Identifier
Mp00290:
Parking functions
—to ordered set partition⟶
Ordered set partitions
Mp00286: Ordered set partitions —to permutation⟶ Permutations
Mp00286: Ordered set partitions —to permutation⟶ Permutations
Images
=>
[1]=>[{1}]=>[1]
[1,1]=>[{1,2}]=>[1,2]
[1,2]=>[{1},{2}]=>[1,2]
[2,1]=>[{2},{1}]=>[2,1]
[1,1,1]=>[{1,2,3}]=>[1,2,3]
[1,1,2]=>[{1,2},{3}]=>[1,2,3]
[1,2,1]=>[{1,3},{2}]=>[1,3,2]
[2,1,1]=>[{2,3},{1}]=>[2,3,1]
[1,1,3]=>[{1,2},{3}]=>[1,2,3]
[1,3,1]=>[{1,3},{2}]=>[1,3,2]
[3,1,1]=>[{2,3},{1}]=>[2,3,1]
[1,2,2]=>[{1},{2,3}]=>[1,2,3]
[2,1,2]=>[{2},{1,3}]=>[2,1,3]
[2,2,1]=>[{3},{1,2}]=>[3,1,2]
[1,2,3]=>[{1},{2},{3}]=>[1,2,3]
[1,3,2]=>[{1},{3},{2}]=>[1,3,2]
[2,1,3]=>[{2},{1},{3}]=>[2,1,3]
[2,3,1]=>[{3},{1},{2}]=>[3,1,2]
[3,1,2]=>[{2},{3},{1}]=>[2,3,1]
[3,2,1]=>[{3},{2},{1}]=>[3,2,1]
[1,1,1,1]=>[{1,2,3,4}]=>[1,2,3,4]
[1,1,1,2]=>[{1,2,3},{4}]=>[1,2,3,4]
[1,1,2,1]=>[{1,2,4},{3}]=>[1,2,4,3]
[1,2,1,1]=>[{1,3,4},{2}]=>[1,3,4,2]
[2,1,1,1]=>[{2,3,4},{1}]=>[2,3,4,1]
[1,1,1,3]=>[{1,2,3},{4}]=>[1,2,3,4]
[1,1,3,1]=>[{1,2,4},{3}]=>[1,2,4,3]
[1,3,1,1]=>[{1,3,4},{2}]=>[1,3,4,2]
[3,1,1,1]=>[{2,3,4},{1}]=>[2,3,4,1]
[1,1,1,4]=>[{1,2,3},{4}]=>[1,2,3,4]
[1,1,4,1]=>[{1,2,4},{3}]=>[1,2,4,3]
[1,4,1,1]=>[{1,3,4},{2}]=>[1,3,4,2]
[4,1,1,1]=>[{2,3,4},{1}]=>[2,3,4,1]
[1,1,2,2]=>[{1,2},{3,4}]=>[1,2,3,4]
[1,2,1,2]=>[{1,3},{2,4}]=>[1,3,2,4]
[1,2,2,1]=>[{1,4},{2,3}]=>[1,4,2,3]
[2,1,1,2]=>[{2,3},{1,4}]=>[2,3,1,4]
[2,1,2,1]=>[{2,4},{1,3}]=>[2,4,1,3]
[2,2,1,1]=>[{3,4},{1,2}]=>[3,4,1,2]
[1,1,2,3]=>[{1,2},{3},{4}]=>[1,2,3,4]
[1,1,3,2]=>[{1,2},{4},{3}]=>[1,2,4,3]
[1,2,1,3]=>[{1,3},{2},{4}]=>[1,3,2,4]
[1,2,3,1]=>[{1,4},{2},{3}]=>[1,4,2,3]
[1,3,1,2]=>[{1,3},{4},{2}]=>[1,3,4,2]
[1,3,2,1]=>[{1,4},{3},{2}]=>[1,4,3,2]
[2,1,1,3]=>[{2,3},{1},{4}]=>[2,3,1,4]
[2,1,3,1]=>[{2,4},{1},{3}]=>[2,4,1,3]
[2,3,1,1]=>[{3,4},{1},{2}]=>[3,4,1,2]
[3,1,1,2]=>[{2,3},{4},{1}]=>[2,3,4,1]
[3,1,2,1]=>[{2,4},{3},{1}]=>[2,4,3,1]
[3,2,1,1]=>[{3,4},{2},{1}]=>[3,4,2,1]
[1,1,2,4]=>[{1,2},{3},{4}]=>[1,2,3,4]
[1,1,4,2]=>[{1,2},{4},{3}]=>[1,2,4,3]
[1,2,1,4]=>[{1,3},{2},{4}]=>[1,3,2,4]
[1,2,4,1]=>[{1,4},{2},{3}]=>[1,4,2,3]
[1,4,1,2]=>[{1,3},{4},{2}]=>[1,3,4,2]
[1,4,2,1]=>[{1,4},{3},{2}]=>[1,4,3,2]
[2,1,1,4]=>[{2,3},{1},{4}]=>[2,3,1,4]
[2,1,4,1]=>[{2,4},{1},{3}]=>[2,4,1,3]
[2,4,1,1]=>[{3,4},{1},{2}]=>[3,4,1,2]
[4,1,1,2]=>[{2,3},{4},{1}]=>[2,3,4,1]
[4,1,2,1]=>[{2,4},{3},{1}]=>[2,4,3,1]
[4,2,1,1]=>[{3,4},{2},{1}]=>[3,4,2,1]
[1,1,3,3]=>[{1,2},{3,4}]=>[1,2,3,4]
[1,3,1,3]=>[{1,3},{2,4}]=>[1,3,2,4]
[1,3,3,1]=>[{1,4},{2,3}]=>[1,4,2,3]
[3,1,1,3]=>[{2,3},{1,4}]=>[2,3,1,4]
[3,1,3,1]=>[{2,4},{1,3}]=>[2,4,1,3]
[3,3,1,1]=>[{3,4},{1,2}]=>[3,4,1,2]
[1,1,3,4]=>[{1,2},{3},{4}]=>[1,2,3,4]
[1,1,4,3]=>[{1,2},{4},{3}]=>[1,2,4,3]
[1,3,1,4]=>[{1,3},{2},{4}]=>[1,3,2,4]
[1,3,4,1]=>[{1,4},{2},{3}]=>[1,4,2,3]
[1,4,1,3]=>[{1,3},{4},{2}]=>[1,3,4,2]
[1,4,3,1]=>[{1,4},{3},{2}]=>[1,4,3,2]
[3,1,1,4]=>[{2,3},{1},{4}]=>[2,3,1,4]
[3,1,4,1]=>[{2,4},{1},{3}]=>[2,4,1,3]
[3,4,1,1]=>[{3,4},{1},{2}]=>[3,4,1,2]
[4,1,1,3]=>[{2,3},{4},{1}]=>[2,3,4,1]
[4,1,3,1]=>[{2,4},{3},{1}]=>[2,4,3,1]
[4,3,1,1]=>[{3,4},{2},{1}]=>[3,4,2,1]
[1,2,2,2]=>[{1},{2,3,4}]=>[1,2,3,4]
[2,1,2,2]=>[{2},{1,3,4}]=>[2,1,3,4]
[2,2,1,2]=>[{3},{1,2,4}]=>[3,1,2,4]
[2,2,2,1]=>[{4},{1,2,3}]=>[4,1,2,3]
[1,2,2,3]=>[{1},{2,3},{4}]=>[1,2,3,4]
[1,2,3,2]=>[{1},{2,4},{3}]=>[1,2,4,3]
[1,3,2,2]=>[{1},{3,4},{2}]=>[1,3,4,2]
[2,1,2,3]=>[{2},{1,3},{4}]=>[2,1,3,4]
[2,1,3,2]=>[{2},{1,4},{3}]=>[2,1,4,3]
[2,2,1,3]=>[{3},{1,2},{4}]=>[3,1,2,4]
[2,2,3,1]=>[{4},{1,2},{3}]=>[4,1,2,3]
[2,3,1,2]=>[{3},{1,4},{2}]=>[3,1,4,2]
[2,3,2,1]=>[{4},{1,3},{2}]=>[4,1,3,2]
[3,1,2,2]=>[{2},{3,4},{1}]=>[2,3,4,1]
[3,2,1,2]=>[{3},{2,4},{1}]=>[3,2,4,1]
[3,2,2,1]=>[{4},{2,3},{1}]=>[4,2,3,1]
[1,2,2,4]=>[{1},{2,3},{4}]=>[1,2,3,4]
[1,2,4,2]=>[{1},{2,4},{3}]=>[1,2,4,3]
[1,4,2,2]=>[{1},{3,4},{2}]=>[1,3,4,2]
[2,1,2,4]=>[{2},{1,3},{4}]=>[2,1,3,4]
[2,1,4,2]=>[{2},{1,4},{3}]=>[2,1,4,3]
[2,2,1,4]=>[{3},{1,2},{4}]=>[3,1,2,4]
[2,2,4,1]=>[{4},{1,2},{3}]=>[4,1,2,3]
[2,4,1,2]=>[{3},{1,4},{2}]=>[3,1,4,2]
[2,4,2,1]=>[{4},{1,3},{2}]=>[4,1,3,2]
[4,1,2,2]=>[{2},{3,4},{1}]=>[2,3,4,1]
[4,2,1,2]=>[{3},{2,4},{1}]=>[3,2,4,1]
[4,2,2,1]=>[{4},{2,3},{1}]=>[4,2,3,1]
[1,2,3,3]=>[{1},{2},{3,4}]=>[1,2,3,4]
[1,3,2,3]=>[{1},{3},{2,4}]=>[1,3,2,4]
[1,3,3,2]=>[{1},{4},{2,3}]=>[1,4,2,3]
[2,1,3,3]=>[{2},{1},{3,4}]=>[2,1,3,4]
[2,3,1,3]=>[{3},{1},{2,4}]=>[3,1,2,4]
[2,3,3,1]=>[{4},{1},{2,3}]=>[4,1,2,3]
[3,1,2,3]=>[{2},{3},{1,4}]=>[2,3,1,4]
[3,1,3,2]=>[{2},{4},{1,3}]=>[2,4,1,3]
[3,2,1,3]=>[{3},{2},{1,4}]=>[3,2,1,4]
[3,2,3,1]=>[{4},{2},{1,3}]=>[4,2,1,3]
[3,3,1,2]=>[{3},{4},{1,2}]=>[3,4,1,2]
[3,3,2,1]=>[{4},{3},{1,2}]=>[4,3,1,2]
[1,2,3,4]=>[{1},{2},{3},{4}]=>[1,2,3,4]
[1,2,4,3]=>[{1},{2},{4},{3}]=>[1,2,4,3]
[1,3,2,4]=>[{1},{3},{2},{4}]=>[1,3,2,4]
[1,3,4,2]=>[{1},{4},{2},{3}]=>[1,4,2,3]
[1,4,2,3]=>[{1},{3},{4},{2}]=>[1,3,4,2]
[1,4,3,2]=>[{1},{4},{3},{2}]=>[1,4,3,2]
[2,1,3,4]=>[{2},{1},{3},{4}]=>[2,1,3,4]
[2,1,4,3]=>[{2},{1},{4},{3}]=>[2,1,4,3]
[2,3,1,4]=>[{3},{1},{2},{4}]=>[3,1,2,4]
[2,3,4,1]=>[{4},{1},{2},{3}]=>[4,1,2,3]
[2,4,1,3]=>[{3},{1},{4},{2}]=>[3,1,4,2]
[2,4,3,1]=>[{4},{1},{3},{2}]=>[4,1,3,2]
[3,1,2,4]=>[{2},{3},{1},{4}]=>[2,3,1,4]
[3,1,4,2]=>[{2},{4},{1},{3}]=>[2,4,1,3]
[3,2,1,4]=>[{3},{2},{1},{4}]=>[3,2,1,4]
[3,2,4,1]=>[{4},{2},{1},{3}]=>[4,2,1,3]
[3,4,1,2]=>[{3},{4},{1},{2}]=>[3,4,1,2]
[3,4,2,1]=>[{4},{3},{1},{2}]=>[4,3,1,2]
[4,1,2,3]=>[{2},{3},{4},{1}]=>[2,3,4,1]
[4,1,3,2]=>[{2},{4},{3},{1}]=>[2,4,3,1]
[4,2,1,3]=>[{3},{2},{4},{1}]=>[3,2,4,1]
[4,2,3,1]=>[{4},{2},{3},{1}]=>[4,2,3,1]
[4,3,1,2]=>[{3},{4},{2},{1}]=>[3,4,2,1]
[4,3,2,1]=>[{4},{3},{2},{1}]=>[4,3,2,1]
[1,1,1,1,1]=>[{1,2,3,4,5}]=>[1,2,3,4,5]
[1,1,1,1,2]=>[{1,2,3,4},{5}]=>[1,2,3,4,5]
[1,1,1,2,1]=>[{1,2,3,5},{4}]=>[1,2,3,5,4]
[1,1,2,1,1]=>[{1,2,4,5},{3}]=>[1,2,4,5,3]
[1,2,1,1,1]=>[{1,3,4,5},{2}]=>[1,3,4,5,2]
[2,1,1,1,1]=>[{2,3,4,5},{1}]=>[2,3,4,5,1]
[1,1,1,1,3]=>[{1,2,3,4},{5}]=>[1,2,3,4,5]
[1,1,1,3,1]=>[{1,2,3,5},{4}]=>[1,2,3,5,4]
[1,1,3,1,1]=>[{1,2,4,5},{3}]=>[1,2,4,5,3]
[1,3,1,1,1]=>[{1,3,4,5},{2}]=>[1,3,4,5,2]
[3,1,1,1,1]=>[{2,3,4,5},{1}]=>[2,3,4,5,1]
[1,1,1,1,4]=>[{1,2,3,4},{5}]=>[1,2,3,4,5]
[1,1,1,4,1]=>[{1,2,3,5},{4}]=>[1,2,3,5,4]
[1,1,4,1,1]=>[{1,2,4,5},{3}]=>[1,2,4,5,3]
[1,4,1,1,1]=>[{1,3,4,5},{2}]=>[1,3,4,5,2]
[4,1,1,1,1]=>[{2,3,4,5},{1}]=>[2,3,4,5,1]
[1,1,1,1,5]=>[{1,2,3,4},{5}]=>[1,2,3,4,5]
[1,1,1,5,1]=>[{1,2,3,5},{4}]=>[1,2,3,5,4]
[1,1,5,1,1]=>[{1,2,4,5},{3}]=>[1,2,4,5,3]
[1,5,1,1,1]=>[{1,3,4,5},{2}]=>[1,3,4,5,2]
[5,1,1,1,1]=>[{2,3,4,5},{1}]=>[2,3,4,5,1]
[1,1,1,2,2]=>[{1,2,3},{4,5}]=>[1,2,3,4,5]
[1,1,2,1,2]=>[{1,2,4},{3,5}]=>[1,2,4,3,5]
[1,1,2,2,1]=>[{1,2,5},{3,4}]=>[1,2,5,3,4]
[1,2,1,1,2]=>[{1,3,4},{2,5}]=>[1,3,4,2,5]
[1,2,1,2,1]=>[{1,3,5},{2,4}]=>[1,3,5,2,4]
[1,2,2,1,1]=>[{1,4,5},{2,3}]=>[1,4,5,2,3]
[2,1,1,1,2]=>[{2,3,4},{1,5}]=>[2,3,4,1,5]
[2,1,1,2,1]=>[{2,3,5},{1,4}]=>[2,3,5,1,4]
[2,1,2,1,1]=>[{2,4,5},{1,3}]=>[2,4,5,1,3]
[2,2,1,1,1]=>[{3,4,5},{1,2}]=>[3,4,5,1,2]
[1,1,1,2,3]=>[{1,2,3},{4},{5}]=>[1,2,3,4,5]
[1,1,1,3,2]=>[{1,2,3},{5},{4}]=>[1,2,3,5,4]
[1,1,2,1,3]=>[{1,2,4},{3},{5}]=>[1,2,4,3,5]
[1,1,2,3,1]=>[{1,2,5},{3},{4}]=>[1,2,5,3,4]
[1,1,3,1,2]=>[{1,2,4},{5},{3}]=>[1,2,4,5,3]
[1,1,3,2,1]=>[{1,2,5},{4},{3}]=>[1,2,5,4,3]
[1,2,1,1,3]=>[{1,3,4},{2},{5}]=>[1,3,4,2,5]
[1,2,1,3,1]=>[{1,3,5},{2},{4}]=>[1,3,5,2,4]
[1,2,3,1,1]=>[{1,4,5},{2},{3}]=>[1,4,5,2,3]
[1,3,1,1,2]=>[{1,3,4},{5},{2}]=>[1,3,4,5,2]
[1,3,1,2,1]=>[{1,3,5},{4},{2}]=>[1,3,5,4,2]
[1,3,2,1,1]=>[{1,4,5},{3},{2}]=>[1,4,5,3,2]
[2,1,1,1,3]=>[{2,3,4},{1},{5}]=>[2,3,4,1,5]
[2,1,1,3,1]=>[{2,3,5},{1},{4}]=>[2,3,5,1,4]
[2,1,3,1,1]=>[{2,4,5},{1},{3}]=>[2,4,5,1,3]
[2,3,1,1,1]=>[{3,4,5},{1},{2}]=>[3,4,5,1,2]
[3,1,1,1,2]=>[{2,3,4},{5},{1}]=>[2,3,4,5,1]
[3,1,1,2,1]=>[{2,3,5},{4},{1}]=>[2,3,5,4,1]
[3,1,2,1,1]=>[{2,4,5},{3},{1}]=>[2,4,5,3,1]
[3,2,1,1,1]=>[{3,4,5},{2},{1}]=>[3,4,5,2,1]
[1,1,1,2,4]=>[{1,2,3},{4},{5}]=>[1,2,3,4,5]
[1,1,1,4,2]=>[{1,2,3},{5},{4}]=>[1,2,3,5,4]
[1,1,2,1,4]=>[{1,2,4},{3},{5}]=>[1,2,4,3,5]
[1,1,2,4,1]=>[{1,2,5},{3},{4}]=>[1,2,5,3,4]
[1,1,4,1,2]=>[{1,2,4},{5},{3}]=>[1,2,4,5,3]
[1,1,4,2,1]=>[{1,2,5},{4},{3}]=>[1,2,5,4,3]
[1,2,1,1,4]=>[{1,3,4},{2},{5}]=>[1,3,4,2,5]
[1,2,1,4,1]=>[{1,3,5},{2},{4}]=>[1,3,5,2,4]
[1,2,4,1,1]=>[{1,4,5},{2},{3}]=>[1,4,5,2,3]
[1,4,1,1,2]=>[{1,3,4},{5},{2}]=>[1,3,4,5,2]
[1,4,1,2,1]=>[{1,3,5},{4},{2}]=>[1,3,5,4,2]
[1,4,2,1,1]=>[{1,4,5},{3},{2}]=>[1,4,5,3,2]
[2,1,1,1,4]=>[{2,3,4},{1},{5}]=>[2,3,4,1,5]
[2,1,1,4,1]=>[{2,3,5},{1},{4}]=>[2,3,5,1,4]
[2,1,4,1,1]=>[{2,4,5},{1},{3}]=>[2,4,5,1,3]
[2,4,1,1,1]=>[{3,4,5},{1},{2}]=>[3,4,5,1,2]
[4,1,1,1,2]=>[{2,3,4},{5},{1}]=>[2,3,4,5,1]
[4,1,1,2,1]=>[{2,3,5},{4},{1}]=>[2,3,5,4,1]
[4,1,2,1,1]=>[{2,4,5},{3},{1}]=>[2,4,5,3,1]
[4,2,1,1,1]=>[{3,4,5},{2},{1}]=>[3,4,5,2,1]
[1,1,1,2,5]=>[{1,2,3},{4},{5}]=>[1,2,3,4,5]
[1,1,1,5,2]=>[{1,2,3},{5},{4}]=>[1,2,3,5,4]
[1,1,2,1,5]=>[{1,2,4},{3},{5}]=>[1,2,4,3,5]
[1,1,2,5,1]=>[{1,2,5},{3},{4}]=>[1,2,5,3,4]
[1,1,5,1,2]=>[{1,2,4},{5},{3}]=>[1,2,4,5,3]
[1,1,5,2,1]=>[{1,2,5},{4},{3}]=>[1,2,5,4,3]
[1,2,1,1,5]=>[{1,3,4},{2},{5}]=>[1,3,4,2,5]
[1,2,1,5,1]=>[{1,3,5},{2},{4}]=>[1,3,5,2,4]
[1,2,5,1,1]=>[{1,4,5},{2},{3}]=>[1,4,5,2,3]
[1,5,1,1,2]=>[{1,3,4},{5},{2}]=>[1,3,4,5,2]
[1,5,1,2,1]=>[{1,3,5},{4},{2}]=>[1,3,5,4,2]
[1,5,2,1,1]=>[{1,4,5},{3},{2}]=>[1,4,5,3,2]
[2,1,1,1,5]=>[{2,3,4},{1},{5}]=>[2,3,4,1,5]
[2,1,1,5,1]=>[{2,3,5},{1},{4}]=>[2,3,5,1,4]
[2,1,5,1,1]=>[{2,4,5},{1},{3}]=>[2,4,5,1,3]
[2,5,1,1,1]=>[{3,4,5},{1},{2}]=>[3,4,5,1,2]
[5,1,1,1,2]=>[{2,3,4},{5},{1}]=>[2,3,4,5,1]
[5,1,1,2,1]=>[{2,3,5},{4},{1}]=>[2,3,5,4,1]
[5,1,2,1,1]=>[{2,4,5},{3},{1}]=>[2,4,5,3,1]
[5,2,1,1,1]=>[{3,4,5},{2},{1}]=>[3,4,5,2,1]
[1,1,1,3,3]=>[{1,2,3},{4,5}]=>[1,2,3,4,5]
[1,1,3,1,3]=>[{1,2,4},{3,5}]=>[1,2,4,3,5]
[1,1,3,3,1]=>[{1,2,5},{3,4}]=>[1,2,5,3,4]
[1,3,1,1,3]=>[{1,3,4},{2,5}]=>[1,3,4,2,5]
[1,3,1,3,1]=>[{1,3,5},{2,4}]=>[1,3,5,2,4]
[1,3,3,1,1]=>[{1,4,5},{2,3}]=>[1,4,5,2,3]
[3,1,1,1,3]=>[{2,3,4},{1,5}]=>[2,3,4,1,5]
[3,1,1,3,1]=>[{2,3,5},{1,4}]=>[2,3,5,1,4]
[3,1,3,1,1]=>[{2,4,5},{1,3}]=>[2,4,5,1,3]
[3,3,1,1,1]=>[{3,4,5},{1,2}]=>[3,4,5,1,2]
[1,1,1,3,4]=>[{1,2,3},{4},{5}]=>[1,2,3,4,5]
[1,1,1,4,3]=>[{1,2,3},{5},{4}]=>[1,2,3,5,4]
[1,1,3,1,4]=>[{1,2,4},{3},{5}]=>[1,2,4,3,5]
[1,1,3,4,1]=>[{1,2,5},{3},{4}]=>[1,2,5,3,4]
[1,1,4,1,3]=>[{1,2,4},{5},{3}]=>[1,2,4,5,3]
[1,1,4,3,1]=>[{1,2,5},{4},{3}]=>[1,2,5,4,3]
[1,3,1,1,4]=>[{1,3,4},{2},{5}]=>[1,3,4,2,5]
[1,3,1,4,1]=>[{1,3,5},{2},{4}]=>[1,3,5,2,4]
[1,3,4,1,1]=>[{1,4,5},{2},{3}]=>[1,4,5,2,3]
[1,4,1,1,3]=>[{1,3,4},{5},{2}]=>[1,3,4,5,2]
[1,4,1,3,1]=>[{1,3,5},{4},{2}]=>[1,3,5,4,2]
[1,4,3,1,1]=>[{1,4,5},{3},{2}]=>[1,4,5,3,2]
[3,1,1,1,4]=>[{2,3,4},{1},{5}]=>[2,3,4,1,5]
[3,1,1,4,1]=>[{2,3,5},{1},{4}]=>[2,3,5,1,4]
[3,1,4,1,1]=>[{2,4,5},{1},{3}]=>[2,4,5,1,3]
[3,4,1,1,1]=>[{3,4,5},{1},{2}]=>[3,4,5,1,2]
[4,1,1,1,3]=>[{2,3,4},{5},{1}]=>[2,3,4,5,1]
[4,1,1,3,1]=>[{2,3,5},{4},{1}]=>[2,3,5,4,1]
[4,1,3,1,1]=>[{2,4,5},{3},{1}]=>[2,4,5,3,1]
[4,3,1,1,1]=>[{3,4,5},{2},{1}]=>[3,4,5,2,1]
[1,1,1,3,5]=>[{1,2,3},{4},{5}]=>[1,2,3,4,5]
[1,1,1,5,3]=>[{1,2,3},{5},{4}]=>[1,2,3,5,4]
[1,1,3,1,5]=>[{1,2,4},{3},{5}]=>[1,2,4,3,5]
[1,1,3,5,1]=>[{1,2,5},{3},{4}]=>[1,2,5,3,4]
[1,1,5,1,3]=>[{1,2,4},{5},{3}]=>[1,2,4,5,3]
[1,1,5,3,1]=>[{1,2,5},{4},{3}]=>[1,2,5,4,3]
[1,3,1,1,5]=>[{1,3,4},{2},{5}]=>[1,3,4,2,5]
[1,3,1,5,1]=>[{1,3,5},{2},{4}]=>[1,3,5,2,4]
[1,3,5,1,1]=>[{1,4,5},{2},{3}]=>[1,4,5,2,3]
[1,5,1,1,3]=>[{1,3,4},{5},{2}]=>[1,3,4,5,2]
[1,5,1,3,1]=>[{1,3,5},{4},{2}]=>[1,3,5,4,2]
[1,5,3,1,1]=>[{1,4,5},{3},{2}]=>[1,4,5,3,2]
[3,1,1,1,5]=>[{2,3,4},{1},{5}]=>[2,3,4,1,5]
[3,1,1,5,1]=>[{2,3,5},{1},{4}]=>[2,3,5,1,4]
[3,1,5,1,1]=>[{2,4,5},{1},{3}]=>[2,4,5,1,3]
[3,5,1,1,1]=>[{3,4,5},{1},{2}]=>[3,4,5,1,2]
[5,1,1,1,3]=>[{2,3,4},{5},{1}]=>[2,3,4,5,1]
[5,1,1,3,1]=>[{2,3,5},{4},{1}]=>[2,3,5,4,1]
[5,1,3,1,1]=>[{2,4,5},{3},{1}]=>[2,4,5,3,1]
[5,3,1,1,1]=>[{3,4,5},{2},{1}]=>[3,4,5,2,1]
[1,1,1,4,4]=>[{1,2,3},{4,5}]=>[1,2,3,4,5]
[1,1,4,1,4]=>[{1,2,4},{3,5}]=>[1,2,4,3,5]
[1,1,4,4,1]=>[{1,2,5},{3,4}]=>[1,2,5,3,4]
[1,4,1,1,4]=>[{1,3,4},{2,5}]=>[1,3,4,2,5]
[1,4,1,4,1]=>[{1,3,5},{2,4}]=>[1,3,5,2,4]
[1,4,4,1,1]=>[{1,4,5},{2,3}]=>[1,4,5,2,3]
[4,1,1,1,4]=>[{2,3,4},{1,5}]=>[2,3,4,1,5]
[4,1,1,4,1]=>[{2,3,5},{1,4}]=>[2,3,5,1,4]
[4,1,4,1,1]=>[{2,4,5},{1,3}]=>[2,4,5,1,3]
[4,4,1,1,1]=>[{3,4,5},{1,2}]=>[3,4,5,1,2]
[1,1,1,4,5]=>[{1,2,3},{4},{5}]=>[1,2,3,4,5]
[1,1,1,5,4]=>[{1,2,3},{5},{4}]=>[1,2,3,5,4]
[1,1,4,1,5]=>[{1,2,4},{3},{5}]=>[1,2,4,3,5]
[1,1,4,5,1]=>[{1,2,5},{3},{4}]=>[1,2,5,3,4]
[1,1,5,1,4]=>[{1,2,4},{5},{3}]=>[1,2,4,5,3]
[1,1,5,4,1]=>[{1,2,5},{4},{3}]=>[1,2,5,4,3]
[1,4,1,1,5]=>[{1,3,4},{2},{5}]=>[1,3,4,2,5]
[1,4,1,5,1]=>[{1,3,5},{2},{4}]=>[1,3,5,2,4]
[1,4,5,1,1]=>[{1,4,5},{2},{3}]=>[1,4,5,2,3]
[1,5,1,1,4]=>[{1,3,4},{5},{2}]=>[1,3,4,5,2]
[1,5,1,4,1]=>[{1,3,5},{4},{2}]=>[1,3,5,4,2]
[1,5,4,1,1]=>[{1,4,5},{3},{2}]=>[1,4,5,3,2]
[4,1,1,1,5]=>[{2,3,4},{1},{5}]=>[2,3,4,1,5]
[4,1,1,5,1]=>[{2,3,5},{1},{4}]=>[2,3,5,1,4]
[4,1,5,1,1]=>[{2,4,5},{1},{3}]=>[2,4,5,1,3]
[4,5,1,1,1]=>[{3,4,5},{1},{2}]=>[3,4,5,1,2]
[5,1,1,1,4]=>[{2,3,4},{5},{1}]=>[2,3,4,5,1]
[5,1,1,4,1]=>[{2,3,5},{4},{1}]=>[2,3,5,4,1]
[5,1,4,1,1]=>[{2,4,5},{3},{1}]=>[2,4,5,3,1]
[5,4,1,1,1]=>[{3,4,5},{2},{1}]=>[3,4,5,2,1]
[1,1,2,2,2]=>[{1,2},{3,4,5}]=>[1,2,3,4,5]
[1,2,1,2,2]=>[{1,3},{2,4,5}]=>[1,3,2,4,5]
[1,2,2,1,2]=>[{1,4},{2,3,5}]=>[1,4,2,3,5]
[1,2,2,2,1]=>[{1,5},{2,3,4}]=>[1,5,2,3,4]
[2,1,1,2,2]=>[{2,3},{1,4,5}]=>[2,3,1,4,5]
[2,1,2,1,2]=>[{2,4},{1,3,5}]=>[2,4,1,3,5]
[2,1,2,2,1]=>[{2,5},{1,3,4}]=>[2,5,1,3,4]
[2,2,1,1,2]=>[{3,4},{1,2,5}]=>[3,4,1,2,5]
[2,2,1,2,1]=>[{3,5},{1,2,4}]=>[3,5,1,2,4]
[2,2,2,1,1]=>[{4,5},{1,2,3}]=>[4,5,1,2,3]
[1,1,2,2,3]=>[{1,2},{3,4},{5}]=>[1,2,3,4,5]
[1,1,2,3,2]=>[{1,2},{3,5},{4}]=>[1,2,3,5,4]
[1,1,3,2,2]=>[{1,2},{4,5},{3}]=>[1,2,4,5,3]
[1,2,1,2,3]=>[{1,3},{2,4},{5}]=>[1,3,2,4,5]
[1,2,1,3,2]=>[{1,3},{2,5},{4}]=>[1,3,2,5,4]
[1,2,2,1,3]=>[{1,4},{2,3},{5}]=>[1,4,2,3,5]
[1,2,2,3,1]=>[{1,5},{2,3},{4}]=>[1,5,2,3,4]
[1,2,3,1,2]=>[{1,4},{2,5},{3}]=>[1,4,2,5,3]
[1,2,3,2,1]=>[{1,5},{2,4},{3}]=>[1,5,2,4,3]
[1,3,1,2,2]=>[{1,3},{4,5},{2}]=>[1,3,4,5,2]
[1,3,2,1,2]=>[{1,4},{3,5},{2}]=>[1,4,3,5,2]
[1,3,2,2,1]=>[{1,5},{3,4},{2}]=>[1,5,3,4,2]
[2,1,1,2,3]=>[{2,3},{1,4},{5}]=>[2,3,1,4,5]
[2,1,1,3,2]=>[{2,3},{1,5},{4}]=>[2,3,1,5,4]
[2,1,2,1,3]=>[{2,4},{1,3},{5}]=>[2,4,1,3,5]
[2,1,2,3,1]=>[{2,5},{1,3},{4}]=>[2,5,1,3,4]
[2,1,3,1,2]=>[{2,4},{1,5},{3}]=>[2,4,1,5,3]
[2,1,3,2,1]=>[{2,5},{1,4},{3}]=>[2,5,1,4,3]
[2,2,1,1,3]=>[{3,4},{1,2},{5}]=>[3,4,1,2,5]
[2,2,1,3,1]=>[{3,5},{1,2},{4}]=>[3,5,1,2,4]
[2,2,3,1,1]=>[{4,5},{1,2},{3}]=>[4,5,1,2,3]
[2,3,1,1,2]=>[{3,4},{1,5},{2}]=>[3,4,1,5,2]
[2,3,1,2,1]=>[{3,5},{1,4},{2}]=>[3,5,1,4,2]
[2,3,2,1,1]=>[{4,5},{1,3},{2}]=>[4,5,1,3,2]
[3,1,1,2,2]=>[{2,3},{4,5},{1}]=>[2,3,4,5,1]
[3,1,2,1,2]=>[{2,4},{3,5},{1}]=>[2,4,3,5,1]
[3,1,2,2,1]=>[{2,5},{3,4},{1}]=>[2,5,3,4,1]
[3,2,1,1,2]=>[{3,4},{2,5},{1}]=>[3,4,2,5,1]
[3,2,1,2,1]=>[{3,5},{2,4},{1}]=>[3,5,2,4,1]
[3,2,2,1,1]=>[{4,5},{2,3},{1}]=>[4,5,2,3,1]
[1,1,2,2,4]=>[{1,2},{3,4},{5}]=>[1,2,3,4,5]
[1,1,2,4,2]=>[{1,2},{3,5},{4}]=>[1,2,3,5,4]
[1,1,4,2,2]=>[{1,2},{4,5},{3}]=>[1,2,4,5,3]
[1,2,1,2,4]=>[{1,3},{2,4},{5}]=>[1,3,2,4,5]
[1,2,1,4,2]=>[{1,3},{2,5},{4}]=>[1,3,2,5,4]
[1,2,2,1,4]=>[{1,4},{2,3},{5}]=>[1,4,2,3,5]
[1,2,2,4,1]=>[{1,5},{2,3},{4}]=>[1,5,2,3,4]
[1,2,4,1,2]=>[{1,4},{2,5},{3}]=>[1,4,2,5,3]
[1,2,4,2,1]=>[{1,5},{2,4},{3}]=>[1,5,2,4,3]
[1,4,1,2,2]=>[{1,3},{4,5},{2}]=>[1,3,4,5,2]
[1,4,2,1,2]=>[{1,4},{3,5},{2}]=>[1,4,3,5,2]
[1,4,2,2,1]=>[{1,5},{3,4},{2}]=>[1,5,3,4,2]
[2,1,1,2,4]=>[{2,3},{1,4},{5}]=>[2,3,1,4,5]
[2,1,1,4,2]=>[{2,3},{1,5},{4}]=>[2,3,1,5,4]
[2,1,2,1,4]=>[{2,4},{1,3},{5}]=>[2,4,1,3,5]
[2,1,2,4,1]=>[{2,5},{1,3},{4}]=>[2,5,1,3,4]
[2,1,4,1,2]=>[{2,4},{1,5},{3}]=>[2,4,1,5,3]
[2,1,4,2,1]=>[{2,5},{1,4},{3}]=>[2,5,1,4,3]
[2,2,1,1,4]=>[{3,4},{1,2},{5}]=>[3,4,1,2,5]
[2,2,1,4,1]=>[{3,5},{1,2},{4}]=>[3,5,1,2,4]
[2,2,4,1,1]=>[{4,5},{1,2},{3}]=>[4,5,1,2,3]
[2,4,1,1,2]=>[{3,4},{1,5},{2}]=>[3,4,1,5,2]
[2,4,1,2,1]=>[{3,5},{1,4},{2}]=>[3,5,1,4,2]
[2,4,2,1,1]=>[{4,5},{1,3},{2}]=>[4,5,1,3,2]
[4,1,1,2,2]=>[{2,3},{4,5},{1}]=>[2,3,4,5,1]
[4,1,2,1,2]=>[{2,4},{3,5},{1}]=>[2,4,3,5,1]
[4,1,2,2,1]=>[{2,5},{3,4},{1}]=>[2,5,3,4,1]
[4,2,1,1,2]=>[{3,4},{2,5},{1}]=>[3,4,2,5,1]
[4,2,1,2,1]=>[{3,5},{2,4},{1}]=>[3,5,2,4,1]
[4,2,2,1,1]=>[{4,5},{2,3},{1}]=>[4,5,2,3,1]
[1,1,2,2,5]=>[{1,2},{3,4},{5}]=>[1,2,3,4,5]
[1,1,2,5,2]=>[{1,2},{3,5},{4}]=>[1,2,3,5,4]
[1,1,5,2,2]=>[{1,2},{4,5},{3}]=>[1,2,4,5,3]
[1,2,1,2,5]=>[{1,3},{2,4},{5}]=>[1,3,2,4,5]
[1,2,1,5,2]=>[{1,3},{2,5},{4}]=>[1,3,2,5,4]
[1,2,2,1,5]=>[{1,4},{2,3},{5}]=>[1,4,2,3,5]
[1,2,2,5,1]=>[{1,5},{2,3},{4}]=>[1,5,2,3,4]
[1,2,5,1,2]=>[{1,4},{2,5},{3}]=>[1,4,2,5,3]
[1,2,5,2,1]=>[{1,5},{2,4},{3}]=>[1,5,2,4,3]
[1,5,1,2,2]=>[{1,3},{4,5},{2}]=>[1,3,4,5,2]
[1,5,2,1,2]=>[{1,4},{3,5},{2}]=>[1,4,3,5,2]
[1,5,2,2,1]=>[{1,5},{3,4},{2}]=>[1,5,3,4,2]
[2,1,1,2,5]=>[{2,3},{1,4},{5}]=>[2,3,1,4,5]
[2,1,1,5,2]=>[{2,3},{1,5},{4}]=>[2,3,1,5,4]
[2,1,2,1,5]=>[{2,4},{1,3},{5}]=>[2,4,1,3,5]
[2,1,2,5,1]=>[{2,5},{1,3},{4}]=>[2,5,1,3,4]
[2,1,5,1,2]=>[{2,4},{1,5},{3}]=>[2,4,1,5,3]
[2,1,5,2,1]=>[{2,5},{1,4},{3}]=>[2,5,1,4,3]
[2,2,1,1,5]=>[{3,4},{1,2},{5}]=>[3,4,1,2,5]
[2,2,1,5,1]=>[{3,5},{1,2},{4}]=>[3,5,1,2,4]
[2,2,5,1,1]=>[{4,5},{1,2},{3}]=>[4,5,1,2,3]
[2,5,1,1,2]=>[{3,4},{1,5},{2}]=>[3,4,1,5,2]
[2,5,1,2,1]=>[{3,5},{1,4},{2}]=>[3,5,1,4,2]
[2,5,2,1,1]=>[{4,5},{1,3},{2}]=>[4,5,1,3,2]
[5,1,1,2,2]=>[{2,3},{4,5},{1}]=>[2,3,4,5,1]
[5,1,2,1,2]=>[{2,4},{3,5},{1}]=>[2,4,3,5,1]
[5,1,2,2,1]=>[{2,5},{3,4},{1}]=>[2,5,3,4,1]
[5,2,1,1,2]=>[{3,4},{2,5},{1}]=>[3,4,2,5,1]
[5,2,1,2,1]=>[{3,5},{2,4},{1}]=>[3,5,2,4,1]
[5,2,2,1,1]=>[{4,5},{2,3},{1}]=>[4,5,2,3,1]
[1,1,2,3,3]=>[{1,2},{3},{4,5}]=>[1,2,3,4,5]
[1,1,3,2,3]=>[{1,2},{4},{3,5}]=>[1,2,4,3,5]
[1,1,3,3,2]=>[{1,2},{5},{3,4}]=>[1,2,5,3,4]
[1,2,1,3,3]=>[{1,3},{2},{4,5}]=>[1,3,2,4,5]
[1,2,3,1,3]=>[{1,4},{2},{3,5}]=>[1,4,2,3,5]
[1,2,3,3,1]=>[{1,5},{2},{3,4}]=>[1,5,2,3,4]
[1,3,1,2,3]=>[{1,3},{4},{2,5}]=>[1,3,4,2,5]
[1,3,1,3,2]=>[{1,3},{5},{2,4}]=>[1,3,5,2,4]
[1,3,2,1,3]=>[{1,4},{3},{2,5}]=>[1,4,3,2,5]
[1,3,2,3,1]=>[{1,5},{3},{2,4}]=>[1,5,3,2,4]
[1,3,3,1,2]=>[{1,4},{5},{2,3}]=>[1,4,5,2,3]
[1,3,3,2,1]=>[{1,5},{4},{2,3}]=>[1,5,4,2,3]
[2,1,1,3,3]=>[{2,3},{1},{4,5}]=>[2,3,1,4,5]
[2,1,3,1,3]=>[{2,4},{1},{3,5}]=>[2,4,1,3,5]
[2,1,3,3,1]=>[{2,5},{1},{3,4}]=>[2,5,1,3,4]
[2,3,1,1,3]=>[{3,4},{1},{2,5}]=>[3,4,1,2,5]
[2,3,1,3,1]=>[{3,5},{1},{2,4}]=>[3,5,1,2,4]
[2,3,3,1,1]=>[{4,5},{1},{2,3}]=>[4,5,1,2,3]
[3,1,1,2,3]=>[{2,3},{4},{1,5}]=>[2,3,4,1,5]
[3,1,1,3,2]=>[{2,3},{5},{1,4}]=>[2,3,5,1,4]
[3,1,2,1,3]=>[{2,4},{3},{1,5}]=>[2,4,3,1,5]
[3,1,2,3,1]=>[{2,5},{3},{1,4}]=>[2,5,3,1,4]
[3,1,3,1,2]=>[{2,4},{5},{1,3}]=>[2,4,5,1,3]
[3,1,3,2,1]=>[{2,5},{4},{1,3}]=>[2,5,4,1,3]
[3,2,1,1,3]=>[{3,4},{2},{1,5}]=>[3,4,2,1,5]
[3,2,1,3,1]=>[{3,5},{2},{1,4}]=>[3,5,2,1,4]
[3,2,3,1,1]=>[{4,5},{2},{1,3}]=>[4,5,2,1,3]
[3,3,1,1,2]=>[{3,4},{5},{1,2}]=>[3,4,5,1,2]
[3,3,1,2,1]=>[{3,5},{4},{1,2}]=>[3,5,4,1,2]
[3,3,2,1,1]=>[{4,5},{3},{1,2}]=>[4,5,3,1,2]
[1,1,2,3,4]=>[{1,2},{3},{4},{5}]=>[1,2,3,4,5]
[1,1,2,4,3]=>[{1,2},{3},{5},{4}]=>[1,2,3,5,4]
[1,1,3,2,4]=>[{1,2},{4},{3},{5}]=>[1,2,4,3,5]
[1,1,3,4,2]=>[{1,2},{5},{3},{4}]=>[1,2,5,3,4]
[1,1,4,2,3]=>[{1,2},{4},{5},{3}]=>[1,2,4,5,3]
[1,1,4,3,2]=>[{1,2},{5},{4},{3}]=>[1,2,5,4,3]
[1,2,1,3,4]=>[{1,3},{2},{4},{5}]=>[1,3,2,4,5]
[1,2,1,4,3]=>[{1,3},{2},{5},{4}]=>[1,3,2,5,4]
[1,2,3,1,4]=>[{1,4},{2},{3},{5}]=>[1,4,2,3,5]
[1,2,3,4,1]=>[{1,5},{2},{3},{4}]=>[1,5,2,3,4]
[1,2,4,1,3]=>[{1,4},{2},{5},{3}]=>[1,4,2,5,3]
[1,2,4,3,1]=>[{1,5},{2},{4},{3}]=>[1,5,2,4,3]
[1,3,1,2,4]=>[{1,3},{4},{2},{5}]=>[1,3,4,2,5]
[1,3,1,4,2]=>[{1,3},{5},{2},{4}]=>[1,3,5,2,4]
[1,3,2,1,4]=>[{1,4},{3},{2},{5}]=>[1,4,3,2,5]
[1,3,2,4,1]=>[{1,5},{3},{2},{4}]=>[1,5,3,2,4]
[1,3,4,1,2]=>[{1,4},{5},{2},{3}]=>[1,4,5,2,3]
[1,3,4,2,1]=>[{1,5},{4},{2},{3}]=>[1,5,4,2,3]
[1,4,1,2,3]=>[{1,3},{4},{5},{2}]=>[1,3,4,5,2]
[1,4,1,3,2]=>[{1,3},{5},{4},{2}]=>[1,3,5,4,2]
[1,4,2,1,3]=>[{1,4},{3},{5},{2}]=>[1,4,3,5,2]
[1,4,2,3,1]=>[{1,5},{3},{4},{2}]=>[1,5,3,4,2]
[1,4,3,1,2]=>[{1,4},{5},{3},{2}]=>[1,4,5,3,2]
[1,4,3,2,1]=>[{1,5},{4},{3},{2}]=>[1,5,4,3,2]
[2,1,1,3,4]=>[{2,3},{1},{4},{5}]=>[2,3,1,4,5]
[2,1,1,4,3]=>[{2,3},{1},{5},{4}]=>[2,3,1,5,4]
[2,1,3,1,4]=>[{2,4},{1},{3},{5}]=>[2,4,1,3,5]
[2,1,3,4,1]=>[{2,5},{1},{3},{4}]=>[2,5,1,3,4]
[2,1,4,1,3]=>[{2,4},{1},{5},{3}]=>[2,4,1,5,3]
[2,1,4,3,1]=>[{2,5},{1},{4},{3}]=>[2,5,1,4,3]
[2,3,1,1,4]=>[{3,4},{1},{2},{5}]=>[3,4,1,2,5]
[2,3,1,4,1]=>[{3,5},{1},{2},{4}]=>[3,5,1,2,4]
[2,3,4,1,1]=>[{4,5},{1},{2},{3}]=>[4,5,1,2,3]
[2,4,1,1,3]=>[{3,4},{1},{5},{2}]=>[3,4,1,5,2]
[2,4,1,3,1]=>[{3,5},{1},{4},{2}]=>[3,5,1,4,2]
[2,4,3,1,1]=>[{4,5},{1},{3},{2}]=>[4,5,1,3,2]
[3,1,1,2,4]=>[{2,3},{4},{1},{5}]=>[2,3,4,1,5]
[3,1,1,4,2]=>[{2,3},{5},{1},{4}]=>[2,3,5,1,4]
[3,1,2,1,4]=>[{2,4},{3},{1},{5}]=>[2,4,3,1,5]
[3,1,2,4,1]=>[{2,5},{3},{1},{4}]=>[2,5,3,1,4]
[3,1,4,1,2]=>[{2,4},{5},{1},{3}]=>[2,4,5,1,3]
[3,1,4,2,1]=>[{2,5},{4},{1},{3}]=>[2,5,4,1,3]
[3,2,1,1,4]=>[{3,4},{2},{1},{5}]=>[3,4,2,1,5]
[3,2,1,4,1]=>[{3,5},{2},{1},{4}]=>[3,5,2,1,4]
[3,2,4,1,1]=>[{4,5},{2},{1},{3}]=>[4,5,2,1,3]
[3,4,1,1,2]=>[{3,4},{5},{1},{2}]=>[3,4,5,1,2]
[3,4,1,2,1]=>[{3,5},{4},{1},{2}]=>[3,5,4,1,2]
[3,4,2,1,1]=>[{4,5},{3},{1},{2}]=>[4,5,3,1,2]
[4,1,1,2,3]=>[{2,3},{4},{5},{1}]=>[2,3,4,5,1]
[4,1,1,3,2]=>[{2,3},{5},{4},{1}]=>[2,3,5,4,1]
[4,1,2,1,3]=>[{2,4},{3},{5},{1}]=>[2,4,3,5,1]
[4,1,2,3,1]=>[{2,5},{3},{4},{1}]=>[2,5,3,4,1]
[4,1,3,1,2]=>[{2,4},{5},{3},{1}]=>[2,4,5,3,1]
[4,1,3,2,1]=>[{2,5},{4},{3},{1}]=>[2,5,4,3,1]
[4,2,1,1,3]=>[{3,4},{2},{5},{1}]=>[3,4,2,5,1]
[4,2,1,3,1]=>[{3,5},{2},{4},{1}]=>[3,5,2,4,1]
[4,2,3,1,1]=>[{4,5},{2},{3},{1}]=>[4,5,2,3,1]
[4,3,1,1,2]=>[{3,4},{5},{2},{1}]=>[3,4,5,2,1]
[4,3,1,2,1]=>[{3,5},{4},{2},{1}]=>[3,5,4,2,1]
[4,3,2,1,1]=>[{4,5},{3},{2},{1}]=>[4,5,3,2,1]
[1,1,2,3,5]=>[{1,2},{3},{4},{5}]=>[1,2,3,4,5]
[1,1,2,5,3]=>[{1,2},{3},{5},{4}]=>[1,2,3,5,4]
[1,1,3,2,5]=>[{1,2},{4},{3},{5}]=>[1,2,4,3,5]
[1,1,3,5,2]=>[{1,2},{5},{3},{4}]=>[1,2,5,3,4]
[1,1,5,2,3]=>[{1,2},{4},{5},{3}]=>[1,2,4,5,3]
[1,1,5,3,2]=>[{1,2},{5},{4},{3}]=>[1,2,5,4,3]
[1,2,1,3,5]=>[{1,3},{2},{4},{5}]=>[1,3,2,4,5]
[1,2,1,5,3]=>[{1,3},{2},{5},{4}]=>[1,3,2,5,4]
[1,2,3,1,5]=>[{1,4},{2},{3},{5}]=>[1,4,2,3,5]
[1,2,3,5,1]=>[{1,5},{2},{3},{4}]=>[1,5,2,3,4]
[1,2,5,1,3]=>[{1,4},{2},{5},{3}]=>[1,4,2,5,3]
[1,2,5,3,1]=>[{1,5},{2},{4},{3}]=>[1,5,2,4,3]
[1,3,1,2,5]=>[{1,3},{4},{2},{5}]=>[1,3,4,2,5]
[1,3,1,5,2]=>[{1,3},{5},{2},{4}]=>[1,3,5,2,4]
[1,3,2,1,5]=>[{1,4},{3},{2},{5}]=>[1,4,3,2,5]
[1,3,2,5,1]=>[{1,5},{3},{2},{4}]=>[1,5,3,2,4]
[1,3,5,1,2]=>[{1,4},{5},{2},{3}]=>[1,4,5,2,3]
[1,3,5,2,1]=>[{1,5},{4},{2},{3}]=>[1,5,4,2,3]
[1,5,1,2,3]=>[{1,3},{4},{5},{2}]=>[1,3,4,5,2]
[1,5,1,3,2]=>[{1,3},{5},{4},{2}]=>[1,3,5,4,2]
[1,5,2,1,3]=>[{1,4},{3},{5},{2}]=>[1,4,3,5,2]
[1,5,2,3,1]=>[{1,5},{3},{4},{2}]=>[1,5,3,4,2]
[1,5,3,1,2]=>[{1,4},{5},{3},{2}]=>[1,4,5,3,2]
[1,5,3,2,1]=>[{1,5},{4},{3},{2}]=>[1,5,4,3,2]
[2,1,1,3,5]=>[{2,3},{1},{4},{5}]=>[2,3,1,4,5]
[2,1,1,5,3]=>[{2,3},{1},{5},{4}]=>[2,3,1,5,4]
[2,1,3,1,5]=>[{2,4},{1},{3},{5}]=>[2,4,1,3,5]
[2,1,3,5,1]=>[{2,5},{1},{3},{4}]=>[2,5,1,3,4]
[2,1,5,1,3]=>[{2,4},{1},{5},{3}]=>[2,4,1,5,3]
[2,1,5,3,1]=>[{2,5},{1},{4},{3}]=>[2,5,1,4,3]
[2,3,1,1,5]=>[{3,4},{1},{2},{5}]=>[3,4,1,2,5]
[2,3,1,5,1]=>[{3,5},{1},{2},{4}]=>[3,5,1,2,4]
[2,3,5,1,1]=>[{4,5},{1},{2},{3}]=>[4,5,1,2,3]
[2,5,1,1,3]=>[{3,4},{1},{5},{2}]=>[3,4,1,5,2]
[2,5,1,3,1]=>[{3,5},{1},{4},{2}]=>[3,5,1,4,2]
[2,5,3,1,1]=>[{4,5},{1},{3},{2}]=>[4,5,1,3,2]
[3,1,1,2,5]=>[{2,3},{4},{1},{5}]=>[2,3,4,1,5]
[3,1,1,5,2]=>[{2,3},{5},{1},{4}]=>[2,3,5,1,4]
[3,1,2,1,5]=>[{2,4},{3},{1},{5}]=>[2,4,3,1,5]
[3,1,2,5,1]=>[{2,5},{3},{1},{4}]=>[2,5,3,1,4]
[3,1,5,1,2]=>[{2,4},{5},{1},{3}]=>[2,4,5,1,3]
[3,1,5,2,1]=>[{2,5},{4},{1},{3}]=>[2,5,4,1,3]
[3,2,1,1,5]=>[{3,4},{2},{1},{5}]=>[3,4,2,1,5]
[3,2,1,5,1]=>[{3,5},{2},{1},{4}]=>[3,5,2,1,4]
[3,2,5,1,1]=>[{4,5},{2},{1},{3}]=>[4,5,2,1,3]
[3,5,1,1,2]=>[{3,4},{5},{1},{2}]=>[3,4,5,1,2]
[3,5,1,2,1]=>[{3,5},{4},{1},{2}]=>[3,5,4,1,2]
[3,5,2,1,1]=>[{4,5},{3},{1},{2}]=>[4,5,3,1,2]
[5,1,1,2,3]=>[{2,3},{4},{5},{1}]=>[2,3,4,5,1]
[5,1,1,3,2]=>[{2,3},{5},{4},{1}]=>[2,3,5,4,1]
[5,1,2,1,3]=>[{2,4},{3},{5},{1}]=>[2,4,3,5,1]
[5,1,2,3,1]=>[{2,5},{3},{4},{1}]=>[2,5,3,4,1]
[5,1,3,1,2]=>[{2,4},{5},{3},{1}]=>[2,4,5,3,1]
[5,1,3,2,1]=>[{2,5},{4},{3},{1}]=>[2,5,4,3,1]
[5,2,1,1,3]=>[{3,4},{2},{5},{1}]=>[3,4,2,5,1]
[5,2,1,3,1]=>[{3,5},{2},{4},{1}]=>[3,5,2,4,1]
[5,2,3,1,1]=>[{4,5},{2},{3},{1}]=>[4,5,2,3,1]
[5,3,1,1,2]=>[{3,4},{5},{2},{1}]=>[3,4,5,2,1]
[5,3,1,2,1]=>[{3,5},{4},{2},{1}]=>[3,5,4,2,1]
[5,3,2,1,1]=>[{4,5},{3},{2},{1}]=>[4,5,3,2,1]
[1,1,2,4,4]=>[{1,2},{3},{4,5}]=>[1,2,3,4,5]
[1,1,4,2,4]=>[{1,2},{4},{3,5}]=>[1,2,4,3,5]
[1,1,4,4,2]=>[{1,2},{5},{3,4}]=>[1,2,5,3,4]
[1,2,1,4,4]=>[{1,3},{2},{4,5}]=>[1,3,2,4,5]
[1,2,4,1,4]=>[{1,4},{2},{3,5}]=>[1,4,2,3,5]
[1,2,4,4,1]=>[{1,5},{2},{3,4}]=>[1,5,2,3,4]
[1,4,1,2,4]=>[{1,3},{4},{2,5}]=>[1,3,4,2,5]
[1,4,1,4,2]=>[{1,3},{5},{2,4}]=>[1,3,5,2,4]
[1,4,2,1,4]=>[{1,4},{3},{2,5}]=>[1,4,3,2,5]
[1,4,2,4,1]=>[{1,5},{3},{2,4}]=>[1,5,3,2,4]
[1,4,4,1,2]=>[{1,4},{5},{2,3}]=>[1,4,5,2,3]
[1,4,4,2,1]=>[{1,5},{4},{2,3}]=>[1,5,4,2,3]
[2,1,1,4,4]=>[{2,3},{1},{4,5}]=>[2,3,1,4,5]
[2,1,4,1,4]=>[{2,4},{1},{3,5}]=>[2,4,1,3,5]
[2,1,4,4,1]=>[{2,5},{1},{3,4}]=>[2,5,1,3,4]
[2,4,1,1,4]=>[{3,4},{1},{2,5}]=>[3,4,1,2,5]
[2,4,1,4,1]=>[{3,5},{1},{2,4}]=>[3,5,1,2,4]
[2,4,4,1,1]=>[{4,5},{1},{2,3}]=>[4,5,1,2,3]
[4,1,1,2,4]=>[{2,3},{4},{1,5}]=>[2,3,4,1,5]
[4,1,1,4,2]=>[{2,3},{5},{1,4}]=>[2,3,5,1,4]
[4,1,2,1,4]=>[{2,4},{3},{1,5}]=>[2,4,3,1,5]
[4,1,2,4,1]=>[{2,5},{3},{1,4}]=>[2,5,3,1,4]
[4,1,4,1,2]=>[{2,4},{5},{1,3}]=>[2,4,5,1,3]
[4,1,4,2,1]=>[{2,5},{4},{1,3}]=>[2,5,4,1,3]
[4,2,1,1,4]=>[{3,4},{2},{1,5}]=>[3,4,2,1,5]
[4,2,1,4,1]=>[{3,5},{2},{1,4}]=>[3,5,2,1,4]
[4,2,4,1,1]=>[{4,5},{2},{1,3}]=>[4,5,2,1,3]
[4,4,1,1,2]=>[{3,4},{5},{1,2}]=>[3,4,5,1,2]
[4,4,1,2,1]=>[{3,5},{4},{1,2}]=>[3,5,4,1,2]
[4,4,2,1,1]=>[{4,5},{3},{1,2}]=>[4,5,3,1,2]
[1,1,2,4,5]=>[{1,2},{3},{4},{5}]=>[1,2,3,4,5]
[1,1,2,5,4]=>[{1,2},{3},{5},{4}]=>[1,2,3,5,4]
[1,1,4,2,5]=>[{1,2},{4},{3},{5}]=>[1,2,4,3,5]
[1,1,4,5,2]=>[{1,2},{5},{3},{4}]=>[1,2,5,3,4]
[1,1,5,2,4]=>[{1,2},{4},{5},{3}]=>[1,2,4,5,3]
[1,1,5,4,2]=>[{1,2},{5},{4},{3}]=>[1,2,5,4,3]
[1,2,1,4,5]=>[{1,3},{2},{4},{5}]=>[1,3,2,4,5]
[1,2,1,5,4]=>[{1,3},{2},{5},{4}]=>[1,3,2,5,4]
[1,2,4,1,5]=>[{1,4},{2},{3},{5}]=>[1,4,2,3,5]
[1,2,4,5,1]=>[{1,5},{2},{3},{4}]=>[1,5,2,3,4]
[1,2,5,1,4]=>[{1,4},{2},{5},{3}]=>[1,4,2,5,3]
[1,2,5,4,1]=>[{1,5},{2},{4},{3}]=>[1,5,2,4,3]
[1,4,1,2,5]=>[{1,3},{4},{2},{5}]=>[1,3,4,2,5]
[1,4,1,5,2]=>[{1,3},{5},{2},{4}]=>[1,3,5,2,4]
[1,4,2,1,5]=>[{1,4},{3},{2},{5}]=>[1,4,3,2,5]
[1,4,2,5,1]=>[{1,5},{3},{2},{4}]=>[1,5,3,2,4]
[1,4,5,1,2]=>[{1,4},{5},{2},{3}]=>[1,4,5,2,3]
[1,4,5,2,1]=>[{1,5},{4},{2},{3}]=>[1,5,4,2,3]
[1,5,1,2,4]=>[{1,3},{4},{5},{2}]=>[1,3,4,5,2]
[1,5,1,4,2]=>[{1,3},{5},{4},{2}]=>[1,3,5,4,2]
[1,5,2,1,4]=>[{1,4},{3},{5},{2}]=>[1,4,3,5,2]
[1,5,2,4,1]=>[{1,5},{3},{4},{2}]=>[1,5,3,4,2]
[1,5,4,1,2]=>[{1,4},{5},{3},{2}]=>[1,4,5,3,2]
[1,5,4,2,1]=>[{1,5},{4},{3},{2}]=>[1,5,4,3,2]
[2,1,1,4,5]=>[{2,3},{1},{4},{5}]=>[2,3,1,4,5]
[2,1,1,5,4]=>[{2,3},{1},{5},{4}]=>[2,3,1,5,4]
[2,1,4,1,5]=>[{2,4},{1},{3},{5}]=>[2,4,1,3,5]
[2,1,4,5,1]=>[{2,5},{1},{3},{4}]=>[2,5,1,3,4]
[2,1,5,1,4]=>[{2,4},{1},{5},{3}]=>[2,4,1,5,3]
[2,1,5,4,1]=>[{2,5},{1},{4},{3}]=>[2,5,1,4,3]
[2,4,1,1,5]=>[{3,4},{1},{2},{5}]=>[3,4,1,2,5]
[2,4,1,5,1]=>[{3,5},{1},{2},{4}]=>[3,5,1,2,4]
[2,4,5,1,1]=>[{4,5},{1},{2},{3}]=>[4,5,1,2,3]
[2,5,1,1,4]=>[{3,4},{1},{5},{2}]=>[3,4,1,5,2]
[2,5,1,4,1]=>[{3,5},{1},{4},{2}]=>[3,5,1,4,2]
[2,5,4,1,1]=>[{4,5},{1},{3},{2}]=>[4,5,1,3,2]
[4,1,1,2,5]=>[{2,3},{4},{1},{5}]=>[2,3,4,1,5]
[4,1,1,5,2]=>[{2,3},{5},{1},{4}]=>[2,3,5,1,4]
[4,1,2,1,5]=>[{2,4},{3},{1},{5}]=>[2,4,3,1,5]
[4,1,2,5,1]=>[{2,5},{3},{1},{4}]=>[2,5,3,1,4]
[4,1,5,1,2]=>[{2,4},{5},{1},{3}]=>[2,4,5,1,3]
[4,1,5,2,1]=>[{2,5},{4},{1},{3}]=>[2,5,4,1,3]
[4,2,1,1,5]=>[{3,4},{2},{1},{5}]=>[3,4,2,1,5]
[4,2,1,5,1]=>[{3,5},{2},{1},{4}]=>[3,5,2,1,4]
[4,2,5,1,1]=>[{4,5},{2},{1},{3}]=>[4,5,2,1,3]
[4,5,1,1,2]=>[{3,4},{5},{1},{2}]=>[3,4,5,1,2]
[4,5,1,2,1]=>[{3,5},{4},{1},{2}]=>[3,5,4,1,2]
[4,5,2,1,1]=>[{4,5},{3},{1},{2}]=>[4,5,3,1,2]
[5,1,1,2,4]=>[{2,3},{4},{5},{1}]=>[2,3,4,5,1]
[5,1,1,4,2]=>[{2,3},{5},{4},{1}]=>[2,3,5,4,1]
[5,1,2,1,4]=>[{2,4},{3},{5},{1}]=>[2,4,3,5,1]
[5,1,2,4,1]=>[{2,5},{3},{4},{1}]=>[2,5,3,4,1]
[5,1,4,1,2]=>[{2,4},{5},{3},{1}]=>[2,4,5,3,1]
[5,1,4,2,1]=>[{2,5},{4},{3},{1}]=>[2,5,4,3,1]
[5,2,1,1,4]=>[{3,4},{2},{5},{1}]=>[3,4,2,5,1]
[5,2,1,4,1]=>[{3,5},{2},{4},{1}]=>[3,5,2,4,1]
[5,2,4,1,1]=>[{4,5},{2},{3},{1}]=>[4,5,2,3,1]
[5,4,1,1,2]=>[{3,4},{5},{2},{1}]=>[3,4,5,2,1]
[5,4,1,2,1]=>[{3,5},{4},{2},{1}]=>[3,5,4,2,1]
[5,4,2,1,1]=>[{4,5},{3},{2},{1}]=>[4,5,3,2,1]
[1,1,3,3,3]=>[{1,2},{3,4,5}]=>[1,2,3,4,5]
[1,3,1,3,3]=>[{1,3},{2,4,5}]=>[1,3,2,4,5]
[1,3,3,1,3]=>[{1,4},{2,3,5}]=>[1,4,2,3,5]
[1,3,3,3,1]=>[{1,5},{2,3,4}]=>[1,5,2,3,4]
[3,1,1,3,3]=>[{2,3},{1,4,5}]=>[2,3,1,4,5]
[3,1,3,1,3]=>[{2,4},{1,3,5}]=>[2,4,1,3,5]
[3,1,3,3,1]=>[{2,5},{1,3,4}]=>[2,5,1,3,4]
[3,3,1,1,3]=>[{3,4},{1,2,5}]=>[3,4,1,2,5]
[3,3,1,3,1]=>[{3,5},{1,2,4}]=>[3,5,1,2,4]
[3,3,3,1,1]=>[{4,5},{1,2,3}]=>[4,5,1,2,3]
[1,1,3,3,4]=>[{1,2},{3,4},{5}]=>[1,2,3,4,5]
[1,1,3,4,3]=>[{1,2},{3,5},{4}]=>[1,2,3,5,4]
[1,1,4,3,3]=>[{1,2},{4,5},{3}]=>[1,2,4,5,3]
[1,3,1,3,4]=>[{1,3},{2,4},{5}]=>[1,3,2,4,5]
[1,3,1,4,3]=>[{1,3},{2,5},{4}]=>[1,3,2,5,4]
[1,3,3,1,4]=>[{1,4},{2,3},{5}]=>[1,4,2,3,5]
[1,3,3,4,1]=>[{1,5},{2,3},{4}]=>[1,5,2,3,4]
[1,3,4,1,3]=>[{1,4},{2,5},{3}]=>[1,4,2,5,3]
[1,3,4,3,1]=>[{1,5},{2,4},{3}]=>[1,5,2,4,3]
[1,4,1,3,3]=>[{1,3},{4,5},{2}]=>[1,3,4,5,2]
[1,4,3,1,3]=>[{1,4},{3,5},{2}]=>[1,4,3,5,2]
[1,4,3,3,1]=>[{1,5},{3,4},{2}]=>[1,5,3,4,2]
[3,1,1,3,4]=>[{2,3},{1,4},{5}]=>[2,3,1,4,5]
[3,1,1,4,3]=>[{2,3},{1,5},{4}]=>[2,3,1,5,4]
[3,1,3,1,4]=>[{2,4},{1,3},{5}]=>[2,4,1,3,5]
[3,1,3,4,1]=>[{2,5},{1,3},{4}]=>[2,5,1,3,4]
[3,1,4,1,3]=>[{2,4},{1,5},{3}]=>[2,4,1,5,3]
[3,1,4,3,1]=>[{2,5},{1,4},{3}]=>[2,5,1,4,3]
[3,3,1,1,4]=>[{3,4},{1,2},{5}]=>[3,4,1,2,5]
[3,3,1,4,1]=>[{3,5},{1,2},{4}]=>[3,5,1,2,4]
[3,3,4,1,1]=>[{4,5},{1,2},{3}]=>[4,5,1,2,3]
[3,4,1,1,3]=>[{3,4},{1,5},{2}]=>[3,4,1,5,2]
[3,4,1,3,1]=>[{3,5},{1,4},{2}]=>[3,5,1,4,2]
[3,4,3,1,1]=>[{4,5},{1,3},{2}]=>[4,5,1,3,2]
[4,1,1,3,3]=>[{2,3},{4,5},{1}]=>[2,3,4,5,1]
[4,1,3,1,3]=>[{2,4},{3,5},{1}]=>[2,4,3,5,1]
[4,1,3,3,1]=>[{2,5},{3,4},{1}]=>[2,5,3,4,1]
[4,3,1,1,3]=>[{3,4},{2,5},{1}]=>[3,4,2,5,1]
[4,3,1,3,1]=>[{3,5},{2,4},{1}]=>[3,5,2,4,1]
[4,3,3,1,1]=>[{4,5},{2,3},{1}]=>[4,5,2,3,1]
[1,1,3,3,5]=>[{1,2},{3,4},{5}]=>[1,2,3,4,5]
[1,1,3,5,3]=>[{1,2},{3,5},{4}]=>[1,2,3,5,4]
[1,1,5,3,3]=>[{1,2},{4,5},{3}]=>[1,2,4,5,3]
[1,3,1,3,5]=>[{1,3},{2,4},{5}]=>[1,3,2,4,5]
[1,3,1,5,3]=>[{1,3},{2,5},{4}]=>[1,3,2,5,4]
[1,3,3,1,5]=>[{1,4},{2,3},{5}]=>[1,4,2,3,5]
[1,3,3,5,1]=>[{1,5},{2,3},{4}]=>[1,5,2,3,4]
[1,3,5,1,3]=>[{1,4},{2,5},{3}]=>[1,4,2,5,3]
[1,3,5,3,1]=>[{1,5},{2,4},{3}]=>[1,5,2,4,3]
[1,5,1,3,3]=>[{1,3},{4,5},{2}]=>[1,3,4,5,2]
[1,5,3,1,3]=>[{1,4},{3,5},{2}]=>[1,4,3,5,2]
[1,5,3,3,1]=>[{1,5},{3,4},{2}]=>[1,5,3,4,2]
[3,1,1,3,5]=>[{2,3},{1,4},{5}]=>[2,3,1,4,5]
[3,1,1,5,3]=>[{2,3},{1,5},{4}]=>[2,3,1,5,4]
[3,1,3,1,5]=>[{2,4},{1,3},{5}]=>[2,4,1,3,5]
[3,1,3,5,1]=>[{2,5},{1,3},{4}]=>[2,5,1,3,4]
[3,1,5,1,3]=>[{2,4},{1,5},{3}]=>[2,4,1,5,3]
[3,1,5,3,1]=>[{2,5},{1,4},{3}]=>[2,5,1,4,3]
[3,3,1,1,5]=>[{3,4},{1,2},{5}]=>[3,4,1,2,5]
[3,3,1,5,1]=>[{3,5},{1,2},{4}]=>[3,5,1,2,4]
[3,3,5,1,1]=>[{4,5},{1,2},{3}]=>[4,5,1,2,3]
[3,5,1,1,3]=>[{3,4},{1,5},{2}]=>[3,4,1,5,2]
[3,5,1,3,1]=>[{3,5},{1,4},{2}]=>[3,5,1,4,2]
[3,5,3,1,1]=>[{4,5},{1,3},{2}]=>[4,5,1,3,2]
[5,1,1,3,3]=>[{2,3},{4,5},{1}]=>[2,3,4,5,1]
[5,1,3,1,3]=>[{2,4},{3,5},{1}]=>[2,4,3,5,1]
[5,1,3,3,1]=>[{2,5},{3,4},{1}]=>[2,5,3,4,1]
[5,3,1,1,3]=>[{3,4},{2,5},{1}]=>[3,4,2,5,1]
[5,3,1,3,1]=>[{3,5},{2,4},{1}]=>[3,5,2,4,1]
[5,3,3,1,1]=>[{4,5},{2,3},{1}]=>[4,5,2,3,1]
[1,1,3,4,4]=>[{1,2},{3},{4,5}]=>[1,2,3,4,5]
[1,1,4,3,4]=>[{1,2},{4},{3,5}]=>[1,2,4,3,5]
[1,1,4,4,3]=>[{1,2},{5},{3,4}]=>[1,2,5,3,4]
[1,3,1,4,4]=>[{1,3},{2},{4,5}]=>[1,3,2,4,5]
[1,3,4,1,4]=>[{1,4},{2},{3,5}]=>[1,4,2,3,5]
[1,3,4,4,1]=>[{1,5},{2},{3,4}]=>[1,5,2,3,4]
[1,4,1,3,4]=>[{1,3},{4},{2,5}]=>[1,3,4,2,5]
[1,4,1,4,3]=>[{1,3},{5},{2,4}]=>[1,3,5,2,4]
[1,4,3,1,4]=>[{1,4},{3},{2,5}]=>[1,4,3,2,5]
[1,4,3,4,1]=>[{1,5},{3},{2,4}]=>[1,5,3,2,4]
[1,4,4,1,3]=>[{1,4},{5},{2,3}]=>[1,4,5,2,3]
[1,4,4,3,1]=>[{1,5},{4},{2,3}]=>[1,5,4,2,3]
[3,1,1,4,4]=>[{2,3},{1},{4,5}]=>[2,3,1,4,5]
[3,1,4,1,4]=>[{2,4},{1},{3,5}]=>[2,4,1,3,5]
[3,1,4,4,1]=>[{2,5},{1},{3,4}]=>[2,5,1,3,4]
[3,4,1,1,4]=>[{3,4},{1},{2,5}]=>[3,4,1,2,5]
[3,4,1,4,1]=>[{3,5},{1},{2,4}]=>[3,5,1,2,4]
[3,4,4,1,1]=>[{4,5},{1},{2,3}]=>[4,5,1,2,3]
[4,1,1,3,4]=>[{2,3},{4},{1,5}]=>[2,3,4,1,5]
[4,1,1,4,3]=>[{2,3},{5},{1,4}]=>[2,3,5,1,4]
[4,1,3,1,4]=>[{2,4},{3},{1,5}]=>[2,4,3,1,5]
[4,1,3,4,1]=>[{2,5},{3},{1,4}]=>[2,5,3,1,4]
[4,1,4,1,3]=>[{2,4},{5},{1,3}]=>[2,4,5,1,3]
[4,1,4,3,1]=>[{2,5},{4},{1,3}]=>[2,5,4,1,3]
[4,3,1,1,4]=>[{3,4},{2},{1,5}]=>[3,4,2,1,5]
[4,3,1,4,1]=>[{3,5},{2},{1,4}]=>[3,5,2,1,4]
[4,3,4,1,1]=>[{4,5},{2},{1,3}]=>[4,5,2,1,3]
[4,4,1,1,3]=>[{3,4},{5},{1,2}]=>[3,4,5,1,2]
[4,4,1,3,1]=>[{3,5},{4},{1,2}]=>[3,5,4,1,2]
[4,4,3,1,1]=>[{4,5},{3},{1,2}]=>[4,5,3,1,2]
[1,1,3,4,5]=>[{1,2},{3},{4},{5}]=>[1,2,3,4,5]
[1,1,3,5,4]=>[{1,2},{3},{5},{4}]=>[1,2,3,5,4]
[1,1,4,3,5]=>[{1,2},{4},{3},{5}]=>[1,2,4,3,5]
[1,1,4,5,3]=>[{1,2},{5},{3},{4}]=>[1,2,5,3,4]
[1,1,5,3,4]=>[{1,2},{4},{5},{3}]=>[1,2,4,5,3]
[1,1,5,4,3]=>[{1,2},{5},{4},{3}]=>[1,2,5,4,3]
[1,3,1,4,5]=>[{1,3},{2},{4},{5}]=>[1,3,2,4,5]
[1,3,1,5,4]=>[{1,3},{2},{5},{4}]=>[1,3,2,5,4]
[1,3,4,1,5]=>[{1,4},{2},{3},{5}]=>[1,4,2,3,5]
[1,3,4,5,1]=>[{1,5},{2},{3},{4}]=>[1,5,2,3,4]
[1,3,5,1,4]=>[{1,4},{2},{5},{3}]=>[1,4,2,5,3]
[1,3,5,4,1]=>[{1,5},{2},{4},{3}]=>[1,5,2,4,3]
[1,4,1,3,5]=>[{1,3},{4},{2},{5}]=>[1,3,4,2,5]
[1,4,1,5,3]=>[{1,3},{5},{2},{4}]=>[1,3,5,2,4]
[1,4,3,1,5]=>[{1,4},{3},{2},{5}]=>[1,4,3,2,5]
[1,4,3,5,1]=>[{1,5},{3},{2},{4}]=>[1,5,3,2,4]
[1,4,5,1,3]=>[{1,4},{5},{2},{3}]=>[1,4,5,2,3]
[1,4,5,3,1]=>[{1,5},{4},{2},{3}]=>[1,5,4,2,3]
[1,5,1,3,4]=>[{1,3},{4},{5},{2}]=>[1,3,4,5,2]
[1,5,1,4,3]=>[{1,3},{5},{4},{2}]=>[1,3,5,4,2]
[1,5,3,1,4]=>[{1,4},{3},{5},{2}]=>[1,4,3,5,2]
[1,5,3,4,1]=>[{1,5},{3},{4},{2}]=>[1,5,3,4,2]
[1,5,4,1,3]=>[{1,4},{5},{3},{2}]=>[1,4,5,3,2]
[1,5,4,3,1]=>[{1,5},{4},{3},{2}]=>[1,5,4,3,2]
[3,1,1,4,5]=>[{2,3},{1},{4},{5}]=>[2,3,1,4,5]
[3,1,1,5,4]=>[{2,3},{1},{5},{4}]=>[2,3,1,5,4]
[3,1,4,1,5]=>[{2,4},{1},{3},{5}]=>[2,4,1,3,5]
[3,1,4,5,1]=>[{2,5},{1},{3},{4}]=>[2,5,1,3,4]
[3,1,5,1,4]=>[{2,4},{1},{5},{3}]=>[2,4,1,5,3]
[3,1,5,4,1]=>[{2,5},{1},{4},{3}]=>[2,5,1,4,3]
[3,4,1,1,5]=>[{3,4},{1},{2},{5}]=>[3,4,1,2,5]
[3,4,1,5,1]=>[{3,5},{1},{2},{4}]=>[3,5,1,2,4]
[3,4,5,1,1]=>[{4,5},{1},{2},{3}]=>[4,5,1,2,3]
[3,5,1,1,4]=>[{3,4},{1},{5},{2}]=>[3,4,1,5,2]
[3,5,1,4,1]=>[{3,5},{1},{4},{2}]=>[3,5,1,4,2]
[3,5,4,1,1]=>[{4,5},{1},{3},{2}]=>[4,5,1,3,2]
[4,1,1,3,5]=>[{2,3},{4},{1},{5}]=>[2,3,4,1,5]
[4,1,1,5,3]=>[{2,3},{5},{1},{4}]=>[2,3,5,1,4]
[4,1,3,1,5]=>[{2,4},{3},{1},{5}]=>[2,4,3,1,5]
[4,1,3,5,1]=>[{2,5},{3},{1},{4}]=>[2,5,3,1,4]
[4,1,5,1,3]=>[{2,4},{5},{1},{3}]=>[2,4,5,1,3]
[4,1,5,3,1]=>[{2,5},{4},{1},{3}]=>[2,5,4,1,3]
[4,3,1,1,5]=>[{3,4},{2},{1},{5}]=>[3,4,2,1,5]
[4,3,1,5,1]=>[{3,5},{2},{1},{4}]=>[3,5,2,1,4]
[4,3,5,1,1]=>[{4,5},{2},{1},{3}]=>[4,5,2,1,3]
[4,5,1,1,3]=>[{3,4},{5},{1},{2}]=>[3,4,5,1,2]
[4,5,1,3,1]=>[{3,5},{4},{1},{2}]=>[3,5,4,1,2]
[4,5,3,1,1]=>[{4,5},{3},{1},{2}]=>[4,5,3,1,2]
[5,1,1,3,4]=>[{2,3},{4},{5},{1}]=>[2,3,4,5,1]
[5,1,1,4,3]=>[{2,3},{5},{4},{1}]=>[2,3,5,4,1]
[5,1,3,1,4]=>[{2,4},{3},{5},{1}]=>[2,4,3,5,1]
[5,1,3,4,1]=>[{2,5},{3},{4},{1}]=>[2,5,3,4,1]
[5,1,4,1,3]=>[{2,4},{5},{3},{1}]=>[2,4,5,3,1]
[5,1,4,3,1]=>[{2,5},{4},{3},{1}]=>[2,5,4,3,1]
[5,3,1,1,4]=>[{3,4},{2},{5},{1}]=>[3,4,2,5,1]
[5,3,1,4,1]=>[{3,5},{2},{4},{1}]=>[3,5,2,4,1]
[5,3,4,1,1]=>[{4,5},{2},{3},{1}]=>[4,5,2,3,1]
[5,4,1,1,3]=>[{3,4},{5},{2},{1}]=>[3,4,5,2,1]
[5,4,1,3,1]=>[{3,5},{4},{2},{1}]=>[3,5,4,2,1]
[5,4,3,1,1]=>[{4,5},{3},{2},{1}]=>[4,5,3,2,1]
[1,2,2,2,2]=>[{1},{2,3,4,5}]=>[1,2,3,4,5]
[2,1,2,2,2]=>[{2},{1,3,4,5}]=>[2,1,3,4,5]
[2,2,1,2,2]=>[{3},{1,2,4,5}]=>[3,1,2,4,5]
[2,2,2,1,2]=>[{4},{1,2,3,5}]=>[4,1,2,3,5]
[2,2,2,2,1]=>[{5},{1,2,3,4}]=>[5,1,2,3,4]
[1,2,2,2,3]=>[{1},{2,3,4},{5}]=>[1,2,3,4,5]
[1,2,2,3,2]=>[{1},{2,3,5},{4}]=>[1,2,3,5,4]
[1,2,3,2,2]=>[{1},{2,4,5},{3}]=>[1,2,4,5,3]
[1,3,2,2,2]=>[{1},{3,4,5},{2}]=>[1,3,4,5,2]
[2,1,2,2,3]=>[{2},{1,3,4},{5}]=>[2,1,3,4,5]
[2,1,2,3,2]=>[{2},{1,3,5},{4}]=>[2,1,3,5,4]
[2,1,3,2,2]=>[{2},{1,4,5},{3}]=>[2,1,4,5,3]
[2,2,1,2,3]=>[{3},{1,2,4},{5}]=>[3,1,2,4,5]
[2,2,1,3,2]=>[{3},{1,2,5},{4}]=>[3,1,2,5,4]
[2,2,2,1,3]=>[{4},{1,2,3},{5}]=>[4,1,2,3,5]
[2,2,2,3,1]=>[{5},{1,2,3},{4}]=>[5,1,2,3,4]
[2,2,3,1,2]=>[{4},{1,2,5},{3}]=>[4,1,2,5,3]
[2,2,3,2,1]=>[{5},{1,2,4},{3}]=>[5,1,2,4,3]
[2,3,1,2,2]=>[{3},{1,4,5},{2}]=>[3,1,4,5,2]
[2,3,2,1,2]=>[{4},{1,3,5},{2}]=>[4,1,3,5,2]
[2,3,2,2,1]=>[{5},{1,3,4},{2}]=>[5,1,3,4,2]
[3,1,2,2,2]=>[{2},{3,4,5},{1}]=>[2,3,4,5,1]
[3,2,1,2,2]=>[{3},{2,4,5},{1}]=>[3,2,4,5,1]
[3,2,2,1,2]=>[{4},{2,3,5},{1}]=>[4,2,3,5,1]
[3,2,2,2,1]=>[{5},{2,3,4},{1}]=>[5,2,3,4,1]
[1,2,2,2,4]=>[{1},{2,3,4},{5}]=>[1,2,3,4,5]
[1,2,2,4,2]=>[{1},{2,3,5},{4}]=>[1,2,3,5,4]
[1,2,4,2,2]=>[{1},{2,4,5},{3}]=>[1,2,4,5,3]
[1,4,2,2,2]=>[{1},{3,4,5},{2}]=>[1,3,4,5,2]
[2,1,2,2,4]=>[{2},{1,3,4},{5}]=>[2,1,3,4,5]
[2,1,2,4,2]=>[{2},{1,3,5},{4}]=>[2,1,3,5,4]
[2,1,4,2,2]=>[{2},{1,4,5},{3}]=>[2,1,4,5,3]
[2,2,1,2,4]=>[{3},{1,2,4},{5}]=>[3,1,2,4,5]
[2,2,1,4,2]=>[{3},{1,2,5},{4}]=>[3,1,2,5,4]
[2,2,2,1,4]=>[{4},{1,2,3},{5}]=>[4,1,2,3,5]
[2,2,2,4,1]=>[{5},{1,2,3},{4}]=>[5,1,2,3,4]
[2,2,4,1,2]=>[{4},{1,2,5},{3}]=>[4,1,2,5,3]
[2,2,4,2,1]=>[{5},{1,2,4},{3}]=>[5,1,2,4,3]
[2,4,1,2,2]=>[{3},{1,4,5},{2}]=>[3,1,4,5,2]
[2,4,2,1,2]=>[{4},{1,3,5},{2}]=>[4,1,3,5,2]
[2,4,2,2,1]=>[{5},{1,3,4},{2}]=>[5,1,3,4,2]
[4,1,2,2,2]=>[{2},{3,4,5},{1}]=>[2,3,4,5,1]
[4,2,1,2,2]=>[{3},{2,4,5},{1}]=>[3,2,4,5,1]
[4,2,2,1,2]=>[{4},{2,3,5},{1}]=>[4,2,3,5,1]
[4,2,2,2,1]=>[{5},{2,3,4},{1}]=>[5,2,3,4,1]
[1,2,2,2,5]=>[{1},{2,3,4},{5}]=>[1,2,3,4,5]
[1,2,2,5,2]=>[{1},{2,3,5},{4}]=>[1,2,3,5,4]
[1,2,5,2,2]=>[{1},{2,4,5},{3}]=>[1,2,4,5,3]
[1,5,2,2,2]=>[{1},{3,4,5},{2}]=>[1,3,4,5,2]
[2,1,2,2,5]=>[{2},{1,3,4},{5}]=>[2,1,3,4,5]
[2,1,2,5,2]=>[{2},{1,3,5},{4}]=>[2,1,3,5,4]
[2,1,5,2,2]=>[{2},{1,4,5},{3}]=>[2,1,4,5,3]
[2,2,1,2,5]=>[{3},{1,2,4},{5}]=>[3,1,2,4,5]
[2,2,1,5,2]=>[{3},{1,2,5},{4}]=>[3,1,2,5,4]
[2,2,2,1,5]=>[{4},{1,2,3},{5}]=>[4,1,2,3,5]
[2,2,2,5,1]=>[{5},{1,2,3},{4}]=>[5,1,2,3,4]
[2,2,5,1,2]=>[{4},{1,2,5},{3}]=>[4,1,2,5,3]
[2,2,5,2,1]=>[{5},{1,2,4},{3}]=>[5,1,2,4,3]
[2,5,1,2,2]=>[{3},{1,4,5},{2}]=>[3,1,4,5,2]
[2,5,2,1,2]=>[{4},{1,3,5},{2}]=>[4,1,3,5,2]
[2,5,2,2,1]=>[{5},{1,3,4},{2}]=>[5,1,3,4,2]
[5,1,2,2,2]=>[{2},{3,4,5},{1}]=>[2,3,4,5,1]
[5,2,1,2,2]=>[{3},{2,4,5},{1}]=>[3,2,4,5,1]
[5,2,2,1,2]=>[{4},{2,3,5},{1}]=>[4,2,3,5,1]
[5,2,2,2,1]=>[{5},{2,3,4},{1}]=>[5,2,3,4,1]
[1,2,2,3,3]=>[{1},{2,3},{4,5}]=>[1,2,3,4,5]
[1,2,3,2,3]=>[{1},{2,4},{3,5}]=>[1,2,4,3,5]
[1,2,3,3,2]=>[{1},{2,5},{3,4}]=>[1,2,5,3,4]
[1,3,2,2,3]=>[{1},{3,4},{2,5}]=>[1,3,4,2,5]
[1,3,2,3,2]=>[{1},{3,5},{2,4}]=>[1,3,5,2,4]
[1,3,3,2,2]=>[{1},{4,5},{2,3}]=>[1,4,5,2,3]
[2,1,2,3,3]=>[{2},{1,3},{4,5}]=>[2,1,3,4,5]
[2,1,3,2,3]=>[{2},{1,4},{3,5}]=>[2,1,4,3,5]
[2,1,3,3,2]=>[{2},{1,5},{3,4}]=>[2,1,5,3,4]
[2,2,1,3,3]=>[{3},{1,2},{4,5}]=>[3,1,2,4,5]
[2,2,3,1,3]=>[{4},{1,2},{3,5}]=>[4,1,2,3,5]
[2,2,3,3,1]=>[{5},{1,2},{3,4}]=>[5,1,2,3,4]
[2,3,1,2,3]=>[{3},{1,4},{2,5}]=>[3,1,4,2,5]
[2,3,1,3,2]=>[{3},{1,5},{2,4}]=>[3,1,5,2,4]
[2,3,2,1,3]=>[{4},{1,3},{2,5}]=>[4,1,3,2,5]
[2,3,2,3,1]=>[{5},{1,3},{2,4}]=>[5,1,3,2,4]
[2,3,3,1,2]=>[{4},{1,5},{2,3}]=>[4,1,5,2,3]
[2,3,3,2,1]=>[{5},{1,4},{2,3}]=>[5,1,4,2,3]
[3,1,2,2,3]=>[{2},{3,4},{1,5}]=>[2,3,4,1,5]
[3,1,2,3,2]=>[{2},{3,5},{1,4}]=>[2,3,5,1,4]
[3,1,3,2,2]=>[{2},{4,5},{1,3}]=>[2,4,5,1,3]
[3,2,1,2,3]=>[{3},{2,4},{1,5}]=>[3,2,4,1,5]
[3,2,1,3,2]=>[{3},{2,5},{1,4}]=>[3,2,5,1,4]
[3,2,2,1,3]=>[{4},{2,3},{1,5}]=>[4,2,3,1,5]
[3,2,2,3,1]=>[{5},{2,3},{1,4}]=>[5,2,3,1,4]
[3,2,3,1,2]=>[{4},{2,5},{1,3}]=>[4,2,5,1,3]
[3,2,3,2,1]=>[{5},{2,4},{1,3}]=>[5,2,4,1,3]
[3,3,1,2,2]=>[{3},{4,5},{1,2}]=>[3,4,5,1,2]
[3,3,2,1,2]=>[{4},{3,5},{1,2}]=>[4,3,5,1,2]
[3,3,2,2,1]=>[{5},{3,4},{1,2}]=>[5,3,4,1,2]
[1,2,2,3,4]=>[{1},{2,3},{4},{5}]=>[1,2,3,4,5]
[1,2,2,4,3]=>[{1},{2,3},{5},{4}]=>[1,2,3,5,4]
[1,2,3,2,4]=>[{1},{2,4},{3},{5}]=>[1,2,4,3,5]
[1,2,3,4,2]=>[{1},{2,5},{3},{4}]=>[1,2,5,3,4]
[1,2,4,2,3]=>[{1},{2,4},{5},{3}]=>[1,2,4,5,3]
[1,2,4,3,2]=>[{1},{2,5},{4},{3}]=>[1,2,5,4,3]
[1,3,2,2,4]=>[{1},{3,4},{2},{5}]=>[1,3,4,2,5]
[1,3,2,4,2]=>[{1},{3,5},{2},{4}]=>[1,3,5,2,4]
[1,3,4,2,2]=>[{1},{4,5},{2},{3}]=>[1,4,5,2,3]
[1,4,2,2,3]=>[{1},{3,4},{5},{2}]=>[1,3,4,5,2]
[1,4,2,3,2]=>[{1},{3,5},{4},{2}]=>[1,3,5,4,2]
[1,4,3,2,2]=>[{1},{4,5},{3},{2}]=>[1,4,5,3,2]
[2,1,2,3,4]=>[{2},{1,3},{4},{5}]=>[2,1,3,4,5]
[2,1,2,4,3]=>[{2},{1,3},{5},{4}]=>[2,1,3,5,4]
[2,1,3,2,4]=>[{2},{1,4},{3},{5}]=>[2,1,4,3,5]
[2,1,3,4,2]=>[{2},{1,5},{3},{4}]=>[2,1,5,3,4]
[2,1,4,2,3]=>[{2},{1,4},{5},{3}]=>[2,1,4,5,3]
[2,1,4,3,2]=>[{2},{1,5},{4},{3}]=>[2,1,5,4,3]
[2,2,1,3,4]=>[{3},{1,2},{4},{5}]=>[3,1,2,4,5]
[2,2,1,4,3]=>[{3},{1,2},{5},{4}]=>[3,1,2,5,4]
[2,2,3,1,4]=>[{4},{1,2},{3},{5}]=>[4,1,2,3,5]
[2,2,3,4,1]=>[{5},{1,2},{3},{4}]=>[5,1,2,3,4]
[2,2,4,1,3]=>[{4},{1,2},{5},{3}]=>[4,1,2,5,3]
[2,2,4,3,1]=>[{5},{1,2},{4},{3}]=>[5,1,2,4,3]
[2,3,1,2,4]=>[{3},{1,4},{2},{5}]=>[3,1,4,2,5]
[2,3,1,4,2]=>[{3},{1,5},{2},{4}]=>[3,1,5,2,4]
[2,3,2,1,4]=>[{4},{1,3},{2},{5}]=>[4,1,3,2,5]
[2,3,2,4,1]=>[{5},{1,3},{2},{4}]=>[5,1,3,2,4]
[2,3,4,1,2]=>[{4},{1,5},{2},{3}]=>[4,1,5,2,3]
[2,3,4,2,1]=>[{5},{1,4},{2},{3}]=>[5,1,4,2,3]
[2,4,1,2,3]=>[{3},{1,4},{5},{2}]=>[3,1,4,5,2]
[2,4,1,3,2]=>[{3},{1,5},{4},{2}]=>[3,1,5,4,2]
[2,4,2,1,3]=>[{4},{1,3},{5},{2}]=>[4,1,3,5,2]
[2,4,2,3,1]=>[{5},{1,3},{4},{2}]=>[5,1,3,4,2]
[2,4,3,1,2]=>[{4},{1,5},{3},{2}]=>[4,1,5,3,2]
[2,4,3,2,1]=>[{5},{1,4},{3},{2}]=>[5,1,4,3,2]
[3,1,2,2,4]=>[{2},{3,4},{1},{5}]=>[2,3,4,1,5]
[3,1,2,4,2]=>[{2},{3,5},{1},{4}]=>[2,3,5,1,4]
[3,1,4,2,2]=>[{2},{4,5},{1},{3}]=>[2,4,5,1,3]
[3,2,1,2,4]=>[{3},{2,4},{1},{5}]=>[3,2,4,1,5]
[3,2,1,4,2]=>[{3},{2,5},{1},{4}]=>[3,2,5,1,4]
[3,2,2,1,4]=>[{4},{2,3},{1},{5}]=>[4,2,3,1,5]
[3,2,2,4,1]=>[{5},{2,3},{1},{4}]=>[5,2,3,1,4]
[3,2,4,1,2]=>[{4},{2,5},{1},{3}]=>[4,2,5,1,3]
[3,2,4,2,1]=>[{5},{2,4},{1},{3}]=>[5,2,4,1,3]
[3,4,1,2,2]=>[{3},{4,5},{1},{2}]=>[3,4,5,1,2]
[3,4,2,1,2]=>[{4},{3,5},{1},{2}]=>[4,3,5,1,2]
[3,4,2,2,1]=>[{5},{3,4},{1},{2}]=>[5,3,4,1,2]
[4,1,2,2,3]=>[{2},{3,4},{5},{1}]=>[2,3,4,5,1]
[4,1,2,3,2]=>[{2},{3,5},{4},{1}]=>[2,3,5,4,1]
[4,1,3,2,2]=>[{2},{4,5},{3},{1}]=>[2,4,5,3,1]
[4,2,1,2,3]=>[{3},{2,4},{5},{1}]=>[3,2,4,5,1]
[4,2,1,3,2]=>[{3},{2,5},{4},{1}]=>[3,2,5,4,1]
[4,2,2,1,3]=>[{4},{2,3},{5},{1}]=>[4,2,3,5,1]
[4,2,2,3,1]=>[{5},{2,3},{4},{1}]=>[5,2,3,4,1]
[4,2,3,1,2]=>[{4},{2,5},{3},{1}]=>[4,2,5,3,1]
[4,2,3,2,1]=>[{5},{2,4},{3},{1}]=>[5,2,4,3,1]
[4,3,1,2,2]=>[{3},{4,5},{2},{1}]=>[3,4,5,2,1]
[4,3,2,1,2]=>[{4},{3,5},{2},{1}]=>[4,3,5,2,1]
[4,3,2,2,1]=>[{5},{3,4},{2},{1}]=>[5,3,4,2,1]
[1,2,2,3,5]=>[{1},{2,3},{4},{5}]=>[1,2,3,4,5]
[1,2,2,5,3]=>[{1},{2,3},{5},{4}]=>[1,2,3,5,4]
[1,2,3,2,5]=>[{1},{2,4},{3},{5}]=>[1,2,4,3,5]
[1,2,3,5,2]=>[{1},{2,5},{3},{4}]=>[1,2,5,3,4]
[1,2,5,2,3]=>[{1},{2,4},{5},{3}]=>[1,2,4,5,3]
[1,2,5,3,2]=>[{1},{2,5},{4},{3}]=>[1,2,5,4,3]
[1,3,2,2,5]=>[{1},{3,4},{2},{5}]=>[1,3,4,2,5]
[1,3,2,5,2]=>[{1},{3,5},{2},{4}]=>[1,3,5,2,4]
[1,3,5,2,2]=>[{1},{4,5},{2},{3}]=>[1,4,5,2,3]
[1,5,2,2,3]=>[{1},{3,4},{5},{2}]=>[1,3,4,5,2]
[1,5,2,3,2]=>[{1},{3,5},{4},{2}]=>[1,3,5,4,2]
[1,5,3,2,2]=>[{1},{4,5},{3},{2}]=>[1,4,5,3,2]
[2,1,2,3,5]=>[{2},{1,3},{4},{5}]=>[2,1,3,4,5]
[2,1,2,5,3]=>[{2},{1,3},{5},{4}]=>[2,1,3,5,4]
[2,1,3,2,5]=>[{2},{1,4},{3},{5}]=>[2,1,4,3,5]
[2,1,3,5,2]=>[{2},{1,5},{3},{4}]=>[2,1,5,3,4]
[2,1,5,2,3]=>[{2},{1,4},{5},{3}]=>[2,1,4,5,3]
[2,1,5,3,2]=>[{2},{1,5},{4},{3}]=>[2,1,5,4,3]
[2,2,1,3,5]=>[{3},{1,2},{4},{5}]=>[3,1,2,4,5]
[2,2,1,5,3]=>[{3},{1,2},{5},{4}]=>[3,1,2,5,4]
[2,2,3,1,5]=>[{4},{1,2},{3},{5}]=>[4,1,2,3,5]
[2,2,3,5,1]=>[{5},{1,2},{3},{4}]=>[5,1,2,3,4]
[2,2,5,1,3]=>[{4},{1,2},{5},{3}]=>[4,1,2,5,3]
[2,2,5,3,1]=>[{5},{1,2},{4},{3}]=>[5,1,2,4,3]
[2,3,1,2,5]=>[{3},{1,4},{2},{5}]=>[3,1,4,2,5]
[2,3,1,5,2]=>[{3},{1,5},{2},{4}]=>[3,1,5,2,4]
[2,3,2,1,5]=>[{4},{1,3},{2},{5}]=>[4,1,3,2,5]
[2,3,2,5,1]=>[{5},{1,3},{2},{4}]=>[5,1,3,2,4]
[2,3,5,1,2]=>[{4},{1,5},{2},{3}]=>[4,1,5,2,3]
[2,3,5,2,1]=>[{5},{1,4},{2},{3}]=>[5,1,4,2,3]
[2,5,1,2,3]=>[{3},{1,4},{5},{2}]=>[3,1,4,5,2]
[2,5,1,3,2]=>[{3},{1,5},{4},{2}]=>[3,1,5,4,2]
[2,5,2,1,3]=>[{4},{1,3},{5},{2}]=>[4,1,3,5,2]
[2,5,2,3,1]=>[{5},{1,3},{4},{2}]=>[5,1,3,4,2]
[2,5,3,1,2]=>[{4},{1,5},{3},{2}]=>[4,1,5,3,2]
[2,5,3,2,1]=>[{5},{1,4},{3},{2}]=>[5,1,4,3,2]
[3,1,2,2,5]=>[{2},{3,4},{1},{5}]=>[2,3,4,1,5]
[3,1,2,5,2]=>[{2},{3,5},{1},{4}]=>[2,3,5,1,4]
[3,1,5,2,2]=>[{2},{4,5},{1},{3}]=>[2,4,5,1,3]
[3,2,1,2,5]=>[{3},{2,4},{1},{5}]=>[3,2,4,1,5]
[3,2,1,5,2]=>[{3},{2,5},{1},{4}]=>[3,2,5,1,4]
[3,2,2,1,5]=>[{4},{2,3},{1},{5}]=>[4,2,3,1,5]
[3,2,2,5,1]=>[{5},{2,3},{1},{4}]=>[5,2,3,1,4]
[3,2,5,1,2]=>[{4},{2,5},{1},{3}]=>[4,2,5,1,3]
[3,2,5,2,1]=>[{5},{2,4},{1},{3}]=>[5,2,4,1,3]
[3,5,1,2,2]=>[{3},{4,5},{1},{2}]=>[3,4,5,1,2]
[3,5,2,1,2]=>[{4},{3,5},{1},{2}]=>[4,3,5,1,2]
[3,5,2,2,1]=>[{5},{3,4},{1},{2}]=>[5,3,4,1,2]
[5,1,2,2,3]=>[{2},{3,4},{5},{1}]=>[2,3,4,5,1]
[5,1,2,3,2]=>[{2},{3,5},{4},{1}]=>[2,3,5,4,1]
[5,1,3,2,2]=>[{2},{4,5},{3},{1}]=>[2,4,5,3,1]
[5,2,1,2,3]=>[{3},{2,4},{5},{1}]=>[3,2,4,5,1]
[5,2,1,3,2]=>[{3},{2,5},{4},{1}]=>[3,2,5,4,1]
[5,2,2,1,3]=>[{4},{2,3},{5},{1}]=>[4,2,3,5,1]
[5,2,2,3,1]=>[{5},{2,3},{4},{1}]=>[5,2,3,4,1]
[5,2,3,1,2]=>[{4},{2,5},{3},{1}]=>[4,2,5,3,1]
[5,2,3,2,1]=>[{5},{2,4},{3},{1}]=>[5,2,4,3,1]
[5,3,1,2,2]=>[{3},{4,5},{2},{1}]=>[3,4,5,2,1]
[5,3,2,1,2]=>[{4},{3,5},{2},{1}]=>[4,3,5,2,1]
[5,3,2,2,1]=>[{5},{3,4},{2},{1}]=>[5,3,4,2,1]
[1,2,2,4,4]=>[{1},{2,3},{4,5}]=>[1,2,3,4,5]
[1,2,4,2,4]=>[{1},{2,4},{3,5}]=>[1,2,4,3,5]
[1,2,4,4,2]=>[{1},{2,5},{3,4}]=>[1,2,5,3,4]
[1,4,2,2,4]=>[{1},{3,4},{2,5}]=>[1,3,4,2,5]
[1,4,2,4,2]=>[{1},{3,5},{2,4}]=>[1,3,5,2,4]
[1,4,4,2,2]=>[{1},{4,5},{2,3}]=>[1,4,5,2,3]
[2,1,2,4,4]=>[{2},{1,3},{4,5}]=>[2,1,3,4,5]
[2,1,4,2,4]=>[{2},{1,4},{3,5}]=>[2,1,4,3,5]
[2,1,4,4,2]=>[{2},{1,5},{3,4}]=>[2,1,5,3,4]
[2,2,1,4,4]=>[{3},{1,2},{4,5}]=>[3,1,2,4,5]
[2,2,4,1,4]=>[{4},{1,2},{3,5}]=>[4,1,2,3,5]
[2,2,4,4,1]=>[{5},{1,2},{3,4}]=>[5,1,2,3,4]
[2,4,1,2,4]=>[{3},{1,4},{2,5}]=>[3,1,4,2,5]
[2,4,1,4,2]=>[{3},{1,5},{2,4}]=>[3,1,5,2,4]
[2,4,2,1,4]=>[{4},{1,3},{2,5}]=>[4,1,3,2,5]
[2,4,2,4,1]=>[{5},{1,3},{2,4}]=>[5,1,3,2,4]
[2,4,4,1,2]=>[{4},{1,5},{2,3}]=>[4,1,5,2,3]
[2,4,4,2,1]=>[{5},{1,4},{2,3}]=>[5,1,4,2,3]
