Identifier
Mp00286:
Ordered set partitions
—to permutation⟶
Permutations
Mp00090: Permutations —cycle-as-one-line notation⟶ Permutations
Mp00237: Permutations —descent views to invisible inversion bottoms⟶ Permutations
Mp00090: Permutations —cycle-as-one-line notation⟶ Permutations
Mp00237: Permutations —descent views to invisible inversion bottoms⟶ Permutations
Images
=>
[{1}]=>[1]=>[1]=>[1]
[{1},{2}]=>[1,2]=>[1,2]=>[1,2]
[{2},{1}]=>[2,1]=>[1,2]=>[1,2]
[{1,2}]=>[1,2]=>[1,2]=>[1,2]
[{1},{2},{3}]=>[1,2,3]=>[1,2,3]=>[1,2,3]
[{1},{3},{2}]=>[1,3,2]=>[1,2,3]=>[1,2,3]
[{2},{1},{3}]=>[2,1,3]=>[1,2,3]=>[1,2,3]
[{3},{1},{2}]=>[3,1,2]=>[1,3,2]=>[1,3,2]
[{2},{3},{1}]=>[2,3,1]=>[1,2,3]=>[1,2,3]
[{3},{2},{1}]=>[3,2,1]=>[1,3,2]=>[1,3,2]
[{1},{2,3}]=>[1,2,3]=>[1,2,3]=>[1,2,3]
[{2},{1,3}]=>[2,1,3]=>[1,2,3]=>[1,2,3]
[{3},{1,2}]=>[3,1,2]=>[1,3,2]=>[1,3,2]
[{1,2},{3}]=>[1,2,3]=>[1,2,3]=>[1,2,3]
[{1,3},{2}]=>[1,3,2]=>[1,2,3]=>[1,2,3]
[{2,3},{1}]=>[2,3,1]=>[1,2,3]=>[1,2,3]
[{1,2,3}]=>[1,2,3]=>[1,2,3]=>[1,2,3]
[{1},{2},{3},{4}]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]
[{1},{2},{4},{3}]=>[1,2,4,3]=>[1,2,3,4]=>[1,2,3,4]
[{1},{3},{2},{4}]=>[1,3,2,4]=>[1,2,3,4]=>[1,2,3,4]
[{1},{4},{2},{3}]=>[1,4,2,3]=>[1,2,4,3]=>[1,2,4,3]
[{1},{3},{4},{2}]=>[1,3,4,2]=>[1,2,3,4]=>[1,2,3,4]
[{1},{4},{3},{2}]=>[1,4,3,2]=>[1,2,4,3]=>[1,2,4,3]
[{2},{1},{3},{4}]=>[2,1,3,4]=>[1,2,3,4]=>[1,2,3,4]
[{2},{1},{4},{3}]=>[2,1,4,3]=>[1,2,3,4]=>[1,2,3,4]
[{3},{1},{2},{4}]=>[3,1,2,4]=>[1,3,2,4]=>[1,3,2,4]
[{4},{1},{2},{3}]=>[4,1,2,3]=>[1,4,3,2]=>[1,3,4,2]
[{3},{1},{4},{2}]=>[3,1,4,2]=>[1,3,4,2]=>[1,4,3,2]
[{4},{1},{3},{2}]=>[4,1,3,2]=>[1,4,2,3]=>[1,4,2,3]
[{2},{3},{1},{4}]=>[2,3,1,4]=>[1,2,3,4]=>[1,2,3,4]
[{2},{4},{1},{3}]=>[2,4,1,3]=>[1,2,4,3]=>[1,2,4,3]
[{3},{2},{1},{4}]=>[3,2,1,4]=>[1,3,2,4]=>[1,3,2,4]
[{4},{2},{1},{3}]=>[4,2,1,3]=>[1,4,3,2]=>[1,3,4,2]
[{3},{4},{1},{2}]=>[3,4,1,2]=>[1,3,2,4]=>[1,3,2,4]
[{4},{3},{1},{2}]=>[4,3,1,2]=>[1,4,2,3]=>[1,4,2,3]
[{2},{3},{4},{1}]=>[2,3,4,1]=>[1,2,3,4]=>[1,2,3,4]
[{2},{4},{3},{1}]=>[2,4,3,1]=>[1,2,4,3]=>[1,2,4,3]
[{3},{2},{4},{1}]=>[3,2,4,1]=>[1,3,4,2]=>[1,4,3,2]
[{4},{2},{3},{1}]=>[4,2,3,1]=>[1,4,2,3]=>[1,4,2,3]
[{3},{4},{2},{1}]=>[3,4,2,1]=>[1,3,2,4]=>[1,3,2,4]
[{4},{3},{2},{1}]=>[4,3,2,1]=>[1,4,2,3]=>[1,4,2,3]
[{1},{2},{3,4}]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]
[{1},{3},{2,4}]=>[1,3,2,4]=>[1,2,3,4]=>[1,2,3,4]
[{1},{4},{2,3}]=>[1,4,2,3]=>[1,2,4,3]=>[1,2,4,3]
[{2},{1},{3,4}]=>[2,1,3,4]=>[1,2,3,4]=>[1,2,3,4]
[{3},{1},{2,4}]=>[3,1,2,4]=>[1,3,2,4]=>[1,3,2,4]
[{4},{1},{2,3}]=>[4,1,2,3]=>[1,4,3,2]=>[1,3,4,2]
[{2},{3},{1,4}]=>[2,3,1,4]=>[1,2,3,4]=>[1,2,3,4]
[{2},{4},{1,3}]=>[2,4,1,3]=>[1,2,4,3]=>[1,2,4,3]
[{3},{2},{1,4}]=>[3,2,1,4]=>[1,3,2,4]=>[1,3,2,4]
[{4},{2},{1,3}]=>[4,2,1,3]=>[1,4,3,2]=>[1,3,4,2]
[{3},{4},{1,2}]=>[3,4,1,2]=>[1,3,2,4]=>[1,3,2,4]
[{4},{3},{1,2}]=>[4,3,1,2]=>[1,4,2,3]=>[1,4,2,3]
[{1},{2,3},{4}]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]
[{1},{2,4},{3}]=>[1,2,4,3]=>[1,2,3,4]=>[1,2,3,4]
[{1},{3,4},{2}]=>[1,3,4,2]=>[1,2,3,4]=>[1,2,3,4]
[{2},{1,3},{4}]=>[2,1,3,4]=>[1,2,3,4]=>[1,2,3,4]
[{2},{1,4},{3}]=>[2,1,4,3]=>[1,2,3,4]=>[1,2,3,4]
[{3},{1,2},{4}]=>[3,1,2,4]=>[1,3,2,4]=>[1,3,2,4]
[{4},{1,2},{3}]=>[4,1,2,3]=>[1,4,3,2]=>[1,3,4,2]
[{3},{1,4},{2}]=>[3,1,4,2]=>[1,3,4,2]=>[1,4,3,2]
[{4},{1,3},{2}]=>[4,1,3,2]=>[1,4,2,3]=>[1,4,2,3]
[{2},{3,4},{1}]=>[2,3,4,1]=>[1,2,3,4]=>[1,2,3,4]
[{3},{2,4},{1}]=>[3,2,4,1]=>[1,3,4,2]=>[1,4,3,2]
[{4},{2,3},{1}]=>[4,2,3,1]=>[1,4,2,3]=>[1,4,2,3]
[{1},{2,3,4}]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]
[{2},{1,3,4}]=>[2,1,3,4]=>[1,2,3,4]=>[1,2,3,4]
[{3},{1,2,4}]=>[3,1,2,4]=>[1,3,2,4]=>[1,3,2,4]
[{4},{1,2,3}]=>[4,1,2,3]=>[1,4,3,2]=>[1,3,4,2]
[{1,2},{3},{4}]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]
[{1,2},{4},{3}]=>[1,2,4,3]=>[1,2,3,4]=>[1,2,3,4]
[{1,3},{2},{4}]=>[1,3,2,4]=>[1,2,3,4]=>[1,2,3,4]
[{1,4},{2},{3}]=>[1,4,2,3]=>[1,2,4,3]=>[1,2,4,3]
[{1,3},{4},{2}]=>[1,3,4,2]=>[1,2,3,4]=>[1,2,3,4]
[{1,4},{3},{2}]=>[1,4,3,2]=>[1,2,4,3]=>[1,2,4,3]
[{2,3},{1},{4}]=>[2,3,1,4]=>[1,2,3,4]=>[1,2,3,4]
[{2,4},{1},{3}]=>[2,4,1,3]=>[1,2,4,3]=>[1,2,4,3]
[{3,4},{1},{2}]=>[3,4,1,2]=>[1,3,2,4]=>[1,3,2,4]
[{2,3},{4},{1}]=>[2,3,4,1]=>[1,2,3,4]=>[1,2,3,4]
[{2,4},{3},{1}]=>[2,4,3,1]=>[1,2,4,3]=>[1,2,4,3]
[{3,4},{2},{1}]=>[3,4,2,1]=>[1,3,2,4]=>[1,3,2,4]
[{1,2},{3,4}]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]
[{1,3},{2,4}]=>[1,3,2,4]=>[1,2,3,4]=>[1,2,3,4]
[{1,4},{2,3}]=>[1,4,2,3]=>[1,2,4,3]=>[1,2,4,3]
[{2,3},{1,4}]=>[2,3,1,4]=>[1,2,3,4]=>[1,2,3,4]
[{2,4},{1,3}]=>[2,4,1,3]=>[1,2,4,3]=>[1,2,4,3]
[{3,4},{1,2}]=>[3,4,1,2]=>[1,3,2,4]=>[1,3,2,4]
[{1,2,3},{4}]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]
[{1,2,4},{3}]=>[1,2,4,3]=>[1,2,3,4]=>[1,2,3,4]
[{1,3,4},{2}]=>[1,3,4,2]=>[1,2,3,4]=>[1,2,3,4]
[{2,3,4},{1}]=>[2,3,4,1]=>[1,2,3,4]=>[1,2,3,4]
[{1,2,3,4}]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]
[{1},{2},{3},{4},{5}]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{1},{2},{3},{5},{4}]=>[1,2,3,5,4]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{1},{2},{4},{3},{5}]=>[1,2,4,3,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{1},{2},{5},{3},{4}]=>[1,2,5,3,4]=>[1,2,3,5,4]=>[1,2,3,5,4]
[{1},{2},{4},{5},{3}]=>[1,2,4,5,3]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{1},{2},{5},{4},{3}]=>[1,2,5,4,3]=>[1,2,3,5,4]=>[1,2,3,5,4]
[{1},{3},{2},{4},{5}]=>[1,3,2,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{1},{3},{2},{5},{4}]=>[1,3,2,5,4]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{1},{4},{2},{3},{5}]=>[1,4,2,3,5]=>[1,2,4,3,5]=>[1,2,4,3,5]
[{1},{5},{2},{3},{4}]=>[1,5,2,3,4]=>[1,2,5,4,3]=>[1,2,4,5,3]
[{1},{4},{2},{5},{3}]=>[1,4,2,5,3]=>[1,2,4,5,3]=>[1,2,5,4,3]
[{1},{5},{2},{4},{3}]=>[1,5,2,4,3]=>[1,2,5,3,4]=>[1,2,5,3,4]
[{1},{3},{4},{2},{5}]=>[1,3,4,2,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{1},{3},{5},{2},{4}]=>[1,3,5,2,4]=>[1,2,3,5,4]=>[1,2,3,5,4]
[{1},{4},{3},{2},{5}]=>[1,4,3,2,5]=>[1,2,4,3,5]=>[1,2,4,3,5]
[{1},{5},{3},{2},{4}]=>[1,5,3,2,4]=>[1,2,5,4,3]=>[1,2,4,5,3]
[{1},{4},{5},{2},{3}]=>[1,4,5,2,3]=>[1,2,4,3,5]=>[1,2,4,3,5]
[{1},{5},{4},{2},{3}]=>[1,5,4,2,3]=>[1,2,5,3,4]=>[1,2,5,3,4]
[{1},{3},{4},{5},{2}]=>[1,3,4,5,2]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{1},{3},{5},{4},{2}]=>[1,3,5,4,2]=>[1,2,3,5,4]=>[1,2,3,5,4]
[{1},{4},{3},{5},{2}]=>[1,4,3,5,2]=>[1,2,4,5,3]=>[1,2,5,4,3]
[{1},{5},{3},{4},{2}]=>[1,5,3,4,2]=>[1,2,5,3,4]=>[1,2,5,3,4]
[{1},{4},{5},{3},{2}]=>[1,4,5,3,2]=>[1,2,4,3,5]=>[1,2,4,3,5]
[{1},{5},{4},{3},{2}]=>[1,5,4,3,2]=>[1,2,5,3,4]=>[1,2,5,3,4]
[{2},{1},{3},{4},{5}]=>[2,1,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{2},{1},{3},{5},{4}]=>[2,1,3,5,4]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{2},{1},{4},{3},{5}]=>[2,1,4,3,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{2},{1},{5},{3},{4}]=>[2,1,5,3,4]=>[1,2,3,5,4]=>[1,2,3,5,4]
[{2},{1},{4},{5},{3}]=>[2,1,4,5,3]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{2},{1},{5},{4},{3}]=>[2,1,5,4,3]=>[1,2,3,5,4]=>[1,2,3,5,4]
[{3},{1},{2},{4},{5}]=>[3,1,2,4,5]=>[1,3,2,4,5]=>[1,3,2,4,5]
[{3},{1},{2},{5},{4}]=>[3,1,2,5,4]=>[1,3,2,4,5]=>[1,3,2,4,5]
[{4},{1},{2},{3},{5}]=>[4,1,2,3,5]=>[1,4,3,2,5]=>[1,3,4,2,5]
[{5},{1},{2},{3},{4}]=>[5,1,2,3,4]=>[1,5,4,3,2]=>[1,3,4,5,2]
[{4},{1},{2},{5},{3}]=>[4,1,2,5,3]=>[1,4,5,3,2]=>[1,3,5,4,2]
[{5},{1},{2},{4},{3}]=>[5,1,2,4,3]=>[1,5,3,2,4]=>[1,3,5,2,4]
[{3},{1},{4},{2},{5}]=>[3,1,4,2,5]=>[1,3,4,2,5]=>[1,4,3,2,5]
[{3},{1},{5},{2},{4}]=>[3,1,5,2,4]=>[1,3,5,4,2]=>[1,4,3,5,2]
[{4},{1},{3},{2},{5}]=>[4,1,3,2,5]=>[1,4,2,3,5]=>[1,4,2,3,5]
[{5},{1},{3},{2},{4}]=>[5,1,3,2,4]=>[1,5,4,2,3]=>[1,4,2,5,3]
[{4},{1},{5},{2},{3}]=>[4,1,5,2,3]=>[1,4,2,3,5]=>[1,4,2,3,5]
[{5},{1},{4},{2},{3}]=>[5,1,4,2,3]=>[1,5,3,4,2]=>[1,4,5,3,2]
[{3},{1},{4},{5},{2}]=>[3,1,4,5,2]=>[1,3,4,5,2]=>[1,5,3,4,2]
[{3},{1},{5},{4},{2}]=>[3,1,5,4,2]=>[1,3,5,2,4]=>[1,5,3,2,4]
[{4},{1},{3},{5},{2}]=>[4,1,3,5,2]=>[1,4,5,2,3]=>[1,5,2,4,3]
[{5},{1},{3},{4},{2}]=>[5,1,3,4,2]=>[1,5,2,3,4]=>[1,5,2,3,4]
[{4},{1},{5},{3},{2}]=>[4,1,5,3,2]=>[1,4,3,5,2]=>[1,5,4,3,2]
[{5},{1},{4},{3},{2}]=>[5,1,4,3,2]=>[1,5,2,3,4]=>[1,5,2,3,4]
[{2},{3},{1},{4},{5}]=>[2,3,1,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{2},{3},{1},{5},{4}]=>[2,3,1,5,4]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{2},{4},{1},{3},{5}]=>[2,4,1,3,5]=>[1,2,4,3,5]=>[1,2,4,3,5]
[{2},{5},{1},{3},{4}]=>[2,5,1,3,4]=>[1,2,5,4,3]=>[1,2,4,5,3]
[{2},{4},{1},{5},{3}]=>[2,4,1,5,3]=>[1,2,4,5,3]=>[1,2,5,4,3]
[{2},{5},{1},{4},{3}]=>[2,5,1,4,3]=>[1,2,5,3,4]=>[1,2,5,3,4]
[{3},{2},{1},{4},{5}]=>[3,2,1,4,5]=>[1,3,2,4,5]=>[1,3,2,4,5]
[{3},{2},{1},{5},{4}]=>[3,2,1,5,4]=>[1,3,2,4,5]=>[1,3,2,4,5]
[{4},{2},{1},{3},{5}]=>[4,2,1,3,5]=>[1,4,3,2,5]=>[1,3,4,2,5]
[{5},{2},{1},{3},{4}]=>[5,2,1,3,4]=>[1,5,4,3,2]=>[1,3,4,5,2]
[{4},{2},{1},{5},{3}]=>[4,2,1,5,3]=>[1,4,5,3,2]=>[1,3,5,4,2]
[{5},{2},{1},{4},{3}]=>[5,2,1,4,3]=>[1,5,3,2,4]=>[1,3,5,2,4]
[{3},{4},{1},{2},{5}]=>[3,4,1,2,5]=>[1,3,2,4,5]=>[1,3,2,4,5]
[{3},{5},{1},{2},{4}]=>[3,5,1,2,4]=>[1,3,2,5,4]=>[1,3,2,5,4]
[{4},{3},{1},{2},{5}]=>[4,3,1,2,5]=>[1,4,2,3,5]=>[1,4,2,3,5]
[{5},{3},{1},{2},{4}]=>[5,3,1,2,4]=>[1,5,4,2,3]=>[1,4,2,5,3]
[{4},{5},{1},{2},{3}]=>[4,5,1,2,3]=>[1,4,2,5,3]=>[1,4,5,2,3]
[{5},{4},{1},{2},{3}]=>[5,4,1,2,3]=>[1,5,3,2,4]=>[1,3,5,2,4]
[{3},{4},{1},{5},{2}]=>[3,4,1,5,2]=>[1,3,2,4,5]=>[1,3,2,4,5]
[{3},{5},{1},{4},{2}]=>[3,5,1,4,2]=>[1,3,2,5,4]=>[1,3,2,5,4]
[{4},{3},{1},{5},{2}]=>[4,3,1,5,2]=>[1,4,5,2,3]=>[1,5,2,4,3]
[{5},{3},{1},{4},{2}]=>[5,3,1,4,2]=>[1,5,2,3,4]=>[1,5,2,3,4]
[{4},{5},{1},{3},{2}]=>[4,5,1,3,2]=>[1,4,3,2,5]=>[1,3,4,2,5]
[{5},{4},{1},{3},{2}]=>[5,4,1,3,2]=>[1,5,2,4,3]=>[1,5,4,2,3]
[{2},{3},{4},{1},{5}]=>[2,3,4,1,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{2},{3},{5},{1},{4}]=>[2,3,5,1,4]=>[1,2,3,5,4]=>[1,2,3,5,4]
[{2},{4},{3},{1},{5}]=>[2,4,3,1,5]=>[1,2,4,3,5]=>[1,2,4,3,5]
[{2},{5},{3},{1},{4}]=>[2,5,3,1,4]=>[1,2,5,4,3]=>[1,2,4,5,3]
[{2},{4},{5},{1},{3}]=>[2,4,5,1,3]=>[1,2,4,3,5]=>[1,2,4,3,5]
[{2},{5},{4},{1},{3}]=>[2,5,4,1,3]=>[1,2,5,3,4]=>[1,2,5,3,4]
[{3},{2},{4},{1},{5}]=>[3,2,4,1,5]=>[1,3,4,2,5]=>[1,4,3,2,5]
[{3},{2},{5},{1},{4}]=>[3,2,5,1,4]=>[1,3,5,4,2]=>[1,4,3,5,2]
[{4},{2},{3},{1},{5}]=>[4,2,3,1,5]=>[1,4,2,3,5]=>[1,4,2,3,5]
[{5},{2},{3},{1},{4}]=>[5,2,3,1,4]=>[1,5,4,2,3]=>[1,4,2,5,3]
[{4},{2},{5},{1},{3}]=>[4,2,5,1,3]=>[1,4,2,3,5]=>[1,4,2,3,5]
[{5},{2},{4},{1},{3}]=>[5,2,4,1,3]=>[1,5,3,4,2]=>[1,4,5,3,2]
[{3},{4},{2},{1},{5}]=>[3,4,2,1,5]=>[1,3,2,4,5]=>[1,3,2,4,5]
[{3},{5},{2},{1},{4}]=>[3,5,2,1,4]=>[1,3,2,5,4]=>[1,3,2,5,4]
[{4},{3},{2},{1},{5}]=>[4,3,2,1,5]=>[1,4,2,3,5]=>[1,4,2,3,5]
[{5},{3},{2},{1},{4}]=>[5,3,2,1,4]=>[1,5,4,2,3]=>[1,4,2,5,3]
[{4},{5},{2},{1},{3}]=>[4,5,2,1,3]=>[1,4,2,5,3]=>[1,4,5,2,3]
[{5},{4},{2},{1},{3}]=>[5,4,2,1,3]=>[1,5,3,2,4]=>[1,3,5,2,4]
[{3},{4},{5},{1},{2}]=>[3,4,5,1,2]=>[1,3,5,2,4]=>[1,5,3,2,4]
[{3},{5},{4},{1},{2}]=>[3,5,4,1,2]=>[1,3,4,2,5]=>[1,4,3,2,5]
[{4},{3},{5},{1},{2}]=>[4,3,5,1,2]=>[1,4,2,3,5]=>[1,4,2,3,5]
[{5},{3},{4},{1},{2}]=>[5,3,4,1,2]=>[1,5,2,3,4]=>[1,5,2,3,4]
[{4},{5},{3},{1},{2}]=>[4,5,3,1,2]=>[1,4,2,5,3]=>[1,4,5,2,3]
[{5},{4},{3},{1},{2}]=>[5,4,3,1,2]=>[1,5,2,4,3]=>[1,5,4,2,3]
[{2},{3},{4},{5},{1}]=>[2,3,4,5,1]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{2},{3},{5},{4},{1}]=>[2,3,5,4,1]=>[1,2,3,5,4]=>[1,2,3,5,4]
[{2},{4},{3},{5},{1}]=>[2,4,3,5,1]=>[1,2,4,5,3]=>[1,2,5,4,3]
[{2},{5},{3},{4},{1}]=>[2,5,3,4,1]=>[1,2,5,3,4]=>[1,2,5,3,4]
[{2},{4},{5},{3},{1}]=>[2,4,5,3,1]=>[1,2,4,3,5]=>[1,2,4,3,5]
[{2},{5},{4},{3},{1}]=>[2,5,4,3,1]=>[1,2,5,3,4]=>[1,2,5,3,4]
[{3},{2},{4},{5},{1}]=>[3,2,4,5,1]=>[1,3,4,5,2]=>[1,5,3,4,2]
[{3},{2},{5},{4},{1}]=>[3,2,5,4,1]=>[1,3,5,2,4]=>[1,5,3,2,4]
[{4},{2},{3},{5},{1}]=>[4,2,3,5,1]=>[1,4,5,2,3]=>[1,5,2,4,3]
[{5},{2},{3},{4},{1}]=>[5,2,3,4,1]=>[1,5,2,3,4]=>[1,5,2,3,4]
[{4},{2},{5},{3},{1}]=>[4,2,5,3,1]=>[1,4,3,5,2]=>[1,5,4,3,2]
[{5},{2},{4},{3},{1}]=>[5,2,4,3,1]=>[1,5,2,3,4]=>[1,5,2,3,4]
[{3},{4},{2},{5},{1}]=>[3,4,2,5,1]=>[1,3,2,4,5]=>[1,3,2,4,5]
[{3},{5},{2},{4},{1}]=>[3,5,2,4,1]=>[1,3,2,5,4]=>[1,3,2,5,4]
[{4},{3},{2},{5},{1}]=>[4,3,2,5,1]=>[1,4,5,2,3]=>[1,5,2,4,3]
[{5},{3},{2},{4},{1}]=>[5,3,2,4,1]=>[1,5,2,3,4]=>[1,5,2,3,4]
[{4},{5},{2},{3},{1}]=>[4,5,2,3,1]=>[1,4,3,2,5]=>[1,3,4,2,5]
[{5},{4},{2},{3},{1}]=>[5,4,2,3,1]=>[1,5,2,4,3]=>[1,5,4,2,3]
[{3},{4},{5},{2},{1}]=>[3,4,5,2,1]=>[1,3,5,2,4]=>[1,5,3,2,4]
[{3},{5},{4},{2},{1}]=>[3,5,4,2,1]=>[1,3,4,2,5]=>[1,4,3,2,5]
[{4},{3},{5},{2},{1}]=>[4,3,5,2,1]=>[1,4,2,3,5]=>[1,4,2,3,5]
[{5},{3},{4},{2},{1}]=>[5,3,4,2,1]=>[1,5,2,3,4]=>[1,5,2,3,4]
[{4},{5},{3},{2},{1}]=>[4,5,3,2,1]=>[1,4,2,5,3]=>[1,4,5,2,3]
[{5},{4},{3},{2},{1}]=>[5,4,3,2,1]=>[1,5,2,4,3]=>[1,5,4,2,3]
[{1},{2},{3},{4,5}]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{1},{2},{4},{3,5}]=>[1,2,4,3,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{1},{2},{5},{3,4}]=>[1,2,5,3,4]=>[1,2,3,5,4]=>[1,2,3,5,4]
[{1},{3},{2},{4,5}]=>[1,3,2,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{1},{4},{2},{3,5}]=>[1,4,2,3,5]=>[1,2,4,3,5]=>[1,2,4,3,5]
[{1},{5},{2},{3,4}]=>[1,5,2,3,4]=>[1,2,5,4,3]=>[1,2,4,5,3]
[{1},{3},{4},{2,5}]=>[1,3,4,2,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{1},{3},{5},{2,4}]=>[1,3,5,2,4]=>[1,2,3,5,4]=>[1,2,3,5,4]
[{1},{4},{3},{2,5}]=>[1,4,3,2,5]=>[1,2,4,3,5]=>[1,2,4,3,5]
[{1},{5},{3},{2,4}]=>[1,5,3,2,4]=>[1,2,5,4,3]=>[1,2,4,5,3]
[{1},{4},{5},{2,3}]=>[1,4,5,2,3]=>[1,2,4,3,5]=>[1,2,4,3,5]
[{1},{5},{4},{2,3}]=>[1,5,4,2,3]=>[1,2,5,3,4]=>[1,2,5,3,4]
[{2},{1},{3},{4,5}]=>[2,1,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{2},{1},{4},{3,5}]=>[2,1,4,3,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{2},{1},{5},{3,4}]=>[2,1,5,3,4]=>[1,2,3,5,4]=>[1,2,3,5,4]
[{3},{1},{2},{4,5}]=>[3,1,2,4,5]=>[1,3,2,4,5]=>[1,3,2,4,5]
[{4},{1},{2},{3,5}]=>[4,1,2,3,5]=>[1,4,3,2,5]=>[1,3,4,2,5]
[{5},{1},{2},{3,4}]=>[5,1,2,3,4]=>[1,5,4,3,2]=>[1,3,4,5,2]
[{3},{1},{4},{2,5}]=>[3,1,4,2,5]=>[1,3,4,2,5]=>[1,4,3,2,5]
[{3},{1},{5},{2,4}]=>[3,1,5,2,4]=>[1,3,5,4,2]=>[1,4,3,5,2]
[{4},{1},{3},{2,5}]=>[4,1,3,2,5]=>[1,4,2,3,5]=>[1,4,2,3,5]
[{5},{1},{3},{2,4}]=>[5,1,3,2,4]=>[1,5,4,2,3]=>[1,4,2,5,3]
[{4},{1},{5},{2,3}]=>[4,1,5,2,3]=>[1,4,2,3,5]=>[1,4,2,3,5]
[{5},{1},{4},{2,3}]=>[5,1,4,2,3]=>[1,5,3,4,2]=>[1,4,5,3,2]
[{2},{3},{1},{4,5}]=>[2,3,1,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{2},{4},{1},{3,5}]=>[2,4,1,3,5]=>[1,2,4,3,5]=>[1,2,4,3,5]
[{2},{5},{1},{3,4}]=>[2,5,1,3,4]=>[1,2,5,4,3]=>[1,2,4,5,3]
[{3},{2},{1},{4,5}]=>[3,2,1,4,5]=>[1,3,2,4,5]=>[1,3,2,4,5]
[{4},{2},{1},{3,5}]=>[4,2,1,3,5]=>[1,4,3,2,5]=>[1,3,4,2,5]
[{5},{2},{1},{3,4}]=>[5,2,1,3,4]=>[1,5,4,3,2]=>[1,3,4,5,2]
[{3},{4},{1},{2,5}]=>[3,4,1,2,5]=>[1,3,2,4,5]=>[1,3,2,4,5]
[{3},{5},{1},{2,4}]=>[3,5,1,2,4]=>[1,3,2,5,4]=>[1,3,2,5,4]
[{4},{3},{1},{2,5}]=>[4,3,1,2,5]=>[1,4,2,3,5]=>[1,4,2,3,5]
[{5},{3},{1},{2,4}]=>[5,3,1,2,4]=>[1,5,4,2,3]=>[1,4,2,5,3]
[{4},{5},{1},{2,3}]=>[4,5,1,2,3]=>[1,4,2,5,3]=>[1,4,5,2,3]
[{5},{4},{1},{2,3}]=>[5,4,1,2,3]=>[1,5,3,2,4]=>[1,3,5,2,4]
[{2},{3},{4},{1,5}]=>[2,3,4,1,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{2},{3},{5},{1,4}]=>[2,3,5,1,4]=>[1,2,3,5,4]=>[1,2,3,5,4]
[{2},{4},{3},{1,5}]=>[2,4,3,1,5]=>[1,2,4,3,5]=>[1,2,4,3,5]
[{2},{5},{3},{1,4}]=>[2,5,3,1,4]=>[1,2,5,4,3]=>[1,2,4,5,3]
[{2},{4},{5},{1,3}]=>[2,4,5,1,3]=>[1,2,4,3,5]=>[1,2,4,3,5]
[{2},{5},{4},{1,3}]=>[2,5,4,1,3]=>[1,2,5,3,4]=>[1,2,5,3,4]
[{3},{2},{4},{1,5}]=>[3,2,4,1,5]=>[1,3,4,2,5]=>[1,4,3,2,5]
[{3},{2},{5},{1,4}]=>[3,2,5,1,4]=>[1,3,5,4,2]=>[1,4,3,5,2]
[{4},{2},{3},{1,5}]=>[4,2,3,1,5]=>[1,4,2,3,5]=>[1,4,2,3,5]
[{5},{2},{3},{1,4}]=>[5,2,3,1,4]=>[1,5,4,2,3]=>[1,4,2,5,3]
[{4},{2},{5},{1,3}]=>[4,2,5,1,3]=>[1,4,2,3,5]=>[1,4,2,3,5]
[{5},{2},{4},{1,3}]=>[5,2,4,1,3]=>[1,5,3,4,2]=>[1,4,5,3,2]
[{3},{4},{2},{1,5}]=>[3,4,2,1,5]=>[1,3,2,4,5]=>[1,3,2,4,5]
[{3},{5},{2},{1,4}]=>[3,5,2,1,4]=>[1,3,2,5,4]=>[1,3,2,5,4]
[{4},{3},{2},{1,5}]=>[4,3,2,1,5]=>[1,4,2,3,5]=>[1,4,2,3,5]
[{5},{3},{2},{1,4}]=>[5,3,2,1,4]=>[1,5,4,2,3]=>[1,4,2,5,3]
[{4},{5},{2},{1,3}]=>[4,5,2,1,3]=>[1,4,2,5,3]=>[1,4,5,2,3]
[{5},{4},{2},{1,3}]=>[5,4,2,1,3]=>[1,5,3,2,4]=>[1,3,5,2,4]
[{3},{4},{5},{1,2}]=>[3,4,5,1,2]=>[1,3,5,2,4]=>[1,5,3,2,4]
[{3},{5},{4},{1,2}]=>[3,5,4,1,2]=>[1,3,4,2,5]=>[1,4,3,2,5]
[{4},{3},{5},{1,2}]=>[4,3,5,1,2]=>[1,4,2,3,5]=>[1,4,2,3,5]
[{5},{3},{4},{1,2}]=>[5,3,4,1,2]=>[1,5,2,3,4]=>[1,5,2,3,4]
[{4},{5},{3},{1,2}]=>[4,5,3,1,2]=>[1,4,2,5,3]=>[1,4,5,2,3]
[{5},{4},{3},{1,2}]=>[5,4,3,1,2]=>[1,5,2,4,3]=>[1,5,4,2,3]
[{1},{2},{3,4},{5}]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{1},{2},{3,5},{4}]=>[1,2,3,5,4]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{1},{2},{4,5},{3}]=>[1,2,4,5,3]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{1},{3},{2,4},{5}]=>[1,3,2,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{1},{3},{2,5},{4}]=>[1,3,2,5,4]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{1},{4},{2,3},{5}]=>[1,4,2,3,5]=>[1,2,4,3,5]=>[1,2,4,3,5]
[{1},{5},{2,3},{4}]=>[1,5,2,3,4]=>[1,2,5,4,3]=>[1,2,4,5,3]
[{1},{4},{2,5},{3}]=>[1,4,2,5,3]=>[1,2,4,5,3]=>[1,2,5,4,3]
[{1},{5},{2,4},{3}]=>[1,5,2,4,3]=>[1,2,5,3,4]=>[1,2,5,3,4]
[{1},{3},{4,5},{2}]=>[1,3,4,5,2]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{1},{4},{3,5},{2}]=>[1,4,3,5,2]=>[1,2,4,5,3]=>[1,2,5,4,3]
[{1},{5},{3,4},{2}]=>[1,5,3,4,2]=>[1,2,5,3,4]=>[1,2,5,3,4]
[{2},{1},{3,4},{5}]=>[2,1,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{2},{1},{3,5},{4}]=>[2,1,3,5,4]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{2},{1},{4,5},{3}]=>[2,1,4,5,3]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{3},{1},{2,4},{5}]=>[3,1,2,4,5]=>[1,3,2,4,5]=>[1,3,2,4,5]
[{3},{1},{2,5},{4}]=>[3,1,2,5,4]=>[1,3,2,4,5]=>[1,3,2,4,5]
[{4},{1},{2,3},{5}]=>[4,1,2,3,5]=>[1,4,3,2,5]=>[1,3,4,2,5]
[{5},{1},{2,3},{4}]=>[5,1,2,3,4]=>[1,5,4,3,2]=>[1,3,4,5,2]
[{4},{1},{2,5},{3}]=>[4,1,2,5,3]=>[1,4,5,3,2]=>[1,3,5,4,2]
[{5},{1},{2,4},{3}]=>[5,1,2,4,3]=>[1,5,3,2,4]=>[1,3,5,2,4]
[{3},{1},{4,5},{2}]=>[3,1,4,5,2]=>[1,3,4,5,2]=>[1,5,3,4,2]
[{4},{1},{3,5},{2}]=>[4,1,3,5,2]=>[1,4,5,2,3]=>[1,5,2,4,3]
[{5},{1},{3,4},{2}]=>[5,1,3,4,2]=>[1,5,2,3,4]=>[1,5,2,3,4]
[{2},{3},{1,4},{5}]=>[2,3,1,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{2},{3},{1,5},{4}]=>[2,3,1,5,4]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{2},{4},{1,3},{5}]=>[2,4,1,3,5]=>[1,2,4,3,5]=>[1,2,4,3,5]
[{2},{5},{1,3},{4}]=>[2,5,1,3,4]=>[1,2,5,4,3]=>[1,2,4,5,3]
[{2},{4},{1,5},{3}]=>[2,4,1,5,3]=>[1,2,4,5,3]=>[1,2,5,4,3]
[{2},{5},{1,4},{3}]=>[2,5,1,4,3]=>[1,2,5,3,4]=>[1,2,5,3,4]
[{3},{2},{1,4},{5}]=>[3,2,1,4,5]=>[1,3,2,4,5]=>[1,3,2,4,5]
[{3},{2},{1,5},{4}]=>[3,2,1,5,4]=>[1,3,2,4,5]=>[1,3,2,4,5]
[{4},{2},{1,3},{5}]=>[4,2,1,3,5]=>[1,4,3,2,5]=>[1,3,4,2,5]
[{5},{2},{1,3},{4}]=>[5,2,1,3,4]=>[1,5,4,3,2]=>[1,3,4,5,2]
[{4},{2},{1,5},{3}]=>[4,2,1,5,3]=>[1,4,5,3,2]=>[1,3,5,4,2]
[{5},{2},{1,4},{3}]=>[5,2,1,4,3]=>[1,5,3,2,4]=>[1,3,5,2,4]
[{3},{4},{1,2},{5}]=>[3,4,1,2,5]=>[1,3,2,4,5]=>[1,3,2,4,5]
[{3},{5},{1,2},{4}]=>[3,5,1,2,4]=>[1,3,2,5,4]=>[1,3,2,5,4]
[{4},{3},{1,2},{5}]=>[4,3,1,2,5]=>[1,4,2,3,5]=>[1,4,2,3,5]
[{5},{3},{1,2},{4}]=>[5,3,1,2,4]=>[1,5,4,2,3]=>[1,4,2,5,3]
[{4},{5},{1,2},{3}]=>[4,5,1,2,3]=>[1,4,2,5,3]=>[1,4,5,2,3]
[{5},{4},{1,2},{3}]=>[5,4,1,2,3]=>[1,5,3,2,4]=>[1,3,5,2,4]
[{3},{4},{1,5},{2}]=>[3,4,1,5,2]=>[1,3,2,4,5]=>[1,3,2,4,5]
[{3},{5},{1,4},{2}]=>[3,5,1,4,2]=>[1,3,2,5,4]=>[1,3,2,5,4]
[{4},{3},{1,5},{2}]=>[4,3,1,5,2]=>[1,4,5,2,3]=>[1,5,2,4,3]
[{5},{3},{1,4},{2}]=>[5,3,1,4,2]=>[1,5,2,3,4]=>[1,5,2,3,4]
[{4},{5},{1,3},{2}]=>[4,5,1,3,2]=>[1,4,3,2,5]=>[1,3,4,2,5]
[{5},{4},{1,3},{2}]=>[5,4,1,3,2]=>[1,5,2,4,3]=>[1,5,4,2,3]
[{2},{3},{4,5},{1}]=>[2,3,4,5,1]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{2},{4},{3,5},{1}]=>[2,4,3,5,1]=>[1,2,4,5,3]=>[1,2,5,4,3]
[{2},{5},{3,4},{1}]=>[2,5,3,4,1]=>[1,2,5,3,4]=>[1,2,5,3,4]
[{3},{2},{4,5},{1}]=>[3,2,4,5,1]=>[1,3,4,5,2]=>[1,5,3,4,2]
[{4},{2},{3,5},{1}]=>[4,2,3,5,1]=>[1,4,5,2,3]=>[1,5,2,4,3]
[{5},{2},{3,4},{1}]=>[5,2,3,4,1]=>[1,5,2,3,4]=>[1,5,2,3,4]
[{3},{4},{2,5},{1}]=>[3,4,2,5,1]=>[1,3,2,4,5]=>[1,3,2,4,5]
[{3},{5},{2,4},{1}]=>[3,5,2,4,1]=>[1,3,2,5,4]=>[1,3,2,5,4]
[{4},{3},{2,5},{1}]=>[4,3,2,5,1]=>[1,4,5,2,3]=>[1,5,2,4,3]
[{5},{3},{2,4},{1}]=>[5,3,2,4,1]=>[1,5,2,3,4]=>[1,5,2,3,4]
[{4},{5},{2,3},{1}]=>[4,5,2,3,1]=>[1,4,3,2,5]=>[1,3,4,2,5]
[{5},{4},{2,3},{1}]=>[5,4,2,3,1]=>[1,5,2,4,3]=>[1,5,4,2,3]
[{1},{2},{3,4,5}]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{1},{3},{2,4,5}]=>[1,3,2,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{1},{4},{2,3,5}]=>[1,4,2,3,5]=>[1,2,4,3,5]=>[1,2,4,3,5]
[{1},{5},{2,3,4}]=>[1,5,2,3,4]=>[1,2,5,4,3]=>[1,2,4,5,3]
[{2},{1},{3,4,5}]=>[2,1,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{3},{1},{2,4,5}]=>[3,1,2,4,5]=>[1,3,2,4,5]=>[1,3,2,4,5]
[{4},{1},{2,3,5}]=>[4,1,2,3,5]=>[1,4,3,2,5]=>[1,3,4,2,5]
[{5},{1},{2,3,4}]=>[5,1,2,3,4]=>[1,5,4,3,2]=>[1,3,4,5,2]
[{2},{3},{1,4,5}]=>[2,3,1,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{2},{4},{1,3,5}]=>[2,4,1,3,5]=>[1,2,4,3,5]=>[1,2,4,3,5]
[{2},{5},{1,3,4}]=>[2,5,1,3,4]=>[1,2,5,4,3]=>[1,2,4,5,3]
[{3},{2},{1,4,5}]=>[3,2,1,4,5]=>[1,3,2,4,5]=>[1,3,2,4,5]
[{4},{2},{1,3,5}]=>[4,2,1,3,5]=>[1,4,3,2,5]=>[1,3,4,2,5]
[{5},{2},{1,3,4}]=>[5,2,1,3,4]=>[1,5,4,3,2]=>[1,3,4,5,2]
[{3},{4},{1,2,5}]=>[3,4,1,2,5]=>[1,3,2,4,5]=>[1,3,2,4,5]
[{3},{5},{1,2,4}]=>[3,5,1,2,4]=>[1,3,2,5,4]=>[1,3,2,5,4]
[{4},{3},{1,2,5}]=>[4,3,1,2,5]=>[1,4,2,3,5]=>[1,4,2,3,5]
[{5},{3},{1,2,4}]=>[5,3,1,2,4]=>[1,5,4,2,3]=>[1,4,2,5,3]
[{4},{5},{1,2,3}]=>[4,5,1,2,3]=>[1,4,2,5,3]=>[1,4,5,2,3]
[{5},{4},{1,2,3}]=>[5,4,1,2,3]=>[1,5,3,2,4]=>[1,3,5,2,4]
[{1},{2,3},{4},{5}]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{1},{2,3},{5},{4}]=>[1,2,3,5,4]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{1},{2,4},{3},{5}]=>[1,2,4,3,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{1},{2,5},{3},{4}]=>[1,2,5,3,4]=>[1,2,3,5,4]=>[1,2,3,5,4]
[{1},{2,4},{5},{3}]=>[1,2,4,5,3]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{1},{2,5},{4},{3}]=>[1,2,5,4,3]=>[1,2,3,5,4]=>[1,2,3,5,4]
[{1},{3,4},{2},{5}]=>[1,3,4,2,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{1},{3,5},{2},{4}]=>[1,3,5,2,4]=>[1,2,3,5,4]=>[1,2,3,5,4]
[{1},{4,5},{2},{3}]=>[1,4,5,2,3]=>[1,2,4,3,5]=>[1,2,4,3,5]
[{1},{3,4},{5},{2}]=>[1,3,4,5,2]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{1},{3,5},{4},{2}]=>[1,3,5,4,2]=>[1,2,3,5,4]=>[1,2,3,5,4]
[{1},{4,5},{3},{2}]=>[1,4,5,3,2]=>[1,2,4,3,5]=>[1,2,4,3,5]
[{2},{1,3},{4},{5}]=>[2,1,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{2},{1,3},{5},{4}]=>[2,1,3,5,4]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{2},{1,4},{3},{5}]=>[2,1,4,3,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{2},{1,5},{3},{4}]=>[2,1,5,3,4]=>[1,2,3,5,4]=>[1,2,3,5,4]
[{2},{1,4},{5},{3}]=>[2,1,4,5,3]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{2},{1,5},{4},{3}]=>[2,1,5,4,3]=>[1,2,3,5,4]=>[1,2,3,5,4]
[{3},{1,2},{4},{5}]=>[3,1,2,4,5]=>[1,3,2,4,5]=>[1,3,2,4,5]
[{3},{1,2},{5},{4}]=>[3,1,2,5,4]=>[1,3,2,4,5]=>[1,3,2,4,5]
[{4},{1,2},{3},{5}]=>[4,1,2,3,5]=>[1,4,3,2,5]=>[1,3,4,2,5]
[{5},{1,2},{3},{4}]=>[5,1,2,3,4]=>[1,5,4,3,2]=>[1,3,4,5,2]
[{4},{1,2},{5},{3}]=>[4,1,2,5,3]=>[1,4,5,3,2]=>[1,3,5,4,2]
[{5},{1,2},{4},{3}]=>[5,1,2,4,3]=>[1,5,3,2,4]=>[1,3,5,2,4]
[{3},{1,4},{2},{5}]=>[3,1,4,2,5]=>[1,3,4,2,5]=>[1,4,3,2,5]
[{3},{1,5},{2},{4}]=>[3,1,5,2,4]=>[1,3,5,4,2]=>[1,4,3,5,2]
[{4},{1,3},{2},{5}]=>[4,1,3,2,5]=>[1,4,2,3,5]=>[1,4,2,3,5]
[{5},{1,3},{2},{4}]=>[5,1,3,2,4]=>[1,5,4,2,3]=>[1,4,2,5,3]
[{4},{1,5},{2},{3}]=>[4,1,5,2,3]=>[1,4,2,3,5]=>[1,4,2,3,5]
[{5},{1,4},{2},{3}]=>[5,1,4,2,3]=>[1,5,3,4,2]=>[1,4,5,3,2]
[{3},{1,4},{5},{2}]=>[3,1,4,5,2]=>[1,3,4,5,2]=>[1,5,3,4,2]
[{3},{1,5},{4},{2}]=>[3,1,5,4,2]=>[1,3,5,2,4]=>[1,5,3,2,4]
[{4},{1,3},{5},{2}]=>[4,1,3,5,2]=>[1,4,5,2,3]=>[1,5,2,4,3]
[{5},{1,3},{4},{2}]=>[5,1,3,4,2]=>[1,5,2,3,4]=>[1,5,2,3,4]
[{4},{1,5},{3},{2}]=>[4,1,5,3,2]=>[1,4,3,5,2]=>[1,5,4,3,2]
[{5},{1,4},{3},{2}]=>[5,1,4,3,2]=>[1,5,2,3,4]=>[1,5,2,3,4]
[{2},{3,4},{1},{5}]=>[2,3,4,1,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{2},{3,5},{1},{4}]=>[2,3,5,1,4]=>[1,2,3,5,4]=>[1,2,3,5,4]
[{2},{4,5},{1},{3}]=>[2,4,5,1,3]=>[1,2,4,3,5]=>[1,2,4,3,5]
[{3},{2,4},{1},{5}]=>[3,2,4,1,5]=>[1,3,4,2,5]=>[1,4,3,2,5]
[{3},{2,5},{1},{4}]=>[3,2,5,1,4]=>[1,3,5,4,2]=>[1,4,3,5,2]
[{4},{2,3},{1},{5}]=>[4,2,3,1,5]=>[1,4,2,3,5]=>[1,4,2,3,5]
[{5},{2,3},{1},{4}]=>[5,2,3,1,4]=>[1,5,4,2,3]=>[1,4,2,5,3]
[{4},{2,5},{1},{3}]=>[4,2,5,1,3]=>[1,4,2,3,5]=>[1,4,2,3,5]
[{5},{2,4},{1},{3}]=>[5,2,4,1,3]=>[1,5,3,4,2]=>[1,4,5,3,2]
[{3},{4,5},{1},{2}]=>[3,4,5,1,2]=>[1,3,5,2,4]=>[1,5,3,2,4]
[{4},{3,5},{1},{2}]=>[4,3,5,1,2]=>[1,4,2,3,5]=>[1,4,2,3,5]
[{5},{3,4},{1},{2}]=>[5,3,4,1,2]=>[1,5,2,3,4]=>[1,5,2,3,4]
[{2},{3,4},{5},{1}]=>[2,3,4,5,1]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{2},{3,5},{4},{1}]=>[2,3,5,4,1]=>[1,2,3,5,4]=>[1,2,3,5,4]
[{2},{4,5},{3},{1}]=>[2,4,5,3,1]=>[1,2,4,3,5]=>[1,2,4,3,5]
[{3},{2,4},{5},{1}]=>[3,2,4,5,1]=>[1,3,4,5,2]=>[1,5,3,4,2]
[{3},{2,5},{4},{1}]=>[3,2,5,4,1]=>[1,3,5,2,4]=>[1,5,3,2,4]
[{4},{2,3},{5},{1}]=>[4,2,3,5,1]=>[1,4,5,2,3]=>[1,5,2,4,3]
[{5},{2,3},{4},{1}]=>[5,2,3,4,1]=>[1,5,2,3,4]=>[1,5,2,3,4]
[{4},{2,5},{3},{1}]=>[4,2,5,3,1]=>[1,4,3,5,2]=>[1,5,4,3,2]
[{5},{2,4},{3},{1}]=>[5,2,4,3,1]=>[1,5,2,3,4]=>[1,5,2,3,4]
[{3},{4,5},{2},{1}]=>[3,4,5,2,1]=>[1,3,5,2,4]=>[1,5,3,2,4]
[{4},{3,5},{2},{1}]=>[4,3,5,2,1]=>[1,4,2,3,5]=>[1,4,2,3,5]
[{5},{3,4},{2},{1}]=>[5,3,4,2,1]=>[1,5,2,3,4]=>[1,5,2,3,4]
[{1},{2,3},{4,5}]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{1},{2,4},{3,5}]=>[1,2,4,3,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{1},{2,5},{3,4}]=>[1,2,5,3,4]=>[1,2,3,5,4]=>[1,2,3,5,4]
[{1},{3,4},{2,5}]=>[1,3,4,2,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{1},{3,5},{2,4}]=>[1,3,5,2,4]=>[1,2,3,5,4]=>[1,2,3,5,4]
[{1},{4,5},{2,3}]=>[1,4,5,2,3]=>[1,2,4,3,5]=>[1,2,4,3,5]
[{2},{1,3},{4,5}]=>[2,1,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{2},{1,4},{3,5}]=>[2,1,4,3,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{2},{1,5},{3,4}]=>[2,1,5,3,4]=>[1,2,3,5,4]=>[1,2,3,5,4]
[{3},{1,2},{4,5}]=>[3,1,2,4,5]=>[1,3,2,4,5]=>[1,3,2,4,5]
[{4},{1,2},{3,5}]=>[4,1,2,3,5]=>[1,4,3,2,5]=>[1,3,4,2,5]
[{5},{1,2},{3,4}]=>[5,1,2,3,4]=>[1,5,4,3,2]=>[1,3,4,5,2]
[{3},{1,4},{2,5}]=>[3,1,4,2,5]=>[1,3,4,2,5]=>[1,4,3,2,5]
[{3},{1,5},{2,4}]=>[3,1,5,2,4]=>[1,3,5,4,2]=>[1,4,3,5,2]
[{4},{1,3},{2,5}]=>[4,1,3,2,5]=>[1,4,2,3,5]=>[1,4,2,3,5]
[{5},{1,3},{2,4}]=>[5,1,3,2,4]=>[1,5,4,2,3]=>[1,4,2,5,3]
[{4},{1,5},{2,3}]=>[4,1,5,2,3]=>[1,4,2,3,5]=>[1,4,2,3,5]
[{5},{1,4},{2,3}]=>[5,1,4,2,3]=>[1,5,3,4,2]=>[1,4,5,3,2]
[{2},{3,4},{1,5}]=>[2,3,4,1,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{2},{3,5},{1,4}]=>[2,3,5,1,4]=>[1,2,3,5,4]=>[1,2,3,5,4]
[{2},{4,5},{1,3}]=>[2,4,5,1,3]=>[1,2,4,3,5]=>[1,2,4,3,5]
[{3},{2,4},{1,5}]=>[3,2,4,1,5]=>[1,3,4,2,5]=>[1,4,3,2,5]
[{3},{2,5},{1,4}]=>[3,2,5,1,4]=>[1,3,5,4,2]=>[1,4,3,5,2]
[{4},{2,3},{1,5}]=>[4,2,3,1,5]=>[1,4,2,3,5]=>[1,4,2,3,5]
[{5},{2,3},{1,4}]=>[5,2,3,1,4]=>[1,5,4,2,3]=>[1,4,2,5,3]
[{4},{2,5},{1,3}]=>[4,2,5,1,3]=>[1,4,2,3,5]=>[1,4,2,3,5]
[{5},{2,4},{1,3}]=>[5,2,4,1,3]=>[1,5,3,4,2]=>[1,4,5,3,2]
[{3},{4,5},{1,2}]=>[3,4,5,1,2]=>[1,3,5,2,4]=>[1,5,3,2,4]
[{4},{3,5},{1,2}]=>[4,3,5,1,2]=>[1,4,2,3,5]=>[1,4,2,3,5]
[{5},{3,4},{1,2}]=>[5,3,4,1,2]=>[1,5,2,3,4]=>[1,5,2,3,4]
[{1},{2,3,4},{5}]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{1},{2,3,5},{4}]=>[1,2,3,5,4]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{1},{2,4,5},{3}]=>[1,2,4,5,3]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{1},{3,4,5},{2}]=>[1,3,4,5,2]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{2},{1,3,4},{5}]=>[2,1,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{2},{1,3,5},{4}]=>[2,1,3,5,4]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{2},{1,4,5},{3}]=>[2,1,4,5,3]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{3},{1,2,4},{5}]=>[3,1,2,4,5]=>[1,3,2,4,5]=>[1,3,2,4,5]
[{3},{1,2,5},{4}]=>[3,1,2,5,4]=>[1,3,2,4,5]=>[1,3,2,4,5]
[{4},{1,2,3},{5}]=>[4,1,2,3,5]=>[1,4,3,2,5]=>[1,3,4,2,5]
[{5},{1,2,3},{4}]=>[5,1,2,3,4]=>[1,5,4,3,2]=>[1,3,4,5,2]
[{4},{1,2,5},{3}]=>[4,1,2,5,3]=>[1,4,5,3,2]=>[1,3,5,4,2]
[{5},{1,2,4},{3}]=>[5,1,2,4,3]=>[1,5,3,2,4]=>[1,3,5,2,4]
[{3},{1,4,5},{2}]=>[3,1,4,5,2]=>[1,3,4,5,2]=>[1,5,3,4,2]
[{4},{1,3,5},{2}]=>[4,1,3,5,2]=>[1,4,5,2,3]=>[1,5,2,4,3]
[{5},{1,3,4},{2}]=>[5,1,3,4,2]=>[1,5,2,3,4]=>[1,5,2,3,4]
[{2},{3,4,5},{1}]=>[2,3,4,5,1]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{3},{2,4,5},{1}]=>[3,2,4,5,1]=>[1,3,4,5,2]=>[1,5,3,4,2]
[{4},{2,3,5},{1}]=>[4,2,3,5,1]=>[1,4,5,2,3]=>[1,5,2,4,3]
[{5},{2,3,4},{1}]=>[5,2,3,4,1]=>[1,5,2,3,4]=>[1,5,2,3,4]
[{1},{2,3,4,5}]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{2},{1,3,4,5}]=>[2,1,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{3},{1,2,4,5}]=>[3,1,2,4,5]=>[1,3,2,4,5]=>[1,3,2,4,5]
[{4},{1,2,3,5}]=>[4,1,2,3,5]=>[1,4,3,2,5]=>[1,3,4,2,5]
[{5},{1,2,3,4}]=>[5,1,2,3,4]=>[1,5,4,3,2]=>[1,3,4,5,2]
[{1,2},{3},{4},{5}]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{1,2},{3},{5},{4}]=>[1,2,3,5,4]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{1,2},{4},{3},{5}]=>[1,2,4,3,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{1,2},{5},{3},{4}]=>[1,2,5,3,4]=>[1,2,3,5,4]=>[1,2,3,5,4]
[{1,2},{4},{5},{3}]=>[1,2,4,5,3]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{1,2},{5},{4},{3}]=>[1,2,5,4,3]=>[1,2,3,5,4]=>[1,2,3,5,4]
[{1,3},{2},{4},{5}]=>[1,3,2,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{1,3},{2},{5},{4}]=>[1,3,2,5,4]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{1,4},{2},{3},{5}]=>[1,4,2,3,5]=>[1,2,4,3,5]=>[1,2,4,3,5]
[{1,5},{2},{3},{4}]=>[1,5,2,3,4]=>[1,2,5,4,3]=>[1,2,4,5,3]
[{1,4},{2},{5},{3}]=>[1,4,2,5,3]=>[1,2,4,5,3]=>[1,2,5,4,3]
[{1,5},{2},{4},{3}]=>[1,5,2,4,3]=>[1,2,5,3,4]=>[1,2,5,3,4]
[{1,3},{4},{2},{5}]=>[1,3,4,2,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{1,3},{5},{2},{4}]=>[1,3,5,2,4]=>[1,2,3,5,4]=>[1,2,3,5,4]
[{1,4},{3},{2},{5}]=>[1,4,3,2,5]=>[1,2,4,3,5]=>[1,2,4,3,5]
[{1,5},{3},{2},{4}]=>[1,5,3,2,4]=>[1,2,5,4,3]=>[1,2,4,5,3]
[{1,4},{5},{2},{3}]=>[1,4,5,2,3]=>[1,2,4,3,5]=>[1,2,4,3,5]
[{1,5},{4},{2},{3}]=>[1,5,4,2,3]=>[1,2,5,3,4]=>[1,2,5,3,4]
[{1,3},{4},{5},{2}]=>[1,3,4,5,2]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{1,3},{5},{4},{2}]=>[1,3,5,4,2]=>[1,2,3,5,4]=>[1,2,3,5,4]
[{1,4},{3},{5},{2}]=>[1,4,3,5,2]=>[1,2,4,5,3]=>[1,2,5,4,3]
[{1,5},{3},{4},{2}]=>[1,5,3,4,2]=>[1,2,5,3,4]=>[1,2,5,3,4]
[{1,4},{5},{3},{2}]=>[1,4,5,3,2]=>[1,2,4,3,5]=>[1,2,4,3,5]
[{1,5},{4},{3},{2}]=>[1,5,4,3,2]=>[1,2,5,3,4]=>[1,2,5,3,4]
[{2,3},{1},{4},{5}]=>[2,3,1,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{2,3},{1},{5},{4}]=>[2,3,1,5,4]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{2,4},{1},{3},{5}]=>[2,4,1,3,5]=>[1,2,4,3,5]=>[1,2,4,3,5]
[{2,5},{1},{3},{4}]=>[2,5,1,3,4]=>[1,2,5,4,3]=>[1,2,4,5,3]
[{2,4},{1},{5},{3}]=>[2,4,1,5,3]=>[1,2,4,5,3]=>[1,2,5,4,3]
[{2,5},{1},{4},{3}]=>[2,5,1,4,3]=>[1,2,5,3,4]=>[1,2,5,3,4]
[{3,4},{1},{2},{5}]=>[3,4,1,2,5]=>[1,3,2,4,5]=>[1,3,2,4,5]
[{3,5},{1},{2},{4}]=>[3,5,1,2,4]=>[1,3,2,5,4]=>[1,3,2,5,4]
[{4,5},{1},{2},{3}]=>[4,5,1,2,3]=>[1,4,2,5,3]=>[1,4,5,2,3]
[{3,4},{1},{5},{2}]=>[3,4,1,5,2]=>[1,3,2,4,5]=>[1,3,2,4,5]
[{3,5},{1},{4},{2}]=>[3,5,1,4,2]=>[1,3,2,5,4]=>[1,3,2,5,4]
[{4,5},{1},{3},{2}]=>[4,5,1,3,2]=>[1,4,3,2,5]=>[1,3,4,2,5]
[{2,3},{4},{1},{5}]=>[2,3,4,1,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{2,3},{5},{1},{4}]=>[2,3,5,1,4]=>[1,2,3,5,4]=>[1,2,3,5,4]
[{2,4},{3},{1},{5}]=>[2,4,3,1,5]=>[1,2,4,3,5]=>[1,2,4,3,5]
[{2,5},{3},{1},{4}]=>[2,5,3,1,4]=>[1,2,5,4,3]=>[1,2,4,5,3]
[{2,4},{5},{1},{3}]=>[2,4,5,1,3]=>[1,2,4,3,5]=>[1,2,4,3,5]
[{2,5},{4},{1},{3}]=>[2,5,4,1,3]=>[1,2,5,3,4]=>[1,2,5,3,4]
[{3,4},{2},{1},{5}]=>[3,4,2,1,5]=>[1,3,2,4,5]=>[1,3,2,4,5]
[{3,5},{2},{1},{4}]=>[3,5,2,1,4]=>[1,3,2,5,4]=>[1,3,2,5,4]
[{4,5},{2},{1},{3}]=>[4,5,2,1,3]=>[1,4,2,5,3]=>[1,4,5,2,3]
[{3,4},{5},{1},{2}]=>[3,4,5,1,2]=>[1,3,5,2,4]=>[1,5,3,2,4]
[{3,5},{4},{1},{2}]=>[3,5,4,1,2]=>[1,3,4,2,5]=>[1,4,3,2,5]
[{4,5},{3},{1},{2}]=>[4,5,3,1,2]=>[1,4,2,5,3]=>[1,4,5,2,3]
[{2,3},{4},{5},{1}]=>[2,3,4,5,1]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{2,3},{5},{4},{1}]=>[2,3,5,4,1]=>[1,2,3,5,4]=>[1,2,3,5,4]
[{2,4},{3},{5},{1}]=>[2,4,3,5,1]=>[1,2,4,5,3]=>[1,2,5,4,3]
[{2,5},{3},{4},{1}]=>[2,5,3,4,1]=>[1,2,5,3,4]=>[1,2,5,3,4]
[{2,4},{5},{3},{1}]=>[2,4,5,3,1]=>[1,2,4,3,5]=>[1,2,4,3,5]
[{2,5},{4},{3},{1}]=>[2,5,4,3,1]=>[1,2,5,3,4]=>[1,2,5,3,4]
[{3,4},{2},{5},{1}]=>[3,4,2,5,1]=>[1,3,2,4,5]=>[1,3,2,4,5]
[{3,5},{2},{4},{1}]=>[3,5,2,4,1]=>[1,3,2,5,4]=>[1,3,2,5,4]
[{4,5},{2},{3},{1}]=>[4,5,2,3,1]=>[1,4,3,2,5]=>[1,3,4,2,5]
[{3,4},{5},{2},{1}]=>[3,4,5,2,1]=>[1,3,5,2,4]=>[1,5,3,2,4]
[{3,5},{4},{2},{1}]=>[3,5,4,2,1]=>[1,3,4,2,5]=>[1,4,3,2,5]
[{4,5},{3},{2},{1}]=>[4,5,3,2,1]=>[1,4,2,5,3]=>[1,4,5,2,3]
[{1,2},{3},{4,5}]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{1,2},{4},{3,5}]=>[1,2,4,3,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{1,2},{5},{3,4}]=>[1,2,5,3,4]=>[1,2,3,5,4]=>[1,2,3,5,4]
[{1,3},{2},{4,5}]=>[1,3,2,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{1,4},{2},{3,5}]=>[1,4,2,3,5]=>[1,2,4,3,5]=>[1,2,4,3,5]
[{1,5},{2},{3,4}]=>[1,5,2,3,4]=>[1,2,5,4,3]=>[1,2,4,5,3]
[{1,3},{4},{2,5}]=>[1,3,4,2,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{1,3},{5},{2,4}]=>[1,3,5,2,4]=>[1,2,3,5,4]=>[1,2,3,5,4]
[{1,4},{3},{2,5}]=>[1,4,3,2,5]=>[1,2,4,3,5]=>[1,2,4,3,5]
[{1,5},{3},{2,4}]=>[1,5,3,2,4]=>[1,2,5,4,3]=>[1,2,4,5,3]
[{1,4},{5},{2,3}]=>[1,4,5,2,3]=>[1,2,4,3,5]=>[1,2,4,3,5]
[{1,5},{4},{2,3}]=>[1,5,4,2,3]=>[1,2,5,3,4]=>[1,2,5,3,4]
[{2,3},{1},{4,5}]=>[2,3,1,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{2,4},{1},{3,5}]=>[2,4,1,3,5]=>[1,2,4,3,5]=>[1,2,4,3,5]
[{2,5},{1},{3,4}]=>[2,5,1,3,4]=>[1,2,5,4,3]=>[1,2,4,5,3]
[{3,4},{1},{2,5}]=>[3,4,1,2,5]=>[1,3,2,4,5]=>[1,3,2,4,5]
[{3,5},{1},{2,4}]=>[3,5,1,2,4]=>[1,3,2,5,4]=>[1,3,2,5,4]
[{4,5},{1},{2,3}]=>[4,5,1,2,3]=>[1,4,2,5,3]=>[1,4,5,2,3]
[{2,3},{4},{1,5}]=>[2,3,4,1,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{2,3},{5},{1,4}]=>[2,3,5,1,4]=>[1,2,3,5,4]=>[1,2,3,5,4]
[{2,4},{3},{1,5}]=>[2,4,3,1,5]=>[1,2,4,3,5]=>[1,2,4,3,5]
[{2,5},{3},{1,4}]=>[2,5,3,1,4]=>[1,2,5,4,3]=>[1,2,4,5,3]
[{2,4},{5},{1,3}]=>[2,4,5,1,3]=>[1,2,4,3,5]=>[1,2,4,3,5]
[{2,5},{4},{1,3}]=>[2,5,4,1,3]=>[1,2,5,3,4]=>[1,2,5,3,4]
[{3,4},{2},{1,5}]=>[3,4,2,1,5]=>[1,3,2,4,5]=>[1,3,2,4,5]
[{3,5},{2},{1,4}]=>[3,5,2,1,4]=>[1,3,2,5,4]=>[1,3,2,5,4]
[{4,5},{2},{1,3}]=>[4,5,2,1,3]=>[1,4,2,5,3]=>[1,4,5,2,3]
[{3,4},{5},{1,2}]=>[3,4,5,1,2]=>[1,3,5,2,4]=>[1,5,3,2,4]
[{3,5},{4},{1,2}]=>[3,5,4,1,2]=>[1,3,4,2,5]=>[1,4,3,2,5]
[{4,5},{3},{1,2}]=>[4,5,3,1,2]=>[1,4,2,5,3]=>[1,4,5,2,3]
[{1,2},{3,4},{5}]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{1,2},{3,5},{4}]=>[1,2,3,5,4]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{1,2},{4,5},{3}]=>[1,2,4,5,3]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{1,3},{2,4},{5}]=>[1,3,2,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{1,3},{2,5},{4}]=>[1,3,2,5,4]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{1,4},{2,3},{5}]=>[1,4,2,3,5]=>[1,2,4,3,5]=>[1,2,4,3,5]
[{1,5},{2,3},{4}]=>[1,5,2,3,4]=>[1,2,5,4,3]=>[1,2,4,5,3]
[{1,4},{2,5},{3}]=>[1,4,2,5,3]=>[1,2,4,5,3]=>[1,2,5,4,3]
[{1,5},{2,4},{3}]=>[1,5,2,4,3]=>[1,2,5,3,4]=>[1,2,5,3,4]
[{1,3},{4,5},{2}]=>[1,3,4,5,2]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{1,4},{3,5},{2}]=>[1,4,3,5,2]=>[1,2,4,5,3]=>[1,2,5,4,3]
[{1,5},{3,4},{2}]=>[1,5,3,4,2]=>[1,2,5,3,4]=>[1,2,5,3,4]
[{2,3},{1,4},{5}]=>[2,3,1,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{2,3},{1,5},{4}]=>[2,3,1,5,4]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{2,4},{1,3},{5}]=>[2,4,1,3,5]=>[1,2,4,3,5]=>[1,2,4,3,5]
[{2,5},{1,3},{4}]=>[2,5,1,3,4]=>[1,2,5,4,3]=>[1,2,4,5,3]
[{2,4},{1,5},{3}]=>[2,4,1,5,3]=>[1,2,4,5,3]=>[1,2,5,4,3]
[{2,5},{1,4},{3}]=>[2,5,1,4,3]=>[1,2,5,3,4]=>[1,2,5,3,4]
[{3,4},{1,2},{5}]=>[3,4,1,2,5]=>[1,3,2,4,5]=>[1,3,2,4,5]
[{3,5},{1,2},{4}]=>[3,5,1,2,4]=>[1,3,2,5,4]=>[1,3,2,5,4]
[{4,5},{1,2},{3}]=>[4,5,1,2,3]=>[1,4,2,5,3]=>[1,4,5,2,3]
[{3,4},{1,5},{2}]=>[3,4,1,5,2]=>[1,3,2,4,5]=>[1,3,2,4,5]
[{3,5},{1,4},{2}]=>[3,5,1,4,2]=>[1,3,2,5,4]=>[1,3,2,5,4]
[{4,5},{1,3},{2}]=>[4,5,1,3,2]=>[1,4,3,2,5]=>[1,3,4,2,5]
[{2,3},{4,5},{1}]=>[2,3,4,5,1]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{2,4},{3,5},{1}]=>[2,4,3,5,1]=>[1,2,4,5,3]=>[1,2,5,4,3]
[{2,5},{3,4},{1}]=>[2,5,3,4,1]=>[1,2,5,3,4]=>[1,2,5,3,4]
[{3,4},{2,5},{1}]=>[3,4,2,5,1]=>[1,3,2,4,5]=>[1,3,2,4,5]
[{3,5},{2,4},{1}]=>[3,5,2,4,1]=>[1,3,2,5,4]=>[1,3,2,5,4]
[{4,5},{2,3},{1}]=>[4,5,2,3,1]=>[1,4,3,2,5]=>[1,3,4,2,5]
[{1,2},{3,4,5}]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{1,3},{2,4,5}]=>[1,3,2,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{1,4},{2,3,5}]=>[1,4,2,3,5]=>[1,2,4,3,5]=>[1,2,4,3,5]
[{1,5},{2,3,4}]=>[1,5,2,3,4]=>[1,2,5,4,3]=>[1,2,4,5,3]
[{2,3},{1,4,5}]=>[2,3,1,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{2,4},{1,3,5}]=>[2,4,1,3,5]=>[1,2,4,3,5]=>[1,2,4,3,5]
[{2,5},{1,3,4}]=>[2,5,1,3,4]=>[1,2,5,4,3]=>[1,2,4,5,3]
[{3,4},{1,2,5}]=>[3,4,1,2,5]=>[1,3,2,4,5]=>[1,3,2,4,5]
[{3,5},{1,2,4}]=>[3,5,1,2,4]=>[1,3,2,5,4]=>[1,3,2,5,4]
[{4,5},{1,2,3}]=>[4,5,1,2,3]=>[1,4,2,5,3]=>[1,4,5,2,3]
[{1,2,3},{4},{5}]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{1,2,3},{5},{4}]=>[1,2,3,5,4]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{1,2,4},{3},{5}]=>[1,2,4,3,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{1,2,5},{3},{4}]=>[1,2,5,3,4]=>[1,2,3,5,4]=>[1,2,3,5,4]
[{1,2,4},{5},{3}]=>[1,2,4,5,3]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{1,2,5},{4},{3}]=>[1,2,5,4,3]=>[1,2,3,5,4]=>[1,2,3,5,4]
[{1,3,4},{2},{5}]=>[1,3,4,2,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{1,3,5},{2},{4}]=>[1,3,5,2,4]=>[1,2,3,5,4]=>[1,2,3,5,4]
[{1,4,5},{2},{3}]=>[1,4,5,2,3]=>[1,2,4,3,5]=>[1,2,4,3,5]
[{1,3,4},{5},{2}]=>[1,3,4,5,2]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{1,3,5},{4},{2}]=>[1,3,5,4,2]=>[1,2,3,5,4]=>[1,2,3,5,4]
[{1,4,5},{3},{2}]=>[1,4,5,3,2]=>[1,2,4,3,5]=>[1,2,4,3,5]
[{2,3,4},{1},{5}]=>[2,3,4,1,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{2,3,5},{1},{4}]=>[2,3,5,1,4]=>[1,2,3,5,4]=>[1,2,3,5,4]
[{2,4,5},{1},{3}]=>[2,4,5,1,3]=>[1,2,4,3,5]=>[1,2,4,3,5]
[{3,4,5},{1},{2}]=>[3,4,5,1,2]=>[1,3,5,2,4]=>[1,5,3,2,4]
[{2,3,4},{5},{1}]=>[2,3,4,5,1]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{2,3,5},{4},{1}]=>[2,3,5,4,1]=>[1,2,3,5,4]=>[1,2,3,5,4]
[{2,4,5},{3},{1}]=>[2,4,5,3,1]=>[1,2,4,3,5]=>[1,2,4,3,5]
[{3,4,5},{2},{1}]=>[3,4,5,2,1]=>[1,3,5,2,4]=>[1,5,3,2,4]
[{1,2,3},{4,5}]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{1,2,4},{3,5}]=>[1,2,4,3,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{1,2,5},{3,4}]=>[1,2,5,3,4]=>[1,2,3,5,4]=>[1,2,3,5,4]
[{1,3,4},{2,5}]=>[1,3,4,2,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{1,3,5},{2,4}]=>[1,3,5,2,4]=>[1,2,3,5,4]=>[1,2,3,5,4]
[{1,4,5},{2,3}]=>[1,4,5,2,3]=>[1,2,4,3,5]=>[1,2,4,3,5]
[{2,3,4},{1,5}]=>[2,3,4,1,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{2,3,5},{1,4}]=>[2,3,5,1,4]=>[1,2,3,5,4]=>[1,2,3,5,4]
[{2,4,5},{1,3}]=>[2,4,5,1,3]=>[1,2,4,3,5]=>[1,2,4,3,5]
[{3,4,5},{1,2}]=>[3,4,5,1,2]=>[1,3,5,2,4]=>[1,5,3,2,4]
[{1,2,3,4},{5}]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{1,2,3,5},{4}]=>[1,2,3,5,4]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{1,2,4,5},{3}]=>[1,2,4,5,3]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{1,3,4,5},{2}]=>[1,3,4,5,2]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{2,3,4,5},{1}]=>[2,3,4,5,1]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{1,2,3,4,5}]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[{1},{2},{3},{4},{5},{6}]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{2},{3},{4},{6},{5}]=>[1,2,3,4,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{2},{3},{5},{4},{6}]=>[1,2,3,5,4,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{2},{3},{6},{4},{5}]=>[1,2,3,6,4,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1},{2},{3},{5},{6},{4}]=>[1,2,3,5,6,4]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{2},{3},{6},{5},{4}]=>[1,2,3,6,5,4]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1},{2},{4},{3},{5},{6}]=>[1,2,4,3,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{2},{4},{3},{6},{5}]=>[1,2,4,3,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{2},{5},{3},{4},{6}]=>[1,2,5,3,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1},{2},{6},{3},{4},{5}]=>[1,2,6,3,4,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{1},{2},{5},{3},{6},{4}]=>[1,2,5,3,6,4]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]
[{1},{2},{6},{3},{5},{4}]=>[1,2,6,3,5,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{1},{2},{4},{5},{3},{6}]=>[1,2,4,5,3,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{2},{4},{6},{3},{5}]=>[1,2,4,6,3,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1},{2},{5},{4},{3},{6}]=>[1,2,5,4,3,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1},{2},{6},{4},{3},{5}]=>[1,2,6,4,3,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{1},{2},{5},{6},{3},{4}]=>[1,2,5,6,3,4]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1},{2},{6},{5},{3},{4}]=>[1,2,6,5,3,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{1},{2},{4},{5},{6},{3}]=>[1,2,4,5,6,3]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{2},{4},{6},{5},{3}]=>[1,2,4,6,5,3]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1},{2},{5},{4},{6},{3}]=>[1,2,5,4,6,3]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]
[{1},{2},{6},{4},{5},{3}]=>[1,2,6,4,5,3]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{1},{2},{5},{6},{4},{3}]=>[1,2,5,6,4,3]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1},{2},{6},{5},{4},{3}]=>[1,2,6,5,4,3]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{1},{3},{2},{4},{5},{6}]=>[1,3,2,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{3},{2},{4},{6},{5}]=>[1,3,2,4,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{3},{2},{5},{4},{6}]=>[1,3,2,5,4,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{3},{2},{6},{4},{5}]=>[1,3,2,6,4,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1},{3},{2},{5},{6},{4}]=>[1,3,2,5,6,4]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{3},{2},{6},{5},{4}]=>[1,3,2,6,5,4]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1},{4},{2},{3},{5},{6}]=>[1,4,2,3,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1},{4},{2},{3},{6},{5}]=>[1,4,2,3,6,5]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1},{5},{2},{3},{4},{6}]=>[1,5,2,3,4,6]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{1},{6},{2},{3},{4},{5}]=>[1,6,2,3,4,5]=>[1,2,6,5,4,3]=>[1,2,4,5,6,3]
[{1},{5},{2},{3},{6},{4}]=>[1,5,2,3,6,4]=>[1,2,5,6,4,3]=>[1,2,4,6,5,3]
[{1},{6},{2},{3},{5},{4}]=>[1,6,2,3,5,4]=>[1,2,6,4,3,5]=>[1,2,4,6,3,5]
[{1},{4},{2},{5},{3},{6}]=>[1,4,2,5,3,6]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]
[{1},{4},{2},{6},{3},{5}]=>[1,4,2,6,3,5]=>[1,2,4,6,5,3]=>[1,2,5,4,6,3]
[{1},{5},{2},{4},{3},{6}]=>[1,5,2,4,3,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{1},{6},{2},{4},{3},{5}]=>[1,6,2,4,3,5]=>[1,2,6,5,3,4]=>[1,2,5,3,6,4]
[{1},{5},{2},{6},{3},{4}]=>[1,5,2,6,3,4]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{1},{6},{2},{5},{3},{4}]=>[1,6,2,5,3,4]=>[1,2,6,4,5,3]=>[1,2,5,6,4,3]
[{1},{4},{2},{5},{6},{3}]=>[1,4,2,5,6,3]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]
[{1},{4},{2},{6},{5},{3}]=>[1,4,2,6,5,3]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]
[{1},{5},{2},{4},{6},{3}]=>[1,5,2,4,6,3]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]
[{1},{6},{2},{4},{5},{3}]=>[1,6,2,4,5,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{1},{5},{2},{6},{4},{3}]=>[1,5,2,6,4,3]=>[1,2,5,4,6,3]=>[1,2,6,5,4,3]
[{1},{6},{2},{5},{4},{3}]=>[1,6,2,5,4,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{1},{3},{4},{2},{5},{6}]=>[1,3,4,2,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{3},{4},{2},{6},{5}]=>[1,3,4,2,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{3},{5},{2},{4},{6}]=>[1,3,5,2,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1},{3},{6},{2},{4},{5}]=>[1,3,6,2,4,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{1},{3},{5},{2},{6},{4}]=>[1,3,5,2,6,4]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]
[{1},{3},{6},{2},{5},{4}]=>[1,3,6,2,5,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{1},{4},{3},{2},{5},{6}]=>[1,4,3,2,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1},{4},{3},{2},{6},{5}]=>[1,4,3,2,6,5]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1},{5},{3},{2},{4},{6}]=>[1,5,3,2,4,6]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{1},{6},{3},{2},{4},{5}]=>[1,6,3,2,4,5]=>[1,2,6,5,4,3]=>[1,2,4,5,6,3]
[{1},{5},{3},{2},{6},{4}]=>[1,5,3,2,6,4]=>[1,2,5,6,4,3]=>[1,2,4,6,5,3]
[{1},{6},{3},{2},{5},{4}]=>[1,6,3,2,5,4]=>[1,2,6,4,3,5]=>[1,2,4,6,3,5]
[{1},{4},{5},{2},{3},{6}]=>[1,4,5,2,3,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1},{4},{6},{2},{3},{5}]=>[1,4,6,2,3,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{1},{5},{4},{2},{3},{6}]=>[1,5,4,2,3,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{1},{6},{4},{2},{3},{5}]=>[1,6,4,2,3,5]=>[1,2,6,5,3,4]=>[1,2,5,3,6,4]
[{1},{5},{6},{2},{3},{4}]=>[1,5,6,2,3,4]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[{1},{6},{5},{2},{3},{4}]=>[1,6,5,2,3,4]=>[1,2,6,4,3,5]=>[1,2,4,6,3,5]
[{1},{4},{5},{2},{6},{3}]=>[1,4,5,2,6,3]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1},{4},{6},{2},{5},{3}]=>[1,4,6,2,5,3]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{1},{5},{4},{2},{6},{3}]=>[1,5,4,2,6,3]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]
[{1},{6},{4},{2},{5},{3}]=>[1,6,4,2,5,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{1},{5},{6},{2},{4},{3}]=>[1,5,6,2,4,3]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{1},{6},{5},{2},{4},{3}]=>[1,6,5,2,4,3]=>[1,2,6,3,5,4]=>[1,2,6,5,3,4]
[{1},{3},{4},{5},{2},{6}]=>[1,3,4,5,2,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{3},{4},{6},{2},{5}]=>[1,3,4,6,2,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1},{3},{5},{4},{2},{6}]=>[1,3,5,4,2,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1},{3},{6},{4},{2},{5}]=>[1,3,6,4,2,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{1},{3},{5},{6},{2},{4}]=>[1,3,5,6,2,4]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1},{3},{6},{5},{2},{4}]=>[1,3,6,5,2,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{1},{4},{3},{5},{2},{6}]=>[1,4,3,5,2,6]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]
[{1},{4},{3},{6},{2},{5}]=>[1,4,3,6,2,5]=>[1,2,4,6,5,3]=>[1,2,5,4,6,3]
[{1},{5},{3},{4},{2},{6}]=>[1,5,3,4,2,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{1},{6},{3},{4},{2},{5}]=>[1,6,3,4,2,5]=>[1,2,6,5,3,4]=>[1,2,5,3,6,4]
[{1},{5},{3},{6},{2},{4}]=>[1,5,3,6,2,4]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{1},{6},{3},{5},{2},{4}]=>[1,6,3,5,2,4]=>[1,2,6,4,5,3]=>[1,2,5,6,4,3]
[{1},{4},{5},{3},{2},{6}]=>[1,4,5,3,2,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1},{4},{6},{3},{2},{5}]=>[1,4,6,3,2,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{1},{5},{4},{3},{2},{6}]=>[1,5,4,3,2,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{1},{6},{4},{3},{2},{5}]=>[1,6,4,3,2,5]=>[1,2,6,5,3,4]=>[1,2,5,3,6,4]
[{1},{5},{6},{3},{2},{4}]=>[1,5,6,3,2,4]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[{1},{6},{5},{3},{2},{4}]=>[1,6,5,3,2,4]=>[1,2,6,4,3,5]=>[1,2,4,6,3,5]
[{1},{4},{5},{6},{2},{3}]=>[1,4,5,6,2,3]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]
[{1},{4},{6},{5},{2},{3}]=>[1,4,6,5,2,3]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]
[{1},{5},{4},{6},{2},{3}]=>[1,5,4,6,2,3]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{1},{6},{4},{5},{2},{3}]=>[1,6,4,5,2,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{1},{5},{6},{4},{2},{3}]=>[1,5,6,4,2,3]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[{1},{6},{5},{4},{2},{3}]=>[1,6,5,4,2,3]=>[1,2,6,3,5,4]=>[1,2,6,5,3,4]
[{1},{3},{4},{5},{6},{2}]=>[1,3,4,5,6,2]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{3},{4},{6},{5},{2}]=>[1,3,4,6,5,2]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1},{3},{5},{4},{6},{2}]=>[1,3,5,4,6,2]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]
[{1},{3},{6},{4},{5},{2}]=>[1,3,6,4,5,2]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{1},{3},{5},{6},{4},{2}]=>[1,3,5,6,4,2]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1},{3},{6},{5},{4},{2}]=>[1,3,6,5,4,2]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{1},{4},{3},{5},{6},{2}]=>[1,4,3,5,6,2]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]
[{1},{4},{3},{6},{5},{2}]=>[1,4,3,6,5,2]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]
[{1},{5},{3},{4},{6},{2}]=>[1,5,3,4,6,2]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]
[{1},{6},{3},{4},{5},{2}]=>[1,6,3,4,5,2]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{1},{5},{3},{6},{4},{2}]=>[1,5,3,6,4,2]=>[1,2,5,4,6,3]=>[1,2,6,5,4,3]
[{1},{6},{3},{5},{4},{2}]=>[1,6,3,5,4,2]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{1},{4},{5},{3},{6},{2}]=>[1,4,5,3,6,2]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1},{4},{6},{3},{5},{2}]=>[1,4,6,3,5,2]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{1},{5},{4},{3},{6},{2}]=>[1,5,4,3,6,2]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]
[{1},{6},{4},{3},{5},{2}]=>[1,6,4,3,5,2]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{1},{5},{6},{3},{4},{2}]=>[1,5,6,3,4,2]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{1},{6},{5},{3},{4},{2}]=>[1,6,5,3,4,2]=>[1,2,6,3,5,4]=>[1,2,6,5,3,4]
[{1},{4},{5},{6},{3},{2}]=>[1,4,5,6,3,2]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]
[{1},{4},{6},{5},{3},{2}]=>[1,4,6,5,3,2]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]
[{1},{5},{4},{6},{3},{2}]=>[1,5,4,6,3,2]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{1},{6},{4},{5},{3},{2}]=>[1,6,4,5,3,2]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{1},{5},{6},{4},{3},{2}]=>[1,5,6,4,3,2]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[{1},{6},{5},{4},{3},{2}]=>[1,6,5,4,3,2]=>[1,2,6,3,5,4]=>[1,2,6,5,3,4]
[{2},{1},{3},{4},{5},{6}]=>[2,1,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{1},{3},{4},{6},{5}]=>[2,1,3,4,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{1},{3},{5},{4},{6}]=>[2,1,3,5,4,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{1},{3},{6},{4},{5}]=>[2,1,3,6,4,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{2},{1},{3},{5},{6},{4}]=>[2,1,3,5,6,4]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{1},{3},{6},{5},{4}]=>[2,1,3,6,5,4]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{2},{1},{4},{3},{5},{6}]=>[2,1,4,3,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{1},{4},{3},{6},{5}]=>[2,1,4,3,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{1},{5},{3},{4},{6}]=>[2,1,5,3,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{2},{1},{6},{3},{4},{5}]=>[2,1,6,3,4,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{2},{1},{5},{3},{6},{4}]=>[2,1,5,3,6,4]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]
[{2},{1},{6},{3},{5},{4}]=>[2,1,6,3,5,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{2},{1},{4},{5},{3},{6}]=>[2,1,4,5,3,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{1},{4},{6},{3},{5}]=>[2,1,4,6,3,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{2},{1},{5},{4},{3},{6}]=>[2,1,5,4,3,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{2},{1},{6},{4},{3},{5}]=>[2,1,6,4,3,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{2},{1},{5},{6},{3},{4}]=>[2,1,5,6,3,4]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{2},{1},{6},{5},{3},{4}]=>[2,1,6,5,3,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{2},{1},{4},{5},{6},{3}]=>[2,1,4,5,6,3]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{1},{4},{6},{5},{3}]=>[2,1,4,6,5,3]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{2},{1},{5},{4},{6},{3}]=>[2,1,5,4,6,3]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]
[{2},{1},{6},{4},{5},{3}]=>[2,1,6,4,5,3]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{2},{1},{5},{6},{4},{3}]=>[2,1,5,6,4,3]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{2},{1},{6},{5},{4},{3}]=>[2,1,6,5,4,3]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{3},{1},{2},{4},{5},{6}]=>[3,1,2,4,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{1},{2},{4},{6},{5}]=>[3,1,2,4,6,5]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{1},{2},{5},{4},{6}]=>[3,1,2,5,4,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{1},{2},{6},{4},{5}]=>[3,1,2,6,4,5]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]
[{3},{1},{2},{5},{6},{4}]=>[3,1,2,5,6,4]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{1},{2},{6},{5},{4}]=>[3,1,2,6,5,4]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]
[{4},{1},{2},{3},{5},{6}]=>[4,1,2,3,5,6]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]
[{4},{1},{2},{3},{6},{5}]=>[4,1,2,3,6,5]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]
[{5},{1},{2},{3},{4},{6}]=>[5,1,2,3,4,6]=>[1,5,4,3,2,6]=>[1,3,4,5,2,6]
[{6},{1},{2},{3},{4},{5}]=>[6,1,2,3,4,5]=>[1,6,5,4,3,2]=>[1,3,4,5,6,2]
[{5},{1},{2},{3},{6},{4}]=>[5,1,2,3,6,4]=>[1,5,6,4,3,2]=>[1,3,4,6,5,2]
[{6},{1},{2},{3},{5},{4}]=>[6,1,2,3,5,4]=>[1,6,4,3,2,5]=>[1,3,4,6,2,5]
