3,6},{1},{4},{2}]=>[1,2,1,1,1]
[{2},{5},{1},{3,4},{6}]=>[{6},{3,4},{1},{5},{2}]=>[1,2,1,1,1]
[{2},{6},{1},{3,4},{5}]=>[{5},{3,4},{1},{6},{2}]=>[1,2,1,1,1]
[{2},{5},{1},{3,6},{4}]=>[{4},{3,6},{1},{5},{2}]=>[1,2,1,1,1]
[{2},{6},{1},{3,5},{4}]=>[{4},{3,5},{1},{6},{2}]=>[1,2,1,1,1]
[{2},{4},{1},{5,6},{3}]=>[{3},{5,6},{1},{4},{2}]=>[1,2,1,1,1]
[{2},{5},{1},{4,6},{3}]=>[{3},{4,6},{1},{5},{2}]=>[1,2,1,1,1]
[{2},{6},{1},{4,5},{3}]=>[{3},{4,5},{1},{6},{2}]=>[1,2,1,1,1]
[{3},{2},{1},{4,5},{6}]=>[{6},{4,5},{1},{2},{3}]=>[1,2,1,1,1]
[{3},{2},{1},{4,6},{5}]=>[{5},{4,6},{1},{2},{3}]=>[1,2,1,1,1]
[{3},{2},{1},{5,6},{4}]=>[{4},{5,6},{1},{2},{3}]=>[1,2,1,1,1]
[{4},{2},{1},{3,5},{6}]=>[{6},{3,5},{1},{2},{4}]=>[1,2,1,1,1]
[{4},{2},{1},{3,6},{5}]=>[{5},{3,6},{1},{2},{4}]=>[1,2,1,1,1]
[{5},{2},{1},{3,4},{6}]=>[{6},{3,4},{1},{2},{5}]=>[1,2,1,1,1]
[{6},{2},{1},{3,4},{5}]=>[{5},{3,4},{1},{2},{6}]=>[1,2,1,1,1]
[{5},{2},{1},{3,6},{4}]=>[{4},{3,6},{1},{2},{5}]=>[1,2,1,1,1]
[{6},{2},{1},{3,5},{4}]=>[{4},{3,5},{1},{2},{6}]=>[1,2,1,1,1]
[{4},{2},{1},{5,6},{3}]=>[{3},{5,6},{1},{2},{4}]=>[1,2,1,1,1]
[{5},{2},{1},{4,6},{3}]=>[{3},{4,6},{1},{2},{5}]=>[1,2,1,1,1]
[{6},{2},{1},{4,5},{3}]=>[{3},{4,5},{1},{2},{6}]=>[1,2,1,1,1]
[{3},{4},{1},{2,5},{6}]=>[{6},{2,5},{1},{4},{3}]=>[1,2,1,1,1]
[{3},{4},{1},{2,6},{5}]=>[{5},{2,6},{1},{4},{3}]=>[1,2,1,1,1]
[{3},{5},{1},{2,4},{6}]=>[{6},{2,4},{1},{5},{3}]=>[1,2,1,1,1]
[{3},{6},{1},{2,4},{5}]=>[{5},{2,4},{1},{6},{3}]=>[1,2,1,1,1]
[{3},{5},{1},{2,6},{4}]=>[{4},{2,6},{1},{5},{3}]=>[1,2,1,1,1]
[{3},{6},{1},{2,5},{4}]=>[{4},{2,5},{1},{6},{3}]=>[1,2,1,1,1]
[{4},{3},{1},{2,5},{6}]=>[{6},{2,5},{1},{3},{4}]=>[1,2,1,1,1]
[{4},{3},{1},{2,6},{5}]=>[{5},{2,6},{1},{3},{4}]=>[1,2,1,1,1]
[{5},{3},{1},{2,4},{6}]=>[{6},{2,4},{1},{3},{5}]=>[1,2,1,1,1]
[{6},{3},{1},{2,4},{5}]=>[{5},{2,4},{1},{3},{6}]=>[1,2,1,1,1]
[{5},{3},{1},{2,6},{4}]=>[{4},{2,6},{1},{3},{5}]=>[1,2,1,1,1]
[{6},{3},{1},{2,5},{4}]=>[{4},{2,5},{1},{3},{6}]=>[1,2,1,1,1]
[{4},{5},{1},{2,3},{6}]=>[{6},{2,3},{1},{5},{4}]=>[1,2,1,1,1]
[{4},{6},{1},{2,3},{5}]=>[{5},{2,3},{1},{6},{4}]=>[1,2,1,1,1]
[{5},{4},{1},{2,3},{6}]=>[{6},{2,3},{1},{4},{5}]=>[1,2,1,1,1]
[{6},{4},{1},{2,3},{5}]=>[{5},{2,3},{1},{4},{6}]=>[1,2,1,1,1]
[{5},{6},{1},{2,3},{4}]=>[{4},{2,3},{1},{6},{5}]=>[1,2,1,1,1]
[{6},{5},{1},{2,3},{4}]=>[{4},{2,3},{1},{5},{6}]=>[1,2,1,1,1]
[{4},{5},{1},{2,6},{3}]=>[{3},{2,6},{1},{5},{4}]=>[1,2,1,1,1]
[{4},{6},{1},{2,5},{3}]=>[{3},{2,5},{1},{6},{4}]=>[1,2,1,1,1]
[{5},{4},{1},{2,6},{3}]=>[{3},{2,6},{1},{4},{5}]=>[1,2,1,1,1]
[{6},{4},{1},{2,5},{3}]=>[{3},{2,5},{1},{4},{6}]=>[1,2,1,1,1]
[{5},{6},{1},{2,4},{3}]=>[{3},{2,4},{1},{6},{5}]=>[1,2,1,1,1]
[{6},{5},{1},{2,4},{3}]=>[{3},{2,4},{1},{5},{6}]=>[1,2,1,1,1]
[{3},{4},{1},{5,6},{2}]=>[{2},{5,6},{1},{4},{3}]=>[1,2,1,1,1]
[{3},{5},{1},{4,6},{2}]=>[{2},{4,6},{1},{5},{3}]=>[1,2,1,1,1]
[{3},{6},{1},{4,5},{2}]=>[{2},{4,5},{1},{6},{3}]=>[1,2,1,1,1]
[{4},{3},{1},{5,6},{2}]=>[{2},{5,6},{1},{3},{4}]=>[1,2,1,1,1]
[{5},{3},{1},{4,6},{2}]=>[{2},{4,6},{1},{3},{5}]=>[1,2,1,1,1]
[{6},{3},{1},{4,5},{2}]=>[{2},{4,5},{1},{3},{6}]=>[1,2,1,1,1]
[{4},{5},{1},{3,6},{2}]=>[{2},{3,6},{1},{5},{4}]=>[1,2,1,1,1]
[{4},{6},{1},{3,5},{2}]=>[{2},{3,5},{1},{6},{4}]=>[1,2,1,1,1]
[{5},{4},{1},{3,6},{2}]=>[{2},{3,6},{1},{4},{5}]=>[1,2,1,1,1]
[{6},{4},{1},{3,5},{2}]=>[{2},{3,5},{1},{4},{6}]=>[1,2,1,1,1]
[{5},{6},{1},{3,4},{2}]=>[{2},{3,4},{1},{6},{5}]=>[1,2,1,1,1]
[{6},{5},{1},{3,4},{2}]=>[{2},{3,4},{1},{5},{6}]=>[1,2,1,1,1]
[{2},{3},{4},{1,5},{6}]=>[{6},{1,5},{4},{3},{2}]=>[1,2,1,1,1]
[{2},{3},{4},{1,6},{5}]=>[{5},{1,6},{4},{3},{2}]=>[1,2,1,1,1]
[{2},{3},{5},{1,4},{6}]=>[{6},{1,4},{5},{3},{2}]=>[1,2,1,1,1]
[{2},{3},{6},{1,4},{5}]=>[{5},{1,4},{6},{3},{2}]=>[1,2,1,1,1]
[{2},{3},{5},{1,6},{4}]=>[{4},{1,6},{5},{3},{2}]=>[1,2,1,1,1]
[{2},{3},{6},{1,5},{4}]=>[{4},{1,5},{6},{3},{2}]=>[1,2,1,1,1]
[{2},{4},{3},{1,5},{6}]=>[{6},{1,5},{3},{4},{2}]=>[1,2,1,1,1]
[{2},{4},{3},{1,6},{5}]=>[{5},{1,6},{3},{4},{2}]=>[1,2,1,1,1]
[{2},{5},{3},{1,4},{6}]=>[{6},{1,4},{3},{5},{2}]=>[1,2,1,1,1]
[{2},{6},{3},{1,4},{5}]=>[{5},{1,4},{3},{6},{2}]=>[1,2,1,1,1]
[{2},{5},{3},{1,6},{4}]=>[{4},{1,6},{3},{5},{2}]=>[1,2,1,1,1]
[{2},{6},{3},{1,5},{4}]=>[{4},{1,5},{3},{6},{2}]=>[1,2,1,1,1]
[{2},{4},{5},{1,3},{6}]=>[{6},{1,3},{5},{4},{2}]=>[1,2,1,1,1]
[{2},{4},{6},{1,3},{5}]=>[{5},{1,3},{6},{4},{2}]=>[1,2,1,1,1]
[{2},{5},{4},{1,3},{6}]=>[{6},{1,3},{4},{5},{2}]=>[1,2,1,1,1]
[{2},{6},{4},{1,3},{5}]=>[{5},{1,3},{4},{6},{2}]=>[1,2,1,1,1]
[{2},{5},{6},{1,3},{4}]=>[{4},{1,3},{6},{5},{2}]=>[1,2,1,1,1]
[{2},{6},{5},{1,3},{4}]=>[{4},{1,3},{5},{6},{2}]=>[1,2,1,1,1]
[{2},{4},{5},{1,6},{3}]=>[{3},{1,6},{5},{4},{2}]=>[1,2,1,1,1]
[{2},{4},{6},{1,5},{3}]=>[{3},{1,5},{6},{4},{2}]=>[1,2,1,1,1]
[{2},{5},{4},{1,6},{3}]=>[{3},{1,6},{4},{5},{2}]=>[1,2,1,1,1]
[{2},{6},{4},{1,5},{3}]=>[{3},{1,5},{4},{6},{2}]=>[1,2,1,1,1]
[{2},{5},{6},{1,4},{3}]=>[{3},{1,4},{6},{5},{2}]=>[1,2,1,1,1]
[{2},{6},{5},{1,4},{3}]=>[{3},{1,4},{5},{6},{2}]=>[1,2,1,1,1]
[{3},{2},{4},{1,5},{6}]=>[{6},{1,5},{4},{2},{3}]=>[1,2,1,1,1]
[{3},{2},{4},{1,6},{5}]=>[{5},{1,6},{4},{2},{3}]=>[1,2,1,1,1]
[{3},{2},{5},{1,4},{6}]=>[{6},{1,4},{5},{2},{3}]=>[1,2,1,1,1]
[{3},{2},{6},{1,4},{5}]=>[{5},{1,4},{6},{2},{3}]=>[1,2,1,1,1]
[{3},{2},{5},{1,6},{4}]=>[{4},{1,6},{5},{2},{3}]=>[1,2,1,1,1]
[{3},{2},{6},{1,5},{4}]=>[{4},{1,5},{6},{2},{3}]=>[1,2,1,1,1]
[{4},{2},{3},{1,5},{6}]=>[{6},{1,5},{3},{2},{4}]=>[1,2,1,1,1]
[{4},{2},{3},{1,6},{5}]=>[{5},{1,6},{3},{2},{4}]=>[1,2,1,1,1]
[{5},{2},{3},{1,4},{6}]=>[{6},{1,4},{3},{2},{5}]=>[1,2,1,1,1]
[{6},{2},{3},{1,4},{5}]=>[{5},{1,4},{3},{2},{6}]=>[1,2,1,1,1]
[{5},{2},{3},{1,6},{4}]=>[{4},{1,6},{3},{2},{5}]=>[1,2,1,1,1]
[{6},{2},{3},{1,5},{4}]=>[{4},{1,5},{3},{2},{6}]=>[1,2,1,1,1]
[{4},{2},{5},{1,3},{6}]=>[{6},{1,3},{5},{2},{4}]=>[1,2,1,1,1]
[{4},{2},{6},{1,3},{5}]=>[{5},{1,3},{6},{2},{4}]=>[1,2,1,1,1]
[{5},{2},{4},{1,3},{6}]=>[{6},{1,3},{4},{2},{5}]=>[1,2,1,1,1]
[{6},{2},{4},{1,3},{5}]=>[{5},{1,3},{4},{2},{6}]=>[1,2,1,1,1]
[{5},{2},{6},{1,3},{4}]=>[{4},{1,3},{6},{2},{5}]=>[1,2,1,1,1]
[{6},{2},{5},{1,3},{4}]=>[{4},{1,3},{5},{2},{6}]=>[1,2,1,1,1]
[{4},{2},{5},{1,6},{3}]=>[{3},{1,6},{5},{2},{4}]=>[1,2,1,1,1]
[{4},{2},{6},{1,5},{3}]=>[{3},{1,5},{6},{2},{4}]=>[1,2,1,1,1]
[{5},{2},{4},{1,6},{3}]=>[{3},{1,6},{4},{2},{5}]=>[1,2,1,1,1]
[{6},{2},{4},{1,5},{3}]=>[{3},{1,5},{4},{2},{6}]=>[1,2,1,1,1]
[{5},{2},{6},{1,4},{3}]=>[{3},{1,4},{6},{2},{5}]=>[1,2,1,1,1]
[{6},{2},{5},{1,4},{3}]=>[{3},{1,4},{5},{2},{6}]=>[1,2,1,1,1]
[{3},{4},{2},{1,5},{6}]=>[{6},{1,5},{2},{4},{3}]=>[1,2,1,1,1]
[{3},{4},{2},{1,6},{5}]=>[{5},{1,6},{2},{4},{3}]=>[1,2,1,1,1]
[{3},{5},{2},{1,4},{6}]=>[{6},{1,4},{2},{5},{3}]=>[1,2,1,1,1]
[{3},{6},{2},{1,4},{5}]=>[{5},{1,4},{2},{6},{3}]=>[1,2,1,1,1]
[{3},{5},{2},{1,6},{4}]=>[{4},{1,6},{2},{5},{3}]=>[1,2,1,1,1]
[{3},{6},{2},{1,5},{4}]=>[{4},{1,5},{2},{6},{3}]=>[1,2,1,1,1]
[{4},{3},{2},{1,5},{6}]=>[{6},{1,5},{2},{3},{4}]=>[1,2,1,1,1]
[{4},{3},{2},{1,6},{5}]=>[{5},{1,6},{2},{3},{4}]=>[1,2,1,1,1]
[{5},{3},{2},{1,4},{6}]=>[{6},{1,4},{2},{3},{5}]=>[1,2,1,1,1]
[{6},{3},{2},{1,4},{5}]=>[{5},{1,4},{2},{3},{6}]=>[1,2,1,1,1]
[{5},{3},{2},{1,6},{4}]=>[{4},{1,6},{2},{3},{5}]=>[1,2,1,1,1]
[{6},{3},{2},{1,5},{4}]=>[{4},{1,5},{2},{3},{6}]=>[1,2,1,1,1]
[{4},{5},{2},{1,3},{6}]=>[{6},{1,3},{2},{5},{4}]=>[1,2,1,1,1]
[{4},{6},{2},{1,3},{5}]=>[{5},{1,3},{2},{6},{4}]=>[1,2,1,1,1]
[{5},{4},{2},{1,3},{6}]=>[{6},{1,3},{2},{4},{5}]=>[1,2,1,1,1]
[{6},{4},{2},{1,3},{5}]=>[{5},{1,3},{2},{4},{6}]=>[1,2,1,1,1]
[{5},{6},{2},{1,3},{4}]=>[{4},{1,3},{2},{6},{5}]=>[1,2,1,1,1]
[{6},{5},{2},{1,3},{4}]=>[{4},{1,3},{2},{5},{6}]=>[1,2,1,1,1]
[{4},{5},{2},{1,6},{3}]=>[{3},{1,6},{2},{5},{4}]=>[1,2,1,1,1]
[{4},{6},{2},{1,5},{3}]=>[{3},{1,5},{2},{6},{4}]=>[1,2,1,1,1]
[{5},{4},{2},{1,6},{3}]=>[{3},{1,6},{2},{4},{5}]=>[1,2,1,1,1]
[{6},{4},{2},{1,5},{3}]=>[{3},{1,5},{2},{4},{6}]=>[1,2,1,1,1]
[{5},{6},{2},{1,4},{3}]=>[{3},{1,4},{2},{6},{5}]=>[1,2,1,1,1]
[{6},{5},{2},{1,4},{3}]=>[{3},{1,4},{2},{5},{6}]=>[1,2,1,1,1]
[{3},{4},{5},{1,2},{6}]=>[{6},{1,2},{5},{4},{3}]=>[1,2,1,1,1]
[{3},{4},{6},{1,2},{5}]=>[{5},{1,2},{6},{4},{3}]=>[1,2,1,1,1]
[{3},{5},{4},{1,2},{6}]=>[{6},{1,2},{4},{5},{3}]=>[1,2,1,1,1]
[{3},{6},{4},{1,2},{5}]=>[{5},{1,2},{4},{6},{3}]=>[1,2,1,1,1]
[{3},{5},{6},{1,2},{4}]=>[{4},{1,2},{6},{5},{3}]=>[1,2,1,1,1]
[{3},{6},{5},{1,2},{4}]=>[{4},{1,2},{5},{6},{3}]=>[1,2,1,1,1]
[{4},{3},{5},{1,2},{6}]=>[{6},{1,2},{5},{3},{4}]=>[1,2,1,1,1]
[{4},{3},{6},{1,2},{5}]=>[{5},{1,2},{6},{3},{4}]=>[1,2,1,1,1]
[{5},{3},{4},{1,2},{6}]=>[{6},{1,2},{4},{3},{5}]=>[1,2,1,1,1]
[{6},{3},{4},{1,2},{5}]=>[{5},{1,2},{4},{3},{6}]=>[1,2,1,1,1]
[{5},{3},{6},{1,2},{4}]=>[{4},{1,2},{6},{3},{5}]=>[1,2,1,1,1]
[{6},{3},{5},{1,2},{4}]=>[{4},{1,2},{5},{3},{6}]=>[1,2,1,1,1]
[{4},{5},{3},{1,2},{6}]=>[{6},{1,2},{3},{5},{4}]=>[1,2,1,1,1]
[{4},{6},{3},{1,2},{5}]=>[{5},{1,2},{3},{6},{4}]=>[1,2,1,1,1]
[{5},{4},{3},{1,2},{6}]=>[{6},{1,2},{3},{4},{5}]=>[1,2,1,1,1]
[{6},{4},{3},{1,2},{5}]=>[{5},{1,2},{3},{4},{6}]=>[1,2,1,1,1]
[{5},{6},{3},{1,2},{4}]=>[{4},{1,2},{3},{6},{5}]=>[1,2,1,1,1]
[{6},{5},{3},{1,2},{4}]=>[{4},{1,2},{3},{5},{6}]=>[1,2,1,1,1]
[{4},{5},{6},{1,2},{3}]=>[{3},{1,2},{6},{5},{4}]=>[1,2,1,1,1]
[{4},{6},{5},{1,2},{3}]=>[{3},{1,2},{5},{6},{4}]=>[1,2,1,1,1]
[{5},{4},{6},{1,2},{3}]=>[{3},{1,2},{6},{4},{5}]=>[1,2,1,1,1]
[{6},{4},{5},{1,2},{3}]=>[{3},{1,2},{5},{4},{6}]=>[1,2,1,1,1]
[{5},{6},{4},{1,2},{3}]=>[{3},{1,2},{4},{6},{5}]=>[1,2,1,1,1]
[{6},{5},{4},{1,2},{3}]=>[{3},{1,2},{4},{5},{6}]=>[1,2,1,1,1]
[{3},{4},{5},{1,6},{2}]=>[{2},{1,6},{5},{4},{3}]=>[1,2,1,1,1]
[{3},{4},{6},{1,5},{2}]=>[{2},{1,5},{6},{4},{3}]=>[1,2,1,1,1]
[{3},{5},{4},{1,6},{2}]=>[{2},{1,6},{4},{5},{3}]=>[1,2,1,1,1]
[{3},{6},{4},{1,5},{2}]=>[{2},{1,5},{4},{6},{3}]=>[1,2,1,1,1]
[{3},{5},{6},{1,4},{2}]=>[{2},{1,4},{6},{5},{3}]=>[1,2,1,1,1]
[{3},{6},{5},{1,4},{2}]=>[{2},{1,4},{5},{6},{3}]=>[1,2,1,1,1]
[{4},{3},{5},{1,6},{2}]=>[{2},{1,6},{5},{3},{4}]=>[1,2,1,1,1]
[{4},{3},{6},{1,5},{2}]=>[{2},{1,5},{6},{3},{4}]=>[1,2,1,1,1]
[{5},{3},{4},{1,6},{2}]=>[{2},{1,6},{4},{3},{5}]=>[1,2,1,1,1]
[{6},{3},{4},{1,5},{2}]=>[{2},{1,5},{4},{3},{6}]=>[1,2,1,1,1]
[{5},{3},{6},{1,4},{2}]=>[{2},{1,4},{6},{3},{5}]=>[1,2,1,1,1]
[{6},{3},{5},{1,4},{2}]=>[{2},{1,4},{5},{3},{6}]=>[1,2,1,1,1]
[{4},{5},{3},{1,6},{2}]=>[{2},{1,6},{3},{5},{4}]=>[1,2,1,1,1]
[{4},{6},{3},{1,5},{2}]=>[{2},{1,5},{3},{6},{4}]=>[1,2,1,1,1]
[{5},{4},{3},{1,6},{2}]=>[{2},{1,6},{3},{4},{5}]=>[1,2,1,1,1]
[{6},{4},{3},{1,5},{2}]=>[{2},{1,5},{3},{4},{6}]=>[1,2,1,1,1]
[{5},{6},{3},{1,4},{2}]=>[{2},{1,4},{3},{6},{5}]=>[1,2,1,1,1]
[{6},{5},{3},{1,4},{2}]=>[{2},{1,4},{3},{5},{6}]=>[1,2,1,1,1]
[{4},{5},{6},{1,3},{2}]=>[{2},{1,3},{6},{5},{4}]=>[1,2,1,1,1]
[{4},{6},{5},{1,3},{2}]=>[{2},{1,3},{5},{6},{4}]=>[1,2,1,1,1]
[{5},{4},{6},{1,3},{2}]=>[{2},{1,3},{6},{4},{5}]=>[1,2,1,1,1]
[{6},{4},{5},{1,3},{2}]=>[{2},{1,3},{5},{4},{6}]=>[1,2,1,1,1]
[{5},{6},{4},{1,3},{2}]=>[{2},{1,3},{4},{6},{5}]=>[1,2,1,1,1]
[{6},{5},{4},{1,3},{2}]=>[{2},{1,3},{4},{5},{6}]=>[1,2,1,1,1]
[{2},{3},{4},{5,6},{1}]=>[{1},{5,6},{4},{3},{2}]=>[1,2,1,1,1]
[{2},{3},{5},{4,6},{1}]=>[{1},{4,6},{5},{3},{2}]=>[1,2,1,1,1]
[{2},{3},{6},{4,5},{1}]=>[{1},{4,5},{6},{3},{2}]=>[1,2,1,1,1]
[{2},{4},{3},{5,6},{1}]=>[{1},{5,6},{3},{4},{2}]=>[1,2,1,1,1]
[{2},{5},{3},{4,6},{1}]=>[{1},{4,6},{3},{5},{2}]=>[1,2,1,1,1]
[{2},{6},{3},{4,5},{1}]=>[{1},{4,5},{3},{6},{2}]=>[1,2,1,1,1]
[{2},{4},{5},{3,6},{1}]=>[{1},{3,6},{5},{4},{2}]=>[1,2,1,1,1]
[{2},{4},{6},{3,5},{1}]=>[{1},{3,5},{6},{4},{2}]=>[1,2,1,1,1]
[{2},{5},{4},{3,6},{1}]=>[{1},{3,6},{4},{5},{2}]=>[1,2,1,1,1]
[{2},{6},{4},{3,5},{1}]=>[{1},{3,5},{4},{6},{2}]=>[1,2,1,1,1]
[{2},{5},{6},{3,4},{1}]=>[{1},{3,4},{6},{5},{2}]=>[1,2,1,1,1]
[{2},{6},{5},{3,4},{1}]=>[{1},{3,4},{5},{6},{2}]=>[1,2,1,1,1]
[{3},{2},{4},{5,6},{1}]=>[{1},{5,6},{4},{2},{3}]=>[1,2,1,1,1]
[{3},{2},{5},{4,6},{1}]=>[{1},{4,6},{5},{2},{3}]=>[1,2,1,1,1]
[{3},{2},{6},{4,5},{1}]=>[{1},{4,5},{6},{2},{3}]=>[1,2,1,1,1]
[{4},{2},{3},{5,6},{1}]=>[{1},{5,6},{3},{2},{4}]=>[1,2,1,1,1]
[{5},{2},{3},{4,6},{1}]=>[{1},{4,6},{3},{2},{5}]=>[1,2,1,1,1]
[{6},{2},{3},{4,5},{1}]=>[{1},{4,5},{3},{2},{6}]=>[1,2,1,1,1]
[{4},{2},{5},{3,6},{1}]=>[{1},{3,6},{5},{2},{4}]=>[1,2,1,1,1]
[{4},{2},{6},{3,5},{1}]=>[{1},{3,5},{6},{2},{4}]=>[1,2,1,1,1]
[{5},{2},{4},{3,6},{1}]=>[{1},{3,6},{4},{2},{5}]=>[1,2,1,1,1]
[{6},{2},{4},{3,5},{1}]=>[{1},{3,5},{4},{2},{6}]=>[1,2,1,1,1]
[{5},{2},{6},{3,4},{1}]=>[{1},{3,4},{6},{2},{5}]=>[1,2,1,1,1]
[{6},{2},{5},{3,4},{1}]=>[{1},{3,4},{5},{2},{6}]=>[1,2,1,1,1]
[{3},{4},{2},{5,6},{1}]=>[{1},{5,6},{2},{4},{3}]=>[1,2,1,1,1]
[{3},{5},{2},{4,6},{1}]=>[{1},{4,6},{2},{5},{3}]=>[1,2,1,1,1]
[{3},{6},{2},{4,5},{1}]=>[{1},{4,5},{2},{6},{3}]=>[1,2,1,1,1]
[{4},{3},{2},{5,6},{1}]=>[{1},{5,6},{2},{3},{4}]=>[1,2,1,1,1]
[{5},{3},{2},{4,6},{1}]=>[{1},{4,6},{2},{3},{5}]=>[1,2,1,1,1]
[{6},{3},{2},{4,5},{1}]=>[{1},{4,5},{2},{3},{6}]=>[1,2,1,1,1]
[{4},{5},{2},{3,6},{1}]=>[{1},{3,6},{2},{5},{4}]=>[1,2,1,1,1]
[{4},{6},{2},{3,5},{1}]=>[{1},{3,5},{2},{6},{4}]=>[1,2,1,1,1]
[{5},{4},{2},{3,6},{1}]=>[{1},{3,6},{2},{4},{5}]=>[1,2,1,1,1]
[{6},{4},{2},{3,5},{1}]=>[{1},{3,5},{2},{4},{6}]=>[1,2,1,1,1]
[{5},{6},{2},{3,4},{1}]=>[{1},{3,4},{2},{6},{5}]=>[1,2,1,1,1]
[{6},{5},{2},{3,4},{1}]=>[{1},{3,4},{2},{5},{6}]=>[1,2,1,1,1]
[{3},{4},{5},{2,6},{1}]=>[{1},{2,6},{5},{4},{3}]=>[1,2,1,1,1]
[{3},{4},{6},{2,5},{1}]=>[{1},{2,5},{6},{4},{3}]=>[1,2,1,1,1]
[{3},{5},{4},{2,6},{1}]=>[{1},{2,6},{4},{5},{3}]=>[1,2,1,1,1]
[{3},{6},{4},{2,5},{1}]=>[{1},{2,5},{4},{6},{3}]=>[1,2,1,1,1]
[{3},{5},{6},{2,4},{1}]=>[{1},{2,4},{6},{5},{3}]=>[1,2,1,1,1]
[{3},{6},{5},{2,4},{1}]=>[{1},{2,4},{5},{6},{3}]=>[1,2,1,1,1]
[{4},{3},{5},{2,6},{1}]=>[{1},{2,6},{5},{3},{4}]=>[1,2,1,1,1]
[{4},{3},{6},{2,5},{1}]=>[{1},{2,5},{6},{3},{4}]=>[1,2,1,1,1]
[{5},{3},{4},{2,6},{1}]=>[{1},{2,6},{4},{3},{5}]=>[1,2,1,1,1]
[{6},{3},{4},{2,5},{1}]=>[{1},{2,5},{4},{3},{6}]=>[1,2,1,1,1]
[{5},{3},{6},{2,4},{1}]=>[{1},{2,4},{6},{3},{5}]=>[1,2,1,1,1]
[{6},{3},{5},{2,4},{1}]=>[{1},{2,4},{5},{3},{6}]=>[1,2,1,1,1]
[{4},{5},{3},{2,6},{1}]=>[{1},{2,6},{3},{5},{4}]=>[1,2,1,1,1]
[{4},{6},{3},{2,5},{1}]=>[{1},{2,5},{3},{6},{4}]=>[1,2,1,1,1]
[{5},{4},{3},{2,6},{1}]=>[{1},{2,6},{3},{4},{5}]=>[1,2,1,1,1]
[{6},{4},{3},{2,5},{1}]=>[{1},{2,5},{3},{4},{6}]=>[1,2,1,1,1]
[{5},{6},{3},{2,4},{1}]=>[{1},{2,4},{3},{6},{5}]=>[1,2,1,1,1]
[{6},{5},{3},{2,4},{1}]=>[{1},{2,4},{3},{5},{6}]=>[1,2,1,1,1]
[{4},{5},{6},{2,3},{1}]=>[{1},{2,3},{6},{5},{4}]=>[1,2,1,1,1]
[{4},{6},{5},{2,3},{1}]=>[{1},{2,3},{5},{6},{4}]=>[1,2,1,1,1]
[{5},{4},{6},{2,3},{1}]=>[{1},{2,3},{6},{4},{5}]=>[1,2,1,1,1]
[{6},{4},{5},{2,3},{1}]=>[{1},{2,3},{5},{4},{6}]=>[1,2,1,1,1]
[{5},{6},{4},{2,3},{1}]=>[{1},{2,3},{4},{6},{5}]=>[1,2,1,1,1]
[{6},{5},{4},{2,3},{1}]=>[{1},{2,3},{4},{5},{6}]=>[1,2,1,1,1]
[{1},{2},{3},{4,5,6}]=>[{4,5,6},{3},{2},{1}]=>[3,1,1,1]
[{1},{2},{4},{3,5,6}]=>[{3,5,6},{4},{2},{1}]=>[3,1,1,1]
[{1},{2},{5},{3,4,6}]=>[{3,4,6},{5},{2},{1}]=>[3,1,1,1]
[{1},{2},{6},{3,4,5}]=>[{3,4,5},{6},{2},{1}]=>[3,1,1,1]
[{1},{3},{2},{4,5,6}]=>[{4,5,6},{2},{3},{1}]=>[3,1,1,1]
[{1},{4},{2},{3,5,6}]=>[{3,5,6},{2},{4},{1}]=>[3,1,1,1]
[{1},{5},{2},{3,4,6}]=>[{3,4,6},{2},{5},{1}]=>[3,1,1,1]
[{1},{6},{2},{3,4,5}]=>[{3,4,5},{2},{6},{1}]=>[3,1,1,1]
[{1},{3},{4},{2,5,6}]=>[{2,5,6},{4},{3},{1}]=>[3,1,1,1]
[{1},{3},{5},{2,4,6}]=>[{2,4,6},{5},{3},{1}]=>[3,1,1,1]
[{1},{3},{6},{2,4,5}]=>[{2,4,5},{6},{3},{1}]=>[3,1,1,1]
[{1},{4},{3},{2,5,6}]=>[{2,5,6},{3},{4},{1}]=>[3,1,1,1]
[{1},{5},{3},{2,4,6}]=>[{2,4,6},{3},{5},{1}]=>[3,1,1,1]
[{1},{6},{3},{2,4,5}]=>[{2,4,5},{3},{6},{1}]=>[3,1,1,1]
[{1},{4},{5},{2,3,6}]=>[{2,3,6},{5},{4},{1}]=>[3,1,1,1]
[{1},{4},{6},{2,3,5}]=>[{2,3,5},{6},{4},{1}]=>[3,1,1,1]
[{1},{5},{4},{2,3,6}]=>[{2,3,6},{4},{5},{1}]=>[3,1,1,1]
[{1},{6},{4},{2,3,5}]=>[{2,3,5},{4},{6},{1}]=>[3,1,1,1]
[{1},{5},{6},{2,3,4}]=>[{2,3,4},{6},{5},{1}]=>[3,1,1,1]
[{1},{6},{5},{2,3,4}]=>[{2,3,4},{5},{6},{1}]=>[3,1,1,1]
[{2},{1},{3},{4,5,6}]=>[{4,5,6},{3},{1},{2}]=>[3,1,1,1]
[{2},{1},{4},{3,5,6}]=>[{3,5,6},{4},{1},{2}]=>[3,1,1,1]
[{2},{1},{5},{3,4,6}]=>[{3,4,6},{5},{1},{2}]=>[3,1,1,1]
[{2},{1},{6},{3,4,5}]=>[{3,4,5},{6},{1},{2}]=>[3,1,1,1]
[{3},{1},{2},{4,5,6}]=>[{4,5,6},{2},{1},{3}]=>[3,1,1,1]
[{4},{1},{2},{3,5,6}]=>[{3,5,6},{2},{1},{4}]=>[3,1,1,1]
[{5},{1},{2},{3,4,6}]=>[{3,4,6},{2},{1},{5}]=>[3,1,1,1]
[{6},{1},{2},{3,4,5}]=>[{3,4,5},{2},{1},{6}]=>[3,1,1,1]
[{3},{1},{4},{2,5,6}]=>[{2,5,6},{4},{1},{3}]=>[3,1,1,1]
[{3},{1},{5},{2,4,6}]=>[{2,4,6},{5},{1},{3}]=>[3,1,1,1]
[{3},{1},{6},{2,4,5}]=>[{2,4,5},{6},{1},{3}]=>[3,1,1,1]
[{4},{1},{3},{2,5,6}]=>[{2,5,6},{3},{1},{4}]=>[3,1,1,1]
[{5},{1},{3},{2,4,6}]=>[{2,4,6},{3},{1},{5}]=>[3,1,1,1]
[{6},{1},{3},{2,4,5}]=>[{2,4,5},{3},{1},{6}]=>[3,1,1,1]
[{4},{1},{5},{2,3,6}]=>[{2,3,6},{5},{1},{4}]=>[3,1,1,1]
[{4},{1},{6},{2,3,5}]=>[{2,3,5},{6},{1},{4}]=>[3,1,1,1]
[{5},{1},{4},{2,3,6}]=>[{2,3,6},{4},{1},{5}]=>[3,1,1,1]
[{6},{1},{4},{2,3,5}]=>[{2,3,5},{4},{1},{6}]=>[3,1,1,1]
[{5},{1},{6},{2,3,4}]=>[{2,3,4},{6},{1},{5}]=>[3,1,1,1]
[{6},{1},{5},{2,3,4}]=>[{2,3,4},{5},{1},{6}]=>[3,1,1,1]
[{2},{3},{1},{4,5,6}]=>[{4,5,6},{1},{3},{2}]=>[3,1,1,1]
[{2},{4},{1},{3,5,6}]=>[{3,5,6},{1},{4},{2}]=>[3,1,1,1]
[{2},{5},{1},{3,4,6}]=>[{3,4,6},{1},{5},{2}]=>[3,1,1,1]
[{2},{6},{1},{3,4,5}]=>[{3,4,5},{1},{6},{2}]=>[3,1,1,1]
[{3},{2},{1},{4,5,6}]=>[{4,5,6},{1},{2},{3}]=>[3,1,1,1]
[{4},{2},{1},{3,5,6}]=>[{3,5,6},{1},{2},{4}]=>[3,1,1,1]
[{5},{2},{1},{3,4,6}]=>[{3,4,6},{1},{2},{5}]=>[3,1,1,1]
[{6},{2},{1},{3,4,5}]=>[{3,4,5},{1},{2},{6}]=>[3,1,1,1]
[{3},{4},{1},{2,5,6}]=>[{2,5,6},{1},{4},{3}]=>[3,1,1,1]
[{3},{5},{1},{2,4,6}]=>[{2,4,6},{1},{5},{3}]=>[3,1,1,1]
[{3},{6},{1},{2,4,5}]=>[{2,4,5},{1},{6},{3}]=>[3,1,1,1]
[{4},{3},{1},{2,5,6}]=>[{2,5,6},{1},{3},{4}]=>[3,1,1,1]
[{5},{3},{1},{2,4,6}]=>[{2,4,6},{1},{3},{5}]=>[3,1,1,1]
[{6},{3},{1},{2,4,5}]=>[{2,4,5},{1},{3},{6}]=>[3,1,1,1]
[{4},{5},{1},{2,3,6}]=>[{2,3,6},{1},{5},{4}]=>[3,1,1,1]
[{4},{6},{1},{2,3,5}]=>[{2,3,5},{1},{6},{4}]=>[3,1,1,1]
[{5},{4},{1},{2,3,6}]=>[{2,3,6},{1},{4},{5}]=>[3,1,1,1]
[{6},{4},{1},{2,3,5}]=>[{2,3,5},{1},{4},{6}]=>[3,1,1,1]
[{5},{6},{1},{2,3,4}]=>[{2,3,4},{1},{6},{5}]=>[3,1,1,1]
[{6},{5},{1},{2,3,4}]=>[{2,3,4},{1},{5},{6}]=>[3,1,1,1]
[{2},{3},{4},{1,5,6}]=>[{1,5,6},{4},{3},{2}]=>[3,1,1,1]
[{2},{3},{5},{1,4,6}]=>[{1,4,6},{5},{3},{2}]=>[3,1,1,1]
[{2},{3},{6},{1,4,5}]=>[{1,4,5},{6},{3},{2}]=>[3,1,1,1]
[{2},{4},{3},{1,5,6}]=>[{1,5,6},{3},{4},{2}]=>[3,1,1,1]
[{2},{5},{3},{1,4,6}]=>[{1,4,6},{3},{5},{2}]=>[3,1,1,1]
[{2},{6},{3},{1,4,5}]=>[{1,4,5},{3},{6},{2}]=>[3,1,1,1]
[{2},{4},{5},{1,3,6}]=>[{1,3,6},{5},{4},{2}]=>[3,1,1,1]
[{2},{4},{6},{1,3,5}]=>[{1,3,5},{6},{4},{2}]=>[3,1,1,1]
[{2},{5},{4},{1,3,6}]=>[{1,3,6},{4},{5},{2}]=>[3,1,1,1]
[{2},{6},{4},{1,3,5}]=>[{1,3,5},{4},{6},{2}]=>[3,1,1,1]
[{2},{5},{6},{1,3,4}]=>[{1,3,4},{6},{5},{2}]=>[3,1,1,1]
[{2},{6},{5},{1,3,4}]=>[{1,3,4},{5},{6},{2}]=>[3,1,1,1]
[{3},{2},{4},{1,5,6}]=>[{1,5,6},{4},{2},{3}]=>[3,1,1,1]
[{3},{2},{5},{1,4,6}]=>[{1,4,6},{5},{2},{3}]=>[3,1,1,1]
[{3},{2},{6},{1,4,5}]=>[{1,4,5},{6},{2},{3}]=>[3,1,1,1]
[{4},{2},{3},{1,5,6}]=>[{1,5,6},{3},{2},{4}]=>[3,1,1,1]
[{5},{2},{3},{1,4,6}]=>[{1,4,6},{3},{2},{5}]=>[3,1,1,1]
[{6},{2},{3},{1,4,5}]=>[{1,4,5},{3},{2},{6}]=>[3,1,1,1]
[{4},{2},{5},{1,3,6}]=>[{1,3,6},{5},{2},{4}]=>[3,1,1,1]
[{4},{2},{6},{1,3,5}]=>[{1,3,5},{6},{2},{4}]=>[3,1,1,1]
[{5},{2},{4},{1,3,6}]=>[{1,3,6},{4},{2},{5}]=>[3,1,1,1]
[{6},{2},{4},{1,3,5}]=>[{1,3,5},{4},{2},{6}]=>[3,1,1,1]
[{5},{2},{6},{1,3,4}]=>[{1,3,4},{6},{2},{5}]=>[3,1,1,1]
[{6},{2},{5},{1,3,4}]=>[{1,3,4},{5},{2},{6}]=>[3,1,1,1]
[{3},{4},{2},{1,5,6}]=>[{1,5,6},{2},{4},{3}]=>[3,1,1,1]
[{3},{5},{2},{1,4,6}]=>[{1,4,6},{2},{5},{3}]=>[3,1,1,1]
[{3},{6},{2},{1,4,5}]=>[{1,4,5},{2},{6},{3}]=>[3,1,1,1]
[{4},{3},{2},{1,5,6}]=>[{1,5,6},{2},{3},{4}]=>[3,1,1,1]
[{5},{3},{2},{1,4,6}]=>[{1,4,6},{2},{3},{5}]=>[3,1,1,1]
[{6},{3},{2},{1,4,5}]=>[{1,4,5},{2},{3},{6}]=>[3,1,1,1]
[{4},{5},{2},{1,3,6}]=>[{1,3,6},{2},{5},{4}]=>[3,1,1,1]
[{4},{6},{2},{1,3,5}]=>[{1,3,5},{2},{6},{4}]=>[3,1,1,1]
[{5},{4},{2},{1,3,6}]=>[{1,3,6},{2},{4},{5}]=>[3,1,1,1]
[{6},{4},{2},{1,3,5}]=>[{1,3,5},{2},{4},{6}]=>[3,1,1,1]
[{5},{6},{2},{1,3,4}]=>[{1,3,4},{2},{6},{5}]=>[3,1,1,1]
[{6},{5},{2},{1,3,4}]=>[{1,3,4},{2},{5},{6}]=>[3,1,1,1]
[{3},{4},{5},{1,2,6}]=>[{1,2,6},{5},{4},{3}]=>[3,1,1,1]
[{3},{4},{6},{1,2,5}]=>[{1,2,5},{6},{4},{3}]=>[3,1,1,1]
[{3},{5},{4},{1,2,6}]=>[{1,2,6},{4},{5},{3}]=>[3,1,1,1]
[{3},{6},{4},{1,2,5}]=>[{1,2,5},{4},{6},{3}]=>[3,1,1,1]
[{3},{5},{6},{1,2,4}]=>[{1,2,4},{6},{5},{3}]=>[3,1,1,1]
[{3},{6},{5},{1,2,4}]=>[{1,2,4},{5},{6},{3}]=>[3,1,1,1]
[{4},{3},{5},{1,2,6}]=>[{1,2,6},{5},{3},{4}]=>[3,1,1,1]
[{4},{3},{6},{1,2,5}]=>[{1,2,5},{6},{3},{4}]=>[3,1,1,1]
[{5},{3},{4},{1,2,6}]=>[{1,2,6},{4},{3},{5}]=>[3,1,1,1]
[{6},{3},{4},{1,2,5}]=>[{1,2,5},{4},{3},{6}]=>[3,1,1,1]
[{5},{3},{6},{1,2,4}]=>[{1,2,4},{6},{3},{5}]=>[3,1,1,1]
[{6},{3},{5},{1,2,4}]=>[{1,2,4},{5},{3},{6}]=>[3,1,1,1]
[{4},{5},{3},{1,2,6}]=>[{1,2,6},{3},{5},{4}]=>[3,1,1,1]
[{4},{6},{3},{1,2,5}]=>[{1,2,5},{3},{6},{4}]=>[3,1,1,1]
[{5},{4},{3},{1,2,6}]=>[{1,2,6},{3},{4},{5}]=>[3,1,1,1]
[{6},{4},{3},{1,2,5}]=>[{1,2,5},{3},{4},{6}]=>[3,1,1,1]
[{5},{6},{3},{1,2,4}]=>[{1,2,4},{3},{6},{5}]=>[3,1,1,1]
[{6},{5},{3},{1,2,4}]=>[{1,2,4},{3},{5},{6}]=>[3,1,1,1]
[{4},{5},{6},{1,2,3}]=>[{1,2,3},{6},{5},{4}]=>[3,1,1,1]
[{4},{6},{5},{1,2,3}]=>[{1,2,3},{5},{6},{4}]=>[3,1,1,1]
[{5},{4},{6},{1,2,3}]=>[{1,2,3},{6},{4},{5}]=>[3,1,1,1]
[{6},{4},{5},{1,2,3}]=>[{1,2,3},{5},{4},{6}]=>[3,1,1,1]
[{5},{6},{4},{1,2,3}]=>[{1,2,3},{4},{6},{5}]=>[3,1,1,1]
[{6},{5},{4},{1,2,3}]=>[{1,2,3},{4},{5},{6}]=>[3,1,1,1]
[{1},{2},{3,4},{5},{6}]=>[{6},{5},{3,4},{2},{1}]=>[1,1,2,1,1]
[{1},{2},{3,4},{6},{5}]=>[{5},{6},{3,4},{2},{1}]=>[1,1,2,1,1]
[{1},{2},{3,5},{4},{6}]=>[{6},{4},{3,5},{2},{1}]=>[1,1,2,1,1]
[{1},{2},{3,6},{4},{5}]=>[{5},{4},{3,6},{2},{1}]=>[1,1,2,1,1]
[{1},{2},{3,5},{6},{4}]=>[{4},{6},{3,5},{2},{1}]=>[1,1,2,1,1]
[{1},{2},{3,6},{5},{4}]=>[{4},{5},{3,6},{2},{1}]=>[1,1,2,1,1]
[{1},{2},{4,5},{3},{6}]=>[{6},{3},{4,5},{2},{1}]=>[1,1,2,1,1]
[{1},{2},{4,6},{3},{5}]=>[{5},{3},{4,6},{2},{1}]=>[1,1,2,1,1]
[{1},{2},{5,6},{3},{4}]=>[{4},{3},{5,6},{2},{1}]=>[1,1,2,1,1]
[{1},{2},{4,5},{6},{3}]=>[{3},{6},{4,5},{2},{1}]=>[1,1,2,1,1]
[{1},{2},{4,6},{5},{3}]=>[{3},{5},{4,6},{2},{1}]=>[1,1,2,1,1]
[{1},{2},{5,6},{4},{3}]=>[{3},{4},{5,6},{2},{1}]=>[1,1,2,1,1]
[{1},{3},{2,4},{5},{6}]=>[{6},{5},{2,4},{3},{1}]=>[1,1,2,1,1]
[{1},{3},{2,4},{6},{5}]=>[{5},{6},{2,4},{3},{1}]=>[1,1,2,1,1]
[{1},{3},{2,5},{4},{6}]=>[{6},{4},{2,5},{3},{1}]=>[1,1,2,1,1]
[{1},{3},{2,6},{4},{5}]=>[{5},{4},{2,6},{3},{1}]=>[1,1,2,1,1]
[{1},{3},{2,5},{6},{4}]=>[{4},{6},{2,5},{3},{1}]=>[1,1,2,1,1]
[{1},{3},{2,6},{5},{4}]=>[{4},{5},{2,6},{3},{1}]=>[1,1,2,1,1]
[{1},{4},{2,3},{5},{6}]=>[{6},{5},{2,3},{4},{1}]=>[1,1,2,1,1]
[{1},{4},{2,3},{6},{5}]=>[{5},{6},{2,3},{4},{1}]=>[1,1,2,1,1]
[{1},{5},{2,3},{4},{6}]=>[{6},{4},{2,3},{5},{1}]=>[1,1,2,1,1]
[{1},{6},{2,3},{4},{5}]=>[{5},{4},{2,3},{6},{1}]=>[1,1,2,1,1]
[{1},{5},{2,3},{6},{4}]=>[{4},{6},{2,3},{5},{1}]=>[1,1,2,1,1]
[{1},{6},{2,3},{5},{4}]=>[{4},{5},{2,3},{6},{1}]=>[1,1,2,1,1]
[{1},{4},{2,5},{3},{6}]=>[{6},{3},{2,5},{4},{1}]=>[1,1,2,1,1]
[{1},{4},{2,6},{3},{5}]=>[{5},{3},{2,6},{4},{1}]=>[1,1,2,1,1]
[{1},{5},{2,4},{3},{6}]=>[{6},{3},{2,4},{5},{1}]=>[1,1,2,1,1]
[{1},{6},{2,4},{3},{5}]=>[{5},{3},{2,4},{6},{1}]=>[1,1,2,1,1]
[{1},{5},{2,6},{3},{4}]=>[{4},{3},{2,6},{5},{1}]=>[1,1,2,1,1]
[{1},{6},{2,5},{3},{4}]=>[{4},{3},{2,5},{6},{1}]=>[1,1,2,1,1]
[{1},{4},{2,5},{6},{3}]=>[{3},{6},{2,5},{4},{1}]=>[1,1,2,1,1]
[{1},{4},{2,6},{5},{3}]=>[{3},{5},{2,6},{4},{1}]=>[1,1,2,1,1]
[{1},{5},{2,4},{6},{3}]=>[{3},{6},{2,4},{5},{1}]=>[1,1,2,1,1]
[{1},{6},{2,4},{5},{3}]=>[{3},{5},{2,4},{6},{1}]=>[1,1,2,1,1]
[{1},{5},{2,6},{4},{3}]=>[{3},{4},{2,6},{5},{1}]=>[1,1,2,1,1]
[{1},{6},{2,5},{4},{3}]=>[{3},{4},{2,5},{6},{1}]=>[1,1,2,1,1]
[{1},{3},{4,5},{2},{6}]=>[{6},{2},{4,5},{3},{1}]=>[1,1,2,1,1]
[{1},{3},{4,6},{2},{5}]=>[{5},{2},{4,6},{3},{1}]=>[1,1,2,1,1]
[{1},{3},{5,6},{2},{4}]=>[{4},{2},{5,6},{3},{1}]=>[1,1,2,1,1]
[{1},{4},{3,5},{2},{6}]=>[{6},{2},{3,5},{4},{1}]=>[1,1,2,1,1]
[{1},{4},{3,6},{2},{5}]=>[{5},{2},{3,6},{4},{1}]=>[1,1,2,1,1]
[{1},{5},{3,4},{2},{6}]=>[{6},{2},{3,4},{5},{1}]=>[1,1,2,1,1]
[{1},{6},{3,4},{2},{5}]=>[{5},{2},{3,4},{6},{1}]=>[1,1,2,1,1]
[{1},{5},{3,6},{2},{4}]=>[{4},{2},{3,6},{5},{1}]=>[1,1,2,1,1]
[{1},{6},{3,5},{2},{4}]=>[{4},{2},{3,5},{6},{1}]=>[1,1,2,1,1]
[{1},{4},{5,6},{2},{3}]=>[{3},{2},{5,6},{4},{1}]=>[1,1,2,1,1]
[{1},{5},{4,6},{2},{3}]=>[{3},{2},{4,6},{5},{1}]=>[1,1,2,1,1]
[{1},{6},{4,5},{2},{3}]=>[{3},{2},{4,5},{6},{1}]=>[1,1,2,1,1]
[{1},{3},{4,5},{6},{2}]=>[{2},{6},{4,5},{3},{1}]=>[1,1,2,1,1]
[{1},{3},{4,6},{5},{2}]=>[{2},{5},{4,6},{3},{1}]=>[1,1,2,1,1]
[{1},{3},{5,6},{4},{2}]=>[{2},{4},{5,6},{3},{1}]=>[1,1,2,1,1]
[{1},{4},{3,5},{6},{2}]=>[{2},{6},{3,5},{4},{1}]=>[1,1,2,1,1]
[{1},{4},{3,6},{5},{2}]=>[{2},{5},{3,6},{4},{1}]=>[1,1,2,1,1]
[{1},{5},{3,4},{6},{2}]=>[{2},{6},{3,4},{5},{1}]=>[1,1,2,1,1]
[{1},{6},{3,4},{5},{2}]=>[{2},{5},{3,4},{6},{1}]=>[1,1,2,1,1]
[{1},{5},{3,6},{4},{2}]=>[{2},{4},{3,6},{5},{1}]=>[1,1,2,1,1]
[{1},{6},{3,5},{4},{2}]=>[{2},{4},{3,5},{6},{1}]=>[1,1,2,1,1]