[4,1,2,2,4]=>[{2},{3,4},{1,5}]=>[2,3,4,1,5]
[4,1,2,4,2]=>[{2},{3,5},{1,4}]=>[2,3,5,1,4]
[4,1,4,2,2]=>[{2},{4,5},{1,3}]=>[2,4,5,1,3]
[4,2,1,2,4]=>[{3},{2,4},{1,5}]=>[3,2,4,1,5]
[4,2,1,4,2]=>[{3},{2,5},{1,4}]=>[3,2,5,1,4]
[4,2,2,1,4]=>[{4},{2,3},{1,5}]=>[4,2,3,1,5]
[4,2,2,4,1]=>[{5},{2,3},{1,4}]=>[5,2,3,1,4]
[4,2,4,1,2]=>[{4},{2,5},{1,3}]=>[4,2,5,1,3]
[4,2,4,2,1]=>[{5},{2,4},{1,3}]=>[5,2,4,1,3]
[4,4,1,2,2]=>[{3},{4,5},{1,2}]=>[3,4,5,1,2]
[4,4,2,1,2]=>[{4},{3,5},{1,2}]=>[4,3,5,1,2]
[4,4,2,2,1]=>[{5},{3,4},{1,2}]=>[5,3,4,1,2]
[1,2,2,4,5]=>[{1},{2,3},{4},{5}]=>[1,2,3,4,5]
[1,2,2,5,4]=>[{1},{2,3},{5},{4}]=>[1,2,3,5,4]
[1,2,4,2,5]=>[{1},{2,4},{3},{5}]=>[1,2,4,3,5]
[1,2,4,5,2]=>[{1},{2,5},{3},{4}]=>[1,2,5,3,4]
[1,2,5,2,4]=>[{1},{2,4},{5},{3}]=>[1,2,4,5,3]
[1,2,5,4,2]=>[{1},{2,5},{4},{3}]=>[1,2,5,4,3]
[1,4,2,2,5]=>[{1},{3,4},{2},{5}]=>[1,3,4,2,5]
[1,4,2,5,2]=>[{1},{3,5},{2},{4}]=>[1,3,5,2,4]
[1,4,5,2,2]=>[{1},{4,5},{2},{3}]=>[1,4,5,2,3]
[1,5,2,2,4]=>[{1},{3,4},{5},{2}]=>[1,3,4,5,2]
[1,5,2,4,2]=>[{1},{3,5},{4},{2}]=>[1,3,5,4,2]
[1,5,4,2,2]=>[{1},{4,5},{3},{2}]=>[1,4,5,3,2]
[2,1,2,4,5]=>[{2},{1,3},{4},{5}]=>[2,1,3,4,5]
[2,1,2,5,4]=>[{2},{1,3},{5},{4}]=>[2,1,3,5,4]
[2,1,4,2,5]=>[{2},{1,4},{3},{5}]=>[2,1,4,3,5]
[2,1,4,5,2]=>[{2},{1,5},{3},{4}]=>[2,1,5,3,4]
[2,1,5,2,4]=>[{2},{1,4},{5},{3}]=>[2,1,4,5,3]
[2,1,5,4,2]=>[{2},{1,5},{4},{3}]=>[2,1,5,4,3]
[2,2,1,4,5]=>[{3},{1,2},{4},{5}]=>[3,1,2,4,5]
[2,2,1,5,4]=>[{3},{1,2},{5},{4}]=>[3,1,2,5,4]
[2,2,4,1,5]=>[{4},{1,2},{3},{5}]=>[4,1,2,3,5]
[2,2,4,5,1]=>[{5},{1,2},{3},{4}]=>[5,1,2,3,4]
[2,2,5,1,4]=>[{4},{1,2},{5},{3}]=>[4,1,2,5,3]
[2,2,5,4,1]=>[{5},{1,2},{4},{3}]=>[5,1,2,4,3]
[2,4,1,2,5]=>[{3},{1,4},{2},{5}]=>[3,1,4,2,5]
[2,4,1,5,2]=>[{3},{1,5},{2},{4}]=>[3,1,5,2,4]
[2,4,2,1,5]=>[{4},{1,3},{2},{5}]=>[4,1,3,2,5]
[2,4,2,5,1]=>[{5},{1,3},{2},{4}]=>[5,1,3,2,4]
[2,4,5,1,2]=>[{4},{1,5},{2},{3}]=>[4,1,5,2,3]
[2,4,5,2,1]=>[{5},{1,4},{2},{3}]=>[5,1,4,2,3]
[2,5,1,2,4]=>[{3},{1,4},{5},{2}]=>[3,1,4,5,2]
[2,5,1,4,2]=>[{3},{1,5},{4},{2}]=>[3,1,5,4,2]
[2,5,2,1,4]=>[{4},{1,3},{5},{2}]=>[4,1,3,5,2]
[2,5,2,4,1]=>[{5},{1,3},{4},{2}]=>[5,1,3,4,2]
[2,5,4,1,2]=>[{4},{1,5},{3},{2}]=>[4,1,5,3,2]
[2,5,4,2,1]=>[{5},{1,4},{3},{2}]=>[5,1,4,3,2]
[4,1,2,2,5]=>[{2},{3,4},{1},{5}]=>[2,3,4,1,5]
[4,1,2,5,2]=>[{2},{3,5},{1},{4}]=>[2,3,5,1,4]
[4,1,5,2,2]=>[{2},{4,5},{1},{3}]=>[2,4,5,1,3]
[4,2,1,2,5]=>[{3},{2,4},{1},{5}]=>[3,2,4,1,5]
[4,2,1,5,2]=>[{3},{2,5},{1},{4}]=>[3,2,5,1,4]
[4,2,2,1,5]=>[{4},{2,3},{1},{5}]=>[4,2,3,1,5]
[4,2,2,5,1]=>[{5},{2,3},{1},{4}]=>[5,2,3,1,4]
[4,2,5,1,2]=>[{4},{2,5},{1},{3}]=>[4,2,5,1,3]
[4,2,5,2,1]=>[{5},{2,4},{1},{3}]=>[5,2,4,1,3]
[4,5,1,2,2]=>[{3},{4,5},{1},{2}]=>[3,4,5,1,2]
[4,5,2,1,2]=>[{4},{3,5},{1},{2}]=>[4,3,5,1,2]
[4,5,2,2,1]=>[{5},{3,4},{1},{2}]=>[5,3,4,1,2]
[5,1,2,2,4]=>[{2},{3,4},{5},{1}]=>[2,3,4,5,1]
[5,1,2,4,2]=>[{2},{3,5},{4},{1}]=>[2,3,5,4,1]
[5,1,4,2,2]=>[{2},{4,5},{3},{1}]=>[2,4,5,3,1]
[5,2,1,2,4]=>[{3},{2,4},{5},{1}]=>[3,2,4,5,1]
[5,2,1,4,2]=>[{3},{2,5},{4},{1}]=>[3,2,5,4,1]
[5,2,2,1,4]=>[{4},{2,3},{5},{1}]=>[4,2,3,5,1]
[5,2,2,4,1]=>[{5},{2,3},{4},{1}]=>[5,2,3,4,1]
[5,2,4,1,2]=>[{4},{2,5},{3},{1}]=>[4,2,5,3,1]
[5,2,4,2,1]=>[{5},{2,4},{3},{1}]=>[5,2,4,3,1]
[5,4,1,2,2]=>[{3},{4,5},{2},{1}]=>[3,4,5,2,1]
[5,4,2,1,2]=>[{4},{3,5},{2},{1}]=>[4,3,5,2,1]
[5,4,2,2,1]=>[{5},{3,4},{2},{1}]=>[5,3,4,2,1]
[1,2,3,3,3]=>[{1},{2},{3,4,5}]=>[1,2,3,4,5]
[1,3,2,3,3]=>[{1},{3},{2,4,5}]=>[1,3,2,4,5]
[1,3,3,2,3]=>[{1},{4},{2,3,5}]=>[1,4,2,3,5]
[1,3,3,3,2]=>[{1},{5},{2,3,4}]=>[1,5,2,3,4]
[2,1,3,3,3]=>[{2},{1},{3,4,5}]=>[2,1,3,4,5]
[2,3,1,3,3]=>[{3},{1},{2,4,5}]=>[3,1,2,4,5]
[2,3,3,1,3]=>[{4},{1},{2,3,5}]=>[4,1,2,3,5]
[2,3,3,3,1]=>[{5},{1},{2,3,4}]=>[5,1,2,3,4]
[3,1,2,3,3]=>[{2},{3},{1,4,5}]=>[2,3,1,4,5]
[3,1,3,2,3]=>[{2},{4},{1,3,5}]=>[2,4,1,3,5]
[3,1,3,3,2]=>[{2},{5},{1,3,4}]=>[2,5,1,3,4]
[3,2,1,3,3]=>[{3},{2},{1,4,5}]=>[3,2,1,4,5]
[3,2,3,1,3]=>[{4},{2},{1,3,5}]=>[4,2,1,3,5]
[3,2,3,3,1]=>[{5},{2},{1,3,4}]=>[5,2,1,3,4]
[3,3,1,2,3]=>[{3},{4},{1,2,5}]=>[3,4,1,2,5]
[3,3,1,3,2]=>[{3},{5},{1,2,4}]=>[3,5,1,2,4]
[3,3,2,1,3]=>[{4},{3},{1,2,5}]=>[4,3,1,2,5]
[3,3,2,3,1]=>[{5},{3},{1,2,4}]=>[5,3,1,2,4]
[3,3,3,1,2]=>[{4},{5},{1,2,3}]=>[4,5,1,2,3]
[3,3,3,2,1]=>[{5},{4},{1,2,3}]=>[5,4,1,2,3]
[1,2,3,3,4]=>[{1},{2},{3,4},{5}]=>[1,2,3,4,5]
[1,2,3,4,3]=>[{1},{2},{3,5},{4}]=>[1,2,3,5,4]
[1,2,4,3,3]=>[{1},{2},{4,5},{3}]=>[1,2,4,5,3]
[1,3,2,3,4]=>[{1},{3},{2,4},{5}]=>[1,3,2,4,5]
[1,3,2,4,3]=>[{1},{3},{2,5},{4}]=>[1,3,2,5,4]
[1,3,3,2,4]=>[{1},{4},{2,3},{5}]=>[1,4,2,3,5]
[1,3,3,4,2]=>[{1},{5},{2,3},{4}]=>[1,5,2,3,4]
[1,3,4,2,3]=>[{1},{4},{2,5},{3}]=>[1,4,2,5,3]
[1,3,4,3,2]=>[{1},{5},{2,4},{3}]=>[1,5,2,4,3]
[1,4,2,3,3]=>[{1},{3},{4,5},{2}]=>[1,3,4,5,2]
[1,4,3,2,3]=>[{1},{4},{3,5},{2}]=>[1,4,3,5,2]
[1,4,3,3,2]=>[{1},{5},{3,4},{2}]=>[1,5,3,4,2]
[2,1,3,3,4]=>[{2},{1},{3,4},{5}]=>[2,1,3,4,5]
[2,1,3,4,3]=>[{2},{1},{3,5},{4}]=>[2,1,3,5,4]
[2,1,4,3,3]=>[{2},{1},{4,5},{3}]=>[2,1,4,5,3]
[2,3,1,3,4]=>[{3},{1},{2,4},{5}]=>[3,1,2,4,5]
[2,3,1,4,3]=>[{3},{1},{2,5},{4}]=>[3,1,2,5,4]
[2,3,3,1,4]=>[{4},{1},{2,3},{5}]=>[4,1,2,3,5]
[2,3,3,4,1]=>[{5},{1},{2,3},{4}]=>[5,1,2,3,4]
[2,3,4,1,3]=>[{4},{1},{2,5},{3}]=>[4,1,2,5,3]
[2,3,4,3,1]=>[{5},{1},{2,4},{3}]=>[5,1,2,4,3]
[2,4,1,3,3]=>[{3},{1},{4,5},{2}]=>[3,1,4,5,2]
[2,4,3,1,3]=>[{4},{1},{3,5},{2}]=>[4,1,3,5,2]
[2,4,3,3,1]=>[{5},{1},{3,4},{2}]=>[5,1,3,4,2]
[3,1,2,3,4]=>[{2},{3},{1,4},{5}]=>[2,3,1,4,5]
[3,1,2,4,3]=>[{2},{3},{1,5},{4}]=>[2,3,1,5,4]
[3,1,3,2,4]=>[{2},{4},{1,3},{5}]=>[2,4,1,3,5]
[3,1,3,4,2]=>[{2},{5},{1,3},{4}]=>[2,5,1,3,4]
[3,1,4,2,3]=>[{2},{4},{1,5},{3}]=>[2,4,1,5,3]
[3,1,4,3,2]=>[{2},{5},{1,4},{3}]=>[2,5,1,4,3]
[3,2,1,3,4]=>[{3},{2},{1,4},{5}]=>[3,2,1,4,5]
[3,2,1,4,3]=>[{3},{2},{1,5},{4}]=>[3,2,1,5,4]
[3,2,3,1,4]=>[{4},{2},{1,3},{5}]=>[4,2,1,3,5]
[3,2,3,4,1]=>[{5},{2},{1,3},{4}]=>[5,2,1,3,4]
[3,2,4,1,3]=>[{4},{2},{1,5},{3}]=>[4,2,1,5,3]
[3,2,4,3,1]=>[{5},{2},{1,4},{3}]=>[5,2,1,4,3]
[3,3,1,2,4]=>[{3},{4},{1,2},{5}]=>[3,4,1,2,5]
[3,3,1,4,2]=>[{3},{5},{1,2},{4}]=>[3,5,1,2,4]
[3,3,2,1,4]=>[{4},{3},{1,2},{5}]=>[4,3,1,2,5]
[3,3,2,4,1]=>[{5},{3},{1,2},{4}]=>[5,3,1,2,4]
[3,3,4,1,2]=>[{4},{5},{1,2},{3}]=>[4,5,1,2,3]
[3,3,4,2,1]=>[{5},{4},{1,2},{3}]=>[5,4,1,2,3]
[3,4,1,2,3]=>[{3},{4},{1,5},{2}]=>[3,4,1,5,2]
[3,4,1,3,2]=>[{3},{5},{1,4},{2}]=>[3,5,1,4,2]
[3,4,2,1,3]=>[{4},{3},{1,5},{2}]=>[4,3,1,5,2]
[3,4,2,3,1]=>[{5},{3},{1,4},{2}]=>[5,3,1,4,2]
[3,4,3,1,2]=>[{4},{5},{1,3},{2}]=>[4,5,1,3,2]
[3,4,3,2,1]=>[{5},{4},{1,3},{2}]=>[5,4,1,3,2]
[4,1,2,3,3]=>[{2},{3},{4,5},{1}]=>[2,3,4,5,1]
[4,1,3,2,3]=>[{2},{4},{3,5},{1}]=>[2,4,3,5,1]
[4,1,3,3,2]=>[{2},{5},{3,4},{1}]=>[2,5,3,4,1]
[4,2,1,3,3]=>[{3},{2},{4,5},{1}]=>[3,2,4,5,1]
[4,2,3,1,3]=>[{4},{2},{3,5},{1}]=>[4,2,3,5,1]
[4,2,3,3,1]=>[{5},{2},{3,4},{1}]=>[5,2,3,4,1]
[4,3,1,2,3]=>[{3},{4},{2,5},{1}]=>[3,4,2,5,1]
[4,3,1,3,2]=>[{3},{5},{2,4},{1}]=>[3,5,2,4,1]
[4,3,2,1,3]=>[{4},{3},{2,5},{1}]=>[4,3,2,5,1]
[4,3,2,3,1]=>[{5},{3},{2,4},{1}]=>[5,3,2,4,1]
[4,3,3,1,2]=>[{4},{5},{2,3},{1}]=>[4,5,2,3,1]
[4,3,3,2,1]=>[{5},{4},{2,3},{1}]=>[5,4,2,3,1]
[1,2,3,3,5]=>[{1},{2},{3,4},{5}]=>[1,2,3,4,5]
[1,2,3,5,3]=>[{1},{2},{3,5},{4}]=>[1,2,3,5,4]
[1,2,5,3,3]=>[{1},{2},{4,5},{3}]=>[1,2,4,5,3]
[1,3,2,3,5]=>[{1},{3},{2,4},{5}]=>[1,3,2,4,5]
[1,3,2,5,3]=>[{1},{3},{2,5},{4}]=>[1,3,2,5,4]
[1,3,3,2,5]=>[{1},{4},{2,3},{5}]=>[1,4,2,3,5]
[1,3,3,5,2]=>[{1},{5},{2,3},{4}]=>[1,5,2,3,4]
[1,3,5,2,3]=>[{1},{4},{2,5},{3}]=>[1,4,2,5,3]
[1,3,5,3,2]=>[{1},{5},{2,4},{3}]=>[1,5,2,4,3]
[1,5,2,3,3]=>[{1},{3},{4,5},{2}]=>[1,3,4,5,2]
[1,5,3,2,3]=>[{1},{4},{3,5},{2}]=>[1,4,3,5,2]
[1,5,3,3,2]=>[{1},{5},{3,4},{2}]=>[1,5,3,4,2]
[2,1,3,3,5]=>[{2},{1},{3,4},{5}]=>[2,1,3,4,5]
[2,1,3,5,3]=>[{2},{1},{3,5},{4}]=>[2,1,3,5,4]
[2,1,5,3,3]=>[{2},{1},{4,5},{3}]=>[2,1,4,5,3]
[2,3,1,3,5]=>[{3},{1},{2,4},{5}]=>[3,1,2,4,5]
[2,3,1,5,3]=>[{3},{1},{2,5},{4}]=>[3,1,2,5,4]
[2,3,3,1,5]=>[{4},{1},{2,3},{5}]=>[4,1,2,3,5]
[2,3,3,5,1]=>[{5},{1},{2,3},{4}]=>[5,1,2,3,4]
[2,3,5,1,3]=>[{4},{1},{2,5},{3}]=>[4,1,2,5,3]
[2,3,5,3,1]=>[{5},{1},{2,4},{3}]=>[5,1,2,4,3]
[2,5,1,3,3]=>[{3},{1},{4,5},{2}]=>[3,1,4,5,2]
[2,5,3,1,3]=>[{4},{1},{3,5},{2}]=>[4,1,3,5,2]
[2,5,3,3,1]=>[{5},{1},{3,4},{2}]=>[5,1,3,4,2]
[3,1,2,3,5]=>[{2},{3},{1,4},{5}]=>[2,3,1,4,5]
[3,1,2,5,3]=>[{2},{3},{1,5},{4}]=>[2,3,1,5,4]
[3,1,3,2,5]=>[{2},{4},{1,3},{5}]=>[2,4,1,3,5]
[3,1,3,5,2]=>[{2},{5},{1,3},{4}]=>[2,5,1,3,4]
[3,1,5,2,3]=>[{2},{4},{1,5},{3}]=>[2,4,1,5,3]
[3,1,5,3,2]=>[{2},{5},{1,4},{3}]=>[2,5,1,4,3]
[3,2,1,3,5]=>[{3},{2},{1,4},{5}]=>[3,2,1,4,5]
[3,2,1,5,3]=>[{3},{2},{1,5},{4}]=>[3,2,1,5,4]
[3,2,3,1,5]=>[{4},{2},{1,3},{5}]=>[4,2,1,3,5]
[3,2,3,5,1]=>[{5},{2},{1,3},{4}]=>[5,2,1,3,4]
[3,2,5,1,3]=>[{4},{2},{1,5},{3}]=>[4,2,1,5,3]
[3,2,5,3,1]=>[{5},{2},{1,4},{3}]=>[5,2,1,4,3]
[3,3,1,2,5]=>[{3},{4},{1,2},{5}]=>[3,4,1,2,5]
[3,3,1,5,2]=>[{3},{5},{1,2},{4}]=>[3,5,1,2,4]
[3,3,2,1,5]=>[{4},{3},{1,2},{5}]=>[4,3,1,2,5]
[3,3,2,5,1]=>[{5},{3},{1,2},{4}]=>[5,3,1,2,4]
[3,3,5,1,2]=>[{4},{5},{1,2},{3}]=>[4,5,1,2,3]
[3,3,5,2,1]=>[{5},{4},{1,2},{3}]=>[5,4,1,2,3]
[3,5,1,2,3]=>[{3},{4},{1,5},{2}]=>[3,4,1,5,2]
[3,5,1,3,2]=>[{3},{5},{1,4},{2}]=>[3,5,1,4,2]
[3,5,2,1,3]=>[{4},{3},{1,5},{2}]=>[4,3,1,5,2]
[3,5,2,3,1]=>[{5},{3},{1,4},{2}]=>[5,3,1,4,2]
[3,5,3,1,2]=>[{4},{5},{1,3},{2}]=>[4,5,1,3,2]
[3,5,3,2,1]=>[{5},{4},{1,3},{2}]=>[5,4,1,3,2]
[5,1,2,3,3]=>[{2},{3},{4,5},{1}]=>[2,3,4,5,1]
[5,1,3,2,3]=>[{2},{4},{3,5},{1}]=>[2,4,3,5,1]
[5,1,3,3,2]=>[{2},{5},{3,4},{1}]=>[2,5,3,4,1]
[5,2,1,3,3]=>[{3},{2},{4,5},{1}]=>[3,2,4,5,1]
[5,2,3,1,3]=>[{4},{2},{3,5},{1}]=>[4,2,3,5,1]
[5,2,3,3,1]=>[{5},{2},{3,4},{1}]=>[5,2,3,4,1]
[5,3,1,2,3]=>[{3},{4},{2,5},{1}]=>[3,4,2,5,1]
[5,3,1,3,2]=>[{3},{5},{2,4},{1}]=>[3,5,2,4,1]
[5,3,2,1,3]=>[{4},{3},{2,5},{1}]=>[4,3,2,5,1]
[5,3,2,3,1]=>[{5},{3},{2,4},{1}]=>[5,3,2,4,1]
[5,3,3,1,2]=>[{4},{5},{2,3},{1}]=>[4,5,2,3,1]
[5,3,3,2,1]=>[{5},{4},{2,3},{1}]=>[5,4,2,3,1]
[1,2,3,4,4]=>[{1},{2},{3},{4,5}]=>[1,2,3,4,5]
[1,2,4,3,4]=>[{1},{2},{4},{3,5}]=>[1,2,4,3,5]
[1,2,4,4,3]=>[{1},{2},{5},{3,4}]=>[1,2,5,3,4]
[1,3,2,4,4]=>[{1},{3},{2},{4,5}]=>[1,3,2,4,5]
[1,3,4,2,4]=>[{1},{4},{2},{3,5}]=>[1,4,2,3,5]
[1,3,4,4,2]=>[{1},{5},{2},{3,4}]=>[1,5,2,3,4]
[1,4,2,3,4]=>[{1},{3},{4},{2,5}]=>[1,3,4,2,5]
[1,4,2,4,3]=>[{1},{3},{5},{2,4}]=>[1,3,5,2,4]
[1,4,3,2,4]=>[{1},{4},{3},{2,5}]=>[1,4,3,2,5]
[1,4,3,4,2]=>[{1},{5},{3},{2,4}]=>[1,5,3,2,4]
[1,4,4,2,3]=>[{1},{4},{5},{2,3}]=>[1,4,5,2,3]
[1,4,4,3,2]=>[{1},{5},{4},{2,3}]=>[1,5,4,2,3]
[2,1,3,4,4]=>[{2},{1},{3},{4,5}]=>[2,1,3,4,5]
[2,1,4,3,4]=>[{2},{1},{4},{3,5}]=>[2,1,4,3,5]
[2,1,4,4,3]=>[{2},{1},{5},{3,4}]=>[2,1,5,3,4]
[2,3,1,4,4]=>[{3},{1},{2},{4,5}]=>[3,1,2,4,5]
[2,3,4,1,4]=>[{4},{1},{2},{3,5}]=>[4,1,2,3,5]
[2,3,4,4,1]=>[{5},{1},{2},{3,4}]=>[5,1,2,3,4]
[2,4,1,3,4]=>[{3},{1},{4},{2,5}]=>[3,1,4,2,5]
[2,4,1,4,3]=>[{3},{1},{5},{2,4}]=>[3,1,5,2,4]
[2,4,3,1,4]=>[{4},{1},{3},{2,5}]=>[4,1,3,2,5]
[2,4,3,4,1]=>[{5},{1},{3},{2,4}]=>[5,1,3,2,4]
[2,4,4,1,3]=>[{4},{1},{5},{2,3}]=>[4,1,5,2,3]
[2,4,4,3,1]=>[{5},{1},{4},{2,3}]=>[5,1,4,2,3]
[3,1,2,4,4]=>[{2},{3},{1},{4,5}]=>[2,3,1,4,5]
[3,1,4,2,4]=>[{2},{4},{1},{3,5}]=>[2,4,1,3,5]
[3,1,4,4,2]=>[{2},{5},{1},{3,4}]=>[2,5,1,3,4]
[3,2,1,4,4]=>[{3},{2},{1},{4,5}]=>[3,2,1,4,5]
[3,2,4,1,4]=>[{4},{2},{1},{3,5}]=>[4,2,1,3,5]
[3,2,4,4,1]=>[{5},{2},{1},{3,4}]=>[5,2,1,3,4]
[3,4,1,2,4]=>[{3},{4},{1},{2,5}]=>[3,4,1,2,5]
[3,4,1,4,2]=>[{3},{5},{1},{2,4}]=>[3,5,1,2,4]
[3,4,2,1,4]=>[{4},{3},{1},{2,5}]=>[4,3,1,2,5]
[3,4,2,4,1]=>[{5},{3},{1},{2,4}]=>[5,3,1,2,4]
[3,4,4,1,2]=>[{4},{5},{1},{2,3}]=>[4,5,1,2,3]
[3,4,4,2,1]=>[{5},{4},{1},{2,3}]=>[5,4,1,2,3]
[4,1,2,3,4]=>[{2},{3},{4},{1,5}]=>[2,3,4,1,5]
[4,1,2,4,3]=>[{2},{3},{5},{1,4}]=>[2,3,5,1,4]
[4,1,3,2,4]=>[{2},{4},{3},{1,5}]=>[2,4,3,1,5]
[4,1,3,4,2]=>[{2},{5},{3},{1,4}]=>[2,5,3,1,4]
[4,1,4,2,3]=>[{2},{4},{5},{1,3}]=>[2,4,5,1,3]
[4,1,4,3,2]=>[{2},{5},{4},{1,3}]=>[2,5,4,1,3]
[4,2,1,3,4]=>[{3},{2},{4},{1,5}]=>[3,2,4,1,5]
[4,2,1,4,3]=>[{3},{2},{5},{1,4}]=>[3,2,5,1,4]
[4,2,3,1,4]=>[{4},{2},{3},{1,5}]=>[4,2,3,1,5]
[4,2,3,4,1]=>[{5},{2},{3},{1,4}]=>[5,2,3,1,4]
[4,2,4,1,3]=>[{4},{2},{5},{1,3}]=>[4,2,5,1,3]
[4,2,4,3,1]=>[{5},{2},{4},{1,3}]=>[5,2,4,1,3]
[4,3,1,2,4]=>[{3},{4},{2},{1,5}]=>[3,4,2,1,5]
[4,3,1,4,2]=>[{3},{5},{2},{1,4}]=>[3,5,2,1,4]
[4,3,2,1,4]=>[{4},{3},{2},{1,5}]=>[4,3,2,1,5]
[4,3,2,4,1]=>[{5},{3},{2},{1,4}]=>[5,3,2,1,4]
[4,3,4,1,2]=>[{4},{5},{2},{1,3}]=>[4,5,2,1,3]
[4,3,4,2,1]=>[{5},{4},{2},{1,3}]=>[5,4,2,1,3]
[4,4,1,2,3]=>[{3},{4},{5},{1,2}]=>[3,4,5,1,2]
[4,4,1,3,2]=>[{3},{5},{4},{1,2}]=>[3,5,4,1,2]
[4,4,2,1,3]=>[{4},{3},{5},{1,2}]=>[4,3,5,1,2]
[4,4,2,3,1]=>[{5},{3},{4},{1,2}]=>[5,3,4,1,2]
[4,4,3,1,2]=>[{4},{5},{3},{1,2}]=>[4,5,3,1,2]
[4,4,3,2,1]=>[{5},{4},{3},{1,2}]=>[5,4,3,1,2]
[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}]=>[1,2,3,5,4]
[1,2,4,3,5]=>[{1},{2},{4},{3},{5}]=>[1,2,4,3,5]
[1,2,4,5,3]=>[{1},{2},{5},{3},{4}]=>[1,2,5,3,4]
[1,2,5,3,4]=>[{1},{2},{4},{5},{3}]=>[1,2,4,5,3]
[1,2,5,4,3]=>[{1},{2},{5},{4},{3}]=>[1,2,5,4,3]
[1,3,2,4,5]=>[{1},{3},{2},{4},{5}]=>[1,3,2,4,5]
[1,3,2,5,4]=>[{1},{3},{2},{5},{4}]=>[1,3,2,5,4]
[1,3,4,2,5]=>[{1},{4},{2},{3},{5}]=>[1,4,2,3,5]
[1,3,4,5,2]=>[{1},{5},{2},{3},{4}]=>[1,5,2,3,4]
[1,3,5,2,4]=>[{1},{4},{2},{5},{3}]=>[1,4,2,5,3]
[1,3,5,4,2]=>[{1},{5},{2},{4},{3}]=>[1,5,2,4,3]
[1,4,2,3,5]=>[{1},{3},{4},{2},{5}]=>[1,3,4,2,5]
[1,4,2,5,3]=>[{1},{3},{5},{2},{4}]=>[1,3,5,2,4]
[1,4,3,2,5]=>[{1},{4},{3},{2},{5}]=>[1,4,3,2,5]
[1,4,3,5,2]=>[{1},{5},{3},{2},{4}]=>[1,5,3,2,4]
[1,4,5,2,3]=>[{1},{4},{5},{2},{3}]=>[1,4,5,2,3]
[1,4,5,3,2]=>[{1},{5},{4},{2},{3}]=>[1,5,4,2,3]
[1,5,2,3,4]=>[{1},{3},{4},{5},{2}]=>[1,3,4,5,2]
[1,5,2,4,3]=>[{1},{3},{5},{4},{2}]=>[1,3,5,4,2]
[1,5,3,2,4]=>[{1},{4},{3},{5},{2}]=>[1,4,3,5,2]
[1,5,3,4,2]=>[{1},{5},{3},{4},{2}]=>[1,5,3,4,2]
[1,5,4,2,3]=>[{1},{4},{5},{3},{2}]=>[1,4,5,3,2]
[1,5,4,3,2]=>[{1},{5},{4},{3},{2}]=>[1,5,4,3,2]
[2,1,3,4,5]=>[{2},{1},{3},{4},{5}]=>[2,1,3,4,5]
[2,1,3,5,4]=>[{2},{1},{3},{5},{4}]=>[2,1,3,5,4]
[2,1,4,3,5]=>[{2},{1},{4},{3},{5}]=>[2,1,4,3,5]
[2,1,4,5,3]=>[{2},{1},{5},{3},{4}]=>[2,1,5,3,4]
[2,1,5,3,4]=>[{2},{1},{4},{5},{3}]=>[2,1,4,5,3]
[2,1,5,4,3]=>[{2},{1},{5},{4},{3}]=>[2,1,5,4,3]
[2,3,1,4,5]=>[{3},{1},{2},{4},{5}]=>[3,1,2,4,5]
[2,3,1,5,4]=>[{3},{1},{2},{5},{4}]=>[3,1,2,5,4]
[2,3,4,1,5]=>[{4},{1},{2},{3},{5}]=>[4,1,2,3,5]
[2,3,4,5,1]=>[{5},{1},{2},{3},{4}]=>[5,1,2,3,4]
[2,3,5,1,4]=>[{4},{1},{2},{5},{3}]=>[4,1,2,5,3]
[2,3,5,4,1]=>[{5},{1},{2},{4},{3}]=>[5,1,2,4,3]
[2,4,1,3,5]=>[{3},{1},{4},{2},{5}]=>[3,1,4,2,5]
[2,4,1,5,3]=>[{3},{1},{5},{2},{4}]=>[3,1,5,2,4]
[2,4,3,1,5]=>[{4},{1},{3},{2},{5}]=>[4,1,3,2,5]
[2,4,3,5,1]=>[{5},{1},{3},{2},{4}]=>[5,1,3,2,4]
[2,4,5,1,3]=>[{4},{1},{5},{2},{3}]=>[4,1,5,2,3]
[2,4,5,3,1]=>[{5},{1},{4},{2},{3}]=>[5,1,4,2,3]
[2,5,1,3,4]=>[{3},{1},{4},{5},{2}]=>[3,1,4,5,2]
[2,5,1,4,3]=>[{3},{1},{5},{4},{2}]=>[3,1,5,4,2]
[2,5,3,1,4]=>[{4},{1},{3},{5},{2}]=>[4,1,3,5,2]
[2,5,3,4,1]=>[{5},{1},{3},{4},{2}]=>[5,1,3,4,2]
[2,5,4,1,3]=>[{4},{1},{5},{3},{2}]=>[4,1,5,3,2]
[2,5,4,3,1]=>[{5},{1},{4},{3},{2}]=>[5,1,4,3,2]
[3,1,2,4,5]=>[{2},{3},{1},{4},{5}]=>[2,3,1,4,5]
[3,1,2,5,4]=>[{2},{3},{1},{5},{4}]=>[2,3,1,5,4]
[3,1,4,2,5]=>[{2},{4},{1},{3},{5}]=>[2,4,1,3,5]
[3,1,4,5,2]=>[{2},{5},{1},{3},{4}]=>[2,5,1,3,4]
[3,1,5,2,4]=>[{2},{4},{1},{5},{3}]=>[2,4,1,5,3]
[3,1,5,4,2]=>[{2},{5},{1},{4},{3}]=>[2,5,1,4,3]
[3,2,1,4,5]=>[{3},{2},{1},{4},{5}]=>[3,2,1,4,5]
[3,2,1,5,4]=>[{3},{2},{1},{5},{4}]=>[3,2,1,5,4]
[3,2,4,1,5]=>[{4},{2},{1},{3},{5}]=>[4,2,1,3,5]
[3,2,4,5,1]=>[{5},{2},{1},{3},{4}]=>[5,2,1,3,4]
[3,2,5,1,4]=>[{4},{2},{1},{5},{3}]=>[4,2,1,5,3]
[3,2,5,4,1]=>[{5},{2},{1},{4},{3}]=>[5,2,1,4,3]
[3,4,1,2,5]=>[{3},{4},{1},{2},{5}]=>[3,4,1,2,5]
[3,4,1,5,2]=>[{3},{5},{1},{2},{4}]=>[3,5,1,2,4]
[3,4,2,1,5]=>[{4},{3},{1},{2},{5}]=>[4,3,1,2,5]
[3,4,2,5,1]=>[{5},{3},{1},{2},{4}]=>[5,3,1,2,4]
[3,4,5,1,2]=>[{4},{5},{1},{2},{3}]=>[4,5,1,2,3]
[3,4,5,2,1]=>[{5},{4},{1},{2},{3}]=>[5,4,1,2,3]
[3,5,1,2,4]=>[{3},{4},{1},{5},{2}]=>[3,4,1,5,2]
[3,5,1,4,2]=>[{3},{5},{1},{4},{2}]=>[3,5,1,4,2]
[3,5,2,1,4]=>[{4},{3},{1},{5},{2}]=>[4,3,1,5,2]
[3,5,2,4,1]=>[{5},{3},{1},{4},{2}]=>[5,3,1,4,2]
[3,5,4,1,2]=>[{4},{5},{1},{3},{2}]=>[4,5,1,3,2]
[3,5,4,2,1]=>[{5},{4},{1},{3},{2}]=>[5,4,1,3,2]
[4,1,2,3,5]=>[{2},{3},{4},{1},{5}]=>[2,3,4,1,5]
[4,1,2,5,3]=>[{2},{3},{5},{1},{4}]=>[2,3,5,1,4]
[4,1,3,2,5]=>[{2},{4},{3},{1},{5}]=>[2,4,3,1,5]
[4,1,3,5,2]=>[{2},{5},{3},{1},{4}]=>[2,5,3,1,4]
[4,1,5,2,3]=>[{2},{4},{5},{1},{3}]=>[2,4,5,1,3]
[4,1,5,3,2]=>[{2},{5},{4},{1},{3}]=>[2,5,4,1,3]
[4,2,1,3,5]=>[{3},{2},{4},{1},{5}]=>[3,2,4,1,5]
[4,2,1,5,3]=>[{3},{2},{5},{1},{4}]=>[3,2,5,1,4]
[4,2,3,1,5]=>[{4},{2},{3},{1},{5}]=>[4,2,3,1,5]
[4,2,3,5,1]=>[{5},{2},{3},{1},{4}]=>[5,2,3,1,4]
[4,2,5,1,3]=>[{4},{2},{5},{1},{3}]=>[4,2,5,1,3]
[4,2,5,3,1]=>[{5},{2},{4},{1},{3}]=>[5,2,4,1,3]
[4,3,1,2,5]=>[{3},{4},{2},{1},{5}]=>[3,4,2,1,5]
[4,3,1,5,2]=>[{3},{5},{2},{1},{4}]=>[3,5,2,1,4]
[4,3,2,1,5]=>[{4},{3},{2},{1},{5}]=>[4,3,2,1,5]
[4,3,2,5,1]=>[{5},{3},{2},{1},{4}]=>[5,3,2,1,4]
[4,3,5,1,2]=>[{4},{5},{2},{1},{3}]=>[4,5,2,1,3]
[4,3,5,2,1]=>[{5},{4},{2},{1},{3}]=>[5,4,2,1,3]
[4,5,1,2,3]=>[{3},{4},{5},{1},{2}]=>[3,4,5,1,2]
[4,5,1,3,2]=>[{3},{5},{4},{1},{2}]=>[3,5,4,1,2]
[4,5,2,1,3]=>[{4},{3},{5},{1},{2}]=>[4,3,5,1,2]
[4,5,2,3,1]=>[{5},{3},{4},{1},{2}]=>[5,3,4,1,2]
[4,5,3,1,2]=>[{4},{5},{3},{1},{2}]=>[4,5,3,1,2]
[4,5,3,2,1]=>[{5},{4},{3},{1},{2}]=>[5,4,3,1,2]
[5,1,2,3,4]=>[{2},{3},{4},{5},{1}]=>[2,3,4,5,1]
[5,1,2,4,3]=>[{2},{3},{5},{4},{1}]=>[2,3,5,4,1]
[5,1,3,2,4]=>[{2},{4},{3},{5},{1}]=>[2,4,3,5,1]
[5,1,3,4,2]=>[{2},{5},{3},{4},{1}]=>[2,5,3,4,1]
[5,1,4,2,3]=>[{2},{4},{5},{3},{1}]=>[2,4,5,3,1]
[5,1,4,3,2]=>[{2},{5},{4},{3},{1}]=>[2,5,4,3,1]
[5,2,1,3,4]=>[{3},{2},{4},{5},{1}]=>[3,2,4,5,1]
[5,2,1,4,3]=>[{3},{2},{5},{4},{1}]=>[3,2,5,4,1]
[5,2,3,1,4]=>[{4},{2},{3},{5},{1}]=>[4,2,3,5,1]
[5,2,3,4,1]=>[{5},{2},{3},{4},{1}]=>[5,2,3,4,1]
[5,2,4,1,3]=>[{4},{2},{5},{3},{1}]=>[4,2,5,3,1]
[5,2,4,3,1]=>[{5},{2},{4},{3},{1}]=>[5,2,4,3,1]
[5,3,1,2,4]=>[{3},{4},{2},{5},{1}]=>[3,4,2,5,1]
[5,3,1,4,2]=>[{3},{5},{2},{4},{1}]=>[3,5,2,4,1]
[5,3,2,1,4]=>[{4},{3},{2},{5},{1}]=>[4,3,2,5,1]
[5,3,2,4,1]=>[{5},{3},{2},{4},{1}]=>[5,3,2,4,1]
[5,3,4,1,2]=>[{4},{5},{2},{3},{1}]=>[4,5,2,3,1]
[5,3,4,2,1]=>[{5},{4},{2},{3},{1}]=>[5,4,2,3,1]
[5,4,1,2,3]=>[{3},{4},{5},{2},{1}]=>[3,4,5,2,1]
[5,4,1,3,2]=>[{3},{5},{4},{2},{1}]=>[3,5,4,2,1]
[5,4,2,1,3]=>[{4},{3},{5},{2},{1}]=>[4,3,5,2,1]
[5,4,2,3,1]=>[{5},{3},{4},{2},{1}]=>[5,3,4,2,1]
[5,4,3,1,2]=>[{4},{5},{3},{2},{1}]=>[4,5,3,2,1]
[5,4,3,2,1]=>[{5},{4},{3},{2},{1}]=>[5,4,3,2,1]
[1,1,1,1,1,1]=>[{1,2,3,4,5,6}]=>[1,2,3,4,5,6]
[1,1,1,1,1,2]=>[{1,2,3,4,5},{6}]=>[1,2,3,4,5,6]
[1,1,1,1,2,1]=>[{1,2,3,4,6},{5}]=>[1,2,3,4,6,5]
[1,1,1,2,1,1]=>[{1,2,3,5,6},{4}]=>[1,2,3,5,6,4]
[1,1,2,1,1,1]=>[{1,2,4,5,6},{3}]=>[1,2,4,5,6,3]
[1,2,1,1,1,1]=>[{1,3,4,5,6},{2}]=>[1,3,4,5,6,2]
[2,1,1,1,1,1]=>[{2,3,4,5,6},{1}]=>[2,3,4,5,6,1]
[1,1,1,1,1,3]=>[{1,2,3,4,5},{6}]=>[1,2,3,4,5,6]
[1,1,1,1,3,1]=>[{1,2,3,4,6},{5}]=>[1,2,3,4,6,5]
[1,1,1,3,1,1]=>[{1,2,3,5,6},{4}]=>[1,2,3,5,6,4]
[1,1,3,1,1,1]=>[{1,2,4,5,6},{3}]=>[1,2,4,5,6,3]
[1,3,1,1,1,1]=>[{1,3,4,5,6},{2}]=>[1,3,4,5,6,2]
[3,1,1,1,1,1]=>[{2,3,4,5,6},{1}]=>[2,3,4,5,6,1]
[1,1,1,1,1,4]=>[{1,2,3,4,5},{6}]=>[1,2,3,4,5,6]
[1,1,1,1,4,1]=>[{1,2,3,4,6},{5}]=>[1,2,3,4,6,5]
[1,1,1,4,1,1]=>[{1,2,3,5,6},{4}]=>[1,2,3,5,6,4]
[1,1,4,1,1,1]=>[{1,2,4,5,6},{3}]=>[1,2,4,5,6,3]
[1,4,1,1,1,1]=>[{1,3,4,5,6},{2}]=>[1,3,4,5,6,2]
[4,1,1,1,1,1]=>[{2,3,4,5,6},{1}]=>[2,3,4,5,6,1]
[1,1,1,1,1,5]=>[{1,2,3,4,5},{6}]=>[1,2,3,4,5,6]
[1,1,1,1,5,1]=>[{1,2,3,4,6},{5}]=>[1,2,3,4,6,5]
[1,1,1,5,1,1]=>[{1,2,3,5,6},{4}]=>[1,2,3,5,6,4]
[1,1,5,1,1,1]=>[{1,2,4,5,6},{3}]=>[1,2,4,5,6,3]
[1,5,1,1,1,1]=>[{1,3,4,5,6},{2}]=>[1,3,4,5,6,2]
[5,1,1,1,1,1]=>[{2,3,4,5,6},{1}]=>[2,3,4,5,6,1]
[1,1,1,1,1,6]=>[{1,2,3,4,5},{6}]=>[1,2,3,4,5,6]
[1,1,1,1,6,1]=>[{1,2,3,4,6},{5}]=>[1,2,3,4,6,5]
[1,1,1,6,1,1]=>[{1,2,3,5,6},{4}]=>[1,2,3,5,6,4]
[1,1,6,1,1,1]=>[{1,2,4,5,6},{3}]=>[1,2,4,5,6,3]
[1,6,1,1,1,1]=>[{1,3,4,5,6},{2}]=>[1,3,4,5,6,2]
[6,1,1,1,1,1]=>[{2,3,4,5,6},{1}]=>[2,3,4,5,6,1]
[1,1,1,1,2,2]=>[{1,2,3,4},{5,6}]=>[1,2,3,4,5,6]
[1,1,1,2,1,2]=>[{1,2,3,5},{4,6}]=>[1,2,3,5,4,6]
[1,1,1,2,2,1]=>[{1,2,3,6},{4,5}]=>[1,2,3,6,4,5]
[1,1,2,1,1,2]=>[{1,2,4,5},{3,6}]=>[1,2,4,5,3,6]
[1,1,2,1,2,1]=>[{1,2,4,6},{3,5}]=>[1,2,4,6,3,5]
[1,1,2,2,1,1]=>[{1,2,5,6},{3,4}]=>[1,2,5,6,3,4]
[1,2,1,1,1,2]=>[{1,3,4,5},{2,6}]=>[1,3,4,5,2,6]
[1,2,1,1,2,1]=>[{1,3,4,6},{2,5}]=>[1,3,4,6,2,5]
[1,2,1,2,1,1]=>[{1,3,5,6},{2,4}]=>[1,3,5,6,2,4]
[1,2,2,1,1,1]=>[{1,4,5,6},{2,3}]=>[1,4,5,6,2,3]
[2,1,1,1,1,2]=>[{2,3,4,5},{1,6}]=>[2,3,4,5,1,6]
[2,1,1,1,2,1]=>[{2,3,4,6},{1,5}]=>[2,3,4,6,1,5]
[2,1,1,2,1,1]=>[{2,3,5,6},{1,4}]=>[2,3,5,6,1,4]
[2,1,2,1,1,1]=>[{2,4,5,6},{1,3}]=>[2,4,5,6,1,3]
[2,2,1,1,1,1]=>[{3,4,5,6},{1,2}]=>[3,4,5,6,1,2]
[1,1,1,1,2,3]=>[{1,2,3,4},{5},{6}]=>[1,2,3,4,5,6]
[1,1,1,1,3,2]=>[{1,2,3,4},{6},{5}]=>[1,2,3,4,6,5]
[1,1,1,2,1,3]=>[{1,2,3,5},{4},{6}]=>[1,2,3,5,4,6]
[1,1,1,2,3,1]=>[{1,2,3,6},{4},{5}]=>[1,2,3,6,4,5]
[1,1,1,3,1,2]=>[{1,2,3,5},{6},{4}]=>[1,2,3,5,6,4]
[1,1,1,3,2,1]=>[{1,2,3,6},{5},{4}]=>[1,2,3,6,5,4]
[1,1,2,1,1,3]=>[{1,2,4,5},{3},{6}]=>[1,2,4,5,3,6]
[1,1,2,1,3,1]=>[{1,2,4,6},{3},{5}]=>[1,2,4,6,3,5]
[1,1,2,3,1,1]=>[{1,2,5,6},{3},{4}]=>[1,2,5,6,3,4]
[1,1,3,1,1,2]=>[{1,2,4,5},{6},{3}]=>[1,2,4,5,6,3]
[1,1,3,1,2,1]=>[{1,2,4,6},{5},{3}]=>[1,2,4,6,5,3]
[1,1,3,2,1,1]=>[{1,2,5,6},{4},{3}]=>[1,2,5,6,4,3]
[1,2,1,1,1,3]=>[{1,3,4,5},{2},{6}]=>[1,3,4,5,2,6]
[1,2,1,1,3,1]=>[{1,3,4,6},{2},{5}]=>[1,3,4,6,2,5]
[1,2,1,3,1,1]=>[{1,3,5,6},{2},{4}]=>[1,3,5,6,2,4]
[1,2,3,1,1,1]=>[{1,4,5,6},{2},{3}]=>[1,4,5,6,2,3]
[1,3,1,1,1,2]=>[{1,3,4,5},{6},{2}]=>[1,3,4,5,6,2]
[1,3,1,1,2,1]=>[{1,3,4,6},{5},{2}]=>[1,3,4,6,5,2]
[1,3,1,2,1,1]=>[{1,3,5,6},{4},{2}]=>[1,3,5,6,4,2]
[1,3,2,1,1,1]=>[{1,4,5,6},{3},{2}]=>[1,4,5,6,3,2]
[2,1,1,1,1,3]=>[{2,3,4,5},{1},{6}]=>[2,3,4,5,1,6]
[2,1,1,1,3,1]=>[{2,3,4,6},{1},{5}]=>[2,3,4,6,1,5]
[2,1,1,3,1,1]=>[{2,3,5,6},{1},{4}]=>[2,3,5,6,1,4]
[2,1,3,1,1,1]=>[{2,4,5,6},{1},{3}]=>[2,4,5,6,1,3]
[2,3,1,1,1,1]=>[{3,4,5,6},{1},{2}]=>[3,4,5,6,1,2]
[3,1,1,1,1,2]=>[{2,3,4,5},{6},{1}]=>[2,3,4,5,6,1]
[3,1,1,1,2,1]=>[{2,3,4,6},{5},{1}]=>[2,3,4,6,5,1]
[3,1,1,2,1,1]=>[{2,3,5,6},{4},{1}]=>[2,3,5,6,4,1]
[3,1,2,1,1,1]=>[{2,4,5,6},{3},{1}]=>[2,4,5,6,3,1]
[3,2,1,1,1,1]=>[{3,4,5,6},{2},{1}]=>[3,4,5,6,2,1]
[1,1,1,1,2,4]=>[{1,2,3,4},{5},{6}]=>[1,2,3,4,5,6]
[1,1,1,1,4,2]=>[{1,2,3,4},{6},{5}]=>[1,2,3,4,6,5]
[1,1,1,2,1,4]=>[{1,2,3,5},{4},{6}]=>[1,2,3,5,4,6]
[1,1,1,2,4,1]=>[{1,2,3,6},{4},{5}]=>[1,2,3,6,4,5]
[1,1,1,4,1,2]=>[{1,2,3,5},{6},{4}]=>[1,2,3,5,6,4]
[1,1,1,4,2,1]=>[{1,2,3,6},{5},{4}]=>[1,2,3,6,5,4]
[1,1,2,1,1,4]=>[{1,2,4,5},{3},{6}]=>[1,2,4,5,3,6]
[1,1,2,1,4,1]=>[{1,2,4,6},{3},{5}]=>[1,2,4,6,3,5]
[1,1,2,4,1,1]=>[{1,2,5,6},{3},{4}]=>[1,2,5,6,3,4]
[1,1,4,1,1,2]=>[{1,2,4,5},{6},{3}]=>[1,2,4,5,6,3]
[1,1,4,1,2,1]=>[{1,2,4,6},{5},{3}]=>[1,2,4,6,5,3]
[1,1,4,2,1,1]=>[{1,2,5,6},{4},{3}]=>[1,2,5,6,4,3]
[1,2,1,1,1,4]=>[{1,3,4,5},{2},{6}]=>[1,3,4,5,2,6]
[1,2,1,1,4,1]=>[{1,3,4,6},{2},{5}]=>[1,3,4,6,2,5]
[1,2,1,4,1,1]=>[{1,3,5,6},{2},{4}]=>[1,3,5,6,2,4]
[1,2,4,1,1,1]=>[{1,4,5,6},{2},{3}]=>[1,4,5,6,2,3]
[1,4,1,1,1,2]=>[{1,3,4,5},{6},{2}]=>[1,3,4,5,6,2]
[1,4,1,1,2,1]=>[{1,3,4,6},{5},{2}]=>[1,3,4,6,5,2]
[1,4,1,2,1,1]=>[{1,3,5,6},{4},{2}]=>[1,3,5,6,4,2]
[1,4,2,1,1,1]=>[{1,4,5,6},{3},{2}]=>[1,4,5,6,3,2]
[2,1,1,1,1,4]=>[{2,3,4,5},{1},{6}]=>[2,3,4,5,1,6]
[2,1,1,1,4,1]=>[{2,3,4,6},{1},{5}]=>[2,3,4,6,1,5]
[2,1,1,4,1,1]=>[{2,3,5,6},{1},{4}]=>[2,3,5,6,1,4]
[2,1,4,1,1,1]=>[{2,4,5,6},{1},{3}]=>[2,4,5,6,1,3]
[2,4,1,1,1,1]=>[{3,4,5,6},{1},{2}]=>[3,4,5,6,1,2]
[4,1,1,1,1,2]=>[{2,3,4,5},{6},{1}]=>[2,3,4,5,6,1]
[4,1,1,1,2,1]=>[{2,3,4,6},{5},{1}]=>[2,3,4,6,5,1]
[4,1,1,2,1,1]=>[{2,3,5,6},{4},{1}]=>[2,3,5,6,4,1]
[4,1,2,1,1,1]=>[{2,4,5,6},{3},{1}]=>[2,4,5,6,3,1]
[4,2,1,1,1,1]=>[{3,4,5,6},{2},{1}]=>[3,4,5,6,2,1]
[1,1,1,1,2,5]=>[{1,2,3,4},{5},{6}]=>[1,2,3,4,5,6]
[1,1,1,1,5,2]=>[{1,2,3,4},{6},{5}]=>[1,2,3,4,6,5]
[1,1,1,2,1,5]=>[{1,2,3,5},{4},{6}]=>[1,2,3,5,4,6]
[1,1,1,2,5,1]=>[{1,2,3,6},{4},{5}]=>[1,2,3,6,4,5]
[1,1,1,5,1,2]=>[{1,2,3,5},{6},{4}]=>[1,2,3,5,6,4]
[1,1,1,5,2,1]=>[{1,2,3,6},{5},{4}]=>[1,2,3,6,5,4]
[1,1,2,1,1,5]=>[{1,2,4,5},{3},{6}]=>[1,2,4,5,3,6]
[1,1,2,1,5,1]=>[{1,2,4,6},{3},{5}]=>[1,2,4,6,3,5]
[1,1,2,5,1,1]=>[{1,2,5,6},{3},{4}]=>[1,2,5,6,3,4]
[1,1,5,1,1,2]=>[{1,2,4,5},{6},{3}]=>[1,2,4,5,6,3]
[1,1,5,1,2,1]=>[{1,2,4,6},{5},{3}]=>[1,2,4,6,5,3]
[1,1,5,2,1,1]=>[{1,2,5,6},{4},{3}]=>[1,2,5,6,4,3]
[1,2,1,1,1,5]=>[{1,3,4,5},{2},{6}]=>[1,3,4,5,2,6]
[1,2,1,1,5,1]=>[{1,3,4,6},{2},{5}]=>[1,3,4,6,2,5]
[1,2,1,5,1,1]=>[{1,3,5,6},{2},{4}]=>[1,3,5,6,2,4]
[1,2,5,1,1,1]=>[{1,4,5,6},{2},{3}]=>[1,4,5,6,2,3]
[1,5,1,1,1,2]=>[{1,3,4,5},{6},{2}]=>[1,3,4,5,6,2]
[1,5,1,1,2,1]=>[{1,3,4,6},{5},{2}]=>[1,3,4,6,5,2]
[1,5,1,2,1,1]=>[{1,3,5,6},{4},{2}]=>[1,3,5,6,4,2]
[1,5,2,1,1,1]=>[{1,4,5,6},{3},{2}]=>[1,4,5,6,3,2]
[2,1,1,1,1,5]=>[{2,3,4,5},{1},{6}]=>[2,3,4,5,1,6]
[2,1,1,1,5,1]=>[{2,3,4,6},{1},{5}]=>[2,3,4,6,1,5]
[2,1,1,5,1,1]=>[{2,3,5,6},{1},{4}]=>[2,3,5,6,1,4]
[2,1,5,1,1,1]=>[{2,4,5,6},{1},{3}]=>[2,4,5,6,1,3]
[2,5,1,1,1,1]=>[{3,4,5,6},{1},{2}]=>[3,4,5,6,1,2]
[5,1,1,1,1,2]=>[{2,3,4,5},{6},{1}]=>[2,3,4,5,6,1]
[5,1,1,1,2,1]=>[{2,3,4,6},{5},{1}]=>[2,3,4,6,5,1]
[5,1,1,2,1,1]=>[{2,3,5,6},{4},{1}]=>[2,3,5,6,4,1]
[5,1,2,1,1,1]=>[{2,4,5,6},{3},{1}]=>[2,4,5,6,3,1]
[5,2,1,1,1,1]=>[{3,4,5,6},{2},{1}]=>[3,4,5,6,2,1]
[1,1,1,1,2,6]=>[{1,2,3,4},{5},{6}]=>[1,2,3,4,5,6]
[1,1,1,1,6,2]=>[{1,2,3,4},{6},{5}]=>[1,2,3,4,6,5]
[1,1,1,2,1,6]=>[{1,2,3,5},{4},{6}]=>[1,2,3,5,4,6]
[1,1,1,2,6,1]=>[{1,2,3,6},{4},{5}]=>[1,2,3,6,4,5]
[1,1,1,6,1,2]=>[{1,2,3,5},{6},{4}]=>[1,2,3,5,6,4]
[1,1,1,6,2,1]=>[{1,2,3,6},{5},{4}]=>[1,2,3,6,5,4]
[1,1,2,1,1,6]=>[{1,2,4,5},{3},{6}]=>[1,2,4,5,3,6]
[1,1,2,1,6,1]=>[{1,2,4,6},{3},{5}]=>[1,2,4,6,3,5]
[1,1,2,6,1,1]=>[{1,2,5,6},{3},{4}]=>[1,2,5,6,3,4]
[1,1,6,1,1,2]=>[{1,2,4,5},{6},{3}]=>[1,2,4,5,6,3]
[1,1,6,1,2,1]=>[{1,2,4,6},{5},{3}]=>[1,2,4,6,5,3]
[1,1,6,2,1,1]=>[{1,2,5,6},{4},{3}]=>[1,2,5,6,4,3]
[1,2,1,1,1,6]=>[{1,3,4,5},{2},{6}]=>[1,3,4,5,2,6]
[1,2,1,1,6,1]=>[{1,3,4,6},{2},{5}]=>[1,3,4,6,2,5]
[1,2,1,6,1,1]=>[{1,3,5,6},{2},{4}]=>[1,3,5,6,2,4]
[1,2,6,1,1,1]=>[{1,4,5,6},{2},{3}]=>[1,4,5,6,2,3]
[1,6,1,1,1,2]=>[{1,3,4,5},{6},{2}]=>[1,3,4,5,6,2]
[1,6,1,1,2,1]=>[{1,3,4,6},{5},{2}]=>[1,3,4,6,5,2]
[1,6,1,2,1,1]=>[{1,3,5,6},{4},{2}]=>[1,3,5,6,4,2]
[1,6,2,1,1,1]=>[{1,4,5,6},{3},{2}]=>[1,4,5,6,3,2]
[2,1,1,1,1,6]=>[{2,3,4,5},{1},{6}]=>[2,3,4,5,1,6]
[2,1,1,1,6,1]=>[{2,3,4,6},{1},{5}]=>[2,3,4,6,1,5]
[2,1,1,6,1,1]=>[{2,3,5,6},{1},{4}]=>[2,3,5,6,1,4]
[2,1,6,1,1,1]=>[{2,4,5,6},{1},{3}]=>[2,4,5,6,1,3]
[2,6,1,1,1,1]=>[{3,4,5,6},{1},{2}]=>[3,4,5,6,1,2]
[6,1,1,1,1,2]=>[{2,3,4,5},{6},{1}]=>[2,3,4,5,6,1]
[6,1,1,1,2,1]=>[{2,3,4,6},{5},{1}]=>[2,3,4,6,5,1]
[6,1,1,2,1,1]=>[{2,3,5,6},{4},{1}]=>[2,3,5,6,4,1]
[6,1,2,1,1,1]=>[{2,4,5,6},{3},{1}]=>[2,4,5,6,3,1]
[6,2,1,1,1,1]=>[{3,4,5,6},{2},{1}]=>[3,4,5,6,2,1]
[1,1,1,1,3,3]=>[{1,2,3,4},{5,6}]=>[1,2,3,4,5,6]
[1,1,1,3,1,3]=>[{1,2,3,5},{4,6}]=>[1,2,3,5,4,6]
[1,1,1,3,3,1]=>[{1,2,3,6},{4,5}]=>[1,2,3,6,4,5]
[1,1,3,1,1,3]=>[{1,2,4,5},{3,6}]=>[1,2,4,5,3,6]
[1,1,3,1,3,1]=>[{1,2,4,6},{3,5}]=>[1,2,4,6,3,5]
[1,1,3,3,1,1]=>[{1,2,5,6},{3,4}]=>[1,2,5,6,3,4]
[1,3,1,1,1,3]=>[{1,3,4,5},{2,6}]=>[1,3,4,5,2,6]
[1,3,1,1,3,1]=>[{1,3,4,6},{2,5}]=>[1,3,4,6,2,5]
[1,3,1,3,1,1]=>[{1,3,5,6},{2,4}]=>[1,3,5,6,2,4]
[1,3,3,1,1,1]=>[{1,4,5,6},{2,3}]=>[1,4,5,6,2,3]
[3,1,1,1,1,3]=>[{2,3,4,5},{1,6}]=>[2,3,4,5,1,6]
[3,1,1,1,3,1]=>[{2,3,4,6},{1,5}]=>[2,3,4,6,1,5]
[3,1,1,3,1,1]=>[{2,3,5,6},{1,4}]=>[2,3,5,6,1,4]
[3,1,3,1,1,1]=>[{2,4,5,6},{1,3}]=>[2,4,5,6,1,3]
[3,3,1,1,1,1]=>[{3,4,5,6},{1,2}]=>[3,4,5,6,1,2]
[1,1,1,1,3,4]=>[{1,2,3,4},{5},{6}]=>[1,2,3,4,5,6]
[1,1,1,1,4,3]=>[{1,2,3,4},{6},{5}]=>[1,2,3,4,6,5]
[1,1,1,3,1,4]=>[{1,2,3,5},{4},{6}]=>[1,2,3,5,4,6]
[1,1,1,3,4,1]=>[{1,2,3,6},{4},{5}]=>[1,2,3,6,4,5]
[1,1,1,4,1,3]=>[{1,2,3,5},{6},{4}]=>[1,2,3,5,6,4]
[1,1,1,4,3,1]=>[{1,2,3,6},{5},{4}]=>[1,2,3,6,5,4]
[1,1,3,1,1,4]=>[{1,2,4,5},{3},{6}]=>[1,2,4,5,3,6]
[1,1,3,1,4,1]=>[{1,2,4,6},{3},{5}]=>[1,2,4,6,3,5]
[1,1,3,4,1,1]=>[{1,2,5,6},{3},{4}]=>[1,2,5,6,3,4]
[1,1,4,1,1,3]=>[{1,2,4,5},{6},{3}]=>[1,2,4,5,6,3]
[1,1,4,1,3,1]=>[{1,2,4,6},{5},{3}]=>[1,2,4,6,5,3]
[1,1,4,3,1,1]=>[{1,2,5,6},{4},{3}]=>[1,2,5,6,4,3]
[1,3,1,1,1,4]=>[{1,3,4,5},{2},{6}]=>[1,3,4,5,2,6]
[1,3,1,1,4,1]=>[{1,3,4,6},{2},{5}]=>[1,3,4,6,2,5]
[1,3,1,4,1,1]=>[{1,3,5,6},{2},{4}]=>[1,3,5,6,2,4]
[1,3,4,1,1,1]=>[{1,4,5,6},{2},{3}]=>[1,4,5,6,2,3]
[1,4,1,1,1,3]=>[{1,3,4,5},{6},{2}]=>[1,3,4,5,6,2]
[1,4,1,1,3,1]=>[{1,3,4,6},{5},{2}]=>[1,3,4,6,5,2]
[1,4,1,3,1,1]=>[{1,3,5,6},{4},{2}]=>[1,3,5,6,4,2]
[1,4,3,1,1,1]=>[{1,4,5,6},{3},{2}]=>[1,4,5,6,3,2]
[3,1,1,1,1,4]=>[{2,3,4,5},{1},{6}]=>[2,3,4,5,1,6]
[3,1,1,1,4,1]=>[{2,3,4,6},{1},{5}]=>[2,3,4,6,1,5]
[3,1,1,4,1,1]=>[{2,3,5,6},{1},{4}]=>[2,3,5,6,1,4]
[3,1,4,1,1,1]=>[{2,4,5,6},{1},{3}]=>[2,4,5,6,1,3]
[3,4,1,1,1,1]=>[{3,4,5,6},{1},{2}]=>[3,4,5,6,1,2]
[4,1,1,1,1,3]=>[{2,3,4,5},{6},{1}]=>[2,3,4,5,6,1]
[4,1,1,1,3,1]=>[{2,3,4,6},{5},{1}]=>[2,3,4,6,5,1]
[4,1,1,3,1,1]=>[{2,3,5,6},{4},{1}]=>[2,3,5,6,4,1]
[4,1,3,1,1,1]=>[{2,4,5,6},{3},{1}]=>[2,4,5,6,3,1]
[4,3,1,1,1,1]=>[{3,4,5,6},{2},{1}]=>[3,4,5,6,2,1]
[1,1,1,1,3,5]=>[{1,2,3,4},{5},{6}]=>[1,2,3,4,5,6]
[1,1,1,1,5,3]=>[{1,2,3,4},{6},{5}]=>[1,2,3,4,6,5]
[1,1,1,3,1,5]=>[{1,2,3,5},{4},{6}]=>[1,2,3,5,4,6]
[1,1,1,3,5,1]=>[{1,2,3,6},{4},{5}]=>[1,2,3,6,4,5]
[1,1,1,5,1,3]=>[{1,2,3,5},{6},{4}]=>[1,2,3,5,6,4]
[1,1,1,5,3,1]=>[{1,2,3,6},{5},{4}]=>[1,2,3,6,5,4]
[1,1,3,1,1,5]=>[{1,2,4,5},{3},{6}]=>[1,2,4,5,3,6]
[1,1,3,1,5,1]=>[{1,2,4,6},{3},{5}]=>[1,2,4,6,3,5]
[1,1,3,5,1,1]=>[{1,2,5,6},{3},{4}]=>[1,2,5,6,3,4]
[1,1,5,1,1,3]=>[{1,2,4,5},{6},{3}]=>[1,2,4,5,6,3]
[1,1,5,1,3,1]=>[{1,2,4,6},{5},{3}]=>[1,2,4,6,5,3]
[1,1,5,3,1,1]=>[{1,2,5,6},{4},{3}]=>[1,2,5,6,4,3]
[1,3,1,1,1,5]=>[{1,3,4,5},{2},{6}]=>[1,3,4,5,2,6]
[1,3,1,1,5,1]=>[{1,3,4,6},{2},{5}]=>[1,3,4,6,2,5]
[1,3,1,5,1,1]=>[{1,3,5,6},{2},{4}]=>[1,3,5,6,2,4]
[1,3,5,1,1,1]=>[{1,4,5,6},{2},{3}]=>[1,4,5,6,2,3]
[1,5,1,1,1,3]=>[{1,3,4,5},{6},{2}]=>[1,3,4,5,6,2]
[1,5,1,1,3,1]=>[{1,3,4,6},{5},{2}]=>[1,3,4,6,5,2]
[1,5,1,3,1,1]=>[{1,3,5,6},{4},{2}]=>[1,3,5,6,4,2]
[1,5,3,1,1,1]=>[{1,4,5,6},{3},{2}]=>[1,4,5,6,3,2]
[3,1,1,1,1,5]=>[{2,3,4,5},{1},{6}]=>[2,3,4,5,1,6]
[3,1,1,1,5,1]=>[{2,3,4,6},{1},{5}]=>[2,3,4,6,1,5]
[3,1,1,5,1,1]=>[{2,3,5,6},{1},{4}]=>[2,3,5,6,1,4]
[3,1,5,1,1,1]=>[{2,4,5,6},{1},{3}]=>[2,4,5,6,1,3]
[3,5,1,1,1,1]=>[{3,4,5,6},{1},{2}]=>[3,4,5,6,1,2]
[5,1,1,1,1,3]=>[{2,3,4,5},{6},{1}]=>[2,3,4,5,6,1]
[5,1,1,1,3,1]=>[{2,3,4,6},{5},{1}]=>[2,3,4,6,5,1]
[5,1,1,3,1,1]=>[{2,3,5,6},{4},{1}]=>[2,3,5,6,4,1]
[5,1,3,1,1,1]=>[{2,4,5,6},{3},{1}]=>[2,4,5,6,3,1]
[5,3,1,1,1,1]=>[{3,4,5,6},{2},{1}]=>[3,4,5,6,2,1]
[1,1,1,1,3,6]=>[{1,2,3,4},{5},{6}]=>[1,2,3,4,5,6]
[1,1,1,1,6,3]=>[{1,2,3,4},{6},{5}]=>[1,2,3,4,6,5]
[1,1,1,3,1,6]=>[{1,2,3,5},{4},{6}]=>[1,2,3,5,4,6]
[1,1,1,3,6,1]=>[{1,2,3,6},{4},{5}]=>[1,2,3,6,4,5]
[1,1,1,6,1,3]=>[{1,2,3,5},{6},{4}]=>[1,2,3,5,6,4]
[1,1,1,6,3,1]=>[{1,2,3,6},{5},{4}]=>[1,2,3,6,5,4]
[1,1,3,1,1,6]=>[{1,2,4,5},{3},{6}]=>[1,2,4,5,3,6]
[1,1,3,1,6,1]=>[{1,2,4,6},{3},{5}]=>[1,2,4,6,3,5]
[1,1,3,6,1,1]=>[{1,2,5,6},{3},{4}]=>[1,2,5,6,3,4]
[1,1,6,1,1,3]=>[{1,2,4,5},{6},{3}]=>[1,2,4,5,6,3]
[1,1,6,1,3,1]=>[{1,2,4,6},{5},{3}]=>[1,2,4,6,5,3]
[1,1,6,3,1,1]=>[{1,2,5,6},{4},{3}]=>[1,2,5,6,4,3]
[1,3,1,1,1,6]=>[{1,3,4,5},{2},{6}]=>[1,3,4,5,2,6]
[1,3,1,1,6,1]=>[{1,3,4,6},{2},{5}]=>[1,3,4,6,2,5]
[1,3,1,6,1,1]=>[{1,3,5,6},{2},{4}]=>[1,3,5,6,2,4]
[1,3,6,1,1,1]=>[{1,4,5,6},{2},{3}]=>[1,4,5,6,2,3]
[1,6,1,1,1,3]=>[{1,3,4,5},{6},{2}]=>[1,3,4,5,6,2]
[1,6,1,1,3,1]=>[{1,3,4,6},{5},{2}]=>[1,3,4,6,5,2]
[1,6,1,3,1,1]=>[{1,3,5,6},{4},{2}]=>[1,3,5,6,4,2]
[1,6,3,1,1,1]=>[{1,4,5,6},{3},{2}]=>[1,4,5,6,3,2]
[3,1,1,1,1,6]=>[{2,3,4,5},{1},{6}]=>[2,3,4,5,1,6]
[3,1,1,1,6,1]=>[{2,3,4,6},{1},{5}]=>[2,3,4,6,1,5]
[3,1,1,6,1,1]=>[{2,3,5,6},{1},{4}]=>[2,3,5,6,1,4]
[3,1,6,1,1,1]=>[{2,4,5,6},{1},{3}]=>[2,4,5,6,1,3]
[3,6,1,1,1,1]=>[{3,4,5,6},{1},{2}]=>[3,4,5,6,1,2]
[6,1,1,1,1,3]=>[{2,3,4,5},{6},{1}]=>[2,3,4,5,6,1]
[6,1,1,1,3,1]=>[{2,3,4,6},{5},{1}]=>[2,3,4,6,5,1]
[6,1,1,3,1,1]=>[{2,3,5,6},{4},{1}]=>[2,3,5,6,4,1]
[6,1,3,1,1,1]=>[{2,4,5,6},{3},{1}]=>[2,4,5,6,3,1]
[6,3,1,1,1,1]=>[{3,4,5,6},{2},{1}]=>[3,4,5,6,2,1]
[1,1,1,1,4,4]=>[{1,2,3,4},{5,6}]=>[1,2,3,4,5,6]
[1,1,1,4,1,4]=>[{1,2,3,5},{4,6}]=>[1,2,3,5,4,6]
[1,1,1,4,4,1]=>[{1,2,3,6},{4,5}]=>[1,2,3,6,4,5]
[1,1,4,1,1,4]=>[{1,2,4,5},{3,6}]=>[1,2,4,5,3,6]
[1,1,4,1,4,1]=>[{1,2,4,6},{3,5}]=>[1,2,4,6,3,5]
[1,1,4,4,1,1]=>[{1,2,5,6},{3,4}]=>[1,2,5,6,3,4]
[1,4,1,1,1,4]=>[{1,3,4,5},{2,6}]=>[1,3,4,5,2,6]
[1,4,1,1,4,1]=>[{1,3,4,6},{2,5}]=>[1,3,4,6,2,5]
[1,4,1,4,1,1]=>[{1,3,5,6},{2,4}]=>[1,3,5,6,2,4]
[1,4,4,1,1,1]=>[{1,4,5,6},{2,3}]=>[1,4,5,6,2,3]
[4,1,1,1,1,4]=>[{2,3,4,5},{1,6}]=>[2,3,4,5,1,6]
[4,1,1,1,4,1]=>[{2,3,4,6},{1,5}]=>[2,3,4,6,1,5]
[4,1,1,4,1,1]=>[{2,3,5,6},{1,4}]=>[2,3,5,6,1,4]
[4,1,4,1,1,1]=>[{2,4,5,6},{1,3}]=>[2,4,5,6,1,3]
[4,4,1,1,1,1]=>[{3,4,5,6},{1,2}]=>[3,4,5,6,1,2]
[1,1,1,1,4,5]=>[{1,2,3,4},{5},{6}]=>[1,2,3,4,5,6]
[1,1,1,1,5,4]=>[{1,2,3,4},{6},{5}]=>[1,2,3,4,6,5]
[1,1,1,4,1,5]=>[{1,2,3,5},{4},{6}]=>[1,2,3,5,4,6]
[1,1,1,4,5,1]=>[{1,2,3,6},{4},{5}]=>[1,2,3,6,4,5]
[1,1,1,5,1,4]=>[{1,2,3,5},{6},{4}]=>[1,2,3,5,6,4]
[1,1,1,5,4,1]=>[{1,2,3,6},{5},{4}]=>[1,2,3,6,5,4]
[1,1,4,1,1,5]=>[{1,2,4,5},{3},{6}]=>[1,2,4,5,3,6]
[1,1,4,1,5,1]=>[{1,2,4,6},{3},{5}]=>[1,2,4,6,3,5]
[1,1,4,5,1,1]=>[{1,2,5,6},{3},{4}]=>[1,2,5,6,3,4]
[1,1,5,1,1,4]=>[{1,2,4,5},{6},{3}]=>[1,2,4,5,6,3]
[1,1,5,1,4,1]=>[{1,2,4,6},{5},{3}]=>[1,2,4,6,5,3]
[1,1,5,4,1,1]=>[{1,2,5,6},{4},{3}]=>[1,2,5,6,4,3]
[1,4,1,1,1,5]=>[{1,3,4,5},{2},{6}]=>[1,3,4,5,2,6]
[1,4,1,1,5,1]=>[{1,3,4,6},{2},{5}]=>[1,3,4,6,2,5]
[1,4,1,5,1,1]=>[{1,3,5,6},{2},{4}]=>[1,3,5,6,2,4]
[1,4,5,1,1,1]=>[{1,4,5,6},{2},{3}]=>[1,4,5,6,2,3]
[1,5,1,1,1,4]=>[{1,3,4,5},{6},{2}]=>[1,3,4,5,6,2]
[1,5,1,1,4,1]=>[{1,3,4,6},{5},{2}]=>[1,3,4,6,5,2]
[1,5,1,4,1,1]=>[{1,3,5,6},{4},{2}]=>[1,3,5,6,4,2]
[1,5,4,1,1,1]=>[{1,4,5,6},{3},{2}]=>[1,4,5,6,3,2]
[4,1,1,1,1,5]=>[{2,3,4,5},{1},{6}]=>[2,3,4,5,1,6]
[4,1,1,1,5,1]=>[{2,3,4,6},{1},{5}]=>[2,3,4,6,1,5]
[4,1,1,5,1,1]=>[{2,3,5,6},{1},{4}]=>[2,3,5,6,1,4]
[4,1,5,1,1,1]=>[{2,4,5,6},{1},{3}]=>[2,4,5,6,1,3]
[4,5,1,1,1,1]=>[{3,4,5,6},{1},{2}]=>[3,4,5,6,1,2]
[5,1,1,1,1,4]=>[{2,3,4,5},{6},{1}]=>[2,3,4,5,6,1]
[5,1,1,1,4,1]=>[{2,3,4,6},{5},{1}]=>[2,3,4,6,5,1]
[5,1,1,4,1,1]=>[{2,3,5,6},{4},{1}]=>[2,3,5,6,4,1]
[5,1,4,1,1,1]=>[{2,4,5,6},{3},{1}]=>[2,4,5,6,3,1]
[5,4,1,1,1,1]=>[{3,4,5,6},{2},{1}]=>[3,4,5,6,2,1]
[1,1,1,1,4,6]=>[{1,2,3,4},{5},{6}]=>[1,2,3,4,5,6]
[1,1,1,1,6,4]=>[{1,2,3,4},{6},{5}]=>[1,2,3,4,6,5]
[1,1,1,4,1,6]=>[{1,2,3,5},{4},{6}]=>[1,2,3,5,4,6]
[1,1,1,4,6,1]=>[{1,2,3,6},{4},{5}]=>[1,2,3,6,4,5]
[1,1,1,6,1,4]=>[{1,2,3,5},{6},{4}]=>[1,2,3,5,6,4]
[1,1,1,6,4,1]=>[{1,2,3,6},{5},{4}]=>[1,2,3,6,5,4]
[1,1,4,1,1,6]=>[{1,2,4,5},{3},{6}]=>[1,2,4,5,3,6]
[1,1,4,1,6,1]=>[{1,2,4,6},{3},{5}]=>[1,2,4,6,3,5]
[1,1,4,6,1,1]=>[{1,2,5,6},{3},{4}]=>[1,2,5,6,3,4]
[1,1,6,1,1,4]=>[{1,2,4,5},{6},{3}]=>[1,2,4,5,6,3]
[1,1,6,1,4,1]=>[{1,2,4,6},{5},{3}]=>[1,2,4,6,5,3]
[1,1,6,4,1,1]=>[{1,2,5,6},{4},{3}]=>[1,2,5,6,4,3]
[1,4,1,1,1,6]=>[{1,3,4,5},{2},{6}]=>[1,3,4,5,2,6]
[1,4,1,1,6,1]=>[{1,3,4,6},{2},{5}]=>[1,3,4,6,2,5]
[1,4,1,6,1,1]=>[{1,3,5,6},{2},{4}]=>[1,3,5,6,2,4]
[1,4,6,1,1,1]=>[{1,4,5,6},{2},{3}]=>[1,4,5,6,2,3]
[1,6,1,1,1,4]=>[{1,3,4,5},{6},{2}]=>[1,3,4,5,6,2]
[1,6,1,1,4,1]=>[{1,3,4,6},{5},{2}]=>[1,3,4,6,5,2]
[1,6,1,4,1,1]=>[{1,3,5,6},{4},{2}]=>[1,3,5,6,4,2]
[1,6,4,1,1,1]=>[{1,4,5,6},{3},{2}]=>[1,4,5,6,3,2]
[4,1,1,1,1,6]=>[{2,3,4,5},{1},{6}]=>[2,3,4,5,1,6]
[4,1,1,1,6,1]=>[{2,3,4,6},{1},{5}]=>[2,3,4,6,1,5]
[4,1,1,6,1,1]=>[{2,3,5,6},{1},{4}]=>[2,3,5,6,1,4]
[4,1,6,1,1,1]=>[{2,4,5,6},{1},{3}]=>[2,4,5,6,1,3]
[4,6,1,1,1,1]=>[{3,4,5,6},{1},{2}]=>[3,4,5,6,1,2]
[6,1,1,1,1,4]=>[{2,3,4,5},{6},{1}]=>[2,3,4,5,6,1]
[6,1,1,1,4,1]=>[{2,3,4,6},{5},{1}]=>[2,3,4,6,5,1]
[6,1,1,4,1,1]=>[{2,3,5,6},{4},{1}]=>[2,3,5,6,4,1]
[6,1,4,1,1,1]=>[{2,4,5,6},{3},{1}]=>[2,4,5,6,3,1]
[6,4,1,1,1,1]=>[{3,4,5,6},{2},{1}]=>[3,4,5,6,2,1]
[1,1,1,1,5,5]=>[{1,2,3,4},{5,6}]=>[1,2,3,4,5,6]
[1,1,1,5,1,5]=>[{1,2,3,5},{4,6}]=>[1,2,3,5,4,6]
[1,1,1,5,5,1]=>[{1,2,3,6},{4,5}]=>[1,2,3,6,4,5]
[1,1,5,1,1,5]=>[{1,2,4,5},{3,6}]=>[1,2,4,5,3,6]
[1,1,5,1,5,1]=>[{1,2,4,6},{3,5}]=>[1,2,4,6,3,5]
[1,1,5,5,1,1]=>[{1,2,5,6},{3,4}]=>[1,2,5,6,3,4]
[1,5,1,1,1,5]=>[{1,3,4,5},{2,6}]=>[1,3,4,5,2,6]
[1,5,1,1,5,1]=>[{1,3,4,6},{2,5}]=>[1,3,4,6,2,5]
[1,5,1,5,1,1]=>[{1,3,5,6},{2,4}]=>[1,3,5,6,2,4]
[1,5,5,1,1,1]=>[{1,4,5,6},{2,3}]=>[1,4,5,6,2,3]
[5,1,1,1,1,5]=>[{2,3,4,5},{1,6}]=>[2,3,4,5,1,6]
[5,1,1,1,5,1]=>[{2,3,4,6},{1,5}]=>[2,3,4,6,1,5]
[5,1,1,5,1,1]=>[{2,3,5,6},{1,4}]=>[2,3,5,6,1,4]
[5,1,5,1,1,1]=>[{2,4,5,6},{1,3}]=>[2,4,5,6,1,3]
[5,5,1,1,1,1]=>[{3,4,5,6},{1,2}]=>[3,4,5,6,1,2]
[1,1,1,1,5,6]=>[{1,2,3,4},{5},{6}]=>[1,2,3,4,5,6]
[1,1,1,1,6,5]=>[{1,2,3,4},{6},{5}]=>[1,2,3,4,6,5]
[1,1,1,5,1,6]=>[{1,2,3,5},{4},{6}]=>[1,2,3,5,4,6]
[1,1,1,5,6,1]=>[{1,2,3,6},{4},{5}]=>[1,2,3,6,4,5]
[1,1,1,6,1,5]=>[{1,2,3,5},{6},{4}]=>[1,2,3,5,6,4]
[1,1,1,6,5,1]=>[{1,2,3,6},{5},{4}]=>[1,2,3,6,5,4]
[1,1,5,1,1,6]=>[{1,2,4,5},{3},{6}]=>[1,2,4,5,3,6]
[1,1,5,1,6,1]=>[{1,2,4,6},{3},{5}]=>[1,2,4,6,3,5]
[1,1,5,6,1,1]=>[{1,2,5,6},{3},{4}]=>[1,2,5,6,3,4]
[1,1,6,1,1,5]=>[{1,2,4,5},{6},{3}]=>[1,2,4,5,6,3]
[1,1,6,1,5,1]=>[{1,2,4,6},{5},{3}]=>[1,2,4,6,5,3]
[1,1,6,5,1,1]=>[{1,2,5,6},{4},{3}]=>[1,2,5,6,4,3]
[1,5,1,1,1,6]=>[{1,3,4,5},{2},{6}]=>[1,3,4,5,2,6]
[1,5,1,1,6,1]=>[{1,3,4,6},{2},{5}]=>[1,3,4,6,2,5]
[1,5,1,6,1,1]=>[{1,3,5,6},{2},{4}]=>[1,3,5,6,2,4]
[1,5,6,1,1,1]=>[{1,4,5,6},{2},{3}]=>[1,4,5,6,2,3]
[1,6,1,1,1,5]=>[{1,3,4,5},{6},{2}]=>[1,3,4,5,6,2]
[1,6,1,1,5,1]=>[{1,3,4,6},{5},{2}]=>[1,3,4,6,5,2]
[1,6,1,5,1,1]=>[{1,3,5,6},{4},{2}]=>[1,3,5,6,4,2]
[1,6,5,1,1,1]=>[{1,4,5,6},{3},{2}]=>[1,4,5,6,3,2]
[5,1,1,1,1,6]=>[{2,3,4,5},{1},{6}]=>[2,3,4,5,1,6]
[5,1,1,1,6,1]=>[{2,3,4,6},{1},{5}]=>[2,3,4,6,1,5]
[5,1,1,6,1,1]=>[{2,3,5,6},{1},{4}]=>[2,3,5,6,1,4]
[5,1,6,1,1,1]=>[{2,4,5,6},{1},{3}]=>[2,4,5,6,1,3]
[5,6,1,1,1,1]=>[{3,4,5,6},{1},{2}]=>[3,4,5,6,1,2]
[6,1,1,1,1,5]=>[{2,3,4,5},{6},{1}]=>[2,3,4,5,6,1]
[6,1,1,1,5,1]=>[{2,3,4,6},{5},{1}]=>[2,3,4,6,5,1]
[6,1,1,5,1,1]=>[{2,3,5,6},{4},{1}]=>[2,3,5,6,4,1]
[6,1,5,1,1,1]=>[{2,4,5,6},{3},{1}]=>[2,4,5,6,3,1]
[6,5,1,1,1,1]=>[{3,4,5,6},{2},{1}]=>[3,4,5,6,2,1]
[1,1,1,2,2,2]=>[{1,2,3},{4,5,6}]=>[1,2,3,4,5,6]
[1,1,2,1,2,2]=>[{1,2,4},{3,5,6}]=>[1,2,4,3,5,6]
[1,1,2,2,1,2]=>[{1,2,5},{3,4,6}]=>[1,2,5,3,4,6]
[1,1,2,2,2,1]=>[{1,2,6},{3,4,5}]=>[1,2,6,3,4,5]
[1,2,1,1,2,2]=>[{1,3,4},{2,5,6}]=>[1,3,4,2,5,6]
[1,2,1,2,1,2]=>[{1,3,5},{2,4,6}]=>[1,3,5,2,4,6]
[1,2,1,2,2,1]=>[{1,3,6},{2,4,5}]=>[1,3,6,2,4,5]
[1,2,2,1,1,2]=>[{1,4,5},{2,3,6}]=>[1,4,5,2,3,6]
[1,2,2,1,2,1]=>[{1,4,6},{2,3,5}]=>[1,4,6,2,3,5]
[1,2,2,2,1,1]=>[{1,5,6},{2,3,4}]=>[1,5,6,2,3,4]
[2,1,1,1,2,2]=>[{2,3,4},{1,5,6}]=>[2,3,4,1,5,6]
[2,1,1,2,1,2]=>[{2,3,5},{1,4,6}]=>[2,3,5,1,4,6]
[2,1,1,2,2,1]=>[{2,3,6},{1,4,5}]=>[2,3,6,1,4,5]
[2,1,2,1,1,2]=>[{2,4,5},{1,3,6}]=>[2,4,5,1,3,6]
[2,1,2,1,2,1]=>[{2,4,6},{1,3,5}]=>[2,4,6,1,3,5]
[2,1,2,2,1,1]=>[{2,5,6},{1,3,4}]=>[2,5,6,1,3,4]
[2,2,1,1,1,2]=>[{3,4,5},{1,2,6}]=>[3,4,5,1,2,6]
[2,2,1,1,2,1]=>[{3,4,6},{1,2,5}]=>[3,4,6,1,2,5]
[2,2,1,2,1,1]=>[{3,5,6},{1,2,4}]=>[3,5,6,1,2,4]
[2,2,2,1,1,1]=>[{4,5,6},{1,2,3}]=>[4,5,6,1,2,3]
[1,1,1,2,2,3]=>[{1,2,3},{4,5},{6}]=>[1,2,3,4,5,6]
[1,1,1,2,3,2]=>[{1,2,3},{4,6},{5}]=>[1,2,3,4,6,5]
[1,1,1,3,2,2]=>[{1,2,3},{5,6},{4}]=>[1,2,3,5,6,4]
[1,1,2,1,2,3]=>[{1,2,4},{3,5},{6}]=>[1,2,4,3,5,6]
[1,1,2,1,3,2]=>[{1,2,4},{3,6},{5}]=>[1,2,4,3,6,5]
[1,1,2,2,1,3]=>[{1,2,5},{3,4},{6}]=>[1,2,5,3,4,6]
[1,1,2,2,3,1]=>[{1,2,6},{3,4},{5}]=>[1,2,6,3,4,5]
[1,1,2,3,1,2]=>[{1,2,5},{3,6},{4}]=>[1,2,5,3,6,4]
[1,1,2,3,2,1]=>[{1,2,6},{3,5},{4}]=>[1,2,6,3,5,4]
[1,1,3,1,2,2]=>[{1,2,4},{5,6},{3}]=>[1,2,4,5,6,3]
[1,1,3,2,1,2]=>[{1,2,5},{4,6},{3}]=>[1,2,5,4,6,3]
[1,1,3,2,2,1]=>[{1,2,6},{4,5},{3}]=>[1,2,6,4,5,3]
[1,2,1,1,2,3]=>[{1,3,4},{2,5},{6}]=>[1,3,4,2,5,6]
[1,2,1,1,3,2]=>[{1,3,4},{2,6},{5}]=>[1,3,4,2,6,5]
[1,2,1,2,1,3]=>[{1,3,5},{2,4},{6}]=>[1,3,5,2,4,6]
[1,2,1,2,3,1]=>[{1,3,6},{2,4},{5}]=>[1,3,6,2,4,5]
[1,2,1,3,1,2]=>[{1,3,5},{2,6},{4}]=>[1,3,5,2,6,4]
[1,2,1,3,2,1]=>[{1,3,6},{2,5},{4}]=>[1,3,6,2,5,4]
[1,2,2,1,1,3]=>[{1,4,5},{2,3},{6}]=>[1,4,5,2,3,6]
[1,2,2,1,3,1]=>[{1,4,6},{2,3},{5}]=>[1,4,6,2,3,5]
[1,2,2,3,1,1]=>[{1,5,6},{2,3},{4}]=>[1,5,6,2,3,4]
[1,2,3,1,1,2]=>[{1,4,5},{2,6},{3}]=>[1,4,5,2,6,3]
[1,2,3,1,2,1]=>[{1,4,6},{2,5},{3}]=>[1,4,6,2,5,3]
[1,2,3,2,1,1]=>[{1,5,6},{2,4},{3}]=>[1,5,6,2,4,3]
[1,3,1,1,2,2]=>[{1,3,4},{5,6},{2}]=>[1,3,4,5,6,2]
[1,3,1,2,1,2]=>[{1,3,5},{4,6},{2}]=>[1,3,5,4,6,2]
[1,3,1,2,2,1]=>[{1,3,6},{4,5},{2}]=>[1,3,6,4,5,2]
[1,3,2,1,1,2]=>[{1,4,5},{3,6},{2}]=>[1,4,5,3,6,2]
[1,3,2,1,2,1]=>[{1,4,6},{3,5},{2}]=>[1,4,6,3,5,2]
[1,3,2,2,1,1]=>[{1,5,6},{3,4},{2}]=>[1,5,6,3,4,2]
[2,1,1,1,2,3]=>[{2,3,4},{1,5},{6}]=>[2,3,4,1,5,6]
[2,1,1,1,3,2]=>[{2,3,4},{1,6},{5}]=>[2,3,4,1,6,5]
[2,1,1,2,1,3]=>[{2,3,5},{1,4},{6}]=>[2,3,5,1,4,6]
[2,1,1,2,3,1]=>[{2,3,6},{1,4},{5}]=>[2,3,6,1,4,5]
[2,1,1,3,1,2]=>[{2,3,5},{1,6},{4}]=>[2,3,5,1,6,4]
[2,1,1,3,2,1]=>[{2,3,6},{1,5},{4}]=>[2,3,6,1,5,4]
[2,1,2,1,1,3]=>[{2,4,5},{1,3},{6}]=>[2,4,5,1,3,6]
[2,1,2,1,3,1]=>[{2,4,6},{1,3},{5}]=>[2,4,6,1,3,5]
[2,1,2,3,1,1]=>[{2,5,6},{1,3},{4}]=>[2,5,6,1,3,4]
[2,1,3,1,1,2]=>[{2,4,5},{1,6},{3}]=>[2,4,5,1,6,3]
[2,1,3,1,2,1]=>[{2,4,6},{1,5},{3}]=>[2,4,6,1,5,3]
[2,1,3,2,1,1]=>[{2,5,6},{1,4},{3}]=>[2,5,6,1,4,3]
[2,2,1,1,1,3]=>[{3,4,5},{1,2},{6}]=>[3,4,5,1,2,6]
[2,2,1,1,3,1]=>[{3,4,6},{1,2},{5}]=>[3,4,6,1,2,5]
[2,2,1,3,1,1]=>[{3,5,6},{1,2},{4}]=>[3,5,6,1,2,4]
[2,2,3,1,1,1]=>[{4,5,6},{1,2},{3}]=>[4,5,6,1,2,3]
[2,3,1,1,1,2]=>[{3,4,5},{1,6},{2}]=>[3,4,5,1,6,2]
[2,3,1,1,2,1]=>[{3,4,6},{1,5},{2}]=>[3,4,6,1,5,2]
[2,3,1,2,1,1]=>[{3,5,6},{1,4},{2}]=>[3,5,6,1,4,2]
[2,3,2,1,1,1]=>[{4,5,6},{1,3},{2}]=>[4,5,6,1,3,2]
[3,1,1,1,2,2]=>[{2,3,4},{5,6},{1}]=>[2,3,4,5,6,1]
[3,1,1,2,1,2]=>[{2,3,5},{4,6},{1}]=>[2,3,5,4,6,1]
[3,1,1,2,2,1]=>[{2,3,6},{4,5},{1}]=>[2,3,6,4,5,1]
[3,1,2,1,1,2]=>[{2,4,5},{3,6},{1}]=>[2,4,5,3,6,1]
[3,1,2,1,2,1]=>[{2,4,6},{3,5},{1}]=>[2,4,6,3,5,1]
[3,1,2,2,1,1]=>[{2,5,6},{3,4},{1}]=>[2,5,6,3,4,1]
[3,2,1,1,1,2]=>[{3,4,5},{2,6},{1}]=>[3,4,5,2,6,1]
[3,2,1,1,2,1]=>[{3,4,6},{2,5},{1}]=>[3,4,6,2,5,1]
[3,2,1,2,1,1]=>[{3,5,6},{2,4},{1}]=>[3,5,6,2,4,1]
[3,2,2,1,1,1]=>[{4,5,6},{2,3},{1}]=>[4,5,6,2,3,1]
[1,1,1,2,2,4]=>[{1,2,3},{4,5},{6}]=>[1,2,3,4,5,6]
[1,1,1,2,4,2]=>[{1,2,3},{4,6},{5}]=>[1,2,3,4,6,5]
[1,1,1,4,2,2]=>[{1,2,3},{5,6},{4}]=>[1,2,3,5,6,4]
[1,1,2,1,2,4]=>[{1,2,4},{3,5},{6}]=>[1,2,4,3,5,6]
[1,1,2,1,4,2]=>[{1,2,4},{3,6},{5}]=>[1,2,4,3,6,5]
[1,1,2,2,1,4]=>[{1,2,5},{3,4},{6}]=>[1,2,5,3,4,6]
[1,1,2,2,4,1]=>[{1,2,6},{3,4},{5}]=>[1,2,6,3,4,5]
[1,1,2,4,1,2]=>[{1,2,5},{3,6},{4}]=>[1,2,5,3,6,4]
[1,1,2,4,2,1]=>[{1,2,6},{3,5},{4}]=>[1,2,6,3,5,4]
[1,1,4,1,2,2]=>[{1,2,4},{5,6},{3}]=>[1,2,4,5,6,3]
[1,1,4,2,1,2]=>[{1,2,5},{4,6},{3}]=>[1,2,5,4,6,3]
[1,1,4,2,2,1]=>[{1,2,6},{4,5},{3}]=>[1,2,6,4,5,3]
[1,2,1,1,2,4]=>[{1,3,4},{2,5},{6}]=>[1,3,4,2,5,6]
[1,2,1,1,4,2]=>[{1,3,4},{2,6},{5}]=>[1,3,4,2,6,5]
[1,2,1,2,1,4]=>[{1,3,5},{2,4},{6}]=>[1,3,5,2,4,6]
[1,2,1,2,4,1]=>[{1,3,6},{2,4},{5}]=>[1,3,6,2,4,5]
[1,2,1,4,1,2]=>[{1,3,5},{2,6},{4}]=>[1,3,5,2,6,4]
[1,2,1,4,2,1]=>[{1,3,6},{2,5},{4}]=>[1,3,6,2,5,4]
[1,2,2,1,1,4]=>[{1,4,5},{2,3},{6}]=>[1,4,5,2,3,6]
[1,2,2,1,4,1]=>[{1,4,6},{2,3},{5}]=>[1,4,6,2,3,5]
[1,2,2,4,1,1]=>[{1,5,6},{2,3},{4}]=>[1,5,6,2,3,4]
[1,2,4,1,1,2]=>[{1,4,5},{2,6},{3}]=>[1,4,5,2,6,3]
[1,2,4,1,2,1]=>[{1,4,6},{2,5},{3}]=>[1,4,6,2,5,3]
[1,2,4,2,1,1]=>[{1,5,6},{2,4},{3}]=>[1,5,6,2,4,3]
[1,4,1,1,2,2]=>[{1,3,4},{5,6},{2}]=>[1,3,4,5,6,2]
[1,4,1,2,1,2]=>[{1,3,5},{4,6},{2}]=>[1,3,5,4,6,2]
[1,4,1,2,2,1]=>[{1,3,6},{4,5},{2}]=>[1,3,6,4,5,2]
[1,4,2,1,1,2]=>[{1,4,5},{3,6},{2}]=>[1,4,5,3,6,2]
[1,4,2,1,2,1]=>[{1,4,6},{3,5},{2}]=>[1,4,6,3,5,2]
[1,4,2,2,1,1]=>[{1,5,6},{3,4},{2}]=>[1,5,6,3,4,2]
[2,1,1,1,2,4]=>[{2,3,4},{1,5},{6}]=>[2,3,4,1,5,6]
[2,1,1,1,4,2]=>[{2,3,4},{1,6},{5}]=>[2,3,4,1,6,5]
[2,1,1,2,1,4]=>[{2,3,5},{1,4},{6}]=>[2,3,5,1,4,6]
[2,1,1,2,4,1]=>[{2,3,6},{1,4},{5}]=>[2,3,6,1,4,5]
[2,1,1,4,1,2]=>[{2,3,5},{1,6},{4}]=>[2,3,5,1,6,4]
[2,1,1,4,2,1]=>[{2,3,6},{1,5},{4}]=>[2,3,6,1,5,4]
[2,1,2,1,1,4]=>[{2,4,5},{1,3},{6}]=>[2,4,5,1,3,6]
[2,1,2,1,4,1]=>[{2,4,6},{1,3},{5}]=>[2,4,6,1,3,5]
[2,1,2,4,1,1]=>[{2,5,6},{1,3},{4}]=>[2,5,6,1,3,4]
[2,1,4,1,1,2]=>[{2,4,5},{1,6},{3}]=>[2,4,5,1,6,3]
[2,1,4,1,2,1]=>[{2,4,6},{1,5},{3}]=>[2,4,6,1,5,3]
[2,1,4,2,1,1]=>[{2,5,6},{1,4},{3}]=>[2,5,6,1,4,3]
[2,2,1,1,1,4]=>[{3,4,5},{1,2},{6}]=>[3,4,5,1,2,6]
[2,2,1,1,4,1]=>[{3,4,6},{1,2},{5}]=>[3,4,6,1,2,5]
[2,2,1,4,1,1]=>[{3,5,6},{1,2},{4}]=>[3,5,6,1,2,4]
[2,2,4,1,1,1]=>[{4,5,6},{1,2},{3}]=>[4,5,6,1,2,3]
[2,4,1,1,1,2]=>[{3,4,5},{1,6},{2}]=>[3,4,5,1,6,2]
[2,4,1,1,2,1]=>[{3,4,6},{1,5},{2}]=>[3,4,6,1,5,2]
[2,4,1,2,1,1]=>[{3,5,6},{1,4},{2}]=>[3,5,6,1,4,2]
[2,4,2,1,1,1]=>[{4,5,6},{1,3},{2}]=>[4,5,6,1,3,2]
[4,1,1,1,2,2]=>[{2,3,4},{5,6},{1}]=>[2,3,4,5,6,1]
[4,1,1,2,1,2]=>[{2,3,5},{4,6},{1}]=>[2,3,5,4,6,1]
[4,1,1,2,2,1]=>[{2,3,6},{4,5},{1}]=>[2,3,6,4,5,1]
[4,1,2,1,1,2]=>[{2,4,5},{3,6},{1}]=>[2,4,5,3,6,1]
[4,1,2,1,2,1]=>[{2,4,6},{3,5},{1}]=>[2,4,6,3,5,1]
[4,1,2,2,1,1]=>[{2,5,6},{3,4},{1}]=>[2,5,6,3,4,1]
[4,2,1,1,1,2]=>[{3,4,5},{2,6},{1}]=>[3,4,5,2,6,1]
[4,2,1,1,2,1]=>[{3,4,6},{2,5},{1}]=>[3,4,6,2,5,1]
[4,2,1,2,1,1]=>[{3,5,6},{2,4},{1}]=>[3,5,6,2,4,1]
[4,2,2,1,1,1]=>[{4,5,6},{2,3},{1}]=>[4,5,6,2,3,1]
[1,1,1,2,2,5]=>[{1,2,3},{4,5},{6}]=>[1,2,3,4,5,6]
[1,1,1,2,5,2]=>[{1,2,3},{4,6},{5}]=>[1,2,3,4,6,5]
[1,1,1,5,2,2]=>[{1,2,3},{5,6},{4}]=>[1,2,3,5,6,4]
[1,1,2,1,2,5]=>[{1,2,4},{3,5},{6}]=>[1,2,4,3,5,6]
[1,1,2,1,5,2]=>[{1,2,4},{3,6},{5}]=>[1,2,4,3,6,5]
[1,1,2,2,1,5]=>[{1,2,5},{3,4},{6}]=>[1,2,5,3,4,6]
[1,1,2,2,5,1]=>[{1,2,6},{3,4},{5}]=>[1,2,6,3,4,5]
[1,1,2,5,1,2]=>[{1,2,5},{3,6},{4}]=>[1,2,5,3,6,4]
[1,1,2,5,2,1]=>[{1,2,6},{3,5},{4}]=>[1,2,6,3,5,4]
[1,1,5,1,2,2]=>[{1,2,4},{5,6},{3}]=>[1,2,4,5,6,3]
[1,1,5,2,1,2]=>[{1,2,5},{4,6},{3}]=>[1,2,5,4,6,3]
[1,1,5,2,2,1]=>[{1,2,6},{4,5},{3}]=>[1,2,6,4,5,3]
[1,2,1,1,2,5]=>[{1,3,4},{2,5},{6}]=>[1,3,4,2,5,6]
[1,2,1,1,5,2]=>[{1,3,4},{2,6},{5}]=>[1,3,4,2,6,5]
[1,2,1,2,1,5]=>[{1,3,5},{2,4},{6}]=>[1,3,5,2,4,6]
[1,2,1,2,5,1]=>[{1,3,6},{2,4},{5}]=>[1,3,6,2,4,5]
[1,2,1,5,1,2]=>[{1,3,5},{2,6},{4}]=>[1,3,5,2,6,4]
[1,2,1,5,2,1]=>[{1,3,6},{2,5},{4}]=>[1,3,6,2,5,4]
[1,2,2,1,1,5]=>[{1,4,5},{2,3},{6}]=>[1,4,5,2,3,6]
[1,2,2,1,5,1]=>[{1,4,6},{2,3},{5}]=>[1,4,6,2,3,5]
[1,2,2,5,1,1]=>[{1,5,6},{2,3},{4}]=>[1,5,6,2,3,4]
[1,2,5,1,1,2]=>[{1,4,5},{2,6},{3}]=>[1,4,5,2,6,3]
[1,2,5,1,2,1]=>[{1,4,6},{2,5},{3}]=>[1,4,6,2,5,3]
[1,2,5,2,1,1]=>[{1,5,6},{2,4},{3}]=>[1,5,6,2,4,3]
[1,5,1,1,2,2]=>[{1,3,4},{5,6},{2}]=>[1,3,4,5,6,2]
[1,5,1,2,1,2]=>[{1,3,5},{4,6},{2}]=>[1,3,5,4,6,2]
[1,5,1,2,2,1]=>[{1,3,6},{4,5},{2}]=>[1,3,6,4,5,2]