[{4},{1},{2},{5},{3},{6}]=>[4,1,2,5,3,6]=>[1,4,5,3,2,6]=>[1,3,5,4,2,6]
[{4},{1},{2},{6},{3},{5}]=>[4,1,2,6,3,5]=>[1,4,6,5,3,2]=>[1,3,5,4,6,2]
[{5},{1},{2},{4},{3},{6}]=>[5,1,2,4,3,6]=>[1,5,3,2,4,6]=>[1,3,5,2,4,6]
[{6},{1},{2},{4},{3},{5}]=>[6,1,2,4,3,5]=>[1,6,5,3,2,4]=>[1,3,5,2,6,4]
[{5},{1},{2},{6},{3},{4}]=>[5,1,2,6,3,4]=>[1,5,3,2,4,6]=>[1,3,5,2,4,6]
[{6},{1},{2},{5},{3},{4}]=>[6,1,2,5,3,4]=>[1,6,4,5,3,2]=>[1,3,5,6,4,2]
[{4},{1},{2},{5},{6},{3}]=>[4,1,2,5,6,3]=>[1,4,5,6,3,2]=>[1,3,6,4,5,2]
[{4},{1},{2},{6},{5},{3}]=>[4,1,2,6,5,3]=>[1,4,6,3,2,5]=>[1,3,6,4,2,5]
[{5},{1},{2},{4},{6},{3}]=>[5,1,2,4,6,3]=>[1,5,6,3,2,4]=>[1,3,6,2,5,4]
[{6},{1},{2},{4},{5},{3}]=>[6,1,2,4,5,3]=>[1,6,3,2,4,5]=>[1,3,6,2,4,5]
[{5},{1},{2},{6},{4},{3}]=>[5,1,2,6,4,3]=>[1,5,4,6,3,2]=>[1,3,6,5,4,2]
[{6},{1},{2},{5},{4},{3}]=>[6,1,2,5,4,3]=>[1,6,3,2,4,5]=>[1,3,6,2,4,5]
[{3},{1},{4},{2},{5},{6}]=>[3,1,4,2,5,6]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]
[{3},{1},{4},{2},{6},{5}]=>[3,1,4,2,6,5]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]
[{3},{1},{5},{2},{4},{6}]=>[3,1,5,2,4,6]=>[1,3,5,4,2,6]=>[1,4,3,5,2,6]
[{3},{1},{6},{2},{4},{5}]=>[3,1,6,2,4,5]=>[1,3,6,5,4,2]=>[1,4,3,5,6,2]
[{3},{1},{5},{2},{6},{4}]=>[3,1,5,2,6,4]=>[1,3,5,6,4,2]=>[1,4,3,6,5,2]
[{3},{1},{6},{2},{5},{4}]=>[3,1,6,2,5,4]=>[1,3,6,4,2,5]=>[1,4,3,6,2,5]
[{4},{1},{3},{2},{5},{6}]=>[4,1,3,2,5,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{4},{1},{3},{2},{6},{5}]=>[4,1,3,2,6,5]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{5},{1},{3},{2},{4},{6}]=>[5,1,3,2,4,6]=>[1,5,4,2,3,6]=>[1,4,2,5,3,6]
[{6},{1},{3},{2},{4},{5}]=>[6,1,3,2,4,5]=>[1,6,5,4,2,3]=>[1,4,2,5,6,3]
[{5},{1},{3},{2},{6},{4}]=>[5,1,3,2,6,4]=>[1,5,6,4,2,3]=>[1,4,2,6,5,3]
[{6},{1},{3},{2},{5},{4}]=>[6,1,3,2,5,4]=>[1,6,4,2,3,5]=>[1,4,2,6,3,5]
[{4},{1},{5},{2},{3},{6}]=>[4,1,5,2,3,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{4},{1},{6},{2},{3},{5}]=>[4,1,6,2,3,5]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]
[{5},{1},{4},{2},{3},{6}]=>[5,1,4,2,3,6]=>[1,5,3,4,2,6]=>[1,4,5,3,2,6]
[{6},{1},{4},{2},{3},{5}]=>[6,1,4,2,3,5]=>[1,6,5,3,4,2]=>[1,4,5,3,6,2]
[{5},{1},{6},{2},{3},{4}]=>[5,1,6,2,3,4]=>[1,5,3,6,4,2]=>[1,4,6,5,2,3]
[{6},{1},{5},{2},{3},{4}]=>[6,1,5,2,3,4]=>[1,6,4,2,3,5]=>[1,4,2,6,3,5]
[{4},{1},{5},{2},{6},{3}]=>[4,1,5,2,6,3]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{4},{1},{6},{2},{5},{3}]=>[4,1,6,2,5,3]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]
[{5},{1},{4},{2},{6},{3}]=>[5,1,4,2,6,3]=>[1,5,6,3,4,2]=>[1,4,6,3,5,2]
[{6},{1},{4},{2},{5},{3}]=>[6,1,4,2,5,3]=>[1,6,3,4,2,5]=>[1,4,6,3,2,5]
[{5},{1},{6},{2},{4},{3}]=>[5,1,6,2,4,3]=>[1,5,4,2,3,6]=>[1,4,2,5,3,6]
[{6},{1},{5},{2},{4},{3}]=>[6,1,5,2,4,3]=>[1,6,3,5,4,2]=>[1,4,5,6,2,3]
[{3},{1},{4},{5},{2},{6}]=>[3,1,4,5,2,6]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]
[{3},{1},{4},{6},{2},{5}]=>[3,1,4,6,2,5]=>[1,3,4,6,5,2]=>[1,5,3,4,6,2]
[{3},{1},{5},{4},{2},{6}]=>[3,1,5,4,2,6]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[{3},{1},{6},{4},{2},{5}]=>[3,1,6,4,2,5]=>[1,3,6,5,2,4]=>[1,5,3,2,6,4]
[{3},{1},{5},{6},{2},{4}]=>[3,1,5,6,2,4]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[{3},{1},{6},{5},{2},{4}]=>[3,1,6,5,2,4]=>[1,3,6,4,5,2]=>[1,5,3,6,4,2]
[{4},{1},{3},{5},{2},{6}]=>[4,1,3,5,2,6]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]
[{4},{1},{3},{6},{2},{5}]=>[4,1,3,6,2,5]=>[1,4,6,5,2,3]=>[1,5,2,4,6,3]
[{5},{1},{3},{4},{2},{6}]=>[5,1,3,4,2,6]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{1},{3},{4},{2},{5}]=>[6,1,3,4,2,5]=>[1,6,5,2,3,4]=>[1,5,2,3,6,4]
[{5},{1},{3},{6},{2},{4}]=>[5,1,3,6,2,4]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{1},{3},{5},{2},{4}]=>[6,1,3,5,2,4]=>[1,6,4,5,2,3]=>[1,5,2,6,4,3]
[{4},{1},{5},{3},{2},{6}]=>[4,1,5,3,2,6]=>[1,4,3,5,2,6]=>[1,5,4,3,2,6]
[{4},{1},{6},{3},{2},{5}]=>[4,1,6,3,2,5]=>[1,4,3,6,5,2]=>[1,5,4,3,6,2]
[{5},{1},{4},{3},{2},{6}]=>[5,1,4,3,2,6]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{1},{4},{3},{2},{5}]=>[6,1,4,3,2,5]=>[1,6,5,2,3,4]=>[1,5,2,3,6,4]
[{5},{1},{6},{3},{2},{4}]=>[5,1,6,3,2,4]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]
[{6},{1},{5},{3},{2},{4}]=>[6,1,5,3,2,4]=>[1,6,4,3,5,2]=>[1,5,4,6,3,2]
[{4},{1},{5},{6},{2},{3}]=>[4,1,5,6,2,3]=>[1,4,6,3,5,2]=>[1,5,6,4,3,2]
[{4},{1},{6},{5},{2},{3}]=>[4,1,6,5,2,3]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]
[{5},{1},{4},{6},{2},{3}]=>[5,1,4,6,2,3]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{1},{4},{5},{2},{3}]=>[6,1,4,5,2,3]=>[1,6,3,4,5,2]=>[1,5,6,3,4,2]
[{5},{1},{6},{4},{2},{3}]=>[5,1,6,4,2,3]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]
[{6},{1},{5},{4},{2},{3}]=>[6,1,5,4,2,3]=>[1,6,3,5,2,4]=>[1,5,6,2,3,4]
[{3},{1},{4},{5},{6},{2}]=>[3,1,4,5,6,2]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2]
[{3},{1},{4},{6},{5},{2}]=>[3,1,4,6,5,2]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]
[{3},{1},{5},{4},{6},{2}]=>[3,1,5,4,6,2]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]
[{3},{1},{6},{4},{5},{2}]=>[3,1,6,4,5,2]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]
[{3},{1},{5},{6},{4},{2}]=>[3,1,5,6,4,2]=>[1,3,5,4,6,2]=>[1,6,3,5,4,2]
[{3},{1},{6},{5},{4},{2}]=>[3,1,6,5,4,2]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]
[{4},{1},{3},{5},{6},{2}]=>[4,1,3,5,6,2]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]
[{4},{1},{3},{6},{5},{2}]=>[4,1,3,6,5,2]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]
[{5},{1},{3},{4},{6},{2}]=>[5,1,3,4,6,2]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]
[{6},{1},{3},{4},{5},{2}]=>[6,1,3,4,5,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[{5},{1},{3},{6},{4},{2}]=>[5,1,3,6,4,2]=>[1,5,4,6,2,3]=>[1,6,2,5,4,3]
[{6},{1},{3},{5},{4},{2}]=>[6,1,3,5,4,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[{4},{1},{5},{3},{6},{2}]=>[4,1,5,3,6,2]=>[1,4,3,5,6,2]=>[1,6,4,3,5,2]
[{4},{1},{6},{3},{5},{2}]=>[4,1,6,3,5,2]=>[1,4,3,6,2,5]=>[1,6,4,3,2,5]
[{5},{1},{4},{3},{6},{2}]=>[5,1,4,3,6,2]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]
[{6},{1},{4},{3},{5},{2}]=>[6,1,4,3,5,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[{5},{1},{6},{3},{4},{2}]=>[5,1,6,3,4,2]=>[1,5,4,3,6,2]=>[1,6,4,5,3,2]
[{6},{1},{5},{3},{4},{2}]=>[6,1,5,3,4,2]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]
[{4},{1},{5},{6},{3},{2}]=>[4,1,5,6,3,2]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]
[{4},{1},{6},{5},{3},{2}]=>[4,1,6,5,3,2]=>[1,4,5,3,6,2]=>[1,6,5,4,3,2]
[{5},{1},{4},{6},{3},{2}]=>[5,1,4,6,3,2]=>[1,5,3,4,6,2]=>[1,6,5,3,4,2]
[{6},{1},{4},{5},{3},{2}]=>[6,1,4,5,3,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[{5},{1},{6},{4},{3},{2}]=>[5,1,6,4,3,2]=>[1,5,3,6,2,4]=>[1,6,5,2,3,4]
[{6},{1},{5},{4},{3},{2}]=>[6,1,5,4,3,2]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]
[{2},{3},{1},{4},{5},{6}]=>[2,3,1,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{3},{1},{4},{6},{5}]=>[2,3,1,4,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{3},{1},{5},{4},{6}]=>[2,3,1,5,4,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{3},{1},{6},{4},{5}]=>[2,3,1,6,4,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{2},{3},{1},{5},{6},{4}]=>[2,3,1,5,6,4]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{3},{1},{6},{5},{4}]=>[2,3,1,6,5,4]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{2},{4},{1},{3},{5},{6}]=>[2,4,1,3,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2},{4},{1},{3},{6},{5}]=>[2,4,1,3,6,5]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2},{5},{1},{3},{4},{6}]=>[2,5,1,3,4,6]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{2},{6},{1},{3},{4},{5}]=>[2,6,1,3,4,5]=>[1,2,6,5,4,3]=>[1,2,4,5,6,3]
[{2},{5},{1},{3},{6},{4}]=>[2,5,1,3,6,4]=>[1,2,5,6,4,3]=>[1,2,4,6,5,3]
[{2},{6},{1},{3},{5},{4}]=>[2,6,1,3,5,4]=>[1,2,6,4,3,5]=>[1,2,4,6,3,5]
[{2},{4},{1},{5},{3},{6}]=>[2,4,1,5,3,6]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]
[{2},{4},{1},{6},{3},{5}]=>[2,4,1,6,3,5]=>[1,2,4,6,5,3]=>[1,2,5,4,6,3]
[{2},{5},{1},{4},{3},{6}]=>[2,5,1,4,3,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{2},{6},{1},{4},{3},{5}]=>[2,6,1,4,3,5]=>[1,2,6,5,3,4]=>[1,2,5,3,6,4]
[{2},{5},{1},{6},{3},{4}]=>[2,5,1,6,3,4]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{2},{6},{1},{5},{3},{4}]=>[2,6,1,5,3,4]=>[1,2,6,4,5,3]=>[1,2,5,6,4,3]
[{2},{4},{1},{5},{6},{3}]=>[2,4,1,5,6,3]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]
[{2},{4},{1},{6},{5},{3}]=>[2,4,1,6,5,3]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]
[{2},{5},{1},{4},{6},{3}]=>[2,5,1,4,6,3]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]
[{2},{6},{1},{4},{5},{3}]=>[2,6,1,4,5,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{2},{5},{1},{6},{4},{3}]=>[2,5,1,6,4,3]=>[1,2,5,4,6,3]=>[1,2,6,5,4,3]
[{2},{6},{1},{5},{4},{3}]=>[2,6,1,5,4,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{3},{2},{1},{4},{5},{6}]=>[3,2,1,4,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{2},{1},{4},{6},{5}]=>[3,2,1,4,6,5]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{2},{1},{5},{4},{6}]=>[3,2,1,5,4,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{2},{1},{6},{4},{5}]=>[3,2,1,6,4,5]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]
[{3},{2},{1},{5},{6},{4}]=>[3,2,1,5,6,4]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{2},{1},{6},{5},{4}]=>[3,2,1,6,5,4]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]
[{4},{2},{1},{3},{5},{6}]=>[4,2,1,3,5,6]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]
[{4},{2},{1},{3},{6},{5}]=>[4,2,1,3,6,5]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]
[{5},{2},{1},{3},{4},{6}]=>[5,2,1,3,4,6]=>[1,5,4,3,2,6]=>[1,3,4,5,2,6]
[{6},{2},{1},{3},{4},{5}]=>[6,2,1,3,4,5]=>[1,6,5,4,3,2]=>[1,3,4,5,6,2]
[{5},{2},{1},{3},{6},{4}]=>[5,2,1,3,6,4]=>[1,5,6,4,3,2]=>[1,3,4,6,5,2]
[{6},{2},{1},{3},{5},{4}]=>[6,2,1,3,5,4]=>[1,6,4,3,2,5]=>[1,3,4,6,2,5]
[{4},{2},{1},{5},{3},{6}]=>[4,2,1,5,3,6]=>[1,4,5,3,2,6]=>[1,3,5,4,2,6]
[{4},{2},{1},{6},{3},{5}]=>[4,2,1,6,3,5]=>[1,4,6,5,3,2]=>[1,3,5,4,6,2]
[{5},{2},{1},{4},{3},{6}]=>[5,2,1,4,3,6]=>[1,5,3,2,4,6]=>[1,3,5,2,4,6]
[{6},{2},{1},{4},{3},{5}]=>[6,2,1,4,3,5]=>[1,6,5,3,2,4]=>[1,3,5,2,6,4]
[{5},{2},{1},{6},{3},{4}]=>[5,2,1,6,3,4]=>[1,5,3,2,4,6]=>[1,3,5,2,4,6]
[{6},{2},{1},{5},{3},{4}]=>[6,2,1,5,3,4]=>[1,6,4,5,3,2]=>[1,3,5,6,4,2]
[{4},{2},{1},{5},{6},{3}]=>[4,2,1,5,6,3]=>[1,4,5,6,3,2]=>[1,3,6,4,5,2]
[{4},{2},{1},{6},{5},{3}]=>[4,2,1,6,5,3]=>[1,4,6,3,2,5]=>[1,3,6,4,2,5]
[{5},{2},{1},{4},{6},{3}]=>[5,2,1,4,6,3]=>[1,5,6,3,2,4]=>[1,3,6,2,5,4]
[{6},{2},{1},{4},{5},{3}]=>[6,2,1,4,5,3]=>[1,6,3,2,4,5]=>[1,3,6,2,4,5]
[{5},{2},{1},{6},{4},{3}]=>[5,2,1,6,4,3]=>[1,5,4,6,3,2]=>[1,3,6,5,4,2]
[{6},{2},{1},{5},{4},{3}]=>[6,2,1,5,4,3]=>[1,6,3,2,4,5]=>[1,3,6,2,4,5]
[{3},{4},{1},{2},{5},{6}]=>[3,4,1,2,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{4},{1},{2},{6},{5}]=>[3,4,1,2,6,5]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{5},{1},{2},{4},{6}]=>[3,5,1,2,4,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]
[{3},{6},{1},{2},{4},{5}]=>[3,6,1,2,4,5]=>[1,3,2,6,5,4]=>[1,3,2,5,6,4]
[{3},{5},{1},{2},{6},{4}]=>[3,5,1,2,6,4]=>[1,3,2,5,6,4]=>[1,3,2,6,5,4]
[{3},{6},{1},{2},{5},{4}]=>[3,6,1,2,5,4]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]
[{4},{3},{1},{2},{5},{6}]=>[4,3,1,2,5,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{4},{3},{1},{2},{6},{5}]=>[4,3,1,2,6,5]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{5},{3},{1},{2},{4},{6}]=>[5,3,1,2,4,6]=>[1,5,4,2,3,6]=>[1,4,2,5,3,6]
[{6},{3},{1},{2},{4},{5}]=>[6,3,1,2,4,5]=>[1,6,5,4,2,3]=>[1,4,2,5,6,3]
[{5},{3},{1},{2},{6},{4}]=>[5,3,1,2,6,4]=>[1,5,6,4,2,3]=>[1,4,2,6,5,3]
[{6},{3},{1},{2},{5},{4}]=>[6,3,1,2,5,4]=>[1,6,4,2,3,5]=>[1,4,2,6,3,5]
[{4},{5},{1},{2},{3},{6}]=>[4,5,1,2,3,6]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{4},{6},{1},{2},{3},{5}]=>[4,6,1,2,3,5]=>[1,4,2,6,5,3]=>[1,4,5,2,6,3]
[{5},{4},{1},{2},{3},{6}]=>[5,4,1,2,3,6]=>[1,5,3,2,4,6]=>[1,3,5,2,4,6]
[{6},{4},{1},{2},{3},{5}]=>[6,4,1,2,3,5]=>[1,6,5,3,2,4]=>[1,3,5,2,6,4]
[{5},{6},{1},{2},{3},{4}]=>[5,6,1,2,3,4]=>[1,5,3,2,6,4]=>[1,3,5,6,2,4]
[{6},{5},{1},{2},{3},{4}]=>[6,5,1,2,3,4]=>[1,6,4,2,5,3]=>[1,4,6,5,3,2]
[{4},{5},{1},{2},{6},{3}]=>[4,5,1,2,6,3]=>[1,4,2,5,6,3]=>[1,4,6,2,5,3]
[{4},{6},{1},{2},{5},{3}]=>[4,6,1,2,5,3]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]
[{5},{4},{1},{2},{6},{3}]=>[5,4,1,2,6,3]=>[1,5,6,3,2,4]=>[1,3,6,2,5,4]
[{6},{4},{1},{2},{5},{3}]=>[6,4,1,2,5,3]=>[1,6,3,2,4,5]=>[1,3,6,2,4,5]
[{5},{6},{1},{2},{4},{3}]=>[5,6,1,2,4,3]=>[1,5,4,2,6,3]=>[1,4,5,6,3,2]
[{6},{5},{1},{2},{4},{3}]=>[6,5,1,2,4,3]=>[1,6,3,2,5,4]=>[1,3,6,5,2,4]
[{3},{4},{1},{5},{2},{6}]=>[3,4,1,5,2,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{4},{1},{6},{2},{5}]=>[3,4,1,6,2,5]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]
[{3},{5},{1},{4},{2},{6}]=>[3,5,1,4,2,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]
[{3},{6},{1},{4},{2},{5}]=>[3,6,1,4,2,5]=>[1,3,2,6,5,4]=>[1,3,2,5,6,4]
[{3},{5},{1},{6},{2},{4}]=>[3,5,1,6,2,4]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]
[{3},{6},{1},{5},{2},{4}]=>[3,6,1,5,2,4]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]
[{4},{3},{1},{5},{2},{6}]=>[4,3,1,5,2,6]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]
[{4},{3},{1},{6},{2},{5}]=>[4,3,1,6,2,5]=>[1,4,6,5,2,3]=>[1,5,2,4,6,3]
[{5},{3},{1},{4},{2},{6}]=>[5,3,1,4,2,6]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{3},{1},{4},{2},{5}]=>[6,3,1,4,2,5]=>[1,6,5,2,3,4]=>[1,5,2,3,6,4]
[{5},{3},{1},{6},{2},{4}]=>[5,3,1,6,2,4]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{3},{1},{5},{2},{4}]=>[6,3,1,5,2,4]=>[1,6,4,5,2,3]=>[1,5,2,6,4,3]
[{4},{5},{1},{3},{2},{6}]=>[4,5,1,3,2,6]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]
[{4},{6},{1},{3},{2},{5}]=>[4,6,1,3,2,5]=>[1,4,3,2,6,5]=>[1,3,4,2,6,5]
[{5},{4},{1},{3},{2},{6}]=>[5,4,1,3,2,6]=>[1,5,2,4,3,6]=>[1,5,4,2,3,6]
[{6},{4},{1},{3},{2},{5}]=>[6,4,1,3,2,5]=>[1,6,5,2,4,3]=>[1,5,4,2,6,3]
[{5},{6},{1},{3},{2},{4}]=>[5,6,1,3,2,4]=>[1,5,2,6,4,3]=>[1,5,4,6,2,3]
[{6},{5},{1},{3},{2},{4}]=>[6,5,1,3,2,4]=>[1,6,4,3,2,5]=>[1,3,4,6,2,5]
[{4},{5},{1},{6},{2},{3}]=>[4,5,1,6,2,3]=>[1,4,6,3,2,5]=>[1,3,6,4,2,5]
[{4},{6},{1},{5},{2},{3}]=>[4,6,1,5,2,3]=>[1,4,5,2,6,3]=>[1,5,6,4,2,3]
[{5},{4},{1},{6},{2},{3}]=>[5,4,1,6,2,3]=>[1,5,2,4,6,3]=>[1,5,6,2,4,3]
[{6},{4},{1},{5},{2},{3}]=>[6,4,1,5,2,3]=>[1,6,3,2,4,5]=>[1,3,6,2,4,5]
[{5},{6},{1},{4},{2},{3}]=>[5,6,1,4,2,3]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]
[{6},{5},{1},{4},{2},{3}]=>[6,5,1,4,2,3]=>[1,6,3,2,5,4]=>[1,3,6,5,2,4]
[{3},{4},{1},{5},{6},{2}]=>[3,4,1,5,6,2]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{4},{1},{6},{5},{2}]=>[3,4,1,6,5,2]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]
[{3},{5},{1},{4},{6},{2}]=>[3,5,1,4,6,2]=>[1,3,2,5,6,4]=>[1,3,2,6,5,4]
[{3},{6},{1},{4},{5},{2}]=>[3,6,1,4,5,2]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]
[{3},{5},{1},{6},{4},{2}]=>[3,5,1,6,4,2]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]
[{3},{6},{1},{5},{4},{2}]=>[3,6,1,5,4,2]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]
[{4},{3},{1},{5},{6},{2}]=>[4,3,1,5,6,2]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]
[{4},{3},{1},{6},{5},{2}]=>[4,3,1,6,5,2]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]
[{5},{3},{1},{4},{6},{2}]=>[5,3,1,4,6,2]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]
[{6},{3},{1},{4},{5},{2}]=>[6,3,1,4,5,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[{5},{3},{1},{6},{4},{2}]=>[5,3,1,6,4,2]=>[1,5,4,6,2,3]=>[1,6,2,5,4,3]
[{6},{3},{1},{5},{4},{2}]=>[6,3,1,5,4,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[{4},{5},{1},{3},{6},{2}]=>[4,5,1,3,6,2]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]
[{4},{6},{1},{3},{5},{2}]=>[4,6,1,3,5,2]=>[1,4,3,2,6,5]=>[1,3,4,2,6,5]
[{5},{4},{1},{3},{6},{2}]=>[5,4,1,3,6,2]=>[1,5,6,2,4,3]=>[1,6,4,2,5,3]
[{6},{4},{1},{3},{5},{2}]=>[6,4,1,3,5,2]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]
[{5},{6},{1},{3},{4},{2}]=>[5,6,1,3,4,2]=>[1,5,4,3,2,6]=>[1,3,4,5,2,6]
[{6},{5},{1},{3},{4},{2}]=>[6,5,1,3,4,2]=>[1,6,2,5,4,3]=>[1,6,4,5,2,3]
[{4},{5},{1},{6},{3},{2}]=>[4,5,1,6,3,2]=>[1,4,6,2,5,3]=>[1,6,5,4,2,3]
[{4},{6},{1},{5},{3},{2}]=>[4,6,1,5,3,2]=>[1,4,5,3,2,6]=>[1,3,5,4,2,6]
[{5},{4},{1},{6},{3},{2}]=>[5,4,1,6,3,2]=>[1,5,3,2,4,6]=>[1,3,5,2,4,6]
[{6},{4},{1},{5},{3},{2}]=>[6,4,1,5,3,2]=>[1,6,2,4,5,3]=>[1,6,5,2,4,3]
[{5},{6},{1},{4},{3},{2}]=>[5,6,1,4,3,2]=>[1,5,3,2,6,4]=>[1,3,5,6,2,4]
[{6},{5},{1},{4},{3},{2}]=>[6,5,1,4,3,2]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]
[{2},{3},{4},{1},{5},{6}]=>[2,3,4,1,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{3},{4},{1},{6},{5}]=>[2,3,4,1,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{3},{5},{1},{4},{6}]=>[2,3,5,1,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{2},{3},{6},{1},{4},{5}]=>[2,3,6,1,4,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{2},{3},{5},{1},{6},{4}]=>[2,3,5,1,6,4]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]
[{2},{3},{6},{1},{5},{4}]=>[2,3,6,1,5,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{2},{4},{3},{1},{5},{6}]=>[2,4,3,1,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2},{4},{3},{1},{6},{5}]=>[2,4,3,1,6,5]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2},{5},{3},{1},{4},{6}]=>[2,5,3,1,4,6]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{2},{6},{3},{1},{4},{5}]=>[2,6,3,1,4,5]=>[1,2,6,5,4,3]=>[1,2,4,5,6,3]
[{2},{5},{3},{1},{6},{4}]=>[2,5,3,1,6,4]=>[1,2,5,6,4,3]=>[1,2,4,6,5,3]
[{2},{6},{3},{1},{5},{4}]=>[2,6,3,1,5,4]=>[1,2,6,4,3,5]=>[1,2,4,6,3,5]
[{2},{4},{5},{1},{3},{6}]=>[2,4,5,1,3,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2},{4},{6},{1},{3},{5}]=>[2,4,6,1,3,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{2},{5},{4},{1},{3},{6}]=>[2,5,4,1,3,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{2},{6},{4},{1},{3},{5}]=>[2,6,4,1,3,5]=>[1,2,6,5,3,4]=>[1,2,5,3,6,4]
[{2},{5},{6},{1},{3},{4}]=>[2,5,6,1,3,4]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[{2},{6},{5},{1},{3},{4}]=>[2,6,5,1,3,4]=>[1,2,6,4,3,5]=>[1,2,4,6,3,5]
[{2},{4},{5},{1},{6},{3}]=>[2,4,5,1,6,3]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2},{4},{6},{1},{5},{3}]=>[2,4,6,1,5,3]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{2},{5},{4},{1},{6},{3}]=>[2,5,4,1,6,3]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]
[{2},{6},{4},{1},{5},{3}]=>[2,6,4,1,5,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{2},{5},{6},{1},{4},{3}]=>[2,5,6,1,4,3]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{2},{6},{5},{1},{4},{3}]=>[2,6,5,1,4,3]=>[1,2,6,3,5,4]=>[1,2,6,5,3,4]
[{3},{2},{4},{1},{5},{6}]=>[3,2,4,1,5,6]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]
[{3},{2},{4},{1},{6},{5}]=>[3,2,4,1,6,5]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]
[{3},{2},{5},{1},{4},{6}]=>[3,2,5,1,4,6]=>[1,3,5,4,2,6]=>[1,4,3,5,2,6]
[{3},{2},{6},{1},{4},{5}]=>[3,2,6,1,4,5]=>[1,3,6,5,4,2]=>[1,4,3,5,6,2]
[{3},{2},{5},{1},{6},{4}]=>[3,2,5,1,6,4]=>[1,3,5,6,4,2]=>[1,4,3,6,5,2]
[{3},{2},{6},{1},{5},{4}]=>[3,2,6,1,5,4]=>[1,3,6,4,2,5]=>[1,4,3,6,2,5]
[{4},{2},{3},{1},{5},{6}]=>[4,2,3,1,5,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{4},{2},{3},{1},{6},{5}]=>[4,2,3,1,6,5]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{5},{2},{3},{1},{4},{6}]=>[5,2,3,1,4,6]=>[1,5,4,2,3,6]=>[1,4,2,5,3,6]
[{6},{2},{3},{1},{4},{5}]=>[6,2,3,1,4,5]=>[1,6,5,4,2,3]=>[1,4,2,5,6,3]
[{5},{2},{3},{1},{6},{4}]=>[5,2,3,1,6,4]=>[1,5,6,4,2,3]=>[1,4,2,6,5,3]
[{6},{2},{3},{1},{5},{4}]=>[6,2,3,1,5,4]=>[1,6,4,2,3,5]=>[1,4,2,6,3,5]
[{4},{2},{5},{1},{3},{6}]=>[4,2,5,1,3,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{4},{2},{6},{1},{3},{5}]=>[4,2,6,1,3,5]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]
[{5},{2},{4},{1},{3},{6}]=>[5,2,4,1,3,6]=>[1,5,3,4,2,6]=>[1,4,5,3,2,6]
[{6},{2},{4},{1},{3},{5}]=>[6,2,4,1,3,5]=>[1,6,5,3,4,2]=>[1,4,5,3,6,2]
[{5},{2},{6},{1},{3},{4}]=>[5,2,6,1,3,4]=>[1,5,3,6,4,2]=>[1,4,6,5,2,3]
[{6},{2},{5},{1},{3},{4}]=>[6,2,5,1,3,4]=>[1,6,4,2,3,5]=>[1,4,2,6,3,5]
[{4},{2},{5},{1},{6},{3}]=>[4,2,5,1,6,3]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{4},{2},{6},{1},{5},{3}]=>[4,2,6,1,5,3]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]
[{5},{2},{4},{1},{6},{3}]=>[5,2,4,1,6,3]=>[1,5,6,3,4,2]=>[1,4,6,3,5,2]
[{6},{2},{4},{1},{5},{3}]=>[6,2,4,1,5,3]=>[1,6,3,4,2,5]=>[1,4,6,3,2,5]
[{5},{2},{6},{1},{4},{3}]=>[5,2,6,1,4,3]=>[1,5,4,2,3,6]=>[1,4,2,5,3,6]
[{6},{2},{5},{1},{4},{3}]=>[6,2,5,1,4,3]=>[1,6,3,5,4,2]=>[1,4,5,6,2,3]
[{3},{4},{2},{1},{5},{6}]=>[3,4,2,1,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{4},{2},{1},{6},{5}]=>[3,4,2,1,6,5]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{5},{2},{1},{4},{6}]=>[3,5,2,1,4,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]
[{3},{6},{2},{1},{4},{5}]=>[3,6,2,1,4,5]=>[1,3,2,6,5,4]=>[1,3,2,5,6,4]
[{3},{5},{2},{1},{6},{4}]=>[3,5,2,1,6,4]=>[1,3,2,5,6,4]=>[1,3,2,6,5,4]
[{3},{6},{2},{1},{5},{4}]=>[3,6,2,1,5,4]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]
[{4},{3},{2},{1},{5},{6}]=>[4,3,2,1,5,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{4},{3},{2},{1},{6},{5}]=>[4,3,2,1,6,5]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{5},{3},{2},{1},{4},{6}]=>[5,3,2,1,4,6]=>[1,5,4,2,3,6]=>[1,4,2,5,3,6]
[{6},{3},{2},{1},{4},{5}]=>[6,3,2,1,4,5]=>[1,6,5,4,2,3]=>[1,4,2,5,6,3]
[{5},{3},{2},{1},{6},{4}]=>[5,3,2,1,6,4]=>[1,5,6,4,2,3]=>[1,4,2,6,5,3]
[{6},{3},{2},{1},{5},{4}]=>[6,3,2,1,5,4]=>[1,6,4,2,3,5]=>[1,4,2,6,3,5]
[{4},{5},{2},{1},{3},{6}]=>[4,5,2,1,3,6]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{4},{6},{2},{1},{3},{5}]=>[4,6,2,1,3,5]=>[1,4,2,6,5,3]=>[1,4,5,2,6,3]
[{5},{4},{2},{1},{3},{6}]=>[5,4,2,1,3,6]=>[1,5,3,2,4,6]=>[1,3,5,2,4,6]
[{6},{4},{2},{1},{3},{5}]=>[6,4,2,1,3,5]=>[1,6,5,3,2,4]=>[1,3,5,2,6,4]
[{5},{6},{2},{1},{3},{4}]=>[5,6,2,1,3,4]=>[1,5,3,2,6,4]=>[1,3,5,6,2,4]
[{6},{5},{2},{1},{3},{4}]=>[6,5,2,1,3,4]=>[1,6,4,2,5,3]=>[1,4,6,5,3,2]
[{4},{5},{2},{1},{6},{3}]=>[4,5,2,1,6,3]=>[1,4,2,5,6,3]=>[1,4,6,2,5,3]
[{4},{6},{2},{1},{5},{3}]=>[4,6,2,1,5,3]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]
[{5},{4},{2},{1},{6},{3}]=>[5,4,2,1,6,3]=>[1,5,6,3,2,4]=>[1,3,6,2,5,4]
[{6},{4},{2},{1},{5},{3}]=>[6,4,2,1,5,3]=>[1,6,3,2,4,5]=>[1,3,6,2,4,5]
[{5},{6},{2},{1},{4},{3}]=>[5,6,2,1,4,3]=>[1,5,4,2,6,3]=>[1,4,5,6,3,2]
[{6},{5},{2},{1},{4},{3}]=>[6,5,2,1,4,3]=>[1,6,3,2,5,4]=>[1,3,6,5,2,4]
[{3},{4},{5},{1},{2},{6}]=>[3,4,5,1,2,6]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[{3},{4},{6},{1},{2},{5}]=>[3,4,6,1,2,5]=>[1,3,6,5,2,4]=>[1,5,3,2,6,4]
[{3},{5},{4},{1},{2},{6}]=>[3,5,4,1,2,6]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]
[{3},{6},{4},{1},{2},{5}]=>[3,6,4,1,2,5]=>[1,3,4,2,6,5]=>[1,4,3,2,6,5]
[{3},{5},{6},{1},{2},{4}]=>[3,5,6,1,2,4]=>[1,3,6,4,2,5]=>[1,4,3,6,2,5]
[{3},{6},{5},{1},{2},{4}]=>[3,6,5,1,2,4]=>[1,3,5,2,6,4]=>[1,5,3,6,2,4]
[{4},{3},{5},{1},{2},{6}]=>[4,3,5,1,2,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{4},{3},{6},{1},{2},{5}]=>[4,3,6,1,2,5]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]
[{5},{3},{4},{1},{2},{6}]=>[5,3,4,1,2,6]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{3},{4},{1},{2},{5}]=>[6,3,4,1,2,5]=>[1,6,5,2,3,4]=>[1,5,2,3,6,4]
[{5},{3},{6},{1},{2},{4}]=>[5,3,6,1,2,4]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]
[{6},{3},{5},{1},{2},{4}]=>[6,3,5,1,2,4]=>[1,6,4,2,3,5]=>[1,4,2,6,3,5]
[{4},{5},{3},{1},{2},{6}]=>[4,5,3,1,2,6]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{4},{6},{3},{1},{2},{5}]=>[4,6,3,1,2,5]=>[1,4,2,6,5,3]=>[1,4,5,2,6,3]
[{5},{4},{3},{1},{2},{6}]=>[5,4,3,1,2,6]=>[1,5,2,4,3,6]=>[1,5,4,2,3,6]
[{6},{4},{3},{1},{2},{5}]=>[6,4,3,1,2,5]=>[1,6,5,2,4,3]=>[1,5,4,2,6,3]
[{5},{6},{3},{1},{2},{4}]=>[5,6,3,1,2,4]=>[1,5,2,6,4,3]=>[1,5,4,6,2,3]
[{6},{5},{3},{1},{2},{4}]=>[6,5,3,1,2,4]=>[1,6,4,2,5,3]=>[1,4,6,5,3,2]
[{4},{5},{6},{1},{2},{3}]=>[4,5,6,1,2,3]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{4},{6},{5},{1},{2},{3}]=>[4,6,5,1,2,3]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]
[{5},{4},{6},{1},{2},{3}]=>[5,4,6,1,2,3]=>[1,5,2,4,3,6]=>[1,5,4,2,3,6]
[{6},{4},{5},{1},{2},{3}]=>[6,4,5,1,2,3]=>[1,6,3,5,2,4]=>[1,5,6,2,3,4]
[{5},{6},{4},{1},{2},{3}]=>[5,6,4,1,2,3]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]
[{6},{5},{4},{1},{2},{3}]=>[6,5,4,1,2,3]=>[1,6,3,4,2,5]=>[1,4,6,3,2,5]
[{3},{4},{5},{1},{6},{2}]=>[3,4,5,1,6,2]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]
[{3},{4},{6},{1},{5},{2}]=>[3,4,6,1,5,2]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]
[{3},{5},{4},{1},{6},{2}]=>[3,5,4,1,6,2]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]
[{3},{6},{4},{1},{5},{2}]=>[3,6,4,1,5,2]=>[1,3,4,2,6,5]=>[1,4,3,2,6,5]
[{3},{5},{6},{1},{4},{2}]=>[3,5,6,1,4,2]=>[1,3,6,2,5,4]=>[1,6,3,5,2,4]
[{3},{6},{5},{1},{4},{2}]=>[3,6,5,1,4,2]=>[1,3,5,4,2,6]=>[1,4,3,5,2,6]
[{4},{3},{5},{1},{6},{2}]=>[4,3,5,1,6,2]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{4},{3},{6},{1},{5},{2}]=>[4,3,6,1,5,2]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]
[{5},{3},{4},{1},{6},{2}]=>[5,3,4,1,6,2]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]
[{6},{3},{4},{1},{5},{2}]=>[6,3,4,1,5,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[{5},{3},{6},{1},{4},{2}]=>[5,3,6,1,4,2]=>[1,5,4,2,3,6]=>[1,4,2,5,3,6]
[{6},{3},{5},{1},{4},{2}]=>[6,3,5,1,4,2]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]
[{4},{5},{3},{1},{6},{2}]=>[4,5,3,1,6,2]=>[1,4,2,5,6,3]=>[1,4,6,2,5,3]
[{4},{6},{3},{1},{5},{2}]=>[4,6,3,1,5,2]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]
[{5},{4},{3},{1},{6},{2}]=>[5,4,3,1,6,2]=>[1,5,6,2,4,3]=>[1,6,4,2,5,3]
[{6},{4},{3},{1},{5},{2}]=>[6,4,3,1,5,2]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]
[{5},{6},{3},{1},{4},{2}]=>[5,6,3,1,4,2]=>[1,5,4,2,6,3]=>[1,4,5,6,3,2]
[{6},{5},{3},{1},{4},{2}]=>[6,5,3,1,4,2]=>[1,6,2,5,4,3]=>[1,6,4,5,2,3]
[{4},{5},{6},{1},{3},{2}]=>[4,5,6,1,3,2]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{4},{6},{5},{1},{3},{2}]=>[4,6,5,1,3,2]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]
[{5},{4},{6},{1},{3},{2}]=>[5,4,6,1,3,2]=>[1,5,3,6,2,4]=>[1,6,5,2,3,4]
[{6},{4},{5},{1},{3},{2}]=>[6,4,5,1,3,2]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]
[{5},{6},{4},{1},{3},{2}]=>[5,6,4,1,3,2]=>[1,5,3,4,2,6]=>[1,4,5,3,2,6]
[{6},{5},{4},{1},{3},{2}]=>[6,5,4,1,3,2]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]
[{2},{3},{4},{5},{1},{6}]=>[2,3,4,5,1,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{3},{4},{6},{1},{5}]=>[2,3,4,6,1,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{2},{3},{5},{4},{1},{6}]=>[2,3,5,4,1,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{2},{3},{6},{4},{1},{5}]=>[2,3,6,4,1,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{2},{3},{5},{6},{1},{4}]=>[2,3,5,6,1,4]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{2},{3},{6},{5},{1},{4}]=>[2,3,6,5,1,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{2},{4},{3},{5},{1},{6}]=>[2,4,3,5,1,6]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]
[{2},{4},{3},{6},{1},{5}]=>[2,4,3,6,1,5]=>[1,2,4,6,5,3]=>[1,2,5,4,6,3]
[{2},{5},{3},{4},{1},{6}]=>[2,5,3,4,1,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{2},{6},{3},{4},{1},{5}]=>[2,6,3,4,1,5]=>[1,2,6,5,3,4]=>[1,2,5,3,6,4]
[{2},{5},{3},{6},{1},{4}]=>[2,5,3,6,1,4]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{2},{6},{3},{5},{1},{4}]=>[2,6,3,5,1,4]=>[1,2,6,4,5,3]=>[1,2,5,6,4,3]
[{2},{4},{5},{3},{1},{6}]=>[2,4,5,3,1,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2},{4},{6},{3},{1},{5}]=>[2,4,6,3,1,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{2},{5},{4},{3},{1},{6}]=>[2,5,4,3,1,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{2},{6},{4},{3},{1},{5}]=>[2,6,4,3,1,5]=>[1,2,6,5,3,4]=>[1,2,5,3,6,4]
[{2},{5},{6},{3},{1},{4}]=>[2,5,6,3,1,4]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[{2},{6},{5},{3},{1},{4}]=>[2,6,5,3,1,4]=>[1,2,6,4,3,5]=>[1,2,4,6,3,5]
[{2},{4},{5},{6},{1},{3}]=>[2,4,5,6,1,3]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]
[{2},{4},{6},{5},{1},{3}]=>[2,4,6,5,1,3]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]
[{2},{5},{4},{6},{1},{3}]=>[2,5,4,6,1,3]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{2},{6},{4},{5},{1},{3}]=>[2,6,4,5,1,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{2},{5},{6},{4},{1},{3}]=>[2,5,6,4,1,3]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[{2},{6},{5},{4},{1},{3}]=>[2,6,5,4,1,3]=>[1,2,6,3,5,4]=>[1,2,6,5,3,4]
[{3},{2},{4},{5},{1},{6}]=>[3,2,4,5,1,6]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]
[{3},{2},{4},{6},{1},{5}]=>[3,2,4,6,1,5]=>[1,3,4,6,5,2]=>[1,5,3,4,6,2]
[{3},{2},{5},{4},{1},{6}]=>[3,2,5,4,1,6]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[{3},{2},{6},{4},{1},{5}]=>[3,2,6,4,1,5]=>[1,3,6,5,2,4]=>[1,5,3,2,6,4]
[{3},{2},{5},{6},{1},{4}]=>[3,2,5,6,1,4]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[{3},{2},{6},{5},{1},{4}]=>[3,2,6,5,1,4]=>[1,3,6,4,5,2]=>[1,5,3,6,4,2]
[{4},{2},{3},{5},{1},{6}]=>[4,2,3,5,1,6]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]
[{4},{2},{3},{6},{1},{5}]=>[4,2,3,6,1,5]=>[1,4,6,5,2,3]=>[1,5,2,4,6,3]
[{5},{2},{3},{4},{1},{6}]=>[5,2,3,4,1,6]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{2},{3},{4},{1},{5}]=>[6,2,3,4,1,5]=>[1,6,5,2,3,4]=>[1,5,2,3,6,4]
[{5},{2},{3},{6},{1},{4}]=>[5,2,3,6,1,4]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{2},{3},{5},{1},{4}]=>[6,2,3,5,1,4]=>[1,6,4,5,2,3]=>[1,5,2,6,4,3]
[{4},{2},{5},{3},{1},{6}]=>[4,2,5,3,1,6]=>[1,4,3,5,2,6]=>[1,5,4,3,2,6]
[{4},{2},{6},{3},{1},{5}]=>[4,2,6,3,1,5]=>[1,4,3,6,5,2]=>[1,5,4,3,6,2]
[{5},{2},{4},{3},{1},{6}]=>[5,2,4,3,1,6]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{2},{4},{3},{1},{5}]=>[6,2,4,3,1,5]=>[1,6,5,2,3,4]=>[1,5,2,3,6,4]
[{5},{2},{6},{3},{1},{4}]=>[5,2,6,3,1,4]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]
[{6},{2},{5},{3},{1},{4}]=>[6,2,5,3,1,4]=>[1,6,4,3,5,2]=>[1,5,4,6,3,2]
[{4},{2},{5},{6},{1},{3}]=>[4,2,5,6,1,3]=>[1,4,6,3,5,2]=>[1,5,6,4,3,2]
[{4},{2},{6},{5},{1},{3}]=>[4,2,6,5,1,3]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]
[{5},{2},{4},{6},{1},{3}]=>[5,2,4,6,1,3]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{2},{4},{5},{1},{3}]=>[6,2,4,5,1,3]=>[1,6,3,4,5,2]=>[1,5,6,3,4,2]
[{5},{2},{6},{4},{1},{3}]=>[5,2,6,4,1,3]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]
[{6},{2},{5},{4},{1},{3}]=>[6,2,5,4,1,3]=>[1,6,3,5,2,4]=>[1,5,6,2,3,4]
[{3},{4},{2},{5},{1},{6}]=>[3,4,2,5,1,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{4},{2},{6},{1},{5}]=>[3,4,2,6,1,5]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]
[{3},{5},{2},{4},{1},{6}]=>[3,5,2,4,1,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]
[{3},{6},{2},{4},{1},{5}]=>[3,6,2,4,1,5]=>[1,3,2,6,5,4]=>[1,3,2,5,6,4]
[{3},{5},{2},{6},{1},{4}]=>[3,5,2,6,1,4]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]
[{3},{6},{2},{5},{1},{4}]=>[3,6,2,5,1,4]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]
[{4},{3},{2},{5},{1},{6}]=>[4,3,2,5,1,6]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]
[{4},{3},{2},{6},{1},{5}]=>[4,3,2,6,1,5]=>[1,4,6,5,2,3]=>[1,5,2,4,6,3]
[{5},{3},{2},{4},{1},{6}]=>[5,3,2,4,1,6]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{3},{2},{4},{1},{5}]=>[6,3,2,4,1,5]=>[1,6,5,2,3,4]=>[1,5,2,3,6,4]
[{5},{3},{2},{6},{1},{4}]=>[5,3,2,6,1,4]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{3},{2},{5},{1},{4}]=>[6,3,2,5,1,4]=>[1,6,4,5,2,3]=>[1,5,2,6,4,3]
[{4},{5},{2},{3},{1},{6}]=>[4,5,2,3,1,6]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]
[{4},{6},{2},{3},{1},{5}]=>[4,6,2,3,1,5]=>[1,4,3,2,6,5]=>[1,3,4,2,6,5]
[{5},{4},{2},{3},{1},{6}]=>[5,4,2,3,1,6]=>[1,5,2,4,3,6]=>[1,5,4,2,3,6]
[{6},{4},{2},{3},{1},{5}]=>[6,4,2,3,1,5]=>[1,6,5,2,4,3]=>[1,5,4,2,6,3]
[{5},{6},{2},{3},{1},{4}]=>[5,6,2,3,1,4]=>[1,5,2,6,4,3]=>[1,5,4,6,2,3]
[{6},{5},{2},{3},{1},{4}]=>[6,5,2,3,1,4]=>[1,6,4,3,2,5]=>[1,3,4,6,2,5]
[{4},{5},{2},{6},{1},{3}]=>[4,5,2,6,1,3]=>[1,4,6,3,2,5]=>[1,3,6,4,2,5]
[{4},{6},{2},{5},{1},{3}]=>[4,6,2,5,1,3]=>[1,4,5,2,6,3]=>[1,5,6,4,2,3]
[{5},{4},{2},{6},{1},{3}]=>[5,4,2,6,1,3]=>[1,5,2,4,6,3]=>[1,5,6,2,4,3]
[{6},{4},{2},{5},{1},{3}]=>[6,4,2,5,1,3]=>[1,6,3,2,4,5]=>[1,3,6,2,4,5]
[{5},{6},{2},{4},{1},{3}]=>[5,6,2,4,1,3]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]
[{6},{5},{2},{4},{1},{3}]=>[6,5,2,4,1,3]=>[1,6,3,2,5,4]=>[1,3,6,5,2,4]
[{3},{4},{5},{2},{1},{6}]=>[3,4,5,2,1,6]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[{3},{4},{6},{2},{1},{5}]=>[3,4,6,2,1,5]=>[1,3,6,5,2,4]=>[1,5,3,2,6,4]
[{3},{5},{4},{2},{1},{6}]=>[3,5,4,2,1,6]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]
[{3},{6},{4},{2},{1},{5}]=>[3,6,4,2,1,5]=>[1,3,4,2,6,5]=>[1,4,3,2,6,5]
[{3},{5},{6},{2},{1},{4}]=>[3,5,6,2,1,4]=>[1,3,6,4,2,5]=>[1,4,3,6,2,5]
[{3},{6},{5},{2},{1},{4}]=>[3,6,5,2,1,4]=>[1,3,5,2,6,4]=>[1,5,3,6,2,4]
[{4},{3},{5},{2},{1},{6}]=>[4,3,5,2,1,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{4},{3},{6},{2},{1},{5}]=>[4,3,6,2,1,5]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]
[{5},{3},{4},{2},{1},{6}]=>[5,3,4,2,1,6]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{3},{4},{2},{1},{5}]=>[6,3,4,2,1,5]=>[1,6,5,2,3,4]=>[1,5,2,3,6,4]
[{5},{3},{6},{2},{1},{4}]=>[5,3,6,2,1,4]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]
[{6},{3},{5},{2},{1},{4}]=>[6,3,5,2,1,4]=>[1,6,4,2,3,5]=>[1,4,2,6,3,5]
[{4},{5},{3},{2},{1},{6}]=>[4,5,3,2,1,6]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{4},{6},{3},{2},{1},{5}]=>[4,6,3,2,1,5]=>[1,4,2,6,5,3]=>[1,4,5,2,6,3]
[{5},{4},{3},{2},{1},{6}]=>[5,4,3,2,1,6]=>[1,5,2,4,3,6]=>[1,5,4,2,3,6]
[{6},{4},{3},{2},{1},{5}]=>[6,4,3,2,1,5]=>[1,6,5,2,4,3]=>[1,5,4,2,6,3]
[{5},{6},{3},{2},{1},{4}]=>[5,6,3,2,1,4]=>[1,5,2,6,4,3]=>[1,5,4,6,2,3]
[{6},{5},{3},{2},{1},{4}]=>[6,5,3,2,1,4]=>[1,6,4,2,5,3]=>[1,4,6,5,3,2]
[{4},{5},{6},{2},{1},{3}]=>[4,5,6,2,1,3]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{4},{6},{5},{2},{1},{3}]=>[4,6,5,2,1,3]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]
[{5},{4},{6},{2},{1},{3}]=>[5,4,6,2,1,3]=>[1,5,2,4,3,6]=>[1,5,4,2,3,6]
[{6},{4},{5},{2},{1},{3}]=>[6,4,5,2,1,3]=>[1,6,3,5,2,4]=>[1,5,6,2,3,4]
[{5},{6},{4},{2},{1},{3}]=>[5,6,4,2,1,3]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]
[{6},{5},{4},{2},{1},{3}]=>[6,5,4,2,1,3]=>[1,6,3,4,2,5]=>[1,4,6,3,2,5]
[{3},{4},{5},{6},{1},{2}]=>[3,4,5,6,1,2]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[{3},{4},{6},{5},{1},{2}]=>[3,4,6,5,1,2]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]
[{3},{5},{4},{6},{1},{2}]=>[3,5,4,6,1,2]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]
[{3},{6},{4},{5},{1},{2}]=>[3,6,4,5,1,2]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]
[{3},{5},{6},{4},{1},{2}]=>[3,5,6,4,1,2]=>[1,3,6,2,5,4]=>[1,6,3,5,2,4]
[{3},{6},{5},{4},{1},{2}]=>[3,6,5,4,1,2]=>[1,3,5,2,6,4]=>[1,5,3,6,2,4]
[{4},{3},{5},{6},{1},{2}]=>[4,3,5,6,1,2]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]
[{4},{3},{6},{5},{1},{2}]=>[4,3,6,5,1,2]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]
[{5},{3},{4},{6},{1},{2}]=>[5,3,4,6,1,2]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{3},{4},{5},{1},{2}]=>[6,3,4,5,1,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[{5},{3},{6},{4},{1},{2}]=>[5,3,6,4,1,2]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]
[{6},{3},{5},{4},{1},{2}]=>[6,3,5,4,1,2]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]
[{4},{5},{3},{6},{1},{2}]=>[4,5,3,6,1,2]=>[1,4,6,2,5,3]=>[1,6,5,4,2,3]
[{4},{6},{3},{5},{1},{2}]=>[4,6,3,5,1,2]=>[1,4,5,2,6,3]=>[1,5,6,4,2,3]
[{5},{4},{3},{6},{1},{2}]=>[5,4,3,6,1,2]=>[1,5,2,4,6,3]=>[1,5,6,2,4,3]
[{6},{4},{3},{5},{1},{2}]=>[6,4,3,5,1,2]=>[1,6,2,4,5,3]=>[1,6,5,2,4,3]
[{5},{6},{3},{4},{1},{2}]=>[5,6,3,4,1,2]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]
[{6},{5},{3},{4},{1},{2}]=>[6,5,3,4,1,2]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]
[{4},{5},{6},{3},{1},{2}]=>[4,5,6,3,1,2]=>[1,4,3,6,2,5]=>[1,6,4,3,2,5]
[{4},{6},{5},{3},{1},{2}]=>[4,6,5,3,1,2]=>[1,4,3,5,2,6]=>[1,5,4,3,2,6]
[{5},{4},{6},{3},{1},{2}]=>[5,4,6,3,1,2]=>[1,5,2,4,3,6]=>[1,5,4,2,3,6]
[{6},{4},{5},{3},{1},{2}]=>[6,4,5,3,1,2]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]
[{5},{6},{4},{3},{1},{2}]=>[5,6,4,3,1,2]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]
[{6},{5},{4},{3},{1},{2}]=>[6,5,4,3,1,2]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]
[{2},{3},{4},{5},{6},{1}]=>[2,3,4,5,6,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{3},{4},{6},{5},{1}]=>[2,3,4,6,5,1]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{2},{3},{5},{4},{6},{1}]=>[2,3,5,4,6,1]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]
[{2},{3},{6},{4},{5},{1}]=>[2,3,6,4,5,1]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{2},{3},{5},{6},{4},{1}]=>[2,3,5,6,4,1]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{2},{3},{6},{5},{4},{1}]=>[2,3,6,5,4,1]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{2},{4},{3},{5},{6},{1}]=>[2,4,3,5,6,1]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]
[{2},{4},{3},{6},{5},{1}]=>[2,4,3,6,5,1]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]
[{2},{5},{3},{4},{6},{1}]=>[2,5,3,4,6,1]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]
[{2},{6},{3},{4},{5},{1}]=>[2,6,3,4,5,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{2},{5},{3},{6},{4},{1}]=>[2,5,3,6,4,1]=>[1,2,5,4,6,3]=>[1,2,6,5,4,3]
[{2},{6},{3},{5},{4},{1}]=>[2,6,3,5,4,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{2},{4},{5},{3},{6},{1}]=>[2,4,5,3,6,1]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2},{4},{6},{3},{5},{1}]=>[2,4,6,3,5,1]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{2},{5},{4},{3},{6},{1}]=>[2,5,4,3,6,1]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]
[{2},{6},{4},{3},{5},{1}]=>[2,6,4,3,5,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{2},{5},{6},{3},{4},{1}]=>[2,5,6,3,4,1]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{2},{6},{5},{3},{4},{1}]=>[2,6,5,3,4,1]=>[1,2,6,3,5,4]=>[1,2,6,5,3,4]
[{2},{4},{5},{6},{3},{1}]=>[2,4,5,6,3,1]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]
[{2},{4},{6},{5},{3},{1}]=>[2,4,6,5,3,1]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]
[{2},{5},{4},{6},{3},{1}]=>[2,5,4,6,3,1]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{2},{6},{4},{5},{3},{1}]=>[2,6,4,5,3,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{2},{5},{6},{4},{3},{1}]=>[2,5,6,4,3,1]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[{2},{6},{5},{4},{3},{1}]=>[2,6,5,4,3,1]=>[1,2,6,3,5,4]=>[1,2,6,5,3,4]
[{3},{2},{4},{5},{6},{1}]=>[3,2,4,5,6,1]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2]
[{3},{2},{4},{6},{5},{1}]=>[3,2,4,6,5,1]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]
[{3},{2},{5},{4},{6},{1}]=>[3,2,5,4,6,1]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]
[{3},{2},{6},{4},{5},{1}]=>[3,2,6,4,5,1]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]
[{3},{2},{5},{6},{4},{1}]=>[3,2,5,6,4,1]=>[1,3,5,4,6,2]=>[1,6,3,5,4,2]
[{3},{2},{6},{5},{4},{1}]=>[3,2,6,5,4,1]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]
[{4},{2},{3},{5},{6},{1}]=>[4,2,3,5,6,1]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]
[{4},{2},{3},{6},{5},{1}]=>[4,2,3,6,5,1]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]
[{5},{2},{3},{4},{6},{1}]=>[5,2,3,4,6,1]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]
[{6},{2},{3},{4},{5},{1}]=>[6,2,3,4,5,1]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[{5},{2},{3},{6},{4},{1}]=>[5,2,3,6,4,1]=>[1,5,4,6,2,3]=>[1,6,2,5,4,3]
[{6},{2},{3},{5},{4},{1}]=>[6,2,3,5,4,1]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[{4},{2},{5},{3},{6},{1}]=>[4,2,5,3,6,1]=>[1,4,3,5,6,2]=>[1,6,4,3,5,2]
[{4},{2},{6},{3},{5},{1}]=>[4,2,6,3,5,1]=>[1,4,3,6,2,5]=>[1,6,4,3,2,5]
[{5},{2},{4},{3},{6},{1}]=>[5,2,4,3,6,1]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]
[{6},{2},{4},{3},{5},{1}]=>[6,2,4,3,5,1]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[{5},{2},{6},{3},{4},{1}]=>[5,2,6,3,4,1]=>[1,5,4,3,6,2]=>[1,6,4,5,3,2]
[{6},{2},{5},{3},{4},{1}]=>[6,2,5,3,4,1]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]
[{4},{2},{5},{6},{3},{1}]=>[4,2,5,6,3,1]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]
[{4},{2},{6},{5},{3},{1}]=>[4,2,6,5,3,1]=>[1,4,5,3,6,2]=>[1,6,5,4,3,2]
[{5},{2},{4},{6},{3},{1}]=>[5,2,4,6,3,1]=>[1,5,3,4,6,2]=>[1,6,5,3,4,2]
[{6},{2},{4},{5},{3},{1}]=>[6,2,4,5,3,1]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[{5},{2},{6},{4},{3},{1}]=>[5,2,6,4,3,1]=>[1,5,3,6,2,4]=>[1,6,5,2,3,4]
[{6},{2},{5},{4},{3},{1}]=>[6,2,5,4,3,1]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]
[{3},{4},{2},{5},{6},{1}]=>[3,4,2,5,6,1]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{4},{2},{6},{5},{1}]=>[3,4,2,6,5,1]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]
[{3},{5},{2},{4},{6},{1}]=>[3,5,2,4,6,1]=>[1,3,2,5,6,4]=>[1,3,2,6,5,4]
[{3},{6},{2},{4},{5},{1}]=>[3,6,2,4,5,1]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]
[{3},{5},{2},{6},{4},{1}]=>[3,5,2,6,4,1]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]
[{3},{6},{2},{5},{4},{1}]=>[3,6,2,5,4,1]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]
[{4},{3},{2},{5},{6},{1}]=>[4,3,2,5,6,1]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]
[{4},{3},{2},{6},{5},{1}]=>[4,3,2,6,5,1]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]
[{5},{3},{2},{4},{6},{1}]=>[5,3,2,4,6,1]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]
[{6},{3},{2},{4},{5},{1}]=>[6,3,2,4,5,1]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[{5},{3},{2},{6},{4},{1}]=>[5,3,2,6,4,1]=>[1,5,4,6,2,3]=>[1,6,2,5,4,3]
[{6},{3},{2},{5},{4},{1}]=>[6,3,2,5,4,1]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[{4},{5},{2},{3},{6},{1}]=>[4,5,2,3,6,1]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]
[{4},{6},{2},{3},{5},{1}]=>[4,6,2,3,5,1]=>[1,4,3,2,6,5]=>[1,3,4,2,6,5]
[{5},{4},{2},{3},{6},{1}]=>[5,4,2,3,6,1]=>[1,5,6,2,4,3]=>[1,6,4,2,5,3]
[{6},{4},{2},{3},{5},{1}]=>[6,4,2,3,5,1]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]
[{5},{6},{2},{3},{4},{1}]=>[5,6,2,3,4,1]=>[1,5,4,3,2,6]=>[1,3,4,5,2,6]
[{6},{5},{2},{3},{4},{1}]=>[6,5,2,3,4,1]=>[1,6,2,5,4,3]=>[1,6,4,5,2,3]
[{4},{5},{2},{6},{3},{1}]=>[4,5,2,6,3,1]=>[1,4,6,2,5,3]=>[1,6,5,4,2,3]
[{4},{6},{2},{5},{3},{1}]=>[4,6,2,5,3,1]=>[1,4,5,3,2,6]=>[1,3,5,4,2,6]
[{5},{4},{2},{6},{3},{1}]=>[5,4,2,6,3,1]=>[1,5,3,2,4,6]=>[1,3,5,2,4,6]
[{6},{4},{2},{5},{3},{1}]=>[6,4,2,5,3,1]=>[1,6,2,4,5,3]=>[1,6,5,2,4,3]
[{5},{6},{2},{4},{3},{1}]=>[5,6,2,4,3,1]=>[1,5,3,2,6,4]=>[1,3,5,6,2,4]
[{6},{5},{2},{4},{3},{1}]=>[6,5,2,4,3,1]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]
[{3},{4},{5},{2},{6},{1}]=>[3,4,5,2,6,1]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]
[{3},{4},{6},{2},{5},{1}]=>[3,4,6,2,5,1]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]
[{3},{5},{4},{2},{6},{1}]=>[3,5,4,2,6,1]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]
[{3},{6},{4},{2},{5},{1}]=>[3,6,4,2,5,1]=>[1,3,4,2,6,5]=>[1,4,3,2,6,5]
[{3},{5},{6},{2},{4},{1}]=>[3,5,6,2,4,1]=>[1,3,6,2,5,4]=>[1,6,3,5,2,4]
[{3},{6},{5},{2},{4},{1}]=>[3,6,5,2,4,1]=>[1,3,5,4,2,6]=>[1,4,3,5,2,6]
[{4},{3},{5},{2},{6},{1}]=>[4,3,5,2,6,1]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{4},{3},{6},{2},{5},{1}]=>[4,3,6,2,5,1]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]
[{5},{3},{4},{2},{6},{1}]=>[5,3,4,2,6,1]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]
[{6},{3},{4},{2},{5},{1}]=>[6,3,4,2,5,1]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[{5},{3},{6},{2},{4},{1}]=>[5,3,6,2,4,1]=>[1,5,4,2,3,6]=>[1,4,2,5,3,6]
[{6},{3},{5},{2},{4},{1}]=>[6,3,5,2,4,1]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]
[{4},{5},{3},{2},{6},{1}]=>[4,5,3,2,6,1]=>[1,4,2,5,6,3]=>[1,4,6,2,5,3]
[{4},{6},{3},{2},{5},{1}]=>[4,6,3,2,5,1]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]
[{5},{4},{3},{2},{6},{1}]=>[5,4,3,2,6,1]=>[1,5,6,2,4,3]=>[1,6,4,2,5,3]
[{6},{4},{3},{2},{5},{1}]=>[6,4,3,2,5,1]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]
[{5},{6},{3},{2},{4},{1}]=>[5,6,3,2,4,1]=>[1,5,4,2,6,3]=>[1,4,5,6,3,2]
[{6},{5},{3},{2},{4},{1}]=>[6,5,3,2,4,1]=>[1,6,2,5,4,3]=>[1,6,4,5,2,3]
[{4},{5},{6},{2},{3},{1}]=>[4,5,6,2,3,1]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{4},{6},{5},{2},{3},{1}]=>[4,6,5,2,3,1]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]
[{5},{4},{6},{2},{3},{1}]=>[5,4,6,2,3,1]=>[1,5,3,6,2,4]=>[1,6,5,2,3,4]
[{6},{4},{5},{2},{3},{1}]=>[6,4,5,2,3,1]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]
[{5},{6},{4},{2},{3},{1}]=>[5,6,4,2,3,1]=>[1,5,3,4,2,6]=>[1,4,5,3,2,6]
[{6},{5},{4},{2},{3},{1}]=>[6,5,4,2,3,1]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]
[{3},{4},{5},{6},{2},{1}]=>[3,4,5,6,2,1]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[{3},{4},{6},{5},{2},{1}]=>[3,4,6,5,2,1]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]
[{3},{5},{4},{6},{2},{1}]=>[3,5,4,6,2,1]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]
[{3},{6},{4},{5},{2},{1}]=>[3,6,4,5,2,1]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]
[{3},{5},{6},{4},{2},{1}]=>[3,5,6,4,2,1]=>[1,3,6,2,5,4]=>[1,6,3,5,2,4]
[{3},{6},{5},{4},{2},{1}]=>[3,6,5,4,2,1]=>[1,3,5,2,6,4]=>[1,5,3,6,2,4]
[{4},{3},{5},{6},{2},{1}]=>[4,3,5,6,2,1]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]
[{4},{3},{6},{5},{2},{1}]=>[4,3,6,5,2,1]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]
[{5},{3},{4},{6},{2},{1}]=>[5,3,4,6,2,1]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{3},{4},{5},{2},{1}]=>[6,3,4,5,2,1]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[{5},{3},{6},{4},{2},{1}]=>[5,3,6,4,2,1]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]
[{6},{3},{5},{4},{2},{1}]=>[6,3,5,4,2,1]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]
[{4},{5},{3},{6},{2},{1}]=>[4,5,3,6,2,1]=>[1,4,6,2,5,3]=>[1,6,5,4,2,3]
[{4},{6},{3},{5},{2},{1}]=>[4,6,3,5,2,1]=>[1,4,5,2,6,3]=>[1,5,6,4,2,3]
[{5},{4},{3},{6},{2},{1}]=>[5,4,3,6,2,1]=>[1,5,2,4,6,3]=>[1,5,6,2,4,3]
[{6},{4},{3},{5},{2},{1}]=>[6,4,3,5,2,1]=>[1,6,2,4,5,3]=>[1,6,5,2,4,3]
[{5},{6},{3},{4},{2},{1}]=>[5,6,3,4,2,1]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]
[{6},{5},{3},{4},{2},{1}]=>[6,5,3,4,2,1]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]
[{4},{5},{6},{3},{2},{1}]=>[4,5,6,3,2,1]=>[1,4,3,6,2,5]=>[1,6,4,3,2,5]
[{4},{6},{5},{3},{2},{1}]=>[4,6,5,3,2,1]=>[1,4,3,5,2,6]=>[1,5,4,3,2,6]
[{5},{4},{6},{3},{2},{1}]=>[5,4,6,3,2,1]=>[1,5,2,4,3,6]=>[1,5,4,2,3,6]
[{6},{4},{5},{3},{2},{1}]=>[6,4,5,3,2,1]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]
[{5},{6},{4},{3},{2},{1}]=>[5,6,4,3,2,1]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]
[{6},{5},{4},{3},{2},{1}]=>[6,5,4,3,2,1]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]
[{1},{2},{3},{4},{5,6}]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{2},{3},{5},{4,6}]=>[1,2,3,5,4,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{2},{3},{6},{4,5}]=>[1,2,3,6,4,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1},{2},{4},{3},{5,6}]=>[1,2,4,3,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{2},{5},{3},{4,6}]=>[1,2,5,3,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1},{2},{6},{3},{4,5}]=>[1,2,6,3,4,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{1},{2},{4},{5},{3,6}]=>[1,2,4,5,3,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{2},{4},{6},{3,5}]=>[1,2,4,6,3,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1},{2},{5},{4},{3,6}]=>[1,2,5,4,3,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1},{2},{6},{4},{3,5}]=>[1,2,6,4,3,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{1},{2},{5},{6},{3,4}]=>[1,2,5,6,3,4]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1},{2},{6},{5},{3,4}]=>[1,2,6,5,3,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{1},{3},{2},{4},{5,6}]=>[1,3,2,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{3},{2},{5},{4,6}]=>[1,3,2,5,4,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{3},{2},{6},{4,5}]=>[1,3,2,6,4,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1},{4},{2},{3},{5,6}]=>[1,4,2,3,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1},{5},{2},{3},{4,6}]=>[1,5,2,3,4,6]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{1},{6},{2},{3},{4,5}]=>[1,6,2,3,4,5]=>[1,2,6,5,4,3]=>[1,2,4,5,6,3]
[{1},{4},{2},{5},{3,6}]=>[1,4,2,5,3,6]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]
[{1},{4},{2},{6},{3,5}]=>[1,4,2,6,3,5]=>[1,2,4,6,5,3]=>[1,2,5,4,6,3]
[{1},{5},{2},{4},{3,6}]=>[1,5,2,4,3,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{1},{6},{2},{4},{3,5}]=>[1,6,2,4,3,5]=>[1,2,6,5,3,4]=>[1,2,5,3,6,4]
[{1},{5},{2},{6},{3,4}]=>[1,5,2,6,3,4]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{1},{6},{2},{5},{3,4}]=>[1,6,2,5,3,4]=>[1,2,6,4,5,3]=>[1,2,5,6,4,3]
[{1},{3},{4},{2},{5,6}]=>[1,3,4,2,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{3},{5},{2},{4,6}]=>[1,3,5,2,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1},{3},{6},{2},{4,5}]=>[1,3,6,2,4,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{1},{4},{3},{2},{5,6}]=>[1,4,3,2,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1},{5},{3},{2},{4,6}]=>[1,5,3,2,4,6]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{1},{6},{3},{2},{4,5}]=>[1,6,3,2,4,5]=>[1,2,6,5,4,3]=>[1,2,4,5,6,3]
[{1},{4},{5},{2},{3,6}]=>[1,4,5,2,3,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1},{4},{6},{2},{3,5}]=>[1,4,6,2,3,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{1},{5},{4},{2},{3,6}]=>[1,5,4,2,3,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{1},{6},{4},{2},{3,5}]=>[1,6,4,2,3,5]=>[1,2,6,5,3,4]=>[1,2,5,3,6,4]
[{1},{5},{6},{2},{3,4}]=>[1,5,6,2,3,4]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[{1},{6},{5},{2},{3,4}]=>[1,6,5,2,3,4]=>[1,2,6,4,3,5]=>[1,2,4,6,3,5]
[{1},{3},{4},{5},{2,6}]=>[1,3,4,5,2,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{3},{4},{6},{2,5}]=>[1,3,4,6,2,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1},{3},{5},{4},{2,6}]=>[1,3,5,4,2,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1},{3},{6},{4},{2,5}]=>[1,3,6,4,2,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{1},{3},{5},{6},{2,4}]=>[1,3,5,6,2,4]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1},{3},{6},{5},{2,4}]=>[1,3,6,5,2,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{1},{4},{3},{5},{2,6}]=>[1,4,3,5,2,6]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]
[{1},{4},{3},{6},{2,5}]=>[1,4,3,6,2,5]=>[1,2,4,6,5,3]=>[1,2,5,4,6,3]
[{1},{5},{3},{4},{2,6}]=>[1,5,3,4,2,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{1},{6},{3},{4},{2,5}]=>[1,6,3,4,2,5]=>[1,2,6,5,3,4]=>[1,2,5,3,6,4]
[{1},{5},{3},{6},{2,4}]=>[1,5,3,6,2,4]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{1},{6},{3},{5},{2,4}]=>[1,6,3,5,2,4]=>[1,2,6,4,5,3]=>[1,2,5,6,4,3]
[{1},{4},{5},{3},{2,6}]=>[1,4,5,3,2,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1},{4},{6},{3},{2,5}]=>[1,4,6,3,2,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{1},{5},{4},{3},{2,6}]=>[1,5,4,3,2,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{1},{6},{4},{3},{2,5}]=>[1,6,4,3,2,5]=>[1,2,6,5,3,4]=>[1,2,5,3,6,4]
[{1},{5},{6},{3},{2,4}]=>[1,5,6,3,2,4]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[{1},{6},{5},{3},{2,4}]=>[1,6,5,3,2,4]=>[1,2,6,4,3,5]=>[1,2,4,6,3,5]
[{1},{4},{5},{6},{2,3}]=>[1,4,5,6,2,3]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]
[{1},{4},{6},{5},{2,3}]=>[1,4,6,5,2,3]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]
[{1},{5},{4},{6},{2,3}]=>[1,5,4,6,2,3]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{1},{6},{4},{5},{2,3}]=>[1,6,4,5,2,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{1},{5},{6},{4},{2,3}]=>[1,5,6,4,2,3]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[{1},{6},{5},{4},{2,3}]=>[1,6,5,4,2,3]=>[1,2,6,3,5,4]=>[1,2,6,5,3,4]
[{2},{1},{3},{4},{5,6}]=>[2,1,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{1},{3},{5},{4,6}]=>[2,1,3,5,4,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{1},{3},{6},{4,5}]=>[2,1,3,6,4,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{2},{1},{4},{3},{5,6}]=>[2,1,4,3,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{1},{5},{3},{4,6}]=>[2,1,5,3,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{2},{1},{6},{3},{4,5}]=>[2,1,6,3,4,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{2},{1},{4},{5},{3,6}]=>[2,1,4,5,3,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{1},{4},{6},{3,5}]=>[2,1,4,6,3,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{2},{1},{5},{4},{3,6}]=>[2,1,5,4,3,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{2},{1},{6},{4},{3,5}]=>[2,1,6,4,3,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{2},{1},{5},{6},{3,4}]=>[2,1,5,6,3,4]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{2},{1},{6},{5},{3,4}]=>[2,1,6,5,3,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{3},{1},{2},{4},{5,6}]=>[3,1,2,4,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{1},{2},{5},{4,6}]=>[3,1,2,5,4,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{1},{2},{6},{4,5}]=>[3,1,2,6,4,5]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]