[{1},{4},{5,6},{3},{2}]=>[{2},{3},{5,6},{4},{1}]=>[1,1,2,1,1]
[{1},{5},{4,6},{3},{2}]=>[{2},{3},{4,6},{5},{1}]=>[1,1,2,1,1]
[{1},{6},{4,5},{3},{2}]=>[{2},{3},{4,5},{6},{1}]=>[1,1,2,1,1]
[{2},{1},{3,4},{5},{6}]=>[{6},{5},{3,4},{1},{2}]=>[1,1,2,1,1]
[{2},{1},{3,4},{6},{5}]=>[{5},{6},{3,4},{1},{2}]=>[1,1,2,1,1]
[{2},{1},{3,5},{4},{6}]=>[{6},{4},{3,5},{1},{2}]=>[1,1,2,1,1]
[{2},{1},{3,6},{4},{5}]=>[{5},{4},{3,6},{1},{2}]=>[1,1,2,1,1]
[{2},{1},{3,5},{6},{4}]=>[{4},{6},{3,5},{1},{2}]=>[1,1,2,1,1]
[{2},{1},{3,6},{5},{4}]=>[{4},{5},{3,6},{1},{2}]=>[1,1,2,1,1]
[{2},{1},{4,5},{3},{6}]=>[{6},{3},{4,5},{1},{2}]=>[1,1,2,1,1]
[{2},{1},{4,6},{3},{5}]=>[{5},{3},{4,6},{1},{2}]=>[1,1,2,1,1]
[{2},{1},{5,6},{3},{4}]=>[{4},{3},{5,6},{1},{2}]=>[1,1,2,1,1]
[{2},{1},{4,5},{6},{3}]=>[{3},{6},{4,5},{1},{2}]=>[1,1,2,1,1]
[{2},{1},{4,6},{5},{3}]=>[{3},{5},{4,6},{1},{2}]=>[1,1,2,1,1]
[{2},{1},{5,6},{4},{3}]=>[{3},{4},{5,6},{1},{2}]=>[1,1,2,1,1]
[{3},{1},{2,4},{5},{6}]=>[{6},{5},{2,4},{1},{3}]=>[1,1,2,1,1]
[{3},{1},{2,4},{6},{5}]=>[{5},{6},{2,4},{1},{3}]=>[1,1,2,1,1]
[{3},{1},{2,5},{4},{6}]=>[{6},{4},{2,5},{1},{3}]=>[1,1,2,1,1]
[{3},{1},{2,6},{4},{5}]=>[{5},{4},{2,6},{1},{3}]=>[1,1,2,1,1]
[{3},{1},{2,5},{6},{4}]=>[{4},{6},{2,5},{1},{3}]=>[1,1,2,1,1]
[{3},{1},{2,6},{5},{4}]=>[{4},{5},{2,6},{1},{3}]=>[1,1,2,1,1]
[{4},{1},{2,3},{5},{6}]=>[{6},{5},{2,3},{1},{4}]=>[1,1,2,1,1]
[{4},{1},{2,3},{6},{5}]=>[{5},{6},{2,3},{1},{4}]=>[1,1,2,1,1]
[{5},{1},{2,3},{4},{6}]=>[{6},{4},{2,3},{1},{5}]=>[1,1,2,1,1]
[{6},{1},{2,3},{4},{5}]=>[{5},{4},{2,3},{1},{6}]=>[1,1,2,1,1]
[{5},{1},{2,3},{6},{4}]=>[{4},{6},{2,3},{1},{5}]=>[1,1,2,1,1]
[{6},{1},{2,3},{5},{4}]=>[{4},{5},{2,3},{1},{6}]=>[1,1,2,1,1]
[{4},{1},{2,5},{3},{6}]=>[{6},{3},{2,5},{1},{4}]=>[1,1,2,1,1]
[{4},{1},{2,6},{3},{5}]=>[{5},{3},{2,6},{1},{4}]=>[1,1,2,1,1]
[{5},{1},{2,4},{3},{6}]=>[{6},{3},{2,4},{1},{5}]=>[1,1,2,1,1]
[{6},{1},{2,4},{3},{5}]=>[{5},{3},{2,4},{1},{6}]=>[1,1,2,1,1]
[{5},{1},{2,6},{3},{4}]=>[{4},{3},{2,6},{1},{5}]=>[1,1,2,1,1]
[{6},{1},{2,5},{3},{4}]=>[{4},{3},{2,5},{1},{6}]=>[1,1,2,1,1]
[{4},{1},{2,5},{6},{3}]=>[{3},{6},{2,5},{1},{4}]=>[1,1,2,1,1]
[{4},{1},{2,6},{5},{3}]=>[{3},{5},{2,6},{1},{4}]=>[1,1,2,1,1]
[{5},{1},{2,4},{6},{3}]=>[{3},{6},{2,4},{1},{5}]=>[1,1,2,1,1]
[{6},{1},{2,4},{5},{3}]=>[{3},{5},{2,4},{1},{6}]=>[1,1,2,1,1]
[{5},{1},{2,6},{4},{3}]=>[{3},{4},{2,6},{1},{5}]=>[1,1,2,1,1]
[{6},{1},{2,5},{4},{3}]=>[{3},{4},{2,5},{1},{6}]=>[1,1,2,1,1]
[{3},{1},{4,5},{2},{6}]=>[{6},{2},{4,5},{1},{3}]=>[1,1,2,1,1]
[{3},{1},{4,6},{2},{5}]=>[{5},{2},{4,6},{1},{3}]=>[1,1,2,1,1]
[{3},{1},{5,6},{2},{4}]=>[{4},{2},{5,6},{1},{3}]=>[1,1,2,1,1]
[{4},{1},{3,5},{2},{6}]=>[{6},{2},{3,5},{1},{4}]=>[1,1,2,1,1]
[{4},{1},{3,6},{2},{5}]=>[{5},{2},{3,6},{1},{4}]=>[1,1,2,1,1]
[{5},{1},{3,4},{2},{6}]=>[{6},{2},{3,4},{1},{5}]=>[1,1,2,1,1]
[{6},{1},{3,4},{2},{5}]=>[{5},{2},{3,4},{1},{6}]=>[1,1,2,1,1]
[{5},{1},{3,6},{2},{4}]=>[{4},{2},{3,6},{1},{5}]=>[1,1,2,1,1]
[{6},{1},{3,5},{2},{4}]=>[{4},{2},{3,5},{1},{6}]=>[1,1,2,1,1]
[{4},{1},{5,6},{2},{3}]=>[{3},{2},{5,6},{1},{4}]=>[1,1,2,1,1]
[{5},{1},{4,6},{2},{3}]=>[{3},{2},{4,6},{1},{5}]=>[1,1,2,1,1]
[{6},{1},{4,5},{2},{3}]=>[{3},{2},{4,5},{1},{6}]=>[1,1,2,1,1]
[{3},{1},{4,5},{6},{2}]=>[{2},{6},{4,5},{1},{3}]=>[1,1,2,1,1]
[{3},{1},{4,6},{5},{2}]=>[{2},{5},{4,6},{1},{3}]=>[1,1,2,1,1]
[{3},{1},{5,6},{4},{2}]=>[{2},{4},{5,6},{1},{3}]=>[1,1,2,1,1]
[{4},{1},{3,5},{6},{2}]=>[{2},{6},{3,5},{1},{4}]=>[1,1,2,1,1]
[{4},{1},{3,6},{5},{2}]=>[{2},{5},{3,6},{1},{4}]=>[1,1,2,1,1]
[{5},{1},{3,4},{6},{2}]=>[{2},{6},{3,4},{1},{5}]=>[1,1,2,1,1]
[{6},{1},{3,4},{5},{2}]=>[{2},{5},{3,4},{1},{6}]=>[1,1,2,1,1]
[{5},{1},{3,6},{4},{2}]=>[{2},{4},{3,6},{1},{5}]=>[1,1,2,1,1]
[{6},{1},{3,5},{4},{2}]=>[{2},{4},{3,5},{1},{6}]=>[1,1,2,1,1]
[{4},{1},{5,6},{3},{2}]=>[{2},{3},{5,6},{1},{4}]=>[1,1,2,1,1]
[{5},{1},{4,6},{3},{2}]=>[{2},{3},{4,6},{1},{5}]=>[1,1,2,1,1]
[{6},{1},{4,5},{3},{2}]=>[{2},{3},{4,5},{1},{6}]=>[1,1,2,1,1]
[{2},{3},{1,4},{5},{6}]=>[{6},{5},{1,4},{3},{2}]=>[1,1,2,1,1]
[{2},{3},{1,4},{6},{5}]=>[{5},{6},{1,4},{3},{2}]=>[1,1,2,1,1]
[{2},{3},{1,5},{4},{6}]=>[{6},{4},{1,5},{3},{2}]=>[1,1,2,1,1]
[{2},{3},{1,6},{4},{5}]=>[{5},{4},{1,6},{3},{2}]=>[1,1,2,1,1]
[{2},{3},{1,5},{6},{4}]=>[{4},{6},{1,5},{3},{2}]=>[1,1,2,1,1]
[{2},{3},{1,6},{5},{4}]=>[{4},{5},{1,6},{3},{2}]=>[1,1,2,1,1]
[{2},{4},{1,3},{5},{6}]=>[{6},{5},{1,3},{4},{2}]=>[1,1,2,1,1]
[{2},{4},{1,3},{6},{5}]=>[{5},{6},{1,3},{4},{2}]=>[1,1,2,1,1]
[{2},{5},{1,3},{4},{6}]=>[{6},{4},{1,3},{5},{2}]=>[1,1,2,1,1]
[{2},{6},{1,3},{4},{5}]=>[{5},{4},{1,3},{6},{2}]=>[1,1,2,1,1]
[{2},{5},{1,3},{6},{4}]=>[{4},{6},{1,3},{5},{2}]=>[1,1,2,1,1]
[{2},{6},{1,3},{5},{4}]=>[{4},{5},{1,3},{6},{2}]=>[1,1,2,1,1]
[{2},{4},{1,5},{3},{6}]=>[{6},{3},{1,5},{4},{2}]=>[1,1,2,1,1]
[{2},{4},{1,6},{3},{5}]=>[{5},{3},{1,6},{4},{2}]=>[1,1,2,1,1]
[{2},{5},{1,4},{3},{6}]=>[{6},{3},{1,4},{5},{2}]=>[1,1,2,1,1]
[{2},{6},{1,4},{3},{5}]=>[{5},{3},{1,4},{6},{2}]=>[1,1,2,1,1]
[{2},{5},{1,6},{3},{4}]=>[{4},{3},{1,6},{5},{2}]=>[1,1,2,1,1]
[{2},{6},{1,5},{3},{4}]=>[{4},{3},{1,5},{6},{2}]=>[1,1,2,1,1]
[{2},{4},{1,5},{6},{3}]=>[{3},{6},{1,5},{4},{2}]=>[1,1,2,1,1]
[{2},{4},{1,6},{5},{3}]=>[{3},{5},{1,6},{4},{2}]=>[1,1,2,1,1]
[{2},{5},{1,4},{6},{3}]=>[{3},{6},{1,4},{5},{2}]=>[1,1,2,1,1]
[{2},{6},{1,4},{5},{3}]=>[{3},{5},{1,4},{6},{2}]=>[1,1,2,1,1]
[{2},{5},{1,6},{4},{3}]=>[{3},{4},{1,6},{5},{2}]=>[1,1,2,1,1]
[{2},{6},{1,5},{4},{3}]=>[{3},{4},{1,5},{6},{2}]=>[1,1,2,1,1]
[{3},{2},{1,4},{5},{6}]=>[{6},{5},{1,4},{2},{3}]=>[1,1,2,1,1]
[{3},{2},{1,4},{6},{5}]=>[{5},{6},{1,4},{2},{3}]=>[1,1,2,1,1]
[{3},{2},{1,5},{4},{6}]=>[{6},{4},{1,5},{2},{3}]=>[1,1,2,1,1]
[{3},{2},{1,6},{4},{5}]=>[{5},{4},{1,6},{2},{3}]=>[1,1,2,1,1]
[{3},{2},{1,5},{6},{4}]=>[{4},{6},{1,5},{2},{3}]=>[1,1,2,1,1]
[{3},{2},{1,6},{5},{4}]=>[{4},{5},{1,6},{2},{3}]=>[1,1,2,1,1]
[{4},{2},{1,3},{5},{6}]=>[{6},{5},{1,3},{2},{4}]=>[1,1,2,1,1]
[{4},{2},{1,3},{6},{5}]=>[{5},{6},{1,3},{2},{4}]=>[1,1,2,1,1]
[{5},{2},{1,3},{4},{6}]=>[{6},{4},{1,3},{2},{5}]=>[1,1,2,1,1]
[{6},{2},{1,3},{4},{5}]=>[{5},{4},{1,3},{2},{6}]=>[1,1,2,1,1]
[{5},{2},{1,3},{6},{4}]=>[{4},{6},{1,3},{2},{5}]=>[1,1,2,1,1]
[{6},{2},{1,3},{5},{4}]=>[{4},{5},{1,3},{2},{6}]=>[1,1,2,1,1]
[{4},{2},{1,5},{3},{6}]=>[{6},{3},{1,5},{2},{4}]=>[1,1,2,1,1]
[{4},{2},{1,6},{3},{5}]=>[{5},{3},{1,6},{2},{4}]=>[1,1,2,1,1]
[{5},{2},{1,4},{3},{6}]=>[{6},{3},{1,4},{2},{5}]=>[1,1,2,1,1]
[{6},{2},{1,4},{3},{5}]=>[{5},{3},{1,4},{2},{6}]=>[1,1,2,1,1]
[{5},{2},{1,6},{3},{4}]=>[{4},{3},{1,6},{2},{5}]=>[1,1,2,1,1]
[{6},{2},{1,5},{3},{4}]=>[{4},{3},{1,5},{2},{6}]=>[1,1,2,1,1]
[{4},{2},{1,5},{6},{3}]=>[{3},{6},{1,5},{2},{4}]=>[1,1,2,1,1]
[{4},{2},{1,6},{5},{3}]=>[{3},{5},{1,6},{2},{4}]=>[1,1,2,1,1]
[{5},{2},{1,4},{6},{3}]=>[{3},{6},{1,4},{2},{5}]=>[1,1,2,1,1]
[{6},{2},{1,4},{5},{3}]=>[{3},{5},{1,4},{2},{6}]=>[1,1,2,1,1]
[{5},{2},{1,6},{4},{3}]=>[{3},{4},{1,6},{2},{5}]=>[1,1,2,1,1]
[{6},{2},{1,5},{4},{3}]=>[{3},{4},{1,5},{2},{6}]=>[1,1,2,1,1]
[{3},{4},{1,2},{5},{6}]=>[{6},{5},{1,2},{4},{3}]=>[1,1,2,1,1]
[{3},{4},{1,2},{6},{5}]=>[{5},{6},{1,2},{4},{3}]=>[1,1,2,1,1]
[{3},{5},{1,2},{4},{6}]=>[{6},{4},{1,2},{5},{3}]=>[1,1,2,1,1]
[{3},{6},{1,2},{4},{5}]=>[{5},{4},{1,2},{6},{3}]=>[1,1,2,1,1]
[{3},{5},{1,2},{6},{4}]=>[{4},{6},{1,2},{5},{3}]=>[1,1,2,1,1]
[{3},{6},{1,2},{5},{4}]=>[{4},{5},{1,2},{6},{3}]=>[1,1,2,1,1]
[{4},{3},{1,2},{5},{6}]=>[{6},{5},{1,2},{3},{4}]=>[1,1,2,1,1]
[{4},{3},{1,2},{6},{5}]=>[{5},{6},{1,2},{3},{4}]=>[1,1,2,1,1]
[{5},{3},{1,2},{4},{6}]=>[{6},{4},{1,2},{3},{5}]=>[1,1,2,1,1]
[{6},{3},{1,2},{4},{5}]=>[{5},{4},{1,2},{3},{6}]=>[1,1,2,1,1]
[{5},{3},{1,2},{6},{4}]=>[{4},{6},{1,2},{3},{5}]=>[1,1,2,1,1]
[{6},{3},{1,2},{5},{4}]=>[{4},{5},{1,2},{3},{6}]=>[1,1,2,1,1]
[{4},{5},{1,2},{3},{6}]=>[{6},{3},{1,2},{5},{4}]=>[1,1,2,1,1]
[{4},{6},{1,2},{3},{5}]=>[{5},{3},{1,2},{6},{4}]=>[1,1,2,1,1]
[{5},{4},{1,2},{3},{6}]=>[{6},{3},{1,2},{4},{5}]=>[1,1,2,1,1]
[{6},{4},{1,2},{3},{5}]=>[{5},{3},{1,2},{4},{6}]=>[1,1,2,1,1]
[{5},{6},{1,2},{3},{4}]=>[{4},{3},{1,2},{6},{5}]=>[1,1,2,1,1]
[{6},{5},{1,2},{3},{4}]=>[{4},{3},{1,2},{5},{6}]=>[1,1,2,1,1]
[{4},{5},{1,2},{6},{3}]=>[{3},{6},{1,2},{5},{4}]=>[1,1,2,1,1]
[{4},{6},{1,2},{5},{3}]=>[{3},{5},{1,2},{6},{4}]=>[1,1,2,1,1]
[{5},{4},{1,2},{6},{3}]=>[{3},{6},{1,2},{4},{5}]=>[1,1,2,1,1]
[{6},{4},{1,2},{5},{3}]=>[{3},{5},{1,2},{4},{6}]=>[1,1,2,1,1]
[{5},{6},{1,2},{4},{3}]=>[{3},{4},{1,2},{6},{5}]=>[1,1,2,1,1]
[{6},{5},{1,2},{4},{3}]=>[{3},{4},{1,2},{5},{6}]=>[1,1,2,1,1]
[{3},{4},{1,5},{2},{6}]=>[{6},{2},{1,5},{4},{3}]=>[1,1,2,1,1]
[{3},{4},{1,6},{2},{5}]=>[{5},{2},{1,6},{4},{3}]=>[1,1,2,1,1]
[{3},{5},{1,4},{2},{6}]=>[{6},{2},{1,4},{5},{3}]=>[1,1,2,1,1]
[{3},{6},{1,4},{2},{5}]=>[{5},{2},{1,4},{6},{3}]=>[1,1,2,1,1]
[{3},{5},{1,6},{2},{4}]=>[{4},{2},{1,6},{5},{3}]=>[1,1,2,1,1]
[{3},{6},{1,5},{2},{4}]=>[{4},{2},{1,5},{6},{3}]=>[1,1,2,1,1]
[{4},{3},{1,5},{2},{6}]=>[{6},{2},{1,5},{3},{4}]=>[1,1,2,1,1]
[{4},{3},{1,6},{2},{5}]=>[{5},{2},{1,6},{3},{4}]=>[1,1,2,1,1]
[{5},{3},{1,4},{2},{6}]=>[{6},{2},{1,4},{3},{5}]=>[1,1,2,1,1]
[{6},{3},{1,4},{2},{5}]=>[{5},{2},{1,4},{3},{6}]=>[1,1,2,1,1]
[{5},{3},{1,6},{2},{4}]=>[{4},{2},{1,6},{3},{5}]=>[1,1,2,1,1]
[{6},{3},{1,5},{2},{4}]=>[{4},{2},{1,5},{3},{6}]=>[1,1,2,1,1]
[{4},{5},{1,3},{2},{6}]=>[{6},{2},{1,3},{5},{4}]=>[1,1,2,1,1]
[{4},{6},{1,3},{2},{5}]=>[{5},{2},{1,3},{6},{4}]=>[1,1,2,1,1]
[{5},{4},{1,3},{2},{6}]=>[{6},{2},{1,3},{4},{5}]=>[1,1,2,1,1]
[{6},{4},{1,3},{2},{5}]=>[{5},{2},{1,3},{4},{6}]=>[1,1,2,1,1]
[{5},{6},{1,3},{2},{4}]=>[{4},{2},{1,3},{6},{5}]=>[1,1,2,1,1]
[{6},{5},{1,3},{2},{4}]=>[{4},{2},{1,3},{5},{6}]=>[1,1,2,1,1]
[{4},{5},{1,6},{2},{3}]=>[{3},{2},{1,6},{5},{4}]=>[1,1,2,1,1]
[{4},{6},{1,5},{2},{3}]=>[{3},{2},{1,5},{6},{4}]=>[1,1,2,1,1]
[{5},{4},{1,6},{2},{3}]=>[{3},{2},{1,6},{4},{5}]=>[1,1,2,1,1]
[{6},{4},{1,5},{2},{3}]=>[{3},{2},{1,5},{4},{6}]=>[1,1,2,1,1]
[{5},{6},{1,4},{2},{3}]=>[{3},{2},{1,4},{6},{5}]=>[1,1,2,1,1]
[{6},{5},{1,4},{2},{3}]=>[{3},{2},{1,4},{5},{6}]=>[1,1,2,1,1]
[{3},{4},{1,5},{6},{2}]=>[{2},{6},{1,5},{4},{3}]=>[1,1,2,1,1]
[{3},{4},{1,6},{5},{2}]=>[{2},{5},{1,6},{4},{3}]=>[1,1,2,1,1]
[{3},{5},{1,4},{6},{2}]=>[{2},{6},{1,4},{5},{3}]=>[1,1,2,1,1]
[{3},{6},{1,4},{5},{2}]=>[{2},{5},{1,4},{6},{3}]=>[1,1,2,1,1]
[{3},{5},{1,6},{4},{2}]=>[{2},{4},{1,6},{5},{3}]=>[1,1,2,1,1]
[{3},{6},{1,5},{4},{2}]=>[{2},{4},{1,5},{6},{3}]=>[1,1,2,1,1]
[{4},{3},{1,5},{6},{2}]=>[{2},{6},{1,5},{3},{4}]=>[1,1,2,1,1]
[{4},{3},{1,6},{5},{2}]=>[{2},{5},{1,6},{3},{4}]=>[1,1,2,1,1]
[{5},{3},{1,4},{6},{2}]=>[{2},{6},{1,4},{3},{5}]=>[1,1,2,1,1]
[{6},{3},{1,4},{5},{2}]=>[{2},{5},{1,4},{3},{6}]=>[1,1,2,1,1]
[{5},{3},{1,6},{4},{2}]=>[{2},{4},{1,6},{3},{5}]=>[1,1,2,1,1]
[{6},{3},{1,5},{4},{2}]=>[{2},{4},{1,5},{3},{6}]=>[1,1,2,1,1]
[{4},{5},{1,3},{6},{2}]=>[{2},{6},{1,3},{5},{4}]=>[1,1,2,1,1]
[{4},{6},{1,3},{5},{2}]=>[{2},{5},{1,3},{6},{4}]=>[1,1,2,1,1]
[{5},{4},{1,3},{6},{2}]=>[{2},{6},{1,3},{4},{5}]=>[1,1,2,1,1]
[{6},{4},{1,3},{5},{2}]=>[{2},{5},{1,3},{4},{6}]=>[1,1,2,1,1]
[{5},{6},{1,3},{4},{2}]=>[{2},{4},{1,3},{6},{5}]=>[1,1,2,1,1]
[{6},{5},{1,3},{4},{2}]=>[{2},{4},{1,3},{5},{6}]=>[1,1,2,1,1]
[{4},{5},{1,6},{3},{2}]=>[{2},{3},{1,6},{5},{4}]=>[1,1,2,1,1]
[{4},{6},{1,5},{3},{2}]=>[{2},{3},{1,5},{6},{4}]=>[1,1,2,1,1]
[{5},{4},{1,6},{3},{2}]=>[{2},{3},{1,6},{4},{5}]=>[1,1,2,1,1]
[{6},{4},{1,5},{3},{2}]=>[{2},{3},{1,5},{4},{6}]=>[1,1,2,1,1]
[{5},{6},{1,4},{3},{2}]=>[{2},{3},{1,4},{6},{5}]=>[1,1,2,1,1]
[{6},{5},{1,4},{3},{2}]=>[{2},{3},{1,4},{5},{6}]=>[1,1,2,1,1]
[{2},{3},{4,5},{1},{6}]=>[{6},{1},{4,5},{3},{2}]=>[1,1,2,1,1]
[{2},{3},{4,6},{1},{5}]=>[{5},{1},{4,6},{3},{2}]=>[1,1,2,1,1]
[{2},{3},{5,6},{1},{4}]=>[{4},{1},{5,6},{3},{2}]=>[1,1,2,1,1]
[{2},{4},{3,5},{1},{6}]=>[{6},{1},{3,5},{4},{2}]=>[1,1,2,1,1]
[{2},{4},{3,6},{1},{5}]=>[{5},{1},{3,6},{4},{2}]=>[1,1,2,1,1]
[{2},{5},{3,4},{1},{6}]=>[{6},{1},{3,4},{5},{2}]=>[1,1,2,1,1]
[{2},{6},{3,4},{1},{5}]=>[{5},{1},{3,4},{6},{2}]=>[1,1,2,1,1]
[{2},{5},{3,6},{1},{4}]=>[{4},{1},{3,6},{5},{2}]=>[1,1,2,1,1]
[{2},{6},{3,5},{1},{4}]=>[{4},{1},{3,5},{6},{2}]=>[1,1,2,1,1]
[{2},{4},{5,6},{1},{3}]=>[{3},{1},{5,6},{4},{2}]=>[1,1,2,1,1]
[{2},{5},{4,6},{1},{3}]=>[{3},{1},{4,6},{5},{2}]=>[1,1,2,1,1]
[{2},{6},{4,5},{1},{3}]=>[{3},{1},{4,5},{6},{2}]=>[1,1,2,1,1]
[{3},{2},{4,5},{1},{6}]=>[{6},{1},{4,5},{2},{3}]=>[1,1,2,1,1]
[{3},{2},{4,6},{1},{5}]=>[{5},{1},{4,6},{2},{3}]=>[1,1,2,1,1]
[{3},{2},{5,6},{1},{4}]=>[{4},{1},{5,6},{2},{3}]=>[1,1,2,1,1]
[{4},{2},{3,5},{1},{6}]=>[{6},{1},{3,5},{2},{4}]=>[1,1,2,1,1]
[{4},{2},{3,6},{1},{5}]=>[{5},{1},{3,6},{2},{4}]=>[1,1,2,1,1]
[{5},{2},{3,4},{1},{6}]=>[{6},{1},{3,4},{2},{5}]=>[1,1,2,1,1]
[{6},{2},{3,4},{1},{5}]=>[{5},{1},{3,4},{2},{6}]=>[1,1,2,1,1]
[{5},{2},{3,6},{1},{4}]=>[{4},{1},{3,6},{2},{5}]=>[1,1,2,1,1]
[{6},{2},{3,5},{1},{4}]=>[{4},{1},{3,5},{2},{6}]=>[1,1,2,1,1]
[{4},{2},{5,6},{1},{3}]=>[{3},{1},{5,6},{2},{4}]=>[1,1,2,1,1]
[{5},{2},{4,6},{1},{3}]=>[{3},{1},{4,6},{2},{5}]=>[1,1,2,1,1]
[{6},{2},{4,5},{1},{3}]=>[{3},{1},{4,5},{2},{6}]=>[1,1,2,1,1]
[{3},{4},{2,5},{1},{6}]=>[{6},{1},{2,5},{4},{3}]=>[1,1,2,1,1]
[{3},{4},{2,6},{1},{5}]=>[{5},{1},{2,6},{4},{3}]=>[1,1,2,1,1]
[{3},{5},{2,4},{1},{6}]=>[{6},{1},{2,4},{5},{3}]=>[1,1,2,1,1]
[{3},{6},{2,4},{1},{5}]=>[{5},{1},{2,4},{6},{3}]=>[1,1,2,1,1]
[{3},{5},{2,6},{1},{4}]=>[{4},{1},{2,6},{5},{3}]=>[1,1,2,1,1]
[{3},{6},{2,5},{1},{4}]=>[{4},{1},{2,5},{6},{3}]=>[1,1,2,1,1]
[{4},{3},{2,5},{1},{6}]=>[{6},{1},{2,5},{3},{4}]=>[1,1,2,1,1]
[{4},{3},{2,6},{1},{5}]=>[{5},{1},{2,6},{3},{4}]=>[1,1,2,1,1]
[{5},{3},{2,4},{1},{6}]=>[{6},{1},{2,4},{3},{5}]=>[1,1,2,1,1]
[{6},{3},{2,4},{1},{5}]=>[{5},{1},{2,4},{3},{6}]=>[1,1,2,1,1]
[{5},{3},{2,6},{1},{4}]=>[{4},{1},{2,6},{3},{5}]=>[1,1,2,1,1]
[{6},{3},{2,5},{1},{4}]=>[{4},{1},{2,5},{3},{6}]=>[1,1,2,1,1]
[{4},{5},{2,3},{1},{6}]=>[{6},{1},{2,3},{5},{4}]=>[1,1,2,1,1]
[{4},{6},{2,3},{1},{5}]=>[{5},{1},{2,3},{6},{4}]=>[1,1,2,1,1]
[{5},{4},{2,3},{1},{6}]=>[{6},{1},{2,3},{4},{5}]=>[1,1,2,1,1]
[{6},{4},{2,3},{1},{5}]=>[{5},{1},{2,3},{4},{6}]=>[1,1,2,1,1]
[{5},{6},{2,3},{1},{4}]=>[{4},{1},{2,3},{6},{5}]=>[1,1,2,1,1]
[{6},{5},{2,3},{1},{4}]=>[{4},{1},{2,3},{5},{6}]=>[1,1,2,1,1]
[{4},{5},{2,6},{1},{3}]=>[{3},{1},{2,6},{5},{4}]=>[1,1,2,1,1]
[{4},{6},{2,5},{1},{3}]=>[{3},{1},{2,5},{6},{4}]=>[1,1,2,1,1]
[{5},{4},{2,6},{1},{3}]=>[{3},{1},{2,6},{4},{5}]=>[1,1,2,1,1]
[{6},{4},{2,5},{1},{3}]=>[{3},{1},{2,5},{4},{6}]=>[1,1,2,1,1]
[{5},{6},{2,4},{1},{3}]=>[{3},{1},{2,4},{6},{5}]=>[1,1,2,1,1]
[{6},{5},{2,4},{1},{3}]=>[{3},{1},{2,4},{5},{6}]=>[1,1,2,1,1]
[{3},{4},{5,6},{1},{2}]=>[{2},{1},{5,6},{4},{3}]=>[1,1,2,1,1]
[{3},{5},{4,6},{1},{2}]=>[{2},{1},{4,6},{5},{3}]=>[1,1,2,1,1]
[{3},{6},{4,5},{1},{2}]=>[{2},{1},{4,5},{6},{3}]=>[1,1,2,1,1]
[{4},{3},{5,6},{1},{2}]=>[{2},{1},{5,6},{3},{4}]=>[1,1,2,1,1]
[{5},{3},{4,6},{1},{2}]=>[{2},{1},{4,6},{3},{5}]=>[1,1,2,1,1]
[{6},{3},{4,5},{1},{2}]=>[{2},{1},{4,5},{3},{6}]=>[1,1,2,1,1]
[{4},{5},{3,6},{1},{2}]=>[{2},{1},{3,6},{5},{4}]=>[1,1,2,1,1]
[{4},{6},{3,5},{1},{2}]=>[{2},{1},{3,5},{6},{4}]=>[1,1,2,1,1]
[{5},{4},{3,6},{1},{2}]=>[{2},{1},{3,6},{4},{5}]=>[1,1,2,1,1]
[{6},{4},{3,5},{1},{2}]=>[{2},{1},{3,5},{4},{6}]=>[1,1,2,1,1]
[{5},{6},{3,4},{1},{2}]=>[{2},{1},{3,4},{6},{5}]=>[1,1,2,1,1]
[{6},{5},{3,4},{1},{2}]=>[{2},{1},{3,4},{5},{6}]=>[1,1,2,1,1]
[{2},{3},{4,5},{6},{1}]=>[{1},{6},{4,5},{3},{2}]=>[1,1,2,1,1]
[{2},{3},{4,6},{5},{1}]=>[{1},{5},{4,6},{3},{2}]=>[1,1,2,1,1]
[{2},{3},{5,6},{4},{1}]=>[{1},{4},{5,6},{3},{2}]=>[1,1,2,1,1]
[{2},{4},{3,5},{6},{1}]=>[{1},{6},{3,5},{4},{2}]=>[1,1,2,1,1]
[{2},{4},{3,6},{5},{1}]=>[{1},{5},{3,6},{4},{2}]=>[1,1,2,1,1]
[{2},{5},{3,4},{6},{1}]=>[{1},{6},{3,4},{5},{2}]=>[1,1,2,1,1]
[{2},{6},{3,4},{5},{1}]=>[{1},{5},{3,4},{6},{2}]=>[1,1,2,1,1]
[{2},{5},{3,6},{4},{1}]=>[{1},{4},{3,6},{5},{2}]=>[1,1,2,1,1]
[{2},{6},{3,5},{4},{1}]=>[{1},{4},{3,5},{6},{2}]=>[1,1,2,1,1]
[{2},{4},{5,6},{3},{1}]=>[{1},{3},{5,6},{4},{2}]=>[1,1,2,1,1]
[{2},{5},{4,6},{3},{1}]=>[{1},{3},{4,6},{5},{2}]=>[1,1,2,1,1]
[{2},{6},{4,5},{3},{1}]=>[{1},{3},{4,5},{6},{2}]=>[1,1,2,1,1]
[{3},{2},{4,5},{6},{1}]=>[{1},{6},{4,5},{2},{3}]=>[1,1,2,1,1]
[{3},{2},{4,6},{5},{1}]=>[{1},{5},{4,6},{2},{3}]=>[1,1,2,1,1]
[{3},{2},{5,6},{4},{1}]=>[{1},{4},{5,6},{2},{3}]=>[1,1,2,1,1]
[{4},{2},{3,5},{6},{1}]=>[{1},{6},{3,5},{2},{4}]=>[1,1,2,1,1]
[{4},{2},{3,6},{5},{1}]=>[{1},{5},{3,6},{2},{4}]=>[1,1,2,1,1]
[{5},{2},{3,4},{6},{1}]=>[{1},{6},{3,4},{2},{5}]=>[1,1,2,1,1]
[{6},{2},{3,4},{5},{1}]=>[{1},{5},{3,4},{2},{6}]=>[1,1,2,1,1]
[{5},{2},{3,6},{4},{1}]=>[{1},{4},{3,6},{2},{5}]=>[1,1,2,1,1]
[{6},{2},{3,5},{4},{1}]=>[{1},{4},{3,5},{2},{6}]=>[1,1,2,1,1]
[{4},{2},{5,6},{3},{1}]=>[{1},{3},{5,6},{2},{4}]=>[1,1,2,1,1]
[{5},{2},{4,6},{3},{1}]=>[{1},{3},{4,6},{2},{5}]=>[1,1,2,1,1]
[{6},{2},{4,5},{3},{1}]=>[{1},{3},{4,5},{2},{6}]=>[1,1,2,1,1]
[{3},{4},{2,5},{6},{1}]=>[{1},{6},{2,5},{4},{3}]=>[1,1,2,1,1]
[{3},{4},{2,6},{5},{1}]=>[{1},{5},{2,6},{4},{3}]=>[1,1,2,1,1]
[{3},{5},{2,4},{6},{1}]=>[{1},{6},{2,4},{5},{3}]=>[1,1,2,1,1]
[{3},{6},{2,4},{5},{1}]=>[{1},{5},{2,4},{6},{3}]=>[1,1,2,1,1]
[{3},{5},{2,6},{4},{1}]=>[{1},{4},{2,6},{5},{3}]=>[1,1,2,1,1]
[{3},{6},{2,5},{4},{1}]=>[{1},{4},{2,5},{6},{3}]=>[1,1,2,1,1]
[{4},{3},{2,5},{6},{1}]=>[{1},{6},{2,5},{3},{4}]=>[1,1,2,1,1]
[{4},{3},{2,6},{5},{1}]=>[{1},{5},{2,6},{3},{4}]=>[1,1,2,1,1]
[{5},{3},{2,4},{6},{1}]=>[{1},{6},{2,4},{3},{5}]=>[1,1,2,1,1]
[{6},{3},{2,4},{5},{1}]=>[{1},{5},{2,4},{3},{6}]=>[1,1,2,1,1]
[{5},{3},{2,6},{4},{1}]=>[{1},{4},{2,6},{3},{5}]=>[1,1,2,1,1]
[{6},{3},{2,5},{4},{1}]=>[{1},{4},{2,5},{3},{6}]=>[1,1,2,1,1]
[{4},{5},{2,3},{6},{1}]=>[{1},{6},{2,3},{5},{4}]=>[1,1,2,1,1]
[{4},{6},{2,3},{5},{1}]=>[{1},{5},{2,3},{6},{4}]=>[1,1,2,1,1]
[{5},{4},{2,3},{6},{1}]=>[{1},{6},{2,3},{4},{5}]=>[1,1,2,1,1]
[{6},{4},{2,3},{5},{1}]=>[{1},{5},{2,3},{4},{6}]=>[1,1,2,1,1]
[{5},{6},{2,3},{4},{1}]=>[{1},{4},{2,3},{6},{5}]=>[1,1,2,1,1]
[{6},{5},{2,3},{4},{1}]=>[{1},{4},{2,3},{5},{6}]=>[1,1,2,1,1]
[{4},{5},{2,6},{3},{1}]=>[{1},{3},{2,6},{5},{4}]=>[1,1,2,1,1]
[{4},{6},{2,5},{3},{1}]=>[{1},{3},{2,5},{6},{4}]=>[1,1,2,1,1]
[{5},{4},{2,6},{3},{1}]=>[{1},{3},{2,6},{4},{5}]=>[1,1,2,1,1]
[{6},{4},{2,5},{3},{1}]=>[{1},{3},{2,5},{4},{6}]=>[1,1,2,1,1]
[{5},{6},{2,4},{3},{1}]=>[{1},{3},{2,4},{6},{5}]=>[1,1,2,1,1]
[{6},{5},{2,4},{3},{1}]=>[{1},{3},{2,4},{5},{6}]=>[1,1,2,1,1]
[{3},{4},{5,6},{2},{1}]=>[{1},{2},{5,6},{4},{3}]=>[1,1,2,1,1]
[{3},{5},{4,6},{2},{1}]=>[{1},{2},{4,6},{5},{3}]=>[1,1,2,1,1]
[{3},{6},{4,5},{2},{1}]=>[{1},{2},{4,5},{6},{3}]=>[1,1,2,1,1]
[{4},{3},{5,6},{2},{1}]=>[{1},{2},{5,6},{3},{4}]=>[1,1,2,1,1]
[{5},{3},{4,6},{2},{1}]=>[{1},{2},{4,6},{3},{5}]=>[1,1,2,1,1]
[{6},{3},{4,5},{2},{1}]=>[{1},{2},{4,5},{3},{6}]=>[1,1,2,1,1]
[{4},{5},{3,6},{2},{1}]=>[{1},{2},{3,6},{5},{4}]=>[1,1,2,1,1]
[{4},{6},{3,5},{2},{1}]=>[{1},{2},{3,5},{6},{4}]=>[1,1,2,1,1]
[{5},{4},{3,6},{2},{1}]=>[{1},{2},{3,6},{4},{5}]=>[1,1,2,1,1]
[{6},{4},{3,5},{2},{1}]=>[{1},{2},{3,5},{4},{6}]=>[1,1,2,1,1]
[{5},{6},{3,4},{2},{1}]=>[{1},{2},{3,4},{6},{5}]=>[1,1,2,1,1]
[{6},{5},{3,4},{2},{1}]=>[{1},{2},{3,4},{5},{6}]=>[1,1,2,1,1]
[{1},{2},{3,4},{5,6}]=>[{5,6},{3,4},{2},{1}]=>[2,2,1,1]
[{1},{2},{3,5},{4,6}]=>[{4,6},{3,5},{2},{1}]=>[2,2,1,1]
[{1},{2},{3,6},{4,5}]=>[{4,5},{3,6},{2},{1}]=>[2,2,1,1]
[{1},{2},{4,5},{3,6}]=>[{3,6},{4,5},{2},{1}]=>[2,2,1,1]
[{1},{2},{4,6},{3,5}]=>[{3,5},{4,6},{2},{1}]=>[2,2,1,1]
[{1},{2},{5,6},{3,4}]=>[{3,4},{5,6},{2},{1}]=>[2,2,1,1]
[{1},{3},{2,4},{5,6}]=>[{5,6},{2,4},{3},{1}]=>[2,2,1,1]
[{1},{3},{2,5},{4,6}]=>[{4,6},{2,5},{3},{1}]=>[2,2,1,1]
[{1},{3},{2,6},{4,5}]=>[{4,5},{2,6},{3},{1}]=>[2,2,1,1]
[{1},{4},{2,3},{5,6}]=>[{5,6},{2,3},{4},{1}]=>[2,2,1,1]
[{1},{5},{2,3},{4,6}]=>[{4,6},{2,3},{5},{1}]=>[2,2,1,1]
[{1},{6},{2,3},{4,5}]=>[{4,5},{2,3},{6},{1}]=>[2,2,1,1]
[{1},{4},{2,5},{3,6}]=>[{3,6},{2,5},{4},{1}]=>[2,2,1,1]
[{1},{4},{2,6},{3,5}]=>[{3,5},{2,6},{4},{1}]=>[2,2,1,1]
[{1},{5},{2,4},{3,6}]=>[{3,6},{2,4},{5},{1}]=>[2,2,1,1]
[{1},{6},{2,4},{3,5}]=>[{3,5},{2,4},{6},{1}]=>[2,2,1,1]
[{1},{5},{2,6},{3,4}]=>[{3,4},{2,6},{5},{1}]=>[2,2,1,1]
[{1},{6},{2,5},{3,4}]=>[{3,4},{2,5},{6},{1}]=>[2,2,1,1]
[{1},{3},{4,5},{2,6}]=>[{2,6},{4,5},{3},{1}]=>[2,2,1,1]
[{1},{3},{4,6},{2,5}]=>[{2,5},{4,6},{3},{1}]=>[2,2,1,1]
[{1},{3},{5,6},{2,4}]=>[{2,4},{5,6},{3},{1}]=>[2,2,1,1]
[{1},{4},{3,5},{2,6}]=>[{2,6},{3,5},{4},{1}]=>[2,2,1,1]
[{1},{4},{3,6},{2,5}]=>[{2,5},{3,6},{4},{1}]=>[2,2,1,1]
[{1},{5},{3,4},{2,6}]=>[{2,6},{3,4},{5},{1}]=>[2,2,1,1]
[{1},{6},{3,4},{2,5}]=>[{2,5},{3,4},{6},{1}]=>[2,2,1,1]
[{1},{5},{3,6},{2,4}]=>[{2,4},{3,6},{5},{1}]=>[2,2,1,1]
[{1},{6},{3,5},{2,4}]=>[{2,4},{3,5},{6},{1}]=>[2,2,1,1]
[{1},{4},{5,6},{2,3}]=>[{2,3},{5,6},{4},{1}]=>[2,2,1,1]
[{1},{5},{4,6},{2,3}]=>[{2,3},{4,6},{5},{1}]=>[2,2,1,1]
[{1},{6},{4,5},{2,3}]=>[{2,3},{4,5},{6},{1}]=>[2,2,1,1]
[{2},{1},{3,4},{5,6}]=>[{5,6},{3,4},{1},{2}]=>[2,2,1,1]
[{2},{1},{3,5},{4,6}]=>[{4,6},{3,5},{1},{2}]=>[2,2,1,1]
[{2},{1},{3,6},{4,5}]=>[{4,5},{3,6},{1},{2}]=>[2,2,1,1]
[{2},{1},{4,5},{3,6}]=>[{3,6},{4,5},{1},{2}]=>[2,2,1,1]
[{2},{1},{4,6},{3,5}]=>[{3,5},{4,6},{1},{2}]=>[2,2,1,1]
[{2},{1},{5,6},{3,4}]=>[{3,4},{5,6},{1},{2}]=>[2,2,1,1]
[{3},{1},{2,4},{5,6}]=>[{5,6},{2,4},{1},{3}]=>[2,2,1,1]
[{3},{1},{2,5},{4,6}]=>[{4,6},{2,5},{1},{3}]=>[2,2,1,1]
[{3},{1},{2,6},{4,5}]=>[{4,5},{2,6},{1},{3}]=>[2,2,1,1]
[{4},{1},{2,3},{5,6}]=>[{5,6},{2,3},{1},{4}]=>[2,2,1,1]
[{5},{1},{2,3},{4,6}]=>[{4,6},{2,3},{1},{5}]=>[2,2,1,1]
[{6},{1},{2,3},{4,5}]=>[{4,5},{2,3},{1},{6}]=>[2,2,1,1]
[{4},{1},{2,5},{3,6}]=>[{3,6},{2,5},{1},{4}]=>[2,2,1,1]
[{4},{1},{2,6},{3,5}]=>[{3,5},{2,6},{1},{4}]=>[2,2,1,1]
[{5},{1},{2,4},{3,6}]=>[{3,6},{2,4},{1},{5}]=>[2,2,1,1]
[{6},{1},{2,4},{3,5}]=>[{3,5},{2,4},{1},{6}]=>[2,2,1,1]
[{5},{1},{2,6},{3,4}]=>[{3,4},{2,6},{1},{5}]=>[2,2,1,1]
[{6},{1},{2,5},{3,4}]=>[{3,4},{2,5},{1},{6}]=>[2,2,1,1]
[{3},{1},{4,5},{2,6}]=>[{2,6},{4,5},{1},{3}]=>[2,2,1,1]
[{3},{1},{4,6},{2,5}]=>[{2,5},{4,6},{1},{3}]=>[2,2,1,1]
[{3},{1},{5,6},{2,4}]=>[{2,4},{5,6},{1},{3}]=>[2,2,1,1]
[{4},{1},{3,5},{2,6}]=>[{2,6},{3,5},{1},{4}]=>[2,2,1,1]
[{4},{1},{3,6},{2,5}]=>[{2,5},{3,6},{1},{4}]=>[2,2,1,1]
[{5},{1},{3,4},{2,6}]=>[{2,6},{3,4},{1},{5}]=>[2,2,1,1]
[{6},{1},{3,4},{2,5}]=>[{2,5},{3,4},{1},{6}]=>[2,2,1,1]
[{5},{1},{3,6},{2,4}]=>[{2,4},{3,6},{1},{5}]=>[2,2,1,1]
[{6},{1},{3,5},{2,4}]=>[{2,4},{3,5},{1},{6}]=>[2,2,1,1]
[{4},{1},{5,6},{2,3}]=>[{2,3},{5,6},{1},{4}]=>[2,2,1,1]
[{5},{1},{4,6},{2,3}]=>[{2,3},{4,6},{1},{5}]=>[2,2,1,1]
[{6},{1},{4,5},{2,3}]=>[{2,3},{4,5},{1},{6}]=>[2,2,1,1]
[{2},{3},{1,4},{5,6}]=>[{5,6},{1,4},{3},{2}]=>[2,2,1,1]
[{2},{3},{1,5},{4,6}]=>[{4,6},{1,5},{3},{2}]=>[2,2,1,1]
[{2},{3},{1,6},{4,5}]=>[{4,5},{1,6},{3},{2}]=>[2,2,1,1]
[{2},{4},{1,3},{5,6}]=>[{5,6},{1,3},{4},{2}]=>[2,2,1,1]
[{2},{5},{1,3},{4,6}]=>[{4,6},{1,3},{5},{2}]=>[2,2,1,1]
[{2},{6},{1,3},{4,5}]=>[{4,5},{1,3},{6},{2}]=>[2,2,1,1]
[{2},{4},{1,5},{3,6}]=>[{3,6},{1,5},{4},{2}]=>[2,2,1,1]
[{2},{4},{1,6},{3,5}]=>[{3,5},{1,6},{4},{2}]=>[2,2,1,1]
[{2},{5},{1,4},{3,6}]=>[{3,6},{1,4},{5},{2}]=>[2,2,1,1]
[{2},{6},{1,4},{3,5}]=>[{3,5},{1,4},{6},{2}]=>[2,2,1,1]
[{2},{5},{1,6},{3,4}]=>[{3,4},{1,6},{5},{2}]=>[2,2,1,1]
[{2},{6},{1,5},{3,4}]=>[{3,4},{1,5},{6},{2}]=>[2,2,1,1]
[{3},{2},{1,4},{5,6}]=>[{5,6},{1,4},{2},{3}]=>[2,2,1,1]
[{3},{2},{1,5},{4,6}]=>[{4,6},{1,5},{2},{3}]=>[2,2,1,1]
[{3},{2},{1,6},{4,5}]=>[{4,5},{1,6},{2},{3}]=>[2,2,1,1]
[{4},{2},{1,3},{5,6}]=>[{5,6},{1,3},{2},{4}]=>[2,2,1,1]
[{5},{2},{1,3},{4,6}]=>[{4,6},{1,3},{2},{5}]=>[2,2,1,1]
[{6},{2},{1,3},{4,5}]=>[{4,5},{1,3},{2},{6}]=>[2,2,1,1]
[{4},{2},{1,5},{3,6}]=>[{3,6},{1,5},{2},{4}]=>[2,2,1,1]
[{4},{2},{1,6},{3,5}]=>[{3,5},{1,6},{2},{4}]=>[2,2,1,1]
[{5},{2},{1,4},{3,6}]=>[{3,6},{1,4},{2},{5}]=>[2,2,1,1]
[{6},{2},{1,4},{3,5}]=>[{3,5},{1,4},{2},{6}]=>[2,2,1,1]
[{5},{2},{1,6},{3,4}]=>[{3,4},{1,6},{2},{5}]=>[2,2,1,1]
[{6},{2},{1,5},{3,4}]=>[{3,4},{1,5},{2},{6}]=>[2,2,1,1]
[{3},{4},{1,2},{5,6}]=>[{5,6},{1,2},{4},{3}]=>[2,2,1,1]
[{3},{5},{1,2},{4,6}]=>[{4,6},{1,2},{5},{3}]=>[2,2,1,1]
[{3},{6},{1,2},{4,5}]=>[{4,5},{1,2},{6},{3}]=>[2,2,1,1]
[{4},{3},{1,2},{5,6}]=>[{5,6},{1,2},{3},{4}]=>[2,2,1,1]
[{5},{3},{1,2},{4,6}]=>[{4,6},{1,2},{3},{5}]=>[2,2,1,1]
[{6},{3},{1,2},{4,5}]=>[{4,5},{1,2},{3},{6}]=>[2,2,1,1]
[{4},{5},{1,2},{3,6}]=>[{3,6},{1,2},{5},{4}]=>[2,2,1,1]
[{4},{6},{1,2},{3,5}]=>[{3,5},{1,2},{6},{4}]=>[2,2,1,1]
[{5},{4},{1,2},{3,6}]=>[{3,6},{1,2},{4},{5}]=>[2,2,1,1]
[{6},{4},{1,2},{3,5}]=>[{3,5},{1,2},{4},{6}]=>[2,2,1,1]
[{5},{6},{1,2},{3,4}]=>[{3,4},{1,2},{6},{5}]=>[2,2,1,1]
[{6},{5},{1,2},{3,4}]=>[{3,4},{1,2},{5},{6}]=>[2,2,1,1]
[{3},{4},{1,5},{2,6}]=>[{2,6},{1,5},{4},{3}]=>[2,2,1,1]
[{3},{4},{1,6},{2,5}]=>[{2,5},{1,6},{4},{3}]=>[2,2,1,1]
[{3},{5},{1,4},{2,6}]=>[{2,6},{1,4},{5},{3}]=>[2,2,1,1]
[{3},{6},{1,4},{2,5}]=>[{2,5},{1,4},{6},{3}]=>[2,2,1,1]
[{3},{5},{1,6},{2,4}]=>[{2,4},{1,6},{5},{3}]=>[2,2,1,1]
[{3},{6},{1,5},{2,4}]=>[{2,4},{1,5},{6},{3}]=>[2,2,1,1]
[{4},{3},{1,5},{2,6}]=>[{2,6},{1,5},{3},{4}]=>[2,2,1,1]
[{4},{3},{1,6},{2,5}]=>[{2,5},{1,6},{3},{4}]=>[2,2,1,1]
[{5},{3},{1,4},{2,6}]=>[{2,6},{1,4},{3},{5}]=>[2,2,1,1]
[{6},{3},{1,4},{2,5}]=>[{2,5},{1,4},{3},{6}]=>[2,2,1,1]
[{5},{3},{1,6},{2,4}]=>[{2,4},{1,6},{3},{5}]=>[2,2,1,1]
[{6},{3},{1,5},{2,4}]=>[{2,4},{1,5},{3},{6}]=>[2,2,1,1]
[{4},{5},{1,3},{2,6}]=>[{2,6},{1,3},{5},{4}]=>[2,2,1,1]