[1,5,2,1,1,2]=>[{1,4,5},{3,6},{2}]=>[1,4,5,3,6,2]
[1,5,2,1,2,1]=>[{1,4,6},{3,5},{2}]=>[1,4,6,3,5,2]
[1,5,2,2,1,1]=>[{1,5,6},{3,4},{2}]=>[1,5,6,3,4,2]
[2,1,1,1,2,5]=>[{2,3,4},{1,5},{6}]=>[2,3,4,1,5,6]
[2,1,1,1,5,2]=>[{2,3,4},{1,6},{5}]=>[2,3,4,1,6,5]
[2,1,1,2,1,5]=>[{2,3,5},{1,4},{6}]=>[2,3,5,1,4,6]
[2,1,1,2,5,1]=>[{2,3,6},{1,4},{5}]=>[2,3,6,1,4,5]
[2,1,1,5,1,2]=>[{2,3,5},{1,6},{4}]=>[2,3,5,1,6,4]
[2,1,1,5,2,1]=>[{2,3,6},{1,5},{4}]=>[2,3,6,1,5,4]
[2,1,2,1,1,5]=>[{2,4,5},{1,3},{6}]=>[2,4,5,1,3,6]
[2,1,2,1,5,1]=>[{2,4,6},{1,3},{5}]=>[2,4,6,1,3,5]
[2,1,2,5,1,1]=>[{2,5,6},{1,3},{4}]=>[2,5,6,1,3,4]
[2,1,5,1,1,2]=>[{2,4,5},{1,6},{3}]=>[2,4,5,1,6,3]
[2,1,5,1,2,1]=>[{2,4,6},{1,5},{3}]=>[2,4,6,1,5,3]
[2,1,5,2,1,1]=>[{2,5,6},{1,4},{3}]=>[2,5,6,1,4,3]
[2,2,1,1,1,5]=>[{3,4,5},{1,2},{6}]=>[3,4,5,1,2,6]
[2,2,1,1,5,1]=>[{3,4,6},{1,2},{5}]=>[3,4,6,1,2,5]
[2,2,1,5,1,1]=>[{3,5,6},{1,2},{4}]=>[3,5,6,1,2,4]
[2,2,5,1,1,1]=>[{4,5,6},{1,2},{3}]=>[4,5,6,1,2,3]
[2,5,1,1,1,2]=>[{3,4,5},{1,6},{2}]=>[3,4,5,1,6,2]
[2,5,1,1,2,1]=>[{3,4,6},{1,5},{2}]=>[3,4,6,1,5,2]
[2,5,1,2,1,1]=>[{3,5,6},{1,4},{2}]=>[3,5,6,1,4,2]
[2,5,2,1,1,1]=>[{4,5,6},{1,3},{2}]=>[4,5,6,1,3,2]
[5,1,1,1,2,2]=>[{2,3,4},{5,6},{1}]=>[2,3,4,5,6,1]
[5,1,1,2,1,2]=>[{2,3,5},{4,6},{1}]=>[2,3,5,4,6,1]
[5,1,1,2,2,1]=>[{2,3,6},{4,5},{1}]=>[2,3,6,4,5,1]
[5,1,2,1,1,2]=>[{2,4,5},{3,6},{1}]=>[2,4,5,3,6,1]
[5,1,2,1,2,1]=>[{2,4,6},{3,5},{1}]=>[2,4,6,3,5,1]
[5,1,2,2,1,1]=>[{2,5,6},{3,4},{1}]=>[2,5,6,3,4,1]
[5,2,1,1,1,2]=>[{3,4,5},{2,6},{1}]=>[3,4,5,2,6,1]
[5,2,1,1,2,1]=>[{3,4,6},{2,5},{1}]=>[3,4,6,2,5,1]
[5,2,1,2,1,1]=>[{3,5,6},{2,4},{1}]=>[3,5,6,2,4,1]
[5,2,2,1,1,1]=>[{4,5,6},{2,3},{1}]=>[4,5,6,2,3,1]
[1,1,1,2,2,6]=>[{1,2,3},{4,5},{6}]=>[1,2,3,4,5,6]
[1,1,1,2,6,2]=>[{1,2,3},{4,6},{5}]=>[1,2,3,4,6,5]
[1,1,1,6,2,2]=>[{1,2,3},{5,6},{4}]=>[1,2,3,5,6,4]
[1,1,2,1,2,6]=>[{1,2,4},{3,5},{6}]=>[1,2,4,3,5,6]
[1,1,2,1,6,2]=>[{1,2,4},{3,6},{5}]=>[1,2,4,3,6,5]
[1,1,2,2,1,6]=>[{1,2,5},{3,4},{6}]=>[1,2,5,3,4,6]
[1,1,2,2,6,1]=>[{1,2,6},{3,4},{5}]=>[1,2,6,3,4,5]
[1,1,2,6,1,2]=>[{1,2,5},{3,6},{4}]=>[1,2,5,3,6,4]
[1,1,2,6,2,1]=>[{1,2,6},{3,5},{4}]=>[1,2,6,3,5,4]
[1,1,6,1,2,2]=>[{1,2,4},{5,6},{3}]=>[1,2,4,5,6,3]
[1,1,6,2,1,2]=>[{1,2,5},{4,6},{3}]=>[1,2,5,4,6,3]
[1,1,6,2,2,1]=>[{1,2,6},{4,5},{3}]=>[1,2,6,4,5,3]
[1,2,1,1,2,6]=>[{1,3,4},{2,5},{6}]=>[1,3,4,2,5,6]
[1,2,1,1,6,2]=>[{1,3,4},{2,6},{5}]=>[1,3,4,2,6,5]
[1,2,1,2,1,6]=>[{1,3,5},{2,4},{6}]=>[1,3,5,2,4,6]
[1,2,1,2,6,1]=>[{1,3,6},{2,4},{5}]=>[1,3,6,2,4,5]
[1,2,1,6,1,2]=>[{1,3,5},{2,6},{4}]=>[1,3,5,2,6,4]
[1,2,1,6,2,1]=>[{1,3,6},{2,5},{4}]=>[1,3,6,2,5,4]
[1,2,2,1,1,6]=>[{1,4,5},{2,3},{6}]=>[1,4,5,2,3,6]
[1,2,2,1,6,1]=>[{1,4,6},{2,3},{5}]=>[1,4,6,2,3,5]
[1,2,2,6,1,1]=>[{1,5,6},{2,3},{4}]=>[1,5,6,2,3,4]
[1,2,6,1,1,2]=>[{1,4,5},{2,6},{3}]=>[1,4,5,2,6,3]
[1,2,6,1,2,1]=>[{1,4,6},{2,5},{3}]=>[1,4,6,2,5,3]
[1,2,6,2,1,1]=>[{1,5,6},{2,4},{3}]=>[1,5,6,2,4,3]
[1,6,1,1,2,2]=>[{1,3,4},{5,6},{2}]=>[1,3,4,5,6,2]
[1,6,1,2,1,2]=>[{1,3,5},{4,6},{2}]=>[1,3,5,4,6,2]
[1,6,1,2,2,1]=>[{1,3,6},{4,5},{2}]=>[1,3,6,4,5,2]
[1,6,2,1,1,2]=>[{1,4,5},{3,6},{2}]=>[1,4,5,3,6,2]
[1,6,2,1,2,1]=>[{1,4,6},{3,5},{2}]=>[1,4,6,3,5,2]
[1,6,2,2,1,1]=>[{1,5,6},{3,4},{2}]=>[1,5,6,3,4,2]
[2,1,1,1,2,6]=>[{2,3,4},{1,5},{6}]=>[2,3,4,1,5,6]
[2,1,1,1,6,2]=>[{2,3,4},{1,6},{5}]=>[2,3,4,1,6,5]
[2,1,1,2,1,6]=>[{2,3,5},{1,4},{6}]=>[2,3,5,1,4,6]
[2,1,1,2,6,1]=>[{2,3,6},{1,4},{5}]=>[2,3,6,1,4,5]
[2,1,1,6,1,2]=>[{2,3,5},{1,6},{4}]=>[2,3,5,1,6,4]
[2,1,1,6,2,1]=>[{2,3,6},{1,5},{4}]=>[2,3,6,1,5,4]
[2,1,2,1,1,6]=>[{2,4,5},{1,3},{6}]=>[2,4,5,1,3,6]
[2,1,2,1,6,1]=>[{2,4,6},{1,3},{5}]=>[2,4,6,1,3,5]
[2,1,2,6,1,1]=>[{2,5,6},{1,3},{4}]=>[2,5,6,1,3,4]
[2,1,6,1,1,2]=>[{2,4,5},{1,6},{3}]=>[2,4,5,1,6,3]
[2,1,6,1,2,1]=>[{2,4,6},{1,5},{3}]=>[2,4,6,1,5,3]
[2,1,6,2,1,1]=>[{2,5,6},{1,4},{3}]=>[2,5,6,1,4,3]
[2,2,1,1,1,6]=>[{3,4,5},{1,2},{6}]=>[3,4,5,1,2,6]
[2,2,1,1,6,1]=>[{3,4,6},{1,2},{5}]=>[3,4,6,1,2,5]
[2,2,1,6,1,1]=>[{3,5,6},{1,2},{4}]=>[3,5,6,1,2,4]
[2,2,6,1,1,1]=>[{4,5,6},{1,2},{3}]=>[4,5,6,1,2,3]
[2,6,1,1,1,2]=>[{3,4,5},{1,6},{2}]=>[3,4,5,1,6,2]
[2,6,1,1,2,1]=>[{3,4,6},{1,5},{2}]=>[3,4,6,1,5,2]
[2,6,1,2,1,1]=>[{3,5,6},{1,4},{2}]=>[3,5,6,1,4,2]
[2,6,2,1,1,1]=>[{4,5,6},{1,3},{2}]=>[4,5,6,1,3,2]
[6,1,1,1,2,2]=>[{2,3,4},{5,6},{1}]=>[2,3,4,5,6,1]
[6,1,1,2,1,2]=>[{2,3,5},{4,6},{1}]=>[2,3,5,4,6,1]
[6,1,1,2,2,1]=>[{2,3,6},{4,5},{1}]=>[2,3,6,4,5,1]
[6,1,2,1,1,2]=>[{2,4,5},{3,6},{1}]=>[2,4,5,3,6,1]
[6,1,2,1,2,1]=>[{2,4,6},{3,5},{1}]=>[2,4,6,3,5,1]
[6,1,2,2,1,1]=>[{2,5,6},{3,4},{1}]=>[2,5,6,3,4,1]
[6,2,1,1,1,2]=>[{3,4,5},{2,6},{1}]=>[3,4,5,2,6,1]
[6,2,1,1,2,1]=>[{3,4,6},{2,5},{1}]=>[3,4,6,2,5,1]
[6,2,1,2,1,1]=>[{3,5,6},{2,4},{1}]=>[3,5,6,2,4,1]
[6,2,2,1,1,1]=>[{4,5,6},{2,3},{1}]=>[4,5,6,2,3,1]
[1,1,1,2,3,3]=>[{1,2,3},{4},{5,6}]=>[1,2,3,4,5,6]
[1,1,1,3,2,3]=>[{1,2,3},{5},{4,6}]=>[1,2,3,5,4,6]
[1,1,1,3,3,2]=>[{1,2,3},{6},{4,5}]=>[1,2,3,6,4,5]
[1,1,2,1,3,3]=>[{1,2,4},{3},{5,6}]=>[1,2,4,3,5,6]
[1,1,2,3,1,3]=>[{1,2,5},{3},{4,6}]=>[1,2,5,3,4,6]
[1,1,2,3,3,1]=>[{1,2,6},{3},{4,5}]=>[1,2,6,3,4,5]
[1,1,3,1,2,3]=>[{1,2,4},{5},{3,6}]=>[1,2,4,5,3,6]
[1,1,3,1,3,2]=>[{1,2,4},{6},{3,5}]=>[1,2,4,6,3,5]
[1,1,3,2,1,3]=>[{1,2,5},{4},{3,6}]=>[1,2,5,4,3,6]
[1,1,3,2,3,1]=>[{1,2,6},{4},{3,5}]=>[1,2,6,4,3,5]
[1,1,3,3,1,2]=>[{1,2,5},{6},{3,4}]=>[1,2,5,6,3,4]
[1,1,3,3,2,1]=>[{1,2,6},{5},{3,4}]=>[1,2,6,5,3,4]
[1,2,1,1,3,3]=>[{1,3,4},{2},{5,6}]=>[1,3,4,2,5,6]
[1,2,1,3,1,3]=>[{1,3,5},{2},{4,6}]=>[1,3,5,2,4,6]
[1,2,1,3,3,1]=>[{1,3,6},{2},{4,5}]=>[1,3,6,2,4,5]
[1,2,3,1,1,3]=>[{1,4,5},{2},{3,6}]=>[1,4,5,2,3,6]
[1,2,3,1,3,1]=>[{1,4,6},{2},{3,5}]=>[1,4,6,2,3,5]
[1,2,3,3,1,1]=>[{1,5,6},{2},{3,4}]=>[1,5,6,2,3,4]
[1,3,1,1,2,3]=>[{1,3,4},{5},{2,6}]=>[1,3,4,5,2,6]
[1,3,1,1,3,2]=>[{1,3,4},{6},{2,5}]=>[1,3,4,6,2,5]
[1,3,1,2,1,3]=>[{1,3,5},{4},{2,6}]=>[1,3,5,4,2,6]
[1,3,1,2,3,1]=>[{1,3,6},{4},{2,5}]=>[1,3,6,4,2,5]
[1,3,1,3,1,2]=>[{1,3,5},{6},{2,4}]=>[1,3,5,6,2,4]
[1,3,1,3,2,1]=>[{1,3,6},{5},{2,4}]=>[1,3,6,5,2,4]
[1,3,2,1,1,3]=>[{1,4,5},{3},{2,6}]=>[1,4,5,3,2,6]
[1,3,2,1,3,1]=>[{1,4,6},{3},{2,5}]=>[1,4,6,3,2,5]
[1,3,2,3,1,1]=>[{1,5,6},{3},{2,4}]=>[1,5,6,3,2,4]
[1,3,3,1,1,2]=>[{1,4,5},{6},{2,3}]=>[1,4,5,6,2,3]
[1,3,3,1,2,1]=>[{1,4,6},{5},{2,3}]=>[1,4,6,5,2,3]
[1,3,3,2,1,1]=>[{1,5,6},{4},{2,3}]=>[1,5,6,4,2,3]
[2,1,1,1,3,3]=>[{2,3,4},{1},{5,6}]=>[2,3,4,1,5,6]
[2,1,1,3,1,3]=>[{2,3,5},{1},{4,6}]=>[2,3,5,1,4,6]
[2,1,1,3,3,1]=>[{2,3,6},{1},{4,5}]=>[2,3,6,1,4,5]
[2,1,3,1,1,3]=>[{2,4,5},{1},{3,6}]=>[2,4,5,1,3,6]
[2,1,3,1,3,1]=>[{2,4,6},{1},{3,5}]=>[2,4,6,1,3,5]
[2,1,3,3,1,1]=>[{2,5,6},{1},{3,4}]=>[2,5,6,1,3,4]
[2,3,1,1,1,3]=>[{3,4,5},{1},{2,6}]=>[3,4,5,1,2,6]
[2,3,1,1,3,1]=>[{3,4,6},{1},{2,5}]=>[3,4,6,1,2,5]
[2,3,1,3,1,1]=>[{3,5,6},{1},{2,4}]=>[3,5,6,1,2,4]
[2,3,3,1,1,1]=>[{4,5,6},{1},{2,3}]=>[4,5,6,1,2,3]
[3,1,1,1,2,3]=>[{2,3,4},{5},{1,6}]=>[2,3,4,5,1,6]
[3,1,1,1,3,2]=>[{2,3,4},{6},{1,5}]=>[2,3,4,6,1,5]
[3,1,1,2,1,3]=>[{2,3,5},{4},{1,6}]=>[2,3,5,4,1,6]
[3,1,1,2,3,1]=>[{2,3,6},{4},{1,5}]=>[2,3,6,4,1,5]
[3,1,1,3,1,2]=>[{2,3,5},{6},{1,4}]=>[2,3,5,6,1,4]
[3,1,1,3,2,1]=>[{2,3,6},{5},{1,4}]=>[2,3,6,5,1,4]
[3,1,2,1,1,3]=>[{2,4,5},{3},{1,6}]=>[2,4,5,3,1,6]
[3,1,2,1,3,1]=>[{2,4,6},{3},{1,5}]=>[2,4,6,3,1,5]
[3,1,2,3,1,1]=>[{2,5,6},{3},{1,4}]=>[2,5,6,3,1,4]
[3,1,3,1,1,2]=>[{2,4,5},{6},{1,3}]=>[2,4,5,6,1,3]
[3,1,3,1,2,1]=>[{2,4,6},{5},{1,3}]=>[2,4,6,5,1,3]
[3,1,3,2,1,1]=>[{2,5,6},{4},{1,3}]=>[2,5,6,4,1,3]
[3,2,1,1,1,3]=>[{3,4,5},{2},{1,6}]=>[3,4,5,2,1,6]
[3,2,1,1,3,1]=>[{3,4,6},{2},{1,5}]=>[3,4,6,2,1,5]
[3,2,1,3,1,1]=>[{3,5,6},{2},{1,4}]=>[3,5,6,2,1,4]
[3,2,3,1,1,1]=>[{4,5,6},{2},{1,3}]=>[4,5,6,2,1,3]
[3,3,1,1,1,2]=>[{3,4,5},{6},{1,2}]=>[3,4,5,6,1,2]
[3,3,1,1,2,1]=>[{3,4,6},{5},{1,2}]=>[3,4,6,5,1,2]
[3,3,1,2,1,1]=>[{3,5,6},{4},{1,2}]=>[3,5,6,4,1,2]
[3,3,2,1,1,1]=>[{4,5,6},{3},{1,2}]=>[4,5,6,3,1,2]
[1,1,1,2,3,4]=>[{1,2,3},{4},{5},{6}]=>[1,2,3,4,5,6]
[1,1,1,2,4,3]=>[{1,2,3},{4},{6},{5}]=>[1,2,3,4,6,5]
[1,1,1,3,2,4]=>[{1,2,3},{5},{4},{6}]=>[1,2,3,5,4,6]
[1,1,1,3,4,2]=>[{1,2,3},{6},{4},{5}]=>[1,2,3,6,4,5]
[1,1,1,4,2,3]=>[{1,2,3},{5},{6},{4}]=>[1,2,3,5,6,4]
[1,1,1,4,3,2]=>[{1,2,3},{6},{5},{4}]=>[1,2,3,6,5,4]
[1,1,2,1,3,4]=>[{1,2,4},{3},{5},{6}]=>[1,2,4,3,5,6]
[1,1,2,1,4,3]=>[{1,2,4},{3},{6},{5}]=>[1,2,4,3,6,5]
[1,1,2,3,1,4]=>[{1,2,5},{3},{4},{6}]=>[1,2,5,3,4,6]
[1,1,2,3,4,1]=>[{1,2,6},{3},{4},{5}]=>[1,2,6,3,4,5]
[1,1,2,4,1,3]=>[{1,2,5},{3},{6},{4}]=>[1,2,5,3,6,4]
[1,1,2,4,3,1]=>[{1,2,6},{3},{5},{4}]=>[1,2,6,3,5,4]
[1,1,3,1,2,4]=>[{1,2,4},{5},{3},{6}]=>[1,2,4,5,3,6]
[1,1,3,1,4,2]=>[{1,2,4},{6},{3},{5}]=>[1,2,4,6,3,5]
[1,1,3,2,1,4]=>[{1,2,5},{4},{3},{6}]=>[1,2,5,4,3,6]
[1,1,3,2,4,1]=>[{1,2,6},{4},{3},{5}]=>[1,2,6,4,3,5]
[1,1,3,4,1,2]=>[{1,2,5},{6},{3},{4}]=>[1,2,5,6,3,4]
[1,1,3,4,2,1]=>[{1,2,6},{5},{3},{4}]=>[1,2,6,5,3,4]
[1,1,4,1,2,3]=>[{1,2,4},{5},{6},{3}]=>[1,2,4,5,6,3]
[1,1,4,1,3,2]=>[{1,2,4},{6},{5},{3}]=>[1,2,4,6,5,3]
[1,1,4,2,1,3]=>[{1,2,5},{4},{6},{3}]=>[1,2,5,4,6,3]
[1,1,4,2,3,1]=>[{1,2,6},{4},{5},{3}]=>[1,2,6,4,5,3]
[1,1,4,3,1,2]=>[{1,2,5},{6},{4},{3}]=>[1,2,5,6,4,3]
[1,1,4,3,2,1]=>[{1,2,6},{5},{4},{3}]=>[1,2,6,5,4,3]
[1,2,1,1,3,4]=>[{1,3,4},{2},{5},{6}]=>[1,3,4,2,5,6]
[1,2,1,1,4,3]=>[{1,3,4},{2},{6},{5}]=>[1,3,4,2,6,5]
[1,2,1,3,1,4]=>[{1,3,5},{2},{4},{6}]=>[1,3,5,2,4,6]
[1,2,1,3,4,1]=>[{1,3,6},{2},{4},{5}]=>[1,3,6,2,4,5]
[1,2,1,4,1,3]=>[{1,3,5},{2},{6},{4}]=>[1,3,5,2,6,4]
[1,2,1,4,3,1]=>[{1,3,6},{2},{5},{4}]=>[1,3,6,2,5,4]
[1,2,3,1,1,4]=>[{1,4,5},{2},{3},{6}]=>[1,4,5,2,3,6]
[1,2,3,1,4,1]=>[{1,4,6},{2},{3},{5}]=>[1,4,6,2,3,5]
[1,2,3,4,1,1]=>[{1,5,6},{2},{3},{4}]=>[1,5,6,2,3,4]
[1,2,4,1,1,3]=>[{1,4,5},{2},{6},{3}]=>[1,4,5,2,6,3]
[1,2,4,1,3,1]=>[{1,4,6},{2},{5},{3}]=>[1,4,6,2,5,3]
[1,2,4,3,1,1]=>[{1,5,6},{2},{4},{3}]=>[1,5,6,2,4,3]
[1,3,1,1,2,4]=>[{1,3,4},{5},{2},{6}]=>[1,3,4,5,2,6]
[1,3,1,1,4,2]=>[{1,3,4},{6},{2},{5}]=>[1,3,4,6,2,5]
[1,3,1,2,1,4]=>[{1,3,5},{4},{2},{6}]=>[1,3,5,4,2,6]
[1,3,1,2,4,1]=>[{1,3,6},{4},{2},{5}]=>[1,3,6,4,2,5]
[1,3,1,4,1,2]=>[{1,3,5},{6},{2},{4}]=>[1,3,5,6,2,4]
[1,3,1,4,2,1]=>[{1,3,6},{5},{2},{4}]=>[1,3,6,5,2,4]
[1,3,2,1,1,4]=>[{1,4,5},{3},{2},{6}]=>[1,4,5,3,2,6]
[1,3,2,1,4,1]=>[{1,4,6},{3},{2},{5}]=>[1,4,6,3,2,5]
[1,3,2,4,1,1]=>[{1,5,6},{3},{2},{4}]=>[1,5,6,3,2,4]
[1,3,4,1,1,2]=>[{1,4,5},{6},{2},{3}]=>[1,4,5,6,2,3]
[1,3,4,1,2,1]=>[{1,4,6},{5},{2},{3}]=>[1,4,6,5,2,3]
[1,3,4,2,1,1]=>[{1,5,6},{4},{2},{3}]=>[1,5,6,4,2,3]
[1,4,1,1,2,3]=>[{1,3,4},{5},{6},{2}]=>[1,3,4,5,6,2]
[1,4,1,1,3,2]=>[{1,3,4},{6},{5},{2}]=>[1,3,4,6,5,2]
[1,4,1,2,1,3]=>[{1,3,5},{4},{6},{2}]=>[1,3,5,4,6,2]
[1,4,1,2,3,1]=>[{1,3,6},{4},{5},{2}]=>[1,3,6,4,5,2]
[1,4,1,3,1,2]=>[{1,3,5},{6},{4},{2}]=>[1,3,5,6,4,2]
[1,4,1,3,2,1]=>[{1,3,6},{5},{4},{2}]=>[1,3,6,5,4,2]
[1,4,2,1,1,3]=>[{1,4,5},{3},{6},{2}]=>[1,4,5,3,6,2]
[1,4,2,1,3,1]=>[{1,4,6},{3},{5},{2}]=>[1,4,6,3,5,2]
[1,4,2,3,1,1]=>[{1,5,6},{3},{4},{2}]=>[1,5,6,3,4,2]
[1,4,3,1,1,2]=>[{1,4,5},{6},{3},{2}]=>[1,4,5,6,3,2]
[1,4,3,1,2,1]=>[{1,4,6},{5},{3},{2}]=>[1,4,6,5,3,2]
[1,4,3,2,1,1]=>[{1,5,6},{4},{3},{2}]=>[1,5,6,4,3,2]
[2,1,1,1,3,4]=>[{2,3,4},{1},{5},{6}]=>[2,3,4,1,5,6]
[2,1,1,1,4,3]=>[{2,3,4},{1},{6},{5}]=>[2,3,4,1,6,5]
[2,1,1,3,1,4]=>[{2,3,5},{1},{4},{6}]=>[2,3,5,1,4,6]
[2,1,1,3,4,1]=>[{2,3,6},{1},{4},{5}]=>[2,3,6,1,4,5]
[2,1,1,4,1,3]=>[{2,3,5},{1},{6},{4}]=>[2,3,5,1,6,4]
[2,1,1,4,3,1]=>[{2,3,6},{1},{5},{4}]=>[2,3,6,1,5,4]
[2,1,3,1,1,4]=>[{2,4,5},{1},{3},{6}]=>[2,4,5,1,3,6]
[2,1,3,1,4,1]=>[{2,4,6},{1},{3},{5}]=>[2,4,6,1,3,5]
[2,1,3,4,1,1]=>[{2,5,6},{1},{3},{4}]=>[2,5,6,1,3,4]
[2,1,4,1,1,3]=>[{2,4,5},{1},{6},{3}]=>[2,4,5,1,6,3]
[2,1,4,1,3,1]=>[{2,4,6},{1},{5},{3}]=>[2,4,6,1,5,3]
[2,1,4,3,1,1]=>[{2,5,6},{1},{4},{3}]=>[2,5,6,1,4,3]
[2,3,1,1,1,4]=>[{3,4,5},{1},{2},{6}]=>[3,4,5,1,2,6]
[2,3,1,1,4,1]=>[{3,4,6},{1},{2},{5}]=>[3,4,6,1,2,5]
[2,3,1,4,1,1]=>[{3,5,6},{1},{2},{4}]=>[3,5,6,1,2,4]
[2,3,4,1,1,1]=>[{4,5,6},{1},{2},{3}]=>[4,5,6,1,2,3]
[2,4,1,1,1,3]=>[{3,4,5},{1},{6},{2}]=>[3,4,5,1,6,2]
[2,4,1,1,3,1]=>[{3,4,6},{1},{5},{2}]=>[3,4,6,1,5,2]
[2,4,1,3,1,1]=>[{3,5,6},{1},{4},{2}]=>[3,5,6,1,4,2]
[2,4,3,1,1,1]=>[{4,5,6},{1},{3},{2}]=>[4,5,6,1,3,2]
[3,1,1,1,2,4]=>[{2,3,4},{5},{1},{6}]=>[2,3,4,5,1,6]
[3,1,1,1,4,2]=>[{2,3,4},{6},{1},{5}]=>[2,3,4,6,1,5]
[3,1,1,2,1,4]=>[{2,3,5},{4},{1},{6}]=>[2,3,5,4,1,6]
[3,1,1,2,4,1]=>[{2,3,6},{4},{1},{5}]=>[2,3,6,4,1,5]
[3,1,1,4,1,2]=>[{2,3,5},{6},{1},{4}]=>[2,3,5,6,1,4]
[3,1,1,4,2,1]=>[{2,3,6},{5},{1},{4}]=>[2,3,6,5,1,4]
[3,1,2,1,1,4]=>[{2,4,5},{3},{1},{6}]=>[2,4,5,3,1,6]
[3,1,2,1,4,1]=>[{2,4,6},{3},{1},{5}]=>[2,4,6,3,1,5]
[3,1,2,4,1,1]=>[{2,5,6},{3},{1},{4}]=>[2,5,6,3,1,4]
[3,1,4,1,1,2]=>[{2,4,5},{6},{1},{3}]=>[2,4,5,6,1,3]
[3,1,4,1,2,1]=>[{2,4,6},{5},{1},{3}]=>[2,4,6,5,1,3]
[3,1,4,2,1,1]=>[{2,5,6},{4},{1},{3}]=>[2,5,6,4,1,3]
[3,2,1,1,1,4]=>[{3,4,5},{2},{1},{6}]=>[3,4,5,2,1,6]
[3,2,1,1,4,1]=>[{3,4,6},{2},{1},{5}]=>[3,4,6,2,1,5]
[3,2,1,4,1,1]=>[{3,5,6},{2},{1},{4}]=>[3,5,6,2,1,4]
[3,2,4,1,1,1]=>[{4,5,6},{2},{1},{3}]=>[4,5,6,2,1,3]
[3,4,1,1,1,2]=>[{3,4,5},{6},{1},{2}]=>[3,4,5,6,1,2]
[3,4,1,1,2,1]=>[{3,4,6},{5},{1},{2}]=>[3,4,6,5,1,2]
[3,4,1,2,1,1]=>[{3,5,6},{4},{1},{2}]=>[3,5,6,4,1,2]
[3,4,2,1,1,1]=>[{4,5,6},{3},{1},{2}]=>[4,5,6,3,1,2]
[4,1,1,1,2,3]=>[{2,3,4},{5},{6},{1}]=>[2,3,4,5,6,1]
[4,1,1,1,3,2]=>[{2,3,4},{6},{5},{1}]=>[2,3,4,6,5,1]
[4,1,1,2,1,3]=>[{2,3,5},{4},{6},{1}]=>[2,3,5,4,6,1]
[4,1,1,2,3,1]=>[{2,3,6},{4},{5},{1}]=>[2,3,6,4,5,1]
[4,1,1,3,1,2]=>[{2,3,5},{6},{4},{1}]=>[2,3,5,6,4,1]
[4,1,1,3,2,1]=>[{2,3,6},{5},{4},{1}]=>[2,3,6,5,4,1]
[4,1,2,1,1,3]=>[{2,4,5},{3},{6},{1}]=>[2,4,5,3,6,1]
[4,1,2,1,3,1]=>[{2,4,6},{3},{5},{1}]=>[2,4,6,3,5,1]
[4,1,2,3,1,1]=>[{2,5,6},{3},{4},{1}]=>[2,5,6,3,4,1]
[4,1,3,1,1,2]=>[{2,4,5},{6},{3},{1}]=>[2,4,5,6,3,1]
[4,1,3,1,2,1]=>[{2,4,6},{5},{3},{1}]=>[2,4,6,5,3,1]
[4,1,3,2,1,1]=>[{2,5,6},{4},{3},{1}]=>[2,5,6,4,3,1]
[4,2,1,1,1,3]=>[{3,4,5},{2},{6},{1}]=>[3,4,5,2,6,1]
[4,2,1,1,3,1]=>[{3,4,6},{2},{5},{1}]=>[3,4,6,2,5,1]
[4,2,1,3,1,1]=>[{3,5,6},{2},{4},{1}]=>[3,5,6,2,4,1]
[4,2,3,1,1,1]=>[{4,5,6},{2},{3},{1}]=>[4,5,6,2,3,1]
[4,3,1,1,1,2]=>[{3,4,5},{6},{2},{1}]=>[3,4,5,6,2,1]
[4,3,1,1,2,1]=>[{3,4,6},{5},{2},{1}]=>[3,4,6,5,2,1]
[4,3,1,2,1,1]=>[{3,5,6},{4},{2},{1}]=>[3,5,6,4,2,1]
[4,3,2,1,1,1]=>[{4,5,6},{3},{2},{1}]=>[4,5,6,3,2,1]
[1,1,1,2,3,5]=>[{1,2,3},{4},{5},{6}]=>[1,2,3,4,5,6]
[1,1,1,2,5,3]=>[{1,2,3},{4},{6},{5}]=>[1,2,3,4,6,5]
[1,1,1,3,2,5]=>[{1,2,3},{5},{4},{6}]=>[1,2,3,5,4,6]
[1,1,1,3,5,2]=>[{1,2,3},{6},{4},{5}]=>[1,2,3,6,4,5]
[1,1,1,5,2,3]=>[{1,2,3},{5},{6},{4}]=>[1,2,3,5,6,4]
[1,1,1,5,3,2]=>[{1,2,3},{6},{5},{4}]=>[1,2,3,6,5,4]
[1,1,2,1,3,5]=>[{1,2,4},{3},{5},{6}]=>[1,2,4,3,5,6]
[1,1,2,1,5,3]=>[{1,2,4},{3},{6},{5}]=>[1,2,4,3,6,5]
[1,1,2,3,1,5]=>[{1,2,5},{3},{4},{6}]=>[1,2,5,3,4,6]
[1,1,2,3,5,1]=>[{1,2,6},{3},{4},{5}]=>[1,2,6,3,4,5]
[1,1,2,5,1,3]=>[{1,2,5},{3},{6},{4}]=>[1,2,5,3,6,4]
[1,1,2,5,3,1]=>[{1,2,6},{3},{5},{4}]=>[1,2,6,3,5,4]
[1,1,3,1,2,5]=>[{1,2,4},{5},{3},{6}]=>[1,2,4,5,3,6]
[1,1,3,1,5,2]=>[{1,2,4},{6},{3},{5}]=>[1,2,4,6,3,5]
[1,1,3,2,1,5]=>[{1,2,5},{4},{3},{6}]=>[1,2,5,4,3,6]
[1,1,3,2,5,1]=>[{1,2,6},{4},{3},{5}]=>[1,2,6,4,3,5]
[1,1,3,5,1,2]=>[{1,2,5},{6},{3},{4}]=>[1,2,5,6,3,4]
[1,1,3,5,2,1]=>[{1,2,6},{5},{3},{4}]=>[1,2,6,5,3,4]
[1,1,5,1,2,3]=>[{1,2,4},{5},{6},{3}]=>[1,2,4,5,6,3]
[1,1,5,1,3,2]=>[{1,2,4},{6},{5},{3}]=>[1,2,4,6,5,3]
[1,1,5,2,1,3]=>[{1,2,5},{4},{6},{3}]=>[1,2,5,4,6,3]
[1,1,5,2,3,1]=>[{1,2,6},{4},{5},{3}]=>[1,2,6,4,5,3]
[1,1,5,3,1,2]=>[{1,2,5},{6},{4},{3}]=>[1,2,5,6,4,3]
[1,1,5,3,2,1]=>[{1,2,6},{5},{4},{3}]=>[1,2,6,5,4,3]
[1,2,1,1,3,5]=>[{1,3,4},{2},{5},{6}]=>[1,3,4,2,5,6]
[1,2,1,1,5,3]=>[{1,3,4},{2},{6},{5}]=>[1,3,4,2,6,5]
[1,2,1,3,1,5]=>[{1,3,5},{2},{4},{6}]=>[1,3,5,2,4,6]
[1,2,1,3,5,1]=>[{1,3,6},{2},{4},{5}]=>[1,3,6,2,4,5]
[1,2,1,5,1,3]=>[{1,3,5},{2},{6},{4}]=>[1,3,5,2,6,4]
[1,2,1,5,3,1]=>[{1,3,6},{2},{5},{4}]=>[1,3,6,2,5,4]
[1,2,3,1,1,5]=>[{1,4,5},{2},{3},{6}]=>[1,4,5,2,3,6]
[1,2,3,1,5,1]=>[{1,4,6},{2},{3},{5}]=>[1,4,6,2,3,5]
[1,2,3,5,1,1]=>[{1,5,6},{2},{3},{4}]=>[1,5,6,2,3,4]
[1,2,5,1,1,3]=>[{1,4,5},{2},{6},{3}]=>[1,4,5,2,6,3]
[1,2,5,1,3,1]=>[{1,4,6},{2},{5},{3}]=>[1,4,6,2,5,3]
[1,2,5,3,1,1]=>[{1,5,6},{2},{4},{3}]=>[1,5,6,2,4,3]
[1,3,1,1,2,5]=>[{1,3,4},{5},{2},{6}]=>[1,3,4,5,2,6]
[1,3,1,1,5,2]=>[{1,3,4},{6},{2},{5}]=>[1,3,4,6,2,5]
[1,3,1,2,1,5]=>[{1,3,5},{4},{2},{6}]=>[1,3,5,4,2,6]
[1,3,1,2,5,1]=>[{1,3,6},{4},{2},{5}]=>[1,3,6,4,2,5]
[1,3,1,5,1,2]=>[{1,3,5},{6},{2},{4}]=>[1,3,5,6,2,4]
[1,3,1,5,2,1]=>[{1,3,6},{5},{2},{4}]=>[1,3,6,5,2,4]
[1,3,2,1,1,5]=>[{1,4,5},{3},{2},{6}]=>[1,4,5,3,2,6]
[1,3,2,1,5,1]=>[{1,4,6},{3},{2},{5}]=>[1,4,6,3,2,5]
[1,3,2,5,1,1]=>[{1,5,6},{3},{2},{4}]=>[1,5,6,3,2,4]
[1,3,5,1,1,2]=>[{1,4,5},{6},{2},{3}]=>[1,4,5,6,2,3]
[1,3,5,1,2,1]=>[{1,4,6},{5},{2},{3}]=>[1,4,6,5,2,3]
[1,3,5,2,1,1]=>[{1,5,6},{4},{2},{3}]=>[1,5,6,4,2,3]
[1,5,1,1,2,3]=>[{1,3,4},{5},{6},{2}]=>[1,3,4,5,6,2]
[1,5,1,1,3,2]=>[{1,3,4},{6},{5},{2}]=>[1,3,4,6,5,2]
[1,5,1,2,1,3]=>[{1,3,5},{4},{6},{2}]=>[1,3,5,4,6,2]
[1,5,1,2,3,1]=>[{1,3,6},{4},{5},{2}]=>[1,3,6,4,5,2]
[1,5,1,3,1,2]=>[{1,3,5},{6},{4},{2}]=>[1,3,5,6,4,2]
[1,5,1,3,2,1]=>[{1,3,6},{5},{4},{2}]=>[1,3,6,5,4,2]
[1,5,2,1,1,3]=>[{1,4,5},{3},{6},{2}]=>[1,4,5,3,6,2]
[1,5,2,1,3,1]=>[{1,4,6},{3},{5},{2}]=>[1,4,6,3,5,2]
[1,5,2,3,1,1]=>[{1,5,6},{3},{4},{2}]=>[1,5,6,3,4,2]
[1,5,3,1,1,2]=>[{1,4,5},{6},{3},{2}]=>[1,4,5,6,3,2]
[1,5,3,1,2,1]=>[{1,4,6},{5},{3},{2}]=>[1,4,6,5,3,2]
[1,5,3,2,1,1]=>[{1,5,6},{4},{3},{2}]=>[1,5,6,4,3,2]
[2,1,1,1,3,5]=>[{2,3,4},{1},{5},{6}]=>[2,3,4,1,5,6]
[2,1,1,1,5,3]=>[{2,3,4},{1},{6},{5}]=>[2,3,4,1,6,5]
[2,1,1,3,1,5]=>[{2,3,5},{1},{4},{6}]=>[2,3,5,1,4,6]
[2,1,1,3,5,1]=>[{2,3,6},{1},{4},{5}]=>[2,3,6,1,4,5]
[2,1,1,5,1,3]=>[{2,3,5},{1},{6},{4}]=>[2,3,5,1,6,4]
[2,1,1,5,3,1]=>[{2,3,6},{1},{5},{4}]=>[2,3,6,1,5,4]
[2,1,3,1,1,5]=>[{2,4,5},{1},{3},{6}]=>[2,4,5,1,3,6]
[2,1,3,1,5,1]=>[{2,4,6},{1},{3},{5}]=>[2,4,6,1,3,5]
[2,1,3,5,1,1]=>[{2,5,6},{1},{3},{4}]=>[2,5,6,1,3,4]
[2,1,5,1,1,3]=>[{2,4,5},{1},{6},{3}]=>[2,4,5,1,6,3]
[2,1,5,1,3,1]=>[{2,4,6},{1},{5},{3}]=>[2,4,6,1,5,3]
[2,1,5,3,1,1]=>[{2,5,6},{1},{4},{3}]=>[2,5,6,1,4,3]
[2,3,1,1,1,5]=>[{3,4,5},{1},{2},{6}]=>[3,4,5,1,2,6]
[2,3,1,1,5,1]=>[{3,4,6},{1},{2},{5}]=>[3,4,6,1,2,5]
[2,3,1,5,1,1]=>[{3,5,6},{1},{2},{4}]=>[3,5,6,1,2,4]
[2,3,5,1,1,1]=>[{4,5,6},{1},{2},{3}]=>[4,5,6,1,2,3]
[2,5,1,1,1,3]=>[{3,4,5},{1},{6},{2}]=>[3,4,5,1,6,2]
[2,5,1,1,3,1]=>[{3,4,6},{1},{5},{2}]=>[3,4,6,1,5,2]
[2,5,1,3,1,1]=>[{3,5,6},{1},{4},{2}]=>[3,5,6,1,4,2]
[2,5,3,1,1,1]=>[{4,5,6},{1},{3},{2}]=>[4,5,6,1,3,2]
[3,1,1,1,2,5]=>[{2,3,4},{5},{1},{6}]=>[2,3,4,5,1,6]
[3,1,1,1,5,2]=>[{2,3,4},{6},{1},{5}]=>[2,3,4,6,1,5]
[3,1,1,2,1,5]=>[{2,3,5},{4},{1},{6}]=>[2,3,5,4,1,6]
[3,1,1,2,5,1]=>[{2,3,6},{4},{1},{5}]=>[2,3,6,4,1,5]
[3,1,1,5,1,2]=>[{2,3,5},{6},{1},{4}]=>[2,3,5,6,1,4]
[3,1,1,5,2,1]=>[{2,3,6},{5},{1},{4}]=>[2,3,6,5,1,4]
[3,1,2,1,1,5]=>[{2,4,5},{3},{1},{6}]=>[2,4,5,3,1,6]
[3,1,2,1,5,1]=>[{2,4,6},{3},{1},{5}]=>[2,4,6,3,1,5]
[3,1,2,5,1,1]=>[{2,5,6},{3},{1},{4}]=>[2,5,6,3,1,4]
[3,1,5,1,1,2]=>[{2,4,5},{6},{1},{3}]=>[2,4,5,6,1,3]
[3,1,5,1,2,1]=>[{2,4,6},{5},{1},{3}]=>[2,4,6,5,1,3]
[3,1,5,2,1,1]=>[{2,5,6},{4},{1},{3}]=>[2,5,6,4,1,3]
[3,2,1,1,1,5]=>[{3,4,5},{2},{1},{6}]=>[3,4,5,2,1,6]
[3,2,1,1,5,1]=>[{3,4,6},{2},{1},{5}]=>[3,4,6,2,1,5]
[3,2,1,5,1,1]=>[{3,5,6},{2},{1},{4}]=>[3,5,6,2,1,4]
[3,2,5,1,1,1]=>[{4,5,6},{2},{1},{3}]=>[4,5,6,2,1,3]
[3,5,1,1,1,2]=>[{3,4,5},{6},{1},{2}]=>[3,4,5,6,1,2]
[3,5,1,1,2,1]=>[{3,4,6},{5},{1},{2}]=>[3,4,6,5,1,2]
[3,5,1,2,1,1]=>[{3,5,6},{4},{1},{2}]=>[3,5,6,4,1,2]
[3,5,2,1,1,1]=>[{4,5,6},{3},{1},{2}]=>[4,5,6,3,1,2]
[5,1,1,1,2,3]=>[{2,3,4},{5},{6},{1}]=>[2,3,4,5,6,1]
[5,1,1,1,3,2]=>[{2,3,4},{6},{5},{1}]=>[2,3,4,6,5,1]
[5,1,1,2,1,3]=>[{2,3,5},{4},{6},{1}]=>[2,3,5,4,6,1]
[5,1,1,2,3,1]=>[{2,3,6},{4},{5},{1}]=>[2,3,6,4,5,1]
[5,1,1,3,1,2]=>[{2,3,5},{6},{4},{1}]=>[2,3,5,6,4,1]
[5,1,1,3,2,1]=>[{2,3,6},{5},{4},{1}]=>[2,3,6,5,4,1]
[5,1,2,1,1,3]=>[{2,4,5},{3},{6},{1}]=>[2,4,5,3,6,1]
[5,1,2,1,3,1]=>[{2,4,6},{3},{5},{1}]=>[2,4,6,3,5,1]
[5,1,2,3,1,1]=>[{2,5,6},{3},{4},{1}]=>[2,5,6,3,4,1]
[5,1,3,1,1,2]=>[{2,4,5},{6},{3},{1}]=>[2,4,5,6,3,1]
[5,1,3,1,2,1]=>[{2,4,6},{5},{3},{1}]=>[2,4,6,5,3,1]
[5,1,3,2,1,1]=>[{2,5,6},{4},{3},{1}]=>[2,5,6,4,3,1]
[5,2,1,1,1,3]=>[{3,4,5},{2},{6},{1}]=>[3,4,5,2,6,1]
[5,2,1,1,3,1]=>[{3,4,6},{2},{5},{1}]=>[3,4,6,2,5,1]
[5,2,1,3,1,1]=>[{3,5,6},{2},{4},{1}]=>[3,5,6,2,4,1]
[5,2,3,1,1,1]=>[{4,5,6},{2},{3},{1}]=>[4,5,6,2,3,1]
[5,3,1,1,1,2]=>[{3,4,5},{6},{2},{1}]=>[3,4,5,6,2,1]
[5,3,1,1,2,1]=>[{3,4,6},{5},{2},{1}]=>[3,4,6,5,2,1]
[5,3,1,2,1,1]=>[{3,5,6},{4},{2},{1}]=>[3,5,6,4,2,1]
[5,3,2,1,1,1]=>[{4,5,6},{3},{2},{1}]=>[4,5,6,3,2,1]
[1,1,1,2,3,6]=>[{1,2,3},{4},{5},{6}]=>[1,2,3,4,5,6]
[1,1,1,2,6,3]=>[{1,2,3},{4},{6},{5}]=>[1,2,3,4,6,5]
[1,1,1,3,2,6]=>[{1,2,3},{5},{4},{6}]=>[1,2,3,5,4,6]
[1,1,1,3,6,2]=>[{1,2,3},{6},{4},{5}]=>[1,2,3,6,4,5]
[1,1,1,6,2,3]=>[{1,2,3},{5},{6},{4}]=>[1,2,3,5,6,4]
[1,1,1,6,3,2]=>[{1,2,3},{6},{5},{4}]=>[1,2,3,6,5,4]
[1,1,2,1,3,6]=>[{1,2,4},{3},{5},{6}]=>[1,2,4,3,5,6]
[1,1,2,1,6,3]=>[{1,2,4},{3},{6},{5}]=>[1,2,4,3,6,5]
[1,1,2,3,1,6]=>[{1,2,5},{3},{4},{6}]=>[1,2,5,3,4,6]
[1,1,2,3,6,1]=>[{1,2,6},{3},{4},{5}]=>[1,2,6,3,4,5]
[1,1,2,6,1,3]=>[{1,2,5},{3},{6},{4}]=>[1,2,5,3,6,4]
[1,1,2,6,3,1]=>[{1,2,6},{3},{5},{4}]=>[1,2,6,3,5,4]
[1,1,3,1,2,6]=>[{1,2,4},{5},{3},{6}]=>[1,2,4,5,3,6]
[1,1,3,1,6,2]=>[{1,2,4},{6},{3},{5}]=>[1,2,4,6,3,5]
[1,1,3,2,1,6]=>[{1,2,5},{4},{3},{6}]=>[1,2,5,4,3,6]
[1,1,3,2,6,1]=>[{1,2,6},{4},{3},{5}]=>[1,2,6,4,3,5]
[1,1,3,6,1,2]=>[{1,2,5},{6},{3},{4}]=>[1,2,5,6,3,4]
[1,1,3,6,2,1]=>[{1,2,6},{5},{3},{4}]=>[1,2,6,5,3,4]
[1,1,6,1,2,3]=>[{1,2,4},{5},{6},{3}]=>[1,2,4,5,6,3]
[1,1,6,1,3,2]=>[{1,2,4},{6},{5},{3}]=>[1,2,4,6,5,3]
[1,1,6,2,1,3]=>[{1,2,5},{4},{6},{3}]=>[1,2,5,4,6,3]
[1,1,6,2,3,1]=>[{1,2,6},{4},{5},{3}]=>[1,2,6,4,5,3]
[1,1,6,3,1,2]=>[{1,2,5},{6},{4},{3}]=>[1,2,5,6,4,3]
[1,1,6,3,2,1]=>[{1,2,6},{5},{4},{3}]=>[1,2,6,5,4,3]
[1,2,1,1,3,6]=>[{1,3,4},{2},{5},{6}]=>[1,3,4,2,5,6]
[1,2,1,1,6,3]=>[{1,3,4},{2},{6},{5}]=>[1,3,4,2,6,5]
[1,2,1,3,1,6]=>[{1,3,5},{2},{4},{6}]=>[1,3,5,2,4,6]
[1,2,1,3,6,1]=>[{1,3,6},{2},{4},{5}]=>[1,3,6,2,4,5]
[1,2,1,6,1,3]=>[{1,3,5},{2},{6},{4}]=>[1,3,5,2,6,4]
[1,2,1,6,3,1]=>[{1,3,6},{2},{5},{4}]=>[1,3,6,2,5,4]
[1,2,3,1,1,6]=>[{1,4,5},{2},{3},{6}]=>[1,4,5,2,3,6]
[1,2,3,1,6,1]=>[{1,4,6},{2},{3},{5}]=>[1,4,6,2,3,5]
[1,2,3,6,1,1]=>[{1,5,6},{2},{3},{4}]=>[1,5,6,2,3,4]
[1,2,6,1,1,3]=>[{1,4,5},{2},{6},{3}]=>[1,4,5,2,6,3]
[1,2,6,1,3,1]=>[{1,4,6},{2},{5},{3}]=>[1,4,6,2,5,3]
[1,2,6,3,1,1]=>[{1,5,6},{2},{4},{3}]=>[1,5,6,2,4,3]
[1,3,1,1,2,6]=>[{1,3,4},{5},{2},{6}]=>[1,3,4,5,2,6]
[1,3,1,1,6,2]=>[{1,3,4},{6},{2},{5}]=>[1,3,4,6,2,5]
[1,3,1,2,1,6]=>[{1,3,5},{4},{2},{6}]=>[1,3,5,4,2,6]
[1,3,1,2,6,1]=>[{1,3,6},{4},{2},{5}]=>[1,3,6,4,2,5]
[1,3,1,6,1,2]=>[{1,3,5},{6},{2},{4}]=>[1,3,5,6,2,4]
[1,3,1,6,2,1]=>[{1,3,6},{5},{2},{4}]=>[1,3,6,5,2,4]
[1,3,2,1,1,6]=>[{1,4,5},{3},{2},{6}]=>[1,4,5,3,2,6]
[1,3,2,1,6,1]=>[{1,4,6},{3},{2},{5}]=>[1,4,6,3,2,5]
[1,3,2,6,1,1]=>[{1,5,6},{3},{2},{4}]=>[1,5,6,3,2,4]
[1,3,6,1,1,2]=>[{1,4,5},{6},{2},{3}]=>[1,4,5,6,2,3]
[1,3,6,1,2,1]=>[{1,4,6},{5},{2},{3}]=>[1,4,6,5,2,3]
[1,3,6,2,1,1]=>[{1,5,6},{4},{2},{3}]=>[1,5,6,4,2,3]
[1,6,1,1,2,3]=>[{1,3,4},{5},{6},{2}]=>[1,3,4,5,6,2]
[1,6,1,1,3,2]=>[{1,3,4},{6},{5},{2}]=>[1,3,4,6,5,2]
[1,6,1,2,1,3]=>[{1,3,5},{4},{6},{2}]=>[1,3,5,4,6,2]
[1,6,1,2,3,1]=>[{1,3,6},{4},{5},{2}]=>[1,3,6,4,5,2]
[1,6,1,3,1,2]=>[{1,3,5},{6},{4},{2}]=>[1,3,5,6,4,2]
[1,6,1,3,2,1]=>[{1,3,6},{5},{4},{2}]=>[1,3,6,5,4,2]
[1,6,2,1,1,3]=>[{1,4,5},{3},{6},{2}]=>[1,4,5,3,6,2]
[1,6,2,1,3,1]=>[{1,4,6},{3},{5},{2}]=>[1,4,6,3,5,2]
[1,6,2,3,1,1]=>[{1,5,6},{3},{4},{2}]=>[1,5,6,3,4,2]
[1,6,3,1,1,2]=>[{1,4,5},{6},{3},{2}]=>[1,4,5,6,3,2]
[1,6,3,1,2,1]=>[{1,4,6},{5},{3},{2}]=>[1,4,6,5,3,2]
[1,6,3,2,1,1]=>[{1,5,6},{4},{3},{2}]=>[1,5,6,4,3,2]
[2,1,1,1,3,6]=>[{2,3,4},{1},{5},{6}]=>[2,3,4,1,5,6]
[2,1,1,1,6,3]=>[{2,3,4},{1},{6},{5}]=>[2,3,4,1,6,5]
[2,1,1,3,1,6]=>[{2,3,5},{1},{4},{6}]=>[2,3,5,1,4,6]
[2,1,1,3,6,1]=>[{2,3,6},{1},{4},{5}]=>[2,3,6,1,4,5]
[2,1,1,6,1,3]=>[{2,3,5},{1},{6},{4}]=>[2,3,5,1,6,4]
[2,1,1,6,3,1]=>[{2,3,6},{1},{5},{4}]=>[2,3,6,1,5,4]
[2,1,3,1,1,6]=>[{2,4,5},{1},{3},{6}]=>[2,4,5,1,3,6]
[2,1,3,1,6,1]=>[{2,4,6},{1},{3},{5}]=>[2,4,6,1,3,5]
[2,1,3,6,1,1]=>[{2,5,6},{1},{3},{4}]=>[2,5,6,1,3,4]
[2,1,6,1,1,3]=>[{2,4,5},{1},{6},{3}]=>[2,4,5,1,6,3]
[2,1,6,1,3,1]=>[{2,4,6},{1},{5},{3}]=>[2,4,6,1,5,3]
[2,1,6,3,1,1]=>[{2,5,6},{1},{4},{3}]=>[2,5,6,1,4,3]
[2,3,1,1,1,6]=>[{3,4,5},{1},{2},{6}]=>[3,4,5,1,2,6]
[2,3,1,1,6,1]=>[{3,4,6},{1},{2},{5}]=>[3,4,6,1,2,5]
[2,3,1,6,1,1]=>[{3,5,6},{1},{2},{4}]=>[3,5,6,1,2,4]
[2,3,6,1,1,1]=>[{4,5,6},{1},{2},{3}]=>[4,5,6,1,2,3]
[2,6,1,1,1,3]=>[{3,4,5},{1},{6},{2}]=>[3,4,5,1,6,2]
[2,6,1,1,3,1]=>[{3,4,6},{1},{5},{2}]=>[3,4,6,1,5,2]
[2,6,1,3,1,1]=>[{3,5,6},{1},{4},{2}]=>[3,5,6,1,4,2]
[2,6,3,1,1,1]=>[{4,5,6},{1},{3},{2}]=>[4,5,6,1,3,2]
[3,1,1,1,2,6]=>[{2,3,4},{5},{1},{6}]=>[2,3,4,5,1,6]
[3,1,1,1,6,2]=>[{2,3,4},{6},{1},{5}]=>[2,3,4,6,1,5]
[3,1,1,2,1,6]=>[{2,3,5},{4},{1},{6}]=>[2,3,5,4,1,6]
[3,1,1,2,6,1]=>[{2,3,6},{4},{1},{5}]=>[2,3,6,4,1,5]
[3,1,1,6,1,2]=>[{2,3,5},{6},{1},{4}]=>[2,3,5,6,1,4]
[3,1,1,6,2,1]=>[{2,3,6},{5},{1},{4}]=>[2,3,6,5,1,4]
[3,1,2,1,1,6]=>[{2,4,5},{3},{1},{6}]=>[2,4,5,3,1,6]
[3,1,2,1,6,1]=>[{2,4,6},{3},{1},{5}]=>[2,4,6,3,1,5]
[3,1,2,6,1,1]=>[{2,5,6},{3},{1},{4}]=>[2,5,6,3,1,4]
[3,1,6,1,1,2]=>[{2,4,5},{6},{1},{3}]=>[2,4,5,6,1,3]
[3,1,6,1,2,1]=>[{2,4,6},{5},{1},{3}]=>[2,4,6,5,1,3]
[3,1,6,2,1,1]=>[{2,5,6},{4},{1},{3}]=>[2,5,6,4,1,3]
[3,2,1,1,1,6]=>[{3,4,5},{2},{1},{6}]=>[3,4,5,2,1,6]
[3,2,1,1,6,1]=>[{3,4,6},{2},{1},{5}]=>[3,4,6,2,1,5]
[3,2,1,6,1,1]=>[{3,5,6},{2},{1},{4}]=>[3,5,6,2,1,4]
[3,2,6,1,1,1]=>[{4,5,6},{2},{1},{3}]=>[4,5,6,2,1,3]
[3,6,1,1,1,2]=>[{3,4,5},{6},{1},{2}]=>[3,4,5,6,1,2]
[3,6,1,1,2,1]=>[{3,4,6},{5},{1},{2}]=>[3,4,6,5,1,2]
[3,6,1,2,1,1]=>[{3,5,6},{4},{1},{2}]=>[3,5,6,4,1,2]
[3,6,2,1,1,1]=>[{4,5,6},{3},{1},{2}]=>[4,5,6,3,1,2]
[6,1,1,1,2,3]=>[{2,3,4},{5},{6},{1}]=>[2,3,4,5,6,1]
[6,1,1,1,3,2]=>[{2,3,4},{6},{5},{1}]=>[2,3,4,6,5,1]
[6,1,1,2,1,3]=>[{2,3,5},{4},{6},{1}]=>[2,3,5,4,6,1]
[6,1,1,2,3,1]=>[{2,3,6},{4},{5},{1}]=>[2,3,6,4,5,1]
[6,1,1,3,1,2]=>[{2,3,5},{6},{4},{1}]=>[2,3,5,6,4,1]
[6,1,1,3,2,1]=>[{2,3,6},{5},{4},{1}]=>[2,3,6,5,4,1]
[6,1,2,1,1,3]=>[{2,4,5},{3},{6},{1}]=>[2,4,5,3,6,1]
[6,1,2,1,3,1]=>[{2,4,6},{3},{5},{1}]=>[2,4,6,3,5,1]
[6,1,2,3,1,1]=>[{2,5,6},{3},{4},{1}]=>[2,5,6,3,4,1]
[6,1,3,1,1,2]=>[{2,4,5},{6},{3},{1}]=>[2,4,5,6,3,1]
[6,1,3,1,2,1]=>[{2,4,6},{5},{3},{1}]=>[2,4,6,5,3,1]
[6,1,3,2,1,1]=>[{2,5,6},{4},{3},{1}]=>[2,5,6,4,3,1]
[6,2,1,1,1,3]=>[{3,4,5},{2},{6},{1}]=>[3,4,5,2,6,1]
[6,2,1,1,3,1]=>[{3,4,6},{2},{5},{1}]=>[3,4,6,2,5,1]
[6,2,1,3,1,1]=>[{3,5,6},{2},{4},{1}]=>[3,5,6,2,4,1]
[6,2,3,1,1,1]=>[{4,5,6},{2},{3},{1}]=>[4,5,6,2,3,1]
[6,3,1,1,1,2]=>[{3,4,5},{6},{2},{1}]=>[3,4,5,6,2,1]
[6,3,1,1,2,1]=>[{3,4,6},{5},{2},{1}]=>[3,4,6,5,2,1]
[6,3,1,2,1,1]=>[{3,5,6},{4},{2},{1}]=>[3,5,6,4,2,1]
[6,3,2,1,1,1]=>[{4,5,6},{3},{2},{1}]=>[4,5,6,3,2,1]
[1,1,1,2,4,4]=>[{1,2,3},{4},{5,6}]=>[1,2,3,4,5,6]
[1,1,1,4,2,4]=>[{1,2,3},{5},{4,6}]=>[1,2,3,5,4,6]
[1,1,1,4,4,2]=>[{1,2,3},{6},{4,5}]=>[1,2,3,6,4,5]
[1,1,2,1,4,4]=>[{1,2,4},{3},{5,6}]=>[1,2,4,3,5,6]
[1,1,2,4,1,4]=>[{1,2,5},{3},{4,6}]=>[1,2,5,3,4,6]
[1,1,2,4,4,1]=>[{1,2,6},{3},{4,5}]=>[1,2,6,3,4,5]
[1,1,4,1,2,4]=>[{1,2,4},{5},{3,6}]=>[1,2,4,5,3,6]
[1,1,4,1,4,2]=>[{1,2,4},{6},{3,5}]=>[1,2,4,6,3,5]
[1,1,4,2,1,4]=>[{1,2,5},{4},{3,6}]=>[1,2,5,4,3,6]
[1,1,4,2,4,1]=>[{1,2,6},{4},{3,5}]=>[1,2,6,4,3,5]
[1,1,4,4,1,2]=>[{1,2,5},{6},{3,4}]=>[1,2,5,6,3,4]
[1,1,4,4,2,1]=>[{1,2,6},{5},{3,4}]=>[1,2,6,5,3,4]
[1,2,1,1,4,4]=>[{1,3,4},{2},{5,6}]=>[1,3,4,2,5,6]
[1,2,1,4,1,4]=>[{1,3,5},{2},{4,6}]=>[1,3,5,2,4,6]
[1,2,1,4,4,1]=>[{1,3,6},{2},{4,5}]=>[1,3,6,2,4,5]
[1,2,4,1,1,4]=>[{1,4,5},{2},{3,6}]=>[1,4,5,2,3,6]
[1,2,4,1,4,1]=>[{1,4,6},{2},{3,5}]=>[1,4,6,2,3,5]
[1,2,4,4,1,1]=>[{1,5,6},{2},{3,4}]=>[1,5,6,2,3,4]
[1,4,1,1,2,4]=>[{1,3,4},{5},{2,6}]=>[1,3,4,5,2,6]
[1,4,1,1,4,2]=>[{1,3,4},{6},{2,5}]=>[1,3,4,6,2,5]
[1,4,1,2,1,4]=>[{1,3,5},{4},{2,6}]=>[1,3,5,4,2,6]
[1,4,1,2,4,1]=>[{1,3,6},{4},{2,5}]=>[1,3,6,4,2,5]
[1,4,1,4,1,2]=>[{1,3,5},{6},{2,4}]=>[1,3,5,6,2,4]
[1,4,1,4,2,1]=>[{1,3,6},{5},{2,4}]=>[1,3,6,5,2,4]
[1,4,2,1,1,4]=>[{1,4,5},{3},{2,6}]=>[1,4,5,3,2,6]
[1,4,2,1,4,1]=>[{1,4,6},{3},{2,5}]=>[1,4,6,3,2,5]
[1,4,2,4,1,1]=>[{1,5,6},{3},{2,4}]=>[1,5,6,3,2,4]
[1,4,4,1,1,2]=>[{1,4,5},{6},{2,3}]=>[1,4,5,6,2,3]
[1,4,4,1,2,1]=>[{1,4,6},{5},{2,3}]=>[1,4,6,5,2,3]
[1,4,4,2,1,1]=>[{1,5,6},{4},{2,3}]=>[1,5,6,4,2,3]
[2,1,1,1,4,4]=>[{2,3,4},{1},{5,6}]=>[2,3,4,1,5,6]
[2,1,1,4,1,4]=>[{2,3,5},{1},{4,6}]=>[2,3,5,1,4,6]
[2,1,1,4,4,1]=>[{2,3,6},{1},{4,5}]=>[2,3,6,1,4,5]
[2,1,4,1,1,4]=>[{2,4,5},{1},{3,6}]=>[2,4,5,1,3,6]
[2,1,4,1,4,1]=>[{2,4,6},{1},{3,5}]=>[2,4,6,1,3,5]
[2,1,4,4,1,1]=>[{2,5,6},{1},{3,4}]=>[2,5,6,1,3,4]
[2,4,1,1,1,4]=>[{3,4,5},{1},{2,6}]=>[3,4,5,1,2,6]
[2,4,1,1,4,1]=>[{3,4,6},{1},{2,5}]=>[3,4,6,1,2,5]
[2,4,1,4,1,1]=>[{3,5,6},{1},{2,4}]=>[3,5,6,1,2,4]
[2,4,4,1,1,1]=>[{4,5,6},{1},{2,3}]=>[4,5,6,1,2,3]
[4,1,1,1,2,4]=>[{2,3,4},{5},{1,6}]=>[2,3,4,5,1,6]
[4,1,1,1,4,2]=>[{2,3,4},{6},{1,5}]=>[2,3,4,6,1,5]
[4,1,1,2,1,4]=>[{2,3,5},{4},{1,6}]=>[2,3,5,4,1,6]
[4,1,1,2,4,1]=>[{2,3,6},{4},{1,5}]=>[2,3,6,4,1,5]
[4,1,1,4,1,2]=>[{2,3,5},{6},{1,4}]=>[2,3,5,6,1,4]
[4,1,1,4,2,1]=>[{2,3,6},{5},{1,4}]=>[2,3,6,5,1,4]
[4,1,2,1,1,4]=>[{2,4,5},{3},{1,6}]=>[2,4,5,3,1,6]
[4,1,2,1,4,1]=>[{2,4,6},{3},{1,5}]=>[2,4,6,3,1,5]
[4,1,2,4,1,1]=>[{2,5,6},{3},{1,4}]=>[2,5,6,3,1,4]
[4,1,4,1,1,2]=>[{2,4,5},{6},{1,3}]=>[2,4,5,6,1,3]
[4,1,4,1,2,1]=>[{2,4,6},{5},{1,3}]=>[2,4,6,5,1,3]
[4,1,4,2,1,1]=>[{2,5,6},{4},{1,3}]=>[2,5,6,4,1,3]
[4,2,1,1,1,4]=>[{3,4,5},{2},{1,6}]=>[3,4,5,2,1,6]
[4,2,1,1,4,1]=>[{3,4,6},{2},{1,5}]=>[3,4,6,2,1,5]
[4,2,1,4,1,1]=>[{3,5,6},{2},{1,4}]=>[3,5,6,2,1,4]
[4,2,4,1,1,1]=>[{4,5,6},{2},{1,3}]=>[4,5,6,2,1,3]
[4,4,1,1,1,2]=>[{3,4,5},{6},{1,2}]=>[3,4,5,6,1,2]
[4,4,1,1,2,1]=>[{3,4,6},{5},{1,2}]=>[3,4,6,5,1,2]
[4,4,1,2,1,1]=>[{3,5,6},{4},{1,2}]=>[3,5,6,4,1,2]
[4,4,2,1,1,1]=>[{4,5,6},{3},{1,2}]=>[4,5,6,3,1,2]
[1,1,1,2,4,5]=>[{1,2,3},{4},{5},{6}]=>[1,2,3,4,5,6]
[1,1,1,2,5,4]=>[{1,2,3},{4},{6},{5}]=>[1,2,3,4,6,5]
[1,1,1,4,2,5]=>[{1,2,3},{5},{4},{6}]=>[1,2,3,5,4,6]
[1,1,1,4,5,2]=>[{1,2,3},{6},{4},{5}]=>[1,2,3,6,4,5]
[1,1,1,5,2,4]=>[{1,2,3},{5},{6},{4}]=>[1,2,3,5,6,4]
[1,1,1,5,4,2]=>[{1,2,3},{6},{5},{4}]=>[1,2,3,6,5,4]
[1,1,2,1,4,5]=>[{1,2,4},{3},{5},{6}]=>[1,2,4,3,5,6]
[1,1,2,1,5,4]=>[{1,2,4},{3},{6},{5}]=>[1,2,4,3,6,5]
[1,1,2,4,1,5]=>[{1,2,5},{3},{4},{6}]=>[1,2,5,3,4,6]
[1,1,2,4,5,1]=>[{1,2,6},{3},{4},{5}]=>[1,2,6,3,4,5]
[1,1,2,5,1,4]=>[{1,2,5},{3},{6},{4}]=>[1,2,5,3,6,4]
[1,1,2,5,4,1]=>[{1,2,6},{3},{5},{4}]=>[1,2,6,3,5,4]
[1,1,4,1,2,5]=>[{1,2,4},{5},{3},{6}]=>[1,2,4,5,3,6]
[1,1,4,1,5,2]=>[{1,2,4},{6},{3},{5}]=>[1,2,4,6,3,5]
[1,1,4,2,1,5]=>[{1,2,5},{4},{3},{6}]=>[1,2,5,4,3,6]
[1,1,4,2,5,1]=>[{1,2,6},{4},{3},{5}]=>[1,2,6,4,3,5]
[1,1,4,5,1,2]=>[{1,2,5},{6},{3},{4}]=>[1,2,5,6,3,4]
[1,1,4,5,2,1]=>[{1,2,6},{5},{3},{4}]=>[1,2,6,5,3,4]
[1,1,5,1,2,4]=>[{1,2,4},{5},{6},{3}]=>[1,2,4,5,6,3]
[1,1,5,1,4,2]=>[{1,2,4},{6},{5},{3}]=>[1,2,4,6,5,3]
[1,1,5,2,1,4]=>[{1,2,5},{4},{6},{3}]=>[1,2,5,4,6,3]
[1,1,5,2,4,1]=>[{1,2,6},{4},{5},{3}]=>[1,2,6,4,5,3]
[1,1,5,4,1,2]=>[{1,2,5},{6},{4},{3}]=>[1,2,5,6,4,3]
[1,1,5,4,2,1]=>[{1,2,6},{5},{4},{3}]=>[1,2,6,5,4,3]
[1,2,1,1,4,5]=>[{1,3,4},{2},{5},{6}]=>[1,3,4,2,5,6]
[1,2,1,1,5,4]=>[{1,3,4},{2},{6},{5}]=>[1,3,4,2,6,5]
[1,2,1,4,1,5]=>[{1,3,5},{2},{4},{6}]=>[1,3,5,2,4,6]
[1,2,1,4,5,1]=>[{1,3,6},{2},{4},{5}]=>[1,3,6,2,4,5]
[1,2,1,5,1,4]=>[{1,3,5},{2},{6},{4}]=>[1,3,5,2,6,4]
[1,2,1,5,4,1]=>[{1,3,6},{2},{5},{4}]=>[1,3,6,2,5,4]
[1,2,4,1,1,5]=>[{1,4,5},{2},{3},{6}]=>[1,4,5,2,3,6]
[1,2,4,1,5,1]=>[{1,4,6},{2},{3},{5}]=>[1,4,6,2,3,5]
[1,2,4,5,1,1]=>[{1,5,6},{2},{3},{4}]=>[1,5,6,2,3,4]
[1,2,5,1,1,4]=>[{1,4,5},{2},{6},{3}]=>[1,4,5,2,6,3]
[1,2,5,1,4,1]=>[{1,4,6},{2},{5},{3}]=>[1,4,6,2,5,3]
[1,2,5,4,1,1]=>[{1,5,6},{2},{4},{3}]=>[1,5,6,2,4,3]
[1,4,1,1,2,5]=>[{1,3,4},{5},{2},{6}]=>[1,3,4,5,2,6]
[1,4,1,1,5,2]=>[{1,3,4},{6},{2},{5}]=>[1,3,4,6,2,5]
[1,4,1,2,1,5]=>[{1,3,5},{4},{2},{6}]=>[1,3,5,4,2,6]
[1,4,1,2,5,1]=>[{1,3,6},{4},{2},{5}]=>[1,3,6,4,2,5]
[1,4,1,5,1,2]=>[{1,3,5},{6},{2},{4}]=>[1,3,5,6,2,4]
[1,4,1,5,2,1]=>[{1,3,6},{5},{2},{4}]=>[1,3,6,5,2,4]
[1,4,2,1,1,5]=>[{1,4,5},{3},{2},{6}]=>[1,4,5,3,2,6]
[1,4,2,1,5,1]=>[{1,4,6},{3},{2},{5}]=>[1,4,6,3,2,5]
[1,4,2,5,1,1]=>[{1,5,6},{3},{2},{4}]=>[1,5,6,3,2,4]
[1,4,5,1,1,2]=>[{1,4,5},{6},{2},{3}]=>[1,4,5,6,2,3]
[1,4,5,1,2,1]=>[{1,4,6},{5},{2},{3}]=>[1,4,6,5,2,3]
[1,4,5,2,1,1]=>[{1,5,6},{4},{2},{3}]=>[1,5,6,4,2,3]
[1,5,1,1,2,4]=>[{1,3,4},{5},{6},{2}]=>[1,3,4,5,6,2]
[1,5,1,1,4,2]=>[{1,3,4},{6},{5},{2}]=>[1,3,4,6,5,2]
[1,5,1,2,1,4]=>[{1,3,5},{4},{6},{2}]=>[1,3,5,4,6,2]
[1,5,1,2,4,1]=>[{1,3,6},{4},{5},{2}]=>[1,3,6,4,5,2]
[1,5,1,4,1,2]=>[{1,3,5},{6},{4},{2}]=>[1,3,5,6,4,2]
[1,5,1,4,2,1]=>[{1,3,6},{5},{4},{2}]=>[1,3,6,5,4,2]
[1,5,2,1,1,4]=>[{1,4,5},{3},{6},{2}]=>[1,4,5,3,6,2]
[1,5,2,1,4,1]=>[{1,4,6},{3},{5},{2}]=>[1,4,6,3,5,2]
[1,5,2,4,1,1]=>[{1,5,6},{3},{4},{2}]=>[1,5,6,3,4,2]
[1,5,4,1,1,2]=>[{1,4,5},{6},{3},{2}]=>[1,4,5,6,3,2]
[1,5,4,1,2,1]=>[{1,4,6},{5},{3},{2}]=>[1,4,6,5,3,2]
[1,5,4,2,1,1]=>[{1,5,6},{4},{3},{2}]=>[1,5,6,4,3,2]
[2,1,1,1,4,5]=>[{2,3,4},{1},{5},{6}]=>[2,3,4,1,5,6]
[2,1,1,1,5,4]=>[{2,3,4},{1},{6},{5}]=>[2,3,4,1,6,5]
[2,1,1,4,1,5]=>[{2,3,5},{1},{4},{6}]=>[2,3,5,1,4,6]
[2,1,1,4,5,1]=>[{2,3,6},{1},{4},{5}]=>[2,3,6,1,4,5]
[2,1,1,5,1,4]=>[{2,3,5},{1},{6},{4}]=>[2,3,5,1,6,4]
[2,1,1,5,4,1]=>[{2,3,6},{1},{5},{4}]=>[2,3,6,1,5,4]
[2,1,4,1,1,5]=>[{2,4,5},{1},{3},{6}]=>[2,4,5,1,3,6]
[2,1,4,1,5,1]=>[{2,4,6},{1},{3},{5}]=>[2,4,6,1,3,5]
[2,1,4,5,1,1]=>[{2,5,6},{1},{3},{4}]=>[2,5,6,1,3,4]
[2,1,5,1,1,4]=>[{2,4,5},{1},{6},{3}]=>[2,4,5,1,6,3]
[2,1,5,1,4,1]=>[{2,4,6},{1},{5},{3}]=>[2,4,6,1,5,3]
[2,1,5,4,1,1]=>[{2,5,6},{1},{4},{3}]=>[2,5,6,1,4,3]
[2,4,1,1,1,5]=>[{3,4,5},{1},{2},{6}]=>[3,4,5,1,2,6]
[2,4,1,1,5,1]=>[{3,4,6},{1},{2},{5}]=>[3,4,6,1,2,5]
[2,4,1,5,1,1]=>[{3,5,6},{1},{2},{4}]=>[3,5,6,1,2,4]
[2,4,5,1,1,1]=>[{4,5,6},{1},{2},{3}]=>[4,5,6,1,2,3]
[2,5,1,1,1,4]=>[{3,4,5},{1},{6},{2}]=>[3,4,5,1,6,2]
[2,5,1,1,4,1]=>[{3,4,6},{1},{5},{2}]=>[3,4,6,1,5,2]
[2,5,1,4,1,1]=>[{3,5,6},{1},{4},{2}]=>[3,5,6,1,4,2]
[2,5,4,1,1,1]=>[{4,5,6},{1},{3},{2}]=>[4,5,6,1,3,2]
[4,1,1,1,2,5]=>[{2,3,4},{5},{1},{6}]=>[2,3,4,5,1,6]
[4,1,1,1,5,2]=>[{2,3,4},{6},{1},{5}]=>[2,3,4,6,1,5]
[4,1,1,2,1,5]=>[{2,3,5},{4},{1},{6}]=>[2,3,5,4,1,6]
[4,1,1,2,5,1]=>[{2,3,6},{4},{1},{5}]=>[2,3,6,4,1,5]
[4,1,1,5,1,2]=>[{2,3,5},{6},{1},{4}]=>[2,3,5,6,1,4]
[4,1,1,5,2,1]=>[{2,3,6},{5},{1},{4}]=>[2,3,6,5,1,4]
[4,1,2,1,1,5]=>[{2,4,5},{3},{1},{6}]=>[2,4,5,3,1,6]
[4,1,2,1,5,1]=>[{2,4,6},{3},{1},{5}]=>[2,4,6,3,1,5]
[4,1,2,5,1,1]=>[{2,5,6},{3},{1},{4}]=>[2,5,6,3,1,4]
[4,1,5,1,1,2]=>[{2,4,5},{6},{1},{3}]=>[2,4,5,6,1,3]
[4,1,5,1,2,1]=>[{2,4,6},{5},{1},{3}]=>[2,4,6,5,1,3]
[4,1,5,2,1,1]=>[{2,5,6},{4},{1},{3}]=>[2,5,6,4,1,3]
[4,2,1,1,1,5]=>[{3,4,5},{2},{1},{6}]=>[3,4,5,2,1,6]
[4,2,1,1,5,1]=>[{3,4,6},{2},{1},{5}]=>[3,4,6,2,1,5]
[4,2,1,5,1,1]=>[{3,5,6},{2},{1},{4}]=>[3,5,6,2,1,4]
[4,2,5,1,1,1]=>[{4,5,6},{2},{1},{3}]=>[4,5,6,2,1,3]
[4,5,1,1,1,2]=>[{3,4,5},{6},{1},{2}]=>[3,4,5,6,1,2]
[4,5,1,1,2,1]=>[{3,4,6},{5},{1},{2}]=>[3,4,6,5,1,2]
[4,5,1,2,1,1]=>[{3,5,6},{4},{1},{2}]=>[3,5,6,4,1,2]
[4,5,2,1,1,1]=>[{4,5,6},{3},{1},{2}]=>[4,5,6,3,1,2]
[5,1,1,1,2,4]=>[{2,3,4},{5},{6},{1}]=>[2,3,4,5,6,1]
[5,1,1,1,4,2]=>[{2,3,4},{6},{5},{1}]=>[2,3,4,6,5,1]
[5,1,1,2,1,4]=>[{2,3,5},{4},{6},{1}]=>[2,3,5,4,6,1]
[5,1,1,2,4,1]=>[{2,3,6},{4},{5},{1}]=>[2,3,6,4,5,1]
[5,1,1,4,1,2]=>[{2,3,5},{6},{4},{1}]=>[2,3,5,6,4,1]
[5,1,1,4,2,1]=>[{2,3,6},{5},{4},{1}]=>[2,3,6,5,4,1]
[5,1,2,1,1,4]=>[{2,4,5},{3},{6},{1}]=>[2,4,5,3,6,1]
[5,1,2,1,4,1]=>[{2,4,6},{3},{5},{1}]=>[2,4,6,3,5,1]
[5,1,2,4,1,1]=>[{2,5,6},{3},{4},{1}]=>[2,5,6,3,4,1]
[5,1,4,1,1,2]=>[{2,4,5},{6},{3},{1}]=>[2,4,5,6,3,1]
[5,1,4,1,2,1]=>[{2,4,6},{5},{3},{1}]=>[2,4,6,5,3,1]
[5,1,4,2,1,1]=>[{2,5,6},{4},{3},{1}]=>[2,5,6,4,3,1]
[5,2,1,1,1,4]=>[{3,4,5},{2},{6},{1}]=>[3,4,5,2,6,1]
[5,2,1,1,4,1]=>[{3,4,6},{2},{5},{1}]=>[3,4,6,2,5,1]
[5,2,1,4,1,1]=>[{3,5,6},{2},{4},{1}]=>[3,5,6,2,4,1]
[5,2,4,1,1,1]=>[{4,5,6},{2},{3},{1}]=>[4,5,6,2,3,1]
[5,4,1,1,1,2]=>[{3,4,5},{6},{2},{1}]=>[3,4,5,6,2,1]
[5,4,1,1,2,1]=>[{3,4,6},{5},{2},{1}]=>[3,4,6,5,2,1]
[5,4,1,2,1,1]=>[{3,5,6},{4},{2},{1}]=>[3,5,6,4,2,1]
[5,4,2,1,1,1]=>[{4,5,6},{3},{2},{1}]=>[4,5,6,3,2,1]
[1,1,1,2,4,6]=>[{1,2,3},{4},{5},{6}]=>[1,2,3,4,5,6]
[1,1,1,2,6,4]=>[{1,2,3},{4},{6},{5}]=>[1,2,3,4,6,5]
[1,1,1,4,2,6]=>[{1,2,3},{5},{4},{6}]=>[1,2,3,5,4,6]
[1,1,1,4,6,2]=>[{1,2,3},{6},{4},{5}]=>[1,2,3,6,4,5]
[1,1,1,6,2,4]=>[{1,2,3},{5},{6},{4}]=>[1,2,3,5,6,4]
[1,1,1,6,4,2]=>[{1,2,3},{6},{5},{4}]=>[1,2,3,6,5,4]
[1,1,2,1,4,6]=>[{1,2,4},{3},{5},{6}]=>[1,2,4,3,5,6]
[1,1,2,1,6,4]=>[{1,2,4},{3},{6},{5}]=>[1,2,4,3,6,5]
[1,1,2,4,1,6]=>[{1,2,5},{3},{4},{6}]=>[1,2,5,3,4,6]
[1,1,2,4,6,1]=>[{1,2,6},{3},{4},{5}]=>[1,2,6,3,4,5]
[1,1,2,6,1,4]=>[{1,2,5},{3},{6},{4}]=>[1,2,5,3,6,4]
[1,1,2,6,4,1]=>[{1,2,6},{3},{5},{4}]=>[1,2,6,3,5,4]
[1,1,4,1,2,6]=>[{1,2,4},{5},{3},{6}]=>[1,2,4,5,3,6]
[1,1,4,1,6,2]=>[{1,2,4},{6},{3},{5}]=>[1,2,4,6,3,5]
[1,1,4,2,1,6]=>[{1,2,5},{4},{3},{6}]=>[1,2,5,4,3,6]
[1,1,4,2,6,1]=>[{1,2,6},{4},{3},{5}]=>[1,2,6,4,3,5]
[1,1,4,6,1,2]=>[{1,2,5},{6},{3},{4}]=>[1,2,5,6,3,4]
[1,1,4,6,2,1]=>[{1,2,6},{5},{3},{4}]=>[1,2,6,5,3,4]
[1,1,6,1,2,4]=>[{1,2,4},{5},{6},{3}]=>[1,2,4,5,6,3]
[1,1,6,1,4,2]=>[{1,2,4},{6},{5},{3}]=>[1,2,4,6,5,3]
[1,1,6,2,1,4]=>[{1,2,5},{4},{6},{3}]=>[1,2,5,4,6,3]
[1,1,6,2,4,1]=>[{1,2,6},{4},{5},{3}]=>[1,2,6,4,5,3]
[1,1,6,4,1,2]=>[{1,2,5},{6},{4},{3}]=>[1,2,5,6,4,3]
[1,1,6,4,2,1]=>[{1,2,6},{5},{4},{3}]=>[1,2,6,5,4,3]
[1,2,1,1,4,6]=>[{1,3,4},{2},{5},{6}]=>[1,3,4,2,5,6]
[1,2,1,1,6,4]=>[{1,3,4},{2},{6},{5}]=>[1,3,4,2,6,5]
[1,2,1,4,1,6]=>[{1,3,5},{2},{4},{6}]=>[1,3,5,2,4,6]
[1,2,1,4,6,1]=>[{1,3,6},{2},{4},{5}]=>[1,3,6,2,4,5]
[1,2,1,6,1,4]=>[{1,3,5},{2},{6},{4}]=>[1,3,5,2,6,4]
[1,2,1,6,4,1]=>[{1,3,6},{2},{5},{4}]=>[1,3,6,2,5,4]
[1,2,4,1,1,6]=>[{1,4,5},{2},{3},{6}]=>[1,4,5,2,3,6]
[1,2,4,1,6,1]=>[{1,4,6},{2},{3},{5}]=>[1,4,6,2,3,5]
[1,2,4,6,1,1]=>[{1,5,6},{2},{3},{4}]=>[1,5,6,2,3,4]
[1,2,6,1,1,4]=>[{1,4,5},{2},{6},{3}]=>[1,4,5,2,6,3]
[1,2,6,1,4,1]=>[{1,4,6},{2},{5},{3}]=>[1,4,6,2,5,3]
[1,2,6,4,1,1]=>[{1,5,6},{2},{4},{3}]=>[1,5,6,2,4,3]
[1,4,1,1,2,6]=>[{1,3,4},{5},{2},{6}]=>[1,3,4,5,2,6]
[1,4,1,1,6,2]=>[{1,3,4},{6},{2},{5}]=>[1,3,4,6,2,5]
[1,4,1,2,1,6]=>[{1,3,5},{4},{2},{6}]=>[1,3,5,4,2,6]
[1,4,1,2,6,1]=>[{1,3,6},{4},{2},{5}]=>[1,3,6,4,2,5]
[1,4,1,6,1,2]=>[{1,3,5},{6},{2},{4}]=>[1,3,5,6,2,4]
[1,4,1,6,2,1]=>[{1,3,6},{5},{2},{4}]=>[1,3,6,5,2,4]
[1,4,2,1,1,6]=>[{1,4,5},{3},{2},{6}]=>[1,4,5,3,2,6]
[1,4,2,1,6,1]=>[{1,4,6},{3},{2},{5}]=>[1,4,6,3,2,5]
[1,4,2,6,1,1]=>[{1,5,6},{3},{2},{4}]=>[1,5,6,3,2,4]
[1,4,6,1,1,2]=>[{1,4,5},{6},{2},{3}]=>[1,4,5,6,2,3]
[1,4,6,1,2,1]=>[{1,4,6},{5},{2},{3}]=>[1,4,6,5,2,3]
[1,4,6,2,1,1]=>[{1,5,6},{4},{2},{3}]=>[1,5,6,4,2,3]
[1,6,1,1,2,4]=>[{1,3,4},{5},{6},{2}]=>[1,3,4,5,6,2]
[1,6,1,1,4,2]=>[{1,3,4},{6},{5},{2}]=>[1,3,4,6,5,2]
[1,6,1,2,1,4]=>[{1,3,5},{4},{6},{2}]=>[1,3,5,4,6,2]
[1,6,1,2,4,1]=>[{1,3,6},{4},{5},{2}]=>[1,3,6,4,5,2]
[1,6,1,4,1,2]=>[{1,3,5},{6},{4},{2}]=>[1,3,5,6,4,2]
[1,6,1,4,2,1]=>[{1,3,6},{5},{4},{2}]=>[1,3,6,5,4,2]
[1,6,2,1,1,4]=>[{1,4,5},{3},{6},{2}]=>[1,4,5,3,6,2]
[1,6,2,1,4,1]=>[{1,4,6},{3},{5},{2}]=>[1,4,6,3,5,2]
[1,6,2,4,1,1]=>[{1,5,6},{3},{4},{2}]=>[1,5,6,3,4,2]
[1,6,4,1,1,2]=>[{1,4,5},{6},{3},{2}]=>[1,4,5,6,3,2]
[1,6,4,1,2,1]=>[{1,4,6},{5},{3},{2}]=>[1,4,6,5,3,2]
[1,6,4,2,1,1]=>[{1,5,6},{4},{3},{2}]=>[1,5,6,4,3,2]
[2,1,1,1,4,6]=>[{2,3,4},{1},{5},{6}]=>[2,3,4,1,5,6]
[2,1,1,1,6,4]=>[{2,3,4},{1},{6},{5}]=>[2,3,4,1,6,5]
[2,1,1,4,1,6]=>[{2,3,5},{1},{4},{6}]=>[2,3,5,1,4,6]
[2,1,1,4,6,1]=>[{2,3,6},{1},{4},{5}]=>[2,3,6,1,4,5]
[2,1,1,6,1,4]=>[{2,3,5},{1},{6},{4}]=>[2,3,5,1,6,4]
[2,1,1,6,4,1]=>[{2,3,6},{1},{5},{4}]=>[2,3,6,1,5,4]
[2,1,4,1,1,6]=>[{2,4,5},{1},{3},{6}]=>[2,4,5,1,3,6]
[2,1,4,1,6,1]=>[{2,4,6},{1},{3},{5}]=>[2,4,6,1,3,5]
[2,1,4,6,1,1]=>[{2,5,6},{1},{3},{4}]=>[2,5,6,1,3,4]
[2,1,6,1,1,4]=>[{2,4,5},{1},{6},{3}]=>[2,4,5,1,6,3]
[2,1,6,1,4,1]=>[{2,4,6},{1},{5},{3}]=>[2,4,6,1,5,3]
[2,1,6,4,1,1]=>[{2,5,6},{1},{4},{3}]=>[2,5,6,1,4,3]
[2,4,1,1,1,6]=>[{3,4,5},{1},{2},{6}]=>[3,4,5,1,2,6]
[2,4,1,1,6,1]=>[{3,4,6},{1},{2},{5}]=>[3,4,6,1,2,5]
[2,4,1,6,1,1]=>[{3,5,6},{1},{2},{4}]=>[3,5,6,1,2,4]
[2,4,6,1,1,1]=>[{4,5,6},{1},{2},{3}]=>[4,5,6,1,2,3]
[2,6,1,1,1,4]=>[{3,4,5},{1},{6},{2}]=>[3,4,5,1,6,2]
[2,6,1,1,4,1]=>[{3,4,6},{1},{5},{2}]=>[3,4,6,1,5,2]
[2,6,1,4,1,1]=>[{3,5,6},{1},{4},{2}]=>[3,5,6,1,4,2]
[2,6,4,1,1,1]=>[{4,5,6},{1},{3},{2}]=>[4,5,6,1,3,2]
[4,1,1,1,2,6]=>[{2,3,4},{5},{1},{6}]=>[2,3,4,5,1,6]
[4,1,1,1,6,2]=>[{2,3,4},{6},{1},{5}]=>[2,3,4,6,1,5]
[4,1,1,2,1,6]=>[{2,3,5},{4},{1},{6}]=>[2,3,5,4,1,6]
[4,1,1,2,6,1]=>[{2,3,6},{4},{1},{5}]=>[2,3,6,4,1,5]
[4,1,1,6,1,2]=>[{2,3,5},{6},{1},{4}]=>[2,3,5,6,1,4]
[4,1,1,6,2,1]=>[{2,3,6},{5},{1},{4}]=>[2,3,6,5,1,4]
[4,1,2,1,1,6]=>[{2,4,5},{3},{1},{6}]=>[2,4,5,3,1,6]
[4,1,2,1,6,1]=>[{2,4,6},{3},{1},{5}]=>[2,4,6,3,1,5]
[4,1,2,6,1,1]=>[{2,5,6},{3},{1},{4}]=>[2,5,6,3,1,4]
[4,1,6,1,1,2]=>[{2,4,5},{6},{1},{3}]=>[2,4,5,6,1,3]
[4,1,6,1,2,1]=>[{2,4,6},{5},{1},{3}]=>[2,4,6,5,1,3]
[4,1,6,2,1,1]=>[{2,5,6},{4},{1},{3}]=>[2,5,6,4,1,3]
[4,2,1,1,1,6]=>[{3,4,5},{2},{1},{6}]=>[3,4,5,2,1,6]
[4,2,1,1,6,1]=>[{3,4,6},{2},{1},{5}]=>[3,4,6,2,1,5]
[4,2,1,6,1,1]=>[{3,5,6},{2},{1},{4}]=>[3,5,6,2,1,4]
[4,2,6,1,1,1]=>[{4,5,6},{2},{1},{3}]=>[4,5,6,2,1,3]
[4,6,1,1,1,2]=>[{3,4,5},{6},{1},{2}]=>[3,4,5,6,1,2]
[4,6,1,1,2,1]=>[{3,4,6},{5},{1},{2}]=>[3,4,6,5,1,2]
[4,6,1,2,1,1]=>[{3,5,6},{4},{1},{2}]=>[3,5,6,4,1,2]
[4,6,2,1,1,1]=>[{4,5,6},{3},{1},{2}]=>[4,5,6,3,1,2]
[6,1,1,1,2,4]=>[{2,3,4},{5},{6},{1}]=>[2,3,4,5,6,1]
[6,1,1,1,4,2]=>[{2,3,4},{6},{5},{1}]=>[2,3,4,6,5,1]
[6,1,1,2,1,4]=>[{2,3,5},{4},{6},{1}]=>[2,3,5,4,6,1]
[6,1,1,2,4,1]=>[{2,3,6},{4},{5},{1}]=>[2,3,6,4,5,1]
[6,1,1,4,1,2]=>[{2,3,5},{6},{4},{1}]=>[2,3,5,6,4,1]
[6,1,1,4,2,1]=>[{2,3,6},{5},{4},{1}]=>[2,3,6,5,4,1]
[6,1,2,1,1,4]=>[{2,4,5},{3},{6},{1}]=>[2,4,5,3,6,1]
[6,1,2,1,4,1]=>[{2,4,6},{3},{5},{1}]=>[2,4,6,3,5,1]
[6,1,2,4,1,1]=>[{2,5,6},{3},{4},{1}]=>[2,5,6,3,4,1]
[6,1,4,1,1,2]=>[{2,4,5},{6},{3},{1}]=>[2,4,5,6,3,1]
[6,1,4,1,2,1]=>[{2,4,6},{5},{3},{1}]=>[2,4,6,5,3,1]
[6,1,4,2,1,1]=>[{2,5,6},{4},{3},{1}]=>[2,5,6,4,3,1]
[6,2,1,1,1,4]=>[{3,4,5},{2},{6},{1}]=>[3,4,5,2,6,1]
[6,2,1,1,4,1]=>[{3,4,6},{2},{5},{1}]=>[3,4,6,2,5,1]
[6,2,1,4,1,1]=>[{3,5,6},{2},{4},{1}]=>[3,5,6,2,4,1]
[6,2,4,1,1,1]=>[{4,5,6},{2},{3},{1}]=>[4,5,6,2,3,1]
[6,4,1,1,1,2]=>[{3,4,5},{6},{2},{1}]=>[3,4,5,6,2,1]
[6,4,1,1,2,1]=>[{3,4,6},{5},{2},{1}]=>[3,4,6,5,2,1]
[6,4,1,2,1,1]=>[{3,5,6},{4},{2},{1}]=>[3,5,6,4,2,1]
[6,4,2,1,1,1]=>[{4,5,6},{3},{2},{1}]=>[4,5,6,3,2,1]
[1,1,1,2,5,5]=>[{1,2,3},{4},{5,6}]=>[1,2,3,4,5,6]
[1,1,1,5,2,5]=>[{1,2,3},{5},{4,6}]=>[1,2,3,5,4,6]
[1,1,1,5,5,2]=>[{1,2,3},{6},{4,5}]=>[1,2,3,6,4,5]
[1,1,2,1,5,5]=>[{1,2,4},{3},{5,6}]=>[1,2,4,3,5,6]
[1,1,2,5,1,5]=>[{1,2,5},{3},{4,6}]=>[1,2,5,3,4,6]
[1,1,2,5,5,1]=>[{1,2,6},{3},{4,5}]=>[1,2,6,3,4,5]
[1,1,5,1,2,5]=>[{1,2,4},{5},{3,6}]=>[1,2,4,5,3,6]
[1,1,5,1,5,2]=>[{1,2,4},{6},{3,5}]=>[1,2,4,6,3,5]
[1,1,5,2,1,5]=>[{1,2,5},{4},{3,6}]=>[1,2,5,4,3,6]
[1,1,5,2,5,1]=>[{1,2,6},{4},{3,5}]=>[1,2,6,4,3,5]
[1,1,5,5,1,2]=>[{1,2,5},{6},{3,4}]=>[1,2,5,6,3,4]
[1,1,5,5,2,1]=>[{1,2,6},{5},{3,4}]=>[1,2,6,5,3,4]
[1,2,1,1,5,5]=>[{1,3,4},{2},{5,6}]=>[1,3,4,2,5,6]
[1,2,1,5,1,5]=>[{1,3,5},{2},{4,6}]=>[1,3,5,2,4,6]
[1,2,1,5,5,1]=>[{1,3,6},{2},{4,5}]=>[1,3,6,2,4,5]
[1,2,5,1,1,5]=>[{1,4,5},{2},{3,6}]=>[1,4,5,2,3,6]
[1,2,5,1,5,1]=>[{1,4,6},{2},{3,5}]=>[1,4,6,2,3,5]
[1,2,5,5,1,1]=>[{1,5,6},{2},{3,4}]=>[1,5,6,2,3,4]
[1,5,1,1,2,5]=>[{1,3,4},{5},{2,6}]=>[1,3,4,5,2,6]
[1,5,1,1,5,2]=>[{1,3,4},{6},{2,5}]=>[1,3,4,6,2,5]
[1,5,1,2,1,5]=>[{1,3,5},{4},{2,6}]=>[1,3,5,4,2,6]
[1,5,1,2,5,1]=>[{1,3,6},{4},{2,5}]=>[1,3,6,4,2,5]
[1,5,1,5,1,2]=>[{1,3,5},{6},{2,4}]=>[1,3,5,6,2,4]
[1,5,1,5,2,1]=>[{1,3,6},{5},{2,4}]=>[1,3,6,5,2,4]
[1,5,2,1,1,5]=>[{1,4,5},{3},{2,6}]=>[1,4,5,3,2,6]
[1,5,2,1,5,1]=>[{1,4,6},{3},{2,5}]=>[1,4,6,3,2,5]
[1,5,2,5,1,1]=>[{1,5,6},{3},{2,4}]=>[1,5,6,3,2,4]
[1,5,5,1,1,2]=>[{1,4,5},{6},{2,3}]=>[1,4,5,6,2,3]
[1,5,5,1,2,1]=>[{1,4,6},{5},{2,3}]=>[1,4,6,5,2,3]
[1,5,5,2,1,1]=>[{1,5,6},{4},{2,3}]=>[1,5,6,4,2,3]
[2,1,1,1,5,5]=>[{2,3,4},{1},{5,6}]=>[2,3,4,1,5,6]
[2,1,1,5,1,5]=>[{2,3,5},{1},{4,6}]=>[2,3,5,1,4,6]
[2,1,1,5,5,1]=>[{2,3,6},{1},{4,5}]=>[2,3,6,1,4,5]
[2,1,5,1,1,5]=>[{2,4,5},{1},{3,6}]=>[2,4,5,1,3,6]
[2,1,5,1,5,1]=>[{2,4,6},{1},{3,5}]=>[2,4,6,1,3,5]
[2,1,5,5,1,1]=>[{2,5,6},{1},{3,4}]=>[2,5,6,1,3,4]
[2,5,1,1,1,5]=>[{3,4,5},{1},{2,6}]=>[3,4,5,1,2,6]
[2,5,1,1,5,1]=>[{3,4,6},{1},{2,5}]=>[3,4,6,1,2,5]
[2,5,1,5,1,1]=>[{3,5,6},{1},{2,4}]=>[3,5,6,1,2,4]
[2,5,5,1,1,1]=>[{4,5,6},{1},{2,3}]=>[4,5,6,1,2,3]
[5,1,1,1,2,5]=>[{2,3,4},{5},{1,6}]=>[2,3,4,5,1,6]
[5,1,1,1,5,2]=>[{2,3,4},{6},{1,5}]=>[2,3,4,6,1,5]
[5,1,1,2,1,5]=>[{2,3,5},{4},{1,6}]=>[2,3,5,4,1,6]
[5,1,1,2,5,1]=>[{2,3,6},{4},{1,5}]=>[2,3,6,4,1,5]
[5,1,1,5,1,2]=>[{2,3,5},{6},{1,4}]=>[2,3,5,6,1,4]
[5,1,1,5,2,1]=>[{2,3,6},{5},{1,4}]=>[2,3,6,5,1,4]
[5,1,2,1,1,5]=>[{2,4,5},{3},{1,6}]=>[2,4,5,3,1,6]
[5,1,2,1,5,1]=>[{2,4,6},{3},{1,5}]=>[2,4,6,3,1,5]
[5,1,2,5,1,1]=>[{2,5,6},{3},{1,4}]=>[2,5,6,3,1,4]
[5,1,5,1,1,2]=>[{2,4,5},{6},{1,3}]=>[2,4,5,6,1,3]
[5,1,5,1,2,1]=>[{2,4,6},{5},{1,3}]=>[2,4,6,5,1,3]
[5,1,5,2,1,1]=>[{2,5,6},{4},{1,3}]=>[2,5,6,4,1,3]
[5,2,1,1,1,5]=>[{3,4,5},{2},{1,6}]=>[3,4,5,2,1,6]
[5,2,1,1,5,1]=>[{3,4,6},{2},{1,5}]=>[3,4,6,2,1,5]
[5,2,1,5,1,1]=>[{3,5,6},{2},{1,4}]=>[3,5,6,2,1,4]
[5,2,5,1,1,1]=>[{4,5,6},{2},{1,3}]=>[4,5,6,2,1,3]
[5,5,1,1,1,2]=>[{3,4,5},{6},{1,2}]=>[3,4,5,6,1,2]
[5,5,1,1,2,1]=>[{3,4,6},{5},{1,2}]=>[3,4,6,5,1,2]
[5,5,1,2,1,1]=>[{3,5,6},{4},{1,2}]=>[3,5,6,4,1,2]
[5,5,2,1,1,1]=>[{4,5,6},{3},{1,2}]=>[4,5,6,3,1,2]
[1,1,1,2,5,6]=>[{1,2,3},{4},{5},{6}]=>[1,2,3,4,5,6]
[1,1,1,2,6,5]=>[{1,2,3},{4},{6},{5}]=>[1,2,3,4,6,5]
[1,1,1,5,2,6]=>[{1,2,3},{5},{4},{6}]=>[1,2,3,5,4,6]
[1,1,1,5,6,2]=>[{1,2,3},{6},{4},{5}]=>[1,2,3,6,4,5]
[1,1,1,6,2,5]=>[{1,2,3},{5},{6},{4}]=>[1,2,3,5,6,4]
[1,1,1,6,5,2]=>[{1,2,3},{6},{5},{4}]=>[1,2,3,6,5,4]
[1,1,2,1,5,6]=>[{1,2,4},{3},{5},{6}]=>[1,2,4,3,5,6]
[1,1,2,1,6,5]=>[{1,2,4},{3},{6},{5}]=>[1,2,4,3,6,5]
[1,1,2,5,1,6]=>[{1,2,5},{3},{4},{6}]=>[1,2,5,3,4,6]
[1,1,2,5,6,1]=>[{1,2,6},{3},{4},{5}]=>[1,2,6,3,4,5]
[1,1,2,6,1,5]=>[{1,2,5},{3},{6},{4}]=>[1,2,5,3,6,4]
[1,1,2,6,5,1]=>[{1,2,6},{3},{5},{4}]=>[1,2,6,3,5,4]
[1,1,5,1,2,6]=>[{1,2,4},{5},{3},{6}]=>[1,2,4,5,3,6]
[1,1,5,1,6,2]=>[{1,2,4},{6},{3},{5}]=>[1,2,4,6,3,5]
[1,1,5,2,1,6]=>[{1,2,5},{4},{3},{6}]=>[1,2,5,4,3,6]
[1,1,5,2,6,1]=>[{1,2,6},{4},{3},{5}]=>[1,2,6,4,3,5]
[1,1,5,6,1,2]=>[{1,2,5},{6},{3},{4}]=>[1,2,5,6,3,4]
[1,1,5,6,2,1]=>[{1,2,6},{5},{3},{4}]=>[1,2,6,5,3,4]
[1,1,6,1,2,5]=>[{1,2,4},{5},{6},{3}]=>[1,2,4,5,6,3]
[1,1,6,1,5,2]=>[{1,2,4},{6},{5},{3}]=>[1,2,4,6,5,3]