[{4},{1},{2},{3},{5,6}]=>[4,1,2,3,5,6]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]
[{5},{1},{2},{3},{4,6}]=>[5,1,2,3,4,6]=>[1,5,4,3,2,6]=>[1,3,4,5,2,6]
[{6},{1},{2},{3},{4,5}]=>[6,1,2,3,4,5]=>[1,6,5,4,3,2]=>[1,3,4,5,6,2]
[{4},{1},{2},{5},{3,6}]=>[4,1,2,5,3,6]=>[1,4,5,3,2,6]=>[1,3,5,4,2,6]
[{4},{1},{2},{6},{3,5}]=>[4,1,2,6,3,5]=>[1,4,6,5,3,2]=>[1,3,5,4,6,2]
[{5},{1},{2},{4},{3,6}]=>[5,1,2,4,3,6]=>[1,5,3,2,4,6]=>[1,3,5,2,4,6]
[{6},{1},{2},{4},{3,5}]=>[6,1,2,4,3,5]=>[1,6,5,3,2,4]=>[1,3,5,2,6,4]
[{5},{1},{2},{6},{3,4}]=>[5,1,2,6,3,4]=>[1,5,3,2,4,6]=>[1,3,5,2,4,6]
[{6},{1},{2},{5},{3,4}]=>[6,1,2,5,3,4]=>[1,6,4,5,3,2]=>[1,3,5,6,4,2]
[{3},{1},{4},{2},{5,6}]=>[3,1,4,2,5,6]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]
[{3},{1},{5},{2},{4,6}]=>[3,1,5,2,4,6]=>[1,3,5,4,2,6]=>[1,4,3,5,2,6]
[{3},{1},{6},{2},{4,5}]=>[3,1,6,2,4,5]=>[1,3,6,5,4,2]=>[1,4,3,5,6,2]
[{4},{1},{3},{2},{5,6}]=>[4,1,3,2,5,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{5},{1},{3},{2},{4,6}]=>[5,1,3,2,4,6]=>[1,5,4,2,3,6]=>[1,4,2,5,3,6]
[{6},{1},{3},{2},{4,5}]=>[6,1,3,2,4,5]=>[1,6,5,4,2,3]=>[1,4,2,5,6,3]
[{4},{1},{5},{2},{3,6}]=>[4,1,5,2,3,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{4},{1},{6},{2},{3,5}]=>[4,1,6,2,3,5]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]
[{5},{1},{4},{2},{3,6}]=>[5,1,4,2,3,6]=>[1,5,3,4,2,6]=>[1,4,5,3,2,6]
[{6},{1},{4},{2},{3,5}]=>[6,1,4,2,3,5]=>[1,6,5,3,4,2]=>[1,4,5,3,6,2]
[{5},{1},{6},{2},{3,4}]=>[5,1,6,2,3,4]=>[1,5,3,6,4,2]=>[1,4,6,5,2,3]
[{6},{1},{5},{2},{3,4}]=>[6,1,5,2,3,4]=>[1,6,4,2,3,5]=>[1,4,2,6,3,5]
[{3},{1},{4},{5},{2,6}]=>[3,1,4,5,2,6]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]
[{3},{1},{4},{6},{2,5}]=>[3,1,4,6,2,5]=>[1,3,4,6,5,2]=>[1,5,3,4,6,2]
[{3},{1},{5},{4},{2,6}]=>[3,1,5,4,2,6]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[{3},{1},{6},{4},{2,5}]=>[3,1,6,4,2,5]=>[1,3,6,5,2,4]=>[1,5,3,2,6,4]
[{3},{1},{5},{6},{2,4}]=>[3,1,5,6,2,4]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[{3},{1},{6},{5},{2,4}]=>[3,1,6,5,2,4]=>[1,3,6,4,5,2]=>[1,5,3,6,4,2]
[{4},{1},{3},{5},{2,6}]=>[4,1,3,5,2,6]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]
[{4},{1},{3},{6},{2,5}]=>[4,1,3,6,2,5]=>[1,4,6,5,2,3]=>[1,5,2,4,6,3]
[{5},{1},{3},{4},{2,6}]=>[5,1,3,4,2,6]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{1},{3},{4},{2,5}]=>[6,1,3,4,2,5]=>[1,6,5,2,3,4]=>[1,5,2,3,6,4]
[{5},{1},{3},{6},{2,4}]=>[5,1,3,6,2,4]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{1},{3},{5},{2,4}]=>[6,1,3,5,2,4]=>[1,6,4,5,2,3]=>[1,5,2,6,4,3]
[{4},{1},{5},{3},{2,6}]=>[4,1,5,3,2,6]=>[1,4,3,5,2,6]=>[1,5,4,3,2,6]
[{4},{1},{6},{3},{2,5}]=>[4,1,6,3,2,5]=>[1,4,3,6,5,2]=>[1,5,4,3,6,2]
[{5},{1},{4},{3},{2,6}]=>[5,1,4,3,2,6]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{1},{4},{3},{2,5}]=>[6,1,4,3,2,5]=>[1,6,5,2,3,4]=>[1,5,2,3,6,4]
[{5},{1},{6},{3},{2,4}]=>[5,1,6,3,2,4]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]
[{6},{1},{5},{3},{2,4}]=>[6,1,5,3,2,4]=>[1,6,4,3,5,2]=>[1,5,4,6,3,2]
[{4},{1},{5},{6},{2,3}]=>[4,1,5,6,2,3]=>[1,4,6,3,5,2]=>[1,5,6,4,3,2]
[{4},{1},{6},{5},{2,3}]=>[4,1,6,5,2,3]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]
[{5},{1},{4},{6},{2,3}]=>[5,1,4,6,2,3]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{1},{4},{5},{2,3}]=>[6,1,4,5,2,3]=>[1,6,3,4,5,2]=>[1,5,6,3,4,2]
[{5},{1},{6},{4},{2,3}]=>[5,1,6,4,2,3]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]
[{6},{1},{5},{4},{2,3}]=>[6,1,5,4,2,3]=>[1,6,3,5,2,4]=>[1,5,6,2,3,4]
[{2},{3},{1},{4},{5,6}]=>[2,3,1,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{3},{1},{5},{4,6}]=>[2,3,1,5,4,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{3},{1},{6},{4,5}]=>[2,3,1,6,4,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{2},{4},{1},{3},{5,6}]=>[2,4,1,3,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2},{5},{1},{3},{4,6}]=>[2,5,1,3,4,6]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{2},{6},{1},{3},{4,5}]=>[2,6,1,3,4,5]=>[1,2,6,5,4,3]=>[1,2,4,5,6,3]
[{2},{4},{1},{5},{3,6}]=>[2,4,1,5,3,6]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]
[{2},{4},{1},{6},{3,5}]=>[2,4,1,6,3,5]=>[1,2,4,6,5,3]=>[1,2,5,4,6,3]
[{2},{5},{1},{4},{3,6}]=>[2,5,1,4,3,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{2},{6},{1},{4},{3,5}]=>[2,6,1,4,3,5]=>[1,2,6,5,3,4]=>[1,2,5,3,6,4]
[{2},{5},{1},{6},{3,4}]=>[2,5,1,6,3,4]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{2},{6},{1},{5},{3,4}]=>[2,6,1,5,3,4]=>[1,2,6,4,5,3]=>[1,2,5,6,4,3]
[{3},{2},{1},{4},{5,6}]=>[3,2,1,4,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{2},{1},{5},{4,6}]=>[3,2,1,5,4,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{2},{1},{6},{4,5}]=>[3,2,1,6,4,5]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]
[{4},{2},{1},{3},{5,6}]=>[4,2,1,3,5,6]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]
[{5},{2},{1},{3},{4,6}]=>[5,2,1,3,4,6]=>[1,5,4,3,2,6]=>[1,3,4,5,2,6]
[{6},{2},{1},{3},{4,5}]=>[6,2,1,3,4,5]=>[1,6,5,4,3,2]=>[1,3,4,5,6,2]
[{4},{2},{1},{5},{3,6}]=>[4,2,1,5,3,6]=>[1,4,5,3,2,6]=>[1,3,5,4,2,6]
[{4},{2},{1},{6},{3,5}]=>[4,2,1,6,3,5]=>[1,4,6,5,3,2]=>[1,3,5,4,6,2]
[{5},{2},{1},{4},{3,6}]=>[5,2,1,4,3,6]=>[1,5,3,2,4,6]=>[1,3,5,2,4,6]
[{6},{2},{1},{4},{3,5}]=>[6,2,1,4,3,5]=>[1,6,5,3,2,4]=>[1,3,5,2,6,4]
[{5},{2},{1},{6},{3,4}]=>[5,2,1,6,3,4]=>[1,5,3,2,4,6]=>[1,3,5,2,4,6]
[{6},{2},{1},{5},{3,4}]=>[6,2,1,5,3,4]=>[1,6,4,5,3,2]=>[1,3,5,6,4,2]
[{3},{4},{1},{2},{5,6}]=>[3,4,1,2,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{5},{1},{2},{4,6}]=>[3,5,1,2,4,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]
[{3},{6},{1},{2},{4,5}]=>[3,6,1,2,4,5]=>[1,3,2,6,5,4]=>[1,3,2,5,6,4]
[{4},{3},{1},{2},{5,6}]=>[4,3,1,2,5,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{5},{3},{1},{2},{4,6}]=>[5,3,1,2,4,6]=>[1,5,4,2,3,6]=>[1,4,2,5,3,6]
[{6},{3},{1},{2},{4,5}]=>[6,3,1,2,4,5]=>[1,6,5,4,2,3]=>[1,4,2,5,6,3]
[{4},{5},{1},{2},{3,6}]=>[4,5,1,2,3,6]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{4},{6},{1},{2},{3,5}]=>[4,6,1,2,3,5]=>[1,4,2,6,5,3]=>[1,4,5,2,6,3]
[{5},{4},{1},{2},{3,6}]=>[5,4,1,2,3,6]=>[1,5,3,2,4,6]=>[1,3,5,2,4,6]
[{6},{4},{1},{2},{3,5}]=>[6,4,1,2,3,5]=>[1,6,5,3,2,4]=>[1,3,5,2,6,4]
[{5},{6},{1},{2},{3,4}]=>[5,6,1,2,3,4]=>[1,5,3,2,6,4]=>[1,3,5,6,2,4]
[{6},{5},{1},{2},{3,4}]=>[6,5,1,2,3,4]=>[1,6,4,2,5,3]=>[1,4,6,5,3,2]
[{3},{4},{1},{5},{2,6}]=>[3,4,1,5,2,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{4},{1},{6},{2,5}]=>[3,4,1,6,2,5]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]
[{3},{5},{1},{4},{2,6}]=>[3,5,1,4,2,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]
[{3},{6},{1},{4},{2,5}]=>[3,6,1,4,2,5]=>[1,3,2,6,5,4]=>[1,3,2,5,6,4]
[{3},{5},{1},{6},{2,4}]=>[3,5,1,6,2,4]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]
[{3},{6},{1},{5},{2,4}]=>[3,6,1,5,2,4]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]
[{4},{3},{1},{5},{2,6}]=>[4,3,1,5,2,6]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]
[{4},{3},{1},{6},{2,5}]=>[4,3,1,6,2,5]=>[1,4,6,5,2,3]=>[1,5,2,4,6,3]
[{5},{3},{1},{4},{2,6}]=>[5,3,1,4,2,6]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{3},{1},{4},{2,5}]=>[6,3,1,4,2,5]=>[1,6,5,2,3,4]=>[1,5,2,3,6,4]
[{5},{3},{1},{6},{2,4}]=>[5,3,1,6,2,4]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{3},{1},{5},{2,4}]=>[6,3,1,5,2,4]=>[1,6,4,5,2,3]=>[1,5,2,6,4,3]
[{4},{5},{1},{3},{2,6}]=>[4,5,1,3,2,6]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]
[{4},{6},{1},{3},{2,5}]=>[4,6,1,3,2,5]=>[1,4,3,2,6,5]=>[1,3,4,2,6,5]
[{5},{4},{1},{3},{2,6}]=>[5,4,1,3,2,6]=>[1,5,2,4,3,6]=>[1,5,4,2,3,6]
[{6},{4},{1},{3},{2,5}]=>[6,4,1,3,2,5]=>[1,6,5,2,4,3]=>[1,5,4,2,6,3]
[{5},{6},{1},{3},{2,4}]=>[5,6,1,3,2,4]=>[1,5,2,6,4,3]=>[1,5,4,6,2,3]
[{6},{5},{1},{3},{2,4}]=>[6,5,1,3,2,4]=>[1,6,4,3,2,5]=>[1,3,4,6,2,5]
[{4},{5},{1},{6},{2,3}]=>[4,5,1,6,2,3]=>[1,4,6,3,2,5]=>[1,3,6,4,2,5]
[{4},{6},{1},{5},{2,3}]=>[4,6,1,5,2,3]=>[1,4,5,2,6,3]=>[1,5,6,4,2,3]
[{5},{4},{1},{6},{2,3}]=>[5,4,1,6,2,3]=>[1,5,2,4,6,3]=>[1,5,6,2,4,3]
[{6},{4},{1},{5},{2,3}]=>[6,4,1,5,2,3]=>[1,6,3,2,4,5]=>[1,3,6,2,4,5]
[{5},{6},{1},{4},{2,3}]=>[5,6,1,4,2,3]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]
[{6},{5},{1},{4},{2,3}]=>[6,5,1,4,2,3]=>[1,6,3,2,5,4]=>[1,3,6,5,2,4]
[{2},{3},{4},{1},{5,6}]=>[2,3,4,1,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{3},{5},{1},{4,6}]=>[2,3,5,1,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{2},{3},{6},{1},{4,5}]=>[2,3,6,1,4,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{2},{4},{3},{1},{5,6}]=>[2,4,3,1,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2},{5},{3},{1},{4,6}]=>[2,5,3,1,4,6]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{2},{6},{3},{1},{4,5}]=>[2,6,3,1,4,5]=>[1,2,6,5,4,3]=>[1,2,4,5,6,3]
[{2},{4},{5},{1},{3,6}]=>[2,4,5,1,3,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2},{4},{6},{1},{3,5}]=>[2,4,6,1,3,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{2},{5},{4},{1},{3,6}]=>[2,5,4,1,3,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{2},{6},{4},{1},{3,5}]=>[2,6,4,1,3,5]=>[1,2,6,5,3,4]=>[1,2,5,3,6,4]
[{2},{5},{6},{1},{3,4}]=>[2,5,6,1,3,4]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[{2},{6},{5},{1},{3,4}]=>[2,6,5,1,3,4]=>[1,2,6,4,3,5]=>[1,2,4,6,3,5]
[{3},{2},{4},{1},{5,6}]=>[3,2,4,1,5,6]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]
[{3},{2},{5},{1},{4,6}]=>[3,2,5,1,4,6]=>[1,3,5,4,2,6]=>[1,4,3,5,2,6]
[{3},{2},{6},{1},{4,5}]=>[3,2,6,1,4,5]=>[1,3,6,5,4,2]=>[1,4,3,5,6,2]
[{4},{2},{3},{1},{5,6}]=>[4,2,3,1,5,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{5},{2},{3},{1},{4,6}]=>[5,2,3,1,4,6]=>[1,5,4,2,3,6]=>[1,4,2,5,3,6]
[{6},{2},{3},{1},{4,5}]=>[6,2,3,1,4,5]=>[1,6,5,4,2,3]=>[1,4,2,5,6,3]
[{4},{2},{5},{1},{3,6}]=>[4,2,5,1,3,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{4},{2},{6},{1},{3,5}]=>[4,2,6,1,3,5]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]
[{5},{2},{4},{1},{3,6}]=>[5,2,4,1,3,6]=>[1,5,3,4,2,6]=>[1,4,5,3,2,6]
[{6},{2},{4},{1},{3,5}]=>[6,2,4,1,3,5]=>[1,6,5,3,4,2]=>[1,4,5,3,6,2]
[{5},{2},{6},{1},{3,4}]=>[5,2,6,1,3,4]=>[1,5,3,6,4,2]=>[1,4,6,5,2,3]
[{6},{2},{5},{1},{3,4}]=>[6,2,5,1,3,4]=>[1,6,4,2,3,5]=>[1,4,2,6,3,5]
[{3},{4},{2},{1},{5,6}]=>[3,4,2,1,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{5},{2},{1},{4,6}]=>[3,5,2,1,4,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]
[{3},{6},{2},{1},{4,5}]=>[3,6,2,1,4,5]=>[1,3,2,6,5,4]=>[1,3,2,5,6,4]
[{4},{3},{2},{1},{5,6}]=>[4,3,2,1,5,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{5},{3},{2},{1},{4,6}]=>[5,3,2,1,4,6]=>[1,5,4,2,3,6]=>[1,4,2,5,3,6]
[{6},{3},{2},{1},{4,5}]=>[6,3,2,1,4,5]=>[1,6,5,4,2,3]=>[1,4,2,5,6,3]
[{4},{5},{2},{1},{3,6}]=>[4,5,2,1,3,6]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{4},{6},{2},{1},{3,5}]=>[4,6,2,1,3,5]=>[1,4,2,6,5,3]=>[1,4,5,2,6,3]
[{5},{4},{2},{1},{3,6}]=>[5,4,2,1,3,6]=>[1,5,3,2,4,6]=>[1,3,5,2,4,6]
[{6},{4},{2},{1},{3,5}]=>[6,4,2,1,3,5]=>[1,6,5,3,2,4]=>[1,3,5,2,6,4]
[{5},{6},{2},{1},{3,4}]=>[5,6,2,1,3,4]=>[1,5,3,2,6,4]=>[1,3,5,6,2,4]
[{6},{5},{2},{1},{3,4}]=>[6,5,2,1,3,4]=>[1,6,4,2,5,3]=>[1,4,6,5,3,2]
[{3},{4},{5},{1},{2,6}]=>[3,4,5,1,2,6]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[{3},{4},{6},{1},{2,5}]=>[3,4,6,1,2,5]=>[1,3,6,5,2,4]=>[1,5,3,2,6,4]
[{3},{5},{4},{1},{2,6}]=>[3,5,4,1,2,6]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]
[{3},{6},{4},{1},{2,5}]=>[3,6,4,1,2,5]=>[1,3,4,2,6,5]=>[1,4,3,2,6,5]
[{3},{5},{6},{1},{2,4}]=>[3,5,6,1,2,4]=>[1,3,6,4,2,5]=>[1,4,3,6,2,5]
[{3},{6},{5},{1},{2,4}]=>[3,6,5,1,2,4]=>[1,3,5,2,6,4]=>[1,5,3,6,2,4]
[{4},{3},{5},{1},{2,6}]=>[4,3,5,1,2,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{4},{3},{6},{1},{2,5}]=>[4,3,6,1,2,5]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]
[{5},{3},{4},{1},{2,6}]=>[5,3,4,1,2,6]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{3},{4},{1},{2,5}]=>[6,3,4,1,2,5]=>[1,6,5,2,3,4]=>[1,5,2,3,6,4]
[{5},{3},{6},{1},{2,4}]=>[5,3,6,1,2,4]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]
[{6},{3},{5},{1},{2,4}]=>[6,3,5,1,2,4]=>[1,6,4,2,3,5]=>[1,4,2,6,3,5]
[{4},{5},{3},{1},{2,6}]=>[4,5,3,1,2,6]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{4},{6},{3},{1},{2,5}]=>[4,6,3,1,2,5]=>[1,4,2,6,5,3]=>[1,4,5,2,6,3]
[{5},{4},{3},{1},{2,6}]=>[5,4,3,1,2,6]=>[1,5,2,4,3,6]=>[1,5,4,2,3,6]
[{6},{4},{3},{1},{2,5}]=>[6,4,3,1,2,5]=>[1,6,5,2,4,3]=>[1,5,4,2,6,3]
[{5},{6},{3},{1},{2,4}]=>[5,6,3,1,2,4]=>[1,5,2,6,4,3]=>[1,5,4,6,2,3]
[{6},{5},{3},{1},{2,4}]=>[6,5,3,1,2,4]=>[1,6,4,2,5,3]=>[1,4,6,5,3,2]
[{4},{5},{6},{1},{2,3}]=>[4,5,6,1,2,3]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{4},{6},{5},{1},{2,3}]=>[4,6,5,1,2,3]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]
[{5},{4},{6},{1},{2,3}]=>[5,4,6,1,2,3]=>[1,5,2,4,3,6]=>[1,5,4,2,3,6]
[{6},{4},{5},{1},{2,3}]=>[6,4,5,1,2,3]=>[1,6,3,5,2,4]=>[1,5,6,2,3,4]
[{5},{6},{4},{1},{2,3}]=>[5,6,4,1,2,3]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]
[{6},{5},{4},{1},{2,3}]=>[6,5,4,1,2,3]=>[1,6,3,4,2,5]=>[1,4,6,3,2,5]
[{2},{3},{4},{5},{1,6}]=>[2,3,4,5,1,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{3},{4},{6},{1,5}]=>[2,3,4,6,1,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{2},{3},{5},{4},{1,6}]=>[2,3,5,4,1,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{2},{3},{6},{4},{1,5}]=>[2,3,6,4,1,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{2},{3},{5},{6},{1,4}]=>[2,3,5,6,1,4]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{2},{3},{6},{5},{1,4}]=>[2,3,6,5,1,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{2},{4},{3},{5},{1,6}]=>[2,4,3,5,1,6]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]
[{2},{4},{3},{6},{1,5}]=>[2,4,3,6,1,5]=>[1,2,4,6,5,3]=>[1,2,5,4,6,3]
[{2},{5},{3},{4},{1,6}]=>[2,5,3,4,1,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{2},{6},{3},{4},{1,5}]=>[2,6,3,4,1,5]=>[1,2,6,5,3,4]=>[1,2,5,3,6,4]
[{2},{5},{3},{6},{1,4}]=>[2,5,3,6,1,4]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{2},{6},{3},{5},{1,4}]=>[2,6,3,5,1,4]=>[1,2,6,4,5,3]=>[1,2,5,6,4,3]
[{2},{4},{5},{3},{1,6}]=>[2,4,5,3,1,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2},{4},{6},{3},{1,5}]=>[2,4,6,3,1,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{2},{5},{4},{3},{1,6}]=>[2,5,4,3,1,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{2},{6},{4},{3},{1,5}]=>[2,6,4,3,1,5]=>[1,2,6,5,3,4]=>[1,2,5,3,6,4]
[{2},{5},{6},{3},{1,4}]=>[2,5,6,3,1,4]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[{2},{6},{5},{3},{1,4}]=>[2,6,5,3,1,4]=>[1,2,6,4,3,5]=>[1,2,4,6,3,5]
[{2},{4},{5},{6},{1,3}]=>[2,4,5,6,1,3]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]
[{2},{4},{6},{5},{1,3}]=>[2,4,6,5,1,3]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]
[{2},{5},{4},{6},{1,3}]=>[2,5,4,6,1,3]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{2},{6},{4},{5},{1,3}]=>[2,6,4,5,1,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{2},{5},{6},{4},{1,3}]=>[2,5,6,4,1,3]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[{2},{6},{5},{4},{1,3}]=>[2,6,5,4,1,3]=>[1,2,6,3,5,4]=>[1,2,6,5,3,4]
[{3},{2},{4},{5},{1,6}]=>[3,2,4,5,1,6]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]
[{3},{2},{4},{6},{1,5}]=>[3,2,4,6,1,5]=>[1,3,4,6,5,2]=>[1,5,3,4,6,2]
[{3},{2},{5},{4},{1,6}]=>[3,2,5,4,1,6]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[{3},{2},{6},{4},{1,5}]=>[3,2,6,4,1,5]=>[1,3,6,5,2,4]=>[1,5,3,2,6,4]
[{3},{2},{5},{6},{1,4}]=>[3,2,5,6,1,4]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[{3},{2},{6},{5},{1,4}]=>[3,2,6,5,1,4]=>[1,3,6,4,5,2]=>[1,5,3,6,4,2]
[{4},{2},{3},{5},{1,6}]=>[4,2,3,5,1,6]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]
[{4},{2},{3},{6},{1,5}]=>[4,2,3,6,1,5]=>[1,4,6,5,2,3]=>[1,5,2,4,6,3]
[{5},{2},{3},{4},{1,6}]=>[5,2,3,4,1,6]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{2},{3},{4},{1,5}]=>[6,2,3,4,1,5]=>[1,6,5,2,3,4]=>[1,5,2,3,6,4]
[{5},{2},{3},{6},{1,4}]=>[5,2,3,6,1,4]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{2},{3},{5},{1,4}]=>[6,2,3,5,1,4]=>[1,6,4,5,2,3]=>[1,5,2,6,4,3]
[{4},{2},{5},{3},{1,6}]=>[4,2,5,3,1,6]=>[1,4,3,5,2,6]=>[1,5,4,3,2,6]
[{4},{2},{6},{3},{1,5}]=>[4,2,6,3,1,5]=>[1,4,3,6,5,2]=>[1,5,4,3,6,2]
[{5},{2},{4},{3},{1,6}]=>[5,2,4,3,1,6]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{2},{4},{3},{1,5}]=>[6,2,4,3,1,5]=>[1,6,5,2,3,4]=>[1,5,2,3,6,4]
[{5},{2},{6},{3},{1,4}]=>[5,2,6,3,1,4]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]
[{6},{2},{5},{3},{1,4}]=>[6,2,5,3,1,4]=>[1,6,4,3,5,2]=>[1,5,4,6,3,2]
[{4},{2},{5},{6},{1,3}]=>[4,2,5,6,1,3]=>[1,4,6,3,5,2]=>[1,5,6,4,3,2]
[{4},{2},{6},{5},{1,3}]=>[4,2,6,5,1,3]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]
[{5},{2},{4},{6},{1,3}]=>[5,2,4,6,1,3]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{2},{4},{5},{1,3}]=>[6,2,4,5,1,3]=>[1,6,3,4,5,2]=>[1,5,6,3,4,2]
[{5},{2},{6},{4},{1,3}]=>[5,2,6,4,1,3]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]
[{6},{2},{5},{4},{1,3}]=>[6,2,5,4,1,3]=>[1,6,3,5,2,4]=>[1,5,6,2,3,4]
[{3},{4},{2},{5},{1,6}]=>[3,4,2,5,1,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{4},{2},{6},{1,5}]=>[3,4,2,6,1,5]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]
[{3},{5},{2},{4},{1,6}]=>[3,5,2,4,1,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]
[{3},{6},{2},{4},{1,5}]=>[3,6,2,4,1,5]=>[1,3,2,6,5,4]=>[1,3,2,5,6,4]
[{3},{5},{2},{6},{1,4}]=>[3,5,2,6,1,4]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]
[{3},{6},{2},{5},{1,4}]=>[3,6,2,5,1,4]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]
[{4},{3},{2},{5},{1,6}]=>[4,3,2,5,1,6]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]
[{4},{3},{2},{6},{1,5}]=>[4,3,2,6,1,5]=>[1,4,6,5,2,3]=>[1,5,2,4,6,3]
[{5},{3},{2},{4},{1,6}]=>[5,3,2,4,1,6]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{3},{2},{4},{1,5}]=>[6,3,2,4,1,5]=>[1,6,5,2,3,4]=>[1,5,2,3,6,4]
[{5},{3},{2},{6},{1,4}]=>[5,3,2,6,1,4]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{3},{2},{5},{1,4}]=>[6,3,2,5,1,4]=>[1,6,4,5,2,3]=>[1,5,2,6,4,3]
[{4},{5},{2},{3},{1,6}]=>[4,5,2,3,1,6]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]
[{4},{6},{2},{3},{1,5}]=>[4,6,2,3,1,5]=>[1,4,3,2,6,5]=>[1,3,4,2,6,5]
[{5},{4},{2},{3},{1,6}]=>[5,4,2,3,1,6]=>[1,5,2,4,3,6]=>[1,5,4,2,3,6]
[{6},{4},{2},{3},{1,5}]=>[6,4,2,3,1,5]=>[1,6,5,2,4,3]=>[1,5,4,2,6,3]
[{5},{6},{2},{3},{1,4}]=>[5,6,2,3,1,4]=>[1,5,2,6,4,3]=>[1,5,4,6,2,3]
[{6},{5},{2},{3},{1,4}]=>[6,5,2,3,1,4]=>[1,6,4,3,2,5]=>[1,3,4,6,2,5]
[{4},{5},{2},{6},{1,3}]=>[4,5,2,6,1,3]=>[1,4,6,3,2,5]=>[1,3,6,4,2,5]
[{4},{6},{2},{5},{1,3}]=>[4,6,2,5,1,3]=>[1,4,5,2,6,3]=>[1,5,6,4,2,3]
[{5},{4},{2},{6},{1,3}]=>[5,4,2,6,1,3]=>[1,5,2,4,6,3]=>[1,5,6,2,4,3]
[{6},{4},{2},{5},{1,3}]=>[6,4,2,5,1,3]=>[1,6,3,2,4,5]=>[1,3,6,2,4,5]
[{5},{6},{2},{4},{1,3}]=>[5,6,2,4,1,3]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]
[{6},{5},{2},{4},{1,3}]=>[6,5,2,4,1,3]=>[1,6,3,2,5,4]=>[1,3,6,5,2,4]
[{3},{4},{5},{2},{1,6}]=>[3,4,5,2,1,6]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[{3},{4},{6},{2},{1,5}]=>[3,4,6,2,1,5]=>[1,3,6,5,2,4]=>[1,5,3,2,6,4]
[{3},{5},{4},{2},{1,6}]=>[3,5,4,2,1,6]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]
[{3},{6},{4},{2},{1,5}]=>[3,6,4,2,1,5]=>[1,3,4,2,6,5]=>[1,4,3,2,6,5]
[{3},{5},{6},{2},{1,4}]=>[3,5,6,2,1,4]=>[1,3,6,4,2,5]=>[1,4,3,6,2,5]
[{3},{6},{5},{2},{1,4}]=>[3,6,5,2,1,4]=>[1,3,5,2,6,4]=>[1,5,3,6,2,4]
[{4},{3},{5},{2},{1,6}]=>[4,3,5,2,1,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{4},{3},{6},{2},{1,5}]=>[4,3,6,2,1,5]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]
[{5},{3},{4},{2},{1,6}]=>[5,3,4,2,1,6]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{3},{4},{2},{1,5}]=>[6,3,4,2,1,5]=>[1,6,5,2,3,4]=>[1,5,2,3,6,4]
[{5},{3},{6},{2},{1,4}]=>[5,3,6,2,1,4]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]
[{6},{3},{5},{2},{1,4}]=>[6,3,5,2,1,4]=>[1,6,4,2,3,5]=>[1,4,2,6,3,5]
[{4},{5},{3},{2},{1,6}]=>[4,5,3,2,1,6]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{4},{6},{3},{2},{1,5}]=>[4,6,3,2,1,5]=>[1,4,2,6,5,3]=>[1,4,5,2,6,3]
[{5},{4},{3},{2},{1,6}]=>[5,4,3,2,1,6]=>[1,5,2,4,3,6]=>[1,5,4,2,3,6]
[{6},{4},{3},{2},{1,5}]=>[6,4,3,2,1,5]=>[1,6,5,2,4,3]=>[1,5,4,2,6,3]
[{5},{6},{3},{2},{1,4}]=>[5,6,3,2,1,4]=>[1,5,2,6,4,3]=>[1,5,4,6,2,3]
[{6},{5},{3},{2},{1,4}]=>[6,5,3,2,1,4]=>[1,6,4,2,5,3]=>[1,4,6,5,3,2]
[{4},{5},{6},{2},{1,3}]=>[4,5,6,2,1,3]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{4},{6},{5},{2},{1,3}]=>[4,6,5,2,1,3]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]
[{5},{4},{6},{2},{1,3}]=>[5,4,6,2,1,3]=>[1,5,2,4,3,6]=>[1,5,4,2,3,6]
[{6},{4},{5},{2},{1,3}]=>[6,4,5,2,1,3]=>[1,6,3,5,2,4]=>[1,5,6,2,3,4]
[{5},{6},{4},{2},{1,3}]=>[5,6,4,2,1,3]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]
[{6},{5},{4},{2},{1,3}]=>[6,5,4,2,1,3]=>[1,6,3,4,2,5]=>[1,4,6,3,2,5]
[{3},{4},{5},{6},{1,2}]=>[3,4,5,6,1,2]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[{3},{4},{6},{5},{1,2}]=>[3,4,6,5,1,2]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]
[{3},{5},{4},{6},{1,2}]=>[3,5,4,6,1,2]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]
[{3},{6},{4},{5},{1,2}]=>[3,6,4,5,1,2]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]
[{3},{5},{6},{4},{1,2}]=>[3,5,6,4,1,2]=>[1,3,6,2,5,4]=>[1,6,3,5,2,4]
[{3},{6},{5},{4},{1,2}]=>[3,6,5,4,1,2]=>[1,3,5,2,6,4]=>[1,5,3,6,2,4]
[{4},{3},{5},{6},{1,2}]=>[4,3,5,6,1,2]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]
[{4},{3},{6},{5},{1,2}]=>[4,3,6,5,1,2]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]
[{5},{3},{4},{6},{1,2}]=>[5,3,4,6,1,2]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{3},{4},{5},{1,2}]=>[6,3,4,5,1,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[{5},{3},{6},{4},{1,2}]=>[5,3,6,4,1,2]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]
[{6},{3},{5},{4},{1,2}]=>[6,3,5,4,1,2]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]
[{4},{5},{3},{6},{1,2}]=>[4,5,3,6,1,2]=>[1,4,6,2,5,3]=>[1,6,5,4,2,3]
[{4},{6},{3},{5},{1,2}]=>[4,6,3,5,1,2]=>[1,4,5,2,6,3]=>[1,5,6,4,2,3]
[{5},{4},{3},{6},{1,2}]=>[5,4,3,6,1,2]=>[1,5,2,4,6,3]=>[1,5,6,2,4,3]
[{6},{4},{3},{5},{1,2}]=>[6,4,3,5,1,2]=>[1,6,2,4,5,3]=>[1,6,5,2,4,3]
[{5},{6},{3},{4},{1,2}]=>[5,6,3,4,1,2]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]
[{6},{5},{3},{4},{1,2}]=>[6,5,3,4,1,2]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]
[{4},{5},{6},{3},{1,2}]=>[4,5,6,3,1,2]=>[1,4,3,6,2,5]=>[1,6,4,3,2,5]
[{4},{6},{5},{3},{1,2}]=>[4,6,5,3,1,2]=>[1,4,3,5,2,6]=>[1,5,4,3,2,6]
[{5},{4},{6},{3},{1,2}]=>[5,4,6,3,1,2]=>[1,5,2,4,3,6]=>[1,5,4,2,3,6]
[{6},{4},{5},{3},{1,2}]=>[6,4,5,3,1,2]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]
[{5},{6},{4},{3},{1,2}]=>[5,6,4,3,1,2]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]
[{6},{5},{4},{3},{1,2}]=>[6,5,4,3,1,2]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]
[{1},{2},{3},{4,5},{6}]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{2},{3},{4,6},{5}]=>[1,2,3,4,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{2},{3},{5,6},{4}]=>[1,2,3,5,6,4]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{2},{4},{3,5},{6}]=>[1,2,4,3,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{2},{4},{3,6},{5}]=>[1,2,4,3,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{2},{5},{3,4},{6}]=>[1,2,5,3,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1},{2},{6},{3,4},{5}]=>[1,2,6,3,4,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{1},{2},{5},{3,6},{4}]=>[1,2,5,3,6,4]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]
[{1},{2},{6},{3,5},{4}]=>[1,2,6,3,5,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{1},{2},{4},{5,6},{3}]=>[1,2,4,5,6,3]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{2},{5},{4,6},{3}]=>[1,2,5,4,6,3]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]
[{1},{2},{6},{4,5},{3}]=>[1,2,6,4,5,3]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{1},{3},{2},{4,5},{6}]=>[1,3,2,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{3},{2},{4,6},{5}]=>[1,3,2,4,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{3},{2},{5,6},{4}]=>[1,3,2,5,6,4]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{4},{2},{3,5},{6}]=>[1,4,2,3,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1},{4},{2},{3,6},{5}]=>[1,4,2,3,6,5]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1},{5},{2},{3,4},{6}]=>[1,5,2,3,4,6]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{1},{6},{2},{3,4},{5}]=>[1,6,2,3,4,5]=>[1,2,6,5,4,3]=>[1,2,4,5,6,3]
[{1},{5},{2},{3,6},{4}]=>[1,5,2,3,6,4]=>[1,2,5,6,4,3]=>[1,2,4,6,5,3]
[{1},{6},{2},{3,5},{4}]=>[1,6,2,3,5,4]=>[1,2,6,4,3,5]=>[1,2,4,6,3,5]
[{1},{4},{2},{5,6},{3}]=>[1,4,2,5,6,3]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]
[{1},{5},{2},{4,6},{3}]=>[1,5,2,4,6,3]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]
[{1},{6},{2},{4,5},{3}]=>[1,6,2,4,5,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{1},{3},{4},{2,5},{6}]=>[1,3,4,2,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{3},{4},{2,6},{5}]=>[1,3,4,2,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{3},{5},{2,4},{6}]=>[1,3,5,2,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1},{3},{6},{2,4},{5}]=>[1,3,6,2,4,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{1},{3},{5},{2,6},{4}]=>[1,3,5,2,6,4]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]
[{1},{3},{6},{2,5},{4}]=>[1,3,6,2,5,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{1},{4},{3},{2,5},{6}]=>[1,4,3,2,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1},{4},{3},{2,6},{5}]=>[1,4,3,2,6,5]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1},{5},{3},{2,4},{6}]=>[1,5,3,2,4,6]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{1},{6},{3},{2,4},{5}]=>[1,6,3,2,4,5]=>[1,2,6,5,4,3]=>[1,2,4,5,6,3]
[{1},{5},{3},{2,6},{4}]=>[1,5,3,2,6,4]=>[1,2,5,6,4,3]=>[1,2,4,6,5,3]
[{1},{6},{3},{2,5},{4}]=>[1,6,3,2,5,4]=>[1,2,6,4,3,5]=>[1,2,4,6,3,5]
[{1},{4},{5},{2,3},{6}]=>[1,4,5,2,3,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1},{4},{6},{2,3},{5}]=>[1,4,6,2,3,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{1},{5},{4},{2,3},{6}]=>[1,5,4,2,3,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{1},{6},{4},{2,3},{5}]=>[1,6,4,2,3,5]=>[1,2,6,5,3,4]=>[1,2,5,3,6,4]
[{1},{5},{6},{2,3},{4}]=>[1,5,6,2,3,4]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[{1},{6},{5},{2,3},{4}]=>[1,6,5,2,3,4]=>[1,2,6,4,3,5]=>[1,2,4,6,3,5]
[{1},{4},{5},{2,6},{3}]=>[1,4,5,2,6,3]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1},{4},{6},{2,5},{3}]=>[1,4,6,2,5,3]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{1},{5},{4},{2,6},{3}]=>[1,5,4,2,6,3]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]
[{1},{6},{4},{2,5},{3}]=>[1,6,4,2,5,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{1},{5},{6},{2,4},{3}]=>[1,5,6,2,4,3]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{1},{6},{5},{2,4},{3}]=>[1,6,5,2,4,3]=>[1,2,6,3,5,4]=>[1,2,6,5,3,4]
[{1},{3},{4},{5,6},{2}]=>[1,3,4,5,6,2]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{3},{5},{4,6},{2}]=>[1,3,5,4,6,2]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]
[{1},{3},{6},{4,5},{2}]=>[1,3,6,4,5,2]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{1},{4},{3},{5,6},{2}]=>[1,4,3,5,6,2]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]
[{1},{5},{3},{4,6},{2}]=>[1,5,3,4,6,2]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]
[{1},{6},{3},{4,5},{2}]=>[1,6,3,4,5,2]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{1},{4},{5},{3,6},{2}]=>[1,4,5,3,6,2]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1},{4},{6},{3,5},{2}]=>[1,4,6,3,5,2]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{1},{5},{4},{3,6},{2}]=>[1,5,4,3,6,2]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]
[{1},{6},{4},{3,5},{2}]=>[1,6,4,3,5,2]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{1},{5},{6},{3,4},{2}]=>[1,5,6,3,4,2]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{1},{6},{5},{3,4},{2}]=>[1,6,5,3,4,2]=>[1,2,6,3,5,4]=>[1,2,6,5,3,4]
[{2},{1},{3},{4,5},{6}]=>[2,1,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{1},{3},{4,6},{5}]=>[2,1,3,4,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{1},{3},{5,6},{4}]=>[2,1,3,5,6,4]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{1},{4},{3,5},{6}]=>[2,1,4,3,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{1},{4},{3,6},{5}]=>[2,1,4,3,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{1},{5},{3,4},{6}]=>[2,1,5,3,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{2},{1},{6},{3,4},{5}]=>[2,1,6,3,4,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{2},{1},{5},{3,6},{4}]=>[2,1,5,3,6,4]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]
[{2},{1},{6},{3,5},{4}]=>[2,1,6,3,5,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{2},{1},{4},{5,6},{3}]=>[2,1,4,5,6,3]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{1},{5},{4,6},{3}]=>[2,1,5,4,6,3]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]
[{2},{1},{6},{4,5},{3}]=>[2,1,6,4,5,3]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{3},{1},{2},{4,5},{6}]=>[3,1,2,4,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{1},{2},{4,6},{5}]=>[3,1,2,4,6,5]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{1},{2},{5,6},{4}]=>[3,1,2,5,6,4]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{4},{1},{2},{3,5},{6}]=>[4,1,2,3,5,6]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]
[{4},{1},{2},{3,6},{5}]=>[4,1,2,3,6,5]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]
[{5},{1},{2},{3,4},{6}]=>[5,1,2,3,4,6]=>[1,5,4,3,2,6]=>[1,3,4,5,2,6]
[{6},{1},{2},{3,4},{5}]=>[6,1,2,3,4,5]=>[1,6,5,4,3,2]=>[1,3,4,5,6,2]
[{5},{1},{2},{3,6},{4}]=>[5,1,2,3,6,4]=>[1,5,6,4,3,2]=>[1,3,4,6,5,2]
[{6},{1},{2},{3,5},{4}]=>[6,1,2,3,5,4]=>[1,6,4,3,2,5]=>[1,3,4,6,2,5]
[{4},{1},{2},{5,6},{3}]=>[4,1,2,5,6,3]=>[1,4,5,6,3,2]=>[1,3,6,4,5,2]
[{5},{1},{2},{4,6},{3}]=>[5,1,2,4,6,3]=>[1,5,6,3,2,4]=>[1,3,6,2,5,4]
[{6},{1},{2},{4,5},{3}]=>[6,1,2,4,5,3]=>[1,6,3,2,4,5]=>[1,3,6,2,4,5]
[{3},{1},{4},{2,5},{6}]=>[3,1,4,2,5,6]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]
[{3},{1},{4},{2,6},{5}]=>[3,1,4,2,6,5]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]
[{3},{1},{5},{2,4},{6}]=>[3,1,5,2,4,6]=>[1,3,5,4,2,6]=>[1,4,3,5,2,6]
[{3},{1},{6},{2,4},{5}]=>[3,1,6,2,4,5]=>[1,3,6,5,4,2]=>[1,4,3,5,6,2]
[{3},{1},{5},{2,6},{4}]=>[3,1,5,2,6,4]=>[1,3,5,6,4,2]=>[1,4,3,6,5,2]
[{3},{1},{6},{2,5},{4}]=>[3,1,6,2,5,4]=>[1,3,6,4,2,5]=>[1,4,3,6,2,5]
[{4},{1},{3},{2,5},{6}]=>[4,1,3,2,5,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{4},{1},{3},{2,6},{5}]=>[4,1,3,2,6,5]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{5},{1},{3},{2,4},{6}]=>[5,1,3,2,4,6]=>[1,5,4,2,3,6]=>[1,4,2,5,3,6]
[{6},{1},{3},{2,4},{5}]=>[6,1,3,2,4,5]=>[1,6,5,4,2,3]=>[1,4,2,5,6,3]
[{5},{1},{3},{2,6},{4}]=>[5,1,3,2,6,4]=>[1,5,6,4,2,3]=>[1,4,2,6,5,3]
[{6},{1},{3},{2,5},{4}]=>[6,1,3,2,5,4]=>[1,6,4,2,3,5]=>[1,4,2,6,3,5]
[{4},{1},{5},{2,3},{6}]=>[4,1,5,2,3,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{4},{1},{6},{2,3},{5}]=>[4,1,6,2,3,5]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]
[{5},{1},{4},{2,3},{6}]=>[5,1,4,2,3,6]=>[1,5,3,4,2,6]=>[1,4,5,3,2,6]
[{6},{1},{4},{2,3},{5}]=>[6,1,4,2,3,5]=>[1,6,5,3,4,2]=>[1,4,5,3,6,2]
[{5},{1},{6},{2,3},{4}]=>[5,1,6,2,3,4]=>[1,5,3,6,4,2]=>[1,4,6,5,2,3]
[{6},{1},{5},{2,3},{4}]=>[6,1,5,2,3,4]=>[1,6,4,2,3,5]=>[1,4,2,6,3,5]
[{4},{1},{5},{2,6},{3}]=>[4,1,5,2,6,3]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{4},{1},{6},{2,5},{3}]=>[4,1,6,2,5,3]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]
[{5},{1},{4},{2,6},{3}]=>[5,1,4,2,6,3]=>[1,5,6,3,4,2]=>[1,4,6,3,5,2]
[{6},{1},{4},{2,5},{3}]=>[6,1,4,2,5,3]=>[1,6,3,4,2,5]=>[1,4,6,3,2,5]
[{5},{1},{6},{2,4},{3}]=>[5,1,6,2,4,3]=>[1,5,4,2,3,6]=>[1,4,2,5,3,6]
[{6},{1},{5},{2,4},{3}]=>[6,1,5,2,4,3]=>[1,6,3,5,4,2]=>[1,4,5,6,2,3]
[{3},{1},{4},{5,6},{2}]=>[3,1,4,5,6,2]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2]
[{3},{1},{5},{4,6},{2}]=>[3,1,5,4,6,2]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]
[{3},{1},{6},{4,5},{2}]=>[3,1,6,4,5,2]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]
[{4},{1},{3},{5,6},{2}]=>[4,1,3,5,6,2]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]
[{5},{1},{3},{4,6},{2}]=>[5,1,3,4,6,2]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]
[{6},{1},{3},{4,5},{2}]=>[6,1,3,4,5,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[{4},{1},{5},{3,6},{2}]=>[4,1,5,3,6,2]=>[1,4,3,5,6,2]=>[1,6,4,3,5,2]
[{4},{1},{6},{3,5},{2}]=>[4,1,6,3,5,2]=>[1,4,3,6,2,5]=>[1,6,4,3,2,5]
[{5},{1},{4},{3,6},{2}]=>[5,1,4,3,6,2]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]
[{6},{1},{4},{3,5},{2}]=>[6,1,4,3,5,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[{5},{1},{6},{3,4},{2}]=>[5,1,6,3,4,2]=>[1,5,4,3,6,2]=>[1,6,4,5,3,2]
[{6},{1},{5},{3,4},{2}]=>[6,1,5,3,4,2]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]
[{2},{3},{1},{4,5},{6}]=>[2,3,1,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{3},{1},{4,6},{5}]=>[2,3,1,4,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{3},{1},{5,6},{4}]=>[2,3,1,5,6,4]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{4},{1},{3,5},{6}]=>[2,4,1,3,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2},{4},{1},{3,6},{5}]=>[2,4,1,3,6,5]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2},{5},{1},{3,4},{6}]=>[2,5,1,3,4,6]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{2},{6},{1},{3,4},{5}]=>[2,6,1,3,4,5]=>[1,2,6,5,4,3]=>[1,2,4,5,6,3]
[{2},{5},{1},{3,6},{4}]=>[2,5,1,3,6,4]=>[1,2,5,6,4,3]=>[1,2,4,6,5,3]
[{2},{6},{1},{3,5},{4}]=>[2,6,1,3,5,4]=>[1,2,6,4,3,5]=>[1,2,4,6,3,5]
[{2},{4},{1},{5,6},{3}]=>[2,4,1,5,6,3]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]
[{2},{5},{1},{4,6},{3}]=>[2,5,1,4,6,3]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]
[{2},{6},{1},{4,5},{3}]=>[2,6,1,4,5,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{3},{2},{1},{4,5},{6}]=>[3,2,1,4,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{2},{1},{4,6},{5}]=>[3,2,1,4,6,5]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{2},{1},{5,6},{4}]=>[3,2,1,5,6,4]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{4},{2},{1},{3,5},{6}]=>[4,2,1,3,5,6]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]
[{4},{2},{1},{3,6},{5}]=>[4,2,1,3,6,5]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]
[{5},{2},{1},{3,4},{6}]=>[5,2,1,3,4,6]=>[1,5,4,3,2,6]=>[1,3,4,5,2,6]
[{6},{2},{1},{3,4},{5}]=>[6,2,1,3,4,5]=>[1,6,5,4,3,2]=>[1,3,4,5,6,2]
[{5},{2},{1},{3,6},{4}]=>[5,2,1,3,6,4]=>[1,5,6,4,3,2]=>[1,3,4,6,5,2]
[{6},{2},{1},{3,5},{4}]=>[6,2,1,3,5,4]=>[1,6,4,3,2,5]=>[1,3,4,6,2,5]
[{4},{2},{1},{5,6},{3}]=>[4,2,1,5,6,3]=>[1,4,5,6,3,2]=>[1,3,6,4,5,2]
[{5},{2},{1},{4,6},{3}]=>[5,2,1,4,6,3]=>[1,5,6,3,2,4]=>[1,3,6,2,5,4]
[{6},{2},{1},{4,5},{3}]=>[6,2,1,4,5,3]=>[1,6,3,2,4,5]=>[1,3,6,2,4,5]
[{3},{4},{1},{2,5},{6}]=>[3,4,1,2,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{4},{1},{2,6},{5}]=>[3,4,1,2,6,5]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{5},{1},{2,4},{6}]=>[3,5,1,2,4,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]
[{3},{6},{1},{2,4},{5}]=>[3,6,1,2,4,5]=>[1,3,2,6,5,4]=>[1,3,2,5,6,4]
[{3},{5},{1},{2,6},{4}]=>[3,5,1,2,6,4]=>[1,3,2,5,6,4]=>[1,3,2,6,5,4]
[{3},{6},{1},{2,5},{4}]=>[3,6,1,2,5,4]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]
[{4},{3},{1},{2,5},{6}]=>[4,3,1,2,5,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{4},{3},{1},{2,6},{5}]=>[4,3,1,2,6,5]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{5},{3},{1},{2,4},{6}]=>[5,3,1,2,4,6]=>[1,5,4,2,3,6]=>[1,4,2,5,3,6]
[{6},{3},{1},{2,4},{5}]=>[6,3,1,2,4,5]=>[1,6,5,4,2,3]=>[1,4,2,5,6,3]
[{5},{3},{1},{2,6},{4}]=>[5,3,1,2,6,4]=>[1,5,6,4,2,3]=>[1,4,2,6,5,3]
[{6},{3},{1},{2,5},{4}]=>[6,3,1,2,5,4]=>[1,6,4,2,3,5]=>[1,4,2,6,3,5]
[{4},{5},{1},{2,3},{6}]=>[4,5,1,2,3,6]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{4},{6},{1},{2,3},{5}]=>[4,6,1,2,3,5]=>[1,4,2,6,5,3]=>[1,4,5,2,6,3]
[{5},{4},{1},{2,3},{6}]=>[5,4,1,2,3,6]=>[1,5,3,2,4,6]=>[1,3,5,2,4,6]
[{6},{4},{1},{2,3},{5}]=>[6,4,1,2,3,5]=>[1,6,5,3,2,4]=>[1,3,5,2,6,4]
[{5},{6},{1},{2,3},{4}]=>[5,6,1,2,3,4]=>[1,5,3,2,6,4]=>[1,3,5,6,2,4]
[{6},{5},{1},{2,3},{4}]=>[6,5,1,2,3,4]=>[1,6,4,2,5,3]=>[1,4,6,5,3,2]
[{4},{5},{1},{2,6},{3}]=>[4,5,1,2,6,3]=>[1,4,2,5,6,3]=>[1,4,6,2,5,3]
[{4},{6},{1},{2,5},{3}]=>[4,6,1,2,5,3]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]
[{5},{4},{1},{2,6},{3}]=>[5,4,1,2,6,3]=>[1,5,6,3,2,4]=>[1,3,6,2,5,4]
[{6},{4},{1},{2,5},{3}]=>[6,4,1,2,5,3]=>[1,6,3,2,4,5]=>[1,3,6,2,4,5]
[{5},{6},{1},{2,4},{3}]=>[5,6,1,2,4,3]=>[1,5,4,2,6,3]=>[1,4,5,6,3,2]
[{6},{5},{1},{2,4},{3}]=>[6,5,1,2,4,3]=>[1,6,3,2,5,4]=>[1,3,6,5,2,4]
[{3},{4},{1},{5,6},{2}]=>[3,4,1,5,6,2]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{5},{1},{4,6},{2}]=>[3,5,1,4,6,2]=>[1,3,2,5,6,4]=>[1,3,2,6,5,4]
[{3},{6},{1},{4,5},{2}]=>[3,6,1,4,5,2]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]
[{4},{3},{1},{5,6},{2}]=>[4,3,1,5,6,2]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]
[{5},{3},{1},{4,6},{2}]=>[5,3,1,4,6,2]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]
[{6},{3},{1},{4,5},{2}]=>[6,3,1,4,5,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[{4},{5},{1},{3,6},{2}]=>[4,5,1,3,6,2]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]
[{4},{6},{1},{3,5},{2}]=>[4,6,1,3,5,2]=>[1,4,3,2,6,5]=>[1,3,4,2,6,5]
[{5},{4},{1},{3,6},{2}]=>[5,4,1,3,6,2]=>[1,5,6,2,4,3]=>[1,6,4,2,5,3]
[{6},{4},{1},{3,5},{2}]=>[6,4,1,3,5,2]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]
[{5},{6},{1},{3,4},{2}]=>[5,6,1,3,4,2]=>[1,5,4,3,2,6]=>[1,3,4,5,2,6]
[{6},{5},{1},{3,4},{2}]=>[6,5,1,3,4,2]=>[1,6,2,5,4,3]=>[1,6,4,5,2,3]
[{2},{3},{4},{1,5},{6}]=>[2,3,4,1,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{3},{4},{1,6},{5}]=>[2,3,4,1,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{3},{5},{1,4},{6}]=>[2,3,5,1,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{2},{3},{6},{1,4},{5}]=>[2,3,6,1,4,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{2},{3},{5},{1,6},{4}]=>[2,3,5,1,6,4]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]
[{2},{3},{6},{1,5},{4}]=>[2,3,6,1,5,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{2},{4},{3},{1,5},{6}]=>[2,4,3,1,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2},{4},{3},{1,6},{5}]=>[2,4,3,1,6,5]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2},{5},{3},{1,4},{6}]=>[2,5,3,1,4,6]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{2},{6},{3},{1,4},{5}]=>[2,6,3,1,4,5]=>[1,2,6,5,4,3]=>[1,2,4,5,6,3]
[{2},{5},{3},{1,6},{4}]=>[2,5,3,1,6,4]=>[1,2,5,6,4,3]=>[1,2,4,6,5,3]
[{2},{6},{3},{1,5},{4}]=>[2,6,3,1,5,4]=>[1,2,6,4,3,5]=>[1,2,4,6,3,5]
[{2},{4},{5},{1,3},{6}]=>[2,4,5,1,3,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2},{4},{6},{1,3},{5}]=>[2,4,6,1,3,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{2},{5},{4},{1,3},{6}]=>[2,5,4,1,3,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{2},{6},{4},{1,3},{5}]=>[2,6,4,1,3,5]=>[1,2,6,5,3,4]=>[1,2,5,3,6,4]
[{2},{5},{6},{1,3},{4}]=>[2,5,6,1,3,4]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[{2},{6},{5},{1,3},{4}]=>[2,6,5,1,3,4]=>[1,2,6,4,3,5]=>[1,2,4,6,3,5]
[{2},{4},{5},{1,6},{3}]=>[2,4,5,1,6,3]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2},{4},{6},{1,5},{3}]=>[2,4,6,1,5,3]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{2},{5},{4},{1,6},{3}]=>[2,5,4,1,6,3]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]
[{2},{6},{4},{1,5},{3}]=>[2,6,4,1,5,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{2},{5},{6},{1,4},{3}]=>[2,5,6,1,4,3]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{2},{6},{5},{1,4},{3}]=>[2,6,5,1,4,3]=>[1,2,6,3,5,4]=>[1,2,6,5,3,4]
[{3},{2},{4},{1,5},{6}]=>[3,2,4,1,5,6]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]
[{3},{2},{4},{1,6},{5}]=>[3,2,4,1,6,5]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]
[{3},{2},{5},{1,4},{6}]=>[3,2,5,1,4,6]=>[1,3,5,4,2,6]=>[1,4,3,5,2,6]
[{3},{2},{6},{1,4},{5}]=>[3,2,6,1,4,5]=>[1,3,6,5,4,2]=>[1,4,3,5,6,2]
[{3},{2},{5},{1,6},{4}]=>[3,2,5,1,6,4]=>[1,3,5,6,4,2]=>[1,4,3,6,5,2]
[{3},{2},{6},{1,5},{4}]=>[3,2,6,1,5,4]=>[1,3,6,4,2,5]=>[1,4,3,6,2,5]
[{4},{2},{3},{1,5},{6}]=>[4,2,3,1,5,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{4},{2},{3},{1,6},{5}]=>[4,2,3,1,6,5]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{5},{2},{3},{1,4},{6}]=>[5,2,3,1,4,6]=>[1,5,4,2,3,6]=>[1,4,2,5,3,6]
[{6},{2},{3},{1,4},{5}]=>[6,2,3,1,4,5]=>[1,6,5,4,2,3]=>[1,4,2,5,6,3]
[{5},{2},{3},{1,6},{4}]=>[5,2,3,1,6,4]=>[1,5,6,4,2,3]=>[1,4,2,6,5,3]
[{6},{2},{3},{1,5},{4}]=>[6,2,3,1,5,4]=>[1,6,4,2,3,5]=>[1,4,2,6,3,5]
[{4},{2},{5},{1,3},{6}]=>[4,2,5,1,3,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{4},{2},{6},{1,3},{5}]=>[4,2,6,1,3,5]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]
[{5},{2},{4},{1,3},{6}]=>[5,2,4,1,3,6]=>[1,5,3,4,2,6]=>[1,4,5,3,2,6]
[{6},{2},{4},{1,3},{5}]=>[6,2,4,1,3,5]=>[1,6,5,3,4,2]=>[1,4,5,3,6,2]
[{5},{2},{6},{1,3},{4}]=>[5,2,6,1,3,4]=>[1,5,3,6,4,2]=>[1,4,6,5,2,3]
[{6},{2},{5},{1,3},{4}]=>[6,2,5,1,3,4]=>[1,6,4,2,3,5]=>[1,4,2,6,3,5]
[{4},{2},{5},{1,6},{3}]=>[4,2,5,1,6,3]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{4},{2},{6},{1,5},{3}]=>[4,2,6,1,5,3]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]
[{5},{2},{4},{1,6},{3}]=>[5,2,4,1,6,3]=>[1,5,6,3,4,2]=>[1,4,6,3,5,2]
[{6},{2},{4},{1,5},{3}]=>[6,2,4,1,5,3]=>[1,6,3,4,2,5]=>[1,4,6,3,2,5]
[{5},{2},{6},{1,4},{3}]=>[5,2,6,1,4,3]=>[1,5,4,2,3,6]=>[1,4,2,5,3,6]
[{6},{2},{5},{1,4},{3}]=>[6,2,5,1,4,3]=>[1,6,3,5,4,2]=>[1,4,5,6,2,3]
[{3},{4},{2},{1,5},{6}]=>[3,4,2,1,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{4},{2},{1,6},{5}]=>[3,4,2,1,6,5]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{5},{2},{1,4},{6}]=>[3,5,2,1,4,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]
[{3},{6},{2},{1,4},{5}]=>[3,6,2,1,4,5]=>[1,3,2,6,5,4]=>[1,3,2,5,6,4]
[{3},{5},{2},{1,6},{4}]=>[3,5,2,1,6,4]=>[1,3,2,5,6,4]=>[1,3,2,6,5,4]
[{3},{6},{2},{1,5},{4}]=>[3,6,2,1,5,4]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]
[{4},{3},{2},{1,5},{6}]=>[4,3,2,1,5,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{4},{3},{2},{1,6},{5}]=>[4,3,2,1,6,5]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{5},{3},{2},{1,4},{6}]=>[5,3,2,1,4,6]=>[1,5,4,2,3,6]=>[1,4,2,5,3,6]
[{6},{3},{2},{1,4},{5}]=>[6,3,2,1,4,5]=>[1,6,5,4,2,3]=>[1,4,2,5,6,3]
[{5},{3},{2},{1,6},{4}]=>[5,3,2,1,6,4]=>[1,5,6,4,2,3]=>[1,4,2,6,5,3]
[{6},{3},{2},{1,5},{4}]=>[6,3,2,1,5,4]=>[1,6,4,2,3,5]=>[1,4,2,6,3,5]
[{4},{5},{2},{1,3},{6}]=>[4,5,2,1,3,6]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{4},{6},{2},{1,3},{5}]=>[4,6,2,1,3,5]=>[1,4,2,6,5,3]=>[1,4,5,2,6,3]
[{5},{4},{2},{1,3},{6}]=>[5,4,2,1,3,6]=>[1,5,3,2,4,6]=>[1,3,5,2,4,6]
[{6},{4},{2},{1,3},{5}]=>[6,4,2,1,3,5]=>[1,6,5,3,2,4]=>[1,3,5,2,6,4]
[{5},{6},{2},{1,3},{4}]=>[5,6,2,1,3,4]=>[1,5,3,2,6,4]=>[1,3,5,6,2,4]
[{6},{5},{2},{1,3},{4}]=>[6,5,2,1,3,4]=>[1,6,4,2,5,3]=>[1,4,6,5,3,2]
[{4},{5},{2},{1,6},{3}]=>[4,5,2,1,6,3]=>[1,4,2,5,6,3]=>[1,4,6,2,5,3]
[{4},{6},{2},{1,5},{3}]=>[4,6,2,1,5,3]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]
[{5},{4},{2},{1,6},{3}]=>[5,4,2,1,6,3]=>[1,5,6,3,2,4]=>[1,3,6,2,5,4]
[{6},{4},{2},{1,5},{3}]=>[6,4,2,1,5,3]=>[1,6,3,2,4,5]=>[1,3,6,2,4,5]
[{5},{6},{2},{1,4},{3}]=>[5,6,2,1,4,3]=>[1,5,4,2,6,3]=>[1,4,5,6,3,2]
[{6},{5},{2},{1,4},{3}]=>[6,5,2,1,4,3]=>[1,6,3,2,5,4]=>[1,3,6,5,2,4]
[{3},{4},{5},{1,2},{6}]=>[3,4,5,1,2,6]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[{3},{4},{6},{1,2},{5}]=>[3,4,6,1,2,5]=>[1,3,6,5,2,4]=>[1,5,3,2,6,4]
[{3},{5},{4},{1,2},{6}]=>[3,5,4,1,2,6]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]
[{3},{6},{4},{1,2},{5}]=>[3,6,4,1,2,5]=>[1,3,4,2,6,5]=>[1,4,3,2,6,5]
[{3},{5},{6},{1,2},{4}]=>[3,5,6,1,2,4]=>[1,3,6,4,2,5]=>[1,4,3,6,2,5]
[{3},{6},{5},{1,2},{4}]=>[3,6,5,1,2,4]=>[1,3,5,2,6,4]=>[1,5,3,6,2,4]
[{4},{3},{5},{1,2},{6}]=>[4,3,5,1,2,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{4},{3},{6},{1,2},{5}]=>[4,3,6,1,2,5]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]
[{5},{3},{4},{1,2},{6}]=>[5,3,4,1,2,6]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{3},{4},{1,2},{5}]=>[6,3,4,1,2,5]=>[1,6,5,2,3,4]=>[1,5,2,3,6,4]
[{5},{3},{6},{1,2},{4}]=>[5,3,6,1,2,4]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]
[{6},{3},{5},{1,2},{4}]=>[6,3,5,1,2,4]=>[1,6,4,2,3,5]=>[1,4,2,6,3,5]
[{4},{5},{3},{1,2},{6}]=>[4,5,3,1,2,6]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{4},{6},{3},{1,2},{5}]=>[4,6,3,1,2,5]=>[1,4,2,6,5,3]=>[1,4,5,2,6,3]
[{5},{4},{3},{1,2},{6}]=>[5,4,3,1,2,6]=>[1,5,2,4,3,6]=>[1,5,4,2,3,6]
[{6},{4},{3},{1,2},{5}]=>[6,4,3,1,2,5]=>[1,6,5,2,4,3]=>[1,5,4,2,6,3]
[{5},{6},{3},{1,2},{4}]=>[5,6,3,1,2,4]=>[1,5,2,6,4,3]=>[1,5,4,6,2,3]
[{6},{5},{3},{1,2},{4}]=>[6,5,3,1,2,4]=>[1,6,4,2,5,3]=>[1,4,6,5,3,2]
[{4},{5},{6},{1,2},{3}]=>[4,5,6,1,2,3]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{4},{6},{5},{1,2},{3}]=>[4,6,5,1,2,3]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]
[{5},{4},{6},{1,2},{3}]=>[5,4,6,1,2,3]=>[1,5,2,4,3,6]=>[1,5,4,2,3,6]
[{6},{4},{5},{1,2},{3}]=>[6,4,5,1,2,3]=>[1,6,3,5,2,4]=>[1,5,6,2,3,4]
[{5},{6},{4},{1,2},{3}]=>[5,6,4,1,2,3]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]
[{6},{5},{4},{1,2},{3}]=>[6,5,4,1,2,3]=>[1,6,3,4,2,5]=>[1,4,6,3,2,5]
[{3},{4},{5},{1,6},{2}]=>[3,4,5,1,6,2]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]
[{3},{4},{6},{1,5},{2}]=>[3,4,6,1,5,2]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]
[{3},{5},{4},{1,6},{2}]=>[3,5,4,1,6,2]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]
[{3},{6},{4},{1,5},{2}]=>[3,6,4,1,5,2]=>[1,3,4,2,6,5]=>[1,4,3,2,6,5]
[{3},{5},{6},{1,4},{2}]=>[3,5,6,1,4,2]=>[1,3,6,2,5,4]=>[1,6,3,5,2,4]
[{3},{6},{5},{1,4},{2}]=>[3,6,5,1,4,2]=>[1,3,5,4,2,6]=>[1,4,3,5,2,6]
[{4},{3},{5},{1,6},{2}]=>[4,3,5,1,6,2]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{4},{3},{6},{1,5},{2}]=>[4,3,6,1,5,2]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]
[{5},{3},{4},{1,6},{2}]=>[5,3,4,1,6,2]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]
[{6},{3},{4},{1,5},{2}]=>[6,3,4,1,5,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[{5},{3},{6},{1,4},{2}]=>[5,3,6,1,4,2]=>[1,5,4,2,3,6]=>[1,4,2,5,3,6]
[{6},{3},{5},{1,4},{2}]=>[6,3,5,1,4,2]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]
[{4},{5},{3},{1,6},{2}]=>[4,5,3,1,6,2]=>[1,4,2,5,6,3]=>[1,4,6,2,5,3]
[{4},{6},{3},{1,5},{2}]=>[4,6,3,1,5,2]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]
[{5},{4},{3},{1,6},{2}]=>[5,4,3,1,6,2]=>[1,5,6,2,4,3]=>[1,6,4,2,5,3]
[{6},{4},{3},{1,5},{2}]=>[6,4,3,1,5,2]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]
[{5},{6},{3},{1,4},{2}]=>[5,6,3,1,4,2]=>[1,5,4,2,6,3]=>[1,4,5,6,3,2]
[{6},{5},{3},{1,4},{2}]=>[6,5,3,1,4,2]=>[1,6,2,5,4,3]=>[1,6,4,5,2,3]
[{4},{5},{6},{1,3},{2}]=>[4,5,6,1,3,2]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{4},{6},{5},{1,3},{2}]=>[4,6,5,1,3,2]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]
[{5},{4},{6},{1,3},{2}]=>[5,4,6,1,3,2]=>[1,5,3,6,2,4]=>[1,6,5,2,3,4]
[{6},{4},{5},{1,3},{2}]=>[6,4,5,1,3,2]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]
[{5},{6},{4},{1,3},{2}]=>[5,6,4,1,3,2]=>[1,5,3,4,2,6]=>[1,4,5,3,2,6]
[{6},{5},{4},{1,3},{2}]=>[6,5,4,1,3,2]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]
[{2},{3},{4},{5,6},{1}]=>[2,3,4,5,6,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{3},{5},{4,6},{1}]=>[2,3,5,4,6,1]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]
[{2},{3},{6},{4,5},{1}]=>[2,3,6,4,5,1]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{2},{4},{3},{5,6},{1}]=>[2,4,3,5,6,1]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]
[{2},{5},{3},{4,6},{1}]=>[2,5,3,4,6,1]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]
[{2},{6},{3},{4,5},{1}]=>[2,6,3,4,5,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{2},{4},{5},{3,6},{1}]=>[2,4,5,3,6,1]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2},{4},{6},{3,5},{1}]=>[2,4,6,3,5,1]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{2},{5},{4},{3,6},{1}]=>[2,5,4,3,6,1]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]
[{2},{6},{4},{3,5},{1}]=>[2,6,4,3,5,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{2},{5},{6},{3,4},{1}]=>[2,5,6,3,4,1]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{2},{6},{5},{3,4},{1}]=>[2,6,5,3,4,1]=>[1,2,6,3,5,4]=>[1,2,6,5,3,4]
[{3},{2},{4},{5,6},{1}]=>[3,2,4,5,6,1]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2]
[{3},{2},{5},{4,6},{1}]=>[3,2,5,4,6,1]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]
[{3},{2},{6},{4,5},{1}]=>[3,2,6,4,5,1]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]
[{4},{2},{3},{5,6},{1}]=>[4,2,3,5,6,1]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]
[{5},{2},{3},{4,6},{1}]=>[5,2,3,4,6,1]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]
[{6},{2},{3},{4,5},{1}]=>[6,2,3,4,5,1]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[{4},{2},{5},{3,6},{1}]=>[4,2,5,3,6,1]=>[1,4,3,5,6,2]=>[1,6,4,3,5,2]
[{4},{2},{6},{3,5},{1}]=>[4,2,6,3,5,1]=>[1,4,3,6,2,5]=>[1,6,4,3,2,5]
[{5},{2},{4},{3,6},{1}]=>[5,2,4,3,6,1]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]
[{6},{2},{4},{3,5},{1}]=>[6,2,4,3,5,1]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[{5},{2},{6},{3,4},{1}]=>[5,2,6,3,4,1]=>[1,5,4,3,6,2]=>[1,6,4,5,3,2]
[{6},{2},{5},{3,4},{1}]=>[6,2,5,3,4,1]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]
[{3},{4},{2},{5,6},{1}]=>[3,4,2,5,6,1]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{5},{2},{4,6},{1}]=>[3,5,2,4,6,1]=>[1,3,2,5,6,4]=>[1,3,2,6,5,4]
[{3},{6},{2},{4,5},{1}]=>[3,6,2,4,5,1]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]
[{4},{3},{2},{5,6},{1}]=>[4,3,2,5,6,1]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]
[{5},{3},{2},{4,6},{1}]=>[5,3,2,4,6,1]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]
[{6},{3},{2},{4,5},{1}]=>[6,3,2,4,5,1]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[{4},{5},{2},{3,6},{1}]=>[4,5,2,3,6,1]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]
[{4},{6},{2},{3,5},{1}]=>[4,6,2,3,5,1]=>[1,4,3,2,6,5]=>[1,3,4,2,6,5]
[{5},{4},{2},{3,6},{1}]=>[5,4,2,3,6,1]=>[1,5,6,2,4,3]=>[1,6,4,2,5,3]
[{6},{4},{2},{3,5},{1}]=>[6,4,2,3,5,1]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]
[{5},{6},{2},{3,4},{1}]=>[5,6,2,3,4,1]=>[1,5,4,3,2,6]=>[1,3,4,5,2,6]
[{6},{5},{2},{3,4},{1}]=>[6,5,2,3,4,1]=>[1,6,2,5,4,3]=>[1,6,4,5,2,3]
[{3},{4},{5},{2,6},{1}]=>[3,4,5,2,6,1]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]
[{3},{4},{6},{2,5},{1}]=>[3,4,6,2,5,1]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]
[{3},{5},{4},{2,6},{1}]=>[3,5,4,2,6,1]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]
[{3},{6},{4},{2,5},{1}]=>[3,6,4,2,5,1]=>[1,3,4,2,6,5]=>[1,4,3,2,6,5]
[{3},{5},{6},{2,4},{1}]=>[3,5,6,2,4,1]=>[1,3,6,2,5,4]=>[1,6,3,5,2,4]
[{3},{6},{5},{2,4},{1}]=>[3,6,5,2,4,1]=>[1,3,5,4,2,6]=>[1,4,3,5,2,6]
[{4},{3},{5},{2,6},{1}]=>[4,3,5,2,6,1]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{4},{3},{6},{2,5},{1}]=>[4,3,6,2,5,1]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]
[{5},{3},{4},{2,6},{1}]=>[5,3,4,2,6,1]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]
[{6},{3},{4},{2,5},{1}]=>[6,3,4,2,5,1]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[{5},{3},{6},{2,4},{1}]=>[5,3,6,2,4,1]=>[1,5,4,2,3,6]=>[1,4,2,5,3,6]
[{6},{3},{5},{2,4},{1}]=>[6,3,5,2,4,1]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]
[{4},{5},{3},{2,6},{1}]=>[4,5,3,2,6,1]=>[1,4,2,5,6,3]=>[1,4,6,2,5,3]
[{4},{6},{3},{2,5},{1}]=>[4,6,3,2,5,1]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]
[{5},{4},{3},{2,6},{1}]=>[5,4,3,2,6,1]=>[1,5,6,2,4,3]=>[1,6,4,2,5,3]
[{6},{4},{3},{2,5},{1}]=>[6,4,3,2,5,1]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]
[{5},{6},{3},{2,4},{1}]=>[5,6,3,2,4,1]=>[1,5,4,2,6,3]=>[1,4,5,6,3,2]
[{6},{5},{3},{2,4},{1}]=>[6,5,3,2,4,1]=>[1,6,2,5,4,3]=>[1,6,4,5,2,3]
[{4},{5},{6},{2,3},{1}]=>[4,5,6,2,3,1]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{4},{6},{5},{2,3},{1}]=>[4,6,5,2,3,1]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]
[{5},{4},{6},{2,3},{1}]=>[5,4,6,2,3,1]=>[1,5,3,6,2,4]=>[1,6,5,2,3,4]
[{6},{4},{5},{2,3},{1}]=>[6,4,5,2,3,1]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]
[{5},{6},{4},{2,3},{1}]=>[5,6,4,2,3,1]=>[1,5,3,4,2,6]=>[1,4,5,3,2,6]
[{6},{5},{4},{2,3},{1}]=>[6,5,4,2,3,1]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]
[{1},{2},{3},{4,5,6}]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{2},{4},{3,5,6}]=>[1,2,4,3,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{2},{5},{3,4,6}]=>[1,2,5,3,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1},{2},{6},{3,4,5}]=>[1,2,6,3,4,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{1},{3},{2},{4,5,6}]=>[1,3,2,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{4},{2},{3,5,6}]=>[1,4,2,3,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1},{5},{2},{3,4,6}]=>[1,5,2,3,4,6]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{1},{6},{2},{3,4,5}]=>[1,6,2,3,4,5]=>[1,2,6,5,4,3]=>[1,2,4,5,6,3]
[{1},{3},{4},{2,5,6}]=>[1,3,4,2,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{3},{5},{2,4,6}]=>[1,3,5,2,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1},{3},{6},{2,4,5}]=>[1,3,6,2,4,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{1},{4},{3},{2,5,6}]=>[1,4,3,2,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1},{5},{3},{2,4,6}]=>[1,5,3,2,4,6]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{1},{6},{3},{2,4,5}]=>[1,6,3,2,4,5]=>[1,2,6,5,4,3]=>[1,2,4,5,6,3]