[{4},{6},{1,3},{2,5}]=>[{2,5},{1,3},{6},{4}]=>[2,2,1,1]
[{5},{4},{1,3},{2,6}]=>[{2,6},{1,3},{4},{5}]=>[2,2,1,1]
[{6},{4},{1,3},{2,5}]=>[{2,5},{1,3},{4},{6}]=>[2,2,1,1]
[{5},{6},{1,3},{2,4}]=>[{2,4},{1,3},{6},{5}]=>[2,2,1,1]
[{6},{5},{1,3},{2,4}]=>[{2,4},{1,3},{5},{6}]=>[2,2,1,1]
[{4},{5},{1,6},{2,3}]=>[{2,3},{1,6},{5},{4}]=>[2,2,1,1]
[{4},{6},{1,5},{2,3}]=>[{2,3},{1,5},{6},{4}]=>[2,2,1,1]
[{5},{4},{1,6},{2,3}]=>[{2,3},{1,6},{4},{5}]=>[2,2,1,1]
[{6},{4},{1,5},{2,3}]=>[{2,3},{1,5},{4},{6}]=>[2,2,1,1]
[{5},{6},{1,4},{2,3}]=>[{2,3},{1,4},{6},{5}]=>[2,2,1,1]
[{6},{5},{1,4},{2,3}]=>[{2,3},{1,4},{5},{6}]=>[2,2,1,1]
[{2},{3},{4,5},{1,6}]=>[{1,6},{4,5},{3},{2}]=>[2,2,1,1]
[{2},{3},{4,6},{1,5}]=>[{1,5},{4,6},{3},{2}]=>[2,2,1,1]
[{2},{3},{5,6},{1,4}]=>[{1,4},{5,6},{3},{2}]=>[2,2,1,1]
[{2},{4},{3,5},{1,6}]=>[{1,6},{3,5},{4},{2}]=>[2,2,1,1]
[{2},{4},{3,6},{1,5}]=>[{1,5},{3,6},{4},{2}]=>[2,2,1,1]
[{2},{5},{3,4},{1,6}]=>[{1,6},{3,4},{5},{2}]=>[2,2,1,1]
[{2},{6},{3,4},{1,5}]=>[{1,5},{3,4},{6},{2}]=>[2,2,1,1]
[{2},{5},{3,6},{1,4}]=>[{1,4},{3,6},{5},{2}]=>[2,2,1,1]
[{2},{6},{3,5},{1,4}]=>[{1,4},{3,5},{6},{2}]=>[2,2,1,1]
[{2},{4},{5,6},{1,3}]=>[{1,3},{5,6},{4},{2}]=>[2,2,1,1]
[{2},{5},{4,6},{1,3}]=>[{1,3},{4,6},{5},{2}]=>[2,2,1,1]
[{2},{6},{4,5},{1,3}]=>[{1,3},{4,5},{6},{2}]=>[2,2,1,1]
[{3},{2},{4,5},{1,6}]=>[{1,6},{4,5},{2},{3}]=>[2,2,1,1]
[{3},{2},{4,6},{1,5}]=>[{1,5},{4,6},{2},{3}]=>[2,2,1,1]
[{3},{2},{5,6},{1,4}]=>[{1,4},{5,6},{2},{3}]=>[2,2,1,1]
[{4},{2},{3,5},{1,6}]=>[{1,6},{3,5},{2},{4}]=>[2,2,1,1]
[{4},{2},{3,6},{1,5}]=>[{1,5},{3,6},{2},{4}]=>[2,2,1,1]
[{5},{2},{3,4},{1,6}]=>[{1,6},{3,4},{2},{5}]=>[2,2,1,1]
[{6},{2},{3,4},{1,5}]=>[{1,5},{3,4},{2},{6}]=>[2,2,1,1]
[{5},{2},{3,6},{1,4}]=>[{1,4},{3,6},{2},{5}]=>[2,2,1,1]
[{6},{2},{3,5},{1,4}]=>[{1,4},{3,5},{2},{6}]=>[2,2,1,1]
[{4},{2},{5,6},{1,3}]=>[{1,3},{5,6},{2},{4}]=>[2,2,1,1]
[{5},{2},{4,6},{1,3}]=>[{1,3},{4,6},{2},{5}]=>[2,2,1,1]
[{6},{2},{4,5},{1,3}]=>[{1,3},{4,5},{2},{6}]=>[2,2,1,1]
[{3},{4},{2,5},{1,6}]=>[{1,6},{2,5},{4},{3}]=>[2,2,1,1]
[{3},{4},{2,6},{1,5}]=>[{1,5},{2,6},{4},{3}]=>[2,2,1,1]
[{3},{5},{2,4},{1,6}]=>[{1,6},{2,4},{5},{3}]=>[2,2,1,1]
[{3},{6},{2,4},{1,5}]=>[{1,5},{2,4},{6},{3}]=>[2,2,1,1]
[{3},{5},{2,6},{1,4}]=>[{1,4},{2,6},{5},{3}]=>[2,2,1,1]
[{3},{6},{2,5},{1,4}]=>[{1,4},{2,5},{6},{3}]=>[2,2,1,1]
[{4},{3},{2,5},{1,6}]=>[{1,6},{2,5},{3},{4}]=>[2,2,1,1]
[{4},{3},{2,6},{1,5}]=>[{1,5},{2,6},{3},{4}]=>[2,2,1,1]
[{5},{3},{2,4},{1,6}]=>[{1,6},{2,4},{3},{5}]=>[2,2,1,1]
[{6},{3},{2,4},{1,5}]=>[{1,5},{2,4},{3},{6}]=>[2,2,1,1]
[{5},{3},{2,6},{1,4}]=>[{1,4},{2,6},{3},{5}]=>[2,2,1,1]
[{6},{3},{2,5},{1,4}]=>[{1,4},{2,5},{3},{6}]=>[2,2,1,1]
[{4},{5},{2,3},{1,6}]=>[{1,6},{2,3},{5},{4}]=>[2,2,1,1]
[{4},{6},{2,3},{1,5}]=>[{1,5},{2,3},{6},{4}]=>[2,2,1,1]
[{5},{4},{2,3},{1,6}]=>[{1,6},{2,3},{4},{5}]=>[2,2,1,1]
[{6},{4},{2,3},{1,5}]=>[{1,5},{2,3},{4},{6}]=>[2,2,1,1]
[{5},{6},{2,3},{1,4}]=>[{1,4},{2,3},{6},{5}]=>[2,2,1,1]
[{6},{5},{2,3},{1,4}]=>[{1,4},{2,3},{5},{6}]=>[2,2,1,1]
[{4},{5},{2,6},{1,3}]=>[{1,3},{2,6},{5},{4}]=>[2,2,1,1]
[{4},{6},{2,5},{1,3}]=>[{1,3},{2,5},{6},{4}]=>[2,2,1,1]
[{5},{4},{2,6},{1,3}]=>[{1,3},{2,6},{4},{5}]=>[2,2,1,1]
[{6},{4},{2,5},{1,3}]=>[{1,3},{2,5},{4},{6}]=>[2,2,1,1]
[{5},{6},{2,4},{1,3}]=>[{1,3},{2,4},{6},{5}]=>[2,2,1,1]
[{6},{5},{2,4},{1,3}]=>[{1,3},{2,4},{5},{6}]=>[2,2,1,1]
[{3},{4},{5,6},{1,2}]=>[{1,2},{5,6},{4},{3}]=>[2,2,1,1]
[{3},{5},{4,6},{1,2}]=>[{1,2},{4,6},{5},{3}]=>[2,2,1,1]
[{3},{6},{4,5},{1,2}]=>[{1,2},{4,5},{6},{3}]=>[2,2,1,1]
[{4},{3},{5,6},{1,2}]=>[{1,2},{5,6},{3},{4}]=>[2,2,1,1]
[{5},{3},{4,6},{1,2}]=>[{1,2},{4,6},{3},{5}]=>[2,2,1,1]
[{6},{3},{4,5},{1,2}]=>[{1,2},{4,5},{3},{6}]=>[2,2,1,1]
[{4},{5},{3,6},{1,2}]=>[{1,2},{3,6},{5},{4}]=>[2,2,1,1]
[{4},{6},{3,5},{1,2}]=>[{1,2},{3,5},{6},{4}]=>[2,2,1,1]
[{5},{4},{3,6},{1,2}]=>[{1,2},{3,6},{4},{5}]=>[2,2,1,1]
[{6},{4},{3,5},{1,2}]=>[{1,2},{3,5},{4},{6}]=>[2,2,1,1]
[{5},{6},{3,4},{1,2}]=>[{1,2},{3,4},{6},{5}]=>[2,2,1,1]
[{6},{5},{3,4},{1,2}]=>[{1,2},{3,4},{5},{6}]=>[2,2,1,1]
[{1},{2},{3,4,5},{6}]=>[{6},{3,4,5},{2},{1}]=>[1,3,1,1]
[{1},{2},{3,4,6},{5}]=>[{5},{3,4,6},{2},{1}]=>[1,3,1,1]
[{1},{2},{3,5,6},{4}]=>[{4},{3,5,6},{2},{1}]=>[1,3,1,1]
[{1},{2},{4,5,6},{3}]=>[{3},{4,5,6},{2},{1}]=>[1,3,1,1]
[{1},{3},{2,4,5},{6}]=>[{6},{2,4,5},{3},{1}]=>[1,3,1,1]
[{1},{3},{2,4,6},{5}]=>[{5},{2,4,6},{3},{1}]=>[1,3,1,1]
[{1},{3},{2,5,6},{4}]=>[{4},{2,5,6},{3},{1}]=>[1,3,1,1]
[{1},{4},{2,3,5},{6}]=>[{6},{2,3,5},{4},{1}]=>[1,3,1,1]
[{1},{4},{2,3,6},{5}]=>[{5},{2,3,6},{4},{1}]=>[1,3,1,1]
[{1},{5},{2,3,4},{6}]=>[{6},{2,3,4},{5},{1}]=>[1,3,1,1]
[{1},{6},{2,3,4},{5}]=>[{5},{2,3,4},{6},{1}]=>[1,3,1,1]
[{1},{5},{2,3,6},{4}]=>[{4},{2,3,6},{5},{1}]=>[1,3,1,1]
[{1},{6},{2,3,5},{4}]=>[{4},{2,3,5},{6},{1}]=>[1,3,1,1]
[{1},{4},{2,5,6},{3}]=>[{3},{2,5,6},{4},{1}]=>[1,3,1,1]
[{1},{5},{2,4,6},{3}]=>[{3},{2,4,6},{5},{1}]=>[1,3,1,1]
[{1},{6},{2,4,5},{3}]=>[{3},{2,4,5},{6},{1}]=>[1,3,1,1]
[{1},{3},{4,5,6},{2}]=>[{2},{4,5,6},{3},{1}]=>[1,3,1,1]
[{1},{4},{3,5,6},{2}]=>[{2},{3,5,6},{4},{1}]=>[1,3,1,1]
[{1},{5},{3,4,6},{2}]=>[{2},{3,4,6},{5},{1}]=>[1,3,1,1]
[{1},{6},{3,4,5},{2}]=>[{2},{3,4,5},{6},{1}]=>[1,3,1,1]
[{2},{1},{3,4,5},{6}]=>[{6},{3,4,5},{1},{2}]=>[1,3,1,1]
[{2},{1},{3,4,6},{5}]=>[{5},{3,4,6},{1},{2}]=>[1,3,1,1]
[{2},{1},{3,5,6},{4}]=>[{4},{3,5,6},{1},{2}]=>[1,3,1,1]
[{2},{1},{4,5,6},{3}]=>[{3},{4,5,6},{1},{2}]=>[1,3,1,1]
[{3},{1},{2,4,5},{6}]=>[{6},{2,4,5},{1},{3}]=>[1,3,1,1]
[{3},{1},{2,4,6},{5}]=>[{5},{2,4,6},{1},{3}]=>[1,3,1,1]
[{3},{1},{2,5,6},{4}]=>[{4},{2,5,6},{1},{3}]=>[1,3,1,1]
[{4},{1},{2,3,5},{6}]=>[{6},{2,3,5},{1},{4}]=>[1,3,1,1]
[{4},{1},{2,3,6},{5}]=>[{5},{2,3,6},{1},{4}]=>[1,3,1,1]
[{5},{1},{2,3,4},{6}]=>[{6},{2,3,4},{1},{5}]=>[1,3,1,1]
[{6},{1},{2,3,4},{5}]=>[{5},{2,3,4},{1},{6}]=>[1,3,1,1]
[{5},{1},{2,3,6},{4}]=>[{4},{2,3,6},{1},{5}]=>[1,3,1,1]
[{6},{1},{2,3,5},{4}]=>[{4},{2,3,5},{1},{6}]=>[1,3,1,1]
[{4},{1},{2,5,6},{3}]=>[{3},{2,5,6},{1},{4}]=>[1,3,1,1]
[{5},{1},{2,4,6},{3}]=>[{3},{2,4,6},{1},{5}]=>[1,3,1,1]
[{6},{1},{2,4,5},{3}]=>[{3},{2,4,5},{1},{6}]=>[1,3,1,1]
[{3},{1},{4,5,6},{2}]=>[{2},{4,5,6},{1},{3}]=>[1,3,1,1]
[{4},{1},{3,5,6},{2}]=>[{2},{3,5,6},{1},{4}]=>[1,3,1,1]
[{5},{1},{3,4,6},{2}]=>[{2},{3,4,6},{1},{5}]=>[1,3,1,1]
[{6},{1},{3,4,5},{2}]=>[{2},{3,4,5},{1},{6}]=>[1,3,1,1]
[{2},{3},{1,4,5},{6}]=>[{6},{1,4,5},{3},{2}]=>[1,3,1,1]
[{2},{3},{1,4,6},{5}]=>[{5},{1,4,6},{3},{2}]=>[1,3,1,1]
[{2},{3},{1,5,6},{4}]=>[{4},{1,5,6},{3},{2}]=>[1,3,1,1]
[{2},{4},{1,3,5},{6}]=>[{6},{1,3,5},{4},{2}]=>[1,3,1,1]
[{2},{4},{1,3,6},{5}]=>[{5},{1,3,6},{4},{2}]=>[1,3,1,1]
[{2},{5},{1,3,4},{6}]=>[{6},{1,3,4},{5},{2}]=>[1,3,1,1]
[{2},{6},{1,3,4},{5}]=>[{5},{1,3,4},{6},{2}]=>[1,3,1,1]
[{2},{5},{1,3,6},{4}]=>[{4},{1,3,6},{5},{2}]=>[1,3,1,1]
[{2},{6},{1,3,5},{4}]=>[{4},{1,3,5},{6},{2}]=>[1,3,1,1]
[{2},{4},{1,5,6},{3}]=>[{3},{1,5,6},{4},{2}]=>[1,3,1,1]
[{2},{5},{1,4,6},{3}]=>[{3},{1,4,6},{5},{2}]=>[1,3,1,1]
[{2},{6},{1,4,5},{3}]=>[{3},{1,4,5},{6},{2}]=>[1,3,1,1]
[{3},{2},{1,4,5},{6}]=>[{6},{1,4,5},{2},{3}]=>[1,3,1,1]
[{3},{2},{1,4,6},{5}]=>[{5},{1,4,6},{2},{3}]=>[1,3,1,1]
[{3},{2},{1,5,6},{4}]=>[{4},{1,5,6},{2},{3}]=>[1,3,1,1]
[{4},{2},{1,3,5},{6}]=>[{6},{1,3,5},{2},{4}]=>[1,3,1,1]
[{4},{2},{1,3,6},{5}]=>[{5},{1,3,6},{2},{4}]=>[1,3,1,1]
[{5},{2},{1,3,4},{6}]=>[{6},{1,3,4},{2},{5}]=>[1,3,1,1]
[{6},{2},{1,3,4},{5}]=>[{5},{1,3,4},{2},{6}]=>[1,3,1,1]
[{5},{2},{1,3,6},{4}]=>[{4},{1,3,6},{2},{5}]=>[1,3,1,1]
[{6},{2},{1,3,5},{4}]=>[{4},{1,3,5},{2},{6}]=>[1,3,1,1]
[{4},{2},{1,5,6},{3}]=>[{3},{1,5,6},{2},{4}]=>[1,3,1,1]
[{5},{2},{1,4,6},{3}]=>[{3},{1,4,6},{2},{5}]=>[1,3,1,1]
[{6},{2},{1,4,5},{3}]=>[{3},{1,4,5},{2},{6}]=>[1,3,1,1]
[{3},{4},{1,2,5},{6}]=>[{6},{1,2,5},{4},{3}]=>[1,3,1,1]
[{3},{4},{1,2,6},{5}]=>[{5},{1,2,6},{4},{3}]=>[1,3,1,1]
[{3},{5},{1,2,4},{6}]=>[{6},{1,2,4},{5},{3}]=>[1,3,1,1]
[{3},{6},{1,2,4},{5}]=>[{5},{1,2,4},{6},{3}]=>[1,3,1,1]
[{3},{5},{1,2,6},{4}]=>[{4},{1,2,6},{5},{3}]=>[1,3,1,1]
[{3},{6},{1,2,5},{4}]=>[{4},{1,2,5},{6},{3}]=>[1,3,1,1]
[{4},{3},{1,2,5},{6}]=>[{6},{1,2,5},{3},{4}]=>[1,3,1,1]
[{4},{3},{1,2,6},{5}]=>[{5},{1,2,6},{3},{4}]=>[1,3,1,1]
[{5},{3},{1,2,4},{6}]=>[{6},{1,2,4},{3},{5}]=>[1,3,1,1]
[{6},{3},{1,2,4},{5}]=>[{5},{1,2,4},{3},{6}]=>[1,3,1,1]
[{5},{3},{1,2,6},{4}]=>[{4},{1,2,6},{3},{5}]=>[1,3,1,1]
[{6},{3},{1,2,5},{4}]=>[{4},{1,2,5},{3},{6}]=>[1,3,1,1]
[{4},{5},{1,2,3},{6}]=>[{6},{1,2,3},{5},{4}]=>[1,3,1,1]
[{4},{6},{1,2,3},{5}]=>[{5},{1,2,3},{6},{4}]=>[1,3,1,1]
[{5},{4},{1,2,3},{6}]=>[{6},{1,2,3},{4},{5}]=>[1,3,1,1]
[{6},{4},{1,2,3},{5}]=>[{5},{1,2,3},{4},{6}]=>[1,3,1,1]
[{5},{6},{1,2,3},{4}]=>[{4},{1,2,3},{6},{5}]=>[1,3,1,1]
[{6},{5},{1,2,3},{4}]=>[{4},{1,2,3},{5},{6}]=>[1,3,1,1]
[{4},{5},{1,2,6},{3}]=>[{3},{1,2,6},{5},{4}]=>[1,3,1,1]
[{4},{6},{1,2,5},{3}]=>[{3},{1,2,5},{6},{4}]=>[1,3,1,1]
[{5},{4},{1,2,6},{3}]=>[{3},{1,2,6},{4},{5}]=>[1,3,1,1]
[{6},{4},{1,2,5},{3}]=>[{3},{1,2,5},{4},{6}]=>[1,3,1,1]
[{5},{6},{1,2,4},{3}]=>[{3},{1,2,4},{6},{5}]=>[1,3,1,1]
[{6},{5},{1,2,4},{3}]=>[{3},{1,2,4},{5},{6}]=>[1,3,1,1]
[{3},{4},{1,5,6},{2}]=>[{2},{1,5,6},{4},{3}]=>[1,3,1,1]
[{3},{5},{1,4,6},{2}]=>[{2},{1,4,6},{5},{3}]=>[1,3,1,1]
[{3},{6},{1,4,5},{2}]=>[{2},{1,4,5},{6},{3}]=>[1,3,1,1]
[{4},{3},{1,5,6},{2}]=>[{2},{1,5,6},{3},{4}]=>[1,3,1,1]
[{5},{3},{1,4,6},{2}]=>[{2},{1,4,6},{3},{5}]=>[1,3,1,1]
[{6},{3},{1,4,5},{2}]=>[{2},{1,4,5},{3},{6}]=>[1,3,1,1]
[{4},{5},{1,3,6},{2}]=>[{2},{1,3,6},{5},{4}]=>[1,3,1,1]
[{4},{6},{1,3,5},{2}]=>[{2},{1,3,5},{6},{4}]=>[1,3,1,1]
[{5},{4},{1,3,6},{2}]=>[{2},{1,3,6},{4},{5}]=>[1,3,1,1]
[{6},{4},{1,3,5},{2}]=>[{2},{1,3,5},{4},{6}]=>[1,3,1,1]
[{5},{6},{1,3,4},{2}]=>[{2},{1,3,4},{6},{5}]=>[1,3,1,1]
[{6},{5},{1,3,4},{2}]=>[{2},{1,3,4},{5},{6}]=>[1,3,1,1]
[{2},{3},{4,5,6},{1}]=>[{1},{4,5,6},{3},{2}]=>[1,3,1,1]
[{2},{4},{3,5,6},{1}]=>[{1},{3,5,6},{4},{2}]=>[1,3,1,1]
[{2},{5},{3,4,6},{1}]=>[{1},{3,4,6},{5},{2}]=>[1,3,1,1]
[{2},{6},{3,4,5},{1}]=>[{1},{3,4,5},{6},{2}]=>[1,3,1,1]
[{3},{2},{4,5,6},{1}]=>[{1},{4,5,6},{2},{3}]=>[1,3,1,1]
[{4},{2},{3,5,6},{1}]=>[{1},{3,5,6},{2},{4}]=>[1,3,1,1]
[{5},{2},{3,4,6},{1}]=>[{1},{3,4,6},{2},{5}]=>[1,3,1,1]
[{6},{2},{3,4,5},{1}]=>[{1},{3,4,5},{2},{6}]=>[1,3,1,1]
[{3},{4},{2,5,6},{1}]=>[{1},{2,5,6},{4},{3}]=>[1,3,1,1]
[{3},{5},{2,4,6},{1}]=>[{1},{2,4,6},{5},{3}]=>[1,3,1,1]
[{3},{6},{2,4,5},{1}]=>[{1},{2,4,5},{6},{3}]=>[1,3,1,1]
[{4},{3},{2,5,6},{1}]=>[{1},{2,5,6},{3},{4}]=>[1,3,1,1]
[{5},{3},{2,4,6},{1}]=>[{1},{2,4,6},{3},{5}]=>[1,3,1,1]
[{6},{3},{2,4,5},{1}]=>[{1},{2,4,5},{3},{6}]=>[1,3,1,1]
[{4},{5},{2,3,6},{1}]=>[{1},{2,3,6},{5},{4}]=>[1,3,1,1]
[{4},{6},{2,3,5},{1}]=>[{1},{2,3,5},{6},{4}]=>[1,3,1,1]
[{5},{4},{2,3,6},{1}]=>[{1},{2,3,6},{4},{5}]=>[1,3,1,1]
[{6},{4},{2,3,5},{1}]=>[{1},{2,3,5},{4},{6}]=>[1,3,1,1]
[{5},{6},{2,3,4},{1}]=>[{1},{2,3,4},{6},{5}]=>[1,3,1,1]
[{6},{5},{2,3,4},{1}]=>[{1},{2,3,4},{5},{6}]=>[1,3,1,1]
[{1},{2},{3,4,5,6}]=>[{3,4,5,6},{2},{1}]=>[4,1,1]
[{1},{3},{2,4,5,6}]=>[{2,4,5,6},{3},{1}]=>[4,1,1]
[{1},{4},{2,3,5,6}]=>[{2,3,5,6},{4},{1}]=>[4,1,1]
[{1},{5},{2,3,4,6}]=>[{2,3,4,6},{5},{1}]=>[4,1,1]
[{1},{6},{2,3,4,5}]=>[{2,3,4,5},{6},{1}]=>[4,1,1]
[{2},{1},{3,4,5,6}]=>[{3,4,5,6},{1},{2}]=>[4,1,1]
[{3},{1},{2,4,5,6}]=>[{2,4,5,6},{1},{3}]=>[4,1,1]
[{4},{1},{2,3,5,6}]=>[{2,3,5,6},{1},{4}]=>[4,1,1]
[{5},{1},{2,3,4,6}]=>[{2,3,4,6},{1},{5}]=>[4,1,1]
[{6},{1},{2,3,4,5}]=>[{2,3,4,5},{1},{6}]=>[4,1,1]
[{2},{3},{1,4,5,6}]=>[{1,4,5,6},{3},{2}]=>[4,1,1]
[{2},{4},{1,3,5,6}]=>[{1,3,5,6},{4},{2}]=>[4,1,1]
[{2},{5},{1,3,4,6}]=>[{1,3,4,6},{5},{2}]=>[4,1,1]
[{2},{6},{1,3,4,5}]=>[{1,3,4,5},{6},{2}]=>[4,1,1]
[{3},{2},{1,4,5,6}]=>[{1,4,5,6},{2},{3}]=>[4,1,1]
[{4},{2},{1,3,5,6}]=>[{1,3,5,6},{2},{4}]=>[4,1,1]
[{5},{2},{1,3,4,6}]=>[{1,3,4,6},{2},{5}]=>[4,1,1]
[{6},{2},{1,3,4,5}]=>[{1,3,4,5},{2},{6}]=>[4,1,1]
[{3},{4},{1,2,5,6}]=>[{1,2,5,6},{4},{3}]=>[4,1,1]
[{3},{5},{1,2,4,6}]=>[{1,2,4,6},{5},{3}]=>[4,1,1]
[{3},{6},{1,2,4,5}]=>[{1,2,4,5},{6},{3}]=>[4,1,1]
[{4},{3},{1,2,5,6}]=>[{1,2,5,6},{3},{4}]=>[4,1,1]
[{5},{3},{1,2,4,6}]=>[{1,2,4,6},{3},{5}]=>[4,1,1]
[{6},{3},{1,2,4,5}]=>[{1,2,4,5},{3},{6}]=>[4,1,1]
[{4},{5},{1,2,3,6}]=>[{1,2,3,6},{5},{4}]=>[4,1,1]
[{4},{6},{1,2,3,5}]=>[{1,2,3,5},{6},{4}]=>[4,1,1]
[{5},{4},{1,2,3,6}]=>[{1,2,3,6},{4},{5}]=>[4,1,1]
[{6},{4},{1,2,3,5}]=>[{1,2,3,5},{4},{6}]=>[4,1,1]
[{5},{6},{1,2,3,4}]=>[{1,2,3,4},{6},{5}]=>[4,1,1]
[{6},{5},{1,2,3,4}]=>[{1,2,3,4},{5},{6}]=>[4,1,1]
[{1},{2,3},{4},{5},{6}]=>[{6},{5},{4},{2,3},{1}]=>[1,1,1,2,1]
[{1},{2,3},{4},{6},{5}]=>[{5},{6},{4},{2,3},{1}]=>[1,1,1,2,1]
[{1},{2,3},{5},{4},{6}]=>[{6},{4},{5},{2,3},{1}]=>[1,1,1,2,1]
[{1},{2,3},{6},{4},{5}]=>[{5},{4},{6},{2,3},{1}]=>[1,1,1,2,1]
[{1},{2,3},{5},{6},{4}]=>[{4},{6},{5},{2,3},{1}]=>[1,1,1,2,1]
[{1},{2,3},{6},{5},{4}]=>[{4},{5},{6},{2,3},{1}]=>[1,1,1,2,1]
[{1},{2,4},{3},{5},{6}]=>[{6},{5},{3},{2,4},{1}]=>[1,1,1,2,1]
[{1},{2,4},{3},{6},{5}]=>[{5},{6},{3},{2,4},{1}]=>[1,1,1,2,1]
[{1},{2,5},{3},{4},{6}]=>[{6},{4},{3},{2,5},{1}]=>[1,1,1,2,1]
[{1},{2,6},{3},{4},{5}]=>[{5},{4},{3},{2,6},{1}]=>[1,1,1,2,1]
[{1},{2,5},{3},{6},{4}]=>[{4},{6},{3},{2,5},{1}]=>[1,1,1,2,1]
[{1},{2,6},{3},{5},{4}]=>[{4},{5},{3},{2,6},{1}]=>[1,1,1,2,1]
[{1},{2,4},{5},{3},{6}]=>[{6},{3},{5},{2,4},{1}]=>[1,1,1,2,1]
[{1},{2,4},{6},{3},{5}]=>[{5},{3},{6},{2,4},{1}]=>[1,1,1,2,1]
[{1},{2,5},{4},{3},{6}]=>[{6},{3},{4},{2,5},{1}]=>[1,1,1,2,1]
[{1},{2,6},{4},{3},{5}]=>[{5},{3},{4},{2,6},{1}]=>[1,1,1,2,1]
[{1},{2,5},{6},{3},{4}]=>[{4},{3},{6},{2,5},{1}]=>[1,1,1,2,1]
[{1},{2,6},{5},{3},{4}]=>[{4},{3},{5},{2,6},{1}]=>[1,1,1,2,1]
[{1},{2,4},{5},{6},{3}]=>[{3},{6},{5},{2,4},{1}]=>[1,1,1,2,1]
[{1},{2,4},{6},{5},{3}]=>[{3},{5},{6},{2,4},{1}]=>[1,1,1,2,1]
[{1},{2,5},{4},{6},{3}]=>[{3},{6},{4},{2,5},{1}]=>[1,1,1,2,1]
[{1},{2,6},{4},{5},{3}]=>[{3},{5},{4},{2,6},{1}]=>[1,1,1,2,1]
[{1},{2,5},{6},{4},{3}]=>[{3},{4},{6},{2,5},{1}]=>[1,1,1,2,1]
[{1},{2,6},{5},{4},{3}]=>[{3},{4},{5},{2,6},{1}]=>[1,1,1,2,1]
[{1},{3,4},{2},{5},{6}]=>[{6},{5},{2},{3,4},{1}]=>[1,1,1,2,1]
[{1},{3,4},{2},{6},{5}]=>[{5},{6},{2},{3,4},{1}]=>[1,1,1,2,1]
[{1},{3,5},{2},{4},{6}]=>[{6},{4},{2},{3,5},{1}]=>[1,1,1,2,1]
[{1},{3,6},{2},{4},{5}]=>[{5},{4},{2},{3,6},{1}]=>[1,1,1,2,1]
[{1},{3,5},{2},{6},{4}]=>[{4},{6},{2},{3,5},{1}]=>[1,1,1,2,1]
[{1},{3,6},{2},{5},{4}]=>[{4},{5},{2},{3,6},{1}]=>[1,1,1,2,1]
[{1},{4,5},{2},{3},{6}]=>[{6},{3},{2},{4,5},{1}]=>[1,1,1,2,1]
[{1},{4,6},{2},{3},{5}]=>[{5},{3},{2},{4,6},{1}]=>[1,1,1,2,1]
[{1},{5,6},{2},{3},{4}]=>[{4},{3},{2},{5,6},{1}]=>[1,1,1,2,1]
[{1},{4,5},{2},{6},{3}]=>[{3},{6},{2},{4,5},{1}]=>[1,1,1,2,1]
[{1},{4,6},{2},{5},{3}]=>[{3},{5},{2},{4,6},{1}]=>[1,1,1,2,1]
[{1},{5,6},{2},{4},{3}]=>[{3},{4},{2},{5,6},{1}]=>[1,1,1,2,1]
[{1},{3,4},{5},{2},{6}]=>[{6},{2},{5},{3,4},{1}]=>[1,1,1,2,1]
[{1},{3,4},{6},{2},{5}]=>[{5},{2},{6},{3,4},{1}]=>[1,1,1,2,1]
[{1},{3,5},{4},{2},{6}]=>[{6},{2},{4},{3,5},{1}]=>[1,1,1,2,1]
[{1},{3,6},{4},{2},{5}]=>[{5},{2},{4},{3,6},{1}]=>[1,1,1,2,1]
[{1},{3,5},{6},{2},{4}]=>[{4},{2},{6},{3,5},{1}]=>[1,1,1,2,1]
[{1},{3,6},{5},{2},{4}]=>[{4},{2},{5},{3,6},{1}]=>[1,1,1,2,1]
[{1},{4,5},{3},{2},{6}]=>[{6},{2},{3},{4,5},{1}]=>[1,1,1,2,1]
[{1},{4,6},{3},{2},{5}]=>[{5},{2},{3},{4,6},{1}]=>[1,1,1,2,1]
[{1},{5,6},{3},{2},{4}]=>[{4},{2},{3},{5,6},{1}]=>[1,1,1,2,1]
[{1},{4,5},{6},{2},{3}]=>[{3},{2},{6},{4,5},{1}]=>[1,1,1,2,1]
[{1},{4,6},{5},{2},{3}]=>[{3},{2},{5},{4,6},{1}]=>[1,1,1,2,1]
[{1},{5,6},{4},{2},{3}]=>[{3},{2},{4},{5,6},{1}]=>[1,1,1,2,1]
[{1},{3,4},{5},{6},{2}]=>[{2},{6},{5},{3,4},{1}]=>[1,1,1,2,1]
[{1},{3,4},{6},{5},{2}]=>[{2},{5},{6},{3,4},{1}]=>[1,1,1,2,1]
[{1},{3,5},{4},{6},{2}]=>[{2},{6},{4},{3,5},{1}]=>[1,1,1,2,1]
[{1},{3,6},{4},{5},{2}]=>[{2},{5},{4},{3,6},{1}]=>[1,1,1,2,1]
[{1},{3,5},{6},{4},{2}]=>[{2},{4},{6},{3,5},{1}]=>[1,1,1,2,1]
[{1},{3,6},{5},{4},{2}]=>[{2},{4},{5},{3,6},{1}]=>[1,1,1,2,1]
[{1},{4,5},{3},{6},{2}]=>[{2},{6},{3},{4,5},{1}]=>[1,1,1,2,1]
[{1},{4,6},{3},{5},{2}]=>[{2},{5},{3},{4,6},{1}]=>[1,1,1,2,1]
[{1},{5,6},{3},{4},{2}]=>[{2},{4},{3},{5,6},{1}]=>[1,1,1,2,1]
[{1},{4,5},{6},{3},{2}]=>[{2},{3},{6},{4,5},{1}]=>[1,1,1,2,1]
[{1},{4,6},{5},{3},{2}]=>[{2},{3},{5},{4,6},{1}]=>[1,1,1,2,1]
[{1},{5,6},{4},{3},{2}]=>[{2},{3},{4},{5,6},{1}]=>[1,1,1,2,1]
[{2},{1,3},{4},{5},{6}]=>[{6},{5},{4},{1,3},{2}]=>[1,1,1,2,1]
[{2},{1,3},{4},{6},{5}]=>[{5},{6},{4},{1,3},{2}]=>[1,1,1,2,1]
[{2},{1,3},{5},{4},{6}]=>[{6},{4},{5},{1,3},{2}]=>[1,1,1,2,1]
[{2},{1,3},{6},{4},{5}]=>[{5},{4},{6},{1,3},{2}]=>[1,1,1,2,1]
[{2},{1,3},{5},{6},{4}]=>[{4},{6},{5},{1,3},{2}]=>[1,1,1,2,1]
[{2},{1,3},{6},{5},{4}]=>[{4},{5},{6},{1,3},{2}]=>[1,1,1,2,1]
[{2},{1,4},{3},{5},{6}]=>[{6},{5},{3},{1,4},{2}]=>[1,1,1,2,1]
[{2},{1,4},{3},{6},{5}]=>[{5},{6},{3},{1,4},{2}]=>[1,1,1,2,1]
[{2},{1,5},{3},{4},{6}]=>[{6},{4},{3},{1,5},{2}]=>[1,1,1,2,1]
[{2},{1,6},{3},{4},{5}]=>[{5},{4},{3},{1,6},{2}]=>[1,1,1,2,1]
[{2},{1,5},{3},{6},{4}]=>[{4},{6},{3},{1,5},{2}]=>[1,1,1,2,1]
[{2},{1,6},{3},{5},{4}]=>[{4},{5},{3},{1,6},{2}]=>[1,1,1,2,1]
[{2},{1,4},{5},{3},{6}]=>[{6},{3},{5},{1,4},{2}]=>[1,1,1,2,1]
[{2},{1,4},{6},{3},{5}]=>[{5},{3},{6},{1,4},{2}]=>[1,1,1,2,1]
[{2},{1,5},{4},{3},{6}]=>[{6},{3},{4},{1,5},{2}]=>[1,1,1,2,1]
[{2},{1,6},{4},{3},{5}]=>[{5},{3},{4},{1,6},{2}]=>[1,1,1,2,1]
[{2},{1,5},{6},{3},{4}]=>[{4},{3},{6},{1,5},{2}]=>[1,1,1,2,1]
[{2},{1,6},{5},{3},{4}]=>[{4},{3},{5},{1,6},{2}]=>[1,1,1,2,1]
[{2},{1,4},{5},{6},{3}]=>[{3},{6},{5},{1,4},{2}]=>[1,1,1,2,1]
[{2},{1,4},{6},{5},{3}]=>[{3},{5},{6},{1,4},{2}]=>[1,1,1,2,1]
[{2},{1,5},{4},{6},{3}]=>[{3},{6},{4},{1,5},{2}]=>[1,1,1,2,1]
[{2},{1,6},{4},{5},{3}]=>[{3},{5},{4},{1,6},{2}]=>[1,1,1,2,1]
[{2},{1,5},{6},{4},{3}]=>[{3},{4},{6},{1,5},{2}]=>[1,1,1,2,1]
[{2},{1,6},{5},{4},{3}]=>[{3},{4},{5},{1,6},{2}]=>[1,1,1,2,1]
[{3},{1,2},{4},{5},{6}]=>[{6},{5},{4},{1,2},{3}]=>[1,1,1,2,1]
[{3},{1,2},{4},{6},{5}]=>[{5},{6},{4},{1,2},{3}]=>[1,1,1,2,1]
[{3},{1,2},{5},{4},{6}]=>[{6},{4},{5},{1,2},{3}]=>[1,1,1,2,1]
[{3},{1,2},{6},{4},{5}]=>[{5},{4},{6},{1,2},{3}]=>[1,1,1,2,1]
[{3},{1,2},{5},{6},{4}]=>[{4},{6},{5},{1,2},{3}]=>[1,1,1,2,1]
[{3},{1,2},{6},{5},{4}]=>[{4},{5},{6},{1,2},{3}]=>[1,1,1,2,1]
[{4},{1,2},{3},{5},{6}]=>[{6},{5},{3},{1,2},{4}]=>[1,1,1,2,1]
[{4},{1,2},{3},{6},{5}]=>[{5},{6},{3},{1,2},{4}]=>[1,1,1,2,1]
[{5},{1,2},{3},{4},{6}]=>[{6},{4},{3},{1,2},{5}]=>[1,1,1,2,1]
[{6},{1,2},{3},{4},{5}]=>[{5},{4},{3},{1,2},{6}]=>[1,1,1,2,1]
[{5},{1,2},{3},{6},{4}]=>[{4},{6},{3},{1,2},{5}]=>[1,1,1,2,1]
[{6},{1,2},{3},{5},{4}]=>[{4},{5},{3},{1,2},{6}]=>[1,1,1,2,1]
[{4},{1,2},{5},{3},{6}]=>[{6},{3},{5},{1,2},{4}]=>[1,1,1,2,1]
[{4},{1,2},{6},{3},{5}]=>[{5},{3},{6},{1,2},{4}]=>[1,1,1,2,1]
[{5},{1,2},{4},{3},{6}]=>[{6},{3},{4},{1,2},{5}]=>[1,1,1,2,1]
[{6},{1,2},{4},{3},{5}]=>[{5},{3},{4},{1,2},{6}]=>[1,1,1,2,1]
[{5},{1,2},{6},{3},{4}]=>[{4},{3},{6},{1,2},{5}]=>[1,1,1,2,1]
[{6},{1,2},{5},{3},{4}]=>[{4},{3},{5},{1,2},{6}]=>[1,1,1,2,1]
[{4},{1,2},{5},{6},{3}]=>[{3},{6},{5},{1,2},{4}]=>[1,1,1,2,1]
[{4},{1,2},{6},{5},{3}]=>[{3},{5},{6},{1,2},{4}]=>[1,1,1,2,1]
[{5},{1,2},{4},{6},{3}]=>[{3},{6},{4},{1,2},{5}]=>[1,1,1,2,1]
[{6},{1,2},{4},{5},{3}]=>[{3},{5},{4},{1,2},{6}]=>[1,1,1,2,1]
[{5},{1,2},{6},{4},{3}]=>[{3},{4},{6},{1,2},{5}]=>[1,1,1,2,1]
[{6},{1,2},{5},{4},{3}]=>[{3},{4},{5},{1,2},{6}]=>[1,1,1,2,1]
[{3},{1,4},{2},{5},{6}]=>[{6},{5},{2},{1,4},{3}]=>[1,1,1,2,1]
[{3},{1,4},{2},{6},{5}]=>[{5},{6},{2},{1,4},{3}]=>[1,1,1,2,1]
[{3},{1,5},{2},{4},{6}]=>[{6},{4},{2},{1,5},{3}]=>[1,1,1,2,1]
[{3},{1,6},{2},{4},{5}]=>[{5},{4},{2},{1,6},{3}]=>[1,1,1,2,1]
[{3},{1,5},{2},{6},{4}]=>[{4},{6},{2},{1,5},{3}]=>[1,1,1,2,1]
[{3},{1,6},{2},{5},{4}]=>[{4},{5},{2},{1,6},{3}]=>[1,1,1,2,1]
[{4},{1,3},{2},{5},{6}]=>[{6},{5},{2},{1,3},{4}]=>[1,1,1,2,1]
[{4},{1,3},{2},{6},{5}]=>[{5},{6},{2},{1,3},{4}]=>[1,1,1,2,1]
[{5},{1,3},{2},{4},{6}]=>[{6},{4},{2},{1,3},{5}]=>[1,1,1,2,1]
[{6},{1,3},{2},{4},{5}]=>[{5},{4},{2},{1,3},{6}]=>[1,1,1,2,1]
[{5},{1,3},{2},{6},{4}]=>[{4},{6},{2},{1,3},{5}]=>[1,1,1,2,1]
[{6},{1,3},{2},{5},{4}]=>[{4},{5},{2},{1,3},{6}]=>[1,1,1,2,1]
[{4},{1,5},{2},{3},{6}]=>[{6},{3},{2},{1,5},{4}]=>[1,1,1,2,1]
[{4},{1,6},{2},{3},{5}]=>[{5},{3},{2},{1,6},{4}]=>[1,1,1,2,1]
[{5},{1,4},{2},{3},{6}]=>[{6},{3},{2},{1,4},{5}]=>[1,1,1,2,1]
[{6},{1,4},{2},{3},{5}]=>[{5},{3},{2},{1,4},{6}]=>[1,1,1,2,1]
[{5},{1,6},{2},{3},{4}]=>[{4},{3},{2},{1,6},{5}]=>[1,1,1,2,1]
[{6},{1,5},{2},{3},{4}]=>[{4},{3},{2},{1,5},{6}]=>[1,1,1,2,1]
[{4},{1,5},{2},{6},{3}]=>[{3},{6},{2},{1,5},{4}]=>[1,1,1,2,1]
[{4},{1,6},{2},{5},{3}]=>[{3},{5},{2},{1,6},{4}]=>[1,1,1,2,1]
[{5},{1,4},{2},{6},{3}]=>[{3},{6},{2},{1,4},{5}]=>[1,1,1,2,1]
[{6},{1,4},{2},{5},{3}]=>[{3},{5},{2},{1,4},{6}]=>[1,1,1,2,1]
[{5},{1,6},{2},{4},{3}]=>[{3},{4},{2},{1,6},{5}]=>[1,1,1,2,1]
[{6},{1,5},{2},{4},{3}]=>[{3},{4},{2},{1,5},{6}]=>[1,1,1,2,1]
[{3},{1,4},{5},{2},{6}]=>[{6},{2},{5},{1,4},{3}]=>[1,1,1,2,1]
[{3},{1,4},{6},{2},{5}]=>[{5},{2},{6},{1,4},{3}]=>[1,1,1,2,1]
[{3},{1,5},{4},{2},{6}]=>[{6},{2},{4},{1,5},{3}]=>[1,1,1,2,1]
[{3},{1,6},{4},{2},{5}]=>[{5},{2},{4},{1,6},{3}]=>[1,1,1,2,1]
[{3},{1,5},{6},{2},{4}]=>[{4},{2},{6},{1,5},{3}]=>[1,1,1,2,1]
[{3},{1,6},{5},{2},{4}]=>[{4},{2},{5},{1,6},{3}]=>[1,1,1,2,1]
[{4},{1,3},{5},{2},{6}]=>[{6},{2},{5},{1,3},{4}]=>[1,1,1,2,1]
[{4},{1,3},{6},{2},{5}]=>[{5},{2},{6},{1,3},{4}]=>[1,1,1,2,1]
[{5},{1,3},{4},{2},{6}]=>[{6},{2},{4},{1,3},{5}]=>[1,1,1,2,1]
[{6},{1,3},{4},{2},{5}]=>[{5},{2},{4},{1,3},{6}]=>[1,1,1,2,1]
[{5},{1,3},{6},{2},{4}]=>[{4},{2},{6},{1,3},{5}]=>[1,1,1,2,1]
[{6},{1,3},{5},{2},{4}]=>[{4},{2},{5},{1,3},{6}]=>[1,1,1,2,1]
[{4},{1,5},{3},{2},{6}]=>[{6},{2},{3},{1,5},{4}]=>[1,1,1,2,1]
[{4},{1,6},{3},{2},{5}]=>[{5},{2},{3},{1,6},{4}]=>[1,1,1,2,1]
[{5},{1,4},{3},{2},{6}]=>[{6},{2},{3},{1,4},{5}]=>[1,1,1,2,1]
[{6},{1,4},{3},{2},{5}]=>[{5},{2},{3},{1,4},{6}]=>[1,1,1,2,1]
[{5},{1,6},{3},{2},{4}]=>[{4},{2},{3},{1,6},{5}]=>[1,1,1,2,1]
[{6},{1,5},{3},{2},{4}]=>[{4},{2},{3},{1,5},{6}]=>[1,1,1,2,1]
[{4},{1,5},{6},{2},{3}]=>[{3},{2},{6},{1,5},{4}]=>[1,1,1,2,1]
[{4},{1,6},{5},{2},{3}]=>[{3},{2},{5},{1,6},{4}]=>[1,1,1,2,1]
[{5},{1,4},{6},{2},{3}]=>[{3},{2},{6},{1,4},{5}]=>[1,1,1,2,1]
[{6},{1,4},{5},{2},{3}]=>[{3},{2},{5},{1,4},{6}]=>[1,1,1,2,1]
[{5},{1,6},{4},{2},{3}]=>[{3},{2},{4},{1,6},{5}]=>[1,1,1,2,1]
[{6},{1,5},{4},{2},{3}]=>[{3},{2},{4},{1,5},{6}]=>[1,1,1,2,1]
[{3},{1,4},{5},{6},{2}]=>[{2},{6},{5},{1,4},{3}]=>[1,1,1,2,1]
[{3},{1,4},{6},{5},{2}]=>[{2},{5},{6},{1,4},{3}]=>[1,1,1,2,1]
[{3},{1,5},{4},{6},{2}]=>[{2},{6},{4},{1,5},{3}]=>[1,1,1,2,1]
[{3},{1,6},{4},{5},{2}]=>[{2},{5},{4},{1,6},{3}]=>[1,1,1,2,1]
[{3},{1,5},{6},{4},{2}]=>[{2},{4},{6},{1,5},{3}]=>[1,1,1,2,1]
[{3},{1,6},{5},{4},{2}]=>[{2},{4},{5},{1,6},{3}]=>[1,1,1,2,1]
[{4},{1,3},{5},{6},{2}]=>[{2},{6},{5},{1,3},{4}]=>[1,1,1,2,1]
[{4},{1,3},{6},{5},{2}]=>[{2},{5},{6},{1,3},{4}]=>[1,1,1,2,1]
[{5},{1,3},{4},{6},{2}]=>[{2},{6},{4},{1,3},{5}]=>[1,1,1,2,1]
[{6},{1,3},{4},{5},{2}]=>[{2},{5},{4},{1,3},{6}]=>[1,1,1,2,1]
[{5},{1,3},{6},{4},{2}]=>[{2},{4},{6},{1,3},{5}]=>[1,1,1,2,1]
[{6},{1,3},{5},{4},{2}]=>[{2},{4},{5},{1,3},{6}]=>[1,1,1,2,1]
[{4},{1,5},{3},{6},{2}]=>[{2},{6},{3},{1,5},{4}]=>[1,1,1,2,1]
[{4},{1,6},{3},{5},{2}]=>[{2},{5},{3},{1,6},{4}]=>[1,1,1,2,1]
[{5},{1,4},{3},{6},{2}]=>[{2},{6},{3},{1,4},{5}]=>[1,1,1,2,1]
[{6},{1,4},{3},{5},{2}]=>[{2},{5},{3},{1,4},{6}]=>[1,1,1,2,1]
[{5},{1,6},{3},{4},{2}]=>[{2},{4},{3},{1,6},{5}]=>[1,1,1,2,1]
[{6},{1,5},{3},{4},{2}]=>[{2},{4},{3},{1,5},{6}]=>[1,1,1,2,1]
[{4},{1,5},{6},{3},{2}]=>[{2},{3},{6},{1,5},{4}]=>[1,1,1,2,1]
[{4},{1,6},{5},{3},{2}]=>[{2},{3},{5},{1,6},{4}]=>[1,1,1,2,1]
[{5},{1,4},{6},{3},{2}]=>[{2},{3},{6},{1,4},{5}]=>[1,1,1,2,1]
[{6},{1,4},{5},{3},{2}]=>[{2},{3},{5},{1,4},{6}]=>[1,1,1,2,1]
[{5},{1,6},{4},{3},{2}]=>[{2},{3},{4},{1,6},{5}]=>[1,1,1,2,1]
[{6},{1,5},{4},{3},{2}]=>[{2},{3},{4},{1,5},{6}]=>[1,1,1,2,1]
[{2},{3,4},{1},{5},{6}]=>[{6},{5},{1},{3,4},{2}]=>[1,1,1,2,1]
[{2},{3,4},{1},{6},{5}]=>[{5},{6},{1},{3,4},{2}]=>[1,1,1,2,1]
[{2},{3,5},{1},{4},{6}]=>[{6},{4},{1},{3,5},{2}]=>[1,1,1,2,1]
[{2},{3,6},{1},{4},{5}]=>[{5},{4},{1},{3,6},{2}]=>[1,1,1,2,1]
[{2},{3,5},{1},{6},{4}]=>[{4},{6},{1},{3,5},{2}]=>[1,1,1,2,1]
[{2},{3,6},{1},{5},{4}]=>[{4},{5},{1},{3,6},{2}]=>[1,1,1,2,1]
[{2},{4,5},{1},{3},{6}]=>[{6},{3},{1},{4,5},{2}]=>[1,1,1,2,1]
[{2},{4,6},{1},{3},{5}]=>[{5},{3},{1},{4,6},{2}]=>[1,1,1,2,1]
[{2},{5,6},{1},{3},{4}]=>[{4},{3},{1},{5,6},{2}]=>[1,1,1,2,1]
[{2},{4,5},{1},{6},{3}]=>[{3},{6},{1},{4,5},{2}]=>[1,1,1,2,1]
[{2},{4,6},{1},{5},{3}]=>[{3},{5},{1},{4,6},{2}]=>[1,1,1,2,1]
[{2},{5,6},{1},{4},{3}]=>[{3},{4},{1},{5,6},{2}]=>[1,1,1,2,1]
[{3},{2,4},{1},{5},{6}]=>[{6},{5},{1},{2,4},{3}]=>[1,1,1,2,1]
[{3},{2,4},{1},{6},{5}]=>[{5},{6},{1},{2,4},{3}]=>[1,1,1,2,1]
[{3},{2,5},{1},{4},{6}]=>[{6},{4},{1},{2,5},{3}]=>[1,1,1,2,1]
[{3},{2,6},{1},{4},{5}]=>[{5},{4},{1},{2,6},{3}]=>[1,1,1,2,1]
[{3},{2,5},{1},{6},{4}]=>[{4},{6},{1},{2,5},{3}]=>[1,1,1,2,1]
[{3},{2,6},{1},{5},{4}]=>[{4},{5},{1},{2,6},{3}]=>[1,1,1,2,1]
[{4},{2,3},{1},{5},{6}]=>[{6},{5},{1},{2,3},{4}]=>[1,1,1,2,1]
[{4},{2,3},{1},{6},{5}]=>[{5},{6},{1},{2,3},{4}]=>[1,1,1,2,1]
[{5},{2,3},{1},{4},{6}]=>[{6},{4},{1},{2,3},{5}]=>[1,1,1,2,1]
[{6},{2,3},{1},{4},{5}]=>[{5},{4},{1},{2,3},{6}]=>[1,1,1,2,1]
[{5},{2,3},{1},{6},{4}]=>[{4},{6},{1},{2,3},{5}]=>[1,1,1,2,1]
[{6},{2,3},{1},{5},{4}]=>[{4},{5},{1},{2,3},{6}]=>[1,1,1,2,1]