[1,1,6,2,1,5]=>[{1,2,5},{4},{6},{3}]=>[1,2,5,4,6,3]
[1,1,6,2,5,1]=>[{1,2,6},{4},{5},{3}]=>[1,2,6,4,5,3]
[1,1,6,5,1,2]=>[{1,2,5},{6},{4},{3}]=>[1,2,5,6,4,3]
[1,1,6,5,2,1]=>[{1,2,6},{5},{4},{3}]=>[1,2,6,5,4,3]
[1,2,1,1,5,6]=>[{1,3,4},{2},{5},{6}]=>[1,3,4,2,5,6]
[1,2,1,1,6,5]=>[{1,3,4},{2},{6},{5}]=>[1,3,4,2,6,5]
[1,2,1,5,1,6]=>[{1,3,5},{2},{4},{6}]=>[1,3,5,2,4,6]
[1,2,1,5,6,1]=>[{1,3,6},{2},{4},{5}]=>[1,3,6,2,4,5]
[1,2,1,6,1,5]=>[{1,3,5},{2},{6},{4}]=>[1,3,5,2,6,4]
[1,2,1,6,5,1]=>[{1,3,6},{2},{5},{4}]=>[1,3,6,2,5,4]
[1,2,5,1,1,6]=>[{1,4,5},{2},{3},{6}]=>[1,4,5,2,3,6]
[1,2,5,1,6,1]=>[{1,4,6},{2},{3},{5}]=>[1,4,6,2,3,5]
[1,2,5,6,1,1]=>[{1,5,6},{2},{3},{4}]=>[1,5,6,2,3,4]
[1,2,6,1,1,5]=>[{1,4,5},{2},{6},{3}]=>[1,4,5,2,6,3]
[1,2,6,1,5,1]=>[{1,4,6},{2},{5},{3}]=>[1,4,6,2,5,3]
[1,2,6,5,1,1]=>[{1,5,6},{2},{4},{3}]=>[1,5,6,2,4,3]
[1,5,1,1,2,6]=>[{1,3,4},{5},{2},{6}]=>[1,3,4,5,2,6]
[1,5,1,1,6,2]=>[{1,3,4},{6},{2},{5}]=>[1,3,4,6,2,5]
[1,5,1,2,1,6]=>[{1,3,5},{4},{2},{6}]=>[1,3,5,4,2,6]
[1,5,1,2,6,1]=>[{1,3,6},{4},{2},{5}]=>[1,3,6,4,2,5]
[1,5,1,6,1,2]=>[{1,3,5},{6},{2},{4}]=>[1,3,5,6,2,4]
[1,5,1,6,2,1]=>[{1,3,6},{5},{2},{4}]=>[1,3,6,5,2,4]
[1,5,2,1,1,6]=>[{1,4,5},{3},{2},{6}]=>[1,4,5,3,2,6]
[1,5,2,1,6,1]=>[{1,4,6},{3},{2},{5}]=>[1,4,6,3,2,5]
[1,5,2,6,1,1]=>[{1,5,6},{3},{2},{4}]=>[1,5,6,3,2,4]
[1,5,6,1,1,2]=>[{1,4,5},{6},{2},{3}]=>[1,4,5,6,2,3]
[1,5,6,1,2,1]=>[{1,4,6},{5},{2},{3}]=>[1,4,6,5,2,3]
[1,5,6,2,1,1]=>[{1,5,6},{4},{2},{3}]=>[1,5,6,4,2,3]
[1,6,1,1,2,5]=>[{1,3,4},{5},{6},{2}]=>[1,3,4,5,6,2]
[1,6,1,1,5,2]=>[{1,3,4},{6},{5},{2}]=>[1,3,4,6,5,2]
[1,6,1,2,1,5]=>[{1,3,5},{4},{6},{2}]=>[1,3,5,4,6,2]
[1,6,1,2,5,1]=>[{1,3,6},{4},{5},{2}]=>[1,3,6,4,5,2]
[1,6,1,5,1,2]=>[{1,3,5},{6},{4},{2}]=>[1,3,5,6,4,2]
[1,6,1,5,2,1]=>[{1,3,6},{5},{4},{2}]=>[1,3,6,5,4,2]
[1,6,2,1,1,5]=>[{1,4,5},{3},{6},{2}]=>[1,4,5,3,6,2]
[1,6,2,1,5,1]=>[{1,4,6},{3},{5},{2}]=>[1,4,6,3,5,2]
[1,6,2,5,1,1]=>[{1,5,6},{3},{4},{2}]=>[1,5,6,3,4,2]
[1,6,5,1,1,2]=>[{1,4,5},{6},{3},{2}]=>[1,4,5,6,3,2]
[1,6,5,1,2,1]=>[{1,4,6},{5},{3},{2}]=>[1,4,6,5,3,2]
[1,6,5,2,1,1]=>[{1,5,6},{4},{3},{2}]=>[1,5,6,4,3,2]
[2,1,1,1,5,6]=>[{2,3,4},{1},{5},{6}]=>[2,3,4,1,5,6]
[2,1,1,1,6,5]=>[{2,3,4},{1},{6},{5}]=>[2,3,4,1,6,5]
[2,1,1,5,1,6]=>[{2,3,5},{1},{4},{6}]=>[2,3,5,1,4,6]
[2,1,1,5,6,1]=>[{2,3,6},{1},{4},{5}]=>[2,3,6,1,4,5]
[2,1,1,6,1,5]=>[{2,3,5},{1},{6},{4}]=>[2,3,5,1,6,4]
[2,1,1,6,5,1]=>[{2,3,6},{1},{5},{4}]=>[2,3,6,1,5,4]
[2,1,5,1,1,6]=>[{2,4,5},{1},{3},{6}]=>[2,4,5,1,3,6]
[2,1,5,1,6,1]=>[{2,4,6},{1},{3},{5}]=>[2,4,6,1,3,5]
[2,1,5,6,1,1]=>[{2,5,6},{1},{3},{4}]=>[2,5,6,1,3,4]
[2,1,6,1,1,5]=>[{2,4,5},{1},{6},{3}]=>[2,4,5,1,6,3]
[2,1,6,1,5,1]=>[{2,4,6},{1},{5},{3}]=>[2,4,6,1,5,3]
[2,1,6,5,1,1]=>[{2,5,6},{1},{4},{3}]=>[2,5,6,1,4,3]
[2,5,1,1,1,6]=>[{3,4,5},{1},{2},{6}]=>[3,4,5,1,2,6]
[2,5,1,1,6,1]=>[{3,4,6},{1},{2},{5}]=>[3,4,6,1,2,5]
[2,5,1,6,1,1]=>[{3,5,6},{1},{2},{4}]=>[3,5,6,1,2,4]
[2,5,6,1,1,1]=>[{4,5,6},{1},{2},{3}]=>[4,5,6,1,2,3]
[2,6,1,1,1,5]=>[{3,4,5},{1},{6},{2}]=>[3,4,5,1,6,2]
[2,6,1,1,5,1]=>[{3,4,6},{1},{5},{2}]=>[3,4,6,1,5,2]
[2,6,1,5,1,1]=>[{3,5,6},{1},{4},{2}]=>[3,5,6,1,4,2]
[2,6,5,1,1,1]=>[{4,5,6},{1},{3},{2}]=>[4,5,6,1,3,2]
[5,1,1,1,2,6]=>[{2,3,4},{5},{1},{6}]=>[2,3,4,5,1,6]
[5,1,1,1,6,2]=>[{2,3,4},{6},{1},{5}]=>[2,3,4,6,1,5]
[5,1,1,2,1,6]=>[{2,3,5},{4},{1},{6}]=>[2,3,5,4,1,6]
[5,1,1,2,6,1]=>[{2,3,6},{4},{1},{5}]=>[2,3,6,4,1,5]
[5,1,1,6,1,2]=>[{2,3,5},{6},{1},{4}]=>[2,3,5,6,1,4]
[5,1,1,6,2,1]=>[{2,3,6},{5},{1},{4}]=>[2,3,6,5,1,4]
[5,1,2,1,1,6]=>[{2,4,5},{3},{1},{6}]=>[2,4,5,3,1,6]
[5,1,2,1,6,1]=>[{2,4,6},{3},{1},{5}]=>[2,4,6,3,1,5]
[5,1,2,6,1,1]=>[{2,5,6},{3},{1},{4}]=>[2,5,6,3,1,4]
[5,1,6,1,1,2]=>[{2,4,5},{6},{1},{3}]=>[2,4,5,6,1,3]
[5,1,6,1,2,1]=>[{2,4,6},{5},{1},{3}]=>[2,4,6,5,1,3]
[5,1,6,2,1,1]=>[{2,5,6},{4},{1},{3}]=>[2,5,6,4,1,3]
[5,2,1,1,1,6]=>[{3,4,5},{2},{1},{6}]=>[3,4,5,2,1,6]
[5,2,1,1,6,1]=>[{3,4,6},{2},{1},{5}]=>[3,4,6,2,1,5]
[5,2,1,6,1,1]=>[{3,5,6},{2},{1},{4}]=>[3,5,6,2,1,4]
[5,2,6,1,1,1]=>[{4,5,6},{2},{1},{3}]=>[4,5,6,2,1,3]
[5,6,1,1,1,2]=>[{3,4,5},{6},{1},{2}]=>[3,4,5,6,1,2]
[5,6,1,1,2,1]=>[{3,4,6},{5},{1},{2}]=>[3,4,6,5,1,2]
[5,6,1,2,1,1]=>[{3,5,6},{4},{1},{2}]=>[3,5,6,4,1,2]
[5,6,2,1,1,1]=>[{4,5,6},{3},{1},{2}]=>[4,5,6,3,1,2]
[6,1,1,1,2,5]=>[{2,3,4},{5},{6},{1}]=>[2,3,4,5,6,1]
[6,1,1,1,5,2]=>[{2,3,4},{6},{5},{1}]=>[2,3,4,6,5,1]
[6,1,1,2,1,5]=>[{2,3,5},{4},{6},{1}]=>[2,3,5,4,6,1]
[6,1,1,2,5,1]=>[{2,3,6},{4},{5},{1}]=>[2,3,6,4,5,1]
[6,1,1,5,1,2]=>[{2,3,5},{6},{4},{1}]=>[2,3,5,6,4,1]
[6,1,1,5,2,1]=>[{2,3,6},{5},{4},{1}]=>[2,3,6,5,4,1]
[6,1,2,1,1,5]=>[{2,4,5},{3},{6},{1}]=>[2,4,5,3,6,1]
[6,1,2,1,5,1]=>[{2,4,6},{3},{5},{1}]=>[2,4,6,3,5,1]
[6,1,2,5,1,1]=>[{2,5,6},{3},{4},{1}]=>[2,5,6,3,4,1]
[6,1,5,1,1,2]=>[{2,4,5},{6},{3},{1}]=>[2,4,5,6,3,1]
[6,1,5,1,2,1]=>[{2,4,6},{5},{3},{1}]=>[2,4,6,5,3,1]
[6,1,5,2,1,1]=>[{2,5,6},{4},{3},{1}]=>[2,5,6,4,3,1]
[6,2,1,1,1,5]=>[{3,4,5},{2},{6},{1}]=>[3,4,5,2,6,1]
[6,2,1,1,5,1]=>[{3,4,6},{2},{5},{1}]=>[3,4,6,2,5,1]
[6,2,1,5,1,1]=>[{3,5,6},{2},{4},{1}]=>[3,5,6,2,4,1]
[6,2,5,1,1,1]=>[{4,5,6},{2},{3},{1}]=>[4,5,6,2,3,1]
[6,5,1,1,1,2]=>[{3,4,5},{6},{2},{1}]=>[3,4,5,6,2,1]
[6,5,1,1,2,1]=>[{3,4,6},{5},{2},{1}]=>[3,4,6,5,2,1]
[6,5,1,2,1,1]=>[{3,5,6},{4},{2},{1}]=>[3,5,6,4,2,1]
[6,5,2,1,1,1]=>[{4,5,6},{3},{2},{1}]=>[4,5,6,3,2,1]
[1,1,1,3,3,3]=>[{1,2,3},{4,5,6}]=>[1,2,3,4,5,6]
[1,1,3,1,3,3]=>[{1,2,4},{3,5,6}]=>[1,2,4,3,5,6]
[1,1,3,3,1,3]=>[{1,2,5},{3,4,6}]=>[1,2,5,3,4,6]
[1,1,3,3,3,1]=>[{1,2,6},{3,4,5}]=>[1,2,6,3,4,5]
[1,3,1,1,3,3]=>[{1,3,4},{2,5,6}]=>[1,3,4,2,5,6]
[1,3,1,3,1,3]=>[{1,3,5},{2,4,6}]=>[1,3,5,2,4,6]
[1,3,1,3,3,1]=>[{1,3,6},{2,4,5}]=>[1,3,6,2,4,5]
[1,3,3,1,1,3]=>[{1,4,5},{2,3,6}]=>[1,4,5,2,3,6]
[1,3,3,1,3,1]=>[{1,4,6},{2,3,5}]=>[1,4,6,2,3,5]
[1,3,3,3,1,1]=>[{1,5,6},{2,3,4}]=>[1,5,6,2,3,4]
[3,1,1,1,3,3]=>[{2,3,4},{1,5,6}]=>[2,3,4,1,5,6]
[3,1,1,3,1,3]=>[{2,3,5},{1,4,6}]=>[2,3,5,1,4,6]
[3,1,1,3,3,1]=>[{2,3,6},{1,4,5}]=>[2,3,6,1,4,5]
[3,1,3,1,1,3]=>[{2,4,5},{1,3,6}]=>[2,4,5,1,3,6]
[3,1,3,1,3,1]=>[{2,4,6},{1,3,5}]=>[2,4,6,1,3,5]
[3,1,3,3,1,1]=>[{2,5,6},{1,3,4}]=>[2,5,6,1,3,4]
[3,3,1,1,1,3]=>[{3,4,5},{1,2,6}]=>[3,4,5,1,2,6]
[3,3,1,1,3,1]=>[{3,4,6},{1,2,5}]=>[3,4,6,1,2,5]
[3,3,1,3,1,1]=>[{3,5,6},{1,2,4}]=>[3,5,6,1,2,4]
[3,3,3,1,1,1]=>[{4,5,6},{1,2,3}]=>[4,5,6,1,2,3]
[1,1,1,3,3,4]=>[{1,2,3},{4,5},{6}]=>[1,2,3,4,5,6]
[1,1,1,3,4,3]=>[{1,2,3},{4,6},{5}]=>[1,2,3,4,6,5]
[1,1,1,4,3,3]=>[{1,2,3},{5,6},{4}]=>[1,2,3,5,6,4]
[1,1,3,1,3,4]=>[{1,2,4},{3,5},{6}]=>[1,2,4,3,5,6]
[1,1,3,1,4,3]=>[{1,2,4},{3,6},{5}]=>[1,2,4,3,6,5]
[1,1,3,3,1,4]=>[{1,2,5},{3,4},{6}]=>[1,2,5,3,4,6]
[1,1,3,3,4,1]=>[{1,2,6},{3,4},{5}]=>[1,2,6,3,4,5]
[1,1,3,4,1,3]=>[{1,2,5},{3,6},{4}]=>[1,2,5,3,6,4]
[1,1,3,4,3,1]=>[{1,2,6},{3,5},{4}]=>[1,2,6,3,5,4]
[1,1,4,1,3,3]=>[{1,2,4},{5,6},{3}]=>[1,2,4,5,6,3]
[1,1,4,3,1,3]=>[{1,2,5},{4,6},{3}]=>[1,2,5,4,6,3]
[1,1,4,3,3,1]=>[{1,2,6},{4,5},{3}]=>[1,2,6,4,5,3]
[1,3,1,1,3,4]=>[{1,3,4},{2,5},{6}]=>[1,3,4,2,5,6]
[1,3,1,1,4,3]=>[{1,3,4},{2,6},{5}]=>[1,3,4,2,6,5]
[1,3,1,3,1,4]=>[{1,3,5},{2,4},{6}]=>[1,3,5,2,4,6]
[1,3,1,3,4,1]=>[{1,3,6},{2,4},{5}]=>[1,3,6,2,4,5]
[1,3,1,4,1,3]=>[{1,3,5},{2,6},{4}]=>[1,3,5,2,6,4]
[1,3,1,4,3,1]=>[{1,3,6},{2,5},{4}]=>[1,3,6,2,5,4]
[1,3,3,1,1,4]=>[{1,4,5},{2,3},{6}]=>[1,4,5,2,3,6]
[1,3,3,1,4,1]=>[{1,4,6},{2,3},{5}]=>[1,4,6,2,3,5]
[1,3,3,4,1,1]=>[{1,5,6},{2,3},{4}]=>[1,5,6,2,3,4]
[1,3,4,1,1,3]=>[{1,4,5},{2,6},{3}]=>[1,4,5,2,6,3]
[1,3,4,1,3,1]=>[{1,4,6},{2,5},{3}]=>[1,4,6,2,5,3]
[1,3,4,3,1,1]=>[{1,5,6},{2,4},{3}]=>[1,5,6,2,4,3]
[1,4,1,1,3,3]=>[{1,3,4},{5,6},{2}]=>[1,3,4,5,6,2]
[1,4,1,3,1,3]=>[{1,3,5},{4,6},{2}]=>[1,3,5,4,6,2]
[1,4,1,3,3,1]=>[{1,3,6},{4,5},{2}]=>[1,3,6,4,5,2]
[1,4,3,1,1,3]=>[{1,4,5},{3,6},{2}]=>[1,4,5,3,6,2]
[1,4,3,1,3,1]=>[{1,4,6},{3,5},{2}]=>[1,4,6,3,5,2]
[1,4,3,3,1,1]=>[{1,5,6},{3,4},{2}]=>[1,5,6,3,4,2]
[3,1,1,1,3,4]=>[{2,3,4},{1,5},{6}]=>[2,3,4,1,5,6]
[3,1,1,1,4,3]=>[{2,3,4},{1,6},{5}]=>[2,3,4,1,6,5]
[3,1,1,3,1,4]=>[{2,3,5},{1,4},{6}]=>[2,3,5,1,4,6]
[3,1,1,3,4,1]=>[{2,3,6},{1,4},{5}]=>[2,3,6,1,4,5]
[3,1,1,4,1,3]=>[{2,3,5},{1,6},{4}]=>[2,3,5,1,6,4]
[3,1,1,4,3,1]=>[{2,3,6},{1,5},{4}]=>[2,3,6,1,5,4]
[3,1,3,1,1,4]=>[{2,4,5},{1,3},{6}]=>[2,4,5,1,3,6]
[3,1,3,1,4,1]=>[{2,4,6},{1,3},{5}]=>[2,4,6,1,3,5]
[3,1,3,4,1,1]=>[{2,5,6},{1,3},{4}]=>[2,5,6,1,3,4]
[3,1,4,1,1,3]=>[{2,4,5},{1,6},{3}]=>[2,4,5,1,6,3]
[3,1,4,1,3,1]=>[{2,4,6},{1,5},{3}]=>[2,4,6,1,5,3]
[3,1,4,3,1,1]=>[{2,5,6},{1,4},{3}]=>[2,5,6,1,4,3]
[3,3,1,1,1,4]=>[{3,4,5},{1,2},{6}]=>[3,4,5,1,2,6]
[3,3,1,1,4,1]=>[{3,4,6},{1,2},{5}]=>[3,4,6,1,2,5]
[3,3,1,4,1,1]=>[{3,5,6},{1,2},{4}]=>[3,5,6,1,2,4]
[3,3,4,1,1,1]=>[{4,5,6},{1,2},{3}]=>[4,5,6,1,2,3]
[3,4,1,1,1,3]=>[{3,4,5},{1,6},{2}]=>[3,4,5,1,6,2]
[3,4,1,1,3,1]=>[{3,4,6},{1,5},{2}]=>[3,4,6,1,5,2]
[3,4,1,3,1,1]=>[{3,5,6},{1,4},{2}]=>[3,5,6,1,4,2]
[3,4,3,1,1,1]=>[{4,5,6},{1,3},{2}]=>[4,5,6,1,3,2]
[4,1,1,1,3,3]=>[{2,3,4},{5,6},{1}]=>[2,3,4,5,6,1]
[4,1,1,3,1,3]=>[{2,3,5},{4,6},{1}]=>[2,3,5,4,6,1]
[4,1,1,3,3,1]=>[{2,3,6},{4,5},{1}]=>[2,3,6,4,5,1]
[4,1,3,1,1,3]=>[{2,4,5},{3,6},{1}]=>[2,4,5,3,6,1]
[4,1,3,1,3,1]=>[{2,4,6},{3,5},{1}]=>[2,4,6,3,5,1]
[4,1,3,3,1,1]=>[{2,5,6},{3,4},{1}]=>[2,5,6,3,4,1]
[4,3,1,1,1,3]=>[{3,4,5},{2,6},{1}]=>[3,4,5,2,6,1]
[4,3,1,1,3,1]=>[{3,4,6},{2,5},{1}]=>[3,4,6,2,5,1]
[4,3,1,3,1,1]=>[{3,5,6},{2,4},{1}]=>[3,5,6,2,4,1]
[4,3,3,1,1,1]=>[{4,5,6},{2,3},{1}]=>[4,5,6,2,3,1]
[1,1,1,3,3,5]=>[{1,2,3},{4,5},{6}]=>[1,2,3,4,5,6]
[1,1,1,3,5,3]=>[{1,2,3},{4,6},{5}]=>[1,2,3,4,6,5]
[1,1,1,5,3,3]=>[{1,2,3},{5,6},{4}]=>[1,2,3,5,6,4]
[1,1,3,1,3,5]=>[{1,2,4},{3,5},{6}]=>[1,2,4,3,5,6]
[1,1,3,1,5,3]=>[{1,2,4},{3,6},{5}]=>[1,2,4,3,6,5]
[1,1,3,3,1,5]=>[{1,2,5},{3,4},{6}]=>[1,2,5,3,4,6]
[1,1,3,3,5,1]=>[{1,2,6},{3,4},{5}]=>[1,2,6,3,4,5]
[1,1,3,5,1,3]=>[{1,2,5},{3,6},{4}]=>[1,2,5,3,6,4]
[1,1,3,5,3,1]=>[{1,2,6},{3,5},{4}]=>[1,2,6,3,5,4]
[1,1,5,1,3,3]=>[{1,2,4},{5,6},{3}]=>[1,2,4,5,6,3]
[1,1,5,3,1,3]=>[{1,2,5},{4,6},{3}]=>[1,2,5,4,6,3]
[1,1,5,3,3,1]=>[{1,2,6},{4,5},{3}]=>[1,2,6,4,5,3]
[1,3,1,1,3,5]=>[{1,3,4},{2,5},{6}]=>[1,3,4,2,5,6]
[1,3,1,1,5,3]=>[{1,3,4},{2,6},{5}]=>[1,3,4,2,6,5]
[1,3,1,3,1,5]=>[{1,3,5},{2,4},{6}]=>[1,3,5,2,4,6]
[1,3,1,3,5,1]=>[{1,3,6},{2,4},{5}]=>[1,3,6,2,4,5]
[1,3,1,5,1,3]=>[{1,3,5},{2,6},{4}]=>[1,3,5,2,6,4]
[1,3,1,5,3,1]=>[{1,3,6},{2,5},{4}]=>[1,3,6,2,5,4]
[1,3,3,1,1,5]=>[{1,4,5},{2,3},{6}]=>[1,4,5,2,3,6]
[1,3,3,1,5,1]=>[{1,4,6},{2,3},{5}]=>[1,4,6,2,3,5]
[1,3,3,5,1,1]=>[{1,5,6},{2,3},{4}]=>[1,5,6,2,3,4]
[1,3,5,1,1,3]=>[{1,4,5},{2,6},{3}]=>[1,4,5,2,6,3]
[1,3,5,1,3,1]=>[{1,4,6},{2,5},{3}]=>[1,4,6,2,5,3]
[1,3,5,3,1,1]=>[{1,5,6},{2,4},{3}]=>[1,5,6,2,4,3]
[1,5,1,1,3,3]=>[{1,3,4},{5,6},{2}]=>[1,3,4,5,6,2]
[1,5,1,3,1,3]=>[{1,3,5},{4,6},{2}]=>[1,3,5,4,6,2]
[1,5,1,3,3,1]=>[{1,3,6},{4,5},{2}]=>[1,3,6,4,5,2]
[1,5,3,1,1,3]=>[{1,4,5},{3,6},{2}]=>[1,4,5,3,6,2]
[1,5,3,1,3,1]=>[{1,4,6},{3,5},{2}]=>[1,4,6,3,5,2]
[1,5,3,3,1,1]=>[{1,5,6},{3,4},{2}]=>[1,5,6,3,4,2]
[3,1,1,1,3,5]=>[{2,3,4},{1,5},{6}]=>[2,3,4,1,5,6]
[3,1,1,1,5,3]=>[{2,3,4},{1,6},{5}]=>[2,3,4,1,6,5]
[3,1,1,3,1,5]=>[{2,3,5},{1,4},{6}]=>[2,3,5,1,4,6]
[3,1,1,3,5,1]=>[{2,3,6},{1,4},{5}]=>[2,3,6,1,4,5]
[3,1,1,5,1,3]=>[{2,3,5},{1,6},{4}]=>[2,3,5,1,6,4]
[3,1,1,5,3,1]=>[{2,3,6},{1,5},{4}]=>[2,3,6,1,5,4]
[3,1,3,1,1,5]=>[{2,4,5},{1,3},{6}]=>[2,4,5,1,3,6]
[3,1,3,1,5,1]=>[{2,4,6},{1,3},{5}]=>[2,4,6,1,3,5]
[3,1,3,5,1,1]=>[{2,5,6},{1,3},{4}]=>[2,5,6,1,3,4]
[3,1,5,1,1,3]=>[{2,4,5},{1,6},{3}]=>[2,4,5,1,6,3]
[3,1,5,1,3,1]=>[{2,4,6},{1,5},{3}]=>[2,4,6,1,5,3]
[3,1,5,3,1,1]=>[{2,5,6},{1,4},{3}]=>[2,5,6,1,4,3]
[3,3,1,1,1,5]=>[{3,4,5},{1,2},{6}]=>[3,4,5,1,2,6]
[3,3,1,1,5,1]=>[{3,4,6},{1,2},{5}]=>[3,4,6,1,2,5]
[3,3,1,5,1,1]=>[{3,5,6},{1,2},{4}]=>[3,5,6,1,2,4]
[3,3,5,1,1,1]=>[{4,5,6},{1,2},{3}]=>[4,5,6,1,2,3]
[3,5,1,1,1,3]=>[{3,4,5},{1,6},{2}]=>[3,4,5,1,6,2]
[3,5,1,1,3,1]=>[{3,4,6},{1,5},{2}]=>[3,4,6,1,5,2]
[3,5,1,3,1,1]=>[{3,5,6},{1,4},{2}]=>[3,5,6,1,4,2]
[3,5,3,1,1,1]=>[{4,5,6},{1,3},{2}]=>[4,5,6,1,3,2]
[5,1,1,1,3,3]=>[{2,3,4},{5,6},{1}]=>[2,3,4,5,6,1]
[5,1,1,3,1,3]=>[{2,3,5},{4,6},{1}]=>[2,3,5,4,6,1]
[5,1,1,3,3,1]=>[{2,3,6},{4,5},{1}]=>[2,3,6,4,5,1]
[5,1,3,1,1,3]=>[{2,4,5},{3,6},{1}]=>[2,4,5,3,6,1]
[5,1,3,1,3,1]=>[{2,4,6},{3,5},{1}]=>[2,4,6,3,5,1]
[5,1,3,3,1,1]=>[{2,5,6},{3,4},{1}]=>[2,5,6,3,4,1]
[5,3,1,1,1,3]=>[{3,4,5},{2,6},{1}]=>[3,4,5,2,6,1]
[5,3,1,1,3,1]=>[{3,4,6},{2,5},{1}]=>[3,4,6,2,5,1]
[5,3,1,3,1,1]=>[{3,5,6},{2,4},{1}]=>[3,5,6,2,4,1]
[5,3,3,1,1,1]=>[{4,5,6},{2,3},{1}]=>[4,5,6,2,3,1]
[1,1,1,3,3,6]=>[{1,2,3},{4,5},{6}]=>[1,2,3,4,5,6]
[1,1,1,3,6,3]=>[{1,2,3},{4,6},{5}]=>[1,2,3,4,6,5]
[1,1,1,6,3,3]=>[{1,2,3},{5,6},{4}]=>[1,2,3,5,6,4]
[1,1,3,1,3,6]=>[{1,2,4},{3,5},{6}]=>[1,2,4,3,5,6]
[1,1,3,1,6,3]=>[{1,2,4},{3,6},{5}]=>[1,2,4,3,6,5]
[1,1,3,3,1,6]=>[{1,2,5},{3,4},{6}]=>[1,2,5,3,4,6]
[1,1,3,3,6,1]=>[{1,2,6},{3,4},{5}]=>[1,2,6,3,4,5]
[1,1,3,6,1,3]=>[{1,2,5},{3,6},{4}]=>[1,2,5,3,6,4]
[1,1,3,6,3,1]=>[{1,2,6},{3,5},{4}]=>[1,2,6,3,5,4]
[1,1,6,1,3,3]=>[{1,2,4},{5,6},{3}]=>[1,2,4,5,6,3]
[1,1,6,3,1,3]=>[{1,2,5},{4,6},{3}]=>[1,2,5,4,6,3]
[1,1,6,3,3,1]=>[{1,2,6},{4,5},{3}]=>[1,2,6,4,5,3]
[1,3,1,1,3,6]=>[{1,3,4},{2,5},{6}]=>[1,3,4,2,5,6]
[1,3,1,1,6,3]=>[{1,3,4},{2,6},{5}]=>[1,3,4,2,6,5]
[1,3,1,3,1,6]=>[{1,3,5},{2,4},{6}]=>[1,3,5,2,4,6]
[1,3,1,3,6,1]=>[{1,3,6},{2,4},{5}]=>[1,3,6,2,4,5]
[1,3,1,6,1,3]=>[{1,3,5},{2,6},{4}]=>[1,3,5,2,6,4]
[1,3,1,6,3,1]=>[{1,3,6},{2,5},{4}]=>[1,3,6,2,5,4]
[1,3,3,1,1,6]=>[{1,4,5},{2,3},{6}]=>[1,4,5,2,3,6]
[1,3,3,1,6,1]=>[{1,4,6},{2,3},{5}]=>[1,4,6,2,3,5]
[1,3,3,6,1,1]=>[{1,5,6},{2,3},{4}]=>[1,5,6,2,3,4]
[1,3,6,1,1,3]=>[{1,4,5},{2,6},{3}]=>[1,4,5,2,6,3]
[1,3,6,1,3,1]=>[{1,4,6},{2,5},{3}]=>[1,4,6,2,5,3]
[1,3,6,3,1,1]=>[{1,5,6},{2,4},{3}]=>[1,5,6,2,4,3]
[1,6,1,1,3,3]=>[{1,3,4},{5,6},{2}]=>[1,3,4,5,6,2]
[1,6,1,3,1,3]=>[{1,3,5},{4,6},{2}]=>[1,3,5,4,6,2]
[1,6,1,3,3,1]=>[{1,3,6},{4,5},{2}]=>[1,3,6,4,5,2]
[1,6,3,1,1,3]=>[{1,4,5},{3,6},{2}]=>[1,4,5,3,6,2]
[1,6,3,1,3,1]=>[{1,4,6},{3,5},{2}]=>[1,4,6,3,5,2]
[1,6,3,3,1,1]=>[{1,5,6},{3,4},{2}]=>[1,5,6,3,4,2]
[3,1,1,1,3,6]=>[{2,3,4},{1,5},{6}]=>[2,3,4,1,5,6]
[3,1,1,1,6,3]=>[{2,3,4},{1,6},{5}]=>[2,3,4,1,6,5]
[3,1,1,3,1,6]=>[{2,3,5},{1,4},{6}]=>[2,3,5,1,4,6]
[3,1,1,3,6,1]=>[{2,3,6},{1,4},{5}]=>[2,3,6,1,4,5]
[3,1,1,6,1,3]=>[{2,3,5},{1,6},{4}]=>[2,3,5,1,6,4]
[3,1,1,6,3,1]=>[{2,3,6},{1,5},{4}]=>[2,3,6,1,5,4]
[3,1,3,1,1,6]=>[{2,4,5},{1,3},{6}]=>[2,4,5,1,3,6]
[3,1,3,1,6,1]=>[{2,4,6},{1,3},{5}]=>[2,4,6,1,3,5]
[3,1,3,6,1,1]=>[{2,5,6},{1,3},{4}]=>[2,5,6,1,3,4]
[3,1,6,1,1,3]=>[{2,4,5},{1,6},{3}]=>[2,4,5,1,6,3]
[3,1,6,1,3,1]=>[{2,4,6},{1,5},{3}]=>[2,4,6,1,5,3]
[3,1,6,3,1,1]=>[{2,5,6},{1,4},{3}]=>[2,5,6,1,4,3]
[3,3,1,1,1,6]=>[{3,4,5},{1,2},{6}]=>[3,4,5,1,2,6]
[3,3,1,1,6,1]=>[{3,4,6},{1,2},{5}]=>[3,4,6,1,2,5]
[3,3,1,6,1,1]=>[{3,5,6},{1,2},{4}]=>[3,5,6,1,2,4]
[3,3,6,1,1,1]=>[{4,5,6},{1,2},{3}]=>[4,5,6,1,2,3]
[3,6,1,1,1,3]=>[{3,4,5},{1,6},{2}]=>[3,4,5,1,6,2]
[3,6,1,1,3,1]=>[{3,4,6},{1,5},{2}]=>[3,4,6,1,5,2]
[3,6,1,3,1,1]=>[{3,5,6},{1,4},{2}]=>[3,5,6,1,4,2]
[3,6,3,1,1,1]=>[{4,5,6},{1,3},{2}]=>[4,5,6,1,3,2]
[6,1,1,1,3,3]=>[{2,3,4},{5,6},{1}]=>[2,3,4,5,6,1]
[6,1,1,3,1,3]=>[{2,3,5},{4,6},{1}]=>[2,3,5,4,6,1]
[6,1,1,3,3,1]=>[{2,3,6},{4,5},{1}]=>[2,3,6,4,5,1]
[6,1,3,1,1,3]=>[{2,4,5},{3,6},{1}]=>[2,4,5,3,6,1]
[6,1,3,1,3,1]=>[{2,4,6},{3,5},{1}]=>[2,4,6,3,5,1]
[6,1,3,3,1,1]=>[{2,5,6},{3,4},{1}]=>[2,5,6,3,4,1]
[6,3,1,1,1,3]=>[{3,4,5},{2,6},{1}]=>[3,4,5,2,6,1]
[6,3,1,1,3,1]=>[{3,4,6},{2,5},{1}]=>[3,4,6,2,5,1]
[6,3,1,3,1,1]=>[{3,5,6},{2,4},{1}]=>[3,5,6,2,4,1]
[6,3,3,1,1,1]=>[{4,5,6},{2,3},{1}]=>[4,5,6,2,3,1]
[1,1,1,3,4,4]=>[{1,2,3},{4},{5,6}]=>[1,2,3,4,5,6]
[1,1,1,4,3,4]=>[{1,2,3},{5},{4,6}]=>[1,2,3,5,4,6]
[1,1,1,4,4,3]=>[{1,2,3},{6},{4,5}]=>[1,2,3,6,4,5]
[1,1,3,1,4,4]=>[{1,2,4},{3},{5,6}]=>[1,2,4,3,5,6]
[1,1,3,4,1,4]=>[{1,2,5},{3},{4,6}]=>[1,2,5,3,4,6]
[1,1,3,4,4,1]=>[{1,2,6},{3},{4,5}]=>[1,2,6,3,4,5]
[1,1,4,1,3,4]=>[{1,2,4},{5},{3,6}]=>[1,2,4,5,3,6]
[1,1,4,1,4,3]=>[{1,2,4},{6},{3,5}]=>[1,2,4,6,3,5]
[1,1,4,3,1,4]=>[{1,2,5},{4},{3,6}]=>[1,2,5,4,3,6]
[1,1,4,3,4,1]=>[{1,2,6},{4},{3,5}]=>[1,2,6,4,3,5]
[1,1,4,4,1,3]=>[{1,2,5},{6},{3,4}]=>[1,2,5,6,3,4]
[1,1,4,4,3,1]=>[{1,2,6},{5},{3,4}]=>[1,2,6,5,3,4]
[1,3,1,1,4,4]=>[{1,3,4},{2},{5,6}]=>[1,3,4,2,5,6]
[1,3,1,4,1,4]=>[{1,3,5},{2},{4,6}]=>[1,3,5,2,4,6]
[1,3,1,4,4,1]=>[{1,3,6},{2},{4,5}]=>[1,3,6,2,4,5]
[1,3,4,1,1,4]=>[{1,4,5},{2},{3,6}]=>[1,4,5,2,3,6]
[1,3,4,1,4,1]=>[{1,4,6},{2},{3,5}]=>[1,4,6,2,3,5]
[1,3,4,4,1,1]=>[{1,5,6},{2},{3,4}]=>[1,5,6,2,3,4]
[1,4,1,1,3,4]=>[{1,3,4},{5},{2,6}]=>[1,3,4,5,2,6]
[1,4,1,1,4,3]=>[{1,3,4},{6},{2,5}]=>[1,3,4,6,2,5]
[1,4,1,3,1,4]=>[{1,3,5},{4},{2,6}]=>[1,3,5,4,2,6]
[1,4,1,3,4,1]=>[{1,3,6},{4},{2,5}]=>[1,3,6,4,2,5]
[1,4,1,4,1,3]=>[{1,3,5},{6},{2,4}]=>[1,3,5,6,2,4]
[1,4,1,4,3,1]=>[{1,3,6},{5},{2,4}]=>[1,3,6,5,2,4]
[1,4,3,1,1,4]=>[{1,4,5},{3},{2,6}]=>[1,4,5,3,2,6]
[1,4,3,1,4,1]=>[{1,4,6},{3},{2,5}]=>[1,4,6,3,2,5]
[1,4,3,4,1,1]=>[{1,5,6},{3},{2,4}]=>[1,5,6,3,2,4]
[1,4,4,1,1,3]=>[{1,4,5},{6},{2,3}]=>[1,4,5,6,2,3]
[1,4,4,1,3,1]=>[{1,4,6},{5},{2,3}]=>[1,4,6,5,2,3]
[1,4,4,3,1,1]=>[{1,5,6},{4},{2,3}]=>[1,5,6,4,2,3]
[3,1,1,1,4,4]=>[{2,3,4},{1},{5,6}]=>[2,3,4,1,5,6]
[3,1,1,4,1,4]=>[{2,3,5},{1},{4,6}]=>[2,3,5,1,4,6]
[3,1,1,4,4,1]=>[{2,3,6},{1},{4,5}]=>[2,3,6,1,4,5]
[3,1,4,1,1,4]=>[{2,4,5},{1},{3,6}]=>[2,4,5,1,3,6]
[3,1,4,1,4,1]=>[{2,4,6},{1},{3,5}]=>[2,4,6,1,3,5]
[3,1,4,4,1,1]=>[{2,5,6},{1},{3,4}]=>[2,5,6,1,3,4]
[3,4,1,1,1,4]=>[{3,4,5},{1},{2,6}]=>[3,4,5,1,2,6]
[3,4,1,1,4,1]=>[{3,4,6},{1},{2,5}]=>[3,4,6,1,2,5]
[3,4,1,4,1,1]=>[{3,5,6},{1},{2,4}]=>[3,5,6,1,2,4]
[3,4,4,1,1,1]=>[{4,5,6},{1},{2,3}]=>[4,5,6,1,2,3]
[4,1,1,1,3,4]=>[{2,3,4},{5},{1,6}]=>[2,3,4,5,1,6]
[4,1,1,1,4,3]=>[{2,3,4},{6},{1,5}]=>[2,3,4,6,1,5]
[4,1,1,3,1,4]=>[{2,3,5},{4},{1,6}]=>[2,3,5,4,1,6]
[4,1,1,3,4,1]=>[{2,3,6},{4},{1,5}]=>[2,3,6,4,1,5]
[4,1,1,4,1,3]=>[{2,3,5},{6},{1,4}]=>[2,3,5,6,1,4]
[4,1,1,4,3,1]=>[{2,3,6},{5},{1,4}]=>[2,3,6,5,1,4]
[4,1,3,1,1,4]=>[{2,4,5},{3},{1,6}]=>[2,4,5,3,1,6]
[4,1,3,1,4,1]=>[{2,4,6},{3},{1,5}]=>[2,4,6,3,1,5]
[4,1,3,4,1,1]=>[{2,5,6},{3},{1,4}]=>[2,5,6,3,1,4]
[4,1,4,1,1,3]=>[{2,4,5},{6},{1,3}]=>[2,4,5,6,1,3]
[4,1,4,1,3,1]=>[{2,4,6},{5},{1,3}]=>[2,4,6,5,1,3]
[4,1,4,3,1,1]=>[{2,5,6},{4},{1,3}]=>[2,5,6,4,1,3]
[4,3,1,1,1,4]=>[{3,4,5},{2},{1,6}]=>[3,4,5,2,1,6]
[4,3,1,1,4,1]=>[{3,4,6},{2},{1,5}]=>[3,4,6,2,1,5]
[4,3,1,4,1,1]=>[{3,5,6},{2},{1,4}]=>[3,5,6,2,1,4]
[4,3,4,1,1,1]=>[{4,5,6},{2},{1,3}]=>[4,5,6,2,1,3]
[4,4,1,1,1,3]=>[{3,4,5},{6},{1,2}]=>[3,4,5,6,1,2]
[4,4,1,1,3,1]=>[{3,4,6},{5},{1,2}]=>[3,4,6,5,1,2]
[4,4,1,3,1,1]=>[{3,5,6},{4},{1,2}]=>[3,5,6,4,1,2]
[4,4,3,1,1,1]=>[{4,5,6},{3},{1,2}]=>[4,5,6,3,1,2]
[1,1,1,3,4,5]=>[{1,2,3},{4},{5},{6}]=>[1,2,3,4,5,6]
[1,1,1,3,5,4]=>[{1,2,3},{4},{6},{5}]=>[1,2,3,4,6,5]
[1,1,1,4,3,5]=>[{1,2,3},{5},{4},{6}]=>[1,2,3,5,4,6]
[1,1,1,4,5,3]=>[{1,2,3},{6},{4},{5}]=>[1,2,3,6,4,5]
[1,1,1,5,3,4]=>[{1,2,3},{5},{6},{4}]=>[1,2,3,5,6,4]
[1,1,1,5,4,3]=>[{1,2,3},{6},{5},{4}]=>[1,2,3,6,5,4]
[1,1,3,1,4,5]=>[{1,2,4},{3},{5},{6}]=>[1,2,4,3,5,6]
[1,1,3,1,5,4]=>[{1,2,4},{3},{6},{5}]=>[1,2,4,3,6,5]
[1,1,3,4,1,5]=>[{1,2,5},{3},{4},{6}]=>[1,2,5,3,4,6]
[1,1,3,4,5,1]=>[{1,2,6},{3},{4},{5}]=>[1,2,6,3,4,5]
[1,1,3,5,1,4]=>[{1,2,5},{3},{6},{4}]=>[1,2,5,3,6,4]
[1,1,3,5,4,1]=>[{1,2,6},{3},{5},{4}]=>[1,2,6,3,5,4]
[1,1,4,1,3,5]=>[{1,2,4},{5},{3},{6}]=>[1,2,4,5,3,6]
[1,1,4,1,5,3]=>[{1,2,4},{6},{3},{5}]=>[1,2,4,6,3,5]
[1,1,4,3,1,5]=>[{1,2,5},{4},{3},{6}]=>[1,2,5,4,3,6]
[1,1,4,3,5,1]=>[{1,2,6},{4},{3},{5}]=>[1,2,6,4,3,5]
[1,1,4,5,1,3]=>[{1,2,5},{6},{3},{4}]=>[1,2,5,6,3,4]
[1,1,4,5,3,1]=>[{1,2,6},{5},{3},{4}]=>[1,2,6,5,3,4]
[1,1,5,1,3,4]=>[{1,2,4},{5},{6},{3}]=>[1,2,4,5,6,3]
[1,1,5,1,4,3]=>[{1,2,4},{6},{5},{3}]=>[1,2,4,6,5,3]
[1,1,5,3,1,4]=>[{1,2,5},{4},{6},{3}]=>[1,2,5,4,6,3]
[1,1,5,3,4,1]=>[{1,2,6},{4},{5},{3}]=>[1,2,6,4,5,3]
[1,1,5,4,1,3]=>[{1,2,5},{6},{4},{3}]=>[1,2,5,6,4,3]
[1,1,5,4,3,1]=>[{1,2,6},{5},{4},{3}]=>[1,2,6,5,4,3]
[1,3,1,1,4,5]=>[{1,3,4},{2},{5},{6}]=>[1,3,4,2,5,6]
[1,3,1,1,5,4]=>[{1,3,4},{2},{6},{5}]=>[1,3,4,2,6,5]
[1,3,1,4,1,5]=>[{1,3,5},{2},{4},{6}]=>[1,3,5,2,4,6]
[1,3,1,4,5,1]=>[{1,3,6},{2},{4},{5}]=>[1,3,6,2,4,5]
[1,3,1,5,1,4]=>[{1,3,5},{2},{6},{4}]=>[1,3,5,2,6,4]
[1,3,1,5,4,1]=>[{1,3,6},{2},{5},{4}]=>[1,3,6,2,5,4]
[1,3,4,1,1,5]=>[{1,4,5},{2},{3},{6}]=>[1,4,5,2,3,6]
[1,3,4,1,5,1]=>[{1,4,6},{2},{3},{5}]=>[1,4,6,2,3,5]
[1,3,4,5,1,1]=>[{1,5,6},{2},{3},{4}]=>[1,5,6,2,3,4]
[1,3,5,1,1,4]=>[{1,4,5},{2},{6},{3}]=>[1,4,5,2,6,3]
[1,3,5,1,4,1]=>[{1,4,6},{2},{5},{3}]=>[1,4,6,2,5,3]
[1,3,5,4,1,1]=>[{1,5,6},{2},{4},{3}]=>[1,5,6,2,4,3]
[1,4,1,1,3,5]=>[{1,3,4},{5},{2},{6}]=>[1,3,4,5,2,6]
[1,4,1,1,5,3]=>[{1,3,4},{6},{2},{5}]=>[1,3,4,6,2,5]
[1,4,1,3,1,5]=>[{1,3,5},{4},{2},{6}]=>[1,3,5,4,2,6]
[1,4,1,3,5,1]=>[{1,3,6},{4},{2},{5}]=>[1,3,6,4,2,5]
[1,4,1,5,1,3]=>[{1,3,5},{6},{2},{4}]=>[1,3,5,6,2,4]
[1,4,1,5,3,1]=>[{1,3,6},{5},{2},{4}]=>[1,3,6,5,2,4]
[1,4,3,1,1,5]=>[{1,4,5},{3},{2},{6}]=>[1,4,5,3,2,6]
[1,4,3,1,5,1]=>[{1,4,6},{3},{2},{5}]=>[1,4,6,3,2,5]
[1,4,3,5,1,1]=>[{1,5,6},{3},{2},{4}]=>[1,5,6,3,2,4]
[1,4,5,1,1,3]=>[{1,4,5},{6},{2},{3}]=>[1,4,5,6,2,3]
[1,4,5,1,3,1]=>[{1,4,6},{5},{2},{3}]=>[1,4,6,5,2,3]
[1,4,5,3,1,1]=>[{1,5,6},{4},{2},{3}]=>[1,5,6,4,2,3]
[1,5,1,1,3,4]=>[{1,3,4},{5},{6},{2}]=>[1,3,4,5,6,2]
[1,5,1,1,4,3]=>[{1,3,4},{6},{5},{2}]=>[1,3,4,6,5,2]
[1,5,1,3,1,4]=>[{1,3,5},{4},{6},{2}]=>[1,3,5,4,6,2]
[1,5,1,3,4,1]=>[{1,3,6},{4},{5},{2}]=>[1,3,6,4,5,2]
[1,5,1,4,1,3]=>[{1,3,5},{6},{4},{2}]=>[1,3,5,6,4,2]
[1,5,1,4,3,1]=>[{1,3,6},{5},{4},{2}]=>[1,3,6,5,4,2]
[1,5,3,1,1,4]=>[{1,4,5},{3},{6},{2}]=>[1,4,5,3,6,2]
[1,5,3,1,4,1]=>[{1,4,6},{3},{5},{2}]=>[1,4,6,3,5,2]
[1,5,3,4,1,1]=>[{1,5,6},{3},{4},{2}]=>[1,5,6,3,4,2]
[1,5,4,1,1,3]=>[{1,4,5},{6},{3},{2}]=>[1,4,5,6,3,2]
[1,5,4,1,3,1]=>[{1,4,6},{5},{3},{2}]=>[1,4,6,5,3,2]
[1,5,4,3,1,1]=>[{1,5,6},{4},{3},{2}]=>[1,5,6,4,3,2]
[3,1,1,1,4,5]=>[{2,3,4},{1},{5},{6}]=>[2,3,4,1,5,6]
[3,1,1,1,5,4]=>[{2,3,4},{1},{6},{5}]=>[2,3,4,1,6,5]
[3,1,1,4,1,5]=>[{2,3,5},{1},{4},{6}]=>[2,3,5,1,4,6]
[3,1,1,4,5,1]=>[{2,3,6},{1},{4},{5}]=>[2,3,6,1,4,5]
[3,1,1,5,1,4]=>[{2,3,5},{1},{6},{4}]=>[2,3,5,1,6,4]
[3,1,1,5,4,1]=>[{2,3,6},{1},{5},{4}]=>[2,3,6,1,5,4]
[3,1,4,1,1,5]=>[{2,4,5},{1},{3},{6}]=>[2,4,5,1,3,6]
[3,1,4,1,5,1]=>[{2,4,6},{1},{3},{5}]=>[2,4,6,1,3,5]
[3,1,4,5,1,1]=>[{2,5,6},{1},{3},{4}]=>[2,5,6,1,3,4]
[3,1,5,1,1,4]=>[{2,4,5},{1},{6},{3}]=>[2,4,5,1,6,3]
[3,1,5,1,4,1]=>[{2,4,6},{1},{5},{3}]=>[2,4,6,1,5,3]
[3,1,5,4,1,1]=>[{2,5,6},{1},{4},{3}]=>[2,5,6,1,4,3]
[3,4,1,1,1,5]=>[{3,4,5},{1},{2},{6}]=>[3,4,5,1,2,6]
[3,4,1,1,5,1]=>[{3,4,6},{1},{2},{5}]=>[3,4,6,1,2,5]
[3,4,1,5,1,1]=>[{3,5,6},{1},{2},{4}]=>[3,5,6,1,2,4]
[3,4,5,1,1,1]=>[{4,5,6},{1},{2},{3}]=>[4,5,6,1,2,3]
[3,5,1,1,1,4]=>[{3,4,5},{1},{6},{2}]=>[3,4,5,1,6,2]
[3,5,1,1,4,1]=>[{3,4,6},{1},{5},{2}]=>[3,4,6,1,5,2]
[3,5,1,4,1,1]=>[{3,5,6},{1},{4},{2}]=>[3,5,6,1,4,2]
[3,5,4,1,1,1]=>[{4,5,6},{1},{3},{2}]=>[4,5,6,1,3,2]
[4,1,1,1,3,5]=>[{2,3,4},{5},{1},{6}]=>[2,3,4,5,1,6]
[4,1,1,1,5,3]=>[{2,3,4},{6},{1},{5}]=>[2,3,4,6,1,5]
[4,1,1,3,1,5]=>[{2,3,5},{4},{1},{6}]=>[2,3,5,4,1,6]
[4,1,1,3,5,1]=>[{2,3,6},{4},{1},{5}]=>[2,3,6,4,1,5]
[4,1,1,5,1,3]=>[{2,3,5},{6},{1},{4}]=>[2,3,5,6,1,4]
[4,1,1,5,3,1]=>[{2,3,6},{5},{1},{4}]=>[2,3,6,5,1,4]
[4,1,3,1,1,5]=>[{2,4,5},{3},{1},{6}]=>[2,4,5,3,1,6]
[4,1,3,1,5,1]=>[{2,4,6},{3},{1},{5}]=>[2,4,6,3,1,5]
[4,1,3,5,1,1]=>[{2,5,6},{3},{1},{4}]=>[2,5,6,3,1,4]
[4,1,5,1,1,3]=>[{2,4,5},{6},{1},{3}]=>[2,4,5,6,1,3]
[4,1,5,1,3,1]=>[{2,4,6},{5},{1},{3}]=>[2,4,6,5,1,3]
[4,1,5,3,1,1]=>[{2,5,6},{4},{1},{3}]=>[2,5,6,4,1,3]
[4,3,1,1,1,5]=>[{3,4,5},{2},{1},{6}]=>[3,4,5,2,1,6]
[4,3,1,1,5,1]=>[{3,4,6},{2},{1},{5}]=>[3,4,6,2,1,5]
[4,3,1,5,1,1]=>[{3,5,6},{2},{1},{4}]=>[3,5,6,2,1,4]
[4,3,5,1,1,1]=>[{4,5,6},{2},{1},{3}]=>[4,5,6,2,1,3]
[4,5,1,1,1,3]=>[{3,4,5},{6},{1},{2}]=>[3,4,5,6,1,2]
[4,5,1,1,3,1]=>[{3,4,6},{5},{1},{2}]=>[3,4,6,5,1,2]
[4,5,1,3,1,1]=>[{3,5,6},{4},{1},{2}]=>[3,5,6,4,1,2]
[4,5,3,1,1,1]=>[{4,5,6},{3},{1},{2}]=>[4,5,6,3,1,2]
[5,1,1,1,3,4]=>[{2,3,4},{5},{6},{1}]=>[2,3,4,5,6,1]
[5,1,1,1,4,3]=>[{2,3,4},{6},{5},{1}]=>[2,3,4,6,5,1]
[5,1,1,3,1,4]=>[{2,3,5},{4},{6},{1}]=>[2,3,5,4,6,1]
[5,1,1,3,4,1]=>[{2,3,6},{4},{5},{1}]=>[2,3,6,4,5,1]
[5,1,1,4,1,3]=>[{2,3,5},{6},{4},{1}]=>[2,3,5,6,4,1]
[5,1,1,4,3,1]=>[{2,3,6},{5},{4},{1}]=>[2,3,6,5,4,1]
[5,1,3,1,1,4]=>[{2,4,5},{3},{6},{1}]=>[2,4,5,3,6,1]
[5,1,3,1,4,1]=>[{2,4,6},{3},{5},{1}]=>[2,4,6,3,5,1]
[5,1,3,4,1,1]=>[{2,5,6},{3},{4},{1}]=>[2,5,6,3,4,1]
[5,1,4,1,1,3]=>[{2,4,5},{6},{3},{1}]=>[2,4,5,6,3,1]
[5,1,4,1,3,1]=>[{2,4,6},{5},{3},{1}]=>[2,4,6,5,3,1]
[5,1,4,3,1,1]=>[{2,5,6},{4},{3},{1}]=>[2,5,6,4,3,1]
[5,3,1,1,1,4]=>[{3,4,5},{2},{6},{1}]=>[3,4,5,2,6,1]
[5,3,1,1,4,1]=>[{3,4,6},{2},{5},{1}]=>[3,4,6,2,5,1]
[5,3,1,4,1,1]=>[{3,5,6},{2},{4},{1}]=>[3,5,6,2,4,1]
[5,3,4,1,1,1]=>[{4,5,6},{2},{3},{1}]=>[4,5,6,2,3,1]
[5,4,1,1,1,3]=>[{3,4,5},{6},{2},{1}]=>[3,4,5,6,2,1]
[5,4,1,1,3,1]=>[{3,4,6},{5},{2},{1}]=>[3,4,6,5,2,1]
[5,4,1,3,1,1]=>[{3,5,6},{4},{2},{1}]=>[3,5,6,4,2,1]
[5,4,3,1,1,1]=>[{4,5,6},{3},{2},{1}]=>[4,5,6,3,2,1]
[1,1,1,3,4,6]=>[{1,2,3},{4},{5},{6}]=>[1,2,3,4,5,6]
[1,1,1,3,6,4]=>[{1,2,3},{4},{6},{5}]=>[1,2,3,4,6,5]
[1,1,1,4,3,6]=>[{1,2,3},{5},{4},{6}]=>[1,2,3,5,4,6]
[1,1,1,4,6,3]=>[{1,2,3},{6},{4},{5}]=>[1,2,3,6,4,5]
[1,1,1,6,3,4]=>[{1,2,3},{5},{6},{4}]=>[1,2,3,5,6,4]
[1,1,1,6,4,3]=>[{1,2,3},{6},{5},{4}]=>[1,2,3,6,5,4]
[1,1,3,1,4,6]=>[{1,2,4},{3},{5},{6}]=>[1,2,4,3,5,6]
[1,1,3,1,6,4]=>[{1,2,4},{3},{6},{5}]=>[1,2,4,3,6,5]
[1,1,3,4,1,6]=>[{1,2,5},{3},{4},{6}]=>[1,2,5,3,4,6]
[1,1,3,4,6,1]=>[{1,2,6},{3},{4},{5}]=>[1,2,6,3,4,5]
[1,1,3,6,1,4]=>[{1,2,5},{3},{6},{4}]=>[1,2,5,3,6,4]
[1,1,3,6,4,1]=>[{1,2,6},{3},{5},{4}]=>[1,2,6,3,5,4]
[1,1,4,1,3,6]=>[{1,2,4},{5},{3},{6}]=>[1,2,4,5,3,6]
[1,1,4,1,6,3]=>[{1,2,4},{6},{3},{5}]=>[1,2,4,6,3,5]
[1,1,4,3,1,6]=>[{1,2,5},{4},{3},{6}]=>[1,2,5,4,3,6]
[1,1,4,3,6,1]=>[{1,2,6},{4},{3},{5}]=>[1,2,6,4,3,5]
[1,1,4,6,1,3]=>[{1,2,5},{6},{3},{4}]=>[1,2,5,6,3,4]
[1,1,4,6,3,1]=>[{1,2,6},{5},{3},{4}]=>[1,2,6,5,3,4]
[1,1,6,1,3,4]=>[{1,2,4},{5},{6},{3}]=>[1,2,4,5,6,3]
[1,1,6,1,4,3]=>[{1,2,4},{6},{5},{3}]=>[1,2,4,6,5,3]
[1,1,6,3,1,4]=>[{1,2,5},{4},{6},{3}]=>[1,2,5,4,6,3]
[1,1,6,3,4,1]=>[{1,2,6},{4},{5},{3}]=>[1,2,6,4,5,3]
[1,1,6,4,1,3]=>[{1,2,5},{6},{4},{3}]=>[1,2,5,6,4,3]
[1,1,6,4,3,1]=>[{1,2,6},{5},{4},{3}]=>[1,2,6,5,4,3]
[1,3,1,1,4,6]=>[{1,3,4},{2},{5},{6}]=>[1,3,4,2,5,6]
[1,3,1,1,6,4]=>[{1,3,4},{2},{6},{5}]=>[1,3,4,2,6,5]
[1,3,1,4,1,6]=>[{1,3,5},{2},{4},{6}]=>[1,3,5,2,4,6]
[1,3,1,4,6,1]=>[{1,3,6},{2},{4},{5}]=>[1,3,6,2,4,5]
[1,3,1,6,1,4]=>[{1,3,5},{2},{6},{4}]=>[1,3,5,2,6,4]
[1,3,1,6,4,1]=>[{1,3,6},{2},{5},{4}]=>[1,3,6,2,5,4]
[1,3,4,1,1,6]=>[{1,4,5},{2},{3},{6}]=>[1,4,5,2,3,6]
[1,3,4,1,6,1]=>[{1,4,6},{2},{3},{5}]=>[1,4,6,2,3,5]
[1,3,4,6,1,1]=>[{1,5,6},{2},{3},{4}]=>[1,5,6,2,3,4]
[1,3,6,1,1,4]=>[{1,4,5},{2},{6},{3}]=>[1,4,5,2,6,3]
[1,3,6,1,4,1]=>[{1,4,6},{2},{5},{3}]=>[1,4,6,2,5,3]
[1,3,6,4,1,1]=>[{1,5,6},{2},{4},{3}]=>[1,5,6,2,4,3]
[1,4,1,1,3,6]=>[{1,3,4},{5},{2},{6}]=>[1,3,4,5,2,6]
[1,4,1,1,6,3]=>[{1,3,4},{6},{2},{5}]=>[1,3,4,6,2,5]
[1,4,1,3,1,6]=>[{1,3,5},{4},{2},{6}]=>[1,3,5,4,2,6]
[1,4,1,3,6,1]=>[{1,3,6},{4},{2},{5}]=>[1,3,6,4,2,5]
[1,4,1,6,1,3]=>[{1,3,5},{6},{2},{4}]=>[1,3,5,6,2,4]
[1,4,1,6,3,1]=>[{1,3,6},{5},{2},{4}]=>[1,3,6,5,2,4]
[1,4,3,1,1,6]=>[{1,4,5},{3},{2},{6}]=>[1,4,5,3,2,6]
[1,4,3,1,6,1]=>[{1,4,6},{3},{2},{5}]=>[1,4,6,3,2,5]
[1,4,3,6,1,1]=>[{1,5,6},{3},{2},{4}]=>[1,5,6,3,2,4]
[1,4,6,1,1,3]=>[{1,4,5},{6},{2},{3}]=>[1,4,5,6,2,3]
[1,4,6,1,3,1]=>[{1,4,6},{5},{2},{3}]=>[1,4,6,5,2,3]
[1,4,6,3,1,1]=>[{1,5,6},{4},{2},{3}]=>[1,5,6,4,2,3]
[1,6,1,1,3,4]=>[{1,3,4},{5},{6},{2}]=>[1,3,4,5,6,2]
[1,6,1,1,4,3]=>[{1,3,4},{6},{5},{2}]=>[1,3,4,6,5,2]
[1,6,1,3,1,4]=>[{1,3,5},{4},{6},{2}]=>[1,3,5,4,6,2]
[1,6,1,3,4,1]=>[{1,3,6},{4},{5},{2}]=>[1,3,6,4,5,2]
[1,6,1,4,1,3]=>[{1,3,5},{6},{4},{2}]=>[1,3,5,6,4,2]
[1,6,1,4,3,1]=>[{1,3,6},{5},{4},{2}]=>[1,3,6,5,4,2]
[1,6,3,1,1,4]=>[{1,4,5},{3},{6},{2}]=>[1,4,5,3,6,2]
[1,6,3,1,4,1]=>[{1,4,6},{3},{5},{2}]=>[1,4,6,3,5,2]
[1,6,3,4,1,1]=>[{1,5,6},{3},{4},{2}]=>[1,5,6,3,4,2]
[1,6,4,1,1,3]=>[{1,4,5},{6},{3},{2}]=>[1,4,5,6,3,2]
[1,6,4,1,3,1]=>[{1,4,6},{5},{3},{2}]=>[1,4,6,5,3,2]
[1,6,4,3,1,1]=>[{1,5,6},{4},{3},{2}]=>[1,5,6,4,3,2]
[3,1,1,1,4,6]=>[{2,3,4},{1},{5},{6}]=>[2,3,4,1,5,6]
[3,1,1,1,6,4]=>[{2,3,4},{1},{6},{5}]=>[2,3,4,1,6,5]
[3,1,1,4,1,6]=>[{2,3,5},{1},{4},{6}]=>[2,3,5,1,4,6]
[3,1,1,4,6,1]=>[{2,3,6},{1},{4},{5}]=>[2,3,6,1,4,5]
[3,1,1,6,1,4]=>[{2,3,5},{1},{6},{4}]=>[2,3,5,1,6,4]
[3,1,1,6,4,1]=>[{2,3,6},{1},{5},{4}]=>[2,3,6,1,5,4]
[3,1,4,1,1,6]=>[{2,4,5},{1},{3},{6}]=>[2,4,5,1,3,6]
[3,1,4,1,6,1]=>[{2,4,6},{1},{3},{5}]=>[2,4,6,1,3,5]
[3,1,4,6,1,1]=>[{2,5,6},{1},{3},{4}]=>[2,5,6,1,3,4]
[3,1,6,1,1,4]=>[{2,4,5},{1},{6},{3}]=>[2,4,5,1,6,3]
[3,1,6,1,4,1]=>[{2,4,6},{1},{5},{3}]=>[2,4,6,1,5,3]
[3,1,6,4,1,1]=>[{2,5,6},{1},{4},{3}]=>[2,5,6,1,4,3]
[3,4,1,1,1,6]=>[{3,4,5},{1},{2},{6}]=>[3,4,5,1,2,6]
[3,4,1,1,6,1]=>[{3,4,6},{1},{2},{5}]=>[3,4,6,1,2,5]
[3,4,1,6,1,1]=>[{3,5,6},{1},{2},{4}]=>[3,5,6,1,2,4]
[3,4,6,1,1,1]=>[{4,5,6},{1},{2},{3}]=>[4,5,6,1,2,3]
[3,6,1,1,1,4]=>[{3,4,5},{1},{6},{2}]=>[3,4,5,1,6,2]
[3,6,1,1,4,1]=>[{3,4,6},{1},{5},{2}]=>[3,4,6,1,5,2]
[3,6,1,4,1,1]=>[{3,5,6},{1},{4},{2}]=>[3,5,6,1,4,2]
[3,6,4,1,1,1]=>[{4,5,6},{1},{3},{2}]=>[4,5,6,1,3,2]
[4,1,1,1,3,6]=>[{2,3,4},{5},{1},{6}]=>[2,3,4,5,1,6]
[4,1,1,1,6,3]=>[{2,3,4},{6},{1},{5}]=>[2,3,4,6,1,5]
[4,1,1,3,1,6]=>[{2,3,5},{4},{1},{6}]=>[2,3,5,4,1,6]
[4,1,1,3,6,1]=>[{2,3,6},{4},{1},{5}]=>[2,3,6,4,1,5]
[4,1,1,6,1,3]=>[{2,3,5},{6},{1},{4}]=>[2,3,5,6,1,4]
[4,1,1,6,3,1]=>[{2,3,6},{5},{1},{4}]=>[2,3,6,5,1,4]
[4,1,3,1,1,6]=>[{2,4,5},{3},{1},{6}]=>[2,4,5,3,1,6]
[4,1,3,1,6,1]=>[{2,4,6},{3},{1},{5}]=>[2,4,6,3,1,5]
[4,1,3,6,1,1]=>[{2,5,6},{3},{1},{4}]=>[2,5,6,3,1,4]
[4,1,6,1,1,3]=>[{2,4,5},{6},{1},{3}]=>[2,4,5,6,1,3]
[4,1,6,1,3,1]=>[{2,4,6},{5},{1},{3}]=>[2,4,6,5,1,3]
[4,1,6,3,1,1]=>[{2,5,6},{4},{1},{3}]=>[2,5,6,4,1,3]
[4,3,1,1,1,6]=>[{3,4,5},{2},{1},{6}]=>[3,4,5,2,1,6]
[4,3,1,1,6,1]=>[{3,4,6},{2},{1},{5}]=>[3,4,6,2,1,5]
[4,3,1,6,1,1]=>[{3,5,6},{2},{1},{4}]=>[3,5,6,2,1,4]
[4,3,6,1,1,1]=>[{4,5,6},{2},{1},{3}]=>[4,5,6,2,1,3]
[4,6,1,1,1,3]=>[{3,4,5},{6},{1},{2}]=>[3,4,5,6,1,2]
[4,6,1,1,3,1]=>[{3,4,6},{5},{1},{2}]=>[3,4,6,5,1,2]
[4,6,1,3,1,1]=>[{3,5,6},{4},{1},{2}]=>[3,5,6,4,1,2]
[4,6,3,1,1,1]=>[{4,5,6},{3},{1},{2}]=>[4,5,6,3,1,2]
[6,1,1,1,3,4]=>[{2,3,4},{5},{6},{1}]=>[2,3,4,5,6,1]
[6,1,1,1,4,3]=>[{2,3,4},{6},{5},{1}]=>[2,3,4,6,5,1]
[6,1,1,3,1,4]=>[{2,3,5},{4},{6},{1}]=>[2,3,5,4,6,1]
[6,1,1,3,4,1]=>[{2,3,6},{4},{5},{1}]=>[2,3,6,4,5,1]
[6,1,1,4,1,3]=>[{2,3,5},{6},{4},{1}]=>[2,3,5,6,4,1]
[6,1,1,4,3,1]=>[{2,3,6},{5},{4},{1}]=>[2,3,6,5,4,1]
[6,1,3,1,1,4]=>[{2,4,5},{3},{6},{1}]=>[2,4,5,3,6,1]
[6,1,3,1,4,1]=>[{2,4,6},{3},{5},{1}]=>[2,4,6,3,5,1]
[6,1,3,4,1,1]=>[{2,5,6},{3},{4},{1}]=>[2,5,6,3,4,1]
[6,1,4,1,1,3]=>[{2,4,5},{6},{3},{1}]=>[2,4,5,6,3,1]
[6,1,4,1,3,1]=>[{2,4,6},{5},{3},{1}]=>[2,4,6,5,3,1]
[6,1,4,3,1,1]=>[{2,5,6},{4},{3},{1}]=>[2,5,6,4,3,1]
[6,3,1,1,1,4]=>[{3,4,5},{2},{6},{1}]=>[3,4,5,2,6,1]
[6,3,1,1,4,1]=>[{3,4,6},{2},{5},{1}]=>[3,4,6,2,5,1]
[6,3,1,4,1,1]=>[{3,5,6},{2},{4},{1}]=>[3,5,6,2,4,1]
[6,3,4,1,1,1]=>[{4,5,6},{2},{3},{1}]=>[4,5,6,2,3,1]
[6,4,1,1,1,3]=>[{3,4,5},{6},{2},{1}]=>[3,4,5,6,2,1]
[6,4,1,1,3,1]=>[{3,4,6},{5},{2},{1}]=>[3,4,6,5,2,1]
[6,4,1,3,1,1]=>[{3,5,6},{4},{2},{1}]=>[3,5,6,4,2,1]
[6,4,3,1,1,1]=>[{4,5,6},{3},{2},{1}]=>[4,5,6,3,2,1]
[1,1,1,3,5,5]=>[{1,2,3},{4},{5,6}]=>[1,2,3,4,5,6]
[1,1,1,5,3,5]=>[{1,2,3},{5},{4,6}]=>[1,2,3,5,4,6]
[1,1,1,5,5,3]=>[{1,2,3},{6},{4,5}]=>[1,2,3,6,4,5]
[1,1,3,1,5,5]=>[{1,2,4},{3},{5,6}]=>[1,2,4,3,5,6]
[1,1,3,5,1,5]=>[{1,2,5},{3},{4,6}]=>[1,2,5,3,4,6]
[1,1,3,5,5,1]=>[{1,2,6},{3},{4,5}]=>[1,2,6,3,4,5]
[1,1,5,1,3,5]=>[{1,2,4},{5},{3,6}]=>[1,2,4,5,3,6]
[1,1,5,1,5,3]=>[{1,2,4},{6},{3,5}]=>[1,2,4,6,3,5]
[1,1,5,3,1,5]=>[{1,2,5},{4},{3,6}]=>[1,2,5,4,3,6]
[1,1,5,3,5,1]=>[{1,2,6},{4},{3,5}]=>[1,2,6,4,3,5]
[1,1,5,5,1,3]=>[{1,2,5},{6},{3,4}]=>[1,2,5,6,3,4]
[1,1,5,5,3,1]=>[{1,2,6},{5},{3,4}]=>[1,2,6,5,3,4]
[1,3,1,1,5,5]=>[{1,3,4},{2},{5,6}]=>[1,3,4,2,5,6]
[1,3,1,5,1,5]=>[{1,3,5},{2},{4,6}]=>[1,3,5,2,4,6]
[1,3,1,5,5,1]=>[{1,3,6},{2},{4,5}]=>[1,3,6,2,4,5]
[1,3,5,1,1,5]=>[{1,4,5},{2},{3,6}]=>[1,4,5,2,3,6]
[1,3,5,1,5,1]=>[{1,4,6},{2},{3,5}]=>[1,4,6,2,3,5]
[1,3,5,5,1,1]=>[{1,5,6},{2},{3,4}]=>[1,5,6,2,3,4]
[1,5,1,1,3,5]=>[{1,3,4},{5},{2,6}]=>[1,3,4,5,2,6]
[1,5,1,1,5,3]=>[{1,3,4},{6},{2,5}]=>[1,3,4,6,2,5]
[1,5,1,3,1,5]=>[{1,3,5},{4},{2,6}]=>[1,3,5,4,2,6]
[1,5,1,3,5,1]=>[{1,3,6},{4},{2,5}]=>[1,3,6,4,2,5]
[1,5,1,5,1,3]=>[{1,3,5},{6},{2,4}]=>[1,3,5,6,2,4]
[1,5,1,5,3,1]=>[{1,3,6},{5},{2,4}]=>[1,3,6,5,2,4]
[1,5,3,1,1,5]=>[{1,4,5},{3},{2,6}]=>[1,4,5,3,2,6]
[1,5,3,1,5,1]=>[{1,4,6},{3},{2,5}]=>[1,4,6,3,2,5]
[1,5,3,5,1,1]=>[{1,5,6},{3},{2,4}]=>[1,5,6,3,2,4]
[1,5,5,1,1,3]=>[{1,4,5},{6},{2,3}]=>[1,4,5,6,2,3]
[1,5,5,1,3,1]=>[{1,4,6},{5},{2,3}]=>[1,4,6,5,2,3]
[1,5,5,3,1,1]=>[{1,5,6},{4},{2,3}]=>[1,5,6,4,2,3]
[3,1,1,1,5,5]=>[{2,3,4},{1},{5,6}]=>[2,3,4,1,5,6]
[3,1,1,5,1,5]=>[{2,3,5},{1},{4,6}]=>[2,3,5,1,4,6]
[3,1,1,5,5,1]=>[{2,3,6},{1},{4,5}]=>[2,3,6,1,4,5]
[3,1,5,1,1,5]=>[{2,4,5},{1},{3,6}]=>[2,4,5,1,3,6]
[3,1,5,1,5,1]=>[{2,4,6},{1},{3,5}]=>[2,4,6,1,3,5]
[3,1,5,5,1,1]=>[{2,5,6},{1},{3,4}]=>[2,5,6,1,3,4]
[3,5,1,1,1,5]=>[{3,4,5},{1},{2,6}]=>[3,4,5,1,2,6]
[3,5,1,1,5,1]=>[{3,4,6},{1},{2,5}]=>[3,4,6,1,2,5]
[3,5,1,5,1,1]=>[{3,5,6},{1},{2,4}]=>[3,5,6,1,2,4]
[3,5,5,1,1,1]=>[{4,5,6},{1},{2,3}]=>[4,5,6,1,2,3]
[5,1,1,1,3,5]=>[{2,3,4},{5},{1,6}]=>[2,3,4,5,1,6]
[5,1,1,1,5,3]=>[{2,3,4},{6},{1,5}]=>[2,3,4,6,1,5]
[5,1,1,3,1,5]=>[{2,3,5},{4},{1,6}]=>[2,3,5,4,1,6]
[5,1,1,3,5,1]=>[{2,3,6},{4},{1,5}]=>[2,3,6,4,1,5]
[5,1,1,5,1,3]=>[{2,3,5},{6},{1,4}]=>[2,3,5,6,1,4]
[5,1,1,5,3,1]=>[{2,3,6},{5},{1,4}]=>[2,3,6,5,1,4]
[5,1,3,1,1,5]=>[{2,4,5},{3},{1,6}]=>[2,4,5,3,1,6]
[5,1,3,1,5,1]=>[{2,4,6},{3},{1,5}]=>[2,4,6,3,1,5]
[5,1,3,5,1,1]=>[{2,5,6},{3},{1,4}]=>[2,5,6,3,1,4]
[5,1,5,1,1,3]=>[{2,4,5},{6},{1,3}]=>[2,4,5,6,1,3]
[5,1,5,1,3,1]=>[{2,4,6},{5},{1,3}]=>[2,4,6,5,1,3]
[5,1,5,3,1,1]=>[{2,5,6},{4},{1,3}]=>[2,5,6,4,1,3]
[5,3,1,1,1,5]=>[{3,4,5},{2},{1,6}]=>[3,4,5,2,1,6]
[5,3,1,1,5,1]=>[{3,4,6},{2},{1,5}]=>[3,4,6,2,1,5]
[5,3,1,5,1,1]=>[{3,5,6},{2},{1,4}]=>[3,5,6,2,1,4]
[5,3,5,1,1,1]=>[{4,5,6},{2},{1,3}]=>[4,5,6,2,1,3]
[5,5,1,1,1,3]=>[{3,4,5},{6},{1,2}]=>[3,4,5,6,1,2]
[5,5,1,1,3,1]=>[{3,4,6},{5},{1,2}]=>[3,4,6,5,1,2]
[5,5,1,3,1,1]=>[{3,5,6},{4},{1,2}]=>[3,5,6,4,1,2]
[5,5,3,1,1,1]=>[{4,5,6},{3},{1,2}]=>[4,5,6,3,1,2]
[1,1,1,3,5,6]=>[{1,2,3},{4},{5},{6}]=>[1,2,3,4,5,6]
[1,1,1,3,6,5]=>[{1,2,3},{4},{6},{5}]=>[1,2,3,4,6,5]
[1,1,1,5,3,6]=>[{1,2,3},{5},{4},{6}]=>[1,2,3,5,4,6]
[1,1,1,5,6,3]=>[{1,2,3},{6},{4},{5}]=>[1,2,3,6,4,5]
[1,1,1,6,3,5]=>[{1,2,3},{5},{6},{4}]=>[1,2,3,5,6,4]
[1,1,1,6,5,3]=>[{1,2,3},{6},{5},{4}]=>[1,2,3,6,5,4]
[1,1,3,1,5,6]=>[{1,2,4},{3},{5},{6}]=>[1,2,4,3,5,6]
[1,1,3,1,6,5]=>[{1,2,4},{3},{6},{5}]=>[1,2,4,3,6,5]
[1,1,3,5,1,6]=>[{1,2,5},{3},{4},{6}]=>[1,2,5,3,4,6]
[1,1,3,5,6,1]=>[{1,2,6},{3},{4},{5}]=>[1,2,6,3,4,5]
[1,1,3,6,1,5]=>[{1,2,5},{3},{6},{4}]=>[1,2,5,3,6,4]
[1,1,3,6,5,1]=>[{1,2,6},{3},{5},{4}]=>[1,2,6,3,5,4]
[1,1,5,1,3,6]=>[{1,2,4},{5},{3},{6}]=>[1,2,4,5,3,6]
[1,1,5,1,6,3]=>[{1,2,4},{6},{3},{5}]=>[1,2,4,6,3,5]
[1,1,5,3,1,6]=>[{1,2,5},{4},{3},{6}]=>[1,2,5,4,3,6]
[1,1,5,3,6,1]=>[{1,2,6},{4},{3},{5}]=>[1,2,6,4,3,5]
[1,1,5,6,1,3]=>[{1,2,5},{6},{3},{4}]=>[1,2,5,6,3,4]
[1,1,5,6,3,1]=>[{1,2,6},{5},{3},{4}]=>[1,2,6,5,3,4]
[1,1,6,1,3,5]=>[{1,2,4},{5},{6},{3}]=>[1,2,4,5,6,3]
[1,1,6,1,5,3]=>[{1,2,4},{6},{5},{3}]=>[1,2,4,6,5,3]
[1,1,6,3,1,5]=>[{1,2,5},{4},{6},{3}]=>[1,2,5,4,6,3]
[1,1,6,3,5,1]=>[{1,2,6},{4},{5},{3}]=>[1,2,6,4,5,3]
[1,1,6,5,1,3]=>[{1,2,5},{6},{4},{3}]=>[1,2,5,6,4,3]
[1,1,6,5,3,1]=>[{1,2,6},{5},{4},{3}]=>[1,2,6,5,4,3]
[1,3,1,1,5,6]=>[{1,3,4},{2},{5},{6}]=>[1,3,4,2,5,6]
[1,3,1,1,6,5]=>[{1,3,4},{2},{6},{5}]=>[1,3,4,2,6,5]
[1,3,1,5,1,6]=>[{1,3,5},{2},{4},{6}]=>[1,3,5,2,4,6]
[1,3,1,5,6,1]=>[{1,3,6},{2},{4},{5}]=>[1,3,6,2,4,5]
[1,3,1,6,1,5]=>[{1,3,5},{2},{6},{4}]=>[1,3,5,2,6,4]
[1,3,1,6,5,1]=>[{1,3,6},{2},{5},{4}]=>[1,3,6,2,5,4]
[1,3,5,1,1,6]=>[{1,4,5},{2},{3},{6}]=>[1,4,5,2,3,6]
[1,3,5,1,6,1]=>[{1,4,6},{2},{3},{5}]=>[1,4,6,2,3,5]
[1,3,5,6,1,1]=>[{1,5,6},{2},{3},{4}]=>[1,5,6,2,3,4]
[1,3,6,1,1,5]=>[{1,4,5},{2},{6},{3}]=>[1,4,5,2,6,3]
[1,3,6,1,5,1]=>[{1,4,6},{2},{5},{3}]=>[1,4,6,2,5,3]
[1,3,6,5,1,1]=>[{1,5,6},{2},{4},{3}]=>[1,5,6,2,4,3]
[1,5,1,1,3,6]=>[{1,3,4},{5},{2},{6}]=>[1,3,4,5,2,6]
[1,5,1,1,6,3]=>[{1,3,4},{6},{2},{5}]=>[1,3,4,6,2,5]
[1,5,1,3,1,6]=>[{1,3,5},{4},{2},{6}]=>[1,3,5,4,2,6]
[1,5,1,3,6,1]=>[{1,3,6},{4},{2},{5}]=>[1,3,6,4,2,5]
[1,5,1,6,1,3]=>[{1,3,5},{6},{2},{4}]=>[1,3,5,6,2,4]
[1,5,1,6,3,1]=>[{1,3,6},{5},{2},{4}]=>[1,3,6,5,2,4]
[1,5,3,1,1,6]=>[{1,4,5},{3},{2},{6}]=>[1,4,5,3,2,6]
[1,5,3,1,6,1]=>[{1,4,6},{3},{2},{5}]=>[1,4,6,3,2,5]
[1,5,3,6,1,1]=>[{1,5,6},{3},{2},{4}]=>[1,5,6,3,2,4]
[1,5,6,1,1,3]=>[{1,4,5},{6},{2},{3}]=>[1,4,5,6,2,3]
[1,5,6,1,3,1]=>[{1,4,6},{5},{2},{3}]=>[1,4,6,5,2,3]
[1,5,6,3,1,1]=>[{1,5,6},{4},{2},{3}]=>[1,5,6,4,2,3]
[1,6,1,1,3,5]=>[{1,3,4},{5},{6},{2}]=>[1,3,4,5,6,2]
[1,6,1,1,5,3]=>[{1,3,4},{6},{5},{2}]=>[1,3,4,6,5,2]
[1,6,1,3,1,5]=>[{1,3,5},{4},{6},{2}]=>[1,3,5,4,6,2]
[1,6,1,3,5,1]=>[{1,3,6},{4},{5},{2}]=>[1,3,6,4,5,2]
[1,6,1,5,1,3]=>[{1,3,5},{6},{4},{2}]=>[1,3,5,6,4,2]
[1,6,1,5,3,1]=>[{1,3,6},{5},{4},{2}]=>[1,3,6,5,4,2]
[1,6,3,1,1,5]=>[{1,4,5},{3},{6},{2}]=>[1,4,5,3,6,2]
[1,6,3,1,5,1]=>[{1,4,6},{3},{5},{2}]=>[1,4,6,3,5,2]
[1,6,3,5,1,1]=>[{1,5,6},{3},{4},{2}]=>[1,5,6,3,4,2]
[1,6,5,1,1,3]=>[{1,4,5},{6},{3},{2}]=>[1,4,5,6,3,2]
[1,6,5,1,3,1]=>[{1,4,6},{5},{3},{2}]=>[1,4,6,5,3,2]
[1,6,5,3,1,1]=>[{1,5,6},{4},{3},{2}]=>[1,5,6,4,3,2]
[3,1,1,1,5,6]=>[{2,3,4},{1},{5},{6}]=>[2,3,4,1,5,6]
[3,1,1,1,6,5]=>[{2,3,4},{1},{6},{5}]=>[2,3,4,1,6,5]
[3,1,1,5,1,6]=>[{2,3,5},{1},{4},{6}]=>[2,3,5,1,4,6]
[3,1,1,5,6,1]=>[{2,3,6},{1},{4},{5}]=>[2,3,6,1,4,5]
[3,1,1,6,1,5]=>[{2,3,5},{1},{6},{4}]=>[2,3,5,1,6,4]
[3,1,1,6,5,1]=>[{2,3,6},{1},{5},{4}]=>[2,3,6,1,5,4]
[3,1,5,1,1,6]=>[{2,4,5},{1},{3},{6}]=>[2,4,5,1,3,6]
[3,1,5,1,6,1]=>[{2,4,6},{1},{3},{5}]=>[2,4,6,1,3,5]
[3,1,5,6,1,1]=>[{2,5,6},{1},{3},{4}]=>[2,5,6,1,3,4]
[3,1,6,1,1,5]=>[{2,4,5},{1},{6},{3}]=>[2,4,5,1,6,3]
[3,1,6,1,5,1]=>[{2,4,6},{1},{5},{3}]=>[2,4,6,1,5,3]
[3,1,6,5,1,1]=>[{2,5,6},{1},{4},{3}]=>[2,5,6,1,4,3]
[3,5,1,1,1,6]=>[{3,4,5},{1},{2},{6}]=>[3,4,5,1,2,6]
[3,5,1,1,6,1]=>[{3,4,6},{1},{2},{5}]=>[3,4,6,1,2,5]
[3,5,1,6,1,1]=>[{3,5,6},{1},{2},{4}]=>[3,5,6,1,2,4]
[3,5,6,1,1,1]=>[{4,5,6},{1},{2},{3}]=>[4,5,6,1,2,3]
[3,6,1,1,1,5]=>[{3,4,5},{1},{6},{2}]=>[3,4,5,1,6,2]
[3,6,1,1,5,1]=>[{3,4,6},{1},{5},{2}]=>[3,4,6,1,5,2]
[3,6,1,5,1,1]=>[{3,5,6},{1},{4},{2}]=>[3,5,6,1,4,2]
[3,6,5,1,1,1]=>[{4,5,6},{1},{3},{2}]=>[4,5,6,1,3,2]
[5,1,1,1,3,6]=>[{2,3,4},{5},{1},{6}]=>[2,3,4,5,1,6]
[5,1,1,1,6,3]=>[{2,3,4},{6},{1},{5}]=>[2,3,4,6,1,5]
[5,1,1,3,1,6]=>[{2,3,5},{4},{1},{6}]=>[2,3,5,4,1,6]
[5,1,1,3,6,1]=>[{2,3,6},{4},{1},{5}]=>[2,3,6,4,1,5]
[5,1,1,6,1,3]=>[{2,3,5},{6},{1},{4}]=>[2,3,5,6,1,4]
[5,1,1,6,3,1]=>[{2,3,6},{5},{1},{4}]=>[2,3,6,5,1,4]
[5,1,3,1,1,6]=>[{2,4,5},{3},{1},{6}]=>[2,4,5,3,1,6]
[5,1,3,1,6,1]=>[{2,4,6},{3},{1},{5}]=>[2,4,6,3,1,5]
[5,1,3,6,1,1]=>[{2,5,6},{3},{1},{4}]=>[2,5,6,3,1,4]
[5,1,6,1,1,3]=>[{2,4,5},{6},{1},{3}]=>[2,4,5,6,1,3]
[5,1,6,1,3,1]=>[{2,4,6},{5},{1},{3}]=>[2,4,6,5,1,3]
[5,1,6,3,1,1]=>[{2,5,6},{4},{1},{3}]=>[2,5,6,4,1,3]
[5,3,1,1,1,6]=>[{3,4,5},{2},{1},{6}]=>[3,4,5,2,1,6]
[5,3,1,1,6,1]=>[{3,4,6},{2},{1},{5}]=>[3,4,6,2,1,5]
[5,3,1,6,1,1]=>[{3,5,6},{2},{1},{4}]=>[3,5,6,2,1,4]
[5,3,6,1,1,1]=>[{4,5,6},{2},{1},{3}]=>[4,5,6,2,1,3]
[5,6,1,1,1,3]=>[{3,4,5},{6},{1},{2}]=>[3,4,5,6,1,2]
[5,6,1,1,3,1]=>[{3,4,6},{5},{1},{2}]=>[3,4,6,5,1,2]
[5,6,1,3,1,1]=>[{3,5,6},{4},{1},{2}]=>[3,5,6,4,1,2]
[5,6,3,1,1,1]=>[{4,5,6},{3},{1},{2}]=>[4,5,6,3,1,2]
[6,1,1,1,3,5]=>[{2,3,4},{5},{6},{1}]=>[2,3,4,5,6,1]
[6,1,1,1,5,3]=>[{2,3,4},{6},{5},{1}]=>[2,3,4,6,5,1]
[6,1,1,3,1,5]=>[{2,3,5},{4},{6},{1}]=>[2,3,5,4,6,1]
[6,1,1,3,5,1]=>[{2,3,6},{4},{5},{1}]=>[2,3,6,4,5,1]
[6,1,1,5,1,3]=>[{2,3,5},{6},{4},{1}]=>[2,3,5,6,4,1]
[6,1,1,5,3,1]=>[{2,3,6},{5},{4},{1}]=>[2,3,6,5,4,1]
[6,1,3,1,1,5]=>[{2,4,5},{3},{6},{1}]=>[2,4,5,3,6,1]
[6,1,3,1,5,1]=>[{2,4,6},{3},{5},{1}]=>[2,4,6,3,5,1]
[6,1,3,5,1,1]=>[{2,5,6},{3},{4},{1}]=>[2,5,6,3,4,1]
[6,1,5,1,1,3]=>[{2,4,5},{6},{3},{1}]=>[2,4,5,6,3,1]
[6,1,5,1,3,1]=>[{2,4,6},{5},{3},{1}]=>[2,4,6,5,3,1]
[6,1,5,3,1,1]=>[{2,5,6},{4},{3},{1}]=>[2,5,6,4,3,1]
[6,3,1,1,1,5]=>[{3,4,5},{2},{6},{1}]=>[3,4,5,2,6,1]
[6,3,1,1,5,1]=>[{3,4,6},{2},{5},{1}]=>[3,4,6,2,5,1]
[6,3,1,5,1,1]=>[{3,5,6},{2},{4},{1}]=>[3,5,6,2,4,1]
[6,3,5,1,1,1]=>[{4,5,6},{2},{3},{1}]=>[4,5,6,2,3,1]
[6,5,1,1,1,3]=>[{3,4,5},{6},{2},{1}]=>[3,4,5,6,2,1]
[6,5,1,1,3,1]=>[{3,4,6},{5},{2},{1}]=>[3,4,6,5,2,1]
[6,5,1,3,1,1]=>[{3,5,6},{4},{2},{1}]=>[3,5,6,4,2,1]
[6,5,3,1,1,1]=>[{4,5,6},{3},{2},{1}]=>[4,5,6,3,2,1]
[1,1,1,4,4,4]=>[{1,2,3},{4,5,6}]=>[1,2,3,4,5,6]
[1,1,4,1,4,4]=>[{1,2,4},{3,5,6}]=>[1,2,4,3,5,6]
[1,1,4,4,1,4]=>[{1,2,5},{3,4,6}]=>[1,2,5,3,4,6]
[1,1,4,4,4,1]=>[{1,2,6},{3,4,5}]=>[1,2,6,3,4,5]
[1,4,1,1,4,4]=>[{1,3,4},{2,5,6}]=>[1,3,4,2,5,6]
[1,4,1,4,1,4]=>[{1,3,5},{2,4,6}]=>[1,3,5,2,4,6]
[1,4,1,4,4,1]=>[{1,3,6},{2,4,5}]=>[1,3,6,2,4,5]
[1,4,4,1,1,4]=>[{1,4,5},{2,3,6}]=>[1,4,5,2,3,6]
[1,4,4,1,4,1]=>[{1,4,6},{2,3,5}]=>[1,4,6,2,3,5]
[1,4,4,4,1,1]=>[{1,5,6},{2,3,4}]=>[1,5,6,2,3,4]
[4,1,1,1,4,4]=>[{2,3,4},{1,5,6}]=>[2,3,4,1,5,6]
[4,1,1,4,1,4]=>[{2,3,5},{1,4,6}]=>[2,3,5,1,4,6]
[4,1,1,4,4,1]=>[{2,3,6},{1,4,5}]=>[2,3,6,1,4,5]
[4,1,4,1,1,4]=>[{2,4,5},{1,3,6}]=>[2,4,5,1,3,6]
[4,1,4,1,4,1]=>[{2,4,6},{1,3,5}]=>[2,4,6,1,3,5]
[4,1,4,4,1,1]=>[{2,5,6},{1,3,4}]=>[2,5,6,1,3,4]
[4,4,1,1,1,4]=>[{3,4,5},{1,2,6}]=>[3,4,5,1,2,6]
[4,4,1,1,4,1]=>[{3,4,6},{1,2,5}]=>[3,4,6,1,2,5]
[4,4,1,4,1,1]=>[{3,5,6},{1,2,4}]=>[3,5,6,1,2,4]
[4,4,4,1,1,1]=>[{4,5,6},{1,2,3}]=>[4,5,6,1,2,3]
[1,1,1,4,4,5]=>[{1,2,3},{4,5},{6}]=>[1,2,3,4,5,6]
[1,1,1,4,5,4]=>[{1,2,3},{4,6},{5}]=>[1,2,3,4,6,5]
[1,1,1,5,4,4]=>[{1,2,3},{5,6},{4}]=>[1,2,3,5,6,4]
[1,1,4,1,4,5]=>[{1,2,4},{3,5},{6}]=>[1,2,4,3,5,6]
[1,1,4,1,5,4]=>[{1,2,4},{3,6},{5}]=>[1,2,4,3,6,5]
[1,1,4,4,1,5]=>[{1,2,5},{3,4},{6}]=>[1,2,5,3,4,6]
[1,1,4,4,5,1]=>[{1,2,6},{3,4},{5}]=>[1,2,6,3,4,5]
[1,1,4,5,1,4]=>[{1,2,5},{3,6},{4}]=>[1,2,5,3,6,4]
[1,1,4,5,4,1]=>[{1,2,6},{3,5},{4}]=>[1,2,6,3,5,4]
[1,1,5,1,4,4]=>[{1,2,4},{5,6},{3}]=>[1,2,4,5,6,3]
[1,1,5,4,1,4]=>[{1,2,5},{4,6},{3}]=>[1,2,5,4,6,3]
[1,1,5,4,4,1]=>[{1,2,6},{4,5},{3}]=>[1,2,6,4,5,3]
[1,4,1,1,4,5]=>[{1,3,4},{2,5},{6}]=>[1,3,4,2,5,6]
[1,4,1,1,5,4]=>[{1,3,4},{2,6},{5}]=>[1,3,4,2,6,5]
[1,4,1,4,1,5]=>[{1,3,5},{2,4},{6}]=>[1,3,5,2,4,6]
[1,4,1,4,5,1]=>[{1,3,6},{2,4},{5}]=>[1,3,6,2,4,5]
[1,4,1,5,1,4]=>[{1,3,5},{2,6},{4}]=>[1,3,5,2,6,4]
[1,4,1,5,4,1]=>[{1,3,6},{2,5},{4}]=>[1,3,6,2,5,4]
[1,4,4,1,1,5]=>[{1,4,5},{2,3},{6}]=>[1,4,5,2,3,6]
[1,4,4,1,5,1]=>[{1,4,6},{2,3},{5}]=>[1,4,6,2,3,5]
[1,4,4,5,1,1]=>[{1,5,6},{2,3},{4}]=>[1,5,6,2,3,4]
[1,4,5,1,1,4]=>[{1,4,5},{2,6},{3}]=>[1,4,5,2,6,3]
[1,4,5,1,4,1]=>[{1,4,6},{2,5},{3}]=>[1,4,6,2,5,3]
[1,4,5,4,1,1]=>[{1,5,6},{2,4},{3}]=>[1,5,6,2,4,3]
[1,5,1,1,4,4]=>[{1,3,4},{5,6},{2}]=>[1,3,4,5,6,2]
[1,5,1,4,1,4]=>[{1,3,5},{4,6},{2}]=>[1,3,5,4,6,2]
[1,5,1,4,4,1]=>[{1,3,6},{4,5},{2}]=>[1,3,6,4,5,2]
[1,5,4,1,1,4]=>[{1,4,5},{3,6},{2}]=>[1,4,5,3,6,2]
[1,5,4,1,4,1]=>[{1,4,6},{3,5},{2}]=>[1,4,6,3,5,2]
[1,5,4,4,1,1]=>[{1,5,6},{3,4},{2}]=>[1,5,6,3,4,2]
[4,1,1,1,4,5]=>[{2,3,4},{1,5},{6}]=>[2,3,4,1,5,6]
[4,1,1,1,5,4]=>[{2,3,4},{1,6},{5}]=>[2,3,4,1,6,5]
[4,1,1,4,1,5]=>[{2,3,5},{1,4},{6}]=>[2,3,5,1,4,6]
[4,1,1,4,5,1]=>[{2,3,6},{1,4},{5}]=>[2,3,6,1,4,5]
[4,1,1,5,1,4]=>[{2,3,5},{1,6},{4}]=>[2,3,5,1,6,4]
[4,1,1,5,4,1]=>[{2,3,6},{1,5},{4}]=>[2,3,6,1,5,4]
[4,1,4,1,1,5]=>[{2,4,5},{1,3},{6}]=>[2,4,5,1,3,6]
[4,1,4,1,5,1]=>[{2,4,6},{1,3},{5}]=>[2,4,6,1,3,5]
[4,1,4,5,1,1]=>[{2,5,6},{1,3},{4}]=>[2,5,6,1,3,4]
[4,1,5,1,1,4]=>[{2,4,5},{1,6},{3}]=>[2,4,5,1,6,3]
[4,1,5,1,4,1]=>[{2,4,6},{1,5},{3}]=>[2,4,6,1,5,3]
[4,1,5,4,1,1]=>[{2,5,6},{1,4},{3}]=>[2,5,6,1,4,3]
[4,4,1,1,1,5]=>[{3,4,5},{1,2},{6}]=>[3,4,5,1,2,6]
[4,4,1,1,5,1]=>[{3,4,6},{1,2},{5}]=>[3,4,6,1,2,5]
[4,4,1,5,1,1]=>[{3,5,6},{1,2},{4}]=>[3,5,6,1,2,4]
[4,4,5,1,1,1]=>[{4,5,6},{1,2},{3}]=>[4,5,6,1,2,3]
[4,5,1,1,1,4]=>[{3,4,5},{1,6},{2}]=>[3,4,5,1,6,2]
[4,5,1,1,4,1]=>[{3,4,6},{1,5},{2}]=>[3,4,6,1,5,2]
[4,5,1,4,1,1]=>[{3,5,6},{1,4},{2}]=>[3,5,6,1,4,2]
[4,5,4,1,1,1]=>[{4,5,6},{1,3},{2}]=>[4,5,6,1,3,2]
[5,1,1,1,4,4]=>[{2,3,4},{5,6},{1}]=>[2,3,4,5,6,1]
[5,1,1,4,1,4]=>[{2,3,5},{4,6},{1}]=>[2,3,5,4,6,1]
[5,1,1,4,4,1]=>[{2,3,6},{4,5},{1}]=>[2,3,6,4,5,1]
[5,1,4,1,1,4]=>[{2,4,5},{3,6},{1}]=>[2,4,5,3,6,1]
[5,1,4,1,4,1]=>[{2,4,6},{3,5},{1}]=>[2,4,6,3,5,1]
[5,1,4,4,1,1]=>[{2,5,6},{3,4},{1}]=>[2,5,6,3,4,1]
[5,4,1,1,1,4]=>[{3,4,5},{2,6},{1}]=>[3,4,5,2,6,1]
[5,4,1,1,4,1]=>[{3,4,6},{2,5},{1}]=>[3,4,6,2,5,1]
[5,4,1,4,1,1]=>[{3,5,6},{2,4},{1}]=>[3,5,6,2,4,1]
[5,4,4,1,1,1]=>[{4,5,6},{2,3},{1}]=>[4,5,6,2,3,1]
[1,1,1,4,4,6]=>[{1,2,3},{4,5},{6}]=>[1,2,3,4,5,6]
[1,1,1,4,6,4]=>[{1,2,3},{4,6},{5}]=>[1,2,3,4,6,5]
[1,1,1,6,4,4]=>[{1,2,3},{5,6},{4}]=>[1,2,3,5,6,4]
[1,1,4,1,4,6]=>[{1,2,4},{3,5},{6}]=>[1,2,4,3,5,6]
[1,1,4,1,6,4]=>[{1,2,4},{3,6},{5}]=>[1,2,4,3,6,5]
[1,1,4,4,1,6]=>[{1,2,5},{3,4},{6}]=>[1,2,5,3,4,6]
[1,1,4,4,6,1]=>[{1,2,6},{3,4},{5}]=>[1,2,6,3,4,5]
[1,1,4,6,1,4]=>[{1,2,5},{3,6},{4}]=>[1,2,5,3,6,4]
[1,1,4,6,4,1]=>[{1,2,6},{3,5},{4}]=>[1,2,6,3,5,4]
[1,1,6,1,4,4]=>[{1,2,4},{5,6},{3}]=>[1,2,4,5,6,3]
[1,1,6,4,1,4]=>[{1,2,5},{4,6},{3}]=>[1,2,5,4,6,3]
[1,1,6,4,4,1]=>[{1,2,6},{4,5},{3}]=>[1,2,6,4,5,3]
[1,4,1,1,4,6]=>[{1,3,4},{2,5},{6}]=>[1,3,4,2,5,6]
[1,4,1,1,6,4]=>[{1,3,4},{2,6},{5}]=>[1,3,4,2,6,5]
[1,4,1,4,1,6]=>[{1,3,5},{2,4},{6}]=>[1,3,5,2,4,6]
[1,4,1,4,6,1]=>[{1,3,6},{2,4},{5}]=>[1,3,6,2,4,5]
[1,4,1,6,1,4]=>[{1,3,5},{2,6},{4}]=>[1,3,5,2,6,4]
[1,4,1,6,4,1]=>[{1,3,6},{2,5},{4}]=>[1,3,6,2,5,4]
[1,4,4,1,1,6]=>[{1,4,5},{2,3},{6}]=>[1,4,5,2,3,6]
[1,4,4,1,6,1]=>[{1,4,6},{2,3},{5}]=>[1,4,6,2,3,5]
[1,4,4,6,1,1]=>[{1,5,6},{2,3},{4}]=>[1,5,6,2,3,4]
[1,4,6,1,1,4]=>[{1,4,5},{2,6},{3}]=>[1,4,5,2,6,3]
[1,4,6,1,4,1]=>[{1,4,6},{2,5},{3}]=>[1,4,6,2,5,3]
[1,4,6,4,1,1]=>[{1,5,6},{2,4},{3}]=>[1,5,6,2,4,3]
[1,6,1,1,4,4]=>[{1,3,4},{5,6},{2}]=>[1,3,4,5,6,2]
[1,6,1,4,1,4]=>[{1,3,5},{4,6},{2}]=>[1,3,5,4,6,2]
[1,6,1,4,4,1]=>[{1,3,6},{4,5},{2}]=>[1,3,6,4,5,2]
[1,6,4,1,1,4]=>[{1,4,5},{3,6},{2}]=>[1,4,5,3,6,2]
[1,6,4,1,4,1]=>[{1,4,6},{3,5},{2}]=>[1,4,6,3,5,2]
[1,6,4,4,1,1]=>[{1,5,6},{3,4},{2}]=>[1,5,6,3,4,2]
[4,1,1,1,4,6]=>[{2,3,4},{1,5},{6}]=>[2,3,4,1,5,6]
[4,1,1,1,6,4]=>[{2,3,4},{1,6},{5}]=>[2,3,4,1,6,5]
[4,1,1,4,1,6]=>[{2,3,5},{1,4},{6}]=>[2,3,5,1,4,6]
[4,1,1,4,6,1]=>[{2,3,6},{1,4},{5}]=>[2,3,6,1,4,5]
[4,1,1,6,1,4]=>[{2,3,5},{1,6},{4}]=>[2,3,5,1,6,4]
[4,1,1,6,4,1]=>[{2,3,6},{1,5},{4}]=>[2,3,6,1,5,4]
[4,1,4,1,1,6]=>[{2,4,5},{1,3},{6}]=>[2,4,5,1,3,6]
[4,1,4,1,6,1]=>[{2,4,6},{1,3},{5}]=>[2,4,6,1,3,5]
[4,1,4,6,1,1]=>[{2,5,6},{1,3},{4}]=>[2,5,6,1,3,4]
[4,1,6,1,1,4]=>[{2,4,5},{1,6},{3}]=>[2,4,5,1,6,3]
[4,1,6,1,4,1]=>[{2,4,6},{1,5},{3}]=>[2,4,6,1,5,3]