[{1},{4},{5},{2,3,6}]=>[1,4,5,2,3,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1},{4},{6},{2,3,5}]=>[1,4,6,2,3,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{1},{5},{4},{2,3,6}]=>[1,5,4,2,3,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{1},{6},{4},{2,3,5}]=>[1,6,4,2,3,5]=>[1,2,6,5,3,4]=>[1,2,5,3,6,4]
[{1},{5},{6},{2,3,4}]=>[1,5,6,2,3,4]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[{1},{6},{5},{2,3,4}]=>[1,6,5,2,3,4]=>[1,2,6,4,3,5]=>[1,2,4,6,3,5]
[{2},{1},{3},{4,5,6}]=>[2,1,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{1},{4},{3,5,6}]=>[2,1,4,3,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{1},{5},{3,4,6}]=>[2,1,5,3,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{2},{1},{6},{3,4,5}]=>[2,1,6,3,4,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{3},{1},{2},{4,5,6}]=>[3,1,2,4,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{4},{1},{2},{3,5,6}]=>[4,1,2,3,5,6]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]
[{5},{1},{2},{3,4,6}]=>[5,1,2,3,4,6]=>[1,5,4,3,2,6]=>[1,3,4,5,2,6]
[{6},{1},{2},{3,4,5}]=>[6,1,2,3,4,5]=>[1,6,5,4,3,2]=>[1,3,4,5,6,2]
[{3},{1},{4},{2,5,6}]=>[3,1,4,2,5,6]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]
[{3},{1},{5},{2,4,6}]=>[3,1,5,2,4,6]=>[1,3,5,4,2,6]=>[1,4,3,5,2,6]
[{3},{1},{6},{2,4,5}]=>[3,1,6,2,4,5]=>[1,3,6,5,4,2]=>[1,4,3,5,6,2]
[{4},{1},{3},{2,5,6}]=>[4,1,3,2,5,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{5},{1},{3},{2,4,6}]=>[5,1,3,2,4,6]=>[1,5,4,2,3,6]=>[1,4,2,5,3,6]
[{6},{1},{3},{2,4,5}]=>[6,1,3,2,4,5]=>[1,6,5,4,2,3]=>[1,4,2,5,6,3]
[{4},{1},{5},{2,3,6}]=>[4,1,5,2,3,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{4},{1},{6},{2,3,5}]=>[4,1,6,2,3,5]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]
[{5},{1},{4},{2,3,6}]=>[5,1,4,2,3,6]=>[1,5,3,4,2,6]=>[1,4,5,3,2,6]
[{6},{1},{4},{2,3,5}]=>[6,1,4,2,3,5]=>[1,6,5,3,4,2]=>[1,4,5,3,6,2]
[{5},{1},{6},{2,3,4}]=>[5,1,6,2,3,4]=>[1,5,3,6,4,2]=>[1,4,6,5,2,3]
[{6},{1},{5},{2,3,4}]=>[6,1,5,2,3,4]=>[1,6,4,2,3,5]=>[1,4,2,6,3,5]
[{2},{3},{1},{4,5,6}]=>[2,3,1,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{4},{1},{3,5,6}]=>[2,4,1,3,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2},{5},{1},{3,4,6}]=>[2,5,1,3,4,6]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{2},{6},{1},{3,4,5}]=>[2,6,1,3,4,5]=>[1,2,6,5,4,3]=>[1,2,4,5,6,3]
[{3},{2},{1},{4,5,6}]=>[3,2,1,4,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{4},{2},{1},{3,5,6}]=>[4,2,1,3,5,6]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]
[{5},{2},{1},{3,4,6}]=>[5,2,1,3,4,6]=>[1,5,4,3,2,6]=>[1,3,4,5,2,6]
[{6},{2},{1},{3,4,5}]=>[6,2,1,3,4,5]=>[1,6,5,4,3,2]=>[1,3,4,5,6,2]
[{3},{4},{1},{2,5,6}]=>[3,4,1,2,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{5},{1},{2,4,6}]=>[3,5,1,2,4,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]
[{3},{6},{1},{2,4,5}]=>[3,6,1,2,4,5]=>[1,3,2,6,5,4]=>[1,3,2,5,6,4]
[{4},{3},{1},{2,5,6}]=>[4,3,1,2,5,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{5},{3},{1},{2,4,6}]=>[5,3,1,2,4,6]=>[1,5,4,2,3,6]=>[1,4,2,5,3,6]
[{6},{3},{1},{2,4,5}]=>[6,3,1,2,4,5]=>[1,6,5,4,2,3]=>[1,4,2,5,6,3]
[{4},{5},{1},{2,3,6}]=>[4,5,1,2,3,6]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{4},{6},{1},{2,3,5}]=>[4,6,1,2,3,5]=>[1,4,2,6,5,3]=>[1,4,5,2,6,3]
[{5},{4},{1},{2,3,6}]=>[5,4,1,2,3,6]=>[1,5,3,2,4,6]=>[1,3,5,2,4,6]
[{6},{4},{1},{2,3,5}]=>[6,4,1,2,3,5]=>[1,6,5,3,2,4]=>[1,3,5,2,6,4]
[{5},{6},{1},{2,3,4}]=>[5,6,1,2,3,4]=>[1,5,3,2,6,4]=>[1,3,5,6,2,4]
[{6},{5},{1},{2,3,4}]=>[6,5,1,2,3,4]=>[1,6,4,2,5,3]=>[1,4,6,5,3,2]
[{2},{3},{4},{1,5,6}]=>[2,3,4,1,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{3},{5},{1,4,6}]=>[2,3,5,1,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{2},{3},{6},{1,4,5}]=>[2,3,6,1,4,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{2},{4},{3},{1,5,6}]=>[2,4,3,1,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2},{5},{3},{1,4,6}]=>[2,5,3,1,4,6]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{2},{6},{3},{1,4,5}]=>[2,6,3,1,4,5]=>[1,2,6,5,4,3]=>[1,2,4,5,6,3]
[{2},{4},{5},{1,3,6}]=>[2,4,5,1,3,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2},{4},{6},{1,3,5}]=>[2,4,6,1,3,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{2},{5},{4},{1,3,6}]=>[2,5,4,1,3,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{2},{6},{4},{1,3,5}]=>[2,6,4,1,3,5]=>[1,2,6,5,3,4]=>[1,2,5,3,6,4]
[{2},{5},{6},{1,3,4}]=>[2,5,6,1,3,4]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[{2},{6},{5},{1,3,4}]=>[2,6,5,1,3,4]=>[1,2,6,4,3,5]=>[1,2,4,6,3,5]
[{3},{2},{4},{1,5,6}]=>[3,2,4,1,5,6]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]
[{3},{2},{5},{1,4,6}]=>[3,2,5,1,4,6]=>[1,3,5,4,2,6]=>[1,4,3,5,2,6]
[{3},{2},{6},{1,4,5}]=>[3,2,6,1,4,5]=>[1,3,6,5,4,2]=>[1,4,3,5,6,2]
[{4},{2},{3},{1,5,6}]=>[4,2,3,1,5,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{5},{2},{3},{1,4,6}]=>[5,2,3,1,4,6]=>[1,5,4,2,3,6]=>[1,4,2,5,3,6]
[{6},{2},{3},{1,4,5}]=>[6,2,3,1,4,5]=>[1,6,5,4,2,3]=>[1,4,2,5,6,3]
[{4},{2},{5},{1,3,6}]=>[4,2,5,1,3,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{4},{2},{6},{1,3,5}]=>[4,2,6,1,3,5]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]
[{5},{2},{4},{1,3,6}]=>[5,2,4,1,3,6]=>[1,5,3,4,2,6]=>[1,4,5,3,2,6]
[{6},{2},{4},{1,3,5}]=>[6,2,4,1,3,5]=>[1,6,5,3,4,2]=>[1,4,5,3,6,2]
[{5},{2},{6},{1,3,4}]=>[5,2,6,1,3,4]=>[1,5,3,6,4,2]=>[1,4,6,5,2,3]
[{6},{2},{5},{1,3,4}]=>[6,2,5,1,3,4]=>[1,6,4,2,3,5]=>[1,4,2,6,3,5]
[{3},{4},{2},{1,5,6}]=>[3,4,2,1,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{5},{2},{1,4,6}]=>[3,5,2,1,4,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]
[{3},{6},{2},{1,4,5}]=>[3,6,2,1,4,5]=>[1,3,2,6,5,4]=>[1,3,2,5,6,4]
[{4},{3},{2},{1,5,6}]=>[4,3,2,1,5,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{5},{3},{2},{1,4,6}]=>[5,3,2,1,4,6]=>[1,5,4,2,3,6]=>[1,4,2,5,3,6]
[{6},{3},{2},{1,4,5}]=>[6,3,2,1,4,5]=>[1,6,5,4,2,3]=>[1,4,2,5,6,3]
[{4},{5},{2},{1,3,6}]=>[4,5,2,1,3,6]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{4},{6},{2},{1,3,5}]=>[4,6,2,1,3,5]=>[1,4,2,6,5,3]=>[1,4,5,2,6,3]
[{5},{4},{2},{1,3,6}]=>[5,4,2,1,3,6]=>[1,5,3,2,4,6]=>[1,3,5,2,4,6]
[{6},{4},{2},{1,3,5}]=>[6,4,2,1,3,5]=>[1,6,5,3,2,4]=>[1,3,5,2,6,4]
[{5},{6},{2},{1,3,4}]=>[5,6,2,1,3,4]=>[1,5,3,2,6,4]=>[1,3,5,6,2,4]
[{6},{5},{2},{1,3,4}]=>[6,5,2,1,3,4]=>[1,6,4,2,5,3]=>[1,4,6,5,3,2]
[{3},{4},{5},{1,2,6}]=>[3,4,5,1,2,6]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[{3},{4},{6},{1,2,5}]=>[3,4,6,1,2,5]=>[1,3,6,5,2,4]=>[1,5,3,2,6,4]
[{3},{5},{4},{1,2,6}]=>[3,5,4,1,2,6]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]
[{3},{6},{4},{1,2,5}]=>[3,6,4,1,2,5]=>[1,3,4,2,6,5]=>[1,4,3,2,6,5]
[{3},{5},{6},{1,2,4}]=>[3,5,6,1,2,4]=>[1,3,6,4,2,5]=>[1,4,3,6,2,5]
[{3},{6},{5},{1,2,4}]=>[3,6,5,1,2,4]=>[1,3,5,2,6,4]=>[1,5,3,6,2,4]
[{4},{3},{5},{1,2,6}]=>[4,3,5,1,2,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{4},{3},{6},{1,2,5}]=>[4,3,6,1,2,5]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]
[{5},{3},{4},{1,2,6}]=>[5,3,4,1,2,6]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{3},{4},{1,2,5}]=>[6,3,4,1,2,5]=>[1,6,5,2,3,4]=>[1,5,2,3,6,4]
[{5},{3},{6},{1,2,4}]=>[5,3,6,1,2,4]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]
[{6},{3},{5},{1,2,4}]=>[6,3,5,1,2,4]=>[1,6,4,2,3,5]=>[1,4,2,6,3,5]
[{4},{5},{3},{1,2,6}]=>[4,5,3,1,2,6]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{4},{6},{3},{1,2,5}]=>[4,6,3,1,2,5]=>[1,4,2,6,5,3]=>[1,4,5,2,6,3]
[{5},{4},{3},{1,2,6}]=>[5,4,3,1,2,6]=>[1,5,2,4,3,6]=>[1,5,4,2,3,6]
[{6},{4},{3},{1,2,5}]=>[6,4,3,1,2,5]=>[1,6,5,2,4,3]=>[1,5,4,2,6,3]
[{5},{6},{3},{1,2,4}]=>[5,6,3,1,2,4]=>[1,5,2,6,4,3]=>[1,5,4,6,2,3]
[{6},{5},{3},{1,2,4}]=>[6,5,3,1,2,4]=>[1,6,4,2,5,3]=>[1,4,6,5,3,2]
[{4},{5},{6},{1,2,3}]=>[4,5,6,1,2,3]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{4},{6},{5},{1,2,3}]=>[4,6,5,1,2,3]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]
[{5},{4},{6},{1,2,3}]=>[5,4,6,1,2,3]=>[1,5,2,4,3,6]=>[1,5,4,2,3,6]
[{6},{4},{5},{1,2,3}]=>[6,4,5,1,2,3]=>[1,6,3,5,2,4]=>[1,5,6,2,3,4]
[{5},{6},{4},{1,2,3}]=>[5,6,4,1,2,3]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]
[{6},{5},{4},{1,2,3}]=>[6,5,4,1,2,3]=>[1,6,3,4,2,5]=>[1,4,6,3,2,5]
[{1},{2},{3,4},{5},{6}]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{2},{3,4},{6},{5}]=>[1,2,3,4,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{2},{3,5},{4},{6}]=>[1,2,3,5,4,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{2},{3,6},{4},{5}]=>[1,2,3,6,4,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1},{2},{3,5},{6},{4}]=>[1,2,3,5,6,4]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{2},{3,6},{5},{4}]=>[1,2,3,6,5,4]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1},{2},{4,5},{3},{6}]=>[1,2,4,5,3,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{2},{4,6},{3},{5}]=>[1,2,4,6,3,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1},{2},{5,6},{3},{4}]=>[1,2,5,6,3,4]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1},{2},{4,5},{6},{3}]=>[1,2,4,5,6,3]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{2},{4,6},{5},{3}]=>[1,2,4,6,5,3]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1},{2},{5,6},{4},{3}]=>[1,2,5,6,4,3]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1},{3},{2,4},{5},{6}]=>[1,3,2,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{3},{2,4},{6},{5}]=>[1,3,2,4,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{3},{2,5},{4},{6}]=>[1,3,2,5,4,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{3},{2,6},{4},{5}]=>[1,3,2,6,4,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1},{3},{2,5},{6},{4}]=>[1,3,2,5,6,4]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{3},{2,6},{5},{4}]=>[1,3,2,6,5,4]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1},{4},{2,3},{5},{6}]=>[1,4,2,3,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1},{4},{2,3},{6},{5}]=>[1,4,2,3,6,5]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1},{5},{2,3},{4},{6}]=>[1,5,2,3,4,6]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{1},{6},{2,3},{4},{5}]=>[1,6,2,3,4,5]=>[1,2,6,5,4,3]=>[1,2,4,5,6,3]
[{1},{5},{2,3},{6},{4}]=>[1,5,2,3,6,4]=>[1,2,5,6,4,3]=>[1,2,4,6,5,3]
[{1},{6},{2,3},{5},{4}]=>[1,6,2,3,5,4]=>[1,2,6,4,3,5]=>[1,2,4,6,3,5]
[{1},{4},{2,5},{3},{6}]=>[1,4,2,5,3,6]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]
[{1},{4},{2,6},{3},{5}]=>[1,4,2,6,3,5]=>[1,2,4,6,5,3]=>[1,2,5,4,6,3]
[{1},{5},{2,4},{3},{6}]=>[1,5,2,4,3,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{1},{6},{2,4},{3},{5}]=>[1,6,2,4,3,5]=>[1,2,6,5,3,4]=>[1,2,5,3,6,4]
[{1},{5},{2,6},{3},{4}]=>[1,5,2,6,3,4]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{1},{6},{2,5},{3},{4}]=>[1,6,2,5,3,4]=>[1,2,6,4,5,3]=>[1,2,5,6,4,3]
[{1},{4},{2,5},{6},{3}]=>[1,4,2,5,6,3]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]
[{1},{4},{2,6},{5},{3}]=>[1,4,2,6,5,3]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]
[{1},{5},{2,4},{6},{3}]=>[1,5,2,4,6,3]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]
[{1},{6},{2,4},{5},{3}]=>[1,6,2,4,5,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{1},{5},{2,6},{4},{3}]=>[1,5,2,6,4,3]=>[1,2,5,4,6,3]=>[1,2,6,5,4,3]
[{1},{6},{2,5},{4},{3}]=>[1,6,2,5,4,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{1},{3},{4,5},{2},{6}]=>[1,3,4,5,2,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{3},{4,6},{2},{5}]=>[1,3,4,6,2,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1},{3},{5,6},{2},{4}]=>[1,3,5,6,2,4]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1},{4},{3,5},{2},{6}]=>[1,4,3,5,2,6]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]
[{1},{4},{3,6},{2},{5}]=>[1,4,3,6,2,5]=>[1,2,4,6,5,3]=>[1,2,5,4,6,3]
[{1},{5},{3,4},{2},{6}]=>[1,5,3,4,2,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{1},{6},{3,4},{2},{5}]=>[1,6,3,4,2,5]=>[1,2,6,5,3,4]=>[1,2,5,3,6,4]
[{1},{5},{3,6},{2},{4}]=>[1,5,3,6,2,4]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{1},{6},{3,5},{2},{4}]=>[1,6,3,5,2,4]=>[1,2,6,4,5,3]=>[1,2,5,6,4,3]
[{1},{4},{5,6},{2},{3}]=>[1,4,5,6,2,3]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]
[{1},{5},{4,6},{2},{3}]=>[1,5,4,6,2,3]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{1},{6},{4,5},{2},{3}]=>[1,6,4,5,2,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{1},{3},{4,5},{6},{2}]=>[1,3,4,5,6,2]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{3},{4,6},{5},{2}]=>[1,3,4,6,5,2]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1},{3},{5,6},{4},{2}]=>[1,3,5,6,4,2]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1},{4},{3,5},{6},{2}]=>[1,4,3,5,6,2]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]
[{1},{4},{3,6},{5},{2}]=>[1,4,3,6,5,2]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]
[{1},{5},{3,4},{6},{2}]=>[1,5,3,4,6,2]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]
[{1},{6},{3,4},{5},{2}]=>[1,6,3,4,5,2]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{1},{5},{3,6},{4},{2}]=>[1,5,3,6,4,2]=>[1,2,5,4,6,3]=>[1,2,6,5,4,3]
[{1},{6},{3,5},{4},{2}]=>[1,6,3,5,4,2]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{1},{4},{5,6},{3},{2}]=>[1,4,5,6,3,2]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]
[{1},{5},{4,6},{3},{2}]=>[1,5,4,6,3,2]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{1},{6},{4,5},{3},{2}]=>[1,6,4,5,3,2]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{2},{1},{3,4},{5},{6}]=>[2,1,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{1},{3,4},{6},{5}]=>[2,1,3,4,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{1},{3,5},{4},{6}]=>[2,1,3,5,4,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{1},{3,6},{4},{5}]=>[2,1,3,6,4,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{2},{1},{3,5},{6},{4}]=>[2,1,3,5,6,4]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{1},{3,6},{5},{4}]=>[2,1,3,6,5,4]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{2},{1},{4,5},{3},{6}]=>[2,1,4,5,3,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{1},{4,6},{3},{5}]=>[2,1,4,6,3,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{2},{1},{5,6},{3},{4}]=>[2,1,5,6,3,4]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{2},{1},{4,5},{6},{3}]=>[2,1,4,5,6,3]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{1},{4,6},{5},{3}]=>[2,1,4,6,5,3]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{2},{1},{5,6},{4},{3}]=>[2,1,5,6,4,3]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{3},{1},{2,4},{5},{6}]=>[3,1,2,4,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{1},{2,4},{6},{5}]=>[3,1,2,4,6,5]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{1},{2,5},{4},{6}]=>[3,1,2,5,4,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{1},{2,6},{4},{5}]=>[3,1,2,6,4,5]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]
[{3},{1},{2,5},{6},{4}]=>[3,1,2,5,6,4]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{1},{2,6},{5},{4}]=>[3,1,2,6,5,4]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]
[{4},{1},{2,3},{5},{6}]=>[4,1,2,3,5,6]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]
[{4},{1},{2,3},{6},{5}]=>[4,1,2,3,6,5]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]
[{5},{1},{2,3},{4},{6}]=>[5,1,2,3,4,6]=>[1,5,4,3,2,6]=>[1,3,4,5,2,6]
[{6},{1},{2,3},{4},{5}]=>[6,1,2,3,4,5]=>[1,6,5,4,3,2]=>[1,3,4,5,6,2]
[{5},{1},{2,3},{6},{4}]=>[5,1,2,3,6,4]=>[1,5,6,4,3,2]=>[1,3,4,6,5,2]
[{6},{1},{2,3},{5},{4}]=>[6,1,2,3,5,4]=>[1,6,4,3,2,5]=>[1,3,4,6,2,5]
[{4},{1},{2,5},{3},{6}]=>[4,1,2,5,3,6]=>[1,4,5,3,2,6]=>[1,3,5,4,2,6]
[{4},{1},{2,6},{3},{5}]=>[4,1,2,6,3,5]=>[1,4,6,5,3,2]=>[1,3,5,4,6,2]
[{5},{1},{2,4},{3},{6}]=>[5,1,2,4,3,6]=>[1,5,3,2,4,6]=>[1,3,5,2,4,6]
[{6},{1},{2,4},{3},{5}]=>[6,1,2,4,3,5]=>[1,6,5,3,2,4]=>[1,3,5,2,6,4]
[{5},{1},{2,6},{3},{4}]=>[5,1,2,6,3,4]=>[1,5,3,2,4,6]=>[1,3,5,2,4,6]
[{6},{1},{2,5},{3},{4}]=>[6,1,2,5,3,4]=>[1,6,4,5,3,2]=>[1,3,5,6,4,2]
[{4},{1},{2,5},{6},{3}]=>[4,1,2,5,6,3]=>[1,4,5,6,3,2]=>[1,3,6,4,5,2]
[{4},{1},{2,6},{5},{3}]=>[4,1,2,6,5,3]=>[1,4,6,3,2,5]=>[1,3,6,4,2,5]
[{5},{1},{2,4},{6},{3}]=>[5,1,2,4,6,3]=>[1,5,6,3,2,4]=>[1,3,6,2,5,4]
[{6},{1},{2,4},{5},{3}]=>[6,1,2,4,5,3]=>[1,6,3,2,4,5]=>[1,3,6,2,4,5]
[{5},{1},{2,6},{4},{3}]=>[5,1,2,6,4,3]=>[1,5,4,6,3,2]=>[1,3,6,5,4,2]
[{6},{1},{2,5},{4},{3}]=>[6,1,2,5,4,3]=>[1,6,3,2,4,5]=>[1,3,6,2,4,5]
[{3},{1},{4,5},{2},{6}]=>[3,1,4,5,2,6]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]
[{3},{1},{4,6},{2},{5}]=>[3,1,4,6,2,5]=>[1,3,4,6,5,2]=>[1,5,3,4,6,2]
[{3},{1},{5,6},{2},{4}]=>[3,1,5,6,2,4]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[{4},{1},{3,5},{2},{6}]=>[4,1,3,5,2,6]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]
[{4},{1},{3,6},{2},{5}]=>[4,1,3,6,2,5]=>[1,4,6,5,2,3]=>[1,5,2,4,6,3]
[{5},{1},{3,4},{2},{6}]=>[5,1,3,4,2,6]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{1},{3,4},{2},{5}]=>[6,1,3,4,2,5]=>[1,6,5,2,3,4]=>[1,5,2,3,6,4]
[{5},{1},{3,6},{2},{4}]=>[5,1,3,6,2,4]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{1},{3,5},{2},{4}]=>[6,1,3,5,2,4]=>[1,6,4,5,2,3]=>[1,5,2,6,4,3]
[{4},{1},{5,6},{2},{3}]=>[4,1,5,6,2,3]=>[1,4,6,3,5,2]=>[1,5,6,4,3,2]
[{5},{1},{4,6},{2},{3}]=>[5,1,4,6,2,3]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{1},{4,5},{2},{3}]=>[6,1,4,5,2,3]=>[1,6,3,4,5,2]=>[1,5,6,3,4,2]
[{3},{1},{4,5},{6},{2}]=>[3,1,4,5,6,2]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2]
[{3},{1},{4,6},{5},{2}]=>[3,1,4,6,5,2]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]
[{3},{1},{5,6},{4},{2}]=>[3,1,5,6,4,2]=>[1,3,5,4,6,2]=>[1,6,3,5,4,2]
[{4},{1},{3,5},{6},{2}]=>[4,1,3,5,6,2]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]
[{4},{1},{3,6},{5},{2}]=>[4,1,3,6,5,2]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]
[{5},{1},{3,4},{6},{2}]=>[5,1,3,4,6,2]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]
[{6},{1},{3,4},{5},{2}]=>[6,1,3,4,5,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[{5},{1},{3,6},{4},{2}]=>[5,1,3,6,4,2]=>[1,5,4,6,2,3]=>[1,6,2,5,4,3]
[{6},{1},{3,5},{4},{2}]=>[6,1,3,5,4,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[{4},{1},{5,6},{3},{2}]=>[4,1,5,6,3,2]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]
[{5},{1},{4,6},{3},{2}]=>[5,1,4,6,3,2]=>[1,5,3,4,6,2]=>[1,6,5,3,4,2]
[{6},{1},{4,5},{3},{2}]=>[6,1,4,5,3,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[{2},{3},{1,4},{5},{6}]=>[2,3,1,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{3},{1,4},{6},{5}]=>[2,3,1,4,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{3},{1,5},{4},{6}]=>[2,3,1,5,4,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{3},{1,6},{4},{5}]=>[2,3,1,6,4,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{2},{3},{1,5},{6},{4}]=>[2,3,1,5,6,4]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{3},{1,6},{5},{4}]=>[2,3,1,6,5,4]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{2},{4},{1,3},{5},{6}]=>[2,4,1,3,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2},{4},{1,3},{6},{5}]=>[2,4,1,3,6,5]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2},{5},{1,3},{4},{6}]=>[2,5,1,3,4,6]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{2},{6},{1,3},{4},{5}]=>[2,6,1,3,4,5]=>[1,2,6,5,4,3]=>[1,2,4,5,6,3]
[{2},{5},{1,3},{6},{4}]=>[2,5,1,3,6,4]=>[1,2,5,6,4,3]=>[1,2,4,6,5,3]
[{2},{6},{1,3},{5},{4}]=>[2,6,1,3,5,4]=>[1,2,6,4,3,5]=>[1,2,4,6,3,5]
[{2},{4},{1,5},{3},{6}]=>[2,4,1,5,3,6]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]
[{2},{4},{1,6},{3},{5}]=>[2,4,1,6,3,5]=>[1,2,4,6,5,3]=>[1,2,5,4,6,3]
[{2},{5},{1,4},{3},{6}]=>[2,5,1,4,3,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{2},{6},{1,4},{3},{5}]=>[2,6,1,4,3,5]=>[1,2,6,5,3,4]=>[1,2,5,3,6,4]
[{2},{5},{1,6},{3},{4}]=>[2,5,1,6,3,4]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{2},{6},{1,5},{3},{4}]=>[2,6,1,5,3,4]=>[1,2,6,4,5,3]=>[1,2,5,6,4,3]
[{2},{4},{1,5},{6},{3}]=>[2,4,1,5,6,3]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]
[{2},{4},{1,6},{5},{3}]=>[2,4,1,6,5,3]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]
[{2},{5},{1,4},{6},{3}]=>[2,5,1,4,6,3]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]
[{2},{6},{1,4},{5},{3}]=>[2,6,1,4,5,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{2},{5},{1,6},{4},{3}]=>[2,5,1,6,4,3]=>[1,2,5,4,6,3]=>[1,2,6,5,4,3]
[{2},{6},{1,5},{4},{3}]=>[2,6,1,5,4,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{3},{2},{1,4},{5},{6}]=>[3,2,1,4,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{2},{1,4},{6},{5}]=>[3,2,1,4,6,5]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{2},{1,5},{4},{6}]=>[3,2,1,5,4,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{2},{1,6},{4},{5}]=>[3,2,1,6,4,5]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]
[{3},{2},{1,5},{6},{4}]=>[3,2,1,5,6,4]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{2},{1,6},{5},{4}]=>[3,2,1,6,5,4]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]
[{4},{2},{1,3},{5},{6}]=>[4,2,1,3,5,6]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]
[{4},{2},{1,3},{6},{5}]=>[4,2,1,3,6,5]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]
[{5},{2},{1,3},{4},{6}]=>[5,2,1,3,4,6]=>[1,5,4,3,2,6]=>[1,3,4,5,2,6]
[{6},{2},{1,3},{4},{5}]=>[6,2,1,3,4,5]=>[1,6,5,4,3,2]=>[1,3,4,5,6,2]
[{5},{2},{1,3},{6},{4}]=>[5,2,1,3,6,4]=>[1,5,6,4,3,2]=>[1,3,4,6,5,2]
[{6},{2},{1,3},{5},{4}]=>[6,2,1,3,5,4]=>[1,6,4,3,2,5]=>[1,3,4,6,2,5]
[{4},{2},{1,5},{3},{6}]=>[4,2,1,5,3,6]=>[1,4,5,3,2,6]=>[1,3,5,4,2,6]
[{4},{2},{1,6},{3},{5}]=>[4,2,1,6,3,5]=>[1,4,6,5,3,2]=>[1,3,5,4,6,2]
[{5},{2},{1,4},{3},{6}]=>[5,2,1,4,3,6]=>[1,5,3,2,4,6]=>[1,3,5,2,4,6]
[{6},{2},{1,4},{3},{5}]=>[6,2,1,4,3,5]=>[1,6,5,3,2,4]=>[1,3,5,2,6,4]
[{5},{2},{1,6},{3},{4}]=>[5,2,1,6,3,4]=>[1,5,3,2,4,6]=>[1,3,5,2,4,6]
[{6},{2},{1,5},{3},{4}]=>[6,2,1,5,3,4]=>[1,6,4,5,3,2]=>[1,3,5,6,4,2]
[{4},{2},{1,5},{6},{3}]=>[4,2,1,5,6,3]=>[1,4,5,6,3,2]=>[1,3,6,4,5,2]
[{4},{2},{1,6},{5},{3}]=>[4,2,1,6,5,3]=>[1,4,6,3,2,5]=>[1,3,6,4,2,5]
[{5},{2},{1,4},{6},{3}]=>[5,2,1,4,6,3]=>[1,5,6,3,2,4]=>[1,3,6,2,5,4]
[{6},{2},{1,4},{5},{3}]=>[6,2,1,4,5,3]=>[1,6,3,2,4,5]=>[1,3,6,2,4,5]
[{5},{2},{1,6},{4},{3}]=>[5,2,1,6,4,3]=>[1,5,4,6,3,2]=>[1,3,6,5,4,2]
[{6},{2},{1,5},{4},{3}]=>[6,2,1,5,4,3]=>[1,6,3,2,4,5]=>[1,3,6,2,4,5]
[{3},{4},{1,2},{5},{6}]=>[3,4,1,2,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{4},{1,2},{6},{5}]=>[3,4,1,2,6,5]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{5},{1,2},{4},{6}]=>[3,5,1,2,4,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]
[{3},{6},{1,2},{4},{5}]=>[3,6,1,2,4,5]=>[1,3,2,6,5,4]=>[1,3,2,5,6,4]
[{3},{5},{1,2},{6},{4}]=>[3,5,1,2,6,4]=>[1,3,2,5,6,4]=>[1,3,2,6,5,4]
[{3},{6},{1,2},{5},{4}]=>[3,6,1,2,5,4]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]
[{4},{3},{1,2},{5},{6}]=>[4,3,1,2,5,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{4},{3},{1,2},{6},{5}]=>[4,3,1,2,6,5]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{5},{3},{1,2},{4},{6}]=>[5,3,1,2,4,6]=>[1,5,4,2,3,6]=>[1,4,2,5,3,6]
[{6},{3},{1,2},{4},{5}]=>[6,3,1,2,4,5]=>[1,6,5,4,2,3]=>[1,4,2,5,6,3]
[{5},{3},{1,2},{6},{4}]=>[5,3,1,2,6,4]=>[1,5,6,4,2,3]=>[1,4,2,6,5,3]
[{6},{3},{1,2},{5},{4}]=>[6,3,1,2,5,4]=>[1,6,4,2,3,5]=>[1,4,2,6,3,5]
[{4},{5},{1,2},{3},{6}]=>[4,5,1,2,3,6]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{4},{6},{1,2},{3},{5}]=>[4,6,1,2,3,5]=>[1,4,2,6,5,3]=>[1,4,5,2,6,3]
[{5},{4},{1,2},{3},{6}]=>[5,4,1,2,3,6]=>[1,5,3,2,4,6]=>[1,3,5,2,4,6]
[{6},{4},{1,2},{3},{5}]=>[6,4,1,2,3,5]=>[1,6,5,3,2,4]=>[1,3,5,2,6,4]
[{5},{6},{1,2},{3},{4}]=>[5,6,1,2,3,4]=>[1,5,3,2,6,4]=>[1,3,5,6,2,4]
[{6},{5},{1,2},{3},{4}]=>[6,5,1,2,3,4]=>[1,6,4,2,5,3]=>[1,4,6,5,3,2]
[{4},{5},{1,2},{6},{3}]=>[4,5,1,2,6,3]=>[1,4,2,5,6,3]=>[1,4,6,2,5,3]
[{4},{6},{1,2},{5},{3}]=>[4,6,1,2,5,3]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]
[{5},{4},{1,2},{6},{3}]=>[5,4,1,2,6,3]=>[1,5,6,3,2,4]=>[1,3,6,2,5,4]
[{6},{4},{1,2},{5},{3}]=>[6,4,1,2,5,3]=>[1,6,3,2,4,5]=>[1,3,6,2,4,5]
[{5},{6},{1,2},{4},{3}]=>[5,6,1,2,4,3]=>[1,5,4,2,6,3]=>[1,4,5,6,3,2]
[{6},{5},{1,2},{4},{3}]=>[6,5,1,2,4,3]=>[1,6,3,2,5,4]=>[1,3,6,5,2,4]
[{3},{4},{1,5},{2},{6}]=>[3,4,1,5,2,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{4},{1,6},{2},{5}]=>[3,4,1,6,2,5]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]
[{3},{5},{1,4},{2},{6}]=>[3,5,1,4,2,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]
[{3},{6},{1,4},{2},{5}]=>[3,6,1,4,2,5]=>[1,3,2,6,5,4]=>[1,3,2,5,6,4]
[{3},{5},{1,6},{2},{4}]=>[3,5,1,6,2,4]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]
[{3},{6},{1,5},{2},{4}]=>[3,6,1,5,2,4]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]
[{4},{3},{1,5},{2},{6}]=>[4,3,1,5,2,6]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]
[{4},{3},{1,6},{2},{5}]=>[4,3,1,6,2,5]=>[1,4,6,5,2,3]=>[1,5,2,4,6,3]
[{5},{3},{1,4},{2},{6}]=>[5,3,1,4,2,6]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{3},{1,4},{2},{5}]=>[6,3,1,4,2,5]=>[1,6,5,2,3,4]=>[1,5,2,3,6,4]
[{5},{3},{1,6},{2},{4}]=>[5,3,1,6,2,4]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{3},{1,5},{2},{4}]=>[6,3,1,5,2,4]=>[1,6,4,5,2,3]=>[1,5,2,6,4,3]
[{4},{5},{1,3},{2},{6}]=>[4,5,1,3,2,6]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]
[{4},{6},{1,3},{2},{5}]=>[4,6,1,3,2,5]=>[1,4,3,2,6,5]=>[1,3,4,2,6,5]
[{5},{4},{1,3},{2},{6}]=>[5,4,1,3,2,6]=>[1,5,2,4,3,6]=>[1,5,4,2,3,6]
[{6},{4},{1,3},{2},{5}]=>[6,4,1,3,2,5]=>[1,6,5,2,4,3]=>[1,5,4,2,6,3]
[{5},{6},{1,3},{2},{4}]=>[5,6,1,3,2,4]=>[1,5,2,6,4,3]=>[1,5,4,6,2,3]
[{6},{5},{1,3},{2},{4}]=>[6,5,1,3,2,4]=>[1,6,4,3,2,5]=>[1,3,4,6,2,5]
[{4},{5},{1,6},{2},{3}]=>[4,5,1,6,2,3]=>[1,4,6,3,2,5]=>[1,3,6,4,2,5]
[{4},{6},{1,5},{2},{3}]=>[4,6,1,5,2,3]=>[1,4,5,2,6,3]=>[1,5,6,4,2,3]
[{5},{4},{1,6},{2},{3}]=>[5,4,1,6,2,3]=>[1,5,2,4,6,3]=>[1,5,6,2,4,3]
[{6},{4},{1,5},{2},{3}]=>[6,4,1,5,2,3]=>[1,6,3,2,4,5]=>[1,3,6,2,4,5]
[{5},{6},{1,4},{2},{3}]=>[5,6,1,4,2,3]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]
[{6},{5},{1,4},{2},{3}]=>[6,5,1,4,2,3]=>[1,6,3,2,5,4]=>[1,3,6,5,2,4]
[{3},{4},{1,5},{6},{2}]=>[3,4,1,5,6,2]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{4},{1,6},{5},{2}]=>[3,4,1,6,5,2]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]
[{3},{5},{1,4},{6},{2}]=>[3,5,1,4,6,2]=>[1,3,2,5,6,4]=>[1,3,2,6,5,4]
[{3},{6},{1,4},{5},{2}]=>[3,6,1,4,5,2]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]
[{3},{5},{1,6},{4},{2}]=>[3,5,1,6,4,2]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]
[{3},{6},{1,5},{4},{2}]=>[3,6,1,5,4,2]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]
[{4},{3},{1,5},{6},{2}]=>[4,3,1,5,6,2]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]
[{4},{3},{1,6},{5},{2}]=>[4,3,1,6,5,2]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]
[{5},{3},{1,4},{6},{2}]=>[5,3,1,4,6,2]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]
[{6},{3},{1,4},{5},{2}]=>[6,3,1,4,5,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[{5},{3},{1,6},{4},{2}]=>[5,3,1,6,4,2]=>[1,5,4,6,2,3]=>[1,6,2,5,4,3]
[{6},{3},{1,5},{4},{2}]=>[6,3,1,5,4,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[{4},{5},{1,3},{6},{2}]=>[4,5,1,3,6,2]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]
[{4},{6},{1,3},{5},{2}]=>[4,6,1,3,5,2]=>[1,4,3,2,6,5]=>[1,3,4,2,6,5]
[{5},{4},{1,3},{6},{2}]=>[5,4,1,3,6,2]=>[1,5,6,2,4,3]=>[1,6,4,2,5,3]
[{6},{4},{1,3},{5},{2}]=>[6,4,1,3,5,2]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]
[{5},{6},{1,3},{4},{2}]=>[5,6,1,3,4,2]=>[1,5,4,3,2,6]=>[1,3,4,5,2,6]
[{6},{5},{1,3},{4},{2}]=>[6,5,1,3,4,2]=>[1,6,2,5,4,3]=>[1,6,4,5,2,3]
[{4},{5},{1,6},{3},{2}]=>[4,5,1,6,3,2]=>[1,4,6,2,5,3]=>[1,6,5,4,2,3]
[{4},{6},{1,5},{3},{2}]=>[4,6,1,5,3,2]=>[1,4,5,3,2,6]=>[1,3,5,4,2,6]
[{5},{4},{1,6},{3},{2}]=>[5,4,1,6,3,2]=>[1,5,3,2,4,6]=>[1,3,5,2,4,6]
[{6},{4},{1,5},{3},{2}]=>[6,4,1,5,3,2]=>[1,6,2,4,5,3]=>[1,6,5,2,4,3]
[{5},{6},{1,4},{3},{2}]=>[5,6,1,4,3,2]=>[1,5,3,2,6,4]=>[1,3,5,6,2,4]
[{6},{5},{1,4},{3},{2}]=>[6,5,1,4,3,2]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]
[{2},{3},{4,5},{1},{6}]=>[2,3,4,5,1,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{3},{4,6},{1},{5}]=>[2,3,4,6,1,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{2},{3},{5,6},{1},{4}]=>[2,3,5,6,1,4]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{2},{4},{3,5},{1},{6}]=>[2,4,3,5,1,6]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]
[{2},{4},{3,6},{1},{5}]=>[2,4,3,6,1,5]=>[1,2,4,6,5,3]=>[1,2,5,4,6,3]
[{2},{5},{3,4},{1},{6}]=>[2,5,3,4,1,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{2},{6},{3,4},{1},{5}]=>[2,6,3,4,1,5]=>[1,2,6,5,3,4]=>[1,2,5,3,6,4]
[{2},{5},{3,6},{1},{4}]=>[2,5,3,6,1,4]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{2},{6},{3,5},{1},{4}]=>[2,6,3,5,1,4]=>[1,2,6,4,5,3]=>[1,2,5,6,4,3]
[{2},{4},{5,6},{1},{3}]=>[2,4,5,6,1,3]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]
[{2},{5},{4,6},{1},{3}]=>[2,5,4,6,1,3]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{2},{6},{4,5},{1},{3}]=>[2,6,4,5,1,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{3},{2},{4,5},{1},{6}]=>[3,2,4,5,1,6]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]
[{3},{2},{4,6},{1},{5}]=>[3,2,4,6,1,5]=>[1,3,4,6,5,2]=>[1,5,3,4,6,2]
[{3},{2},{5,6},{1},{4}]=>[3,2,5,6,1,4]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[{4},{2},{3,5},{1},{6}]=>[4,2,3,5,1,6]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]
[{4},{2},{3,6},{1},{5}]=>[4,2,3,6,1,5]=>[1,4,6,5,2,3]=>[1,5,2,4,6,3]
[{5},{2},{3,4},{1},{6}]=>[5,2,3,4,1,6]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{2},{3,4},{1},{5}]=>[6,2,3,4,1,5]=>[1,6,5,2,3,4]=>[1,5,2,3,6,4]
[{5},{2},{3,6},{1},{4}]=>[5,2,3,6,1,4]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{2},{3,5},{1},{4}]=>[6,2,3,5,1,4]=>[1,6,4,5,2,3]=>[1,5,2,6,4,3]
[{4},{2},{5,6},{1},{3}]=>[4,2,5,6,1,3]=>[1,4,6,3,5,2]=>[1,5,6,4,3,2]
[{5},{2},{4,6},{1},{3}]=>[5,2,4,6,1,3]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{2},{4,5},{1},{3}]=>[6,2,4,5,1,3]=>[1,6,3,4,5,2]=>[1,5,6,3,4,2]
[{3},{4},{2,5},{1},{6}]=>[3,4,2,5,1,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{4},{2,6},{1},{5}]=>[3,4,2,6,1,5]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]
[{3},{5},{2,4},{1},{6}]=>[3,5,2,4,1,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]
[{3},{6},{2,4},{1},{5}]=>[3,6,2,4,1,5]=>[1,3,2,6,5,4]=>[1,3,2,5,6,4]
[{3},{5},{2,6},{1},{4}]=>[3,5,2,6,1,4]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]
[{3},{6},{2,5},{1},{4}]=>[3,6,2,5,1,4]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]
[{4},{3},{2,5},{1},{6}]=>[4,3,2,5,1,6]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]
[{4},{3},{2,6},{1},{5}]=>[4,3,2,6,1,5]=>[1,4,6,5,2,3]=>[1,5,2,4,6,3]
[{5},{3},{2,4},{1},{6}]=>[5,3,2,4,1,6]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{3},{2,4},{1},{5}]=>[6,3,2,4,1,5]=>[1,6,5,2,3,4]=>[1,5,2,3,6,4]
[{5},{3},{2,6},{1},{4}]=>[5,3,2,6,1,4]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{3},{2,5},{1},{4}]=>[6,3,2,5,1,4]=>[1,6,4,5,2,3]=>[1,5,2,6,4,3]
[{4},{5},{2,3},{1},{6}]=>[4,5,2,3,1,6]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]
[{4},{6},{2,3},{1},{5}]=>[4,6,2,3,1,5]=>[1,4,3,2,6,5]=>[1,3,4,2,6,5]
[{5},{4},{2,3},{1},{6}]=>[5,4,2,3,1,6]=>[1,5,2,4,3,6]=>[1,5,4,2,3,6]
[{6},{4},{2,3},{1},{5}]=>[6,4,2,3,1,5]=>[1,6,5,2,4,3]=>[1,5,4,2,6,3]
[{5},{6},{2,3},{1},{4}]=>[5,6,2,3,1,4]=>[1,5,2,6,4,3]=>[1,5,4,6,2,3]
[{6},{5},{2,3},{1},{4}]=>[6,5,2,3,1,4]=>[1,6,4,3,2,5]=>[1,3,4,6,2,5]
[{4},{5},{2,6},{1},{3}]=>[4,5,2,6,1,3]=>[1,4,6,3,2,5]=>[1,3,6,4,2,5]
[{4},{6},{2,5},{1},{3}]=>[4,6,2,5,1,3]=>[1,4,5,2,6,3]=>[1,5,6,4,2,3]
[{5},{4},{2,6},{1},{3}]=>[5,4,2,6,1,3]=>[1,5,2,4,6,3]=>[1,5,6,2,4,3]
[{6},{4},{2,5},{1},{3}]=>[6,4,2,5,1,3]=>[1,6,3,2,4,5]=>[1,3,6,2,4,5]
[{5},{6},{2,4},{1},{3}]=>[5,6,2,4,1,3]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]
[{6},{5},{2,4},{1},{3}]=>[6,5,2,4,1,3]=>[1,6,3,2,5,4]=>[1,3,6,5,2,4]
[{3},{4},{5,6},{1},{2}]=>[3,4,5,6,1,2]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[{3},{5},{4,6},{1},{2}]=>[3,5,4,6,1,2]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]
[{3},{6},{4,5},{1},{2}]=>[3,6,4,5,1,2]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]
[{4},{3},{5,6},{1},{2}]=>[4,3,5,6,1,2]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]
[{5},{3},{4,6},{1},{2}]=>[5,3,4,6,1,2]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{3},{4,5},{1},{2}]=>[6,3,4,5,1,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[{4},{5},{3,6},{1},{2}]=>[4,5,3,6,1,2]=>[1,4,6,2,5,3]=>[1,6,5,4,2,3]
[{4},{6},{3,5},{1},{2}]=>[4,6,3,5,1,2]=>[1,4,5,2,6,3]=>[1,5,6,4,2,3]
[{5},{4},{3,6},{1},{2}]=>[5,4,3,6,1,2]=>[1,5,2,4,6,3]=>[1,5,6,2,4,3]
[{6},{4},{3,5},{1},{2}]=>[6,4,3,5,1,2]=>[1,6,2,4,5,3]=>[1,6,5,2,4,3]
[{5},{6},{3,4},{1},{2}]=>[5,6,3,4,1,2]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]
[{6},{5},{3,4},{1},{2}]=>[6,5,3,4,1,2]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]
[{2},{3},{4,5},{6},{1}]=>[2,3,4,5,6,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{3},{4,6},{5},{1}]=>[2,3,4,6,5,1]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{2},{3},{5,6},{4},{1}]=>[2,3,5,6,4,1]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{2},{4},{3,5},{6},{1}]=>[2,4,3,5,6,1]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]
[{2},{4},{3,6},{5},{1}]=>[2,4,3,6,5,1]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]
[{2},{5},{3,4},{6},{1}]=>[2,5,3,4,6,1]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]
[{2},{6},{3,4},{5},{1}]=>[2,6,3,4,5,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{2},{5},{3,6},{4},{1}]=>[2,5,3,6,4,1]=>[1,2,5,4,6,3]=>[1,2,6,5,4,3]
[{2},{6},{3,5},{4},{1}]=>[2,6,3,5,4,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{2},{4},{5,6},{3},{1}]=>[2,4,5,6,3,1]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]
[{2},{5},{4,6},{3},{1}]=>[2,5,4,6,3,1]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{2},{6},{4,5},{3},{1}]=>[2,6,4,5,3,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{3},{2},{4,5},{6},{1}]=>[3,2,4,5,6,1]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2]
[{3},{2},{4,6},{5},{1}]=>[3,2,4,6,5,1]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]
[{3},{2},{5,6},{4},{1}]=>[3,2,5,6,4,1]=>[1,3,5,4,6,2]=>[1,6,3,5,4,2]
[{4},{2},{3,5},{6},{1}]=>[4,2,3,5,6,1]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]
[{4},{2},{3,6},{5},{1}]=>[4,2,3,6,5,1]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]
[{5},{2},{3,4},{6},{1}]=>[5,2,3,4,6,1]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]
[{6},{2},{3,4},{5},{1}]=>[6,2,3,4,5,1]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[{5},{2},{3,6},{4},{1}]=>[5,2,3,6,4,1]=>[1,5,4,6,2,3]=>[1,6,2,5,4,3]
[{6},{2},{3,5},{4},{1}]=>[6,2,3,5,4,1]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[{4},{2},{5,6},{3},{1}]=>[4,2,5,6,3,1]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]
[{5},{2},{4,6},{3},{1}]=>[5,2,4,6,3,1]=>[1,5,3,4,6,2]=>[1,6,5,3,4,2]
[{6},{2},{4,5},{3},{1}]=>[6,2,4,5,3,1]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[{3},{4},{2,5},{6},{1}]=>[3,4,2,5,6,1]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{4},{2,6},{5},{1}]=>[3,4,2,6,5,1]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]
[{3},{5},{2,4},{6},{1}]=>[3,5,2,4,6,1]=>[1,3,2,5,6,4]=>[1,3,2,6,5,4]
[{3},{6},{2,4},{5},{1}]=>[3,6,2,4,5,1]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]
[{3},{5},{2,6},{4},{1}]=>[3,5,2,6,4,1]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]
[{3},{6},{2,5},{4},{1}]=>[3,6,2,5,4,1]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]
[{4},{3},{2,5},{6},{1}]=>[4,3,2,5,6,1]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]
[{4},{3},{2,6},{5},{1}]=>[4,3,2,6,5,1]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]
[{5},{3},{2,4},{6},{1}]=>[5,3,2,4,6,1]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]
[{6},{3},{2,4},{5},{1}]=>[6,3,2,4,5,1]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[{5},{3},{2,6},{4},{1}]=>[5,3,2,6,4,1]=>[1,5,4,6,2,3]=>[1,6,2,5,4,3]
[{6},{3},{2,5},{4},{1}]=>[6,3,2,5,4,1]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[{4},{5},{2,3},{6},{1}]=>[4,5,2,3,6,1]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]
[{4},{6},{2,3},{5},{1}]=>[4,6,2,3,5,1]=>[1,4,3,2,6,5]=>[1,3,4,2,6,5]
[{5},{4},{2,3},{6},{1}]=>[5,4,2,3,6,1]=>[1,5,6,2,4,3]=>[1,6,4,2,5,3]
[{6},{4},{2,3},{5},{1}]=>[6,4,2,3,5,1]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]
[{5},{6},{2,3},{4},{1}]=>[5,6,2,3,4,1]=>[1,5,4,3,2,6]=>[1,3,4,5,2,6]
[{6},{5},{2,3},{4},{1}]=>[6,5,2,3,4,1]=>[1,6,2,5,4,3]=>[1,6,4,5,2,3]
[{4},{5},{2,6},{3},{1}]=>[4,5,2,6,3,1]=>[1,4,6,2,5,3]=>[1,6,5,4,2,3]
[{4},{6},{2,5},{3},{1}]=>[4,6,2,5,3,1]=>[1,4,5,3,2,6]=>[1,3,5,4,2,6]
[{5},{4},{2,6},{3},{1}]=>[5,4,2,6,3,1]=>[1,5,3,2,4,6]=>[1,3,5,2,4,6]
[{6},{4},{2,5},{3},{1}]=>[6,4,2,5,3,1]=>[1,6,2,4,5,3]=>[1,6,5,2,4,3]
[{5},{6},{2,4},{3},{1}]=>[5,6,2,4,3,1]=>[1,5,3,2,6,4]=>[1,3,5,6,2,4]
[{6},{5},{2,4},{3},{1}]=>[6,5,2,4,3,1]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]
[{3},{4},{5,6},{2},{1}]=>[3,4,5,6,2,1]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[{3},{5},{4,6},{2},{1}]=>[3,5,4,6,2,1]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]
[{3},{6},{4,5},{2},{1}]=>[3,6,4,5,2,1]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]
[{4},{3},{5,6},{2},{1}]=>[4,3,5,6,2,1]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]
[{5},{3},{4,6},{2},{1}]=>[5,3,4,6,2,1]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{3},{4,5},{2},{1}]=>[6,3,4,5,2,1]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[{4},{5},{3,6},{2},{1}]=>[4,5,3,6,2,1]=>[1,4,6,2,5,3]=>[1,6,5,4,2,3]
[{4},{6},{3,5},{2},{1}]=>[4,6,3,5,2,1]=>[1,4,5,2,6,3]=>[1,5,6,4,2,3]
[{5},{4},{3,6},{2},{1}]=>[5,4,3,6,2,1]=>[1,5,2,4,6,3]=>[1,5,6,2,4,3]
[{6},{4},{3,5},{2},{1}]=>[6,4,3,5,2,1]=>[1,6,2,4,5,3]=>[1,6,5,2,4,3]
[{5},{6},{3,4},{2},{1}]=>[5,6,3,4,2,1]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]
[{6},{5},{3,4},{2},{1}]=>[6,5,3,4,2,1]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]
[{1},{2},{3,4},{5,6}]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{2},{3,5},{4,6}]=>[1,2,3,5,4,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{2},{3,6},{4,5}]=>[1,2,3,6,4,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1},{2},{4,5},{3,6}]=>[1,2,4,5,3,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{2},{4,6},{3,5}]=>[1,2,4,6,3,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1},{2},{5,6},{3,4}]=>[1,2,5,6,3,4]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1},{3},{2,4},{5,6}]=>[1,3,2,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{3},{2,5},{4,6}]=>[1,3,2,5,4,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{3},{2,6},{4,5}]=>[1,3,2,6,4,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1},{4},{2,3},{5,6}]=>[1,4,2,3,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1},{5},{2,3},{4,6}]=>[1,5,2,3,4,6]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{1},{6},{2,3},{4,5}]=>[1,6,2,3,4,5]=>[1,2,6,5,4,3]=>[1,2,4,5,6,3]
[{1},{4},{2,5},{3,6}]=>[1,4,2,5,3,6]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]
[{1},{4},{2,6},{3,5}]=>[1,4,2,6,3,5]=>[1,2,4,6,5,3]=>[1,2,5,4,6,3]
[{1},{5},{2,4},{3,6}]=>[1,5,2,4,3,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{1},{6},{2,4},{3,5}]=>[1,6,2,4,3,5]=>[1,2,6,5,3,4]=>[1,2,5,3,6,4]
[{1},{5},{2,6},{3,4}]=>[1,5,2,6,3,4]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{1},{6},{2,5},{3,4}]=>[1,6,2,5,3,4]=>[1,2,6,4,5,3]=>[1,2,5,6,4,3]
[{1},{3},{4,5},{2,6}]=>[1,3,4,5,2,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{3},{4,6},{2,5}]=>[1,3,4,6,2,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1},{3},{5,6},{2,4}]=>[1,3,5,6,2,4]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1},{4},{3,5},{2,6}]=>[1,4,3,5,2,6]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]
[{1},{4},{3,6},{2,5}]=>[1,4,3,6,2,5]=>[1,2,4,6,5,3]=>[1,2,5,4,6,3]
[{1},{5},{3,4},{2,6}]=>[1,5,3,4,2,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{1},{6},{3,4},{2,5}]=>[1,6,3,4,2,5]=>[1,2,6,5,3,4]=>[1,2,5,3,6,4]
[{1},{5},{3,6},{2,4}]=>[1,5,3,6,2,4]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{1},{6},{3,5},{2,4}]=>[1,6,3,5,2,4]=>[1,2,6,4,5,3]=>[1,2,5,6,4,3]
[{1},{4},{5,6},{2,3}]=>[1,4,5,6,2,3]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]
[{1},{5},{4,6},{2,3}]=>[1,5,4,6,2,3]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{1},{6},{4,5},{2,3}]=>[1,6,4,5,2,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{2},{1},{3,4},{5,6}]=>[2,1,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{1},{3,5},{4,6}]=>[2,1,3,5,4,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{1},{3,6},{4,5}]=>[2,1,3,6,4,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{2},{1},{4,5},{3,6}]=>[2,1,4,5,3,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{1},{4,6},{3,5}]=>[2,1,4,6,3,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{2},{1},{5,6},{3,4}]=>[2,1,5,6,3,4]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{3},{1},{2,4},{5,6}]=>[3,1,2,4,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{1},{2,5},{4,6}]=>[3,1,2,5,4,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{1},{2,6},{4,5}]=>[3,1,2,6,4,5]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]
[{4},{1},{2,3},{5,6}]=>[4,1,2,3,5,6]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]
[{5},{1},{2,3},{4,6}]=>[5,1,2,3,4,6]=>[1,5,4,3,2,6]=>[1,3,4,5,2,6]
[{6},{1},{2,3},{4,5}]=>[6,1,2,3,4,5]=>[1,6,5,4,3,2]=>[1,3,4,5,6,2]
[{4},{1},{2,5},{3,6}]=>[4,1,2,5,3,6]=>[1,4,5,3,2,6]=>[1,3,5,4,2,6]
[{4},{1},{2,6},{3,5}]=>[4,1,2,6,3,5]=>[1,4,6,5,3,2]=>[1,3,5,4,6,2]
[{5},{1},{2,4},{3,6}]=>[5,1,2,4,3,6]=>[1,5,3,2,4,6]=>[1,3,5,2,4,6]
[{6},{1},{2,4},{3,5}]=>[6,1,2,4,3,5]=>[1,6,5,3,2,4]=>[1,3,5,2,6,4]
[{5},{1},{2,6},{3,4}]=>[5,1,2,6,3,4]=>[1,5,3,2,4,6]=>[1,3,5,2,4,6]
[{6},{1},{2,5},{3,4}]=>[6,1,2,5,3,4]=>[1,6,4,5,3,2]=>[1,3,5,6,4,2]
[{3},{1},{4,5},{2,6}]=>[3,1,4,5,2,6]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]
[{3},{1},{4,6},{2,5}]=>[3,1,4,6,2,5]=>[1,3,4,6,5,2]=>[1,5,3,4,6,2]
[{3},{1},{5,6},{2,4}]=>[3,1,5,6,2,4]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[{4},{1},{3,5},{2,6}]=>[4,1,3,5,2,6]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]
[{4},{1},{3,6},{2,5}]=>[4,1,3,6,2,5]=>[1,4,6,5,2,3]=>[1,5,2,4,6,3]
[{5},{1},{3,4},{2,6}]=>[5,1,3,4,2,6]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{1},{3,4},{2,5}]=>[6,1,3,4,2,5]=>[1,6,5,2,3,4]=>[1,5,2,3,6,4]
[{5},{1},{3,6},{2,4}]=>[5,1,3,6,2,4]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{1},{3,5},{2,4}]=>[6,1,3,5,2,4]=>[1,6,4,5,2,3]=>[1,5,2,6,4,3]
[{4},{1},{5,6},{2,3}]=>[4,1,5,6,2,3]=>[1,4,6,3,5,2]=>[1,5,6,4,3,2]
[{5},{1},{4,6},{2,3}]=>[5,1,4,6,2,3]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{1},{4,5},{2,3}]=>[6,1,4,5,2,3]=>[1,6,3,4,5,2]=>[1,5,6,3,4,2]
[{2},{3},{1,4},{5,6}]=>[2,3,1,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{3},{1,5},{4,6}]=>[2,3,1,5,4,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{3},{1,6},{4,5}]=>[2,3,1,6,4,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{2},{4},{1,3},{5,6}]=>[2,4,1,3,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2},{5},{1,3},{4,6}]=>[2,5,1,3,4,6]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{2},{6},{1,3},{4,5}]=>[2,6,1,3,4,5]=>[1,2,6,5,4,3]=>[1,2,4,5,6,3]
[{2},{4},{1,5},{3,6}]=>[2,4,1,5,3,6]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]
[{2},{4},{1,6},{3,5}]=>[2,4,1,6,3,5]=>[1,2,4,6,5,3]=>[1,2,5,4,6,3]
[{2},{5},{1,4},{3,6}]=>[2,5,1,4,3,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{2},{6},{1,4},{3,5}]=>[2,6,1,4,3,5]=>[1,2,6,5,3,4]=>[1,2,5,3,6,4]
[{2},{5},{1,6},{3,4}]=>[2,5,1,6,3,4]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{2},{6},{1,5},{3,4}]=>[2,6,1,5,3,4]=>[1,2,6,4,5,3]=>[1,2,5,6,4,3]
[{3},{2},{1,4},{5,6}]=>[3,2,1,4,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{2},{1,5},{4,6}]=>[3,2,1,5,4,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{2},{1,6},{4,5}]=>[3,2,1,6,4,5]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]
[{4},{2},{1,3},{5,6}]=>[4,2,1,3,5,6]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]
[{5},{2},{1,3},{4,6}]=>[5,2,1,3,4,6]=>[1,5,4,3,2,6]=>[1,3,4,5,2,6]
[{6},{2},{1,3},{4,5}]=>[6,2,1,3,4,5]=>[1,6,5,4,3,2]=>[1,3,4,5,6,2]
[{4},{2},{1,5},{3,6}]=>[4,2,1,5,3,6]=>[1,4,5,3,2,6]=>[1,3,5,4,2,6]
[{4},{2},{1,6},{3,5}]=>[4,2,1,6,3,5]=>[1,4,6,5,3,2]=>[1,3,5,4,6,2]
[{5},{2},{1,4},{3,6}]=>[5,2,1,4,3,6]=>[1,5,3,2,4,6]=>[1,3,5,2,4,6]
[{6},{2},{1,4},{3,5}]=>[6,2,1,4,3,5]=>[1,6,5,3,2,4]=>[1,3,5,2,6,4]
[{5},{2},{1,6},{3,4}]=>[5,2,1,6,3,4]=>[1,5,3,2,4,6]=>[1,3,5,2,4,6]
[{6},{2},{1,5},{3,4}]=>[6,2,1,5,3,4]=>[1,6,4,5,3,2]=>[1,3,5,6,4,2]
[{3},{4},{1,2},{5,6}]=>[3,4,1,2,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{5},{1,2},{4,6}]=>[3,5,1,2,4,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]
[{3},{6},{1,2},{4,5}]=>[3,6,1,2,4,5]=>[1,3,2,6,5,4]=>[1,3,2,5,6,4]
[{4},{3},{1,2},{5,6}]=>[4,3,1,2,5,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{5},{3},{1,2},{4,6}]=>[5,3,1,2,4,6]=>[1,5,4,2,3,6]=>[1,4,2,5,3,6]
[{6},{3},{1,2},{4,5}]=>[6,3,1,2,4,5]=>[1,6,5,4,2,3]=>[1,4,2,5,6,3]
[{4},{5},{1,2},{3,6}]=>[4,5,1,2,3,6]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{4},{6},{1,2},{3,5}]=>[4,6,1,2,3,5]=>[1,4,2,6,5,3]=>[1,4,5,2,6,3]
[{5},{4},{1,2},{3,6}]=>[5,4,1,2,3,6]=>[1,5,3,2,4,6]=>[1,3,5,2,4,6]
[{6},{4},{1,2},{3,5}]=>[6,4,1,2,3,5]=>[1,6,5,3,2,4]=>[1,3,5,2,6,4]
[{5},{6},{1,2},{3,4}]=>[5,6,1,2,3,4]=>[1,5,3,2,6,4]=>[1,3,5,6,2,4]
[{6},{5},{1,2},{3,4}]=>[6,5,1,2,3,4]=>[1,6,4,2,5,3]=>[1,4,6,5,3,2]
[{3},{4},{1,5},{2,6}]=>[3,4,1,5,2,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{4},{1,6},{2,5}]=>[3,4,1,6,2,5]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]
[{3},{5},{1,4},{2,6}]=>[3,5,1,4,2,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]
[{3},{6},{1,4},{2,5}]=>[3,6,1,4,2,5]=>[1,3,2,6,5,4]=>[1,3,2,5,6,4]
[{3},{5},{1,6},{2,4}]=>[3,5,1,6,2,4]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]
[{3},{6},{1,5},{2,4}]=>[3,6,1,5,2,4]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]
[{4},{3},{1,5},{2,6}]=>[4,3,1,5,2,6]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]
[{4},{3},{1,6},{2,5}]=>[4,3,1,6,2,5]=>[1,4,6,5,2,3]=>[1,5,2,4,6,3]
[{5},{3},{1,4},{2,6}]=>[5,3,1,4,2,6]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{3},{1,4},{2,5}]=>[6,3,1,4,2,5]=>[1,6,5,2,3,4]=>[1,5,2,3,6,4]
[{5},{3},{1,6},{2,4}]=>[5,3,1,6,2,4]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{3},{1,5},{2,4}]=>[6,3,1,5,2,4]=>[1,6,4,5,2,3]=>[1,5,2,6,4,3]
[{4},{5},{1,3},{2,6}]=>[4,5,1,3,2,6]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]
[{4},{6},{1,3},{2,5}]=>[4,6,1,3,2,5]=>[1,4,3,2,6,5]=>[1,3,4,2,6,5]
[{5},{4},{1,3},{2,6}]=>[5,4,1,3,2,6]=>[1,5,2,4,3,6]=>[1,5,4,2,3,6]
[{6},{4},{1,3},{2,5}]=>[6,4,1,3,2,5]=>[1,6,5,2,4,3]=>[1,5,4,2,6,3]
[{5},{6},{1,3},{2,4}]=>[5,6,1,3,2,4]=>[1,5,2,6,4,3]=>[1,5,4,6,2,3]
[{6},{5},{1,3},{2,4}]=>[6,5,1,3,2,4]=>[1,6,4,3,2,5]=>[1,3,4,6,2,5]
[{4},{5},{1,6},{2,3}]=>[4,5,1,6,2,3]=>[1,4,6,3,2,5]=>[1,3,6,4,2,5]
[{4},{6},{1,5},{2,3}]=>[4,6,1,5,2,3]=>[1,4,5,2,6,3]=>[1,5,6,4,2,3]
[{5},{4},{1,6},{2,3}]=>[5,4,1,6,2,3]=>[1,5,2,4,6,3]=>[1,5,6,2,4,3]
[{6},{4},{1,5},{2,3}]=>[6,4,1,5,2,3]=>[1,6,3,2,4,5]=>[1,3,6,2,4,5]
[{5},{6},{1,4},{2,3}]=>[5,6,1,4,2,3]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]
[{6},{5},{1,4},{2,3}]=>[6,5,1,4,2,3]=>[1,6,3,2,5,4]=>[1,3,6,5,2,4]
[{2},{3},{4,5},{1,6}]=>[2,3,4,5,1,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{3},{4,6},{1,5}]=>[2,3,4,6,1,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{2},{3},{5,6},{1,4}]=>[2,3,5,6,1,4]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{2},{4},{3,5},{1,6}]=>[2,4,3,5,1,6]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]
[{2},{4},{3,6},{1,5}]=>[2,4,3,6,1,5]=>[1,2,4,6,5,3]=>[1,2,5,4,6,3]
[{2},{5},{3,4},{1,6}]=>[2,5,3,4,1,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{2},{6},{3,4},{1,5}]=>[2,6,3,4,1,5]=>[1,2,6,5,3,4]=>[1,2,5,3,6,4]
[{2},{5},{3,6},{1,4}]=>[2,5,3,6,1,4]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{2},{6},{3,5},{1,4}]=>[2,6,3,5,1,4]=>[1,2,6,4,5,3]=>[1,2,5,6,4,3]
[{2},{4},{5,6},{1,3}]=>[2,4,5,6,1,3]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]
[{2},{5},{4,6},{1,3}]=>[2,5,4,6,1,3]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{2},{6},{4,5},{1,3}]=>[2,6,4,5,1,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{3},{2},{4,5},{1,6}]=>[3,2,4,5,1,6]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]
[{3},{2},{4,6},{1,5}]=>[3,2,4,6,1,5]=>[1,3,4,6,5,2]=>[1,5,3,4,6,2]
[{3},{2},{5,6},{1,4}]=>[3,2,5,6,1,4]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[{4},{2},{3,5},{1,6}]=>[4,2,3,5,1,6]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]
[{4},{2},{3,6},{1,5}]=>[4,2,3,6,1,5]=>[1,4,6,5,2,3]=>[1,5,2,4,6,3]
[{5},{2},{3,4},{1,6}]=>[5,2,3,4,1,6]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{2},{3,4},{1,5}]=>[6,2,3,4,1,5]=>[1,6,5,2,3,4]=>[1,5,2,3,6,4]
[{5},{2},{3,6},{1,4}]=>[5,2,3,6,1,4]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{2},{3,5},{1,4}]=>[6,2,3,5,1,4]=>[1,6,4,5,2,3]=>[1,5,2,6,4,3]
[{4},{2},{5,6},{1,3}]=>[4,2,5,6,1,3]=>[1,4,6,3,5,2]=>[1,5,6,4,3,2]
[{5},{2},{4,6},{1,3}]=>[5,2,4,6,1,3]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{2},{4,5},{1,3}]=>[6,2,4,5,1,3]=>[1,6,3,4,5,2]=>[1,5,6,3,4,2]
[{3},{4},{2,5},{1,6}]=>[3,4,2,5,1,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{4},{2,6},{1,5}]=>[3,4,2,6,1,5]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]
[{3},{5},{2,4},{1,6}]=>[3,5,2,4,1,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]
[{3},{6},{2,4},{1,5}]=>[3,6,2,4,1,5]=>[1,3,2,6,5,4]=>[1,3,2,5,6,4]
[{3},{5},{2,6},{1,4}]=>[3,5,2,6,1,4]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]
[{3},{6},{2,5},{1,4}]=>[3,6,2,5,1,4]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]
[{4},{3},{2,5},{1,6}]=>[4,3,2,5,1,6]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]
[{4},{3},{2,6},{1,5}]=>[4,3,2,6,1,5]=>[1,4,6,5,2,3]=>[1,5,2,4,6,3]
[{5},{3},{2,4},{1,6}]=>[5,3,2,4,1,6]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{3},{2,4},{1,5}]=>[6,3,2,4,1,5]=>[1,6,5,2,3,4]=>[1,5,2,3,6,4]
[{5},{3},{2,6},{1,4}]=>[5,3,2,6,1,4]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{3},{2,5},{1,4}]=>[6,3,2,5,1,4]=>[1,6,4,5,2,3]=>[1,5,2,6,4,3]
[{4},{5},{2,3},{1,6}]=>[4,5,2,3,1,6]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]
[{4},{6},{2,3},{1,5}]=>[4,6,2,3,1,5]=>[1,4,3,2,6,5]=>[1,3,4,2,6,5]
[{5},{4},{2,3},{1,6}]=>[5,4,2,3,1,6]=>[1,5,2,4,3,6]=>[1,5,4,2,3,6]
[{6},{4},{2,3},{1,5}]=>[6,4,2,3,1,5]=>[1,6,5,2,4,3]=>[1,5,4,2,6,3]
[{5},{6},{2,3},{1,4}]=>[5,6,2,3,1,4]=>[1,5,2,6,4,3]=>[1,5,4,6,2,3]
[{6},{5},{2,3},{1,4}]=>[6,5,2,3,1,4]=>[1,6,4,3,2,5]=>[1,3,4,6,2,5]
[{4},{5},{2,6},{1,3}]=>[4,5,2,6,1,3]=>[1,4,6,3,2,5]=>[1,3,6,4,2,5]
[{4},{6},{2,5},{1,3}]=>[4,6,2,5,1,3]=>[1,4,5,2,6,3]=>[1,5,6,4,2,3]
[{5},{4},{2,6},{1,3}]=>[5,4,2,6,1,3]=>[1,5,2,4,6,3]=>[1,5,6,2,4,3]
[{6},{4},{2,5},{1,3}]=>[6,4,2,5,1,3]=>[1,6,3,2,4,5]=>[1,3,6,2,4,5]
[{5},{6},{2,4},{1,3}]=>[5,6,2,4,1,3]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]
[{6},{5},{2,4},{1,3}]=>[6,5,2,4,1,3]=>[1,6,3,2,5,4]=>[1,3,6,5,2,4]
[{3},{4},{5,6},{1,2}]=>[3,4,5,6,1,2]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[{3},{5},{4,6},{1,2}]=>[3,5,4,6,1,2]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]
[{3},{6},{4,5},{1,2}]=>[3,6,4,5,1,2]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]
[{4},{3},{5,6},{1,2}]=>[4,3,5,6,1,2]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]
[{5},{3},{4,6},{1,2}]=>[5,3,4,6,1,2]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{3},{4,5},{1,2}]=>[6,3,4,5,1,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[{4},{5},{3,6},{1,2}]=>[4,5,3,6,1,2]=>[1,4,6,2,5,3]=>[1,6,5,4,2,3]
[{4},{6},{3,5},{1,2}]=>[4,6,3,5,1,2]=>[1,4,5,2,6,3]=>[1,5,6,4,2,3]
[{5},{4},{3,6},{1,2}]=>[5,4,3,6,1,2]=>[1,5,2,4,6,3]=>[1,5,6,2,4,3]
[{6},{4},{3,5},{1,2}]=>[6,4,3,5,1,2]=>[1,6,2,4,5,3]=>[1,6,5,2,4,3]
[{5},{6},{3,4},{1,2}]=>[5,6,3,4,1,2]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]
[{6},{5},{3,4},{1,2}]=>[6,5,3,4,1,2]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]
[{1},{2},{3,4,5},{6}]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{2},{3,4,6},{5}]=>[1,2,3,4,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{2},{3,5,6},{4}]=>[1,2,3,5,6,4]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{2},{4,5,6},{3}]=>[1,2,4,5,6,3]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{3},{2,4,5},{6}]=>[1,3,2,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{3},{2,4,6},{5}]=>[1,3,2,4,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{3},{2,5,6},{4}]=>[1,3,2,5,6,4]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{4},{2,3,5},{6}]=>[1,4,2,3,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1},{4},{2,3,6},{5}]=>[1,4,2,3,6,5]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1},{5},{2,3,4},{6}]=>[1,5,2,3,4,6]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{1},{6},{2,3,4},{5}]=>[1,6,2,3,4,5]=>[1,2,6,5,4,3]=>[1,2,4,5,6,3]
[{1},{5},{2,3,6},{4}]=>[1,5,2,3,6,4]=>[1,2,5,6,4,3]=>[1,2,4,6,5,3]
[{1},{6},{2,3,5},{4}]=>[1,6,2,3,5,4]=>[1,2,6,4,3,5]=>[1,2,4,6,3,5]
[{1},{4},{2,5,6},{3}]=>[1,4,2,5,6,3]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]
[{1},{5},{2,4,6},{3}]=>[1,5,2,4,6,3]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]