[{4},{2,5},{1},{3},{6}]=>[{6},{3},{1},{2,5},{4}]=>[1,1,1,2,1]
[{4},{2,6},{1},{3},{5}]=>[{5},{3},{1},{2,6},{4}]=>[1,1,1,2,1]
[{5},{2,4},{1},{3},{6}]=>[{6},{3},{1},{2,4},{5}]=>[1,1,1,2,1]
[{6},{2,4},{1},{3},{5}]=>[{5},{3},{1},{2,4},{6}]=>[1,1,1,2,1]
[{5},{2,6},{1},{3},{4}]=>[{4},{3},{1},{2,6},{5}]=>[1,1,1,2,1]
[{6},{2,5},{1},{3},{4}]=>[{4},{3},{1},{2,5},{6}]=>[1,1,1,2,1]
[{4},{2,5},{1},{6},{3}]=>[{3},{6},{1},{2,5},{4}]=>[1,1,1,2,1]
[{4},{2,6},{1},{5},{3}]=>[{3},{5},{1},{2,6},{4}]=>[1,1,1,2,1]
[{5},{2,4},{1},{6},{3}]=>[{3},{6},{1},{2,4},{5}]=>[1,1,1,2,1]
[{6},{2,4},{1},{5},{3}]=>[{3},{5},{1},{2,4},{6}]=>[1,1,1,2,1]
[{5},{2,6},{1},{4},{3}]=>[{3},{4},{1},{2,6},{5}]=>[1,1,1,2,1]
[{6},{2,5},{1},{4},{3}]=>[{3},{4},{1},{2,5},{6}]=>[1,1,1,2,1]
[{3},{4,5},{1},{2},{6}]=>[{6},{2},{1},{4,5},{3}]=>[1,1,1,2,1]
[{3},{4,6},{1},{2},{5}]=>[{5},{2},{1},{4,6},{3}]=>[1,1,1,2,1]
[{3},{5,6},{1},{2},{4}]=>[{4},{2},{1},{5,6},{3}]=>[1,1,1,2,1]
[{4},{3,5},{1},{2},{6}]=>[{6},{2},{1},{3,5},{4}]=>[1,1,1,2,1]
[{4},{3,6},{1},{2},{5}]=>[{5},{2},{1},{3,6},{4}]=>[1,1,1,2,1]
[{5},{3,4},{1},{2},{6}]=>[{6},{2},{1},{3,4},{5}]=>[1,1,1,2,1]
[{6},{3,4},{1},{2},{5}]=>[{5},{2},{1},{3,4},{6}]=>[1,1,1,2,1]
[{5},{3,6},{1},{2},{4}]=>[{4},{2},{1},{3,6},{5}]=>[1,1,1,2,1]
[{6},{3,5},{1},{2},{4}]=>[{4},{2},{1},{3,5},{6}]=>[1,1,1,2,1]
[{4},{5,6},{1},{2},{3}]=>[{3},{2},{1},{5,6},{4}]=>[1,1,1,2,1]
[{5},{4,6},{1},{2},{3}]=>[{3},{2},{1},{4,6},{5}]=>[1,1,1,2,1]
[{6},{4,5},{1},{2},{3}]=>[{3},{2},{1},{4,5},{6}]=>[1,1,1,2,1]
[{3},{4,5},{1},{6},{2}]=>[{2},{6},{1},{4,5},{3}]=>[1,1,1,2,1]
[{3},{4,6},{1},{5},{2}]=>[{2},{5},{1},{4,6},{3}]=>[1,1,1,2,1]
[{3},{5,6},{1},{4},{2}]=>[{2},{4},{1},{5,6},{3}]=>[1,1,1,2,1]
[{4},{3,5},{1},{6},{2}]=>[{2},{6},{1},{3,5},{4}]=>[1,1,1,2,1]
[{4},{3,6},{1},{5},{2}]=>[{2},{5},{1},{3,6},{4}]=>[1,1,1,2,1]
[{5},{3,4},{1},{6},{2}]=>[{2},{6},{1},{3,4},{5}]=>[1,1,1,2,1]
[{6},{3,4},{1},{5},{2}]=>[{2},{5},{1},{3,4},{6}]=>[1,1,1,2,1]
[{5},{3,6},{1},{4},{2}]=>[{2},{4},{1},{3,6},{5}]=>[1,1,1,2,1]
[{6},{3,5},{1},{4},{2}]=>[{2},{4},{1},{3,5},{6}]=>[1,1,1,2,1]
[{4},{5,6},{1},{3},{2}]=>[{2},{3},{1},{5,6},{4}]=>[1,1,1,2,1]
[{5},{4,6},{1},{3},{2}]=>[{2},{3},{1},{4,6},{5}]=>[1,1,1,2,1]
[{6},{4,5},{1},{3},{2}]=>[{2},{3},{1},{4,5},{6}]=>[1,1,1,2,1]
[{2},{3,4},{5},{1},{6}]=>[{6},{1},{5},{3,4},{2}]=>[1,1,1,2,1]
[{2},{3,4},{6},{1},{5}]=>[{5},{1},{6},{3,4},{2}]=>[1,1,1,2,1]
[{2},{3,5},{4},{1},{6}]=>[{6},{1},{4},{3,5},{2}]=>[1,1,1,2,1]
[{2},{3,6},{4},{1},{5}]=>[{5},{1},{4},{3,6},{2}]=>[1,1,1,2,1]
[{2},{3,5},{6},{1},{4}]=>[{4},{1},{6},{3,5},{2}]=>[1,1,1,2,1]
[{2},{3,6},{5},{1},{4}]=>[{4},{1},{5},{3,6},{2}]=>[1,1,1,2,1]
[{2},{4,5},{3},{1},{6}]=>[{6},{1},{3},{4,5},{2}]=>[1,1,1,2,1]
[{2},{4,6},{3},{1},{5}]=>[{5},{1},{3},{4,6},{2}]=>[1,1,1,2,1]
[{2},{5,6},{3},{1},{4}]=>[{4},{1},{3},{5,6},{2}]=>[1,1,1,2,1]
[{2},{4,5},{6},{1},{3}]=>[{3},{1},{6},{4,5},{2}]=>[1,1,1,2,1]
[{2},{4,6},{5},{1},{3}]=>[{3},{1},{5},{4,6},{2}]=>[1,1,1,2,1]
[{2},{5,6},{4},{1},{3}]=>[{3},{1},{4},{5,6},{2}]=>[1,1,1,2,1]
[{3},{2,4},{5},{1},{6}]=>[{6},{1},{5},{2,4},{3}]=>[1,1,1,2,1]
[{3},{2,4},{6},{1},{5}]=>[{5},{1},{6},{2,4},{3}]=>[1,1,1,2,1]
[{3},{2,5},{4},{1},{6}]=>[{6},{1},{4},{2,5},{3}]=>[1,1,1,2,1]
[{3},{2,6},{4},{1},{5}]=>[{5},{1},{4},{2,6},{3}]=>[1,1,1,2,1]
[{3},{2,5},{6},{1},{4}]=>[{4},{1},{6},{2,5},{3}]=>[1,1,1,2,1]
[{3},{2,6},{5},{1},{4}]=>[{4},{1},{5},{2,6},{3}]=>[1,1,1,2,1]
[{4},{2,3},{5},{1},{6}]=>[{6},{1},{5},{2,3},{4}]=>[1,1,1,2,1]
[{4},{2,3},{6},{1},{5}]=>[{5},{1},{6},{2,3},{4}]=>[1,1,1,2,1]
[{5},{2,3},{4},{1},{6}]=>[{6},{1},{4},{2,3},{5}]=>[1,1,1,2,1]
[{6},{2,3},{4},{1},{5}]=>[{5},{1},{4},{2,3},{6}]=>[1,1,1,2,1]
[{5},{2,3},{6},{1},{4}]=>[{4},{1},{6},{2,3},{5}]=>[1,1,1,2,1]
[{6},{2,3},{5},{1},{4}]=>[{4},{1},{5},{2,3},{6}]=>[1,1,1,2,1]
[{4},{2,5},{3},{1},{6}]=>[{6},{1},{3},{2,5},{4}]=>[1,1,1,2,1]
[{4},{2,6},{3},{1},{5}]=>[{5},{1},{3},{2,6},{4}]=>[1,1,1,2,1]
[{5},{2,4},{3},{1},{6}]=>[{6},{1},{3},{2,4},{5}]=>[1,1,1,2,1]
[{6},{2,4},{3},{1},{5}]=>[{5},{1},{3},{2,4},{6}]=>[1,1,1,2,1]
[{5},{2,6},{3},{1},{4}]=>[{4},{1},{3},{2,6},{5}]=>[1,1,1,2,1]
[{6},{2,5},{3},{1},{4}]=>[{4},{1},{3},{2,5},{6}]=>[1,1,1,2,1]
[{4},{2,5},{6},{1},{3}]=>[{3},{1},{6},{2,5},{4}]=>[1,1,1,2,1]
[{4},{2,6},{5},{1},{3}]=>[{3},{1},{5},{2,6},{4}]=>[1,1,1,2,1]
[{5},{2,4},{6},{1},{3}]=>[{3},{1},{6},{2,4},{5}]=>[1,1,1,2,1]
[{6},{2,4},{5},{1},{3}]=>[{3},{1},{5},{2,4},{6}]=>[1,1,1,2,1]
[{5},{2,6},{4},{1},{3}]=>[{3},{1},{4},{2,6},{5}]=>[1,1,1,2,1]
[{6},{2,5},{4},{1},{3}]=>[{3},{1},{4},{2,5},{6}]=>[1,1,1,2,1]
[{3},{4,5},{2},{1},{6}]=>[{6},{1},{2},{4,5},{3}]=>[1,1,1,2,1]
[{3},{4,6},{2},{1},{5}]=>[{5},{1},{2},{4,6},{3}]=>[1,1,1,2,1]
[{3},{5,6},{2},{1},{4}]=>[{4},{1},{2},{5,6},{3}]=>[1,1,1,2,1]
[{4},{3,5},{2},{1},{6}]=>[{6},{1},{2},{3,5},{4}]=>[1,1,1,2,1]
[{4},{3,6},{2},{1},{5}]=>[{5},{1},{2},{3,6},{4}]=>[1,1,1,2,1]
[{5},{3,4},{2},{1},{6}]=>[{6},{1},{2},{3,4},{5}]=>[1,1,1,2,1]
[{6},{3,4},{2},{1},{5}]=>[{5},{1},{2},{3,4},{6}]=>[1,1,1,2,1]
[{5},{3,6},{2},{1},{4}]=>[{4},{1},{2},{3,6},{5}]=>[1,1,1,2,1]
[{6},{3,5},{2},{1},{4}]=>[{4},{1},{2},{3,5},{6}]=>[1,1,1,2,1]
[{4},{5,6},{2},{1},{3}]=>[{3},{1},{2},{5,6},{4}]=>[1,1,1,2,1]
[{5},{4,6},{2},{1},{3}]=>[{3},{1},{2},{4,6},{5}]=>[1,1,1,2,1]
[{6},{4,5},{2},{1},{3}]=>[{3},{1},{2},{4,5},{6}]=>[1,1,1,2,1]
[{3},{4,5},{6},{1},{2}]=>[{2},{1},{6},{4,5},{3}]=>[1,1,1,2,1]
[{3},{4,6},{5},{1},{2}]=>[{2},{1},{5},{4,6},{3}]=>[1,1,1,2,1]
[{3},{5,6},{4},{1},{2}]=>[{2},{1},{4},{5,6},{3}]=>[1,1,1,2,1]
[{4},{3,5},{6},{1},{2}]=>[{2},{1},{6},{3,5},{4}]=>[1,1,1,2,1]
[{4},{3,6},{5},{1},{2}]=>[{2},{1},{5},{3,6},{4}]=>[1,1,1,2,1]
[{5},{3,4},{6},{1},{2}]=>[{2},{1},{6},{3,4},{5}]=>[1,1,1,2,1]
[{6},{3,4},{5},{1},{2}]=>[{2},{1},{5},{3,4},{6}]=>[1,1,1,2,1]
[{5},{3,6},{4},{1},{2}]=>[{2},{1},{4},{3,6},{5}]=>[1,1,1,2,1]
[{6},{3,5},{4},{1},{2}]=>[{2},{1},{4},{3,5},{6}]=>[1,1,1,2,1]
[{4},{5,6},{3},{1},{2}]=>[{2},{1},{3},{5,6},{4}]=>[1,1,1,2,1]
[{5},{4,6},{3},{1},{2}]=>[{2},{1},{3},{4,6},{5}]=>[1,1,1,2,1]
[{6},{4,5},{3},{1},{2}]=>[{2},{1},{3},{4,5},{6}]=>[1,1,1,2,1]
[{2},{3,4},{5},{6},{1}]=>[{1},{6},{5},{3,4},{2}]=>[1,1,1,2,1]
[{2},{3,4},{6},{5},{1}]=>[{1},{5},{6},{3,4},{2}]=>[1,1,1,2,1]
[{2},{3,5},{4},{6},{1}]=>[{1},{6},{4},{3,5},{2}]=>[1,1,1,2,1]
[{2},{3,6},{4},{5},{1}]=>[{1},{5},{4},{3,6},{2}]=>[1,1,1,2,1]
[{2},{3,5},{6},{4},{1}]=>[{1},{4},{6},{3,5},{2}]=>[1,1,1,2,1]
[{2},{3,6},{5},{4},{1}]=>[{1},{4},{5},{3,6},{2}]=>[1,1,1,2,1]
[{2},{4,5},{3},{6},{1}]=>[{1},{6},{3},{4,5},{2}]=>[1,1,1,2,1]
[{2},{4,6},{3},{5},{1}]=>[{1},{5},{3},{4,6},{2}]=>[1,1,1,2,1]
[{2},{5,6},{3},{4},{1}]=>[{1},{4},{3},{5,6},{2}]=>[1,1,1,2,1]
[{2},{4,5},{6},{3},{1}]=>[{1},{3},{6},{4,5},{2}]=>[1,1,1,2,1]
[{2},{4,6},{5},{3},{1}]=>[{1},{3},{5},{4,6},{2}]=>[1,1,1,2,1]
[{2},{5,6},{4},{3},{1}]=>[{1},{3},{4},{5,6},{2}]=>[1,1,1,2,1]
[{3},{2,4},{5},{6},{1}]=>[{1},{6},{5},{2,4},{3}]=>[1,1,1,2,1]
[{3},{2,4},{6},{5},{1}]=>[{1},{5},{6},{2,4},{3}]=>[1,1,1,2,1]
[{3},{2,5},{4},{6},{1}]=>[{1},{6},{4},{2,5},{3}]=>[1,1,1,2,1]
[{3},{2,6},{4},{5},{1}]=>[{1},{5},{4},{2,6},{3}]=>[1,1,1,2,1]
[{3},{2,5},{6},{4},{1}]=>[{1},{4},{6},{2,5},{3}]=>[1,1,1,2,1]
[{3},{2,6},{5},{4},{1}]=>[{1},{4},{5},{2,6},{3}]=>[1,1,1,2,1]
[{4},{2,3},{5},{6},{1}]=>[{1},{6},{5},{2,3},{4}]=>[1,1,1,2,1]
[{4},{2,3},{6},{5},{1}]=>[{1},{5},{6},{2,3},{4}]=>[1,1,1,2,1]
[{5},{2,3},{4},{6},{1}]=>[{1},{6},{4},{2,3},{5}]=>[1,1,1,2,1]
[{6},{2,3},{4},{5},{1}]=>[{1},{5},{4},{2,3},{6}]=>[1,1,1,2,1]
[{5},{2,3},{6},{4},{1}]=>[{1},{4},{6},{2,3},{5}]=>[1,1,1,2,1]
[{6},{2,3},{5},{4},{1}]=>[{1},{4},{5},{2,3},{6}]=>[1,1,1,2,1]
[{4},{2,5},{3},{6},{1}]=>[{1},{6},{3},{2,5},{4}]=>[1,1,1,2,1]
[{4},{2,6},{3},{5},{1}]=>[{1},{5},{3},{2,6},{4}]=>[1,1,1,2,1]
[{5},{2,4},{3},{6},{1}]=>[{1},{6},{3},{2,4},{5}]=>[1,1,1,2,1]
[{6},{2,4},{3},{5},{1}]=>[{1},{5},{3},{2,4},{6}]=>[1,1,1,2,1]
[{5},{2,6},{3},{4},{1}]=>[{1},{4},{3},{2,6},{5}]=>[1,1,1,2,1]
[{6},{2,5},{3},{4},{1}]=>[{1},{4},{3},{2,5},{6}]=>[1,1,1,2,1]
[{4},{2,5},{6},{3},{1}]=>[{1},{3},{6},{2,5},{4}]=>[1,1,1,2,1]
[{4},{2,6},{5},{3},{1}]=>[{1},{3},{5},{2,6},{4}]=>[1,1,1,2,1]
[{5},{2,4},{6},{3},{1}]=>[{1},{3},{6},{2,4},{5}]=>[1,1,1,2,1]
[{6},{2,4},{5},{3},{1}]=>[{1},{3},{5},{2,4},{6}]=>[1,1,1,2,1]
[{5},{2,6},{4},{3},{1}]=>[{1},{3},{4},{2,6},{5}]=>[1,1,1,2,1]
[{6},{2,5},{4},{3},{1}]=>[{1},{3},{4},{2,5},{6}]=>[1,1,1,2,1]
[{3},{4,5},{2},{6},{1}]=>[{1},{6},{2},{4,5},{3}]=>[1,1,1,2,1]
[{3},{4,6},{2},{5},{1}]=>[{1},{5},{2},{4,6},{3}]=>[1,1,1,2,1]
[{3},{5,6},{2},{4},{1}]=>[{1},{4},{2},{5,6},{3}]=>[1,1,1,2,1]
[{4},{3,5},{2},{6},{1}]=>[{1},{6},{2},{3,5},{4}]=>[1,1,1,2,1]
[{4},{3,6},{2},{5},{1}]=>[{1},{5},{2},{3,6},{4}]=>[1,1,1,2,1]
[{5},{3,4},{2},{6},{1}]=>[{1},{6},{2},{3,4},{5}]=>[1,1,1,2,1]
[{6},{3,4},{2},{5},{1}]=>[{1},{5},{2},{3,4},{6}]=>[1,1,1,2,1]
[{5},{3,6},{2},{4},{1}]=>[{1},{4},{2},{3,6},{5}]=>[1,1,1,2,1]
[{6},{3,5},{2},{4},{1}]=>[{1},{4},{2},{3,5},{6}]=>[1,1,1,2,1]
[{4},{5,6},{2},{3},{1}]=>[{1},{3},{2},{5,6},{4}]=>[1,1,1,2,1]
[{5},{4,6},{2},{3},{1}]=>[{1},{3},{2},{4,6},{5}]=>[1,1,1,2,1]
[{6},{4,5},{2},{3},{1}]=>[{1},{3},{2},{4,5},{6}]=>[1,1,1,2,1]
[{3},{4,5},{6},{2},{1}]=>[{1},{2},{6},{4,5},{3}]=>[1,1,1,2,1]
[{3},{4,6},{5},{2},{1}]=>[{1},{2},{5},{4,6},{3}]=>[1,1,1,2,1]
[{3},{5,6},{4},{2},{1}]=>[{1},{2},{4},{5,6},{3}]=>[1,1,1,2,1]
[{4},{3,5},{6},{2},{1}]=>[{1},{2},{6},{3,5},{4}]=>[1,1,1,2,1]
[{4},{3,6},{5},{2},{1}]=>[{1},{2},{5},{3,6},{4}]=>[1,1,1,2,1]
[{5},{3,4},{6},{2},{1}]=>[{1},{2},{6},{3,4},{5}]=>[1,1,1,2,1]
[{6},{3,4},{5},{2},{1}]=>[{1},{2},{5},{3,4},{6}]=>[1,1,1,2,1]
[{5},{3,6},{4},{2},{1}]=>[{1},{2},{4},{3,6},{5}]=>[1,1,1,2,1]
[{6},{3,5},{4},{2},{1}]=>[{1},{2},{4},{3,5},{6}]=>[1,1,1,2,1]
[{4},{5,6},{3},{2},{1}]=>[{1},{2},{3},{5,6},{4}]=>[1,1,1,2,1]
[{5},{4,6},{3},{2},{1}]=>[{1},{2},{3},{4,6},{5}]=>[1,1,1,2,1]
[{6},{4,5},{3},{2},{1}]=>[{1},{2},{3},{4,5},{6}]=>[1,1,1,2,1]
[{1},{2,3},{4},{5,6}]=>[{5,6},{4},{2,3},{1}]=>[2,1,2,1]
[{1},{2,3},{5},{4,6}]=>[{4,6},{5},{2,3},{1}]=>[2,1,2,1]
[{1},{2,3},{6},{4,5}]=>[{4,5},{6},{2,3},{1}]=>[2,1,2,1]
[{1},{2,4},{3},{5,6}]=>[{5,6},{3},{2,4},{1}]=>[2,1,2,1]
[{1},{2,5},{3},{4,6}]=>[{4,6},{3},{2,5},{1}]=>[2,1,2,1]
[{1},{2,6},{3},{4,5}]=>[{4,5},{3},{2,6},{1}]=>[2,1,2,1]
[{1},{2,4},{5},{3,6}]=>[{3,6},{5},{2,4},{1}]=>[2,1,2,1]
[{1},{2,4},{6},{3,5}]=>[{3,5},{6},{2,4},{1}]=>[2,1,2,1]
[{1},{2,5},{4},{3,6}]=>[{3,6},{4},{2,5},{1}]=>[2,1,2,1]
[{1},{2,6},{4},{3,5}]=>[{3,5},{4},{2,6},{1}]=>[2,1,2,1]
[{1},{2,5},{6},{3,4}]=>[{3,4},{6},{2,5},{1}]=>[2,1,2,1]
[{1},{2,6},{5},{3,4}]=>[{3,4},{5},{2,6},{1}]=>[2,1,2,1]
[{1},{3,4},{2},{5,6}]=>[{5,6},{2},{3,4},{1}]=>[2,1,2,1]
[{1},{3,5},{2},{4,6}]=>[{4,6},{2},{3,5},{1}]=>[2,1,2,1]
[{1},{3,6},{2},{4,5}]=>[{4,5},{2},{3,6},{1}]=>[2,1,2,1]
[{1},{4,5},{2},{3,6}]=>[{3,6},{2},{4,5},{1}]=>[2,1,2,1]
[{1},{4,6},{2},{3,5}]=>[{3,5},{2},{4,6},{1}]=>[2,1,2,1]
[{1},{5,6},{2},{3,4}]=>[{3,4},{2},{5,6},{1}]=>[2,1,2,1]
[{1},{3,4},{5},{2,6}]=>[{2,6},{5},{3,4},{1}]=>[2,1,2,1]
[{1},{3,4},{6},{2,5}]=>[{2,5},{6},{3,4},{1}]=>[2,1,2,1]
[{1},{3,5},{4},{2,6}]=>[{2,6},{4},{3,5},{1}]=>[2,1,2,1]
[{1},{3,6},{4},{2,5}]=>[{2,5},{4},{3,6},{1}]=>[2,1,2,1]
[{1},{3,5},{6},{2,4}]=>[{2,4},{6},{3,5},{1}]=>[2,1,2,1]
[{1},{3,6},{5},{2,4}]=>[{2,4},{5},{3,6},{1}]=>[2,1,2,1]
[{1},{4,5},{3},{2,6}]=>[{2,6},{3},{4,5},{1}]=>[2,1,2,1]
[{1},{4,6},{3},{2,5}]=>[{2,5},{3},{4,6},{1}]=>[2,1,2,1]
[{1},{5,6},{3},{2,4}]=>[{2,4},{3},{5,6},{1}]=>[2,1,2,1]
[{1},{4,5},{6},{2,3}]=>[{2,3},{6},{4,5},{1}]=>[2,1,2,1]
[{1},{4,6},{5},{2,3}]=>[{2,3},{5},{4,6},{1}]=>[2,1,2,1]
[{1},{5,6},{4},{2,3}]=>[{2,3},{4},{5,6},{1}]=>[2,1,2,1]
[{2},{1,3},{4},{5,6}]=>[{5,6},{4},{1,3},{2}]=>[2,1,2,1]
[{2},{1,3},{5},{4,6}]=>[{4,6},{5},{1,3},{2}]=>[2,1,2,1]
[{2},{1,3},{6},{4,5}]=>[{4,5},{6},{1,3},{2}]=>[2,1,2,1]
[{2},{1,4},{3},{5,6}]=>[{5,6},{3},{1,4},{2}]=>[2,1,2,1]
[{2},{1,5},{3},{4,6}]=>[{4,6},{3},{1,5},{2}]=>[2,1,2,1]
[{2},{1,6},{3},{4,5}]=>[{4,5},{3},{1,6},{2}]=>[2,1,2,1]
[{2},{1,4},{5},{3,6}]=>[{3,6},{5},{1,4},{2}]=>[2,1,2,1]
[{2},{1,4},{6},{3,5}]=>[{3,5},{6},{1,4},{2}]=>[2,1,2,1]
[{2},{1,5},{4},{3,6}]=>[{3,6},{4},{1,5},{2}]=>[2,1,2,1]
[{2},{1,6},{4},{3,5}]=>[{3,5},{4},{1,6},{2}]=>[2,1,2,1]
[{2},{1,5},{6},{3,4}]=>[{3,4},{6},{1,5},{2}]=>[2,1,2,1]
[{2},{1,6},{5},{3,4}]=>[{3,4},{5},{1,6},{2}]=>[2,1,2,1]
[{3},{1,2},{4},{5,6}]=>[{5,6},{4},{1,2},{3}]=>[2,1,2,1]
[{3},{1,2},{5},{4,6}]=>[{4,6},{5},{1,2},{3}]=>[2,1,2,1]
[{3},{1,2},{6},{4,5}]=>[{4,5},{6},{1,2},{3}]=>[2,1,2,1]
[{4},{1,2},{3},{5,6}]=>[{5,6},{3},{1,2},{4}]=>[2,1,2,1]
[{5},{1,2},{3},{4,6}]=>[{4,6},{3},{1,2},{5}]=>[2,1,2,1]
[{6},{1,2},{3},{4,5}]=>[{4,5},{3},{1,2},{6}]=>[2,1,2,1]
[{4},{1,2},{5},{3,6}]=>[{3,6},{5},{1,2},{4}]=>[2,1,2,1]
[{4},{1,2},{6},{3,5}]=>[{3,5},{6},{1,2},{4}]=>[2,1,2,1]
[{5},{1,2},{4},{3,6}]=>[{3,6},{4},{1,2},{5}]=>[2,1,2,1]
[{6},{1,2},{4},{3,5}]=>[{3,5},{4},{1,2},{6}]=>[2,1,2,1]
[{5},{1,2},{6},{3,4}]=>[{3,4},{6},{1,2},{5}]=>[2,1,2,1]
[{6},{1,2},{5},{3,4}]=>[{3,4},{5},{1,2},{6}]=>[2,1,2,1]
[{3},{1,4},{2},{5,6}]=>[{5,6},{2},{1,4},{3}]=>[2,1,2,1]
[{3},{1,5},{2},{4,6}]=>[{4,6},{2},{1,5},{3}]=>[2,1,2,1]
[{3},{1,6},{2},{4,5}]=>[{4,5},{2},{1,6},{3}]=>[2,1,2,1]
[{4},{1,3},{2},{5,6}]=>[{5,6},{2},{1,3},{4}]=>[2,1,2,1]
[{5},{1,3},{2},{4,6}]=>[{4,6},{2},{1,3},{5}]=>[2,1,2,1]
[{6},{1,3},{2},{4,5}]=>[{4,5},{2},{1,3},{6}]=>[2,1,2,1]
[{4},{1,5},{2},{3,6}]=>[{3,6},{2},{1,5},{4}]=>[2,1,2,1]
[{4},{1,6},{2},{3,5}]=>[{3,5},{2},{1,6},{4}]=>[2,1,2,1]
[{5},{1,4},{2},{3,6}]=>[{3,6},{2},{1,4},{5}]=>[2,1,2,1]
[{6},{1,4},{2},{3,5}]=>[{3,5},{2},{1,4},{6}]=>[2,1,2,1]
[{5},{1,6},{2},{3,4}]=>[{3,4},{2},{1,6},{5}]=>[2,1,2,1]
[{6},{1,5},{2},{3,4}]=>[{3,4},{2},{1,5},{6}]=>[2,1,2,1]
[{3},{1,4},{5},{2,6}]=>[{2,6},{5},{1,4},{3}]=>[2,1,2,1]
[{3},{1,4},{6},{2,5}]=>[{2,5},{6},{1,4},{3}]=>[2,1,2,1]
[{3},{1,5},{4},{2,6}]=>[{2,6},{4},{1,5},{3}]=>[2,1,2,1]
[{3},{1,6},{4},{2,5}]=>[{2,5},{4},{1,6},{3}]=>[2,1,2,1]
[{3},{1,5},{6},{2,4}]=>[{2,4},{6},{1,5},{3}]=>[2,1,2,1]
[{3},{1,6},{5},{2,4}]=>[{2,4},{5},{1,6},{3}]=>[2,1,2,1]
[{4},{1,3},{5},{2,6}]=>[{2,6},{5},{1,3},{4}]=>[2,1,2,1]
[{4},{1,3},{6},{2,5}]=>[{2,5},{6},{1,3},{4}]=>[2,1,2,1]
[{5},{1,3},{4},{2,6}]=>[{2,6},{4},{1,3},{5}]=>[2,1,2,1]
[{6},{1,3},{4},{2,5}]=>[{2,5},{4},{1,3},{6}]=>[2,1,2,1]
[{5},{1,3},{6},{2,4}]=>[{2,4},{6},{1,3},{5}]=>[2,1,2,1]
[{6},{1,3},{5},{2,4}]=>[{2,4},{5},{1,3},{6}]=>[2,1,2,1]
[{4},{1,5},{3},{2,6}]=>[{2,6},{3},{1,5},{4}]=>[2,1,2,1]
[{4},{1,6},{3},{2,5}]=>[{2,5},{3},{1,6},{4}]=>[2,1,2,1]
[{5},{1,4},{3},{2,6}]=>[{2,6},{3},{1,4},{5}]=>[2,1,2,1]
[{6},{1,4},{3},{2,5}]=>[{2,5},{3},{1,4},{6}]=>[2,1,2,1]
[{5},{1,6},{3},{2,4}]=>[{2,4},{3},{1,6},{5}]=>[2,1,2,1]
[{6},{1,5},{3},{2,4}]=>[{2,4},{3},{1,5},{6}]=>[2,1,2,1]
[{4},{1,5},{6},{2,3}]=>[{2,3},{6},{1,5},{4}]=>[2,1,2,1]
[{4},{1,6},{5},{2,3}]=>[{2,3},{5},{1,6},{4}]=>[2,1,2,1]
[{5},{1,4},{6},{2,3}]=>[{2,3},{6},{1,4},{5}]=>[2,1,2,1]
[{6},{1,4},{5},{2,3}]=>[{2,3},{5},{1,4},{6}]=>[2,1,2,1]
[{5},{1,6},{4},{2,3}]=>[{2,3},{4},{1,6},{5}]=>[2,1,2,1]
[{6},{1,5},{4},{2,3}]=>[{2,3},{4},{1,5},{6}]=>[2,1,2,1]
[{2},{3,4},{1},{5,6}]=>[{5,6},{1},{3,4},{2}]=>[2,1,2,1]
[{2},{3,5},{1},{4,6}]=>[{4,6},{1},{3,5},{2}]=>[2,1,2,1]
[{2},{3,6},{1},{4,5}]=>[{4,5},{1},{3,6},{2}]=>[2,1,2,1]
[{2},{4,5},{1},{3,6}]=>[{3,6},{1},{4,5},{2}]=>[2,1,2,1]
[{2},{4,6},{1},{3,5}]=>[{3,5},{1},{4,6},{2}]=>[2,1,2,1]
[{2},{5,6},{1},{3,4}]=>[{3,4},{1},{5,6},{2}]=>[2,1,2,1]
[{3},{2,4},{1},{5,6}]=>[{5,6},{1},{2,4},{3}]=>[2,1,2,1]
[{3},{2,5},{1},{4,6}]=>[{4,6},{1},{2,5},{3}]=>[2,1,2,1]
[{3},{2,6},{1},{4,5}]=>[{4,5},{1},{2,6},{3}]=>[2,1,2,1]
[{4},{2,3},{1},{5,6}]=>[{5,6},{1},{2,3},{4}]=>[2,1,2,1]
[{5},{2,3},{1},{4,6}]=>[{4,6},{1},{2,3},{5}]=>[2,1,2,1]
[{6},{2,3},{1},{4,5}]=>[{4,5},{1},{2,3},{6}]=>[2,1,2,1]
[{4},{2,5},{1},{3,6}]=>[{3,6},{1},{2,5},{4}]=>[2,1,2,1]
[{4},{2,6},{1},{3,5}]=>[{3,5},{1},{2,6},{4}]=>[2,1,2,1]
[{5},{2,4},{1},{3,6}]=>[{3,6},{1},{2,4},{5}]=>[2,1,2,1]
[{6},{2,4},{1},{3,5}]=>[{3,5},{1},{2,4},{6}]=>[2,1,2,1]
[{5},{2,6},{1},{3,4}]=>[{3,4},{1},{2,6},{5}]=>[2,1,2,1]
[{6},{2,5},{1},{3,4}]=>[{3,4},{1},{2,5},{6}]=>[2,1,2,1]
[{3},{4,5},{1},{2,6}]=>[{2,6},{1},{4,5},{3}]=>[2,1,2,1]
[{3},{4,6},{1},{2,5}]=>[{2,5},{1},{4,6},{3}]=>[2,1,2,1]
[{3},{5,6},{1},{2,4}]=>[{2,4},{1},{5,6},{3}]=>[2,1,2,1]
[{4},{3,5},{1},{2,6}]=>[{2,6},{1},{3,5},{4}]=>[2,1,2,1]
[{4},{3,6},{1},{2,5}]=>[{2,5},{1},{3,6},{4}]=>[2,1,2,1]
[{5},{3,4},{1},{2,6}]=>[{2,6},{1},{3,4},{5}]=>[2,1,2,1]
[{6},{3,4},{1},{2,5}]=>[{2,5},{1},{3,4},{6}]=>[2,1,2,1]
[{5},{3,6},{1},{2,4}]=>[{2,4},{1},{3,6},{5}]=>[2,1,2,1]
[{6},{3,5},{1},{2,4}]=>[{2,4},{1},{3,5},{6}]=>[2,1,2,1]
[{4},{5,6},{1},{2,3}]=>[{2,3},{1},{5,6},{4}]=>[2,1,2,1]
[{5},{4,6},{1},{2,3}]=>[{2,3},{1},{4,6},{5}]=>[2,1,2,1]
[{6},{4,5},{1},{2,3}]=>[{2,3},{1},{4,5},{6}]=>[2,1,2,1]
[{2},{3,4},{5},{1,6}]=>[{1,6},{5},{3,4},{2}]=>[2,1,2,1]
[{2},{3,4},{6},{1,5}]=>[{1,5},{6},{3,4},{2}]=>[2,1,2,1]
[{2},{3,5},{4},{1,6}]=>[{1,6},{4},{3,5},{2}]=>[2,1,2,1]
[{2},{3,6},{4},{1,5}]=>[{1,5},{4},{3,6},{2}]=>[2,1,2,1]
[{2},{3,5},{6},{1,4}]=>[{1,4},{6},{3,5},{2}]=>[2,1,2,1]
[{2},{3,6},{5},{1,4}]=>[{1,4},{5},{3,6},{2}]=>[2,1,2,1]
[{2},{4,5},{3},{1,6}]=>[{1,6},{3},{4,5},{2}]=>[2,1,2,1]
[{2},{4,6},{3},{1,5}]=>[{1,5},{3},{4,6},{2}]=>[2,1,2,1]
[{2},{5,6},{3},{1,4}]=>[{1,4},{3},{5,6},{2}]=>[2,1,2,1]
[{2},{4,5},{6},{1,3}]=>[{1,3},{6},{4,5},{2}]=>[2,1,2,1]
[{2},{4,6},{5},{1,3}]=>[{1,3},{5},{4,6},{2}]=>[2,1,2,1]
[{2},{5,6},{4},{1,3}]=>[{1,3},{4},{5,6},{2}]=>[2,1,2,1]
[{3},{2,4},{5},{1,6}]=>[{1,6},{5},{2,4},{3}]=>[2,1,2,1]
[{3},{2,4},{6},{1,5}]=>[{1,5},{6},{2,4},{3}]=>[2,1,2,1]
[{3},{2,5},{4},{1,6}]=>[{1,6},{4},{2,5},{3}]=>[2,1,2,1]
[{3},{2,6},{4},{1,5}]=>[{1,5},{4},{2,6},{3}]=>[2,1,2,1]
[{3},{2,5},{6},{1,4}]=>[{1,4},{6},{2,5},{3}]=>[2,1,2,1]
[{3},{2,6},{5},{1,4}]=>[{1,4},{5},{2,6},{3}]=>[2,1,2,1]
[{4},{2,3},{5},{1,6}]=>[{1,6},{5},{2,3},{4}]=>[2,1,2,1]
[{4},{2,3},{6},{1,5}]=>[{1,5},{6},{2,3},{4}]=>[2,1,2,1]
[{5},{2,3},{4},{1,6}]=>[{1,6},{4},{2,3},{5}]=>[2,1,2,1]
[{6},{2,3},{4},{1,5}]=>[{1,5},{4},{2,3},{6}]=>[2,1,2,1]
[{5},{2,3},{6},{1,4}]=>[{1,4},{6},{2,3},{5}]=>[2,1,2,1]
[{6},{2,3},{5},{1,4}]=>[{1,4},{5},{2,3},{6}]=>[2,1,2,1]
[{4},{2,5},{3},{1,6}]=>[{1,6},{3},{2,5},{4}]=>[2,1,2,1]
[{4},{2,6},{3},{1,5}]=>[{1,5},{3},{2,6},{4}]=>[2,1,2,1]
[{5},{2,4},{3},{1,6}]=>[{1,6},{3},{2,4},{5}]=>[2,1,2,1]
[{6},{2,4},{3},{1,5}]=>[{1,5},{3},{2,4},{6}]=>[2,1,2,1]
[{5},{2,6},{3},{1,4}]=>[{1,4},{3},{2,6},{5}]=>[2,1,2,1]
[{6},{2,5},{3},{1,4}]=>[{1,4},{3},{2,5},{6}]=>[2,1,2,1]
[{4},{2,5},{6},{1,3}]=>[{1,3},{6},{2,5},{4}]=>[2,1,2,1]
[{4},{2,6},{5},{1,3}]=>[{1,3},{5},{2,6},{4}]=>[2,1,2,1]
[{5},{2,4},{6},{1,3}]=>[{1,3},{6},{2,4},{5}]=>[2,1,2,1]
[{6},{2,4},{5},{1,3}]=>[{1,3},{5},{2,4},{6}]=>[2,1,2,1]
[{5},{2,6},{4},{1,3}]=>[{1,3},{4},{2,6},{5}]=>[2,1,2,1]
[{6},{2,5},{4},{1,3}]=>[{1,3},{4},{2,5},{6}]=>[2,1,2,1]
[{3},{4,5},{2},{1,6}]=>[{1,6},{2},{4,5},{3}]=>[2,1,2,1]
[{3},{4,6},{2},{1,5}]=>[{1,5},{2},{4,6},{3}]=>[2,1,2,1]
[{3},{5,6},{2},{1,4}]=>[{1,4},{2},{5,6},{3}]=>[2,1,2,1]
[{4},{3,5},{2},{1,6}]=>[{1,6},{2},{3,5},{4}]=>[2,1,2,1]
[{4},{3,6},{2},{1,5}]=>[{1,5},{2},{3,6},{4}]=>[2,1,2,1]
[{5},{3,4},{2},{1,6}]=>[{1,6},{2},{3,4},{5}]=>[2,1,2,1]
[{6},{3,4},{2},{1,5}]=>[{1,5},{2},{3,4},{6}]=>[2,1,2,1]
[{5},{3,6},{2},{1,4}]=>[{1,4},{2},{3,6},{5}]=>[2,1,2,1]
[{6},{3,5},{2},{1,4}]=>[{1,4},{2},{3,5},{6}]=>[2,1,2,1]
[{4},{5,6},{2},{1,3}]=>[{1,3},{2},{5,6},{4}]=>[2,1,2,1]
[{5},{4,6},{2},{1,3}]=>[{1,3},{2},{4,6},{5}]=>[2,1,2,1]
[{6},{4,5},{2},{1,3}]=>[{1,3},{2},{4,5},{6}]=>[2,1,2,1]
[{3},{4,5},{6},{1,2}]=>[{1,2},{6},{4,5},{3}]=>[2,1,2,1]
[{3},{4,6},{5},{1,2}]=>[{1,2},{5},{4,6},{3}]=>[2,1,2,1]
[{3},{5,6},{4},{1,2}]=>[{1,2},{4},{5,6},{3}]=>[2,1,2,1]
[{4},{3,5},{6},{1,2}]=>[{1,2},{6},{3,5},{4}]=>[2,1,2,1]
[{4},{3,6},{5},{1,2}]=>[{1,2},{5},{3,6},{4}]=>[2,1,2,1]
[{5},{3,4},{6},{1,2}]=>[{1,2},{6},{3,4},{5}]=>[2,1,2,1]
[{6},{3,4},{5},{1,2}]=>[{1,2},{5},{3,4},{6}]=>[2,1,2,1]
[{5},{3,6},{4},{1,2}]=>[{1,2},{4},{3,6},{5}]=>[2,1,2,1]
[{6},{3,5},{4},{1,2}]=>[{1,2},{4},{3,5},{6}]=>[2,1,2,1]
[{4},{5,6},{3},{1,2}]=>[{1,2},{3},{5,6},{4}]=>[2,1,2,1]
[{5},{4,6},{3},{1,2}]=>[{1,2},{3},{4,6},{5}]=>[2,1,2,1]
[{6},{4,5},{3},{1,2}]=>[{1,2},{3},{4,5},{6}]=>[2,1,2,1]
[{1},{2,3},{4,5},{6}]=>[{6},{4,5},{2,3},{1}]=>[1,2,2,1]
[{1},{2,3},{4,6},{5}]=>[{5},{4,6},{2,3},{1}]=>[1,2,2,1]
[{1},{2,3},{5,6},{4}]=>[{4},{5,6},{2,3},{1}]=>[1,2,2,1]
[{1},{2,4},{3,5},{6}]=>[{6},{3,5},{2,4},{1}]=>[1,2,2,1]
[{1},{2,4},{3,6},{5}]=>[{5},{3,6},{2,4},{1}]=>[1,2,2,1]
[{1},{2,5},{3,4},{6}]=>[{6},{3,4},{2,5},{1}]=>[1,2,2,1]
[{1},{2,6},{3,4},{5}]=>[{5},{3,4},{2,6},{1}]=>[1,2,2,1]
[{1},{2,5},{3,6},{4}]=>[{4},{3,6},{2,5},{1}]=>[1,2,2,1]
[{1},{2,6},{3,5},{4}]=>[{4},{3,5},{2,6},{1}]=>[1,2,2,1]
[{1},{2,4},{5,6},{3}]=>[{3},{5,6},{2,4},{1}]=>[1,2,2,1]
[{1},{2,5},{4,6},{3}]=>[{3},{4,6},{2,5},{1}]=>[1,2,2,1]
[{1},{2,6},{4,5},{3}]=>[{3},{4,5},{2,6},{1}]=>[1,2,2,1]
[{1},{3,4},{2,5},{6}]=>[{6},{2,5},{3,4},{1}]=>[1,2,2,1]
[{1},{3,4},{2,6},{5}]=>[{5},{2,6},{3,4},{1}]=>[1,2,2,1]
[{1},{3,5},{2,4},{6}]=>[{6},{2,4},{3,5},{1}]=>[1,2,2,1]
[{1},{3,6},{2,4},{5}]=>[{5},{2,4},{3,6},{1}]=>[1,2,2,1]
[{1},{3,5},{2,6},{4}]=>[{4},{2,6},{3,5},{1}]=>[1,2,2,1]
[{1},{3,6},{2,5},{4}]=>[{4},{2,5},{3,6},{1}]=>[1,2,2,1]
[{1},{4,5},{2,3},{6}]=>[{6},{2,3},{4,5},{1}]=>[1,2,2,1]
[{1},{4,6},{2,3},{5}]=>[{5},{2,3},{4,6},{1}]=>[1,2,2,1]
[{1},{5,6},{2,3},{4}]=>[{4},{2,3},{5,6},{1}]=>[1,2,2,1]
[{1},{4,5},{2,6},{3}]=>[{3},{2,6},{4,5},{1}]=>[1,2,2,1]
[{1},{4,6},{2,5},{3}]=>[{3},{2,5},{4,6},{1}]=>[1,2,2,1]
[{1},{5,6},{2,4},{3}]=>[{3},{2,4},{5,6},{1}]=>[1,2,2,1]
[{1},{3,4},{5,6},{2}]=>[{2},{5,6},{3,4},{1}]=>[1,2,2,1]
[{1},{3,5},{4,6},{2}]=>[{2},{4,6},{3,5},{1}]=>[1,2,2,1]
[{1},{3,6},{4,5},{2}]=>[{2},{4,5},{3,6},{1}]=>[1,2,2,1]
[{1},{4,5},{3,6},{2}]=>[{2},{3,6},{4,5},{1}]=>[1,2,2,1]
[{1},{4,6},{3,5},{2}]=>[{2},{3,5},{4,6},{1}]=>[1,2,2,1]
[{1},{5,6},{3,4},{2}]=>[{2},{3,4},{5,6},{1}]=>[1,2,2,1]
[{2},{1,3},{4,5},{6}]=>[{6},{4,5},{1,3},{2}]=>[1,2,2,1]
[{2},{1,3},{4,6},{5}]=>[{5},{4,6},{1,3},{2}]=>[1,2,2,1]
[{2},{1,3},{5,6},{4}]=>[{4},{5,6},{1,3},{2}]=>[1,2,2,1]
[{2},{1,4},{3,5},{6}]=>[{6},{3,5},{1,4},{2}]=>[1,2,2,1]
[{2},{1,4},{3,6},{5}]=>[{5},{3,6},{1,4},{2}]=>[1,2,2,1]
[{2},{1,5},{3,4},{6}]=>[{6},{3,4},{1,5},{2}]=>[1,2,2,1]
[{2},{1,6},{3,4},{5}]=>[{5},{3,4},{1,6},{2}]=>[1,2,2,1]
[{2},{1,5},{3,6},{4}]=>[{4},{3,6},{1,5},{2}]=>[1,2,2,1]
[{2},{1,6},{3,5},{4}]=>[{4},{3,5},{1,6},{2}]=>[1,2,2,1]
[{2},{1,4},{5,6},{3}]=>[{3},{5,6},{1,4},{2}]=>[1,2,2,1]
[{2},{1,5},{4,6},{3}]=>[{3},{4,6},{1,5},{2}]=>[1,2,2,1]
[{2},{1,6},{4,5},{3}]=>[{3},{4,5},{1,6},{2}]=>[1,2,2,1]
[{3},{1,2},{4,5},{6}]=>[{6},{4,5},{1,2},{3}]=>[1,2,2,1]
[{3},{1,2},{4,6},{5}]=>[{5},{4,6},{1,2},{3}]=>[1,2,2,1]
[{3},{1,2},{5,6},{4}]=>[{4},{5,6},{1,2},{3}]=>[1,2,2,1]
[{4},{1,2},{3,5},{6}]=>[{6},{3,5},{1,2},{4}]=>[1,2,2,1]
[{4},{1,2},{3,6},{5}]=>[{5},{3,6},{1,2},{4}]=>[1,2,2,1]
[{5},{1,2},{3,4},{6}]=>[{6},{3,4},{1,2},{5}]=>[1,2,2,1]
[{6},{1,2},{3,4},{5}]=>[{5},{3,4},{1,2},{6}]=>[1,2,2,1]
[{5},{1,2},{3,6},{4}]=>[{4},{3,6},{1,2},{5}]=>[1,2,2,1]
[{6},{1,2},{3,5},{4}]=>[{4},{3,5},{1,2},{6}]=>[1,2,2,1]
[{4},{1,2},{5,6},{3}]=>[{3},{5,6},{1,2},{4}]=>[1,2,2,1]
[{5},{1,2},{4,6},{3}]=>[{3},{4,6},{1,2},{5}]=>[1,2,2,1]
[{6},{1,2},{4,5},{3}]=>[{3},{4,5},{1,2},{6}]=>[1,2,2,1]
[{3},{1,4},{2,5},{6}]=>[{6},{2,5},{1,4},{3}]=>[1,2,2,1]
[{3},{1,4},{2,6},{5}]=>[{5},{2,6},{1,4},{3}]=>[1,2,2,1]
[{3},{1,5},{2,4},{6}]=>[{6},{2,4},{1,5},{3}]=>[1,2,2,1]
[{3},{1,6},{2,4},{5}]=>[{5},{2,4},{1,6},{3}]=>[1,2,2,1]
[{3},{1,5},{2,6},{4}]=>[{4},{2,6},{1,5},{3}]=>[1,2,2,1]
[{3},{1,6},{2,5},{4}]=>[{4},{2,5},{1,6},{3}]=>[1,2,2,1]
[{4},{1,3},{2,5},{6}]=>[{6},{2,5},{1,3},{4}]=>[1,2,2,1]
[{4},{1,3},{2,6},{5}]=>[{5},{2,6},{1,3},{4}]=>[1,2,2,1]
[{5},{1,3},{2,4},{6}]=>[{6},{2,4},{1,3},{5}]=>[1,2,2,1]
[{6},{1,3},{2,4},{5}]=>[{5},{2,4},{1,3},{6}]=>[1,2,2,1]
[{5},{1,3},{2,6},{4}]=>[{4},{2,6},{1,3},{5}]=>[1,2,2,1]
[{6},{1,3},{2,5},{4}]=>[{4},{2,5},{1,3},{6}]=>[1,2,2,1]
[{4},{1,5},{2,3},{6}]=>[{6},{2,3},{1,5},{4}]=>[1,2,2,1]
[{4},{1,6},{2,3},{5}]=>[{5},{2,3},{1,6},{4}]=>[1,2,2,1]
[{5},{1,4},{2,3},{6}]=>[{6},{2,3},{1,4},{5}]=>[1,2,2,1]
[{6},{1,4},{2,3},{5}]=>[{5},{2,3},{1,4},{6}]=>[1,2,2,1]
[{5},{1,6},{2,3},{4}]=>[{4},{2,3},{1,6},{5}]=>[1,2,2,1]
[{6},{1,5},{2,3},{4}]=>[{4},{2,3},{1,5},{6}]=>[1,2,2,1]
[{4},{1,5},{2,6},{3}]=>[{3},{2,6},{1,5},{4}]=>[1,2,2,1]
[{4},{1,6},{2,5},{3}]=>[{3},{2,5},{1,6},{4}]=>[1,2,2,1]
[{5},{1,4},{2,6},{3}]=>[{3},{2,6},{1,4},{5}]=>[1,2,2,1]
[{6},{1,4},{2,5},{3}]=>[{3},{2,5},{1,4},{6}]=>[1,2,2,1]
[{5},{1,6},{2,4},{3}]=>[{3},{2,4},{1,6},{5}]=>[1,2,2,1]
[{6},{1,5},{2,4},{3}]=>[{3},{2,4},{1,5},{6}]=>[1,2,2,1]
[{3},{1,4},{5,6},{2}]=>[{2},{5,6},{1,4},{3}]=>[1,2,2,1]
[{3},{1,5},{4,6},{2}]=>[{2},{4,6},{1,5},{3}]=>[1,2,2,1]
[{3},{1,6},{4,5},{2}]=>[{2},{4,5},{1,6},{3}]=>[1,2,2,1]
[{4},{1,3},{5,6},{2}]=>[{2},{5,6},{1,3},{4}]=>[1,2,2,1]
[{5},{1,3},{4,6},{2}]=>[{2},{4,6},{1,3},{5}]=>[1,2,2,1]
[{6},{1,3},{4,5},{2}]=>[{2},{4,5},{1,3},{6}]=>[1,2,2,1]
[{4},{1,5},{3,6},{2}]=>[{2},{3,6},{1,5},{4}]=>[1,2,2,1]
[{4},{1,6},{3,5},{2}]=>[{2},{3,5},{1,6},{4}]=>[1,2,2,1]
[{5},{1,4},{3,6},{2}]=>[{2},{3,6},{1,4},{5}]=>[1,2,2,1]
[{6},{1,4},{3,5},{2}]=>[{2},{3,5},{1,4},{6}]=>[1,2,2,1]
[{5},{1,6},{3,4},{2}]=>[{2},{3,4},{1,6},{5}]=>[1,2,2,1]
[{6},{1,5},{3,4},{2}]=>[{2},{3,4},{1,5},{6}]=>[1,2,2,1]
[{2},{3,4},{1,5},{6}]=>[{6},{1,5},{3,4},{2}]=>[1,2,2,1]