[4,1,6,4,1,1]=>[{2,5,6},{1,4},{3}]=>[2,5,6,1,4,3]
[4,4,1,1,1,6]=>[{3,4,5},{1,2},{6}]=>[3,4,5,1,2,6]
[4,4,1,1,6,1]=>[{3,4,6},{1,2},{5}]=>[3,4,6,1,2,5]
[4,4,1,6,1,1]=>[{3,5,6},{1,2},{4}]=>[3,5,6,1,2,4]
[4,4,6,1,1,1]=>[{4,5,6},{1,2},{3}]=>[4,5,6,1,2,3]
[4,6,1,1,1,4]=>[{3,4,5},{1,6},{2}]=>[3,4,5,1,6,2]
[4,6,1,1,4,1]=>[{3,4,6},{1,5},{2}]=>[3,4,6,1,5,2]
[4,6,1,4,1,1]=>[{3,5,6},{1,4},{2}]=>[3,5,6,1,4,2]
[4,6,4,1,1,1]=>[{4,5,6},{1,3},{2}]=>[4,5,6,1,3,2]
[6,1,1,1,4,4]=>[{2,3,4},{5,6},{1}]=>[2,3,4,5,6,1]
[6,1,1,4,1,4]=>[{2,3,5},{4,6},{1}]=>[2,3,5,4,6,1]
[6,1,1,4,4,1]=>[{2,3,6},{4,5},{1}]=>[2,3,6,4,5,1]
[6,1,4,1,1,4]=>[{2,4,5},{3,6},{1}]=>[2,4,5,3,6,1]
[6,1,4,1,4,1]=>[{2,4,6},{3,5},{1}]=>[2,4,6,3,5,1]
[6,1,4,4,1,1]=>[{2,5,6},{3,4},{1}]=>[2,5,6,3,4,1]
[6,4,1,1,1,4]=>[{3,4,5},{2,6},{1}]=>[3,4,5,2,6,1]
[6,4,1,1,4,1]=>[{3,4,6},{2,5},{1}]=>[3,4,6,2,5,1]
[6,4,1,4,1,1]=>[{3,5,6},{2,4},{1}]=>[3,5,6,2,4,1]
[6,4,4,1,1,1]=>[{4,5,6},{2,3},{1}]=>[4,5,6,2,3,1]
[1,1,1,4,5,5]=>[{1,2,3},{4},{5,6}]=>[1,2,3,4,5,6]
[1,1,1,5,4,5]=>[{1,2,3},{5},{4,6}]=>[1,2,3,5,4,6]
[1,1,1,5,5,4]=>[{1,2,3},{6},{4,5}]=>[1,2,3,6,4,5]
[1,1,4,1,5,5]=>[{1,2,4},{3},{5,6}]=>[1,2,4,3,5,6]
[1,1,4,5,1,5]=>[{1,2,5},{3},{4,6}]=>[1,2,5,3,4,6]
[1,1,4,5,5,1]=>[{1,2,6},{3},{4,5}]=>[1,2,6,3,4,5]
[1,1,5,1,4,5]=>[{1,2,4},{5},{3,6}]=>[1,2,4,5,3,6]
[1,1,5,1,5,4]=>[{1,2,4},{6},{3,5}]=>[1,2,4,6,3,5]
[1,1,5,4,1,5]=>[{1,2,5},{4},{3,6}]=>[1,2,5,4,3,6]
[1,1,5,4,5,1]=>[{1,2,6},{4},{3,5}]=>[1,2,6,4,3,5]
[1,1,5,5,1,4]=>[{1,2,5},{6},{3,4}]=>[1,2,5,6,3,4]
[1,1,5,5,4,1]=>[{1,2,6},{5},{3,4}]=>[1,2,6,5,3,4]
[1,4,1,1,5,5]=>[{1,3,4},{2},{5,6}]=>[1,3,4,2,5,6]
[1,4,1,5,1,5]=>[{1,3,5},{2},{4,6}]=>[1,3,5,2,4,6]
[1,4,1,5,5,1]=>[{1,3,6},{2},{4,5}]=>[1,3,6,2,4,5]
[1,4,5,1,1,5]=>[{1,4,5},{2},{3,6}]=>[1,4,5,2,3,6]
[1,4,5,1,5,1]=>[{1,4,6},{2},{3,5}]=>[1,4,6,2,3,5]
[1,4,5,5,1,1]=>[{1,5,6},{2},{3,4}]=>[1,5,6,2,3,4]
[1,5,1,1,4,5]=>[{1,3,4},{5},{2,6}]=>[1,3,4,5,2,6]
[1,5,1,1,5,4]=>[{1,3,4},{6},{2,5}]=>[1,3,4,6,2,5]
[1,5,1,4,1,5]=>[{1,3,5},{4},{2,6}]=>[1,3,5,4,2,6]
[1,5,1,4,5,1]=>[{1,3,6},{4},{2,5}]=>[1,3,6,4,2,5]
[1,5,1,5,1,4]=>[{1,3,5},{6},{2,4}]=>[1,3,5,6,2,4]
[1,5,1,5,4,1]=>[{1,3,6},{5},{2,4}]=>[1,3,6,5,2,4]
[1,5,4,1,1,5]=>[{1,4,5},{3},{2,6}]=>[1,4,5,3,2,6]
[1,5,4,1,5,1]=>[{1,4,6},{3},{2,5}]=>[1,4,6,3,2,5]
[1,5,4,5,1,1]=>[{1,5,6},{3},{2,4}]=>[1,5,6,3,2,4]
[1,5,5,1,1,4]=>[{1,4,5},{6},{2,3}]=>[1,4,5,6,2,3]
[1,5,5,1,4,1]=>[{1,4,6},{5},{2,3}]=>[1,4,6,5,2,3]
[1,5,5,4,1,1]=>[{1,5,6},{4},{2,3}]=>[1,5,6,4,2,3]
[4,1,1,1,5,5]=>[{2,3,4},{1},{5,6}]=>[2,3,4,1,5,6]
[4,1,1,5,1,5]=>[{2,3,5},{1},{4,6}]=>[2,3,5,1,4,6]
[4,1,1,5,5,1]=>[{2,3,6},{1},{4,5}]=>[2,3,6,1,4,5]
[4,1,5,1,1,5]=>[{2,4,5},{1},{3,6}]=>[2,4,5,1,3,6]
[4,1,5,1,5,1]=>[{2,4,6},{1},{3,5}]=>[2,4,6,1,3,5]
[4,1,5,5,1,1]=>[{2,5,6},{1},{3,4}]=>[2,5,6,1,3,4]
[4,5,1,1,1,5]=>[{3,4,5},{1},{2,6}]=>[3,4,5,1,2,6]
[4,5,1,1,5,1]=>[{3,4,6},{1},{2,5}]=>[3,4,6,1,2,5]
[4,5,1,5,1,1]=>[{3,5,6},{1},{2,4}]=>[3,5,6,1,2,4]
[4,5,5,1,1,1]=>[{4,5,6},{1},{2,3}]=>[4,5,6,1,2,3]
[5,1,1,1,4,5]=>[{2,3,4},{5},{1,6}]=>[2,3,4,5,1,6]
[5,1,1,1,5,4]=>[{2,3,4},{6},{1,5}]=>[2,3,4,6,1,5]
[5,1,1,4,1,5]=>[{2,3,5},{4},{1,6}]=>[2,3,5,4,1,6]
[5,1,1,4,5,1]=>[{2,3,6},{4},{1,5}]=>[2,3,6,4,1,5]
[5,1,1,5,1,4]=>[{2,3,5},{6},{1,4}]=>[2,3,5,6,1,4]
[5,1,1,5,4,1]=>[{2,3,6},{5},{1,4}]=>[2,3,6,5,1,4]
[5,1,4,1,1,5]=>[{2,4,5},{3},{1,6}]=>[2,4,5,3,1,6]
[5,1,4,1,5,1]=>[{2,4,6},{3},{1,5}]=>[2,4,6,3,1,5]
[5,1,4,5,1,1]=>[{2,5,6},{3},{1,4}]=>[2,5,6,3,1,4]
[5,1,5,1,1,4]=>[{2,4,5},{6},{1,3}]=>[2,4,5,6,1,3]
[5,1,5,1,4,1]=>[{2,4,6},{5},{1,3}]=>[2,4,6,5,1,3]
[5,1,5,4,1,1]=>[{2,5,6},{4},{1,3}]=>[2,5,6,4,1,3]
[5,4,1,1,1,5]=>[{3,4,5},{2},{1,6}]=>[3,4,5,2,1,6]
[5,4,1,1,5,1]=>[{3,4,6},{2},{1,5}]=>[3,4,6,2,1,5]
[5,4,1,5,1,1]=>[{3,5,6},{2},{1,4}]=>[3,5,6,2,1,4]
[5,4,5,1,1,1]=>[{4,5,6},{2},{1,3}]=>[4,5,6,2,1,3]
[5,5,1,1,1,4]=>[{3,4,5},{6},{1,2}]=>[3,4,5,6,1,2]
[5,5,1,1,4,1]=>[{3,4,6},{5},{1,2}]=>[3,4,6,5,1,2]
[5,5,1,4,1,1]=>[{3,5,6},{4},{1,2}]=>[3,5,6,4,1,2]
[5,5,4,1,1,1]=>[{4,5,6},{3},{1,2}]=>[4,5,6,3,1,2]
[1,1,1,4,5,6]=>[{1,2,3},{4},{5},{6}]=>[1,2,3,4,5,6]
[1,1,1,4,6,5]=>[{1,2,3},{4},{6},{5}]=>[1,2,3,4,6,5]
[1,1,1,5,4,6]=>[{1,2,3},{5},{4},{6}]=>[1,2,3,5,4,6]
[1,1,1,5,6,4]=>[{1,2,3},{6},{4},{5}]=>[1,2,3,6,4,5]
[1,1,1,6,4,5]=>[{1,2,3},{5},{6},{4}]=>[1,2,3,5,6,4]
[1,1,1,6,5,4]=>[{1,2,3},{6},{5},{4}]=>[1,2,3,6,5,4]
[1,1,4,1,5,6]=>[{1,2,4},{3},{5},{6}]=>[1,2,4,3,5,6]
[1,1,4,1,6,5]=>[{1,2,4},{3},{6},{5}]=>[1,2,4,3,6,5]
[1,1,4,5,1,6]=>[{1,2,5},{3},{4},{6}]=>[1,2,5,3,4,6]
[1,1,4,5,6,1]=>[{1,2,6},{3},{4},{5}]=>[1,2,6,3,4,5]
[1,1,4,6,1,5]=>[{1,2,5},{3},{6},{4}]=>[1,2,5,3,6,4]
[1,1,4,6,5,1]=>[{1,2,6},{3},{5},{4}]=>[1,2,6,3,5,4]
[1,1,5,1,4,6]=>[{1,2,4},{5},{3},{6}]=>[1,2,4,5,3,6]
[1,1,5,1,6,4]=>[{1,2,4},{6},{3},{5}]=>[1,2,4,6,3,5]
[1,1,5,4,1,6]=>[{1,2,5},{4},{3},{6}]=>[1,2,5,4,3,6]
[1,1,5,4,6,1]=>[{1,2,6},{4},{3},{5}]=>[1,2,6,4,3,5]
[1,1,5,6,1,4]=>[{1,2,5},{6},{3},{4}]=>[1,2,5,6,3,4]
[1,1,5,6,4,1]=>[{1,2,6},{5},{3},{4}]=>[1,2,6,5,3,4]
[1,1,6,1,4,5]=>[{1,2,4},{5},{6},{3}]=>[1,2,4,5,6,3]
[1,1,6,1,5,4]=>[{1,2,4},{6},{5},{3}]=>[1,2,4,6,5,3]
[1,1,6,4,1,5]=>[{1,2,5},{4},{6},{3}]=>[1,2,5,4,6,3]
[1,1,6,4,5,1]=>[{1,2,6},{4},{5},{3}]=>[1,2,6,4,5,3]
[1,1,6,5,1,4]=>[{1,2,5},{6},{4},{3}]=>[1,2,5,6,4,3]
[1,1,6,5,4,1]=>[{1,2,6},{5},{4},{3}]=>[1,2,6,5,4,3]
[1,4,1,1,5,6]=>[{1,3,4},{2},{5},{6}]=>[1,3,4,2,5,6]
[1,4,1,1,6,5]=>[{1,3,4},{2},{6},{5}]=>[1,3,4,2,6,5]
[1,4,1,5,1,6]=>[{1,3,5},{2},{4},{6}]=>[1,3,5,2,4,6]
[1,4,1,5,6,1]=>[{1,3,6},{2},{4},{5}]=>[1,3,6,2,4,5]
[1,4,1,6,1,5]=>[{1,3,5},{2},{6},{4}]=>[1,3,5,2,6,4]
[1,4,1,6,5,1]=>[{1,3,6},{2},{5},{4}]=>[1,3,6,2,5,4]
[1,4,5,1,1,6]=>[{1,4,5},{2},{3},{6}]=>[1,4,5,2,3,6]
[1,4,5,1,6,1]=>[{1,4,6},{2},{3},{5}]=>[1,4,6,2,3,5]
[1,4,5,6,1,1]=>[{1,5,6},{2},{3},{4}]=>[1,5,6,2,3,4]
[1,4,6,1,1,5]=>[{1,4,5},{2},{6},{3}]=>[1,4,5,2,6,3]
[1,4,6,1,5,1]=>[{1,4,6},{2},{5},{3}]=>[1,4,6,2,5,3]
[1,4,6,5,1,1]=>[{1,5,6},{2},{4},{3}]=>[1,5,6,2,4,3]
[1,5,1,1,4,6]=>[{1,3,4},{5},{2},{6}]=>[1,3,4,5,2,6]
[1,5,1,1,6,4]=>[{1,3,4},{6},{2},{5}]=>[1,3,4,6,2,5]
[1,5,1,4,1,6]=>[{1,3,5},{4},{2},{6}]=>[1,3,5,4,2,6]
[1,5,1,4,6,1]=>[{1,3,6},{4},{2},{5}]=>[1,3,6,4,2,5]
[1,5,1,6,1,4]=>[{1,3,5},{6},{2},{4}]=>[1,3,5,6,2,4]
[1,5,1,6,4,1]=>[{1,3,6},{5},{2},{4}]=>[1,3,6,5,2,4]
[1,5,4,1,1,6]=>[{1,4,5},{3},{2},{6}]=>[1,4,5,3,2,6]
[1,5,4,1,6,1]=>[{1,4,6},{3},{2},{5}]=>[1,4,6,3,2,5]
[1,5,4,6,1,1]=>[{1,5,6},{3},{2},{4}]=>[1,5,6,3,2,4]
[1,5,6,1,1,4]=>[{1,4,5},{6},{2},{3}]=>[1,4,5,6,2,3]
[1,5,6,1,4,1]=>[{1,4,6},{5},{2},{3}]=>[1,4,6,5,2,3]
[1,5,6,4,1,1]=>[{1,5,6},{4},{2},{3}]=>[1,5,6,4,2,3]
[1,6,1,1,4,5]=>[{1,3,4},{5},{6},{2}]=>[1,3,4,5,6,2]
[1,6,1,1,5,4]=>[{1,3,4},{6},{5},{2}]=>[1,3,4,6,5,2]
[1,6,1,4,1,5]=>[{1,3,5},{4},{6},{2}]=>[1,3,5,4,6,2]
[1,6,1,4,5,1]=>[{1,3,6},{4},{5},{2}]=>[1,3,6,4,5,2]
[1,6,1,5,1,4]=>[{1,3,5},{6},{4},{2}]=>[1,3,5,6,4,2]
[1,6,1,5,4,1]=>[{1,3,6},{5},{4},{2}]=>[1,3,6,5,4,2]
[1,6,4,1,1,5]=>[{1,4,5},{3},{6},{2}]=>[1,4,5,3,6,2]
[1,6,4,1,5,1]=>[{1,4,6},{3},{5},{2}]=>[1,4,6,3,5,2]
[1,6,4,5,1,1]=>[{1,5,6},{3},{4},{2}]=>[1,5,6,3,4,2]
[1,6,5,1,1,4]=>[{1,4,5},{6},{3},{2}]=>[1,4,5,6,3,2]
[1,6,5,1,4,1]=>[{1,4,6},{5},{3},{2}]=>[1,4,6,5,3,2]
[1,6,5,4,1,1]=>[{1,5,6},{4},{3},{2}]=>[1,5,6,4,3,2]
[4,1,1,1,5,6]=>[{2,3,4},{1},{5},{6}]=>[2,3,4,1,5,6]
[4,1,1,1,6,5]=>[{2,3,4},{1},{6},{5}]=>[2,3,4,1,6,5]
[4,1,1,5,1,6]=>[{2,3,5},{1},{4},{6}]=>[2,3,5,1,4,6]
[4,1,1,5,6,1]=>[{2,3,6},{1},{4},{5}]=>[2,3,6,1,4,5]
[4,1,1,6,1,5]=>[{2,3,5},{1},{6},{4}]=>[2,3,5,1,6,4]
[4,1,1,6,5,1]=>[{2,3,6},{1},{5},{4}]=>[2,3,6,1,5,4]
[4,1,5,1,1,6]=>[{2,4,5},{1},{3},{6}]=>[2,4,5,1,3,6]
[4,1,5,1,6,1]=>[{2,4,6},{1},{3},{5}]=>[2,4,6,1,3,5]
[4,1,5,6,1,1]=>[{2,5,6},{1},{3},{4}]=>[2,5,6,1,3,4]
[4,1,6,1,1,5]=>[{2,4,5},{1},{6},{3}]=>[2,4,5,1,6,3]
[4,1,6,1,5,1]=>[{2,4,6},{1},{5},{3}]=>[2,4,6,1,5,3]
[4,1,6,5,1,1]=>[{2,5,6},{1},{4},{3}]=>[2,5,6,1,4,3]
[4,5,1,1,1,6]=>[{3,4,5},{1},{2},{6}]=>[3,4,5,1,2,6]
[4,5,1,1,6,1]=>[{3,4,6},{1},{2},{5}]=>[3,4,6,1,2,5]
[4,5,1,6,1,1]=>[{3,5,6},{1},{2},{4}]=>[3,5,6,1,2,4]
[4,5,6,1,1,1]=>[{4,5,6},{1},{2},{3}]=>[4,5,6,1,2,3]
[4,6,1,1,1,5]=>[{3,4,5},{1},{6},{2}]=>[3,4,5,1,6,2]
[4,6,1,1,5,1]=>[{3,4,6},{1},{5},{2}]=>[3,4,6,1,5,2]
[4,6,1,5,1,1]=>[{3,5,6},{1},{4},{2}]=>[3,5,6,1,4,2]
[4,6,5,1,1,1]=>[{4,5,6},{1},{3},{2}]=>[4,5,6,1,3,2]
[5,1,1,1,4,6]=>[{2,3,4},{5},{1},{6}]=>[2,3,4,5,1,6]
[5,1,1,1,6,4]=>[{2,3,4},{6},{1},{5}]=>[2,3,4,6,1,5]
[5,1,1,4,1,6]=>[{2,3,5},{4},{1},{6}]=>[2,3,5,4,1,6]
[5,1,1,4,6,1]=>[{2,3,6},{4},{1},{5}]=>[2,3,6,4,1,5]
[5,1,1,6,1,4]=>[{2,3,5},{6},{1},{4}]=>[2,3,5,6,1,4]
[5,1,1,6,4,1]=>[{2,3,6},{5},{1},{4}]=>[2,3,6,5,1,4]
[5,1,4,1,1,6]=>[{2,4,5},{3},{1},{6}]=>[2,4,5,3,1,6]
[5,1,4,1,6,1]=>[{2,4,6},{3},{1},{5}]=>[2,4,6,3,1,5]
[5,1,4,6,1,1]=>[{2,5,6},{3},{1},{4}]=>[2,5,6,3,1,4]
[5,1,6,1,1,4]=>[{2,4,5},{6},{1},{3}]=>[2,4,5,6,1,3]
[5,1,6,1,4,1]=>[{2,4,6},{5},{1},{3}]=>[2,4,6,5,1,3]
[5,1,6,4,1,1]=>[{2,5,6},{4},{1},{3}]=>[2,5,6,4,1,3]
[5,4,1,1,1,6]=>[{3,4,5},{2},{1},{6}]=>[3,4,5,2,1,6]
[5,4,1,1,6,1]=>[{3,4,6},{2},{1},{5}]=>[3,4,6,2,1,5]
[5,4,1,6,1,1]=>[{3,5,6},{2},{1},{4}]=>[3,5,6,2,1,4]
[5,4,6,1,1,1]=>[{4,5,6},{2},{1},{3}]=>[4,5,6,2,1,3]
[5,6,1,1,1,4]=>[{3,4,5},{6},{1},{2}]=>[3,4,5,6,1,2]
[5,6,1,1,4,1]=>[{3,4,6},{5},{1},{2}]=>[3,4,6,5,1,2]
[5,6,1,4,1,1]=>[{3,5,6},{4},{1},{2}]=>[3,5,6,4,1,2]
[5,6,4,1,1,1]=>[{4,5,6},{3},{1},{2}]=>[4,5,6,3,1,2]
[6,1,1,1,4,5]=>[{2,3,4},{5},{6},{1}]=>[2,3,4,5,6,1]
[6,1,1,1,5,4]=>[{2,3,4},{6},{5},{1}]=>[2,3,4,6,5,1]
[6,1,1,4,1,5]=>[{2,3,5},{4},{6},{1}]=>[2,3,5,4,6,1]
[6,1,1,4,5,1]=>[{2,3,6},{4},{5},{1}]=>[2,3,6,4,5,1]
[6,1,1,5,1,4]=>[{2,3,5},{6},{4},{1}]=>[2,3,5,6,4,1]
[6,1,1,5,4,1]=>[{2,3,6},{5},{4},{1}]=>[2,3,6,5,4,1]
[6,1,4,1,1,5]=>[{2,4,5},{3},{6},{1}]=>[2,4,5,3,6,1]
[6,1,4,1,5,1]=>[{2,4,6},{3},{5},{1}]=>[2,4,6,3,5,1]
[6,1,4,5,1,1]=>[{2,5,6},{3},{4},{1}]=>[2,5,6,3,4,1]
[6,1,5,1,1,4]=>[{2,4,5},{6},{3},{1}]=>[2,4,5,6,3,1]
[6,1,5,1,4,1]=>[{2,4,6},{5},{3},{1}]=>[2,4,6,5,3,1]
[6,1,5,4,1,1]=>[{2,5,6},{4},{3},{1}]=>[2,5,6,4,3,1]
[6,4,1,1,1,5]=>[{3,4,5},{2},{6},{1}]=>[3,4,5,2,6,1]
[6,4,1,1,5,1]=>[{3,4,6},{2},{5},{1}]=>[3,4,6,2,5,1]
[6,4,1,5,1,1]=>[{3,5,6},{2},{4},{1}]=>[3,5,6,2,4,1]
[6,4,5,1,1,1]=>[{4,5,6},{2},{3},{1}]=>[4,5,6,2,3,1]
[6,5,1,1,1,4]=>[{3,4,5},{6},{2},{1}]=>[3,4,5,6,2,1]
[6,5,1,1,4,1]=>[{3,4,6},{5},{2},{1}]=>[3,4,6,5,2,1]
[6,5,1,4,1,1]=>[{3,5,6},{4},{2},{1}]=>[3,5,6,4,2,1]
[6,5,4,1,1,1]=>[{4,5,6},{3},{2},{1}]=>[4,5,6,3,2,1]
[1,1,2,2,2,2]=>[{1,2},{3,4,5,6}]=>[1,2,3,4,5,6]
[1,2,1,2,2,2]=>[{1,3},{2,4,5,6}]=>[1,3,2,4,5,6]
[1,2,2,1,2,2]=>[{1,4},{2,3,5,6}]=>[1,4,2,3,5,6]
[1,2,2,2,1,2]=>[{1,5},{2,3,4,6}]=>[1,5,2,3,4,6]
[1,2,2,2,2,1]=>[{1,6},{2,3,4,5}]=>[1,6,2,3,4,5]
[2,1,1,2,2,2]=>[{2,3},{1,4,5,6}]=>[2,3,1,4,5,6]
[2,1,2,1,2,2]=>[{2,4},{1,3,5,6}]=>[2,4,1,3,5,6]
[2,1,2,2,1,2]=>[{2,5},{1,3,4,6}]=>[2,5,1,3,4,6]
[2,1,2,2,2,1]=>[{2,6},{1,3,4,5}]=>[2,6,1,3,4,5]
[2,2,1,1,2,2]=>[{3,4},{1,2,5,6}]=>[3,4,1,2,5,6]
[2,2,1,2,1,2]=>[{3,5},{1,2,4,6}]=>[3,5,1,2,4,6]
[2,2,1,2,2,1]=>[{3,6},{1,2,4,5}]=>[3,6,1,2,4,5]
[2,2,2,1,1,2]=>[{4,5},{1,2,3,6}]=>[4,5,1,2,3,6]
[2,2,2,1,2,1]=>[{4,6},{1,2,3,5}]=>[4,6,1,2,3,5]
[2,2,2,2,1,1]=>[{5,6},{1,2,3,4}]=>[5,6,1,2,3,4]
[1,1,2,2,2,3]=>[{1,2},{3,4,5},{6}]=>[1,2,3,4,5,6]
[1,1,2,2,3,2]=>[{1,2},{3,4,6},{5}]=>[1,2,3,4,6,5]
[1,1,2,3,2,2]=>[{1,2},{3,5,6},{4}]=>[1,2,3,5,6,4]
[1,1,3,2,2,2]=>[{1,2},{4,5,6},{3}]=>[1,2,4,5,6,3]
[1,2,1,2,2,3]=>[{1,3},{2,4,5},{6}]=>[1,3,2,4,5,6]
[1,2,1,2,3,2]=>[{1,3},{2,4,6},{5}]=>[1,3,2,4,6,5]
[1,2,1,3,2,2]=>[{1,3},{2,5,6},{4}]=>[1,3,2,5,6,4]
[1,2,2,1,2,3]=>[{1,4},{2,3,5},{6}]=>[1,4,2,3,5,6]
[1,2,2,1,3,2]=>[{1,4},{2,3,6},{5}]=>[1,4,2,3,6,5]
[1,2,2,2,1,3]=>[{1,5},{2,3,4},{6}]=>[1,5,2,3,4,6]
[1,2,2,2,3,1]=>[{1,6},{2,3,4},{5}]=>[1,6,2,3,4,5]
[1,2,2,3,1,2]=>[{1,5},{2,3,6},{4}]=>[1,5,2,3,6,4]
[1,2,2,3,2,1]=>[{1,6},{2,3,5},{4}]=>[1,6,2,3,5,4]
[1,2,3,1,2,2]=>[{1,4},{2,5,6},{3}]=>[1,4,2,5,6,3]
[1,2,3,2,1,2]=>[{1,5},{2,4,6},{3}]=>[1,5,2,4,6,3]
[1,2,3,2,2,1]=>[{1,6},{2,4,5},{3}]=>[1,6,2,4,5,3]
[1,3,1,2,2,2]=>[{1,3},{4,5,6},{2}]=>[1,3,4,5,6,2]
[1,3,2,1,2,2]=>[{1,4},{3,5,6},{2}]=>[1,4,3,5,6,2]
[1,3,2,2,1,2]=>[{1,5},{3,4,6},{2}]=>[1,5,3,4,6,2]
[1,3,2,2,2,1]=>[{1,6},{3,4,5},{2}]=>[1,6,3,4,5,2]
[2,1,1,2,2,3]=>[{2,3},{1,4,5},{6}]=>[2,3,1,4,5,6]
[2,1,1,2,3,2]=>[{2,3},{1,4,6},{5}]=>[2,3,1,4,6,5]
[2,1,1,3,2,2]=>[{2,3},{1,5,6},{4}]=>[2,3,1,5,6,4]
[2,1,2,1,2,3]=>[{2,4},{1,3,5},{6}]=>[2,4,1,3,5,6]
[2,1,2,1,3,2]=>[{2,4},{1,3,6},{5}]=>[2,4,1,3,6,5]
[2,1,2,2,1,3]=>[{2,5},{1,3,4},{6}]=>[2,5,1,3,4,6]
[2,1,2,2,3,1]=>[{2,6},{1,3,4},{5}]=>[2,6,1,3,4,5]
[2,1,2,3,1,2]=>[{2,5},{1,3,6},{4}]=>[2,5,1,3,6,4]
[2,1,2,3,2,1]=>[{2,6},{1,3,5},{4}]=>[2,6,1,3,5,4]
[2,1,3,1,2,2]=>[{2,4},{1,5,6},{3}]=>[2,4,1,5,6,3]
[2,1,3,2,1,2]=>[{2,5},{1,4,6},{3}]=>[2,5,1,4,6,3]
[2,1,3,2,2,1]=>[{2,6},{1,4,5},{3}]=>[2,6,1,4,5,3]
[2,2,1,1,2,3]=>[{3,4},{1,2,5},{6}]=>[3,4,1,2,5,6]
[2,2,1,1,3,2]=>[{3,4},{1,2,6},{5}]=>[3,4,1,2,6,5]
[2,2,1,2,1,3]=>[{3,5},{1,2,4},{6}]=>[3,5,1,2,4,6]
[2,2,1,2,3,1]=>[{3,6},{1,2,4},{5}]=>[3,6,1,2,4,5]
[2,2,1,3,1,2]=>[{3,5},{1,2,6},{4}]=>[3,5,1,2,6,4]
[2,2,1,3,2,1]=>[{3,6},{1,2,5},{4}]=>[3,6,1,2,5,4]
[2,2,2,1,1,3]=>[{4,5},{1,2,3},{6}]=>[4,5,1,2,3,6]
[2,2,2,1,3,1]=>[{4,6},{1,2,3},{5}]=>[4,6,1,2,3,5]
[2,2,2,3,1,1]=>[{5,6},{1,2,3},{4}]=>[5,6,1,2,3,4]
[2,2,3,1,1,2]=>[{4,5},{1,2,6},{3}]=>[4,5,1,2,6,3]
[2,2,3,1,2,1]=>[{4,6},{1,2,5},{3}]=>[4,6,1,2,5,3]
[2,2,3,2,1,1]=>[{5,6},{1,2,4},{3}]=>[5,6,1,2,4,3]
[2,3,1,1,2,2]=>[{3,4},{1,5,6},{2}]=>[3,4,1,5,6,2]
[2,3,1,2,1,2]=>[{3,5},{1,4,6},{2}]=>[3,5,1,4,6,2]
[2,3,1,2,2,1]=>[{3,6},{1,4,5},{2}]=>[3,6,1,4,5,2]
[2,3,2,1,1,2]=>[{4,5},{1,3,6},{2}]=>[4,5,1,3,6,2]
[2,3,2,1,2,1]=>[{4,6},{1,3,5},{2}]=>[4,6,1,3,5,2]
[2,3,2,2,1,1]=>[{5,6},{1,3,4},{2}]=>[5,6,1,3,4,2]
[3,1,1,2,2,2]=>[{2,3},{4,5,6},{1}]=>[2,3,4,5,6,1]
[3,1,2,1,2,2]=>[{2,4},{3,5,6},{1}]=>[2,4,3,5,6,1]
[3,1,2,2,1,2]=>[{2,5},{3,4,6},{1}]=>[2,5,3,4,6,1]
[3,1,2,2,2,1]=>[{2,6},{3,4,5},{1}]=>[2,6,3,4,5,1]
[3,2,1,1,2,2]=>[{3,4},{2,5,6},{1}]=>[3,4,2,5,6,1]
[3,2,1,2,1,2]=>[{3,5},{2,4,6},{1}]=>[3,5,2,4,6,1]
[3,2,1,2,2,1]=>[{3,6},{2,4,5},{1}]=>[3,6,2,4,5,1]
[3,2,2,1,1,2]=>[{4,5},{2,3,6},{1}]=>[4,5,2,3,6,1]
[3,2,2,1,2,1]=>[{4,6},{2,3,5},{1}]=>[4,6,2,3,5,1]
[3,2,2,2,1,1]=>[{5,6},{2,3,4},{1}]=>[5,6,2,3,4,1]
[1,1,2,2,2,4]=>[{1,2},{3,4,5},{6}]=>[1,2,3,4,5,6]
[1,1,2,2,4,2]=>[{1,2},{3,4,6},{5}]=>[1,2,3,4,6,5]
[1,1,2,4,2,2]=>[{1,2},{3,5,6},{4}]=>[1,2,3,5,6,4]
[1,1,4,2,2,2]=>[{1,2},{4,5,6},{3}]=>[1,2,4,5,6,3]
[1,2,1,2,2,4]=>[{1,3},{2,4,5},{6}]=>[1,3,2,4,5,6]
[1,2,1,2,4,2]=>[{1,3},{2,4,6},{5}]=>[1,3,2,4,6,5]
[1,2,1,4,2,2]=>[{1,3},{2,5,6},{4}]=>[1,3,2,5,6,4]
[1,2,2,1,2,4]=>[{1,4},{2,3,5},{6}]=>[1,4,2,3,5,6]
[1,2,2,1,4,2]=>[{1,4},{2,3,6},{5}]=>[1,4,2,3,6,5]
[1,2,2,2,1,4]=>[{1,5},{2,3,4},{6}]=>[1,5,2,3,4,6]
[1,2,2,2,4,1]=>[{1,6},{2,3,4},{5}]=>[1,6,2,3,4,5]
[1,2,2,4,1,2]=>[{1,5},{2,3,6},{4}]=>[1,5,2,3,6,4]
[1,2,2,4,2,1]=>[{1,6},{2,3,5},{4}]=>[1,6,2,3,5,4]
[1,2,4,1,2,2]=>[{1,4},{2,5,6},{3}]=>[1,4,2,5,6,3]
[1,2,4,2,1,2]=>[{1,5},{2,4,6},{3}]=>[1,5,2,4,6,3]
[1,2,4,2,2,1]=>[{1,6},{2,4,5},{3}]=>[1,6,2,4,5,3]
[1,4,1,2,2,2]=>[{1,3},{4,5,6},{2}]=>[1,3,4,5,6,2]
[1,4,2,1,2,2]=>[{1,4},{3,5,6},{2}]=>[1,4,3,5,6,2]
[1,4,2,2,1,2]=>[{1,5},{3,4,6},{2}]=>[1,5,3,4,6,2]
[1,4,2,2,2,1]=>[{1,6},{3,4,5},{2}]=>[1,6,3,4,5,2]
[2,1,1,2,2,4]=>[{2,3},{1,4,5},{6}]=>[2,3,1,4,5,6]
[2,1,1,2,4,2]=>[{2,3},{1,4,6},{5}]=>[2,3,1,4,6,5]
[2,1,1,4,2,2]=>[{2,3},{1,5,6},{4}]=>[2,3,1,5,6,4]
[2,1,2,1,2,4]=>[{2,4},{1,3,5},{6}]=>[2,4,1,3,5,6]
[2,1,2,1,4,2]=>[{2,4},{1,3,6},{5}]=>[2,4,1,3,6,5]
[2,1,2,2,1,4]=>[{2,5},{1,3,4},{6}]=>[2,5,1,3,4,6]
[2,1,2,2,4,1]=>[{2,6},{1,3,4},{5}]=>[2,6,1,3,4,5]
[2,1,2,4,1,2]=>[{2,5},{1,3,6},{4}]=>[2,5,1,3,6,4]
[2,1,2,4,2,1]=>[{2,6},{1,3,5},{4}]=>[2,6,1,3,5,4]
[2,1,4,1,2,2]=>[{2,4},{1,5,6},{3}]=>[2,4,1,5,6,3]
[2,1,4,2,1,2]=>[{2,5},{1,4,6},{3}]=>[2,5,1,4,6,3]
[2,1,4,2,2,1]=>[{2,6},{1,4,5},{3}]=>[2,6,1,4,5,3]
[2,2,1,1,2,4]=>[{3,4},{1,2,5},{6}]=>[3,4,1,2,5,6]
[2,2,1,1,4,2]=>[{3,4},{1,2,6},{5}]=>[3,4,1,2,6,5]
[2,2,1,2,1,4]=>[{3,5},{1,2,4},{6}]=>[3,5,1,2,4,6]
[2,2,1,2,4,1]=>[{3,6},{1,2,4},{5}]=>[3,6,1,2,4,5]
[2,2,1,4,1,2]=>[{3,5},{1,2,6},{4}]=>[3,5,1,2,6,4]
[2,2,1,4,2,1]=>[{3,6},{1,2,5},{4}]=>[3,6,1,2,5,4]
[2,2,2,1,1,4]=>[{4,5},{1,2,3},{6}]=>[4,5,1,2,3,6]
[2,2,2,1,4,1]=>[{4,6},{1,2,3},{5}]=>[4,6,1,2,3,5]
[2,2,2,4,1,1]=>[{5,6},{1,2,3},{4}]=>[5,6,1,2,3,4]
[2,2,4,1,1,2]=>[{4,5},{1,2,6},{3}]=>[4,5,1,2,6,3]
[2,2,4,1,2,1]=>[{4,6},{1,2,5},{3}]=>[4,6,1,2,5,3]
[2,2,4,2,1,1]=>[{5,6},{1,2,4},{3}]=>[5,6,1,2,4,3]
[2,4,1,1,2,2]=>[{3,4},{1,5,6},{2}]=>[3,4,1,5,6,2]
[2,4,1,2,1,2]=>[{3,5},{1,4,6},{2}]=>[3,5,1,4,6,2]
[2,4,1,2,2,1]=>[{3,6},{1,4,5},{2}]=>[3,6,1,4,5,2]
[2,4,2,1,1,2]=>[{4,5},{1,3,6},{2}]=>[4,5,1,3,6,2]
[2,4,2,1,2,1]=>[{4,6},{1,3,5},{2}]=>[4,6,1,3,5,2]
[2,4,2,2,1,1]=>[{5,6},{1,3,4},{2}]=>[5,6,1,3,4,2]
[4,1,1,2,2,2]=>[{2,3},{4,5,6},{1}]=>[2,3,4,5,6,1]
[4,1,2,1,2,2]=>[{2,4},{3,5,6},{1}]=>[2,4,3,5,6,1]
[4,1,2,2,1,2]=>[{2,5},{3,4,6},{1}]=>[2,5,3,4,6,1]
[4,1,2,2,2,1]=>[{2,6},{3,4,5},{1}]=>[2,6,3,4,5,1]
[4,2,1,1,2,2]=>[{3,4},{2,5,6},{1}]=>[3,4,2,5,6,1]
[4,2,1,2,1,2]=>[{3,5},{2,4,6},{1}]=>[3,5,2,4,6,1]
[4,2,1,2,2,1]=>[{3,6},{2,4,5},{1}]=>[3,6,2,4,5,1]
[4,2,2,1,1,2]=>[{4,5},{2,3,6},{1}]=>[4,5,2,3,6,1]
[4,2,2,1,2,1]=>[{4,6},{2,3,5},{1}]=>[4,6,2,3,5,1]
[4,2,2,2,1,1]=>[{5,6},{2,3,4},{1}]=>[5,6,2,3,4,1]
[1,1,2,2,2,5]=>[{1,2},{3,4,5},{6}]=>[1,2,3,4,5,6]
[1,1,2,2,5,2]=>[{1,2},{3,4,6},{5}]=>[1,2,3,4,6,5]
[1,1,2,5,2,2]=>[{1,2},{3,5,6},{4}]=>[1,2,3,5,6,4]
[1,1,5,2,2,2]=>[{1,2},{4,5,6},{3}]=>[1,2,4,5,6,3]
[1,2,1,2,2,5]=>[{1,3},{2,4,5},{6}]=>[1,3,2,4,5,6]
[1,2,1,2,5,2]=>[{1,3},{2,4,6},{5}]=>[1,3,2,4,6,5]
[1,2,1,5,2,2]=>[{1,3},{2,5,6},{4}]=>[1,3,2,5,6,4]
[1,2,2,1,2,5]=>[{1,4},{2,3,5},{6}]=>[1,4,2,3,5,6]
[1,2,2,1,5,2]=>[{1,4},{2,3,6},{5}]=>[1,4,2,3,6,5]
[1,2,2,2,1,5]=>[{1,5},{2,3,4},{6}]=>[1,5,2,3,4,6]
[1,2,2,2,5,1]=>[{1,6},{2,3,4},{5}]=>[1,6,2,3,4,5]
[1,2,2,5,1,2]=>[{1,5},{2,3,6},{4}]=>[1,5,2,3,6,4]
[1,2,2,5,2,1]=>[{1,6},{2,3,5},{4}]=>[1,6,2,3,5,4]
[1,2,5,1,2,2]=>[{1,4},{2,5,6},{3}]=>[1,4,2,5,6,3]
[1,2,5,2,1,2]=>[{1,5},{2,4,6},{3}]=>[1,5,2,4,6,3]
[1,2,5,2,2,1]=>[{1,6},{2,4,5},{3}]=>[1,6,2,4,5,3]
[1,5,1,2,2,2]=>[{1,3},{4,5,6},{2}]=>[1,3,4,5,6,2]
[1,5,2,1,2,2]=>[{1,4},{3,5,6},{2}]=>[1,4,3,5,6,2]
[1,5,2,2,1,2]=>[{1,5},{3,4,6},{2}]=>[1,5,3,4,6,2]
[1,5,2,2,2,1]=>[{1,6},{3,4,5},{2}]=>[1,6,3,4,5,2]
[2,1,1,2,2,5]=>[{2,3},{1,4,5},{6}]=>[2,3,1,4,5,6]
[2,1,1,2,5,2]=>[{2,3},{1,4,6},{5}]=>[2,3,1,4,6,5]
[2,1,1,5,2,2]=>[{2,3},{1,5,6},{4}]=>[2,3,1,5,6,4]
[2,1,2,1,2,5]=>[{2,4},{1,3,5},{6}]=>[2,4,1,3,5,6]
[2,1,2,1,5,2]=>[{2,4},{1,3,6},{5}]=>[2,4,1,3,6,5]
[2,1,2,2,1,5]=>[{2,5},{1,3,4},{6}]=>[2,5,1,3,4,6]
[2,1,2,2,5,1]=>[{2,6},{1,3,4},{5}]=>[2,6,1,3,4,5]
[2,1,2,5,1,2]=>[{2,5},{1,3,6},{4}]=>[2,5,1,3,6,4]
[2,1,2,5,2,1]=>[{2,6},{1,3,5},{4}]=>[2,6,1,3,5,4]
[2,1,5,1,2,2]=>[{2,4},{1,5,6},{3}]=>[2,4,1,5,6,3]
[2,1,5,2,1,2]=>[{2,5},{1,4,6},{3}]=>[2,5,1,4,6,3]
[2,1,5,2,2,1]=>[{2,6},{1,4,5},{3}]=>[2,6,1,4,5,3]
[2,2,1,1,2,5]=>[{3,4},{1,2,5},{6}]=>[3,4,1,2,5,6]
[2,2,1,1,5,2]=>[{3,4},{1,2,6},{5}]=>[3,4,1,2,6,5]
[2,2,1,2,1,5]=>[{3,5},{1,2,4},{6}]=>[3,5,1,2,4,6]
[2,2,1,2,5,1]=>[{3,6},{1,2,4},{5}]=>[3,6,1,2,4,5]
[2,2,1,5,1,2]=>[{3,5},{1,2,6},{4}]=>[3,5,1,2,6,4]
[2,2,1,5,2,1]=>[{3,6},{1,2,5},{4}]=>[3,6,1,2,5,4]
[2,2,2,1,1,5]=>[{4,5},{1,2,3},{6}]=>[4,5,1,2,3,6]
[2,2,2,1,5,1]=>[{4,6},{1,2,3},{5}]=>[4,6,1,2,3,5]
[2,2,2,5,1,1]=>[{5,6},{1,2,3},{4}]=>[5,6,1,2,3,4]
[2,2,5,1,1,2]=>[{4,5},{1,2,6},{3}]=>[4,5,1,2,6,3]
[2,2,5,1,2,1]=>[{4,6},{1,2,5},{3}]=>[4,6,1,2,5,3]
[2,2,5,2,1,1]=>[{5,6},{1,2,4},{3}]=>[5,6,1,2,4,3]
[2,5,1,1,2,2]=>[{3,4},{1,5,6},{2}]=>[3,4,1,5,6,2]
[2,5,1,2,1,2]=>[{3,5},{1,4,6},{2}]=>[3,5,1,4,6,2]
[2,5,1,2,2,1]=>[{3,6},{1,4,5},{2}]=>[3,6,1,4,5,2]
[2,5,2,1,1,2]=>[{4,5},{1,3,6},{2}]=>[4,5,1,3,6,2]
[2,5,2,1,2,1]=>[{4,6},{1,3,5},{2}]=>[4,6,1,3,5,2]
[2,5,2,2,1,1]=>[{5,6},{1,3,4},{2}]=>[5,6,1,3,4,2]
[5,1,1,2,2,2]=>[{2,3},{4,5,6},{1}]=>[2,3,4,5,6,1]
[5,1,2,1,2,2]=>[{2,4},{3,5,6},{1}]=>[2,4,3,5,6,1]
[5,1,2,2,1,2]=>[{2,5},{3,4,6},{1}]=>[2,5,3,4,6,1]
[5,1,2,2,2,1]=>[{2,6},{3,4,5},{1}]=>[2,6,3,4,5,1]
[5,2,1,1,2,2]=>[{3,4},{2,5,6},{1}]=>[3,4,2,5,6,1]
[5,2,1,2,1,2]=>[{3,5},{2,4,6},{1}]=>[3,5,2,4,6,1]
[5,2,1,2,2,1]=>[{3,6},{2,4,5},{1}]=>[3,6,2,4,5,1]
[5,2,2,1,1,2]=>[{4,5},{2,3,6},{1}]=>[4,5,2,3,6,1]
[5,2,2,1,2,1]=>[{4,6},{2,3,5},{1}]=>[4,6,2,3,5,1]
[5,2,2,2,1,1]=>[{5,6},{2,3,4},{1}]=>[5,6,2,3,4,1]
[1,1,2,2,2,6]=>[{1,2},{3,4,5},{6}]=>[1,2,3,4,5,6]
[1,1,2,2,6,2]=>[{1,2},{3,4,6},{5}]=>[1,2,3,4,6,5]
[1,1,2,6,2,2]=>[{1,2},{3,5,6},{4}]=>[1,2,3,5,6,4]
[1,1,6,2,2,2]=>[{1,2},{4,5,6},{3}]=>[1,2,4,5,6,3]
[1,2,1,2,2,6]=>[{1,3},{2,4,5},{6}]=>[1,3,2,4,5,6]
[1,2,1,2,6,2]=>[{1,3},{2,4,6},{5}]=>[1,3,2,4,6,5]
[1,2,1,6,2,2]=>[{1,3},{2,5,6},{4}]=>[1,3,2,5,6,4]
[1,2,2,1,2,6]=>[{1,4},{2,3,5},{6}]=>[1,4,2,3,5,6]
[1,2,2,1,6,2]=>[{1,4},{2,3,6},{5}]=>[1,4,2,3,6,5]
[1,2,2,2,1,6]=>[{1,5},{2,3,4},{6}]=>[1,5,2,3,4,6]
[1,2,2,2,6,1]=>[{1,6},{2,3,4},{5}]=>[1,6,2,3,4,5]
[1,2,2,6,1,2]=>[{1,5},{2,3,6},{4}]=>[1,5,2,3,6,4]
[1,2,2,6,2,1]=>[{1,6},{2,3,5},{4}]=>[1,6,2,3,5,4]
[1,2,6,1,2,2]=>[{1,4},{2,5,6},{3}]=>[1,4,2,5,6,3]
[1,2,6,2,1,2]=>[{1,5},{2,4,6},{3}]=>[1,5,2,4,6,3]
[1,2,6,2,2,1]=>[{1,6},{2,4,5},{3}]=>[1,6,2,4,5,3]
[1,6,1,2,2,2]=>[{1,3},{4,5,6},{2}]=>[1,3,4,5,6,2]
[1,6,2,1,2,2]=>[{1,4},{3,5,6},{2}]=>[1,4,3,5,6,2]
[1,6,2,2,1,2]=>[{1,5},{3,4,6},{2}]=>[1,5,3,4,6,2]
[1,6,2,2,2,1]=>[{1,6},{3,4,5},{2}]=>[1,6,3,4,5,2]
[2,1,1,2,2,6]=>[{2,3},{1,4,5},{6}]=>[2,3,1,4,5,6]
[2,1,1,2,6,2]=>[{2,3},{1,4,6},{5}]=>[2,3,1,4,6,5]
[2,1,1,6,2,2]=>[{2,3},{1,5,6},{4}]=>[2,3,1,5,6,4]
[2,1,2,1,2,6]=>[{2,4},{1,3,5},{6}]=>[2,4,1,3,5,6]
[2,1,2,1,6,2]=>[{2,4},{1,3,6},{5}]=>[2,4,1,3,6,5]
[2,1,2,2,1,6]=>[{2,5},{1,3,4},{6}]=>[2,5,1,3,4,6]
[2,1,2,2,6,1]=>[{2,6},{1,3,4},{5}]=>[2,6,1,3,4,5]
[2,1,2,6,1,2]=>[{2,5},{1,3,6},{4}]=>[2,5,1,3,6,4]
[2,1,2,6,2,1]=>[{2,6},{1,3,5},{4}]=>[2,6,1,3,5,4]
[2,1,6,1,2,2]=>[{2,4},{1,5,6},{3}]=>[2,4,1,5,6,3]
[2,1,6,2,1,2]=>[{2,5},{1,4,6},{3}]=>[2,5,1,4,6,3]
[2,1,6,2,2,1]=>[{2,6},{1,4,5},{3}]=>[2,6,1,4,5,3]
[2,2,1,1,2,6]=>[{3,4},{1,2,5},{6}]=>[3,4,1,2,5,6]
[2,2,1,1,6,2]=>[{3,4},{1,2,6},{5}]=>[3,4,1,2,6,5]
[2,2,1,2,1,6]=>[{3,5},{1,2,4},{6}]=>[3,5,1,2,4,6]
[2,2,1,2,6,1]=>[{3,6},{1,2,4},{5}]=>[3,6,1,2,4,5]
[2,2,1,6,1,2]=>[{3,5},{1,2,6},{4}]=>[3,5,1,2,6,4]
[2,2,1,6,2,1]=>[{3,6},{1,2,5},{4}]=>[3,6,1,2,5,4]
[2,2,2,1,1,6]=>[{4,5},{1,2,3},{6}]=>[4,5,1,2,3,6]
[2,2,2,1,6,1]=>[{4,6},{1,2,3},{5}]=>[4,6,1,2,3,5]
[2,2,2,6,1,1]=>[{5,6},{1,2,3},{4}]=>[5,6,1,2,3,4]
[2,2,6,1,1,2]=>[{4,5},{1,2,6},{3}]=>[4,5,1,2,6,3]
[2,2,6,1,2,1]=>[{4,6},{1,2,5},{3}]=>[4,6,1,2,5,3]
[2,2,6,2,1,1]=>[{5,6},{1,2,4},{3}]=>[5,6,1,2,4,3]
[2,6,1,1,2,2]=>[{3,4},{1,5,6},{2}]=>[3,4,1,5,6,2]
[2,6,1,2,1,2]=>[{3,5},{1,4,6},{2}]=>[3,5,1,4,6,2]
[2,6,1,2,2,1]=>[{3,6},{1,4,5},{2}]=>[3,6,1,4,5,2]
[2,6,2,1,1,2]=>[{4,5},{1,3,6},{2}]=>[4,5,1,3,6,2]
[2,6,2,1,2,1]=>[{4,6},{1,3,5},{2}]=>[4,6,1,3,5,2]
[2,6,2,2,1,1]=>[{5,6},{1,3,4},{2}]=>[5,6,1,3,4,2]
[6,1,1,2,2,2]=>[{2,3},{4,5,6},{1}]=>[2,3,4,5,6,1]
[6,1,2,1,2,2]=>[{2,4},{3,5,6},{1}]=>[2,4,3,5,6,1]
[6,1,2,2,1,2]=>[{2,5},{3,4,6},{1}]=>[2,5,3,4,6,1]
[6,1,2,2,2,1]=>[{2,6},{3,4,5},{1}]=>[2,6,3,4,5,1]
[6,2,1,1,2,2]=>[{3,4},{2,5,6},{1}]=>[3,4,2,5,6,1]
[6,2,1,2,1,2]=>[{3,5},{2,4,6},{1}]=>[3,5,2,4,6,1]
[6,2,1,2,2,1]=>[{3,6},{2,4,5},{1}]=>[3,6,2,4,5,1]
[6,2,2,1,1,2]=>[{4,5},{2,3,6},{1}]=>[4,5,2,3,6,1]
[6,2,2,1,2,1]=>[{4,6},{2,3,5},{1}]=>[4,6,2,3,5,1]
[6,2,2,2,1,1]=>[{5,6},{2,3,4},{1}]=>[5,6,2,3,4,1]
[1,1,2,2,3,3]=>[{1,2},{3,4},{5,6}]=>[1,2,3,4,5,6]
[1,1,2,3,2,3]=>[{1,2},{3,5},{4,6}]=>[1,2,3,5,4,6]
[1,1,2,3,3,2]=>[{1,2},{3,6},{4,5}]=>[1,2,3,6,4,5]
[1,1,3,2,2,3]=>[{1,2},{4,5},{3,6}]=>[1,2,4,5,3,6]
[1,1,3,2,3,2]=>[{1,2},{4,6},{3,5}]=>[1,2,4,6,3,5]
[1,1,3,3,2,2]=>[{1,2},{5,6},{3,4}]=>[1,2,5,6,3,4]
[1,2,1,2,3,3]=>[{1,3},{2,4},{5,6}]=>[1,3,2,4,5,6]
[1,2,1,3,2,3]=>[{1,3},{2,5},{4,6}]=>[1,3,2,5,4,6]
[1,2,1,3,3,2]=>[{1,3},{2,6},{4,5}]=>[1,3,2,6,4,5]
[1,2,2,1,3,3]=>[{1,4},{2,3},{5,6}]=>[1,4,2,3,5,6]
[1,2,2,3,1,3]=>[{1,5},{2,3},{4,6}]=>[1,5,2,3,4,6]
[1,2,2,3,3,1]=>[{1,6},{2,3},{4,5}]=>[1,6,2,3,4,5]
[1,2,3,1,2,3]=>[{1,4},{2,5},{3,6}]=>[1,4,2,5,3,6]
[1,2,3,1,3,2]=>[{1,4},{2,6},{3,5}]=>[1,4,2,6,3,5]
[1,2,3,2,1,3]=>[{1,5},{2,4},{3,6}]=>[1,5,2,4,3,6]
[1,2,3,2,3,1]=>[{1,6},{2,4},{3,5}]=>[1,6,2,4,3,5]
[1,2,3,3,1,2]=>[{1,5},{2,6},{3,4}]=>[1,5,2,6,3,4]
[1,2,3,3,2,1]=>[{1,6},{2,5},{3,4}]=>[1,6,2,5,3,4]
[1,3,1,2,2,3]=>[{1,3},{4,5},{2,6}]=>[1,3,4,5,2,6]
[1,3,1,2,3,2]=>[{1,3},{4,6},{2,5}]=>[1,3,4,6,2,5]
[1,3,1,3,2,2]=>[{1,3},{5,6},{2,4}]=>[1,3,5,6,2,4]
[1,3,2,1,2,3]=>[{1,4},{3,5},{2,6}]=>[1,4,3,5,2,6]
[1,3,2,1,3,2]=>[{1,4},{3,6},{2,5}]=>[1,4,3,6,2,5]
[1,3,2,2,1,3]=>[{1,5},{3,4},{2,6}]=>[1,5,3,4,2,6]
[1,3,2,2,3,1]=>[{1,6},{3,4},{2,5}]=>[1,6,3,4,2,5]
[1,3,2,3,1,2]=>[{1,5},{3,6},{2,4}]=>[1,5,3,6,2,4]
[1,3,2,3,2,1]=>[{1,6},{3,5},{2,4}]=>[1,6,3,5,2,4]
[1,3,3,1,2,2]=>[{1,4},{5,6},{2,3}]=>[1,4,5,6,2,3]
[1,3,3,2,1,2]=>[{1,5},{4,6},{2,3}]=>[1,5,4,6,2,3]
[1,3,3,2,2,1]=>[{1,6},{4,5},{2,3}]=>[1,6,4,5,2,3]
[2,1,1,2,3,3]=>[{2,3},{1,4},{5,6}]=>[2,3,1,4,5,6]
[2,1,1,3,2,3]=>[{2,3},{1,5},{4,6}]=>[2,3,1,5,4,6]
[2,1,1,3,3,2]=>[{2,3},{1,6},{4,5}]=>[2,3,1,6,4,5]
[2,1,2,1,3,3]=>[{2,4},{1,3},{5,6}]=>[2,4,1,3,5,6]
[2,1,2,3,1,3]=>[{2,5},{1,3},{4,6}]=>[2,5,1,3,4,6]
[2,1,2,3,3,1]=>[{2,6},{1,3},{4,5}]=>[2,6,1,3,4,5]
[2,1,3,1,2,3]=>[{2,4},{1,5},{3,6}]=>[2,4,1,5,3,6]
[2,1,3,1,3,2]=>[{2,4},{1,6},{3,5}]=>[2,4,1,6,3,5]
[2,1,3,2,1,3]=>[{2,5},{1,4},{3,6}]=>[2,5,1,4,3,6]
[2,1,3,2,3,1]=>[{2,6},{1,4},{3,5}]=>[2,6,1,4,3,5]
[2,1,3,3,1,2]=>[{2,5},{1,6},{3,4}]=>[2,5,1,6,3,4]
[2,1,3,3,2,1]=>[{2,6},{1,5},{3,4}]=>[2,6,1,5,3,4]
[2,2,1,1,3,3]=>[{3,4},{1,2},{5,6}]=>[3,4,1,2,5,6]
[2,2,1,3,1,3]=>[{3,5},{1,2},{4,6}]=>[3,5,1,2,4,6]
[2,2,1,3,3,1]=>[{3,6},{1,2},{4,5}]=>[3,6,1,2,4,5]
[2,2,3,1,1,3]=>[{4,5},{1,2},{3,6}]=>[4,5,1,2,3,6]
[2,2,3,1,3,1]=>[{4,6},{1,2},{3,5}]=>[4,6,1,2,3,5]
[2,2,3,3,1,1]=>[{5,6},{1,2},{3,4}]=>[5,6,1,2,3,4]
[2,3,1,1,2,3]=>[{3,4},{1,5},{2,6}]=>[3,4,1,5,2,6]
[2,3,1,1,3,2]=>[{3,4},{1,6},{2,5}]=>[3,4,1,6,2,5]
[2,3,1,2,1,3]=>[{3,5},{1,4},{2,6}]=>[3,5,1,4,2,6]
[2,3,1,2,3,1]=>[{3,6},{1,4},{2,5}]=>[3,6,1,4,2,5]
[2,3,1,3,1,2]=>[{3,5},{1,6},{2,4}]=>[3,5,1,6,2,4]
[2,3,1,3,2,1]=>[{3,6},{1,5},{2,4}]=>[3,6,1,5,2,4]
[2,3,2,1,1,3]=>[{4,5},{1,3},{2,6}]=>[4,5,1,3,2,6]
[2,3,2,1,3,1]=>[{4,6},{1,3},{2,5}]=>[4,6,1,3,2,5]
[2,3,2,3,1,1]=>[{5,6},{1,3},{2,4}]=>[5,6,1,3,2,4]
[2,3,3,1,1,2]=>[{4,5},{1,6},{2,3}]=>[4,5,1,6,2,3]
[2,3,3,1,2,1]=>[{4,6},{1,5},{2,3}]=>[4,6,1,5,2,3]
[2,3,3,2,1,1]=>[{5,6},{1,4},{2,3}]=>[5,6,1,4,2,3]
[3,1,1,2,2,3]=>[{2,3},{4,5},{1,6}]=>[2,3,4,5,1,6]
[3,1,1,2,3,2]=>[{2,3},{4,6},{1,5}]=>[2,3,4,6,1,5]
[3,1,1,3,2,2]=>[{2,3},{5,6},{1,4}]=>[2,3,5,6,1,4]
[3,1,2,1,2,3]=>[{2,4},{3,5},{1,6}]=>[2,4,3,5,1,6]
[3,1,2,1,3,2]=>[{2,4},{3,6},{1,5}]=>[2,4,3,6,1,5]
[3,1,2,2,1,3]=>[{2,5},{3,4},{1,6}]=>[2,5,3,4,1,6]
[3,1,2,2,3,1]=>[{2,6},{3,4},{1,5}]=>[2,6,3,4,1,5]
[3,1,2,3,1,2]=>[{2,5},{3,6},{1,4}]=>[2,5,3,6,1,4]
[3,1,2,3,2,1]=>[{2,6},{3,5},{1,4}]=>[2,6,3,5,1,4]
[3,1,3,1,2,2]=>[{2,4},{5,6},{1,3}]=>[2,4,5,6,1,3]
[3,1,3,2,1,2]=>[{2,5},{4,6},{1,3}]=>[2,5,4,6,1,3]
[3,1,3,2,2,1]=>[{2,6},{4,5},{1,3}]=>[2,6,4,5,1,3]
[3,2,1,1,2,3]=>[{3,4},{2,5},{1,6}]=>[3,4,2,5,1,6]
[3,2,1,1,3,2]=>[{3,4},{2,6},{1,5}]=>[3,4,2,6,1,5]
[3,2,1,2,1,3]=>[{3,5},{2,4},{1,6}]=>[3,5,2,4,1,6]
[3,2,1,2,3,1]=>[{3,6},{2,4},{1,5}]=>[3,6,2,4,1,5]
[3,2,1,3,1,2]=>[{3,5},{2,6},{1,4}]=>[3,5,2,6,1,4]
[3,2,1,3,2,1]=>[{3,6},{2,5},{1,4}]=>[3,6,2,5,1,4]
[3,2,2,1,1,3]=>[{4,5},{2,3},{1,6}]=>[4,5,2,3,1,6]
[3,2,2,1,3,1]=>[{4,6},{2,3},{1,5}]=>[4,6,2,3,1,5]
[3,2,2,3,1,1]=>[{5,6},{2,3},{1,4}]=>[5,6,2,3,1,4]
[3,2,3,1,1,2]=>[{4,5},{2,6},{1,3}]=>[4,5,2,6,1,3]
[3,2,3,1,2,1]=>[{4,6},{2,5},{1,3}]=>[4,6,2,5,1,3]
[3,2,3,2,1,1]=>[{5,6},{2,4},{1,3}]=>[5,6,2,4,1,3]
[3,3,1,1,2,2]=>[{3,4},{5,6},{1,2}]=>[3,4,5,6,1,2]
[3,3,1,2,1,2]=>[{3,5},{4,6},{1,2}]=>[3,5,4,6,1,2]
[3,3,1,2,2,1]=>[{3,6},{4,5},{1,2}]=>[3,6,4,5,1,2]
[3,3,2,1,1,2]=>[{4,5},{3,6},{1,2}]=>[4,5,3,6,1,2]
[3,3,2,1,2,1]=>[{4,6},{3,5},{1,2}]=>[4,6,3,5,1,2]
[3,3,2,2,1,1]=>[{5,6},{3,4},{1,2}]=>[5,6,3,4,1,2]
[1,1,2,2,3,4]=>[{1,2},{3,4},{5},{6}]=>[1,2,3,4,5,6]
[1,1,2,2,4,3]=>[{1,2},{3,4},{6},{5}]=>[1,2,3,4,6,5]
[1,1,2,3,2,4]=>[{1,2},{3,5},{4},{6}]=>[1,2,3,5,4,6]
[1,1,2,3,4,2]=>[{1,2},{3,6},{4},{5}]=>[1,2,3,6,4,5]
[1,1,2,4,2,3]=>[{1,2},{3,5},{6},{4}]=>[1,2,3,5,6,4]
[1,1,2,4,3,2]=>[{1,2},{3,6},{5},{4}]=>[1,2,3,6,5,4]
[1,1,3,2,2,4]=>[{1,2},{4,5},{3},{6}]=>[1,2,4,5,3,6]
[1,1,3,2,4,2]=>[{1,2},{4,6},{3},{5}]=>[1,2,4,6,3,5]
[1,1,3,4,2,2]=>[{1,2},{5,6},{3},{4}]=>[1,2,5,6,3,4]
[1,1,4,2,2,3]=>[{1,2},{4,5},{6},{3}]=>[1,2,4,5,6,3]
[1,1,4,2,3,2]=>[{1,2},{4,6},{5},{3}]=>[1,2,4,6,5,3]
[1,1,4,3,2,2]=>[{1,2},{5,6},{4},{3}]=>[1,2,5,6,4,3]
[1,2,1,2,3,4]=>[{1,3},{2,4},{5},{6}]=>[1,3,2,4,5,6]
[1,2,1,2,4,3]=>[{1,3},{2,4},{6},{5}]=>[1,3,2,4,6,5]
[1,2,1,3,2,4]=>[{1,3},{2,5},{4},{6}]=>[1,3,2,5,4,6]
[1,2,1,3,4,2]=>[{1,3},{2,6},{4},{5}]=>[1,3,2,6,4,5]
[1,2,1,4,2,3]=>[{1,3},{2,5},{6},{4}]=>[1,3,2,5,6,4]
[1,2,1,4,3,2]=>[{1,3},{2,6},{5},{4}]=>[1,3,2,6,5,4]
[1,2,2,1,3,4]=>[{1,4},{2,3},{5},{6}]=>[1,4,2,3,5,6]
[1,2,2,1,4,3]=>[{1,4},{2,3},{6},{5}]=>[1,4,2,3,6,5]
[1,2,2,3,1,4]=>[{1,5},{2,3},{4},{6}]=>[1,5,2,3,4,6]
[1,2,2,3,4,1]=>[{1,6},{2,3},{4},{5}]=>[1,6,2,3,4,5]
[1,2,2,4,1,3]=>[{1,5},{2,3},{6},{4}]=>[1,5,2,3,6,4]
[1,2,2,4,3,1]=>[{1,6},{2,3},{5},{4}]=>[1,6,2,3,5,4]
[1,2,3,1,2,4]=>[{1,4},{2,5},{3},{6}]=>[1,4,2,5,3,6]
[1,2,3,1,4,2]=>[{1,4},{2,6},{3},{5}]=>[1,4,2,6,3,5]
[1,2,3,2,1,4]=>[{1,5},{2,4},{3},{6}]=>[1,5,2,4,3,6]
[1,2,3,2,4,1]=>[{1,6},{2,4},{3},{5}]=>[1,6,2,4,3,5]
[1,2,3,4,1,2]=>[{1,5},{2,6},{3},{4}]=>[1,5,2,6,3,4]
[1,2,3,4,2,1]=>[{1,6},{2,5},{3},{4}]=>[1,6,2,5,3,4]
[1,2,4,1,2,3]=>[{1,4},{2,5},{6},{3}]=>[1,4,2,5,6,3]
[1,2,4,1,3,2]=>[{1,4},{2,6},{5},{3}]=>[1,4,2,6,5,3]
[1,2,4,2,1,3]=>[{1,5},{2,4},{6},{3}]=>[1,5,2,4,6,3]
[1,2,4,2,3,1]=>[{1,6},{2,4},{5},{3}]=>[1,6,2,4,5,3]
[1,2,4,3,1,2]=>[{1,5},{2,6},{4},{3}]=>[1,5,2,6,4,3]
[1,2,4,3,2,1]=>[{1,6},{2,5},{4},{3}]=>[1,6,2,5,4,3]
[1,3,1,2,2,4]=>[{1,3},{4,5},{2},{6}]=>[1,3,4,5,2,6]
[1,3,1,2,4,2]=>[{1,3},{4,6},{2},{5}]=>[1,3,4,6,2,5]
[1,3,1,4,2,2]=>[{1,3},{5,6},{2},{4}]=>[1,3,5,6,2,4]
[1,3,2,1,2,4]=>[{1,4},{3,5},{2},{6}]=>[1,4,3,5,2,6]
[1,3,2,1,4,2]=>[{1,4},{3,6},{2},{5}]=>[1,4,3,6,2,5]
[1,3,2,2,1,4]=>[{1,5},{3,4},{2},{6}]=>[1,5,3,4,2,6]
[1,3,2,2,4,1]=>[{1,6},{3,4},{2},{5}]=>[1,6,3,4,2,5]
[1,3,2,4,1,2]=>[{1,5},{3,6},{2},{4}]=>[1,5,3,6,2,4]
[1,3,2,4,2,1]=>[{1,6},{3,5},{2},{4}]=>[1,6,3,5,2,4]
[1,3,4,1,2,2]=>[{1,4},{5,6},{2},{3}]=>[1,4,5,6,2,3]
[1,3,4,2,1,2]=>[{1,5},{4,6},{2},{3}]=>[1,5,4,6,2,3]
[1,3,4,2,2,1]=>[{1,6},{4,5},{2},{3}]=>[1,6,4,5,2,3]
[1,4,1,2,2,3]=>[{1,3},{4,5},{6},{2}]=>[1,3,4,5,6,2]
[1,4,1,2,3,2]=>[{1,3},{4,6},{5},{2}]=>[1,3,4,6,5,2]
[1,4,1,3,2,2]=>[{1,3},{5,6},{4},{2}]=>[1,3,5,6,4,2]
[1,4,2,1,2,3]=>[{1,4},{3,5},{6},{2}]=>[1,4,3,5,6,2]
[1,4,2,1,3,2]=>[{1,4},{3,6},{5},{2}]=>[1,4,3,6,5,2]
[1,4,2,2,1,3]=>[{1,5},{3,4},{6},{2}]=>[1,5,3,4,6,2]
[1,4,2,2,3,1]=>[{1,6},{3,4},{5},{2}]=>[1,6,3,4,5,2]
[1,4,2,3,1,2]=>[{1,5},{3,6},{4},{2}]=>[1,5,3,6,4,2]
[1,4,2,3,2,1]=>[{1,6},{3,5},{4},{2}]=>[1,6,3,5,4,2]
[1,4,3,1,2,2]=>[{1,4},{5,6},{3},{2}]=>[1,4,5,6,3,2]
[1,4,3,2,1,2]=>[{1,5},{4,6},{3},{2}]=>[1,5,4,6,3,2]
[1,4,3,2,2,1]=>[{1,6},{4,5},{3},{2}]=>[1,6,4,5,3,2]
[2,1,1,2,3,4]=>[{2,3},{1,4},{5},{6}]=>[2,3,1,4,5,6]
[2,1,1,2,4,3]=>[{2,3},{1,4},{6},{5}]=>[2,3,1,4,6,5]
[2,1,1,3,2,4]=>[{2,3},{1,5},{4},{6}]=>[2,3,1,5,4,6]
[2,1,1,3,4,2]=>[{2,3},{1,6},{4},{5}]=>[2,3,1,6,4,5]
[2,1,1,4,2,3]=>[{2,3},{1,5},{6},{4}]=>[2,3,1,5,6,4]
[2,1,1,4,3,2]=>[{2,3},{1,6},{5},{4}]=>[2,3,1,6,5,4]
[2,1,2,1,3,4]=>[{2,4},{1,3},{5},{6}]=>[2,4,1,3,5,6]
[2,1,2,1,4,3]=>[{2,4},{1,3},{6},{5}]=>[2,4,1,3,6,5]
[2,1,2,3,1,4]=>[{2,5},{1,3},{4},{6}]=>[2,5,1,3,4,6]
[2,1,2,3,4,1]=>[{2,6},{1,3},{4},{5}]=>[2,6,1,3,4,5]
[2,1,2,4,1,3]=>[{2,5},{1,3},{6},{4}]=>[2,5,1,3,6,4]
[2,1,2,4,3,1]=>[{2,6},{1,3},{5},{4}]=>[2,6,1,3,5,4]
[2,1,3,1,2,4]=>[{2,4},{1,5},{3},{6}]=>[2,4,1,5,3,6]
[2,1,3,1,4,2]=>[{2,4},{1,6},{3},{5}]=>[2,4,1,6,3,5]
[2,1,3,2,1,4]=>[{2,5},{1,4},{3},{6}]=>[2,5,1,4,3,6]
[2,1,3,2,4,1]=>[{2,6},{1,4},{3},{5}]=>[2,6,1,4,3,5]
[2,1,3,4,1,2]=>[{2,5},{1,6},{3},{4}]=>[2,5,1,6,3,4]
[2,1,3,4,2,1]=>[{2,6},{1,5},{3},{4}]=>[2,6,1,5,3,4]
[2,1,4,1,2,3]=>[{2,4},{1,5},{6},{3}]=>[2,4,1,5,6,3]
[2,1,4,1,3,2]=>[{2,4},{1,6},{5},{3}]=>[2,4,1,6,5,3]
[2,1,4,2,1,3]=>[{2,5},{1,4},{6},{3}]=>[2,5,1,4,6,3]
[2,1,4,2,3,1]=>[{2,6},{1,4},{5},{3}]=>[2,6,1,4,5,3]
[2,1,4,3,1,2]=>[{2,5},{1,6},{4},{3}]=>[2,5,1,6,4,3]
[2,1,4,3,2,1]=>[{2,6},{1,5},{4},{3}]=>[2,6,1,5,4,3]
[2,2,1,1,3,4]=>[{3,4},{1,2},{5},{6}]=>[3,4,1,2,5,6]
[2,2,1,1,4,3]=>[{3,4},{1,2},{6},{5}]=>[3,4,1,2,6,5]
[2,2,1,3,1,4]=>[{3,5},{1,2},{4},{6}]=>[3,5,1,2,4,6]
[2,2,1,3,4,1]=>[{3,6},{1,2},{4},{5}]=>[3,6,1,2,4,5]
[2,2,1,4,1,3]=>[{3,5},{1,2},{6},{4}]=>[3,5,1,2,6,4]
[2,2,1,4,3,1]=>[{3,6},{1,2},{5},{4}]=>[3,6,1,2,5,4]
[2,2,3,1,1,4]=>[{4,5},{1,2},{3},{6}]=>[4,5,1,2,3,6]
[2,2,3,1,4,1]=>[{4,6},{1,2},{3},{5}]=>[4,6,1,2,3,5]
[2,2,3,4,1,1]=>[{5,6},{1,2},{3},{4}]=>[5,6,1,2,3,4]
[2,2,4,1,1,3]=>[{4,5},{1,2},{6},{3}]=>[4,5,1,2,6,3]
[2,2,4,1,3,1]=>[{4,6},{1,2},{5},{3}]=>[4,6,1,2,5,3]
[2,2,4,3,1,1]=>[{5,6},{1,2},{4},{3}]=>[5,6,1,2,4,3]
[2,3,1,1,2,4]=>[{3,4},{1,5},{2},{6}]=>[3,4,1,5,2,6]
[2,3,1,1,4,2]=>[{3,4},{1,6},{2},{5}]=>[3,4,1,6,2,5]
[2,3,1,2,1,4]=>[{3,5},{1,4},{2},{6}]=>[3,5,1,4,2,6]
[2,3,1,2,4,1]=>[{3,6},{1,4},{2},{5}]=>[3,6,1,4,2,5]
[2,3,1,4,1,2]=>[{3,5},{1,6},{2},{4}]=>[3,5,1,6,2,4]
[2,3,1,4,2,1]=>[{3,6},{1,5},{2},{4}]=>[3,6,1,5,2,4]
[2,3,2,1,1,4]=>[{4,5},{1,3},{2},{6}]=>[4,5,1,3,2,6]
[2,3,2,1,4,1]=>[{4,6},{1,3},{2},{5}]=>[4,6,1,3,2,5]
[2,3,2,4,1,1]=>[{5,6},{1,3},{2},{4}]=>[5,6,1,3,2,4]
[2,3,4,1,1,2]=>[{4,5},{1,6},{2},{3}]=>[4,5,1,6,2,3]
[2,3,4,1,2,1]=>[{4,6},{1,5},{2},{3}]=>[4,6,1,5,2,3]
[2,3,4,2,1,1]=>[{5,6},{1,4},{2},{3}]=>[5,6,1,4,2,3]
[2,4,1,1,2,3]=>[{3,4},{1,5},{6},{2}]=>[3,4,1,5,6,2]
[2,4,1,1,3,2]=>[{3,4},{1,6},{5},{2}]=>[3,4,1,6,5,2]
[2,4,1,2,1,3]=>[{3,5},{1,4},{6},{2}]=>[3,5,1,4,6,2]
[2,4,1,2,3,1]=>[{3,6},{1,4},{5},{2}]=>[3,6,1,4,5,2]
[2,4,1,3,1,2]=>[{3,5},{1,6},{4},{2}]=>[3,5,1,6,4,2]
[2,4,1,3,2,1]=>[{3,6},{1,5},{4},{2}]=>[3,6,1,5,4,2]
[2,4,2,1,1,3]=>[{4,5},{1,3},{6},{2}]=>[4,5,1,3,6,2]
[2,4,2,1,3,1]=>[{4,6},{1,3},{5},{2}]=>[4,6,1,3,5,2]
[2,4,2,3,1,1]=>[{5,6},{1,3},{4},{2}]=>[5,6,1,3,4,2]
[2,4,3,1,1,2]=>[{4,5},{1,6},{3},{2}]=>[4,5,1,6,3,2]
[2,4,3,1,2,1]=>[{4,6},{1,5},{3},{2}]=>[4,6,1,5,3,2]
[2,4,3,2,1,1]=>[{5,6},{1,4},{3},{2}]=>[5,6,1,4,3,2]
[3,1,1,2,2,4]=>[{2,3},{4,5},{1},{6}]=>[2,3,4,5,1,6]
[3,1,1,2,4,2]=>[{2,3},{4,6},{1},{5}]=>[2,3,4,6,1,5]
[3,1,1,4,2,2]=>[{2,3},{5,6},{1},{4}]=>[2,3,5,6,1,4]
[3,1,2,1,2,4]=>[{2,4},{3,5},{1},{6}]=>[2,4,3,5,1,6]
[3,1,2,1,4,2]=>[{2,4},{3,6},{1},{5}]=>[2,4,3,6,1,5]
[3,1,2,2,1,4]=>[{2,5},{3,4},{1},{6}]=>[2,5,3,4,1,6]
[3,1,2,2,4,1]=>[{2,6},{3,4},{1},{5}]=>[2,6,3,4,1,5]
[3,1,2,4,1,2]=>[{2,5},{3,6},{1},{4}]=>[2,5,3,6,1,4]
[3,1,2,4,2,1]=>[{2,6},{3,5},{1},{4}]=>[2,6,3,5,1,4]
[3,1,4,1,2,2]=>[{2,4},{5,6},{1},{3}]=>[2,4,5,6,1,3]
[3,1,4,2,1,2]=>[{2,5},{4,6},{1},{3}]=>[2,5,4,6,1,3]
[3,1,4,2,2,1]=>[{2,6},{4,5},{1},{3}]=>[2,6,4,5,1,3]
[3,2,1,1,2,4]=>[{3,4},{2,5},{1},{6}]=>[3,4,2,5,1,6]
[3,2,1,1,4,2]=>[{3,4},{2,6},{1},{5}]=>[3,4,2,6,1,5]
[3,2,1,2,1,4]=>[{3,5},{2,4},{1},{6}]=>[3,5,2,4,1,6]
[3,2,1,2,4,1]=>[{3,6},{2,4},{1},{5}]=>[3,6,2,4,1,5]
[3,2,1,4,1,2]=>[{3,5},{2,6},{1},{4}]=>[3,5,2,6,1,4]
[3,2,1,4,2,1]=>[{3,6},{2,5},{1},{4}]=>[3,6,2,5,1,4]
[3,2,2,1,1,4]=>[{4,5},{2,3},{1},{6}]=>[4,5,2,3,1,6]
[3,2,2,1,4,1]=>[{4,6},{2,3},{1},{5}]=>[4,6,2,3,1,5]
[3,2,2,4,1,1]=>[{5,6},{2,3},{1},{4}]=>[5,6,2,3,1,4]
[3,2,4,1,1,2]=>[{4,5},{2,6},{1},{3}]=>[4,5,2,6,1,3]
[3,2,4,1,2,1]=>[{4,6},{2,5},{1},{3}]=>[4,6,2,5,1,3]
[3,2,4,2,1,1]=>[{5,6},{2,4},{1},{3}]=>[5,6,2,4,1,3]
[3,4,1,1,2,2]=>[{3,4},{5,6},{1},{2}]=>[3,4,5,6,1,2]
[3,4,1,2,1,2]=>[{3,5},{4,6},{1},{2}]=>[3,5,4,6,1,2]
[3,4,1,2,2,1]=>[{3,6},{4,5},{1},{2}]=>[3,6,4,5,1,2]
[3,4,2,1,1,2]=>[{4,5},{3,6},{1},{2}]=>[4,5,3,6,1,2]
[3,4,2,1,2,1]=>[{4,6},{3,5},{1},{2}]=>[4,6,3,5,1,2]
[3,4,2,2,1,1]=>[{5,6},{3,4},{1},{2}]=>[5,6,3,4,1,2]
[4,1,1,2,2,3]=>[{2,3},{4,5},{6},{1}]=>[2,3,4,5,6,1]
[4,1,1,2,3,2]=>[{2,3},{4,6},{5},{1}]=>[2,3,4,6,5,1]
[4,1,1,3,2,2]=>[{2,3},{5,6},{4},{1}]=>[2,3,5,6,4,1]
[4,1,2,1,2,3]=>[{2,4},{3,5},{6},{1}]=>[2,4,3,5,6,1]
[4,1,2,1,3,2]=>[{2,4},{3,6},{5},{1}]=>[2,4,3,6,5,1]
[4,1,2,2,1,3]=>[{2,5},{3,4},{6},{1}]=>[2,5,3,4,6,1]
[4,1,2,2,3,1]=>[{2,6},{3,4},{5},{1}]=>[2,6,3,4,5,1]
[4,1,2,3,1,2]=>[{2,5},{3,6},{4},{1}]=>[2,5,3,6,4,1]
[4,1,2,3,2,1]=>[{2,6},{3,5},{4},{1}]=>[2,6,3,5,4,1]
[4,1,3,1,2,2]=>[{2,4},{5,6},{3},{1}]=>[2,4,5,6,3,1]
[4,1,3,2,1,2]=>[{2,5},{4,6},{3},{1}]=>[2,5,4,6,3,1]
[4,1,3,2,2,1]=>[{2,6},{4,5},{3},{1}]=>[2,6,4,5,3,1]
[4,2,1,1,2,3]=>[{3,4},{2,5},{6},{1}]=>[3,4,2,5,6,1]
[4,2,1,1,3,2]=>[{3,4},{2,6},{5},{1}]=>[3,4,2,6,5,1]
[4,2,1,2,1,3]=>[{3,5},{2,4},{6},{1}]=>[3,5,2,4,6,1]
[4,2,1,2,3,1]=>[{3,6},{2,4},{5},{1}]=>[3,6,2,4,5,1]
[4,2,1,3,1,2]=>[{3,5},{2,6},{4},{1}]=>[3,5,2,6,4,1]
[4,2,1,3,2,1]=>[{3,6},{2,5},{4},{1}]=>[3,6,2,5,4,1]
[4,2,2,1,1,3]=>[{4,5},{2,3},{6},{1}]=>[4,5,2,3,6,1]
[4,2,2,1,3,1]=>[{4,6},{2,3},{5},{1}]=>[4,6,2,3,5,1]
[4,2,2,3,1,1]=>[{5,6},{2,3},{4},{1}]=>[5,6,2,3,4,1]
[4,2,3,1,1,2]=>[{4,5},{2,6},{3},{1}]=>[4,5,2,6,3,1]
[4,2,3,1,2,1]=>[{4,6},{2,5},{3},{1}]=>[4,6,2,5,3,1]
[4,2,3,2,1,1]=>[{5,6},{2,4},{3},{1}]=>[5,6,2,4,3,1]
[4,3,1,1,2,2]=>[{3,4},{5,6},{2},{1}]=>[3,4,5,6,2,1]
[4,3,1,2,1,2]=>[{3,5},{4,6},{2},{1}]=>[3,5,4,6,2,1]
[4,3,1,2,2,1]=>[{3,6},{4,5},{2},{1}]=>[3,6,4,5,2,1]
[4,3,2,1,1,2]=>[{4,5},{3,6},{2},{1}]=>[4,5,3,6,2,1]
[4,3,2,1,2,1]=>[{4,6},{3,5},{2},{1}]=>[4,6,3,5,2,1]
[4,3,2,2,1,1]=>[{5,6},{3,4},{2},{1}]=>[5,6,3,4,2,1]
[1,1,2,2,3,5]=>[{1,2},{3,4},{5},{6}]=>[1,2,3,4,5,6]
[1,1,2,2,5,3]=>[{1,2},{3,4},{6},{5}]=>[1,2,3,4,6,5]
[1,1,2,3,2,5]=>[{1,2},{3,5},{4},{6}]=>[1,2,3,5,4,6]
[1,1,2,3,5,2]=>[{1,2},{3,6},{4},{5}]=>[1,2,3,6,4,5]
[1,1,2,5,2,3]=>[{1,2},{3,5},{6},{4}]=>[1,2,3,5,6,4]
[1,1,2,5,3,2]=>[{1,2},{3,6},{5},{4}]=>[1,2,3,6,5,4]
[1,1,3,2,2,5]=>[{1,2},{4,5},{3},{6}]=>[1,2,4,5,3,6]
[1,1,3,2,5,2]=>[{1,2},{4,6},{3},{5}]=>[1,2,4,6,3,5]
[1,1,3,5,2,2]=>[{1,2},{5,6},{3},{4}]=>[1,2,5,6,3,4]
[1,1,5,2,2,3]=>[{1,2},{4,5},{6},{3}]=>[1,2,4,5,6,3]
[1,1,5,2,3,2]=>[{1,2},{4,6},{5},{3}]=>[1,2,4,6,5,3]
[1,1,5,3,2,2]=>[{1,2},{5,6},{4},{3}]=>[1,2,5,6,4,3]
[1,2,1,2,3,5]=>[{1,3},{2,4},{5},{6}]=>[1,3,2,4,5,6]
[1,2,1,2,5,3]=>[{1,3},{2,4},{6},{5}]=>[1,3,2,4,6,5]
[1,2,1,3,2,5]=>[{1,3},{2,5},{4},{6}]=>[1,3,2,5,4,6]
[1,2,1,3,5,2]=>[{1,3},{2,6},{4},{5}]=>[1,3,2,6,4,5]
[1,2,1,5,2,3]=>[{1,3},{2,5},{6},{4}]=>[1,3,2,5,6,4]
[1,2,1,5,3,2]=>[{1,3},{2,6},{5},{4}]=>[1,3,2,6,5,4]
[1,2,2,1,3,5]=>[{1,4},{2,3},{5},{6}]=>[1,4,2,3,5,6]
[1,2,2,1,5,3]=>[{1,4},{2,3},{6},{5}]=>[1,4,2,3,6,5]
[1,2,2,3,1,5]=>[{1,5},{2,3},{4},{6}]=>[1,5,2,3,4,6]
[1,2,2,3,5,1]=>[{1,6},{2,3},{4},{5}]=>[1,6,2,3,4,5]
[1,2,2,5,1,3]=>[{1,5},{2,3},{6},{4}]=>[1,5,2,3,6,4]
[1,2,2,5,3,1]=>[{1,6},{2,3},{5},{4}]=>[1,6,2,3,5,4]
[1,2,3,1,2,5]=>[{1,4},{2,5},{3},{6}]=>[1,4,2,5,3,6]
[1,2,3,1,5,2]=>[{1,4},{2,6},{3},{5}]=>[1,4,2,6,3,5]
[1,2,3,2,1,5]=>[{1,5},{2,4},{3},{6}]=>[1,5,2,4,3,6]
[1,2,3,2,5,1]=>[{1,6},{2,4},{3},{5}]=>[1,6,2,4,3,5]
[1,2,3,5,1,2]=>[{1,5},{2,6},{3},{4}]=>[1,5,2,6,3,4]
[1,2,3,5,2,1]=>[{1,6},{2,5},{3},{4}]=>[1,6,2,5,3,4]
[1,2,5,1,2,3]=>[{1,4},{2,5},{6},{3}]=>[1,4,2,5,6,3]
[1,2,5,1,3,2]=>[{1,4},{2,6},{5},{3}]=>[1,4,2,6,5,3]
[1,2,5,2,1,3]=>[{1,5},{2,4},{6},{3}]=>[1,5,2,4,6,3]
[1,2,5,2,3,1]=>[{1,6},{2,4},{5},{3}]=>[1,6,2,4,5,3]
[1,2,5,3,1,2]=>[{1,5},{2,6},{4},{3}]=>[1,5,2,6,4,3]
[1,2,5,3,2,1]=>[{1,6},{2,5},{4},{3}]=>[1,6,2,5,4,3]
[1,3,1,2,2,5]=>[{1,3},{4,5},{2},{6}]=>[1,3,4,5,2,6]
[1,3,1,2,5,2]=>[{1,3},{4,6},{2},{5}]=>[1,3,4,6,2,5]
[1,3,1,5,2,2]=>[{1,3},{5,6},{2},{4}]=>[1,3,5,6,2,4]
[1,3,2,1,2,5]=>[{1,4},{3,5},{2},{6}]=>[1,4,3,5,2,6]
[1,3,2,1,5,2]=>[{1,4},{3,6},{2},{5}]=>[1,4,3,6,2,5]
[1,3,2,2,1,5]=>[{1,5},{3,4},{2},{6}]=>[1,5,3,4,2,6]
[1,3,2,2,5,1]=>[{1,6},{3,4},{2},{5}]=>[1,6,3,4,2,5]
[1,3,2,5,1,2]=>[{1,5},{3,6},{2},{4}]=>[1,5,3,6,2,4]
[1,3,2,5,2,1]=>[{1,6},{3,5},{2},{4}]=>[1,6,3,5,2,4]
[1,3,5,1,2,2]=>[{1,4},{5,6},{2},{3}]=>[1,4,5,6,2,3]
[1,3,5,2,1,2]=>[{1,5},{4,6},{2},{3}]=>[1,5,4,6,2,3]
[1,3,5,2,2,1]=>[{1,6},{4,5},{2},{3}]=>[1,6,4,5,2,3]
[1,5,1,2,2,3]=>[{1,3},{4,5},{6},{2}]=>[1,3,4,5,6,2]
[1,5,1,2,3,2]=>[{1,3},{4,6},{5},{2}]=>[1,3,4,6,5,2]
[1,5,1,3,2,2]=>[{1,3},{5,6},{4},{2}]=>[1,3,5,6,4,2]
[1,5,2,1,2,3]=>[{1,4},{3,5},{6},{2}]=>[1,4,3,5,6,2]
[1,5,2,1,3,2]=>[{1,4},{3,6},{5},{2}]=>[1,4,3,6,5,2]
[1,5,2,2,1,3]=>[{1,5},{3,4},{6},{2}]=>[1,5,3,4,6,2]
[1,5,2,2,3,1]=>[{1,6},{3,4},{5},{2}]=>[1,6,3,4,5,2]
[1,5,2,3,1,2]=>[{1,5},{3,6},{4},{2}]=>[1,5,3,6,4,2]
[1,5,2,3,2,1]=>[{1,6},{3,5},{4},{2}]=>[1,6,3,5,4,2]
[1,5,3,1,2,2]=>[{1,4},{5,6},{3},{2}]=>[1,4,5,6,3,2]
[1,5,3,2,1,2]=>[{1,5},{4,6},{3},{2}]=>[1,5,4,6,3,2]
[1,5,3,2,2,1]=>[{1,6},{4,5},{3},{2}]=>[1,6,4,5,3,2]
[2,1,1,2,3,5]=>[{2,3},{1,4},{5},{6}]=>[2,3,1,4,5,6]
[2,1,1,2,5,3]=>[{2,3},{1,4},{6},{5}]=>[2,3,1,4,6,5]
[2,1,1,3,2,5]=>[{2,3},{1,5},{4},{6}]=>[2,3,1,5,4,6]
[2,1,1,3,5,2]=>[{2,3},{1,6},{4},{5}]=>[2,3,1,6,4,5]
[2,1,1,5,2,3]=>[{2,3},{1,5},{6},{4}]=>[2,3,1,5,6,4]
[2,1,1,5,3,2]=>[{2,3},{1,6},{5},{4}]=>[2,3,1,6,5,4]
[2,1,2,1,3,5]=>[{2,4},{1,3},{5},{6}]=>[2,4,1,3,5,6]
[2,1,2,1,5,3]=>[{2,4},{1,3},{6},{5}]=>[2,4,1,3,6,5]
[2,1,2,3,1,5]=>[{2,5},{1,3},{4},{6}]=>[2,5,1,3,4,6]
[2,1,2,3,5,1]=>[{2,6},{1,3},{4},{5}]=>[2,6,1,3,4,5]
[2,1,2,5,1,3]=>[{2,5},{1,3},{6},{4}]=>[2,5,1,3,6,4]
[2,1,2,5,3,1]=>[{2,6},{1,3},{5},{4}]=>[2,6,1,3,5,4]
[2,1,3,1,2,5]=>[{2,4},{1,5},{3},{6}]=>[2,4,1,5,3,6]
[2,1,3,1,5,2]=>[{2,4},{1,6},{3},{5}]=>[2,4,1,6,3,5]
[2,1,3,2,1,5]=>[{2,5},{1,4},{3},{6}]=>[2,5,1,4,3,6]
[2,1,3,2,5,1]=>[{2,6},{1,4},{3},{5}]=>[2,6,1,4,3,5]
[2,1,3,5,1,2]=>[{2,5},{1,6},{3},{4}]=>[2,5,1,6,3,4]
[2,1,3,5,2,1]=>[{2,6},{1,5},{3},{4}]=>[2,6,1,5,3,4]
[2,1,5,1,2,3]=>[{2,4},{1,5},{6},{3}]=>[2,4,1,5,6,3]
[2,1,5,1,3,2]=>[{2,4},{1,6},{5},{3}]=>[2,4,1,6,5,3]
[2,1,5,2,1,3]=>[{2,5},{1,4},{6},{3}]=>[2,5,1,4,6,3]
[2,1,5,2,3,1]=>[{2,6},{1,4},{5},{3}]=>[2,6,1,4,5,3]
[2,1,5,3,1,2]=>[{2,5},{1,6},{4},{3}]=>[2,5,1,6,4,3]
[2,1,5,3,2,1]=>[{2,6},{1,5},{4},{3}]=>[2,6,1,5,4,3]
[2,2,1,1,3,5]=>[{3,4},{1,2},{5},{6}]=>[3,4,1,2,5,6]
[2,2,1,1,5,3]=>[{3,4},{1,2},{6},{5}]=>[3,4,1,2,6,5]
[2,2,1,3,1,5]=>[{3,5},{1,2},{4},{6}]=>[3,5,1,2,4,6]
[2,2,1,3,5,1]=>[{3,6},{1,2},{4},{5}]=>[3,6,1,2,4,5]
[2,2,1,5,1,3]=>[{3,5},{1,2},{6},{4}]=>[3,5,1,2,6,4]
[2,2,1,5,3,1]=>[{3,6},{1,2},{5},{4}]=>[3,6,1,2,5,4]
[2,2,3,1,1,5]=>[{4,5},{1,2},{3},{6}]=>[4,5,1,2,3,6]
[2,2,3,1,5,1]=>[{4,6},{1,2},{3},{5}]=>[4,6,1,2,3,5]
[2,2,3,5,1,1]=>[{5,6},{1,2},{3},{4}]=>[5,6,1,2,3,4]
[2,2,5,1,1,3]=>[{4,5},{1,2},{6},{3}]=>[4,5,1,2,6,3]
[2,2,5,1,3,1]=>[{4,6},{1,2},{5},{3}]=>[4,6,1,2,5,3]
[2,2,5,3,1,1]=>[{5,6},{1,2},{4},{3}]=>[5,6,1,2,4,3]
[2,3,1,1,2,5]=>[{3,4},{1,5},{2},{6}]=>[3,4,1,5,2,6]
[2,3,1,1,5,2]=>[{3,4},{1,6},{2},{5}]=>[3,4,1,6,2,5]
[2,3,1,2,1,5]=>[{3,5},{1,4},{2},{6}]=>[3,5,1,4,2,6]
[2,3,1,2,5,1]=>[{3,6},{1,4},{2},{5}]=>[3,6,1,4,2,5]
[2,3,1,5,1,2]=>[{3,5},{1,6},{2},{4}]=>[3,5,1,6,2,4]
[2,3,1,5,2,1]=>[{3,6},{1,5},{2},{4}]=>[3,6,1,5,2,4]
[2,3,2,1,1,5]=>[{4,5},{1,3},{2},{6}]=>[4,5,1,3,2,6]
[2,3,2,1,5,1]=>[{4,6},{1,3},{2},{5}]=>[4,6,1,3,2,5]
[2,3,2,5,1,1]=>[{5,6},{1,3},{2},{4}]=>[5,6,1,3,2,4]
[2,3,5,1,1,2]=>[{4,5},{1,6},{2},{3}]=>[4,5,1,6,2,3]
[2,3,5,1,2,1]=>[{4,6},{1,5},{2},{3}]=>[4,6,1,5,2,3]
[2,3,5,2,1,1]=>[{5,6},{1,4},{2},{3}]=>[5,6,1,4,2,3]
[2,5,1,1,2,3]=>[{3,4},{1,5},{6},{2}]=>[3,4,1,5,6,2]
[2,5,1,1,3,2]=>[{3,4},{1,6},{5},{2}]=>[3,4,1,6,5,2]
[2,5,1,2,1,3]=>[{3,5},{1,4},{6},{2}]=>[3,5,1,4,6,2]
[2,5,1,2,3,1]=>[{3,6},{1,4},{5},{2}]=>[3,6,1,4,5,2]
[2,5,1,3,1,2]=>[{3,5},{1,6},{4},{2}]=>[3,5,1,6,4,2]
[2,5,1,3,2,1]=>[{3,6},{1,5},{4},{2}]=>[3,6,1,5,4,2]
[2,5,2,1,1,3]=>[{4,5},{1,3},{6},{2}]=>[4,5,1,3,6,2]
[2,5,2,1,3,1]=>[{4,6},{1,3},{5},{2}]=>[4,6,1,3,5,2]
[2,5,2,3,1,1]=>[{5,6},{1,3},{4},{2}]=>[5,6,1,3,4,2]
[2,5,3,1,1,2]=>[{4,5},{1,6},{3},{2}]=>[4,5,1,6,3,2]
[2,5,3,1,2,1]=>[{4,6},{1,5},{3},{2}]=>[4,6,1,5,3,2]
[2,5,3,2,1,1]=>[{5,6},{1,4},{3},{2}]=>[5,6,1,4,3,2]
[3,1,1,2,2,5]=>[{2,3},{4,5},{1},{6}]=>[2,3,4,5,1,6]
[3,1,1,2,5,2]=>[{2,3},{4,6},{1},{5}]=>[2,3,4,6,1,5]
[3,1,1,5,2,2]=>[{2,3},{5,6},{1},{4}]=>[2,3,5,6,1,4]
[3,1,2,1,2,5]=>[{2,4},{3,5},{1},{6}]=>[2,4,3,5,1,6]
[3,1,2,1,5,2]=>[{2,4},{3,6},{1},{5}]=>[2,4,3,6,1,5]
[3,1,2,2,1,5]=>[{2,5},{3,4},{1},{6}]=>[2,5,3,4,1,6]
[3,1,2,2,5,1]=>[{2,6},{3,4},{1},{5}]=>[2,6,3,4,1,5]
[3,1,2,5,1,2]=>[{2,5},{3,6},{1},{4}]=>[2,5,3,6,1,4]
[3,1,2,5,2,1]=>[{2,6},{3,5},{1},{4}]=>[2,6,3,5,1,4]
[3,1,5,1,2,2]=>[{2,4},{5,6},{1},{3}]=>[2,4,5,6,1,3]
[3,1,5,2,1,2]=>[{2,5},{4,6},{1},{3}]=>[2,5,4,6,1,3]
[3,1,5,2,2,1]=>[{2,6},{4,5},{1},{3}]=>[2,6,4,5,1,3]
[3,2,1,1,2,5]=>[{3,4},{2,5},{1},{6}]=>[3,4,2,5,1,6]
[3,2,1,1,5,2]=>[{3,4},{2,6},{1},{5}]=>[3,4,2,6,1,5]
[3,2,1,2,1,5]=>[{3,5},{2,4},{1},{6}]=>[3,5,2,4,1,6]
[3,2,1,2,5,1]=>[{3,6},{2,4},{1},{5}]=>[3,6,2,4,1,5]
[3,2,1,5,1,2]=>[{3,5},{2,6},{1},{4}]=>[3,5,2,6,1,4]
[3,2,1,5,2,1]=>[{3,6},{2,5},{1},{4}]=>[3,6,2,5,1,4]
[3,2,2,1,1,5]=>[{4,5},{2,3},{1},{6}]=>[4,5,2,3,1,6]
[3,2,2,1,5,1]=>[{4,6},{2,3},{1},{5}]=>[4,6,2,3,1,5]
[3,2,2,5,1,1]=>[{5,6},{2,3},{1},{4}]=>[5,6,2,3,1,4]
[3,2,5,1,1,2]=>[{4,5},{2,6},{1},{3}]=>[4,5,2,6,1,3]
[3,2,5,1,2,1]=>[{4,6},{2,5},{1},{3}]=>[4,6,2,5,1,3]
[3,2,5,2,1,1]=>[{5,6},{2,4},{1},{3}]=>[5,6,2,4,1,3]
[3,5,1,1,2,2]=>[{3,4},{5,6},{1},{2}]=>[3,4,5,6,1,2]
[3,5,1,2,1,2]=>[{3,5},{4,6},{1},{2}]=>[3,5,4,6,1,2]
[3,5,1,2,2,1]=>[{3,6},{4,5},{1},{2}]=>[3,6,4,5,1,2]
[3,5,2,1,1,2]=>[{4,5},{3,6},{1},{2}]=>[4,5,3,6,1,2]
[3,5,2,1,2,1]=>[{4,6},{3,5},{1},{2}]=>[4,6,3,5,1,2]
[3,5,2,2,1,1]=>[{5,6},{3,4},{1},{2}]=>[5,6,3,4,1,2]
[5,1,1,2,2,3]=>[{2,3},{4,5},{6},{1}]=>[2,3,4,5,6,1]
[5,1,1,2,3,2]=>[{2,3},{4,6},{5},{1}]=>[2,3,4,6,5,1]
[5,1,1,3,2,2]=>[{2,3},{5,6},{4},{1}]=>[2,3,5,6,4,1]
[5,1,2,1,2,3]=>[{2,4},{3,5},{6},{1}]=>[2,4,3,5,6,1]
[5,1,2,1,3,2]=>[{2,4},{3,6},{5},{1}]=>[2,4,3,6,5,1]
[5,1,2,2,1,3]=>[{2,5},{3,4},{6},{1}]=>[2,5,3,4,6,1]
[5,1,2,2,3,1]=>[{2,6},{3,4},{5},{1}]=>[2,6,3,4,5,1]
[5,1,2,3,1,2]=>[{2,5},{3,6},{4},{1}]=>[2,5,3,6,4,1]
[5,1,2,3,2,1]=>[{2,6},{3,5},{4},{1}]=>[2,6,3,5,4,1]
[5,1,3,1,2,2]=>[{2,4},{5,6},{3},{1}]=>[2,4,5,6,3,1]
[5,1,3,2,1,2]=>[{2,5},{4,6},{3},{1}]=>[2,5,4,6,3,1]
[5,1,3,2,2,1]=>[{2,6},{4,5},{3},{1}]=>[2,6,4,5,3,1]
[5,2,1,1,2,3]=>[{3,4},{2,5},{6},{1}]=>[3,4,2,5,6,1]
[5,2,1,1,3,2]=>[{3,4},{2,6},{5},{1}]=>[3,4,2,6,5,1]
[5,2,1,2,1,3]=>[{3,5},{2,4},{6},{1}]=>[3,5,2,4,6,1]
[5,2,1,2,3,1]=>[{3,6},{2,4},{5},{1}]=>[3,6,2,4,5,1]
[5,2,1,3,1,2]=>[{3,5},{2,6},{4},{1}]=>[3,5,2,6,4,1]
[5,2,1,3,2,1]=>[{3,6},{2,5},{4},{1}]=>[3,6,2,5,4,1]
[5,2,2,1,1,3]=>[{4,5},{2,3},{6},{1}]=>[4,5,2,3,6,1]
[5,2,2,1,3,1]=>[{4,6},{2,3},{5},{1}]=>[4,6,2,3,5,1]
[5,2,2,3,1,1]=>[{5,6},{2,3},{4},{1}]=>[5,6,2,3,4,1]
[5,2,3,1,1,2]=>[{4,5},{2,6},{3},{1}]=>[4,5,2,6,3,1]
[5,2,3,1,2,1]=>[{4,6},{2,5},{3},{1}]=>[4,6,2,5,3,1]
[5,2,3,2,1,1]=>[{5,6},{2,4},{3},{1}]=>[5,6,2,4,3,1]
[5,3,1,1,2,2]=>[{3,4},{5,6},{2},{1}]=>[3,4,5,6,2,1]