[{1},{6},{2,4,5},{3}]=>[1,6,2,4,5,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{1},{3},{4,5,6},{2}]=>[1,3,4,5,6,2]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{4},{3,5,6},{2}]=>[1,4,3,5,6,2]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]
[{1},{5},{3,4,6},{2}]=>[1,5,3,4,6,2]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]
[{1},{6},{3,4,5},{2}]=>[1,6,3,4,5,2]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{2},{1},{3,4,5},{6}]=>[2,1,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{1},{3,4,6},{5}]=>[2,1,3,4,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{1},{3,5,6},{4}]=>[2,1,3,5,6,4]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{1},{4,5,6},{3}]=>[2,1,4,5,6,3]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{3},{1},{2,4,5},{6}]=>[3,1,2,4,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{1},{2,4,6},{5}]=>[3,1,2,4,6,5]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{1},{2,5,6},{4}]=>[3,1,2,5,6,4]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{4},{1},{2,3,5},{6}]=>[4,1,2,3,5,6]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]
[{4},{1},{2,3,6},{5}]=>[4,1,2,3,6,5]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]
[{5},{1},{2,3,4},{6}]=>[5,1,2,3,4,6]=>[1,5,4,3,2,6]=>[1,3,4,5,2,6]
[{6},{1},{2,3,4},{5}]=>[6,1,2,3,4,5]=>[1,6,5,4,3,2]=>[1,3,4,5,6,2]
[{5},{1},{2,3,6},{4}]=>[5,1,2,3,6,4]=>[1,5,6,4,3,2]=>[1,3,4,6,5,2]
[{6},{1},{2,3,5},{4}]=>[6,1,2,3,5,4]=>[1,6,4,3,2,5]=>[1,3,4,6,2,5]
[{4},{1},{2,5,6},{3}]=>[4,1,2,5,6,3]=>[1,4,5,6,3,2]=>[1,3,6,4,5,2]
[{5},{1},{2,4,6},{3}]=>[5,1,2,4,6,3]=>[1,5,6,3,2,4]=>[1,3,6,2,5,4]
[{6},{1},{2,4,5},{3}]=>[6,1,2,4,5,3]=>[1,6,3,2,4,5]=>[1,3,6,2,4,5]
[{3},{1},{4,5,6},{2}]=>[3,1,4,5,6,2]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2]
[{4},{1},{3,5,6},{2}]=>[4,1,3,5,6,2]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]
[{5},{1},{3,4,6},{2}]=>[5,1,3,4,6,2]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]
[{6},{1},{3,4,5},{2}]=>[6,1,3,4,5,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[{2},{3},{1,4,5},{6}]=>[2,3,1,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{3},{1,4,6},{5}]=>[2,3,1,4,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{3},{1,5,6},{4}]=>[2,3,1,5,6,4]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{4},{1,3,5},{6}]=>[2,4,1,3,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2},{4},{1,3,6},{5}]=>[2,4,1,3,6,5]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2},{5},{1,3,4},{6}]=>[2,5,1,3,4,6]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{2},{6},{1,3,4},{5}]=>[2,6,1,3,4,5]=>[1,2,6,5,4,3]=>[1,2,4,5,6,3]
[{2},{5},{1,3,6},{4}]=>[2,5,1,3,6,4]=>[1,2,5,6,4,3]=>[1,2,4,6,5,3]
[{2},{6},{1,3,5},{4}]=>[2,6,1,3,5,4]=>[1,2,6,4,3,5]=>[1,2,4,6,3,5]
[{2},{4},{1,5,6},{3}]=>[2,4,1,5,6,3]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]
[{2},{5},{1,4,6},{3}]=>[2,5,1,4,6,3]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]
[{2},{6},{1,4,5},{3}]=>[2,6,1,4,5,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{3},{2},{1,4,5},{6}]=>[3,2,1,4,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{2},{1,4,6},{5}]=>[3,2,1,4,6,5]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{2},{1,5,6},{4}]=>[3,2,1,5,6,4]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{4},{2},{1,3,5},{6}]=>[4,2,1,3,5,6]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]
[{4},{2},{1,3,6},{5}]=>[4,2,1,3,6,5]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]
[{5},{2},{1,3,4},{6}]=>[5,2,1,3,4,6]=>[1,5,4,3,2,6]=>[1,3,4,5,2,6]
[{6},{2},{1,3,4},{5}]=>[6,2,1,3,4,5]=>[1,6,5,4,3,2]=>[1,3,4,5,6,2]
[{5},{2},{1,3,6},{4}]=>[5,2,1,3,6,4]=>[1,5,6,4,3,2]=>[1,3,4,6,5,2]
[{6},{2},{1,3,5},{4}]=>[6,2,1,3,5,4]=>[1,6,4,3,2,5]=>[1,3,4,6,2,5]
[{4},{2},{1,5,6},{3}]=>[4,2,1,5,6,3]=>[1,4,5,6,3,2]=>[1,3,6,4,5,2]
[{5},{2},{1,4,6},{3}]=>[5,2,1,4,6,3]=>[1,5,6,3,2,4]=>[1,3,6,2,5,4]
[{6},{2},{1,4,5},{3}]=>[6,2,1,4,5,3]=>[1,6,3,2,4,5]=>[1,3,6,2,4,5]
[{3},{4},{1,2,5},{6}]=>[3,4,1,2,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{4},{1,2,6},{5}]=>[3,4,1,2,6,5]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{5},{1,2,4},{6}]=>[3,5,1,2,4,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]
[{3},{6},{1,2,4},{5}]=>[3,6,1,2,4,5]=>[1,3,2,6,5,4]=>[1,3,2,5,6,4]
[{3},{5},{1,2,6},{4}]=>[3,5,1,2,6,4]=>[1,3,2,5,6,4]=>[1,3,2,6,5,4]
[{3},{6},{1,2,5},{4}]=>[3,6,1,2,5,4]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]
[{4},{3},{1,2,5},{6}]=>[4,3,1,2,5,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{4},{3},{1,2,6},{5}]=>[4,3,1,2,6,5]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{5},{3},{1,2,4},{6}]=>[5,3,1,2,4,6]=>[1,5,4,2,3,6]=>[1,4,2,5,3,6]
[{6},{3},{1,2,4},{5}]=>[6,3,1,2,4,5]=>[1,6,5,4,2,3]=>[1,4,2,5,6,3]
[{5},{3},{1,2,6},{4}]=>[5,3,1,2,6,4]=>[1,5,6,4,2,3]=>[1,4,2,6,5,3]
[{6},{3},{1,2,5},{4}]=>[6,3,1,2,5,4]=>[1,6,4,2,3,5]=>[1,4,2,6,3,5]
[{4},{5},{1,2,3},{6}]=>[4,5,1,2,3,6]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{4},{6},{1,2,3},{5}]=>[4,6,1,2,3,5]=>[1,4,2,6,5,3]=>[1,4,5,2,6,3]
[{5},{4},{1,2,3},{6}]=>[5,4,1,2,3,6]=>[1,5,3,2,4,6]=>[1,3,5,2,4,6]
[{6},{4},{1,2,3},{5}]=>[6,4,1,2,3,5]=>[1,6,5,3,2,4]=>[1,3,5,2,6,4]
[{5},{6},{1,2,3},{4}]=>[5,6,1,2,3,4]=>[1,5,3,2,6,4]=>[1,3,5,6,2,4]
[{6},{5},{1,2,3},{4}]=>[6,5,1,2,3,4]=>[1,6,4,2,5,3]=>[1,4,6,5,3,2]
[{4},{5},{1,2,6},{3}]=>[4,5,1,2,6,3]=>[1,4,2,5,6,3]=>[1,4,6,2,5,3]
[{4},{6},{1,2,5},{3}]=>[4,6,1,2,5,3]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]
[{5},{4},{1,2,6},{3}]=>[5,4,1,2,6,3]=>[1,5,6,3,2,4]=>[1,3,6,2,5,4]
[{6},{4},{1,2,5},{3}]=>[6,4,1,2,5,3]=>[1,6,3,2,4,5]=>[1,3,6,2,4,5]
[{5},{6},{1,2,4},{3}]=>[5,6,1,2,4,3]=>[1,5,4,2,6,3]=>[1,4,5,6,3,2]
[{6},{5},{1,2,4},{3}]=>[6,5,1,2,4,3]=>[1,6,3,2,5,4]=>[1,3,6,5,2,4]
[{3},{4},{1,5,6},{2}]=>[3,4,1,5,6,2]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{5},{1,4,6},{2}]=>[3,5,1,4,6,2]=>[1,3,2,5,6,4]=>[1,3,2,6,5,4]
[{3},{6},{1,4,5},{2}]=>[3,6,1,4,5,2]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]
[{4},{3},{1,5,6},{2}]=>[4,3,1,5,6,2]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]
[{5},{3},{1,4,6},{2}]=>[5,3,1,4,6,2]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]
[{6},{3},{1,4,5},{2}]=>[6,3,1,4,5,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[{4},{5},{1,3,6},{2}]=>[4,5,1,3,6,2]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]
[{4},{6},{1,3,5},{2}]=>[4,6,1,3,5,2]=>[1,4,3,2,6,5]=>[1,3,4,2,6,5]
[{5},{4},{1,3,6},{2}]=>[5,4,1,3,6,2]=>[1,5,6,2,4,3]=>[1,6,4,2,5,3]
[{6},{4},{1,3,5},{2}]=>[6,4,1,3,5,2]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]
[{5},{6},{1,3,4},{2}]=>[5,6,1,3,4,2]=>[1,5,4,3,2,6]=>[1,3,4,5,2,6]
[{6},{5},{1,3,4},{2}]=>[6,5,1,3,4,2]=>[1,6,2,5,4,3]=>[1,6,4,5,2,3]
[{2},{3},{4,5,6},{1}]=>[2,3,4,5,6,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{4},{3,5,6},{1}]=>[2,4,3,5,6,1]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]
[{2},{5},{3,4,6},{1}]=>[2,5,3,4,6,1]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]
[{2},{6},{3,4,5},{1}]=>[2,6,3,4,5,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{3},{2},{4,5,6},{1}]=>[3,2,4,5,6,1]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2]
[{4},{2},{3,5,6},{1}]=>[4,2,3,5,6,1]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]
[{5},{2},{3,4,6},{1}]=>[5,2,3,4,6,1]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]
[{6},{2},{3,4,5},{1}]=>[6,2,3,4,5,1]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[{3},{4},{2,5,6},{1}]=>[3,4,2,5,6,1]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{5},{2,4,6},{1}]=>[3,5,2,4,6,1]=>[1,3,2,5,6,4]=>[1,3,2,6,5,4]
[{3},{6},{2,4,5},{1}]=>[3,6,2,4,5,1]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]
[{4},{3},{2,5,6},{1}]=>[4,3,2,5,6,1]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]
[{5},{3},{2,4,6},{1}]=>[5,3,2,4,6,1]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]
[{6},{3},{2,4,5},{1}]=>[6,3,2,4,5,1]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[{4},{5},{2,3,6},{1}]=>[4,5,2,3,6,1]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]
[{4},{6},{2,3,5},{1}]=>[4,6,2,3,5,1]=>[1,4,3,2,6,5]=>[1,3,4,2,6,5]
[{5},{4},{2,3,6},{1}]=>[5,4,2,3,6,1]=>[1,5,6,2,4,3]=>[1,6,4,2,5,3]
[{6},{4},{2,3,5},{1}]=>[6,4,2,3,5,1]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]
[{5},{6},{2,3,4},{1}]=>[5,6,2,3,4,1]=>[1,5,4,3,2,6]=>[1,3,4,5,2,6]
[{6},{5},{2,3,4},{1}]=>[6,5,2,3,4,1]=>[1,6,2,5,4,3]=>[1,6,4,5,2,3]
[{1},{2},{3,4,5,6}]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{3},{2,4,5,6}]=>[1,3,2,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{4},{2,3,5,6}]=>[1,4,2,3,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1},{5},{2,3,4,6}]=>[1,5,2,3,4,6]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{1},{6},{2,3,4,5}]=>[1,6,2,3,4,5]=>[1,2,6,5,4,3]=>[1,2,4,5,6,3]
[{2},{1},{3,4,5,6}]=>[2,1,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{3},{1},{2,4,5,6}]=>[3,1,2,4,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{4},{1},{2,3,5,6}]=>[4,1,2,3,5,6]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]
[{5},{1},{2,3,4,6}]=>[5,1,2,3,4,6]=>[1,5,4,3,2,6]=>[1,3,4,5,2,6]
[{6},{1},{2,3,4,5}]=>[6,1,2,3,4,5]=>[1,6,5,4,3,2]=>[1,3,4,5,6,2]
[{2},{3},{1,4,5,6}]=>[2,3,1,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{4},{1,3,5,6}]=>[2,4,1,3,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2},{5},{1,3,4,6}]=>[2,5,1,3,4,6]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{2},{6},{1,3,4,5}]=>[2,6,1,3,4,5]=>[1,2,6,5,4,3]=>[1,2,4,5,6,3]
[{3},{2},{1,4,5,6}]=>[3,2,1,4,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{4},{2},{1,3,5,6}]=>[4,2,1,3,5,6]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]
[{5},{2},{1,3,4,6}]=>[5,2,1,3,4,6]=>[1,5,4,3,2,6]=>[1,3,4,5,2,6]
[{6},{2},{1,3,4,5}]=>[6,2,1,3,4,5]=>[1,6,5,4,3,2]=>[1,3,4,5,6,2]
[{3},{4},{1,2,5,6}]=>[3,4,1,2,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{5},{1,2,4,6}]=>[3,5,1,2,4,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]
[{3},{6},{1,2,4,5}]=>[3,6,1,2,4,5]=>[1,3,2,6,5,4]=>[1,3,2,5,6,4]
[{4},{3},{1,2,5,6}]=>[4,3,1,2,5,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{5},{3},{1,2,4,6}]=>[5,3,1,2,4,6]=>[1,5,4,2,3,6]=>[1,4,2,5,3,6]
[{6},{3},{1,2,4,5}]=>[6,3,1,2,4,5]=>[1,6,5,4,2,3]=>[1,4,2,5,6,3]
[{4},{5},{1,2,3,6}]=>[4,5,1,2,3,6]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{4},{6},{1,2,3,5}]=>[4,6,1,2,3,5]=>[1,4,2,6,5,3]=>[1,4,5,2,6,3]
[{5},{4},{1,2,3,6}]=>[5,4,1,2,3,6]=>[1,5,3,2,4,6]=>[1,3,5,2,4,6]
[{6},{4},{1,2,3,5}]=>[6,4,1,2,3,5]=>[1,6,5,3,2,4]=>[1,3,5,2,6,4]
[{5},{6},{1,2,3,4}]=>[5,6,1,2,3,4]=>[1,5,3,2,6,4]=>[1,3,5,6,2,4]
[{6},{5},{1,2,3,4}]=>[6,5,1,2,3,4]=>[1,6,4,2,5,3]=>[1,4,6,5,3,2]
[{1},{2,3},{4},{5},{6}]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{2,3},{4},{6},{5}]=>[1,2,3,4,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{2,3},{5},{4},{6}]=>[1,2,3,5,4,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{2,3},{6},{4},{5}]=>[1,2,3,6,4,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1},{2,3},{5},{6},{4}]=>[1,2,3,5,6,4]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{2,3},{6},{5},{4}]=>[1,2,3,6,5,4]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1},{2,4},{3},{5},{6}]=>[1,2,4,3,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{2,4},{3},{6},{5}]=>[1,2,4,3,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{2,5},{3},{4},{6}]=>[1,2,5,3,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1},{2,6},{3},{4},{5}]=>[1,2,6,3,4,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{1},{2,5},{3},{6},{4}]=>[1,2,5,3,6,4]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]
[{1},{2,6},{3},{5},{4}]=>[1,2,6,3,5,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{1},{2,4},{5},{3},{6}]=>[1,2,4,5,3,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{2,4},{6},{3},{5}]=>[1,2,4,6,3,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1},{2,5},{4},{3},{6}]=>[1,2,5,4,3,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1},{2,6},{4},{3},{5}]=>[1,2,6,4,3,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{1},{2,5},{6},{3},{4}]=>[1,2,5,6,3,4]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1},{2,6},{5},{3},{4}]=>[1,2,6,5,3,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{1},{2,4},{5},{6},{3}]=>[1,2,4,5,6,3]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{2,4},{6},{5},{3}]=>[1,2,4,6,5,3]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1},{2,5},{4},{6},{3}]=>[1,2,5,4,6,3]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]
[{1},{2,6},{4},{5},{3}]=>[1,2,6,4,5,3]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{1},{2,5},{6},{4},{3}]=>[1,2,5,6,4,3]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1},{2,6},{5},{4},{3}]=>[1,2,6,5,4,3]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{1},{3,4},{2},{5},{6}]=>[1,3,4,2,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{3,4},{2},{6},{5}]=>[1,3,4,2,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{3,5},{2},{4},{6}]=>[1,3,5,2,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1},{3,6},{2},{4},{5}]=>[1,3,6,2,4,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{1},{3,5},{2},{6},{4}]=>[1,3,5,2,6,4]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]
[{1},{3,6},{2},{5},{4}]=>[1,3,6,2,5,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{1},{4,5},{2},{3},{6}]=>[1,4,5,2,3,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1},{4,6},{2},{3},{5}]=>[1,4,6,2,3,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{1},{5,6},{2},{3},{4}]=>[1,5,6,2,3,4]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[{1},{4,5},{2},{6},{3}]=>[1,4,5,2,6,3]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1},{4,6},{2},{5},{3}]=>[1,4,6,2,5,3]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{1},{5,6},{2},{4},{3}]=>[1,5,6,2,4,3]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{1},{3,4},{5},{2},{6}]=>[1,3,4,5,2,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{3,4},{6},{2},{5}]=>[1,3,4,6,2,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1},{3,5},{4},{2},{6}]=>[1,3,5,4,2,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1},{3,6},{4},{2},{5}]=>[1,3,6,4,2,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{1},{3,5},{6},{2},{4}]=>[1,3,5,6,2,4]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1},{3,6},{5},{2},{4}]=>[1,3,6,5,2,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{1},{4,5},{3},{2},{6}]=>[1,4,5,3,2,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1},{4,6},{3},{2},{5}]=>[1,4,6,3,2,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{1},{5,6},{3},{2},{4}]=>[1,5,6,3,2,4]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[{1},{4,5},{6},{2},{3}]=>[1,4,5,6,2,3]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]
[{1},{4,6},{5},{2},{3}]=>[1,4,6,5,2,3]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]
[{1},{5,6},{4},{2},{3}]=>[1,5,6,4,2,3]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[{1},{3,4},{5},{6},{2}]=>[1,3,4,5,6,2]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{3,4},{6},{5},{2}]=>[1,3,4,6,5,2]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1},{3,5},{4},{6},{2}]=>[1,3,5,4,6,2]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]
[{1},{3,6},{4},{5},{2}]=>[1,3,6,4,5,2]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{1},{3,5},{6},{4},{2}]=>[1,3,5,6,4,2]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1},{3,6},{5},{4},{2}]=>[1,3,6,5,4,2]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{1},{4,5},{3},{6},{2}]=>[1,4,5,3,6,2]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1},{4,6},{3},{5},{2}]=>[1,4,6,3,5,2]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{1},{5,6},{3},{4},{2}]=>[1,5,6,3,4,2]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{1},{4,5},{6},{3},{2}]=>[1,4,5,6,3,2]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]
[{1},{4,6},{5},{3},{2}]=>[1,4,6,5,3,2]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]
[{1},{5,6},{4},{3},{2}]=>[1,5,6,4,3,2]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[{2},{1,3},{4},{5},{6}]=>[2,1,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{1,3},{4},{6},{5}]=>[2,1,3,4,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{1,3},{5},{4},{6}]=>[2,1,3,5,4,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{1,3},{6},{4},{5}]=>[2,1,3,6,4,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{2},{1,3},{5},{6},{4}]=>[2,1,3,5,6,4]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{1,3},{6},{5},{4}]=>[2,1,3,6,5,4]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{2},{1,4},{3},{5},{6}]=>[2,1,4,3,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{1,4},{3},{6},{5}]=>[2,1,4,3,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{1,5},{3},{4},{6}]=>[2,1,5,3,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{2},{1,6},{3},{4},{5}]=>[2,1,6,3,4,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{2},{1,5},{3},{6},{4}]=>[2,1,5,3,6,4]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]
[{2},{1,6},{3},{5},{4}]=>[2,1,6,3,5,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{2},{1,4},{5},{3},{6}]=>[2,1,4,5,3,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{1,4},{6},{3},{5}]=>[2,1,4,6,3,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{2},{1,5},{4},{3},{6}]=>[2,1,5,4,3,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{2},{1,6},{4},{3},{5}]=>[2,1,6,4,3,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{2},{1,5},{6},{3},{4}]=>[2,1,5,6,3,4]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{2},{1,6},{5},{3},{4}]=>[2,1,6,5,3,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{2},{1,4},{5},{6},{3}]=>[2,1,4,5,6,3]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{1,4},{6},{5},{3}]=>[2,1,4,6,5,3]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{2},{1,5},{4},{6},{3}]=>[2,1,5,4,6,3]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]
[{2},{1,6},{4},{5},{3}]=>[2,1,6,4,5,3]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{2},{1,5},{6},{4},{3}]=>[2,1,5,6,4,3]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{2},{1,6},{5},{4},{3}]=>[2,1,6,5,4,3]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{3},{1,2},{4},{5},{6}]=>[3,1,2,4,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{1,2},{4},{6},{5}]=>[3,1,2,4,6,5]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{1,2},{5},{4},{6}]=>[3,1,2,5,4,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{1,2},{6},{4},{5}]=>[3,1,2,6,4,5]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]
[{3},{1,2},{5},{6},{4}]=>[3,1,2,5,6,4]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{1,2},{6},{5},{4}]=>[3,1,2,6,5,4]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]
[{4},{1,2},{3},{5},{6}]=>[4,1,2,3,5,6]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]
[{4},{1,2},{3},{6},{5}]=>[4,1,2,3,6,5]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]
[{5},{1,2},{3},{4},{6}]=>[5,1,2,3,4,6]=>[1,5,4,3,2,6]=>[1,3,4,5,2,6]
[{6},{1,2},{3},{4},{5}]=>[6,1,2,3,4,5]=>[1,6,5,4,3,2]=>[1,3,4,5,6,2]
[{5},{1,2},{3},{6},{4}]=>[5,1,2,3,6,4]=>[1,5,6,4,3,2]=>[1,3,4,6,5,2]
[{6},{1,2},{3},{5},{4}]=>[6,1,2,3,5,4]=>[1,6,4,3,2,5]=>[1,3,4,6,2,5]
[{4},{1,2},{5},{3},{6}]=>[4,1,2,5,3,6]=>[1,4,5,3,2,6]=>[1,3,5,4,2,6]
[{4},{1,2},{6},{3},{5}]=>[4,1,2,6,3,5]=>[1,4,6,5,3,2]=>[1,3,5,4,6,2]
[{5},{1,2},{4},{3},{6}]=>[5,1,2,4,3,6]=>[1,5,3,2,4,6]=>[1,3,5,2,4,6]
[{6},{1,2},{4},{3},{5}]=>[6,1,2,4,3,5]=>[1,6,5,3,2,4]=>[1,3,5,2,6,4]
[{5},{1,2},{6},{3},{4}]=>[5,1,2,6,3,4]=>[1,5,3,2,4,6]=>[1,3,5,2,4,6]
[{6},{1,2},{5},{3},{4}]=>[6,1,2,5,3,4]=>[1,6,4,5,3,2]=>[1,3,5,6,4,2]
[{4},{1,2},{5},{6},{3}]=>[4,1,2,5,6,3]=>[1,4,5,6,3,2]=>[1,3,6,4,5,2]
[{4},{1,2},{6},{5},{3}]=>[4,1,2,6,5,3]=>[1,4,6,3,2,5]=>[1,3,6,4,2,5]
[{5},{1,2},{4},{6},{3}]=>[5,1,2,4,6,3]=>[1,5,6,3,2,4]=>[1,3,6,2,5,4]
[{6},{1,2},{4},{5},{3}]=>[6,1,2,4,5,3]=>[1,6,3,2,4,5]=>[1,3,6,2,4,5]
[{5},{1,2},{6},{4},{3}]=>[5,1,2,6,4,3]=>[1,5,4,6,3,2]=>[1,3,6,5,4,2]
[{6},{1,2},{5},{4},{3}]=>[6,1,2,5,4,3]=>[1,6,3,2,4,5]=>[1,3,6,2,4,5]
[{3},{1,4},{2},{5},{6}]=>[3,1,4,2,5,6]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]
[{3},{1,4},{2},{6},{5}]=>[3,1,4,2,6,5]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]
[{3},{1,5},{2},{4},{6}]=>[3,1,5,2,4,6]=>[1,3,5,4,2,6]=>[1,4,3,5,2,6]
[{3},{1,6},{2},{4},{5}]=>[3,1,6,2,4,5]=>[1,3,6,5,4,2]=>[1,4,3,5,6,2]
[{3},{1,5},{2},{6},{4}]=>[3,1,5,2,6,4]=>[1,3,5,6,4,2]=>[1,4,3,6,5,2]
[{3},{1,6},{2},{5},{4}]=>[3,1,6,2,5,4]=>[1,3,6,4,2,5]=>[1,4,3,6,2,5]
[{4},{1,3},{2},{5},{6}]=>[4,1,3,2,5,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{4},{1,3},{2},{6},{5}]=>[4,1,3,2,6,5]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{5},{1,3},{2},{4},{6}]=>[5,1,3,2,4,6]=>[1,5,4,2,3,6]=>[1,4,2,5,3,6]
[{6},{1,3},{2},{4},{5}]=>[6,1,3,2,4,5]=>[1,6,5,4,2,3]=>[1,4,2,5,6,3]
[{5},{1,3},{2},{6},{4}]=>[5,1,3,2,6,4]=>[1,5,6,4,2,3]=>[1,4,2,6,5,3]
[{6},{1,3},{2},{5},{4}]=>[6,1,3,2,5,4]=>[1,6,4,2,3,5]=>[1,4,2,6,3,5]
[{4},{1,5},{2},{3},{6}]=>[4,1,5,2,3,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{4},{1,6},{2},{3},{5}]=>[4,1,6,2,3,5]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]
[{5},{1,4},{2},{3},{6}]=>[5,1,4,2,3,6]=>[1,5,3,4,2,6]=>[1,4,5,3,2,6]
[{6},{1,4},{2},{3},{5}]=>[6,1,4,2,3,5]=>[1,6,5,3,4,2]=>[1,4,5,3,6,2]
[{5},{1,6},{2},{3},{4}]=>[5,1,6,2,3,4]=>[1,5,3,6,4,2]=>[1,4,6,5,2,3]
[{6},{1,5},{2},{3},{4}]=>[6,1,5,2,3,4]=>[1,6,4,2,3,5]=>[1,4,2,6,3,5]
[{4},{1,5},{2},{6},{3}]=>[4,1,5,2,6,3]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{4},{1,6},{2},{5},{3}]=>[4,1,6,2,5,3]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]
[{5},{1,4},{2},{6},{3}]=>[5,1,4,2,6,3]=>[1,5,6,3,4,2]=>[1,4,6,3,5,2]
[{6},{1,4},{2},{5},{3}]=>[6,1,4,2,5,3]=>[1,6,3,4,2,5]=>[1,4,6,3,2,5]
[{5},{1,6},{2},{4},{3}]=>[5,1,6,2,4,3]=>[1,5,4,2,3,6]=>[1,4,2,5,3,6]
[{6},{1,5},{2},{4},{3}]=>[6,1,5,2,4,3]=>[1,6,3,5,4,2]=>[1,4,5,6,2,3]
[{3},{1,4},{5},{2},{6}]=>[3,1,4,5,2,6]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]
[{3},{1,4},{6},{2},{5}]=>[3,1,4,6,2,5]=>[1,3,4,6,5,2]=>[1,5,3,4,6,2]
[{3},{1,5},{4},{2},{6}]=>[3,1,5,4,2,6]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[{3},{1,6},{4},{2},{5}]=>[3,1,6,4,2,5]=>[1,3,6,5,2,4]=>[1,5,3,2,6,4]
[{3},{1,5},{6},{2},{4}]=>[3,1,5,6,2,4]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[{3},{1,6},{5},{2},{4}]=>[3,1,6,5,2,4]=>[1,3,6,4,5,2]=>[1,5,3,6,4,2]
[{4},{1,3},{5},{2},{6}]=>[4,1,3,5,2,6]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]
[{4},{1,3},{6},{2},{5}]=>[4,1,3,6,2,5]=>[1,4,6,5,2,3]=>[1,5,2,4,6,3]
[{5},{1,3},{4},{2},{6}]=>[5,1,3,4,2,6]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{1,3},{4},{2},{5}]=>[6,1,3,4,2,5]=>[1,6,5,2,3,4]=>[1,5,2,3,6,4]
[{5},{1,3},{6},{2},{4}]=>[5,1,3,6,2,4]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{1,3},{5},{2},{4}]=>[6,1,3,5,2,4]=>[1,6,4,5,2,3]=>[1,5,2,6,4,3]
[{4},{1,5},{3},{2},{6}]=>[4,1,5,3,2,6]=>[1,4,3,5,2,6]=>[1,5,4,3,2,6]
[{4},{1,6},{3},{2},{5}]=>[4,1,6,3,2,5]=>[1,4,3,6,5,2]=>[1,5,4,3,6,2]
[{5},{1,4},{3},{2},{6}]=>[5,1,4,3,2,6]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{1,4},{3},{2},{5}]=>[6,1,4,3,2,5]=>[1,6,5,2,3,4]=>[1,5,2,3,6,4]
[{5},{1,6},{3},{2},{4}]=>[5,1,6,3,2,4]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]
[{6},{1,5},{3},{2},{4}]=>[6,1,5,3,2,4]=>[1,6,4,3,5,2]=>[1,5,4,6,3,2]
[{4},{1,5},{6},{2},{3}]=>[4,1,5,6,2,3]=>[1,4,6,3,5,2]=>[1,5,6,4,3,2]
[{4},{1,6},{5},{2},{3}]=>[4,1,6,5,2,3]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]
[{5},{1,4},{6},{2},{3}]=>[5,1,4,6,2,3]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{1,4},{5},{2},{3}]=>[6,1,4,5,2,3]=>[1,6,3,4,5,2]=>[1,5,6,3,4,2]
[{5},{1,6},{4},{2},{3}]=>[5,1,6,4,2,3]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]
[{6},{1,5},{4},{2},{3}]=>[6,1,5,4,2,3]=>[1,6,3,5,2,4]=>[1,5,6,2,3,4]
[{3},{1,4},{5},{6},{2}]=>[3,1,4,5,6,2]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2]
[{3},{1,4},{6},{5},{2}]=>[3,1,4,6,5,2]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]
[{3},{1,5},{4},{6},{2}]=>[3,1,5,4,6,2]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]
[{3},{1,6},{4},{5},{2}]=>[3,1,6,4,5,2]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]
[{3},{1,5},{6},{4},{2}]=>[3,1,5,6,4,2]=>[1,3,5,4,6,2]=>[1,6,3,5,4,2]
[{3},{1,6},{5},{4},{2}]=>[3,1,6,5,4,2]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]
[{4},{1,3},{5},{6},{2}]=>[4,1,3,5,6,2]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]
[{4},{1,3},{6},{5},{2}]=>[4,1,3,6,5,2]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]
[{5},{1,3},{4},{6},{2}]=>[5,1,3,4,6,2]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]
[{6},{1,3},{4},{5},{2}]=>[6,1,3,4,5,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[{5},{1,3},{6},{4},{2}]=>[5,1,3,6,4,2]=>[1,5,4,6,2,3]=>[1,6,2,5,4,3]
[{6},{1,3},{5},{4},{2}]=>[6,1,3,5,4,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[{4},{1,5},{3},{6},{2}]=>[4,1,5,3,6,2]=>[1,4,3,5,6,2]=>[1,6,4,3,5,2]
[{4},{1,6},{3},{5},{2}]=>[4,1,6,3,5,2]=>[1,4,3,6,2,5]=>[1,6,4,3,2,5]
[{5},{1,4},{3},{6},{2}]=>[5,1,4,3,6,2]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]
[{6},{1,4},{3},{5},{2}]=>[6,1,4,3,5,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[{5},{1,6},{3},{4},{2}]=>[5,1,6,3,4,2]=>[1,5,4,3,6,2]=>[1,6,4,5,3,2]
[{6},{1,5},{3},{4},{2}]=>[6,1,5,3,4,2]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]
[{4},{1,5},{6},{3},{2}]=>[4,1,5,6,3,2]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]
[{4},{1,6},{5},{3},{2}]=>[4,1,6,5,3,2]=>[1,4,5,3,6,2]=>[1,6,5,4,3,2]
[{5},{1,4},{6},{3},{2}]=>[5,1,4,6,3,2]=>[1,5,3,4,6,2]=>[1,6,5,3,4,2]
[{6},{1,4},{5},{3},{2}]=>[6,1,4,5,3,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[{5},{1,6},{4},{3},{2}]=>[5,1,6,4,3,2]=>[1,5,3,6,2,4]=>[1,6,5,2,3,4]
[{6},{1,5},{4},{3},{2}]=>[6,1,5,4,3,2]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]
[{2},{3,4},{1},{5},{6}]=>[2,3,4,1,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{3,4},{1},{6},{5}]=>[2,3,4,1,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{3,5},{1},{4},{6}]=>[2,3,5,1,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{2},{3,6},{1},{4},{5}]=>[2,3,6,1,4,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{2},{3,5},{1},{6},{4}]=>[2,3,5,1,6,4]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]
[{2},{3,6},{1},{5},{4}]=>[2,3,6,1,5,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{2},{4,5},{1},{3},{6}]=>[2,4,5,1,3,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2},{4,6},{1},{3},{5}]=>[2,4,6,1,3,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{2},{5,6},{1},{3},{4}]=>[2,5,6,1,3,4]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[{2},{4,5},{1},{6},{3}]=>[2,4,5,1,6,3]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2},{4,6},{1},{5},{3}]=>[2,4,6,1,5,3]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{2},{5,6},{1},{4},{3}]=>[2,5,6,1,4,3]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{3},{2,4},{1},{5},{6}]=>[3,2,4,1,5,6]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]
[{3},{2,4},{1},{6},{5}]=>[3,2,4,1,6,5]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]
[{3},{2,5},{1},{4},{6}]=>[3,2,5,1,4,6]=>[1,3,5,4,2,6]=>[1,4,3,5,2,6]
[{3},{2,6},{1},{4},{5}]=>[3,2,6,1,4,5]=>[1,3,6,5,4,2]=>[1,4,3,5,6,2]
[{3},{2,5},{1},{6},{4}]=>[3,2,5,1,6,4]=>[1,3,5,6,4,2]=>[1,4,3,6,5,2]
[{3},{2,6},{1},{5},{4}]=>[3,2,6,1,5,4]=>[1,3,6,4,2,5]=>[1,4,3,6,2,5]
[{4},{2,3},{1},{5},{6}]=>[4,2,3,1,5,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{4},{2,3},{1},{6},{5}]=>[4,2,3,1,6,5]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{5},{2,3},{1},{4},{6}]=>[5,2,3,1,4,6]=>[1,5,4,2,3,6]=>[1,4,2,5,3,6]
[{6},{2,3},{1},{4},{5}]=>[6,2,3,1,4,5]=>[1,6,5,4,2,3]=>[1,4,2,5,6,3]
[{5},{2,3},{1},{6},{4}]=>[5,2,3,1,6,4]=>[1,5,6,4,2,3]=>[1,4,2,6,5,3]
[{6},{2,3},{1},{5},{4}]=>[6,2,3,1,5,4]=>[1,6,4,2,3,5]=>[1,4,2,6,3,5]
[{4},{2,5},{1},{3},{6}]=>[4,2,5,1,3,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{4},{2,6},{1},{3},{5}]=>[4,2,6,1,3,5]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]
[{5},{2,4},{1},{3},{6}]=>[5,2,4,1,3,6]=>[1,5,3,4,2,6]=>[1,4,5,3,2,6]
[{6},{2,4},{1},{3},{5}]=>[6,2,4,1,3,5]=>[1,6,5,3,4,2]=>[1,4,5,3,6,2]
[{5},{2,6},{1},{3},{4}]=>[5,2,6,1,3,4]=>[1,5,3,6,4,2]=>[1,4,6,5,2,3]
[{6},{2,5},{1},{3},{4}]=>[6,2,5,1,3,4]=>[1,6,4,2,3,5]=>[1,4,2,6,3,5]
[{4},{2,5},{1},{6},{3}]=>[4,2,5,1,6,3]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{4},{2,6},{1},{5},{3}]=>[4,2,6,1,5,3]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]
[{5},{2,4},{1},{6},{3}]=>[5,2,4,1,6,3]=>[1,5,6,3,4,2]=>[1,4,6,3,5,2]
[{6},{2,4},{1},{5},{3}]=>[6,2,4,1,5,3]=>[1,6,3,4,2,5]=>[1,4,6,3,2,5]
[{5},{2,6},{1},{4},{3}]=>[5,2,6,1,4,3]=>[1,5,4,2,3,6]=>[1,4,2,5,3,6]
[{6},{2,5},{1},{4},{3}]=>[6,2,5,1,4,3]=>[1,6,3,5,4,2]=>[1,4,5,6,2,3]
[{3},{4,5},{1},{2},{6}]=>[3,4,5,1,2,6]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[{3},{4,6},{1},{2},{5}]=>[3,4,6,1,2,5]=>[1,3,6,5,2,4]=>[1,5,3,2,6,4]
[{3},{5,6},{1},{2},{4}]=>[3,5,6,1,2,4]=>[1,3,6,4,2,5]=>[1,4,3,6,2,5]
[{4},{3,5},{1},{2},{6}]=>[4,3,5,1,2,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{4},{3,6},{1},{2},{5}]=>[4,3,6,1,2,5]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]
[{5},{3,4},{1},{2},{6}]=>[5,3,4,1,2,6]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{3,4},{1},{2},{5}]=>[6,3,4,1,2,5]=>[1,6,5,2,3,4]=>[1,5,2,3,6,4]
[{5},{3,6},{1},{2},{4}]=>[5,3,6,1,2,4]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]
[{6},{3,5},{1},{2},{4}]=>[6,3,5,1,2,4]=>[1,6,4,2,3,5]=>[1,4,2,6,3,5]
[{4},{5,6},{1},{2},{3}]=>[4,5,6,1,2,3]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{5},{4,6},{1},{2},{3}]=>[5,4,6,1,2,3]=>[1,5,2,4,3,6]=>[1,5,4,2,3,6]
[{6},{4,5},{1},{2},{3}]=>[6,4,5,1,2,3]=>[1,6,3,5,2,4]=>[1,5,6,2,3,4]
[{3},{4,5},{1},{6},{2}]=>[3,4,5,1,6,2]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]
[{3},{4,6},{1},{5},{2}]=>[3,4,6,1,5,2]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]
[{3},{5,6},{1},{4},{2}]=>[3,5,6,1,4,2]=>[1,3,6,2,5,4]=>[1,6,3,5,2,4]
[{4},{3,5},{1},{6},{2}]=>[4,3,5,1,6,2]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{4},{3,6},{1},{5},{2}]=>[4,3,6,1,5,2]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]
[{5},{3,4},{1},{6},{2}]=>[5,3,4,1,6,2]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]
[{6},{3,4},{1},{5},{2}]=>[6,3,4,1,5,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[{5},{3,6},{1},{4},{2}]=>[5,3,6,1,4,2]=>[1,5,4,2,3,6]=>[1,4,2,5,3,6]
[{6},{3,5},{1},{4},{2}]=>[6,3,5,1,4,2]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]
[{4},{5,6},{1},{3},{2}]=>[4,5,6,1,3,2]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{5},{4,6},{1},{3},{2}]=>[5,4,6,1,3,2]=>[1,5,3,6,2,4]=>[1,6,5,2,3,4]
[{6},{4,5},{1},{3},{2}]=>[6,4,5,1,3,2]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]
[{2},{3,4},{5},{1},{6}]=>[2,3,4,5,1,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{3,4},{6},{1},{5}]=>[2,3,4,6,1,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{2},{3,5},{4},{1},{6}]=>[2,3,5,4,1,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{2},{3,6},{4},{1},{5}]=>[2,3,6,4,1,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{2},{3,5},{6},{1},{4}]=>[2,3,5,6,1,4]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{2},{3,6},{5},{1},{4}]=>[2,3,6,5,1,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{2},{4,5},{3},{1},{6}]=>[2,4,5,3,1,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2},{4,6},{3},{1},{5}]=>[2,4,6,3,1,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{2},{5,6},{3},{1},{4}]=>[2,5,6,3,1,4]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[{2},{4,5},{6},{1},{3}]=>[2,4,5,6,1,3]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]
[{2},{4,6},{5},{1},{3}]=>[2,4,6,5,1,3]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]
[{2},{5,6},{4},{1},{3}]=>[2,5,6,4,1,3]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[{3},{2,4},{5},{1},{6}]=>[3,2,4,5,1,6]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]
[{3},{2,4},{6},{1},{5}]=>[3,2,4,6,1,5]=>[1,3,4,6,5,2]=>[1,5,3,4,6,2]
[{3},{2,5},{4},{1},{6}]=>[3,2,5,4,1,6]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[{3},{2,6},{4},{1},{5}]=>[3,2,6,4,1,5]=>[1,3,6,5,2,4]=>[1,5,3,2,6,4]
[{3},{2,5},{6},{1},{4}]=>[3,2,5,6,1,4]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[{3},{2,6},{5},{1},{4}]=>[3,2,6,5,1,4]=>[1,3,6,4,5,2]=>[1,5,3,6,4,2]
[{4},{2,3},{5},{1},{6}]=>[4,2,3,5,1,6]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]
[{4},{2,3},{6},{1},{5}]=>[4,2,3,6,1,5]=>[1,4,6,5,2,3]=>[1,5,2,4,6,3]
[{5},{2,3},{4},{1},{6}]=>[5,2,3,4,1,6]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{2,3},{4},{1},{5}]=>[6,2,3,4,1,5]=>[1,6,5,2,3,4]=>[1,5,2,3,6,4]
[{5},{2,3},{6},{1},{4}]=>[5,2,3,6,1,4]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{2,3},{5},{1},{4}]=>[6,2,3,5,1,4]=>[1,6,4,5,2,3]=>[1,5,2,6,4,3]
[{4},{2,5},{3},{1},{6}]=>[4,2,5,3,1,6]=>[1,4,3,5,2,6]=>[1,5,4,3,2,6]
[{4},{2,6},{3},{1},{5}]=>[4,2,6,3,1,5]=>[1,4,3,6,5,2]=>[1,5,4,3,6,2]
[{5},{2,4},{3},{1},{6}]=>[5,2,4,3,1,6]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{2,4},{3},{1},{5}]=>[6,2,4,3,1,5]=>[1,6,5,2,3,4]=>[1,5,2,3,6,4]
[{5},{2,6},{3},{1},{4}]=>[5,2,6,3,1,4]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]
[{6},{2,5},{3},{1},{4}]=>[6,2,5,3,1,4]=>[1,6,4,3,5,2]=>[1,5,4,6,3,2]
[{4},{2,5},{6},{1},{3}]=>[4,2,5,6,1,3]=>[1,4,6,3,5,2]=>[1,5,6,4,3,2]
[{4},{2,6},{5},{1},{3}]=>[4,2,6,5,1,3]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]
[{5},{2,4},{6},{1},{3}]=>[5,2,4,6,1,3]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{2,4},{5},{1},{3}]=>[6,2,4,5,1,3]=>[1,6,3,4,5,2]=>[1,5,6,3,4,2]
[{5},{2,6},{4},{1},{3}]=>[5,2,6,4,1,3]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]
[{6},{2,5},{4},{1},{3}]=>[6,2,5,4,1,3]=>[1,6,3,5,2,4]=>[1,5,6,2,3,4]
[{3},{4,5},{2},{1},{6}]=>[3,4,5,2,1,6]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[{3},{4,6},{2},{1},{5}]=>[3,4,6,2,1,5]=>[1,3,6,5,2,4]=>[1,5,3,2,6,4]
[{3},{5,6},{2},{1},{4}]=>[3,5,6,2,1,4]=>[1,3,6,4,2,5]=>[1,4,3,6,2,5]
[{4},{3,5},{2},{1},{6}]=>[4,3,5,2,1,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{4},{3,6},{2},{1},{5}]=>[4,3,6,2,1,5]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]
[{5},{3,4},{2},{1},{6}]=>[5,3,4,2,1,6]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{3,4},{2},{1},{5}]=>[6,3,4,2,1,5]=>[1,6,5,2,3,4]=>[1,5,2,3,6,4]
[{5},{3,6},{2},{1},{4}]=>[5,3,6,2,1,4]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]
[{6},{3,5},{2},{1},{4}]=>[6,3,5,2,1,4]=>[1,6,4,2,3,5]=>[1,4,2,6,3,5]
[{4},{5,6},{2},{1},{3}]=>[4,5,6,2,1,3]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{5},{4,6},{2},{1},{3}]=>[5,4,6,2,1,3]=>[1,5,2,4,3,6]=>[1,5,4,2,3,6]
[{6},{4,5},{2},{1},{3}]=>[6,4,5,2,1,3]=>[1,6,3,5,2,4]=>[1,5,6,2,3,4]
[{3},{4,5},{6},{1},{2}]=>[3,4,5,6,1,2]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[{3},{4,6},{5},{1},{2}]=>[3,4,6,5,1,2]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]
[{3},{5,6},{4},{1},{2}]=>[3,5,6,4,1,2]=>[1,3,6,2,5,4]=>[1,6,3,5,2,4]
[{4},{3,5},{6},{1},{2}]=>[4,3,5,6,1,2]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]
[{4},{3,6},{5},{1},{2}]=>[4,3,6,5,1,2]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]
[{5},{3,4},{6},{1},{2}]=>[5,3,4,6,1,2]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{3,4},{5},{1},{2}]=>[6,3,4,5,1,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[{5},{3,6},{4},{1},{2}]=>[5,3,6,4,1,2]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]
[{6},{3,5},{4},{1},{2}]=>[6,3,5,4,1,2]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]
[{4},{5,6},{3},{1},{2}]=>[4,5,6,3,1,2]=>[1,4,3,6,2,5]=>[1,6,4,3,2,5]
[{5},{4,6},{3},{1},{2}]=>[5,4,6,3,1,2]=>[1,5,2,4,3,6]=>[1,5,4,2,3,6]
[{6},{4,5},{3},{1},{2}]=>[6,4,5,3,1,2]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]
[{2},{3,4},{5},{6},{1}]=>[2,3,4,5,6,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{3,4},{6},{5},{1}]=>[2,3,4,6,5,1]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{2},{3,5},{4},{6},{1}]=>[2,3,5,4,6,1]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]
[{2},{3,6},{4},{5},{1}]=>[2,3,6,4,5,1]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{2},{3,5},{6},{4},{1}]=>[2,3,5,6,4,1]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{2},{3,6},{5},{4},{1}]=>[2,3,6,5,4,1]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{2},{4,5},{3},{6},{1}]=>[2,4,5,3,6,1]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2},{4,6},{3},{5},{1}]=>[2,4,6,3,5,1]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{2},{5,6},{3},{4},{1}]=>[2,5,6,3,4,1]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{2},{4,5},{6},{3},{1}]=>[2,4,5,6,3,1]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]
[{2},{4,6},{5},{3},{1}]=>[2,4,6,5,3,1]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]
[{2},{5,6},{4},{3},{1}]=>[2,5,6,4,3,1]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[{3},{2,4},{5},{6},{1}]=>[3,2,4,5,6,1]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2]
[{3},{2,4},{6},{5},{1}]=>[3,2,4,6,5,1]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]
[{3},{2,5},{4},{6},{1}]=>[3,2,5,4,6,1]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]
[{3},{2,6},{4},{5},{1}]=>[3,2,6,4,5,1]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]
[{3},{2,5},{6},{4},{1}]=>[3,2,5,6,4,1]=>[1,3,5,4,6,2]=>[1,6,3,5,4,2]
[{3},{2,6},{5},{4},{1}]=>[3,2,6,5,4,1]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]
[{4},{2,3},{5},{6},{1}]=>[4,2,3,5,6,1]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]
[{4},{2,3},{6},{5},{1}]=>[4,2,3,6,5,1]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]
[{5},{2,3},{4},{6},{1}]=>[5,2,3,4,6,1]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]
[{6},{2,3},{4},{5},{1}]=>[6,2,3,4,5,1]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[{5},{2,3},{6},{4},{1}]=>[5,2,3,6,4,1]=>[1,5,4,6,2,3]=>[1,6,2,5,4,3]
[{6},{2,3},{5},{4},{1}]=>[6,2,3,5,4,1]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[{4},{2,5},{3},{6},{1}]=>[4,2,5,3,6,1]=>[1,4,3,5,6,2]=>[1,6,4,3,5,2]
[{4},{2,6},{3},{5},{1}]=>[4,2,6,3,5,1]=>[1,4,3,6,2,5]=>[1,6,4,3,2,5]
[{5},{2,4},{3},{6},{1}]=>[5,2,4,3,6,1]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]
[{6},{2,4},{3},{5},{1}]=>[6,2,4,3,5,1]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[{5},{2,6},{3},{4},{1}]=>[5,2,6,3,4,1]=>[1,5,4,3,6,2]=>[1,6,4,5,3,2]
[{6},{2,5},{3},{4},{1}]=>[6,2,5,3,4,1]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]
[{4},{2,5},{6},{3},{1}]=>[4,2,5,6,3,1]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]
[{4},{2,6},{5},{3},{1}]=>[4,2,6,5,3,1]=>[1,4,5,3,6,2]=>[1,6,5,4,3,2]
[{5},{2,4},{6},{3},{1}]=>[5,2,4,6,3,1]=>[1,5,3,4,6,2]=>[1,6,5,3,4,2]
[{6},{2,4},{5},{3},{1}]=>[6,2,4,5,3,1]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[{5},{2,6},{4},{3},{1}]=>[5,2,6,4,3,1]=>[1,5,3,6,2,4]=>[1,6,5,2,3,4]
[{6},{2,5},{4},{3},{1}]=>[6,2,5,4,3,1]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]
[{3},{4,5},{2},{6},{1}]=>[3,4,5,2,6,1]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]
[{3},{4,6},{2},{5},{1}]=>[3,4,6,2,5,1]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]
[{3},{5,6},{2},{4},{1}]=>[3,5,6,2,4,1]=>[1,3,6,2,5,4]=>[1,6,3,5,2,4]
[{4},{3,5},{2},{6},{1}]=>[4,3,5,2,6,1]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{4},{3,6},{2},{5},{1}]=>[4,3,6,2,5,1]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]
[{5},{3,4},{2},{6},{1}]=>[5,3,4,2,6,1]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]
[{6},{3,4},{2},{5},{1}]=>[6,3,4,2,5,1]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[{5},{3,6},{2},{4},{1}]=>[5,3,6,2,4,1]=>[1,5,4,2,3,6]=>[1,4,2,5,3,6]
[{6},{3,5},{2},{4},{1}]=>[6,3,5,2,4,1]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]
[{4},{5,6},{2},{3},{1}]=>[4,5,6,2,3,1]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{5},{4,6},{2},{3},{1}]=>[5,4,6,2,3,1]=>[1,5,3,6,2,4]=>[1,6,5,2,3,4]
[{6},{4,5},{2},{3},{1}]=>[6,4,5,2,3,1]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]
[{3},{4,5},{6},{2},{1}]=>[3,4,5,6,2,1]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[{3},{4,6},{5},{2},{1}]=>[3,4,6,5,2,1]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]
[{3},{5,6},{4},{2},{1}]=>[3,5,6,4,2,1]=>[1,3,6,2,5,4]=>[1,6,3,5,2,4]
[{4},{3,5},{6},{2},{1}]=>[4,3,5,6,2,1]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]
[{4},{3,6},{5},{2},{1}]=>[4,3,6,5,2,1]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]
[{5},{3,4},{6},{2},{1}]=>[5,3,4,6,2,1]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{3,4},{5},{2},{1}]=>[6,3,4,5,2,1]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[{5},{3,6},{4},{2},{1}]=>[5,3,6,4,2,1]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]
[{6},{3,5},{4},{2},{1}]=>[6,3,5,4,2,1]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]
[{4},{5,6},{3},{2},{1}]=>[4,5,6,3,2,1]=>[1,4,3,6,2,5]=>[1,6,4,3,2,5]
[{5},{4,6},{3},{2},{1}]=>[5,4,6,3,2,1]=>[1,5,2,4,3,6]=>[1,5,4,2,3,6]
[{6},{4,5},{3},{2},{1}]=>[6,4,5,3,2,1]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]
[{1},{2,3},{4},{5,6}]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{2,3},{5},{4,6}]=>[1,2,3,5,4,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{2,3},{6},{4,5}]=>[1,2,3,6,4,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1},{2,4},{3},{5,6}]=>[1,2,4,3,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{2,5},{3},{4,6}]=>[1,2,5,3,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1},{2,6},{3},{4,5}]=>[1,2,6,3,4,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{1},{2,4},{5},{3,6}]=>[1,2,4,5,3,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{2,4},{6},{3,5}]=>[1,2,4,6,3,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1},{2,5},{4},{3,6}]=>[1,2,5,4,3,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1},{2,6},{4},{3,5}]=>[1,2,6,4,3,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{1},{2,5},{6},{3,4}]=>[1,2,5,6,3,4]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1},{2,6},{5},{3,4}]=>[1,2,6,5,3,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{1},{3,4},{2},{5,6}]=>[1,3,4,2,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{3,5},{2},{4,6}]=>[1,3,5,2,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1},{3,6},{2},{4,5}]=>[1,3,6,2,4,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{1},{4,5},{2},{3,6}]=>[1,4,5,2,3,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1},{4,6},{2},{3,5}]=>[1,4,6,2,3,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{1},{5,6},{2},{3,4}]=>[1,5,6,2,3,4]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[{1},{3,4},{5},{2,6}]=>[1,3,4,5,2,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{3,4},{6},{2,5}]=>[1,3,4,6,2,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1},{3,5},{4},{2,6}]=>[1,3,5,4,2,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1},{3,6},{4},{2,5}]=>[1,3,6,4,2,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{1},{3,5},{6},{2,4}]=>[1,3,5,6,2,4]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1},{3,6},{5},{2,4}]=>[1,3,6,5,2,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{1},{4,5},{3},{2,6}]=>[1,4,5,3,2,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1},{4,6},{3},{2,5}]=>[1,4,6,3,2,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{1},{5,6},{3},{2,4}]=>[1,5,6,3,2,4]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[{1},{4,5},{6},{2,3}]=>[1,4,5,6,2,3]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]
[{1},{4,6},{5},{2,3}]=>[1,4,6,5,2,3]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]
[{1},{5,6},{4},{2,3}]=>[1,5,6,4,2,3]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[{2},{1,3},{4},{5,6}]=>[2,1,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{1,3},{5},{4,6}]=>[2,1,3,5,4,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{1,3},{6},{4,5}]=>[2,1,3,6,4,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{2},{1,4},{3},{5,6}]=>[2,1,4,3,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{1,5},{3},{4,6}]=>[2,1,5,3,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{2},{1,6},{3},{4,5}]=>[2,1,6,3,4,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{2},{1,4},{5},{3,6}]=>[2,1,4,5,3,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{1,4},{6},{3,5}]=>[2,1,4,6,3,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{2},{1,5},{4},{3,6}]=>[2,1,5,4,3,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{2},{1,6},{4},{3,5}]=>[2,1,6,4,3,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{2},{1,5},{6},{3,4}]=>[2,1,5,6,3,4]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{2},{1,6},{5},{3,4}]=>[2,1,6,5,3,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{3},{1,2},{4},{5,6}]=>[3,1,2,4,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{1,2},{5},{4,6}]=>[3,1,2,5,4,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{1,2},{6},{4,5}]=>[3,1,2,6,4,5]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]
[{4},{1,2},{3},{5,6}]=>[4,1,2,3,5,6]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]
[{5},{1,2},{3},{4,6}]=>[5,1,2,3,4,6]=>[1,5,4,3,2,6]=>[1,3,4,5,2,6]
[{6},{1,2},{3},{4,5}]=>[6,1,2,3,4,5]=>[1,6,5,4,3,2]=>[1,3,4,5,6,2]
[{4},{1,2},{5},{3,6}]=>[4,1,2,5,3,6]=>[1,4,5,3,2,6]=>[1,3,5,4,2,6]
[{4},{1,2},{6},{3,5}]=>[4,1,2,6,3,5]=>[1,4,6,5,3,2]=>[1,3,5,4,6,2]
[{5},{1,2},{4},{3,6}]=>[5,1,2,4,3,6]=>[1,5,3,2,4,6]=>[1,3,5,2,4,6]
[{6},{1,2},{4},{3,5}]=>[6,1,2,4,3,5]=>[1,6,5,3,2,4]=>[1,3,5,2,6,4]
[{5},{1,2},{6},{3,4}]=>[5,1,2,6,3,4]=>[1,5,3,2,4,6]=>[1,3,5,2,4,6]
[{6},{1,2},{5},{3,4}]=>[6,1,2,5,3,4]=>[1,6,4,5,3,2]=>[1,3,5,6,4,2]
[{3},{1,4},{2},{5,6}]=>[3,1,4,2,5,6]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]
[{3},{1,5},{2},{4,6}]=>[3,1,5,2,4,6]=>[1,3,5,4,2,6]=>[1,4,3,5,2,6]
[{3},{1,6},{2},{4,5}]=>[3,1,6,2,4,5]=>[1,3,6,5,4,2]=>[1,4,3,5,6,2]
[{4},{1,3},{2},{5,6}]=>[4,1,3,2,5,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{5},{1,3},{2},{4,6}]=>[5,1,3,2,4,6]=>[1,5,4,2,3,6]=>[1,4,2,5,3,6]
[{6},{1,3},{2},{4,5}]=>[6,1,3,2,4,5]=>[1,6,5,4,2,3]=>[1,4,2,5,6,3]
[{4},{1,5},{2},{3,6}]=>[4,1,5,2,3,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{4},{1,6},{2},{3,5}]=>[4,1,6,2,3,5]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]
[{5},{1,4},{2},{3,6}]=>[5,1,4,2,3,6]=>[1,5,3,4,2,6]=>[1,4,5,3,2,6]
[{6},{1,4},{2},{3,5}]=>[6,1,4,2,3,5]=>[1,6,5,3,4,2]=>[1,4,5,3,6,2]
[{5},{1,6},{2},{3,4}]=>[5,1,6,2,3,4]=>[1,5,3,6,4,2]=>[1,4,6,5,2,3]
[{6},{1,5},{2},{3,4}]=>[6,1,5,2,3,4]=>[1,6,4,2,3,5]=>[1,4,2,6,3,5]
[{3},{1,4},{5},{2,6}]=>[3,1,4,5,2,6]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]
[{3},{1,4},{6},{2,5}]=>[3,1,4,6,2,5]=>[1,3,4,6,5,2]=>[1,5,3,4,6,2]
[{3},{1,5},{4},{2,6}]=>[3,1,5,4,2,6]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[{3},{1,6},{4},{2,5}]=>[3,1,6,4,2,5]=>[1,3,6,5,2,4]=>[1,5,3,2,6,4]
[{3},{1,5},{6},{2,4}]=>[3,1,5,6,2,4]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[{3},{1,6},{5},{2,4}]=>[3,1,6,5,2,4]=>[1,3,6,4,5,2]=>[1,5,3,6,4,2]
[{4},{1,3},{5},{2,6}]=>[4,1,3,5,2,6]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]
[{4},{1,3},{6},{2,5}]=>[4,1,3,6,2,5]=>[1,4,6,5,2,3]=>[1,5,2,4,6,3]
[{5},{1,3},{4},{2,6}]=>[5,1,3,4,2,6]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{1,3},{4},{2,5}]=>[6,1,3,4,2,5]=>[1,6,5,2,3,4]=>[1,5,2,3,6,4]
[{5},{1,3},{6},{2,4}]=>[5,1,3,6,2,4]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{1,3},{5},{2,4}]=>[6,1,3,5,2,4]=>[1,6,4,5,2,3]=>[1,5,2,6,4,3]
[{4},{1,5},{3},{2,6}]=>[4,1,5,3,2,6]=>[1,4,3,5,2,6]=>[1,5,4,3,2,6]
[{4},{1,6},{3},{2,5}]=>[4,1,6,3,2,5]=>[1,4,3,6,5,2]=>[1,5,4,3,6,2]
[{5},{1,4},{3},{2,6}]=>[5,1,4,3,2,6]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{1,4},{3},{2,5}]=>[6,1,4,3,2,5]=>[1,6,5,2,3,4]=>[1,5,2,3,6,4]
[{5},{1,6},{3},{2,4}]=>[5,1,6,3,2,4]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]
[{6},{1,5},{3},{2,4}]=>[6,1,5,3,2,4]=>[1,6,4,3,5,2]=>[1,5,4,6,3,2]
[{4},{1,5},{6},{2,3}]=>[4,1,5,6,2,3]=>[1,4,6,3,5,2]=>[1,5,6,4,3,2]
[{4},{1,6},{5},{2,3}]=>[4,1,6,5,2,3]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]
[{5},{1,4},{6},{2,3}]=>[5,1,4,6,2,3]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{1,4},{5},{2,3}]=>[6,1,4,5,2,3]=>[1,6,3,4,5,2]=>[1,5,6,3,4,2]
[{5},{1,6},{4},{2,3}]=>[5,1,6,4,2,3]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]
[{6},{1,5},{4},{2,3}]=>[6,1,5,4,2,3]=>[1,6,3,5,2,4]=>[1,5,6,2,3,4]
[{2},{3,4},{1},{5,6}]=>[2,3,4,1,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{3,5},{1},{4,6}]=>[2,3,5,1,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{2},{3,6},{1},{4,5}]=>[2,3,6,1,4,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{2},{4,5},{1},{3,6}]=>[2,4,5,1,3,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2},{4,6},{1},{3,5}]=>[2,4,6,1,3,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{2},{5,6},{1},{3,4}]=>[2,5,6,1,3,4]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[{3},{2,4},{1},{5,6}]=>[3,2,4,1,5,6]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]
[{3},{2,5},{1},{4,6}]=>[3,2,5,1,4,6]=>[1,3,5,4,2,6]=>[1,4,3,5,2,6]
[{3},{2,6},{1},{4,5}]=>[3,2,6,1,4,5]=>[1,3,6,5,4,2]=>[1,4,3,5,6,2]
[{4},{2,3},{1},{5,6}]=>[4,2,3,1,5,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{5},{2,3},{1},{4,6}]=>[5,2,3,1,4,6]=>[1,5,4,2,3,6]=>[1,4,2,5,3,6]
[{6},{2,3},{1},{4,5}]=>[6,2,3,1,4,5]=>[1,6,5,4,2,3]=>[1,4,2,5,6,3]
[{4},{2,5},{1},{3,6}]=>[4,2,5,1,3,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{4},{2,6},{1},{3,5}]=>[4,2,6,1,3,5]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]
[{5},{2,4},{1},{3,6}]=>[5,2,4,1,3,6]=>[1,5,3,4,2,6]=>[1,4,5,3,2,6]
[{6},{2,4},{1},{3,5}]=>[6,2,4,1,3,5]=>[1,6,5,3,4,2]=>[1,4,5,3,6,2]
[{5},{2,6},{1},{3,4}]=>[5,2,6,1,3,4]=>[1,5,3,6,4,2]=>[1,4,6,5,2,3]
[{6},{2,5},{1},{3,4}]=>[6,2,5,1,3,4]=>[1,6,4,2,3,5]=>[1,4,2,6,3,5]
[{3},{4,5},{1},{2,6}]=>[3,4,5,1,2,6]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[{3},{4,6},{1},{2,5}]=>[3,4,6,1,2,5]=>[1,3,6,5,2,4]=>[1,5,3,2,6,4]
[{3},{5,6},{1},{2,4}]=>[3,5,6,1,2,4]=>[1,3,6,4,2,5]=>[1,4,3,6,2,5]
[{4},{3,5},{1},{2,6}]=>[4,3,5,1,2,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{4},{3,6},{1},{2,5}]=>[4,3,6,1,2,5]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]
[{5},{3,4},{1},{2,6}]=>[5,3,4,1,2,6]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{3,4},{1},{2,5}]=>[6,3,4,1,2,5]=>[1,6,5,2,3,4]=>[1,5,2,3,6,4]
[{5},{3,6},{1},{2,4}]=>[5,3,6,1,2,4]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]
[{6},{3,5},{1},{2,4}]=>[6,3,5,1,2,4]=>[1,6,4,2,3,5]=>[1,4,2,6,3,5]
[{4},{5,6},{1},{2,3}]=>[4,5,6,1,2,3]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{5},{4,6},{1},{2,3}]=>[5,4,6,1,2,3]=>[1,5,2,4,3,6]=>[1,5,4,2,3,6]
[{6},{4,5},{1},{2,3}]=>[6,4,5,1,2,3]=>[1,6,3,5,2,4]=>[1,5,6,2,3,4]
[{2},{3,4},{5},{1,6}]=>[2,3,4,5,1,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{3,4},{6},{1,5}]=>[2,3,4,6,1,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{2},{3,5},{4},{1,6}]=>[2,3,5,4,1,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{2},{3,6},{4},{1,5}]=>[2,3,6,4,1,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{2},{3,5},{6},{1,4}]=>[2,3,5,6,1,4]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{2},{3,6},{5},{1,4}]=>[2,3,6,5,1,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{2},{4,5},{3},{1,6}]=>[2,4,5,3,1,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2},{4,6},{3},{1,5}]=>[2,4,6,3,1,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{2},{5,6},{3},{1,4}]=>[2,5,6,3,1,4]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[{2},{4,5},{6},{1,3}]=>[2,4,5,6,1,3]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]
[{2},{4,6},{5},{1,3}]=>[2,4,6,5,1,3]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]
[{2},{5,6},{4},{1,3}]=>[2,5,6,4,1,3]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[{3},{2,4},{5},{1,6}]=>[3,2,4,5,1,6]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]
[{3},{2,4},{6},{1,5}]=>[3,2,4,6,1,5]=>[1,3,4,6,5,2]=>[1,5,3,4,6,2]
[{3},{2,5},{4},{1,6}]=>[3,2,5,4,1,6]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[{3},{2,6},{4},{1,5}]=>[3,2,6,4,1,5]=>[1,3,6,5,2,4]=>[1,5,3,2,6,4]
[{3},{2,5},{6},{1,4}]=>[3,2,5,6,1,4]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[{3},{2,6},{5},{1,4}]=>[3,2,6,5,1,4]=>[1,3,6,4,5,2]=>[1,5,3,6,4,2]
[{4},{2,3},{5},{1,6}]=>[4,2,3,5,1,6]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]
[{4},{2,3},{6},{1,5}]=>[4,2,3,6,1,5]=>[1,4,6,5,2,3]=>[1,5,2,4,6,3]
[{5},{2,3},{4},{1,6}]=>[5,2,3,4,1,6]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{2,3},{4},{1,5}]=>[6,2,3,4,1,5]=>[1,6,5,2,3,4]=>[1,5,2,3,6,4]
[{5},{2,3},{6},{1,4}]=>[5,2,3,6,1,4]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{2,3},{5},{1,4}]=>[6,2,3,5,1,4]=>[1,6,4,5,2,3]=>[1,5,2,6,4,3]
[{4},{2,5},{3},{1,6}]=>[4,2,5,3,1,6]=>[1,4,3,5,2,6]=>[1,5,4,3,2,6]
[{4},{2,6},{3},{1,5}]=>[4,2,6,3,1,5]=>[1,4,3,6,5,2]=>[1,5,4,3,6,2]
[{5},{2,4},{3},{1,6}]=>[5,2,4,3,1,6]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{2,4},{3},{1,5}]=>[6,2,4,3,1,5]=>[1,6,5,2,3,4]=>[1,5,2,3,6,4]
[{5},{2,6},{3},{1,4}]=>[5,2,6,3,1,4]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]
[{6},{2,5},{3},{1,4}]=>[6,2,5,3,1,4]=>[1,6,4,3,5,2]=>[1,5,4,6,3,2]
[{4},{2,5},{6},{1,3}]=>[4,2,5,6,1,3]=>[1,4,6,3,5,2]=>[1,5,6,4,3,2]
[{4},{2,6},{5},{1,3}]=>[4,2,6,5,1,3]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]
[{5},{2,4},{6},{1,3}]=>[5,2,4,6,1,3]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{2,4},{5},{1,3}]=>[6,2,4,5,1,3]=>[1,6,3,4,5,2]=>[1,5,6,3,4,2]
[{5},{2,6},{4},{1,3}]=>[5,2,6,4,1,3]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]