[{2},{3,4},{1,6},{5}]=>[{5},{1,6},{3,4},{2}]=>[1,2,2,1]
[{2},{3,5},{1,4},{6}]=>[{6},{1,4},{3,5},{2}]=>[1,2,2,1]
[{2},{3,6},{1,4},{5}]=>[{5},{1,4},{3,6},{2}]=>[1,2,2,1]
[{2},{3,5},{1,6},{4}]=>[{4},{1,6},{3,5},{2}]=>[1,2,2,1]
[{2},{3,6},{1,5},{4}]=>[{4},{1,5},{3,6},{2}]=>[1,2,2,1]
[{2},{4,5},{1,3},{6}]=>[{6},{1,3},{4,5},{2}]=>[1,2,2,1]
[{2},{4,6},{1,3},{5}]=>[{5},{1,3},{4,6},{2}]=>[1,2,2,1]
[{2},{5,6},{1,3},{4}]=>[{4},{1,3},{5,6},{2}]=>[1,2,2,1]
[{2},{4,5},{1,6},{3}]=>[{3},{1,6},{4,5},{2}]=>[1,2,2,1]
[{2},{4,6},{1,5},{3}]=>[{3},{1,5},{4,6},{2}]=>[1,2,2,1]
[{2},{5,6},{1,4},{3}]=>[{3},{1,4},{5,6},{2}]=>[1,2,2,1]
[{3},{2,4},{1,5},{6}]=>[{6},{1,5},{2,4},{3}]=>[1,2,2,1]
[{3},{2,4},{1,6},{5}]=>[{5},{1,6},{2,4},{3}]=>[1,2,2,1]
[{3},{2,5},{1,4},{6}]=>[{6},{1,4},{2,5},{3}]=>[1,2,2,1]
[{3},{2,6},{1,4},{5}]=>[{5},{1,4},{2,6},{3}]=>[1,2,2,1]
[{3},{2,5},{1,6},{4}]=>[{4},{1,6},{2,5},{3}]=>[1,2,2,1]
[{3},{2,6},{1,5},{4}]=>[{4},{1,5},{2,6},{3}]=>[1,2,2,1]
[{4},{2,3},{1,5},{6}]=>[{6},{1,5},{2,3},{4}]=>[1,2,2,1]
[{4},{2,3},{1,6},{5}]=>[{5},{1,6},{2,3},{4}]=>[1,2,2,1]
[{5},{2,3},{1,4},{6}]=>[{6},{1,4},{2,3},{5}]=>[1,2,2,1]
[{6},{2,3},{1,4},{5}]=>[{5},{1,4},{2,3},{6}]=>[1,2,2,1]
[{5},{2,3},{1,6},{4}]=>[{4},{1,6},{2,3},{5}]=>[1,2,2,1]
[{6},{2,3},{1,5},{4}]=>[{4},{1,5},{2,3},{6}]=>[1,2,2,1]
[{4},{2,5},{1,3},{6}]=>[{6},{1,3},{2,5},{4}]=>[1,2,2,1]
[{4},{2,6},{1,3},{5}]=>[{5},{1,3},{2,6},{4}]=>[1,2,2,1]
[{5},{2,4},{1,3},{6}]=>[{6},{1,3},{2,4},{5}]=>[1,2,2,1]
[{6},{2,4},{1,3},{5}]=>[{5},{1,3},{2,4},{6}]=>[1,2,2,1]
[{5},{2,6},{1,3},{4}]=>[{4},{1,3},{2,6},{5}]=>[1,2,2,1]
[{6},{2,5},{1,3},{4}]=>[{4},{1,3},{2,5},{6}]=>[1,2,2,1]
[{4},{2,5},{1,6},{3}]=>[{3},{1,6},{2,5},{4}]=>[1,2,2,1]
[{4},{2,6},{1,5},{3}]=>[{3},{1,5},{2,6},{4}]=>[1,2,2,1]
[{5},{2,4},{1,6},{3}]=>[{3},{1,6},{2,4},{5}]=>[1,2,2,1]
[{6},{2,4},{1,5},{3}]=>[{3},{1,5},{2,4},{6}]=>[1,2,2,1]
[{5},{2,6},{1,4},{3}]=>[{3},{1,4},{2,6},{5}]=>[1,2,2,1]
[{6},{2,5},{1,4},{3}]=>[{3},{1,4},{2,5},{6}]=>[1,2,2,1]
[{3},{4,5},{1,2},{6}]=>[{6},{1,2},{4,5},{3}]=>[1,2,2,1]
[{3},{4,6},{1,2},{5}]=>[{5},{1,2},{4,6},{3}]=>[1,2,2,1]
[{3},{5,6},{1,2},{4}]=>[{4},{1,2},{5,6},{3}]=>[1,2,2,1]
[{4},{3,5},{1,2},{6}]=>[{6},{1,2},{3,5},{4}]=>[1,2,2,1]
[{4},{3,6},{1,2},{5}]=>[{5},{1,2},{3,6},{4}]=>[1,2,2,1]
[{5},{3,4},{1,2},{6}]=>[{6},{1,2},{3,4},{5}]=>[1,2,2,1]
[{6},{3,4},{1,2},{5}]=>[{5},{1,2},{3,4},{6}]=>[1,2,2,1]
[{5},{3,6},{1,2},{4}]=>[{4},{1,2},{3,6},{5}]=>[1,2,2,1]
[{6},{3,5},{1,2},{4}]=>[{4},{1,2},{3,5},{6}]=>[1,2,2,1]
[{4},{5,6},{1,2},{3}]=>[{3},{1,2},{5,6},{4}]=>[1,2,2,1]
[{5},{4,6},{1,2},{3}]=>[{3},{1,2},{4,6},{5}]=>[1,2,2,1]
[{6},{4,5},{1,2},{3}]=>[{3},{1,2},{4,5},{6}]=>[1,2,2,1]
[{3},{4,5},{1,6},{2}]=>[{2},{1,6},{4,5},{3}]=>[1,2,2,1]
[{3},{4,6},{1,5},{2}]=>[{2},{1,5},{4,6},{3}]=>[1,2,2,1]
[{3},{5,6},{1,4},{2}]=>[{2},{1,4},{5,6},{3}]=>[1,2,2,1]
[{4},{3,5},{1,6},{2}]=>[{2},{1,6},{3,5},{4}]=>[1,2,2,1]
[{4},{3,6},{1,5},{2}]=>[{2},{1,5},{3,6},{4}]=>[1,2,2,1]
[{5},{3,4},{1,6},{2}]=>[{2},{1,6},{3,4},{5}]=>[1,2,2,1]
[{6},{3,4},{1,5},{2}]=>[{2},{1,5},{3,4},{6}]=>[1,2,2,1]
[{5},{3,6},{1,4},{2}]=>[{2},{1,4},{3,6},{5}]=>[1,2,2,1]
[{6},{3,5},{1,4},{2}]=>[{2},{1,4},{3,5},{6}]=>[1,2,2,1]
[{4},{5,6},{1,3},{2}]=>[{2},{1,3},{5,6},{4}]=>[1,2,2,1]
[{5},{4,6},{1,3},{2}]=>[{2},{1,3},{4,6},{5}]=>[1,2,2,1]
[{6},{4,5},{1,3},{2}]=>[{2},{1,3},{4,5},{6}]=>[1,2,2,1]
[{2},{3,4},{5,6},{1}]=>[{1},{5,6},{3,4},{2}]=>[1,2,2,1]
[{2},{3,5},{4,6},{1}]=>[{1},{4,6},{3,5},{2}]=>[1,2,2,1]
[{2},{3,6},{4,5},{1}]=>[{1},{4,5},{3,6},{2}]=>[1,2,2,1]
[{2},{4,5},{3,6},{1}]=>[{1},{3,6},{4,5},{2}]=>[1,2,2,1]
[{2},{4,6},{3,5},{1}]=>[{1},{3,5},{4,6},{2}]=>[1,2,2,1]
[{2},{5,6},{3,4},{1}]=>[{1},{3,4},{5,6},{2}]=>[1,2,2,1]
[{3},{2,4},{5,6},{1}]=>[{1},{5,6},{2,4},{3}]=>[1,2,2,1]
[{3},{2,5},{4,6},{1}]=>[{1},{4,6},{2,5},{3}]=>[1,2,2,1]
[{3},{2,6},{4,5},{1}]=>[{1},{4,5},{2,6},{3}]=>[1,2,2,1]
[{4},{2,3},{5,6},{1}]=>[{1},{5,6},{2,3},{4}]=>[1,2,2,1]
[{5},{2,3},{4,6},{1}]=>[{1},{4,6},{2,3},{5}]=>[1,2,2,1]
[{6},{2,3},{4,5},{1}]=>[{1},{4,5},{2,3},{6}]=>[1,2,2,1]
[{4},{2,5},{3,6},{1}]=>[{1},{3,6},{2,5},{4}]=>[1,2,2,1]
[{4},{2,6},{3,5},{1}]=>[{1},{3,5},{2,6},{4}]=>[1,2,2,1]
[{5},{2,4},{3,6},{1}]=>[{1},{3,6},{2,4},{5}]=>[1,2,2,1]
[{6},{2,4},{3,5},{1}]=>[{1},{3,5},{2,4},{6}]=>[1,2,2,1]
[{5},{2,6},{3,4},{1}]=>[{1},{3,4},{2,6},{5}]=>[1,2,2,1]
[{6},{2,5},{3,4},{1}]=>[{1},{3,4},{2,5},{6}]=>[1,2,2,1]
[{3},{4,5},{2,6},{1}]=>[{1},{2,6},{4,5},{3}]=>[1,2,2,1]
[{3},{4,6},{2,5},{1}]=>[{1},{2,5},{4,6},{3}]=>[1,2,2,1]
[{3},{5,6},{2,4},{1}]=>[{1},{2,4},{5,6},{3}]=>[1,2,2,1]
[{4},{3,5},{2,6},{1}]=>[{1},{2,6},{3,5},{4}]=>[1,2,2,1]
[{4},{3,6},{2,5},{1}]=>[{1},{2,5},{3,6},{4}]=>[1,2,2,1]
[{5},{3,4},{2,6},{1}]=>[{1},{2,6},{3,4},{5}]=>[1,2,2,1]
[{6},{3,4},{2,5},{1}]=>[{1},{2,5},{3,4},{6}]=>[1,2,2,1]
[{5},{3,6},{2,4},{1}]=>[{1},{2,4},{3,6},{5}]=>[1,2,2,1]
[{6},{3,5},{2,4},{1}]=>[{1},{2,4},{3,5},{6}]=>[1,2,2,1]
[{4},{5,6},{2,3},{1}]=>[{1},{2,3},{5,6},{4}]=>[1,2,2,1]
[{5},{4,6},{2,3},{1}]=>[{1},{2,3},{4,6},{5}]=>[1,2,2,1]
[{6},{4,5},{2,3},{1}]=>[{1},{2,3},{4,5},{6}]=>[1,2,2,1]
[{1},{2,3},{4,5,6}]=>[{4,5,6},{2,3},{1}]=>[3,2,1]
[{1},{2,4},{3,5,6}]=>[{3,5,6},{2,4},{1}]=>[3,2,1]
[{1},{2,5},{3,4,6}]=>[{3,4,6},{2,5},{1}]=>[3,2,1]
[{1},{2,6},{3,4,5}]=>[{3,4,5},{2,6},{1}]=>[3,2,1]
[{1},{3,4},{2,5,6}]=>[{2,5,6},{3,4},{1}]=>[3,2,1]
[{1},{3,5},{2,4,6}]=>[{2,4,6},{3,5},{1}]=>[3,2,1]
[{1},{3,6},{2,4,5}]=>[{2,4,5},{3,6},{1}]=>[3,2,1]
[{1},{4,5},{2,3,6}]=>[{2,3,6},{4,5},{1}]=>[3,2,1]
[{1},{4,6},{2,3,5}]=>[{2,3,5},{4,6},{1}]=>[3,2,1]
[{1},{5,6},{2,3,4}]=>[{2,3,4},{5,6},{1}]=>[3,2,1]
[{2},{1,3},{4,5,6}]=>[{4,5,6},{1,3},{2}]=>[3,2,1]
[{2},{1,4},{3,5,6}]=>[{3,5,6},{1,4},{2}]=>[3,2,1]
[{2},{1,5},{3,4,6}]=>[{3,4,6},{1,5},{2}]=>[3,2,1]
[{2},{1,6},{3,4,5}]=>[{3,4,5},{1,6},{2}]=>[3,2,1]
[{3},{1,2},{4,5,6}]=>[{4,5,6},{1,2},{3}]=>[3,2,1]
[{4},{1,2},{3,5,6}]=>[{3,5,6},{1,2},{4}]=>[3,2,1]
[{5},{1,2},{3,4,6}]=>[{3,4,6},{1,2},{5}]=>[3,2,1]
[{6},{1,2},{3,4,5}]=>[{3,4,5},{1,2},{6}]=>[3,2,1]
[{3},{1,4},{2,5,6}]=>[{2,5,6},{1,4},{3}]=>[3,2,1]
[{3},{1,5},{2,4,6}]=>[{2,4,6},{1,5},{3}]=>[3,2,1]
[{3},{1,6},{2,4,5}]=>[{2,4,5},{1,6},{3}]=>[3,2,1]
[{4},{1,3},{2,5,6}]=>[{2,5,6},{1,3},{4}]=>[3,2,1]
[{5},{1,3},{2,4,6}]=>[{2,4,6},{1,3},{5}]=>[3,2,1]
[{6},{1,3},{2,4,5}]=>[{2,4,5},{1,3},{6}]=>[3,2,1]
[{4},{1,5},{2,3,6}]=>[{2,3,6},{1,5},{4}]=>[3,2,1]
[{4},{1,6},{2,3,5}]=>[{2,3,5},{1,6},{4}]=>[3,2,1]
[{5},{1,4},{2,3,6}]=>[{2,3,6},{1,4},{5}]=>[3,2,1]
[{6},{1,4},{2,3,5}]=>[{2,3,5},{1,4},{6}]=>[3,2,1]
[{5},{1,6},{2,3,4}]=>[{2,3,4},{1,6},{5}]=>[3,2,1]
[{6},{1,5},{2,3,4}]=>[{2,3,4},{1,5},{6}]=>[3,2,1]
[{2},{3,4},{1,5,6}]=>[{1,5,6},{3,4},{2}]=>[3,2,1]
[{2},{3,5},{1,4,6}]=>[{1,4,6},{3,5},{2}]=>[3,2,1]
[{2},{3,6},{1,4,5}]=>[{1,4,5},{3,6},{2}]=>[3,2,1]
[{2},{4,5},{1,3,6}]=>[{1,3,6},{4,5},{2}]=>[3,2,1]
[{2},{4,6},{1,3,5}]=>[{1,3,5},{4,6},{2}]=>[3,2,1]
[{2},{5,6},{1,3,4}]=>[{1,3,4},{5,6},{2}]=>[3,2,1]
[{3},{2,4},{1,5,6}]=>[{1,5,6},{2,4},{3}]=>[3,2,1]
[{3},{2,5},{1,4,6}]=>[{1,4,6},{2,5},{3}]=>[3,2,1]
[{3},{2,6},{1,4,5}]=>[{1,4,5},{2,6},{3}]=>[3,2,1]
[{4},{2,3},{1,5,6}]=>[{1,5,6},{2,3},{4}]=>[3,2,1]
[{5},{2,3},{1,4,6}]=>[{1,4,6},{2,3},{5}]=>[3,2,1]
[{6},{2,3},{1,4,5}]=>[{1,4,5},{2,3},{6}]=>[3,2,1]
[{4},{2,5},{1,3,6}]=>[{1,3,6},{2,5},{4}]=>[3,2,1]
[{4},{2,6},{1,3,5}]=>[{1,3,5},{2,6},{4}]=>[3,2,1]
[{5},{2,4},{1,3,6}]=>[{1,3,6},{2,4},{5}]=>[3,2,1]
[{6},{2,4},{1,3,5}]=>[{1,3,5},{2,4},{6}]=>[3,2,1]
[{5},{2,6},{1,3,4}]=>[{1,3,4},{2,6},{5}]=>[3,2,1]
[{6},{2,5},{1,3,4}]=>[{1,3,4},{2,5},{6}]=>[3,2,1]
[{3},{4,5},{1,2,6}]=>[{1,2,6},{4,5},{3}]=>[3,2,1]
[{3},{4,6},{1,2,5}]=>[{1,2,5},{4,6},{3}]=>[3,2,1]
[{3},{5,6},{1,2,4}]=>[{1,2,4},{5,6},{3}]=>[3,2,1]
[{4},{3,5},{1,2,6}]=>[{1,2,6},{3,5},{4}]=>[3,2,1]
[{4},{3,6},{1,2,5}]=>[{1,2,5},{3,6},{4}]=>[3,2,1]
[{5},{3,4},{1,2,6}]=>[{1,2,6},{3,4},{5}]=>[3,2,1]
[{6},{3,4},{1,2,5}]=>[{1,2,5},{3,4},{6}]=>[3,2,1]
[{5},{3,6},{1,2,4}]=>[{1,2,4},{3,6},{5}]=>[3,2,1]
[{6},{3,5},{1,2,4}]=>[{1,2,4},{3,5},{6}]=>[3,2,1]
[{4},{5,6},{1,2,3}]=>[{1,2,3},{5,6},{4}]=>[3,2,1]
[{5},{4,6},{1,2,3}]=>[{1,2,3},{4,6},{5}]=>[3,2,1]
[{6},{4,5},{1,2,3}]=>[{1,2,3},{4,5},{6}]=>[3,2,1]
[{1},{2,3,4},{5},{6}]=>[{6},{5},{2,3,4},{1}]=>[1,1,3,1]
[{1},{2,3,4},{6},{5}]=>[{5},{6},{2,3,4},{1}]=>[1,1,3,1]
[{1},{2,3,5},{4},{6}]=>[{6},{4},{2,3,5},{1}]=>[1,1,3,1]
[{1},{2,3,6},{4},{5}]=>[{5},{4},{2,3,6},{1}]=>[1,1,3,1]
[{1},{2,3,5},{6},{4}]=>[{4},{6},{2,3,5},{1}]=>[1,1,3,1]
[{1},{2,3,6},{5},{4}]=>[{4},{5},{2,3,6},{1}]=>[1,1,3,1]
[{1},{2,4,5},{3},{6}]=>[{6},{3},{2,4,5},{1}]=>[1,1,3,1]
[{1},{2,4,6},{3},{5}]=>[{5},{3},{2,4,6},{1}]=>[1,1,3,1]
[{1},{2,5,6},{3},{4}]=>[{4},{3},{2,5,6},{1}]=>[1,1,3,1]
[{1},{2,4,5},{6},{3}]=>[{3},{6},{2,4,5},{1}]=>[1,1,3,1]
[{1},{2,4,6},{5},{3}]=>[{3},{5},{2,4,6},{1}]=>[1,1,3,1]
[{1},{2,5,6},{4},{3}]=>[{3},{4},{2,5,6},{1}]=>[1,1,3,1]
[{1},{3,4,5},{2},{6}]=>[{6},{2},{3,4,5},{1}]=>[1,1,3,1]
[{1},{3,4,6},{2},{5}]=>[{5},{2},{3,4,6},{1}]=>[1,1,3,1]
[{1},{3,5,6},{2},{4}]=>[{4},{2},{3,5,6},{1}]=>[1,1,3,1]
[{1},{4,5,6},{2},{3}]=>[{3},{2},{4,5,6},{1}]=>[1,1,3,1]
[{1},{3,4,5},{6},{2}]=>[{2},{6},{3,4,5},{1}]=>[1,1,3,1]
[{1},{3,4,6},{5},{2}]=>[{2},{5},{3,4,6},{1}]=>[1,1,3,1]
[{1},{3,5,6},{4},{2}]=>[{2},{4},{3,5,6},{1}]=>[1,1,3,1]
[{1},{4,5,6},{3},{2}]=>[{2},{3},{4,5,6},{1}]=>[1,1,3,1]
[{2},{1,3,4},{5},{6}]=>[{6},{5},{1,3,4},{2}]=>[1,1,3,1]
[{2},{1,3,4},{6},{5}]=>[{5},{6},{1,3,4},{2}]=>[1,1,3,1]
[{2},{1,3,5},{4},{6}]=>[{6},{4},{1,3,5},{2}]=>[1,1,3,1]
[{2},{1,3,6},{4},{5}]=>[{5},{4},{1,3,6},{2}]=>[1,1,3,1]
[{2},{1,3,5},{6},{4}]=>[{4},{6},{1,3,5},{2}]=>[1,1,3,1]
[{2},{1,3,6},{5},{4}]=>[{4},{5},{1,3,6},{2}]=>[1,1,3,1]
[{2},{1,4,5},{3},{6}]=>[{6},{3},{1,4,5},{2}]=>[1,1,3,1]
[{2},{1,4,6},{3},{5}]=>[{5},{3},{1,4,6},{2}]=>[1,1,3,1]
[{2},{1,5,6},{3},{4}]=>[{4},{3},{1,5,6},{2}]=>[1,1,3,1]
[{2},{1,4,5},{6},{3}]=>[{3},{6},{1,4,5},{2}]=>[1,1,3,1]
[{2},{1,4,6},{5},{3}]=>[{3},{5},{1,4,6},{2}]=>[1,1,3,1]
[{2},{1,5,6},{4},{3}]=>[{3},{4},{1,5,6},{2}]=>[1,1,3,1]
[{3},{1,2,4},{5},{6}]=>[{6},{5},{1,2,4},{3}]=>[1,1,3,1]
[{3},{1,2,4},{6},{5}]=>[{5},{6},{1,2,4},{3}]=>[1,1,3,1]
[{3},{1,2,5},{4},{6}]=>[{6},{4},{1,2,5},{3}]=>[1,1,3,1]
[{3},{1,2,6},{4},{5}]=>[{5},{4},{1,2,6},{3}]=>[1,1,3,1]
[{3},{1,2,5},{6},{4}]=>[{4},{6},{1,2,5},{3}]=>[1,1,3,1]
[{3},{1,2,6},{5},{4}]=>[{4},{5},{1,2,6},{3}]=>[1,1,3,1]
[{4},{1,2,3},{5},{6}]=>[{6},{5},{1,2,3},{4}]=>[1,1,3,1]
[{4},{1,2,3},{6},{5}]=>[{5},{6},{1,2,3},{4}]=>[1,1,3,1]
[{5},{1,2,3},{4},{6}]=>[{6},{4},{1,2,3},{5}]=>[1,1,3,1]
[{6},{1,2,3},{4},{5}]=>[{5},{4},{1,2,3},{6}]=>[1,1,3,1]
[{5},{1,2,3},{6},{4}]=>[{4},{6},{1,2,3},{5}]=>[1,1,3,1]
[{6},{1,2,3},{5},{4}]=>[{4},{5},{1,2,3},{6}]=>[1,1,3,1]
[{4},{1,2,5},{3},{6}]=>[{6},{3},{1,2,5},{4}]=>[1,1,3,1]
[{4},{1,2,6},{3},{5}]=>[{5},{3},{1,2,6},{4}]=>[1,1,3,1]
[{5},{1,2,4},{3},{6}]=>[{6},{3},{1,2,4},{5}]=>[1,1,3,1]
[{6},{1,2,4},{3},{5}]=>[{5},{3},{1,2,4},{6}]=>[1,1,3,1]
[{5},{1,2,6},{3},{4}]=>[{4},{3},{1,2,6},{5}]=>[1,1,3,1]
[{6},{1,2,5},{3},{4}]=>[{4},{3},{1,2,5},{6}]=>[1,1,3,1]
[{4},{1,2,5},{6},{3}]=>[{3},{6},{1,2,5},{4}]=>[1,1,3,1]
[{4},{1,2,6},{5},{3}]=>[{3},{5},{1,2,6},{4}]=>[1,1,3,1]
[{5},{1,2,4},{6},{3}]=>[{3},{6},{1,2,4},{5}]=>[1,1,3,1]
[{6},{1,2,4},{5},{3}]=>[{3},{5},{1,2,4},{6}]=>[1,1,3,1]
[{5},{1,2,6},{4},{3}]=>[{3},{4},{1,2,6},{5}]=>[1,1,3,1]
[{6},{1,2,5},{4},{3}]=>[{3},{4},{1,2,5},{6}]=>[1,1,3,1]
[{3},{1,4,5},{2},{6}]=>[{6},{2},{1,4,5},{3}]=>[1,1,3,1]
[{3},{1,4,6},{2},{5}]=>[{5},{2},{1,4,6},{3}]=>[1,1,3,1]
[{3},{1,5,6},{2},{4}]=>[{4},{2},{1,5,6},{3}]=>[1,1,3,1]
[{4},{1,3,5},{2},{6}]=>[{6},{2},{1,3,5},{4}]=>[1,1,3,1]
[{4},{1,3,6},{2},{5}]=>[{5},{2},{1,3,6},{4}]=>[1,1,3,1]
[{5},{1,3,4},{2},{6}]=>[{6},{2},{1,3,4},{5}]=>[1,1,3,1]
[{6},{1,3,4},{2},{5}]=>[{5},{2},{1,3,4},{6}]=>[1,1,3,1]
[{5},{1,3,6},{2},{4}]=>[{4},{2},{1,3,6},{5}]=>[1,1,3,1]
[{6},{1,3,5},{2},{4}]=>[{4},{2},{1,3,5},{6}]=>[1,1,3,1]
[{4},{1,5,6},{2},{3}]=>[{3},{2},{1,5,6},{4}]=>[1,1,3,1]
[{5},{1,4,6},{2},{3}]=>[{3},{2},{1,4,6},{5}]=>[1,1,3,1]
[{6},{1,4,5},{2},{3}]=>[{3},{2},{1,4,5},{6}]=>[1,1,3,1]
[{3},{1,4,5},{6},{2}]=>[{2},{6},{1,4,5},{3}]=>[1,1,3,1]
[{3},{1,4,6},{5},{2}]=>[{2},{5},{1,4,6},{3}]=>[1,1,3,1]
[{3},{1,5,6},{4},{2}]=>[{2},{4},{1,5,6},{3}]=>[1,1,3,1]
[{4},{1,3,5},{6},{2}]=>[{2},{6},{1,3,5},{4}]=>[1,1,3,1]
[{4},{1,3,6},{5},{2}]=>[{2},{5},{1,3,6},{4}]=>[1,1,3,1]
[{5},{1,3,4},{6},{2}]=>[{2},{6},{1,3,4},{5}]=>[1,1,3,1]
[{6},{1,3,4},{5},{2}]=>[{2},{5},{1,3,4},{6}]=>[1,1,3,1]
[{5},{1,3,6},{4},{2}]=>[{2},{4},{1,3,6},{5}]=>[1,1,3,1]
[{6},{1,3,5},{4},{2}]=>[{2},{4},{1,3,5},{6}]=>[1,1,3,1]
[{4},{1,5,6},{3},{2}]=>[{2},{3},{1,5,6},{4}]=>[1,1,3,1]
[{5},{1,4,6},{3},{2}]=>[{2},{3},{1,4,6},{5}]=>[1,1,3,1]
[{6},{1,4,5},{3},{2}]=>[{2},{3},{1,4,5},{6}]=>[1,1,3,1]
[{2},{3,4,5},{1},{6}]=>[{6},{1},{3,4,5},{2}]=>[1,1,3,1]
[{2},{3,4,6},{1},{5}]=>[{5},{1},{3,4,6},{2}]=>[1,1,3,1]
[{2},{3,5,6},{1},{4}]=>[{4},{1},{3,5,6},{2}]=>[1,1,3,1]
[{2},{4,5,6},{1},{3}]=>[{3},{1},{4,5,6},{2}]=>[1,1,3,1]
[{3},{2,4,5},{1},{6}]=>[{6},{1},{2,4,5},{3}]=>[1,1,3,1]
[{3},{2,4,6},{1},{5}]=>[{5},{1},{2,4,6},{3}]=>[1,1,3,1]
[{3},{2,5,6},{1},{4}]=>[{4},{1},{2,5,6},{3}]=>[1,1,3,1]
[{4},{2,3,5},{1},{6}]=>[{6},{1},{2,3,5},{4}]=>[1,1,3,1]
[{4},{2,3,6},{1},{5}]=>[{5},{1},{2,3,6},{4}]=>[1,1,3,1]
[{5},{2,3,4},{1},{6}]=>[{6},{1},{2,3,4},{5}]=>[1,1,3,1]
[{6},{2,3,4},{1},{5}]=>[{5},{1},{2,3,4},{6}]=>[1,1,3,1]
[{5},{2,3,6},{1},{4}]=>[{4},{1},{2,3,6},{5}]=>[1,1,3,1]
[{6},{2,3,5},{1},{4}]=>[{4},{1},{2,3,5},{6}]=>[1,1,3,1]
[{4},{2,5,6},{1},{3}]=>[{3},{1},{2,5,6},{4}]=>[1,1,3,1]
[{5},{2,4,6},{1},{3}]=>[{3},{1},{2,4,6},{5}]=>[1,1,3,1]
[{6},{2,4,5},{1},{3}]=>[{3},{1},{2,4,5},{6}]=>[1,1,3,1]
[{3},{4,5,6},{1},{2}]=>[{2},{1},{4,5,6},{3}]=>[1,1,3,1]
[{4},{3,5,6},{1},{2}]=>[{2},{1},{3,5,6},{4}]=>[1,1,3,1]
[{5},{3,4,6},{1},{2}]=>[{2},{1},{3,4,6},{5}]=>[1,1,3,1]
[{6},{3,4,5},{1},{2}]=>[{2},{1},{3,4,5},{6}]=>[1,1,3,1]
[{2},{3,4,5},{6},{1}]=>[{1},{6},{3,4,5},{2}]=>[1,1,3,1]
[{2},{3,4,6},{5},{1}]=>[{1},{5},{3,4,6},{2}]=>[1,1,3,1]
[{2},{3,5,6},{4},{1}]=>[{1},{4},{3,5,6},{2}]=>[1,1,3,1]
[{2},{4,5,6},{3},{1}]=>[{1},{3},{4,5,6},{2}]=>[1,1,3,1]
[{3},{2,4,5},{6},{1}]=>[{1},{6},{2,4,5},{3}]=>[1,1,3,1]
[{3},{2,4,6},{5},{1}]=>[{1},{5},{2,4,6},{3}]=>[1,1,3,1]
[{3},{2,5,6},{4},{1}]=>[{1},{4},{2,5,6},{3}]=>[1,1,3,1]
[{4},{2,3,5},{6},{1}]=>[{1},{6},{2,3,5},{4}]=>[1,1,3,1]
[{4},{2,3,6},{5},{1}]=>[{1},{5},{2,3,6},{4}]=>[1,1,3,1]
[{5},{2,3,4},{6},{1}]=>[{1},{6},{2,3,4},{5}]=>[1,1,3,1]
[{6},{2,3,4},{5},{1}]=>[{1},{5},{2,3,4},{6}]=>[1,1,3,1]
[{5},{2,3,6},{4},{1}]=>[{1},{4},{2,3,6},{5}]=>[1,1,3,1]
[{6},{2,3,5},{4},{1}]=>[{1},{4},{2,3,5},{6}]=>[1,1,3,1]
[{4},{2,5,6},{3},{1}]=>[{1},{3},{2,5,6},{4}]=>[1,1,3,1]
[{5},{2,4,6},{3},{1}]=>[{1},{3},{2,4,6},{5}]=>[1,1,3,1]
[{6},{2,4,5},{3},{1}]=>[{1},{3},{2,4,5},{6}]=>[1,1,3,1]
[{3},{4,5,6},{2},{1}]=>[{1},{2},{4,5,6},{3}]=>[1,1,3,1]
[{4},{3,5,6},{2},{1}]=>[{1},{2},{3,5,6},{4}]=>[1,1,3,1]
[{5},{3,4,6},{2},{1}]=>[{1},{2},{3,4,6},{5}]=>[1,1,3,1]
[{6},{3,4,5},{2},{1}]=>[{1},{2},{3,4,5},{6}]=>[1,1,3,1]
[{1},{2,3,4},{5,6}]=>[{5,6},{2,3,4},{1}]=>[2,3,1]
[{1},{2,3,5},{4,6}]=>[{4,6},{2,3,5},{1}]=>[2,3,1]
[{1},{2,3,6},{4,5}]=>[{4,5},{2,3,6},{1}]=>[2,3,1]
[{1},{2,4,5},{3,6}]=>[{3,6},{2,4,5},{1}]=>[2,3,1]
[{1},{2,4,6},{3,5}]=>[{3,5},{2,4,6},{1}]=>[2,3,1]
[{1},{2,5,6},{3,4}]=>[{3,4},{2,5,6},{1}]=>[2,3,1]
[{1},{3,4,5},{2,6}]=>[{2,6},{3,4,5},{1}]=>[2,3,1]
[{1},{3,4,6},{2,5}]=>[{2,5},{3,4,6},{1}]=>[2,3,1]
[{1},{3,5,6},{2,4}]=>[{2,4},{3,5,6},{1}]=>[2,3,1]
[{1},{4,5,6},{2,3}]=>[{2,3},{4,5,6},{1}]=>[2,3,1]
[{2},{1,3,4},{5,6}]=>[{5,6},{1,3,4},{2}]=>[2,3,1]
[{2},{1,3,5},{4,6}]=>[{4,6},{1,3,5},{2}]=>[2,3,1]
[{2},{1,3,6},{4,5}]=>[{4,5},{1,3,6},{2}]=>[2,3,1]
[{2},{1,4,5},{3,6}]=>[{3,6},{1,4,5},{2}]=>[2,3,1]
[{2},{1,4,6},{3,5}]=>[{3,5},{1,4,6},{2}]=>[2,3,1]
[{2},{1,5,6},{3,4}]=>[{3,4},{1,5,6},{2}]=>[2,3,1]
[{3},{1,2,4},{5,6}]=>[{5,6},{1,2,4},{3}]=>[2,3,1]
[{3},{1,2,5},{4,6}]=>[{4,6},{1,2,5},{3}]=>[2,3,1]
[{3},{1,2,6},{4,5}]=>[{4,5},{1,2,6},{3}]=>[2,3,1]
[{4},{1,2,3},{5,6}]=>[{5,6},{1,2,3},{4}]=>[2,3,1]
[{5},{1,2,3},{4,6}]=>[{4,6},{1,2,3},{5}]=>[2,3,1]
[{6},{1,2,3},{4,5}]=>[{4,5},{1,2,3},{6}]=>[2,3,1]
[{4},{1,2,5},{3,6}]=>[{3,6},{1,2,5},{4}]=>[2,3,1]
[{4},{1,2,6},{3,5}]=>[{3,5},{1,2,6},{4}]=>[2,3,1]
[{5},{1,2,4},{3,6}]=>[{3,6},{1,2,4},{5}]=>[2,3,1]
[{6},{1,2,4},{3,5}]=>[{3,5},{1,2,4},{6}]=>[2,3,1]
[{5},{1,2,6},{3,4}]=>[{3,4},{1,2,6},{5}]=>[2,3,1]
[{6},{1,2,5},{3,4}]=>[{3,4},{1,2,5},{6}]=>[2,3,1]
[{3},{1,4,5},{2,6}]=>[{2,6},{1,4,5},{3}]=>[2,3,1]
[{3},{1,4,6},{2,5}]=>[{2,5},{1,4,6},{3}]=>[2,3,1]
[{3},{1,5,6},{2,4}]=>[{2,4},{1,5,6},{3}]=>[2,3,1]
[{4},{1,3,5},{2,6}]=>[{2,6},{1,3,5},{4}]=>[2,3,1]
[{4},{1,3,6},{2,5}]=>[{2,5},{1,3,6},{4}]=>[2,3,1]
[{5},{1,3,4},{2,6}]=>[{2,6},{1,3,4},{5}]=>[2,3,1]
[{6},{1,3,4},{2,5}]=>[{2,5},{1,3,4},{6}]=>[2,3,1]
[{5},{1,3,6},{2,4}]=>[{2,4},{1,3,6},{5}]=>[2,3,1]
[{6},{1,3,5},{2,4}]=>[{2,4},{1,3,5},{6}]=>[2,3,1]
[{4},{1,5,6},{2,3}]=>[{2,3},{1,5,6},{4}]=>[2,3,1]
[{5},{1,4,6},{2,3}]=>[{2,3},{1,4,6},{5}]=>[2,3,1]
[{6},{1,4,5},{2,3}]=>[{2,3},{1,4,5},{6}]=>[2,3,1]
[{2},{3,4,5},{1,6}]=>[{1,6},{3,4,5},{2}]=>[2,3,1]
[{2},{3,4,6},{1,5}]=>[{1,5},{3,4,6},{2}]=>[2,3,1]
[{2},{3,5,6},{1,4}]=>[{1,4},{3,5,6},{2}]=>[2,3,1]
[{2},{4,5,6},{1,3}]=>[{1,3},{4,5,6},{2}]=>[2,3,1]
[{3},{2,4,5},{1,6}]=>[{1,6},{2,4,5},{3}]=>[2,3,1]
[{3},{2,4,6},{1,5}]=>[{1,5},{2,4,6},{3}]=>[2,3,1]
[{3},{2,5,6},{1,4}]=>[{1,4},{2,5,6},{3}]=>[2,3,1]
[{4},{2,3,5},{1,6}]=>[{1,6},{2,3,5},{4}]=>[2,3,1]
[{4},{2,3,6},{1,5}]=>[{1,5},{2,3,6},{4}]=>[2,3,1]
[{5},{2,3,4},{1,6}]=>[{1,6},{2,3,4},{5}]=>[2,3,1]
[{6},{2,3,4},{1,5}]=>[{1,5},{2,3,4},{6}]=>[2,3,1]
[{5},{2,3,6},{1,4}]=>[{1,4},{2,3,6},{5}]=>[2,3,1]
[{6},{2,3,5},{1,4}]=>[{1,4},{2,3,5},{6}]=>[2,3,1]
[{4},{2,5,6},{1,3}]=>[{1,3},{2,5,6},{4}]=>[2,3,1]
[{5},{2,4,6},{1,3}]=>[{1,3},{2,4,6},{5}]=>[2,3,1]
[{6},{2,4,5},{1,3}]=>[{1,3},{2,4,5},{6}]=>[2,3,1]
[{3},{4,5,6},{1,2}]=>[{1,2},{4,5,6},{3}]=>[2,3,1]
[{4},{3,5,6},{1,2}]=>[{1,2},{3,5,6},{4}]=>[2,3,1]
[{5},{3,4,6},{1,2}]=>[{1,2},{3,4,6},{5}]=>[2,3,1]
[{6},{3,4,5},{1,2}]=>[{1,2},{3,4,5},{6}]=>[2,3,1]
[{1},{2,3,4,5},{6}]=>[{6},{2,3,4,5},{1}]=>[1,4,1]
[{1},{2,3,4,6},{5}]=>[{5},{2,3,4,6},{1}]=>[1,4,1]
[{1},{2,3,5,6},{4}]=>[{4},{2,3,5,6},{1}]=>[1,4,1]
[{1},{2,4,5,6},{3}]=>[{3},{2,4,5,6},{1}]=>[1,4,1]
[{1},{3,4,5,6},{2}]=>[{2},{3,4,5,6},{1}]=>[1,4,1]
[{2},{1,3,4,5},{6}]=>[{6},{1,3,4,5},{2}]=>[1,4,1]
[{2},{1,3,4,6},{5}]=>[{5},{1,3,4,6},{2}]=>[1,4,1]
[{2},{1,3,5,6},{4}]=>[{4},{1,3,5,6},{2}]=>[1,4,1]
[{2},{1,4,5,6},{3}]=>[{3},{1,4,5,6},{2}]=>[1,4,1]
[{3},{1,2,4,5},{6}]=>[{6},{1,2,4,5},{3}]=>[1,4,1]
[{3},{1,2,4,6},{5}]=>[{5},{1,2,4,6},{3}]=>[1,4,1]
[{3},{1,2,5,6},{4}]=>[{4},{1,2,5,6},{3}]=>[1,4,1]
[{4},{1,2,3,5},{6}]=>[{6},{1,2,3,5},{4}]=>[1,4,1]
[{4},{1,2,3,6},{5}]=>[{5},{1,2,3,6},{4}]=>[1,4,1]
[{5},{1,2,3,4},{6}]=>[{6},{1,2,3,4},{5}]=>[1,4,1]
[{6},{1,2,3,4},{5}]=>[{5},{1,2,3,4},{6}]=>[1,4,1]
[{5},{1,2,3,6},{4}]=>[{4},{1,2,3,6},{5}]=>[1,4,1]
[{6},{1,2,3,5},{4}]=>[{4},{1,2,3,5},{6}]=>[1,4,1]
[{4},{1,2,5,6},{3}]=>[{3},{1,2,5,6},{4}]=>[1,4,1]
[{5},{1,2,4,6},{3}]=>[{3},{1,2,4,6},{5}]=>[1,4,1]
[{6},{1,2,4,5},{3}]=>[{3},{1,2,4,5},{6}]=>[1,4,1]
[{3},{1,4,5,6},{2}]=>[{2},{1,4,5,6},{3}]=>[1,4,1]
[{4},{1,3,5,6},{2}]=>[{2},{1,3,5,6},{4}]=>[1,4,1]
[{5},{1,3,4,6},{2}]=>[{2},{1,3,4,6},{5}]=>[1,4,1]
[{6},{1,3,4,5},{2}]=>[{2},{1,3,4,5},{6}]=>[1,4,1]
[{2},{3,4,5,6},{1}]=>[{1},{3,4,5,6},{2}]=>[1,4,1]
[{3},{2,4,5,6},{1}]=>[{1},{2,4,5,6},{3}]=>[1,4,1]
[{4},{2,3,5,6},{1}]=>[{1},{2,3,5,6},{4}]=>[1,4,1]
[{5},{2,3,4,6},{1}]=>[{1},{2,3,4,6},{5}]=>[1,4,1]
[{6},{2,3,4,5},{1}]=>[{1},{2,3,4,5},{6}]=>[1,4,1]
[{1},{2,3,4,5,6}]=>[{2,3,4,5,6},{1}]=>[5,1]
[{2},{1,3,4,5,6}]=>[{1,3,4,5,6},{2}]=>[5,1]
[{3},{1,2,4,5,6}]=>[{1,2,4,5,6},{3}]=>[5,1]
[{4},{1,2,3,5,6}]=>[{1,2,3,5,6},{4}]=>[5,1]
[{5},{1,2,3,4,6}]=>[{1,2,3,4,6},{5}]=>[5,1]
[{6},{1,2,3,4,5}]=>[{1,2,3,4,5},{6}]=>[5,1]
[{1,2},{3},{4},{5},{6}]=>[{6},{5},{4},{3},{1,2}]=>[1,1,1,1,2]
[{1,2},{3},{4},{6},{5}]=>[{5},{6},{4},{3},{1,2}]=>[1,1,1,1,2]
[{1,2},{3},{5},{4},{6}]=>[{6},{4},{5},{3},{1,2}]=>[1,1,1,1,2]
[{1,2},{3},{6},{4},{5}]=>[{5},{4},{6},{3},{1,2}]=>[1,1,1,1,2]
[{1,2},{3},{5},{6},{4}]=>[{4},{6},{5},{3},{1,2}]=>[1,1,1,1,2]
[{1,2},{3},{6},{5},{4}]=>[{4},{5},{6},{3},{1,2}]=>[1,1,1,1,2]
[{1,2},{4},{3},{5},{6}]=>[{6},{5},{3},{4},{1,2}]=>[1,1,1,1,2]
[{1,2},{4},{3},{6},{5}]=>[{5},{6},{3},{4},{1,2}]=>[1,1,1,1,2]
[{1,2},{5},{3},{4},{6}]=>[{6},{4},{3},{5},{1,2}]=>[1,1,1,1,2]
[{1,2},{6},{3},{4},{5}]=>[{5},{4},{3},{6},{1,2}]=>[1,1,1,1,2]
[{1,2},{5},{3},{6},{4}]=>[{4},{6},{3},{5},{1,2}]=>[1,1,1,1,2]
[{1,2},{6},{3},{5},{4}]=>[{4},{5},{3},{6},{1,2}]=>[1,1,1,1,2]
[{1,2},{4},{5},{3},{6}]=>[{6},{3},{5},{4},{1,2}]=>[1,1,1,1,2]
[{1,2},{4},{6},{3},{5}]=>[{5},{3},{6},{4},{1,2}]=>[1,1,1,1,2]
[{1,2},{5},{4},{3},{6}]=>[{6},{3},{4},{5},{1,2}]=>[1,1,1,1,2]
[{1,2},{6},{4},{3},{5}]=>[{5},{3},{4},{6},{1,2}]=>[1,1,1,1,2]
[{1,2},{5},{6},{3},{4}]=>[{4},{3},{6},{5},{1,2}]=>[1,1,1,1,2]
[{1,2},{6},{5},{3},{4}]=>[{4},{3},{5},{6},{1,2}]=>[1,1,1,1,2]
[{1,2},{4},{5},{6},{3}]=>[{3},{6},{5},{4},{1,2}]=>[1,1,1,1,2]
[{1,2},{4},{6},{5},{3}]=>[{3},{5},{6},{4},{1,2}]=>[1,1,1,1,2]
[{1,2},{5},{4},{6},{3}]=>[{3},{6},{4},{5},{1,2}]=>[1,1,1,1,2]
[{1,2},{6},{4},{5},{3}]=>[{3},{5},{4},{6},{1,2}]=>[1,1,1,1,2]
[{1,2},{5},{6},{4},{3}]=>[{3},{4},{6},{5},{1,2}]=>[1,1,1,1,2]
[{1,2},{6},{5},{4},{3}]=>[{3},{4},{5},{6},{1,2}]=>[1,1,1,1,2]
[{1,3},{2},{4},{5},{6}]=>[{6},{5},{4},{2},{1,3}]=>[1,1,1,1,2]
[{1,3},{2},{4},{6},{5}]=>[{5},{6},{4},{2},{1,3}]=>[1,1,1,1,2]
[{1,3},{2},{5},{4},{6}]=>[{6},{4},{5},{2},{1,3}]=>[1,1,1,1,2]
[{1,3},{2},{6},{4},{5}]=>[{5},{4},{6},{2},{1,3}]=>[1,1,1,1,2]
[{1,3},{2},{5},{6},{4}]=>[{4},{6},{5},{2},{1,3}]=>[1,1,1,1,2]
[{1,3},{2},{6},{5},{4}]=>[{4},{5},{6},{2},{1,3}]=>[1,1,1,1,2]
[{1,4},{2},{3},{5},{6}]=>[{6},{5},{3},{2},{1,4}]=>[1,1,1,1,2]
[{1,4},{2},{3},{6},{5}]=>[{5},{6},{3},{2},{1,4}]=>[1,1,1,1,2]
[{1,5},{2},{3},{4},{6}]=>[{6},{4},{3},{2},{1,5}]=>[1,1,1,1,2]
[{1,6},{2},{3},{4},{5}]=>[{5},{4},{3},{2},{1,6}]=>[1,1,1,1,2]
[{1,5},{2},{3},{6},{4}]=>[{4},{6},{3},{2},{1,5}]=>[1,1,1,1,2]
[{1,6},{2},{3},{5},{4}]=>[{4},{5},{3},{2},{1,6}]=>[1,1,1,1,2]
[{1,4},{2},{5},{3},{6}]=>[{6},{3},{5},{2},{1,4}]=>[1,1,1,1,2]
[{1,4},{2},{6},{3},{5}]=>[{5},{3},{6},{2},{1,4}]=>[1,1,1,1,2]
[{1,5},{2},{4},{3},{6}]=>[{6},{3},{4},{2},{1,5}]=>[1,1,1,1,2]
[{1,6},{2},{4},{3},{5}]=>[{5},{3},{4},{2},{1,6}]=>[1,1,1,1,2]
[{1,5},{2},{6},{3},{4}]=>[{4},{3},{6},{2},{1,5}]=>[1,1,1,1,2]
[{1,6},{2},{5},{3},{4}]=>[{4},{3},{5},{2},{1,6}]=>[1,1,1,1,2]
[{1,4},{2},{5},{6},{3}]=>[{3},{6},{5},{2},{1,4}]=>[1,1,1,1,2]
[{1,4},{2},{6},{5},{3}]=>[{3},{5},{6},{2},{1,4}]=>[1,1,1,1,2]
[{1,5},{2},{4},{6},{3}]=>[{3},{6},{4},{2},{1,5}]=>[1,1,1,1,2]
[{1,6},{2},{4},{5},{3}]=>[{3},{5},{4},{2},{1,6}]=>[1,1,1,1,2]
[{1,5},{2},{6},{4},{3}]=>[{3},{4},{6},{2},{1,5}]=>[1,1,1,1,2]
[{1,6},{2},{5},{4},{3}]=>[{3},{4},{5},{2},{1,6}]=>[1,1,1,1,2]
[{1,3},{4},{2},{5},{6}]=>[{6},{5},{2},{4},{1,3}]=>[1,1,1,1,2]
[{1,3},{4},{2},{6},{5}]=>[{5},{6},{2},{4},{1,3}]=>[1,1,1,1,2]
[{1,3},{5},{2},{4},{6}]=>[{6},{4},{2},{5},{1,3}]=>[1,1,1,1,2]
[{1,3},{6},{2},{4},{5}]=>[{5},{4},{2},{6},{1,3}]=>[1,1,1,1,2]
[{1,3},{5},{2},{6},{4}]=>[{4},{6},{2},{5},{1,3}]=>[1,1,1,1,2]
[{1,3},{6},{2},{5},{4}]=>[{4},{5},{2},{6},{1,3}]=>[1,1,1,1,2]
[{1,4},{3},{2},{5},{6}]=>[{6},{5},{2},{3},{1,4}]=>[1,1,1,1,2]
[{1,4},{3},{2},{6},{5}]=>[{5},{6},{2},{3},{1,4}]=>[1,1,1,1,2]
[{1,5},{3},{2},{4},{6}]=>[{6},{4},{2},{3},{1,5}]=>[1,1,1,1,2]
[{1,6},{3},{2},{4},{5}]=>[{5},{4},{2},{3},{1,6}]=>[1,1,1,1,2]
[{1,5},{3},{2},{6},{4}]=>[{4},{6},{2},{3},{1,5}]=>[1,1,1,1,2]
[{1,6},{3},{2},{5},{4}]=>[{4},{5},{2},{3},{1,6}]=>[1,1,1,1,2]
[{1,4},{5},{2},{3},{6}]=>[{6},{3},{2},{5},{1,4}]=>[1,1,1,1,2]
[{1,4},{6},{2},{3},{5}]=>[{5},{3},{2},{6},{1,4}]=>[1,1,1,1,2]
[{1,5},{4},{2},{3},{6}]=>[{6},{3},{2},{4},{1,5}]=>[1,1,1,1,2]
[{1,6},{4},{2},{3},{5}]=>[{5},{3},{2},{4},{1,6}]=>[1,1,1,1,2]
[{1,5},{6},{2},{3},{4}]=>[{4},{3},{2},{6},{1,5}]=>[1,1,1,1,2]
[{1,6},{5},{2},{3},{4}]=>[{4},{3},{2},{5},{1,6}]=>[1,1,1,1,2]
[{1,4},{5},{2},{6},{3}]=>[{3},{6},{2},{5},{1,4}]=>[1,1,1,1,2]
[{1,4},{6},{2},{5},{3}]=>[{3},{5},{2},{6},{1,4}]=>[1,1,1,1,2]
[{1,5},{4},{2},{6},{3}]=>[{3},{6},{2},{4},{1,5}]=>[1,1,1,1,2]
[{1,6},{4},{2},{5},{3}]=>[{3},{5},{2},{4},{1,6}]=>[1,1,1,1,2]
[{1,5},{6},{2},{4},{3}]=>[{3},{4},{2},{6},{1,5}]=>[1,1,1,1,2]
[{1,6},{5},{2},{4},{3}]=>[{3},{4},{2},{5},{1,6}]=>[1,1,1,1,2]
[{1,3},{4},{5},{2},{6}]=>[{6},{2},{5},{4},{1,3}]=>[1,1,1,1,2]
[{1,3},{4},{6},{2},{5}]=>[{5},{2},{6},{4},{1,3}]=>[1,1,1,1,2]
[{1,3},{5},{4},{2},{6}]=>[{6},{2},{4},{5},{1,3}]=>[1,1,1,1,2]
[{1,3},{6},{4},{2},{5}]=>[{5},{2},{4},{6},{1,3}]=>[1,1,1,1,2]
[{1,3},{5},{6},{2},{4}]=>[{4},{2},{6},{5},{1,3}]=>[1,1,1,1,2]
[{1,3},{6},{5},{2},{4}]=>[{4},{2},{5},{6},{1,3}]=>[1,1,1,1,2]
[{1,4},{3},{5},{2},{6}]=>[{6},{2},{5},{3},{1,4}]=>[1,1,1,1,2]
[{1,4},{3},{6},{2},{5}]=>[{5},{2},{6},{3},{1,4}]=>[1,1,1,1,2]
[{1,5},{3},{4},{2},{6}]=>[{6},{2},{4},{3},{1,5}]=>[1,1,1,1,2]
[{1,6},{3},{4},{2},{5}]=>[{5},{2},{4},{3},{1,6}]=>[1,1,1,1,2]
[{1,5},{3},{6},{2},{4}]=>[{4},{2},{6},{3},{1,5}]=>[1,1,1,1,2]
[{1,6},{3},{5},{2},{4}]=>[{4},{2},{5},{3},{1,6}]=>[1,1,1,1,2]
[{1,4},{5},{3},{2},{6}]=>[{6},{2},{3},{5},{1,4}]=>[1,1,1,1,2]
[{1,4},{6},{3},{2},{5}]=>[{5},{2},{3},{6},{1,4}]=>[1,1,1,1,2]
[{1,5},{4},{3},{2},{6}]=>[{6},{2},{3},{4},{1,5}]=>[1,1,1,1,2]