[5,3,1,2,1,2]=>[{3,5},{4,6},{2},{1}]=>[3,5,4,6,2,1]
[5,3,1,2,2,1]=>[{3,6},{4,5},{2},{1}]=>[3,6,4,5,2,1]
[5,3,2,1,1,2]=>[{4,5},{3,6},{2},{1}]=>[4,5,3,6,2,1]
[5,3,2,1,2,1]=>[{4,6},{3,5},{2},{1}]=>[4,6,3,5,2,1]
[5,3,2,2,1,1]=>[{5,6},{3,4},{2},{1}]=>[5,6,3,4,2,1]
[1,1,2,2,3,6]=>[{1,2},{3,4},{5},{6}]=>[1,2,3,4,5,6]
[1,1,2,2,6,3]=>[{1,2},{3,4},{6},{5}]=>[1,2,3,4,6,5]
[1,1,2,3,2,6]=>[{1,2},{3,5},{4},{6}]=>[1,2,3,5,4,6]
[1,1,2,3,6,2]=>[{1,2},{3,6},{4},{5}]=>[1,2,3,6,4,5]
[1,1,2,6,2,3]=>[{1,2},{3,5},{6},{4}]=>[1,2,3,5,6,4]
[1,1,2,6,3,2]=>[{1,2},{3,6},{5},{4}]=>[1,2,3,6,5,4]
[1,1,3,2,2,6]=>[{1,2},{4,5},{3},{6}]=>[1,2,4,5,3,6]
[1,1,3,2,6,2]=>[{1,2},{4,6},{3},{5}]=>[1,2,4,6,3,5]
[1,1,3,6,2,2]=>[{1,2},{5,6},{3},{4}]=>[1,2,5,6,3,4]
[1,1,6,2,2,3]=>[{1,2},{4,5},{6},{3}]=>[1,2,4,5,6,3]
[1,1,6,2,3,2]=>[{1,2},{4,6},{5},{3}]=>[1,2,4,6,5,3]
[1,1,6,3,2,2]=>[{1,2},{5,6},{4},{3}]=>[1,2,5,6,4,3]
[1,2,1,2,3,6]=>[{1,3},{2,4},{5},{6}]=>[1,3,2,4,5,6]
[1,2,1,2,6,3]=>[{1,3},{2,4},{6},{5}]=>[1,3,2,4,6,5]
[1,2,1,3,2,6]=>[{1,3},{2,5},{4},{6}]=>[1,3,2,5,4,6]
[1,2,1,3,6,2]=>[{1,3},{2,6},{4},{5}]=>[1,3,2,6,4,5]
[1,2,1,6,2,3]=>[{1,3},{2,5},{6},{4}]=>[1,3,2,5,6,4]
[1,2,1,6,3,2]=>[{1,3},{2,6},{5},{4}]=>[1,3,2,6,5,4]
[1,2,2,1,3,6]=>[{1,4},{2,3},{5},{6}]=>[1,4,2,3,5,6]
[1,2,2,1,6,3]=>[{1,4},{2,3},{6},{5}]=>[1,4,2,3,6,5]
[1,2,2,3,1,6]=>[{1,5},{2,3},{4},{6}]=>[1,5,2,3,4,6]
[1,2,2,3,6,1]=>[{1,6},{2,3},{4},{5}]=>[1,6,2,3,4,5]
[1,2,2,6,1,3]=>[{1,5},{2,3},{6},{4}]=>[1,5,2,3,6,4]
[1,2,2,6,3,1]=>[{1,6},{2,3},{5},{4}]=>[1,6,2,3,5,4]
[1,2,3,1,2,6]=>[{1,4},{2,5},{3},{6}]=>[1,4,2,5,3,6]
[1,2,3,1,6,2]=>[{1,4},{2,6},{3},{5}]=>[1,4,2,6,3,5]
[1,2,3,2,1,6]=>[{1,5},{2,4},{3},{6}]=>[1,5,2,4,3,6]
[1,2,3,2,6,1]=>[{1,6},{2,4},{3},{5}]=>[1,6,2,4,3,5]
[1,2,3,6,1,2]=>[{1,5},{2,6},{3},{4}]=>[1,5,2,6,3,4]
[1,2,3,6,2,1]=>[{1,6},{2,5},{3},{4}]=>[1,6,2,5,3,4]
[1,2,6,1,2,3]=>[{1,4},{2,5},{6},{3}]=>[1,4,2,5,6,3]
[1,2,6,1,3,2]=>[{1,4},{2,6},{5},{3}]=>[1,4,2,6,5,3]
[1,2,6,2,1,3]=>[{1,5},{2,4},{6},{3}]=>[1,5,2,4,6,3]
[1,2,6,2,3,1]=>[{1,6},{2,4},{5},{3}]=>[1,6,2,4,5,3]
[1,2,6,3,1,2]=>[{1,5},{2,6},{4},{3}]=>[1,5,2,6,4,3]
[1,2,6,3,2,1]=>[{1,6},{2,5},{4},{3}]=>[1,6,2,5,4,3]
[1,3,1,2,2,6]=>[{1,3},{4,5},{2},{6}]=>[1,3,4,5,2,6]
[1,3,1,2,6,2]=>[{1,3},{4,6},{2},{5}]=>[1,3,4,6,2,5]
[1,3,1,6,2,2]=>[{1,3},{5,6},{2},{4}]=>[1,3,5,6,2,4]
[1,3,2,1,2,6]=>[{1,4},{3,5},{2},{6}]=>[1,4,3,5,2,6]
[1,3,2,1,6,2]=>[{1,4},{3,6},{2},{5}]=>[1,4,3,6,2,5]
[1,3,2,2,1,6]=>[{1,5},{3,4},{2},{6}]=>[1,5,3,4,2,6]
[1,3,2,2,6,1]=>[{1,6},{3,4},{2},{5}]=>[1,6,3,4,2,5]
[1,3,2,6,1,2]=>[{1,5},{3,6},{2},{4}]=>[1,5,3,6,2,4]
[1,3,2,6,2,1]=>[{1,6},{3,5},{2},{4}]=>[1,6,3,5,2,4]
[1,3,6,1,2,2]=>[{1,4},{5,6},{2},{3}]=>[1,4,5,6,2,3]
[1,3,6,2,1,2]=>[{1,5},{4,6},{2},{3}]=>[1,5,4,6,2,3]
[1,3,6,2,2,1]=>[{1,6},{4,5},{2},{3}]=>[1,6,4,5,2,3]
[1,6,1,2,2,3]=>[{1,3},{4,5},{6},{2}]=>[1,3,4,5,6,2]
[1,6,1,2,3,2]=>[{1,3},{4,6},{5},{2}]=>[1,3,4,6,5,2]
[1,6,1,3,2,2]=>[{1,3},{5,6},{4},{2}]=>[1,3,5,6,4,2]
[1,6,2,1,2,3]=>[{1,4},{3,5},{6},{2}]=>[1,4,3,5,6,2]
[1,6,2,1,3,2]=>[{1,4},{3,6},{5},{2}]=>[1,4,3,6,5,2]
[1,6,2,2,1,3]=>[{1,5},{3,4},{6},{2}]=>[1,5,3,4,6,2]
[1,6,2,2,3,1]=>[{1,6},{3,4},{5},{2}]=>[1,6,3,4,5,2]
[1,6,2,3,1,2]=>[{1,5},{3,6},{4},{2}]=>[1,5,3,6,4,2]
[1,6,2,3,2,1]=>[{1,6},{3,5},{4},{2}]=>[1,6,3,5,4,2]
[1,6,3,1,2,2]=>[{1,4},{5,6},{3},{2}]=>[1,4,5,6,3,2]
[1,6,3,2,1,2]=>[{1,5},{4,6},{3},{2}]=>[1,5,4,6,3,2]
[1,6,3,2,2,1]=>[{1,6},{4,5},{3},{2}]=>[1,6,4,5,3,2]
[2,1,1,2,3,6]=>[{2,3},{1,4},{5},{6}]=>[2,3,1,4,5,6]
[2,1,1,2,6,3]=>[{2,3},{1,4},{6},{5}]=>[2,3,1,4,6,5]
[2,1,1,3,2,6]=>[{2,3},{1,5},{4},{6}]=>[2,3,1,5,4,6]
[2,1,1,3,6,2]=>[{2,3},{1,6},{4},{5}]=>[2,3,1,6,4,5]
[2,1,1,6,2,3]=>[{2,3},{1,5},{6},{4}]=>[2,3,1,5,6,4]
[2,1,1,6,3,2]=>[{2,3},{1,6},{5},{4}]=>[2,3,1,6,5,4]
[2,1,2,1,3,6]=>[{2,4},{1,3},{5},{6}]=>[2,4,1,3,5,6]
[2,1,2,1,6,3]=>[{2,4},{1,3},{6},{5}]=>[2,4,1,3,6,5]
[2,1,2,3,1,6]=>[{2,5},{1,3},{4},{6}]=>[2,5,1,3,4,6]
[2,1,2,3,6,1]=>[{2,6},{1,3},{4},{5}]=>[2,6,1,3,4,5]
[2,1,2,6,1,3]=>[{2,5},{1,3},{6},{4}]=>[2,5,1,3,6,4]
[2,1,2,6,3,1]=>[{2,6},{1,3},{5},{4}]=>[2,6,1,3,5,4]
[2,1,3,1,2,6]=>[{2,4},{1,5},{3},{6}]=>[2,4,1,5,3,6]
[2,1,3,1,6,2]=>[{2,4},{1,6},{3},{5}]=>[2,4,1,6,3,5]
[2,1,3,2,1,6]=>[{2,5},{1,4},{3},{6}]=>[2,5,1,4,3,6]
[2,1,3,2,6,1]=>[{2,6},{1,4},{3},{5}]=>[2,6,1,4,3,5]
[2,1,3,6,1,2]=>[{2,5},{1,6},{3},{4}]=>[2,5,1,6,3,4]
[2,1,3,6,2,1]=>[{2,6},{1,5},{3},{4}]=>[2,6,1,5,3,4]
[2,1,6,1,2,3]=>[{2,4},{1,5},{6},{3}]=>[2,4,1,5,6,3]
[2,1,6,1,3,2]=>[{2,4},{1,6},{5},{3}]=>[2,4,1,6,5,3]
[2,1,6,2,1,3]=>[{2,5},{1,4},{6},{3}]=>[2,5,1,4,6,3]
[2,1,6,2,3,1]=>[{2,6},{1,4},{5},{3}]=>[2,6,1,4,5,3]
[2,1,6,3,1,2]=>[{2,5},{1,6},{4},{3}]=>[2,5,1,6,4,3]
[2,1,6,3,2,1]=>[{2,6},{1,5},{4},{3}]=>[2,6,1,5,4,3]
[2,2,1,1,3,6]=>[{3,4},{1,2},{5},{6}]=>[3,4,1,2,5,6]
[2,2,1,1,6,3]=>[{3,4},{1,2},{6},{5}]=>[3,4,1,2,6,5]
[2,2,1,3,1,6]=>[{3,5},{1,2},{4},{6}]=>[3,5,1,2,4,6]
[2,2,1,3,6,1]=>[{3,6},{1,2},{4},{5}]=>[3,6,1,2,4,5]
[2,2,1,6,1,3]=>[{3,5},{1,2},{6},{4}]=>[3,5,1,2,6,4]
[2,2,1,6,3,1]=>[{3,6},{1,2},{5},{4}]=>[3,6,1,2,5,4]
[2,2,3,1,1,6]=>[{4,5},{1,2},{3},{6}]=>[4,5,1,2,3,6]
[2,2,3,1,6,1]=>[{4,6},{1,2},{3},{5}]=>[4,6,1,2,3,5]
[2,2,3,6,1,1]=>[{5,6},{1,2},{3},{4}]=>[5,6,1,2,3,4]
[2,2,6,1,1,3]=>[{4,5},{1,2},{6},{3}]=>[4,5,1,2,6,3]
[2,2,6,1,3,1]=>[{4,6},{1,2},{5},{3}]=>[4,6,1,2,5,3]
[2,2,6,3,1,1]=>[{5,6},{1,2},{4},{3}]=>[5,6,1,2,4,3]
[2,3,1,1,2,6]=>[{3,4},{1,5},{2},{6}]=>[3,4,1,5,2,6]
[2,3,1,1,6,2]=>[{3,4},{1,6},{2},{5}]=>[3,4,1,6,2,5]
[2,3,1,2,1,6]=>[{3,5},{1,4},{2},{6}]=>[3,5,1,4,2,6]
[2,3,1,2,6,1]=>[{3,6},{1,4},{2},{5}]=>[3,6,1,4,2,5]
[2,3,1,6,1,2]=>[{3,5},{1,6},{2},{4}]=>[3,5,1,6,2,4]
[2,3,1,6,2,1]=>[{3,6},{1,5},{2},{4}]=>[3,6,1,5,2,4]
[2,3,2,1,1,6]=>[{4,5},{1,3},{2},{6}]=>[4,5,1,3,2,6]
[2,3,2,1,6,1]=>[{4,6},{1,3},{2},{5}]=>[4,6,1,3,2,5]
[2,3,2,6,1,1]=>[{5,6},{1,3},{2},{4}]=>[5,6,1,3,2,4]
[2,3,6,1,1,2]=>[{4,5},{1,6},{2},{3}]=>[4,5,1,6,2,3]
[2,3,6,1,2,1]=>[{4,6},{1,5},{2},{3}]=>[4,6,1,5,2,3]
[2,3,6,2,1,1]=>[{5,6},{1,4},{2},{3}]=>[5,6,1,4,2,3]
[2,6,1,1,2,3]=>[{3,4},{1,5},{6},{2}]=>[3,4,1,5,6,2]
[2,6,1,1,3,2]=>[{3,4},{1,6},{5},{2}]=>[3,4,1,6,5,2]
[2,6,1,2,1,3]=>[{3,5},{1,4},{6},{2}]=>[3,5,1,4,6,2]
[2,6,1,2,3,1]=>[{3,6},{1,4},{5},{2}]=>[3,6,1,4,5,2]
[2,6,1,3,1,2]=>[{3,5},{1,6},{4},{2}]=>[3,5,1,6,4,2]
[2,6,1,3,2,1]=>[{3,6},{1,5},{4},{2}]=>[3,6,1,5,4,2]
[2,6,2,1,1,3]=>[{4,5},{1,3},{6},{2}]=>[4,5,1,3,6,2]
[2,6,2,1,3,1]=>[{4,6},{1,3},{5},{2}]=>[4,6,1,3,5,2]
[2,6,2,3,1,1]=>[{5,6},{1,3},{4},{2}]=>[5,6,1,3,4,2]
[2,6,3,1,1,2]=>[{4,5},{1,6},{3},{2}]=>[4,5,1,6,3,2]
[2,6,3,1,2,1]=>[{4,6},{1,5},{3},{2}]=>[4,6,1,5,3,2]
[2,6,3,2,1,1]=>[{5,6},{1,4},{3},{2}]=>[5,6,1,4,3,2]
[3,1,1,2,2,6]=>[{2,3},{4,5},{1},{6}]=>[2,3,4,5,1,6]
[3,1,1,2,6,2]=>[{2,3},{4,6},{1},{5}]=>[2,3,4,6,1,5]
[3,1,1,6,2,2]=>[{2,3},{5,6},{1},{4}]=>[2,3,5,6,1,4]
[3,1,2,1,2,6]=>[{2,4},{3,5},{1},{6}]=>[2,4,3,5,1,6]
[3,1,2,1,6,2]=>[{2,4},{3,6},{1},{5}]=>[2,4,3,6,1,5]
[3,1,2,2,1,6]=>[{2,5},{3,4},{1},{6}]=>[2,5,3,4,1,6]
[3,1,2,2,6,1]=>[{2,6},{3,4},{1},{5}]=>[2,6,3,4,1,5]
[3,1,2,6,1,2]=>[{2,5},{3,6},{1},{4}]=>[2,5,3,6,1,4]
[3,1,2,6,2,1]=>[{2,6},{3,5},{1},{4}]=>[2,6,3,5,1,4]
[3,1,6,1,2,2]=>[{2,4},{5,6},{1},{3}]=>[2,4,5,6,1,3]
[3,1,6,2,1,2]=>[{2,5},{4,6},{1},{3}]=>[2,5,4,6,1,3]
[3,1,6,2,2,1]=>[{2,6},{4,5},{1},{3}]=>[2,6,4,5,1,3]
[3,2,1,1,2,6]=>[{3,4},{2,5},{1},{6}]=>[3,4,2,5,1,6]
[3,2,1,1,6,2]=>[{3,4},{2,6},{1},{5}]=>[3,4,2,6,1,5]
[3,2,1,2,1,6]=>[{3,5},{2,4},{1},{6}]=>[3,5,2,4,1,6]
[3,2,1,2,6,1]=>[{3,6},{2,4},{1},{5}]=>[3,6,2,4,1,5]
[3,2,1,6,1,2]=>[{3,5},{2,6},{1},{4}]=>[3,5,2,6,1,4]
[3,2,1,6,2,1]=>[{3,6},{2,5},{1},{4}]=>[3,6,2,5,1,4]
[3,2,2,1,1,6]=>[{4,5},{2,3},{1},{6}]=>[4,5,2,3,1,6]
[3,2,2,1,6,1]=>[{4,6},{2,3},{1},{5}]=>[4,6,2,3,1,5]
[3,2,2,6,1,1]=>[{5,6},{2,3},{1},{4}]=>[5,6,2,3,1,4]
[3,2,6,1,1,2]=>[{4,5},{2,6},{1},{3}]=>[4,5,2,6,1,3]
[3,2,6,1,2,1]=>[{4,6},{2,5},{1},{3}]=>[4,6,2,5,1,3]
[3,2,6,2,1,1]=>[{5,6},{2,4},{1},{3}]=>[5,6,2,4,1,3]
[3,6,1,1,2,2]=>[{3,4},{5,6},{1},{2}]=>[3,4,5,6,1,2]
[3,6,1,2,1,2]=>[{3,5},{4,6},{1},{2}]=>[3,5,4,6,1,2]
[3,6,1,2,2,1]=>[{3,6},{4,5},{1},{2}]=>[3,6,4,5,1,2]
[3,6,2,1,1,2]=>[{4,5},{3,6},{1},{2}]=>[4,5,3,6,1,2]
[3,6,2,1,2,1]=>[{4,6},{3,5},{1},{2}]=>[4,6,3,5,1,2]
[3,6,2,2,1,1]=>[{5,6},{3,4},{1},{2}]=>[5,6,3,4,1,2]
[6,1,1,2,2,3]=>[{2,3},{4,5},{6},{1}]=>[2,3,4,5,6,1]
[6,1,1,2,3,2]=>[{2,3},{4,6},{5},{1}]=>[2,3,4,6,5,1]
[6,1,1,3,2,2]=>[{2,3},{5,6},{4},{1}]=>[2,3,5,6,4,1]
[6,1,2,1,2,3]=>[{2,4},{3,5},{6},{1}]=>[2,4,3,5,6,1]
[6,1,2,1,3,2]=>[{2,4},{3,6},{5},{1}]=>[2,4,3,6,5,1]
[6,1,2,2,1,3]=>[{2,5},{3,4},{6},{1}]=>[2,5,3,4,6,1]
[6,1,2,2,3,1]=>[{2,6},{3,4},{5},{1}]=>[2,6,3,4,5,1]
[6,1,2,3,1,2]=>[{2,5},{3,6},{4},{1}]=>[2,5,3,6,4,1]
[6,1,2,3,2,1]=>[{2,6},{3,5},{4},{1}]=>[2,6,3,5,4,1]
[6,1,3,1,2,2]=>[{2,4},{5,6},{3},{1}]=>[2,4,5,6,3,1]
[6,1,3,2,1,2]=>[{2,5},{4,6},{3},{1}]=>[2,5,4,6,3,1]
[6,1,3,2,2,1]=>[{2,6},{4,5},{3},{1}]=>[2,6,4,5,3,1]
[6,2,1,1,2,3]=>[{3,4},{2,5},{6},{1}]=>[3,4,2,5,6,1]
[6,2,1,1,3,2]=>[{3,4},{2,6},{5},{1}]=>[3,4,2,6,5,1]
[6,2,1,2,1,3]=>[{3,5},{2,4},{6},{1}]=>[3,5,2,4,6,1]
[6,2,1,2,3,1]=>[{3,6},{2,4},{5},{1}]=>[3,6,2,4,5,1]
[6,2,1,3,1,2]=>[{3,5},{2,6},{4},{1}]=>[3,5,2,6,4,1]
[6,2,1,3,2,1]=>[{3,6},{2,5},{4},{1}]=>[3,6,2,5,4,1]
[6,2,2,1,1,3]=>[{4,5},{2,3},{6},{1}]=>[4,5,2,3,6,1]
[6,2,2,1,3,1]=>[{4,6},{2,3},{5},{1}]=>[4,6,2,3,5,1]
[6,2,2,3,1,1]=>[{5,6},{2,3},{4},{1}]=>[5,6,2,3,4,1]
[6,2,3,1,1,2]=>[{4,5},{2,6},{3},{1}]=>[4,5,2,6,3,1]
[6,2,3,1,2,1]=>[{4,6},{2,5},{3},{1}]=>[4,6,2,5,3,1]
[6,2,3,2,1,1]=>[{5,6},{2,4},{3},{1}]=>[5,6,2,4,3,1]
[6,3,1,1,2,2]=>[{3,4},{5,6},{2},{1}]=>[3,4,5,6,2,1]
[6,3,1,2,1,2]=>[{3,5},{4,6},{2},{1}]=>[3,5,4,6,2,1]
[6,3,1,2,2,1]=>[{3,6},{4,5},{2},{1}]=>[3,6,4,5,2,1]
[6,3,2,1,1,2]=>[{4,5},{3,6},{2},{1}]=>[4,5,3,6,2,1]
[6,3,2,1,2,1]=>[{4,6},{3,5},{2},{1}]=>[4,6,3,5,2,1]
[6,3,2,2,1,1]=>[{5,6},{3,4},{2},{1}]=>[5,6,3,4,2,1]
[1,1,2,2,4,4]=>[{1,2},{3,4},{5,6}]=>[1,2,3,4,5,6]
[1,1,2,4,2,4]=>[{1,2},{3,5},{4,6}]=>[1,2,3,5,4,6]
[1,1,2,4,4,2]=>[{1,2},{3,6},{4,5}]=>[1,2,3,6,4,5]
[1,1,4,2,2,4]=>[{1,2},{4,5},{3,6}]=>[1,2,4,5,3,6]
[1,1,4,2,4,2]=>[{1,2},{4,6},{3,5}]=>[1,2,4,6,3,5]
[1,1,4,4,2,2]=>[{1,2},{5,6},{3,4}]=>[1,2,5,6,3,4]
[1,2,1,2,4,4]=>[{1,3},{2,4},{5,6}]=>[1,3,2,4,5,6]
[1,2,1,4,2,4]=>[{1,3},{2,5},{4,6}]=>[1,3,2,5,4,6]
[1,2,1,4,4,2]=>[{1,3},{2,6},{4,5}]=>[1,3,2,6,4,5]
[1,2,2,1,4,4]=>[{1,4},{2,3},{5,6}]=>[1,4,2,3,5,6]
[1,2,2,4,1,4]=>[{1,5},{2,3},{4,6}]=>[1,5,2,3,4,6]
[1,2,2,4,4,1]=>[{1,6},{2,3},{4,5}]=>[1,6,2,3,4,5]
[1,2,4,1,2,4]=>[{1,4},{2,5},{3,6}]=>[1,4,2,5,3,6]
[1,2,4,1,4,2]=>[{1,4},{2,6},{3,5}]=>[1,4,2,6,3,5]
[1,2,4,2,1,4]=>[{1,5},{2,4},{3,6}]=>[1,5,2,4,3,6]
[1,2,4,2,4,1]=>[{1,6},{2,4},{3,5}]=>[1,6,2,4,3,5]
[1,2,4,4,1,2]=>[{1,5},{2,6},{3,4}]=>[1,5,2,6,3,4]
[1,2,4,4,2,1]=>[{1,6},{2,5},{3,4}]=>[1,6,2,5,3,4]
[1,4,1,2,2,4]=>[{1,3},{4,5},{2,6}]=>[1,3,4,5,2,6]
[1,4,1,2,4,2]=>[{1,3},{4,6},{2,5}]=>[1,3,4,6,2,5]
[1,4,1,4,2,2]=>[{1,3},{5,6},{2,4}]=>[1,3,5,6,2,4]
[1,4,2,1,2,4]=>[{1,4},{3,5},{2,6}]=>[1,4,3,5,2,6]
[1,4,2,1,4,2]=>[{1,4},{3,6},{2,5}]=>[1,4,3,6,2,5]
[1,4,2,2,1,4]=>[{1,5},{3,4},{2,6}]=>[1,5,3,4,2,6]
[1,4,2,2,4,1]=>[{1,6},{3,4},{2,5}]=>[1,6,3,4,2,5]
[1,4,2,4,1,2]=>[{1,5},{3,6},{2,4}]=>[1,5,3,6,2,4]
[1,4,2,4,2,1]=>[{1,6},{3,5},{2,4}]=>[1,6,3,5,2,4]
[1,4,4,1,2,2]=>[{1,4},{5,6},{2,3}]=>[1,4,5,6,2,3]
[1,4,4,2,1,2]=>[{1,5},{4,6},{2,3}]=>[1,5,4,6,2,3]
[1,4,4,2,2,1]=>[{1,6},{4,5},{2,3}]=>[1,6,4,5,2,3]
[2,1,1,2,4,4]=>[{2,3},{1,4},{5,6}]=>[2,3,1,4,5,6]
[2,1,1,4,2,4]=>[{2,3},{1,5},{4,6}]=>[2,3,1,5,4,6]
[2,1,1,4,4,2]=>[{2,3},{1,6},{4,5}]=>[2,3,1,6,4,5]
[2,1,2,1,4,4]=>[{2,4},{1,3},{5,6}]=>[2,4,1,3,5,6]
[2,1,2,4,1,4]=>[{2,5},{1,3},{4,6}]=>[2,5,1,3,4,6]
[2,1,2,4,4,1]=>[{2,6},{1,3},{4,5}]=>[2,6,1,3,4,5]
[2,1,4,1,2,4]=>[{2,4},{1,5},{3,6}]=>[2,4,1,5,3,6]
[2,1,4,1,4,2]=>[{2,4},{1,6},{3,5}]=>[2,4,1,6,3,5]
[2,1,4,2,1,4]=>[{2,5},{1,4},{3,6}]=>[2,5,1,4,3,6]
[2,1,4,2,4,1]=>[{2,6},{1,4},{3,5}]=>[2,6,1,4,3,5]
[2,1,4,4,1,2]=>[{2,5},{1,6},{3,4}]=>[2,5,1,6,3,4]
[2,1,4,4,2,1]=>[{2,6},{1,5},{3,4}]=>[2,6,1,5,3,4]
[2,2,1,1,4,4]=>[{3,4},{1,2},{5,6}]=>[3,4,1,2,5,6]
[2,2,1,4,1,4]=>[{3,5},{1,2},{4,6}]=>[3,5,1,2,4,6]
[2,2,1,4,4,1]=>[{3,6},{1,2},{4,5}]=>[3,6,1,2,4,5]
[2,2,4,1,1,4]=>[{4,5},{1,2},{3,6}]=>[4,5,1,2,3,6]
[2,2,4,1,4,1]=>[{4,6},{1,2},{3,5}]=>[4,6,1,2,3,5]
[2,2,4,4,1,1]=>[{5,6},{1,2},{3,4}]=>[5,6,1,2,3,4]
[2,4,1,1,2,4]=>[{3,4},{1,5},{2,6}]=>[3,4,1,5,2,6]
[2,4,1,1,4,2]=>[{3,4},{1,6},{2,5}]=>[3,4,1,6,2,5]
[2,4,1,2,1,4]=>[{3,5},{1,4},{2,6}]=>[3,5,1,4,2,6]
[2,4,1,2,4,1]=>[{3,6},{1,4},{2,5}]=>[3,6,1,4,2,5]
[2,4,1,4,1,2]=>[{3,5},{1,6},{2,4}]=>[3,5,1,6,2,4]
[2,4,1,4,2,1]=>[{3,6},{1,5},{2,4}]=>[3,6,1,5,2,4]
[2,4,2,1,1,4]=>[{4,5},{1,3},{2,6}]=>[4,5,1,3,2,6]
[2,4,2,1,4,1]=>[{4,6},{1,3},{2,5}]=>[4,6,1,3,2,5]
[2,4,2,4,1,1]=>[{5,6},{1,3},{2,4}]=>[5,6,1,3,2,4]
[2,4,4,1,1,2]=>[{4,5},{1,6},{2,3}]=>[4,5,1,6,2,3]
[2,4,4,1,2,1]=>[{4,6},{1,5},{2,3}]=>[4,6,1,5,2,3]
[2,4,4,2,1,1]=>[{5,6},{1,4},{2,3}]=>[5,6,1,4,2,3]
[4,1,1,2,2,4]=>[{2,3},{4,5},{1,6}]=>[2,3,4,5,1,6]
[4,1,1,2,4,2]=>[{2,3},{4,6},{1,5}]=>[2,3,4,6,1,5]
[4,1,1,4,2,2]=>[{2,3},{5,6},{1,4}]=>[2,3,5,6,1,4]
[4,1,2,1,2,4]=>[{2,4},{3,5},{1,6}]=>[2,4,3,5,1,6]
[4,1,2,1,4,2]=>[{2,4},{3,6},{1,5}]=>[2,4,3,6,1,5]
[4,1,2,2,1,4]=>[{2,5},{3,4},{1,6}]=>[2,5,3,4,1,6]
[4,1,2,2,4,1]=>[{2,6},{3,4},{1,5}]=>[2,6,3,4,1,5]
[4,1,2,4,1,2]=>[{2,5},{3,6},{1,4}]=>[2,5,3,6,1,4]
[4,1,2,4,2,1]=>[{2,6},{3,5},{1,4}]=>[2,6,3,5,1,4]
[4,1,4,1,2,2]=>[{2,4},{5,6},{1,3}]=>[2,4,5,6,1,3]
[4,1,4,2,1,2]=>[{2,5},{4,6},{1,3}]=>[2,5,4,6,1,3]
[4,1,4,2,2,1]=>[{2,6},{4,5},{1,3}]=>[2,6,4,5,1,3]
[4,2,1,1,2,4]=>[{3,4},{2,5},{1,6}]=>[3,4,2,5,1,6]
[4,2,1,1,4,2]=>[{3,4},{2,6},{1,5}]=>[3,4,2,6,1,5]
[4,2,1,2,1,4]=>[{3,5},{2,4},{1,6}]=>[3,5,2,4,1,6]
[4,2,1,2,4,1]=>[{3,6},{2,4},{1,5}]=>[3,6,2,4,1,5]
[4,2,1,4,1,2]=>[{3,5},{2,6},{1,4}]=>[3,5,2,6,1,4]
[4,2,1,4,2,1]=>[{3,6},{2,5},{1,4}]=>[3,6,2,5,1,4]
[4,2,2,1,1,4]=>[{4,5},{2,3},{1,6}]=>[4,5,2,3,1,6]
[4,2,2,1,4,1]=>[{4,6},{2,3},{1,5}]=>[4,6,2,3,1,5]
[4,2,2,4,1,1]=>[{5,6},{2,3},{1,4}]=>[5,6,2,3,1,4]
[4,2,4,1,1,2]=>[{4,5},{2,6},{1,3}]=>[4,5,2,6,1,3]
[4,2,4,1,2,1]=>[{4,6},{2,5},{1,3}]=>[4,6,2,5,1,3]
[4,2,4,2,1,1]=>[{5,6},{2,4},{1,3}]=>[5,6,2,4,1,3]
[4,4,1,1,2,2]=>[{3,4},{5,6},{1,2}]=>[3,4,5,6,1,2]
[4,4,1,2,1,2]=>[{3,5},{4,6},{1,2}]=>[3,5,4,6,1,2]
[4,4,1,2,2,1]=>[{3,6},{4,5},{1,2}]=>[3,6,4,5,1,2]
[4,4,2,1,1,2]=>[{4,5},{3,6},{1,2}]=>[4,5,3,6,1,2]
[4,4,2,1,2,1]=>[{4,6},{3,5},{1,2}]=>[4,6,3,5,1,2]
[4,4,2,2,1,1]=>[{5,6},{3,4},{1,2}]=>[5,6,3,4,1,2]
[1,1,2,2,4,5]=>[{1,2},{3,4},{5},{6}]=>[1,2,3,4,5,6]
[1,1,2,2,5,4]=>[{1,2},{3,4},{6},{5}]=>[1,2,3,4,6,5]
[1,1,2,4,2,5]=>[{1,2},{3,5},{4},{6}]=>[1,2,3,5,4,6]
[1,1,2,4,5,2]=>[{1,2},{3,6},{4},{5}]=>[1,2,3,6,4,5]
[1,1,2,5,2,4]=>[{1,2},{3,5},{6},{4}]=>[1,2,3,5,6,4]
[1,1,2,5,4,2]=>[{1,2},{3,6},{5},{4}]=>[1,2,3,6,5,4]
[1,1,4,2,2,5]=>[{1,2},{4,5},{3},{6}]=>[1,2,4,5,3,6]
[1,1,4,2,5,2]=>[{1,2},{4,6},{3},{5}]=>[1,2,4,6,3,5]
[1,1,4,5,2,2]=>[{1,2},{5,6},{3},{4}]=>[1,2,5,6,3,4]
[1,1,5,2,2,4]=>[{1,2},{4,5},{6},{3}]=>[1,2,4,5,6,3]
[1,1,5,2,4,2]=>[{1,2},{4,6},{5},{3}]=>[1,2,4,6,5,3]
[1,1,5,4,2,2]=>[{1,2},{5,6},{4},{3}]=>[1,2,5,6,4,3]
[1,2,1,2,4,5]=>[{1,3},{2,4},{5},{6}]=>[1,3,2,4,5,6]
[1,2,1,2,5,4]=>[{1,3},{2,4},{6},{5}]=>[1,3,2,4,6,5]
[1,2,1,4,2,5]=>[{1,3},{2,5},{4},{6}]=>[1,3,2,5,4,6]
[1,2,1,4,5,2]=>[{1,3},{2,6},{4},{5}]=>[1,3,2,6,4,5]
[1,2,1,5,2,4]=>[{1,3},{2,5},{6},{4}]=>[1,3,2,5,6,4]
[1,2,1,5,4,2]=>[{1,3},{2,6},{5},{4}]=>[1,3,2,6,5,4]
[1,2,2,1,4,5]=>[{1,4},{2,3},{5},{6}]=>[1,4,2,3,5,6]
[1,2,2,1,5,4]=>[{1,4},{2,3},{6},{5}]=>[1,4,2,3,6,5]
[1,2,2,4,1,5]=>[{1,5},{2,3},{4},{6}]=>[1,5,2,3,4,6]
[1,2,2,4,5,1]=>[{1,6},{2,3},{4},{5}]=>[1,6,2,3,4,5]
[1,2,2,5,1,4]=>[{1,5},{2,3},{6},{4}]=>[1,5,2,3,6,4]
[1,2,2,5,4,1]=>[{1,6},{2,3},{5},{4}]=>[1,6,2,3,5,4]
[1,2,4,1,2,5]=>[{1,4},{2,5},{3},{6}]=>[1,4,2,5,3,6]
[1,2,4,1,5,2]=>[{1,4},{2,6},{3},{5}]=>[1,4,2,6,3,5]
[1,2,4,2,1,5]=>[{1,5},{2,4},{3},{6}]=>[1,5,2,4,3,6]
[1,2,4,2,5,1]=>[{1,6},{2,4},{3},{5}]=>[1,6,2,4,3,5]
[1,2,4,5,1,2]=>[{1,5},{2,6},{3},{4}]=>[1,5,2,6,3,4]
[1,2,4,5,2,1]=>[{1,6},{2,5},{3},{4}]=>[1,6,2,5,3,4]
[1,2,5,1,2,4]=>[{1,4},{2,5},{6},{3}]=>[1,4,2,5,6,3]
[1,2,5,1,4,2]=>[{1,4},{2,6},{5},{3}]=>[1,4,2,6,5,3]
[1,2,5,2,1,4]=>[{1,5},{2,4},{6},{3}]=>[1,5,2,4,6,3]
[1,2,5,2,4,1]=>[{1,6},{2,4},{5},{3}]=>[1,6,2,4,5,3]
[1,2,5,4,1,2]=>[{1,5},{2,6},{4},{3}]=>[1,5,2,6,4,3]
[1,2,5,4,2,1]=>[{1,6},{2,5},{4},{3}]=>[1,6,2,5,4,3]
[1,4,1,2,2,5]=>[{1,3},{4,5},{2},{6}]=>[1,3,4,5,2,6]
[1,4,1,2,5,2]=>[{1,3},{4,6},{2},{5}]=>[1,3,4,6,2,5]
[1,4,1,5,2,2]=>[{1,3},{5,6},{2},{4}]=>[1,3,5,6,2,4]
[1,4,2,1,2,5]=>[{1,4},{3,5},{2},{6}]=>[1,4,3,5,2,6]
[1,4,2,1,5,2]=>[{1,4},{3,6},{2},{5}]=>[1,4,3,6,2,5]
[1,4,2,2,1,5]=>[{1,5},{3,4},{2},{6}]=>[1,5,3,4,2,6]
[1,4,2,2,5,1]=>[{1,6},{3,4},{2},{5}]=>[1,6,3,4,2,5]
[1,4,2,5,1,2]=>[{1,5},{3,6},{2},{4}]=>[1,5,3,6,2,4]
[1,4,2,5,2,1]=>[{1,6},{3,5},{2},{4}]=>[1,6,3,5,2,4]
[1,4,5,1,2,2]=>[{1,4},{5,6},{2},{3}]=>[1,4,5,6,2,3]
[1,4,5,2,1,2]=>[{1,5},{4,6},{2},{3}]=>[1,5,4,6,2,3]
[1,4,5,2,2,1]=>[{1,6},{4,5},{2},{3}]=>[1,6,4,5,2,3]
[1,5,1,2,2,4]=>[{1,3},{4,5},{6},{2}]=>[1,3,4,5,6,2]
[1,5,1,2,4,2]=>[{1,3},{4,6},{5},{2}]=>[1,3,4,6,5,2]
[1,5,1,4,2,2]=>[{1,3},{5,6},{4},{2}]=>[1,3,5,6,4,2]
[1,5,2,1,2,4]=>[{1,4},{3,5},{6},{2}]=>[1,4,3,5,6,2]
[1,5,2,1,4,2]=>[{1,4},{3,6},{5},{2}]=>[1,4,3,6,5,2]
[1,5,2,2,1,4]=>[{1,5},{3,4},{6},{2}]=>[1,5,3,4,6,2]
[1,5,2,2,4,1]=>[{1,6},{3,4},{5},{2}]=>[1,6,3,4,5,2]
[1,5,2,4,1,2]=>[{1,5},{3,6},{4},{2}]=>[1,5,3,6,4,2]
[1,5,2,4,2,1]=>[{1,6},{3,5},{4},{2}]=>[1,6,3,5,4,2]
[1,5,4,1,2,2]=>[{1,4},{5,6},{3},{2}]=>[1,4,5,6,3,2]
[1,5,4,2,1,2]=>[{1,5},{4,6},{3},{2}]=>[1,5,4,6,3,2]
[1,5,4,2,2,1]=>[{1,6},{4,5},{3},{2}]=>[1,6,4,5,3,2]
[2,1,1,2,4,5]=>[{2,3},{1,4},{5},{6}]=>[2,3,1,4,5,6]
[2,1,1,2,5,4]=>[{2,3},{1,4},{6},{5}]=>[2,3,1,4,6,5]
[2,1,1,4,2,5]=>[{2,3},{1,5},{4},{6}]=>[2,3,1,5,4,6]
[2,1,1,4,5,2]=>[{2,3},{1,6},{4},{5}]=>[2,3,1,6,4,5]
[2,1,1,5,2,4]=>[{2,3},{1,5},{6},{4}]=>[2,3,1,5,6,4]
[2,1,1,5,4,2]=>[{2,3},{1,6},{5},{4}]=>[2,3,1,6,5,4]
[2,1,2,1,4,5]=>[{2,4},{1,3},{5},{6}]=>[2,4,1,3,5,6]
[2,1,2,1,5,4]=>[{2,4},{1,3},{6},{5}]=>[2,4,1,3,6,5]
[2,1,2,4,1,5]=>[{2,5},{1,3},{4},{6}]=>[2,5,1,3,4,6]
[2,1,2,4,5,1]=>[{2,6},{1,3},{4},{5}]=>[2,6,1,3,4,5]
[2,1,2,5,1,4]=>[{2,5},{1,3},{6},{4}]=>[2,5,1,3,6,4]
[2,1,2,5,4,1]=>[{2,6},{1,3},{5},{4}]=>[2,6,1,3,5,4]
[2,1,4,1,2,5]=>[{2,4},{1,5},{3},{6}]=>[2,4,1,5,3,6]
[2,1,4,1,5,2]=>[{2,4},{1,6},{3},{5}]=>[2,4,1,6,3,5]
[2,1,4,2,1,5]=>[{2,5},{1,4},{3},{6}]=>[2,5,1,4,3,6]
[2,1,4,2,5,1]=>[{2,6},{1,4},{3},{5}]=>[2,6,1,4,3,5]
[2,1,4,5,1,2]=>[{2,5},{1,6},{3},{4}]=>[2,5,1,6,3,4]
[2,1,4,5,2,1]=>[{2,6},{1,5},{3},{4}]=>[2,6,1,5,3,4]
[2,1,5,1,2,4]=>[{2,4},{1,5},{6},{3}]=>[2,4,1,5,6,3]
[2,1,5,1,4,2]=>[{2,4},{1,6},{5},{3}]=>[2,4,1,6,5,3]
[2,1,5,2,1,4]=>[{2,5},{1,4},{6},{3}]=>[2,5,1,4,6,3]
[2,1,5,2,4,1]=>[{2,6},{1,4},{5},{3}]=>[2,6,1,4,5,3]
[2,1,5,4,1,2]=>[{2,5},{1,6},{4},{3}]=>[2,5,1,6,4,3]
[2,1,5,4,2,1]=>[{2,6},{1,5},{4},{3}]=>[2,6,1,5,4,3]
[2,2,1,1,4,5]=>[{3,4},{1,2},{5},{6}]=>[3,4,1,2,5,6]
[2,2,1,1,5,4]=>[{3,4},{1,2},{6},{5}]=>[3,4,1,2,6,5]
[2,2,1,4,1,5]=>[{3,5},{1,2},{4},{6}]=>[3,5,1,2,4,6]
[2,2,1,4,5,1]=>[{3,6},{1,2},{4},{5}]=>[3,6,1,2,4,5]
[2,2,1,5,1,4]=>[{3,5},{1,2},{6},{4}]=>[3,5,1,2,6,4]
[2,2,1,5,4,1]=>[{3,6},{1,2},{5},{4}]=>[3,6,1,2,5,4]
[2,2,4,1,1,5]=>[{4,5},{1,2},{3},{6}]=>[4,5,1,2,3,6]
[2,2,4,1,5,1]=>[{4,6},{1,2},{3},{5}]=>[4,6,1,2,3,5]
[2,2,4,5,1,1]=>[{5,6},{1,2},{3},{4}]=>[5,6,1,2,3,4]
[2,2,5,1,1,4]=>[{4,5},{1,2},{6},{3}]=>[4,5,1,2,6,3]
[2,2,5,1,4,1]=>[{4,6},{1,2},{5},{3}]=>[4,6,1,2,5,3]
[2,2,5,4,1,1]=>[{5,6},{1,2},{4},{3}]=>[5,6,1,2,4,3]
[2,4,1,1,2,5]=>[{3,4},{1,5},{2},{6}]=>[3,4,1,5,2,6]
[2,4,1,1,5,2]=>[{3,4},{1,6},{2},{5}]=>[3,4,1,6,2,5]
[2,4,1,2,1,5]=>[{3,5},{1,4},{2},{6}]=>[3,5,1,4,2,6]
[2,4,1,2,5,1]=>[{3,6},{1,4},{2},{5}]=>[3,6,1,4,2,5]
[2,4,1,5,1,2]=>[{3,5},{1,6},{2},{4}]=>[3,5,1,6,2,4]
[2,4,1,5,2,1]=>[{3,6},{1,5},{2},{4}]=>[3,6,1,5,2,4]
[2,4,2,1,1,5]=>[{4,5},{1,3},{2},{6}]=>[4,5,1,3,2,6]
[2,4,2,1,5,1]=>[{4,6},{1,3},{2},{5}]=>[4,6,1,3,2,5]
[2,4,2,5,1,1]=>[{5,6},{1,3},{2},{4}]=>[5,6,1,3,2,4]
[2,4,5,1,1,2]=>[{4,5},{1,6},{2},{3}]=>[4,5,1,6,2,3]
[2,4,5,1,2,1]=>[{4,6},{1,5},{2},{3}]=>[4,6,1,5,2,3]
[2,4,5,2,1,1]=>[{5,6},{1,4},{2},{3}]=>[5,6,1,4,2,3]
[2,5,1,1,2,4]=>[{3,4},{1,5},{6},{2}]=>[3,4,1,5,6,2]
[2,5,1,1,4,2]=>[{3,4},{1,6},{5},{2}]=>[3,4,1,6,5,2]
[2,5,1,2,1,4]=>[{3,5},{1,4},{6},{2}]=>[3,5,1,4,6,2]
[2,5,1,2,4,1]=>[{3,6},{1,4},{5},{2}]=>[3,6,1,4,5,2]
[2,5,1,4,1,2]=>[{3,5},{1,6},{4},{2}]=>[3,5,1,6,4,2]
[2,5,1,4,2,1]=>[{3,6},{1,5},{4},{2}]=>[3,6,1,5,4,2]
[2,5,2,1,1,4]=>[{4,5},{1,3},{6},{2}]=>[4,5,1,3,6,2]
[2,5,2,1,4,1]=>[{4,6},{1,3},{5},{2}]=>[4,6,1,3,5,2]
[2,5,2,4,1,1]=>[{5,6},{1,3},{4},{2}]=>[5,6,1,3,4,2]
[2,5,4,1,1,2]=>[{4,5},{1,6},{3},{2}]=>[4,5,1,6,3,2]
[2,5,4,1,2,1]=>[{4,6},{1,5},{3},{2}]=>[4,6,1,5,3,2]
[2,5,4,2,1,1]=>[{5,6},{1,4},{3},{2}]=>[5,6,1,4,3,2]
[4,1,1,2,2,5]=>[{2,3},{4,5},{1},{6}]=>[2,3,4,5,1,6]
[4,1,1,2,5,2]=>[{2,3},{4,6},{1},{5}]=>[2,3,4,6,1,5]
[4,1,1,5,2,2]=>[{2,3},{5,6},{1},{4}]=>[2,3,5,6,1,4]
[4,1,2,1,2,5]=>[{2,4},{3,5},{1},{6}]=>[2,4,3,5,1,6]
[4,1,2,1,5,2]=>[{2,4},{3,6},{1},{5}]=>[2,4,3,6,1,5]
[4,1,2,2,1,5]=>[{2,5},{3,4},{1},{6}]=>[2,5,3,4,1,6]
[4,1,2,2,5,1]=>[{2,6},{3,4},{1},{5}]=>[2,6,3,4,1,5]
[4,1,2,5,1,2]=>[{2,5},{3,6},{1},{4}]=>[2,5,3,6,1,4]
[4,1,2,5,2,1]=>[{2,6},{3,5},{1},{4}]=>[2,6,3,5,1,4]
[4,1,5,1,2,2]=>[{2,4},{5,6},{1},{3}]=>[2,4,5,6,1,3]
[4,1,5,2,1,2]=>[{2,5},{4,6},{1},{3}]=>[2,5,4,6,1,3]
[4,1,5,2,2,1]=>[{2,6},{4,5},{1},{3}]=>[2,6,4,5,1,3]
[4,2,1,1,2,5]=>[{3,4},{2,5},{1},{6}]=>[3,4,2,5,1,6]
[4,2,1,1,5,2]=>[{3,4},{2,6},{1},{5}]=>[3,4,2,6,1,5]
[4,2,1,2,1,5]=>[{3,5},{2,4},{1},{6}]=>[3,5,2,4,1,6]
[4,2,1,2,5,1]=>[{3,6},{2,4},{1},{5}]=>[3,6,2,4,1,5]
[4,2,1,5,1,2]=>[{3,5},{2,6},{1},{4}]=>[3,5,2,6,1,4]
[4,2,1,5,2,1]=>[{3,6},{2,5},{1},{4}]=>[3,6,2,5,1,4]
[4,2,2,1,1,5]=>[{4,5},{2,3},{1},{6}]=>[4,5,2,3,1,6]
[4,2,2,1,5,1]=>[{4,6},{2,3},{1},{5}]=>[4,6,2,3,1,5]
[4,2,2,5,1,1]=>[{5,6},{2,3},{1},{4}]=>[5,6,2,3,1,4]
[4,2,5,1,1,2]=>[{4,5},{2,6},{1},{3}]=>[4,5,2,6,1,3]
[4,2,5,1,2,1]=>[{4,6},{2,5},{1},{3}]=>[4,6,2,5,1,3]
[4,2,5,2,1,1]=>[{5,6},{2,4},{1},{3}]=>[5,6,2,4,1,3]
[4,5,1,1,2,2]=>[{3,4},{5,6},{1},{2}]=>[3,4,5,6,1,2]
[4,5,1,2,1,2]=>[{3,5},{4,6},{1},{2}]=>[3,5,4,6,1,2]
[4,5,1,2,2,1]=>[{3,6},{4,5},{1},{2}]=>[3,6,4,5,1,2]
[4,5,2,1,1,2]=>[{4,5},{3,6},{1},{2}]=>[4,5,3,6,1,2]
[4,5,2,1,2,1]=>[{4,6},{3,5},{1},{2}]=>[4,6,3,5,1,2]
[4,5,2,2,1,1]=>[{5,6},{3,4},{1},{2}]=>[5,6,3,4,1,2]
[5,1,1,2,2,4]=>[{2,3},{4,5},{6},{1}]=>[2,3,4,5,6,1]
[5,1,1,2,4,2]=>[{2,3},{4,6},{5},{1}]=>[2,3,4,6,5,1]
[5,1,1,4,2,2]=>[{2,3},{5,6},{4},{1}]=>[2,3,5,6,4,1]
[5,1,2,1,2,4]=>[{2,4},{3,5},{6},{1}]=>[2,4,3,5,6,1]
[5,1,2,1,4,2]=>[{2,4},{3,6},{5},{1}]=>[2,4,3,6,5,1]
[5,1,2,2,1,4]=>[{2,5},{3,4},{6},{1}]=>[2,5,3,4,6,1]
[5,1,2,2,4,1]=>[{2,6},{3,4},{5},{1}]=>[2,6,3,4,5,1]
[5,1,2,4,1,2]=>[{2,5},{3,6},{4},{1}]=>[2,5,3,6,4,1]
[5,1,2,4,2,1]=>[{2,6},{3,5},{4},{1}]=>[2,6,3,5,4,1]
[5,1,4,1,2,2]=>[{2,4},{5,6},{3},{1}]=>[2,4,5,6,3,1]
[5,1,4,2,1,2]=>[{2,5},{4,6},{3},{1}]=>[2,5,4,6,3,1]
[5,1,4,2,2,1]=>[{2,6},{4,5},{3},{1}]=>[2,6,4,5,3,1]
[5,2,1,1,2,4]=>[{3,4},{2,5},{6},{1}]=>[3,4,2,5,6,1]
[5,2,1,1,4,2]=>[{3,4},{2,6},{5},{1}]=>[3,4,2,6,5,1]
[5,2,1,2,1,4]=>[{3,5},{2,4},{6},{1}]=>[3,5,2,4,6,1]
[5,2,1,2,4,1]=>[{3,6},{2,4},{5},{1}]=>[3,6,2,4,5,1]
[5,2,1,4,1,2]=>[{3,5},{2,6},{4},{1}]=>[3,5,2,6,4,1]
[5,2,1,4,2,1]=>[{3,6},{2,5},{4},{1}]=>[3,6,2,5,4,1]
[5,2,2,1,1,4]=>[{4,5},{2,3},{6},{1}]=>[4,5,2,3,6,1]
[5,2,2,1,4,1]=>[{4,6},{2,3},{5},{1}]=>[4,6,2,3,5,1]
[5,2,2,4,1,1]=>[{5,6},{2,3},{4},{1}]=>[5,6,2,3,4,1]
[5,2,4,1,1,2]=>[{4,5},{2,6},{3},{1}]=>[4,5,2,6,3,1]
[5,2,4,1,2,1]=>[{4,6},{2,5},{3},{1}]=>[4,6,2,5,3,1]
[5,2,4,2,1,1]=>[{5,6},{2,4},{3},{1}]=>[5,6,2,4,3,1]
[5,4,1,1,2,2]=>[{3,4},{5,6},{2},{1}]=>[3,4,5,6,2,1]
[5,4,1,2,1,2]=>[{3,5},{4,6},{2},{1}]=>[3,5,4,6,2,1]
[5,4,1,2,2,1]=>[{3,6},{4,5},{2},{1}]=>[3,6,4,5,2,1]
[5,4,2,1,1,2]=>[{4,5},{3,6},{2},{1}]=>[4,5,3,6,2,1]
[5,4,2,1,2,1]=>[{4,6},{3,5},{2},{1}]=>[4,6,3,5,2,1]
[5,4,2,2,1,1]=>[{5,6},{3,4},{2},{1}]=>[5,6,3,4,2,1]
[1,1,2,2,4,6]=>[{1,2},{3,4},{5},{6}]=>[1,2,3,4,5,6]
[1,1,2,2,6,4]=>[{1,2},{3,4},{6},{5}]=>[1,2,3,4,6,5]
[1,1,2,4,2,6]=>[{1,2},{3,5},{4},{6}]=>[1,2,3,5,4,6]
[1,1,2,4,6,2]=>[{1,2},{3,6},{4},{5}]=>[1,2,3,6,4,5]
[1,1,2,6,2,4]=>[{1,2},{3,5},{6},{4}]=>[1,2,3,5,6,4]
[1,1,2,6,4,2]=>[{1,2},{3,6},{5},{4}]=>[1,2,3,6,5,4]
[1,1,4,2,2,6]=>[{1,2},{4,5},{3},{6}]=>[1,2,4,5,3,6]
[1,1,4,2,6,2]=>[{1,2},{4,6},{3},{5}]=>[1,2,4,6,3,5]
[1,1,4,6,2,2]=>[{1,2},{5,6},{3},{4}]=>[1,2,5,6,3,4]
[1,1,6,2,2,4]=>[{1,2},{4,5},{6},{3}]=>[1,2,4,5,6,3]
[1,1,6,2,4,2]=>[{1,2},{4,6},{5},{3}]=>[1,2,4,6,5,3]
[1,1,6,4,2,2]=>[{1,2},{5,6},{4},{3}]=>[1,2,5,6,4,3]
[1,2,1,2,4,6]=>[{1,3},{2,4},{5},{6}]=>[1,3,2,4,5,6]
[1,2,1,2,6,4]=>[{1,3},{2,4},{6},{5}]=>[1,3,2,4,6,5]
[1,2,1,4,2,6]=>[{1,3},{2,5},{4},{6}]=>[1,3,2,5,4,6]
[1,2,1,4,6,2]=>[{1,3},{2,6},{4},{5}]=>[1,3,2,6,4,5]
[1,2,1,6,2,4]=>[{1,3},{2,5},{6},{4}]=>[1,3,2,5,6,4]
[1,2,1,6,4,2]=>[{1,3},{2,6},{5},{4}]=>[1,3,2,6,5,4]
[1,2,2,1,4,6]=>[{1,4},{2,3},{5},{6}]=>[1,4,2,3,5,6]
[1,2,2,1,6,4]=>[{1,4},{2,3},{6},{5}]=>[1,4,2,3,6,5]
[1,2,2,4,1,6]=>[{1,5},{2,3},{4},{6}]=>[1,5,2,3,4,6]
[1,2,2,4,6,1]=>[{1,6},{2,3},{4},{5}]=>[1,6,2,3,4,5]
[1,2,2,6,1,4]=>[{1,5},{2,3},{6},{4}]=>[1,5,2,3,6,4]
[1,2,2,6,4,1]=>[{1,6},{2,3},{5},{4}]=>[1,6,2,3,5,4]
[1,2,4,1,2,6]=>[{1,4},{2,5},{3},{6}]=>[1,4,2,5,3,6]
[1,2,4,1,6,2]=>[{1,4},{2,6},{3},{5}]=>[1,4,2,6,3,5]
[1,2,4,2,1,6]=>[{1,5},{2,4},{3},{6}]=>[1,5,2,4,3,6]
[1,2,4,2,6,1]=>[{1,6},{2,4},{3},{5}]=>[1,6,2,4,3,5]
[1,2,4,6,1,2]=>[{1,5},{2,6},{3},{4}]=>[1,5,2,6,3,4]
[1,2,4,6,2,1]=>[{1,6},{2,5},{3},{4}]=>[1,6,2,5,3,4]
[1,2,6,1,2,4]=>[{1,4},{2,5},{6},{3}]=>[1,4,2,5,6,3]
[1,2,6,1,4,2]=>[{1,4},{2,6},{5},{3}]=>[1,4,2,6,5,3]
[1,2,6,2,1,4]=>[{1,5},{2,4},{6},{3}]=>[1,5,2,4,6,3]
[1,2,6,2,4,1]=>[{1,6},{2,4},{5},{3}]=>[1,6,2,4,5,3]
[1,2,6,4,1,2]=>[{1,5},{2,6},{4},{3}]=>[1,5,2,6,4,3]
[1,2,6,4,2,1]=>[{1,6},{2,5},{4},{3}]=>[1,6,2,5,4,3]
[1,4,1,2,2,6]=>[{1,3},{4,5},{2},{6}]=>[1,3,4,5,2,6]
[1,4,1,2,6,2]=>[{1,3},{4,6},{2},{5}]=>[1,3,4,6,2,5]
[1,4,1,6,2,2]=>[{1,3},{5,6},{2},{4}]=>[1,3,5,6,2,4]
[1,4,2,1,2,6]=>[{1,4},{3,5},{2},{6}]=>[1,4,3,5,2,6]
[1,4,2,1,6,2]=>[{1,4},{3,6},{2},{5}]=>[1,4,3,6,2,5]
[1,4,2,2,1,6]=>[{1,5},{3,4},{2},{6}]=>[1,5,3,4,2,6]
[1,4,2,2,6,1]=>[{1,6},{3,4},{2},{5}]=>[1,6,3,4,2,5]
[1,4,2,6,1,2]=>[{1,5},{3,6},{2},{4}]=>[1,5,3,6,2,4]
[1,4,2,6,2,1]=>[{1,6},{3,5},{2},{4}]=>[1,6,3,5,2,4]
[1,4,6,1,2,2]=>[{1,4},{5,6},{2},{3}]=>[1,4,5,6,2,3]
[1,4,6,2,1,2]=>[{1,5},{4,6},{2},{3}]=>[1,5,4,6,2,3]
[1,4,6,2,2,1]=>[{1,6},{4,5},{2},{3}]=>[1,6,4,5,2,3]
[1,6,1,2,2,4]=>[{1,3},{4,5},{6},{2}]=>[1,3,4,5,6,2]
[1,6,1,2,4,2]=>[{1,3},{4,6},{5},{2}]=>[1,3,4,6,5,2]
[1,6,1,4,2,2]=>[{1,3},{5,6},{4},{2}]=>[1,3,5,6,4,2]
[1,6,2,1,2,4]=>[{1,4},{3,5},{6},{2}]=>[1,4,3,5,6,2]
[1,6,2,1,4,2]=>[{1,4},{3,6},{5},{2}]=>[1,4,3,6,5,2]
[1,6,2,2,1,4]=>[{1,5},{3,4},{6},{2}]=>[1,5,3,4,6,2]
[1,6,2,2,4,1]=>[{1,6},{3,4},{5},{2}]=>[1,6,3,4,5,2]
[1,6,2,4,1,2]=>[{1,5},{3,6},{4},{2}]=>[1,5,3,6,4,2]
[1,6,2,4,2,1]=>[{1,6},{3,5},{4},{2}]=>[1,6,3,5,4,2]
[1,6,4,1,2,2]=>[{1,4},{5,6},{3},{2}]=>[1,4,5,6,3,2]
[1,6,4,2,1,2]=>[{1,5},{4,6},{3},{2}]=>[1,5,4,6,3,2]
[1,6,4,2,2,1]=>[{1,6},{4,5},{3},{2}]=>[1,6,4,5,3,2]
[2,1,1,2,4,6]=>[{2,3},{1,4},{5},{6}]=>[2,3,1,4,5,6]
[2,1,1,2,6,4]=>[{2,3},{1,4},{6},{5}]=>[2,3,1,4,6,5]
[2,1,1,4,2,6]=>[{2,3},{1,5},{4},{6}]=>[2,3,1,5,4,6]
[2,1,1,4,6,2]=>[{2,3},{1,6},{4},{5}]=>[2,3,1,6,4,5]
[2,1,1,6,2,4]=>[{2,3},{1,5},{6},{4}]=>[2,3,1,5,6,4]
[2,1,1,6,4,2]=>[{2,3},{1,6},{5},{4}]=>[2,3,1,6,5,4]
[2,1,2,1,4,6]=>[{2,4},{1,3},{5},{6}]=>[2,4,1,3,5,6]
[2,1,2,1,6,4]=>[{2,4},{1,3},{6},{5}]=>[2,4,1,3,6,5]
[2,1,2,4,1,6]=>[{2,5},{1,3},{4},{6}]=>[2,5,1,3,4,6]
[2,1,2,4,6,1]=>[{2,6},{1,3},{4},{5}]=>[2,6,1,3,4,5]
[2,1,2,6,1,4]=>[{2,5},{1,3},{6},{4}]=>[2,5,1,3,6,4]
[2,1,2,6,4,1]=>[{2,6},{1,3},{5},{4}]=>[2,6,1,3,5,4]
[2,1,4,1,2,6]=>[{2,4},{1,5},{3},{6}]=>[2,4,1,5,3,6]
[2,1,4,1,6,2]=>[{2,4},{1,6},{3},{5}]=>[2,4,1,6,3,5]
[2,1,4,2,1,6]=>[{2,5},{1,4},{3},{6}]=>[2,5,1,4,3,6]
[2,1,4,2,6,1]=>[{2,6},{1,4},{3},{5}]=>[2,6,1,4,3,5]
[2,1,4,6,1,2]=>[{2,5},{1,6},{3},{4}]=>[2,5,1,6,3,4]
[2,1,4,6,2,1]=>[{2,6},{1,5},{3},{4}]=>[2,6,1,5,3,4]
[2,1,6,1,2,4]=>[{2,4},{1,5},{6},{3}]=>[2,4,1,5,6,3]
[2,1,6,1,4,2]=>[{2,4},{1,6},{5},{3}]=>[2,4,1,6,5,3]
[2,1,6,2,1,4]=>[{2,5},{1,4},{6},{3}]=>[2,5,1,4,6,3]
[2,1,6,2,4,1]=>[{2,6},{1,4},{5},{3}]=>[2,6,1,4,5,3]
[2,1,6,4,1,2]=>[{2,5},{1,6},{4},{3}]=>[2,5,1,6,4,3]
[2,1,6,4,2,1]=>[{2,6},{1,5},{4},{3}]=>[2,6,1,5,4,3]
[2,2,1,1,4,6]=>[{3,4},{1,2},{5},{6}]=>[3,4,1,2,5,6]
[2,2,1,1,6,4]=>[{3,4},{1,2},{6},{5}]=>[3,4,1,2,6,5]
[2,2,1,4,1,6]=>[{3,5},{1,2},{4},{6}]=>[3,5,1,2,4,6]
[2,2,1,4,6,1]=>[{3,6},{1,2},{4},{5}]=>[3,6,1,2,4,5]
[2,2,1,6,1,4]=>[{3,5},{1,2},{6},{4}]=>[3,5,1,2,6,4]
[2,2,1,6,4,1]=>[{3,6},{1,2},{5},{4}]=>[3,6,1,2,5,4]
[2,2,4,1,1,6]=>[{4,5},{1,2},{3},{6}]=>[4,5,1,2,3,6]
[2,2,4,1,6,1]=>[{4,6},{1,2},{3},{5}]=>[4,6,1,2,3,5]
[2,2,4,6,1,1]=>[{5,6},{1,2},{3},{4}]=>[5,6,1,2,3,4]
[2,2,6,1,1,4]=>[{4,5},{1,2},{6},{3}]=>[4,5,1,2,6,3]
[2,2,6,1,4,1]=>[{4,6},{1,2},{5},{3}]=>[4,6,1,2,5,3]
[2,2,6,4,1,1]=>[{5,6},{1,2},{4},{3}]=>[5,6,1,2,4,3]
[2,4,1,1,2,6]=>[{3,4},{1,5},{2},{6}]=>[3,4,1,5,2,6]
[2,4,1,1,6,2]=>[{3,4},{1,6},{2},{5}]=>[3,4,1,6,2,5]
[2,4,1,2,1,6]=>[{3,5},{1,4},{2},{6}]=>[3,5,1,4,2,6]
[2,4,1,2,6,1]=>[{3,6},{1,4},{2},{5}]=>[3,6,1,4,2,5]
[2,4,1,6,1,2]=>[{3,5},{1,6},{2},{4}]=>[3,5,1,6,2,4]
[2,4,1,6,2,1]=>[{3,6},{1,5},{2},{4}]=>[3,6,1,5,2,4]
[2,4,2,1,1,6]=>[{4,5},{1,3},{2},{6}]=>[4,5,1,3,2,6]
[2,4,2,1,6,1]=>[{4,6},{1,3},{2},{5}]=>[4,6,1,3,2,5]
[2,4,2,6,1,1]=>[{5,6},{1,3},{2},{4}]=>[5,6,1,3,2,4]
[2,4,6,1,1,2]=>[{4,5},{1,6},{2},{3}]=>[4,5,1,6,2,3]
[2,4,6,1,2,1]=>[{4,6},{1,5},{2},{3}]=>[4,6,1,5,2,3]
[2,4,6,2,1,1]=>[{5,6},{1,4},{2},{3}]=>[5,6,1,4,2,3]
[2,6,1,1,2,4]=>[{3,4},{1,5},{6},{2}]=>[3,4,1,5,6,2]
[2,6,1,1,4,2]=>[{3,4},{1,6},{5},{2}]=>[3,4,1,6,5,2]
[2,6,1,2,1,4]=>[{3,5},{1,4},{6},{2}]=>[3,5,1,4,6,2]
[2,6,1,2,4,1]=>[{3,6},{1,4},{5},{2}]=>[3,6,1,4,5,2]
[2,6,1,4,1,2]=>[{3,5},{1,6},{4},{2}]=>[3,5,1,6,4,2]
[2,6,1,4,2,1]=>[{3,6},{1,5},{4},{2}]=>[3,6,1,5,4,2]
[2,6,2,1,1,4]=>[{4,5},{1,3},{6},{2}]=>[4,5,1,3,6,2]
[2,6,2,1,4,1]=>[{4,6},{1,3},{5},{2}]=>[4,6,1,3,5,2]
[2,6,2,4,1,1]=>[{5,6},{1,3},{4},{2}]=>[5,6,1,3,4,2]
[2,6,4,1,1,2]=>[{4,5},{1,6},{3},{2}]=>[4,5,1,6,3,2]
[2,6,4,1,2,1]=>[{4,6},{1,5},{3},{2}]=>[4,6,1,5,3,2]
[2,6,4,2,1,1]=>[{5,6},{1,4},{3},{2}]=>[5,6,1,4,3,2]
[4,1,1,2,2,6]=>[{2,3},{4,5},{1},{6}]=>[2,3,4,5,1,6]
[4,1,1,2,6,2]=>[{2,3},{4,6},{1},{5}]=>[2,3,4,6,1,5]
[4,1,1,6,2,2]=>[{2,3},{5,6},{1},{4}]=>[2,3,5,6,1,4]
[4,1,2,1,2,6]=>[{2,4},{3,5},{1},{6}]=>[2,4,3,5,1,6]
[4,1,2,1,6,2]=>[{2,4},{3,6},{1},{5}]=>[2,4,3,6,1,5]
[4,1,2,2,1,6]=>[{2,5},{3,4},{1},{6}]=>[2,5,3,4,1,6]
[4,1,2,2,6,1]=>[{2,6},{3,4},{1},{5}]=>[2,6,3,4,1,5]
[4,1,2,6,1,2]=>[{2,5},{3,6},{1},{4}]=>[2,5,3,6,1,4]
[4,1,2,6,2,1]=>[{2,6},{3,5},{1},{4}]=>[2,6,3,5,1,4]
[4,1,6,1,2,2]=>[{2,4},{5,6},{1},{3}]=>[2,4,5,6,1,3]
[4,1,6,2,1,2]=>[{2,5},{4,6},{1},{3}]=>[2,5,4,6,1,3]
[4,1,6,2,2,1]=>[{2,6},{4,5},{1},{3}]=>[2,6,4,5,1,3]
[4,2,1,1,2,6]=>[{3,4},{2,5},{1},{6}]=>[3,4,2,5,1,6]
[4,2,1,1,6,2]=>[{3,4},{2,6},{1},{5}]=>[3,4,2,6,1,5]
[4,2,1,2,1,6]=>[{3,5},{2,4},{1},{6}]=>[3,5,2,4,1,6]
[4,2,1,2,6,1]=>[{3,6},{2,4},{1},{5}]=>[3,6,2,4,1,5]
[4,2,1,6,1,2]=>[{3,5},{2,6},{1},{4}]=>[3,5,2,6,1,4]
[4,2,1,6,2,1]=>[{3,6},{2,5},{1},{4}]=>[3,6,2,5,1,4]
[4,2,2,1,1,6]=>[{4,5},{2,3},{1},{6}]=>[4,5,2,3,1,6]
[4,2,2,1,6,1]=>[{4,6},{2,3},{1},{5}]=>[4,6,2,3,1,5]
[4,2,2,6,1,1]=>[{5,6},{2,3},{1},{4}]=>[5,6,2,3,1,4]
[4,2,6,1,1,2]=>[{4,5},{2,6},{1},{3}]=>[4,5,2,6,1,3]
[4,2,6,1,2,1]=>[{4,6},{2,5},{1},{3}]=>[4,6,2,5,1,3]
[4,2,6,2,1,1]=>[{5,6},{2,4},{1},{3}]=>[5,6,2,4,1,3]
[4,6,1,1,2,2]=>[{3,4},{5,6},{1},{2}]=>[3,4,5,6,1,2]
[4,6,1,2,1,2]=>[{3,5},{4,6},{1},{2}]=>[3,5,4,6,1,2]
[4,6,1,2,2,1]=>[{3,6},{4,5},{1},{2}]=>[3,6,4,5,1,2]
[4,6,2,1,1,2]=>[{4,5},{3,6},{1},{2}]=>[4,5,3,6,1,2]
[4,6,2,1,2,1]=>[{4,6},{3,5},{1},{2}]=>[4,6,3,5,1,2]
[4,6,2,2,1,1]=>[{5,6},{3,4},{1},{2}]=>[5,6,3,4,1,2]
[6,1,1,2,2,4]=>[{2,3},{4,5},{6},{1}]=>[2,3,4,5,6,1]
[6,1,1,2,4,2]=>[{2,3},{4,6},{5},{1}]=>[2,3,4,6,5,1]
[6,1,1,4,2,2]=>[{2,3},{5,6},{4},{1}]=>[2,3,5,6,4,1]
[6,1,2,1,2,4]=>[{2,4},{3,5},{6},{1}]=>[2,4,3,5,6,1]
[6,1,2,1,4,2]=>[{2,4},{3,6},{5},{1}]=>[2,4,3,6,5,1]
[6,1,2,2,1,4]=>[{2,5},{3,4},{6},{1}]=>[2,5,3,4,6,1]
[6,1,2,2,4,1]=>[{2,6},{3,4},{5},{1}]=>[2,6,3,4,5,1]
[6,1,2,4,1,2]=>[{2,5},{3,6},{4},{1}]=>[2,5,3,6,4,1]
[6,1,2,4,2,1]=>[{2,6},{3,5},{4},{1}]=>[2,6,3,5,4,1]
[6,1,4,1,2,2]=>[{2,4},{5,6},{3},{1}]=>[2,4,5,6,3,1]
[6,1,4,2,1,2]=>[{2,5},{4,6},{3},{1}]=>[2,5,4,6,3,1]
[6,1,4,2,2,1]=>[{2,6},{4,5},{3},{1}]=>[2,6,4,5,3,1]
[6,2,1,1,2,4]=>[{3,4},{2,5},{6},{1}]=>[3,4,2,5,6,1]
[6,2,1,1,4,2]=>[{3,4},{2,6},{5},{1}]=>[3,4,2,6,5,1]
[6,2,1,2,1,4]=>[{3,5},{2,4},{6},{1}]=>[3,5,2,4,6,1]
[6,2,1,2,4,1]=>[{3,6},{2,4},{5},{1}]=>[3,6,2,4,5,1]
[6,2,1,4,1,2]=>[{3,5},{2,6},{4},{1}]=>[3,5,2,6,4,1]
[6,2,1,4,2,1]=>[{3,6},{2,5},{4},{1}]=>[3,6,2,5,4,1]
[6,2,2,1,1,4]=>[{4,5},{2,3},{6},{1}]=>[4,5,2,3,6,1]
[6,2,2,1,4,1]=>[{4,6},{2,3},{5},{1}]=>[4,6,2,3,5,1]
[6,2,2,4,1,1]=>[{5,6},{2,3},{4},{1}]=>[5,6,2,3,4,1]
[6,2,4,1,1,2]=>[{4,5},{2,6},{3},{1}]=>[4,5,2,6,3,1]
[6,2,4,1,2,1]=>[{4,6},{2,5},{3},{1}]=>[4,6,2,5,3,1]
[6,2,4,2,1,1]=>[{5,6},{2,4},{3},{1}]=>[5,6,2,4,3,1]
[6,4,1,1,2,2]=>[{3,4},{5,6},{2},{1}]=>[3,4,5,6,2,1]
[6,4,1,2,1,2]=>[{3,5},{4,6},{2},{1}]=>[3,5,4,6,2,1]
[6,4,1,2,2,1]=>[{3,6},{4,5},{2},{1}]=>[3,6,4,5,2,1]
[6,4,2,1,1,2]=>[{4,5},{3,6},{2},{1}]=>[4,5,3,6,2,1]
[6,4,2,1,2,1]=>[{4,6},{3,5},{2},{1}]=>[4,6,3,5,2,1]
[6,4,2,2,1,1]=>[{5,6},{3,4},{2},{1}]=>[5,6,3,4,2,1]
[1,1,2,2,5,5]=>[{1,2},{3,4},{5,6}]=>[1,2,3,4,5,6]
[1,1,2,5,2,5]=>[{1,2},{3,5},{4,6}]=>[1,2,3,5,4,6]
[1,1,2,5,5,2]=>[{1,2},{3,6},{4,5}]=>[1,2,3,6,4,5]
[1,1,5,2,2,5]=>[{1,2},{4,5},{3,6}]=>[1,2,4,5,3,6]
[1,1,5,2,5,2]=>[{1,2},{4,6},{3,5}]=>[1,2,4,6,3,5]
[1,1,5,5,2,2]=>[{1,2},{5,6},{3,4}]=>[1,2,5,6,3,4]
[1,2,1,2,5,5]=>[{1,3},{2,4},{5,6}]=>[1,3,2,4,5,6]
[1,2,1,5,2,5]=>[{1,3},{2,5},{4,6}]=>[1,3,2,5,4,6]
[1,2,1,5,5,2]=>[{1,3},{2,6},{4,5}]=>[1,3,2,6,4,5]
[1,2,2,1,5,5]=>[{1,4},{2,3},{5,6}]=>[1,4,2,3,5,6]
[1,2,2,5,1,5]=>[{1,5},{2,3},{4,6}]=>[1,5,2,3,4,6]
[1,2,2,5,5,1]=>[{1,6},{2,3},{4,5}]=>[1,6,2,3,4,5]
[1,2,5,1,2,5]=>[{1,4},{2,5},{3,6}]=>[1,4,2,5,3,6]
[1,2,5,1,5,2]=>[{1,4},{2,6},{3,5}]=>[1,4,2,6,3,5]
[1,2,5,2,1,5]=>[{1,5},{2,4},{3,6}]=>[1,5,2,4,3,6]
[1,2,5,2,5,1]=>[{1,6},{2,4},{3,5}]=>[1,6,2,4,3,5]
[1,2,5,5,1,2]=>[{1,5},{2,6},{3,4}]=>[1,5,2,6,3,4]
[1,2,5,5,2,1]=>[{1,6},{2,5},{3,4}]=>[1,6,2,5,3,4]
[1,5,1,2,2,5]=>[{1,3},{4,5},{2,6}]=>[1,3,4,5,2,6]
[1,5,1,2,5,2]=>[{1,3},{4,6},{2,5}]=>[1,3,4,6,2,5]
[1,5,1,5,2,2]=>[{1,3},{5,6},{2,4}]=>[1,3,5,6,2,4]
[1,5,2,1,2,5]=>[{1,4},{3,5},{2,6}]=>[1,4,3,5,2,6]
[1,5,2,1,5,2]=>[{1,4},{3,6},{2,5}]=>[1,4,3,6,2,5]
[1,5,2,2,1,5]=>[{1,5},{3,4},{2,6}]=>[1,5,3,4,2,6]
[1,5,2,2,5,1]=>[{1,6},{3,4},{2,5}]=>[1,6,3,4,2,5]
[1,5,2,5,1,2]=>[{1,5},{3,6},{2,4}]=>[1,5,3,6,2,4]
[1,5,2,5,2,1]=>[{1,6},{3,5},{2,4}]=>[1,6,3,5,2,4]
[1,5,5,1,2,2]=>[{1,4},{5,6},{2,3}]=>[1,4,5,6,2,3]
[1,5,5,2,1,2]=>[{1,5},{4,6},{2,3}]=>[1,5,4,6,2,3]
[1,5,5,2,2,1]=>[{1,6},{4,5},{2,3}]=>[1,6,4,5,2,3]
[2,1,1,2,5,5]=>[{2,3},{1,4},{5,6}]=>[2,3,1,4,5,6]
[2,1,1,5,2,5]=>[{2,3},{1,5},{4,6}]=>[2,3,1,5,4,6]
[2,1,1,5,5,2]=>[{2,3},{1,6},{4,5}]=>[2,3,1,6,4,5]
[2,1,2,1,5,5]=>[{2,4},{1,3},{5,6}]=>[2,4,1,3,5,6]
[2,1,2,5,1,5]=>[{2,5},{1,3},{4,6}]=>[2,5,1,3,4,6]
[2,1,2,5,5,1]=>[{2,6},{1,3},{4,5}]=>[2,6,1,3,4,5]
[2,1,5,1,2,5]=>[{2,4},{1,5},{3,6}]=>[2,4,1,5,3,6]
[2,1,5,1,5,2]=>[{2,4},{1,6},{3,5}]=>[2,4,1,6,3,5]
[2,1,5,2,1,5]=>[{2,5},{1,4},{3,6}]=>[2,5,1,4,3,6]
[2,1,5,2,5,1]=>[{2,6},{1,4},{3,5}]=>[2,6,1,4,3,5]
[2,1,5,5,1,2]=>[{2,5},{1,6},{3,4}]=>[2,5,1,6,3,4]
[2,1,5,5,2,1]=>[{2,6},{1,5},{3,4}]=>[2,6,1,5,3,4]
[2,2,1,1,5,5]=>[{3,4},{1,2},{5,6}]=>[3,4,1,2,5,6]
[2,2,1,5,1,5]=>[{3,5},{1,2},{4,6}]=>[3,5,1,2,4,6]
[2,2,1,5,5,1]=>[{3,6},{1,2},{4,5}]=>[3,6,1,2,4,5]
[2,2,5,1,1,5]=>[{4,5},{1,2},{3,6}]=>[4,5,1,2,3,6]
[2,2,5,1,5,1]=>[{4,6},{1,2},{3,5}]=>[4,6,1,2,3,5]
[2,2,5,5,1,1]=>[{5,6},{1,2},{3,4}]=>[5,6,1,2,3,4]
[2,5,1,1,2,5]=>[{3,4},{1,5},{2,6}]=>[3,4,1,5,2,6]
[2,5,1,1,5,2]=>[{3,4},{1,6},{2,5}]=>[3,4,1,6,2,5]
[2,5,1,2,1,5]=>[{3,5},{1,4},{2,6}]=>[3,5,1,4,2,6]
[2,5,1,2,5,1]=>[{3,6},{1,4},{2,5}]=>[3,6,1,4,2,5]
[2,5,1,5,1,2]=>[{3,5},{1,6},{2,4}]=>[3,5,1,6,2,4]
[2,5,1,5,2,1]=>[{3,6},{1,5},{2,4}]=>[3,6,1,5,2,4]
[2,5,2,1,1,5]=>[{4,5},{1,3},{2,6}]=>[4,5,1,3,2,6]
[2,5,2,1,5,1]=>[{4,6},{1,3},{2,5}]=>[4,6,1,3,2,5]
[2,5,2,5,1,1]=>[{5,6},{1,3},{2,4}]=>[5,6,1,3,2,4]
[2,5,5,1,1,2]=>[{4,5},{1,6},{2,3}]=>[4,5,1,6,2,3]
[2,5,5,1,2,1]=>[{4,6},{1,5},{2,3}]=>[4,6,1,5,2,3]
[2,5,5,2,1,1]=>[{5,6},{1,4},{2,3}]=>[5,6,1,4,2,3]
[5,1,1,2,2,5]=>[{2,3},{4,5},{1,6}]=>[2,3,4,5,1,6]
[5,1,1,2,5,2]=>[{2,3},{4,6},{1,5}]=>[2,3,4,6,1,5]
[5,1,1,5,2,2]=>[{2,3},{5,6},{1,4}]=>[2,3,5,6,1,4]
[5,1,2,1,2,5]=>[{2,4},{3,5},{1,6}]=>[2,4,3,5,1,6]
[5,1,2,1,5,2]=>[{2,4},{3,6},{1,5}]=>[2,4,3,6,1,5]
[5,1,2,2,1,5]=>[{2,5},{3,4},{1,6}]=>[2,5,3,4,1,6]
[5,1,2,2,5,1]=>[{2,6},{3,4},{1,5}]=>[2,6,3,4,1,5]
[5,1,2,5,1,2]=>[{2,5},{3,6},{1,4}]=>[2,5,3,6,1,4]
[5,1,2,5,2,1]=>[{2,6},{3,5},{1,4}]=>[2,6,3,5,1,4]
[5,1,5,1,2,2]=>[{2,4},{5,6},{1,3}]=>[2,4,5,6,1,3]
[5,1,5,2,1,2]=>[{2,5},{4,6},{1,3}]=>[2,5,4,6,1,3]
[5,1,5,2,2,1]=>[{2,6},{4,5},{1,3}]=>[2,6,4,5,1,3]
[5,2,1,1,2,5]=>[{3,4},{2,5},{1,6}]=>[3,4,2,5,1,6]
[5,2,1,1,5,2]=>[{3,4},{2,6},{1,5}]=>[3,4,2,6,1,5]
[5,2,1,2,1,5]=>[{3,5},{2,4},{1,6}]=>[3,5,2,4,1,6]
[5,2,1,2,5,1]=>[{3,6},{2,4},{1,5}]=>[3,6,2,4,1,5]
[5,2,1,5,1,2]=>[{3,5},{2,6},{1,4}]=>[3,5,2,6,1,4]
[5,2,1,5,2,1]=>[{3,6},{2,5},{1,4}]=>[3,6,2,5,1,4]
[5,2,2,1,1,5]=>[{4,5},{2,3},{1,6}]=>[4,5,2,3,1,6]
[5,2,2,1,5,1]=>[{4,6},{2,3},{1,5}]=>[4,6,2,3,1,5]
[5,2,2,5,1,1]=>[{5,6},{2,3},{1,4}]=>[5,6,2,3,1,4]
[5,2,5,1,1,2]=>[{4,5},{2,6},{1,3}]=>[4,5,2,6,1,3]
[5,2,5,1,2,1]=>[{4,6},{2,5},{1,3}]=>[4,6,2,5,1,3]
[5,2,5,2,1,1]=>[{5,6},{2,4},{1,3}]=>[5,6,2,4,1,3]
[5,5,1,1,2,2]=>[{3,4},{5,6},{1,2}]=>[3,4,5,6,1,2]
[5,5,1,2,1,2]=>[{3,5},{4,6},{1,2}]=>[3,5,4,6,1,2]
[5,5,1,2,2,1]=>[{3,6},{4,5},{1,2}]=>[3,6,4,5,1,2]
[5,5,2,1,1,2]=>[{4,5},{3,6},{1,2}]=>[4,5,3,6,1,2]
[5,5,2,1,2,1]=>[{4,6},{3,5},{1,2}]=>[4,6,3,5,1,2]
[5,5,2,2,1,1]=>[{5,6},{3,4},{1,2}]=>[5,6,3,4,1,2]
[1,1,2,2,5,6]=>[{1,2},{3,4},{5},{6}]=>[1,2,3,4,5,6]
[1,1,2,2,6,5]=>[{1,2},{3,4},{6},{5}]=>[1,2,3,4,6,5]
[1,1,2,5,2,6]=>[{1,2},{3,5},{4},{6}]=>[1,2,3,5,4,6]
[1,1,2,5,6,2]=>[{1,2},{3,6},{4},{5}]=>[1,2,3,6,4,5]
[1,1,2,6,2,5]=>[{1,2},{3,5},{6},{4}]=>[1,2,3,5,6,4]
[1,1,2,6,5,2]=>[{1,2},{3,6},{5},{4}]=>[1,2,3,6,5,4]
[1,1,5,2,2,6]=>[{1,2},{4,5},{3},{6}]=>[1,2,4,5,3,6]
[1,1,5,2,6,2]=>[{1,2},{4,6},{3},{5}]=>[1,2,4,6,3,5]
[1,1,5,6,2,2]=>[{1,2},{5,6},{3},{4}]=>[1,2,5,6,3,4]
[1,1,6,2,2,5]=>[{1,2},{4,5},{6},{3}]=>[1,2,4,5,6,3]
[1,1,6,2,5,2]=>[{1,2},{4,6},{5},{3}]=>[1,2,4,6,5,3]
[1,1,6,5,2,2]=>[{1,2},{5,6},{4},{3}]=>[1,2,5,6,4,3]
[1,2,1,2,5,6]=>[{1,3},{2,4},{5},{6}]=>[1,3,2,4,5,6]
[1,2,1,2,6,5]=>[{1,3},{2,4},{6},{5}]=>[1,3,2,4,6,5]
[1,2,1,5,2,6]=>[{1,3},{2,5},{4},{6}]=>[1,3,2,5,4,6]
[1,2,1,5,6,2]=>[{1,3},{2,6},{4},{5}]=>[1,3,2,6,4,5]
[1,2,1,6,2,5]=>[{1,3},{2,5},{6},{4}]=>[1,3,2,5,6,4]
[1,2,1,6,5,2]=>[{1,3},{2,6},{5},{4}]=>[1,3,2,6,5,4]
[1,2,2,1,5,6]=>[{1,4},{2,3},{5},{6}]=>[1,4,2,3,5,6]
[1,2,2,1,6,5]=>[{1,4},{2,3},{6},{5}]=>[1,4,2,3,6,5]
[1,2,2,5,1,6]=>[{1,5},{2,3},{4},{6}]=>[1,5,2,3,4,6]
[1,2,2,5,6,1]=>[{1,6},{2,3},{4},{5}]=>[1,6,2,3,4,5]
[1,2,2,6,1,5]=>[{1,5},{2,3},{6},{4}]=>[1,5,2,3,6,4]
[1,2,2,6,5,1]=>[{1,6},{2,3},{5},{4}]=>[1,6,2,3,5,4]
[1,2,5,1,2,6]=>[{1,4},{2,5},{3},{6}]=>[1,4,2,5,3,6]
[1,2,5,1,6,2]=>[{1,4},{2,6},{3},{5}]=>[1,4,2,6,3,5]
[1,2,5,2,1,6]=>[{1,5},{2,4},{3},{6}]=>[1,5,2,4,3,6]
[1,2,5,2,6,1]=>[{1,6},{2,4},{3},{5}]=>[1,6,2,4,3,5]
[1,2,5,6,1,2]=>[{1,5},{2,6},{3},{4}]=>[1,5,2,6,3,4]
[1,2,5,6,2,1]=>[{1,6},{2,5},{3},{4}]=>[1,6,2,5,3,4]
[1,2,6,1,2,5]=>[{1,4},{2,5},{6},{3}]=>[1,4,2,5,6,3]
[1,2,6,1,5,2]=>[{1,4},{2,6},{5},{3}]=>[1,4,2,6,5,3]
[1,2,6,2,1,5]=>[{1,5},{2,4},{6},{3}]=>[1,5,2,4,6,3]
[1,2,6,2,5,1]=>[{1,6},{2,4},{5},{3}]=>[1,6,2,4,5,3]
[1,2,6,5,1,2]=>[{1,5},{2,6},{4},{3}]=>[1,5,2,6,4,3]
[1,2,6,5,2,1]=>[{1,6},{2,5},{4},{3}]=>[1,6,2,5,4,3]
[1,5,1,2,2,6]=>[{1,3},{4,5},{2},{6}]=>[1,3,4,5,2,6]
[1,5,1,2,6,2]=>[{1,3},{4,6},{2},{5}]=>[1,3,4,6,2,5]
[1,5,1,6,2,2]=>[{1,3},{5,6},{2},{4}]=>[1,3,5,6,2,4]
[1,5,2,1,2,6]=>[{1,4},{3,5},{2},{6}]=>[1,4,3,5,2,6]
[1,5,2,1,6,2]=>[{1,4},{3,6},{2},{5}]=>[1,4,3,6,2,5]
[1,5,2,2,1,6]=>[{1,5},{3,4},{2},{6}]=>[1,5,3,4,2,6]
[1,5,2,2,6,1]=>[{1,6},{3,4},{2},{5}]=>[1,6,3,4,2,5]
[1,5,2,6,1,2]=>[{1,5},{3,6},{2},{4}]=>[1,5,3,6,2,4]
[1,5,2,6,2,1]=>[{1,6},{3,5},{2},{4}]=>[1,6,3,5,2,4]
[1,5,6,1,2,2]=>[{1,4},{5,6},{2},{3}]=>[1,4,5,6,2,3]
[1,5,6,2,1,2]=>[{1,5},{4,6},{2},{3}]=>[1,5,4,6,2,3]
[1,5,6,2,2,1]=>[{1,6},{4,5},{2},{3}]=>[1,6,4,5,2,3]
[1,6,1,2,2,5]=>[{1,3},{4,5},{6},{2}]=>[1,3,4,5,6,2]
[1,6,1,2,5,2]=>[{1,3},{4,6},{5},{2}]=>[1,3,4,6,5,2]
[1,6,1,5,2,2]=>[{1,3},{5,6},{4},{2}]=>[1,3,5,6,4,2]
[1,6,2,1,2,5]=>[{1,4},{3,5},{6},{2}]=>[1,4,3,5,6,2]
[1,6,2,1,5,2]=>[{1,4},{3,6},{5},{2}]=>[1,4,3,6,5,2]
[1,6,2,2,1,5]=>[{1,5},{3,4},{6},{2}]=>[1,5,3,4,6,2]
[1,6,2,2,5,1]=>[{1,6},{3,4},{5},{2}]=>[1,6,3,4,5,2]
[1,6,2,5,1,2]=>[{1,5},{3,6},{4},{2}]=>[1,5,3,6,4,2]
[1,6,2,5,2,1]=>[{1,6},{3,5},{4},{2}]=>[1,6,3,5,4,2]
[1,6,5,1,2,2]=>[{1,4},{5,6},{3},{2}]=>[1,4,5,6,3,2]
[1,6,5,2,1,2]=>[{1,5},{4,6},{3},{2}]=>[1,5,4,6,3,2]
[1,6,5,2,2,1]=>[{1,6},{4,5},{3},{2}]=>[1,6,4,5,3,2]
[2,1,1,2,5,6]=>[{2,3},{1,4},{5},{6}]=>[2,3,1,4,5,6]
[2,1,1,2,6,5]=>[{2,3},{1,4},{6},{5}]=>[2,3,1,4,6,5]
[2,1,1,5,2,6]=>[{2,3},{1,5},{4},{6}]=>[2,3,1,5,4,6]
[2,1,1,5,6,2]=>[{2,3},{1,6},{4},{5}]=>[2,3,1,6,4,5]
[2,1,1,6,2,5]=>[{2,3},{1,5},{6},{4}]=>[2,3,1,5,6,4]
[2,1,1,6,5,2]=>[{2,3},{1,6},{5},{4}]=>[2,3,1,6,5,4]
[2,1,2,1,5,6]=>[{2,4},{1,3},{5},{6}]=>[2,4,1,3,5,6]
[2,1,2,1,6,5]=>[{2,4},{1,3},{6},{5}]=>[2,4,1,3,6,5]
[2,1,2,5,1,6]=>[{2,5},{1,3},{4},{6}]=>[2,5,1,3,4,6]
[2,1,2,5,6,1]=>[{2,6},{1,3},{4},{5}]=>[2,6,1,3,4,5]
[2,1,2,6,1,5]=>[{2,5},{1,3},{6},{4}]=>[2,5,1,3,6,4]
[2,1,2,6,5,1]=>[{2,6},{1,3},{5},{4}]=>[2,6,1,3,5,4]
[2,1,5,1,2,6]=>[{2,4},{1,5},{3},{6}]=>[2,4,1,5,3,6]
[2,1,5,1,6,2]=>[{2,4},{1,6},{3},{5}]=>[2,4,1,6,3,5]
[2,1,5,2,1,6]=>[{2,5},{1,4},{3},{6}]=>[2,5,1,4,3,6]
[2,1,5,2,6,1]=>[{2,6},{1,4},{3},{5}]=>[2,6,1,4,3,5]
[2,1,5,6,1,2]=>[{2,5},{1,6},{3},{4}]=>[2,5,1,6,3,4]
[2,1,5,6,2,1]=>[{2,6},{1,5},{3},{4}]=>[2,6,1,5,3,4]
[2,1,6,1,2,5]=>[{2,4},{1,5},{6},{3}]=>[2,4,1,5,6,3]
[2,1,6,1,5,2]=>[{2,4},{1,6},{5},{3}]=>[2,4,1,6,5,3]
[2,1,6,2,1,5]=>[{2,5},{1,4},{6},{3}]=>[2,5,1,4,6,3]
[2,1,6,2,5,1]=>[{2,6},{1,4},{5},{3}]=>[2,6,1,4,5,3]
[2,1,6,5,1,2]=>[{2,5},{1,6},{4},{3}]=>[2,5,1,6,4,3]
[2,1,6,5,2,1]=>[{2,6},{1,5},{4},{3}]=>[2,6,1,5,4,3]
[2,2,1,1,5,6]=>[{3,4},{1,2},{5},{6}]=>[3,4,1,2,5,6]
[2,2,1,1,6,5]=>[{3,4},{1,2},{6},{5}]=>[3,4,1,2,6,5]
[2,2,1,5,1,6]=>[{3,5},{1,2},{4},{6}]=>[3,5,1,2,4,6]
[2,2,1,5,6,1]=>[{3,6},{1,2},{4},{5}]=>[3,6,1,2,4,5]
[2,2,1,6,1,5]=>[{3,5},{1,2},{6},{4}]=>[3,5,1,2,6,4]
[2,2,1,6,5,1]=>[{3,6},{1,2},{5},{4}]=>[3,6,1,2,5,4]
[2,2,5,1,1,6]=>[{4,5},{1,2},{3},{6}]=>[4,5,1,2,3,6]
[2,2,5,1,6,1]=>[{4,6},{1,2},{3},{5}]=>[4,6,1,2,3,5]
[2,2,5,6,1,1]=>[{5,6},{1,2},{3},{4}]=>[5,6,1,2,3,4]
[2,2,6,1,1,5]=>[{4,5},{1,2},{6},{3}]=>[4,5,1,2,6,3]
[2,2,6,1,5,1]=>[{4,6},{1,2},{5},{3}]=>[4,6,1,2,5,3]
[2,2,6,5,1,1]=>[{5,6},{1,2},{4},{3}]=>[5,6,1,2,4,3]
[2,5,1,1,2,6]=>[{3,4},{1,5},{2},{6}]=>[3,4,1,5,2,6]
[2,5,1,1,6,2]=>[{3,4},{1,6},{2},{5}]=>[3,4,1,6,2,5]
[2,5,1,2,1,6]=>[{3,5},{1,4},{2},{6}]=>[3,5,1,4,2,6]
[2,5,1,2,6,1]=>[{3,6},{1,4},{2},{5}]=>[3,6,1,4,2,5]
[2,5,1,6,1,2]=>[{3,5},{1,6},{2},{4}]=>[3,5,1,6,2,4]
[2,5,1,6,2,1]=>[{3,6},{1,5},{2},{4}]=>[3,6,1,5,2,4]
[2,5,2,1,1,6]=>[{4,5},{1,3},{2},{6}]=>[4,5,1,3,2,6]
[2,5,2,1,6,1]=>[{4,6},{1,3},{2},{5}]=>[4,6,1,3,2,5]
[2,5,2,6,1,1]=>[{5,6},{1,3},{2},{4}]=>[5,6,1,3,2,4]
[2,5,6,1,1,2]=>[{4,5},{1,6},{2},{3}]=>[4,5,1,6,2,3]
[2,5,6,1,2,1]=>[{4,6},{1,5},{2},{3}]=>[4,6,1,5,2,3]
[2,5,6,2,1,1]=>[{5,6},{1,4},{2},{3}]=>[5,6,1,4,2,3]
[2,6,1,1,2,5]=>[{3,4},{1,5},{6},{2}]=>[3,4,1,5,6,2]
[2,6,1,1,5,2]=>[{3,4},{1,6},{5},{2}]=>[3,4,1,6,5,2]
[2,6,1,2,1,5]=>[{3,5},{1,4},{6},{2}]=>[3,5,1,4,6,2]
[2,6,1,2,5,1]=>[{3,6},{1,4},{5},{2}]=>[3,6,1,4,5,2]
[2,6,1,5,1,2]=>[{3,5},{1,6},{4},{2}]=>[3,5,1,6,4,2]
[2,6,1,5,2,1]=>[{3,6},{1,5},{4},{2}]=>[3,6,1,5,4,2]
[2,6,2,1,1,5]=>[{4,5},{1,3},{6},{2}]=>[4,5,1,3,6,2]
[2,6,2,1,5,1]=>[{4,6},{1,3},{5},{2}]=>[4,6,1,3,5,2]
[2,6,2,5,1,1]=>[{5,6},{1,3},{4},{2}]=>[5,6,1,3,4,2]
[2,6,5,1,1,2]=>[{4,5},{1,6},{3},{2}]=>[4,5,1,6,3,2]
[2,6,5,1,2,1]=>[{4,6},{1,5},{3},{2}]=>[4,6,1,5,3,2]
[2,6,5,2,1,1]=>[{5,6},{1,4},{3},{2}]=>[5,6,1,4,3,2]
[5,1,1,2,2,6]=>[{2,3},{4,5},{1},{6}]=>[2,3,4,5,1,6]
[5,1,1,2,6,2]=>[{2,3},{4,6},{1},{5}]=>[2,3,4,6,1,5]
[5,1,1,6,2,2]=>[{2,3},{5,6},{1},{4}]=>[2,3,5,6,1,4]
[5,1,2,1,2,6]=>[{2,4},{3,5},{1},{6}]=>[2,4,3,5,1,6]
[5,1,2,1,6,2]=>[{2,4},{3,6},{1},{5}]=>[2,4,3,6,1,5]
[5,1,2,2,1,6]=>[{2,5},{3,4},{1},{6}]=>[2,5,3,4,1,6]
[5,1,2,2,6,1]=>[{2,6},{3,4},{1},{5}]=>[2,6,3,4,1,5]
[5,1,2,6,1,2]=>[{2,5},{3,6},{1},{4}]=>[2,5,3,6,1,4]
[5,1,2,6,2,1]=>[{2,6},{3,5},{1},{4}]=>[2,6,3,5,1,4]
[5,1,6,1,2,2]=>[{2,4},{5,6},{1},{3}]=>[2,4,5,6,1,3]
[5,1,6,2,1,2]=>[{2,5},{4,6},{1},{3}]=>[2,5,4,6,1,3]
[5,1,6,2,2,1]=>[{2,6},{4,5},{1},{3}]=>[2,6,4,5,1,3]
[5,2,1,1,2,6]=>[{3,4},{2,5},{1},{6}]=>[3,4,2,5,1,6]
[5,2,1,1,6,2]=>[{3,4},{2,6},{1},{5}]=>[3,4,2,6,1,5]
[5,2,1,2,1,6]=>[{3,5},{2,4},{1},{6}]=>[3,5,2,4,1,6]
[5,2,1,2,6,1]=>[{3,6},{2,4},{1},{5}]=>[3,6,2,4,1,5]
[5,2,1,6,1,2]=>[{3,5},{2,6},{1},{4}]=>[3,5,2,6,1,4]
[5,2,1,6,2,1]=>[{3,6},{2,5},{1},{4}]=>[3,6,2,5,1,4]
[5,2,2,1,1,6]=>[{4,5},{2,3},{1},{6}]=>[4,5,2,3,1,6]
[5,2,2,1,6,1]=>[{4,6},{2,3},{1},{5}]=>[4,6,2,3,1,5]
[5,2,2,6,1,1]=>[{5,6},{2,3},{1},{4}]=>[5,6,2,3,1,4]
[5,2,6,1,1,2]=>[{4,5},{2,6},{1},{3}]=>[4,5,2,6,1,3]
[5,2,6,1,2,1]=>[{4,6},{2,5},{1},{3}]=>[4,6,2,5,1,3]
[5,2,6,2,1,1]=>[{5,6},{2,4},{1},{3}]=>[5,6,2,4,1,3]
[5,6,1,1,2,2]=>[{3,4},{5,6},{1},{2}]=>[3,4,5,6,1,2]
[5,6,1,2,1,2]=>[{3,5},{4,6},{1},{2}]=>[3,5,4,6,1,2]
[5,6,1,2,2,1]=>[{3,6},{4,5},{1},{2}]=>[3,6,4,5,1,2]
[5,6,2,1,1,2]=>[{4,5},{3,6},{1},{2}]=>[4,5,3,6,1,2]
[5,6,2,1,2,1]=>[{4,6},{3,5},{1},{2}]=>[4,6,3,5,1,2]
[5,6,2,2,1,1]=>[{5,6},{3,4},{1},{2}]=>[5,6,3,4,1,2]
[6,1,1,2,2,5]=>[{2,3},{4,5},{6},{1}]=>[2,3,4,5,6,1]
[6,1,1,2,5,2]=>[{2,3},{4,6},{5},{1}]=>[2,3,4,6,5,1]
[6,1,1,5,2,2]=>[{2,3},{5,6},{4},{1}]=>[2,3,5,6,4,1]
[6,1,2,1,2,5]=>[{2,4},{3,5},{6},{1}]=>[2,4,3,5,6,1]
[6,1,2,1,5,2]=>[{2,4},{3,6},{5},{1}]=>[2,4,3,6,5,1]
[6,1,2,2,1,5]=>[{2,5},{3,4},{6},{1}]=>[2,5,3,4,6,1]
[6,1,2,2,5,1]=>[{2,6},{3,4},{5},{1}]=>[2,6,3,4,5,1]
[6,1,2,5,1,2]=>[{2,5},{3,6},{4},{1}]=>[2,5,3,6,4,1]
[6,1,2,5,2,1]=>[{2,6},{3,5},{4},{1}]=>[2,6,3,5,4,1]
[6,1,5,1,2,2]=>[{2,4},{5,6},{3},{1}]=>[2,4,5,6,3,1]
[6,1,5,2,1,2]=>[{2,5},{4,6},{3},{1}]=>[2,5,4,6,3,1]
[6,1,5,2,2,1]=>[{2,6},{4,5},{3},{1}]=>[2,6,4,5,3,1]
[6,2,1,1,2,5]=>[{3,4},{2,5},{6},{1}]=>[3,4,2,5,6,1]
[6,2,1,1,5,2]=>[{3,4},{2,6},{5},{1}]=>[3,4,2,6,5,1]