[{6},{2,5},{4},{1,3}]=>[6,2,5,4,1,3]=>[1,6,3,5,2,4]=>[1,5,6,2,3,4]
[{3},{4,5},{2},{1,6}]=>[3,4,5,2,1,6]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[{3},{4,6},{2},{1,5}]=>[3,4,6,2,1,5]=>[1,3,6,5,2,4]=>[1,5,3,2,6,4]
[{3},{5,6},{2},{1,4}]=>[3,5,6,2,1,4]=>[1,3,6,4,2,5]=>[1,4,3,6,2,5]
[{4},{3,5},{2},{1,6}]=>[4,3,5,2,1,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{4},{3,6},{2},{1,5}]=>[4,3,6,2,1,5]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]
[{5},{3,4},{2},{1,6}]=>[5,3,4,2,1,6]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{3,4},{2},{1,5}]=>[6,3,4,2,1,5]=>[1,6,5,2,3,4]=>[1,5,2,3,6,4]
[{5},{3,6},{2},{1,4}]=>[5,3,6,2,1,4]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]
[{6},{3,5},{2},{1,4}]=>[6,3,5,2,1,4]=>[1,6,4,2,3,5]=>[1,4,2,6,3,5]
[{4},{5,6},{2},{1,3}]=>[4,5,6,2,1,3]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{5},{4,6},{2},{1,3}]=>[5,4,6,2,1,3]=>[1,5,2,4,3,6]=>[1,5,4,2,3,6]
[{6},{4,5},{2},{1,3}]=>[6,4,5,2,1,3]=>[1,6,3,5,2,4]=>[1,5,6,2,3,4]
[{3},{4,5},{6},{1,2}]=>[3,4,5,6,1,2]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[{3},{4,6},{5},{1,2}]=>[3,4,6,5,1,2]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]
[{3},{5,6},{4},{1,2}]=>[3,5,6,4,1,2]=>[1,3,6,2,5,4]=>[1,6,3,5,2,4]
[{4},{3,5},{6},{1,2}]=>[4,3,5,6,1,2]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]
[{4},{3,6},{5},{1,2}]=>[4,3,6,5,1,2]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]
[{5},{3,4},{6},{1,2}]=>[5,3,4,6,1,2]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{3,4},{5},{1,2}]=>[6,3,4,5,1,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[{5},{3,6},{4},{1,2}]=>[5,3,6,4,1,2]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]
[{6},{3,5},{4},{1,2}]=>[6,3,5,4,1,2]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]
[{4},{5,6},{3},{1,2}]=>[4,5,6,3,1,2]=>[1,4,3,6,2,5]=>[1,6,4,3,2,5]
[{5},{4,6},{3},{1,2}]=>[5,4,6,3,1,2]=>[1,5,2,4,3,6]=>[1,5,4,2,3,6]
[{6},{4,5},{3},{1,2}]=>[6,4,5,3,1,2]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]
[{1},{2,3},{4,5},{6}]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{2,3},{4,6},{5}]=>[1,2,3,4,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{2,3},{5,6},{4}]=>[1,2,3,5,6,4]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{2,4},{3,5},{6}]=>[1,2,4,3,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{2,4},{3,6},{5}]=>[1,2,4,3,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{2,5},{3,4},{6}]=>[1,2,5,3,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1},{2,6},{3,4},{5}]=>[1,2,6,3,4,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{1},{2,5},{3,6},{4}]=>[1,2,5,3,6,4]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]
[{1},{2,6},{3,5},{4}]=>[1,2,6,3,5,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{1},{2,4},{5,6},{3}]=>[1,2,4,5,6,3]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{2,5},{4,6},{3}]=>[1,2,5,4,6,3]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]
[{1},{2,6},{4,5},{3}]=>[1,2,6,4,5,3]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{1},{3,4},{2,5},{6}]=>[1,3,4,2,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{3,4},{2,6},{5}]=>[1,3,4,2,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{3,5},{2,4},{6}]=>[1,3,5,2,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1},{3,6},{2,4},{5}]=>[1,3,6,2,4,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{1},{3,5},{2,6},{4}]=>[1,3,5,2,6,4]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]
[{1},{3,6},{2,5},{4}]=>[1,3,6,2,5,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{1},{4,5},{2,3},{6}]=>[1,4,5,2,3,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1},{4,6},{2,3},{5}]=>[1,4,6,2,3,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{1},{5,6},{2,3},{4}]=>[1,5,6,2,3,4]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[{1},{4,5},{2,6},{3}]=>[1,4,5,2,6,3]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1},{4,6},{2,5},{3}]=>[1,4,6,2,5,3]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{1},{5,6},{2,4},{3}]=>[1,5,6,2,4,3]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{1},{3,4},{5,6},{2}]=>[1,3,4,5,6,2]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{3,5},{4,6},{2}]=>[1,3,5,4,6,2]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]
[{1},{3,6},{4,5},{2}]=>[1,3,6,4,5,2]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{1},{4,5},{3,6},{2}]=>[1,4,5,3,6,2]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1},{4,6},{3,5},{2}]=>[1,4,6,3,5,2]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{1},{5,6},{3,4},{2}]=>[1,5,6,3,4,2]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{2},{1,3},{4,5},{6}]=>[2,1,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{1,3},{4,6},{5}]=>[2,1,3,4,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{1,3},{5,6},{4}]=>[2,1,3,5,6,4]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{1,4},{3,5},{6}]=>[2,1,4,3,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{1,4},{3,6},{5}]=>[2,1,4,3,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{1,5},{3,4},{6}]=>[2,1,5,3,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{2},{1,6},{3,4},{5}]=>[2,1,6,3,4,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{2},{1,5},{3,6},{4}]=>[2,1,5,3,6,4]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]
[{2},{1,6},{3,5},{4}]=>[2,1,6,3,5,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{2},{1,4},{5,6},{3}]=>[2,1,4,5,6,3]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{1,5},{4,6},{3}]=>[2,1,5,4,6,3]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]
[{2},{1,6},{4,5},{3}]=>[2,1,6,4,5,3]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{3},{1,2},{4,5},{6}]=>[3,1,2,4,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{1,2},{4,6},{5}]=>[3,1,2,4,6,5]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{1,2},{5,6},{4}]=>[3,1,2,5,6,4]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{4},{1,2},{3,5},{6}]=>[4,1,2,3,5,6]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]
[{4},{1,2},{3,6},{5}]=>[4,1,2,3,6,5]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]
[{5},{1,2},{3,4},{6}]=>[5,1,2,3,4,6]=>[1,5,4,3,2,6]=>[1,3,4,5,2,6]
[{6},{1,2},{3,4},{5}]=>[6,1,2,3,4,5]=>[1,6,5,4,3,2]=>[1,3,4,5,6,2]
[{5},{1,2},{3,6},{4}]=>[5,1,2,3,6,4]=>[1,5,6,4,3,2]=>[1,3,4,6,5,2]
[{6},{1,2},{3,5},{4}]=>[6,1,2,3,5,4]=>[1,6,4,3,2,5]=>[1,3,4,6,2,5]
[{4},{1,2},{5,6},{3}]=>[4,1,2,5,6,3]=>[1,4,5,6,3,2]=>[1,3,6,4,5,2]
[{5},{1,2},{4,6},{3}]=>[5,1,2,4,6,3]=>[1,5,6,3,2,4]=>[1,3,6,2,5,4]
[{6},{1,2},{4,5},{3}]=>[6,1,2,4,5,3]=>[1,6,3,2,4,5]=>[1,3,6,2,4,5]
[{3},{1,4},{2,5},{6}]=>[3,1,4,2,5,6]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]
[{3},{1,4},{2,6},{5}]=>[3,1,4,2,6,5]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]
[{3},{1,5},{2,4},{6}]=>[3,1,5,2,4,6]=>[1,3,5,4,2,6]=>[1,4,3,5,2,6]
[{3},{1,6},{2,4},{5}]=>[3,1,6,2,4,5]=>[1,3,6,5,4,2]=>[1,4,3,5,6,2]
[{3},{1,5},{2,6},{4}]=>[3,1,5,2,6,4]=>[1,3,5,6,4,2]=>[1,4,3,6,5,2]
[{3},{1,6},{2,5},{4}]=>[3,1,6,2,5,4]=>[1,3,6,4,2,5]=>[1,4,3,6,2,5]
[{4},{1,3},{2,5},{6}]=>[4,1,3,2,5,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{4},{1,3},{2,6},{5}]=>[4,1,3,2,6,5]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{5},{1,3},{2,4},{6}]=>[5,1,3,2,4,6]=>[1,5,4,2,3,6]=>[1,4,2,5,3,6]
[{6},{1,3},{2,4},{5}]=>[6,1,3,2,4,5]=>[1,6,5,4,2,3]=>[1,4,2,5,6,3]
[{5},{1,3},{2,6},{4}]=>[5,1,3,2,6,4]=>[1,5,6,4,2,3]=>[1,4,2,6,5,3]
[{6},{1,3},{2,5},{4}]=>[6,1,3,2,5,4]=>[1,6,4,2,3,5]=>[1,4,2,6,3,5]
[{4},{1,5},{2,3},{6}]=>[4,1,5,2,3,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{4},{1,6},{2,3},{5}]=>[4,1,6,2,3,5]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]
[{5},{1,4},{2,3},{6}]=>[5,1,4,2,3,6]=>[1,5,3,4,2,6]=>[1,4,5,3,2,6]
[{6},{1,4},{2,3},{5}]=>[6,1,4,2,3,5]=>[1,6,5,3,4,2]=>[1,4,5,3,6,2]
[{5},{1,6},{2,3},{4}]=>[5,1,6,2,3,4]=>[1,5,3,6,4,2]=>[1,4,6,5,2,3]
[{6},{1,5},{2,3},{4}]=>[6,1,5,2,3,4]=>[1,6,4,2,3,5]=>[1,4,2,6,3,5]
[{4},{1,5},{2,6},{3}]=>[4,1,5,2,6,3]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{4},{1,6},{2,5},{3}]=>[4,1,6,2,5,3]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]
[{5},{1,4},{2,6},{3}]=>[5,1,4,2,6,3]=>[1,5,6,3,4,2]=>[1,4,6,3,5,2]
[{6},{1,4},{2,5},{3}]=>[6,1,4,2,5,3]=>[1,6,3,4,2,5]=>[1,4,6,3,2,5]
[{5},{1,6},{2,4},{3}]=>[5,1,6,2,4,3]=>[1,5,4,2,3,6]=>[1,4,2,5,3,6]
[{6},{1,5},{2,4},{3}]=>[6,1,5,2,4,3]=>[1,6,3,5,4,2]=>[1,4,5,6,2,3]
[{3},{1,4},{5,6},{2}]=>[3,1,4,5,6,2]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2]
[{3},{1,5},{4,6},{2}]=>[3,1,5,4,6,2]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]
[{3},{1,6},{4,5},{2}]=>[3,1,6,4,5,2]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]
[{4},{1,3},{5,6},{2}]=>[4,1,3,5,6,2]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]
[{5},{1,3},{4,6},{2}]=>[5,1,3,4,6,2]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]
[{6},{1,3},{4,5},{2}]=>[6,1,3,4,5,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[{4},{1,5},{3,6},{2}]=>[4,1,5,3,6,2]=>[1,4,3,5,6,2]=>[1,6,4,3,5,2]
[{4},{1,6},{3,5},{2}]=>[4,1,6,3,5,2]=>[1,4,3,6,2,5]=>[1,6,4,3,2,5]
[{5},{1,4},{3,6},{2}]=>[5,1,4,3,6,2]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]
[{6},{1,4},{3,5},{2}]=>[6,1,4,3,5,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[{5},{1,6},{3,4},{2}]=>[5,1,6,3,4,2]=>[1,5,4,3,6,2]=>[1,6,4,5,3,2]
[{6},{1,5},{3,4},{2}]=>[6,1,5,3,4,2]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]
[{2},{3,4},{1,5},{6}]=>[2,3,4,1,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{3,4},{1,6},{5}]=>[2,3,4,1,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{3,5},{1,4},{6}]=>[2,3,5,1,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{2},{3,6},{1,4},{5}]=>[2,3,6,1,4,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{2},{3,5},{1,6},{4}]=>[2,3,5,1,6,4]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]
[{2},{3,6},{1,5},{4}]=>[2,3,6,1,5,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{2},{4,5},{1,3},{6}]=>[2,4,5,1,3,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2},{4,6},{1,3},{5}]=>[2,4,6,1,3,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{2},{5,6},{1,3},{4}]=>[2,5,6,1,3,4]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[{2},{4,5},{1,6},{3}]=>[2,4,5,1,6,3]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2},{4,6},{1,5},{3}]=>[2,4,6,1,5,3]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{2},{5,6},{1,4},{3}]=>[2,5,6,1,4,3]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{3},{2,4},{1,5},{6}]=>[3,2,4,1,5,6]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]
[{3},{2,4},{1,6},{5}]=>[3,2,4,1,6,5]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]
[{3},{2,5},{1,4},{6}]=>[3,2,5,1,4,6]=>[1,3,5,4,2,6]=>[1,4,3,5,2,6]
[{3},{2,6},{1,4},{5}]=>[3,2,6,1,4,5]=>[1,3,6,5,4,2]=>[1,4,3,5,6,2]
[{3},{2,5},{1,6},{4}]=>[3,2,5,1,6,4]=>[1,3,5,6,4,2]=>[1,4,3,6,5,2]
[{3},{2,6},{1,5},{4}]=>[3,2,6,1,5,4]=>[1,3,6,4,2,5]=>[1,4,3,6,2,5]
[{4},{2,3},{1,5},{6}]=>[4,2,3,1,5,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{4},{2,3},{1,6},{5}]=>[4,2,3,1,6,5]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{5},{2,3},{1,4},{6}]=>[5,2,3,1,4,6]=>[1,5,4,2,3,6]=>[1,4,2,5,3,6]
[{6},{2,3},{1,4},{5}]=>[6,2,3,1,4,5]=>[1,6,5,4,2,3]=>[1,4,2,5,6,3]
[{5},{2,3},{1,6},{4}]=>[5,2,3,1,6,4]=>[1,5,6,4,2,3]=>[1,4,2,6,5,3]
[{6},{2,3},{1,5},{4}]=>[6,2,3,1,5,4]=>[1,6,4,2,3,5]=>[1,4,2,6,3,5]
[{4},{2,5},{1,3},{6}]=>[4,2,5,1,3,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{4},{2,6},{1,3},{5}]=>[4,2,6,1,3,5]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]
[{5},{2,4},{1,3},{6}]=>[5,2,4,1,3,6]=>[1,5,3,4,2,6]=>[1,4,5,3,2,6]
[{6},{2,4},{1,3},{5}]=>[6,2,4,1,3,5]=>[1,6,5,3,4,2]=>[1,4,5,3,6,2]
[{5},{2,6},{1,3},{4}]=>[5,2,6,1,3,4]=>[1,5,3,6,4,2]=>[1,4,6,5,2,3]
[{6},{2,5},{1,3},{4}]=>[6,2,5,1,3,4]=>[1,6,4,2,3,5]=>[1,4,2,6,3,5]
[{4},{2,5},{1,6},{3}]=>[4,2,5,1,6,3]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{4},{2,6},{1,5},{3}]=>[4,2,6,1,5,3]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]
[{5},{2,4},{1,6},{3}]=>[5,2,4,1,6,3]=>[1,5,6,3,4,2]=>[1,4,6,3,5,2]
[{6},{2,4},{1,5},{3}]=>[6,2,4,1,5,3]=>[1,6,3,4,2,5]=>[1,4,6,3,2,5]
[{5},{2,6},{1,4},{3}]=>[5,2,6,1,4,3]=>[1,5,4,2,3,6]=>[1,4,2,5,3,6]
[{6},{2,5},{1,4},{3}]=>[6,2,5,1,4,3]=>[1,6,3,5,4,2]=>[1,4,5,6,2,3]
[{3},{4,5},{1,2},{6}]=>[3,4,5,1,2,6]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[{3},{4,6},{1,2},{5}]=>[3,4,6,1,2,5]=>[1,3,6,5,2,4]=>[1,5,3,2,6,4]
[{3},{5,6},{1,2},{4}]=>[3,5,6,1,2,4]=>[1,3,6,4,2,5]=>[1,4,3,6,2,5]
[{4},{3,5},{1,2},{6}]=>[4,3,5,1,2,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{4},{3,6},{1,2},{5}]=>[4,3,6,1,2,5]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]
[{5},{3,4},{1,2},{6}]=>[5,3,4,1,2,6]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{3,4},{1,2},{5}]=>[6,3,4,1,2,5]=>[1,6,5,2,3,4]=>[1,5,2,3,6,4]
[{5},{3,6},{1,2},{4}]=>[5,3,6,1,2,4]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]
[{6},{3,5},{1,2},{4}]=>[6,3,5,1,2,4]=>[1,6,4,2,3,5]=>[1,4,2,6,3,5]
[{4},{5,6},{1,2},{3}]=>[4,5,6,1,2,3]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{5},{4,6},{1,2},{3}]=>[5,4,6,1,2,3]=>[1,5,2,4,3,6]=>[1,5,4,2,3,6]
[{6},{4,5},{1,2},{3}]=>[6,4,5,1,2,3]=>[1,6,3,5,2,4]=>[1,5,6,2,3,4]
[{3},{4,5},{1,6},{2}]=>[3,4,5,1,6,2]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]
[{3},{4,6},{1,5},{2}]=>[3,4,6,1,5,2]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]
[{3},{5,6},{1,4},{2}]=>[3,5,6,1,4,2]=>[1,3,6,2,5,4]=>[1,6,3,5,2,4]
[{4},{3,5},{1,6},{2}]=>[4,3,5,1,6,2]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{4},{3,6},{1,5},{2}]=>[4,3,6,1,5,2]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]
[{5},{3,4},{1,6},{2}]=>[5,3,4,1,6,2]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]
[{6},{3,4},{1,5},{2}]=>[6,3,4,1,5,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[{5},{3,6},{1,4},{2}]=>[5,3,6,1,4,2]=>[1,5,4,2,3,6]=>[1,4,2,5,3,6]
[{6},{3,5},{1,4},{2}]=>[6,3,5,1,4,2]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]
[{4},{5,6},{1,3},{2}]=>[4,5,6,1,3,2]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{5},{4,6},{1,3},{2}]=>[5,4,6,1,3,2]=>[1,5,3,6,2,4]=>[1,6,5,2,3,4]
[{6},{4,5},{1,3},{2}]=>[6,4,5,1,3,2]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]
[{2},{3,4},{5,6},{1}]=>[2,3,4,5,6,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{3,5},{4,6},{1}]=>[2,3,5,4,6,1]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]
[{2},{3,6},{4,5},{1}]=>[2,3,6,4,5,1]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{2},{4,5},{3,6},{1}]=>[2,4,5,3,6,1]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2},{4,6},{3,5},{1}]=>[2,4,6,3,5,1]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{2},{5,6},{3,4},{1}]=>[2,5,6,3,4,1]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{3},{2,4},{5,6},{1}]=>[3,2,4,5,6,1]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2]
[{3},{2,5},{4,6},{1}]=>[3,2,5,4,6,1]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]
[{3},{2,6},{4,5},{1}]=>[3,2,6,4,5,1]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]
[{4},{2,3},{5,6},{1}]=>[4,2,3,5,6,1]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]
[{5},{2,3},{4,6},{1}]=>[5,2,3,4,6,1]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]
[{6},{2,3},{4,5},{1}]=>[6,2,3,4,5,1]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[{4},{2,5},{3,6},{1}]=>[4,2,5,3,6,1]=>[1,4,3,5,6,2]=>[1,6,4,3,5,2]
[{4},{2,6},{3,5},{1}]=>[4,2,6,3,5,1]=>[1,4,3,6,2,5]=>[1,6,4,3,2,5]
[{5},{2,4},{3,6},{1}]=>[5,2,4,3,6,1]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]
[{6},{2,4},{3,5},{1}]=>[6,2,4,3,5,1]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[{5},{2,6},{3,4},{1}]=>[5,2,6,3,4,1]=>[1,5,4,3,6,2]=>[1,6,4,5,3,2]
[{6},{2,5},{3,4},{1}]=>[6,2,5,3,4,1]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]
[{3},{4,5},{2,6},{1}]=>[3,4,5,2,6,1]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]
[{3},{4,6},{2,5},{1}]=>[3,4,6,2,5,1]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]
[{3},{5,6},{2,4},{1}]=>[3,5,6,2,4,1]=>[1,3,6,2,5,4]=>[1,6,3,5,2,4]
[{4},{3,5},{2,6},{1}]=>[4,3,5,2,6,1]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{4},{3,6},{2,5},{1}]=>[4,3,6,2,5,1]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]
[{5},{3,4},{2,6},{1}]=>[5,3,4,2,6,1]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]
[{6},{3,4},{2,5},{1}]=>[6,3,4,2,5,1]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[{5},{3,6},{2,4},{1}]=>[5,3,6,2,4,1]=>[1,5,4,2,3,6]=>[1,4,2,5,3,6]
[{6},{3,5},{2,4},{1}]=>[6,3,5,2,4,1]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]
[{4},{5,6},{2,3},{1}]=>[4,5,6,2,3,1]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{5},{4,6},{2,3},{1}]=>[5,4,6,2,3,1]=>[1,5,3,6,2,4]=>[1,6,5,2,3,4]
[{6},{4,5},{2,3},{1}]=>[6,4,5,2,3,1]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]
[{1},{2,3},{4,5,6}]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{2,4},{3,5,6}]=>[1,2,4,3,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{2,5},{3,4,6}]=>[1,2,5,3,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1},{2,6},{3,4,5}]=>[1,2,6,3,4,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{1},{3,4},{2,5,6}]=>[1,3,4,2,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{3,5},{2,4,6}]=>[1,3,5,2,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1},{3,6},{2,4,5}]=>[1,3,6,2,4,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{1},{4,5},{2,3,6}]=>[1,4,5,2,3,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1},{4,6},{2,3,5}]=>[1,4,6,2,3,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{1},{5,6},{2,3,4}]=>[1,5,6,2,3,4]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[{2},{1,3},{4,5,6}]=>[2,1,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{1,4},{3,5,6}]=>[2,1,4,3,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{1,5},{3,4,6}]=>[2,1,5,3,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{2},{1,6},{3,4,5}]=>[2,1,6,3,4,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{3},{1,2},{4,5,6}]=>[3,1,2,4,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{4},{1,2},{3,5,6}]=>[4,1,2,3,5,6]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]
[{5},{1,2},{3,4,6}]=>[5,1,2,3,4,6]=>[1,5,4,3,2,6]=>[1,3,4,5,2,6]
[{6},{1,2},{3,4,5}]=>[6,1,2,3,4,5]=>[1,6,5,4,3,2]=>[1,3,4,5,6,2]
[{3},{1,4},{2,5,6}]=>[3,1,4,2,5,6]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]
[{3},{1,5},{2,4,6}]=>[3,1,5,2,4,6]=>[1,3,5,4,2,6]=>[1,4,3,5,2,6]
[{3},{1,6},{2,4,5}]=>[3,1,6,2,4,5]=>[1,3,6,5,4,2]=>[1,4,3,5,6,2]
[{4},{1,3},{2,5,6}]=>[4,1,3,2,5,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{5},{1,3},{2,4,6}]=>[5,1,3,2,4,6]=>[1,5,4,2,3,6]=>[1,4,2,5,3,6]
[{6},{1,3},{2,4,5}]=>[6,1,3,2,4,5]=>[1,6,5,4,2,3]=>[1,4,2,5,6,3]
[{4},{1,5},{2,3,6}]=>[4,1,5,2,3,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{4},{1,6},{2,3,5}]=>[4,1,6,2,3,5]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]
[{5},{1,4},{2,3,6}]=>[5,1,4,2,3,6]=>[1,5,3,4,2,6]=>[1,4,5,3,2,6]
[{6},{1,4},{2,3,5}]=>[6,1,4,2,3,5]=>[1,6,5,3,4,2]=>[1,4,5,3,6,2]
[{5},{1,6},{2,3,4}]=>[5,1,6,2,3,4]=>[1,5,3,6,4,2]=>[1,4,6,5,2,3]
[{6},{1,5},{2,3,4}]=>[6,1,5,2,3,4]=>[1,6,4,2,3,5]=>[1,4,2,6,3,5]
[{2},{3,4},{1,5,6}]=>[2,3,4,1,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{3,5},{1,4,6}]=>[2,3,5,1,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{2},{3,6},{1,4,5}]=>[2,3,6,1,4,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{2},{4,5},{1,3,6}]=>[2,4,5,1,3,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2},{4,6},{1,3,5}]=>[2,4,6,1,3,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{2},{5,6},{1,3,4}]=>[2,5,6,1,3,4]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[{3},{2,4},{1,5,6}]=>[3,2,4,1,5,6]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]
[{3},{2,5},{1,4,6}]=>[3,2,5,1,4,6]=>[1,3,5,4,2,6]=>[1,4,3,5,2,6]
[{3},{2,6},{1,4,5}]=>[3,2,6,1,4,5]=>[1,3,6,5,4,2]=>[1,4,3,5,6,2]
[{4},{2,3},{1,5,6}]=>[4,2,3,1,5,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{5},{2,3},{1,4,6}]=>[5,2,3,1,4,6]=>[1,5,4,2,3,6]=>[1,4,2,5,3,6]
[{6},{2,3},{1,4,5}]=>[6,2,3,1,4,5]=>[1,6,5,4,2,3]=>[1,4,2,5,6,3]
[{4},{2,5},{1,3,6}]=>[4,2,5,1,3,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{4},{2,6},{1,3,5}]=>[4,2,6,1,3,5]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]
[{5},{2,4},{1,3,6}]=>[5,2,4,1,3,6]=>[1,5,3,4,2,6]=>[1,4,5,3,2,6]
[{6},{2,4},{1,3,5}]=>[6,2,4,1,3,5]=>[1,6,5,3,4,2]=>[1,4,5,3,6,2]
[{5},{2,6},{1,3,4}]=>[5,2,6,1,3,4]=>[1,5,3,6,4,2]=>[1,4,6,5,2,3]
[{6},{2,5},{1,3,4}]=>[6,2,5,1,3,4]=>[1,6,4,2,3,5]=>[1,4,2,6,3,5]
[{3},{4,5},{1,2,6}]=>[3,4,5,1,2,6]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[{3},{4,6},{1,2,5}]=>[3,4,6,1,2,5]=>[1,3,6,5,2,4]=>[1,5,3,2,6,4]
[{3},{5,6},{1,2,4}]=>[3,5,6,1,2,4]=>[1,3,6,4,2,5]=>[1,4,3,6,2,5]
[{4},{3,5},{1,2,6}]=>[4,3,5,1,2,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[{4},{3,6},{1,2,5}]=>[4,3,6,1,2,5]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]
[{5},{3,4},{1,2,6}]=>[5,3,4,1,2,6]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{3,4},{1,2,5}]=>[6,3,4,1,2,5]=>[1,6,5,2,3,4]=>[1,5,2,3,6,4]
[{5},{3,6},{1,2,4}]=>[5,3,6,1,2,4]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]
[{6},{3,5},{1,2,4}]=>[6,3,5,1,2,4]=>[1,6,4,2,3,5]=>[1,4,2,6,3,5]
[{4},{5,6},{1,2,3}]=>[4,5,6,1,2,3]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{5},{4,6},{1,2,3}]=>[5,4,6,1,2,3]=>[1,5,2,4,3,6]=>[1,5,4,2,3,6]
[{6},{4,5},{1,2,3}]=>[6,4,5,1,2,3]=>[1,6,3,5,2,4]=>[1,5,6,2,3,4]
[{1},{2,3,4},{5},{6}]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{2,3,4},{6},{5}]=>[1,2,3,4,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{2,3,5},{4},{6}]=>[1,2,3,5,4,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{2,3,6},{4},{5}]=>[1,2,3,6,4,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1},{2,3,5},{6},{4}]=>[1,2,3,5,6,4]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{2,3,6},{5},{4}]=>[1,2,3,6,5,4]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1},{2,4,5},{3},{6}]=>[1,2,4,5,3,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{2,4,6},{3},{5}]=>[1,2,4,6,3,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1},{2,5,6},{3},{4}]=>[1,2,5,6,3,4]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1},{2,4,5},{6},{3}]=>[1,2,4,5,6,3]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{2,4,6},{5},{3}]=>[1,2,4,6,5,3]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1},{2,5,6},{4},{3}]=>[1,2,5,6,4,3]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1},{3,4,5},{2},{6}]=>[1,3,4,5,2,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{3,4,6},{2},{5}]=>[1,3,4,6,2,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1},{3,5,6},{2},{4}]=>[1,3,5,6,2,4]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1},{4,5,6},{2},{3}]=>[1,4,5,6,2,3]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]
[{1},{3,4,5},{6},{2}]=>[1,3,4,5,6,2]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{3,4,6},{5},{2}]=>[1,3,4,6,5,2]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1},{3,5,6},{4},{2}]=>[1,3,5,6,4,2]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1},{4,5,6},{3},{2}]=>[1,4,5,6,3,2]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]
[{2},{1,3,4},{5},{6}]=>[2,1,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{1,3,4},{6},{5}]=>[2,1,3,4,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{1,3,5},{4},{6}]=>[2,1,3,5,4,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{1,3,6},{4},{5}]=>[2,1,3,6,4,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{2},{1,3,5},{6},{4}]=>[2,1,3,5,6,4]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{1,3,6},{5},{4}]=>[2,1,3,6,5,4]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{2},{1,4,5},{3},{6}]=>[2,1,4,5,3,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{1,4,6},{3},{5}]=>[2,1,4,6,3,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{2},{1,5,6},{3},{4}]=>[2,1,5,6,3,4]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{2},{1,4,5},{6},{3}]=>[2,1,4,5,6,3]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{1,4,6},{5},{3}]=>[2,1,4,6,5,3]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{2},{1,5,6},{4},{3}]=>[2,1,5,6,4,3]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{3},{1,2,4},{5},{6}]=>[3,1,2,4,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{1,2,4},{6},{5}]=>[3,1,2,4,6,5]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{1,2,5},{4},{6}]=>[3,1,2,5,4,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{1,2,6},{4},{5}]=>[3,1,2,6,4,5]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]
[{3},{1,2,5},{6},{4}]=>[3,1,2,5,6,4]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{1,2,6},{5},{4}]=>[3,1,2,6,5,4]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]
[{4},{1,2,3},{5},{6}]=>[4,1,2,3,5,6]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]
[{4},{1,2,3},{6},{5}]=>[4,1,2,3,6,5]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]
[{5},{1,2,3},{4},{6}]=>[5,1,2,3,4,6]=>[1,5,4,3,2,6]=>[1,3,4,5,2,6]
[{6},{1,2,3},{4},{5}]=>[6,1,2,3,4,5]=>[1,6,5,4,3,2]=>[1,3,4,5,6,2]
[{5},{1,2,3},{6},{4}]=>[5,1,2,3,6,4]=>[1,5,6,4,3,2]=>[1,3,4,6,5,2]
[{6},{1,2,3},{5},{4}]=>[6,1,2,3,5,4]=>[1,6,4,3,2,5]=>[1,3,4,6,2,5]
[{4},{1,2,5},{3},{6}]=>[4,1,2,5,3,6]=>[1,4,5,3,2,6]=>[1,3,5,4,2,6]
[{4},{1,2,6},{3},{5}]=>[4,1,2,6,3,5]=>[1,4,6,5,3,2]=>[1,3,5,4,6,2]
[{5},{1,2,4},{3},{6}]=>[5,1,2,4,3,6]=>[1,5,3,2,4,6]=>[1,3,5,2,4,6]
[{6},{1,2,4},{3},{5}]=>[6,1,2,4,3,5]=>[1,6,5,3,2,4]=>[1,3,5,2,6,4]
[{5},{1,2,6},{3},{4}]=>[5,1,2,6,3,4]=>[1,5,3,2,4,6]=>[1,3,5,2,4,6]
[{6},{1,2,5},{3},{4}]=>[6,1,2,5,3,4]=>[1,6,4,5,3,2]=>[1,3,5,6,4,2]
[{4},{1,2,5},{6},{3}]=>[4,1,2,5,6,3]=>[1,4,5,6,3,2]=>[1,3,6,4,5,2]
[{4},{1,2,6},{5},{3}]=>[4,1,2,6,5,3]=>[1,4,6,3,2,5]=>[1,3,6,4,2,5]
[{5},{1,2,4},{6},{3}]=>[5,1,2,4,6,3]=>[1,5,6,3,2,4]=>[1,3,6,2,5,4]
[{6},{1,2,4},{5},{3}]=>[6,1,2,4,5,3]=>[1,6,3,2,4,5]=>[1,3,6,2,4,5]
[{5},{1,2,6},{4},{3}]=>[5,1,2,6,4,3]=>[1,5,4,6,3,2]=>[1,3,6,5,4,2]
[{6},{1,2,5},{4},{3}]=>[6,1,2,5,4,3]=>[1,6,3,2,4,5]=>[1,3,6,2,4,5]
[{3},{1,4,5},{2},{6}]=>[3,1,4,5,2,6]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]
[{3},{1,4,6},{2},{5}]=>[3,1,4,6,2,5]=>[1,3,4,6,5,2]=>[1,5,3,4,6,2]
[{3},{1,5,6},{2},{4}]=>[3,1,5,6,2,4]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[{4},{1,3,5},{2},{6}]=>[4,1,3,5,2,6]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]
[{4},{1,3,6},{2},{5}]=>[4,1,3,6,2,5]=>[1,4,6,5,2,3]=>[1,5,2,4,6,3]
[{5},{1,3,4},{2},{6}]=>[5,1,3,4,2,6]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{1,3,4},{2},{5}]=>[6,1,3,4,2,5]=>[1,6,5,2,3,4]=>[1,5,2,3,6,4]
[{5},{1,3,6},{2},{4}]=>[5,1,3,6,2,4]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{1,3,5},{2},{4}]=>[6,1,3,5,2,4]=>[1,6,4,5,2,3]=>[1,5,2,6,4,3]
[{4},{1,5,6},{2},{3}]=>[4,1,5,6,2,3]=>[1,4,6,3,5,2]=>[1,5,6,4,3,2]
[{5},{1,4,6},{2},{3}]=>[5,1,4,6,2,3]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{1,4,5},{2},{3}]=>[6,1,4,5,2,3]=>[1,6,3,4,5,2]=>[1,5,6,3,4,2]
[{3},{1,4,5},{6},{2}]=>[3,1,4,5,6,2]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2]
[{3},{1,4,6},{5},{2}]=>[3,1,4,6,5,2]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]
[{3},{1,5,6},{4},{2}]=>[3,1,5,6,4,2]=>[1,3,5,4,6,2]=>[1,6,3,5,4,2]
[{4},{1,3,5},{6},{2}]=>[4,1,3,5,6,2]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]
[{4},{1,3,6},{5},{2}]=>[4,1,3,6,5,2]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]
[{5},{1,3,4},{6},{2}]=>[5,1,3,4,6,2]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]
[{6},{1,3,4},{5},{2}]=>[6,1,3,4,5,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[{5},{1,3,6},{4},{2}]=>[5,1,3,6,4,2]=>[1,5,4,6,2,3]=>[1,6,2,5,4,3]
[{6},{1,3,5},{4},{2}]=>[6,1,3,5,4,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[{4},{1,5,6},{3},{2}]=>[4,1,5,6,3,2]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]
[{5},{1,4,6},{3},{2}]=>[5,1,4,6,3,2]=>[1,5,3,4,6,2]=>[1,6,5,3,4,2]
[{6},{1,4,5},{3},{2}]=>[6,1,4,5,3,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[{2},{3,4,5},{1},{6}]=>[2,3,4,5,1,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{3,4,6},{1},{5}]=>[2,3,4,6,1,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{2},{3,5,6},{1},{4}]=>[2,3,5,6,1,4]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{2},{4,5,6},{1},{3}]=>[2,4,5,6,1,3]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]
[{3},{2,4,5},{1},{6}]=>[3,2,4,5,1,6]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]
[{3},{2,4,6},{1},{5}]=>[3,2,4,6,1,5]=>[1,3,4,6,5,2]=>[1,5,3,4,6,2]
[{3},{2,5,6},{1},{4}]=>[3,2,5,6,1,4]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[{4},{2,3,5},{1},{6}]=>[4,2,3,5,1,6]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]
[{4},{2,3,6},{1},{5}]=>[4,2,3,6,1,5]=>[1,4,6,5,2,3]=>[1,5,2,4,6,3]
[{5},{2,3,4},{1},{6}]=>[5,2,3,4,1,6]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{2,3,4},{1},{5}]=>[6,2,3,4,1,5]=>[1,6,5,2,3,4]=>[1,5,2,3,6,4]
[{5},{2,3,6},{1},{4}]=>[5,2,3,6,1,4]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{2,3,5},{1},{4}]=>[6,2,3,5,1,4]=>[1,6,4,5,2,3]=>[1,5,2,6,4,3]
[{4},{2,5,6},{1},{3}]=>[4,2,5,6,1,3]=>[1,4,6,3,5,2]=>[1,5,6,4,3,2]
[{5},{2,4,6},{1},{3}]=>[5,2,4,6,1,3]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{2,4,5},{1},{3}]=>[6,2,4,5,1,3]=>[1,6,3,4,5,2]=>[1,5,6,3,4,2]
[{3},{4,5,6},{1},{2}]=>[3,4,5,6,1,2]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[{4},{3,5,6},{1},{2}]=>[4,3,5,6,1,2]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]
[{5},{3,4,6},{1},{2}]=>[5,3,4,6,1,2]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{3,4,5},{1},{2}]=>[6,3,4,5,1,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[{2},{3,4,5},{6},{1}]=>[2,3,4,5,6,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{3,4,6},{5},{1}]=>[2,3,4,6,5,1]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{2},{3,5,6},{4},{1}]=>[2,3,5,6,4,1]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{2},{4,5,6},{3},{1}]=>[2,4,5,6,3,1]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]
[{3},{2,4,5},{6},{1}]=>[3,2,4,5,6,1]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2]
[{3},{2,4,6},{5},{1}]=>[3,2,4,6,5,1]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]
[{3},{2,5,6},{4},{1}]=>[3,2,5,6,4,1]=>[1,3,5,4,6,2]=>[1,6,3,5,4,2]
[{4},{2,3,5},{6},{1}]=>[4,2,3,5,6,1]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]
[{4},{2,3,6},{5},{1}]=>[4,2,3,6,5,1]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]
[{5},{2,3,4},{6},{1}]=>[5,2,3,4,6,1]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]
[{6},{2,3,4},{5},{1}]=>[6,2,3,4,5,1]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[{5},{2,3,6},{4},{1}]=>[5,2,3,6,4,1]=>[1,5,4,6,2,3]=>[1,6,2,5,4,3]
[{6},{2,3,5},{4},{1}]=>[6,2,3,5,4,1]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[{4},{2,5,6},{3},{1}]=>[4,2,5,6,3,1]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]
[{5},{2,4,6},{3},{1}]=>[5,2,4,6,3,1]=>[1,5,3,4,6,2]=>[1,6,5,3,4,2]
[{6},{2,4,5},{3},{1}]=>[6,2,4,5,3,1]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[{3},{4,5,6},{2},{1}]=>[3,4,5,6,2,1]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[{4},{3,5,6},{2},{1}]=>[4,3,5,6,2,1]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]
[{5},{3,4,6},{2},{1}]=>[5,3,4,6,2,1]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{3,4,5},{2},{1}]=>[6,3,4,5,2,1]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[{1},{2,3,4},{5,6}]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{2,3,5},{4,6}]=>[1,2,3,5,4,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{2,3,6},{4,5}]=>[1,2,3,6,4,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1},{2,4,5},{3,6}]=>[1,2,4,5,3,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{2,4,6},{3,5}]=>[1,2,4,6,3,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1},{2,5,6},{3,4}]=>[1,2,5,6,3,4]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1},{3,4,5},{2,6}]=>[1,3,4,5,2,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{3,4,6},{2,5}]=>[1,3,4,6,2,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1},{3,5,6},{2,4}]=>[1,3,5,6,2,4]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1},{4,5,6},{2,3}]=>[1,4,5,6,2,3]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]
[{2},{1,3,4},{5,6}]=>[2,1,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{1,3,5},{4,6}]=>[2,1,3,5,4,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{1,3,6},{4,5}]=>[2,1,3,6,4,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{2},{1,4,5},{3,6}]=>[2,1,4,5,3,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{1,4,6},{3,5}]=>[2,1,4,6,3,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{2},{1,5,6},{3,4}]=>[2,1,5,6,3,4]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{3},{1,2,4},{5,6}]=>[3,1,2,4,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{1,2,5},{4,6}]=>[3,1,2,5,4,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{1,2,6},{4,5}]=>[3,1,2,6,4,5]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]
[{4},{1,2,3},{5,6}]=>[4,1,2,3,5,6]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]
[{5},{1,2,3},{4,6}]=>[5,1,2,3,4,6]=>[1,5,4,3,2,6]=>[1,3,4,5,2,6]
[{6},{1,2,3},{4,5}]=>[6,1,2,3,4,5]=>[1,6,5,4,3,2]=>[1,3,4,5,6,2]
[{4},{1,2,5},{3,6}]=>[4,1,2,5,3,6]=>[1,4,5,3,2,6]=>[1,3,5,4,2,6]
[{4},{1,2,6},{3,5}]=>[4,1,2,6,3,5]=>[1,4,6,5,3,2]=>[1,3,5,4,6,2]
[{5},{1,2,4},{3,6}]=>[5,1,2,4,3,6]=>[1,5,3,2,4,6]=>[1,3,5,2,4,6]
[{6},{1,2,4},{3,5}]=>[6,1,2,4,3,5]=>[1,6,5,3,2,4]=>[1,3,5,2,6,4]
[{5},{1,2,6},{3,4}]=>[5,1,2,6,3,4]=>[1,5,3,2,4,6]=>[1,3,5,2,4,6]
[{6},{1,2,5},{3,4}]=>[6,1,2,5,3,4]=>[1,6,4,5,3,2]=>[1,3,5,6,4,2]
[{3},{1,4,5},{2,6}]=>[3,1,4,5,2,6]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]
[{3},{1,4,6},{2,5}]=>[3,1,4,6,2,5]=>[1,3,4,6,5,2]=>[1,5,3,4,6,2]
[{3},{1,5,6},{2,4}]=>[3,1,5,6,2,4]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[{4},{1,3,5},{2,6}]=>[4,1,3,5,2,6]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]
[{4},{1,3,6},{2,5}]=>[4,1,3,6,2,5]=>[1,4,6,5,2,3]=>[1,5,2,4,6,3]
[{5},{1,3,4},{2,6}]=>[5,1,3,4,2,6]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{1,3,4},{2,5}]=>[6,1,3,4,2,5]=>[1,6,5,2,3,4]=>[1,5,2,3,6,4]
[{5},{1,3,6},{2,4}]=>[5,1,3,6,2,4]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{1,3,5},{2,4}]=>[6,1,3,5,2,4]=>[1,6,4,5,2,3]=>[1,5,2,6,4,3]
[{4},{1,5,6},{2,3}]=>[4,1,5,6,2,3]=>[1,4,6,3,5,2]=>[1,5,6,4,3,2]
[{5},{1,4,6},{2,3}]=>[5,1,4,6,2,3]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{1,4,5},{2,3}]=>[6,1,4,5,2,3]=>[1,6,3,4,5,2]=>[1,5,6,3,4,2]
[{2},{3,4,5},{1,6}]=>[2,3,4,5,1,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{3,4,6},{1,5}]=>[2,3,4,6,1,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{2},{3,5,6},{1,4}]=>[2,3,5,6,1,4]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{2},{4,5,6},{1,3}]=>[2,4,5,6,1,3]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]
[{3},{2,4,5},{1,6}]=>[3,2,4,5,1,6]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]
[{3},{2,4,6},{1,5}]=>[3,2,4,6,1,5]=>[1,3,4,6,5,2]=>[1,5,3,4,6,2]
[{3},{2,5,6},{1,4}]=>[3,2,5,6,1,4]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[{4},{2,3,5},{1,6}]=>[4,2,3,5,1,6]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]
[{4},{2,3,6},{1,5}]=>[4,2,3,6,1,5]=>[1,4,6,5,2,3]=>[1,5,2,4,6,3]
[{5},{2,3,4},{1,6}]=>[5,2,3,4,1,6]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{2,3,4},{1,5}]=>[6,2,3,4,1,5]=>[1,6,5,2,3,4]=>[1,5,2,3,6,4]
[{5},{2,3,6},{1,4}]=>[5,2,3,6,1,4]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{2,3,5},{1,4}]=>[6,2,3,5,1,4]=>[1,6,4,5,2,3]=>[1,5,2,6,4,3]
[{4},{2,5,6},{1,3}]=>[4,2,5,6,1,3]=>[1,4,6,3,5,2]=>[1,5,6,4,3,2]
[{5},{2,4,6},{1,3}]=>[5,2,4,6,1,3]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{2,4,5},{1,3}]=>[6,2,4,5,1,3]=>[1,6,3,4,5,2]=>[1,5,6,3,4,2]
[{3},{4,5,6},{1,2}]=>[3,4,5,6,1,2]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[{4},{3,5,6},{1,2}]=>[4,3,5,6,1,2]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]
[{5},{3,4,6},{1,2}]=>[5,3,4,6,1,2]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[{6},{3,4,5},{1,2}]=>[6,3,4,5,1,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[{1},{2,3,4,5},{6}]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{2,3,4,6},{5}]=>[1,2,3,4,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{2,3,5,6},{4}]=>[1,2,3,5,6,4]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{2,4,5,6},{3}]=>[1,2,4,5,6,3]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1},{3,4,5,6},{2}]=>[1,3,4,5,6,2]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{1,3,4,5},{6}]=>[2,1,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{1,3,4,6},{5}]=>[2,1,3,4,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{1,3,5,6},{4}]=>[2,1,3,5,6,4]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{1,4,5,6},{3}]=>[2,1,4,5,6,3]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{3},{1,2,4,5},{6}]=>[3,1,2,4,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{1,2,4,6},{5}]=>[3,1,2,4,6,5]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3},{1,2,5,6},{4}]=>[3,1,2,5,6,4]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{4},{1,2,3,5},{6}]=>[4,1,2,3,5,6]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]
[{4},{1,2,3,6},{5}]=>[4,1,2,3,6,5]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]
[{5},{1,2,3,4},{6}]=>[5,1,2,3,4,6]=>[1,5,4,3,2,6]=>[1,3,4,5,2,6]
[{6},{1,2,3,4},{5}]=>[6,1,2,3,4,5]=>[1,6,5,4,3,2]=>[1,3,4,5,6,2]
[{5},{1,2,3,6},{4}]=>[5,1,2,3,6,4]=>[1,5,6,4,3,2]=>[1,3,4,6,5,2]
[{6},{1,2,3,5},{4}]=>[6,1,2,3,5,4]=>[1,6,4,3,2,5]=>[1,3,4,6,2,5]
[{4},{1,2,5,6},{3}]=>[4,1,2,5,6,3]=>[1,4,5,6,3,2]=>[1,3,6,4,5,2]
[{5},{1,2,4,6},{3}]=>[5,1,2,4,6,3]=>[1,5,6,3,2,4]=>[1,3,6,2,5,4]
[{6},{1,2,4,5},{3}]=>[6,1,2,4,5,3]=>[1,6,3,2,4,5]=>[1,3,6,2,4,5]
[{3},{1,4,5,6},{2}]=>[3,1,4,5,6,2]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2]
[{4},{1,3,5,6},{2}]=>[4,1,3,5,6,2]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]
[{5},{1,3,4,6},{2}]=>[5,1,3,4,6,2]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]
[{6},{1,3,4,5},{2}]=>[6,1,3,4,5,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[{2},{3,4,5,6},{1}]=>[2,3,4,5,6,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{3},{2,4,5,6},{1}]=>[3,2,4,5,6,1]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2]
[{4},{2,3,5,6},{1}]=>[4,2,3,5,6,1]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]
[{5},{2,3,4,6},{1}]=>[5,2,3,4,6,1]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]
[{6},{2,3,4,5},{1}]=>[6,2,3,4,5,1]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[{1},{2,3,4,5,6}]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2},{1,3,4,5,6}]=>[2,1,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{3},{1,2,4,5,6}]=>[3,1,2,4,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{4},{1,2,3,5,6}]=>[4,1,2,3,5,6]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]
[{5},{1,2,3,4,6}]=>[5,1,2,3,4,6]=>[1,5,4,3,2,6]=>[1,3,4,5,2,6]
[{6},{1,2,3,4,5}]=>[6,1,2,3,4,5]=>[1,6,5,4,3,2]=>[1,3,4,5,6,2]
[{1,2},{3},{4},{5},{6}]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,2},{3},{4},{6},{5}]=>[1,2,3,4,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,2},{3},{5},{4},{6}]=>[1,2,3,5,4,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,2},{3},{6},{4},{5}]=>[1,2,3,6,4,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1,2},{3},{5},{6},{4}]=>[1,2,3,5,6,4]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,2},{3},{6},{5},{4}]=>[1,2,3,6,5,4]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1,2},{4},{3},{5},{6}]=>[1,2,4,3,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,2},{4},{3},{6},{5}]=>[1,2,4,3,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,2},{5},{3},{4},{6}]=>[1,2,5,3,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1,2},{6},{3},{4},{5}]=>[1,2,6,3,4,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{1,2},{5},{3},{6},{4}]=>[1,2,5,3,6,4]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]
[{1,2},{6},{3},{5},{4}]=>[1,2,6,3,5,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{1,2},{4},{5},{3},{6}]=>[1,2,4,5,3,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,2},{4},{6},{3},{5}]=>[1,2,4,6,3,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1,2},{5},{4},{3},{6}]=>[1,2,5,4,3,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1,2},{6},{4},{3},{5}]=>[1,2,6,4,3,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{1,2},{5},{6},{3},{4}]=>[1,2,5,6,3,4]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1,2},{6},{5},{3},{4}]=>[1,2,6,5,3,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{1,2},{4},{5},{6},{3}]=>[1,2,4,5,6,3]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,2},{4},{6},{5},{3}]=>[1,2,4,6,5,3]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1,2},{5},{4},{6},{3}]=>[1,2,5,4,6,3]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]
[{1,2},{6},{4},{5},{3}]=>[1,2,6,4,5,3]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{1,2},{5},{6},{4},{3}]=>[1,2,5,6,4,3]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1,2},{6},{5},{4},{3}]=>[1,2,6,5,4,3]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{1,3},{2},{4},{5},{6}]=>[1,3,2,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,3},{2},{4},{6},{5}]=>[1,3,2,4,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,3},{2},{5},{4},{6}]=>[1,3,2,5,4,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,3},{2},{6},{4},{5}]=>[1,3,2,6,4,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1,3},{2},{5},{6},{4}]=>[1,3,2,5,6,4]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,3},{2},{6},{5},{4}]=>[1,3,2,6,5,4]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1,4},{2},{3},{5},{6}]=>[1,4,2,3,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1,4},{2},{3},{6},{5}]=>[1,4,2,3,6,5]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1,5},{2},{3},{4},{6}]=>[1,5,2,3,4,6]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{1,6},{2},{3},{4},{5}]=>[1,6,2,3,4,5]=>[1,2,6,5,4,3]=>[1,2,4,5,6,3]
[{1,5},{2},{3},{6},{4}]=>[1,5,2,3,6,4]=>[1,2,5,6,4,3]=>[1,2,4,6,5,3]
[{1,6},{2},{3},{5},{4}]=>[1,6,2,3,5,4]=>[1,2,6,4,3,5]=>[1,2,4,6,3,5]
[{1,4},{2},{5},{3},{6}]=>[1,4,2,5,3,6]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]
[{1,4},{2},{6},{3},{5}]=>[1,4,2,6,3,5]=>[1,2,4,6,5,3]=>[1,2,5,4,6,3]
[{1,5},{2},{4},{3},{6}]=>[1,5,2,4,3,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{1,6},{2},{4},{3},{5}]=>[1,6,2,4,3,5]=>[1,2,6,5,3,4]=>[1,2,5,3,6,4]
[{1,5},{2},{6},{3},{4}]=>[1,5,2,6,3,4]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{1,6},{2},{5},{3},{4}]=>[1,6,2,5,3,4]=>[1,2,6,4,5,3]=>[1,2,5,6,4,3]
[{1,4},{2},{5},{6},{3}]=>[1,4,2,5,6,3]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]
[{1,4},{2},{6},{5},{3}]=>[1,4,2,6,5,3]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]
[{1,5},{2},{4},{6},{3}]=>[1,5,2,4,6,3]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]
[{1,6},{2},{4},{5},{3}]=>[1,6,2,4,5,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{1,5},{2},{6},{4},{3}]=>[1,5,2,6,4,3]=>[1,2,5,4,6,3]=>[1,2,6,5,4,3]
[{1,6},{2},{5},{4},{3}]=>[1,6,2,5,4,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{1,3},{4},{2},{5},{6}]=>[1,3,4,2,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,3},{4},{2},{6},{5}]=>[1,3,4,2,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,3},{5},{2},{4},{6}]=>[1,3,5,2,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1,3},{6},{2},{4},{5}]=>[1,3,6,2,4,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{1,3},{5},{2},{6},{4}]=>[1,3,5,2,6,4]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]
[{1,3},{6},{2},{5},{4}]=>[1,3,6,2,5,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{1,4},{3},{2},{5},{6}]=>[1,4,3,2,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1,4},{3},{2},{6},{5}]=>[1,4,3,2,6,5]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1,5},{3},{2},{4},{6}]=>[1,5,3,2,4,6]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{1,6},{3},{2},{4},{5}]=>[1,6,3,2,4,5]=>[1,2,6,5,4,3]=>[1,2,4,5,6,3]
[{1,5},{3},{2},{6},{4}]=>[1,5,3,2,6,4]=>[1,2,5,6,4,3]=>[1,2,4,6,5,3]
[{1,6},{3},{2},{5},{4}]=>[1,6,3,2,5,4]=>[1,2,6,4,3,5]=>[1,2,4,6,3,5]
[{1,4},{5},{2},{3},{6}]=>[1,4,5,2,3,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1,4},{6},{2},{3},{5}]=>[1,4,6,2,3,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{1,5},{4},{2},{3},{6}]=>[1,5,4,2,3,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{1,6},{4},{2},{3},{5}]=>[1,6,4,2,3,5]=>[1,2,6,5,3,4]=>[1,2,5,3,6,4]
[{1,5},{6},{2},{3},{4}]=>[1,5,6,2,3,4]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[{1,6},{5},{2},{3},{4}]=>[1,6,5,2,3,4]=>[1,2,6,4,3,5]=>[1,2,4,6,3,5]
[{1,4},{5},{2},{6},{3}]=>[1,4,5,2,6,3]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1,4},{6},{2},{5},{3}]=>[1,4,6,2,5,3]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{1,5},{4},{2},{6},{3}]=>[1,5,4,2,6,3]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]
[{1,6},{4},{2},{5},{3}]=>[1,6,4,2,5,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{1,5},{6},{2},{4},{3}]=>[1,5,6,2,4,3]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{1,6},{5},{2},{4},{3}]=>[1,6,5,2,4,3]=>[1,2,6,3,5,4]=>[1,2,6,5,3,4]
[{1,3},{4},{5},{2},{6}]=>[1,3,4,5,2,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,3},{4},{6},{2},{5}]=>[1,3,4,6,2,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1,3},{5},{4},{2},{6}]=>[1,3,5,4,2,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1,3},{6},{4},{2},{5}]=>[1,3,6,4,2,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{1,3},{5},{6},{2},{4}]=>[1,3,5,6,2,4]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1,3},{6},{5},{2},{4}]=>[1,3,6,5,2,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{1,4},{3},{5},{2},{6}]=>[1,4,3,5,2,6]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]
[{1,4},{3},{6},{2},{5}]=>[1,4,3,6,2,5]=>[1,2,4,6,5,3]=>[1,2,5,4,6,3]
[{1,5},{3},{4},{2},{6}]=>[1,5,3,4,2,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{1,6},{3},{4},{2},{5}]=>[1,6,3,4,2,5]=>[1,2,6,5,3,4]=>[1,2,5,3,6,4]
[{1,5},{3},{6},{2},{4}]=>[1,5,3,6,2,4]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{1,6},{3},{5},{2},{4}]=>[1,6,3,5,2,4]=>[1,2,6,4,5,3]=>[1,2,5,6,4,3]
[{1,4},{5},{3},{2},{6}]=>[1,4,5,3,2,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1,4},{6},{3},{2},{5}]=>[1,4,6,3,2,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{1,5},{4},{3},{2},{6}]=>[1,5,4,3,2,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{1,6},{4},{3},{2},{5}]=>[1,6,4,3,2,5]=>[1,2,6,5,3,4]=>[1,2,5,3,6,4]
[{1,5},{6},{3},{2},{4}]=>[1,5,6,3,2,4]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[{1,6},{5},{3},{2},{4}]=>[1,6,5,3,2,4]=>[1,2,6,4,3,5]=>[1,2,4,6,3,5]
[{1,4},{5},{6},{2},{3}]=>[1,4,5,6,2,3]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]
[{1,4},{6},{5},{2},{3}]=>[1,4,6,5,2,3]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]
[{1,5},{4},{6},{2},{3}]=>[1,5,4,6,2,3]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{1,6},{4},{5},{2},{3}]=>[1,6,4,5,2,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{1,5},{6},{4},{2},{3}]=>[1,5,6,4,2,3]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[{1,6},{5},{4},{2},{3}]=>[1,6,5,4,2,3]=>[1,2,6,3,5,4]=>[1,2,6,5,3,4]
[{1,3},{4},{5},{6},{2}]=>[1,3,4,5,6,2]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,3},{4},{6},{5},{2}]=>[1,3,4,6,5,2]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1,3},{5},{4},{6},{2}]=>[1,3,5,4,6,2]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]
[{1,3},{6},{4},{5},{2}]=>[1,3,6,4,5,2]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{1,3},{5},{6},{4},{2}]=>[1,3,5,6,4,2]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1,3},{6},{5},{4},{2}]=>[1,3,6,5,4,2]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{1,4},{3},{5},{6},{2}]=>[1,4,3,5,6,2]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]
[{1,4},{3},{6},{5},{2}]=>[1,4,3,6,5,2]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]
[{1,5},{3},{4},{6},{2}]=>[1,5,3,4,6,2]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]
[{1,6},{3},{4},{5},{2}]=>[1,6,3,4,5,2]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{1,5},{3},{6},{4},{2}]=>[1,5,3,6,4,2]=>[1,2,5,4,6,3]=>[1,2,6,5,4,3]
[{1,6},{3},{5},{4},{2}]=>[1,6,3,5,4,2]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{1,4},{5},{3},{6},{2}]=>[1,4,5,3,6,2]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1,4},{6},{3},{5},{2}]=>[1,4,6,3,5,2]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{1,5},{4},{3},{6},{2}]=>[1,5,4,3,6,2]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]
[{1,6},{4},{3},{5},{2}]=>[1,6,4,3,5,2]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{1,5},{6},{3},{4},{2}]=>[1,5,6,3,4,2]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{1,6},{5},{3},{4},{2}]=>[1,6,5,3,4,2]=>[1,2,6,3,5,4]=>[1,2,6,5,3,4]
[{1,4},{5},{6},{3},{2}]=>[1,4,5,6,3,2]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]
[{1,4},{6},{5},{3},{2}]=>[1,4,6,5,3,2]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]
[{1,5},{4},{6},{3},{2}]=>[1,5,4,6,3,2]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{1,6},{4},{5},{3},{2}]=>[1,6,4,5,3,2]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{1,5},{6},{4},{3},{2}]=>[1,5,6,4,3,2]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[{1,6},{5},{4},{3},{2}]=>[1,6,5,4,3,2]=>[1,2,6,3,5,4]=>[1,2,6,5,3,4]
[{2,3},{1},{4},{5},{6}]=>[2,3,1,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2,3},{1},{4},{6},{5}]=>[2,3,1,4,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2,3},{1},{5},{4},{6}]=>[2,3,1,5,4,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2,3},{1},{6},{4},{5}]=>[2,3,1,6,4,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{2,3},{1},{5},{6},{4}]=>[2,3,1,5,6,4]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2,3},{1},{6},{5},{4}]=>[2,3,1,6,5,4]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{2,4},{1},{3},{5},{6}]=>[2,4,1,3,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2,4},{1},{3},{6},{5}]=>[2,4,1,3,6,5]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2,5},{1},{3},{4},{6}]=>[2,5,1,3,4,6]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{2,6},{1},{3},{4},{5}]=>[2,6,1,3,4,5]=>[1,2,6,5,4,3]=>[1,2,4,5,6,3]
[{2,5},{1},{3},{6},{4}]=>[2,5,1,3,6,4]=>[1,2,5,6,4,3]=>[1,2,4,6,5,3]
[{2,6},{1},{3},{5},{4}]=>[2,6,1,3,5,4]=>[1,2,6,4,3,5]=>[1,2,4,6,3,5]
[{2,4},{1},{5},{3},{6}]=>[2,4,1,5,3,6]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]
[{2,4},{1},{6},{3},{5}]=>[2,4,1,6,3,5]=>[1,2,4,6,5,3]=>[1,2,5,4,6,3]
[{2,5},{1},{4},{3},{6}]=>[2,5,1,4,3,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{2,6},{1},{4},{3},{5}]=>[2,6,1,4,3,5]=>[1,2,6,5,3,4]=>[1,2,5,3,6,4]
[{2,5},{1},{6},{3},{4}]=>[2,5,1,6,3,4]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{2,6},{1},{5},{3},{4}]=>[2,6,1,5,3,4]=>[1,2,6,4,5,3]=>[1,2,5,6,4,3]
[{2,4},{1},{5},{6},{3}]=>[2,4,1,5,6,3]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]
[{2,4},{1},{6},{5},{3}]=>[2,4,1,6,5,3]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]
[{2,5},{1},{4},{6},{3}]=>[2,5,1,4,6,3]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]
[{2,6},{1},{4},{5},{3}]=>[2,6,1,4,5,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{2,5},{1},{6},{4},{3}]=>[2,5,1,6,4,3]=>[1,2,5,4,6,3]=>[1,2,6,5,4,3]
[{2,6},{1},{5},{4},{3}]=>[2,6,1,5,4,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{3,4},{1},{2},{5},{6}]=>[3,4,1,2,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3,4},{1},{2},{6},{5}]=>[3,4,1,2,6,5]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3,5},{1},{2},{4},{6}]=>[3,5,1,2,4,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]
[{3,6},{1},{2},{4},{5}]=>[3,6,1,2,4,5]=>[1,3,2,6,5,4]=>[1,3,2,5,6,4]
[{3,5},{1},{2},{6},{4}]=>[3,5,1,2,6,4]=>[1,3,2,5,6,4]=>[1,3,2,6,5,4]
[{3,6},{1},{2},{5},{4}]=>[3,6,1,2,5,4]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]
[{4,5},{1},{2},{3},{6}]=>[4,5,1,2,3,6]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{4,6},{1},{2},{3},{5}]=>[4,6,1,2,3,5]=>[1,4,2,6,5,3]=>[1,4,5,2,6,3]
[{5,6},{1},{2},{3},{4}]=>[5,6,1,2,3,4]=>[1,5,3,2,6,4]=>[1,3,5,6,2,4]
[{4,5},{1},{2},{6},{3}]=>[4,5,1,2,6,3]=>[1,4,2,5,6,3]=>[1,4,6,2,5,3]
[{4,6},{1},{2},{5},{3}]=>[4,6,1,2,5,3]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]
[{5,6},{1},{2},{4},{3}]=>[5,6,1,2,4,3]=>[1,5,4,2,6,3]=>[1,4,5,6,3,2]
[{3,4},{1},{5},{2},{6}]=>[3,4,1,5,2,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3,4},{1},{6},{2},{5}]=>[3,4,1,6,2,5]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]
[{3,5},{1},{4},{2},{6}]=>[3,5,1,4,2,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]
[{3,6},{1},{4},{2},{5}]=>[3,6,1,4,2,5]=>[1,3,2,6,5,4]=>[1,3,2,5,6,4]
[{3,5},{1},{6},{2},{4}]=>[3,5,1,6,2,4]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]
[{3,6},{1},{5},{2},{4}]=>[3,6,1,5,2,4]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]
[{4,5},{1},{3},{2},{6}]=>[4,5,1,3,2,6]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]
[{4,6},{1},{3},{2},{5}]=>[4,6,1,3,2,5]=>[1,4,3,2,6,5]=>[1,3,4,2,6,5]
[{5,6},{1},{3},{2},{4}]=>[5,6,1,3,2,4]=>[1,5,2,6,4,3]=>[1,5,4,6,2,3]
[{4,5},{1},{6},{2},{3}]=>[4,5,1,6,2,3]=>[1,4,6,3,2,5]=>[1,3,6,4,2,5]
[{4,6},{1},{5},{2},{3}]=>[4,6,1,5,2,3]=>[1,4,5,2,6,3]=>[1,5,6,4,2,3]
[{5,6},{1},{4},{2},{3}]=>[5,6,1,4,2,3]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]
[{3,4},{1},{5},{6},{2}]=>[3,4,1,5,6,2]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3,4},{1},{6},{5},{2}]=>[3,4,1,6,5,2]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]