[{1,6},{4},{3},{2},{5}]=>[{5},{2},{3},{4},{1,6}]=>[1,1,1,1,2]
[{1,5},{6},{3},{2},{4}]=>[{4},{2},{3},{6},{1,5}]=>[1,1,1,1,2]
[{1,6},{5},{3},{2},{4}]=>[{4},{2},{3},{5},{1,6}]=>[1,1,1,1,2]
[{1,4},{5},{6},{2},{3}]=>[{3},{2},{6},{5},{1,4}]=>[1,1,1,1,2]
[{1,4},{6},{5},{2},{3}]=>[{3},{2},{5},{6},{1,4}]=>[1,1,1,1,2]
[{1,5},{4},{6},{2},{3}]=>[{3},{2},{6},{4},{1,5}]=>[1,1,1,1,2]
[{1,6},{4},{5},{2},{3}]=>[{3},{2},{5},{4},{1,6}]=>[1,1,1,1,2]
[{1,5},{6},{4},{2},{3}]=>[{3},{2},{4},{6},{1,5}]=>[1,1,1,1,2]
[{1,6},{5},{4},{2},{3}]=>[{3},{2},{4},{5},{1,6}]=>[1,1,1,1,2]
[{1,3},{4},{5},{6},{2}]=>[{2},{6},{5},{4},{1,3}]=>[1,1,1,1,2]
[{1,3},{4},{6},{5},{2}]=>[{2},{5},{6},{4},{1,3}]=>[1,1,1,1,2]
[{1,3},{5},{4},{6},{2}]=>[{2},{6},{4},{5},{1,3}]=>[1,1,1,1,2]
[{1,3},{6},{4},{5},{2}]=>[{2},{5},{4},{6},{1,3}]=>[1,1,1,1,2]
[{1,3},{5},{6},{4},{2}]=>[{2},{4},{6},{5},{1,3}]=>[1,1,1,1,2]
[{1,3},{6},{5},{4},{2}]=>[{2},{4},{5},{6},{1,3}]=>[1,1,1,1,2]
[{1,4},{3},{5},{6},{2}]=>[{2},{6},{5},{3},{1,4}]=>[1,1,1,1,2]
[{1,4},{3},{6},{5},{2}]=>[{2},{5},{6},{3},{1,4}]=>[1,1,1,1,2]
[{1,5},{3},{4},{6},{2}]=>[{2},{6},{4},{3},{1,5}]=>[1,1,1,1,2]
[{1,6},{3},{4},{5},{2}]=>[{2},{5},{4},{3},{1,6}]=>[1,1,1,1,2]
[{1,5},{3},{6},{4},{2}]=>[{2},{4},{6},{3},{1,5}]=>[1,1,1,1,2]
[{1,6},{3},{5},{4},{2}]=>[{2},{4},{5},{3},{1,6}]=>[1,1,1,1,2]
[{1,4},{5},{3},{6},{2}]=>[{2},{6},{3},{5},{1,4}]=>[1,1,1,1,2]
[{1,4},{6},{3},{5},{2}]=>[{2},{5},{3},{6},{1,4}]=>[1,1,1,1,2]
[{1,5},{4},{3},{6},{2}]=>[{2},{6},{3},{4},{1,5}]=>[1,1,1,1,2]
[{1,6},{4},{3},{5},{2}]=>[{2},{5},{3},{4},{1,6}]=>[1,1,1,1,2]
[{1,5},{6},{3},{4},{2}]=>[{2},{4},{3},{6},{1,5}]=>[1,1,1,1,2]
[{1,6},{5},{3},{4},{2}]=>[{2},{4},{3},{5},{1,6}]=>[1,1,1,1,2]
[{1,4},{5},{6},{3},{2}]=>[{2},{3},{6},{5},{1,4}]=>[1,1,1,1,2]
[{1,4},{6},{5},{3},{2}]=>[{2},{3},{5},{6},{1,4}]=>[1,1,1,1,2]
[{1,5},{4},{6},{3},{2}]=>[{2},{3},{6},{4},{1,5}]=>[1,1,1,1,2]
[{1,6},{4},{5},{3},{2}]=>[{2},{3},{5},{4},{1,6}]=>[1,1,1,1,2]
[{1,5},{6},{4},{3},{2}]=>[{2},{3},{4},{6},{1,5}]=>[1,1,1,1,2]
[{1,6},{5},{4},{3},{2}]=>[{2},{3},{4},{5},{1,6}]=>[1,1,1,1,2]
[{2,3},{1},{4},{5},{6}]=>[{6},{5},{4},{1},{2,3}]=>[1,1,1,1,2]
[{2,3},{1},{4},{6},{5}]=>[{5},{6},{4},{1},{2,3}]=>[1,1,1,1,2]
[{2,3},{1},{5},{4},{6}]=>[{6},{4},{5},{1},{2,3}]=>[1,1,1,1,2]
[{2,3},{1},{6},{4},{5}]=>[{5},{4},{6},{1},{2,3}]=>[1,1,1,1,2]
[{2,3},{1},{5},{6},{4}]=>[{4},{6},{5},{1},{2,3}]=>[1,1,1,1,2]
[{2,3},{1},{6},{5},{4}]=>[{4},{5},{6},{1},{2,3}]=>[1,1,1,1,2]
[{2,4},{1},{3},{5},{6}]=>[{6},{5},{3},{1},{2,4}]=>[1,1,1,1,2]
[{2,4},{1},{3},{6},{5}]=>[{5},{6},{3},{1},{2,4}]=>[1,1,1,1,2]
[{2,5},{1},{3},{4},{6}]=>[{6},{4},{3},{1},{2,5}]=>[1,1,1,1,2]
[{2,6},{1},{3},{4},{5}]=>[{5},{4},{3},{1},{2,6}]=>[1,1,1,1,2]
[{2,5},{1},{3},{6},{4}]=>[{4},{6},{3},{1},{2,5}]=>[1,1,1,1,2]
[{2,6},{1},{3},{5},{4}]=>[{4},{5},{3},{1},{2,6}]=>[1,1,1,1,2]
[{2,4},{1},{5},{3},{6}]=>[{6},{3},{5},{1},{2,4}]=>[1,1,1,1,2]
[{2,4},{1},{6},{3},{5}]=>[{5},{3},{6},{1},{2,4}]=>[1,1,1,1,2]
[{2,5},{1},{4},{3},{6}]=>[{6},{3},{4},{1},{2,5}]=>[1,1,1,1,2]
[{2,6},{1},{4},{3},{5}]=>[{5},{3},{4},{1},{2,6}]=>[1,1,1,1,2]
[{2,5},{1},{6},{3},{4}]=>[{4},{3},{6},{1},{2,5}]=>[1,1,1,1,2]
[{2,6},{1},{5},{3},{4}]=>[{4},{3},{5},{1},{2,6}]=>[1,1,1,1,2]
[{2,4},{1},{5},{6},{3}]=>[{3},{6},{5},{1},{2,4}]=>[1,1,1,1,2]
[{2,4},{1},{6},{5},{3}]=>[{3},{5},{6},{1},{2,4}]=>[1,1,1,1,2]
[{2,5},{1},{4},{6},{3}]=>[{3},{6},{4},{1},{2,5}]=>[1,1,1,1,2]
[{2,6},{1},{4},{5},{3}]=>[{3},{5},{4},{1},{2,6}]=>[1,1,1,1,2]
[{2,5},{1},{6},{4},{3}]=>[{3},{4},{6},{1},{2,5}]=>[1,1,1,1,2]
[{2,6},{1},{5},{4},{3}]=>[{3},{4},{5},{1},{2,6}]=>[1,1,1,1,2]
[{3,4},{1},{2},{5},{6}]=>[{6},{5},{2},{1},{3,4}]=>[1,1,1,1,2]
[{3,4},{1},{2},{6},{5}]=>[{5},{6},{2},{1},{3,4}]=>[1,1,1,1,2]
[{3,5},{1},{2},{4},{6}]=>[{6},{4},{2},{1},{3,5}]=>[1,1,1,1,2]
[{3,6},{1},{2},{4},{5}]=>[{5},{4},{2},{1},{3,6}]=>[1,1,1,1,2]
[{3,5},{1},{2},{6},{4}]=>[{4},{6},{2},{1},{3,5}]=>[1,1,1,1,2]
[{3,6},{1},{2},{5},{4}]=>[{4},{5},{2},{1},{3,6}]=>[1,1,1,1,2]
[{4,5},{1},{2},{3},{6}]=>[{6},{3},{2},{1},{4,5}]=>[1,1,1,1,2]
[{4,6},{1},{2},{3},{5}]=>[{5},{3},{2},{1},{4,6}]=>[1,1,1,1,2]
[{5,6},{1},{2},{3},{4}]=>[{4},{3},{2},{1},{5,6}]=>[1,1,1,1,2]
[{4,5},{1},{2},{6},{3}]=>[{3},{6},{2},{1},{4,5}]=>[1,1,1,1,2]
[{4,6},{1},{2},{5},{3}]=>[{3},{5},{2},{1},{4,6}]=>[1,1,1,1,2]
[{5,6},{1},{2},{4},{3}]=>[{3},{4},{2},{1},{5,6}]=>[1,1,1,1,2]
[{3,4},{1},{5},{2},{6}]=>[{6},{2},{5},{1},{3,4}]=>[1,1,1,1,2]
[{3,4},{1},{6},{2},{5}]=>[{5},{2},{6},{1},{3,4}]=>[1,1,1,1,2]
[{3,5},{1},{4},{2},{6}]=>[{6},{2},{4},{1},{3,5}]=>[1,1,1,1,2]
[{3,6},{1},{4},{2},{5}]=>[{5},{2},{4},{1},{3,6}]=>[1,1,1,1,2]
[{3,5},{1},{6},{2},{4}]=>[{4},{2},{6},{1},{3,5}]=>[1,1,1,1,2]
[{3,6},{1},{5},{2},{4}]=>[{4},{2},{5},{1},{3,6}]=>[1,1,1,1,2]
[{4,5},{1},{3},{2},{6}]=>[{6},{2},{3},{1},{4,5}]=>[1,1,1,1,2]
[{4,6},{1},{3},{2},{5}]=>[{5},{2},{3},{1},{4,6}]=>[1,1,1,1,2]
[{5,6},{1},{3},{2},{4}]=>[{4},{2},{3},{1},{5,6}]=>[1,1,1,1,2]
[{4,5},{1},{6},{2},{3}]=>[{3},{2},{6},{1},{4,5}]=>[1,1,1,1,2]
[{4,6},{1},{5},{2},{3}]=>[{3},{2},{5},{1},{4,6}]=>[1,1,1,1,2]
[{5,6},{1},{4},{2},{3}]=>[{3},{2},{4},{1},{5,6}]=>[1,1,1,1,2]
[{3,4},{1},{5},{6},{2}]=>[{2},{6},{5},{1},{3,4}]=>[1,1,1,1,2]
[{3,4},{1},{6},{5},{2}]=>[{2},{5},{6},{1},{3,4}]=>[1,1,1,1,2]
[{3,5},{1},{4},{6},{2}]=>[{2},{6},{4},{1},{3,5}]=>[1,1,1,1,2]
[{3,6},{1},{4},{5},{2}]=>[{2},{5},{4},{1},{3,6}]=>[1,1,1,1,2]
[{3,5},{1},{6},{4},{2}]=>[{2},{4},{6},{1},{3,5}]=>[1,1,1,1,2]
[{3,6},{1},{5},{4},{2}]=>[{2},{4},{5},{1},{3,6}]=>[1,1,1,1,2]
[{4,5},{1},{3},{6},{2}]=>[{2},{6},{3},{1},{4,5}]=>[1,1,1,1,2]
[{4,6},{1},{3},{5},{2}]=>[{2},{5},{3},{1},{4,6}]=>[1,1,1,1,2]
[{5,6},{1},{3},{4},{2}]=>[{2},{4},{3},{1},{5,6}]=>[1,1,1,1,2]
[{4,5},{1},{6},{3},{2}]=>[{2},{3},{6},{1},{4,5}]=>[1,1,1,1,2]
[{4,6},{1},{5},{3},{2}]=>[{2},{3},{5},{1},{4,6}]=>[1,1,1,1,2]
[{5,6},{1},{4},{3},{2}]=>[{2},{3},{4},{1},{5,6}]=>[1,1,1,1,2]
[{2,3},{4},{1},{5},{6}]=>[{6},{5},{1},{4},{2,3}]=>[1,1,1,1,2]
[{2,3},{4},{1},{6},{5}]=>[{5},{6},{1},{4},{2,3}]=>[1,1,1,1,2]
[{2,3},{5},{1},{4},{6}]=>[{6},{4},{1},{5},{2,3}]=>[1,1,1,1,2]
[{2,3},{6},{1},{4},{5}]=>[{5},{4},{1},{6},{2,3}]=>[1,1,1,1,2]
[{2,3},{5},{1},{6},{4}]=>[{4},{6},{1},{5},{2,3}]=>[1,1,1,1,2]
[{2,3},{6},{1},{5},{4}]=>[{4},{5},{1},{6},{2,3}]=>[1,1,1,1,2]
[{2,4},{3},{1},{5},{6}]=>[{6},{5},{1},{3},{2,4}]=>[1,1,1,1,2]
[{2,4},{3},{1},{6},{5}]=>[{5},{6},{1},{3},{2,4}]=>[1,1,1,1,2]
[{2,5},{3},{1},{4},{6}]=>[{6},{4},{1},{3},{2,5}]=>[1,1,1,1,2]
[{2,6},{3},{1},{4},{5}]=>[{5},{4},{1},{3},{2,6}]=>[1,1,1,1,2]
[{2,5},{3},{1},{6},{4}]=>[{4},{6},{1},{3},{2,5}]=>[1,1,1,1,2]
[{2,6},{3},{1},{5},{4}]=>[{4},{5},{1},{3},{2,6}]=>[1,1,1,1,2]
[{2,4},{5},{1},{3},{6}]=>[{6},{3},{1},{5},{2,4}]=>[1,1,1,1,2]
[{2,4},{6},{1},{3},{5}]=>[{5},{3},{1},{6},{2,4}]=>[1,1,1,1,2]
[{2,5},{4},{1},{3},{6}]=>[{6},{3},{1},{4},{2,5}]=>[1,1,1,1,2]
[{2,6},{4},{1},{3},{5}]=>[{5},{3},{1},{4},{2,6}]=>[1,1,1,1,2]
[{2,5},{6},{1},{3},{4}]=>[{4},{3},{1},{6},{2,5}]=>[1,1,1,1,2]
[{2,6},{5},{1},{3},{4}]=>[{4},{3},{1},{5},{2,6}]=>[1,1,1,1,2]
[{2,4},{5},{1},{6},{3}]=>[{3},{6},{1},{5},{2,4}]=>[1,1,1,1,2]
[{2,4},{6},{1},{5},{3}]=>[{3},{5},{1},{6},{2,4}]=>[1,1,1,1,2]
[{2,5},{4},{1},{6},{3}]=>[{3},{6},{1},{4},{2,5}]=>[1,1,1,1,2]
[{2,6},{4},{1},{5},{3}]=>[{3},{5},{1},{4},{2,6}]=>[1,1,1,1,2]
[{2,5},{6},{1},{4},{3}]=>[{3},{4},{1},{6},{2,5}]=>[1,1,1,1,2]
[{2,6},{5},{1},{4},{3}]=>[{3},{4},{1},{5},{2,6}]=>[1,1,1,1,2]
[{3,4},{2},{1},{5},{6}]=>[{6},{5},{1},{2},{3,4}]=>[1,1,1,1,2]
[{3,4},{2},{1},{6},{5}]=>[{5},{6},{1},{2},{3,4}]=>[1,1,1,1,2]
[{3,5},{2},{1},{4},{6}]=>[{6},{4},{1},{2},{3,5}]=>[1,1,1,1,2]
[{3,6},{2},{1},{4},{5}]=>[{5},{4},{1},{2},{3,6}]=>[1,1,1,1,2]
[{3,5},{2},{1},{6},{4}]=>[{4},{6},{1},{2},{3,5}]=>[1,1,1,1,2]
[{3,6},{2},{1},{5},{4}]=>[{4},{5},{1},{2},{3,6}]=>[1,1,1,1,2]
[{4,5},{2},{1},{3},{6}]=>[{6},{3},{1},{2},{4,5}]=>[1,1,1,1,2]
[{4,6},{2},{1},{3},{5}]=>[{5},{3},{1},{2},{4,6}]=>[1,1,1,1,2]
[{5,6},{2},{1},{3},{4}]=>[{4},{3},{1},{2},{5,6}]=>[1,1,1,1,2]
[{4,5},{2},{1},{6},{3}]=>[{3},{6},{1},{2},{4,5}]=>[1,1,1,1,2]
[{4,6},{2},{1},{5},{3}]=>[{3},{5},{1},{2},{4,6}]=>[1,1,1,1,2]
[{5,6},{2},{1},{4},{3}]=>[{3},{4},{1},{2},{5,6}]=>[1,1,1,1,2]
[{3,4},{5},{1},{2},{6}]=>[{6},{2},{1},{5},{3,4}]=>[1,1,1,1,2]
[{3,4},{6},{1},{2},{5}]=>[{5},{2},{1},{6},{3,4}]=>[1,1,1,1,2]
[{3,5},{4},{1},{2},{6}]=>[{6},{2},{1},{4},{3,5}]=>[1,1,1,1,2]
[{3,6},{4},{1},{2},{5}]=>[{5},{2},{1},{4},{3,6}]=>[1,1,1,1,2]
[{3,5},{6},{1},{2},{4}]=>[{4},{2},{1},{6},{3,5}]=>[1,1,1,1,2]
[{3,6},{5},{1},{2},{4}]=>[{4},{2},{1},{5},{3,6}]=>[1,1,1,1,2]
[{4,5},{3},{1},{2},{6}]=>[{6},{2},{1},{3},{4,5}]=>[1,1,1,1,2]
[{4,6},{3},{1},{2},{5}]=>[{5},{2},{1},{3},{4,6}]=>[1,1,1,1,2]
[{5,6},{3},{1},{2},{4}]=>[{4},{2},{1},{3},{5,6}]=>[1,1,1,1,2]
[{4,5},{6},{1},{2},{3}]=>[{3},{2},{1},{6},{4,5}]=>[1,1,1,1,2]
[{4,6},{5},{1},{2},{3}]=>[{3},{2},{1},{5},{4,6}]=>[1,1,1,1,2]
[{5,6},{4},{1},{2},{3}]=>[{3},{2},{1},{4},{5,6}]=>[1,1,1,1,2]
[{3,4},{5},{1},{6},{2}]=>[{2},{6},{1},{5},{3,4}]=>[1,1,1,1,2]
[{3,4},{6},{1},{5},{2}]=>[{2},{5},{1},{6},{3,4}]=>[1,1,1,1,2]
[{3,5},{4},{1},{6},{2}]=>[{2},{6},{1},{4},{3,5}]=>[1,1,1,1,2]
[{3,6},{4},{1},{5},{2}]=>[{2},{5},{1},{4},{3,6}]=>[1,1,1,1,2]
[{3,5},{6},{1},{4},{2}]=>[{2},{4},{1},{6},{3,5}]=>[1,1,1,1,2]
[{3,6},{5},{1},{4},{2}]=>[{2},{4},{1},{5},{3,6}]=>[1,1,1,1,2]
[{4,5},{3},{1},{6},{2}]=>[{2},{6},{1},{3},{4,5}]=>[1,1,1,1,2]
[{4,6},{3},{1},{5},{2}]=>[{2},{5},{1},{3},{4,6}]=>[1,1,1,1,2]
[{5,6},{3},{1},{4},{2}]=>[{2},{4},{1},{3},{5,6}]=>[1,1,1,1,2]
[{4,5},{6},{1},{3},{2}]=>[{2},{3},{1},{6},{4,5}]=>[1,1,1,1,2]
[{4,6},{5},{1},{3},{2}]=>[{2},{3},{1},{5},{4,6}]=>[1,1,1,1,2]
[{5,6},{4},{1},{3},{2}]=>[{2},{3},{1},{4},{5,6}]=>[1,1,1,1,2]
[{2,3},{4},{5},{1},{6}]=>[{6},{1},{5},{4},{2,3}]=>[1,1,1,1,2]
[{2,3},{4},{6},{1},{5}]=>[{5},{1},{6},{4},{2,3}]=>[1,1,1,1,2]
[{2,3},{5},{4},{1},{6}]=>[{6},{1},{4},{5},{2,3}]=>[1,1,1,1,2]
[{2,3},{6},{4},{1},{5}]=>[{5},{1},{4},{6},{2,3}]=>[1,1,1,1,2]
[{2,3},{5},{6},{1},{4}]=>[{4},{1},{6},{5},{2,3}]=>[1,1,1,1,2]
[{2,3},{6},{5},{1},{4}]=>[{4},{1},{5},{6},{2,3}]=>[1,1,1,1,2]
[{2,4},{3},{5},{1},{6}]=>[{6},{1},{5},{3},{2,4}]=>[1,1,1,1,2]
[{2,4},{3},{6},{1},{5}]=>[{5},{1},{6},{3},{2,4}]=>[1,1,1,1,2]
[{2,5},{3},{4},{1},{6}]=>[{6},{1},{4},{3},{2,5}]=>[1,1,1,1,2]
[{2,6},{3},{4},{1},{5}]=>[{5},{1},{4},{3},{2,6}]=>[1,1,1,1,2]
[{2,5},{3},{6},{1},{4}]=>[{4},{1},{6},{3},{2,5}]=>[1,1,1,1,2]
[{2,6},{3},{5},{1},{4}]=>[{4},{1},{5},{3},{2,6}]=>[1,1,1,1,2]
[{2,4},{5},{3},{1},{6}]=>[{6},{1},{3},{5},{2,4}]=>[1,1,1,1,2]
[{2,4},{6},{3},{1},{5}]=>[{5},{1},{3},{6},{2,4}]=>[1,1,1,1,2]
[{2,5},{4},{3},{1},{6}]=>[{6},{1},{3},{4},{2,5}]=>[1,1,1,1,2]
[{2,6},{4},{3},{1},{5}]=>[{5},{1},{3},{4},{2,6}]=>[1,1,1,1,2]
[{2,5},{6},{3},{1},{4}]=>[{4},{1},{3},{6},{2,5}]=>[1,1,1,1,2]
[{2,6},{5},{3},{1},{4}]=>[{4},{1},{3},{5},{2,6}]=>[1,1,1,1,2]
[{2,4},{5},{6},{1},{3}]=>[{3},{1},{6},{5},{2,4}]=>[1,1,1,1,2]
[{2,4},{6},{5},{1},{3}]=>[{3},{1},{5},{6},{2,4}]=>[1,1,1,1,2]
[{2,5},{4},{6},{1},{3}]=>[{3},{1},{6},{4},{2,5}]=>[1,1,1,1,2]
[{2,6},{4},{5},{1},{3}]=>[{3},{1},{5},{4},{2,6}]=>[1,1,1,1,2]
[{2,5},{6},{4},{1},{3}]=>[{3},{1},{4},{6},{2,5}]=>[1,1,1,1,2]
[{2,6},{5},{4},{1},{3}]=>[{3},{1},{4},{5},{2,6}]=>[1,1,1,1,2]
[{3,4},{2},{5},{1},{6}]=>[{6},{1},{5},{2},{3,4}]=>[1,1,1,1,2]
[{3,4},{2},{6},{1},{5}]=>[{5},{1},{6},{2},{3,4}]=>[1,1,1,1,2]
[{3,5},{2},{4},{1},{6}]=>[{6},{1},{4},{2},{3,5}]=>[1,1,1,1,2]
[{3,6},{2},{4},{1},{5}]=>[{5},{1},{4},{2},{3,6}]=>[1,1,1,1,2]
[{3,5},{2},{6},{1},{4}]=>[{4},{1},{6},{2},{3,5}]=>[1,1,1,1,2]
[{3,6},{2},{5},{1},{4}]=>[{4},{1},{5},{2},{3,6}]=>[1,1,1,1,2]
[{4,5},{2},{3},{1},{6}]=>[{6},{1},{3},{2},{4,5}]=>[1,1,1,1,2]
[{4,6},{2},{3},{1},{5}]=>[{5},{1},{3},{2},{4,6}]=>[1,1,1,1,2]
[{5,6},{2},{3},{1},{4}]=>[{4},{1},{3},{2},{5,6}]=>[1,1,1,1,2]
[{4,5},{2},{6},{1},{3}]=>[{3},{1},{6},{2},{4,5}]=>[1,1,1,1,2]
[{4,6},{2},{5},{1},{3}]=>[{3},{1},{5},{2},{4,6}]=>[1,1,1,1,2]
[{5,6},{2},{4},{1},{3}]=>[{3},{1},{4},{2},{5,6}]=>[1,1,1,1,2]
[{3,4},{5},{2},{1},{6}]=>[{6},{1},{2},{5},{3,4}]=>[1,1,1,1,2]
[{3,4},{6},{2},{1},{5}]=>[{5},{1},{2},{6},{3,4}]=>[1,1,1,1,2]
[{3,5},{4},{2},{1},{6}]=>[{6},{1},{2},{4},{3,5}]=>[1,1,1,1,2]
[{3,6},{4},{2},{1},{5}]=>[{5},{1},{2},{4},{3,6}]=>[1,1,1,1,2]
[{3,5},{6},{2},{1},{4}]=>[{4},{1},{2},{6},{3,5}]=>[1,1,1,1,2]
[{3,6},{5},{2},{1},{4}]=>[{4},{1},{2},{5},{3,6}]=>[1,1,1,1,2]
[{4,5},{3},{2},{1},{6}]=>[{6},{1},{2},{3},{4,5}]=>[1,1,1,1,2]
[{4,6},{3},{2},{1},{5}]=>[{5},{1},{2},{3},{4,6}]=>[1,1,1,1,2]
[{5,6},{3},{2},{1},{4}]=>[{4},{1},{2},{3},{5,6}]=>[1,1,1,1,2]
[{4,5},{6},{2},{1},{3}]=>[{3},{1},{2},{6},{4,5}]=>[1,1,1,1,2]
[{4,6},{5},{2},{1},{3}]=>[{3},{1},{2},{5},{4,6}]=>[1,1,1,1,2]
[{5,6},{4},{2},{1},{3}]=>[{3},{1},{2},{4},{5,6}]=>[1,1,1,1,2]
[{3,4},{5},{6},{1},{2}]=>[{2},{1},{6},{5},{3,4}]=>[1,1,1,1,2]
[{3,4},{6},{5},{1},{2}]=>[{2},{1},{5},{6},{3,4}]=>[1,1,1,1,2]
[{3,5},{4},{6},{1},{2}]=>[{2},{1},{6},{4},{3,5}]=>[1,1,1,1,2]
[{3,6},{4},{5},{1},{2}]=>[{2},{1},{5},{4},{3,6}]=>[1,1,1,1,2]
[{3,5},{6},{4},{1},{2}]=>[{2},{1},{4},{6},{3,5}]=>[1,1,1,1,2]
[{3,6},{5},{4},{1},{2}]=>[{2},{1},{4},{5},{3,6}]=>[1,1,1,1,2]
[{4,5},{3},{6},{1},{2}]=>[{2},{1},{6},{3},{4,5}]=>[1,1,1,1,2]
[{4,6},{3},{5},{1},{2}]=>[{2},{1},{5},{3},{4,6}]=>[1,1,1,1,2]
[{5,6},{3},{4},{1},{2}]=>[{2},{1},{4},{3},{5,6}]=>[1,1,1,1,2]
[{4,5},{6},{3},{1},{2}]=>[{2},{1},{3},{6},{4,5}]=>[1,1,1,1,2]
[{4,6},{5},{3},{1},{2}]=>[{2},{1},{3},{5},{4,6}]=>[1,1,1,1,2]
[{5,6},{4},{3},{1},{2}]=>[{2},{1},{3},{4},{5,6}]=>[1,1,1,1,2]
[{2,3},{4},{5},{6},{1}]=>[{1},{6},{5},{4},{2,3}]=>[1,1,1,1,2]
[{2,3},{4},{6},{5},{1}]=>[{1},{5},{6},{4},{2,3}]=>[1,1,1,1,2]
[{2,3},{5},{4},{6},{1}]=>[{1},{6},{4},{5},{2,3}]=>[1,1,1,1,2]
[{2,3},{6},{4},{5},{1}]=>[{1},{5},{4},{6},{2,3}]=>[1,1,1,1,2]
[{2,3},{5},{6},{4},{1}]=>[{1},{4},{6},{5},{2,3}]=>[1,1,1,1,2]
[{2,3},{6},{5},{4},{1}]=>[{1},{4},{5},{6},{2,3}]=>[1,1,1,1,2]
[{2,4},{3},{5},{6},{1}]=>[{1},{6},{5},{3},{2,4}]=>[1,1,1,1,2]
[{2,4},{3},{6},{5},{1}]=>[{1},{5},{6},{3},{2,4}]=>[1,1,1,1,2]
[{2,5},{3},{4},{6},{1}]=>[{1},{6},{4},{3},{2,5}]=>[1,1,1,1,2]
[{2,6},{3},{4},{5},{1}]=>[{1},{5},{4},{3},{2,6}]=>[1,1,1,1,2]
[{2,5},{3},{6},{4},{1}]=>[{1},{4},{6},{3},{2,5}]=>[1,1,1,1,2]
[{2,6},{3},{5},{4},{1}]=>[{1},{4},{5},{3},{2,6}]=>[1,1,1,1,2]
[{2,4},{5},{3},{6},{1}]=>[{1},{6},{3},{5},{2,4}]=>[1,1,1,1,2]
[{2,4},{6},{3},{5},{1}]=>[{1},{5},{3},{6},{2,4}]=>[1,1,1,1,2]
[{2,5},{4},{3},{6},{1}]=>[{1},{6},{3},{4},{2,5}]=>[1,1,1,1,2]
[{2,6},{4},{3},{5},{1}]=>[{1},{5},{3},{4},{2,6}]=>[1,1,1,1,2]
[{2,5},{6},{3},{4},{1}]=>[{1},{4},{3},{6},{2,5}]=>[1,1,1,1,2]
[{2,6},{5},{3},{4},{1}]=>[{1},{4},{3},{5},{2,6}]=>[1,1,1,1,2]
[{2,4},{5},{6},{3},{1}]=>[{1},{3},{6},{5},{2,4}]=>[1,1,1,1,2]
[{2,4},{6},{5},{3},{1}]=>[{1},{3},{5},{6},{2,4}]=>[1,1,1,1,2]
[{2,5},{4},{6},{3},{1}]=>[{1},{3},{6},{4},{2,5}]=>[1,1,1,1,2]
[{2,6},{4},{5},{3},{1}]=>[{1},{3},{5},{4},{2,6}]=>[1,1,1,1,2]
[{2,5},{6},{4},{3},{1}]=>[{1},{3},{4},{6},{2,5}]=>[1,1,1,1,2]
[{2,6},{5},{4},{3},{1}]=>[{1},{3},{4},{5},{2,6}]=>[1,1,1,1,2]
[{3,4},{2},{5},{6},{1}]=>[{1},{6},{5},{2},{3,4}]=>[1,1,1,1,2]
[{3,4},{2},{6},{5},{1}]=>[{1},{5},{6},{2},{3,4}]=>[1,1,1,1,2]
[{3,5},{2},{4},{6},{1}]=>[{1},{6},{4},{2},{3,5}]=>[1,1,1,1,2]
[{3,6},{2},{4},{5},{1}]=>[{1},{5},{4},{2},{3,6}]=>[1,1,1,1,2]
[{3,5},{2},{6},{4},{1}]=>[{1},{4},{6},{2},{3,5}]=>[1,1,1,1,2]
[{3,6},{2},{5},{4},{1}]=>[{1},{4},{5},{2},{3,6}]=>[1,1,1,1,2]
[{4,5},{2},{3},{6},{1}]=>[{1},{6},{3},{2},{4,5}]=>[1,1,1,1,2]
[{4,6},{2},{3},{5},{1}]=>[{1},{5},{3},{2},{4,6}]=>[1,1,1,1,2]
[{5,6},{2},{3},{4},{1}]=>[{1},{4},{3},{2},{5,6}]=>[1,1,1,1,2]
[{4,5},{2},{6},{3},{1}]=>[{1},{3},{6},{2},{4,5}]=>[1,1,1,1,2]
[{4,6},{2},{5},{3},{1}]=>[{1},{3},{5},{2},{4,6}]=>[1,1,1,1,2]
[{5,6},{2},{4},{3},{1}]=>[{1},{3},{4},{2},{5,6}]=>[1,1,1,1,2]
[{3,4},{5},{2},{6},{1}]=>[{1},{6},{2},{5},{3,4}]=>[1,1,1,1,2]
[{3,4},{6},{2},{5},{1}]=>[{1},{5},{2},{6},{3,4}]=>[1,1,1,1,2]
[{3,5},{4},{2},{6},{1}]=>[{1},{6},{2},{4},{3,5}]=>[1,1,1,1,2]
[{3,6},{4},{2},{5},{1}]=>[{1},{5},{2},{4},{3,6}]=>[1,1,1,1,2]
[{3,5},{6},{2},{4},{1}]=>[{1},{4},{2},{6},{3,5}]=>[1,1,1,1,2]
[{3,6},{5},{2},{4},{1}]=>[{1},{4},{2},{5},{3,6}]=>[1,1,1,1,2]
[{4,5},{3},{2},{6},{1}]=>[{1},{6},{2},{3},{4,5}]=>[1,1,1,1,2]
[{4,6},{3},{2},{5},{1}]=>[{1},{5},{2},{3},{4,6}]=>[1,1,1,1,2]
[{5,6},{3},{2},{4},{1}]=>[{1},{4},{2},{3},{5,6}]=>[1,1,1,1,2]
[{4,5},{6},{2},{3},{1}]=>[{1},{3},{2},{6},{4,5}]=>[1,1,1,1,2]
[{4,6},{5},{2},{3},{1}]=>[{1},{3},{2},{5},{4,6}]=>[1,1,1,1,2]
[{5,6},{4},{2},{3},{1}]=>[{1},{3},{2},{4},{5,6}]=>[1,1,1,1,2]
[{3,4},{5},{6},{2},{1}]=>[{1},{2},{6},{5},{3,4}]=>[1,1,1,1,2]
[{3,4},{6},{5},{2},{1}]=>[{1},{2},{5},{6},{3,4}]=>[1,1,1,1,2]
[{3,5},{4},{6},{2},{1}]=>[{1},{2},{6},{4},{3,5}]=>[1,1,1,1,2]
[{3,6},{4},{5},{2},{1}]=>[{1},{2},{5},{4},{3,6}]=>[1,1,1,1,2]
[{3,5},{6},{4},{2},{1}]=>[{1},{2},{4},{6},{3,5}]=>[1,1,1,1,2]
[{3,6},{5},{4},{2},{1}]=>[{1},{2},{4},{5},{3,6}]=>[1,1,1,1,2]
[{4,5},{3},{6},{2},{1}]=>[{1},{2},{6},{3},{4,5}]=>[1,1,1,1,2]
[{4,6},{3},{5},{2},{1}]=>[{1},{2},{5},{3},{4,6}]=>[1,1,1,1,2]
[{5,6},{3},{4},{2},{1}]=>[{1},{2},{4},{3},{5,6}]=>[1,1,1,1,2]
[{4,5},{6},{3},{2},{1}]=>[{1},{2},{3},{6},{4,5}]=>[1,1,1,1,2]
[{4,6},{5},{3},{2},{1}]=>[{1},{2},{3},{5},{4,6}]=>[1,1,1,1,2]
[{5,6},{4},{3},{2},{1}]=>[{1},{2},{3},{4},{5,6}]=>[1,1,1,1,2]
[{1,2},{3},{4},{5,6}]=>[{5,6},{4},{3},{1,2}]=>[2,1,1,2]
[{1,2},{3},{5},{4,6}]=>[{4,6},{5},{3},{1,2}]=>[2,1,1,2]
[{1,2},{3},{6},{4,5}]=>[{4,5},{6},{3},{1,2}]=>[2,1,1,2]
[{1,2},{4},{3},{5,6}]=>[{5,6},{3},{4},{1,2}]=>[2,1,1,2]
[{1,2},{5},{3},{4,6}]=>[{4,6},{3},{5},{1,2}]=>[2,1,1,2]
[{1,2},{6},{3},{4,5}]=>[{4,5},{3},{6},{1,2}]=>[2,1,1,2]
[{1,2},{4},{5},{3,6}]=>[{3,6},{5},{4},{1,2}]=>[2,1,1,2]
[{1,2},{4},{6},{3,5}]=>[{3,5},{6},{4},{1,2}]=>[2,1,1,2]
[{1,2},{5},{4},{3,6}]=>[{3,6},{4},{5},{1,2}]=>[2,1,1,2]
[{1,2},{6},{4},{3,5}]=>[{3,5},{4},{6},{1,2}]=>[2,1,1,2]
[{1,2},{5},{6},{3,4}]=>[{3,4},{6},{5},{1,2}]=>[2,1,1,2]
[{1,2},{6},{5},{3,4}]=>[{3,4},{5},{6},{1,2}]=>[2,1,1,2]
[{1,3},{2},{4},{5,6}]=>[{5,6},{4},{2},{1,3}]=>[2,1,1,2]
[{1,3},{2},{5},{4,6}]=>[{4,6},{5},{2},{1,3}]=>[2,1,1,2]
[{1,3},{2},{6},{4,5}]=>[{4,5},{6},{2},{1,3}]=>[2,1,1,2]
[{1,4},{2},{3},{5,6}]=>[{5,6},{3},{2},{1,4}]=>[2,1,1,2]
[{1,5},{2},{3},{4,6}]=>[{4,6},{3},{2},{1,5}]=>[2,1,1,2]
[{1,6},{2},{3},{4,5}]=>[{4,5},{3},{2},{1,6}]=>[2,1,1,2]
[{1,4},{2},{5},{3,6}]=>[{3,6},{5},{2},{1,4}]=>[2,1,1,2]
[{1,4},{2},{6},{3,5}]=>[{3,5},{6},{2},{1,4}]=>[2,1,1,2]
[{1,5},{2},{4},{3,6}]=>[{3,6},{4},{2},{1,5}]=>[2,1,1,2]
[{1,6},{2},{4},{3,5}]=>[{3,5},{4},{2},{1,6}]=>[2,1,1,2]
[{1,5},{2},{6},{3,4}]=>[{3,4},{6},{2},{1,5}]=>[2,1,1,2]
[{1,6},{2},{5},{3,4}]=>[{3,4},{5},{2},{1,6}]=>[2,1,1,2]
[{1,3},{4},{2},{5,6}]=>[{5,6},{2},{4},{1,3}]=>[2,1,1,2]
[{1,3},{5},{2},{4,6}]=>[{4,6},{2},{5},{1,3}]=>[2,1,1,2]
[{1,3},{6},{2},{4,5}]=>[{4,5},{2},{6},{1,3}]=>[2,1,1,2]
[{1,4},{3},{2},{5,6}]=>[{5,6},{2},{3},{1,4}]=>[2,1,1,2]
[{1,5},{3},{2},{4,6}]=>[{4,6},{2},{3},{1,5}]=>[2,1,1,2]
[{1,6},{3},{2},{4,5}]=>[{4,5},{2},{3},{1,6}]=>[2,1,1,2]
[{1,4},{5},{2},{3,6}]=>[{3,6},{2},{5},{1,4}]=>[2,1,1,2]
[{1,4},{6},{2},{3,5}]=>[{3,5},{2},{6},{1,4}]=>[2,1,1,2]
[{1,5},{4},{2},{3,6}]=>[{3,6},{2},{4},{1,5}]=>[2,1,1,2]
[{1,6},{4},{2},{3,5}]=>[{3,5},{2},{4},{1,6}]=>[2,1,1,2]
[{1,5},{6},{2},{3,4}]=>[{3,4},{2},{6},{1,5}]=>[2,1,1,2]
[{1,6},{5},{2},{3,4}]=>[{3,4},{2},{5},{1,6}]=>[2,1,1,2]
[{1,3},{4},{5},{2,6}]=>[{2,6},{5},{4},{1,3}]=>[2,1,1,2]
[{1,3},{4},{6},{2,5}]=>[{2,5},{6},{4},{1,3}]=>[2,1,1,2]
[{1,3},{5},{4},{2,6}]=>[{2,6},{4},{5},{1,3}]=>[2,1,1,2]
[{1,3},{6},{4},{2,5}]=>[{2,5},{4},{6},{1,3}]=>[2,1,1,2]
[{1,3},{5},{6},{2,4}]=>[{2,4},{6},{5},{1,3}]=>[2,1,1,2]
[{1,3},{6},{5},{2,4}]=>[{2,4},{5},{6},{1,3}]=>[2,1,1,2]
[{1,4},{3},{5},{2,6}]=>[{2,6},{5},{3},{1,4}]=>[2,1,1,2]
[{1,4},{3},{6},{2,5}]=>[{2,5},{6},{3},{1,4}]=>[2,1,1,2]
[{1,5},{3},{4},{2,6}]=>[{2,6},{4},{3},{1,5}]=>[2,1,1,2]
[{1,6},{3},{4},{2,5}]=>[{2,5},{4},{3},{1,6}]=>[2,1,1,2]
[{1,5},{3},{6},{2,4}]=>[{2,4},{6},{3},{1,5}]=>[2,1,1,2]
[{1,6},{3},{5},{2,4}]=>[{2,4},{5},{3},{1,6}]=>[2,1,1,2]
[{1,4},{5},{3},{2,6}]=>[{2,6},{3},{5},{1,4}]=>[2,1,1,2]
[{1,4},{6},{3},{2,5}]=>[{2,5},{3},{6},{1,4}]=>[2,1,1,2]
[{1,5},{4},{3},{2,6}]=>[{2,6},{3},{4},{1,5}]=>[2,1,1,2]
[{1,6},{4},{3},{2,5}]=>[{2,5},{3},{4},{1,6}]=>[2,1,1,2]
[{1,5},{6},{3},{2,4}]=>[{2,4},{3},{6},{1,5}]=>[2,1,1,2]
[{1,6},{5},{3},{2,4}]=>[{2,4},{3},{5},{1,6}]=>[2,1,1,2]
[{1,4},{5},{6},{2,3}]=>[{2,3},{6},{5},{1,4}]=>[2,1,1,2]
[{1,4},{6},{5},{2,3}]=>[{2,3},{5},{6},{1,4}]=>[2,1,1,2]
[{1,5},{4},{6},{2,3}]=>[{2,3},{6},{4},{1,5}]=>[2,1,1,2]
[{1,6},{4},{5},{2,3}]=>[{2,3},{5},{4},{1,6}]=>[2,1,1,2]
[{1,5},{6},{4},{2,3}]=>[{2,3},{4},{6},{1,5}]=>[2,1,1,2]
[{1,6},{5},{4},{2,3}]=>[{2,3},{4},{5},{1,6}]=>[2,1,1,2]
[{2,3},{1},{4},{5,6}]=>[{5,6},{4},{1},{2,3}]=>[2,1,1,2]
[{2,3},{1},{5},{4,6}]=>[{4,6},{5},{1},{2,3}]=>[2,1,1,2]
[{2,3},{1},{6},{4,5}]=>[{4,5},{6},{1},{2,3}]=>[2,1,1,2]
[{2,4},{1},{3},{5,6}]=>[{5,6},{3},{1},{2,4}]=>[2,1,1,2]
[{2,5},{1},{3},{4,6}]=>[{4,6},{3},{1},{2,5}]=>[2,1,1,2]
[{2,6},{1},{3},{4,5}]=>[{4,5},{3},{1},{2,6}]=>[2,1,1,2]
[{2,4},{1},{5},{3,6}]=>[{3,6},{5},{1},{2,4}]=>[2,1,1,2]
[{2,4},{1},{6},{3,5}]=>[{3,5},{6},{1},{2,4}]=>[2,1,1,2]
[{2,5},{1},{4},{3,6}]=>[{3,6},{4},{1},{2,5}]=>[2,1,1,2]
[{2,6},{1},{4},{3,5}]=>[{3,5},{4},{1},{2,6}]=>[2,1,1,2]
[{2,5},{1},{6},{3,4}]=>[{3,4},{6},{1},{2,5}]=>[2,1,1,2]
[{2,6},{1},{5},{3,4}]=>[{3,4},{5},{1},{2,6}]=>[2,1,1,2]
[{3,4},{1},{2},{5,6}]=>[{5,6},{2},{1},{3,4}]=>[2,1,1,2]
[{3,5},{1},{2},{4,6}]=>[{4,6},{2},{1},{3,5}]=>[2,1,1,2]
[{3,6},{1},{2},{4,5}]=>[{4,5},{2},{1},{3,6}]=>[2,1,1,2]
[{4,5},{1},{2},{3,6}]=>[{3,6},{2},{1},{4,5}]=>[2,1,1,2]
[{4,6},{1},{2},{3,5}]=>[{3,5},{2},{1},{4,6}]=>[2,1,1,2]
[{5,6},{1},{2},{3,4}]=>[{3,4},{2},{1},{5,6}]=>[2,1,1,2]
[{3,4},{1},{5},{2,6}]=>[{2,6},{5},{1},{3,4}]=>[2,1,1,2]
[{3,4},{1},{6},{2,5}]=>[{2,5},{6},{1},{3,4}]=>[2,1,1,2]
[{3,5},{1},{4},{2,6}]=>[{2,6},{4},{1},{3,5}]=>[2,1,1,2]
[{3,6},{1},{4},{2,5}]=>[{2,5},{4},{1},{3,6}]=>[2,1,1,2]
[{3,5},{1},{6},{2,4}]=>[{2,4},{6},{1},{3,5}]=>[2,1,1,2]
[{3,6},{1},{5},{2,4}]=>[{2,4},{5},{1},{3,6}]=>[2,1,1,2]
[{4,5},{1},{3},{2,6}]=>[{2,6},{3},{1},{4,5}]=>[2,1,1,2]
[{4,6},{1},{3},{2,5}]=>[{2,5},{3},{1},{4,6}]=>[2,1,1,2]
[{5,6},{1},{3},{2,4}]=>[{2,4},{3},{1},{5,6}]=>[2,1,1,2]
[{4,5},{1},{6},{2,3}]=>[{2,3},{6},{1},{4,5}]=>[2,1,1,2]
[{4,6},{1},{5},{2,3}]=>[{2,3},{5},{1},{4,6}]=>[2,1,1,2]
[{5,6},{1},{4},{2,3}]=>[{2,3},{4},{1},{5,6}]=>[2,1,1,2]
[{2,3},{4},{1},{5,6}]=>[{5,6},{1},{4},{2,3}]=>[2,1,1,2]
[{2,3},{5},{1},{4,6}]=>[{4,6},{1},{5},{2,3}]=>[2,1,1,2]
[{2,3},{6},{1},{4,5}]=>[{4,5},{1},{6},{2,3}]=>[2,1,1,2]
[{2,4},{3},{1},{5,6}]=>[{5,6},{1},{3},{2,4}]=>[2,1,1,2]
[{2,5},{3},{1},{4,6}]=>[{4,6},{1},{3},{2,5}]=>[2,1,1,2]
[{2,6},{3},{1},{4,5}]=>[{4,5},{1},{3},{2,6}]=>[2,1,1,2]
[{2,4},{5},{1},{3,6}]=>[{3,6},{1},{5},{2,4}]=>[2,1,1,2]
[{2,4},{6},{1},{3,5}]=>[{3,5},{1},{6},{2,4}]=>[2,1,1,2]
[{2,5},{4},{1},{3,6}]=>[{3,6},{1},{4},{2,5}]=>[2,1,1,2]
[{2,6},{4},{1},{3,5}]=>[{3,5},{1},{4},{2,6}]=>[2,1,1,2]
[{2,5},{6},{1},{3,4}]=>[{3,4},{1},{6},{2,5}]=>[2,1,1,2]
[{2,6},{5},{1},{3,4}]=>[{3,4},{1},{5},{2,6}]=>[2,1,1,2]
[{3,4},{2},{1},{5,6}]=>[{5,6},{1},{2},{3,4}]=>[2,1,1,2]
[{3,5},{2},{1},{4,6}]=>[{4,6},{1},{2},{3,5}]=>[2,1,1,2]
[{3,6},{2},{1},{4,5}]=>[{4,5},{1},{2},{3,6}]=>[2,1,1,2]
[{4,5},{2},{1},{3,6}]=>[{3,6},{1},{2},{4,5}]=>[2,1,1,2]
[{4,6},{2},{1},{3,5}]=>[{3,5},{1},{2},{4,6}]=>[2,1,1,2]
[{5,6},{2},{1},{3,4}]=>[{3,4},{1},{2},{5,6}]=>[2,1,1,2]
[{3,4},{5},{1},{2,6}]=>[{2,6},{1},{5},{3,4}]=>[2,1,1,2]
[{3,4},{6},{1},{2,5}]=>[{2,5},{1},{6},{3,4}]=>[2,1,1,2]
[{3,5},{4},{1},{2,6}]=>[{2,6},{1},{4},{3,5}]=>[2,1,1,2]
[{3,6},{4},{1},{2,5}]=>[{2,5},{1},{4},{3,6}]=>[2,1,1,2]
[{3,5},{6},{1},{2,4}]=>[{2,4},{1},{6},{3,5}]=>[2,1,1,2]
[{3,6},{5},{1},{2,4}]=>[{2,4},{1},{5},{3,6}]=>[2,1,1,2]
[{4,5},{3},{1},{2,6}]=>[{2,6},{1},{3},{4,5}]=>[2,1,1,2]
[{4,6},{3},{1},{2,5}]=>[{2,5},{1},{3},{4,6}]=>[2,1,1,2]
[{5,6},{3},{1},{2,4}]=>[{2,4},{1},{3},{5,6}]=>[2,1,1,2]
[{4,5},{6},{1},{2,3}]=>[{2,3},{1},{6},{4,5}]=>[2,1,1,2]
[{4,6},{5},{1},{2,3}]=>[{2,3},{1},{5},{4,6}]=>[2,1,1,2]
[{5,6},{4},{1},{2,3}]=>[{2,3},{1},{4},{5,6}]=>[2,1,1,2]
[{2,3},{4},{5},{1,6}]=>[{1,6},{5},{4},{2,3}]=>[2,1,1,2]
[{2,3},{4},{6},{1,5}]=>[{1,5},{6},{4},{2,3}]=>[2,1,1,2]
[{2,3},{5},{4},{1,6}]=>[{1,6},{4},{5},{2,3}]=>[2,1,1,2]
[{2,3},{6},{4},{1,5}]=>[{1,5},{4},{6},{2,3}]=>[2,1,1,2]
[{2,3},{5},{6},{1,4}]=>[{1,4},{6},{5},{2,3}]=>[2,1,1,2]
[{2,3},{6},{5},{1,4}]=>[{1,4},{5},{6},{2,3}]=>[2,1,1,2]
[{2,4},{3},{5},{1,6}]=>[{1,6},{5},{3},{2,4}]=>[2,1,1,2]
[{2,4},{3},{6},{1,5}]=>[{1,5},{6},{3},{2,4}]=>[2,1,1,2]
[{2,5},{3},{4},{1,6}]=>[{1,6},{4},{3},{2,5}]=>[2,1,1,2]
[{2,6},{3},{4},{1,5}]=>[{1,5},{4},{3},{2,6}]=>[2,1,1,2]
[{2,5},{3},{6},{1,4}]=>[{1,4},{6},{3},{2,5}]=>[2,1,1,2]
[{2,6},{3},{5},{1,4}]=>[{1,4},{5},{3},{2,6}]=>[2,1,1,2]
[{2,4},{5},{3},{1,6}]=>[{1,6},{3},{5},{2,4}]=>[2,1,1,2]
[{2,4},{6},{3},{1,5}]=>[{1,5},{3},{6},{2,4}]=>[2,1,1,2]
[{2,5},{4},{3},{1,6}]=>[{1,6},{3},{4},{2,5}]=>[2,1,1,2]
[{2,6},{4},{3},{1,5}]=>[{1,5},{3},{4},{2,6}]=>[2,1,1,2]
[{2,5},{6},{3},{1,4}]=>[{1,4},{3},{6},{2,5}]=>[2,1,1,2]
[{2,6},{5},{3},{1,4}]=>[{1,4},{3},{5},{2,6}]=>[2,1,1,2]
[{2,4},{5},{6},{1,3}]=>[{1,3},{6},{5},{2,4}]=>[2,1,1,2]
[{2,4},{6},{5},{1,3}]=>[{1,3},{5},{6},{2,4}]=>[2,1,1,2]
[{2,5},{4},{6},{1,3}]=>[{1,3},{6},{4},{2,5}]=>[2,1,1,2]
[{2,6},{4},{5},{1,3}]=>[{1,3},{5},{4},{2,6}]=>[2,1,1,2]