[6,2,1,2,1,5]=>[{3,5},{2,4},{6},{1}]=>[3,5,2,4,6,1]
[6,2,1,2,5,1]=>[{3,6},{2,4},{5},{1}]=>[3,6,2,4,5,1]
[6,2,1,5,1,2]=>[{3,5},{2,6},{4},{1}]=>[3,5,2,6,4,1]
[6,2,1,5,2,1]=>[{3,6},{2,5},{4},{1}]=>[3,6,2,5,4,1]
[6,2,2,1,1,5]=>[{4,5},{2,3},{6},{1}]=>[4,5,2,3,6,1]
[6,2,2,1,5,1]=>[{4,6},{2,3},{5},{1}]=>[4,6,2,3,5,1]
[6,2,2,5,1,1]=>[{5,6},{2,3},{4},{1}]=>[5,6,2,3,4,1]
[6,2,5,1,1,2]=>[{4,5},{2,6},{3},{1}]=>[4,5,2,6,3,1]
[6,2,5,1,2,1]=>[{4,6},{2,5},{3},{1}]=>[4,6,2,5,3,1]
[6,2,5,2,1,1]=>[{5,6},{2,4},{3},{1}]=>[5,6,2,4,3,1]
[6,5,1,1,2,2]=>[{3,4},{5,6},{2},{1}]=>[3,4,5,6,2,1]
[6,5,1,2,1,2]=>[{3,5},{4,6},{2},{1}]=>[3,5,4,6,2,1]
[6,5,1,2,2,1]=>[{3,6},{4,5},{2},{1}]=>[3,6,4,5,2,1]
[6,5,2,1,1,2]=>[{4,5},{3,6},{2},{1}]=>[4,5,3,6,2,1]
[6,5,2,1,2,1]=>[{4,6},{3,5},{2},{1}]=>[4,6,3,5,2,1]
[6,5,2,2,1,1]=>[{5,6},{3,4},{2},{1}]=>[5,6,3,4,2,1]
[1,1,2,3,3,3]=>[{1,2},{3},{4,5,6}]=>[1,2,3,4,5,6]
[1,1,3,2,3,3]=>[{1,2},{4},{3,5,6}]=>[1,2,4,3,5,6]
[1,1,3,3,2,3]=>[{1,2},{5},{3,4,6}]=>[1,2,5,3,4,6]
[1,1,3,3,3,2]=>[{1,2},{6},{3,4,5}]=>[1,2,6,3,4,5]
[1,2,1,3,3,3]=>[{1,3},{2},{4,5,6}]=>[1,3,2,4,5,6]
[1,2,3,1,3,3]=>[{1,4},{2},{3,5,6}]=>[1,4,2,3,5,6]
[1,2,3,3,1,3]=>[{1,5},{2},{3,4,6}]=>[1,5,2,3,4,6]
[1,2,3,3,3,1]=>[{1,6},{2},{3,4,5}]=>[1,6,2,3,4,5]
[1,3,1,2,3,3]=>[{1,3},{4},{2,5,6}]=>[1,3,4,2,5,6]
[1,3,1,3,2,3]=>[{1,3},{5},{2,4,6}]=>[1,3,5,2,4,6]
[1,3,1,3,3,2]=>[{1,3},{6},{2,4,5}]=>[1,3,6,2,4,5]
[1,3,2,1,3,3]=>[{1,4},{3},{2,5,6}]=>[1,4,3,2,5,6]
[1,3,2,3,1,3]=>[{1,5},{3},{2,4,6}]=>[1,5,3,2,4,6]
[1,3,2,3,3,1]=>[{1,6},{3},{2,4,5}]=>[1,6,3,2,4,5]
[1,3,3,1,2,3]=>[{1,4},{5},{2,3,6}]=>[1,4,5,2,3,6]
[1,3,3,1,3,2]=>[{1,4},{6},{2,3,5}]=>[1,4,6,2,3,5]
[1,3,3,2,1,3]=>[{1,5},{4},{2,3,6}]=>[1,5,4,2,3,6]
[1,3,3,2,3,1]=>[{1,6},{4},{2,3,5}]=>[1,6,4,2,3,5]
[1,3,3,3,1,2]=>[{1,5},{6},{2,3,4}]=>[1,5,6,2,3,4]
[1,3,3,3,2,1]=>[{1,6},{5},{2,3,4}]=>[1,6,5,2,3,4]
[2,1,1,3,3,3]=>[{2,3},{1},{4,5,6}]=>[2,3,1,4,5,6]
[2,1,3,1,3,3]=>[{2,4},{1},{3,5,6}]=>[2,4,1,3,5,6]
[2,1,3,3,1,3]=>[{2,5},{1},{3,4,6}]=>[2,5,1,3,4,6]
[2,1,3,3,3,1]=>[{2,6},{1},{3,4,5}]=>[2,6,1,3,4,5]
[2,3,1,1,3,3]=>[{3,4},{1},{2,5,6}]=>[3,4,1,2,5,6]
[2,3,1,3,1,3]=>[{3,5},{1},{2,4,6}]=>[3,5,1,2,4,6]
[2,3,1,3,3,1]=>[{3,6},{1},{2,4,5}]=>[3,6,1,2,4,5]
[2,3,3,1,1,3]=>[{4,5},{1},{2,3,6}]=>[4,5,1,2,3,6]
[2,3,3,1,3,1]=>[{4,6},{1},{2,3,5}]=>[4,6,1,2,3,5]
[2,3,3,3,1,1]=>[{5,6},{1},{2,3,4}]=>[5,6,1,2,3,4]
[3,1,1,2,3,3]=>[{2,3},{4},{1,5,6}]=>[2,3,4,1,5,6]
[3,1,1,3,2,3]=>[{2,3},{5},{1,4,6}]=>[2,3,5,1,4,6]
[3,1,1,3,3,2]=>[{2,3},{6},{1,4,5}]=>[2,3,6,1,4,5]
[3,1,2,1,3,3]=>[{2,4},{3},{1,5,6}]=>[2,4,3,1,5,6]
[3,1,2,3,1,3]=>[{2,5},{3},{1,4,6}]=>[2,5,3,1,4,6]
[3,1,2,3,3,1]=>[{2,6},{3},{1,4,5}]=>[2,6,3,1,4,5]
[3,1,3,1,2,3]=>[{2,4},{5},{1,3,6}]=>[2,4,5,1,3,6]
[3,1,3,1,3,2]=>[{2,4},{6},{1,3,5}]=>[2,4,6,1,3,5]
[3,1,3,2,1,3]=>[{2,5},{4},{1,3,6}]=>[2,5,4,1,3,6]
[3,1,3,2,3,1]=>[{2,6},{4},{1,3,5}]=>[2,6,4,1,3,5]
[3,1,3,3,1,2]=>[{2,5},{6},{1,3,4}]=>[2,5,6,1,3,4]
[3,1,3,3,2,1]=>[{2,6},{5},{1,3,4}]=>[2,6,5,1,3,4]
[3,2,1,1,3,3]=>[{3,4},{2},{1,5,6}]=>[3,4,2,1,5,6]
[3,2,1,3,1,3]=>[{3,5},{2},{1,4,6}]=>[3,5,2,1,4,6]
[3,2,1,3,3,1]=>[{3,6},{2},{1,4,5}]=>[3,6,2,1,4,5]
[3,2,3,1,1,3]=>[{4,5},{2},{1,3,6}]=>[4,5,2,1,3,6]
[3,2,3,1,3,1]=>[{4,6},{2},{1,3,5}]=>[4,6,2,1,3,5]
[3,2,3,3,1,1]=>[{5,6},{2},{1,3,4}]=>[5,6,2,1,3,4]
[3,3,1,1,2,3]=>[{3,4},{5},{1,2,6}]=>[3,4,5,1,2,6]
[3,3,1,1,3,2]=>[{3,4},{6},{1,2,5}]=>[3,4,6,1,2,5]
[3,3,1,2,1,3]=>[{3,5},{4},{1,2,6}]=>[3,5,4,1,2,6]
[3,3,1,2,3,1]=>[{3,6},{4},{1,2,5}]=>[3,6,4,1,2,5]
[3,3,1,3,1,2]=>[{3,5},{6},{1,2,4}]=>[3,5,6,1,2,4]
[3,3,1,3,2,1]=>[{3,6},{5},{1,2,4}]=>[3,6,5,1,2,4]
[3,3,2,1,1,3]=>[{4,5},{3},{1,2,6}]=>[4,5,3,1,2,6]
[3,3,2,1,3,1]=>[{4,6},{3},{1,2,5}]=>[4,6,3,1,2,5]
[3,3,2,3,1,1]=>[{5,6},{3},{1,2,4}]=>[5,6,3,1,2,4]
[3,3,3,1,1,2]=>[{4,5},{6},{1,2,3}]=>[4,5,6,1,2,3]
[3,3,3,1,2,1]=>[{4,6},{5},{1,2,3}]=>[4,6,5,1,2,3]
[3,3,3,2,1,1]=>[{5,6},{4},{1,2,3}]=>[5,6,4,1,2,3]
[1,1,2,3,3,4]=>[{1,2},{3},{4,5},{6}]=>[1,2,3,4,5,6]
[1,1,2,3,4,3]=>[{1,2},{3},{4,6},{5}]=>[1,2,3,4,6,5]
[1,1,2,4,3,3]=>[{1,2},{3},{5,6},{4}]=>[1,2,3,5,6,4]
[1,1,3,2,3,4]=>[{1,2},{4},{3,5},{6}]=>[1,2,4,3,5,6]
[1,1,3,2,4,3]=>[{1,2},{4},{3,6},{5}]=>[1,2,4,3,6,5]
[1,1,3,3,2,4]=>[{1,2},{5},{3,4},{6}]=>[1,2,5,3,4,6]
[1,1,3,3,4,2]=>[{1,2},{6},{3,4},{5}]=>[1,2,6,3,4,5]
[1,1,3,4,2,3]=>[{1,2},{5},{3,6},{4}]=>[1,2,5,3,6,4]
[1,1,3,4,3,2]=>[{1,2},{6},{3,5},{4}]=>[1,2,6,3,5,4]
[1,1,4,2,3,3]=>[{1,2},{4},{5,6},{3}]=>[1,2,4,5,6,3]
[1,1,4,3,2,3]=>[{1,2},{5},{4,6},{3}]=>[1,2,5,4,6,3]
[1,1,4,3,3,2]=>[{1,2},{6},{4,5},{3}]=>[1,2,6,4,5,3]
[1,2,1,3,3,4]=>[{1,3},{2},{4,5},{6}]=>[1,3,2,4,5,6]
[1,2,1,3,4,3]=>[{1,3},{2},{4,6},{5}]=>[1,3,2,4,6,5]
[1,2,1,4,3,3]=>[{1,3},{2},{5,6},{4}]=>[1,3,2,5,6,4]
[1,2,3,1,3,4]=>[{1,4},{2},{3,5},{6}]=>[1,4,2,3,5,6]
[1,2,3,1,4,3]=>[{1,4},{2},{3,6},{5}]=>[1,4,2,3,6,5]
[1,2,3,3,1,4]=>[{1,5},{2},{3,4},{6}]=>[1,5,2,3,4,6]
[1,2,3,3,4,1]=>[{1,6},{2},{3,4},{5}]=>[1,6,2,3,4,5]
[1,2,3,4,1,3]=>[{1,5},{2},{3,6},{4}]=>[1,5,2,3,6,4]
[1,2,3,4,3,1]=>[{1,6},{2},{3,5},{4}]=>[1,6,2,3,5,4]
[1,2,4,1,3,3]=>[{1,4},{2},{5,6},{3}]=>[1,4,2,5,6,3]
[1,2,4,3,1,3]=>[{1,5},{2},{4,6},{3}]=>[1,5,2,4,6,3]
[1,2,4,3,3,1]=>[{1,6},{2},{4,5},{3}]=>[1,6,2,4,5,3]
[1,3,1,2,3,4]=>[{1,3},{4},{2,5},{6}]=>[1,3,4,2,5,6]
[1,3,1,2,4,3]=>[{1,3},{4},{2,6},{5}]=>[1,3,4,2,6,5]
[1,3,1,3,2,4]=>[{1,3},{5},{2,4},{6}]=>[1,3,5,2,4,6]
[1,3,1,3,4,2]=>[{1,3},{6},{2,4},{5}]=>[1,3,6,2,4,5]
[1,3,1,4,2,3]=>[{1,3},{5},{2,6},{4}]=>[1,3,5,2,6,4]
[1,3,1,4,3,2]=>[{1,3},{6},{2,5},{4}]=>[1,3,6,2,5,4]
[1,3,2,1,3,4]=>[{1,4},{3},{2,5},{6}]=>[1,4,3,2,5,6]
[1,3,2,1,4,3]=>[{1,4},{3},{2,6},{5}]=>[1,4,3,2,6,5]
[1,3,2,3,1,4]=>[{1,5},{3},{2,4},{6}]=>[1,5,3,2,4,6]
[1,3,2,3,4,1]=>[{1,6},{3},{2,4},{5}]=>[1,6,3,2,4,5]
[1,3,2,4,1,3]=>[{1,5},{3},{2,6},{4}]=>[1,5,3,2,6,4]
[1,3,2,4,3,1]=>[{1,6},{3},{2,5},{4}]=>[1,6,3,2,5,4]
[1,3,3,1,2,4]=>[{1,4},{5},{2,3},{6}]=>[1,4,5,2,3,6]
[1,3,3,1,4,2]=>[{1,4},{6},{2,3},{5}]=>[1,4,6,2,3,5]
[1,3,3,2,1,4]=>[{1,5},{4},{2,3},{6}]=>[1,5,4,2,3,6]
[1,3,3,2,4,1]=>[{1,6},{4},{2,3},{5}]=>[1,6,4,2,3,5]
[1,3,3,4,1,2]=>[{1,5},{6},{2,3},{4}]=>[1,5,6,2,3,4]
[1,3,3,4,2,1]=>[{1,6},{5},{2,3},{4}]=>[1,6,5,2,3,4]
[1,3,4,1,2,3]=>[{1,4},{5},{2,6},{3}]=>[1,4,5,2,6,3]
[1,3,4,1,3,2]=>[{1,4},{6},{2,5},{3}]=>[1,4,6,2,5,3]
[1,3,4,2,1,3]=>[{1,5},{4},{2,6},{3}]=>[1,5,4,2,6,3]
[1,3,4,2,3,1]=>[{1,6},{4},{2,5},{3}]=>[1,6,4,2,5,3]
[1,3,4,3,1,2]=>[{1,5},{6},{2,4},{3}]=>[1,5,6,2,4,3]
[1,3,4,3,2,1]=>[{1,6},{5},{2,4},{3}]=>[1,6,5,2,4,3]
[1,4,1,2,3,3]=>[{1,3},{4},{5,6},{2}]=>[1,3,4,5,6,2]
[1,4,1,3,2,3]=>[{1,3},{5},{4,6},{2}]=>[1,3,5,4,6,2]
[1,4,1,3,3,2]=>[{1,3},{6},{4,5},{2}]=>[1,3,6,4,5,2]
[1,4,2,1,3,3]=>[{1,4},{3},{5,6},{2}]=>[1,4,3,5,6,2]
[1,4,2,3,1,3]=>[{1,5},{3},{4,6},{2}]=>[1,5,3,4,6,2]
[1,4,2,3,3,1]=>[{1,6},{3},{4,5},{2}]=>[1,6,3,4,5,2]
[1,4,3,1,2,3]=>[{1,4},{5},{3,6},{2}]=>[1,4,5,3,6,2]
[1,4,3,1,3,2]=>[{1,4},{6},{3,5},{2}]=>[1,4,6,3,5,2]
[1,4,3,2,1,3]=>[{1,5},{4},{3,6},{2}]=>[1,5,4,3,6,2]
[1,4,3,2,3,1]=>[{1,6},{4},{3,5},{2}]=>[1,6,4,3,5,2]
[1,4,3,3,1,2]=>[{1,5},{6},{3,4},{2}]=>[1,5,6,3,4,2]
[1,4,3,3,2,1]=>[{1,6},{5},{3,4},{2}]=>[1,6,5,3,4,2]
[2,1,1,3,3,4]=>[{2,3},{1},{4,5},{6}]=>[2,3,1,4,5,6]
[2,1,1,3,4,3]=>[{2,3},{1},{4,6},{5}]=>[2,3,1,4,6,5]
[2,1,1,4,3,3]=>[{2,3},{1},{5,6},{4}]=>[2,3,1,5,6,4]
[2,1,3,1,3,4]=>[{2,4},{1},{3,5},{6}]=>[2,4,1,3,5,6]
[2,1,3,1,4,3]=>[{2,4},{1},{3,6},{5}]=>[2,4,1,3,6,5]
[2,1,3,3,1,4]=>[{2,5},{1},{3,4},{6}]=>[2,5,1,3,4,6]
[2,1,3,3,4,1]=>[{2,6},{1},{3,4},{5}]=>[2,6,1,3,4,5]
[2,1,3,4,1,3]=>[{2,5},{1},{3,6},{4}]=>[2,5,1,3,6,4]
[2,1,3,4,3,1]=>[{2,6},{1},{3,5},{4}]=>[2,6,1,3,5,4]
[2,1,4,1,3,3]=>[{2,4},{1},{5,6},{3}]=>[2,4,1,5,6,3]
[2,1,4,3,1,3]=>[{2,5},{1},{4,6},{3}]=>[2,5,1,4,6,3]
[2,1,4,3,3,1]=>[{2,6},{1},{4,5},{3}]=>[2,6,1,4,5,3]
[2,3,1,1,3,4]=>[{3,4},{1},{2,5},{6}]=>[3,4,1,2,5,6]
[2,3,1,1,4,3]=>[{3,4},{1},{2,6},{5}]=>[3,4,1,2,6,5]
[2,3,1,3,1,4]=>[{3,5},{1},{2,4},{6}]=>[3,5,1,2,4,6]
[2,3,1,3,4,1]=>[{3,6},{1},{2,4},{5}]=>[3,6,1,2,4,5]
[2,3,1,4,1,3]=>[{3,5},{1},{2,6},{4}]=>[3,5,1,2,6,4]
[2,3,1,4,3,1]=>[{3,6},{1},{2,5},{4}]=>[3,6,1,2,5,4]
[2,3,3,1,1,4]=>[{4,5},{1},{2,3},{6}]=>[4,5,1,2,3,6]
[2,3,3,1,4,1]=>[{4,6},{1},{2,3},{5}]=>[4,6,1,2,3,5]
[2,3,3,4,1,1]=>[{5,6},{1},{2,3},{4}]=>[5,6,1,2,3,4]
[2,3,4,1,1,3]=>[{4,5},{1},{2,6},{3}]=>[4,5,1,2,6,3]
[2,3,4,1,3,1]=>[{4,6},{1},{2,5},{3}]=>[4,6,1,2,5,3]
[2,3,4,3,1,1]=>[{5,6},{1},{2,4},{3}]=>[5,6,1,2,4,3]
[2,4,1,1,3,3]=>[{3,4},{1},{5,6},{2}]=>[3,4,1,5,6,2]
[2,4,1,3,1,3]=>[{3,5},{1},{4,6},{2}]=>[3,5,1,4,6,2]
[2,4,1,3,3,1]=>[{3,6},{1},{4,5},{2}]=>[3,6,1,4,5,2]
[2,4,3,1,1,3]=>[{4,5},{1},{3,6},{2}]=>[4,5,1,3,6,2]
[2,4,3,1,3,1]=>[{4,6},{1},{3,5},{2}]=>[4,6,1,3,5,2]
[2,4,3,3,1,1]=>[{5,6},{1},{3,4},{2}]=>[5,6,1,3,4,2]
[3,1,1,2,3,4]=>[{2,3},{4},{1,5},{6}]=>[2,3,4,1,5,6]
[3,1,1,2,4,3]=>[{2,3},{4},{1,6},{5}]=>[2,3,4,1,6,5]
[3,1,1,3,2,4]=>[{2,3},{5},{1,4},{6}]=>[2,3,5,1,4,6]
[3,1,1,3,4,2]=>[{2,3},{6},{1,4},{5}]=>[2,3,6,1,4,5]
[3,1,1,4,2,3]=>[{2,3},{5},{1,6},{4}]=>[2,3,5,1,6,4]
[3,1,1,4,3,2]=>[{2,3},{6},{1,5},{4}]=>[2,3,6,1,5,4]
[3,1,2,1,3,4]=>[{2,4},{3},{1,5},{6}]=>[2,4,3,1,5,6]
[3,1,2,1,4,3]=>[{2,4},{3},{1,6},{5}]=>[2,4,3,1,6,5]
[3,1,2,3,1,4]=>[{2,5},{3},{1,4},{6}]=>[2,5,3,1,4,6]
[3,1,2,3,4,1]=>[{2,6},{3},{1,4},{5}]=>[2,6,3,1,4,5]
[3,1,2,4,1,3]=>[{2,5},{3},{1,6},{4}]=>[2,5,3,1,6,4]
[3,1,2,4,3,1]=>[{2,6},{3},{1,5},{4}]=>[2,6,3,1,5,4]
[3,1,3,1,2,4]=>[{2,4},{5},{1,3},{6}]=>[2,4,5,1,3,6]
[3,1,3,1,4,2]=>[{2,4},{6},{1,3},{5}]=>[2,4,6,1,3,5]
[3,1,3,2,1,4]=>[{2,5},{4},{1,3},{6}]=>[2,5,4,1,3,6]
[3,1,3,2,4,1]=>[{2,6},{4},{1,3},{5}]=>[2,6,4,1,3,5]
[3,1,3,4,1,2]=>[{2,5},{6},{1,3},{4}]=>[2,5,6,1,3,4]
[3,1,3,4,2,1]=>[{2,6},{5},{1,3},{4}]=>[2,6,5,1,3,4]
[3,1,4,1,2,3]=>[{2,4},{5},{1,6},{3}]=>[2,4,5,1,6,3]
[3,1,4,1,3,2]=>[{2,4},{6},{1,5},{3}]=>[2,4,6,1,5,3]
[3,1,4,2,1,3]=>[{2,5},{4},{1,6},{3}]=>[2,5,4,1,6,3]
[3,1,4,2,3,1]=>[{2,6},{4},{1,5},{3}]=>[2,6,4,1,5,3]
[3,1,4,3,1,2]=>[{2,5},{6},{1,4},{3}]=>[2,5,6,1,4,3]
[3,1,4,3,2,1]=>[{2,6},{5},{1,4},{3}]=>[2,6,5,1,4,3]
[3,2,1,1,3,4]=>[{3,4},{2},{1,5},{6}]=>[3,4,2,1,5,6]
[3,2,1,1,4,3]=>[{3,4},{2},{1,6},{5}]=>[3,4,2,1,6,5]
[3,2,1,3,1,4]=>[{3,5},{2},{1,4},{6}]=>[3,5,2,1,4,6]
[3,2,1,3,4,1]=>[{3,6},{2},{1,4},{5}]=>[3,6,2,1,4,5]
[3,2,1,4,1,3]=>[{3,5},{2},{1,6},{4}]=>[3,5,2,1,6,4]
[3,2,1,4,3,1]=>[{3,6},{2},{1,5},{4}]=>[3,6,2,1,5,4]
[3,2,3,1,1,4]=>[{4,5},{2},{1,3},{6}]=>[4,5,2,1,3,6]
[3,2,3,1,4,1]=>[{4,6},{2},{1,3},{5}]=>[4,6,2,1,3,5]
[3,2,3,4,1,1]=>[{5,6},{2},{1,3},{4}]=>[5,6,2,1,3,4]
[3,2,4,1,1,3]=>[{4,5},{2},{1,6},{3}]=>[4,5,2,1,6,3]
[3,2,4,1,3,1]=>[{4,6},{2},{1,5},{3}]=>[4,6,2,1,5,3]
[3,2,4,3,1,1]=>[{5,6},{2},{1,4},{3}]=>[5,6,2,1,4,3]
[3,3,1,1,2,4]=>[{3,4},{5},{1,2},{6}]=>[3,4,5,1,2,6]
[3,3,1,1,4,2]=>[{3,4},{6},{1,2},{5}]=>[3,4,6,1,2,5]
[3,3,1,2,1,4]=>[{3,5},{4},{1,2},{6}]=>[3,5,4,1,2,6]
[3,3,1,2,4,1]=>[{3,6},{4},{1,2},{5}]=>[3,6,4,1,2,5]
[3,3,1,4,1,2]=>[{3,5},{6},{1,2},{4}]=>[3,5,6,1,2,4]
[3,3,1,4,2,1]=>[{3,6},{5},{1,2},{4}]=>[3,6,5,1,2,4]
[3,3,2,1,1,4]=>[{4,5},{3},{1,2},{6}]=>[4,5,3,1,2,6]
[3,3,2,1,4,1]=>[{4,6},{3},{1,2},{5}]=>[4,6,3,1,2,5]
[3,3,2,4,1,1]=>[{5,6},{3},{1,2},{4}]=>[5,6,3,1,2,4]
[3,3,4,1,1,2]=>[{4,5},{6},{1,2},{3}]=>[4,5,6,1,2,3]
[3,3,4,1,2,1]=>[{4,6},{5},{1,2},{3}]=>[4,6,5,1,2,3]
[3,3,4,2,1,1]=>[{5,6},{4},{1,2},{3}]=>[5,6,4,1,2,3]
[3,4,1,1,2,3]=>[{3,4},{5},{1,6},{2}]=>[3,4,5,1,6,2]
[3,4,1,1,3,2]=>[{3,4},{6},{1,5},{2}]=>[3,4,6,1,5,2]
[3,4,1,2,1,3]=>[{3,5},{4},{1,6},{2}]=>[3,5,4,1,6,2]
[3,4,1,2,3,1]=>[{3,6},{4},{1,5},{2}]=>[3,6,4,1,5,2]
[3,4,1,3,1,2]=>[{3,5},{6},{1,4},{2}]=>[3,5,6,1,4,2]
[3,4,1,3,2,1]=>[{3,6},{5},{1,4},{2}]=>[3,6,5,1,4,2]
[3,4,2,1,1,3]=>[{4,5},{3},{1,6},{2}]=>[4,5,3,1,6,2]
[3,4,2,1,3,1]=>[{4,6},{3},{1,5},{2}]=>[4,6,3,1,5,2]
[3,4,2,3,1,1]=>[{5,6},{3},{1,4},{2}]=>[5,6,3,1,4,2]
[3,4,3,1,1,2]=>[{4,5},{6},{1,3},{2}]=>[4,5,6,1,3,2]
[3,4,3,1,2,1]=>[{4,6},{5},{1,3},{2}]=>[4,6,5,1,3,2]
[3,4,3,2,1,1]=>[{5,6},{4},{1,3},{2}]=>[5,6,4,1,3,2]
[4,1,1,2,3,3]=>[{2,3},{4},{5,6},{1}]=>[2,3,4,5,6,1]
[4,1,1,3,2,3]=>[{2,3},{5},{4,6},{1}]=>[2,3,5,4,6,1]
[4,1,1,3,3,2]=>[{2,3},{6},{4,5},{1}]=>[2,3,6,4,5,1]
[4,1,2,1,3,3]=>[{2,4},{3},{5,6},{1}]=>[2,4,3,5,6,1]
[4,1,2,3,1,3]=>[{2,5},{3},{4,6},{1}]=>[2,5,3,4,6,1]
[4,1,2,3,3,1]=>[{2,6},{3},{4,5},{1}]=>[2,6,3,4,5,1]
[4,1,3,1,2,3]=>[{2,4},{5},{3,6},{1}]=>[2,4,5,3,6,1]
[4,1,3,1,3,2]=>[{2,4},{6},{3,5},{1}]=>[2,4,6,3,5,1]
[4,1,3,2,1,3]=>[{2,5},{4},{3,6},{1}]=>[2,5,4,3,6,1]
[4,1,3,2,3,1]=>[{2,6},{4},{3,5},{1}]=>[2,6,4,3,5,1]
[4,1,3,3,1,2]=>[{2,5},{6},{3,4},{1}]=>[2,5,6,3,4,1]
[4,1,3,3,2,1]=>[{2,6},{5},{3,4},{1}]=>[2,6,5,3,4,1]
[4,2,1,1,3,3]=>[{3,4},{2},{5,6},{1}]=>[3,4,2,5,6,1]
[4,2,1,3,1,3]=>[{3,5},{2},{4,6},{1}]=>[3,5,2,4,6,1]
[4,2,1,3,3,1]=>[{3,6},{2},{4,5},{1}]=>[3,6,2,4,5,1]
[4,2,3,1,1,3]=>[{4,5},{2},{3,6},{1}]=>[4,5,2,3,6,1]
[4,2,3,1,3,1]=>[{4,6},{2},{3,5},{1}]=>[4,6,2,3,5,1]
[4,2,3,3,1,1]=>[{5,6},{2},{3,4},{1}]=>[5,6,2,3,4,1]
[4,3,1,1,2,3]=>[{3,4},{5},{2,6},{1}]=>[3,4,5,2,6,1]
[4,3,1,1,3,2]=>[{3,4},{6},{2,5},{1}]=>[3,4,6,2,5,1]
[4,3,1,2,1,3]=>[{3,5},{4},{2,6},{1}]=>[3,5,4,2,6,1]
[4,3,1,2,3,1]=>[{3,6},{4},{2,5},{1}]=>[3,6,4,2,5,1]
[4,3,1,3,1,2]=>[{3,5},{6},{2,4},{1}]=>[3,5,6,2,4,1]
[4,3,1,3,2,1]=>[{3,6},{5},{2,4},{1}]=>[3,6,5,2,4,1]
[4,3,2,1,1,3]=>[{4,5},{3},{2,6},{1}]=>[4,5,3,2,6,1]
[4,3,2,1,3,1]=>[{4,6},{3},{2,5},{1}]=>[4,6,3,2,5,1]
[4,3,2,3,1,1]=>[{5,6},{3},{2,4},{1}]=>[5,6,3,2,4,1]
[4,3,3,1,1,2]=>[{4,5},{6},{2,3},{1}]=>[4,5,6,2,3,1]
[4,3,3,1,2,1]=>[{4,6},{5},{2,3},{1}]=>[4,6,5,2,3,1]
[4,3,3,2,1,1]=>[{5,6},{4},{2,3},{1}]=>[5,6,4,2,3,1]
[1,1,2,3,3,5]=>[{1,2},{3},{4,5},{6}]=>[1,2,3,4,5,6]
[1,1,2,3,5,3]=>[{1,2},{3},{4,6},{5}]=>[1,2,3,4,6,5]
[1,1,2,5,3,3]=>[{1,2},{3},{5,6},{4}]=>[1,2,3,5,6,4]
[1,1,3,2,3,5]=>[{1,2},{4},{3,5},{6}]=>[1,2,4,3,5,6]
[1,1,3,2,5,3]=>[{1,2},{4},{3,6},{5}]=>[1,2,4,3,6,5]
[1,1,3,3,2,5]=>[{1,2},{5},{3,4},{6}]=>[1,2,5,3,4,6]
[1,1,3,3,5,2]=>[{1,2},{6},{3,4},{5}]=>[1,2,6,3,4,5]
[1,1,3,5,2,3]=>[{1,2},{5},{3,6},{4}]=>[1,2,5,3,6,4]
[1,1,3,5,3,2]=>[{1,2},{6},{3,5},{4}]=>[1,2,6,3,5,4]
[1,1,5,2,3,3]=>[{1,2},{4},{5,6},{3}]=>[1,2,4,5,6,3]
[1,1,5,3,2,3]=>[{1,2},{5},{4,6},{3}]=>[1,2,5,4,6,3]
[1,1,5,3,3,2]=>[{1,2},{6},{4,5},{3}]=>[1,2,6,4,5,3]
[1,2,1,3,3,5]=>[{1,3},{2},{4,5},{6}]=>[1,3,2,4,5,6]
[1,2,1,3,5,3]=>[{1,3},{2},{4,6},{5}]=>[1,3,2,4,6,5]
[1,2,1,5,3,3]=>[{1,3},{2},{5,6},{4}]=>[1,3,2,5,6,4]
[1,2,3,1,3,5]=>[{1,4},{2},{3,5},{6}]=>[1,4,2,3,5,6]
[1,2,3,1,5,3]=>[{1,4},{2},{3,6},{5}]=>[1,4,2,3,6,5]
[1,2,3,3,1,5]=>[{1,5},{2},{3,4},{6}]=>[1,5,2,3,4,6]
[1,2,3,3,5,1]=>[{1,6},{2},{3,4},{5}]=>[1,6,2,3,4,5]
[1,2,3,5,1,3]=>[{1,5},{2},{3,6},{4}]=>[1,5,2,3,6,4]
[1,2,3,5,3,1]=>[{1,6},{2},{3,5},{4}]=>[1,6,2,3,5,4]
[1,2,5,1,3,3]=>[{1,4},{2},{5,6},{3}]=>[1,4,2,5,6,3]
[1,2,5,3,1,3]=>[{1,5},{2},{4,6},{3}]=>[1,5,2,4,6,3]
[1,2,5,3,3,1]=>[{1,6},{2},{4,5},{3}]=>[1,6,2,4,5,3]
[1,3,1,2,3,5]=>[{1,3},{4},{2,5},{6}]=>[1,3,4,2,5,6]
[1,3,1,2,5,3]=>[{1,3},{4},{2,6},{5}]=>[1,3,4,2,6,5]
[1,3,1,3,2,5]=>[{1,3},{5},{2,4},{6}]=>[1,3,5,2,4,6]
[1,3,1,3,5,2]=>[{1,3},{6},{2,4},{5}]=>[1,3,6,2,4,5]
[1,3,1,5,2,3]=>[{1,3},{5},{2,6},{4}]=>[1,3,5,2,6,4]
[1,3,1,5,3,2]=>[{1,3},{6},{2,5},{4}]=>[1,3,6,2,5,4]
[1,3,2,1,3,5]=>[{1,4},{3},{2,5},{6}]=>[1,4,3,2,5,6]
[1,3,2,1,5,3]=>[{1,4},{3},{2,6},{5}]=>[1,4,3,2,6,5]
[1,3,2,3,1,5]=>[{1,5},{3},{2,4},{6}]=>[1,5,3,2,4,6]
[1,3,2,3,5,1]=>[{1,6},{3},{2,4},{5}]=>[1,6,3,2,4,5]
[1,3,2,5,1,3]=>[{1,5},{3},{2,6},{4}]=>[1,5,3,2,6,4]
[1,3,2,5,3,1]=>[{1,6},{3},{2,5},{4}]=>[1,6,3,2,5,4]
[1,3,3,1,2,5]=>[{1,4},{5},{2,3},{6}]=>[1,4,5,2,3,6]
[1,3,3,1,5,2]=>[{1,4},{6},{2,3},{5}]=>[1,4,6,2,3,5]
[1,3,3,2,1,5]=>[{1,5},{4},{2,3},{6}]=>[1,5,4,2,3,6]
[1,3,3,2,5,1]=>[{1,6},{4},{2,3},{5}]=>[1,6,4,2,3,5]
[1,3,3,5,1,2]=>[{1,5},{6},{2,3},{4}]=>[1,5,6,2,3,4]
[1,3,3,5,2,1]=>[{1,6},{5},{2,3},{4}]=>[1,6,5,2,3,4]
[1,3,5,1,2,3]=>[{1,4},{5},{2,6},{3}]=>[1,4,5,2,6,3]
[1,3,5,1,3,2]=>[{1,4},{6},{2,5},{3}]=>[1,4,6,2,5,3]
[1,3,5,2,1,3]=>[{1,5},{4},{2,6},{3}]=>[1,5,4,2,6,3]
[1,3,5,2,3,1]=>[{1,6},{4},{2,5},{3}]=>[1,6,4,2,5,3]
[1,3,5,3,1,2]=>[{1,5},{6},{2,4},{3}]=>[1,5,6,2,4,3]
[1,3,5,3,2,1]=>[{1,6},{5},{2,4},{3}]=>[1,6,5,2,4,3]
[1,5,1,2,3,3]=>[{1,3},{4},{5,6},{2}]=>[1,3,4,5,6,2]
[1,5,1,3,2,3]=>[{1,3},{5},{4,6},{2}]=>[1,3,5,4,6,2]
[1,5,1,3,3,2]=>[{1,3},{6},{4,5},{2}]=>[1,3,6,4,5,2]
[1,5,2,1,3,3]=>[{1,4},{3},{5,6},{2}]=>[1,4,3,5,6,2]
[1,5,2,3,1,3]=>[{1,5},{3},{4,6},{2}]=>[1,5,3,4,6,2]
[1,5,2,3,3,1]=>[{1,6},{3},{4,5},{2}]=>[1,6,3,4,5,2]
[1,5,3,1,2,3]=>[{1,4},{5},{3,6},{2}]=>[1,4,5,3,6,2]
[1,5,3,1,3,2]=>[{1,4},{6},{3,5},{2}]=>[1,4,6,3,5,2]
[1,5,3,2,1,3]=>[{1,5},{4},{3,6},{2}]=>[1,5,4,3,6,2]
[1,5,3,2,3,1]=>[{1,6},{4},{3,5},{2}]=>[1,6,4,3,5,2]
[1,5,3,3,1,2]=>[{1,5},{6},{3,4},{2}]=>[1,5,6,3,4,2]
[1,5,3,3,2,1]=>[{1,6},{5},{3,4},{2}]=>[1,6,5,3,4,2]
[2,1,1,3,3,5]=>[{2,3},{1},{4,5},{6}]=>[2,3,1,4,5,6]
[2,1,1,3,5,3]=>[{2,3},{1},{4,6},{5}]=>[2,3,1,4,6,5]
[2,1,1,5,3,3]=>[{2,3},{1},{5,6},{4}]=>[2,3,1,5,6,4]
[2,1,3,1,3,5]=>[{2,4},{1},{3,5},{6}]=>[2,4,1,3,5,6]
[2,1,3,1,5,3]=>[{2,4},{1},{3,6},{5}]=>[2,4,1,3,6,5]
[2,1,3,3,1,5]=>[{2,5},{1},{3,4},{6}]=>[2,5,1,3,4,6]
[2,1,3,3,5,1]=>[{2,6},{1},{3,4},{5}]=>[2,6,1,3,4,5]
[2,1,3,5,1,3]=>[{2,5},{1},{3,6},{4}]=>[2,5,1,3,6,4]
[2,1,3,5,3,1]=>[{2,6},{1},{3,5},{4}]=>[2,6,1,3,5,4]
[2,1,5,1,3,3]=>[{2,4},{1},{5,6},{3}]=>[2,4,1,5,6,3]
[2,1,5,3,1,3]=>[{2,5},{1},{4,6},{3}]=>[2,5,1,4,6,3]
[2,1,5,3,3,1]=>[{2,6},{1},{4,5},{3}]=>[2,6,1,4,5,3]
[2,3,1,1,3,5]=>[{3,4},{1},{2,5},{6}]=>[3,4,1,2,5,6]
[2,3,1,1,5,3]=>[{3,4},{1},{2,6},{5}]=>[3,4,1,2,6,5]
[2,3,1,3,1,5]=>[{3,5},{1},{2,4},{6}]=>[3,5,1,2,4,6]
[2,3,1,3,5,1]=>[{3,6},{1},{2,4},{5}]=>[3,6,1,2,4,5]
[2,3,1,5,1,3]=>[{3,5},{1},{2,6},{4}]=>[3,5,1,2,6,4]
[2,3,1,5,3,1]=>[{3,6},{1},{2,5},{4}]=>[3,6,1,2,5,4]
[2,3,3,1,1,5]=>[{4,5},{1},{2,3},{6}]=>[4,5,1,2,3,6]
[2,3,3,1,5,1]=>[{4,6},{1},{2,3},{5}]=>[4,6,1,2,3,5]
[2,3,3,5,1,1]=>[{5,6},{1},{2,3},{4}]=>[5,6,1,2,3,4]
[2,3,5,1,1,3]=>[{4,5},{1},{2,6},{3}]=>[4,5,1,2,6,3]
[2,3,5,1,3,1]=>[{4,6},{1},{2,5},{3}]=>[4,6,1,2,5,3]
[2,3,5,3,1,1]=>[{5,6},{1},{2,4},{3}]=>[5,6,1,2,4,3]
[2,5,1,1,3,3]=>[{3,4},{1},{5,6},{2}]=>[3,4,1,5,6,2]
[2,5,1,3,1,3]=>[{3,5},{1},{4,6},{2}]=>[3,5,1,4,6,2]
[2,5,1,3,3,1]=>[{3,6},{1},{4,5},{2}]=>[3,6,1,4,5,2]
[2,5,3,1,1,3]=>[{4,5},{1},{3,6},{2}]=>[4,5,1,3,6,2]
[2,5,3,1,3,1]=>[{4,6},{1},{3,5},{2}]=>[4,6,1,3,5,2]
[2,5,3,3,1,1]=>[{5,6},{1},{3,4},{2}]=>[5,6,1,3,4,2]
[3,1,1,2,3,5]=>[{2,3},{4},{1,5},{6}]=>[2,3,4,1,5,6]
[3,1,1,2,5,3]=>[{2,3},{4},{1,6},{5}]=>[2,3,4,1,6,5]
[3,1,1,3,2,5]=>[{2,3},{5},{1,4},{6}]=>[2,3,5,1,4,6]
[3,1,1,3,5,2]=>[{2,3},{6},{1,4},{5}]=>[2,3,6,1,4,5]
[3,1,1,5,2,3]=>[{2,3},{5},{1,6},{4}]=>[2,3,5,1,6,4]
[3,1,1,5,3,2]=>[{2,3},{6},{1,5},{4}]=>[2,3,6,1,5,4]
[3,1,2,1,3,5]=>[{2,4},{3},{1,5},{6}]=>[2,4,3,1,5,6]
[3,1,2,1,5,3]=>[{2,4},{3},{1,6},{5}]=>[2,4,3,1,6,5]
[3,1,2,3,1,5]=>[{2,5},{3},{1,4},{6}]=>[2,5,3,1,4,6]
[3,1,2,3,5,1]=>[{2,6},{3},{1,4},{5}]=>[2,6,3,1,4,5]
[3,1,2,5,1,3]=>[{2,5},{3},{1,6},{4}]=>[2,5,3,1,6,4]
[3,1,2,5,3,1]=>[{2,6},{3},{1,5},{4}]=>[2,6,3,1,5,4]
[3,1,3,1,2,5]=>[{2,4},{5},{1,3},{6}]=>[2,4,5,1,3,6]
[3,1,3,1,5,2]=>[{2,4},{6},{1,3},{5}]=>[2,4,6,1,3,5]
[3,1,3,2,1,5]=>[{2,5},{4},{1,3},{6}]=>[2,5,4,1,3,6]
[3,1,3,2,5,1]=>[{2,6},{4},{1,3},{5}]=>[2,6,4,1,3,5]
[3,1,3,5,1,2]=>[{2,5},{6},{1,3},{4}]=>[2,5,6,1,3,4]
[3,1,3,5,2,1]=>[{2,6},{5},{1,3},{4}]=>[2,6,5,1,3,4]
[3,1,5,1,2,3]=>[{2,4},{5},{1,6},{3}]=>[2,4,5,1,6,3]
[3,1,5,1,3,2]=>[{2,4},{6},{1,5},{3}]=>[2,4,6,1,5,3]
[3,1,5,2,1,3]=>[{2,5},{4},{1,6},{3}]=>[2,5,4,1,6,3]
[3,1,5,2,3,1]=>[{2,6},{4},{1,5},{3}]=>[2,6,4,1,5,3]
[3,1,5,3,1,2]=>[{2,5},{6},{1,4},{3}]=>[2,5,6,1,4,3]
[3,1,5,3,2,1]=>[{2,6},{5},{1,4},{3}]=>[2,6,5,1,4,3]
[3,2,1,1,3,5]=>[{3,4},{2},{1,5},{6}]=>[3,4,2,1,5,6]
[3,2,1,1,5,3]=>[{3,4},{2},{1,6},{5}]=>[3,4,2,1,6,5]
[3,2,1,3,1,5]=>[{3,5},{2},{1,4},{6}]=>[3,5,2,1,4,6]
[3,2,1,3,5,1]=>[{3,6},{2},{1,4},{5}]=>[3,6,2,1,4,5]
[3,2,1,5,1,3]=>[{3,5},{2},{1,6},{4}]=>[3,5,2,1,6,4]
[3,2,1,5,3,1]=>[{3,6},{2},{1,5},{4}]=>[3,6,2,1,5,4]
[3,2,3,1,1,5]=>[{4,5},{2},{1,3},{6}]=>[4,5,2,1,3,6]
[3,2,3,1,5,1]=>[{4,6},{2},{1,3},{5}]=>[4,6,2,1,3,5]
[3,2,3,5,1,1]=>[{5,6},{2},{1,3},{4}]=>[5,6,2,1,3,4]
[3,2,5,1,1,3]=>[{4,5},{2},{1,6},{3}]=>[4,5,2,1,6,3]
[3,2,5,1,3,1]=>[{4,6},{2},{1,5},{3}]=>[4,6,2,1,5,3]
[3,2,5,3,1,1]=>[{5,6},{2},{1,4},{3}]=>[5,6,2,1,4,3]
[3,3,1,1,2,5]=>[{3,4},{5},{1,2},{6}]=>[3,4,5,1,2,6]
[3,3,1,1,5,2]=>[{3,4},{6},{1,2},{5}]=>[3,4,6,1,2,5]
[3,3,1,2,1,5]=>[{3,5},{4},{1,2},{6}]=>[3,5,4,1,2,6]
[3,3,1,2,5,1]=>[{3,6},{4},{1,2},{5}]=>[3,6,4,1,2,5]
[3,3,1,5,1,2]=>[{3,5},{6},{1,2},{4}]=>[3,5,6,1,2,4]
[3,3,1,5,2,1]=>[{3,6},{5},{1,2},{4}]=>[3,6,5,1,2,4]
[3,3,2,1,1,5]=>[{4,5},{3},{1,2},{6}]=>[4,5,3,1,2,6]
[3,3,2,1,5,1]=>[{4,6},{3},{1,2},{5}]=>[4,6,3,1,2,5]
[3,3,2,5,1,1]=>[{5,6},{3},{1,2},{4}]=>[5,6,3,1,2,4]
[3,3,5,1,1,2]=>[{4,5},{6},{1,2},{3}]=>[4,5,6,1,2,3]
[3,3,5,1,2,1]=>[{4,6},{5},{1,2},{3}]=>[4,6,5,1,2,3]
[3,3,5,2,1,1]=>[{5,6},{4},{1,2},{3}]=>[5,6,4,1,2,3]
[3,5,1,1,2,3]=>[{3,4},{5},{1,6},{2}]=>[3,4,5,1,6,2]
[3,5,1,1,3,2]=>[{3,4},{6},{1,5},{2}]=>[3,4,6,1,5,2]
[3,5,1,2,1,3]=>[{3,5},{4},{1,6},{2}]=>[3,5,4,1,6,2]
[3,5,1,2,3,1]=>[{3,6},{4},{1,5},{2}]=>[3,6,4,1,5,2]
[3,5,1,3,1,2]=>[{3,5},{6},{1,4},{2}]=>[3,5,6,1,4,2]
[3,5,1,3,2,1]=>[{3,6},{5},{1,4},{2}]=>[3,6,5,1,4,2]
[3,5,2,1,1,3]=>[{4,5},{3},{1,6},{2}]=>[4,5,3,1,6,2]
[3,5,2,1,3,1]=>[{4,6},{3},{1,5},{2}]=>[4,6,3,1,5,2]
[3,5,2,3,1,1]=>[{5,6},{3},{1,4},{2}]=>[5,6,3,1,4,2]
[3,5,3,1,1,2]=>[{4,5},{6},{1,3},{2}]=>[4,5,6,1,3,2]
[3,5,3,1,2,1]=>[{4,6},{5},{1,3},{2}]=>[4,6,5,1,3,2]
[3,5,3,2,1,1]=>[{5,6},{4},{1,3},{2}]=>[5,6,4,1,3,2]
[5,1,1,2,3,3]=>[{2,3},{4},{5,6},{1}]=>[2,3,4,5,6,1]
[5,1,1,3,2,3]=>[{2,3},{5},{4,6},{1}]=>[2,3,5,4,6,1]
[5,1,1,3,3,2]=>[{2,3},{6},{4,5},{1}]=>[2,3,6,4,5,1]
[5,1,2,1,3,3]=>[{2,4},{3},{5,6},{1}]=>[2,4,3,5,6,1]
[5,1,2,3,1,3]=>[{2,5},{3},{4,6},{1}]=>[2,5,3,4,6,1]
[5,1,2,3,3,1]=>[{2,6},{3},{4,5},{1}]=>[2,6,3,4,5,1]
[5,1,3,1,2,3]=>[{2,4},{5},{3,6},{1}]=>[2,4,5,3,6,1]
[5,1,3,1,3,2]=>[{2,4},{6},{3,5},{1}]=>[2,4,6,3,5,1]
[5,1,3,2,1,3]=>[{2,5},{4},{3,6},{1}]=>[2,5,4,3,6,1]
[5,1,3,2,3,1]=>[{2,6},{4},{3,5},{1}]=>[2,6,4,3,5,1]
[5,1,3,3,1,2]=>[{2,5},{6},{3,4},{1}]=>[2,5,6,3,4,1]
[5,1,3,3,2,1]=>[{2,6},{5},{3,4},{1}]=>[2,6,5,3,4,1]
[5,2,1,1,3,3]=>[{3,4},{2},{5,6},{1}]=>[3,4,2,5,6,1]
[5,2,1,3,1,3]=>[{3,5},{2},{4,6},{1}]=>[3,5,2,4,6,1]
[5,2,1,3,3,1]=>[{3,6},{2},{4,5},{1}]=>[3,6,2,4,5,1]
[5,2,3,1,1,3]=>[{4,5},{2},{3,6},{1}]=>[4,5,2,3,6,1]
[5,2,3,1,3,1]=>[{4,6},{2},{3,5},{1}]=>[4,6,2,3,5,1]
[5,2,3,3,1,1]=>[{5,6},{2},{3,4},{1}]=>[5,6,2,3,4,1]
[5,3,1,1,2,3]=>[{3,4},{5},{2,6},{1}]=>[3,4,5,2,6,1]
[5,3,1,1,3,2]=>[{3,4},{6},{2,5},{1}]=>[3,4,6,2,5,1]
[5,3,1,2,1,3]=>[{3,5},{4},{2,6},{1}]=>[3,5,4,2,6,1]
[5,3,1,2,3,1]=>[{3,6},{4},{2,5},{1}]=>[3,6,4,2,5,1]
[5,3,1,3,1,2]=>[{3,5},{6},{2,4},{1}]=>[3,5,6,2,4,1]
[5,3,1,3,2,1]=>[{3,6},{5},{2,4},{1}]=>[3,6,5,2,4,1]
[5,3,2,1,1,3]=>[{4,5},{3},{2,6},{1}]=>[4,5,3,2,6,1]
[5,3,2,1,3,1]=>[{4,6},{3},{2,5},{1}]=>[4,6,3,2,5,1]
[5,3,2,3,1,1]=>[{5,6},{3},{2,4},{1}]=>[5,6,3,2,4,1]
[5,3,3,1,1,2]=>[{4,5},{6},{2,3},{1}]=>[4,5,6,2,3,1]
[5,3,3,1,2,1]=>[{4,6},{5},{2,3},{1}]=>[4,6,5,2,3,1]
[5,3,3,2,1,1]=>[{5,6},{4},{2,3},{1}]=>[5,6,4,2,3,1]
[1,1,2,3,3,6]=>[{1,2},{3},{4,5},{6}]=>[1,2,3,4,5,6]
[1,1,2,3,6,3]=>[{1,2},{3},{4,6},{5}]=>[1,2,3,4,6,5]
[1,1,2,6,3,3]=>[{1,2},{3},{5,6},{4}]=>[1,2,3,5,6,4]
[1,1,3,2,3,6]=>[{1,2},{4},{3,5},{6}]=>[1,2,4,3,5,6]
[1,1,3,2,6,3]=>[{1,2},{4},{3,6},{5}]=>[1,2,4,3,6,5]
[1,1,3,3,2,6]=>[{1,2},{5},{3,4},{6}]=>[1,2,5,3,4,6]
[1,1,3,3,6,2]=>[{1,2},{6},{3,4},{5}]=>[1,2,6,3,4,5]
[1,1,3,6,2,3]=>[{1,2},{5},{3,6},{4}]=>[1,2,5,3,6,4]
[1,1,3,6,3,2]=>[{1,2},{6},{3,5},{4}]=>[1,2,6,3,5,4]
[1,1,6,2,3,3]=>[{1,2},{4},{5,6},{3}]=>[1,2,4,5,6,3]
[1,1,6,3,2,3]=>[{1,2},{5},{4,6},{3}]=>[1,2,5,4,6,3]
[1,1,6,3,3,2]=>[{1,2},{6},{4,5},{3}]=>[1,2,6,4,5,3]
[1,2,1,3,3,6]=>[{1,3},{2},{4,5},{6}]=>[1,3,2,4,5,6]
[1,2,1,3,6,3]=>[{1,3},{2},{4,6},{5}]=>[1,3,2,4,6,5]
[1,2,1,6,3,3]=>[{1,3},{2},{5,6},{4}]=>[1,3,2,5,6,4]
[1,2,3,1,3,6]=>[{1,4},{2},{3,5},{6}]=>[1,4,2,3,5,6]
[1,2,3,1,6,3]=>[{1,4},{2},{3,6},{5}]=>[1,4,2,3,6,5]
[1,2,3,3,1,6]=>[{1,5},{2},{3,4},{6}]=>[1,5,2,3,4,6]
[1,2,3,3,6,1]=>[{1,6},{2},{3,4},{5}]=>[1,6,2,3,4,5]
[1,2,3,6,1,3]=>[{1,5},{2},{3,6},{4}]=>[1,5,2,3,6,4]
[1,2,3,6,3,1]=>[{1,6},{2},{3,5},{4}]=>[1,6,2,3,5,4]
[1,2,6,1,3,3]=>[{1,4},{2},{5,6},{3}]=>[1,4,2,5,6,3]
[1,2,6,3,1,3]=>[{1,5},{2},{4,6},{3}]=>[1,5,2,4,6,3]
[1,2,6,3,3,1]=>[{1,6},{2},{4,5},{3}]=>[1,6,2,4,5,3]
[1,3,1,2,3,6]=>[{1,3},{4},{2,5},{6}]=>[1,3,4,2,5,6]
[1,3,1,2,6,3]=>[{1,3},{4},{2,6},{5}]=>[1,3,4,2,6,5]
[1,3,1,3,2,6]=>[{1,3},{5},{2,4},{6}]=>[1,3,5,2,4,6]
[1,3,1,3,6,2]=>[{1,3},{6},{2,4},{5}]=>[1,3,6,2,4,5]
[1,3,1,6,2,3]=>[{1,3},{5},{2,6},{4}]=>[1,3,5,2,6,4]
[1,3,1,6,3,2]=>[{1,3},{6},{2,5},{4}]=>[1,3,6,2,5,4]
[1,3,2,1,3,6]=>[{1,4},{3},{2,5},{6}]=>[1,4,3,2,5,6]
[1,3,2,1,6,3]=>[{1,4},{3},{2,6},{5}]=>[1,4,3,2,6,5]
[1,3,2,3,1,6]=>[{1,5},{3},{2,4},{6}]=>[1,5,3,2,4,6]
[1,3,2,3,6,1]=>[{1,6},{3},{2,4},{5}]=>[1,6,3,2,4,5]
[1,3,2,6,1,3]=>[{1,5},{3},{2,6},{4}]=>[1,5,3,2,6,4]
[1,3,2,6,3,1]=>[{1,6},{3},{2,5},{4}]=>[1,6,3,2,5,4]
[1,3,3,1,2,6]=>[{1,4},{5},{2,3},{6}]=>[1,4,5,2,3,6]
[1,3,3,1,6,2]=>[{1,4},{6},{2,3},{5}]=>[1,4,6,2,3,5]
[1,3,3,2,1,6]=>[{1,5},{4},{2,3},{6}]=>[1,5,4,2,3,6]
[1,3,3,2,6,1]=>[{1,6},{4},{2,3},{5}]=>[1,6,4,2,3,5]
[1,3,3,6,1,2]=>[{1,5},{6},{2,3},{4}]=>[1,5,6,2,3,4]
[1,3,3,6,2,1]=>[{1,6},{5},{2,3},{4}]=>[1,6,5,2,3,4]
[1,3,6,1,2,3]=>[{1,4},{5},{2,6},{3}]=>[1,4,5,2,6,3]
[1,3,6,1,3,2]=>[{1,4},{6},{2,5},{3}]=>[1,4,6,2,5,3]
[1,3,6,2,1,3]=>[{1,5},{4},{2,6},{3}]=>[1,5,4,2,6,3]
[1,3,6,2,3,1]=>[{1,6},{4},{2,5},{3}]=>[1,6,4,2,5,3]
[1,3,6,3,1,2]=>[{1,5},{6},{2,4},{3}]=>[1,5,6,2,4,3]
[1,3,6,3,2,1]=>[{1,6},{5},{2,4},{3}]=>[1,6,5,2,4,3]
[1,6,1,2,3,3]=>[{1,3},{4},{5,6},{2}]=>[1,3,4,5,6,2]
[1,6,1,3,2,3]=>[{1,3},{5},{4,6},{2}]=>[1,3,5,4,6,2]
[1,6,1,3,3,2]=>[{1,3},{6},{4,5},{2}]=>[1,3,6,4,5,2]
[1,6,2,1,3,3]=>[{1,4},{3},{5,6},{2}]=>[1,4,3,5,6,2]
[1,6,2,3,1,3]=>[{1,5},{3},{4,6},{2}]=>[1,5,3,4,6,2]
[1,6,2,3,3,1]=>[{1,6},{3},{4,5},{2}]=>[1,6,3,4,5,2]
[1,6,3,1,2,3]=>[{1,4},{5},{3,6},{2}]=>[1,4,5,3,6,2]
[1,6,3,1,3,2]=>[{1,4},{6},{3,5},{2}]=>[1,4,6,3,5,2]
[1,6,3,2,1,3]=>[{1,5},{4},{3,6},{2}]=>[1,5,4,3,6,2]
[1,6,3,2,3,1]=>[{1,6},{4},{3,5},{2}]=>[1,6,4,3,5,2]
[1,6,3,3,1,2]=>[{1,5},{6},{3,4},{2}]=>[1,5,6,3,4,2]
[1,6,3,3,2,1]=>[{1,6},{5},{3,4},{2}]=>[1,6,5,3,4,2]
[2,1,1,3,3,6]=>[{2,3},{1},{4,5},{6}]=>[2,3,1,4,5,6]
[2,1,1,3,6,3]=>[{2,3},{1},{4,6},{5}]=>[2,3,1,4,6,5]
[2,1,1,6,3,3]=>[{2,3},{1},{5,6},{4}]=>[2,3,1,5,6,4]
[2,1,3,1,3,6]=>[{2,4},{1},{3,5},{6}]=>[2,4,1,3,5,6]
[2,1,3,1,6,3]=>[{2,4},{1},{3,6},{5}]=>[2,4,1,3,6,5]
[2,1,3,3,1,6]=>[{2,5},{1},{3,4},{6}]=>[2,5,1,3,4,6]
[2,1,3,3,6,1]=>[{2,6},{1},{3,4},{5}]=>[2,6,1,3,4,5]
[2,1,3,6,1,3]=>[{2,5},{1},{3,6},{4}]=>[2,5,1,3,6,4]
[2,1,3,6,3,1]=>[{2,6},{1},{3,5},{4}]=>[2,6,1,3,5,4]
[2,1,6,1,3,3]=>[{2,4},{1},{5,6},{3}]=>[2,4,1,5,6,3]
[2,1,6,3,1,3]=>[{2,5},{1},{4,6},{3}]=>[2,5,1,4,6,3]
[2,1,6,3,3,1]=>[{2,6},{1},{4,5},{3}]=>[2,6,1,4,5,3]
[2,3,1,1,3,6]=>[{3,4},{1},{2,5},{6}]=>[3,4,1,2,5,6]
[2,3,1,1,6,3]=>[{3,4},{1},{2,6},{5}]=>[3,4,1,2,6,5]
[2,3,1,3,1,6]=>[{3,5},{1},{2,4},{6}]=>[3,5,1,2,4,6]
[2,3,1,3,6,1]=>[{3,6},{1},{2,4},{5}]=>[3,6,1,2,4,5]
[2,3,1,6,1,3]=>[{3,5},{1},{2,6},{4}]=>[3,5,1,2,6,4]
[2,3,1,6,3,1]=>[{3,6},{1},{2,5},{4}]=>[3,6,1,2,5,4]
[2,3,3,1,1,6]=>[{4,5},{1},{2,3},{6}]=>[4,5,1,2,3,6]
[2,3,3,1,6,1]=>[{4,6},{1},{2,3},{5}]=>[4,6,1,2,3,5]
[2,3,3,6,1,1]=>[{5,6},{1},{2,3},{4}]=>[5,6,1,2,3,4]
[2,3,6,1,1,3]=>[{4,5},{1},{2,6},{3}]=>[4,5,1,2,6,3]
[2,3,6,1,3,1]=>[{4,6},{1},{2,5},{3}]=>[4,6,1,2,5,3]
[2,3,6,3,1,1]=>[{5,6},{1},{2,4},{3}]=>[5,6,1,2,4,3]
[2,6,1,1,3,3]=>[{3,4},{1},{5,6},{2}]=>[3,4,1,5,6,2]
[2,6,1,3,1,3]=>[{3,5},{1},{4,6},{2}]=>[3,5,1,4,6,2]
[2,6,1,3,3,1]=>[{3,6},{1},{4,5},{2}]=>[3,6,1,4,5,2]
[2,6,3,1,1,3]=>[{4,5},{1},{3,6},{2}]=>[4,5,1,3,6,2]
[2,6,3,1,3,1]=>[{4,6},{1},{3,5},{2}]=>[4,6,1,3,5,2]
[2,6,3,3,1,1]=>[{5,6},{1},{3,4},{2}]=>[5,6,1,3,4,2]
[3,1,1,2,3,6]=>[{2,3},{4},{1,5},{6}]=>[2,3,4,1,5,6]
[3,1,1,2,6,3]=>[{2,3},{4},{1,6},{5}]=>[2,3,4,1,6,5]
[3,1,1,3,2,6]=>[{2,3},{5},{1,4},{6}]=>[2,3,5,1,4,6]
[3,1,1,3,6,2]=>[{2,3},{6},{1,4},{5}]=>[2,3,6,1,4,5]
[3,1,1,6,2,3]=>[{2,3},{5},{1,6},{4}]=>[2,3,5,1,6,4]
[3,1,1,6,3,2]=>[{2,3},{6},{1,5},{4}]=>[2,3,6,1,5,4]
[3,1,2,1,3,6]=>[{2,4},{3},{1,5},{6}]=>[2,4,3,1,5,6]
[3,1,2,1,6,3]=>[{2,4},{3},{1,6},{5}]=>[2,4,3,1,6,5]
[3,1,2,3,1,6]=>[{2,5},{3},{1,4},{6}]=>[2,5,3,1,4,6]
[3,1,2,3,6,1]=>[{2,6},{3},{1,4},{5}]=>[2,6,3,1,4,5]
[3,1,2,6,1,3]=>[{2,5},{3},{1,6},{4}]=>[2,5,3,1,6,4]
[3,1,2,6,3,1]=>[{2,6},{3},{1,5},{4}]=>[2,6,3,1,5,4]
[3,1,3,1,2,6]=>[{2,4},{5},{1,3},{6}]=>[2,4,5,1,3,6]
[3,1,3,1,6,2]=>[{2,4},{6},{1,3},{5}]=>[2,4,6,1,3,5]
[3,1,3,2,1,6]=>[{2,5},{4},{1,3},{6}]=>[2,5,4,1,3,6]
[3,1,3,2,6,1]=>[{2,6},{4},{1,3},{5}]=>[2,6,4,1,3,5]
[3,1,3,6,1,2]=>[{2,5},{6},{1,3},{4}]=>[2,5,6,1,3,4]
[3,1,3,6,2,1]=>[{2,6},{5},{1,3},{4}]=>[2,6,5,1,3,4]
[3,1,6,1,2,3]=>[{2,4},{5},{1,6},{3}]=>[2,4,5,1,6,3]
[3,1,6,1,3,2]=>[{2,4},{6},{1,5},{3}]=>[2,4,6,1,5,3]
[3,1,6,2,1,3]=>[{2,5},{4},{1,6},{3}]=>[2,5,4,1,6,3]
[3,1,6,2,3,1]=>[{2,6},{4},{1,5},{3}]=>[2,6,4,1,5,3]
[3,1,6,3,1,2]=>[{2,5},{6},{1,4},{3}]=>[2,5,6,1,4,3]
[3,1,6,3,2,1]=>[{2,6},{5},{1,4},{3}]=>[2,6,5,1,4,3]
[3,2,1,1,3,6]=>[{3,4},{2},{1,5},{6}]=>[3,4,2,1,5,6]
[3,2,1,1,6,3]=>[{3,4},{2},{1,6},{5}]=>[3,4,2,1,6,5]
[3,2,1,3,1,6]=>[{3,5},{2},{1,4},{6}]=>[3,5,2,1,4,6]
[3,2,1,3,6,1]=>[{3,6},{2},{1,4},{5}]=>[3,6,2,1,4,5]
[3,2,1,6,1,3]=>[{3,5},{2},{1,6},{4}]=>[3,5,2,1,6,4]
[3,2,1,6,3,1]=>[{3,6},{2},{1,5},{4}]=>[3,6,2,1,5,4]
[3,2,3,1,1,6]=>[{4,5},{2},{1,3},{6}]=>[4,5,2,1,3,6]
[3,2,3,1,6,1]=>[{4,6},{2},{1,3},{5}]=>[4,6,2,1,3,5]
[3,2,3,6,1,1]=>[{5,6},{2},{1,3},{4}]=>[5,6,2,1,3,4]
[3,2,6,1,1,3]=>[{4,5},{2},{1,6},{3}]=>[4,5,2,1,6,3]
[3,2,6,1,3,1]=>[{4,6},{2},{1,5},{3}]=>[4,6,2,1,5,3]
[3,2,6,3,1,1]=>[{5,6},{2},{1,4},{3}]=>[5,6,2,1,4,3]
[3,3,1,1,2,6]=>[{3,4},{5},{1,2},{6}]=>[3,4,5,1,2,6]
[3,3,1,1,6,2]=>[{3,4},{6},{1,2},{5}]=>[3,4,6,1,2,5]
[3,3,1,2,1,6]=>[{3,5},{4},{1,2},{6}]=>[3,5,4,1,2,6]
[3,3,1,2,6,1]=>[{3,6},{4},{1,2},{5}]=>[3,6,4,1,2,5]
[3,3,1,6,1,2]=>[{3,5},{6},{1,2},{4}]=>[3,5,6,1,2,4]
[3,3,1,6,2,1]=>[{3,6},{5},{1,2},{4}]=>[3,6,5,1,2,4]
[3,3,2,1,1,6]=>[{4,5},{3},{1,2},{6}]=>[4,5,3,1,2,6]
[3,3,2,1,6,1]=>[{4,6},{3},{1,2},{5}]=>[4,6,3,1,2,5]
[3,3,2,6,1,1]=>[{5,6},{3},{1,2},{4}]=>[5,6,3,1,2,4]
[3,3,6,1,1,2]=>[{4,5},{6},{1,2},{3}]=>[4,5,6,1,2,3]
[3,3,6,1,2,1]=>[{4,6},{5},{1,2},{3}]=>[4,6,5,1,2,3]
[3,3,6,2,1,1]=>[{5,6},{4},{1,2},{3}]=>[5,6,4,1,2,3]
[3,6,1,1,2,3]=>[{3,4},{5},{1,6},{2}]=>[3,4,5,1,6,2]
[3,6,1,1,3,2]=>[{3,4},{6},{1,5},{2}]=>[3,4,6,1,5,2]
[3,6,1,2,1,3]=>[{3,5},{4},{1,6},{2}]=>[3,5,4,1,6,2]
[3,6,1,2,3,1]=>[{3,6},{4},{1,5},{2}]=>[3,6,4,1,5,2]
[3,6,1,3,1,2]=>[{3,5},{6},{1,4},{2}]=>[3,5,6,1,4,2]
[3,6,1,3,2,1]=>[{3,6},{5},{1,4},{2}]=>[3,6,5,1,4,2]
[3,6,2,1,1,3]=>[{4,5},{3},{1,6},{2}]=>[4,5,3,1,6,2]
[3,6,2,1,3,1]=>[{4,6},{3},{1,5},{2}]=>[4,6,3,1,5,2]
[3,6,2,3,1,1]=>[{5,6},{3},{1,4},{2}]=>[5,6,3,1,4,2]
[3,6,3,1,1,2]=>[{4,5},{6},{1,3},{2}]=>[4,5,6,1,3,2]
[3,6,3,1,2,1]=>[{4,6},{5},{1,3},{2}]=>[4,6,5,1,3,2]
[3,6,3,2,1,1]=>[{5,6},{4},{1,3},{2}]=>[5,6,4,1,3,2]
[6,1,1,2,3,3]=>[{2,3},{4},{5,6},{1}]=>[2,3,4,5,6,1]
[6,1,1,3,2,3]=>[{2,3},{5},{4,6},{1}]=>[2,3,5,4,6,1]
[6,1,1,3,3,2]=>[{2,3},{6},{4,5},{1}]=>[2,3,6,4,5,1]
[6,1,2,1,3,3]=>[{2,4},{3},{5,6},{1}]=>[2,4,3,5,6,1]
[6,1,2,3,1,3]=>[{2,5},{3},{4,6},{1}]=>[2,5,3,4,6,1]
[6,1,2,3,3,1]=>[{2,6},{3},{4,5},{1}]=>[2,6,3,4,5,1]
[6,1,3,1,2,3]=>[{2,4},{5},{3,6},{1}]=>[2,4,5,3,6,1]
[6,1,3,1,3,2]=>[{2,4},{6},{3,5},{1}]=>[2,4,6,3,5,1]
[6,1,3,2,1,3]=>[{2,5},{4},{3,6},{1}]=>[2,5,4,3,6,1]
[6,1,3,2,3,1]=>[{2,6},{4},{3,5},{1}]=>[2,6,4,3,5,1]
[6,1,3,3,1,2]=>[{2,5},{6},{3,4},{1}]=>[2,5,6,3,4,1]
[6,1,3,3,2,1]=>[{2,6},{5},{3,4},{1}]=>[2,6,5,3,4,1]
[6,2,1,1,3,3]=>[{3,4},{2},{5,6},{1}]=>[3,4,2,5,6,1]
[6,2,1,3,1,3]=>[{3,5},{2},{4,6},{1}]=>[3,5,2,4,6,1]
[6,2,1,3,3,1]=>[{3,6},{2},{4,5},{1}]=>[3,6,2,4,5,1]
[6,2,3,1,1,3]=>[{4,5},{2},{3,6},{1}]=>[4,5,2,3,6,1]
[6,2,3,1,3,1]=>[{4,6},{2},{3,5},{1}]=>[4,6,2,3,5,1]
[6,2,3,3,1,1]=>[{5,6},{2},{3,4},{1}]=>[5,6,2,3,4,1]
[6,3,1,1,2,3]=>[{3,4},{5},{2,6},{1}]=>[3,4,5,2,6,1]
[6,3,1,1,3,2]=>[{3,4},{6},{2,5},{1}]=>[3,4,6,2,5,1]
[6,3,1,2,1,3]=>[{3,5},{4},{2,6},{1}]=>[3,5,4,2,6,1]
[6,3,1,2,3,1]=>[{3,6},{4},{2,5},{1}]=>[3,6,4,2,5,1]
[6,3,1,3,1,2]=>[{3,5},{6},{2,4},{1}]=>[3,5,6,2,4,1]
[6,3,1,3,2,1]=>[{3,6},{5},{2,4},{1}]=>[3,6,5,2,4,1]
[6,3,2,1,1,3]=>[{4,5},{3},{2,6},{1}]=>[4,5,3,2,6,1]
[6,3,2,1,3,1]=>[{4,6},{3},{2,5},{1}]=>[4,6,3,2,5,1]
[6,3,2,3,1,1]=>[{5,6},{3},{2,4},{1}]=>[5,6,3,2,4,1]
[6,3,3,1,1,2]=>[{4,5},{6},{2,3},{1}]=>[4,5,6,2,3,1]
[6,3,3,1,2,1]=>[{4,6},{5},{2,3},{1}]=>[4,6,5,2,3,1]
[6,3,3,2,1,1]=>[{5,6},{4},{2,3},{1}]=>[5,6,4,2,3,1]
[1,1,2,3,4,4]=>[{1,2},{3},{4},{5,6}]=>[1,2,3,4,5,6]
[1,1,2,4,3,4]=>[{1,2},{3},{5},{4,6}]=>[1,2,3,5,4,6]
[1,1,2,4,4,3]=>[{1,2},{3},{6},{4,5}]=>[1,2,3,6,4,5]
[1,1,3,2,4,4]=>[{1,2},{4},{3},{5,6}]=>[1,2,4,3,5,6]
[1,1,3,4,2,4]=>[{1,2},{5},{3},{4,6}]=>[1,2,5,3,4,6]
[1,1,3,4,4,2]=>[{1,2},{6},{3},{4,5}]=>[1,2,6,3,4,5]
[1,1,4,2,3,4]=>[{1,2},{4},{5},{3,6}]=>[1,2,4,5,3,6]
[1,1,4,2,4,3]=>[{1,2},{4},{6},{3,5}]=>[1,2,4,6,3,5]
[1,1,4,3,2,4]=>[{1,2},{5},{4},{3,6}]=>[1,2,5,4,3,6]
[1,1,4,3,4,2]=>[{1,2},{6},{4},{3,5}]=>[1,2,6,4,3,5]
[1,1,4,4,2,3]=>[{1,2},{5},{6},{3,4}]=>[1,2,5,6,3,4]
[1,1,4,4,3,2]=>[{1,2},{6},{5},{3,4}]=>[1,2,6,5,3,4]
[1,2,1,3,4,4]=>[{1,3},{2},{4},{5,6}]=>[1,3,2,4,5,6]
[1,2,1,4,3,4]=>[{1,3},{2},{5},{4,6}]=>[1,3,2,5,4,6]
[1,2,1,4,4,3]=>[{1,3},{2},{6},{4,5}]=>[1,3,2,6,4,5]
[1,2,3,1,4,4]=>[{1,4},{2},{3},{5,6}]=>[1,4,2,3,5,6]
[1,2,3,4,1,4]=>[{1,5},{2},{3},{4,6}]=>[1,5,2,3,4,6]
[1,2,3,4,4,1]=>[{1,6},{2},{3},{4,5}]=>[1,6,2,3,4,5]
[1,2,4,1,3,4]=>[{1,4},{2},{5},{3,6}]=>[1,4,2,5,3,6]
[1,2,4,1,4,3]=>[{1,4},{2},{6},{3,5}]=>[1,4,2,6,3,5]
[1,2,4,3,1,4]=>[{1,5},{2},{4},{3,6}]=>[1,5,2,4,3,6]
[1,2,4,3,4,1]=>[{1,6},{2},{4},{3,5}]=>[1,6,2,4,3,5]
[1,2,4,4,1,3]=>[{1,5},{2},{6},{3,4}]=>[1,5,2,6,3,4]
[1,2,4,4,3,1]=>[{1,6},{2},{5},{3,4}]=>[1,6,2,5,3,4]
[1,3,1,2,4,4]=>[{1,3},{4},{2},{5,6}]=>[1,3,4,2,5,6]
[1,3,1,4,2,4]=>[{1,3},{5},{2},{4,6}]=>[1,3,5,2,4,6]
[1,3,1,4,4,2]=>[{1,3},{6},{2},{4,5}]=>[1,3,6,2,4,5]
[1,3,2,1,4,4]=>[{1,4},{3},{2},{5,6}]=>[1,4,3,2,5,6]
[1,3,2,4,1,4]=>[{1,5},{3},{2},{4,6}]=>[1,5,3,2,4,6]
[1,3,2,4,4,1]=>[{1,6},{3},{2},{4,5}]=>[1,6,3,2,4,5]
[1,3,4,1,2,4]=>[{1,4},{5},{2},{3,6}]=>[1,4,5,2,3,6]
[1,3,4,1,4,2]=>[{1,4},{6},{2},{3,5}]=>[1,4,6,2,3,5]
[1,3,4,2,1,4]=>[{1,5},{4},{2},{3,6}]=>[1,5,4,2,3,6]
[1,3,4,2,4,1]=>[{1,6},{4},{2},{3,5}]=>[1,6,4,2,3,5]
[1,3,4,4,1,2]=>[{1,5},{6},{2},{3,4}]=>[1,5,6,2,3,4]
[1,3,4,4,2,1]=>[{1,6},{5},{2},{3,4}]=>[1,6,5,2,3,4]
[1,4,1,2,3,4]=>[{1,3},{4},{5},{2,6}]=>[1,3,4,5,2,6]
[1,4,1,2,4,3]=>[{1,3},{4},{6},{2,5}]=>[1,3,4,6,2,5]
[1,4,1,3,2,4]=>[{1,3},{5},{4},{2,6}]=>[1,3,5,4,2,6]
[1,4,1,3,4,2]=>[{1,3},{6},{4},{2,5}]=>[1,3,6,4,2,5]
[1,4,1,4,2,3]=>[{1,3},{5},{6},{2,4}]=>[1,3,5,6,2,4]
[1,4,1,4,3,2]=>[{1,3},{6},{5},{2,4}]=>[1,3,6,5,2,4]
[1,4,2,1,3,4]=>[{1,4},{3},{5},{2,6}]=>[1,4,3,5,2,6]
[1,4,2,1,4,3]=>[{1,4},{3},{6},{2,5}]=>[1,4,3,6,2,5]
[1,4,2,3,1,4]=>[{1,5},{3},{4},{2,6}]=>[1,5,3,4,2,6]
[1,4,2,3,4,1]=>[{1,6},{3},{4},{2,5}]=>[1,6,3,4,2,5]
[1,4,2,4,1,3]=>[{1,5},{3},{6},{2,4}]=>[1,5,3,6,2,4]
[1,4,2,4,3,1]=>[{1,6},{3},{5},{2,4}]=>[1,6,3,5,2,4]
[1,4,3,1,2,4]=>[{1,4},{5},{3},{2,6}]=>[1,4,5,3,2,6]
[1,4,3,1,4,2]=>[{1,4},{6},{3},{2,5}]=>[1,4,6,3,2,5]
[1,4,3,2,1,4]=>[{1,5},{4},{3},{2,6}]=>[1,5,4,3,2,6]
[1,4,3,2,4,1]=>[{1,6},{4},{3},{2,5}]=>[1,6,4,3,2,5]
[1,4,3,4,1,2]=>[{1,5},{6},{3},{2,4}]=>[1,5,6,3,2,4]
[1,4,3,4,2,1]=>[{1,6},{5},{3},{2,4}]=>[1,6,5,3,2,4]
[1,4,4,1,2,3]=>[{1,4},{5},{6},{2,3}]=>[1,4,5,6,2,3]
[1,4,4,1,3,2]=>[{1,4},{6},{5},{2,3}]=>[1,4,6,5,2,3]
[1,4,4,2,1,3]=>[{1,5},{4},{6},{2,3}]=>[1,5,4,6,2,3]
[1,4,4,2,3,1]=>[{1,6},{4},{5},{2,3}]=>[1,6,4,5,2,3]
[1,4,4,3,1,2]=>[{1,5},{6},{4},{2,3}]=>[1,5,6,4,2,3]
[1,4,4,3,2,1]=>[{1,6},{5},{4},{2,3}]=>[1,6,5,4,2,3]
[2,1,1,3,4,4]=>[{2,3},{1},{4},{5,6}]=>[2,3,1,4,5,6]
[2,1,1,4,3,4]=>[{2,3},{1},{5},{4,6}]=>[2,3,1,5,4,6]
[2,1,1,4,4,3]=>[{2,3},{1},{6},{4,5}]=>[2,3,1,6,4,5]
[2,1,3,1,4,4]=>[{2,4},{1},{3},{5,6}]=>[2,4,1,3,5,6]
[2,1,3,4,1,4]=>[{2,5},{1},{3},{4,6}]=>[2,5,1,3,4,6]
[2,1,3,4,4,1]=>[{2,6},{1},{3},{4,5}]=>[2,6,1,3,4,5]
[2,1,4,1,3,4]=>[{2,4},{1},{5},{3,6}]=>[2,4,1,5,3,6]
[2,1,4,1,4,3]=>[{2,4},{1},{6},{3,5}]=>[2,4,1,6,3,5]
[2,1,4,3,1,4]=>[{2,5},{1},{4},{3,6}]=>[2,5,1,4,3,6]
[2,1,4,3,4,1]=>[{2,6},{1},{4},{3,5}]=>[2,6,1,4,3,5]
[2,1,4,4,1,3]=>[{2,5},{1},{6},{3,4}]=>[2,5,1,6,3,4]
[2,1,4,4,3,1]=>[{2,6},{1},{5},{3,4}]=>[2,6,1,5,3,4]
[2,3,1,1,4,4]=>[{3,4},{1},{2},{5,6}]=>[3,4,1,2,5,6]
[2,3,1,4,1,4]=>[{3,5},{1},{2},{4,6}]=>[3,5,1,2,4,6]
[2,3,1,4,4,1]=>[{3,6},{1},{2},{4,5}]=>[3,6,1,2,4,5]
[2,3,4,1,1,4]=>[{4,5},{1},{2},{3,6}]=>[4,5,1,2,3,6]
[2,3,4,1,4,1]=>[{4,6},{1},{2},{3,5}]=>[4,6,1,2,3,5]
[2,3,4,4,1,1]=>[{5,6},{1},{2},{3,4}]=>[5,6,1,2,3,4]
[2,4,1,1,3,4]=>[{3,4},{1},{5},{2,6}]=>[3,4,1,5,2,6]
[2,4,1,1,4,3]=>[{3,4},{1},{6},{2,5}]=>[3,4,1,6,2,5]
[2,4,1,3,1,4]=>[{3,5},{1},{4},{2,6}]=>[3,5,1,4,2,6]
[2,4,1,3,4,1]=>[{3,6},{1},{4},{2,5}]=>[3,6,1,4,2,5]
[2,4,1,4,1,3]=>[{3,5},{1},{6},{2,4}]=>[3,5,1,6,2,4]
[2,4,1,4,3,1]=>[{3,6},{1},{5},{2,4}]=>[3,6,1,5,2,4]
[2,4,3,1,1,4]=>[{4,5},{1},{3},{2,6}]=>[4,5,1,3,2,6]
[2,4,3,1,4,1]=>[{4,6},{1},{3},{2,5}]=>[4,6,1,3,2,5]
[2,4,3,4,1,1]=>[{5,6},{1},{3},{2,4}]=>[5,6,1,3,2,4]
[2,4,4,1,1,3]=>[{4,5},{1},{6},{2,3}]=>[4,5,1,6,2,3]
[2,4,4,1,3,1]=>[{4,6},{1},{5},{2,3}]=>[4,6,1,5,2,3]
[2,4,4,3,1,1]=>[{5,6},{1},{4},{2,3}]=>[5,6,1,4,2,3]
[3,1,1,2,4,4]=>[{2,3},{4},{1},{5,6}]=>[2,3,4,1,5,6]
[3,1,1,4,2,4]=>[{2,3},{5},{1},{4,6}]=>[2,3,5,1,4,6]
[3,1,1,4,4,2]=>[{2,3},{6},{1},{4,5}]=>[2,3,6,1,4,5]
[3,1,2,1,4,4]=>[{2,4},{3},{1},{5,6}]=>[2,4,3,1,5,6]
[3,1,2,4,1,4]=>[{2,5},{3},{1},{4,6}]=>[2,5,3,1,4,6]
[3,1,2,4,4,1]=>[{2,6},{3},{1},{4,5}]=>[2,6,3,1,4,5]
[3,1,4,1,2,4]=>[{2,4},{5},{1},{3,6}]=>[2,4,5,1,3,6]
[3,1,4,1,4,2]=>[{2,4},{6},{1},{3,5}]=>[2,4,6,1,3,5]
[3,1,4,2,1,4]=>[{2,5},{4},{1},{3,6}]=>[2,5,4,1,3,6]
[3,1,4,2,4,1]=>[{2,6},{4},{1},{3,5}]=>[2,6,4,1,3,5]
[3,1,4,4,1,2]=>[{2,5},{6},{1},{3,4}]=>[2,5,6,1,3,4]
[3,1,4,4,2,1]=>[{2,6},{5},{1},{3,4}]=>[2,6,5,1,3,4]
[3,2,1,1,4,4]=>[{3,4},{2},{1},{5,6}]=>[3,4,2,1,5,6]
[3,2,1,4,1,4]=>[{3,5},{2},{1},{4,6}]=>[3,5,2,1,4,6]
[3,2,1,4,4,1]=>[{3,6},{2},{1},{4,5}]=>[3,6,2,1,4,5]
[3,2,4,1,1,4]=>[{4,5},{2},{1},{3,6}]=>[4,5,2,1,3,6]
[3,2,4,1,4,1]=>[{4,6},{2},{1},{3,5}]=>[4,6,2,1,3,5]
[3,2,4,4,1,1]=>[{5,6},{2},{1},{3,4}]=>[5,6,2,1,3,4]
[3,4,1,1,2,4]=>[{3,4},{5},{1},{2,6}]=>[3,4,5,1,2,6]
[3,4,1,1,4,2]=>[{3,4},{6},{1},{2,5}]=>[3,4,6,1,2,5]
[3,4,1,2,1,4]=>[{3,5},{4},{1},{2,6}]=>[3,5,4,1,2,6]
[3,4,1,2,4,1]=>[{3,6},{4},{1},{2,5}]=>[3,6,4,1,2,5]
[3,4,1,4,1,2]=>[{3,5},{6},{1},{2,4}]=>[3,5,6,1,2,4]
[3,4,1,4,2,1]=>[{3,6},{5},{1},{2,4}]=>[3,6,5,1,2,4]
[3,4,2,1,1,4]=>[{4,5},{3},{1},{2,6}]=>[4,5,3,1,2,6]
[3,4,2,1,4,1]=>[{4,6},{3},{1},{2,5}]=>[4,6,3,1,2,5]
[3,4,2,4,1,1]=>[{5,6},{3},{1},{2,4}]=>[5,6,3,1,2,4]
[3,4,4,1,1,2]=>[{4,5},{6},{1},{2,3}]=>[4,5,6,1,2,3]
[3,4,4,1,2,1]=>[{4,6},{5},{1},{2,3}]=>[4,6,5,1,2,3]
[3,4,4,2,1,1]=>[{5,6},{4},{1},{2,3}]=>[5,6,4,1,2,3]
[4,1,1,2,3,4]=>[{2,3},{4},{5},{1,6}]=>[2,3,4,5,1,6]
[4,1,1,2,4,3]=>[{2,3},{4},{6},{1,5}]=>[2,3,4,6,1,5]
[4,1,1,3,2,4]=>[{2,3},{5},{4},{1,6}]=>[2,3,5,4,1,6]
[4,1,1,3,4,2]=>[{2,3},{6},{4},{1,5}]=>[2,3,6,4,1,5]
[4,1,1,4,2,3]=>[{2,3},{5},{6},{1,4}]=>[2,3,5,6,1,4]
[4,1,1,4,3,2]=>[{2,3},{6},{5},{1,4}]=>[2,3,6,5,1,4]
[4,1,2,1,3,4]=>[{2,4},{3},{5},{1,6}]=>[2,4,3,5,1,6]
[4,1,2,1,4,3]=>[{2,4},{3},{6},{1,5}]=>[2,4,3,6,1,5]
[4,1,2,3,1,4]=>[{2,5},{3},{4},{1,6}]=>[2,5,3,4,1,6]
[4,1,2,3,4,1]=>[{2,6},{3},{4},{1,5}]=>[2,6,3,4,1,5]
[4,1,2,4,1,3]=>[{2,5},{3},{6},{1,4}]=>[2,5,3,6,1,4]
[4,1,2,4,3,1]=>[{2,6},{3},{5},{1,4}]=>[2,6,3,5,1,4]
[4,1,3,1,2,4]=>[{2,4},{5},{3},{1,6}]=>[2,4,5,3,1,6]
[4,1,3,1,4,2]=>[{2,4},{6},{3},{1,5}]=>[2,4,6,3,1,5]
[4,1,3,2,1,4]=>[{2,5},{4},{3},{1,6}]=>[2,5,4,3,1,6]
[4,1,3,2,4,1]=>[{2,6},{4},{3},{1,5}]=>[2,6,4,3,1,5]
[4,1,3,4,1,2]=>[{2,5},{6},{3},{1,4}]=>[2,5,6,3,1,4]
[4,1,3,4,2,1]=>[{2,6},{5},{3},{1,4}]=>[2,6,5,3,1,4]
[4,1,4,1,2,3]=>[{2,4},{5},{6},{1,3}]=>[2,4,5,6,1,3]
[4,1,4,1,3,2]=>[{2,4},{6},{5},{1,3}]=>[2,4,6,5,1,3]
[4,1,4,2,1,3]=>[{2,5},{4},{6},{1,3}]=>[2,5,4,6,1,3]
[4,1,4,2,3,1]=>[{2,6},{4},{5},{1,3}]=>[2,6,4,5,1,3]
[4,1,4,3,1,2]=>[{2,5},{6},{4},{1,3}]=>[2,5,6,4,1,3]
[4,1,4,3,2,1]=>[{2,6},{5},{4},{1,3}]=>[2,6,5,4,1,3]
[4,2,1,1,3,4]=>[{3,4},{2},{5},{1,6}]=>[3,4,2,5,1,6]
[4,2,1,1,4,3]=>[{3,4},{2},{6},{1,5}]=>[3,4,2,6,1,5]
[4,2,1,3,1,4]=>[{3,5},{2},{4},{1,6}]=>[3,5,2,4,1,6]
[4,2,1,3,4,1]=>[{3,6},{2},{4},{1,5}]=>[3,6,2,4,1,5]
[4,2,1,4,1,3]=>[{3,5},{2},{6},{1,4}]=>[3,5,2,6,1,4]
[4,2,1,4,3,1]=>[{3,6},{2},{5},{1,4}]=>[3,6,2,5,1,4]
[4,2,3,1,1,4]=>[{4,5},{2},{3},{1,6}]=>[4,5,2,3,1,6]
[4,2,3,1,4,1]=>[{4,6},{2},{3},{1,5}]=>[4,6,2,3,1,5]
[4,2,3,4,1,1]=>[{5,6},{2},{3},{1,4}]=>[5,6,2,3,1,4]
[4,2,4,1,1,3]=>[{4,5},{2},{6},{1,3}]=>[4,5,2,6,1,3]
[4,2,4,1,3,1]=>[{4,6},{2},{5},{1,3}]=>[4,6,2,5,1,3]
[4,2,4,3,1,1]=>[{5,6},{2},{4},{1,3}]=>[5,6,2,4,1,3]
[4,3,1,1,2,4]=>[{3,4},{5},{2},{1,6}]=>[3,4,5,2,1,6]
[4,3,1,1,4,2]=>[{3,4},{6},{2},{1,5}]=>[3,4,6,2,1,5]
[4,3,1,2,1,4]=>[{3,5},{4},{2},{1,6}]=>[3,5,4,2,1,6]
[4,3,1,2,4,1]=>[{3,6},{4},{2},{1,5}]=>[3,6,4,2,1,5]
[4,3,1,4,1,2]=>[{3,5},{6},{2},{1,4}]=>[3,5,6,2,1,4]
[4,3,1,4,2,1]=>[{3,6},{5},{2},{1,4}]=>[3,6,5,2,1,4]
[4,3,2,1,1,4]=>[{4,5},{3},{2},{1,6}]=>[4,5,3,2,1,6]
[4,3,2,1,4,1]=>[{4,6},{3},{2},{1,5}]=>[4,6,3,2,1,5]
[4,3,2,4,1,1]=>[{5,6},{3},{2},{1,4}]=>[5,6,3,2,1,4]
[4,3,4,1,1,2]=>[{4,5},{6},{2},{1,3}]=>[4,5,6,2,1,3]
[4,3,4,1,2,1]=>[{4,6},{5},{2},{1,3}]=>[4,6,5,2,1,3]
[4,3,4,2,1,1]=>[{5,6},{4},{2},{1,3}]=>[5,6,4,2,1,3]
[4,4,1,1,2,3]=>[{3,4},{5},{6},{1,2}]=>[3,4,5,6,1,2]
[4,4,1,1,3,2]=>[{3,4},{6},{5},{1,2}]=>[3,4,6,5,1,2]
[4,4,1,2,1,3]=>[{3,5},{4},{6},{1,2}]=>[3,5,4,6,1,2]
[4,4,1,2,3,1]=>[{3,6},{4},{5},{1,2}]=>[3,6,4,5,1,2]
[4,4,1,3,1,2]=>[{3,5},{6},{4},{1,2}]=>[3,5,6,4,1,2]
[4,4,1,3,2,1]=>[{3,6},{5},{4},{1,2}]=>[3,6,5,4,1,2]
[4,4,2,1,1,3]=>[{4,5},{3},{6},{1,2}]=>[4,5,3,6,1,2]
[4,4,2,1,3,1]=>[{4,6},{3},{5},{1,2}]=>[4,6,3,5,1,2]
[4,4,2,3,1,1]=>[{5,6},{3},{4},{1,2}]=>[5,6,3,4,1,2]
[4,4,3,1,1,2]=>[{4,5},{6},{3},{1,2}]=>[4,5,6,3,1,2]
[4,4,3,1,2,1]=>[{4,6},{5},{3},{1,2}]=>[4,6,5,3,1,2]
[4,4,3,2,1,1]=>[{5,6},{4},{3},{1,2}]=>[5,6,4,3,1,2]
[1,1,2,3,4,5]=>[{1,2},{3},{4},{5},{6}]=>[1,2,3,4,5,6]
[1,1,2,3,5,4]=>[{1,2},{3},{4},{6},{5}]=>[1,2,3,4,6,5]
[1,1,2,4,3,5]=>[{1,2},{3},{5},{4},{6}]=>[1,2,3,5,4,6]
[1,1,2,4,5,3]=>[{1,2},{3},{6},{4},{5}]=>[1,2,3,6,4,5]
[1,1,2,5,3,4]=>[{1,2},{3},{5},{6},{4}]=>[1,2,3,5,6,4]
[1,1,2,5,4,3]=>[{1,2},{3},{6},{5},{4}]=>[1,2,3,6,5,4]
[1,1,3,2,4,5]=>[{1,2},{4},{3},{5},{6}]=>[1,2,4,3,5,6]
[1,1,3,2,5,4]=>[{1,2},{4},{3},{6},{5}]=>[1,2,4,3,6,5]
[1,1,3,4,2,5]=>[{1,2},{5},{3},{4},{6}]=>[1,2,5,3,4,6]
[1,1,3,4,5,2]=>[{1,2},{6},{3},{4},{5}]=>[1,2,6,3,4,5]
[1,1,3,5,2,4]=>[{1,2},{5},{3},{6},{4}]=>[1,2,5,3,6,4]
[1,1,3,5,4,2]=>[{1,2},{6},{3},{5},{4}]=>[1,2,6,3,5,4]
[1,1,4,2,3,5]=>[{1,2},{4},{5},{3},{6}]=>[1,2,4,5,3,6]
[1,1,4,2,5,3]=>[{1,2},{4},{6},{3},{5}]=>[1,2,4,6,3,5]
[1,1,4,3,2,5]=>[{1,2},{5},{4},{3},{6}]=>[1,2,5,4,3,6]
[1,1,4,3,5,2]=>[{1,2},{6},{4},{3},{5}]=>[1,2,6,4,3,5]
[1,1,4,5,2,3]=>[{1,2},{5},{6},{3},{4}]=>[1,2,5,6,3,4]
[1,1,4,5,3,2]=>[{1,2},{6},{5},{3},{4}]=>[1,2,6,5,3,4]
[1,1,5,2,3,4]=>[{1,2},{4},{5},{6},{3}]=>[1,2,4,5,6,3]
[1,1,5,2,4,3]=>[{1,2},{4},{6},{5},{3}]=>[1,2,4,6,5,3]
[1,1,5,3,2,4]=>[{1,2},{5},{4},{6},{3}]=>[1,2,5,4,6,3]
[1,1,5,3,4,2]=>[{1,2},{6},{4},{5},{3}]=>[1,2,6,4,5,3]
[1,1,5,4,2,3]=>[{1,2},{5},{6},{4},{3}]=>[1,2,5,6,4,3]
[1,1,5,4,3,2]=>[{1,2},{6},{5},{4},{3}]=>[1,2,6,5,4,3]
[1,2,1,3,4,5]=>[{1,3},{2},{4},{5},{6}]=>[1,3,2,4,5,6]
[1,2,1,3,5,4]=>[{1,3},{2},{4},{6},{5}]=>[1,3,2,4,6,5]
[1,2,1,4,3,5]=>[{1,3},{2},{5},{4},{6}]=>[1,3,2,5,4,6]
[1,2,1,4,5,3]=>[{1,3},{2},{6},{4},{5}]=>[1,3,2,6,4,5]
[1,2,1,5,3,4]=>[{1,3},{2},{5},{6},{4}]=>[1,3,2,5,6,4]
[1,2,1,5,4,3]=>[{1,3},{2},{6},{5},{4}]=>[1,3,2,6,5,4]
[1,2,3,1,4,5]=>[{1,4},{2},{3},{5},{6}]=>[1,4,2,3,5,6]
[1,2,3,1,5,4]=>[{1,4},{2},{3},{6},{5}]=>[1,4,2,3,6,5]
[1,2,3,4,1,5]=>[{1,5},{2},{3},{4},{6}]=>[1,5,2,3,4,6]
[1,2,3,4,5,1]=>[{1,6},{2},{3},{4},{5}]=>[1,6,2,3,4,5]
[1,2,3,5,1,4]=>[{1,5},{2},{3},{6},{4}]=>[1,5,2,3,6,4]
[1,2,3,5,4,1]=>[{1,6},{2},{3},{5},{4}]=>[1,6,2,3,5,4]
[1,2,4,1,3,5]=>[{1,4},{2},{5},{3},{6}]=>[1,4,2,5,3,6]
[1,2,4,1,5,3]=>[{1,4},{2},{6},{3},{5}]=>[1,4,2,6,3,5]
[1,2,4,3,1,5]=>[{1,5},{2},{4},{3},{6}]=>[1,5,2,4,3,6]
[1,2,4,3,5,1]=>[{1,6},{2},{4},{3},{5}]=>[1,6,2,4,3,5]
[1,2,4,5,1,3]=>[{1,5},{2},{6},{3},{4}]=>[1,5,2,6,3,4]
[1,2,4,5,3,1]=>[{1,6},{2},{5},{3},{4}]=>[1,6,2,5,3,4]
[1,2,5,1,3,4]=>[{1,4},{2},{5},{6},{3}]=>[1,4,2,5,6,3]
[1,2,5,1,4,3]=>[{1,4},{2},{6},{5},{3}]=>[1,4,2,6,5,3]
[1,2,5,3,1,4]=>[{1,5},{2},{4},{6},{3}]=>[1,5,2,4,6,3]
[1,2,5,3,4,1]=>[{1,6},{2},{4},{5},{3}]=>[1,6,2,4,5,3]
[1,2,5,4,1,3]=>[{1,5},{2},{6},{4},{3}]=>[1,5,2,6,4,3]
[1,2,5,4,3,1]=>[{1,6},{2},{5},{4},{3}]=>[1,6,2,5,4,3]
[1,3,1,2,4,5]=>[{1,3},{4},{2},{5},{6}]=>[1,3,4,2,5,6]
[1,3,1,2,5,4]=>[{1,3},{4},{2},{6},{5}]=>[1,3,4,2,6,5]
[1,3,1,4,2,5]=>[{1,3},{5},{2},{4},{6}]=>[1,3,5,2,4,6]
[1,3,1,4,5,2]=>[{1,3},{6},{2},{4},{5}]=>[1,3,6,2,4,5]
[1,3,1,5,2,4]=>[{1,3},{5},{2},{6},{4}]=>[1,3,5,2,6,4]
[1,3,1,5,4,2]=>[{1,3},{6},{2},{5},{4}]=>[1,3,6,2,5,4]
[1,3,2,1,4,5]=>[{1,4},{3},{2},{5},{6}]=>[1,4,3,2,5,6]
[1,3,2,1,5,4]=>[{1,4},{3},{2},{6},{5}]=>[1,4,3,2,6,5]
[1,3,2,4,1,5]=>[{1,5},{3},{2},{4},{6}]=>[1,5,3,2,4,6]
[1,3,2,4,5,1]=>[{1,6},{3},{2},{4},{5}]=>[1,6,3,2,4,5]
[1,3,2,5,1,4]=>[{1,5},{3},{2},{6},{4}]=>[1,5,3,2,6,4]
[1,3,2,5,4,1]=>[{1,6},{3},{2},{5},{4}]=>[1,6,3,2,5,4]
[1,3,4,1,2,5]=>[{1,4},{5},{2},{3},{6}]=>[1,4,5,2,3,6]
[1,3,4,1,5,2]=>[{1,4},{6},{2},{3},{5}]=>[1,4,6,2,3,5]
[1,3,4,2,1,5]=>[{1,5},{4},{2},{3},{6}]=>[1,5,4,2,3,6]
[1,3,4,2,5,1]=>[{1,6},{4},{2},{3},{5}]=>[1,6,4,2,3,5]
[1,3,4,5,1,2]=>[{1,5},{6},{2},{3},{4}]=>[1,5,6,2,3,4]
[1,3,4,5,2,1]=>[{1,6},{5},{2},{3},{4}]=>[1,6,5,2,3,4]
[1,3,5,1,2,4]=>[{1,4},{5},{2},{6},{3}]=>[1,4,5,2,6,3]
[1,3,5,1,4,2]=>[{1,4},{6},{2},{5},{3}]=>[1,4,6,2,5,3]
[1,3,5,2,1,4]=>[{1,5},{4},{2},{6},{3}]=>[1,5,4,2,6,3]
[1,3,5,2,4,1]=>[{1,6},{4},{2},{5},{3}]=>[1,6,4,2,5,3]
[1,3,5,4,1,2]=>[{1,5},{6},{2},{4},{3}]=>[1,5,6,2,4,3]
[1,3,5,4,2,1]=>[{1,6},{5},{2},{4},{3}]=>[1,6,5,2,4,3]
[1,4,1,2,3,5]=>[{1,3},{4},{5},{2},{6}]=>[1,3,4,5,2,6]
[1,4,1,2,5,3]=>[{1,3},{4},{6},{2},{5}]=>[1,3,4,6,2,5]
[1,4,1,3,2,5]=>[{1,3},{5},{4},{2},{6}]=>[1,3,5,4,2,6]
[1,4,1,3,5,2]=>[{1,3},{6},{4},{2},{5}]=>[1,3,6,4,2,5]
[1,4,1,5,2,3]=>[{1,3},{5},{6},{2},{4}]=>[1,3,5,6,2,4]
[1,4,1,5,3,2]=>[{1,3},{6},{5},{2},{4}]=>[1,3,6,5,2,4]
[1,4,2,1,3,5]=>[{1,4},{3},{5},{2},{6}]=>[1,4,3,5,2,6]
[1,4,2,1,5,3]=>[{1,4},{3},{6},{2},{5}]=>[1,4,3,6,2,5]
[1,4,2,3,1,5]=>[{1,5},{3},{4},{2},{6}]=>[1,5,3,4,2,6]
[1,4,2,3,5,1]=>[{1,6},{3},{4},{2},{5}]=>[1,6,3,4,2,5]
[1,4,2,5,1,3]=>[{1,5},{3},{6},{2},{4}]=>[1,5,3,6,2,4]
[1,4,2,5,3,1]=>[{1,6},{3},{5},{2},{4}]=>[1,6,3,5,2,4]
[1,4,3,1,2,5]=>[{1,4},{5},{3},{2},{6}]=>[1,4,5,3,2,6]
[1,4,3,1,5,2]=>[{1,4},{6},{3},{2},{5}]=>[1,4,6,3,2,5]