[{3,5},{1},{4},{6},{2}]=>[3,5,1,4,6,2]=>[1,3,2,5,6,4]=>[1,3,2,6,5,4]
[{3,6},{1},{4},{5},{2}]=>[3,6,1,4,5,2]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]
[{3,5},{1},{6},{4},{2}]=>[3,5,1,6,4,2]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]
[{3,6},{1},{5},{4},{2}]=>[3,6,1,5,4,2]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]
[{4,5},{1},{3},{6},{2}]=>[4,5,1,3,6,2]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]
[{4,6},{1},{3},{5},{2}]=>[4,6,1,3,5,2]=>[1,4,3,2,6,5]=>[1,3,4,2,6,5]
[{5,6},{1},{3},{4},{2}]=>[5,6,1,3,4,2]=>[1,5,4,3,2,6]=>[1,3,4,5,2,6]
[{4,5},{1},{6},{3},{2}]=>[4,5,1,6,3,2]=>[1,4,6,2,5,3]=>[1,6,5,4,2,3]
[{4,6},{1},{5},{3},{2}]=>[4,6,1,5,3,2]=>[1,4,5,3,2,6]=>[1,3,5,4,2,6]
[{5,6},{1},{4},{3},{2}]=>[5,6,1,4,3,2]=>[1,5,3,2,6,4]=>[1,3,5,6,2,4]
[{2,3},{4},{1},{5},{6}]=>[2,3,4,1,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2,3},{4},{1},{6},{5}]=>[2,3,4,1,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2,3},{5},{1},{4},{6}]=>[2,3,5,1,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{2,3},{6},{1},{4},{5}]=>[2,3,6,1,4,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{2,3},{5},{1},{6},{4}]=>[2,3,5,1,6,4]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]
[{2,3},{6},{1},{5},{4}]=>[2,3,6,1,5,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{2,4},{3},{1},{5},{6}]=>[2,4,3,1,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2,4},{3},{1},{6},{5}]=>[2,4,3,1,6,5]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2,5},{3},{1},{4},{6}]=>[2,5,3,1,4,6]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{2,6},{3},{1},{4},{5}]=>[2,6,3,1,4,5]=>[1,2,6,5,4,3]=>[1,2,4,5,6,3]
[{2,5},{3},{1},{6},{4}]=>[2,5,3,1,6,4]=>[1,2,5,6,4,3]=>[1,2,4,6,5,3]
[{2,6},{3},{1},{5},{4}]=>[2,6,3,1,5,4]=>[1,2,6,4,3,5]=>[1,2,4,6,3,5]
[{2,4},{5},{1},{3},{6}]=>[2,4,5,1,3,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2,4},{6},{1},{3},{5}]=>[2,4,6,1,3,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{2,5},{4},{1},{3},{6}]=>[2,5,4,1,3,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{2,6},{4},{1},{3},{5}]=>[2,6,4,1,3,5]=>[1,2,6,5,3,4]=>[1,2,5,3,6,4]
[{2,5},{6},{1},{3},{4}]=>[2,5,6,1,3,4]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[{2,6},{5},{1},{3},{4}]=>[2,6,5,1,3,4]=>[1,2,6,4,3,5]=>[1,2,4,6,3,5]
[{2,4},{5},{1},{6},{3}]=>[2,4,5,1,6,3]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2,4},{6},{1},{5},{3}]=>[2,4,6,1,5,3]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{2,5},{4},{1},{6},{3}]=>[2,5,4,1,6,3]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]
[{2,6},{4},{1},{5},{3}]=>[2,6,4,1,5,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{2,5},{6},{1},{4},{3}]=>[2,5,6,1,4,3]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{2,6},{5},{1},{4},{3}]=>[2,6,5,1,4,3]=>[1,2,6,3,5,4]=>[1,2,6,5,3,4]
[{3,4},{2},{1},{5},{6}]=>[3,4,2,1,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3,4},{2},{1},{6},{5}]=>[3,4,2,1,6,5]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3,5},{2},{1},{4},{6}]=>[3,5,2,1,4,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]
[{3,6},{2},{1},{4},{5}]=>[3,6,2,1,4,5]=>[1,3,2,6,5,4]=>[1,3,2,5,6,4]
[{3,5},{2},{1},{6},{4}]=>[3,5,2,1,6,4]=>[1,3,2,5,6,4]=>[1,3,2,6,5,4]
[{3,6},{2},{1},{5},{4}]=>[3,6,2,1,5,4]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]
[{4,5},{2},{1},{3},{6}]=>[4,5,2,1,3,6]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{4,6},{2},{1},{3},{5}]=>[4,6,2,1,3,5]=>[1,4,2,6,5,3]=>[1,4,5,2,6,3]
[{5,6},{2},{1},{3},{4}]=>[5,6,2,1,3,4]=>[1,5,3,2,6,4]=>[1,3,5,6,2,4]
[{4,5},{2},{1},{6},{3}]=>[4,5,2,1,6,3]=>[1,4,2,5,6,3]=>[1,4,6,2,5,3]
[{4,6},{2},{1},{5},{3}]=>[4,6,2,1,5,3]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]
[{5,6},{2},{1},{4},{3}]=>[5,6,2,1,4,3]=>[1,5,4,2,6,3]=>[1,4,5,6,3,2]
[{3,4},{5},{1},{2},{6}]=>[3,4,5,1,2,6]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[{3,4},{6},{1},{2},{5}]=>[3,4,6,1,2,5]=>[1,3,6,5,2,4]=>[1,5,3,2,6,4]
[{3,5},{4},{1},{2},{6}]=>[3,5,4,1,2,6]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]
[{3,6},{4},{1},{2},{5}]=>[3,6,4,1,2,5]=>[1,3,4,2,6,5]=>[1,4,3,2,6,5]
[{3,5},{6},{1},{2},{4}]=>[3,5,6,1,2,4]=>[1,3,6,4,2,5]=>[1,4,3,6,2,5]
[{3,6},{5},{1},{2},{4}]=>[3,6,5,1,2,4]=>[1,3,5,2,6,4]=>[1,5,3,6,2,4]
[{4,5},{3},{1},{2},{6}]=>[4,5,3,1,2,6]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{4,6},{3},{1},{2},{5}]=>[4,6,3,1,2,5]=>[1,4,2,6,5,3]=>[1,4,5,2,6,3]
[{5,6},{3},{1},{2},{4}]=>[5,6,3,1,2,4]=>[1,5,2,6,4,3]=>[1,5,4,6,2,3]
[{4,5},{6},{1},{2},{3}]=>[4,5,6,1,2,3]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{4,6},{5},{1},{2},{3}]=>[4,6,5,1,2,3]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]
[{5,6},{4},{1},{2},{3}]=>[5,6,4,1,2,3]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]
[{3,4},{5},{1},{6},{2}]=>[3,4,5,1,6,2]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]
[{3,4},{6},{1},{5},{2}]=>[3,4,6,1,5,2]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]
[{3,5},{4},{1},{6},{2}]=>[3,5,4,1,6,2]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]
[{3,6},{4},{1},{5},{2}]=>[3,6,4,1,5,2]=>[1,3,4,2,6,5]=>[1,4,3,2,6,5]
[{3,5},{6},{1},{4},{2}]=>[3,5,6,1,4,2]=>[1,3,6,2,5,4]=>[1,6,3,5,2,4]
[{3,6},{5},{1},{4},{2}]=>[3,6,5,1,4,2]=>[1,3,5,4,2,6]=>[1,4,3,5,2,6]
[{4,5},{3},{1},{6},{2}]=>[4,5,3,1,6,2]=>[1,4,2,5,6,3]=>[1,4,6,2,5,3]
[{4,6},{3},{1},{5},{2}]=>[4,6,3,1,5,2]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]
[{5,6},{3},{1},{4},{2}]=>[5,6,3,1,4,2]=>[1,5,4,2,6,3]=>[1,4,5,6,3,2]
[{4,5},{6},{1},{3},{2}]=>[4,5,6,1,3,2]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{4,6},{5},{1},{3},{2}]=>[4,6,5,1,3,2]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]
[{5,6},{4},{1},{3},{2}]=>[5,6,4,1,3,2]=>[1,5,3,4,2,6]=>[1,4,5,3,2,6]
[{2,3},{4},{5},{1},{6}]=>[2,3,4,5,1,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2,3},{4},{6},{1},{5}]=>[2,3,4,6,1,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{2,3},{5},{4},{1},{6}]=>[2,3,5,4,1,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{2,3},{6},{4},{1},{5}]=>[2,3,6,4,1,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{2,3},{5},{6},{1},{4}]=>[2,3,5,6,1,4]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{2,3},{6},{5},{1},{4}]=>[2,3,6,5,1,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{2,4},{3},{5},{1},{6}]=>[2,4,3,5,1,6]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]
[{2,4},{3},{6},{1},{5}]=>[2,4,3,6,1,5]=>[1,2,4,6,5,3]=>[1,2,5,4,6,3]
[{2,5},{3},{4},{1},{6}]=>[2,5,3,4,1,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{2,6},{3},{4},{1},{5}]=>[2,6,3,4,1,5]=>[1,2,6,5,3,4]=>[1,2,5,3,6,4]
[{2,5},{3},{6},{1},{4}]=>[2,5,3,6,1,4]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{2,6},{3},{5},{1},{4}]=>[2,6,3,5,1,4]=>[1,2,6,4,5,3]=>[1,2,5,6,4,3]
[{2,4},{5},{3},{1},{6}]=>[2,4,5,3,1,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2,4},{6},{3},{1},{5}]=>[2,4,6,3,1,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{2,5},{4},{3},{1},{6}]=>[2,5,4,3,1,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{2,6},{4},{3},{1},{5}]=>[2,6,4,3,1,5]=>[1,2,6,5,3,4]=>[1,2,5,3,6,4]
[{2,5},{6},{3},{1},{4}]=>[2,5,6,3,1,4]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[{2,6},{5},{3},{1},{4}]=>[2,6,5,3,1,4]=>[1,2,6,4,3,5]=>[1,2,4,6,3,5]
[{2,4},{5},{6},{1},{3}]=>[2,4,5,6,1,3]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]
[{2,4},{6},{5},{1},{3}]=>[2,4,6,5,1,3]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]
[{2,5},{4},{6},{1},{3}]=>[2,5,4,6,1,3]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{2,6},{4},{5},{1},{3}]=>[2,6,4,5,1,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{2,5},{6},{4},{1},{3}]=>[2,5,6,4,1,3]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[{2,6},{5},{4},{1},{3}]=>[2,6,5,4,1,3]=>[1,2,6,3,5,4]=>[1,2,6,5,3,4]
[{3,4},{2},{5},{1},{6}]=>[3,4,2,5,1,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3,4},{2},{6},{1},{5}]=>[3,4,2,6,1,5]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]
[{3,5},{2},{4},{1},{6}]=>[3,5,2,4,1,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]
[{3,6},{2},{4},{1},{5}]=>[3,6,2,4,1,5]=>[1,3,2,6,5,4]=>[1,3,2,5,6,4]
[{3,5},{2},{6},{1},{4}]=>[3,5,2,6,1,4]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]
[{3,6},{2},{5},{1},{4}]=>[3,6,2,5,1,4]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]
[{4,5},{2},{3},{1},{6}]=>[4,5,2,3,1,6]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]
[{4,6},{2},{3},{1},{5}]=>[4,6,2,3,1,5]=>[1,4,3,2,6,5]=>[1,3,4,2,6,5]
[{5,6},{2},{3},{1},{4}]=>[5,6,2,3,1,4]=>[1,5,2,6,4,3]=>[1,5,4,6,2,3]
[{4,5},{2},{6},{1},{3}]=>[4,5,2,6,1,3]=>[1,4,6,3,2,5]=>[1,3,6,4,2,5]
[{4,6},{2},{5},{1},{3}]=>[4,6,2,5,1,3]=>[1,4,5,2,6,3]=>[1,5,6,4,2,3]
[{5,6},{2},{4},{1},{3}]=>[5,6,2,4,1,3]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]
[{3,4},{5},{2},{1},{6}]=>[3,4,5,2,1,6]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[{3,4},{6},{2},{1},{5}]=>[3,4,6,2,1,5]=>[1,3,6,5,2,4]=>[1,5,3,2,6,4]
[{3,5},{4},{2},{1},{6}]=>[3,5,4,2,1,6]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]
[{3,6},{4},{2},{1},{5}]=>[3,6,4,2,1,5]=>[1,3,4,2,6,5]=>[1,4,3,2,6,5]
[{3,5},{6},{2},{1},{4}]=>[3,5,6,2,1,4]=>[1,3,6,4,2,5]=>[1,4,3,6,2,5]
[{3,6},{5},{2},{1},{4}]=>[3,6,5,2,1,4]=>[1,3,5,2,6,4]=>[1,5,3,6,2,4]
[{4,5},{3},{2},{1},{6}]=>[4,5,3,2,1,6]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{4,6},{3},{2},{1},{5}]=>[4,6,3,2,1,5]=>[1,4,2,6,5,3]=>[1,4,5,2,6,3]
[{5,6},{3},{2},{1},{4}]=>[5,6,3,2,1,4]=>[1,5,2,6,4,3]=>[1,5,4,6,2,3]
[{4,5},{6},{2},{1},{3}]=>[4,5,6,2,1,3]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{4,6},{5},{2},{1},{3}]=>[4,6,5,2,1,3]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]
[{5,6},{4},{2},{1},{3}]=>[5,6,4,2,1,3]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]
[{3,4},{5},{6},{1},{2}]=>[3,4,5,6,1,2]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[{3,4},{6},{5},{1},{2}]=>[3,4,6,5,1,2]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]
[{3,5},{4},{6},{1},{2}]=>[3,5,4,6,1,2]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]
[{3,6},{4},{5},{1},{2}]=>[3,6,4,5,1,2]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]
[{3,5},{6},{4},{1},{2}]=>[3,5,6,4,1,2]=>[1,3,6,2,5,4]=>[1,6,3,5,2,4]
[{3,6},{5},{4},{1},{2}]=>[3,6,5,4,1,2]=>[1,3,5,2,6,4]=>[1,5,3,6,2,4]
[{4,5},{3},{6},{1},{2}]=>[4,5,3,6,1,2]=>[1,4,6,2,5,3]=>[1,6,5,4,2,3]
[{4,6},{3},{5},{1},{2}]=>[4,6,3,5,1,2]=>[1,4,5,2,6,3]=>[1,5,6,4,2,3]
[{5,6},{3},{4},{1},{2}]=>[5,6,3,4,1,2]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]
[{4,5},{6},{3},{1},{2}]=>[4,5,6,3,1,2]=>[1,4,3,6,2,5]=>[1,6,4,3,2,5]
[{4,6},{5},{3},{1},{2}]=>[4,6,5,3,1,2]=>[1,4,3,5,2,6]=>[1,5,4,3,2,6]
[{5,6},{4},{3},{1},{2}]=>[5,6,4,3,1,2]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]
[{2,3},{4},{5},{6},{1}]=>[2,3,4,5,6,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2,3},{4},{6},{5},{1}]=>[2,3,4,6,5,1]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{2,3},{5},{4},{6},{1}]=>[2,3,5,4,6,1]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]
[{2,3},{6},{4},{5},{1}]=>[2,3,6,4,5,1]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{2,3},{5},{6},{4},{1}]=>[2,3,5,6,4,1]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{2,3},{6},{5},{4},{1}]=>[2,3,6,5,4,1]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{2,4},{3},{5},{6},{1}]=>[2,4,3,5,6,1]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]
[{2,4},{3},{6},{5},{1}]=>[2,4,3,6,5,1]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]
[{2,5},{3},{4},{6},{1}]=>[2,5,3,4,6,1]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]
[{2,6},{3},{4},{5},{1}]=>[2,6,3,4,5,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{2,5},{3},{6},{4},{1}]=>[2,5,3,6,4,1]=>[1,2,5,4,6,3]=>[1,2,6,5,4,3]
[{2,6},{3},{5},{4},{1}]=>[2,6,3,5,4,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{2,4},{5},{3},{6},{1}]=>[2,4,5,3,6,1]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2,4},{6},{3},{5},{1}]=>[2,4,6,3,5,1]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{2,5},{4},{3},{6},{1}]=>[2,5,4,3,6,1]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]
[{2,6},{4},{3},{5},{1}]=>[2,6,4,3,5,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{2,5},{6},{3},{4},{1}]=>[2,5,6,3,4,1]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{2,6},{5},{3},{4},{1}]=>[2,6,5,3,4,1]=>[1,2,6,3,5,4]=>[1,2,6,5,3,4]
[{2,4},{5},{6},{3},{1}]=>[2,4,5,6,3,1]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]
[{2,4},{6},{5},{3},{1}]=>[2,4,6,5,3,1]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]
[{2,5},{4},{6},{3},{1}]=>[2,5,4,6,3,1]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{2,6},{4},{5},{3},{1}]=>[2,6,4,5,3,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{2,5},{6},{4},{3},{1}]=>[2,5,6,4,3,1]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[{2,6},{5},{4},{3},{1}]=>[2,6,5,4,3,1]=>[1,2,6,3,5,4]=>[1,2,6,5,3,4]
[{3,4},{2},{5},{6},{1}]=>[3,4,2,5,6,1]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3,4},{2},{6},{5},{1}]=>[3,4,2,6,5,1]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]
[{3,5},{2},{4},{6},{1}]=>[3,5,2,4,6,1]=>[1,3,2,5,6,4]=>[1,3,2,6,5,4]
[{3,6},{2},{4},{5},{1}]=>[3,6,2,4,5,1]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]
[{3,5},{2},{6},{4},{1}]=>[3,5,2,6,4,1]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]
[{3,6},{2},{5},{4},{1}]=>[3,6,2,5,4,1]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]
[{4,5},{2},{3},{6},{1}]=>[4,5,2,3,6,1]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]
[{4,6},{2},{3},{5},{1}]=>[4,6,2,3,5,1]=>[1,4,3,2,6,5]=>[1,3,4,2,6,5]
[{5,6},{2},{3},{4},{1}]=>[5,6,2,3,4,1]=>[1,5,4,3,2,6]=>[1,3,4,5,2,6]
[{4,5},{2},{6},{3},{1}]=>[4,5,2,6,3,1]=>[1,4,6,2,5,3]=>[1,6,5,4,2,3]
[{4,6},{2},{5},{3},{1}]=>[4,6,2,5,3,1]=>[1,4,5,3,2,6]=>[1,3,5,4,2,6]
[{5,6},{2},{4},{3},{1}]=>[5,6,2,4,3,1]=>[1,5,3,2,6,4]=>[1,3,5,6,2,4]
[{3,4},{5},{2},{6},{1}]=>[3,4,5,2,6,1]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]
[{3,4},{6},{2},{5},{1}]=>[3,4,6,2,5,1]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]
[{3,5},{4},{2},{6},{1}]=>[3,5,4,2,6,1]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]
[{3,6},{4},{2},{5},{1}]=>[3,6,4,2,5,1]=>[1,3,4,2,6,5]=>[1,4,3,2,6,5]
[{3,5},{6},{2},{4},{1}]=>[3,5,6,2,4,1]=>[1,3,6,2,5,4]=>[1,6,3,5,2,4]
[{3,6},{5},{2},{4},{1}]=>[3,6,5,2,4,1]=>[1,3,5,4,2,6]=>[1,4,3,5,2,6]
[{4,5},{3},{2},{6},{1}]=>[4,5,3,2,6,1]=>[1,4,2,5,6,3]=>[1,4,6,2,5,3]
[{4,6},{3},{2},{5},{1}]=>[4,6,3,2,5,1]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]
[{5,6},{3},{2},{4},{1}]=>[5,6,3,2,4,1]=>[1,5,4,2,6,3]=>[1,4,5,6,3,2]
[{4,5},{6},{2},{3},{1}]=>[4,5,6,2,3,1]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{4,6},{5},{2},{3},{1}]=>[4,6,5,2,3,1]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]
[{5,6},{4},{2},{3},{1}]=>[5,6,4,2,3,1]=>[1,5,3,4,2,6]=>[1,4,5,3,2,6]
[{3,4},{5},{6},{2},{1}]=>[3,4,5,6,2,1]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[{3,4},{6},{5},{2},{1}]=>[3,4,6,5,2,1]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]
[{3,5},{4},{6},{2},{1}]=>[3,5,4,6,2,1]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]
[{3,6},{4},{5},{2},{1}]=>[3,6,4,5,2,1]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]
[{3,5},{6},{4},{2},{1}]=>[3,5,6,4,2,1]=>[1,3,6,2,5,4]=>[1,6,3,5,2,4]
[{3,6},{5},{4},{2},{1}]=>[3,6,5,4,2,1]=>[1,3,5,2,6,4]=>[1,5,3,6,2,4]
[{4,5},{3},{6},{2},{1}]=>[4,5,3,6,2,1]=>[1,4,6,2,5,3]=>[1,6,5,4,2,3]
[{4,6},{3},{5},{2},{1}]=>[4,6,3,5,2,1]=>[1,4,5,2,6,3]=>[1,5,6,4,2,3]
[{5,6},{3},{4},{2},{1}]=>[5,6,3,4,2,1]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]
[{4,5},{6},{3},{2},{1}]=>[4,5,6,3,2,1]=>[1,4,3,6,2,5]=>[1,6,4,3,2,5]
[{4,6},{5},{3},{2},{1}]=>[4,6,5,3,2,1]=>[1,4,3,5,2,6]=>[1,5,4,3,2,6]
[{5,6},{4},{3},{2},{1}]=>[5,6,4,3,2,1]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]
[{1,2},{3},{4},{5,6}]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,2},{3},{5},{4,6}]=>[1,2,3,5,4,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,2},{3},{6},{4,5}]=>[1,2,3,6,4,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1,2},{4},{3},{5,6}]=>[1,2,4,3,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,2},{5},{3},{4,6}]=>[1,2,5,3,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1,2},{6},{3},{4,5}]=>[1,2,6,3,4,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{1,2},{4},{5},{3,6}]=>[1,2,4,5,3,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,2},{4},{6},{3,5}]=>[1,2,4,6,3,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1,2},{5},{4},{3,6}]=>[1,2,5,4,3,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1,2},{6},{4},{3,5}]=>[1,2,6,4,3,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{1,2},{5},{6},{3,4}]=>[1,2,5,6,3,4]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1,2},{6},{5},{3,4}]=>[1,2,6,5,3,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{1,3},{2},{4},{5,6}]=>[1,3,2,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,3},{2},{5},{4,6}]=>[1,3,2,5,4,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,3},{2},{6},{4,5}]=>[1,3,2,6,4,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1,4},{2},{3},{5,6}]=>[1,4,2,3,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1,5},{2},{3},{4,6}]=>[1,5,2,3,4,6]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{1,6},{2},{3},{4,5}]=>[1,6,2,3,4,5]=>[1,2,6,5,4,3]=>[1,2,4,5,6,3]
[{1,4},{2},{5},{3,6}]=>[1,4,2,5,3,6]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]
[{1,4},{2},{6},{3,5}]=>[1,4,2,6,3,5]=>[1,2,4,6,5,3]=>[1,2,5,4,6,3]
[{1,5},{2},{4},{3,6}]=>[1,5,2,4,3,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{1,6},{2},{4},{3,5}]=>[1,6,2,4,3,5]=>[1,2,6,5,3,4]=>[1,2,5,3,6,4]
[{1,5},{2},{6},{3,4}]=>[1,5,2,6,3,4]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{1,6},{2},{5},{3,4}]=>[1,6,2,5,3,4]=>[1,2,6,4,5,3]=>[1,2,5,6,4,3]
[{1,3},{4},{2},{5,6}]=>[1,3,4,2,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,3},{5},{2},{4,6}]=>[1,3,5,2,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1,3},{6},{2},{4,5}]=>[1,3,6,2,4,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{1,4},{3},{2},{5,6}]=>[1,4,3,2,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1,5},{3},{2},{4,6}]=>[1,5,3,2,4,6]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{1,6},{3},{2},{4,5}]=>[1,6,3,2,4,5]=>[1,2,6,5,4,3]=>[1,2,4,5,6,3]
[{1,4},{5},{2},{3,6}]=>[1,4,5,2,3,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1,4},{6},{2},{3,5}]=>[1,4,6,2,3,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{1,5},{4},{2},{3,6}]=>[1,5,4,2,3,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{1,6},{4},{2},{3,5}]=>[1,6,4,2,3,5]=>[1,2,6,5,3,4]=>[1,2,5,3,6,4]
[{1,5},{6},{2},{3,4}]=>[1,5,6,2,3,4]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[{1,6},{5},{2},{3,4}]=>[1,6,5,2,3,4]=>[1,2,6,4,3,5]=>[1,2,4,6,3,5]
[{1,3},{4},{5},{2,6}]=>[1,3,4,5,2,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,3},{4},{6},{2,5}]=>[1,3,4,6,2,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1,3},{5},{4},{2,6}]=>[1,3,5,4,2,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1,3},{6},{4},{2,5}]=>[1,3,6,4,2,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{1,3},{5},{6},{2,4}]=>[1,3,5,6,2,4]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1,3},{6},{5},{2,4}]=>[1,3,6,5,2,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{1,4},{3},{5},{2,6}]=>[1,4,3,5,2,6]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]
[{1,4},{3},{6},{2,5}]=>[1,4,3,6,2,5]=>[1,2,4,6,5,3]=>[1,2,5,4,6,3]
[{1,5},{3},{4},{2,6}]=>[1,5,3,4,2,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{1,6},{3},{4},{2,5}]=>[1,6,3,4,2,5]=>[1,2,6,5,3,4]=>[1,2,5,3,6,4]
[{1,5},{3},{6},{2,4}]=>[1,5,3,6,2,4]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{1,6},{3},{5},{2,4}]=>[1,6,3,5,2,4]=>[1,2,6,4,5,3]=>[1,2,5,6,4,3]
[{1,4},{5},{3},{2,6}]=>[1,4,5,3,2,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1,4},{6},{3},{2,5}]=>[1,4,6,3,2,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{1,5},{4},{3},{2,6}]=>[1,5,4,3,2,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{1,6},{4},{3},{2,5}]=>[1,6,4,3,2,5]=>[1,2,6,5,3,4]=>[1,2,5,3,6,4]
[{1,5},{6},{3},{2,4}]=>[1,5,6,3,2,4]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[{1,6},{5},{3},{2,4}]=>[1,6,5,3,2,4]=>[1,2,6,4,3,5]=>[1,2,4,6,3,5]
[{1,4},{5},{6},{2,3}]=>[1,4,5,6,2,3]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]
[{1,4},{6},{5},{2,3}]=>[1,4,6,5,2,3]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]
[{1,5},{4},{6},{2,3}]=>[1,5,4,6,2,3]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{1,6},{4},{5},{2,3}]=>[1,6,4,5,2,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{1,5},{6},{4},{2,3}]=>[1,5,6,4,2,3]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[{1,6},{5},{4},{2,3}]=>[1,6,5,4,2,3]=>[1,2,6,3,5,4]=>[1,2,6,5,3,4]
[{2,3},{1},{4},{5,6}]=>[2,3,1,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2,3},{1},{5},{4,6}]=>[2,3,1,5,4,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2,3},{1},{6},{4,5}]=>[2,3,1,6,4,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{2,4},{1},{3},{5,6}]=>[2,4,1,3,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2,5},{1},{3},{4,6}]=>[2,5,1,3,4,6]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{2,6},{1},{3},{4,5}]=>[2,6,1,3,4,5]=>[1,2,6,5,4,3]=>[1,2,4,5,6,3]
[{2,4},{1},{5},{3,6}]=>[2,4,1,5,3,6]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]
[{2,4},{1},{6},{3,5}]=>[2,4,1,6,3,5]=>[1,2,4,6,5,3]=>[1,2,5,4,6,3]
[{2,5},{1},{4},{3,6}]=>[2,5,1,4,3,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{2,6},{1},{4},{3,5}]=>[2,6,1,4,3,5]=>[1,2,6,5,3,4]=>[1,2,5,3,6,4]
[{2,5},{1},{6},{3,4}]=>[2,5,1,6,3,4]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{2,6},{1},{5},{3,4}]=>[2,6,1,5,3,4]=>[1,2,6,4,5,3]=>[1,2,5,6,4,3]
[{3,4},{1},{2},{5,6}]=>[3,4,1,2,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3,5},{1},{2},{4,6}]=>[3,5,1,2,4,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]
[{3,6},{1},{2},{4,5}]=>[3,6,1,2,4,5]=>[1,3,2,6,5,4]=>[1,3,2,5,6,4]
[{4,5},{1},{2},{3,6}]=>[4,5,1,2,3,6]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{4,6},{1},{2},{3,5}]=>[4,6,1,2,3,5]=>[1,4,2,6,5,3]=>[1,4,5,2,6,3]
[{5,6},{1},{2},{3,4}]=>[5,6,1,2,3,4]=>[1,5,3,2,6,4]=>[1,3,5,6,2,4]
[{3,4},{1},{5},{2,6}]=>[3,4,1,5,2,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3,4},{1},{6},{2,5}]=>[3,4,1,6,2,5]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]
[{3,5},{1},{4},{2,6}]=>[3,5,1,4,2,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]
[{3,6},{1},{4},{2,5}]=>[3,6,1,4,2,5]=>[1,3,2,6,5,4]=>[1,3,2,5,6,4]
[{3,5},{1},{6},{2,4}]=>[3,5,1,6,2,4]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]
[{3,6},{1},{5},{2,4}]=>[3,6,1,5,2,4]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]
[{4,5},{1},{3},{2,6}]=>[4,5,1,3,2,6]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]
[{4,6},{1},{3},{2,5}]=>[4,6,1,3,2,5]=>[1,4,3,2,6,5]=>[1,3,4,2,6,5]
[{5,6},{1},{3},{2,4}]=>[5,6,1,3,2,4]=>[1,5,2,6,4,3]=>[1,5,4,6,2,3]
[{4,5},{1},{6},{2,3}]=>[4,5,1,6,2,3]=>[1,4,6,3,2,5]=>[1,3,6,4,2,5]
[{4,6},{1},{5},{2,3}]=>[4,6,1,5,2,3]=>[1,4,5,2,6,3]=>[1,5,6,4,2,3]
[{5,6},{1},{4},{2,3}]=>[5,6,1,4,2,3]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]
[{2,3},{4},{1},{5,6}]=>[2,3,4,1,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2,3},{5},{1},{4,6}]=>[2,3,5,1,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{2,3},{6},{1},{4,5}]=>[2,3,6,1,4,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{2,4},{3},{1},{5,6}]=>[2,4,3,1,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2,5},{3},{1},{4,6}]=>[2,5,3,1,4,6]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{2,6},{3},{1},{4,5}]=>[2,6,3,1,4,5]=>[1,2,6,5,4,3]=>[1,2,4,5,6,3]
[{2,4},{5},{1},{3,6}]=>[2,4,5,1,3,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2,4},{6},{1},{3,5}]=>[2,4,6,1,3,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{2,5},{4},{1},{3,6}]=>[2,5,4,1,3,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{2,6},{4},{1},{3,5}]=>[2,6,4,1,3,5]=>[1,2,6,5,3,4]=>[1,2,5,3,6,4]
[{2,5},{6},{1},{3,4}]=>[2,5,6,1,3,4]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[{2,6},{5},{1},{3,4}]=>[2,6,5,1,3,4]=>[1,2,6,4,3,5]=>[1,2,4,6,3,5]
[{3,4},{2},{1},{5,6}]=>[3,4,2,1,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3,5},{2},{1},{4,6}]=>[3,5,2,1,4,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]
[{3,6},{2},{1},{4,5}]=>[3,6,2,1,4,5]=>[1,3,2,6,5,4]=>[1,3,2,5,6,4]
[{4,5},{2},{1},{3,6}]=>[4,5,2,1,3,6]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{4,6},{2},{1},{3,5}]=>[4,6,2,1,3,5]=>[1,4,2,6,5,3]=>[1,4,5,2,6,3]
[{5,6},{2},{1},{3,4}]=>[5,6,2,1,3,4]=>[1,5,3,2,6,4]=>[1,3,5,6,2,4]
[{3,4},{5},{1},{2,6}]=>[3,4,5,1,2,6]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[{3,4},{6},{1},{2,5}]=>[3,4,6,1,2,5]=>[1,3,6,5,2,4]=>[1,5,3,2,6,4]
[{3,5},{4},{1},{2,6}]=>[3,5,4,1,2,6]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]
[{3,6},{4},{1},{2,5}]=>[3,6,4,1,2,5]=>[1,3,4,2,6,5]=>[1,4,3,2,6,5]
[{3,5},{6},{1},{2,4}]=>[3,5,6,1,2,4]=>[1,3,6,4,2,5]=>[1,4,3,6,2,5]
[{3,6},{5},{1},{2,4}]=>[3,6,5,1,2,4]=>[1,3,5,2,6,4]=>[1,5,3,6,2,4]
[{4,5},{3},{1},{2,6}]=>[4,5,3,1,2,6]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{4,6},{3},{1},{2,5}]=>[4,6,3,1,2,5]=>[1,4,2,6,5,3]=>[1,4,5,2,6,3]
[{5,6},{3},{1},{2,4}]=>[5,6,3,1,2,4]=>[1,5,2,6,4,3]=>[1,5,4,6,2,3]
[{4,5},{6},{1},{2,3}]=>[4,5,6,1,2,3]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{4,6},{5},{1},{2,3}]=>[4,6,5,1,2,3]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]
[{5,6},{4},{1},{2,3}]=>[5,6,4,1,2,3]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]
[{2,3},{4},{5},{1,6}]=>[2,3,4,5,1,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2,3},{4},{6},{1,5}]=>[2,3,4,6,1,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{2,3},{5},{4},{1,6}]=>[2,3,5,4,1,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{2,3},{6},{4},{1,5}]=>[2,3,6,4,1,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{2,3},{5},{6},{1,4}]=>[2,3,5,6,1,4]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{2,3},{6},{5},{1,4}]=>[2,3,6,5,1,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{2,4},{3},{5},{1,6}]=>[2,4,3,5,1,6]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]
[{2,4},{3},{6},{1,5}]=>[2,4,3,6,1,5]=>[1,2,4,6,5,3]=>[1,2,5,4,6,3]
[{2,5},{3},{4},{1,6}]=>[2,5,3,4,1,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{2,6},{3},{4},{1,5}]=>[2,6,3,4,1,5]=>[1,2,6,5,3,4]=>[1,2,5,3,6,4]
[{2,5},{3},{6},{1,4}]=>[2,5,3,6,1,4]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{2,6},{3},{5},{1,4}]=>[2,6,3,5,1,4]=>[1,2,6,4,5,3]=>[1,2,5,6,4,3]
[{2,4},{5},{3},{1,6}]=>[2,4,5,3,1,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2,4},{6},{3},{1,5}]=>[2,4,6,3,1,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{2,5},{4},{3},{1,6}]=>[2,5,4,3,1,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{2,6},{4},{3},{1,5}]=>[2,6,4,3,1,5]=>[1,2,6,5,3,4]=>[1,2,5,3,6,4]
[{2,5},{6},{3},{1,4}]=>[2,5,6,3,1,4]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[{2,6},{5},{3},{1,4}]=>[2,6,5,3,1,4]=>[1,2,6,4,3,5]=>[1,2,4,6,3,5]
[{2,4},{5},{6},{1,3}]=>[2,4,5,6,1,3]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]
[{2,4},{6},{5},{1,3}]=>[2,4,6,5,1,3]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]
[{2,5},{4},{6},{1,3}]=>[2,5,4,6,1,3]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{2,6},{4},{5},{1,3}]=>[2,6,4,5,1,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{2,5},{6},{4},{1,3}]=>[2,5,6,4,1,3]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[{2,6},{5},{4},{1,3}]=>[2,6,5,4,1,3]=>[1,2,6,3,5,4]=>[1,2,6,5,3,4]
[{3,4},{2},{5},{1,6}]=>[3,4,2,5,1,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3,4},{2},{6},{1,5}]=>[3,4,2,6,1,5]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]
[{3,5},{2},{4},{1,6}]=>[3,5,2,4,1,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]
[{3,6},{2},{4},{1,5}]=>[3,6,2,4,1,5]=>[1,3,2,6,5,4]=>[1,3,2,5,6,4]
[{3,5},{2},{6},{1,4}]=>[3,5,2,6,1,4]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]
[{3,6},{2},{5},{1,4}]=>[3,6,2,5,1,4]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]
[{4,5},{2},{3},{1,6}]=>[4,5,2,3,1,6]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]
[{4,6},{2},{3},{1,5}]=>[4,6,2,3,1,5]=>[1,4,3,2,6,5]=>[1,3,4,2,6,5]
[{5,6},{2},{3},{1,4}]=>[5,6,2,3,1,4]=>[1,5,2,6,4,3]=>[1,5,4,6,2,3]
[{4,5},{2},{6},{1,3}]=>[4,5,2,6,1,3]=>[1,4,6,3,2,5]=>[1,3,6,4,2,5]
[{4,6},{2},{5},{1,3}]=>[4,6,2,5,1,3]=>[1,4,5,2,6,3]=>[1,5,6,4,2,3]
[{5,6},{2},{4},{1,3}]=>[5,6,2,4,1,3]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]
[{3,4},{5},{2},{1,6}]=>[3,4,5,2,1,6]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[{3,4},{6},{2},{1,5}]=>[3,4,6,2,1,5]=>[1,3,6,5,2,4]=>[1,5,3,2,6,4]
[{3,5},{4},{2},{1,6}]=>[3,5,4,2,1,6]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]
[{3,6},{4},{2},{1,5}]=>[3,6,4,2,1,5]=>[1,3,4,2,6,5]=>[1,4,3,2,6,5]
[{3,5},{6},{2},{1,4}]=>[3,5,6,2,1,4]=>[1,3,6,4,2,5]=>[1,4,3,6,2,5]
[{3,6},{5},{2},{1,4}]=>[3,6,5,2,1,4]=>[1,3,5,2,6,4]=>[1,5,3,6,2,4]
[{4,5},{3},{2},{1,6}]=>[4,5,3,2,1,6]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{4,6},{3},{2},{1,5}]=>[4,6,3,2,1,5]=>[1,4,2,6,5,3]=>[1,4,5,2,6,3]
[{5,6},{3},{2},{1,4}]=>[5,6,3,2,1,4]=>[1,5,2,6,4,3]=>[1,5,4,6,2,3]
[{4,5},{6},{2},{1,3}]=>[4,5,6,2,1,3]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{4,6},{5},{2},{1,3}]=>[4,6,5,2,1,3]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]
[{5,6},{4},{2},{1,3}]=>[5,6,4,2,1,3]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]
[{3,4},{5},{6},{1,2}]=>[3,4,5,6,1,2]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[{3,4},{6},{5},{1,2}]=>[3,4,6,5,1,2]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]
[{3,5},{4},{6},{1,2}]=>[3,5,4,6,1,2]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]
[{3,6},{4},{5},{1,2}]=>[3,6,4,5,1,2]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]
[{3,5},{6},{4},{1,2}]=>[3,5,6,4,1,2]=>[1,3,6,2,5,4]=>[1,6,3,5,2,4]
[{3,6},{5},{4},{1,2}]=>[3,6,5,4,1,2]=>[1,3,5,2,6,4]=>[1,5,3,6,2,4]
[{4,5},{3},{6},{1,2}]=>[4,5,3,6,1,2]=>[1,4,6,2,5,3]=>[1,6,5,4,2,3]
[{4,6},{3},{5},{1,2}]=>[4,6,3,5,1,2]=>[1,4,5,2,6,3]=>[1,5,6,4,2,3]
[{5,6},{3},{4},{1,2}]=>[5,6,3,4,1,2]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]
[{4,5},{6},{3},{1,2}]=>[4,5,6,3,1,2]=>[1,4,3,6,2,5]=>[1,6,4,3,2,5]
[{4,6},{5},{3},{1,2}]=>[4,6,5,3,1,2]=>[1,4,3,5,2,6]=>[1,5,4,3,2,6]
[{5,6},{4},{3},{1,2}]=>[5,6,4,3,1,2]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]
[{1,2},{3},{4,5},{6}]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,2},{3},{4,6},{5}]=>[1,2,3,4,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,2},{3},{5,6},{4}]=>[1,2,3,5,6,4]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,2},{4},{3,5},{6}]=>[1,2,4,3,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,2},{4},{3,6},{5}]=>[1,2,4,3,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,2},{5},{3,4},{6}]=>[1,2,5,3,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1,2},{6},{3,4},{5}]=>[1,2,6,3,4,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{1,2},{5},{3,6},{4}]=>[1,2,5,3,6,4]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]
[{1,2},{6},{3,5},{4}]=>[1,2,6,3,5,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{1,2},{4},{5,6},{3}]=>[1,2,4,5,6,3]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,2},{5},{4,6},{3}]=>[1,2,5,4,6,3]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]
[{1,2},{6},{4,5},{3}]=>[1,2,6,4,5,3]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{1,3},{2},{4,5},{6}]=>[1,3,2,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,3},{2},{4,6},{5}]=>[1,3,2,4,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,3},{2},{5,6},{4}]=>[1,3,2,5,6,4]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,4},{2},{3,5},{6}]=>[1,4,2,3,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1,4},{2},{3,6},{5}]=>[1,4,2,3,6,5]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1,5},{2},{3,4},{6}]=>[1,5,2,3,4,6]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{1,6},{2},{3,4},{5}]=>[1,6,2,3,4,5]=>[1,2,6,5,4,3]=>[1,2,4,5,6,3]
[{1,5},{2},{3,6},{4}]=>[1,5,2,3,6,4]=>[1,2,5,6,4,3]=>[1,2,4,6,5,3]
[{1,6},{2},{3,5},{4}]=>[1,6,2,3,5,4]=>[1,2,6,4,3,5]=>[1,2,4,6,3,5]
[{1,4},{2},{5,6},{3}]=>[1,4,2,5,6,3]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]
[{1,5},{2},{4,6},{3}]=>[1,5,2,4,6,3]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]
[{1,6},{2},{4,5},{3}]=>[1,6,2,4,5,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{1,3},{4},{2,5},{6}]=>[1,3,4,2,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,3},{4},{2,6},{5}]=>[1,3,4,2,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,3},{5},{2,4},{6}]=>[1,3,5,2,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1,3},{6},{2,4},{5}]=>[1,3,6,2,4,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{1,3},{5},{2,6},{4}]=>[1,3,5,2,6,4]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]
[{1,3},{6},{2,5},{4}]=>[1,3,6,2,5,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{1,4},{3},{2,5},{6}]=>[1,4,3,2,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1,4},{3},{2,6},{5}]=>[1,4,3,2,6,5]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1,5},{3},{2,4},{6}]=>[1,5,3,2,4,6]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{1,6},{3},{2,4},{5}]=>[1,6,3,2,4,5]=>[1,2,6,5,4,3]=>[1,2,4,5,6,3]
[{1,5},{3},{2,6},{4}]=>[1,5,3,2,6,4]=>[1,2,5,6,4,3]=>[1,2,4,6,5,3]
[{1,6},{3},{2,5},{4}]=>[1,6,3,2,5,4]=>[1,2,6,4,3,5]=>[1,2,4,6,3,5]
[{1,4},{5},{2,3},{6}]=>[1,4,5,2,3,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1,4},{6},{2,3},{5}]=>[1,4,6,2,3,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{1,5},{4},{2,3},{6}]=>[1,5,4,2,3,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{1,6},{4},{2,3},{5}]=>[1,6,4,2,3,5]=>[1,2,6,5,3,4]=>[1,2,5,3,6,4]
[{1,5},{6},{2,3},{4}]=>[1,5,6,2,3,4]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[{1,6},{5},{2,3},{4}]=>[1,6,5,2,3,4]=>[1,2,6,4,3,5]=>[1,2,4,6,3,5]
[{1,4},{5},{2,6},{3}]=>[1,4,5,2,6,3]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1,4},{6},{2,5},{3}]=>[1,4,6,2,5,3]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{1,5},{4},{2,6},{3}]=>[1,5,4,2,6,3]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]
[{1,6},{4},{2,5},{3}]=>[1,6,4,2,5,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{1,5},{6},{2,4},{3}]=>[1,5,6,2,4,3]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{1,6},{5},{2,4},{3}]=>[1,6,5,2,4,3]=>[1,2,6,3,5,4]=>[1,2,6,5,3,4]
[{1,3},{4},{5,6},{2}]=>[1,3,4,5,6,2]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,3},{5},{4,6},{2}]=>[1,3,5,4,6,2]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]
[{1,3},{6},{4,5},{2}]=>[1,3,6,4,5,2]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{1,4},{3},{5,6},{2}]=>[1,4,3,5,6,2]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]
[{1,5},{3},{4,6},{2}]=>[1,5,3,4,6,2]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]
[{1,6},{3},{4,5},{2}]=>[1,6,3,4,5,2]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{1,4},{5},{3,6},{2}]=>[1,4,5,3,6,2]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1,4},{6},{3,5},{2}]=>[1,4,6,3,5,2]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{1,5},{4},{3,6},{2}]=>[1,5,4,3,6,2]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]
[{1,6},{4},{3,5},{2}]=>[1,6,4,3,5,2]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{1,5},{6},{3,4},{2}]=>[1,5,6,3,4,2]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{1,6},{5},{3,4},{2}]=>[1,6,5,3,4,2]=>[1,2,6,3,5,4]=>[1,2,6,5,3,4]
[{2,3},{1},{4,5},{6}]=>[2,3,1,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2,3},{1},{4,6},{5}]=>[2,3,1,4,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2,3},{1},{5,6},{4}]=>[2,3,1,5,6,4]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2,4},{1},{3,5},{6}]=>[2,4,1,3,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2,4},{1},{3,6},{5}]=>[2,4,1,3,6,5]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2,5},{1},{3,4},{6}]=>[2,5,1,3,4,6]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{2,6},{1},{3,4},{5}]=>[2,6,1,3,4,5]=>[1,2,6,5,4,3]=>[1,2,4,5,6,3]
[{2,5},{1},{3,6},{4}]=>[2,5,1,3,6,4]=>[1,2,5,6,4,3]=>[1,2,4,6,5,3]
[{2,6},{1},{3,5},{4}]=>[2,6,1,3,5,4]=>[1,2,6,4,3,5]=>[1,2,4,6,3,5]
[{2,4},{1},{5,6},{3}]=>[2,4,1,5,6,3]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]
[{2,5},{1},{4,6},{3}]=>[2,5,1,4,6,3]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]
[{2,6},{1},{4,5},{3}]=>[2,6,1,4,5,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{3,4},{1},{2,5},{6}]=>[3,4,1,2,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3,4},{1},{2,6},{5}]=>[3,4,1,2,6,5]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3,5},{1},{2,4},{6}]=>[3,5,1,2,4,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]
[{3,6},{1},{2,4},{5}]=>[3,6,1,2,4,5]=>[1,3,2,6,5,4]=>[1,3,2,5,6,4]
[{3,5},{1},{2,6},{4}]=>[3,5,1,2,6,4]=>[1,3,2,5,6,4]=>[1,3,2,6,5,4]
[{3,6},{1},{2,5},{4}]=>[3,6,1,2,5,4]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]
[{4,5},{1},{2,3},{6}]=>[4,5,1,2,3,6]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{4,6},{1},{2,3},{5}]=>[4,6,1,2,3,5]=>[1,4,2,6,5,3]=>[1,4,5,2,6,3]
[{5,6},{1},{2,3},{4}]=>[5,6,1,2,3,4]=>[1,5,3,2,6,4]=>[1,3,5,6,2,4]
[{4,5},{1},{2,6},{3}]=>[4,5,1,2,6,3]=>[1,4,2,5,6,3]=>[1,4,6,2,5,3]
[{4,6},{1},{2,5},{3}]=>[4,6,1,2,5,3]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]
[{5,6},{1},{2,4},{3}]=>[5,6,1,2,4,3]=>[1,5,4,2,6,3]=>[1,4,5,6,3,2]
[{3,4},{1},{5,6},{2}]=>[3,4,1,5,6,2]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3,5},{1},{4,6},{2}]=>[3,5,1,4,6,2]=>[1,3,2,5,6,4]=>[1,3,2,6,5,4]
[{3,6},{1},{4,5},{2}]=>[3,6,1,4,5,2]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]
[{4,5},{1},{3,6},{2}]=>[4,5,1,3,6,2]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]
[{4,6},{1},{3,5},{2}]=>[4,6,1,3,5,2]=>[1,4,3,2,6,5]=>[1,3,4,2,6,5]
[{5,6},{1},{3,4},{2}]=>[5,6,1,3,4,2]=>[1,5,4,3,2,6]=>[1,3,4,5,2,6]
[{2,3},{4},{1,5},{6}]=>[2,3,4,1,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2,3},{4},{1,6},{5}]=>[2,3,4,1,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2,3},{5},{1,4},{6}]=>[2,3,5,1,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{2,3},{6},{1,4},{5}]=>[2,3,6,1,4,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{2,3},{5},{1,6},{4}]=>[2,3,5,1,6,4]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]
[{2,3},{6},{1,5},{4}]=>[2,3,6,1,5,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{2,4},{3},{1,5},{6}]=>[2,4,3,1,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2,4},{3},{1,6},{5}]=>[2,4,3,1,6,5]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2,5},{3},{1,4},{6}]=>[2,5,3,1,4,6]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{2,6},{3},{1,4},{5}]=>[2,6,3,1,4,5]=>[1,2,6,5,4,3]=>[1,2,4,5,6,3]
[{2,5},{3},{1,6},{4}]=>[2,5,3,1,6,4]=>[1,2,5,6,4,3]=>[1,2,4,6,5,3]
[{2,6},{3},{1,5},{4}]=>[2,6,3,1,5,4]=>[1,2,6,4,3,5]=>[1,2,4,6,3,5]
[{2,4},{5},{1,3},{6}]=>[2,4,5,1,3,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2,4},{6},{1,3},{5}]=>[2,4,6,1,3,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{2,5},{4},{1,3},{6}]=>[2,5,4,1,3,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{2,6},{4},{1,3},{5}]=>[2,6,4,1,3,5]=>[1,2,6,5,3,4]=>[1,2,5,3,6,4]
[{2,5},{6},{1,3},{4}]=>[2,5,6,1,3,4]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[{2,6},{5},{1,3},{4}]=>[2,6,5,1,3,4]=>[1,2,6,4,3,5]=>[1,2,4,6,3,5]
[{2,4},{5},{1,6},{3}]=>[2,4,5,1,6,3]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2,4},{6},{1,5},{3}]=>[2,4,6,1,5,3]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{2,5},{4},{1,6},{3}]=>[2,5,4,1,6,3]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]
[{2,6},{4},{1,5},{3}]=>[2,6,4,1,5,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{2,5},{6},{1,4},{3}]=>[2,5,6,1,4,3]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{2,6},{5},{1,4},{3}]=>[2,6,5,1,4,3]=>[1,2,6,3,5,4]=>[1,2,6,5,3,4]
[{3,4},{2},{1,5},{6}]=>[3,4,2,1,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3,4},{2},{1,6},{5}]=>[3,4,2,1,6,5]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3,5},{2},{1,4},{6}]=>[3,5,2,1,4,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]
[{3,6},{2},{1,4},{5}]=>[3,6,2,1,4,5]=>[1,3,2,6,5,4]=>[1,3,2,5,6,4]
[{3,5},{2},{1,6},{4}]=>[3,5,2,1,6,4]=>[1,3,2,5,6,4]=>[1,3,2,6,5,4]
[{3,6},{2},{1,5},{4}]=>[3,6,2,1,5,4]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]
[{4,5},{2},{1,3},{6}]=>[4,5,2,1,3,6]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{4,6},{2},{1,3},{5}]=>[4,6,2,1,3,5]=>[1,4,2,6,5,3]=>[1,4,5,2,6,3]
[{5,6},{2},{1,3},{4}]=>[5,6,2,1,3,4]=>[1,5,3,2,6,4]=>[1,3,5,6,2,4]
[{4,5},{2},{1,6},{3}]=>[4,5,2,1,6,3]=>[1,4,2,5,6,3]=>[1,4,6,2,5,3]
[{4,6},{2},{1,5},{3}]=>[4,6,2,1,5,3]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]
[{5,6},{2},{1,4},{3}]=>[5,6,2,1,4,3]=>[1,5,4,2,6,3]=>[1,4,5,6,3,2]
[{3,4},{5},{1,2},{6}]=>[3,4,5,1,2,6]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[{3,4},{6},{1,2},{5}]=>[3,4,6,1,2,5]=>[1,3,6,5,2,4]=>[1,5,3,2,6,4]
[{3,5},{4},{1,2},{6}]=>[3,5,4,1,2,6]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]
[{3,6},{4},{1,2},{5}]=>[3,6,4,1,2,5]=>[1,3,4,2,6,5]=>[1,4,3,2,6,5]
[{3,5},{6},{1,2},{4}]=>[3,5,6,1,2,4]=>[1,3,6,4,2,5]=>[1,4,3,6,2,5]
[{3,6},{5},{1,2},{4}]=>[3,6,5,1,2,4]=>[1,3,5,2,6,4]=>[1,5,3,6,2,4]
[{4,5},{3},{1,2},{6}]=>[4,5,3,1,2,6]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{4,6},{3},{1,2},{5}]=>[4,6,3,1,2,5]=>[1,4,2,6,5,3]=>[1,4,5,2,6,3]
[{5,6},{3},{1,2},{4}]=>[5,6,3,1,2,4]=>[1,5,2,6,4,3]=>[1,5,4,6,2,3]
[{4,5},{6},{1,2},{3}]=>[4,5,6,1,2,3]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{4,6},{5},{1,2},{3}]=>[4,6,5,1,2,3]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]
[{5,6},{4},{1,2},{3}]=>[5,6,4,1,2,3]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]
[{3,4},{5},{1,6},{2}]=>[3,4,5,1,6,2]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]
[{3,4},{6},{1,5},{2}]=>[3,4,6,1,5,2]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]
[{3,5},{4},{1,6},{2}]=>[3,5,4,1,6,2]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]
[{3,6},{4},{1,5},{2}]=>[3,6,4,1,5,2]=>[1,3,4,2,6,5]=>[1,4,3,2,6,5]
[{3,5},{6},{1,4},{2}]=>[3,5,6,1,4,2]=>[1,3,6,2,5,4]=>[1,6,3,5,2,4]
[{3,6},{5},{1,4},{2}]=>[3,6,5,1,4,2]=>[1,3,5,4,2,6]=>[1,4,3,5,2,6]
[{4,5},{3},{1,6},{2}]=>[4,5,3,1,6,2]=>[1,4,2,5,6,3]=>[1,4,6,2,5,3]
[{4,6},{3},{1,5},{2}]=>[4,6,3,1,5,2]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]
[{5,6},{3},{1,4},{2}]=>[5,6,3,1,4,2]=>[1,5,4,2,6,3]=>[1,4,5,6,3,2]
[{4,5},{6},{1,3},{2}]=>[4,5,6,1,3,2]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{4,6},{5},{1,3},{2}]=>[4,6,5,1,3,2]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]
[{5,6},{4},{1,3},{2}]=>[5,6,4,1,3,2]=>[1,5,3,4,2,6]=>[1,4,5,3,2,6]
[{2,3},{4},{5,6},{1}]=>[2,3,4,5,6,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2,3},{5},{4,6},{1}]=>[2,3,5,4,6,1]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]
[{2,3},{6},{4,5},{1}]=>[2,3,6,4,5,1]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{2,4},{3},{5,6},{1}]=>[2,4,3,5,6,1]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]
[{2,5},{3},{4,6},{1}]=>[2,5,3,4,6,1]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]
[{2,6},{3},{4,5},{1}]=>[2,6,3,4,5,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{2,4},{5},{3,6},{1}]=>[2,4,5,3,6,1]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2,4},{6},{3,5},{1}]=>[2,4,6,3,5,1]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{2,5},{4},{3,6},{1}]=>[2,5,4,3,6,1]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]
[{2,6},{4},{3,5},{1}]=>[2,6,4,3,5,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{2,5},{6},{3,4},{1}]=>[2,5,6,3,4,1]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{2,6},{5},{3,4},{1}]=>[2,6,5,3,4,1]=>[1,2,6,3,5,4]=>[1,2,6,5,3,4]
[{3,4},{2},{5,6},{1}]=>[3,4,2,5,6,1]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3,5},{2},{4,6},{1}]=>[3,5,2,4,6,1]=>[1,3,2,5,6,4]=>[1,3,2,6,5,4]
[{3,6},{2},{4,5},{1}]=>[3,6,2,4,5,1]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]
[{4,5},{2},{3,6},{1}]=>[4,5,2,3,6,1]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]
[{4,6},{2},{3,5},{1}]=>[4,6,2,3,5,1]=>[1,4,3,2,6,5]=>[1,3,4,2,6,5]
[{5,6},{2},{3,4},{1}]=>[5,6,2,3,4,1]=>[1,5,4,3,2,6]=>[1,3,4,5,2,6]
[{3,4},{5},{2,6},{1}]=>[3,4,5,2,6,1]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]
[{3,4},{6},{2,5},{1}]=>[3,4,6,2,5,1]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]
[{3,5},{4},{2,6},{1}]=>[3,5,4,2,6,1]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]
[{3,6},{4},{2,5},{1}]=>[3,6,4,2,5,1]=>[1,3,4,2,6,5]=>[1,4,3,2,6,5]
[{3,5},{6},{2,4},{1}]=>[3,5,6,2,4,1]=>[1,3,6,2,5,4]=>[1,6,3,5,2,4]
[{3,6},{5},{2,4},{1}]=>[3,6,5,2,4,1]=>[1,3,5,4,2,6]=>[1,4,3,5,2,6]
[{4,5},{3},{2,6},{1}]=>[4,5,3,2,6,1]=>[1,4,2,5,6,3]=>[1,4,6,2,5,3]
[{4,6},{3},{2,5},{1}]=>[4,6,3,2,5,1]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]
[{5,6},{3},{2,4},{1}]=>[5,6,3,2,4,1]=>[1,5,4,2,6,3]=>[1,4,5,6,3,2]
[{4,5},{6},{2,3},{1}]=>[4,5,6,2,3,1]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{4,6},{5},{2,3},{1}]=>[4,6,5,2,3,1]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]
[{5,6},{4},{2,3},{1}]=>[5,6,4,2,3,1]=>[1,5,3,4,2,6]=>[1,4,5,3,2,6]
[{1,2},{3},{4,5,6}]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,2},{4},{3,5,6}]=>[1,2,4,3,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,2},{5},{3,4,6}]=>[1,2,5,3,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1,2},{6},{3,4,5}]=>[1,2,6,3,4,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{1,3},{2},{4,5,6}]=>[1,3,2,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,4},{2},{3,5,6}]=>[1,4,2,3,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1,5},{2},{3,4,6}]=>[1,5,2,3,4,6]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{1,6},{2},{3,4,5}]=>[1,6,2,3,4,5]=>[1,2,6,5,4,3]=>[1,2,4,5,6,3]
[{1,3},{4},{2,5,6}]=>[1,3,4,2,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,3},{5},{2,4,6}]=>[1,3,5,2,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1,3},{6},{2,4,5}]=>[1,3,6,2,4,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{1,4},{3},{2,5,6}]=>[1,4,3,2,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1,5},{3},{2,4,6}]=>[1,5,3,2,4,6]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{1,6},{3},{2,4,5}]=>[1,6,3,2,4,5]=>[1,2,6,5,4,3]=>[1,2,4,5,6,3]
[{1,4},{5},{2,3,6}]=>[1,4,5,2,3,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1,4},{6},{2,3,5}]=>[1,4,6,2,3,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{1,5},{4},{2,3,6}]=>[1,5,4,2,3,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{1,6},{4},{2,3,5}]=>[1,6,4,2,3,5]=>[1,2,6,5,3,4]=>[1,2,5,3,6,4]
[{1,5},{6},{2,3,4}]=>[1,5,6,2,3,4]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[{1,6},{5},{2,3,4}]=>[1,6,5,2,3,4]=>[1,2,6,4,3,5]=>[1,2,4,6,3,5]
[{2,3},{1},{4,5,6}]=>[2,3,1,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2,4},{1},{3,5,6}]=>[2,4,1,3,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2,5},{1},{3,4,6}]=>[2,5,1,3,4,6]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{2,6},{1},{3,4,5}]=>[2,6,1,3,4,5]=>[1,2,6,5,4,3]=>[1,2,4,5,6,3]
[{3,4},{1},{2,5,6}]=>[3,4,1,2,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3,5},{1},{2,4,6}]=>[3,5,1,2,4,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]
[{3,6},{1},{2,4,5}]=>[3,6,1,2,4,5]=>[1,3,2,6,5,4]=>[1,3,2,5,6,4]
[{4,5},{1},{2,3,6}]=>[4,5,1,2,3,6]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{4,6},{1},{2,3,5}]=>[4,6,1,2,3,5]=>[1,4,2,6,5,3]=>[1,4,5,2,6,3]
[{5,6},{1},{2,3,4}]=>[5,6,1,2,3,4]=>[1,5,3,2,6,4]=>[1,3,5,6,2,4]
[{2,3},{4},{1,5,6}]=>[2,3,4,1,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2,3},{5},{1,4,6}]=>[2,3,5,1,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{2,3},{6},{1,4,5}]=>[2,3,6,1,4,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{2,4},{3},{1,5,6}]=>[2,4,3,1,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2,5},{3},{1,4,6}]=>[2,5,3,1,4,6]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{2,6},{3},{1,4,5}]=>[2,6,3,1,4,5]=>[1,2,6,5,4,3]=>[1,2,4,5,6,3]
[{2,4},{5},{1,3,6}]=>[2,4,5,1,3,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2,4},{6},{1,3,5}]=>[2,4,6,1,3,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{2,5},{4},{1,3,6}]=>[2,5,4,1,3,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{2,6},{4},{1,3,5}]=>[2,6,4,1,3,5]=>[1,2,6,5,3,4]=>[1,2,5,3,6,4]
[{2,5},{6},{1,3,4}]=>[2,5,6,1,3,4]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[{2,6},{5},{1,3,4}]=>[2,6,5,1,3,4]=>[1,2,6,4,3,5]=>[1,2,4,6,3,5]
[{3,4},{2},{1,5,6}]=>[3,4,2,1,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3,5},{2},{1,4,6}]=>[3,5,2,1,4,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]
[{3,6},{2},{1,4,5}]=>[3,6,2,1,4,5]=>[1,3,2,6,5,4]=>[1,3,2,5,6,4]
[{4,5},{2},{1,3,6}]=>[4,5,2,1,3,6]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{4,6},{2},{1,3,5}]=>[4,6,2,1,3,5]=>[1,4,2,6,5,3]=>[1,4,5,2,6,3]
[{5,6},{2},{1,3,4}]=>[5,6,2,1,3,4]=>[1,5,3,2,6,4]=>[1,3,5,6,2,4]
[{3,4},{5},{1,2,6}]=>[3,4,5,1,2,6]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[{3,4},{6},{1,2,5}]=>[3,4,6,1,2,5]=>[1,3,6,5,2,4]=>[1,5,3,2,6,4]
[{3,5},{4},{1,2,6}]=>[3,5,4,1,2,6]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]
[{3,6},{4},{1,2,5}]=>[3,6,4,1,2,5]=>[1,3,4,2,6,5]=>[1,4,3,2,6,5]
[{3,5},{6},{1,2,4}]=>[3,5,6,1,2,4]=>[1,3,6,4,2,5]=>[1,4,3,6,2,5]
[{3,6},{5},{1,2,4}]=>[3,6,5,1,2,4]=>[1,3,5,2,6,4]=>[1,5,3,6,2,4]
[{4,5},{3},{1,2,6}]=>[4,5,3,1,2,6]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{4,6},{3},{1,2,5}]=>[4,6,3,1,2,5]=>[1,4,2,6,5,3]=>[1,4,5,2,6,3]
[{5,6},{3},{1,2,4}]=>[5,6,3,1,2,4]=>[1,5,2,6,4,3]=>[1,5,4,6,2,3]
[{4,5},{6},{1,2,3}]=>[4,5,6,1,2,3]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{4,6},{5},{1,2,3}]=>[4,6,5,1,2,3]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]
[{5,6},{4},{1,2,3}]=>[5,6,4,1,2,3]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]
[{1,2},{3,4},{5},{6}]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,2},{3,4},{6},{5}]=>[1,2,3,4,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,2},{3,5},{4},{6}]=>[1,2,3,5,4,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,2},{3,6},{4},{5}]=>[1,2,3,6,4,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1,2},{3,5},{6},{4}]=>[1,2,3,5,6,4]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,2},{3,6},{5},{4}]=>[1,2,3,6,5,4]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1,2},{4,5},{3},{6}]=>[1,2,4,5,3,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,2},{4,6},{3},{5}]=>[1,2,4,6,3,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1,2},{5,6},{3},{4}]=>[1,2,5,6,3,4]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1,2},{4,5},{6},{3}]=>[1,2,4,5,6,3]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,2},{4,6},{5},{3}]=>[1,2,4,6,5,3]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1,2},{5,6},{4},{3}]=>[1,2,5,6,4,3]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1,3},{2,4},{5},{6}]=>[1,3,2,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,3},{2,4},{6},{5}]=>[1,3,2,4,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,3},{2,5},{4},{6}]=>[1,3,2,5,4,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,3},{2,6},{4},{5}]=>[1,3,2,6,4,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1,3},{2,5},{6},{4}]=>[1,3,2,5,6,4]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,3},{2,6},{5},{4}]=>[1,3,2,6,5,4]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1,4},{2,3},{5},{6}]=>[1,4,2,3,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1,4},{2,3},{6},{5}]=>[1,4,2,3,6,5]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1,5},{2,3},{4},{6}]=>[1,5,2,3,4,6]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{1,6},{2,3},{4},{5}]=>[1,6,2,3,4,5]=>[1,2,6,5,4,3]=>[1,2,4,5,6,3]
[{1,5},{2,3},{6},{4}]=>[1,5,2,3,6,4]=>[1,2,5,6,4,3]=>[1,2,4,6,5,3]
[{1,6},{2,3},{5},{4}]=>[1,6,2,3,5,4]=>[1,2,6,4,3,5]=>[1,2,4,6,3,5]
[{1,4},{2,5},{3},{6}]=>[1,4,2,5,3,6]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]
[{1,4},{2,6},{3},{5}]=>[1,4,2,6,3,5]=>[1,2,4,6,5,3]=>[1,2,5,4,6,3]
[{1,5},{2,4},{3},{6}]=>[1,5,2,4,3,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{1,6},{2,4},{3},{5}]=>[1,6,2,4,3,5]=>[1,2,6,5,3,4]=>[1,2,5,3,6,4]
[{1,5},{2,6},{3},{4}]=>[1,5,2,6,3,4]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{1,6},{2,5},{3},{4}]=>[1,6,2,5,3,4]=>[1,2,6,4,5,3]=>[1,2,5,6,4,3]
[{1,4},{2,5},{6},{3}]=>[1,4,2,5,6,3]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]
[{1,4},{2,6},{5},{3}]=>[1,4,2,6,5,3]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]
[{1,5},{2,4},{6},{3}]=>[1,5,2,4,6,3]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]
[{1,6},{2,4},{5},{3}]=>[1,6,2,4,5,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{1,5},{2,6},{4},{3}]=>[1,5,2,6,4,3]=>[1,2,5,4,6,3]=>[1,2,6,5,4,3]
[{1,6},{2,5},{4},{3}]=>[1,6,2,5,4,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{1,3},{4,5},{2},{6}]=>[1,3,4,5,2,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,3},{4,6},{2},{5}]=>[1,3,4,6,2,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1,3},{5,6},{2},{4}]=>[1,3,5,6,2,4]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1,4},{3,5},{2},{6}]=>[1,4,3,5,2,6]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]
[{1,4},{3,6},{2},{5}]=>[1,4,3,6,2,5]=>[1,2,4,6,5,3]=>[1,2,5,4,6,3]