[{2,5},{6},{4},{1,3}]=>[{1,3},{4},{6},{2,5}]=>[2,1,1,2]
[{2,6},{5},{4},{1,3}]=>[{1,3},{4},{5},{2,6}]=>[2,1,1,2]
[{3,4},{2},{5},{1,6}]=>[{1,6},{5},{2},{3,4}]=>[2,1,1,2]
[{3,4},{2},{6},{1,5}]=>[{1,5},{6},{2},{3,4}]=>[2,1,1,2]
[{3,5},{2},{4},{1,6}]=>[{1,6},{4},{2},{3,5}]=>[2,1,1,2]
[{3,6},{2},{4},{1,5}]=>[{1,5},{4},{2},{3,6}]=>[2,1,1,2]
[{3,5},{2},{6},{1,4}]=>[{1,4},{6},{2},{3,5}]=>[2,1,1,2]
[{3,6},{2},{5},{1,4}]=>[{1,4},{5},{2},{3,6}]=>[2,1,1,2]
[{4,5},{2},{3},{1,6}]=>[{1,6},{3},{2},{4,5}]=>[2,1,1,2]
[{4,6},{2},{3},{1,5}]=>[{1,5},{3},{2},{4,6}]=>[2,1,1,2]
[{5,6},{2},{3},{1,4}]=>[{1,4},{3},{2},{5,6}]=>[2,1,1,2]
[{4,5},{2},{6},{1,3}]=>[{1,3},{6},{2},{4,5}]=>[2,1,1,2]
[{4,6},{2},{5},{1,3}]=>[{1,3},{5},{2},{4,6}]=>[2,1,1,2]
[{5,6},{2},{4},{1,3}]=>[{1,3},{4},{2},{5,6}]=>[2,1,1,2]
[{3,4},{5},{2},{1,6}]=>[{1,6},{2},{5},{3,4}]=>[2,1,1,2]
[{3,4},{6},{2},{1,5}]=>[{1,5},{2},{6},{3,4}]=>[2,1,1,2]
[{3,5},{4},{2},{1,6}]=>[{1,6},{2},{4},{3,5}]=>[2,1,1,2]
[{3,6},{4},{2},{1,5}]=>[{1,5},{2},{4},{3,6}]=>[2,1,1,2]
[{3,5},{6},{2},{1,4}]=>[{1,4},{2},{6},{3,5}]=>[2,1,1,2]
[{3,6},{5},{2},{1,4}]=>[{1,4},{2},{5},{3,6}]=>[2,1,1,2]
[{4,5},{3},{2},{1,6}]=>[{1,6},{2},{3},{4,5}]=>[2,1,1,2]
[{4,6},{3},{2},{1,5}]=>[{1,5},{2},{3},{4,6}]=>[2,1,1,2]
[{5,6},{3},{2},{1,4}]=>[{1,4},{2},{3},{5,6}]=>[2,1,1,2]
[{4,5},{6},{2},{1,3}]=>[{1,3},{2},{6},{4,5}]=>[2,1,1,2]
[{4,6},{5},{2},{1,3}]=>[{1,3},{2},{5},{4,6}]=>[2,1,1,2]
[{5,6},{4},{2},{1,3}]=>[{1,3},{2},{4},{5,6}]=>[2,1,1,2]
[{3,4},{5},{6},{1,2}]=>[{1,2},{6},{5},{3,4}]=>[2,1,1,2]
[{3,4},{6},{5},{1,2}]=>[{1,2},{5},{6},{3,4}]=>[2,1,1,2]
[{3,5},{4},{6},{1,2}]=>[{1,2},{6},{4},{3,5}]=>[2,1,1,2]
[{3,6},{4},{5},{1,2}]=>[{1,2},{5},{4},{3,6}]=>[2,1,1,2]
[{3,5},{6},{4},{1,2}]=>[{1,2},{4},{6},{3,5}]=>[2,1,1,2]
[{3,6},{5},{4},{1,2}]=>[{1,2},{4},{5},{3,6}]=>[2,1,1,2]
[{4,5},{3},{6},{1,2}]=>[{1,2},{6},{3},{4,5}]=>[2,1,1,2]
[{4,6},{3},{5},{1,2}]=>[{1,2},{5},{3},{4,6}]=>[2,1,1,2]
[{5,6},{3},{4},{1,2}]=>[{1,2},{4},{3},{5,6}]=>[2,1,1,2]
[{4,5},{6},{3},{1,2}]=>[{1,2},{3},{6},{4,5}]=>[2,1,1,2]
[{4,6},{5},{3},{1,2}]=>[{1,2},{3},{5},{4,6}]=>[2,1,1,2]
[{5,6},{4},{3},{1,2}]=>[{1,2},{3},{4},{5,6}]=>[2,1,1,2]
[{1,2},{3},{4,5},{6}]=>[{6},{4,5},{3},{1,2}]=>[1,2,1,2]
[{1,2},{3},{4,6},{5}]=>[{5},{4,6},{3},{1,2}]=>[1,2,1,2]
[{1,2},{3},{5,6},{4}]=>[{4},{5,6},{3},{1,2}]=>[1,2,1,2]
[{1,2},{4},{3,5},{6}]=>[{6},{3,5},{4},{1,2}]=>[1,2,1,2]
[{1,2},{4},{3,6},{5}]=>[{5},{3,6},{4},{1,2}]=>[1,2,1,2]
[{1,2},{5},{3,4},{6}]=>[{6},{3,4},{5},{1,2}]=>[1,2,1,2]
[{1,2},{6},{3,4},{5}]=>[{5},{3,4},{6},{1,2}]=>[1,2,1,2]
[{1,2},{5},{3,6},{4}]=>[{4},{3,6},{5},{1,2}]=>[1,2,1,2]
[{1,2},{6},{3,5},{4}]=>[{4},{3,5},{6},{1,2}]=>[1,2,1,2]
[{1,2},{4},{5,6},{3}]=>[{3},{5,6},{4},{1,2}]=>[1,2,1,2]
[{1,2},{5},{4,6},{3}]=>[{3},{4,6},{5},{1,2}]=>[1,2,1,2]
[{1,2},{6},{4,5},{3}]=>[{3},{4,5},{6},{1,2}]=>[1,2,1,2]
[{1,3},{2},{4,5},{6}]=>[{6},{4,5},{2},{1,3}]=>[1,2,1,2]
[{1,3},{2},{4,6},{5}]=>[{5},{4,6},{2},{1,3}]=>[1,2,1,2]
[{1,3},{2},{5,6},{4}]=>[{4},{5,6},{2},{1,3}]=>[1,2,1,2]
[{1,4},{2},{3,5},{6}]=>[{6},{3,5},{2},{1,4}]=>[1,2,1,2]
[{1,4},{2},{3,6},{5}]=>[{5},{3,6},{2},{1,4}]=>[1,2,1,2]
[{1,5},{2},{3,4},{6}]=>[{6},{3,4},{2},{1,5}]=>[1,2,1,2]
[{1,6},{2},{3,4},{5}]=>[{5},{3,4},{2},{1,6}]=>[1,2,1,2]
[{1,5},{2},{3,6},{4}]=>[{4},{3,6},{2},{1,5}]=>[1,2,1,2]
[{1,6},{2},{3,5},{4}]=>[{4},{3,5},{2},{1,6}]=>[1,2,1,2]
[{1,4},{2},{5,6},{3}]=>[{3},{5,6},{2},{1,4}]=>[1,2,1,2]
[{1,5},{2},{4,6},{3}]=>[{3},{4,6},{2},{1,5}]=>[1,2,1,2]
[{1,6},{2},{4,5},{3}]=>[{3},{4,5},{2},{1,6}]=>[1,2,1,2]
[{1,3},{4},{2,5},{6}]=>[{6},{2,5},{4},{1,3}]=>[1,2,1,2]
[{1,3},{4},{2,6},{5}]=>[{5},{2,6},{4},{1,3}]=>[1,2,1,2]
[{1,3},{5},{2,4},{6}]=>[{6},{2,4},{5},{1,3}]=>[1,2,1,2]
[{1,3},{6},{2,4},{5}]=>[{5},{2,4},{6},{1,3}]=>[1,2,1,2]
[{1,3},{5},{2,6},{4}]=>[{4},{2,6},{5},{1,3}]=>[1,2,1,2]
[{1,3},{6},{2,5},{4}]=>[{4},{2,5},{6},{1,3}]=>[1,2,1,2]
[{1,4},{3},{2,5},{6}]=>[{6},{2,5},{3},{1,4}]=>[1,2,1,2]
[{1,4},{3},{2,6},{5}]=>[{5},{2,6},{3},{1,4}]=>[1,2,1,2]
[{1,5},{3},{2,4},{6}]=>[{6},{2,4},{3},{1,5}]=>[1,2,1,2]
[{1,6},{3},{2,4},{5}]=>[{5},{2,4},{3},{1,6}]=>[1,2,1,2]
[{1,5},{3},{2,6},{4}]=>[{4},{2,6},{3},{1,5}]=>[1,2,1,2]
[{1,6},{3},{2,5},{4}]=>[{4},{2,5},{3},{1,6}]=>[1,2,1,2]
[{1,4},{5},{2,3},{6}]=>[{6},{2,3},{5},{1,4}]=>[1,2,1,2]
[{1,4},{6},{2,3},{5}]=>[{5},{2,3},{6},{1,4}]=>[1,2,1,2]
[{1,5},{4},{2,3},{6}]=>[{6},{2,3},{4},{1,5}]=>[1,2,1,2]
[{1,6},{4},{2,3},{5}]=>[{5},{2,3},{4},{1,6}]=>[1,2,1,2]
[{1,5},{6},{2,3},{4}]=>[{4},{2,3},{6},{1,5}]=>[1,2,1,2]
[{1,6},{5},{2,3},{4}]=>[{4},{2,3},{5},{1,6}]=>[1,2,1,2]
[{1,4},{5},{2,6},{3}]=>[{3},{2,6},{5},{1,4}]=>[1,2,1,2]
[{1,4},{6},{2,5},{3}]=>[{3},{2,5},{6},{1,4}]=>[1,2,1,2]
[{1,5},{4},{2,6},{3}]=>[{3},{2,6},{4},{1,5}]=>[1,2,1,2]
[{1,6},{4},{2,5},{3}]=>[{3},{2,5},{4},{1,6}]=>[1,2,1,2]
[{1,5},{6},{2,4},{3}]=>[{3},{2,4},{6},{1,5}]=>[1,2,1,2]
[{1,6},{5},{2,4},{3}]=>[{3},{2,4},{5},{1,6}]=>[1,2,1,2]
[{1,3},{4},{5,6},{2}]=>[{2},{5,6},{4},{1,3}]=>[1,2,1,2]
[{1,3},{5},{4,6},{2}]=>[{2},{4,6},{5},{1,3}]=>[1,2,1,2]
[{1,3},{6},{4,5},{2}]=>[{2},{4,5},{6},{1,3}]=>[1,2,1,2]
[{1,4},{3},{5,6},{2}]=>[{2},{5,6},{3},{1,4}]=>[1,2,1,2]
[{1,5},{3},{4,6},{2}]=>[{2},{4,6},{3},{1,5}]=>[1,2,1,2]
[{1,6},{3},{4,5},{2}]=>[{2},{4,5},{3},{1,6}]=>[1,2,1,2]
[{1,4},{5},{3,6},{2}]=>[{2},{3,6},{5},{1,4}]=>[1,2,1,2]
[{1,4},{6},{3,5},{2}]=>[{2},{3,5},{6},{1,4}]=>[1,2,1,2]
[{1,5},{4},{3,6},{2}]=>[{2},{3,6},{4},{1,5}]=>[1,2,1,2]
[{1,6},{4},{3,5},{2}]=>[{2},{3,5},{4},{1,6}]=>[1,2,1,2]
[{1,5},{6},{3,4},{2}]=>[{2},{3,4},{6},{1,5}]=>[1,2,1,2]
[{1,6},{5},{3,4},{2}]=>[{2},{3,4},{5},{1,6}]=>[1,2,1,2]
[{2,3},{1},{4,5},{6}]=>[{6},{4,5},{1},{2,3}]=>[1,2,1,2]
[{2,3},{1},{4,6},{5}]=>[{5},{4,6},{1},{2,3}]=>[1,2,1,2]
[{2,3},{1},{5,6},{4}]=>[{4},{5,6},{1},{2,3}]=>[1,2,1,2]
[{2,4},{1},{3,5},{6}]=>[{6},{3,5},{1},{2,4}]=>[1,2,1,2]
[{2,4},{1},{3,6},{5}]=>[{5},{3,6},{1},{2,4}]=>[1,2,1,2]
[{2,5},{1},{3,4},{6}]=>[{6},{3,4},{1},{2,5}]=>[1,2,1,2]
[{2,6},{1},{3,4},{5}]=>[{5},{3,4},{1},{2,6}]=>[1,2,1,2]
[{2,5},{1},{3,6},{4}]=>[{4},{3,6},{1},{2,5}]=>[1,2,1,2]
[{2,6},{1},{3,5},{4}]=>[{4},{3,5},{1},{2,6}]=>[1,2,1,2]
[{2,4},{1},{5,6},{3}]=>[{3},{5,6},{1},{2,4}]=>[1,2,1,2]
[{2,5},{1},{4,6},{3}]=>[{3},{4,6},{1},{2,5}]=>[1,2,1,2]
[{2,6},{1},{4,5},{3}]=>[{3},{4,5},{1},{2,6}]=>[1,2,1,2]
[{3,4},{1},{2,5},{6}]=>[{6},{2,5},{1},{3,4}]=>[1,2,1,2]
[{3,4},{1},{2,6},{5}]=>[{5},{2,6},{1},{3,4}]=>[1,2,1,2]
[{3,5},{1},{2,4},{6}]=>[{6},{2,4},{1},{3,5}]=>[1,2,1,2]
[{3,6},{1},{2,4},{5}]=>[{5},{2,4},{1},{3,6}]=>[1,2,1,2]
[{3,5},{1},{2,6},{4}]=>[{4},{2,6},{1},{3,5}]=>[1,2,1,2]
[{3,6},{1},{2,5},{4}]=>[{4},{2,5},{1},{3,6}]=>[1,2,1,2]
[{4,5},{1},{2,3},{6}]=>[{6},{2,3},{1},{4,5}]=>[1,2,1,2]
[{4,6},{1},{2,3},{5}]=>[{5},{2,3},{1},{4,6}]=>[1,2,1,2]
[{5,6},{1},{2,3},{4}]=>[{4},{2,3},{1},{5,6}]=>[1,2,1,2]
[{4,5},{1},{2,6},{3}]=>[{3},{2,6},{1},{4,5}]=>[1,2,1,2]
[{4,6},{1},{2,5},{3}]=>[{3},{2,5},{1},{4,6}]=>[1,2,1,2]
[{5,6},{1},{2,4},{3}]=>[{3},{2,4},{1},{5,6}]=>[1,2,1,2]
[{3,4},{1},{5,6},{2}]=>[{2},{5,6},{1},{3,4}]=>[1,2,1,2]
[{3,5},{1},{4,6},{2}]=>[{2},{4,6},{1},{3,5}]=>[1,2,1,2]
[{3,6},{1},{4,5},{2}]=>[{2},{4,5},{1},{3,6}]=>[1,2,1,2]
[{4,5},{1},{3,6},{2}]=>[{2},{3,6},{1},{4,5}]=>[1,2,1,2]
[{4,6},{1},{3,5},{2}]=>[{2},{3,5},{1},{4,6}]=>[1,2,1,2]
[{5,6},{1},{3,4},{2}]=>[{2},{3,4},{1},{5,6}]=>[1,2,1,2]
[{2,3},{4},{1,5},{6}]=>[{6},{1,5},{4},{2,3}]=>[1,2,1,2]
[{2,3},{4},{1,6},{5}]=>[{5},{1,6},{4},{2,3}]=>[1,2,1,2]
[{2,3},{5},{1,4},{6}]=>[{6},{1,4},{5},{2,3}]=>[1,2,1,2]
[{2,3},{6},{1,4},{5}]=>[{5},{1,4},{6},{2,3}]=>[1,2,1,2]
[{2,3},{5},{1,6},{4}]=>[{4},{1,6},{5},{2,3}]=>[1,2,1,2]
[{2,3},{6},{1,5},{4}]=>[{4},{1,5},{6},{2,3}]=>[1,2,1,2]
[{2,4},{3},{1,5},{6}]=>[{6},{1,5},{3},{2,4}]=>[1,2,1,2]
[{2,4},{3},{1,6},{5}]=>[{5},{1,6},{3},{2,4}]=>[1,2,1,2]
[{2,5},{3},{1,4},{6}]=>[{6},{1,4},{3},{2,5}]=>[1,2,1,2]
[{2,6},{3},{1,4},{5}]=>[{5},{1,4},{3},{2,6}]=>[1,2,1,2]
[{2,5},{3},{1,6},{4}]=>[{4},{1,6},{3},{2,5}]=>[1,2,1,2]
[{2,6},{3},{1,5},{4}]=>[{4},{1,5},{3},{2,6}]=>[1,2,1,2]
[{2,4},{5},{1,3},{6}]=>[{6},{1,3},{5},{2,4}]=>[1,2,1,2]
[{2,4},{6},{1,3},{5}]=>[{5},{1,3},{6},{2,4}]=>[1,2,1,2]
[{2,5},{4},{1,3},{6}]=>[{6},{1,3},{4},{2,5}]=>[1,2,1,2]
[{2,6},{4},{1,3},{5}]=>[{5},{1,3},{4},{2,6}]=>[1,2,1,2]
[{2,5},{6},{1,3},{4}]=>[{4},{1,3},{6},{2,5}]=>[1,2,1,2]
[{2,6},{5},{1,3},{4}]=>[{4},{1,3},{5},{2,6}]=>[1,2,1,2]
[{2,4},{5},{1,6},{3}]=>[{3},{1,6},{5},{2,4}]=>[1,2,1,2]
[{2,4},{6},{1,5},{3}]=>[{3},{1,5},{6},{2,4}]=>[1,2,1,2]
[{2,5},{4},{1,6},{3}]=>[{3},{1,6},{4},{2,5}]=>[1,2,1,2]
[{2,6},{4},{1,5},{3}]=>[{3},{1,5},{4},{2,6}]=>[1,2,1,2]
[{2,5},{6},{1,4},{3}]=>[{3},{1,4},{6},{2,5}]=>[1,2,1,2]
[{2,6},{5},{1,4},{3}]=>[{3},{1,4},{5},{2,6}]=>[1,2,1,2]
[{3,4},{2},{1,5},{6}]=>[{6},{1,5},{2},{3,4}]=>[1,2,1,2]
[{3,4},{2},{1,6},{5}]=>[{5},{1,6},{2},{3,4}]=>[1,2,1,2]
[{3,5},{2},{1,4},{6}]=>[{6},{1,4},{2},{3,5}]=>[1,2,1,2]
[{3,6},{2},{1,4},{5}]=>[{5},{1,4},{2},{3,6}]=>[1,2,1,2]
[{3,5},{2},{1,6},{4}]=>[{4},{1,6},{2},{3,5}]=>[1,2,1,2]
[{3,6},{2},{1,5},{4}]=>[{4},{1,5},{2},{3,6}]=>[1,2,1,2]
[{4,5},{2},{1,3},{6}]=>[{6},{1,3},{2},{4,5}]=>[1,2,1,2]
[{4,6},{2},{1,3},{5}]=>[{5},{1,3},{2},{4,6}]=>[1,2,1,2]
[{5,6},{2},{1,3},{4}]=>[{4},{1,3},{2},{5,6}]=>[1,2,1,2]
[{4,5},{2},{1,6},{3}]=>[{3},{1,6},{2},{4,5}]=>[1,2,1,2]
[{4,6},{2},{1,5},{3}]=>[{3},{1,5},{2},{4,6}]=>[1,2,1,2]
[{5,6},{2},{1,4},{3}]=>[{3},{1,4},{2},{5,6}]=>[1,2,1,2]
[{3,4},{5},{1,2},{6}]=>[{6},{1,2},{5},{3,4}]=>[1,2,1,2]
[{3,4},{6},{1,2},{5}]=>[{5},{1,2},{6},{3,4}]=>[1,2,1,2]
[{3,5},{4},{1,2},{6}]=>[{6},{1,2},{4},{3,5}]=>[1,2,1,2]
[{3,6},{4},{1,2},{5}]=>[{5},{1,2},{4},{3,6}]=>[1,2,1,2]
[{3,5},{6},{1,2},{4}]=>[{4},{1,2},{6},{3,5}]=>[1,2,1,2]
[{3,6},{5},{1,2},{4}]=>[{4},{1,2},{5},{3,6}]=>[1,2,1,2]
[{4,5},{3},{1,2},{6}]=>[{6},{1,2},{3},{4,5}]=>[1,2,1,2]
[{4,6},{3},{1,2},{5}]=>[{5},{1,2},{3},{4,6}]=>[1,2,1,2]
[{5,6},{3},{1,2},{4}]=>[{4},{1,2},{3},{5,6}]=>[1,2,1,2]
[{4,5},{6},{1,2},{3}]=>[{3},{1,2},{6},{4,5}]=>[1,2,1,2]
[{4,6},{5},{1,2},{3}]=>[{3},{1,2},{5},{4,6}]=>[1,2,1,2]
[{5,6},{4},{1,2},{3}]=>[{3},{1,2},{4},{5,6}]=>[1,2,1,2]
[{3,4},{5},{1,6},{2}]=>[{2},{1,6},{5},{3,4}]=>[1,2,1,2]
[{3,4},{6},{1,5},{2}]=>[{2},{1,5},{6},{3,4}]=>[1,2,1,2]
[{3,5},{4},{1,6},{2}]=>[{2},{1,6},{4},{3,5}]=>[1,2,1,2]
[{3,6},{4},{1,5},{2}]=>[{2},{1,5},{4},{3,6}]=>[1,2,1,2]
[{3,5},{6},{1,4},{2}]=>[{2},{1,4},{6},{3,5}]=>[1,2,1,2]
[{3,6},{5},{1,4},{2}]=>[{2},{1,4},{5},{3,6}]=>[1,2,1,2]
[{4,5},{3},{1,6},{2}]=>[{2},{1,6},{3},{4,5}]=>[1,2,1,2]
[{4,6},{3},{1,5},{2}]=>[{2},{1,5},{3},{4,6}]=>[1,2,1,2]
[{5,6},{3},{1,4},{2}]=>[{2},{1,4},{3},{5,6}]=>[1,2,1,2]
[{4,5},{6},{1,3},{2}]=>[{2},{1,3},{6},{4,5}]=>[1,2,1,2]
[{4,6},{5},{1,3},{2}]=>[{2},{1,3},{5},{4,6}]=>[1,2,1,2]
[{5,6},{4},{1,3},{2}]=>[{2},{1,3},{4},{5,6}]=>[1,2,1,2]
[{2,3},{4},{5,6},{1}]=>[{1},{5,6},{4},{2,3}]=>[1,2,1,2]
[{2,3},{5},{4,6},{1}]=>[{1},{4,6},{5},{2,3}]=>[1,2,1,2]
[{2,3},{6},{4,5},{1}]=>[{1},{4,5},{6},{2,3}]=>[1,2,1,2]
[{2,4},{3},{5,6},{1}]=>[{1},{5,6},{3},{2,4}]=>[1,2,1,2]
[{2,5},{3},{4,6},{1}]=>[{1},{4,6},{3},{2,5}]=>[1,2,1,2]
[{2,6},{3},{4,5},{1}]=>[{1},{4,5},{3},{2,6}]=>[1,2,1,2]
[{2,4},{5},{3,6},{1}]=>[{1},{3,6},{5},{2,4}]=>[1,2,1,2]
[{2,4},{6},{3,5},{1}]=>[{1},{3,5},{6},{2,4}]=>[1,2,1,2]
[{2,5},{4},{3,6},{1}]=>[{1},{3,6},{4},{2,5}]=>[1,2,1,2]
[{2,6},{4},{3,5},{1}]=>[{1},{3,5},{4},{2,6}]=>[1,2,1,2]
[{2,5},{6},{3,4},{1}]=>[{1},{3,4},{6},{2,5}]=>[1,2,1,2]
[{2,6},{5},{3,4},{1}]=>[{1},{3,4},{5},{2,6}]=>[1,2,1,2]
[{3,4},{2},{5,6},{1}]=>[{1},{5,6},{2},{3,4}]=>[1,2,1,2]
[{3,5},{2},{4,6},{1}]=>[{1},{4,6},{2},{3,5}]=>[1,2,1,2]
[{3,6},{2},{4,5},{1}]=>[{1},{4,5},{2},{3,6}]=>[1,2,1,2]
[{4,5},{2},{3,6},{1}]=>[{1},{3,6},{2},{4,5}]=>[1,2,1,2]
[{4,6},{2},{3,5},{1}]=>[{1},{3,5},{2},{4,6}]=>[1,2,1,2]
[{5,6},{2},{3,4},{1}]=>[{1},{3,4},{2},{5,6}]=>[1,2,1,2]
[{3,4},{5},{2,6},{1}]=>[{1},{2,6},{5},{3,4}]=>[1,2,1,2]
[{3,4},{6},{2,5},{1}]=>[{1},{2,5},{6},{3,4}]=>[1,2,1,2]
[{3,5},{4},{2,6},{1}]=>[{1},{2,6},{4},{3,5}]=>[1,2,1,2]
[{3,6},{4},{2,5},{1}]=>[{1},{2,5},{4},{3,6}]=>[1,2,1,2]
[{3,5},{6},{2,4},{1}]=>[{1},{2,4},{6},{3,5}]=>[1,2,1,2]
[{3,6},{5},{2,4},{1}]=>[{1},{2,4},{5},{3,6}]=>[1,2,1,2]
[{4,5},{3},{2,6},{1}]=>[{1},{2,6},{3},{4,5}]=>[1,2,1,2]
[{4,6},{3},{2,5},{1}]=>[{1},{2,5},{3},{4,6}]=>[1,2,1,2]
[{5,6},{3},{2,4},{1}]=>[{1},{2,4},{3},{5,6}]=>[1,2,1,2]
[{4,5},{6},{2,3},{1}]=>[{1},{2,3},{6},{4,5}]=>[1,2,1,2]
[{4,6},{5},{2,3},{1}]=>[{1},{2,3},{5},{4,6}]=>[1,2,1,2]
[{5,6},{4},{2,3},{1}]=>[{1},{2,3},{4},{5,6}]=>[1,2,1,2]
[{1,2},{3},{4,5,6}]=>[{4,5,6},{3},{1,2}]=>[3,1,2]
[{1,2},{4},{3,5,6}]=>[{3,5,6},{4},{1,2}]=>[3,1,2]
[{1,2},{5},{3,4,6}]=>[{3,4,6},{5},{1,2}]=>[3,1,2]
[{1,2},{6},{3,4,5}]=>[{3,4,5},{6},{1,2}]=>[3,1,2]
[{1,3},{2},{4,5,6}]=>[{4,5,6},{2},{1,3}]=>[3,1,2]
[{1,4},{2},{3,5,6}]=>[{3,5,6},{2},{1,4}]=>[3,1,2]
[{1,5},{2},{3,4,6}]=>[{3,4,6},{2},{1,5}]=>[3,1,2]
[{1,6},{2},{3,4,5}]=>[{3,4,5},{2},{1,6}]=>[3,1,2]
[{1,3},{4},{2,5,6}]=>[{2,5,6},{4},{1,3}]=>[3,1,2]
[{1,3},{5},{2,4,6}]=>[{2,4,6},{5},{1,3}]=>[3,1,2]
[{1,3},{6},{2,4,5}]=>[{2,4,5},{6},{1,3}]=>[3,1,2]
[{1,4},{3},{2,5,6}]=>[{2,5,6},{3},{1,4}]=>[3,1,2]
[{1,5},{3},{2,4,6}]=>[{2,4,6},{3},{1,5}]=>[3,1,2]
[{1,6},{3},{2,4,5}]=>[{2,4,5},{3},{1,6}]=>[3,1,2]
[{1,4},{5},{2,3,6}]=>[{2,3,6},{5},{1,4}]=>[3,1,2]
[{1,4},{6},{2,3,5}]=>[{2,3,5},{6},{1,4}]=>[3,1,2]
[{1,5},{4},{2,3,6}]=>[{2,3,6},{4},{1,5}]=>[3,1,2]
[{1,6},{4},{2,3,5}]=>[{2,3,5},{4},{1,6}]=>[3,1,2]
[{1,5},{6},{2,3,4}]=>[{2,3,4},{6},{1,5}]=>[3,1,2]
[{1,6},{5},{2,3,4}]=>[{2,3,4},{5},{1,6}]=>[3,1,2]
[{2,3},{1},{4,5,6}]=>[{4,5,6},{1},{2,3}]=>[3,1,2]
[{2,4},{1},{3,5,6}]=>[{3,5,6},{1},{2,4}]=>[3,1,2]
[{2,5},{1},{3,4,6}]=>[{3,4,6},{1},{2,5}]=>[3,1,2]
[{2,6},{1},{3,4,5}]=>[{3,4,5},{1},{2,6}]=>[3,1,2]
[{3,4},{1},{2,5,6}]=>[{2,5,6},{1},{3,4}]=>[3,1,2]
[{3,5},{1},{2,4,6}]=>[{2,4,6},{1},{3,5}]=>[3,1,2]
[{3,6},{1},{2,4,5}]=>[{2,4,5},{1},{3,6}]=>[3,1,2]
[{4,5},{1},{2,3,6}]=>[{2,3,6},{1},{4,5}]=>[3,1,2]
[{4,6},{1},{2,3,5}]=>[{2,3,5},{1},{4,6}]=>[3,1,2]
[{5,6},{1},{2,3,4}]=>[{2,3,4},{1},{5,6}]=>[3,1,2]
[{2,3},{4},{1,5,6}]=>[{1,5,6},{4},{2,3}]=>[3,1,2]
[{2,3},{5},{1,4,6}]=>[{1,4,6},{5},{2,3}]=>[3,1,2]
[{2,3},{6},{1,4,5}]=>[{1,4,5},{6},{2,3}]=>[3,1,2]
[{2,4},{3},{1,5,6}]=>[{1,5,6},{3},{2,4}]=>[3,1,2]
[{2,5},{3},{1,4,6}]=>[{1,4,6},{3},{2,5}]=>[3,1,2]
[{2,6},{3},{1,4,5}]=>[{1,4,5},{3},{2,6}]=>[3,1,2]
[{2,4},{5},{1,3,6}]=>[{1,3,6},{5},{2,4}]=>[3,1,2]
[{2,4},{6},{1,3,5}]=>[{1,3,5},{6},{2,4}]=>[3,1,2]
[{2,5},{4},{1,3,6}]=>[{1,3,6},{4},{2,5}]=>[3,1,2]
[{2,6},{4},{1,3,5}]=>[{1,3,5},{4},{2,6}]=>[3,1,2]
[{2,5},{6},{1,3,4}]=>[{1,3,4},{6},{2,5}]=>[3,1,2]
[{2,6},{5},{1,3,4}]=>[{1,3,4},{5},{2,6}]=>[3,1,2]
[{3,4},{2},{1,5,6}]=>[{1,5,6},{2},{3,4}]=>[3,1,2]
[{3,5},{2},{1,4,6}]=>[{1,4,6},{2},{3,5}]=>[3,1,2]
[{3,6},{2},{1,4,5}]=>[{1,4,5},{2},{3,6}]=>[3,1,2]
[{4,5},{2},{1,3,6}]=>[{1,3,6},{2},{4,5}]=>[3,1,2]
[{4,6},{2},{1,3,5}]=>[{1,3,5},{2},{4,6}]=>[3,1,2]
[{5,6},{2},{1,3,4}]=>[{1,3,4},{2},{5,6}]=>[3,1,2]
[{3,4},{5},{1,2,6}]=>[{1,2,6},{5},{3,4}]=>[3,1,2]
[{3,4},{6},{1,2,5}]=>[{1,2,5},{6},{3,4}]=>[3,1,2]
[{3,5},{4},{1,2,6}]=>[{1,2,6},{4},{3,5}]=>[3,1,2]
[{3,6},{4},{1,2,5}]=>[{1,2,5},{4},{3,6}]=>[3,1,2]
[{3,5},{6},{1,2,4}]=>[{1,2,4},{6},{3,5}]=>[3,1,2]
[{3,6},{5},{1,2,4}]=>[{1,2,4},{5},{3,6}]=>[3,1,2]
[{4,5},{3},{1,2,6}]=>[{1,2,6},{3},{4,5}]=>[3,1,2]
[{4,6},{3},{1,2,5}]=>[{1,2,5},{3},{4,6}]=>[3,1,2]
[{5,6},{3},{1,2,4}]=>[{1,2,4},{3},{5,6}]=>[3,1,2]
[{4,5},{6},{1,2,3}]=>[{1,2,3},{6},{4,5}]=>[3,1,2]
[{4,6},{5},{1,2,3}]=>[{1,2,3},{5},{4,6}]=>[3,1,2]
[{5,6},{4},{1,2,3}]=>[{1,2,3},{4},{5,6}]=>[3,1,2]
[{1,2},{3,4},{5},{6}]=>[{6},{5},{3,4},{1,2}]=>[1,1,2,2]
[{1,2},{3,4},{6},{5}]=>[{5},{6},{3,4},{1,2}]=>[1,1,2,2]
[{1,2},{3,5},{4},{6}]=>[{6},{4},{3,5},{1,2}]=>[1,1,2,2]
[{1,2},{3,6},{4},{5}]=>[{5},{4},{3,6},{1,2}]=>[1,1,2,2]
[{1,2},{3,5},{6},{4}]=>[{4},{6},{3,5},{1,2}]=>[1,1,2,2]
[{1,2},{3,6},{5},{4}]=>[{4},{5},{3,6},{1,2}]=>[1,1,2,2]
[{1,2},{4,5},{3},{6}]=>[{6},{3},{4,5},{1,2}]=>[1,1,2,2]
[{1,2},{4,6},{3},{5}]=>[{5},{3},{4,6},{1,2}]=>[1,1,2,2]
[{1,2},{5,6},{3},{4}]=>[{4},{3},{5,6},{1,2}]=>[1,1,2,2]
[{1,2},{4,5},{6},{3}]=>[{3},{6},{4,5},{1,2}]=>[1,1,2,2]
[{1,2},{4,6},{5},{3}]=>[{3},{5},{4,6},{1,2}]=>[1,1,2,2]
[{1,2},{5,6},{4},{3}]=>[{3},{4},{5,6},{1,2}]=>[1,1,2,2]
[{1,3},{2,4},{5},{6}]=>[{6},{5},{2,4},{1,3}]=>[1,1,2,2]
[{1,3},{2,4},{6},{5}]=>[{5},{6},{2,4},{1,3}]=>[1,1,2,2]
[{1,3},{2,5},{4},{6}]=>[{6},{4},{2,5},{1,3}]=>[1,1,2,2]
[{1,3},{2,6},{4},{5}]=>[{5},{4},{2,6},{1,3}]=>[1,1,2,2]
[{1,3},{2,5},{6},{4}]=>[{4},{6},{2,5},{1,3}]=>[1,1,2,2]
[{1,3},{2,6},{5},{4}]=>[{4},{5},{2,6},{1,3}]=>[1,1,2,2]
[{1,4},{2,3},{5},{6}]=>[{6},{5},{2,3},{1,4}]=>[1,1,2,2]
[{1,4},{2,3},{6},{5}]=>[{5},{6},{2,3},{1,4}]=>[1,1,2,2]
[{1,5},{2,3},{4},{6}]=>[{6},{4},{2,3},{1,5}]=>[1,1,2,2]
[{1,6},{2,3},{4},{5}]=>[{5},{4},{2,3},{1,6}]=>[1,1,2,2]
[{1,5},{2,3},{6},{4}]=>[{4},{6},{2,3},{1,5}]=>[1,1,2,2]
[{1,6},{2,3},{5},{4}]=>[{4},{5},{2,3},{1,6}]=>[1,1,2,2]
[{1,4},{2,5},{3},{6}]=>[{6},{3},{2,5},{1,4}]=>[1,1,2,2]
[{1,4},{2,6},{3},{5}]=>[{5},{3},{2,6},{1,4}]=>[1,1,2,2]
[{1,5},{2,4},{3},{6}]=>[{6},{3},{2,4},{1,5}]=>[1,1,2,2]
[{1,6},{2,4},{3},{5}]=>[{5},{3},{2,4},{1,6}]=>[1,1,2,2]
[{1,5},{2,6},{3},{4}]=>[{4},{3},{2,6},{1,5}]=>[1,1,2,2]
[{1,6},{2,5},{3},{4}]=>[{4},{3},{2,5},{1,6}]=>[1,1,2,2]
[{1,4},{2,5},{6},{3}]=>[{3},{6},{2,5},{1,4}]=>[1,1,2,2]
[{1,4},{2,6},{5},{3}]=>[{3},{5},{2,6},{1,4}]=>[1,1,2,2]
[{1,5},{2,4},{6},{3}]=>[{3},{6},{2,4},{1,5}]=>[1,1,2,2]
[{1,6},{2,4},{5},{3}]=>[{3},{5},{2,4},{1,6}]=>[1,1,2,2]
[{1,5},{2,6},{4},{3}]=>[{3},{4},{2,6},{1,5}]=>[1,1,2,2]
[{1,6},{2,5},{4},{3}]=>[{3},{4},{2,5},{1,6}]=>[1,1,2,2]
[{1,3},{4,5},{2},{6}]=>[{6},{2},{4,5},{1,3}]=>[1,1,2,2]
[{1,3},{4,6},{2},{5}]=>[{5},{2},{4,6},{1,3}]=>[1,1,2,2]
[{1,3},{5,6},{2},{4}]=>[{4},{2},{5,6},{1,3}]=>[1,1,2,2]
[{1,4},{3,5},{2},{6}]=>[{6},{2},{3,5},{1,4}]=>[1,1,2,2]
[{1,4},{3,6},{2},{5}]=>[{5},{2},{3,6},{1,4}]=>[1,1,2,2]
[{1,5},{3,4},{2},{6}]=>[{6},{2},{3,4},{1,5}]=>[1,1,2,2]
[{1,6},{3,4},{2},{5}]=>[{5},{2},{3,4},{1,6}]=>[1,1,2,2]
[{1,5},{3,6},{2},{4}]=>[{4},{2},{3,6},{1,5}]=>[1,1,2,2]
[{1,6},{3,5},{2},{4}]=>[{4},{2},{3,5},{1,6}]=>[1,1,2,2]
[{1,4},{5,6},{2},{3}]=>[{3},{2},{5,6},{1,4}]=>[1,1,2,2]
[{1,5},{4,6},{2},{3}]=>[{3},{2},{4,6},{1,5}]=>[1,1,2,2]
[{1,6},{4,5},{2},{3}]=>[{3},{2},{4,5},{1,6}]=>[1,1,2,2]
[{1,3},{4,5},{6},{2}]=>[{2},{6},{4,5},{1,3}]=>[1,1,2,2]
[{1,3},{4,6},{5},{2}]=>[{2},{5},{4,6},{1,3}]=>[1,1,2,2]
[{1,3},{5,6},{4},{2}]=>[{2},{4},{5,6},{1,3}]=>[1,1,2,2]
[{1,4},{3,5},{6},{2}]=>[{2},{6},{3,5},{1,4}]=>[1,1,2,2]
[{1,4},{3,6},{5},{2}]=>[{2},{5},{3,6},{1,4}]=>[1,1,2,2]
[{1,5},{3,4},{6},{2}]=>[{2},{6},{3,4},{1,5}]=>[1,1,2,2]
[{1,6},{3,4},{5},{2}]=>[{2},{5},{3,4},{1,6}]=>[1,1,2,2]
[{1,5},{3,6},{4},{2}]=>[{2},{4},{3,6},{1,5}]=>[1,1,2,2]
[{1,6},{3,5},{4},{2}]=>[{2},{4},{3,5},{1,6}]=>[1,1,2,2]
[{1,4},{5,6},{3},{2}]=>[{2},{3},{5,6},{1,4}]=>[1,1,2,2]
[{1,5},{4,6},{3},{2}]=>[{2},{3},{4,6},{1,5}]=>[1,1,2,2]
[{1,6},{4,5},{3},{2}]=>[{2},{3},{4,5},{1,6}]=>[1,1,2,2]
[{2,3},{1,4},{5},{6}]=>[{6},{5},{1,4},{2,3}]=>[1,1,2,2]
[{2,3},{1,4},{6},{5}]=>[{5},{6},{1,4},{2,3}]=>[1,1,2,2]
[{2,3},{1,5},{4},{6}]=>[{6},{4},{1,5},{2,3}]=>[1,1,2,2]
[{2,3},{1,6},{4},{5}]=>[{5},{4},{1,6},{2,3}]=>[1,1,2,2]
[{2,3},{1,5},{6},{4}]=>[{4},{6},{1,5},{2,3}]=>[1,1,2,2]
[{2,3},{1,6},{5},{4}]=>[{4},{5},{1,6},{2,3}]=>[1,1,2,2]
[{2,4},{1,3},{5},{6}]=>[{6},{5},{1,3},{2,4}]=>[1,1,2,2]
[{2,4},{1,3},{6},{5}]=>[{5},{6},{1,3},{2,4}]=>[1,1,2,2]
[{2,5},{1,3},{4},{6}]=>[{6},{4},{1,3},{2,5}]=>[1,1,2,2]
[{2,6},{1,3},{4},{5}]=>[{5},{4},{1,3},{2,6}]=>[1,1,2,2]
[{2,5},{1,3},{6},{4}]=>[{4},{6},{1,3},{2,5}]=>[1,1,2,2]
[{2,6},{1,3},{5},{4}]=>[{4},{5},{1,3},{2,6}]=>[1,1,2,2]
[{2,4},{1,5},{3},{6}]=>[{6},{3},{1,5},{2,4}]=>[1,1,2,2]
[{2,4},{1,6},{3},{5}]=>[{5},{3},{1,6},{2,4}]=>[1,1,2,2]
[{2,5},{1,4},{3},{6}]=>[{6},{3},{1,4},{2,5}]=>[1,1,2,2]
[{2,6},{1,4},{3},{5}]=>[{5},{3},{1,4},{2,6}]=>[1,1,2,2]
[{2,5},{1,6},{3},{4}]=>[{4},{3},{1,6},{2,5}]=>[1,1,2,2]
[{2,6},{1,5},{3},{4}]=>[{4},{3},{1,5},{2,6}]=>[1,1,2,2]
[{2,4},{1,5},{6},{3}]=>[{3},{6},{1,5},{2,4}]=>[1,1,2,2]
[{2,4},{1,6},{5},{3}]=>[{3},{5},{1,6},{2,4}]=>[1,1,2,2]
[{2,5},{1,4},{6},{3}]=>[{3},{6},{1,4},{2,5}]=>[1,1,2,2]
[{2,6},{1,4},{5},{3}]=>[{3},{5},{1,4},{2,6}]=>[1,1,2,2]
[{2,5},{1,6},{4},{3}]=>[{3},{4},{1,6},{2,5}]=>[1,1,2,2]
[{2,6},{1,5},{4},{3}]=>[{3},{4},{1,5},{2,6}]=>[1,1,2,2]
[{3,4},{1,2},{5},{6}]=>[{6},{5},{1,2},{3,4}]=>[1,1,2,2]
[{3,4},{1,2},{6},{5}]=>[{5},{6},{1,2},{3,4}]=>[1,1,2,2]
[{3,5},{1,2},{4},{6}]=>[{6},{4},{1,2},{3,5}]=>[1,1,2,2]
[{3,6},{1,2},{4},{5}]=>[{5},{4},{1,2},{3,6}]=>[1,1,2,2]
[{3,5},{1,2},{6},{4}]=>[{4},{6},{1,2},{3,5}]=>[1,1,2,2]
[{3,6},{1,2},{5},{4}]=>[{4},{5},{1,2},{3,6}]=>[1,1,2,2]
[{4,5},{1,2},{3},{6}]=>[{6},{3},{1,2},{4,5}]=>[1,1,2,2]
[{4,6},{1,2},{3},{5}]=>[{5},{3},{1,2},{4,6}]=>[1,1,2,2]
[{5,6},{1,2},{3},{4}]=>[{4},{3},{1,2},{5,6}]=>[1,1,2,2]
[{4,5},{1,2},{6},{3}]=>[{3},{6},{1,2},{4,5}]=>[1,1,2,2]
[{4,6},{1,2},{5},{3}]=>[{3},{5},{1,2},{4,6}]=>[1,1,2,2]
[{5,6},{1,2},{4},{3}]=>[{3},{4},{1,2},{5,6}]=>[1,1,2,2]
[{3,4},{1,5},{2},{6}]=>[{6},{2},{1,5},{3,4}]=>[1,1,2,2]
[{3,4},{1,6},{2},{5}]=>[{5},{2},{1,6},{3,4}]=>[1,1,2,2]
[{3,5},{1,4},{2},{6}]=>[{6},{2},{1,4},{3,5}]=>[1,1,2,2]
[{3,6},{1,4},{2},{5}]=>[{5},{2},{1,4},{3,6}]=>[1,1,2,2]
[{3,5},{1,6},{2},{4}]=>[{4},{2},{1,6},{3,5}]=>[1,1,2,2]
[{3,6},{1,5},{2},{4}]=>[{4},{2},{1,5},{3,6}]=>[1,1,2,2]
[{4,5},{1,3},{2},{6}]=>[{6},{2},{1,3},{4,5}]=>[1,1,2,2]
[{4,6},{1,3},{2},{5}]=>[{5},{2},{1,3},{4,6}]=>[1,1,2,2]
[{5,6},{1,3},{2},{4}]=>[{4},{2},{1,3},{5,6}]=>[1,1,2,2]
[{4,5},{1,6},{2},{3}]=>[{3},{2},{1,6},{4,5}]=>[1,1,2,2]
[{4,6},{1,5},{2},{3}]=>[{3},{2},{1,5},{4,6}]=>[1,1,2,2]
[{5,6},{1,4},{2},{3}]=>[{3},{2},{1,4},{5,6}]=>[1,1,2,2]
[{3,4},{1,5},{6},{2}]=>[{2},{6},{1,5},{3,4}]=>[1,1,2,2]
[{3,4},{1,6},{5},{2}]=>[{2},{5},{1,6},{3,4}]=>[1,1,2,2]
[{3,5},{1,4},{6},{2}]=>[{2},{6},{1,4},{3,5}]=>[1,1,2,2]
[{3,6},{1,4},{5},{2}]=>[{2},{5},{1,4},{3,6}]=>[1,1,2,2]
[{3,5},{1,6},{4},{2}]=>[{2},{4},{1,6},{3,5}]=>[1,1,2,2]
[{3,6},{1,5},{4},{2}]=>[{2},{4},{1,5},{3,6}]=>[1,1,2,2]
[{4,5},{1,3},{6},{2}]=>[{2},{6},{1,3},{4,5}]=>[1,1,2,2]
[{4,6},{1,3},{5},{2}]=>[{2},{5},{1,3},{4,6}]=>[1,1,2,2]
[{5,6},{1,3},{4},{2}]=>[{2},{4},{1,3},{5,6}]=>[1,1,2,2]
[{4,5},{1,6},{3},{2}]=>[{2},{3},{1,6},{4,5}]=>[1,1,2,2]
[{4,6},{1,5},{3},{2}]=>[{2},{3},{1,5},{4,6}]=>[1,1,2,2]
[{5,6},{1,4},{3},{2}]=>[{2},{3},{1,4},{5,6}]=>[1,1,2,2]
[{2,3},{4,5},{1},{6}]=>[{6},{1},{4,5},{2,3}]=>[1,1,2,2]
[{2,3},{4,6},{1},{5}]=>[{5},{1},{4,6},{2,3}]=>[1,1,2,2]
[{2,3},{5,6},{1},{4}]=>[{4},{1},{5,6},{2,3}]=>[1,1,2,2]
[{2,4},{3,5},{1},{6}]=>[{6},{1},{3,5},{2,4}]=>[1,1,2,2]
[{2,4},{3,6},{1},{5}]=>[{5},{1},{3,6},{2,4}]=>[1,1,2,2]
[{2,5},{3,4},{1},{6}]=>[{6},{1},{3,4},{2,5}]=>[1,1,2,2]
[{2,6},{3,4},{1},{5}]=>[{5},{1},{3,4},{2,6}]=>[1,1,2,2]
[{2,5},{3,6},{1},{4}]=>[{4},{1},{3,6},{2,5}]=>[1,1,2,2]
[{2,6},{3,5},{1},{4}]=>[{4},{1},{3,5},{2,6}]=>[1,1,2,2]
[{2,4},{5,6},{1},{3}]=>[{3},{1},{5,6},{2,4}]=>[1,1,2,2]
[{2,5},{4,6},{1},{3}]=>[{3},{1},{4,6},{2,5}]=>[1,1,2,2]
[{2,6},{4,5},{1},{3}]=>[{3},{1},{4,5},{2,6}]=>[1,1,2,2]
[{3,4},{2,5},{1},{6}]=>[{6},{1},{2,5},{3,4}]=>[1,1,2,2]
[{3,4},{2,6},{1},{5}]=>[{5},{1},{2,6},{3,4}]=>[1,1,2,2]
[{3,5},{2,4},{1},{6}]=>[{6},{1},{2,4},{3,5}]=>[1,1,2,2]
[{3,6},{2,4},{1},{5}]=>[{5},{1},{2,4},{3,6}]=>[1,1,2,2]
[{3,5},{2,6},{1},{4}]=>[{4},{1},{2,6},{3,5}]=>[1,1,2,2]
[{3,6},{2,5},{1},{4}]=>[{4},{1},{2,5},{3,6}]=>[1,1,2,2]
[{4,5},{2,3},{1},{6}]=>[{6},{1},{2,3},{4,5}]=>[1,1,2,2]
[{4,6},{2,3},{1},{5}]=>[{5},{1},{2,3},{4,6}]=>[1,1,2,2]
[{5,6},{2,3},{1},{4}]=>[{4},{1},{2,3},{5,6}]=>[1,1,2,2]
[{4,5},{2,6},{1},{3}]=>[{3},{1},{2,6},{4,5}]=>[1,1,2,2]
[{4,6},{2,5},{1},{3}]=>[{3},{1},{2,5},{4,6}]=>[1,1,2,2]
[{5,6},{2,4},{1},{3}]=>[{3},{1},{2,4},{5,6}]=>[1,1,2,2]
[{3,4},{5,6},{1},{2}]=>[{2},{1},{5,6},{3,4}]=>[1,1,2,2]
[{3,5},{4,6},{1},{2}]=>[{2},{1},{4,6},{3,5}]=>[1,1,2,2]
[{3,6},{4,5},{1},{2}]=>[{2},{1},{4,5},{3,6}]=>[1,1,2,2]
[{4,5},{3,6},{1},{2}]=>[{2},{1},{3,6},{4,5}]=>[1,1,2,2]
[{4,6},{3,5},{1},{2}]=>[{2},{1},{3,5},{4,6}]=>[1,1,2,2]
[{5,6},{3,4},{1},{2}]=>[{2},{1},{3,4},{5,6}]=>[1,1,2,2]
[{2,3},{4,5},{6},{1}]=>[{1},{6},{4,5},{2,3}]=>[1,1,2,2]
[{2,3},{4,6},{5},{1}]=>[{1},{5},{4,6},{2,3}]=>[1,1,2,2]
[{2,3},{5,6},{4},{1}]=>[{1},{4},{5,6},{2,3}]=>[1,1,2,2]
[{2,4},{3,5},{6},{1}]=>[{1},{6},{3,5},{2,4}]=>[1,1,2,2]
[{2,4},{3,6},{5},{1}]=>[{1},{5},{3,6},{2,4}]=>[1,1,2,2]
[{2,5},{3,4},{6},{1}]=>[{1},{6},{3,4},{2,5}]=>[1,1,2,2]
[{2,6},{3,4},{5},{1}]=>[{1},{5},{3,4},{2,6}]=>[1,1,2,2]
[{2,5},{3,6},{4},{1}]=>[{1},{4},{3,6},{2,5}]=>[1,1,2,2]
[{2,6},{3,5},{4},{1}]=>[{1},{4},{3,5},{2,6}]=>[1,1,2,2]
[{2,4},{5,6},{3},{1}]=>[{1},{3},{5,6},{2,4}]=>[1,1,2,2]
[{2,5},{4,6},{3},{1}]=>[{1},{3},{4,6},{2,5}]=>[1,1,2,2]
[{2,6},{4,5},{3},{1}]=>[{1},{3},{4,5},{2,6}]=>[1,1,2,2]
[{3,4},{2,5},{6},{1}]=>[{1},{6},{2,5},{3,4}]=>[1,1,2,2]
[{3,4},{2,6},{5},{1}]=>[{1},{5},{2,6},{3,4}]=>[1,1,2,2]
[{3,5},{2,4},{6},{1}]=>[{1},{6},{2,4},{3,5}]=>[1,1,2,2]
[{3,6},{2,4},{5},{1}]=>[{1},{5},{2,4},{3,6}]=>[1,1,2,2]
[{3,5},{2,6},{4},{1}]=>[{1},{4},{2,6},{3,5}]=>[1,1,2,2]
[{3,6},{2,5},{4},{1}]=>[{1},{4},{2,5},{3,6}]=>[1,1,2,2]
[{4,5},{2,3},{6},{1}]=>[{1},{6},{2,3},{4,5}]=>[1,1,2,2]
[{4,6},{2,3},{5},{1}]=>[{1},{5},{2,3},{4,6}]=>[1,1,2,2]
[{5,6},{2,3},{4},{1}]=>[{1},{4},{2,3},{5,6}]=>[1,1,2,2]
[{4,5},{2,6},{3},{1}]=>[{1},{3},{2,6},{4,5}]=>[1,1,2,2]
[{4,6},{2,5},{3},{1}]=>[{1},{3},{2,5},{4,6}]=>[1,1,2,2]