[{1,5},{3,4},{2},{6}]=>[1,5,3,4,2,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{1,6},{3,4},{2},{5}]=>[1,6,3,4,2,5]=>[1,2,6,5,3,4]=>[1,2,5,3,6,4]
[{1,5},{3,6},{2},{4}]=>[1,5,3,6,2,4]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{1,6},{3,5},{2},{4}]=>[1,6,3,5,2,4]=>[1,2,6,4,5,3]=>[1,2,5,6,4,3]
[{1,4},{5,6},{2},{3}]=>[1,4,5,6,2,3]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]
[{1,5},{4,6},{2},{3}]=>[1,5,4,6,2,3]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{1,6},{4,5},{2},{3}]=>[1,6,4,5,2,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{1,3},{4,5},{6},{2}]=>[1,3,4,5,6,2]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,3},{4,6},{5},{2}]=>[1,3,4,6,5,2]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1,3},{5,6},{4},{2}]=>[1,3,5,6,4,2]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1,4},{3,5},{6},{2}]=>[1,4,3,5,6,2]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]
[{1,4},{3,6},{5},{2}]=>[1,4,3,6,5,2]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]
[{1,5},{3,4},{6},{2}]=>[1,5,3,4,6,2]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]
[{1,6},{3,4},{5},{2}]=>[1,6,3,4,5,2]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{1,5},{3,6},{4},{2}]=>[1,5,3,6,4,2]=>[1,2,5,4,6,3]=>[1,2,6,5,4,3]
[{1,6},{3,5},{4},{2}]=>[1,6,3,5,4,2]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{1,4},{5,6},{3},{2}]=>[1,4,5,6,3,2]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]
[{1,5},{4,6},{3},{2}]=>[1,5,4,6,3,2]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{1,6},{4,5},{3},{2}]=>[1,6,4,5,3,2]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{2,3},{1,4},{5},{6}]=>[2,3,1,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2,3},{1,4},{6},{5}]=>[2,3,1,4,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2,3},{1,5},{4},{6}]=>[2,3,1,5,4,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2,3},{1,6},{4},{5}]=>[2,3,1,6,4,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{2,3},{1,5},{6},{4}]=>[2,3,1,5,6,4]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2,3},{1,6},{5},{4}]=>[2,3,1,6,5,4]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{2,4},{1,3},{5},{6}]=>[2,4,1,3,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2,4},{1,3},{6},{5}]=>[2,4,1,3,6,5]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2,5},{1,3},{4},{6}]=>[2,5,1,3,4,6]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{2,6},{1,3},{4},{5}]=>[2,6,1,3,4,5]=>[1,2,6,5,4,3]=>[1,2,4,5,6,3]
[{2,5},{1,3},{6},{4}]=>[2,5,1,3,6,4]=>[1,2,5,6,4,3]=>[1,2,4,6,5,3]
[{2,6},{1,3},{5},{4}]=>[2,6,1,3,5,4]=>[1,2,6,4,3,5]=>[1,2,4,6,3,5]
[{2,4},{1,5},{3},{6}]=>[2,4,1,5,3,6]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]
[{2,4},{1,6},{3},{5}]=>[2,4,1,6,3,5]=>[1,2,4,6,5,3]=>[1,2,5,4,6,3]
[{2,5},{1,4},{3},{6}]=>[2,5,1,4,3,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{2,6},{1,4},{3},{5}]=>[2,6,1,4,3,5]=>[1,2,6,5,3,4]=>[1,2,5,3,6,4]
[{2,5},{1,6},{3},{4}]=>[2,5,1,6,3,4]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{2,6},{1,5},{3},{4}]=>[2,6,1,5,3,4]=>[1,2,6,4,5,3]=>[1,2,5,6,4,3]
[{2,4},{1,5},{6},{3}]=>[2,4,1,5,6,3]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]
[{2,4},{1,6},{5},{3}]=>[2,4,1,6,5,3]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]
[{2,5},{1,4},{6},{3}]=>[2,5,1,4,6,3]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]
[{2,6},{1,4},{5},{3}]=>[2,6,1,4,5,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{2,5},{1,6},{4},{3}]=>[2,5,1,6,4,3]=>[1,2,5,4,6,3]=>[1,2,6,5,4,3]
[{2,6},{1,5},{4},{3}]=>[2,6,1,5,4,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{3,4},{1,2},{5},{6}]=>[3,4,1,2,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3,4},{1,2},{6},{5}]=>[3,4,1,2,6,5]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3,5},{1,2},{4},{6}]=>[3,5,1,2,4,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]
[{3,6},{1,2},{4},{5}]=>[3,6,1,2,4,5]=>[1,3,2,6,5,4]=>[1,3,2,5,6,4]
[{3,5},{1,2},{6},{4}]=>[3,5,1,2,6,4]=>[1,3,2,5,6,4]=>[1,3,2,6,5,4]
[{3,6},{1,2},{5},{4}]=>[3,6,1,2,5,4]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]
[{4,5},{1,2},{3},{6}]=>[4,5,1,2,3,6]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{4,6},{1,2},{3},{5}]=>[4,6,1,2,3,5]=>[1,4,2,6,5,3]=>[1,4,5,2,6,3]
[{5,6},{1,2},{3},{4}]=>[5,6,1,2,3,4]=>[1,5,3,2,6,4]=>[1,3,5,6,2,4]
[{4,5},{1,2},{6},{3}]=>[4,5,1,2,6,3]=>[1,4,2,5,6,3]=>[1,4,6,2,5,3]
[{4,6},{1,2},{5},{3}]=>[4,6,1,2,5,3]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]
[{5,6},{1,2},{4},{3}]=>[5,6,1,2,4,3]=>[1,5,4,2,6,3]=>[1,4,5,6,3,2]
[{3,4},{1,5},{2},{6}]=>[3,4,1,5,2,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3,4},{1,6},{2},{5}]=>[3,4,1,6,2,5]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]
[{3,5},{1,4},{2},{6}]=>[3,5,1,4,2,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]
[{3,6},{1,4},{2},{5}]=>[3,6,1,4,2,5]=>[1,3,2,6,5,4]=>[1,3,2,5,6,4]
[{3,5},{1,6},{2},{4}]=>[3,5,1,6,2,4]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]
[{3,6},{1,5},{2},{4}]=>[3,6,1,5,2,4]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]
[{4,5},{1,3},{2},{6}]=>[4,5,1,3,2,6]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]
[{4,6},{1,3},{2},{5}]=>[4,6,1,3,2,5]=>[1,4,3,2,6,5]=>[1,3,4,2,6,5]
[{5,6},{1,3},{2},{4}]=>[5,6,1,3,2,4]=>[1,5,2,6,4,3]=>[1,5,4,6,2,3]
[{4,5},{1,6},{2},{3}]=>[4,5,1,6,2,3]=>[1,4,6,3,2,5]=>[1,3,6,4,2,5]
[{4,6},{1,5},{2},{3}]=>[4,6,1,5,2,3]=>[1,4,5,2,6,3]=>[1,5,6,4,2,3]
[{5,6},{1,4},{2},{3}]=>[5,6,1,4,2,3]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]
[{3,4},{1,5},{6},{2}]=>[3,4,1,5,6,2]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3,4},{1,6},{5},{2}]=>[3,4,1,6,5,2]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]
[{3,5},{1,4},{6},{2}]=>[3,5,1,4,6,2]=>[1,3,2,5,6,4]=>[1,3,2,6,5,4]
[{3,6},{1,4},{5},{2}]=>[3,6,1,4,5,2]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]
[{3,5},{1,6},{4},{2}]=>[3,5,1,6,4,2]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]
[{3,6},{1,5},{4},{2}]=>[3,6,1,5,4,2]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]
[{4,5},{1,3},{6},{2}]=>[4,5,1,3,6,2]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]
[{4,6},{1,3},{5},{2}]=>[4,6,1,3,5,2]=>[1,4,3,2,6,5]=>[1,3,4,2,6,5]
[{5,6},{1,3},{4},{2}]=>[5,6,1,3,4,2]=>[1,5,4,3,2,6]=>[1,3,4,5,2,6]
[{4,5},{1,6},{3},{2}]=>[4,5,1,6,3,2]=>[1,4,6,2,5,3]=>[1,6,5,4,2,3]
[{4,6},{1,5},{3},{2}]=>[4,6,1,5,3,2]=>[1,4,5,3,2,6]=>[1,3,5,4,2,6]
[{5,6},{1,4},{3},{2}]=>[5,6,1,4,3,2]=>[1,5,3,2,6,4]=>[1,3,5,6,2,4]
[{2,3},{4,5},{1},{6}]=>[2,3,4,5,1,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2,3},{4,6},{1},{5}]=>[2,3,4,6,1,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{2,3},{5,6},{1},{4}]=>[2,3,5,6,1,4]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{2,4},{3,5},{1},{6}]=>[2,4,3,5,1,6]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]
[{2,4},{3,6},{1},{5}]=>[2,4,3,6,1,5]=>[1,2,4,6,5,3]=>[1,2,5,4,6,3]
[{2,5},{3,4},{1},{6}]=>[2,5,3,4,1,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{2,6},{3,4},{1},{5}]=>[2,6,3,4,1,5]=>[1,2,6,5,3,4]=>[1,2,5,3,6,4]
[{2,5},{3,6},{1},{4}]=>[2,5,3,6,1,4]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{2,6},{3,5},{1},{4}]=>[2,6,3,5,1,4]=>[1,2,6,4,5,3]=>[1,2,5,6,4,3]
[{2,4},{5,6},{1},{3}]=>[2,4,5,6,1,3]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]
[{2,5},{4,6},{1},{3}]=>[2,5,4,6,1,3]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{2,6},{4,5},{1},{3}]=>[2,6,4,5,1,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{3,4},{2,5},{1},{6}]=>[3,4,2,5,1,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3,4},{2,6},{1},{5}]=>[3,4,2,6,1,5]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]
[{3,5},{2,4},{1},{6}]=>[3,5,2,4,1,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]
[{3,6},{2,4},{1},{5}]=>[3,6,2,4,1,5]=>[1,3,2,6,5,4]=>[1,3,2,5,6,4]
[{3,5},{2,6},{1},{4}]=>[3,5,2,6,1,4]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]
[{3,6},{2,5},{1},{4}]=>[3,6,2,5,1,4]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]
[{4,5},{2,3},{1},{6}]=>[4,5,2,3,1,6]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]
[{4,6},{2,3},{1},{5}]=>[4,6,2,3,1,5]=>[1,4,3,2,6,5]=>[1,3,4,2,6,5]
[{5,6},{2,3},{1},{4}]=>[5,6,2,3,1,4]=>[1,5,2,6,4,3]=>[1,5,4,6,2,3]
[{4,5},{2,6},{1},{3}]=>[4,5,2,6,1,3]=>[1,4,6,3,2,5]=>[1,3,6,4,2,5]
[{4,6},{2,5},{1},{3}]=>[4,6,2,5,1,3]=>[1,4,5,2,6,3]=>[1,5,6,4,2,3]
[{5,6},{2,4},{1},{3}]=>[5,6,2,4,1,3]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]
[{3,4},{5,6},{1},{2}]=>[3,4,5,6,1,2]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[{3,5},{4,6},{1},{2}]=>[3,5,4,6,1,2]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]
[{3,6},{4,5},{1},{2}]=>[3,6,4,5,1,2]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]
[{4,5},{3,6},{1},{2}]=>[4,5,3,6,1,2]=>[1,4,6,2,5,3]=>[1,6,5,4,2,3]
[{4,6},{3,5},{1},{2}]=>[4,6,3,5,1,2]=>[1,4,5,2,6,3]=>[1,5,6,4,2,3]
[{5,6},{3,4},{1},{2}]=>[5,6,3,4,1,2]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]
[{2,3},{4,5},{6},{1}]=>[2,3,4,5,6,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2,3},{4,6},{5},{1}]=>[2,3,4,6,5,1]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{2,3},{5,6},{4},{1}]=>[2,3,5,6,4,1]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{2,4},{3,5},{6},{1}]=>[2,4,3,5,6,1]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]
[{2,4},{3,6},{5},{1}]=>[2,4,3,6,5,1]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]
[{2,5},{3,4},{6},{1}]=>[2,5,3,4,6,1]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]
[{2,6},{3,4},{5},{1}]=>[2,6,3,4,5,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{2,5},{3,6},{4},{1}]=>[2,5,3,6,4,1]=>[1,2,5,4,6,3]=>[1,2,6,5,4,3]
[{2,6},{3,5},{4},{1}]=>[2,6,3,5,4,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{2,4},{5,6},{3},{1}]=>[2,4,5,6,3,1]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]
[{2,5},{4,6},{3},{1}]=>[2,5,4,6,3,1]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{2,6},{4,5},{3},{1}]=>[2,6,4,5,3,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{3,4},{2,5},{6},{1}]=>[3,4,2,5,6,1]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3,4},{2,6},{5},{1}]=>[3,4,2,6,5,1]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]
[{3,5},{2,4},{6},{1}]=>[3,5,2,4,6,1]=>[1,3,2,5,6,4]=>[1,3,2,6,5,4]
[{3,6},{2,4},{5},{1}]=>[3,6,2,4,5,1]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]
[{3,5},{2,6},{4},{1}]=>[3,5,2,6,4,1]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]
[{3,6},{2,5},{4},{1}]=>[3,6,2,5,4,1]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]
[{4,5},{2,3},{6},{1}]=>[4,5,2,3,6,1]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]
[{4,6},{2,3},{5},{1}]=>[4,6,2,3,5,1]=>[1,4,3,2,6,5]=>[1,3,4,2,6,5]
[{5,6},{2,3},{4},{1}]=>[5,6,2,3,4,1]=>[1,5,4,3,2,6]=>[1,3,4,5,2,6]
[{4,5},{2,6},{3},{1}]=>[4,5,2,6,3,1]=>[1,4,6,2,5,3]=>[1,6,5,4,2,3]
[{4,6},{2,5},{3},{1}]=>[4,6,2,5,3,1]=>[1,4,5,3,2,6]=>[1,3,5,4,2,6]
[{5,6},{2,4},{3},{1}]=>[5,6,2,4,3,1]=>[1,5,3,2,6,4]=>[1,3,5,6,2,4]
[{3,4},{5,6},{2},{1}]=>[3,4,5,6,2,1]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[{3,5},{4,6},{2},{1}]=>[3,5,4,6,2,1]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]
[{3,6},{4,5},{2},{1}]=>[3,6,4,5,2,1]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]
[{4,5},{3,6},{2},{1}]=>[4,5,3,6,2,1]=>[1,4,6,2,5,3]=>[1,6,5,4,2,3]
[{4,6},{3,5},{2},{1}]=>[4,6,3,5,2,1]=>[1,4,5,2,6,3]=>[1,5,6,4,2,3]
[{5,6},{3,4},{2},{1}]=>[5,6,3,4,2,1]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]
[{1,2},{3,4},{5,6}]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,2},{3,5},{4,6}]=>[1,2,3,5,4,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,2},{3,6},{4,5}]=>[1,2,3,6,4,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1,2},{4,5},{3,6}]=>[1,2,4,5,3,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,2},{4,6},{3,5}]=>[1,2,4,6,3,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1,2},{5,6},{3,4}]=>[1,2,5,6,3,4]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1,3},{2,4},{5,6}]=>[1,3,2,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,3},{2,5},{4,6}]=>[1,3,2,5,4,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,3},{2,6},{4,5}]=>[1,3,2,6,4,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1,4},{2,3},{5,6}]=>[1,4,2,3,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1,5},{2,3},{4,6}]=>[1,5,2,3,4,6]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{1,6},{2,3},{4,5}]=>[1,6,2,3,4,5]=>[1,2,6,5,4,3]=>[1,2,4,5,6,3]
[{1,4},{2,5},{3,6}]=>[1,4,2,5,3,6]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]
[{1,4},{2,6},{3,5}]=>[1,4,2,6,3,5]=>[1,2,4,6,5,3]=>[1,2,5,4,6,3]
[{1,5},{2,4},{3,6}]=>[1,5,2,4,3,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{1,6},{2,4},{3,5}]=>[1,6,2,4,3,5]=>[1,2,6,5,3,4]=>[1,2,5,3,6,4]
[{1,5},{2,6},{3,4}]=>[1,5,2,6,3,4]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{1,6},{2,5},{3,4}]=>[1,6,2,5,3,4]=>[1,2,6,4,5,3]=>[1,2,5,6,4,3]
[{1,3},{4,5},{2,6}]=>[1,3,4,5,2,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,3},{4,6},{2,5}]=>[1,3,4,6,2,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1,3},{5,6},{2,4}]=>[1,3,5,6,2,4]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1,4},{3,5},{2,6}]=>[1,4,3,5,2,6]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]
[{1,4},{3,6},{2,5}]=>[1,4,3,6,2,5]=>[1,2,4,6,5,3]=>[1,2,5,4,6,3]
[{1,5},{3,4},{2,6}]=>[1,5,3,4,2,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{1,6},{3,4},{2,5}]=>[1,6,3,4,2,5]=>[1,2,6,5,3,4]=>[1,2,5,3,6,4]
[{1,5},{3,6},{2,4}]=>[1,5,3,6,2,4]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{1,6},{3,5},{2,4}]=>[1,6,3,5,2,4]=>[1,2,6,4,5,3]=>[1,2,5,6,4,3]
[{1,4},{5,6},{2,3}]=>[1,4,5,6,2,3]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]
[{1,5},{4,6},{2,3}]=>[1,5,4,6,2,3]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{1,6},{4,5},{2,3}]=>[1,6,4,5,2,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{2,3},{1,4},{5,6}]=>[2,3,1,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2,3},{1,5},{4,6}]=>[2,3,1,5,4,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2,3},{1,6},{4,5}]=>[2,3,1,6,4,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{2,4},{1,3},{5,6}]=>[2,4,1,3,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2,5},{1,3},{4,6}]=>[2,5,1,3,4,6]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{2,6},{1,3},{4,5}]=>[2,6,1,3,4,5]=>[1,2,6,5,4,3]=>[1,2,4,5,6,3]
[{2,4},{1,5},{3,6}]=>[2,4,1,5,3,6]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]
[{2,4},{1,6},{3,5}]=>[2,4,1,6,3,5]=>[1,2,4,6,5,3]=>[1,2,5,4,6,3]
[{2,5},{1,4},{3,6}]=>[2,5,1,4,3,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{2,6},{1,4},{3,5}]=>[2,6,1,4,3,5]=>[1,2,6,5,3,4]=>[1,2,5,3,6,4]
[{2,5},{1,6},{3,4}]=>[2,5,1,6,3,4]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{2,6},{1,5},{3,4}]=>[2,6,1,5,3,4]=>[1,2,6,4,5,3]=>[1,2,5,6,4,3]
[{3,4},{1,2},{5,6}]=>[3,4,1,2,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3,5},{1,2},{4,6}]=>[3,5,1,2,4,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]
[{3,6},{1,2},{4,5}]=>[3,6,1,2,4,5]=>[1,3,2,6,5,4]=>[1,3,2,5,6,4]
[{4,5},{1,2},{3,6}]=>[4,5,1,2,3,6]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{4,6},{1,2},{3,5}]=>[4,6,1,2,3,5]=>[1,4,2,6,5,3]=>[1,4,5,2,6,3]
[{5,6},{1,2},{3,4}]=>[5,6,1,2,3,4]=>[1,5,3,2,6,4]=>[1,3,5,6,2,4]
[{3,4},{1,5},{2,6}]=>[3,4,1,5,2,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3,4},{1,6},{2,5}]=>[3,4,1,6,2,5]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]
[{3,5},{1,4},{2,6}]=>[3,5,1,4,2,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]
[{3,6},{1,4},{2,5}]=>[3,6,1,4,2,5]=>[1,3,2,6,5,4]=>[1,3,2,5,6,4]
[{3,5},{1,6},{2,4}]=>[3,5,1,6,2,4]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]
[{3,6},{1,5},{2,4}]=>[3,6,1,5,2,4]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]
[{4,5},{1,3},{2,6}]=>[4,5,1,3,2,6]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]
[{4,6},{1,3},{2,5}]=>[4,6,1,3,2,5]=>[1,4,3,2,6,5]=>[1,3,4,2,6,5]
[{5,6},{1,3},{2,4}]=>[5,6,1,3,2,4]=>[1,5,2,6,4,3]=>[1,5,4,6,2,3]
[{4,5},{1,6},{2,3}]=>[4,5,1,6,2,3]=>[1,4,6,3,2,5]=>[1,3,6,4,2,5]
[{4,6},{1,5},{2,3}]=>[4,6,1,5,2,3]=>[1,4,5,2,6,3]=>[1,5,6,4,2,3]
[{5,6},{1,4},{2,3}]=>[5,6,1,4,2,3]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]
[{2,3},{4,5},{1,6}]=>[2,3,4,5,1,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2,3},{4,6},{1,5}]=>[2,3,4,6,1,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{2,3},{5,6},{1,4}]=>[2,3,5,6,1,4]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{2,4},{3,5},{1,6}]=>[2,4,3,5,1,6]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]
[{2,4},{3,6},{1,5}]=>[2,4,3,6,1,5]=>[1,2,4,6,5,3]=>[1,2,5,4,6,3]
[{2,5},{3,4},{1,6}]=>[2,5,3,4,1,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{2,6},{3,4},{1,5}]=>[2,6,3,4,1,5]=>[1,2,6,5,3,4]=>[1,2,5,3,6,4]
[{2,5},{3,6},{1,4}]=>[2,5,3,6,1,4]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{2,6},{3,5},{1,4}]=>[2,6,3,5,1,4]=>[1,2,6,4,5,3]=>[1,2,5,6,4,3]
[{2,4},{5,6},{1,3}]=>[2,4,5,6,1,3]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]
[{2,5},{4,6},{1,3}]=>[2,5,4,6,1,3]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[{2,6},{4,5},{1,3}]=>[2,6,4,5,1,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{3,4},{2,5},{1,6}]=>[3,4,2,5,1,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3,4},{2,6},{1,5}]=>[3,4,2,6,1,5]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]
[{3,5},{2,4},{1,6}]=>[3,5,2,4,1,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]
[{3,6},{2,4},{1,5}]=>[3,6,2,4,1,5]=>[1,3,2,6,5,4]=>[1,3,2,5,6,4]
[{3,5},{2,6},{1,4}]=>[3,5,2,6,1,4]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]
[{3,6},{2,5},{1,4}]=>[3,6,2,5,1,4]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]
[{4,5},{2,3},{1,6}]=>[4,5,2,3,1,6]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]
[{4,6},{2,3},{1,5}]=>[4,6,2,3,1,5]=>[1,4,3,2,6,5]=>[1,3,4,2,6,5]
[{5,6},{2,3},{1,4}]=>[5,6,2,3,1,4]=>[1,5,2,6,4,3]=>[1,5,4,6,2,3]
[{4,5},{2,6},{1,3}]=>[4,5,2,6,1,3]=>[1,4,6,3,2,5]=>[1,3,6,4,2,5]
[{4,6},{2,5},{1,3}]=>[4,6,2,5,1,3]=>[1,4,5,2,6,3]=>[1,5,6,4,2,3]
[{5,6},{2,4},{1,3}]=>[5,6,2,4,1,3]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]
[{3,4},{5,6},{1,2}]=>[3,4,5,6,1,2]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[{3,5},{4,6},{1,2}]=>[3,5,4,6,1,2]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]
[{3,6},{4,5},{1,2}]=>[3,6,4,5,1,2]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]
[{4,5},{3,6},{1,2}]=>[4,5,3,6,1,2]=>[1,4,6,2,5,3]=>[1,6,5,4,2,3]
[{4,6},{3,5},{1,2}]=>[4,6,3,5,1,2]=>[1,4,5,2,6,3]=>[1,5,6,4,2,3]
[{5,6},{3,4},{1,2}]=>[5,6,3,4,1,2]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]
[{1,2},{3,4,5},{6}]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,2},{3,4,6},{5}]=>[1,2,3,4,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,2},{3,5,6},{4}]=>[1,2,3,5,6,4]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,2},{4,5,6},{3}]=>[1,2,4,5,6,3]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,3},{2,4,5},{6}]=>[1,3,2,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,3},{2,4,6},{5}]=>[1,3,2,4,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,3},{2,5,6},{4}]=>[1,3,2,5,6,4]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,4},{2,3,5},{6}]=>[1,4,2,3,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1,4},{2,3,6},{5}]=>[1,4,2,3,6,5]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1,5},{2,3,4},{6}]=>[1,5,2,3,4,6]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{1,6},{2,3,4},{5}]=>[1,6,2,3,4,5]=>[1,2,6,5,4,3]=>[1,2,4,5,6,3]
[{1,5},{2,3,6},{4}]=>[1,5,2,3,6,4]=>[1,2,5,6,4,3]=>[1,2,4,6,5,3]
[{1,6},{2,3,5},{4}]=>[1,6,2,3,5,4]=>[1,2,6,4,3,5]=>[1,2,4,6,3,5]
[{1,4},{2,5,6},{3}]=>[1,4,2,5,6,3]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]
[{1,5},{2,4,6},{3}]=>[1,5,2,4,6,3]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]
[{1,6},{2,4,5},{3}]=>[1,6,2,4,5,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{1,3},{4,5,6},{2}]=>[1,3,4,5,6,2]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,4},{3,5,6},{2}]=>[1,4,3,5,6,2]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]
[{1,5},{3,4,6},{2}]=>[1,5,3,4,6,2]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]
[{1,6},{3,4,5},{2}]=>[1,6,3,4,5,2]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{2,3},{1,4,5},{6}]=>[2,3,1,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2,3},{1,4,6},{5}]=>[2,3,1,4,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2,3},{1,5,6},{4}]=>[2,3,1,5,6,4]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2,4},{1,3,5},{6}]=>[2,4,1,3,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2,4},{1,3,6},{5}]=>[2,4,1,3,6,5]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2,5},{1,3,4},{6}]=>[2,5,1,3,4,6]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{2,6},{1,3,4},{5}]=>[2,6,1,3,4,5]=>[1,2,6,5,4,3]=>[1,2,4,5,6,3]
[{2,5},{1,3,6},{4}]=>[2,5,1,3,6,4]=>[1,2,5,6,4,3]=>[1,2,4,6,5,3]
[{2,6},{1,3,5},{4}]=>[2,6,1,3,5,4]=>[1,2,6,4,3,5]=>[1,2,4,6,3,5]
[{2,4},{1,5,6},{3}]=>[2,4,1,5,6,3]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]
[{2,5},{1,4,6},{3}]=>[2,5,1,4,6,3]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]
[{2,6},{1,4,5},{3}]=>[2,6,1,4,5,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{3,4},{1,2,5},{6}]=>[3,4,1,2,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3,4},{1,2,6},{5}]=>[3,4,1,2,6,5]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3,5},{1,2,4},{6}]=>[3,5,1,2,4,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]
[{3,6},{1,2,4},{5}]=>[3,6,1,2,4,5]=>[1,3,2,6,5,4]=>[1,3,2,5,6,4]
[{3,5},{1,2,6},{4}]=>[3,5,1,2,6,4]=>[1,3,2,5,6,4]=>[1,3,2,6,5,4]
[{3,6},{1,2,5},{4}]=>[3,6,1,2,5,4]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]
[{4,5},{1,2,3},{6}]=>[4,5,1,2,3,6]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{4,6},{1,2,3},{5}]=>[4,6,1,2,3,5]=>[1,4,2,6,5,3]=>[1,4,5,2,6,3]
[{5,6},{1,2,3},{4}]=>[5,6,1,2,3,4]=>[1,5,3,2,6,4]=>[1,3,5,6,2,4]
[{4,5},{1,2,6},{3}]=>[4,5,1,2,6,3]=>[1,4,2,5,6,3]=>[1,4,6,2,5,3]
[{4,6},{1,2,5},{3}]=>[4,6,1,2,5,3]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]
[{5,6},{1,2,4},{3}]=>[5,6,1,2,4,3]=>[1,5,4,2,6,3]=>[1,4,5,6,3,2]
[{3,4},{1,5,6},{2}]=>[3,4,1,5,6,2]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3,5},{1,4,6},{2}]=>[3,5,1,4,6,2]=>[1,3,2,5,6,4]=>[1,3,2,6,5,4]
[{3,6},{1,4,5},{2}]=>[3,6,1,4,5,2]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]
[{4,5},{1,3,6},{2}]=>[4,5,1,3,6,2]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]
[{4,6},{1,3,5},{2}]=>[4,6,1,3,5,2]=>[1,4,3,2,6,5]=>[1,3,4,2,6,5]
[{5,6},{1,3,4},{2}]=>[5,6,1,3,4,2]=>[1,5,4,3,2,6]=>[1,3,4,5,2,6]
[{2,3},{4,5,6},{1}]=>[2,3,4,5,6,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2,4},{3,5,6},{1}]=>[2,4,3,5,6,1]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]
[{2,5},{3,4,6},{1}]=>[2,5,3,4,6,1]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]
[{2,6},{3,4,5},{1}]=>[2,6,3,4,5,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[{3,4},{2,5,6},{1}]=>[3,4,2,5,6,1]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3,5},{2,4,6},{1}]=>[3,5,2,4,6,1]=>[1,3,2,5,6,4]=>[1,3,2,6,5,4]
[{3,6},{2,4,5},{1}]=>[3,6,2,4,5,1]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]
[{4,5},{2,3,6},{1}]=>[4,5,2,3,6,1]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]
[{4,6},{2,3,5},{1}]=>[4,6,2,3,5,1]=>[1,4,3,2,6,5]=>[1,3,4,2,6,5]
[{5,6},{2,3,4},{1}]=>[5,6,2,3,4,1]=>[1,5,4,3,2,6]=>[1,3,4,5,2,6]
[{1,2},{3,4,5,6}]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,3},{2,4,5,6}]=>[1,3,2,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,4},{2,3,5,6}]=>[1,4,2,3,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1,5},{2,3,4,6}]=>[1,5,2,3,4,6]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{1,6},{2,3,4,5}]=>[1,6,2,3,4,5]=>[1,2,6,5,4,3]=>[1,2,4,5,6,3]
[{2,3},{1,4,5,6}]=>[2,3,1,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2,4},{1,3,5,6}]=>[2,4,1,3,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2,5},{1,3,4,6}]=>[2,5,1,3,4,6]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{2,6},{1,3,4,5}]=>[2,6,1,3,4,5]=>[1,2,6,5,4,3]=>[1,2,4,5,6,3]
[{3,4},{1,2,5,6}]=>[3,4,1,2,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[{3,5},{1,2,4,6}]=>[3,5,1,2,4,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]
[{3,6},{1,2,4,5}]=>[3,6,1,2,4,5]=>[1,3,2,6,5,4]=>[1,3,2,5,6,4]
[{4,5},{1,2,3,6}]=>[4,5,1,2,3,6]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{4,6},{1,2,3,5}]=>[4,6,1,2,3,5]=>[1,4,2,6,5,3]=>[1,4,5,2,6,3]
[{5,6},{1,2,3,4}]=>[5,6,1,2,3,4]=>[1,5,3,2,6,4]=>[1,3,5,6,2,4]
[{1,2,3},{4},{5},{6}]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,2,3},{4},{6},{5}]=>[1,2,3,4,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,2,3},{5},{4},{6}]=>[1,2,3,5,4,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,2,3},{6},{4},{5}]=>[1,2,3,6,4,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1,2,3},{5},{6},{4}]=>[1,2,3,5,6,4]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,2,3},{6},{5},{4}]=>[1,2,3,6,5,4]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1,2,4},{3},{5},{6}]=>[1,2,4,3,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,2,4},{3},{6},{5}]=>[1,2,4,3,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,2,5},{3},{4},{6}]=>[1,2,5,3,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1,2,6},{3},{4},{5}]=>[1,2,6,3,4,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{1,2,5},{3},{6},{4}]=>[1,2,5,3,6,4]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]
[{1,2,6},{3},{5},{4}]=>[1,2,6,3,5,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{1,2,4},{5},{3},{6}]=>[1,2,4,5,3,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,2,4},{6},{3},{5}]=>[1,2,4,6,3,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1,2,5},{4},{3},{6}]=>[1,2,5,4,3,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1,2,6},{4},{3},{5}]=>[1,2,6,4,3,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{1,2,5},{6},{3},{4}]=>[1,2,5,6,3,4]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1,2,6},{5},{3},{4}]=>[1,2,6,5,3,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{1,2,4},{5},{6},{3}]=>[1,2,4,5,6,3]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,2,4},{6},{5},{3}]=>[1,2,4,6,5,3]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1,2,5},{4},{6},{3}]=>[1,2,5,4,6,3]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]
[{1,2,6},{4},{5},{3}]=>[1,2,6,4,5,3]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{1,2,5},{6},{4},{3}]=>[1,2,5,6,4,3]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1,2,6},{5},{4},{3}]=>[1,2,6,5,4,3]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{1,3,4},{2},{5},{6}]=>[1,3,4,2,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,3,4},{2},{6},{5}]=>[1,3,4,2,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,3,5},{2},{4},{6}]=>[1,3,5,2,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1,3,6},{2},{4},{5}]=>[1,3,6,2,4,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{1,3,5},{2},{6},{4}]=>[1,3,5,2,6,4]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]
[{1,3,6},{2},{5},{4}]=>[1,3,6,2,5,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{1,4,5},{2},{3},{6}]=>[1,4,5,2,3,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1,4,6},{2},{3},{5}]=>[1,4,6,2,3,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{1,5,6},{2},{3},{4}]=>[1,5,6,2,3,4]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[{1,4,5},{2},{6},{3}]=>[1,4,5,2,6,3]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1,4,6},{2},{5},{3}]=>[1,4,6,2,5,3]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{1,5,6},{2},{4},{3}]=>[1,5,6,2,4,3]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{1,3,4},{5},{2},{6}]=>[1,3,4,5,2,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,3,4},{6},{2},{5}]=>[1,3,4,6,2,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1,3,5},{4},{2},{6}]=>[1,3,5,4,2,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1,3,6},{4},{2},{5}]=>[1,3,6,4,2,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{1,3,5},{6},{2},{4}]=>[1,3,5,6,2,4]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1,3,6},{5},{2},{4}]=>[1,3,6,5,2,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{1,4,5},{3},{2},{6}]=>[1,4,5,3,2,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1,4,6},{3},{2},{5}]=>[1,4,6,3,2,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{1,5,6},{3},{2},{4}]=>[1,5,6,3,2,4]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[{1,4,5},{6},{2},{3}]=>[1,4,5,6,2,3]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]
[{1,4,6},{5},{2},{3}]=>[1,4,6,5,2,3]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]
[{1,5,6},{4},{2},{3}]=>[1,5,6,4,2,3]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[{1,3,4},{5},{6},{2}]=>[1,3,4,5,6,2]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,3,4},{6},{5},{2}]=>[1,3,4,6,5,2]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1,3,5},{4},{6},{2}]=>[1,3,5,4,6,2]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]
[{1,3,6},{4},{5},{2}]=>[1,3,6,4,5,2]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{1,3,5},{6},{4},{2}]=>[1,3,5,6,4,2]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1,3,6},{5},{4},{2}]=>[1,3,6,5,4,2]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{1,4,5},{3},{6},{2}]=>[1,4,5,3,6,2]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1,4,6},{3},{5},{2}]=>[1,4,6,3,5,2]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{1,5,6},{3},{4},{2}]=>[1,5,6,3,4,2]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{1,4,5},{6},{3},{2}]=>[1,4,5,6,3,2]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]
[{1,4,6},{5},{3},{2}]=>[1,4,6,5,3,2]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]
[{1,5,6},{4},{3},{2}]=>[1,5,6,4,3,2]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[{2,3,4},{1},{5},{6}]=>[2,3,4,1,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2,3,4},{1},{6},{5}]=>[2,3,4,1,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2,3,5},{1},{4},{6}]=>[2,3,5,1,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{2,3,6},{1},{4},{5}]=>[2,3,6,1,4,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{2,3,5},{1},{6},{4}]=>[2,3,5,1,6,4]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]
[{2,3,6},{1},{5},{4}]=>[2,3,6,1,5,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{2,4,5},{1},{3},{6}]=>[2,4,5,1,3,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2,4,6},{1},{3},{5}]=>[2,4,6,1,3,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{2,5,6},{1},{3},{4}]=>[2,5,6,1,3,4]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[{2,4,5},{1},{6},{3}]=>[2,4,5,1,6,3]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2,4,6},{1},{5},{3}]=>[2,4,6,1,5,3]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{2,5,6},{1},{4},{3}]=>[2,5,6,1,4,3]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{3,4,5},{1},{2},{6}]=>[3,4,5,1,2,6]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[{3,4,6},{1},{2},{5}]=>[3,4,6,1,2,5]=>[1,3,6,5,2,4]=>[1,5,3,2,6,4]
[{3,5,6},{1},{2},{4}]=>[3,5,6,1,2,4]=>[1,3,6,4,2,5]=>[1,4,3,6,2,5]
[{4,5,6},{1},{2},{3}]=>[4,5,6,1,2,3]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{3,4,5},{1},{6},{2}]=>[3,4,5,1,6,2]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]
[{3,4,6},{1},{5},{2}]=>[3,4,6,1,5,2]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]
[{3,5,6},{1},{4},{2}]=>[3,5,6,1,4,2]=>[1,3,6,2,5,4]=>[1,6,3,5,2,4]
[{4,5,6},{1},{3},{2}]=>[4,5,6,1,3,2]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{2,3,4},{5},{1},{6}]=>[2,3,4,5,1,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2,3,4},{6},{1},{5}]=>[2,3,4,6,1,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{2,3,5},{4},{1},{6}]=>[2,3,5,4,1,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{2,3,6},{4},{1},{5}]=>[2,3,6,4,1,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{2,3,5},{6},{1},{4}]=>[2,3,5,6,1,4]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{2,3,6},{5},{1},{4}]=>[2,3,6,5,1,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{2,4,5},{3},{1},{6}]=>[2,4,5,3,1,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2,4,6},{3},{1},{5}]=>[2,4,6,3,1,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{2,5,6},{3},{1},{4}]=>[2,5,6,3,1,4]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[{2,4,5},{6},{1},{3}]=>[2,4,5,6,1,3]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]
[{2,4,6},{5},{1},{3}]=>[2,4,6,5,1,3]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]
[{2,5,6},{4},{1},{3}]=>[2,5,6,4,1,3]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[{3,4,5},{2},{1},{6}]=>[3,4,5,2,1,6]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[{3,4,6},{2},{1},{5}]=>[3,4,6,2,1,5]=>[1,3,6,5,2,4]=>[1,5,3,2,6,4]
[{3,5,6},{2},{1},{4}]=>[3,5,6,2,1,4]=>[1,3,6,4,2,5]=>[1,4,3,6,2,5]
[{4,5,6},{2},{1},{3}]=>[4,5,6,2,1,3]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{3,4,5},{6},{1},{2}]=>[3,4,5,6,1,2]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[{3,4,6},{5},{1},{2}]=>[3,4,6,5,1,2]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]
[{3,5,6},{4},{1},{2}]=>[3,5,6,4,1,2]=>[1,3,6,2,5,4]=>[1,6,3,5,2,4]
[{4,5,6},{3},{1},{2}]=>[4,5,6,3,1,2]=>[1,4,3,6,2,5]=>[1,6,4,3,2,5]
[{2,3,4},{5},{6},{1}]=>[2,3,4,5,6,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2,3,4},{6},{5},{1}]=>[2,3,4,6,5,1]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{2,3,5},{4},{6},{1}]=>[2,3,5,4,6,1]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]
[{2,3,6},{4},{5},{1}]=>[2,3,6,4,5,1]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{2,3,5},{6},{4},{1}]=>[2,3,5,6,4,1]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{2,3,6},{5},{4},{1}]=>[2,3,6,5,4,1]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{2,4,5},{3},{6},{1}]=>[2,4,5,3,6,1]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2,4,6},{3},{5},{1}]=>[2,4,6,3,5,1]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{2,5,6},{3},{4},{1}]=>[2,5,6,3,4,1]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{2,4,5},{6},{3},{1}]=>[2,4,5,6,3,1]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]
[{2,4,6},{5},{3},{1}]=>[2,4,6,5,3,1]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]
[{2,5,6},{4},{3},{1}]=>[2,5,6,4,3,1]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[{3,4,5},{2},{6},{1}]=>[3,4,5,2,6,1]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]
[{3,4,6},{2},{5},{1}]=>[3,4,6,2,5,1]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]
[{3,5,6},{2},{4},{1}]=>[3,5,6,2,4,1]=>[1,3,6,2,5,4]=>[1,6,3,5,2,4]
[{4,5,6},{2},{3},{1}]=>[4,5,6,2,3,1]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{3,4,5},{6},{2},{1}]=>[3,4,5,6,2,1]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[{3,4,6},{5},{2},{1}]=>[3,4,6,5,2,1]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]
[{3,5,6},{4},{2},{1}]=>[3,5,6,4,2,1]=>[1,3,6,2,5,4]=>[1,6,3,5,2,4]
[{4,5,6},{3},{2},{1}]=>[4,5,6,3,2,1]=>[1,4,3,6,2,5]=>[1,6,4,3,2,5]
[{1,2,3},{4},{5,6}]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,2,3},{5},{4,6}]=>[1,2,3,5,4,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,2,3},{6},{4,5}]=>[1,2,3,6,4,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1,2,4},{3},{5,6}]=>[1,2,4,3,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,2,5},{3},{4,6}]=>[1,2,5,3,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1,2,6},{3},{4,5}]=>[1,2,6,3,4,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{1,2,4},{5},{3,6}]=>[1,2,4,5,3,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,2,4},{6},{3,5}]=>[1,2,4,6,3,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1,2,5},{4},{3,6}]=>[1,2,5,4,3,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1,2,6},{4},{3,5}]=>[1,2,6,4,3,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{1,2,5},{6},{3,4}]=>[1,2,5,6,3,4]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1,2,6},{5},{3,4}]=>[1,2,6,5,3,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{1,3,4},{2},{5,6}]=>[1,3,4,2,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,3,5},{2},{4,6}]=>[1,3,5,2,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1,3,6},{2},{4,5}]=>[1,3,6,2,4,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{1,4,5},{2},{3,6}]=>[1,4,5,2,3,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1,4,6},{2},{3,5}]=>[1,4,6,2,3,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{1,5,6},{2},{3,4}]=>[1,5,6,2,3,4]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[{1,3,4},{5},{2,6}]=>[1,3,4,5,2,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,3,4},{6},{2,5}]=>[1,3,4,6,2,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1,3,5},{4},{2,6}]=>[1,3,5,4,2,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1,3,6},{4},{2,5}]=>[1,3,6,4,2,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{1,3,5},{6},{2,4}]=>[1,3,5,6,2,4]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1,3,6},{5},{2,4}]=>[1,3,6,5,2,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{1,4,5},{3},{2,6}]=>[1,4,5,3,2,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1,4,6},{3},{2,5}]=>[1,4,6,3,2,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{1,5,6},{3},{2,4}]=>[1,5,6,3,2,4]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[{1,4,5},{6},{2,3}]=>[1,4,5,6,2,3]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]
[{1,4,6},{5},{2,3}]=>[1,4,6,5,2,3]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]
[{1,5,6},{4},{2,3}]=>[1,5,6,4,2,3]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[{2,3,4},{1},{5,6}]=>[2,3,4,1,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2,3,5},{1},{4,6}]=>[2,3,5,1,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{2,3,6},{1},{4,5}]=>[2,3,6,1,4,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{2,4,5},{1},{3,6}]=>[2,4,5,1,3,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2,4,6},{1},{3,5}]=>[2,4,6,1,3,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{2,5,6},{1},{3,4}]=>[2,5,6,1,3,4]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[{3,4,5},{1},{2,6}]=>[3,4,5,1,2,6]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[{3,4,6},{1},{2,5}]=>[3,4,6,1,2,5]=>[1,3,6,5,2,4]=>[1,5,3,2,6,4]
[{3,5,6},{1},{2,4}]=>[3,5,6,1,2,4]=>[1,3,6,4,2,5]=>[1,4,3,6,2,5]
[{4,5,6},{1},{2,3}]=>[4,5,6,1,2,3]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{2,3,4},{5},{1,6}]=>[2,3,4,5,1,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2,3,4},{6},{1,5}]=>[2,3,4,6,1,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{2,3,5},{4},{1,6}]=>[2,3,5,4,1,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{2,3,6},{4},{1,5}]=>[2,3,6,4,1,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{2,3,5},{6},{1,4}]=>[2,3,5,6,1,4]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{2,3,6},{5},{1,4}]=>[2,3,6,5,1,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{2,4,5},{3},{1,6}]=>[2,4,5,3,1,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2,4,6},{3},{1,5}]=>[2,4,6,3,1,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{2,5,6},{3},{1,4}]=>[2,5,6,3,1,4]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[{2,4,5},{6},{1,3}]=>[2,4,5,6,1,3]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]
[{2,4,6},{5},{1,3}]=>[2,4,6,5,1,3]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]
[{2,5,6},{4},{1,3}]=>[2,5,6,4,1,3]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[{3,4,5},{2},{1,6}]=>[3,4,5,2,1,6]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[{3,4,6},{2},{1,5}]=>[3,4,6,2,1,5]=>[1,3,6,5,2,4]=>[1,5,3,2,6,4]
[{3,5,6},{2},{1,4}]=>[3,5,6,2,1,4]=>[1,3,6,4,2,5]=>[1,4,3,6,2,5]
[{4,5,6},{2},{1,3}]=>[4,5,6,2,1,3]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{3,4,5},{6},{1,2}]=>[3,4,5,6,1,2]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[{3,4,6},{5},{1,2}]=>[3,4,6,5,1,2]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]
[{3,5,6},{4},{1,2}]=>[3,5,6,4,1,2]=>[1,3,6,2,5,4]=>[1,6,3,5,2,4]
[{4,5,6},{3},{1,2}]=>[4,5,6,3,1,2]=>[1,4,3,6,2,5]=>[1,6,4,3,2,5]
[{1,2,3},{4,5},{6}]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,2,3},{4,6},{5}]=>[1,2,3,4,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,2,3},{5,6},{4}]=>[1,2,3,5,6,4]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,2,4},{3,5},{6}]=>[1,2,4,3,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,2,4},{3,6},{5}]=>[1,2,4,3,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,2,5},{3,4},{6}]=>[1,2,5,3,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1,2,6},{3,4},{5}]=>[1,2,6,3,4,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{1,2,5},{3,6},{4}]=>[1,2,5,3,6,4]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]
[{1,2,6},{3,5},{4}]=>[1,2,6,3,5,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{1,2,4},{5,6},{3}]=>[1,2,4,5,6,3]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,2,5},{4,6},{3}]=>[1,2,5,4,6,3]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]
[{1,2,6},{4,5},{3}]=>[1,2,6,4,5,3]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{1,3,4},{2,5},{6}]=>[1,3,4,2,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,3,4},{2,6},{5}]=>[1,3,4,2,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,3,5},{2,4},{6}]=>[1,3,5,2,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1,3,6},{2,4},{5}]=>[1,3,6,2,4,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{1,3,5},{2,6},{4}]=>[1,3,5,2,6,4]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]
[{1,3,6},{2,5},{4}]=>[1,3,6,2,5,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{1,4,5},{2,3},{6}]=>[1,4,5,2,3,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1,4,6},{2,3},{5}]=>[1,4,6,2,3,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{1,5,6},{2,3},{4}]=>[1,5,6,2,3,4]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[{1,4,5},{2,6},{3}]=>[1,4,5,2,6,3]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1,4,6},{2,5},{3}]=>[1,4,6,2,5,3]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{1,5,6},{2,4},{3}]=>[1,5,6,2,4,3]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{1,3,4},{5,6},{2}]=>[1,3,4,5,6,2]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,3,5},{4,6},{2}]=>[1,3,5,4,6,2]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]
[{1,3,6},{4,5},{2}]=>[1,3,6,4,5,2]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{1,4,5},{3,6},{2}]=>[1,4,5,3,6,2]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1,4,6},{3,5},{2}]=>[1,4,6,3,5,2]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{1,5,6},{3,4},{2}]=>[1,5,6,3,4,2]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{2,3,4},{1,5},{6}]=>[2,3,4,1,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2,3,4},{1,6},{5}]=>[2,3,4,1,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2,3,5},{1,4},{6}]=>[2,3,5,1,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{2,3,6},{1,4},{5}]=>[2,3,6,1,4,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{2,3,5},{1,6},{4}]=>[2,3,5,1,6,4]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]
[{2,3,6},{1,5},{4}]=>[2,3,6,1,5,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{2,4,5},{1,3},{6}]=>[2,4,5,1,3,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2,4,6},{1,3},{5}]=>[2,4,6,1,3,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{2,5,6},{1,3},{4}]=>[2,5,6,1,3,4]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[{2,4,5},{1,6},{3}]=>[2,4,5,1,6,3]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2,4,6},{1,5},{3}]=>[2,4,6,1,5,3]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{2,5,6},{1,4},{3}]=>[2,5,6,1,4,3]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{3,4,5},{1,2},{6}]=>[3,4,5,1,2,6]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[{3,4,6},{1,2},{5}]=>[3,4,6,1,2,5]=>[1,3,6,5,2,4]=>[1,5,3,2,6,4]
[{3,5,6},{1,2},{4}]=>[3,5,6,1,2,4]=>[1,3,6,4,2,5]=>[1,4,3,6,2,5]
[{4,5,6},{1,2},{3}]=>[4,5,6,1,2,3]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{3,4,5},{1,6},{2}]=>[3,4,5,1,6,2]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]
[{3,4,6},{1,5},{2}]=>[3,4,6,1,5,2]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]
[{3,5,6},{1,4},{2}]=>[3,5,6,1,4,2]=>[1,3,6,2,5,4]=>[1,6,3,5,2,4]
[{4,5,6},{1,3},{2}]=>[4,5,6,1,3,2]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{2,3,4},{5,6},{1}]=>[2,3,4,5,6,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2,3,5},{4,6},{1}]=>[2,3,5,4,6,1]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]
[{2,3,6},{4,5},{1}]=>[2,3,6,4,5,1]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[{2,4,5},{3,6},{1}]=>[2,4,5,3,6,1]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2,4,6},{3,5},{1}]=>[2,4,6,3,5,1]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{2,5,6},{3,4},{1}]=>[2,5,6,3,4,1]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[{3,4,5},{2,6},{1}]=>[3,4,5,2,6,1]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]
[{3,4,6},{2,5},{1}]=>[3,4,6,2,5,1]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]
[{3,5,6},{2,4},{1}]=>[3,5,6,2,4,1]=>[1,3,6,2,5,4]=>[1,6,3,5,2,4]
[{4,5,6},{2,3},{1}]=>[4,5,6,2,3,1]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{1,2,3},{4,5,6}]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,2,4},{3,5,6}]=>[1,2,4,3,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,2,5},{3,4,6}]=>[1,2,5,3,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1,2,6},{3,4,5}]=>[1,2,6,3,4,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{1,3,4},{2,5,6}]=>[1,3,4,2,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,3,5},{2,4,6}]=>[1,3,5,2,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1,3,6},{2,4,5}]=>[1,3,6,2,4,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{1,4,5},{2,3,6}]=>[1,4,5,2,3,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{1,4,6},{2,3,5}]=>[1,4,6,2,3,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{1,5,6},{2,3,4}]=>[1,5,6,2,3,4]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[{2,3,4},{1,5,6}]=>[2,3,4,1,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2,3,5},{1,4,6}]=>[2,3,5,1,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{2,3,6},{1,4,5}]=>[2,3,6,1,4,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[{2,4,5},{1,3,6}]=>[2,4,5,1,3,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[{2,4,6},{1,3,5}]=>[2,4,6,1,3,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[{2,5,6},{1,3,4}]=>[2,5,6,1,3,4]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[{3,4,5},{1,2,6}]=>[3,4,5,1,2,6]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[{3,4,6},{1,2,5}]=>[3,4,6,1,2,5]=>[1,3,6,5,2,4]=>[1,5,3,2,6,4]
[{3,5,6},{1,2,4}]=>[3,5,6,1,2,4]=>[1,3,6,4,2,5]=>[1,4,3,6,2,5]
[{4,5,6},{1,2,3}]=>[4,5,6,1,2,3]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[{1,2,3,4},{5},{6}]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,2,3,4},{6},{5}]=>[1,2,3,4,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,2,3,5},{4},{6}]=>[1,2,3,5,4,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,2,3,6},{4},{5}]=>[1,2,3,6,4,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1,2,3,5},{6},{4}]=>[1,2,3,5,6,4]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,2,3,6},{5},{4}]=>[1,2,3,6,5,4]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1,2,4,5},{3},{6}]=>[1,2,4,5,3,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,2,4,6},{3},{5}]=>[1,2,4,6,3,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1,2,5,6},{3},{4}]=>[1,2,5,6,3,4]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1,2,4,5},{6},{3}]=>[1,2,4,5,6,3]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,2,4,6},{5},{3}]=>[1,2,4,6,5,3]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1,2,5,6},{4},{3}]=>[1,2,5,6,4,3]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1,3,4,5},{2},{6}]=>[1,3,4,5,2,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,3,4,6},{2},{5}]=>[1,3,4,6,2,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1,3,5,6},{2},{4}]=>[1,3,5,6,2,4]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1,4,5,6},{2},{3}]=>[1,4,5,6,2,3]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]
[{1,3,4,5},{6},{2}]=>[1,3,4,5,6,2]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,3,4,6},{5},{2}]=>[1,3,4,6,5,2]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1,3,5,6},{4},{2}]=>[1,3,5,6,4,2]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1,4,5,6},{3},{2}]=>[1,4,5,6,3,2]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]
[{2,3,4,5},{1},{6}]=>[2,3,4,5,1,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2,3,4,6},{1},{5}]=>[2,3,4,6,1,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{2,3,5,6},{1},{4}]=>[2,3,5,6,1,4]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{2,4,5,6},{1},{3}]=>[2,4,5,6,1,3]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]
[{3,4,5,6},{1},{2}]=>[3,4,5,6,1,2]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[{2,3,4,5},{6},{1}]=>[2,3,4,5,6,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2,3,4,6},{5},{1}]=>[2,3,4,6,5,1]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{2,3,5,6},{4},{1}]=>[2,3,5,6,4,1]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{2,4,5,6},{3},{1}]=>[2,4,5,6,3,1]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]
[{3,4,5,6},{2},{1}]=>[3,4,5,6,2,1]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[{1,2,3,4},{5,6}]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,2,3,5},{4,6}]=>[1,2,3,5,4,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,2,3,6},{4,5}]=>[1,2,3,6,4,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1,2,4,5},{3,6}]=>[1,2,4,5,3,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,2,4,6},{3,5}]=>[1,2,4,6,3,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1,2,5,6},{3,4}]=>[1,2,5,6,3,4]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1,3,4,5},{2,6}]=>[1,3,4,5,2,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,3,4,6},{2,5}]=>[1,3,4,6,2,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{1,3,5,6},{2,4}]=>[1,3,5,6,2,4]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{1,4,5,6},{2,3}]=>[1,4,5,6,2,3]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]
[{2,3,4,5},{1,6}]=>[2,3,4,5,1,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2,3,4,6},{1,5}]=>[2,3,4,6,1,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[{2,3,5,6},{1,4}]=>[2,3,5,6,1,4]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[{2,4,5,6},{1,3}]=>[2,4,5,6,1,3]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]
[{3,4,5,6},{1,2}]=>[3,4,5,6,1,2]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[{1,2,3,4,5},{6}]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,2,3,4,6},{5}]=>[1,2,3,4,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,2,3,5,6},{4}]=>[1,2,3,5,6,4]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,2,4,5,6},{3}]=>[1,2,4,5,6,3]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,3,4,5,6},{2}]=>[1,3,4,5,6,2]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{2,3,4,5,6},{1}]=>[2,3,4,5,6,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[{1,2,3,4,5,6}]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
Map
to permutation
Description
Return the permutation obtained by concatenating the blocks sorted into increasing order.
Map
cycle-as-one-line notation
Description
Return the permutation obtained by concatenating the cycles of a permutation, each written with minimal element first, sorted by minimal element.
Map
descent views to invisible inversion bottoms
Description
Return a permutation whose multiset of invisible inversion bottoms is the multiset of descent views of the given permutation.
This map is similar to Mp00235descent views to invisible inversion bottoms, but different beginning with permutations of six elements.
An invisible inversion of a permutation $\sigma$ is a pair $i < j$ such that $i < \sigma(j) < \sigma(i)$. The element $\sigma(j)$ is then an invisible inversion bottom.
A descent view in a permutation $\pi$ is an element $\pi(j)$ such that $\pi(i+1) < \pi(j) < \pi(i)$, and additionally the smallest element in the decreasing run containing $\pi(i)$ is smaller than the smallest element in the decreasing run containing $\pi(j)$.
This map is a bijection $\chi:\mathfrak S_n \to \mathfrak S_n$, such that
This map is similar to Mp00235descent views to invisible inversion bottoms, but different beginning with permutations of six elements.
An invisible inversion of a permutation $\sigma$ is a pair $i < j$ such that $i < \sigma(j) < \sigma(i)$. The element $\sigma(j)$ is then an invisible inversion bottom.
A descent view in a permutation $\pi$ is an element $\pi(j)$ such that $\pi(i+1) < \pi(j) < \pi(i)$, and additionally the smallest element in the decreasing run containing $\pi(i)$ is smaller than the smallest element in the decreasing run containing $\pi(j)$.
This map is a bijection $\chi:\mathfrak S_n \to \mathfrak S_n$, such that
- the multiset of descent views in $\pi$ is the multiset of invisible inversion bottoms in $\chi(\pi)$,
- the set of left-to-right maximima of $\pi$ is the set of maximal elements in the cycles of $\chi(\pi)$,
- the set of global ascent of $\pi$ is the set of global ascent of $\chi(\pi)$,
- the set of maximal elements in the decreasing runs of $\pi$ is the set of deficiency positions of $\chi(\pi)$, and
- the set of minimal elements in the decreasing runs of $\pi$ is the set of deficiency values of $\chi(\pi)$.
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