[{5,6},{2,4},{3},{1}]=>[{1},{3},{2,4},{5,6}]=>[1,1,2,2]
[{3,4},{5,6},{2},{1}]=>[{1},{2},{5,6},{3,4}]=>[1,1,2,2]
[{3,5},{4,6},{2},{1}]=>[{1},{2},{4,6},{3,5}]=>[1,1,2,2]
[{3,6},{4,5},{2},{1}]=>[{1},{2},{4,5},{3,6}]=>[1,1,2,2]
[{4,5},{3,6},{2},{1}]=>[{1},{2},{3,6},{4,5}]=>[1,1,2,2]
[{4,6},{3,5},{2},{1}]=>[{1},{2},{3,5},{4,6}]=>[1,1,2,2]
[{5,6},{3,4},{2},{1}]=>[{1},{2},{3,4},{5,6}]=>[1,1,2,2]
[{1,2},{3,4},{5,6}]=>[{5,6},{3,4},{1,2}]=>[2,2,2]
[{1,2},{3,5},{4,6}]=>[{4,6},{3,5},{1,2}]=>[2,2,2]
[{1,2},{3,6},{4,5}]=>[{4,5},{3,6},{1,2}]=>[2,2,2]
[{1,2},{4,5},{3,6}]=>[{3,6},{4,5},{1,2}]=>[2,2,2]
[{1,2},{4,6},{3,5}]=>[{3,5},{4,6},{1,2}]=>[2,2,2]
[{1,2},{5,6},{3,4}]=>[{3,4},{5,6},{1,2}]=>[2,2,2]
[{1,3},{2,4},{5,6}]=>[{5,6},{2,4},{1,3}]=>[2,2,2]
[{1,3},{2,5},{4,6}]=>[{4,6},{2,5},{1,3}]=>[2,2,2]
[{1,3},{2,6},{4,5}]=>[{4,5},{2,6},{1,3}]=>[2,2,2]
[{1,4},{2,3},{5,6}]=>[{5,6},{2,3},{1,4}]=>[2,2,2]
[{1,5},{2,3},{4,6}]=>[{4,6},{2,3},{1,5}]=>[2,2,2]
[{1,6},{2,3},{4,5}]=>[{4,5},{2,3},{1,6}]=>[2,2,2]
[{1,4},{2,5},{3,6}]=>[{3,6},{2,5},{1,4}]=>[2,2,2]
[{1,4},{2,6},{3,5}]=>[{3,5},{2,6},{1,4}]=>[2,2,2]
[{1,5},{2,4},{3,6}]=>[{3,6},{2,4},{1,5}]=>[2,2,2]
[{1,6},{2,4},{3,5}]=>[{3,5},{2,4},{1,6}]=>[2,2,2]
[{1,5},{2,6},{3,4}]=>[{3,4},{2,6},{1,5}]=>[2,2,2]
[{1,6},{2,5},{3,4}]=>[{3,4},{2,5},{1,6}]=>[2,2,2]
[{1,3},{4,5},{2,6}]=>[{2,6},{4,5},{1,3}]=>[2,2,2]
[{1,3},{4,6},{2,5}]=>[{2,5},{4,6},{1,3}]=>[2,2,2]
[{1,3},{5,6},{2,4}]=>[{2,4},{5,6},{1,3}]=>[2,2,2]
[{1,4},{3,5},{2,6}]=>[{2,6},{3,5},{1,4}]=>[2,2,2]
[{1,4},{3,6},{2,5}]=>[{2,5},{3,6},{1,4}]=>[2,2,2]
[{1,5},{3,4},{2,6}]=>[{2,6},{3,4},{1,5}]=>[2,2,2]
[{1,6},{3,4},{2,5}]=>[{2,5},{3,4},{1,6}]=>[2,2,2]
[{1,5},{3,6},{2,4}]=>[{2,4},{3,6},{1,5}]=>[2,2,2]
[{1,6},{3,5},{2,4}]=>[{2,4},{3,5},{1,6}]=>[2,2,2]
[{1,4},{5,6},{2,3}]=>[{2,3},{5,6},{1,4}]=>[2,2,2]
[{1,5},{4,6},{2,3}]=>[{2,3},{4,6},{1,5}]=>[2,2,2]
[{1,6},{4,5},{2,3}]=>[{2,3},{4,5},{1,6}]=>[2,2,2]
[{2,3},{1,4},{5,6}]=>[{5,6},{1,4},{2,3}]=>[2,2,2]
[{2,3},{1,5},{4,6}]=>[{4,6},{1,5},{2,3}]=>[2,2,2]
[{2,3},{1,6},{4,5}]=>[{4,5},{1,6},{2,3}]=>[2,2,2]
[{2,4},{1,3},{5,6}]=>[{5,6},{1,3},{2,4}]=>[2,2,2]
[{2,5},{1,3},{4,6}]=>[{4,6},{1,3},{2,5}]=>[2,2,2]
[{2,6},{1,3},{4,5}]=>[{4,5},{1,3},{2,6}]=>[2,2,2]
[{2,4},{1,5},{3,6}]=>[{3,6},{1,5},{2,4}]=>[2,2,2]
[{2,4},{1,6},{3,5}]=>[{3,5},{1,6},{2,4}]=>[2,2,2]
[{2,5},{1,4},{3,6}]=>[{3,6},{1,4},{2,5}]=>[2,2,2]
[{2,6},{1,4},{3,5}]=>[{3,5},{1,4},{2,6}]=>[2,2,2]
[{2,5},{1,6},{3,4}]=>[{3,4},{1,6},{2,5}]=>[2,2,2]
[{2,6},{1,5},{3,4}]=>[{3,4},{1,5},{2,6}]=>[2,2,2]
[{3,4},{1,2},{5,6}]=>[{5,6},{1,2},{3,4}]=>[2,2,2]
[{3,5},{1,2},{4,6}]=>[{4,6},{1,2},{3,5}]=>[2,2,2]
[{3,6},{1,2},{4,5}]=>[{4,5},{1,2},{3,6}]=>[2,2,2]
[{4,5},{1,2},{3,6}]=>[{3,6},{1,2},{4,5}]=>[2,2,2]
[{4,6},{1,2},{3,5}]=>[{3,5},{1,2},{4,6}]=>[2,2,2]
[{5,6},{1,2},{3,4}]=>[{3,4},{1,2},{5,6}]=>[2,2,2]
[{3,4},{1,5},{2,6}]=>[{2,6},{1,5},{3,4}]=>[2,2,2]
[{3,4},{1,6},{2,5}]=>[{2,5},{1,6},{3,4}]=>[2,2,2]
[{3,5},{1,4},{2,6}]=>[{2,6},{1,4},{3,5}]=>[2,2,2]
[{3,6},{1,4},{2,5}]=>[{2,5},{1,4},{3,6}]=>[2,2,2]
[{3,5},{1,6},{2,4}]=>[{2,4},{1,6},{3,5}]=>[2,2,2]
[{3,6},{1,5},{2,4}]=>[{2,4},{1,5},{3,6}]=>[2,2,2]
[{4,5},{1,3},{2,6}]=>[{2,6},{1,3},{4,5}]=>[2,2,2]
[{4,6},{1,3},{2,5}]=>[{2,5},{1,3},{4,6}]=>[2,2,2]
[{5,6},{1,3},{2,4}]=>[{2,4},{1,3},{5,6}]=>[2,2,2]
[{4,5},{1,6},{2,3}]=>[{2,3},{1,6},{4,5}]=>[2,2,2]
[{4,6},{1,5},{2,3}]=>[{2,3},{1,5},{4,6}]=>[2,2,2]
[{5,6},{1,4},{2,3}]=>[{2,3},{1,4},{5,6}]=>[2,2,2]
[{2,3},{4,5},{1,6}]=>[{1,6},{4,5},{2,3}]=>[2,2,2]
[{2,3},{4,6},{1,5}]=>[{1,5},{4,6},{2,3}]=>[2,2,2]
[{2,3},{5,6},{1,4}]=>[{1,4},{5,6},{2,3}]=>[2,2,2]
[{2,4},{3,5},{1,6}]=>[{1,6},{3,5},{2,4}]=>[2,2,2]
[{2,4},{3,6},{1,5}]=>[{1,5},{3,6},{2,4}]=>[2,2,2]
[{2,5},{3,4},{1,6}]=>[{1,6},{3,4},{2,5}]=>[2,2,2]
[{2,6},{3,4},{1,5}]=>[{1,5},{3,4},{2,6}]=>[2,2,2]
[{2,5},{3,6},{1,4}]=>[{1,4},{3,6},{2,5}]=>[2,2,2]
[{2,6},{3,5},{1,4}]=>[{1,4},{3,5},{2,6}]=>[2,2,2]
[{2,4},{5,6},{1,3}]=>[{1,3},{5,6},{2,4}]=>[2,2,2]
[{2,5},{4,6},{1,3}]=>[{1,3},{4,6},{2,5}]=>[2,2,2]
[{2,6},{4,5},{1,3}]=>[{1,3},{4,5},{2,6}]=>[2,2,2]
[{3,4},{2,5},{1,6}]=>[{1,6},{2,5},{3,4}]=>[2,2,2]
[{3,4},{2,6},{1,5}]=>[{1,5},{2,6},{3,4}]=>[2,2,2]
[{3,5},{2,4},{1,6}]=>[{1,6},{2,4},{3,5}]=>[2,2,2]
[{3,6},{2,4},{1,5}]=>[{1,5},{2,4},{3,6}]=>[2,2,2]
[{3,5},{2,6},{1,4}]=>[{1,4},{2,6},{3,5}]=>[2,2,2]
[{3,6},{2,5},{1,4}]=>[{1,4},{2,5},{3,6}]=>[2,2,2]
[{4,5},{2,3},{1,6}]=>[{1,6},{2,3},{4,5}]=>[2,2,2]
[{4,6},{2,3},{1,5}]=>[{1,5},{2,3},{4,6}]=>[2,2,2]
[{5,6},{2,3},{1,4}]=>[{1,4},{2,3},{5,6}]=>[2,2,2]
[{4,5},{2,6},{1,3}]=>[{1,3},{2,6},{4,5}]=>[2,2,2]
[{4,6},{2,5},{1,3}]=>[{1,3},{2,5},{4,6}]=>[2,2,2]
[{5,6},{2,4},{1,3}]=>[{1,3},{2,4},{5,6}]=>[2,2,2]
[{3,4},{5,6},{1,2}]=>[{1,2},{5,6},{3,4}]=>[2,2,2]
[{3,5},{4,6},{1,2}]=>[{1,2},{4,6},{3,5}]=>[2,2,2]
[{3,6},{4,5},{1,2}]=>[{1,2},{4,5},{3,6}]=>[2,2,2]
[{4,5},{3,6},{1,2}]=>[{1,2},{3,6},{4,5}]=>[2,2,2]
[{4,6},{3,5},{1,2}]=>[{1,2},{3,5},{4,6}]=>[2,2,2]
[{5,6},{3,4},{1,2}]=>[{1,2},{3,4},{5,6}]=>[2,2,2]
[{1,2},{3,4,5},{6}]=>[{6},{3,4,5},{1,2}]=>[1,3,2]
[{1,2},{3,4,6},{5}]=>[{5},{3,4,6},{1,2}]=>[1,3,2]
[{1,2},{3,5,6},{4}]=>[{4},{3,5,6},{1,2}]=>[1,3,2]
[{1,2},{4,5,6},{3}]=>[{3},{4,5,6},{1,2}]=>[1,3,2]
[{1,3},{2,4,5},{6}]=>[{6},{2,4,5},{1,3}]=>[1,3,2]
[{1,3},{2,4,6},{5}]=>[{5},{2,4,6},{1,3}]=>[1,3,2]
[{1,3},{2,5,6},{4}]=>[{4},{2,5,6},{1,3}]=>[1,3,2]
[{1,4},{2,3,5},{6}]=>[{6},{2,3,5},{1,4}]=>[1,3,2]
[{1,4},{2,3,6},{5}]=>[{5},{2,3,6},{1,4}]=>[1,3,2]
[{1,5},{2,3,4},{6}]=>[{6},{2,3,4},{1,5}]=>[1,3,2]
[{1,6},{2,3,4},{5}]=>[{5},{2,3,4},{1,6}]=>[1,3,2]
[{1,5},{2,3,6},{4}]=>[{4},{2,3,6},{1,5}]=>[1,3,2]
[{1,6},{2,3,5},{4}]=>[{4},{2,3,5},{1,6}]=>[1,3,2]
[{1,4},{2,5,6},{3}]=>[{3},{2,5,6},{1,4}]=>[1,3,2]
[{1,5},{2,4,6},{3}]=>[{3},{2,4,6},{1,5}]=>[1,3,2]
[{1,6},{2,4,5},{3}]=>[{3},{2,4,5},{1,6}]=>[1,3,2]
[{1,3},{4,5,6},{2}]=>[{2},{4,5,6},{1,3}]=>[1,3,2]
[{1,4},{3,5,6},{2}]=>[{2},{3,5,6},{1,4}]=>[1,3,2]
[{1,5},{3,4,6},{2}]=>[{2},{3,4,6},{1,5}]=>[1,3,2]
[{1,6},{3,4,5},{2}]=>[{2},{3,4,5},{1,6}]=>[1,3,2]
[{2,3},{1,4,5},{6}]=>[{6},{1,4,5},{2,3}]=>[1,3,2]
[{2,3},{1,4,6},{5}]=>[{5},{1,4,6},{2,3}]=>[1,3,2]
[{2,3},{1,5,6},{4}]=>[{4},{1,5,6},{2,3}]=>[1,3,2]
[{2,4},{1,3,5},{6}]=>[{6},{1,3,5},{2,4}]=>[1,3,2]
[{2,4},{1,3,6},{5}]=>[{5},{1,3,6},{2,4}]=>[1,3,2]
[{2,5},{1,3,4},{6}]=>[{6},{1,3,4},{2,5}]=>[1,3,2]
[{2,6},{1,3,4},{5}]=>[{5},{1,3,4},{2,6}]=>[1,3,2]
[{2,5},{1,3,6},{4}]=>[{4},{1,3,6},{2,5}]=>[1,3,2]
[{2,6},{1,3,5},{4}]=>[{4},{1,3,5},{2,6}]=>[1,3,2]
[{2,4},{1,5,6},{3}]=>[{3},{1,5,6},{2,4}]=>[1,3,2]
[{2,5},{1,4,6},{3}]=>[{3},{1,4,6},{2,5}]=>[1,3,2]
[{2,6},{1,4,5},{3}]=>[{3},{1,4,5},{2,6}]=>[1,3,2]
[{3,4},{1,2,5},{6}]=>[{6},{1,2,5},{3,4}]=>[1,3,2]
[{3,4},{1,2,6},{5}]=>[{5},{1,2,6},{3,4}]=>[1,3,2]
[{3,5},{1,2,4},{6}]=>[{6},{1,2,4},{3,5}]=>[1,3,2]
[{3,6},{1,2,4},{5}]=>[{5},{1,2,4},{3,6}]=>[1,3,2]
[{3,5},{1,2,6},{4}]=>[{4},{1,2,6},{3,5}]=>[1,3,2]
[{3,6},{1,2,5},{4}]=>[{4},{1,2,5},{3,6}]=>[1,3,2]
[{4,5},{1,2,3},{6}]=>[{6},{1,2,3},{4,5}]=>[1,3,2]
[{4,6},{1,2,3},{5}]=>[{5},{1,2,3},{4,6}]=>[1,3,2]
[{5,6},{1,2,3},{4}]=>[{4},{1,2,3},{5,6}]=>[1,3,2]
[{4,5},{1,2,6},{3}]=>[{3},{1,2,6},{4,5}]=>[1,3,2]
[{4,6},{1,2,5},{3}]=>[{3},{1,2,5},{4,6}]=>[1,3,2]
[{5,6},{1,2,4},{3}]=>[{3},{1,2,4},{5,6}]=>[1,3,2]
[{3,4},{1,5,6},{2}]=>[{2},{1,5,6},{3,4}]=>[1,3,2]
[{3,5},{1,4,6},{2}]=>[{2},{1,4,6},{3,5}]=>[1,3,2]
[{3,6},{1,4,5},{2}]=>[{2},{1,4,5},{3,6}]=>[1,3,2]
[{4,5},{1,3,6},{2}]=>[{2},{1,3,6},{4,5}]=>[1,3,2]
[{4,6},{1,3,5},{2}]=>[{2},{1,3,5},{4,6}]=>[1,3,2]
[{5,6},{1,3,4},{2}]=>[{2},{1,3,4},{5,6}]=>[1,3,2]
[{2,3},{4,5,6},{1}]=>[{1},{4,5,6},{2,3}]=>[1,3,2]
[{2,4},{3,5,6},{1}]=>[{1},{3,5,6},{2,4}]=>[1,3,2]
[{2,5},{3,4,6},{1}]=>[{1},{3,4,6},{2,5}]=>[1,3,2]
[{2,6},{3,4,5},{1}]=>[{1},{3,4,5},{2,6}]=>[1,3,2]
[{3,4},{2,5,6},{1}]=>[{1},{2,5,6},{3,4}]=>[1,3,2]
[{3,5},{2,4,6},{1}]=>[{1},{2,4,6},{3,5}]=>[1,3,2]
[{3,6},{2,4,5},{1}]=>[{1},{2,4,5},{3,6}]=>[1,3,2]
[{4,5},{2,3,6},{1}]=>[{1},{2,3,6},{4,5}]=>[1,3,2]
[{4,6},{2,3,5},{1}]=>[{1},{2,3,5},{4,6}]=>[1,3,2]
[{5,6},{2,3,4},{1}]=>[{1},{2,3,4},{5,6}]=>[1,3,2]
[{1,2},{3,4,5,6}]=>[{3,4,5,6},{1,2}]=>[4,2]
[{1,3},{2,4,5,6}]=>[{2,4,5,6},{1,3}]=>[4,2]
[{1,4},{2,3,5,6}]=>[{2,3,5,6},{1,4}]=>[4,2]
[{1,5},{2,3,4,6}]=>[{2,3,4,6},{1,5}]=>[4,2]
[{1,6},{2,3,4,5}]=>[{2,3,4,5},{1,6}]=>[4,2]
[{2,3},{1,4,5,6}]=>[{1,4,5,6},{2,3}]=>[4,2]
[{2,4},{1,3,5,6}]=>[{1,3,5,6},{2,4}]=>[4,2]
[{2,5},{1,3,4,6}]=>[{1,3,4,6},{2,5}]=>[4,2]
[{2,6},{1,3,4,5}]=>[{1,3,4,5},{2,6}]=>[4,2]
[{3,4},{1,2,5,6}]=>[{1,2,5,6},{3,4}]=>[4,2]
[{3,5},{1,2,4,6}]=>[{1,2,4,6},{3,5}]=>[4,2]
[{3,6},{1,2,4,5}]=>[{1,2,4,5},{3,6}]=>[4,2]
[{4,5},{1,2,3,6}]=>[{1,2,3,6},{4,5}]=>[4,2]
[{4,6},{1,2,3,5}]=>[{1,2,3,5},{4,6}]=>[4,2]
[{5,6},{1,2,3,4}]=>[{1,2,3,4},{5,6}]=>[4,2]
[{1,2,3},{4},{5},{6}]=>[{6},{5},{4},{1,2,3}]=>[1,1,1,3]
[{1,2,3},{4},{6},{5}]=>[{5},{6},{4},{1,2,3}]=>[1,1,1,3]
[{1,2,3},{5},{4},{6}]=>[{6},{4},{5},{1,2,3}]=>[1,1,1,3]
[{1,2,3},{6},{4},{5}]=>[{5},{4},{6},{1,2,3}]=>[1,1,1,3]
[{1,2,3},{5},{6},{4}]=>[{4},{6},{5},{1,2,3}]=>[1,1,1,3]
[{1,2,3},{6},{5},{4}]=>[{4},{5},{6},{1,2,3}]=>[1,1,1,3]
[{1,2,4},{3},{5},{6}]=>[{6},{5},{3},{1,2,4}]=>[1,1,1,3]
[{1,2,4},{3},{6},{5}]=>[{5},{6},{3},{1,2,4}]=>[1,1,1,3]
[{1,2,5},{3},{4},{6}]=>[{6},{4},{3},{1,2,5}]=>[1,1,1,3]
[{1,2,6},{3},{4},{5}]=>[{5},{4},{3},{1,2,6}]=>[1,1,1,3]
[{1,2,5},{3},{6},{4}]=>[{4},{6},{3},{1,2,5}]=>[1,1,1,3]
[{1,2,6},{3},{5},{4}]=>[{4},{5},{3},{1,2,6}]=>[1,1,1,3]
[{1,2,4},{5},{3},{6}]=>[{6},{3},{5},{1,2,4}]=>[1,1,1,3]
[{1,2,4},{6},{3},{5}]=>[{5},{3},{6},{1,2,4}]=>[1,1,1,3]
[{1,2,5},{4},{3},{6}]=>[{6},{3},{4},{1,2,5}]=>[1,1,1,3]
[{1,2,6},{4},{3},{5}]=>[{5},{3},{4},{1,2,6}]=>[1,1,1,3]
[{1,2,5},{6},{3},{4}]=>[{4},{3},{6},{1,2,5}]=>[1,1,1,3]
[{1,2,6},{5},{3},{4}]=>[{4},{3},{5},{1,2,6}]=>[1,1,1,3]
[{1,2,4},{5},{6},{3}]=>[{3},{6},{5},{1,2,4}]=>[1,1,1,3]
[{1,2,4},{6},{5},{3}]=>[{3},{5},{6},{1,2,4}]=>[1,1,1,3]
[{1,2,5},{4},{6},{3}]=>[{3},{6},{4},{1,2,5}]=>[1,1,1,3]
[{1,2,6},{4},{5},{3}]=>[{3},{5},{4},{1,2,6}]=>[1,1,1,3]
[{1,2,5},{6},{4},{3}]=>[{3},{4},{6},{1,2,5}]=>[1,1,1,3]
[{1,2,6},{5},{4},{3}]=>[{3},{4},{5},{1,2,6}]=>[1,1,1,3]
[{1,3,4},{2},{5},{6}]=>[{6},{5},{2},{1,3,4}]=>[1,1,1,3]
[{1,3,4},{2},{6},{5}]=>[{5},{6},{2},{1,3,4}]=>[1,1,1,3]
[{1,3,5},{2},{4},{6}]=>[{6},{4},{2},{1,3,5}]=>[1,1,1,3]
[{1,3,6},{2},{4},{5}]=>[{5},{4},{2},{1,3,6}]=>[1,1,1,3]
[{1,3,5},{2},{6},{4}]=>[{4},{6},{2},{1,3,5}]=>[1,1,1,3]
[{1,3,6},{2},{5},{4}]=>[{4},{5},{2},{1,3,6}]=>[1,1,1,3]
[{1,4,5},{2},{3},{6}]=>[{6},{3},{2},{1,4,5}]=>[1,1,1,3]
[{1,4,6},{2},{3},{5}]=>[{5},{3},{2},{1,4,6}]=>[1,1,1,3]
[{1,5,6},{2},{3},{4}]=>[{4},{3},{2},{1,5,6}]=>[1,1,1,3]
[{1,4,5},{2},{6},{3}]=>[{3},{6},{2},{1,4,5}]=>[1,1,1,3]
[{1,4,6},{2},{5},{3}]=>[{3},{5},{2},{1,4,6}]=>[1,1,1,3]
[{1,5,6},{2},{4},{3}]=>[{3},{4},{2},{1,5,6}]=>[1,1,1,3]
[{1,3,4},{5},{2},{6}]=>[{6},{2},{5},{1,3,4}]=>[1,1,1,3]
[{1,3,4},{6},{2},{5}]=>[{5},{2},{6},{1,3,4}]=>[1,1,1,3]
[{1,3,5},{4},{2},{6}]=>[{6},{2},{4},{1,3,5}]=>[1,1,1,3]
[{1,3,6},{4},{2},{5}]=>[{5},{2},{4},{1,3,6}]=>[1,1,1,3]
[{1,3,5},{6},{2},{4}]=>[{4},{2},{6},{1,3,5}]=>[1,1,1,3]
[{1,3,6},{5},{2},{4}]=>[{4},{2},{5},{1,3,6}]=>[1,1,1,3]
[{1,4,5},{3},{2},{6}]=>[{6},{2},{3},{1,4,5}]=>[1,1,1,3]
[{1,4,6},{3},{2},{5}]=>[{5},{2},{3},{1,4,6}]=>[1,1,1,3]
[{1,5,6},{3},{2},{4}]=>[{4},{2},{3},{1,5,6}]=>[1,1,1,3]
[{1,4,5},{6},{2},{3}]=>[{3},{2},{6},{1,4,5}]=>[1,1,1,3]
[{1,4,6},{5},{2},{3}]=>[{3},{2},{5},{1,4,6}]=>[1,1,1,3]
[{1,5,6},{4},{2},{3}]=>[{3},{2},{4},{1,5,6}]=>[1,1,1,3]
[{1,3,4},{5},{6},{2}]=>[{2},{6},{5},{1,3,4}]=>[1,1,1,3]
[{1,3,4},{6},{5},{2}]=>[{2},{5},{6},{1,3,4}]=>[1,1,1,3]
[{1,3,5},{4},{6},{2}]=>[{2},{6},{4},{1,3,5}]=>[1,1,1,3]
[{1,3,6},{4},{5},{2}]=>[{2},{5},{4},{1,3,6}]=>[1,1,1,3]
[{1,3,5},{6},{4},{2}]=>[{2},{4},{6},{1,3,5}]=>[1,1,1,3]
[{1,3,6},{5},{4},{2}]=>[{2},{4},{5},{1,3,6}]=>[1,1,1,3]
[{1,4,5},{3},{6},{2}]=>[{2},{6},{3},{1,4,5}]=>[1,1,1,3]
[{1,4,6},{3},{5},{2}]=>[{2},{5},{3},{1,4,6}]=>[1,1,1,3]
[{1,5,6},{3},{4},{2}]=>[{2},{4},{3},{1,5,6}]=>[1,1,1,3]
[{1,4,5},{6},{3},{2}]=>[{2},{3},{6},{1,4,5}]=>[1,1,1,3]
[{1,4,6},{5},{3},{2}]=>[{2},{3},{5},{1,4,6}]=>[1,1,1,3]
[{1,5,6},{4},{3},{2}]=>[{2},{3},{4},{1,5,6}]=>[1,1,1,3]
[{2,3,4},{1},{5},{6}]=>[{6},{5},{1},{2,3,4}]=>[1,1,1,3]
[{2,3,4},{1},{6},{5}]=>[{5},{6},{1},{2,3,4}]=>[1,1,1,3]
[{2,3,5},{1},{4},{6}]=>[{6},{4},{1},{2,3,5}]=>[1,1,1,3]
[{2,3,6},{1},{4},{5}]=>[{5},{4},{1},{2,3,6}]=>[1,1,1,3]
[{2,3,5},{1},{6},{4}]=>[{4},{6},{1},{2,3,5}]=>[1,1,1,3]
[{2,3,6},{1},{5},{4}]=>[{4},{5},{1},{2,3,6}]=>[1,1,1,3]
[{2,4,5},{1},{3},{6}]=>[{6},{3},{1},{2,4,5}]=>[1,1,1,3]
[{2,4,6},{1},{3},{5}]=>[{5},{3},{1},{2,4,6}]=>[1,1,1,3]
[{2,5,6},{1},{3},{4}]=>[{4},{3},{1},{2,5,6}]=>[1,1,1,3]
[{2,4,5},{1},{6},{3}]=>[{3},{6},{1},{2,4,5}]=>[1,1,1,3]
[{2,4,6},{1},{5},{3}]=>[{3},{5},{1},{2,4,6}]=>[1,1,1,3]
[{2,5,6},{1},{4},{3}]=>[{3},{4},{1},{2,5,6}]=>[1,1,1,3]
[{3,4,5},{1},{2},{6}]=>[{6},{2},{1},{3,4,5}]=>[1,1,1,3]
[{3,4,6},{1},{2},{5}]=>[{5},{2},{1},{3,4,6}]=>[1,1,1,3]
[{3,5,6},{1},{2},{4}]=>[{4},{2},{1},{3,5,6}]=>[1,1,1,3]
[{4,5,6},{1},{2},{3}]=>[{3},{2},{1},{4,5,6}]=>[1,1,1,3]
[{3,4,5},{1},{6},{2}]=>[{2},{6},{1},{3,4,5}]=>[1,1,1,3]
[{3,4,6},{1},{5},{2}]=>[{2},{5},{1},{3,4,6}]=>[1,1,1,3]
[{3,5,6},{1},{4},{2}]=>[{2},{4},{1},{3,5,6}]=>[1,1,1,3]
[{4,5,6},{1},{3},{2}]=>[{2},{3},{1},{4,5,6}]=>[1,1,1,3]
[{2,3,4},{5},{1},{6}]=>[{6},{1},{5},{2,3,4}]=>[1,1,1,3]
[{2,3,4},{6},{1},{5}]=>[{5},{1},{6},{2,3,4}]=>[1,1,1,3]
[{2,3,5},{4},{1},{6}]=>[{6},{1},{4},{2,3,5}]=>[1,1,1,3]
[{2,3,6},{4},{1},{5}]=>[{5},{1},{4},{2,3,6}]=>[1,1,1,3]
[{2,3,5},{6},{1},{4}]=>[{4},{1},{6},{2,3,5}]=>[1,1,1,3]
[{2,3,6},{5},{1},{4}]=>[{4},{1},{5},{2,3,6}]=>[1,1,1,3]
[{2,4,5},{3},{1},{6}]=>[{6},{1},{3},{2,4,5}]=>[1,1,1,3]
[{2,4,6},{3},{1},{5}]=>[{5},{1},{3},{2,4,6}]=>[1,1,1,3]
[{2,5,6},{3},{1},{4}]=>[{4},{1},{3},{2,5,6}]=>[1,1,1,3]
[{2,4,5},{6},{1},{3}]=>[{3},{1},{6},{2,4,5}]=>[1,1,1,3]
[{2,4,6},{5},{1},{3}]=>[{3},{1},{5},{2,4,6}]=>[1,1,1,3]
[{2,5,6},{4},{1},{3}]=>[{3},{1},{4},{2,5,6}]=>[1,1,1,3]
[{3,4,5},{2},{1},{6}]=>[{6},{1},{2},{3,4,5}]=>[1,1,1,3]
[{3,4,6},{2},{1},{5}]=>[{5},{1},{2},{3,4,6}]=>[1,1,1,3]
[{3,5,6},{2},{1},{4}]=>[{4},{1},{2},{3,5,6}]=>[1,1,1,3]
[{4,5,6},{2},{1},{3}]=>[{3},{1},{2},{4,5,6}]=>[1,1,1,3]
[{3,4,5},{6},{1},{2}]=>[{2},{1},{6},{3,4,5}]=>[1,1,1,3]
[{3,4,6},{5},{1},{2}]=>[{2},{1},{5},{3,4,6}]=>[1,1,1,3]
[{3,5,6},{4},{1},{2}]=>[{2},{1},{4},{3,5,6}]=>[1,1,1,3]
[{4,5,6},{3},{1},{2}]=>[{2},{1},{3},{4,5,6}]=>[1,1,1,3]
[{2,3,4},{5},{6},{1}]=>[{1},{6},{5},{2,3,4}]=>[1,1,1,3]
[{2,3,4},{6},{5},{1}]=>[{1},{5},{6},{2,3,4}]=>[1,1,1,3]
[{2,3,5},{4},{6},{1}]=>[{1},{6},{4},{2,3,5}]=>[1,1,1,3]
[{2,3,6},{4},{5},{1}]=>[{1},{5},{4},{2,3,6}]=>[1,1,1,3]
[{2,3,5},{6},{4},{1}]=>[{1},{4},{6},{2,3,5}]=>[1,1,1,3]
[{2,3,6},{5},{4},{1}]=>[{1},{4},{5},{2,3,6}]=>[1,1,1,3]
[{2,4,5},{3},{6},{1}]=>[{1},{6},{3},{2,4,5}]=>[1,1,1,3]
[{2,4,6},{3},{5},{1}]=>[{1},{5},{3},{2,4,6}]=>[1,1,1,3]
[{2,5,6},{3},{4},{1}]=>[{1},{4},{3},{2,5,6}]=>[1,1,1,3]
[{2,4,5},{6},{3},{1}]=>[{1},{3},{6},{2,4,5}]=>[1,1,1,3]
[{2,4,6},{5},{3},{1}]=>[{1},{3},{5},{2,4,6}]=>[1,1,1,3]
[{2,5,6},{4},{3},{1}]=>[{1},{3},{4},{2,5,6}]=>[1,1,1,3]
[{3,4,5},{2},{6},{1}]=>[{1},{6},{2},{3,4,5}]=>[1,1,1,3]
[{3,4,6},{2},{5},{1}]=>[{1},{5},{2},{3,4,6}]=>[1,1,1,3]
[{3,5,6},{2},{4},{1}]=>[{1},{4},{2},{3,5,6}]=>[1,1,1,3]
[{4,5,6},{2},{3},{1}]=>[{1},{3},{2},{4,5,6}]=>[1,1,1,3]
[{3,4,5},{6},{2},{1}]=>[{1},{2},{6},{3,4,5}]=>[1,1,1,3]
[{3,4,6},{5},{2},{1}]=>[{1},{2},{5},{3,4,6}]=>[1,1,1,3]
[{3,5,6},{4},{2},{1}]=>[{1},{2},{4},{3,5,6}]=>[1,1,1,3]
[{4,5,6},{3},{2},{1}]=>[{1},{2},{3},{4,5,6}]=>[1,1,1,3]
[{1,2,3},{4},{5,6}]=>[{5,6},{4},{1,2,3}]=>[2,1,3]
[{1,2,3},{5},{4,6}]=>[{4,6},{5},{1,2,3}]=>[2,1,3]
[{1,2,3},{6},{4,5}]=>[{4,5},{6},{1,2,3}]=>[2,1,3]
[{1,2,4},{3},{5,6}]=>[{5,6},{3},{1,2,4}]=>[2,1,3]
[{1,2,5},{3},{4,6}]=>[{4,6},{3},{1,2,5}]=>[2,1,3]
[{1,2,6},{3},{4,5}]=>[{4,5},{3},{1,2,6}]=>[2,1,3]
[{1,2,4},{5},{3,6}]=>[{3,6},{5},{1,2,4}]=>[2,1,3]
[{1,2,4},{6},{3,5}]=>[{3,5},{6},{1,2,4}]=>[2,1,3]
[{1,2,5},{4},{3,6}]=>[{3,6},{4},{1,2,5}]=>[2,1,3]
[{1,2,6},{4},{3,5}]=>[{3,5},{4},{1,2,6}]=>[2,1,3]
[{1,2,5},{6},{3,4}]=>[{3,4},{6},{1,2,5}]=>[2,1,3]
[{1,2,6},{5},{3,4}]=>[{3,4},{5},{1,2,6}]=>[2,1,3]
[{1,3,4},{2},{5,6}]=>[{5,6},{2},{1,3,4}]=>[2,1,3]
[{1,3,5},{2},{4,6}]=>[{4,6},{2},{1,3,5}]=>[2,1,3]
[{1,3,6},{2},{4,5}]=>[{4,5},{2},{1,3,6}]=>[2,1,3]
[{1,4,5},{2},{3,6}]=>[{3,6},{2},{1,4,5}]=>[2,1,3]
[{1,4,6},{2},{3,5}]=>[{3,5},{2},{1,4,6}]=>[2,1,3]
[{1,5,6},{2},{3,4}]=>[{3,4},{2},{1,5,6}]=>[2,1,3]
[{1,3,4},{5},{2,6}]=>[{2,6},{5},{1,3,4}]=>[2,1,3]
[{1,3,4},{6},{2,5}]=>[{2,5},{6},{1,3,4}]=>[2,1,3]
[{1,3,5},{4},{2,6}]=>[{2,6},{4},{1,3,5}]=>[2,1,3]
[{1,3,6},{4},{2,5}]=>[{2,5},{4},{1,3,6}]=>[2,1,3]
[{1,3,5},{6},{2,4}]=>[{2,4},{6},{1,3,5}]=>[2,1,3]
[{1,3,6},{5},{2,4}]=>[{2,4},{5},{1,3,6}]=>[2,1,3]
[{1,4,5},{3},{2,6}]=>[{2,6},{3},{1,4,5}]=>[2,1,3]
[{1,4,6},{3},{2,5}]=>[{2,5},{3},{1,4,6}]=>[2,1,3]
[{1,5,6},{3},{2,4}]=>[{2,4},{3},{1,5,6}]=>[2,1,3]
[{1,4,5},{6},{2,3}]=>[{2,3},{6},{1,4,5}]=>[2,1,3]
[{1,4,6},{5},{2,3}]=>[{2,3},{5},{1,4,6}]=>[2,1,3]
[{1,5,6},{4},{2,3}]=>[{2,3},{4},{1,5,6}]=>[2,1,3]
[{2,3,4},{1},{5,6}]=>[{5,6},{1},{2,3,4}]=>[2,1,3]
[{2,3,5},{1},{4,6}]=>[{4,6},{1},{2,3,5}]=>[2,1,3]
[{2,3,6},{1},{4,5}]=>[{4,5},{1},{2,3,6}]=>[2,1,3]
[{2,4,5},{1},{3,6}]=>[{3,6},{1},{2,4,5}]=>[2,1,3]
[{2,4,6},{1},{3,5}]=>[{3,5},{1},{2,4,6}]=>[2,1,3]
[{2,5,6},{1},{3,4}]=>[{3,4},{1},{2,5,6}]=>[2,1,3]
[{3,4,5},{1},{2,6}]=>[{2,6},{1},{3,4,5}]=>[2,1,3]
[{3,4,6},{1},{2,5}]=>[{2,5},{1},{3,4,6}]=>[2,1,3]
[{3,5,6},{1},{2,4}]=>[{2,4},{1},{3,5,6}]=>[2,1,3]
[{4,5,6},{1},{2,3}]=>[{2,3},{1},{4,5,6}]=>[2,1,3]
[{2,3,4},{5},{1,6}]=>[{1,6},{5},{2,3,4}]=>[2,1,3]
[{2,3,4},{6},{1,5}]=>[{1,5},{6},{2,3,4}]=>[2,1,3]
[{2,3,5},{4},{1,6}]=>[{1,6},{4},{2,3,5}]=>[2,1,3]
[{2,3,6},{4},{1,5}]=>[{1,5},{4},{2,3,6}]=>[2,1,3]
[{2,3,5},{6},{1,4}]=>[{1,4},{6},{2,3,5}]=>[2,1,3]
[{2,3,6},{5},{1,4}]=>[{1,4},{5},{2,3,6}]=>[2,1,3]
[{2,4,5},{3},{1,6}]=>[{1,6},{3},{2,4,5}]=>[2,1,3]
[{2,4,6},{3},{1,5}]=>[{1,5},{3},{2,4,6}]=>[2,1,3]
[{2,5,6},{3},{1,4}]=>[{1,4},{3},{2,5,6}]=>[2,1,3]
[{2,4,5},{6},{1,3}]=>[{1,3},{6},{2,4,5}]=>[2,1,3]
[{2,4,6},{5},{1,3}]=>[{1,3},{5},{2,4,6}]=>[2,1,3]
[{2,5,6},{4},{1,3}]=>[{1,3},{4},{2,5,6}]=>[2,1,3]
[{3,4,5},{2},{1,6}]=>[{1,6},{2},{3,4,5}]=>[2,1,3]
[{3,4,6},{2},{1,5}]=>[{1,5},{2},{3,4,6}]=>[2,1,3]
[{3,5,6},{2},{1,4}]=>[{1,4},{2},{3,5,6}]=>[2,1,3]
[{4,5,6},{2},{1,3}]=>[{1,3},{2},{4,5,6}]=>[2,1,3]
[{3,4,5},{6},{1,2}]=>[{1,2},{6},{3,4,5}]=>[2,1,3]
[{3,4,6},{5},{1,2}]=>[{1,2},{5},{3,4,6}]=>[2,1,3]
[{3,5,6},{4},{1,2}]=>[{1,2},{4},{3,5,6}]=>[2,1,3]
[{4,5,6},{3},{1,2}]=>[{1,2},{3},{4,5,6}]=>[2,1,3]
[{1,2,3},{4,5},{6}]=>[{6},{4,5},{1,2,3}]=>[1,2,3]
[{1,2,3},{4,6},{5}]=>[{5},{4,6},{1,2,3}]=>[1,2,3]
[{1,2,3},{5,6},{4}]=>[{4},{5,6},{1,2,3}]=>[1,2,3]
[{1,2,4},{3,5},{6}]=>[{6},{3,5},{1,2,4}]=>[1,2,3]
[{1,2,4},{3,6},{5}]=>[{5},{3,6},{1,2,4}]=>[1,2,3]
[{1,2,5},{3,4},{6}]=>[{6},{3,4},{1,2,5}]=>[1,2,3]
[{1,2,6},{3,4},{5}]=>[{5},{3,4},{1,2,6}]=>[1,2,3]
[{1,2,5},{3,6},{4}]=>[{4},{3,6},{1,2,5}]=>[1,2,3]
[{1,2,6},{3,5},{4}]=>[{4},{3,5},{1,2,6}]=>[1,2,3]
[{1,2,4},{5,6},{3}]=>[{3},{5,6},{1,2,4}]=>[1,2,3]
[{1,2,5},{4,6},{3}]=>[{3},{4,6},{1,2,5}]=>[1,2,3]
[{1,2,6},{4,5},{3}]=>[{3},{4,5},{1,2,6}]=>[1,2,3]
[{1,3,4},{2,5},{6}]=>[{6},{2,5},{1,3,4}]=>[1,2,3]
[{1,3,4},{2,6},{5}]=>[{5},{2,6},{1,3,4}]=>[1,2,3]
[{1,3,5},{2,4},{6}]=>[{6},{2,4},{1,3,5}]=>[1,2,3]
[{1,3,6},{2,4},{5}]=>[{5},{2,4},{1,3,6}]=>[1,2,3]
[{1,3,5},{2,6},{4}]=>[{4},{2,6},{1,3,5}]=>[1,2,3]
[{1,3,6},{2,5},{4}]=>[{4},{2,5},{1,3,6}]=>[1,2,3]
[{1,4,5},{2,3},{6}]=>[{6},{2,3},{1,4,5}]=>[1,2,3]
[{1,4,6},{2,3},{5}]=>[{5},{2,3},{1,4,6}]=>[1,2,3]
[{1,5,6},{2,3},{4}]=>[{4},{2,3},{1,5,6}]=>[1,2,3]
[{1,4,5},{2,6},{3}]=>[{3},{2,6},{1,4,5}]=>[1,2,3]
[{1,4,6},{2,5},{3}]=>[{3},{2,5},{1,4,6}]=>[1,2,3]
[{1,5,6},{2,4},{3}]=>[{3},{2,4},{1,5,6}]=>[1,2,3]
[{1,3,4},{5,6},{2}]=>[{2},{5,6},{1,3,4}]=>[1,2,3]
[{1,3,5},{4,6},{2}]=>[{2},{4,6},{1,3,5}]=>[1,2,3]
[{1,3,6},{4,5},{2}]=>[{2},{4,5},{1,3,6}]=>[1,2,3]
[{1,4,5},{3,6},{2}]=>[{2},{3,6},{1,4,5}]=>[1,2,3]
[{1,4,6},{3,5},{2}]=>[{2},{3,5},{1,4,6}]=>[1,2,3]
[{1,5,6},{3,4},{2}]=>[{2},{3,4},{1,5,6}]=>[1,2,3]
[{2,3,4},{1,5},{6}]=>[{6},{1,5},{2,3,4}]=>[1,2,3]
[{2,3,4},{1,6},{5}]=>[{5},{1,6},{2,3,4}]=>[1,2,3]
[{2,3,5},{1,4},{6}]=>[{6},{1,4},{2,3,5}]=>[1,2,3]
[{2,3,6},{1,4},{5}]=>[{5},{1,4},{2,3,6}]=>[1,2,3]
[{2,3,5},{1,6},{4}]=>[{4},{1,6},{2,3,5}]=>[1,2,3]
[{2,3,6},{1,5},{4}]=>[{4},{1,5},{2,3,6}]=>[1,2,3]
[{2,4,5},{1,3},{6}]=>[{6},{1,3},{2,4,5}]=>[1,2,3]
[{2,4,6},{1,3},{5}]=>[{5},{1,3},{2,4,6}]=>[1,2,3]
[{2,5,6},{1,3},{4}]=>[{4},{1,3},{2,5,6}]=>[1,2,3]
[{2,4,5},{1,6},{3}]=>[{3},{1,6},{2,4,5}]=>[1,2,3]
[{2,4,6},{1,5},{3}]=>[{3},{1,5},{2,4,6}]=>[1,2,3]
[{2,5,6},{1,4},{3}]=>[{3},{1,4},{2,5,6}]=>[1,2,3]
[{3,4,5},{1,2},{6}]=>[{6},{1,2},{3,4,5}]=>[1,2,3]
[{3,4,6},{1,2},{5}]=>[{5},{1,2},{3,4,6}]=>[1,2,3]
[{3,5,6},{1,2},{4}]=>[{4},{1,2},{3,5,6}]=>[1,2,3]
[{4,5,6},{1,2},{3}]=>[{3},{1,2},{4,5,6}]=>[1,2,3]
[{3,4,5},{1,6},{2}]=>[{2},{1,6},{3,4,5}]=>[1,2,3]
[{3,4,6},{1,5},{2}]=>[{2},{1,5},{3,4,6}]=>[1,2,3]
[{3,5,6},{1,4},{2}]=>[{2},{1,4},{3,5,6}]=>[1,2,3]
[{4,5,6},{1,3},{2}]=>[{2},{1,3},{4,5,6}]=>[1,2,3]
[{2,3,4},{5,6},{1}]=>[{1},{5,6},{2,3,4}]=>[1,2,3]
[{2,3,5},{4,6},{1}]=>[{1},{4,6},{2,3,5}]=>[1,2,3]
[{2,3,6},{4,5},{1}]=>[{1},{4,5},{2,3,6}]=>[1,2,3]
[{2,4,5},{3,6},{1}]=>[{1},{3,6},{2,4,5}]=>[1,2,3]
[{2,4,6},{3,5},{1}]=>[{1},{3,5},{2,4,6}]=>[1,2,3]
[{2,5,6},{3,4},{1}]=>[{1},{3,4},{2,5,6}]=>[1,2,3]
[{3,4,5},{2,6},{1}]=>[{1},{2,6},{3,4,5}]=>[1,2,3]
[{3,4,6},{2,5},{1}]=>[{1},{2,5},{3,4,6}]=>[1,2,3]
[{3,5,6},{2,4},{1}]=>[{1},{2,4},{3,5,6}]=>[1,2,3]
[{4,5,6},{2,3},{1}]=>[{1},{2,3},{4,5,6}]=>[1,2,3]
[{1,2,3},{4,5,6}]=>[{4,5,6},{1,2,3}]=>[3,3]
[{1,2,4},{3,5,6}]=>[{3,5,6},{1,2,4}]=>[3,3]
[{1,2,5},{3,4,6}]=>[{3,4,6},{1,2,5}]=>[3,3]
[{1,2,6},{3,4,5}]=>[{3,4,5},{1,2,6}]=>[3,3]
[{1,3,4},{2,5,6}]=>[{2,5,6},{1,3,4}]=>[3,3]
[{1,3,5},{2,4,6}]=>[{2,4,6},{1,3,5}]=>[3,3]
[{1,3,6},{2,4,5}]=>[{2,4,5},{1,3,6}]=>[3,3]
[{1,4,5},{2,3,6}]=>[{2,3,6},{1,4,5}]=>[3,3]
[{1,4,6},{2,3,5}]=>[{2,3,5},{1,4,6}]=>[3,3]
[{1,5,6},{2,3,4}]=>[{2,3,4},{1,5,6}]=>[3,3]
[{2,3,4},{1,5,6}]=>[{1,5,6},{2,3,4}]=>[3,3]
[{2,3,5},{1,4,6}]=>[{1,4,6},{2,3,5}]=>[3,3]
[{2,3,6},{1,4,5}]=>[{1,4,5},{2,3,6}]=>[3,3]
[{2,4,5},{1,3,6}]=>[{1,3,6},{2,4,5}]=>[3,3]
[{2,4,6},{1,3,5}]=>[{1,3,5},{2,4,6}]=>[3,3]
[{2,5,6},{1,3,4}]=>[{1,3,4},{2,5,6}]=>[3,3]
[{3,4,5},{1,2,6}]=>[{1,2,6},{3,4,5}]=>[3,3]
[{3,4,6},{1,2,5}]=>[{1,2,5},{3,4,6}]=>[3,3]
[{3,5,6},{1,2,4}]=>[{1,2,4},{3,5,6}]=>[3,3]
[{4,5,6},{1,2,3}]=>[{1,2,3},{4,5,6}]=>[3,3]
[{1,2,3,4},{5},{6}]=>[{6},{5},{1,2,3,4}]=>[1,1,4]
[{1,2,3,4},{6},{5}]=>[{5},{6},{1,2,3,4}]=>[1,1,4]
[{1,2,3,5},{4},{6}]=>[{6},{4},{1,2,3,5}]=>[1,1,4]
[{1,2,3,6},{4},{5}]=>[{5},{4},{1,2,3,6}]=>[1,1,4]
[{1,2,3,5},{6},{4}]=>[{4},{6},{1,2,3,5}]=>[1,1,4]
[{1,2,3,6},{5},{4}]=>[{4},{5},{1,2,3,6}]=>[1,1,4]
[{1,2,4,5},{3},{6}]=>[{6},{3},{1,2,4,5}]=>[1,1,4]
[{1,2,4,6},{3},{5}]=>[{5},{3},{1,2,4,6}]=>[1,1,4]
[{1,2,5,6},{3},{4}]=>[{4},{3},{1,2,5,6}]=>[1,1,4]
[{1,2,4,5},{6},{3}]=>[{3},{6},{1,2,4,5}]=>[1,1,4]
[{1,2,4,6},{5},{3}]=>[{3},{5},{1,2,4,6}]=>[1,1,4]
[{1,2,5,6},{4},{3}]=>[{3},{4},{1,2,5,6}]=>[1,1,4]
[{1,3,4,5},{2},{6}]=>[{6},{2},{1,3,4,5}]=>[1,1,4]
[{1,3,4,6},{2},{5}]=>[{5},{2},{1,3,4,6}]=>[1,1,4]
[{1,3,5,6},{2},{4}]=>[{4},{2},{1,3,5,6}]=>[1,1,4]
[{1,4,5,6},{2},{3}]=>[{3},{2},{1,4,5,6}]=>[1,1,4]
[{1,3,4,5},{6},{2}]=>[{2},{6},{1,3,4,5}]=>[1,1,4]
[{1,3,4,6},{5},{2}]=>[{2},{5},{1,3,4,6}]=>[1,1,4]
[{1,3,5,6},{4},{2}]=>[{2},{4},{1,3,5,6}]=>[1,1,4]
[{1,4,5,6},{3},{2}]=>[{2},{3},{1,4,5,6}]=>[1,1,4]
[{2,3,4,5},{1},{6}]=>[{6},{1},{2,3,4,5}]=>[1,1,4]
[{2,3,4,6},{1},{5}]=>[{5},{1},{2,3,4,6}]=>[1,1,4]
[{2,3,5,6},{1},{4}]=>[{4},{1},{2,3,5,6}]=>[1,1,4]
[{2,4,5,6},{1},{3}]=>[{3},{1},{2,4,5,6}]=>[1,1,4]
[{3,4,5,6},{1},{2}]=>[{2},{1},{3,4,5,6}]=>[1,1,4]
[{2,3,4,5},{6},{1}]=>[{1},{6},{2,3,4,5}]=>[1,1,4]
[{2,3,4,6},{5},{1}]=>[{1},{5},{2,3,4,6}]=>[1,1,4]
[{2,3,5,6},{4},{1}]=>[{1},{4},{2,3,5,6}]=>[1,1,4]
[{2,4,5,6},{3},{1}]=>[{1},{3},{2,4,5,6}]=>[1,1,4]
[{3,4,5,6},{2},{1}]=>[{1},{2},{3,4,5,6}]=>[1,1,4]
[{1,2,3,4},{5,6}]=>[{5,6},{1,2,3,4}]=>[2,4]
[{1,2,3,5},{4,6}]=>[{4,6},{1,2,3,5}]=>[2,4]
[{1,2,3,6},{4,5}]=>[{4,5},{1,2,3,6}]=>[2,4]
[{1,2,4,5},{3,6}]=>[{3,6},{1,2,4,5}]=>[2,4]
[{1,2,4,6},{3,5}]=>[{3,5},{1,2,4,6}]=>[2,4]
[{1,2,5,6},{3,4}]=>[{3,4},{1,2,5,6}]=>[2,4]
[{1,3,4,5},{2,6}]=>[{2,6},{1,3,4,5}]=>[2,4]
[{1,3,4,6},{2,5}]=>[{2,5},{1,3,4,6}]=>[2,4]
[{1,3,5,6},{2,4}]=>[{2,4},{1,3,5,6}]=>[2,4]
[{1,4,5,6},{2,3}]=>[{2,3},{1,4,5,6}]=>[2,4]
[{2,3,4,5},{1,6}]=>[{1,6},{2,3,4,5}]=>[2,4]
[{2,3,4,6},{1,5}]=>[{1,5},{2,3,4,6}]=>[2,4]
[{2,3,5,6},{1,4}]=>[{1,4},{2,3,5,6}]=>[2,4]
[{2,4,5,6},{1,3}]=>[{1,3},{2,4,5,6}]=>[2,4]
[{3,4,5,6},{1,2}]=>[{1,2},{3,4,5,6}]=>[2,4]
[{1,2,3,4,5},{6}]=>[{6},{1,2,3,4,5}]=>[1,5]
[{1,2,3,4,6},{5}]=>[{5},{1,2,3,4,6}]=>[1,5]
[{1,2,3,5,6},{4}]=>[{4},{1,2,3,5,6}]=>[1,5]
[{1,2,4,5,6},{3}]=>[{3},{1,2,4,5,6}]=>[1,5]
[{1,3,4,5,6},{2}]=>[{2},{1,3,4,5,6}]=>[1,5]
[{2,3,4,5,6},{1}]=>[{1},{2,3,4,5,6}]=>[1,5]
[{1,2,3,4,5,6}]=>[{1,2,3,4,5,6}]=>[6]
Map
reverse
Description
Reverse the order of the blocks of the ordered set partition.
Map
to composition
Description
Return the sizes of the blocks as a composition.
searching the database
Sorry, this map was not found in the database.