[1,4,3,2,1,5]=>[{1,5},{4},{3},{2},{6}]=>[1,5,4,3,2,6]
[1,4,3,2,5,1]=>[{1,6},{4},{3},{2},{5}]=>[1,6,4,3,2,5]
[1,4,3,5,1,2]=>[{1,5},{6},{3},{2},{4}]=>[1,5,6,3,2,4]
[1,4,3,5,2,1]=>[{1,6},{5},{3},{2},{4}]=>[1,6,5,3,2,4]
[1,4,5,1,2,3]=>[{1,4},{5},{6},{2},{3}]=>[1,4,5,6,2,3]
[1,4,5,1,3,2]=>[{1,4},{6},{5},{2},{3}]=>[1,4,6,5,2,3]
[1,4,5,2,1,3]=>[{1,5},{4},{6},{2},{3}]=>[1,5,4,6,2,3]
[1,4,5,2,3,1]=>[{1,6},{4},{5},{2},{3}]=>[1,6,4,5,2,3]
[1,4,5,3,1,2]=>[{1,5},{6},{4},{2},{3}]=>[1,5,6,4,2,3]
[1,4,5,3,2,1]=>[{1,6},{5},{4},{2},{3}]=>[1,6,5,4,2,3]
[1,5,1,2,3,4]=>[{1,3},{4},{5},{6},{2}]=>[1,3,4,5,6,2]
[1,5,1,2,4,3]=>[{1,3},{4},{6},{5},{2}]=>[1,3,4,6,5,2]
[1,5,1,3,2,4]=>[{1,3},{5},{4},{6},{2}]=>[1,3,5,4,6,2]
[1,5,1,3,4,2]=>[{1,3},{6},{4},{5},{2}]=>[1,3,6,4,5,2]
[1,5,1,4,2,3]=>[{1,3},{5},{6},{4},{2}]=>[1,3,5,6,4,2]
[1,5,1,4,3,2]=>[{1,3},{6},{5},{4},{2}]=>[1,3,6,5,4,2]
[1,5,2,1,3,4]=>[{1,4},{3},{5},{6},{2}]=>[1,4,3,5,6,2]
[1,5,2,1,4,3]=>[{1,4},{3},{6},{5},{2}]=>[1,4,3,6,5,2]
[1,5,2,3,1,4]=>[{1,5},{3},{4},{6},{2}]=>[1,5,3,4,6,2]
[1,5,2,3,4,1]=>[{1,6},{3},{4},{5},{2}]=>[1,6,3,4,5,2]
[1,5,2,4,1,3]=>[{1,5},{3},{6},{4},{2}]=>[1,5,3,6,4,2]
[1,5,2,4,3,1]=>[{1,6},{3},{5},{4},{2}]=>[1,6,3,5,4,2]
[1,5,3,1,2,4]=>[{1,4},{5},{3},{6},{2}]=>[1,4,5,3,6,2]
[1,5,3,1,4,2]=>[{1,4},{6},{3},{5},{2}]=>[1,4,6,3,5,2]
[1,5,3,2,1,4]=>[{1,5},{4},{3},{6},{2}]=>[1,5,4,3,6,2]
[1,5,3,2,4,1]=>[{1,6},{4},{3},{5},{2}]=>[1,6,4,3,5,2]
[1,5,3,4,1,2]=>[{1,5},{6},{3},{4},{2}]=>[1,5,6,3,4,2]
[1,5,3,4,2,1]=>[{1,6},{5},{3},{4},{2}]=>[1,6,5,3,4,2]
[1,5,4,1,2,3]=>[{1,4},{5},{6},{3},{2}]=>[1,4,5,6,3,2]
[1,5,4,1,3,2]=>[{1,4},{6},{5},{3},{2}]=>[1,4,6,5,3,2]
[1,5,4,2,1,3]=>[{1,5},{4},{6},{3},{2}]=>[1,5,4,6,3,2]
[1,5,4,2,3,1]=>[{1,6},{4},{5},{3},{2}]=>[1,6,4,5,3,2]
[1,5,4,3,1,2]=>[{1,5},{6},{4},{3},{2}]=>[1,5,6,4,3,2]
[1,5,4,3,2,1]=>[{1,6},{5},{4},{3},{2}]=>[1,6,5,4,3,2]
[2,1,1,3,4,5]=>[{2,3},{1},{4},{5},{6}]=>[2,3,1,4,5,6]
[2,1,1,3,5,4]=>[{2,3},{1},{4},{6},{5}]=>[2,3,1,4,6,5]
[2,1,1,4,3,5]=>[{2,3},{1},{5},{4},{6}]=>[2,3,1,5,4,6]
[2,1,1,4,5,3]=>[{2,3},{1},{6},{4},{5}]=>[2,3,1,6,4,5]
[2,1,1,5,3,4]=>[{2,3},{1},{5},{6},{4}]=>[2,3,1,5,6,4]
[2,1,1,5,4,3]=>[{2,3},{1},{6},{5},{4}]=>[2,3,1,6,5,4]
[2,1,3,1,4,5]=>[{2,4},{1},{3},{5},{6}]=>[2,4,1,3,5,6]
[2,1,3,1,5,4]=>[{2,4},{1},{3},{6},{5}]=>[2,4,1,3,6,5]
[2,1,3,4,1,5]=>[{2,5},{1},{3},{4},{6}]=>[2,5,1,3,4,6]
[2,1,3,4,5,1]=>[{2,6},{1},{3},{4},{5}]=>[2,6,1,3,4,5]
[2,1,3,5,1,4]=>[{2,5},{1},{3},{6},{4}]=>[2,5,1,3,6,4]
[2,1,3,5,4,1]=>[{2,6},{1},{3},{5},{4}]=>[2,6,1,3,5,4]
[2,1,4,1,3,5]=>[{2,4},{1},{5},{3},{6}]=>[2,4,1,5,3,6]
[2,1,4,1,5,3]=>[{2,4},{1},{6},{3},{5}]=>[2,4,1,6,3,5]
[2,1,4,3,1,5]=>[{2,5},{1},{4},{3},{6}]=>[2,5,1,4,3,6]
[2,1,4,3,5,1]=>[{2,6},{1},{4},{3},{5}]=>[2,6,1,4,3,5]
[2,1,4,5,1,3]=>[{2,5},{1},{6},{3},{4}]=>[2,5,1,6,3,4]
[2,1,4,5,3,1]=>[{2,6},{1},{5},{3},{4}]=>[2,6,1,5,3,4]
[2,1,5,1,3,4]=>[{2,4},{1},{5},{6},{3}]=>[2,4,1,5,6,3]
[2,1,5,1,4,3]=>[{2,4},{1},{6},{5},{3}]=>[2,4,1,6,5,3]
[2,1,5,3,1,4]=>[{2,5},{1},{4},{6},{3}]=>[2,5,1,4,6,3]
[2,1,5,3,4,1]=>[{2,6},{1},{4},{5},{3}]=>[2,6,1,4,5,3]
[2,1,5,4,1,3]=>[{2,5},{1},{6},{4},{3}]=>[2,5,1,6,4,3]
[2,1,5,4,3,1]=>[{2,6},{1},{5},{4},{3}]=>[2,6,1,5,4,3]
[2,3,1,1,4,5]=>[{3,4},{1},{2},{5},{6}]=>[3,4,1,2,5,6]
[2,3,1,1,5,4]=>[{3,4},{1},{2},{6},{5}]=>[3,4,1,2,6,5]
[2,3,1,4,1,5]=>[{3,5},{1},{2},{4},{6}]=>[3,5,1,2,4,6]
[2,3,1,4,5,1]=>[{3,6},{1},{2},{4},{5}]=>[3,6,1,2,4,5]
[2,3,1,5,1,4]=>[{3,5},{1},{2},{6},{4}]=>[3,5,1,2,6,4]
[2,3,1,5,4,1]=>[{3,6},{1},{2},{5},{4}]=>[3,6,1,2,5,4]
[2,3,4,1,1,5]=>[{4,5},{1},{2},{3},{6}]=>[4,5,1,2,3,6]
[2,3,4,1,5,1]=>[{4,6},{1},{2},{3},{5}]=>[4,6,1,2,3,5]
[2,3,4,5,1,1]=>[{5,6},{1},{2},{3},{4}]=>[5,6,1,2,3,4]
[2,3,5,1,1,4]=>[{4,5},{1},{2},{6},{3}]=>[4,5,1,2,6,3]
[2,3,5,1,4,1]=>[{4,6},{1},{2},{5},{3}]=>[4,6,1,2,5,3]
[2,3,5,4,1,1]=>[{5,6},{1},{2},{4},{3}]=>[5,6,1,2,4,3]
[2,4,1,1,3,5]=>[{3,4},{1},{5},{2},{6}]=>[3,4,1,5,2,6]
[2,4,1,1,5,3]=>[{3,4},{1},{6},{2},{5}]=>[3,4,1,6,2,5]
[2,4,1,3,1,5]=>[{3,5},{1},{4},{2},{6}]=>[3,5,1,4,2,6]
[2,4,1,3,5,1]=>[{3,6},{1},{4},{2},{5}]=>[3,6,1,4,2,5]
[2,4,1,5,1,3]=>[{3,5},{1},{6},{2},{4}]=>[3,5,1,6,2,4]
[2,4,1,5,3,1]=>[{3,6},{1},{5},{2},{4}]=>[3,6,1,5,2,4]
[2,4,3,1,1,5]=>[{4,5},{1},{3},{2},{6}]=>[4,5,1,3,2,6]
[2,4,3,1,5,1]=>[{4,6},{1},{3},{2},{5}]=>[4,6,1,3,2,5]
[2,4,3,5,1,1]=>[{5,6},{1},{3},{2},{4}]=>[5,6,1,3,2,4]
[2,4,5,1,1,3]=>[{4,5},{1},{6},{2},{3}]=>[4,5,1,6,2,3]
[2,4,5,1,3,1]=>[{4,6},{1},{5},{2},{3}]=>[4,6,1,5,2,3]
[2,4,5,3,1,1]=>[{5,6},{1},{4},{2},{3}]=>[5,6,1,4,2,3]
[2,5,1,1,3,4]=>[{3,4},{1},{5},{6},{2}]=>[3,4,1,5,6,2]
[2,5,1,1,4,3]=>[{3,4},{1},{6},{5},{2}]=>[3,4,1,6,5,2]
[2,5,1,3,1,4]=>[{3,5},{1},{4},{6},{2}]=>[3,5,1,4,6,2]
[2,5,1,3,4,1]=>[{3,6},{1},{4},{5},{2}]=>[3,6,1,4,5,2]
[2,5,1,4,1,3]=>[{3,5},{1},{6},{4},{2}]=>[3,5,1,6,4,2]
[2,5,1,4,3,1]=>[{3,6},{1},{5},{4},{2}]=>[3,6,1,5,4,2]
[2,5,3,1,1,4]=>[{4,5},{1},{3},{6},{2}]=>[4,5,1,3,6,2]
[2,5,3,1,4,1]=>[{4,6},{1},{3},{5},{2}]=>[4,6,1,3,5,2]
[2,5,3,4,1,1]=>[{5,6},{1},{3},{4},{2}]=>[5,6,1,3,4,2]
[2,5,4,1,1,3]=>[{4,5},{1},{6},{3},{2}]=>[4,5,1,6,3,2]
[2,5,4,1,3,1]=>[{4,6},{1},{5},{3},{2}]=>[4,6,1,5,3,2]
[2,5,4,3,1,1]=>[{5,6},{1},{4},{3},{2}]=>[5,6,1,4,3,2]
[3,1,1,2,4,5]=>[{2,3},{4},{1},{5},{6}]=>[2,3,4,1,5,6]
[3,1,1,2,5,4]=>[{2,3},{4},{1},{6},{5}]=>[2,3,4,1,6,5]
[3,1,1,4,2,5]=>[{2,3},{5},{1},{4},{6}]=>[2,3,5,1,4,6]
[3,1,1,4,5,2]=>[{2,3},{6},{1},{4},{5}]=>[2,3,6,1,4,5]
[3,1,1,5,2,4]=>[{2,3},{5},{1},{6},{4}]=>[2,3,5,1,6,4]
[3,1,1,5,4,2]=>[{2,3},{6},{1},{5},{4}]=>[2,3,6,1,5,4]
[3,1,2,1,4,5]=>[{2,4},{3},{1},{5},{6}]=>[2,4,3,1,5,6]
[3,1,2,1,5,4]=>[{2,4},{3},{1},{6},{5}]=>[2,4,3,1,6,5]
[3,1,2,4,1,5]=>[{2,5},{3},{1},{4},{6}]=>[2,5,3,1,4,6]
[3,1,2,4,5,1]=>[{2,6},{3},{1},{4},{5}]=>[2,6,3,1,4,5]
[3,1,2,5,1,4]=>[{2,5},{3},{1},{6},{4}]=>[2,5,3,1,6,4]
[3,1,2,5,4,1]=>[{2,6},{3},{1},{5},{4}]=>[2,6,3,1,5,4]
[3,1,4,1,2,5]=>[{2,4},{5},{1},{3},{6}]=>[2,4,5,1,3,6]
[3,1,4,1,5,2]=>[{2,4},{6},{1},{3},{5}]=>[2,4,6,1,3,5]
[3,1,4,2,1,5]=>[{2,5},{4},{1},{3},{6}]=>[2,5,4,1,3,6]
[3,1,4,2,5,1]=>[{2,6},{4},{1},{3},{5}]=>[2,6,4,1,3,5]
[3,1,4,5,1,2]=>[{2,5},{6},{1},{3},{4}]=>[2,5,6,1,3,4]
[3,1,4,5,2,1]=>[{2,6},{5},{1},{3},{4}]=>[2,6,5,1,3,4]
[3,1,5,1,2,4]=>[{2,4},{5},{1},{6},{3}]=>[2,4,5,1,6,3]
[3,1,5,1,4,2]=>[{2,4},{6},{1},{5},{3}]=>[2,4,6,1,5,3]
[3,1,5,2,1,4]=>[{2,5},{4},{1},{6},{3}]=>[2,5,4,1,6,3]
[3,1,5,2,4,1]=>[{2,6},{4},{1},{5},{3}]=>[2,6,4,1,5,3]
[3,1,5,4,1,2]=>[{2,5},{6},{1},{4},{3}]=>[2,5,6,1,4,3]
[3,1,5,4,2,1]=>[{2,6},{5},{1},{4},{3}]=>[2,6,5,1,4,3]
[3,2,1,1,4,5]=>[{3,4},{2},{1},{5},{6}]=>[3,4,2,1,5,6]
[3,2,1,1,5,4]=>[{3,4},{2},{1},{6},{5}]=>[3,4,2,1,6,5]
[3,2,1,4,1,5]=>[{3,5},{2},{1},{4},{6}]=>[3,5,2,1,4,6]
[3,2,1,4,5,1]=>[{3,6},{2},{1},{4},{5}]=>[3,6,2,1,4,5]
[3,2,1,5,1,4]=>[{3,5},{2},{1},{6},{4}]=>[3,5,2,1,6,4]
[3,2,1,5,4,1]=>[{3,6},{2},{1},{5},{4}]=>[3,6,2,1,5,4]
[3,2,4,1,1,5]=>[{4,5},{2},{1},{3},{6}]=>[4,5,2,1,3,6]
[3,2,4,1,5,1]=>[{4,6},{2},{1},{3},{5}]=>[4,6,2,1,3,5]
[3,2,4,5,1,1]=>[{5,6},{2},{1},{3},{4}]=>[5,6,2,1,3,4]
[3,2,5,1,1,4]=>[{4,5},{2},{1},{6},{3}]=>[4,5,2,1,6,3]
[3,2,5,1,4,1]=>[{4,6},{2},{1},{5},{3}]=>[4,6,2,1,5,3]
[3,2,5,4,1,1]=>[{5,6},{2},{1},{4},{3}]=>[5,6,2,1,4,3]
[3,4,1,1,2,5]=>[{3,4},{5},{1},{2},{6}]=>[3,4,5,1,2,6]
[3,4,1,1,5,2]=>[{3,4},{6},{1},{2},{5}]=>[3,4,6,1,2,5]
[3,4,1,2,1,5]=>[{3,5},{4},{1},{2},{6}]=>[3,5,4,1,2,6]
[3,4,1,2,5,1]=>[{3,6},{4},{1},{2},{5}]=>[3,6,4,1,2,5]
[3,4,1,5,1,2]=>[{3,5},{6},{1},{2},{4}]=>[3,5,6,1,2,4]
[3,4,1,5,2,1]=>[{3,6},{5},{1},{2},{4}]=>[3,6,5,1,2,4]
[3,4,2,1,1,5]=>[{4,5},{3},{1},{2},{6}]=>[4,5,3,1,2,6]
[3,4,2,1,5,1]=>[{4,6},{3},{1},{2},{5}]=>[4,6,3,1,2,5]
[3,4,2,5,1,1]=>[{5,6},{3},{1},{2},{4}]=>[5,6,3,1,2,4]
[3,4,5,1,1,2]=>[{4,5},{6},{1},{2},{3}]=>[4,5,6,1,2,3]
[3,4,5,1,2,1]=>[{4,6},{5},{1},{2},{3}]=>[4,6,5,1,2,3]
[3,4,5,2,1,1]=>[{5,6},{4},{1},{2},{3}]=>[5,6,4,1,2,3]
[3,5,1,1,2,4]=>[{3,4},{5},{1},{6},{2}]=>[3,4,5,1,6,2]
[3,5,1,1,4,2]=>[{3,4},{6},{1},{5},{2}]=>[3,4,6,1,5,2]
[3,5,1,2,1,4]=>[{3,5},{4},{1},{6},{2}]=>[3,5,4,1,6,2]
[3,5,1,2,4,1]=>[{3,6},{4},{1},{5},{2}]=>[3,6,4,1,5,2]
[3,5,1,4,1,2]=>[{3,5},{6},{1},{4},{2}]=>[3,5,6,1,4,2]
[3,5,1,4,2,1]=>[{3,6},{5},{1},{4},{2}]=>[3,6,5,1,4,2]
[3,5,2,1,1,4]=>[{4,5},{3},{1},{6},{2}]=>[4,5,3,1,6,2]
[3,5,2,1,4,1]=>[{4,6},{3},{1},{5},{2}]=>[4,6,3,1,5,2]
[3,5,2,4,1,1]=>[{5,6},{3},{1},{4},{2}]=>[5,6,3,1,4,2]
[3,5,4,1,1,2]=>[{4,5},{6},{1},{3},{2}]=>[4,5,6,1,3,2]
[3,5,4,1,2,1]=>[{4,6},{5},{1},{3},{2}]=>[4,6,5,1,3,2]
[3,5,4,2,1,1]=>[{5,6},{4},{1},{3},{2}]=>[5,6,4,1,3,2]
[4,1,1,2,3,5]=>[{2,3},{4},{5},{1},{6}]=>[2,3,4,5,1,6]
[4,1,1,2,5,3]=>[{2,3},{4},{6},{1},{5}]=>[2,3,4,6,1,5]
[4,1,1,3,2,5]=>[{2,3},{5},{4},{1},{6}]=>[2,3,5,4,1,6]
[4,1,1,3,5,2]=>[{2,3},{6},{4},{1},{5}]=>[2,3,6,4,1,5]
[4,1,1,5,2,3]=>[{2,3},{5},{6},{1},{4}]=>[2,3,5,6,1,4]
[4,1,1,5,3,2]=>[{2,3},{6},{5},{1},{4}]=>[2,3,6,5,1,4]
[4,1,2,1,3,5]=>[{2,4},{3},{5},{1},{6}]=>[2,4,3,5,1,6]
[4,1,2,1,5,3]=>[{2,4},{3},{6},{1},{5}]=>[2,4,3,6,1,5]
[4,1,2,3,1,5]=>[{2,5},{3},{4},{1},{6}]=>[2,5,3,4,1,6]
[4,1,2,3,5,1]=>[{2,6},{3},{4},{1},{5}]=>[2,6,3,4,1,5]
[4,1,2,5,1,3]=>[{2,5},{3},{6},{1},{4}]=>[2,5,3,6,1,4]
[4,1,2,5,3,1]=>[{2,6},{3},{5},{1},{4}]=>[2,6,3,5,1,4]
[4,1,3,1,2,5]=>[{2,4},{5},{3},{1},{6}]=>[2,4,5,3,1,6]
[4,1,3,1,5,2]=>[{2,4},{6},{3},{1},{5}]=>[2,4,6,3,1,5]
[4,1,3,2,1,5]=>[{2,5},{4},{3},{1},{6}]=>[2,5,4,3,1,6]
[4,1,3,2,5,1]=>[{2,6},{4},{3},{1},{5}]=>[2,6,4,3,1,5]
[4,1,3,5,1,2]=>[{2,5},{6},{3},{1},{4}]=>[2,5,6,3,1,4]
[4,1,3,5,2,1]=>[{2,6},{5},{3},{1},{4}]=>[2,6,5,3,1,4]
[4,1,5,1,2,3]=>[{2,4},{5},{6},{1},{3}]=>[2,4,5,6,1,3]
[4,1,5,1,3,2]=>[{2,4},{6},{5},{1},{3}]=>[2,4,6,5,1,3]
[4,1,5,2,1,3]=>[{2,5},{4},{6},{1},{3}]=>[2,5,4,6,1,3]
[4,1,5,2,3,1]=>[{2,6},{4},{5},{1},{3}]=>[2,6,4,5,1,3]
[4,1,5,3,1,2]=>[{2,5},{6},{4},{1},{3}]=>[2,5,6,4,1,3]
[4,1,5,3,2,1]=>[{2,6},{5},{4},{1},{3}]=>[2,6,5,4,1,3]
[4,2,1,1,3,5]=>[{3,4},{2},{5},{1},{6}]=>[3,4,2,5,1,6]
[4,2,1,1,5,3]=>[{3,4},{2},{6},{1},{5}]=>[3,4,2,6,1,5]
[4,2,1,3,1,5]=>[{3,5},{2},{4},{1},{6}]=>[3,5,2,4,1,6]
[4,2,1,3,5,1]=>[{3,6},{2},{4},{1},{5}]=>[3,6,2,4,1,5]
[4,2,1,5,1,3]=>[{3,5},{2},{6},{1},{4}]=>[3,5,2,6,1,4]
[4,2,1,5,3,1]=>[{3,6},{2},{5},{1},{4}]=>[3,6,2,5,1,4]
[4,2,3,1,1,5]=>[{4,5},{2},{3},{1},{6}]=>[4,5,2,3,1,6]
[4,2,3,1,5,1]=>[{4,6},{2},{3},{1},{5}]=>[4,6,2,3,1,5]
[4,2,3,5,1,1]=>[{5,6},{2},{3},{1},{4}]=>[5,6,2,3,1,4]
[4,2,5,1,1,3]=>[{4,5},{2},{6},{1},{3}]=>[4,5,2,6,1,3]
[4,2,5,1,3,1]=>[{4,6},{2},{5},{1},{3}]=>[4,6,2,5,1,3]
[4,2,5,3,1,1]=>[{5,6},{2},{4},{1},{3}]=>[5,6,2,4,1,3]
[4,3,1,1,2,5]=>[{3,4},{5},{2},{1},{6}]=>[3,4,5,2,1,6]
[4,3,1,1,5,2]=>[{3,4},{6},{2},{1},{5}]=>[3,4,6,2,1,5]
[4,3,1,2,1,5]=>[{3,5},{4},{2},{1},{6}]=>[3,5,4,2,1,6]
[4,3,1,2,5,1]=>[{3,6},{4},{2},{1},{5}]=>[3,6,4,2,1,5]
[4,3,1,5,1,2]=>[{3,5},{6},{2},{1},{4}]=>[3,5,6,2,1,4]
[4,3,1,5,2,1]=>[{3,6},{5},{2},{1},{4}]=>[3,6,5,2,1,4]
[4,3,2,1,1,5]=>[{4,5},{3},{2},{1},{6}]=>[4,5,3,2,1,6]
[4,3,2,1,5,1]=>[{4,6},{3},{2},{1},{5}]=>[4,6,3,2,1,5]
[4,3,2,5,1,1]=>[{5,6},{3},{2},{1},{4}]=>[5,6,3,2,1,4]
[4,3,5,1,1,2]=>[{4,5},{6},{2},{1},{3}]=>[4,5,6,2,1,3]
[4,3,5,1,2,1]=>[{4,6},{5},{2},{1},{3}]=>[4,6,5,2,1,3]
[4,3,5,2,1,1]=>[{5,6},{4},{2},{1},{3}]=>[5,6,4,2,1,3]
[4,5,1,1,2,3]=>[{3,4},{5},{6},{1},{2}]=>[3,4,5,6,1,2]
[4,5,1,1,3,2]=>[{3,4},{6},{5},{1},{2}]=>[3,4,6,5,1,2]
[4,5,1,2,1,3]=>[{3,5},{4},{6},{1},{2}]=>[3,5,4,6,1,2]
[4,5,1,2,3,1]=>[{3,6},{4},{5},{1},{2}]=>[3,6,4,5,1,2]
[4,5,1,3,1,2]=>[{3,5},{6},{4},{1},{2}]=>[3,5,6,4,1,2]
[4,5,1,3,2,1]=>[{3,6},{5},{4},{1},{2}]=>[3,6,5,4,1,2]
[4,5,2,1,1,3]=>[{4,5},{3},{6},{1},{2}]=>[4,5,3,6,1,2]
[4,5,2,1,3,1]=>[{4,6},{3},{5},{1},{2}]=>[4,6,3,5,1,2]
[4,5,2,3,1,1]=>[{5,6},{3},{4},{1},{2}]=>[5,6,3,4,1,2]
[4,5,3,1,1,2]=>[{4,5},{6},{3},{1},{2}]=>[4,5,6,3,1,2]
[4,5,3,1,2,1]=>[{4,6},{5},{3},{1},{2}]=>[4,6,5,3,1,2]
[4,5,3,2,1,1]=>[{5,6},{4},{3},{1},{2}]=>[5,6,4,3,1,2]
[5,1,1,2,3,4]=>[{2,3},{4},{5},{6},{1}]=>[2,3,4,5,6,1]
[5,1,1,2,4,3]=>[{2,3},{4},{6},{5},{1}]=>[2,3,4,6,5,1]
[5,1,1,3,2,4]=>[{2,3},{5},{4},{6},{1}]=>[2,3,5,4,6,1]
[5,1,1,3,4,2]=>[{2,3},{6},{4},{5},{1}]=>[2,3,6,4,5,1]
[5,1,1,4,2,3]=>[{2,3},{5},{6},{4},{1}]=>[2,3,5,6,4,1]
[5,1,1,4,3,2]=>[{2,3},{6},{5},{4},{1}]=>[2,3,6,5,4,1]
[5,1,2,1,3,4]=>[{2,4},{3},{5},{6},{1}]=>[2,4,3,5,6,1]
[5,1,2,1,4,3]=>[{2,4},{3},{6},{5},{1}]=>[2,4,3,6,5,1]
[5,1,2,3,1,4]=>[{2,5},{3},{4},{6},{1}]=>[2,5,3,4,6,1]
[5,1,2,3,4,1]=>[{2,6},{3},{4},{5},{1}]=>[2,6,3,4,5,1]
[5,1,2,4,1,3]=>[{2,5},{3},{6},{4},{1}]=>[2,5,3,6,4,1]
[5,1,2,4,3,1]=>[{2,6},{3},{5},{4},{1}]=>[2,6,3,5,4,1]
[5,1,3,1,2,4]=>[{2,4},{5},{3},{6},{1}]=>[2,4,5,3,6,1]
[5,1,3,1,4,2]=>[{2,4},{6},{3},{5},{1}]=>[2,4,6,3,5,1]
[5,1,3,2,1,4]=>[{2,5},{4},{3},{6},{1}]=>[2,5,4,3,6,1]
[5,1,3,2,4,1]=>[{2,6},{4},{3},{5},{1}]=>[2,6,4,3,5,1]
[5,1,3,4,1,2]=>[{2,5},{6},{3},{4},{1}]=>[2,5,6,3,4,1]
[5,1,3,4,2,1]=>[{2,6},{5},{3},{4},{1}]=>[2,6,5,3,4,1]
[5,1,4,1,2,3]=>[{2,4},{5},{6},{3},{1}]=>[2,4,5,6,3,1]
[5,1,4,1,3,2]=>[{2,4},{6},{5},{3},{1}]=>[2,4,6,5,3,1]
[5,1,4,2,1,3]=>[{2,5},{4},{6},{3},{1}]=>[2,5,4,6,3,1]
[5,1,4,2,3,1]=>[{2,6},{4},{5},{3},{1}]=>[2,6,4,5,3,1]
[5,1,4,3,1,2]=>[{2,5},{6},{4},{3},{1}]=>[2,5,6,4,3,1]
[5,1,4,3,2,1]=>[{2,6},{5},{4},{3},{1}]=>[2,6,5,4,3,1]
[5,2,1,1,3,4]=>[{3,4},{2},{5},{6},{1}]=>[3,4,2,5,6,1]
[5,2,1,1,4,3]=>[{3,4},{2},{6},{5},{1}]=>[3,4,2,6,5,1]
[5,2,1,3,1,4]=>[{3,5},{2},{4},{6},{1}]=>[3,5,2,4,6,1]
[5,2,1,3,4,1]=>[{3,6},{2},{4},{5},{1}]=>[3,6,2,4,5,1]
[5,2,1,4,1,3]=>[{3,5},{2},{6},{4},{1}]=>[3,5,2,6,4,1]
[5,2,1,4,3,1]=>[{3,6},{2},{5},{4},{1}]=>[3,6,2,5,4,1]
[5,2,3,1,1,4]=>[{4,5},{2},{3},{6},{1}]=>[4,5,2,3,6,1]
[5,2,3,1,4,1]=>[{4,6},{2},{3},{5},{1}]=>[4,6,2,3,5,1]
[5,2,3,4,1,1]=>[{5,6},{2},{3},{4},{1}]=>[5,6,2,3,4,1]
[5,2,4,1,1,3]=>[{4,5},{2},{6},{3},{1}]=>[4,5,2,6,3,1]
[5,2,4,1,3,1]=>[{4,6},{2},{5},{3},{1}]=>[4,6,2,5,3,1]
[5,2,4,3,1,1]=>[{5,6},{2},{4},{3},{1}]=>[5,6,2,4,3,1]
[5,3,1,1,2,4]=>[{3,4},{5},{2},{6},{1}]=>[3,4,5,2,6,1]
[5,3,1,1,4,2]=>[{3,4},{6},{2},{5},{1}]=>[3,4,6,2,5,1]
[5,3,1,2,1,4]=>[{3,5},{4},{2},{6},{1}]=>[3,5,4,2,6,1]
[5,3,1,2,4,1]=>[{3,6},{4},{2},{5},{1}]=>[3,6,4,2,5,1]
[5,3,1,4,1,2]=>[{3,5},{6},{2},{4},{1}]=>[3,5,6,2,4,1]
[5,3,1,4,2,1]=>[{3,6},{5},{2},{4},{1}]=>[3,6,5,2,4,1]
[5,3,2,1,1,4]=>[{4,5},{3},{2},{6},{1}]=>[4,5,3,2,6,1]
[5,3,2,1,4,1]=>[{4,6},{3},{2},{5},{1}]=>[4,6,3,2,5,1]
[5,3,2,4,1,1]=>[{5,6},{3},{2},{4},{1}]=>[5,6,3,2,4,1]
[5,3,4,1,1,2]=>[{4,5},{6},{2},{3},{1}]=>[4,5,6,2,3,1]
[5,3,4,1,2,1]=>[{4,6},{5},{2},{3},{1}]=>[4,6,5,2,3,1]
[5,3,4,2,1,1]=>[{5,6},{4},{2},{3},{1}]=>[5,6,4,2,3,1]
[5,4,1,1,2,3]=>[{3,4},{5},{6},{2},{1}]=>[3,4,5,6,2,1]
[5,4,1,1,3,2]=>[{3,4},{6},{5},{2},{1}]=>[3,4,6,5,2,1]
[5,4,1,2,1,3]=>[{3,5},{4},{6},{2},{1}]=>[3,5,4,6,2,1]
[5,4,1,2,3,1]=>[{3,6},{4},{5},{2},{1}]=>[3,6,4,5,2,1]
[5,4,1,3,1,2]=>[{3,5},{6},{4},{2},{1}]=>[3,5,6,4,2,1]
[5,4,1,3,2,1]=>[{3,6},{5},{4},{2},{1}]=>[3,6,5,4,2,1]
[5,4,2,1,1,3]=>[{4,5},{3},{6},{2},{1}]=>[4,5,3,6,2,1]
[5,4,2,1,3,1]=>[{4,6},{3},{5},{2},{1}]=>[4,6,3,5,2,1]
[5,4,2,3,1,1]=>[{5,6},{3},{4},{2},{1}]=>[5,6,3,4,2,1]
[5,4,3,1,1,2]=>[{4,5},{6},{3},{2},{1}]=>[4,5,6,3,2,1]
[5,4,3,1,2,1]=>[{4,6},{5},{3},{2},{1}]=>[4,6,5,3,2,1]
[5,4,3,2,1,1]=>[{5,6},{4},{3},{2},{1}]=>[5,6,4,3,2,1]
[1,1,2,3,4,6]=>[{1,2},{3},{4},{5},{6}]=>[1,2,3,4,5,6]
[1,1,2,3,6,4]=>[{1,2},{3},{4},{6},{5}]=>[1,2,3,4,6,5]
[1,1,2,4,3,6]=>[{1,2},{3},{5},{4},{6}]=>[1,2,3,5,4,6]
[1,1,2,4,6,3]=>[{1,2},{3},{6},{4},{5}]=>[1,2,3,6,4,5]
[1,1,2,6,3,4]=>[{1,2},{3},{5},{6},{4}]=>[1,2,3,5,6,4]
[1,1,2,6,4,3]=>[{1,2},{3},{6},{5},{4}]=>[1,2,3,6,5,4]
[1,1,3,2,4,6]=>[{1,2},{4},{3},{5},{6}]=>[1,2,4,3,5,6]
[1,1,3,2,6,4]=>[{1,2},{4},{3},{6},{5}]=>[1,2,4,3,6,5]
[1,1,3,4,2,6]=>[{1,2},{5},{3},{4},{6}]=>[1,2,5,3,4,6]
[1,1,3,4,6,2]=>[{1,2},{6},{3},{4},{5}]=>[1,2,6,3,4,5]
[1,1,3,6,2,4]=>[{1,2},{5},{3},{6},{4}]=>[1,2,5,3,6,4]
[1,1,3,6,4,2]=>[{1,2},{6},{3},{5},{4}]=>[1,2,6,3,5,4]
[1,1,4,2,3,6]=>[{1,2},{4},{5},{3},{6}]=>[1,2,4,5,3,6]
[1,1,4,2,6,3]=>[{1,2},{4},{6},{3},{5}]=>[1,2,4,6,3,5]
[1,1,4,3,2,6]=>[{1,2},{5},{4},{3},{6}]=>[1,2,5,4,3,6]
[1,1,4,3,6,2]=>[{1,2},{6},{4},{3},{5}]=>[1,2,6,4,3,5]
[1,1,4,6,2,3]=>[{1,2},{5},{6},{3},{4}]=>[1,2,5,6,3,4]
[1,1,4,6,3,2]=>[{1,2},{6},{5},{3},{4}]=>[1,2,6,5,3,4]
[1,1,6,2,3,4]=>[{1,2},{4},{5},{6},{3}]=>[1,2,4,5,6,3]
[1,1,6,2,4,3]=>[{1,2},{4},{6},{5},{3}]=>[1,2,4,6,5,3]
[1,1,6,3,2,4]=>[{1,2},{5},{4},{6},{3}]=>[1,2,5,4,6,3]
[1,1,6,3,4,2]=>[{1,2},{6},{4},{5},{3}]=>[1,2,6,4,5,3]
[1,1,6,4,2,3]=>[{1,2},{5},{6},{4},{3}]=>[1,2,5,6,4,3]
[1,1,6,4,3,2]=>[{1,2},{6},{5},{4},{3}]=>[1,2,6,5,4,3]
[1,2,1,3,4,6]=>[{1,3},{2},{4},{5},{6}]=>[1,3,2,4,5,6]
[1,2,1,3,6,4]=>[{1,3},{2},{4},{6},{5}]=>[1,3,2,4,6,5]
[1,2,1,4,3,6]=>[{1,3},{2},{5},{4},{6}]=>[1,3,2,5,4,6]
[1,2,1,4,6,3]=>[{1,3},{2},{6},{4},{5}]=>[1,3,2,6,4,5]
[1,2,1,6,3,4]=>[{1,3},{2},{5},{6},{4}]=>[1,3,2,5,6,4]
[1,2,1,6,4,3]=>[{1,3},{2},{6},{5},{4}]=>[1,3,2,6,5,4]
[1,2,3,1,4,6]=>[{1,4},{2},{3},{5},{6}]=>[1,4,2,3,5,6]
[1,2,3,1,6,4]=>[{1,4},{2},{3},{6},{5}]=>[1,4,2,3,6,5]
[1,2,3,4,1,6]=>[{1,5},{2},{3},{4},{6}]=>[1,5,2,3,4,6]
[1,2,3,4,6,1]=>[{1,6},{2},{3},{4},{5}]=>[1,6,2,3,4,5]
[1,2,3,6,1,4]=>[{1,5},{2},{3},{6},{4}]=>[1,5,2,3,6,4]
[1,2,3,6,4,1]=>[{1,6},{2},{3},{5},{4}]=>[1,6,2,3,5,4]
[1,2,4,1,3,6]=>[{1,4},{2},{5},{3},{6}]=>[1,4,2,5,3,6]
[1,2,4,1,6,3]=>[{1,4},{2},{6},{3},{5}]=>[1,4,2,6,3,5]
[1,2,4,3,1,6]=>[{1,5},{2},{4},{3},{6}]=>[1,5,2,4,3,6]
[1,2,4,3,6,1]=>[{1,6},{2},{4},{3},{5}]=>[1,6,2,4,3,5]
[1,2,4,6,1,3]=>[{1,5},{2},{6},{3},{4}]=>[1,5,2,6,3,4]
[1,2,4,6,3,1]=>[{1,6},{2},{5},{3},{4}]=>[1,6,2,5,3,4]
[1,2,6,1,3,4]=>[{1,4},{2},{5},{6},{3}]=>[1,4,2,5,6,3]
[1,2,6,1,4,3]=>[{1,4},{2},{6},{5},{3}]=>[1,4,2,6,5,3]
[1,2,6,3,1,4]=>[{1,5},{2},{4},{6},{3}]=>[1,5,2,4,6,3]
[1,2,6,3,4,1]=>[{1,6},{2},{4},{5},{3}]=>[1,6,2,4,5,3]
[1,2,6,4,1,3]=>[{1,5},{2},{6},{4},{3}]=>[1,5,2,6,4,3]
[1,2,6,4,3,1]=>[{1,6},{2},{5},{4},{3}]=>[1,6,2,5,4,3]
[1,3,1,2,4,6]=>[{1,3},{4},{2},{5},{6}]=>[1,3,4,2,5,6]
[1,3,1,2,6,4]=>[{1,3},{4},{2},{6},{5}]=>[1,3,4,2,6,5]
[1,3,1,4,2,6]=>[{1,3},{5},{2},{4},{6}]=>[1,3,5,2,4,6]
[1,3,1,4,6,2]=>[{1,3},{6},{2},{4},{5}]=>[1,3,6,2,4,5]
[1,3,1,6,2,4]=>[{1,3},{5},{2},{6},{4}]=>[1,3,5,2,6,4]
[1,3,1,6,4,2]=>[{1,3},{6},{2},{5},{4}]=>[1,3,6,2,5,4]
[1,3,2,1,4,6]=>[{1,4},{3},{2},{5},{6}]=>[1,4,3,2,5,6]
[1,3,2,1,6,4]=>[{1,4},{3},{2},{6},{5}]=>[1,4,3,2,6,5]
[1,3,2,4,1,6]=>[{1,5},{3},{2},{4},{6}]=>[1,5,3,2,4,6]
[1,3,2,4,6,1]=>[{1,6},{3},{2},{4},{5}]=>[1,6,3,2,4,5]
[1,3,2,6,1,4]=>[{1,5},{3},{2},{6},{4}]=>[1,5,3,2,6,4]
[1,3,2,6,4,1]=>[{1,6},{3},{2},{5},{4}]=>[1,6,3,2,5,4]
[1,3,4,1,2,6]=>[{1,4},{5},{2},{3},{6}]=>[1,4,5,2,3,6]
[1,3,4,1,6,2]=>[{1,4},{6},{2},{3},{5}]=>[1,4,6,2,3,5]
[1,3,4,2,1,6]=>[{1,5},{4},{2},{3},{6}]=>[1,5,4,2,3,6]
[1,3,4,2,6,1]=>[{1,6},{4},{2},{3},{5}]=>[1,6,4,2,3,5]
[1,3,4,6,1,2]=>[{1,5},{6},{2},{3},{4}]=>[1,5,6,2,3,4]
[1,3,4,6,2,1]=>[{1,6},{5},{2},{3},{4}]=>[1,6,5,2,3,4]
[1,3,6,1,2,4]=>[{1,4},{5},{2},{6},{3}]=>[1,4,5,2,6,3]
[1,3,6,1,4,2]=>[{1,4},{6},{2},{5},{3}]=>[1,4,6,2,5,3]
[1,3,6,2,1,4]=>[{1,5},{4},{2},{6},{3}]=>[1,5,4,2,6,3]
[1,3,6,2,4,1]=>[{1,6},{4},{2},{5},{3}]=>[1,6,4,2,5,3]
[1,3,6,4,1,2]=>[{1,5},{6},{2},{4},{3}]=>[1,5,6,2,4,3]
[1,3,6,4,2,1]=>[{1,6},{5},{2},{4},{3}]=>[1,6,5,2,4,3]
[1,4,1,2,3,6]=>[{1,3},{4},{5},{2},{6}]=>[1,3,4,5,2,6]
[1,4,1,2,6,3]=>[{1,3},{4},{6},{2},{5}]=>[1,3,4,6,2,5]
[1,4,1,3,2,6]=>[{1,3},{5},{4},{2},{6}]=>[1,3,5,4,2,6]
[1,4,1,3,6,2]=>[{1,3},{6},{4},{2},{5}]=>[1,3,6,4,2,5]
[1,4,1,6,2,3]=>[{1,3},{5},{6},{2},{4}]=>[1,3,5,6,2,4]
[1,4,1,6,3,2]=>[{1,3},{6},{5},{2},{4}]=>[1,3,6,5,2,4]
[1,4,2,1,3,6]=>[{1,4},{3},{5},{2},{6}]=>[1,4,3,5,2,6]
[1,4,2,1,6,3]=>[{1,4},{3},{6},{2},{5}]=>[1,4,3,6,2,5]
[1,4,2,3,1,6]=>[{1,5},{3},{4},{2},{6}]=>[1,5,3,4,2,6]
[1,4,2,3,6,1]=>[{1,6},{3},{4},{2},{5}]=>[1,6,3,4,2,5]
[1,4,2,6,1,3]=>[{1,5},{3},{6},{2},{4}]=>[1,5,3,6,2,4]
[1,4,2,6,3,1]=>[{1,6},{3},{5},{2},{4}]=>[1,6,3,5,2,4]
[1,4,3,1,2,6]=>[{1,4},{5},{3},{2},{6}]=>[1,4,5,3,2,6]
[1,4,3,1,6,2]=>[{1,4},{6},{3},{2},{5}]=>[1,4,6,3,2,5]
[1,4,3,2,1,6]=>[{1,5},{4},{3},{2},{6}]=>[1,5,4,3,2,6]
[1,4,3,2,6,1]=>[{1,6},{4},{3},{2},{5}]=>[1,6,4,3,2,5]
[1,4,3,6,1,2]=>[{1,5},{6},{3},{2},{4}]=>[1,5,6,3,2,4]
[1,4,3,6,2,1]=>[{1,6},{5},{3},{2},{4}]=>[1,6,5,3,2,4]
[1,4,6,1,2,3]=>[{1,4},{5},{6},{2},{3}]=>[1,4,5,6,2,3]
[1,4,6,1,3,2]=>[{1,4},{6},{5},{2},{3}]=>[1,4,6,5,2,3]
[1,4,6,2,1,3]=>[{1,5},{4},{6},{2},{3}]=>[1,5,4,6,2,3]
[1,4,6,2,3,1]=>[{1,6},{4},{5},{2},{3}]=>[1,6,4,5,2,3]
[1,4,6,3,1,2]=>[{1,5},{6},{4},{2},{3}]=>[1,5,6,4,2,3]
[1,4,6,3,2,1]=>[{1,6},{5},{4},{2},{3}]=>[1,6,5,4,2,3]
[1,6,1,2,3,4]=>[{1,3},{4},{5},{6},{2}]=>[1,3,4,5,6,2]
[1,6,1,2,4,3]=>[{1,3},{4},{6},{5},{2}]=>[1,3,4,6,5,2]
[1,6,1,3,2,4]=>[{1,3},{5},{4},{6},{2}]=>[1,3,5,4,6,2]
[1,6,1,3,4,2]=>[{1,3},{6},{4},{5},{2}]=>[1,3,6,4,5,2]
[1,6,1,4,2,3]=>[{1,3},{5},{6},{4},{2}]=>[1,3,5,6,4,2]
[1,6,1,4,3,2]=>[{1,3},{6},{5},{4},{2}]=>[1,3,6,5,4,2]
[1,6,2,1,3,4]=>[{1,4},{3},{5},{6},{2}]=>[1,4,3,5,6,2]
[1,6,2,1,4,3]=>[{1,4},{3},{6},{5},{2}]=>[1,4,3,6,5,2]
[1,6,2,3,1,4]=>[{1,5},{3},{4},{6},{2}]=>[1,5,3,4,6,2]
[1,6,2,3,4,1]=>[{1,6},{3},{4},{5},{2}]=>[1,6,3,4,5,2]
[1,6,2,4,1,3]=>[{1,5},{3},{6},{4},{2}]=>[1,5,3,6,4,2]
[1,6,2,4,3,1]=>[{1,6},{3},{5},{4},{2}]=>[1,6,3,5,4,2]
[1,6,3,1,2,4]=>[{1,4},{5},{3},{6},{2}]=>[1,4,5,3,6,2]
[1,6,3,1,4,2]=>[{1,4},{6},{3},{5},{2}]=>[1,4,6,3,5,2]
[1,6,3,2,1,4]=>[{1,5},{4},{3},{6},{2}]=>[1,5,4,3,6,2]
[1,6,3,2,4,1]=>[{1,6},{4},{3},{5},{2}]=>[1,6,4,3,5,2]
[1,6,3,4,1,2]=>[{1,5},{6},{3},{4},{2}]=>[1,5,6,3,4,2]
[1,6,3,4,2,1]=>[{1,6},{5},{3},{4},{2}]=>[1,6,5,3,4,2]
[1,6,4,1,2,3]=>[{1,4},{5},{6},{3},{2}]=>[1,4,5,6,3,2]
[1,6,4,1,3,2]=>[{1,4},{6},{5},{3},{2}]=>[1,4,6,5,3,2]
[1,6,4,2,1,3]=>[{1,5},{4},{6},{3},{2}]=>[1,5,4,6,3,2]
[1,6,4,2,3,1]=>[{1,6},{4},{5},{3},{2}]=>[1,6,4,5,3,2]
[1,6,4,3,1,2]=>[{1,5},{6},{4},{3},{2}]=>[1,5,6,4,3,2]
[1,6,4,3,2,1]=>[{1,6},{5},{4},{3},{2}]=>[1,6,5,4,3,2]
[2,1,1,3,4,6]=>[{2,3},{1},{4},{5},{6}]=>[2,3,1,4,5,6]
[2,1,1,3,6,4]=>[{2,3},{1},{4},{6},{5}]=>[2,3,1,4,6,5]
[2,1,1,4,3,6]=>[{2,3},{1},{5},{4},{6}]=>[2,3,1,5,4,6]
[2,1,1,4,6,3]=>[{2,3},{1},{6},{4},{5}]=>[2,3,1,6,4,5]
[2,1,1,6,3,4]=>[{2,3},{1},{5},{6},{4}]=>[2,3,1,5,6,4]
[2,1,1,6,4,3]=>[{2,3},{1},{6},{5},{4}]=>[2,3,1,6,5,4]
[2,1,3,1,4,6]=>[{2,4},{1},{3},{5},{6}]=>[2,4,1,3,5,6]
[2,1,3,1,6,4]=>[{2,4},{1},{3},{6},{5}]=>[2,4,1,3,6,5]
[2,1,3,4,1,6]=>[{2,5},{1},{3},{4},{6}]=>[2,5,1,3,4,6]
[2,1,3,4,6,1]=>[{2,6},{1},{3},{4},{5}]=>[2,6,1,3,4,5]
[2,1,3,6,1,4]=>[{2,5},{1},{3},{6},{4}]=>[2,5,1,3,6,4]
[2,1,3,6,4,1]=>[{2,6},{1},{3},{5},{4}]=>[2,6,1,3,5,4]
[2,1,4,1,3,6]=>[{2,4},{1},{5},{3},{6}]=>[2,4,1,5,3,6]
[2,1,4,1,6,3]=>[{2,4},{1},{6},{3},{5}]=>[2,4,1,6,3,5]
[2,1,4,3,1,6]=>[{2,5},{1},{4},{3},{6}]=>[2,5,1,4,3,6]
[2,1,4,3,6,1]=>[{2,6},{1},{4},{3},{5}]=>[2,6,1,4,3,5]
[2,1,4,6,1,3]=>[{2,5},{1},{6},{3},{4}]=>[2,5,1,6,3,4]
[2,1,4,6,3,1]=>[{2,6},{1},{5},{3},{4}]=>[2,6,1,5,3,4]
[2,1,6,1,3,4]=>[{2,4},{1},{5},{6},{3}]=>[2,4,1,5,6,3]
[2,1,6,1,4,3]=>[{2,4},{1},{6},{5},{3}]=>[2,4,1,6,5,3]
[2,1,6,3,1,4]=>[{2,5},{1},{4},{6},{3}]=>[2,5,1,4,6,3]
[2,1,6,3,4,1]=>[{2,6},{1},{4},{5},{3}]=>[2,6,1,4,5,3]
[2,1,6,4,1,3]=>[{2,5},{1},{6},{4},{3}]=>[2,5,1,6,4,3]
[2,1,6,4,3,1]=>[{2,6},{1},{5},{4},{3}]=>[2,6,1,5,4,3]
[2,3,1,1,4,6]=>[{3,4},{1},{2},{5},{6}]=>[3,4,1,2,5,6]
[2,3,1,1,6,4]=>[{3,4},{1},{2},{6},{5}]=>[3,4,1,2,6,5]
[2,3,1,4,1,6]=>[{3,5},{1},{2},{4},{6}]=>[3,5,1,2,4,6]
[2,3,1,4,6,1]=>[{3,6},{1},{2},{4},{5}]=>[3,6,1,2,4,5]
[2,3,1,6,1,4]=>[{3,5},{1},{2},{6},{4}]=>[3,5,1,2,6,4]
[2,3,1,6,4,1]=>[{3,6},{1},{2},{5},{4}]=>[3,6,1,2,5,4]
[2,3,4,1,1,6]=>[{4,5},{1},{2},{3},{6}]=>[4,5,1,2,3,6]
[2,3,4,1,6,1]=>[{4,6},{1},{2},{3},{5}]=>[4,6,1,2,3,5]
[2,3,4,6,1,1]=>[{5,6},{1},{2},{3},{4}]=>[5,6,1,2,3,4]
[2,3,6,1,1,4]=>[{4,5},{1},{2},{6},{3}]=>[4,5,1,2,6,3]
[2,3,6,1,4,1]=>[{4,6},{1},{2},{5},{3}]=>[4,6,1,2,5,3]
[2,3,6,4,1,1]=>[{5,6},{1},{2},{4},{3}]=>[5,6,1,2,4,3]
[2,4,1,1,3,6]=>[{3,4},{1},{5},{2},{6}]=>[3,4,1,5,2,6]
[2,4,1,1,6,3]=>[{3,4},{1},{6},{2},{5}]=>[3,4,1,6,2,5]
[2,4,1,3,1,6]=>[{3,5},{1},{4},{2},{6}]=>[3,5,1,4,2,6]
[2,4,1,3,6,1]=>[{3,6},{1},{4},{2},{5}]=>[3,6,1,4,2,5]
[2,4,1,6,1,3]=>[{3,5},{1},{6},{2},{4}]=>[3,5,1,6,2,4]
[2,4,1,6,3,1]=>[{3,6},{1},{5},{2},{4}]=>[3,6,1,5,2,4]
[2,4,3,1,1,6]=>[{4,5},{1},{3},{2},{6}]=>[4,5,1,3,2,6]
[2,4,3,1,6,1]=>[{4,6},{1},{3},{2},{5}]=>[4,6,1,3,2,5]
[2,4,3,6,1,1]=>[{5,6},{1},{3},{2},{4}]=>[5,6,1,3,2,4]
[2,4,6,1,1,3]=>[{4,5},{1},{6},{2},{3}]=>[4,5,1,6,2,3]
[2,4,6,1,3,1]=>[{4,6},{1},{5},{2},{3}]=>[4,6,1,5,2,3]
[2,4,6,3,1,1]=>[{5,6},{1},{4},{2},{3}]=>[5,6,1,4,2,3]
[2,6,1,1,3,4]=>[{3,4},{1},{5},{6},{2}]=>[3,4,1,5,6,2]
[2,6,1,1,4,3]=>[{3,4},{1},{6},{5},{2}]=>[3,4,1,6,5,2]
[2,6,1,3,1,4]=>[{3,5},{1},{4},{6},{2}]=>[3,5,1,4,6,2]
[2,6,1,3,4,1]=>[{3,6},{1},{4},{5},{2}]=>[3,6,1,4,5,2]
[2,6,1,4,1,3]=>[{3,5},{1},{6},{4},{2}]=>[3,5,1,6,4,2]
[2,6,1,4,3,1]=>[{3,6},{1},{5},{4},{2}]=>[3,6,1,5,4,2]
[2,6,3,1,1,4]=>[{4,5},{1},{3},{6},{2}]=>[4,5,1,3,6,2]
[2,6,3,1,4,1]=>[{4,6},{1},{3},{5},{2}]=>[4,6,1,3,5,2]
[2,6,3,4,1,1]=>[{5,6},{1},{3},{4},{2}]=>[5,6,1,3,4,2]
[2,6,4,1,1,3]=>[{4,5},{1},{6},{3},{2}]=>[4,5,1,6,3,2]
[2,6,4,1,3,1]=>[{4,6},{1},{5},{3},{2}]=>[4,6,1,5,3,2]
[2,6,4,3,1,1]=>[{5,6},{1},{4},{3},{2}]=>[5,6,1,4,3,2]
[3,1,1,2,4,6]=>[{2,3},{4},{1},{5},{6}]=>[2,3,4,1,5,6]
[3,1,1,2,6,4]=>[{2,3},{4},{1},{6},{5}]=>[2,3,4,1,6,5]
[3,1,1,4,2,6]=>[{2,3},{5},{1},{4},{6}]=>[2,3,5,1,4,6]
[3,1,1,4,6,2]=>[{2,3},{6},{1},{4},{5}]=>[2,3,6,1,4,5]
[3,1,1,6,2,4]=>[{2,3},{5},{1},{6},{4}]=>[2,3,5,1,6,4]
[3,1,1,6,4,2]=>[{2,3},{6},{1},{5},{4}]=>[2,3,6,1,5,4]
[3,1,2,1,4,6]=>[{2,4},{3},{1},{5},{6}]=>[2,4,3,1,5,6]
[3,1,2,1,6,4]=>[{2,4},{3},{1},{6},{5}]=>[2,4,3,1,6,5]
[3,1,2,4,1,6]=>[{2,5},{3},{1},{4},{6}]=>[2,5,3,1,4,6]
[3,1,2,4,6,1]=>[{2,6},{3},{1},{4},{5}]=>[2,6,3,1,4,5]
[3,1,2,6,1,4]=>[{2,5},{3},{1},{6},{4}]=>[2,5,3,1,6,4]
[3,1,2,6,4,1]=>[{2,6},{3},{1},{5},{4}]=>[2,6,3,1,5,4]
[3,1,4,1,2,6]=>[{2,4},{5},{1},{3},{6}]=>[2,4,5,1,3,6]
[3,1,4,1,6,2]=>[{2,4},{6},{1},{3},{5}]=>[2,4,6,1,3,5]
[3,1,4,2,1,6]=>[{2,5},{4},{1},{3},{6}]=>[2,5,4,1,3,6]
[3,1,4,2,6,1]=>[{2,6},{4},{1},{3},{5}]=>[2,6,4,1,3,5]
[3,1,4,6,1,2]=>[{2,5},{6},{1},{3},{4}]=>[2,5,6,1,3,4]
[3,1,4,6,2,1]=>[{2,6},{5},{1},{3},{4}]=>[2,6,5,1,3,4]
[3,1,6,1,2,4]=>[{2,4},{5},{1},{6},{3}]=>[2,4,5,1,6,3]
[3,1,6,1,4,2]=>[{2,4},{6},{1},{5},{3}]=>[2,4,6,1,5,3]
[3,1,6,2,1,4]=>[{2,5},{4},{1},{6},{3}]=>[2,5,4,1,6,3]
[3,1,6,2,4,1]=>[{2,6},{4},{1},{5},{3}]=>[2,6,4,1,5,3]
[3,1,6,4,1,2]=>[{2,5},{6},{1},{4},{3}]=>[2,5,6,1,4,3]
[3,1,6,4,2,1]=>[{2,6},{5},{1},{4},{3}]=>[2,6,5,1,4,3]
[3,2,1,1,4,6]=>[{3,4},{2},{1},{5},{6}]=>[3,4,2,1,5,6]
[3,2,1,1,6,4]=>[{3,4},{2},{1},{6},{5}]=>[3,4,2,1,6,5]
[3,2,1,4,1,6]=>[{3,5},{2},{1},{4},{6}]=>[3,5,2,1,4,6]
[3,2,1,4,6,1]=>[{3,6},{2},{1},{4},{5}]=>[3,6,2,1,4,5]
[3,2,1,6,1,4]=>[{3,5},{2},{1},{6},{4}]=>[3,5,2,1,6,4]
[3,2,1,6,4,1]=>[{3,6},{2},{1},{5},{4}]=>[3,6,2,1,5,4]
[3,2,4,1,1,6]=>[{4,5},{2},{1},{3},{6}]=>[4,5,2,1,3,6]
[3,2,4,1,6,1]=>[{4,6},{2},{1},{3},{5}]=>[4,6,2,1,3,5]
[3,2,4,6,1,1]=>[{5,6},{2},{1},{3},{4}]=>[5,6,2,1,3,4]
[3,2,6,1,1,4]=>[{4,5},{2},{1},{6},{3}]=>[4,5,2,1,6,3]
[3,2,6,1,4,1]=>[{4,6},{2},{1},{5},{3}]=>[4,6,2,1,5,3]
[3,2,6,4,1,1]=>[{5,6},{2},{1},{4},{3}]=>[5,6,2,1,4,3]
[3,4,1,1,2,6]=>[{3,4},{5},{1},{2},{6}]=>[3,4,5,1,2,6]
[3,4,1,1,6,2]=>[{3,4},{6},{1},{2},{5}]=>[3,4,6,1,2,5]
[3,4,1,2,1,6]=>[{3,5},{4},{1},{2},{6}]=>[3,5,4,1,2,6]
[3,4,1,2,6,1]=>[{3,6},{4},{1},{2},{5}]=>[3,6,4,1,2,5]
[3,4,1,6,1,2]=>[{3,5},{6},{1},{2},{4}]=>[3,5,6,1,2,4]
[3,4,1,6,2,1]=>[{3,6},{5},{1},{2},{4}]=>[3,6,5,1,2,4]
[3,4,2,1,1,6]=>[{4,5},{3},{1},{2},{6}]=>[4,5,3,1,2,6]
[3,4,2,1,6,1]=>[{4,6},{3},{1},{2},{5}]=>[4,6,3,1,2,5]
[3,4,2,6,1,1]=>[{5,6},{3},{1},{2},{4}]=>[5,6,3,1,2,4]
[3,4,6,1,1,2]=>[{4,5},{6},{1},{2},{3}]=>[4,5,6,1,2,3]
[3,4,6,1,2,1]=>[{4,6},{5},{1},{2},{3}]=>[4,6,5,1,2,3]
[3,4,6,2,1,1]=>[{5,6},{4},{1},{2},{3}]=>[5,6,4,1,2,3]
[3,6,1,1,2,4]=>[{3,4},{5},{1},{6},{2}]=>[3,4,5,1,6,2]
[3,6,1,1,4,2]=>[{3,4},{6},{1},{5},{2}]=>[3,4,6,1,5,2]
[3,6,1,2,1,4]=>[{3,5},{4},{1},{6},{2}]=>[3,5,4,1,6,2]
[3,6,1,2,4,1]=>[{3,6},{4},{1},{5},{2}]=>[3,6,4,1,5,2]
[3,6,1,4,1,2]=>[{3,5},{6},{1},{4},{2}]=>[3,5,6,1,4,2]
[3,6,1,4,2,1]=>[{3,6},{5},{1},{4},{2}]=>[3,6,5,1,4,2]
[3,6,2,1,1,4]=>[{4,5},{3},{1},{6},{2}]=>[4,5,3,1,6,2]
[3,6,2,1,4,1]=>[{4,6},{3},{1},{5},{2}]=>[4,6,3,1,5,2]
[3,6,2,4,1,1]=>[{5,6},{3},{1},{4},{2}]=>[5,6,3,1,4,2]
[3,6,4,1,1,2]=>[{4,5},{6},{1},{3},{2}]=>[4,5,6,1,3,2]
[3,6,4,1,2,1]=>[{4,6},{5},{1},{3},{2}]=>[4,6,5,1,3,2]
[3,6,4,2,1,1]=>[{5,6},{4},{1},{3},{2}]=>[5,6,4,1,3,2]
[4,1,1,2,3,6]=>[{2,3},{4},{5},{1},{6}]=>[2,3,4,5,1,6]
[4,1,1,2,6,3]=>[{2,3},{4},{6},{1},{5}]=>[2,3,4,6,1,5]
[4,1,1,3,2,6]=>[{2,3},{5},{4},{1},{6}]=>[2,3,5,4,1,6]
[4,1,1,3,6,2]=>[{2,3},{6},{4},{1},{5}]=>[2,3,6,4,1,5]
[4,1,1,6,2,3]=>[{2,3},{5},{6},{1},{4}]=>[2,3,5,6,1,4]
[4,1,1,6,3,2]=>[{2,3},{6},{5},{1},{4}]=>[2,3,6,5,1,4]
[4,1,2,1,3,6]=>[{2,4},{3},{5},{1},{6}]=>[2,4,3,5,1,6]
[4,1,2,1,6,3]=>[{2,4},{3},{6},{1},{5}]=>[2,4,3,6,1,5]
[4,1,2,3,1,6]=>[{2,5},{3},{4},{1},{6}]=>[2,5,3,4,1,6]
[4,1,2,3,6,1]=>[{2,6},{3},{4},{1},{5}]=>[2,6,3,4,1,5]
[4,1,2,6,1,3]=>[{2,5},{3},{6},{1},{4}]=>[2,5,3,6,1,4]
[4,1,2,6,3,1]=>[{2,6},{3},{5},{1},{4}]=>[2,6,3,5,1,4]
[4,1,3,1,2,6]=>[{2,4},{5},{3},{1},{6}]=>[2,4,5,3,1,6]
[4,1,3,1,6,2]=>[{2,4},{6},{3},{1},{5}]=>[2,4,6,3,1,5]
[4,1,3,2,1,6]=>[{2,5},{4},{3},{1},{6}]=>[2,5,4,3,1,6]
[4,1,3,2,6,1]=>[{2,6},{4},{3},{1},{5}]=>[2,6,4,3,1,5]
[4,1,3,6,1,2]=>[{2,5},{6},{3},{1},{4}]=>[2,5,6,3,1,4]
[4,1,3,6,2,1]=>[{2,6},{5},{3},{1},{4}]=>[2,6,5,3,1,4]
[4,1,6,1,2,3]=>[{2,4},{5},{6},{1},{3}]=>[2,4,5,6,1,3]
[4,1,6,1,3,2]=>[{2,4},{6},{5},{1},{3}]=>[2,4,6,5,1,3]
[4,1,6,2,1,3]=>[{2,5},{4},{6},{1},{3}]=>[2,5,4,6,1,3]
[4,1,6,2,3,1]=>[{2,6},{4},{5},{1},{3}]=>[2,6,4,5,1,3]
[4,1,6,3,1,2]=>[{2,5},{6},{4},{1},{3}]=>[2,5,6,4,1,3]
[4,1,6,3,2,1]=>[{2,6},{5},{4},{1},{3}]=>[2,6,5,4,1,3]
[4,2,1,1,3,6]=>[{3,4},{2},{5},{1},{6}]=>[3,4,2,5,1,6]
[4,2,1,1,6,3]=>[{3,4},{2},{6},{1},{5}]=>[3,4,2,6,1,5]
[4,2,1,3,1,6]=>[{3,5},{2},{4},{1},{6}]=>[3,5,2,4,1,6]
[4,2,1,3,6,1]=>[{3,6},{2},{4},{1},{5}]=>[3,6,2,4,1,5]
[4,2,1,6,1,3]=>[{3,5},{2},{6},{1},{4}]=>[3,5,2,6,1,4]
[4,2,1,6,3,1]=>[{3,6},{2},{5},{1},{4}]=>[3,6,2,5,1,4]
[4,2,3,1,1,6]=>[{4,5},{2},{3},{1},{6}]=>[4,5,2,3,1,6]
[4,2,3,1,6,1]=>[{4,6},{2},{3},{1},{5}]=>[4,6,2,3,1,5]
[4,2,3,6,1,1]=>[{5,6},{2},{3},{1},{4}]=>[5,6,2,3,1,4]
[4,2,6,1,1,3]=>[{4,5},{2},{6},{1},{3}]=>[4,5,2,6,1,3]
[4,2,6,1,3,1]=>[{4,6},{2},{5},{1},{3}]=>[4,6,2,5,1,3]
[4,2,6,3,1,1]=>[{5,6},{2},{4},{1},{3}]=>[5,6,2,4,1,3]
[4,3,1,1,2,6]=>[{3,4},{5},{2},{1},{6}]=>[3,4,5,2,1,6]
[4,3,1,1,6,2]=>[{3,4},{6},{2},{1},{5}]=>[3,4,6,2,1,5]
[4,3,1,2,1,6]=>[{3,5},{4},{2},{1},{6}]=>[3,5,4,2,1,6]
[4,3,1,2,6,1]=>[{3,6},{4},{2},{1},{5}]=>[3,6,4,2,1,5]
[4,3,1,6,1,2]=>[{3,5},{6},{2},{1},{4}]=>[3,5,6,2,1,4]
[4,3,1,6,2,1]=>[{3,6},{5},{2},{1},{4}]=>[3,6,5,2,1,4]
[4,3,2,1,1,6]=>[{4,5},{3},{2},{1},{6}]=>[4,5,3,2,1,6]
[4,3,2,1,6,1]=>[{4,6},{3},{2},{1},{5}]=>[4,6,3,2,1,5]
[4,3,2,6,1,1]=>[{5,6},{3},{2},{1},{4}]=>[5,6,3,2,1,4]
[4,3,6,1,1,2]=>[{4,5},{6},{2},{1},{3}]=>[4,5,6,2,1,3]
[4,3,6,1,2,1]=>[{4,6},{5},{2},{1},{3}]=>[4,6,5,2,1,3]
[4,3,6,2,1,1]=>[{5,6},{4},{2},{1},{3}]=>[5,6,4,2,1,3]
[4,6,1,1,2,3]=>[{3,4},{5},{6},{1},{2}]=>[3,4,5,6,1,2]
[4,6,1,1,3,2]=>[{3,4},{6},{5},{1},{2}]=>[3,4,6,5,1,2]
[4,6,1,2,1,3]=>[{3,5},{4},{6},{1},{2}]=>[3,5,4,6,1,2]
[4,6,1,2,3,1]=>[{3,6},{4},{5},{1},{2}]=>[3,6,4,5,1,2]
[4,6,1,3,1,2]=>[{3,5},{6},{4},{1},{2}]=>[3,5,6,4,1,2]
[4,6,1,3,2,1]=>[{3,6},{5},{4},{1},{2}]=>[3,6,5,4,1,2]
[4,6,2,1,1,3]=>[{4,5},{3},{6},{1},{2}]=>[4,5,3,6,1,2]
[4,6,2,1,3,1]=>[{4,6},{3},{5},{1},{2}]=>[4,6,3,5,1,2]
[4,6,2,3,1,1]=>[{5,6},{3},{4},{1},{2}]=>[5,6,3,4,1,2]
[4,6,3,1,1,2]=>[{4,5},{6},{3},{1},{2}]=>[4,5,6,3,1,2]
[4,6,3,1,2,1]=>[{4,6},{5},{3},{1},{2}]=>[4,6,5,3,1,2]
[4,6,3,2,1,1]=>[{5,6},{4},{3},{1},{2}]=>[5,6,4,3,1,2]
[6,1,1,2,3,4]=>[{2,3},{4},{5},{6},{1}]=>[2,3,4,5,6,1]
[6,1,1,2,4,3]=>[{2,3},{4},{6},{5},{1}]=>[2,3,4,6,5,1]
[6,1,1,3,2,4]=>[{2,3},{5},{4},{6},{1}]=>[2,3,5,4,6,1]
[6,1,1,3,4,2]=>[{2,3},{6},{4},{5},{1}]=>[2,3,6,4,5,1]
[6,1,1,4,2,3]=>[{2,3},{5},{6},{4},{1}]=>[2,3,5,6,4,1]
[6,1,1,4,3,2]=>[{2,3},{6},{5},{4},{1}]=>[2,3,6,5,4,1]
[6,1,2,1,3,4]=>[{2,4},{3},{5},{6},{1}]=>[2,4,3,5,6,1]
[6,1,2,1,4,3]=>[{2,4},{3},{6},{5},{1}]=>[2,4,3,6,5,1]
[6,1,2,3,1,4]=>[{2,5},{3},{4},{6},{1}]=>[2,5,3,4,6,1]
[6,1,2,3,4,1]=>[{2,6},{3},{4},{5},{1}]=>[2,6,3,4,5,1]
[6,1,2,4,1,3]=>[{2,5},{3},{6},{4},{1}]=>[2,5,3,6,4,1]
[6,1,2,4,3,1]=>[{2,6},{3},{5},{4},{1}]=>[2,6,3,5,4,1]
[6,1,3,1,2,4]=>[{2,4},{5},{3},{6},{1}]=>[2,4,5,3,6,1]
[6,1,3,1,4,2]=>[{2,4},{6},{3},{5},{1}]=>[2,4,6,3,5,1]
[6,1,3,2,1,4]=>[{2,5},{4},{3},{6},{1}]=>[2,5,4,3,6,1]
[6,1,3,2,4,1]=>[{2,6},{4},{3},{5},{1}]=>[2,6,4,3,5,1]
[6,1,3,4,1,2]=>[{2,5},{6},{3},{4},{1}]=>[2,5,6,3,4,1]
[6,1,3,4,2,1]=>[{2,6},{5},{3},{4},{1}]=>[2,6,5,3,4,1]
[6,1,4,1,2,3]=>[{2,4},{5},{6},{3},{1}]=>[2,4,5,6,3,1]
[6,1,4,1,3,2]=>[{2,4},{6},{5},{3},{1}]=>[2,4,6,5,3,1]
[6,1,4,2,1,3]=>[{2,5},{4},{6},{3},{1}]=>[2,5,4,6,3,1]
[6,1,4,2,3,1]=>[{2,6},{4},{5},{3},{1}]=>[2,6,4,5,3,1]
[6,1,4,3,1,2]=>[{2,5},{6},{4},{3},{1}]=>[2,5,6,4,3,1]
[6,1,4,3,2,1]=>[{2,6},{5},{4},{3},{1}]=>[2,6,5,4,3,1]
[6,2,1,1,3,4]=>[{3,4},{2},{5},{6},{1}]=>[3,4,2,5,6,1]
[6,2,1,1,4,3]=>[{3,4},{2},{6},{5},{1}]=>[3,4,2,6,5,1]
[6,2,1,3,1,4]=>[{3,5},{2},{4},{6},{1}]=>[3,5,2,4,6,1]
[6,2,1,3,4,1]=>[{3,6},{2},{4},{5},{1}]=>[3,6,2,4,5,1]
[6,2,1,4,1,3]=>[{3,5},{2},{6},{4},{1}]=>[3,5,2,6,4,1]
[6,2,1,4,3,1]=>[{3,6},{2},{5},{4},{1}]=>[3,6,2,5,4,1]
[6,2,3,1,1,4]=>[{4,5},{2},{3},{6},{1}]=>[4,5,2,3,6,1]
[6,2,3,1,4,1]=>[{4,6},{2},{3},{5},{1}]=>[4,6,2,3,5,1]
[6,2,3,4,1,1]=>[{5,6},{2},{3},{4},{1}]=>[5,6,2,3,4,1]
[6,2,4,1,1,3]=>[{4,5},{2},{6},{3},{1}]=>[4,5,2,6,3,1]
[6,2,4,1,3,1]=>[{4,6},{2},{5},{3},{1}]=>[4,6,2,5,3,1]
[6,2,4,3,1,1]=>[{5,6},{2},{4},{3},{1}]=>[5,6,2,4,3,1]
[6,3,1,1,2,4]=>[{3,4},{5},{2},{6},{1}]=>[3,4,5,2,6,1]
[6,3,1,1,4,2]=>[{3,4},{6},{2},{5},{1}]=>[3,4,6,2,5,1]
[6,3,1,2,1,4]=>[{3,5},{4},{2},{6},{1}]=>[3,5,4,2,6,1]
[6,3,1,2,4,1]=>[{3,6},{4},{2},{5},{1}]=>[3,6,4,2,5,1]
[6,3,1,4,1,2]=>[{3,5},{6},{2},{4},{1}]=>[3,5,6,2,4,1]
[6,3,1,4,2,1]=>[{3,6},{5},{2},{4},{1}]=>[3,6,5,2,4,1]
[6,3,2,1,1,4]=>[{4,5},{3},{2},{6},{1}]=>[4,5,3,2,6,1]
[6,3,2,1,4,1]=>[{4,6},{3},{2},{5},{1}]=>[4,6,3,2,5,1]
[6,3,2,4,1,1]=>[{5,6},{3},{2},{4},{1}]=>[5,6,3,2,4,1]
[6,3,4,1,1,2]=>[{4,5},{6},{2},{3},{1}]=>[4,5,6,2,3,1]
[6,3,4,1,2,1]=>[{4,6},{5},{2},{3},{1}]=>[4,6,5,2,3,1]
[6,3,4,2,1,1]=>[{5,6},{4},{2},{3},{1}]=>[5,6,4,2,3,1]
[6,4,1,1,2,3]=>[{3,4},{5},{6},{2},{1}]=>[3,4,5,6,2,1]
[6,4,1,1,3,2]=>[{3,4},{6},{5},{2},{1}]=>[3,4,6,5,2,1]
[6,4,1,2,1,3]=>[{3,5},{4},{6},{2},{1}]=>[3,5,4,6,2,1]
[6,4,1,2,3,1]=>[{3,6},{4},{5},{2},{1}]=>[3,6,4,5,2,1]
[6,4,1,3,1,2]=>[{3,5},{6},{4},{2},{1}]=>[3,5,6,4,2,1]
[6,4,1,3,2,1]=>[{3,6},{5},{4},{2},{1}]=>[3,6,5,4,2,1]
[6,4,2,1,1,3]=>[{4,5},{3},{6},{2},{1}]=>[4,5,3,6,2,1]
[6,4,2,1,3,1]=>[{4,6},{3},{5},{2},{1}]=>[4,6,3,5,2,1]
[6,4,2,3,1,1]=>[{5,6},{3},{4},{2},{1}]=>[5,6,3,4,2,1]
[6,4,3,1,1,2]=>[{4,5},{6},{3},{2},{1}]=>[4,5,6,3,2,1]
[6,4,3,1,2,1]=>[{4,6},{5},{3},{2},{1}]=>[4,6,5,3,2,1]
[6,4,3,2,1,1]=>[{5,6},{4},{3},{2},{1}]=>[5,6,4,3,2,1]
[1,1,2,3,5,5]=>[{1,2},{3},{4},{5,6}]=>[1,2,3,4,5,6]
[1,1,2,5,3,5]=>[{1,2},{3},{5},{4,6}]=>[1,2,3,5,4,6]
[1,1,2,5,5,3]=>[{1,2},{3},{6},{4,5}]=>[1,2,3,6,4,5]
[1,1,3,2,5,5]=>[{1,2},{4},{3},{5,6}]=>[1,2,4,3,5,6]
[1,1,3,5,2,5]=>[{1,2},{5},{3},{4,6}]=>[1,2,5,3,4,6]
[1,1,3,5,5,2]=>[{1,2},{6},{3},{4,5}]=>[1,2,6,3,4,5]
[1,1,5,2,3,5]=>[{1,2},{4},{5},{3,6}]=>[1,2,4,5,3,6]
[1,1,5,2,5,3]=>[{1,2},{4},{6},{3,5}]=>[1,2,4,6,3,5]
[1,1,5,3,2,5]=>[{1,2},{5},{4},{3,6}]=>[1,2,5,4,3,6]
[1,1,5,3,5,2]=>[{1,2},{6},{4},{3,5}]=>[1,2,6,4,3,5]
[1,1,5,5,2,3]=>[{1,2},{5},{6},{3,4}]=>[1,2,5,6,3,4]
[1,1,5,5,3,2]=>[{1,2},{6},{5},{3,4}]=>[1,2,6,5,3,4]
[1,2,1,3,5,5]=>[{1,3},{2},{4},{5,6}]=>[1,3,2,4,5,6]
[1,2,1,5,3,5]=>[{1,3},{2},{5},{4,6}]=>[1,3,2,5,4,6]
[1,2,1,5,5,3]=>[{1,3},{2},{6},{4,5}]=>[1,3,2,6,4,5]
[1,2,3,1,5,5]=>[{1,4},{2},{3},{5,6}]=>[1,4,2,3,5,6]
[1,2,3,5,1,5]=>[{1,5},{2},{3},{4,6}]=>[1,5,2,3,4,6]
[1,2,3,5,5,1]=>[{1,6},{2},{3},{4,5}]=>[1,6,2,3,4,5]
[1,2,5,1,3,5]=>[{1,4},{2},{5},{3,6}]=>[1,4,2,5,3,6]
[1,2,5,1,5,3]=>[{1,4},{2},{6},{3,5}]=>[1,4,2,6,3,5]
[1,2,5,3,1,5]=>[{1,5},{2},{4},{3,6}]=>[1,5,2,4,3,6]
[1,2,5,3,5,1]=>[{1,6},{2},{4},{3,5}]=>[1,6,2,4,3,5]
[1,2,5,5,1,3]=>[{1,5},{2},{6},{3,4}]=>[1,5,2,6,3,4]
[1,2,5,5,3,1]=>[{1,6},{2},{5},{3,4}]=>[1,6,2,5,3,4]
[1,3,1,2,5,5]=>[{1,3},{4},{2},{5,6}]=>[1,3,4,2,5,6]
[1,3,1,5,2,5]=>[{1,3},{5},{2},{4,6}]=>[1,3,5,2,4,6]
[1,3,1,5,5,2]=>[{1,3},{6},{2},{4,5}]=>[1,3,6,2,4,5]
[1,3,2,1,5,5]=>[{1,4},{3},{2},{5,6}]=>[1,4,3,2,5,6]
[1,3,2,5,1,5]=>[{1,5},{3},{2},{4,6}]=>[1,5,3,2,4,6]
[1,3,2,5,5,1]=>[{1,6},{3},{2},{4,5}]=>[1,6,3,2,4,5]
[1,3,5,1,2,5]=>[{1,4},{5},{2},{3,6}]=>[1,4,5,2,3,6]
[1,3,5,1,5,2]=>[{1,4},{6},{2},{3,5}]=>[1,4,6,2,3,5]
[1,3,5,2,1,5]=>[{1,5},{4},{2},{3,6}]=>[1,5,4,2,3,6]
[1,3,5,2,5,1]=>[{1,6},{4},{2},{3,5}]=>[1,6,4,2,3,5]
[1,3,5,5,1,2]=>[{1,5},{6},{2},{3,4}]=>[1,5,6,2,3,4]
[1,3,5,5,2,1]=>[{1,6},{5},{2},{3,4}]=>[1,6,5,2,3,4]
[1,5,1,2,3,5]=>[{1,3},{4},{5},{2,6}]=>[1,3,4,5,2,6]
[1,5,1,2,5,3]=>[{1,3},{4},{6},{2,5}]=>[1,3,4,6,2,5]
[1,5,1,3,2,5]=>[{1,3},{5},{4},{2,6}]=>[1,3,5,4,2,6]
[1,5,1,3,5,2]=>[{1,3},{6},{4},{2,5}]=>[1,3,6,4,2,5]
[1,5,1,5,2,3]=>[{1,3},{5},{6},{2,4}]=>[1,3,5,6,2,4]
[1,5,1,5,3,2]=>[{1,3},{6},{5},{2,4}]=>[1,3,6,5,2,4]
[1,5,2,1,3,5]=>[{1,4},{3},{5},{2,6}]=>[1,4,3,5,2,6]
[1,5,2,1,5,3]=>[{1,4},{3},{6},{2,5}]=>[1,4,3,6,2,5]
[1,5,2,3,1,5]=>[{1,5},{3},{4},{2,6}]=>[1,5,3,4,2,6]
[1,5,2,3,5,1]=>[{1,6},{3},{4},{2,5}]=>[1,6,3,4,2,5]
[1,5,2,5,1,3]=>[{1,5},{3},{6},{2,4}]=>[1,5,3,6,2,4]
[1,5,2,5,3,1]=>[{1,6},{3},{5},{2,4}]=>[1,6,3,5,2,4]
[1,5,3,1,2,5]=>[{1,4},{5},{3},{2,6}]=>[1,4,5,3,2,6]
[1,5,3,1,5,2]=>[{1,4},{6},{3},{2,5}]=>[1,4,6,3,2,5]
[1,5,3,2,1,5]=>[{1,5},{4},{3},{2,6}]=>[1,5,4,3,2,6]
[1,5,3,2,5,1]=>[{1,6},{4},{3},{2,5}]=>[1,6,4,3,2,5]
[1,5,3,5,1,2]=>[{1,5},{6},{3},{2,4}]=>[1,5,6,3,2,4]
[1,5,3,5,2,1]=>[{1,6},{5},{3},{2,4}]=>[1,6,5,3,2,4]
[1,5,5,1,2,3]=>[{1,4},{5},{6},{2,3}]=>[1,4,5,6,2,3]
[1,5,5,1,3,2]=>[{1,4},{6},{5},{2,3}]=>[1,4,6,5,2,3]
[1,5,5,2,1,3]=>[{1,5},{4},{6},{2,3}]=>[1,5,4,6,2,3]
[1,5,5,2,3,1]=>[{1,6},{4},{5},{2,3}]=>[1,6,4,5,2,3]
[1,5,5,3,1,2]=>[{1,5},{6},{4},{2,3}]=>[1,5,6,4,2,3]
[1,5,5,3,2,1]=>[{1,6},{5},{4},{2,3}]=>[1,6,5,4,2,3]
[2,1,1,3,5,5]=>[{2,3},{1},{4},{5,6}]=>[2,3,1,4,5,6]
[2,1,1,5,3,5]=>[{2,3},{1},{5},{4,6}]=>[2,3,1,5,4,6]
[2,1,1,5,5,3]=>[{2,3},{1},{6},{4,5}]=>[2,3,1,6,4,5]
[2,1,3,1,5,5]=>[{2,4},{1},{3},{5,6}]=>[2,4,1,3,5,6]
[2,1,3,5,1,5]=>[{2,5},{1},{3},{4,6}]=>[2,5,1,3,4,6]
[2,1,3,5,5,1]=>[{2,6},{1},{3},{4,5}]=>[2,6,1,3,4,5]
[2,1,5,1,3,5]=>[{2,4},{1},{5},{3,6}]=>[2,4,1,5,3,6]
[2,1,5,1,5,3]=>[{2,4},{1},{6},{3,5}]=>[2,4,1,6,3,5]
[2,1,5,3,1,5]=>[{2,5},{1},{4},{3,6}]=>[2,5,1,4,3,6]
[2,1,5,3,5,1]=>[{2,6},{1},{4},{3,5}]=>[2,6,1,4,3,5]
[2,1,5,5,1,3]=>[{2,5},{1},{6},{3,4}]=>[2,5,1,6,3,4]
[2,1,5,5,3,1]=>[{2,6},{1},{5},{3,4}]=>[2,6,1,5,3,4]
[2,3,1,1,5,5]=>[{3,4},{1},{2},{5,6}]=>[3,4,1,2,5,6]
[2,3,1,5,1,5]=>[{3,5},{1},{2},{4,6}]=>[3,5,1,2,4,6]
[2,3,1,5,5,1]=>[{3,6},{1},{2},{4,5}]=>[3,6,1,2,4,5]
[2,3,5,1,1,5]=>[{4,5},{1},{2},{3,6}]=>[4,5,1,2,3,6]
[2,3,5,1,5,1]=>[{4,6},{1},{2},{3,5}]=>[4,6,1,2,3,5]
[2,3,5,5,1,1]=>[{5,6},{1},{2},{3,4}]=>[5,6,1,2,3,4]
[2,5,1,1,3,5]=>[{3,4},{1},{5},{2,6}]=>[3,4,1,5,2,6]
[2,5,1,1,5,3]=>[{3,4},{1},{6},{2,5}]=>[3,4,1,6,2,5]
[2,5,1,3,1,5]=>[{3,5},{1},{4},{2,6}]=>[3,5,1,4,2,6]
[2,5,1,3,5,1]=>[{3,6},{1},{4},{2,5}]=>[3,6,1,4,2,5]
[2,5,1,5,1,3]=>[{3,5},{1},{6},{2,4}]=>[3,5,1,6,2,4]
[2,5,1,5,3,1]=>[{3,6},{1},{5},{2,4}]=>[3,6,1,5,2,4]
[2,5,3,1,1,5]=>[{4,5},{1},{3},{2,6}]=>[4,5,1,3,2,6]
[2,5,3,1,5,1]=>[{4,6},{1},{3},{2,5}]=>[4,6,1,3,2,5]
[2,5,3,5,1,1]=>[{5,6},{1},{3},{2,4}]=>[5,6,1,3,2,4]
[2,5,5,1,1,3]=>[{4,5},{1},{6},{2,3}]=>[4,5,1,6,2,3]
[2,5,5,1,3,1]=>[{4,6},{1},{5},{2,3}]=>[4,6,1,5,2,3]
[2,5,5,3,1,1]=>[{5,6},{1},{4},{2,3}]=>[5,6,1,4,2,3]
[3,1,1,2,5,5]=>[{2,3},{4},{1},{5,6}]=>[2,3,4,1,5,6]
[3,1,1,5,2,5]=>[{2,3},{5},{1},{4,6}]=>[2,3,5,1,4,6]
[3,1,1,5,5,2]=>[{2,3},{6},{1},{4,5}]=>[2,3,6,1,4,5]
[3,1,2,1,5,5]=>[{2,4},{3},{1},{5,6}]=>[2,4,3,1,5,6]
[3,1,2,5,1,5]=>[{2,5},{3},{1},{4,6}]=>[2,5,3,1,4,6]
[3,1,2,5,5,1]=>[{2,6},{3},{1},{4,5}]=>[2,6,3,1,4,5]
[3,1,5,1,2,5]=>[{2,4},{5},{1},{3,6}]=>[2,4,5,1,3,6]
[3,1,5,1,5,2]=>[{2,4},{6},{1},{3,5}]=>[2,4,6,1,3,5]
[3,1,5,2,1,5]=>[{2,5},{4},{1},{3,6}]=>[2,5,4,1,3,6]
[3,1,5,2,5,1]=>[{2,6},{4},{1},{3,5}]=>[2,6,4,1,3,5]
[3,1,5,5,1,2]=>[{2,5},{6},{1},{3,4}]=>[2,5,6,1,3,4]
[3,1,5,5,2,1]=>[{2,6},{5},{1},{3,4}]=>[2,6,5,1,3,4]
[3,2,1,1,5,5]=>[{3,4},{2},{1},{5,6}]=>[3,4,2,1,5,6]
[3,2,1,5,1,5]=>[{3,5},{2},{1},{4,6}]=>[3,5,2,1,4,6]
[3,2,1,5,5,1]=>[{3,6},{2},{1},{4,5}]=>[3,6,2,1,4,5]
[3,2,5,1,1,5]=>[{4,5},{2},{1},{3,6}]=>[4,5,2,1,3,6]
[3,2,5,1,5,1]=>[{4,6},{2},{1},{3,5}]=>[4,6,2,1,3,5]
[3,2,5,5,1,1]=>[{5,6},{2},{1},{3,4}]=>[5,6,2,1,3,4]
[3,5,1,1,2,5]=>[{3,4},{5},{1},{2,6}]=>[3,4,5,1,2,6]
[3,5,1,1,5,2]=>[{3,4},{6},{1},{2,5}]=>[3,4,6,1,2,5]
[3,5,1,2,1,5]=>[{3,5},{4},{1},{2,6}]=>[3,5,4,1,2,6]
[3,5,1,2,5,1]=>[{3,6},{4},{1},{2,5}]=>[3,6,4,1,2,5]
[3,5,1,5,1,2]=>[{3,5},{6},{1},{2,4}]=>[3,5,6,1,2,4]
[3,5,1,5,2,1]=>[{3,6},{5},{1},{2,4}]=>[3,6,5,1,2,4]
[3,5,2,1,1,5]=>[{4,5},{3},{1},{2,6}]=>[4,5,3,1,2,6]
[3,5,2,1,5,1]=>[{4,6},{3},{1},{2,5}]=>[4,6,3,1,2,5]
[3,5,2,5,1,1]=>[{5,6},{3},{1},{2,4}]=>[5,6,3,1,2,4]
[3,5,5,1,1,2]=>[{4,5},{6},{1},{2,3}]=>[4,5,6,1,2,3]
[3,5,5,1,2,1]=>[{4,6},{5},{1},{2,3}]=>[4,6,5,1,2,3]
[3,5,5,2,1,1]=>[{5,6},{4},{1},{2,3}]=>[5,6,4,1,2,3]
[5,1,1,2,3,5]=>[{2,3},{4},{5},{1,6}]=>[2,3,4,5,1,6]
[5,1,1,2,5,3]=>[{2,3},{4},{6},{1,5}]=>[2,3,4,6,1,5]
[5,1,1,3,2,5]=>[{2,3},{5},{4},{1,6}]=>[2,3,5,4,1,6]
[5,1,1,3,5,2]=>[{2,3},{6},{4},{1,5}]=>[2,3,6,4,1,5]
[5,1,1,5,2,3]=>[{2,3},{5},{6},{1,4}]=>[2,3,5,6,1,4]
[5,1,1,5,3,2]=>[{2,3},{6},{5},{1,4}]=>[2,3,6,5,1,4]
[5,1,2,1,3,5]=>[{2,4},{3},{5},{1,6}]=>[2,4,3,5,1,6]
[5,1,2,1,5,3]=>[{2,4},{3},{6},{1,5}]=>[2,4,3,6,1,5]
[5,1,2,3,1,5]=>[{2,5},{3},{4},{1,6}]=>[2,5,3,4,1,6]
[5,1,2,3,5,1]=>[{2,6},{3},{4},{1,5}]=>[2,6,3,4,1,5]
[5,1,2,5,1,3]=>[{2,5},{3},{6},{1,4}]=>[2,5,3,6,1,4]
[5,1,2,5,3,1]=>[{2,6},{3},{5},{1,4}]=>[2,6,3,5,1,4]
[5,1,3,1,2,5]=>[{2,4},{5},{3},{1,6}]=>[2,4,5,3,1,6]
[5,1,3,1,5,2]=>[{2,4},{6},{3},{1,5}]=>[2,4,6,3,1,5]
[5,1,3,2,1,5]=>[{2,5},{4},{3},{1,6}]=>[2,5,4,3,1,6]
[5,1,3,2,5,1]=>[{2,6},{4},{3},{1,5}]=>[2,6,4,3,1,5]
[5,1,3,5,1,2]=>[{2,5},{6},{3},{1,4}]=>[2,5,6,3,1,4]
[5,1,3,5,2,1]=>[{2,6},{5},{3},{1,4}]=>[2,6,5,3,1,4]
[5,1,5,1,2,3]=>[{2,4},{5},{6},{1,3}]=>[2,4,5,6,1,3]
[5,1,5,1,3,2]=>[{2,4},{6},{5},{1,3}]=>[2,4,6,5,1,3]
[5,1,5,2,1,3]=>[{2,5},{4},{6},{1,3}]=>[2,5,4,6,1,3]
[5,1,5,2,3,1]=>[{2,6},{4},{5},{1,3}]=>[2,6,4,5,1,3]
[5,1,5,3,1,2]=>[{2,5},{6},{4},{1,3}]=>[2,5,6,4,1,3]
[5,1,5,3,2,1]=>[{2,6},{5},{4},{1,3}]=>[2,6,5,4,1,3]
[5,2,1,1,3,5]=>[{3,4},{2},{5},{1,6}]=>[3,4,2,5,1,6]
[5,2,1,1,5,3]=>[{3,4},{2},{6},{1,5}]=>[3,4,2,6,1,5]
[5,2,1,3,1,5]=>[{3,5},{2},{4},{1,6}]=>[3,5,2,4,1,6]
[5,2,1,3,5,1]=>[{3,6},{2},{4},{1,5}]=>[3,6,2,4,1,5]
[5,2,1,5,1,3]=>[{3,5},{2},{6},{1,4}]=>[3,5,2,6,1,4]
[5,2,1,5,3,1]=>[{3,6},{2},{5},{1,4}]=>[3,6,2,5,1,4]
[5,2,3,1,1,5]=>[{4,5},{2},{3},{1,6}]=>[4,5,2,3,1,6]
[5,2,3,1,5,1]=>[{4,6},{2},{3},{1,5}]=>[4,6,2,3,1,5]
[5,2,3,5,1,1]=>[{5,6},{2},{3},{1,4}]=>[5,6,2,3,1,4]
[5,2,5,1,1,3]=>[{4,5},{2},{6},{1,3}]=>[4,5,2,6,1,3]
[5,2,5,1,3,1]=>[{4,6},{2},{5},{1,3}]=>[4,6,2,5,1,3]
[5,2,5,3,1,1]=>[{5,6},{2},{4},{1,3}]=>[5,6,2,4,1,3]
[5,3,1,1,2,5]=>[{3,4},{5},{2},{1,6}]=>[3,4,5,2,1,6]
[5,3,1,1,5,2]=>[{3,4},{6},{2},{1,5}]=>[3,4,6,2,1,5]
[5,3,1,2,1,5]=>[{3,5},{4},{2},{1,6}]=>[3,5,4,2,1,6]
[5,3,1,2,5,1]=>[{3,6},{4},{2},{1,5}]=>[3,6,4,2,1,5]
[5,3,1,5,1,2]=>[{3,5},{6},{2},{1,4}]=>[3,5,6,2,1,4]
[5,3,1,5,2,1]=>[{3,6},{5},{2},{1,4}]=>[3,6,5,2,1,4]
[5,3,2,1,1,5]=>[{4,5},{3},{2},{1,6}]=>[4,5,3,2,1,6]
[5,3,2,1,5,1]=>[{4,6},{3},{2},{1,5}]=>[4,6,3,2,1,5]
[5,3,2,5,1,1]=>[{5,6},{3},{2},{1,4}]=>[5,6,3,2,1,4]
[5,3,5,1,1,2]=>[{4,5},{6},{2},{1,3}]=>[4,5,6,2,1,3]
[5,3,5,1,2,1]=>[{4,6},{5},{2},{1,3}]=>[4,6,5,2,1,3]
[5,3,5,2,1,1]=>[{5,6},{4},{2},{1,3}]=>[5,6,4,2,1,3]
[5,5,1,1,2,3]=>[{3,4},{5},{6},{1,2}]=>[3,4,5,6,1,2]
[5,5,1,1,3,2]=>[{3,4},{6},{5},{1,2}]=>[3,4,6,5,1,2]
[5,5,1,2,1,3]=>[{3,5},{4},{6},{1,2}]=>[3,5,4,6,1,2]
[5,5,1,2,3,1]=>[{3,6},{4},{5},{1,2}]=>[3,6,4,5,1,2]
[5,5,1,3,1,2]=>[{3,5},{6},{4},{1,2}]=>[3,5,6,4,1,2]
[5,5,1,3,2,1]=>[{3,6},{5},{4},{1,2}]=>[3,6,5,4,1,2]
[5,5,2,1,1,3]=>[{4,5},{3},{6},{1,2}]=>[4,5,3,6,1,2]
[5,5,2,1,3,1]=>[{4,6},{3},{5},{1,2}]=>[4,6,3,5,1,2]
[5,5,2,3,1,1]=>[{5,6},{3},{4},{1,2}]=>[5,6,3,4,1,2]
[5,5,3,1,1,2]=>[{4,5},{6},{3},{1,2}]=>[4,5,6,3,1,2]
[5,5,3,1,2,1]=>[{4,6},{5},{3},{1,2}]=>[4,6,5,3,1,2]
[5,5,3,2,1,1]=>[{5,6},{4},{3},{1,2}]=>[5,6,4,3,1,2]
[1,1,2,3,5,6]=>[{1,2},{3},{4},{5},{6}]=>[1,2,3,4,5,6]
[1,1,2,3,6,5]=>[{1,2},{3},{4},{6},{5}]=>[1,2,3,4,6,5]
[1,1,2,5,3,6]=>[{1,2},{3},{5},{4},{6}]=>[1,2,3,5,4,6]
[1,1,2,5,6,3]=>[{1,2},{3},{6},{4},{5}]=>[1,2,3,6,4,5]
[1,1,2,6,3,5]=>[{1,2},{3},{5},{6},{4}]=>[1,2,3,5,6,4]
[1,1,2,6,5,3]=>[{1,2},{3},{6},{5},{4}]=>[1,2,3,6,5,4]
[1,1,3,2,5,6]=>[{1,2},{4},{3},{5},{6}]=>[1,2,4,3,5,6]
[1,1,3,2,6,5]=>[{1,2},{4},{3},{6},{5}]=>[1,2,4,3,6,5]
[1,1,3,5,2,6]=>[{1,2},{5},{3},{4},{6}]=>[1,2,5,3,4,6]
[1,1,3,5,6,2]=>[{1,2},{6},{3},{4},{5}]=>[1,2,6,3,4,5]
[1,1,3,6,2,5]=>[{1,2},{5},{3},{6},{4}]=>[1,2,5,3,6,4]
[1,1,3,6,5,2]=>[{1,2},{6},{3},{5},{4}]=>[1,2,6,3,5,4]
[1,1,5,2,3,6]=>[{1,2},{4},{5},{3},{6}]=>[1,2,4,5,3,6]
[1,1,5,2,6,3]=>[{1,2},{4},{6},{3},{5}]=>[1,2,4,6,3,5]
[1,1,5,3,2,6]=>[{1,2},{5},{4},{3},{6}]=>[1,2,5,4,3,6]
[1,1,5,3,6,2]=>[{1,2},{6},{4},{3},{5}]=>[1,2,6,4,3,5]
[1,1,5,6,2,3]=>[{1,2},{5},{6},{3},{4}]=>[1,2,5,6,3,4]
[1,1,5,6,3,2]=>[{1,2},{6},{5},{3},{4}]=>[1,2,6,5,3,4]
[1,1,6,2,3,5]=>[{1,2},{4},{5},{6},{3}]=>[1,2,4,5,6,3]
[1,1,6,2,5,3]=>[{1,2},{4},{6},{5},{3}]=>[1,2,4,6,5,3]
[1,1,6,3,2,5]=>[{1,2},{5},{4},{6},{3}]=>[1,2,5,4,6,3]
[1,1,6,3,5,2]=>[{1,2},{6},{4},{5},{3}]=>[1,2,6,4,5,3]
[1,1,6,5,2,3]=>[{1,2},{5},{6},{4},{3}]=>[1,2,5,6,4,3]
[1,1,6,5,3,2]=>[{1,2},{6},{5},{4},{3}]=>[1,2,6,5,4,3]
[1,2,1,3,5,6]=>[{1,3},{2},{4},{5},{6}]=>[1,3,2,4,5,6]
[1,2,1,3,6,5]=>[{1,3},{2},{4},{6},{5}]=>[1,3,2,4,6,5]
[1,2,1,5,3,6]=>[{1,3},{2},{5},{4},{6}]=>[1,3,2,5,4,6]
[1,2,1,5,6,3]=>[{1,3},{2},{6},{4},{5}]=>[1,3,2,6,4,5]
[1,2,1,6,3,5]=>[{1,3},{2},{5},{6},{4}]=>[1,3,2,5,6,4]
[1,2,1,6,5,3]=>[{1,3},{2},{6},{5},{4}]=>[1,3,2,6,5,4]
[1,2,3,1,5,6]=>[{1,4},{2},{3},{5},{6}]=>[1,4,2,3,5,6]
[1,2,3,1,6,5]=>[{1,4},{2},{3},{6},{5}]=>[1,4,2,3,6,5]
[1,2,3,5,1,6]=>[{1,5},{2},{3},{4},{6}]=>[1,5,2,3,4,6]
[1,2,3,5,6,1]=>[{1,6},{2},{3},{4},{5}]=>[1,6,2,3,4,5]
[1,2,3,6,1,5]=>[{1,5},{2},{3},{6},{4}]=>[1,5,2,3,6,4]
[1,2,3,6,5,1]=>[{1,6},{2},{3},{5},{4}]=>[1,6,2,3,5,4]
[1,2,5,1,3,6]=>[{1,4},{2},{5},{3},{6}]=>[1,4,2,5,3,6]
[1,2,5,1,6,3]=>[{1,4},{2},{6},{3},{5}]=>[1,4,2,6,3,5]
[1,2,5,3,1,6]=>[{1,5},{2},{4},{3},{6}]=>[1,5,2,4,3,6]
[1,2,5,3,6,1]=>[{1,6},{2},{4},{3},{5}]=>[1,6,2,4,3,5]
[1,2,5,6,1,3]=>[{1,5},{2},{6},{3},{4}]=>[1,5,2,6,3,4]
[1,2,5,6,3,1]=>[{1,6},{2},{5},{3},{4}]=>[1,6,2,5,3,4]
[1,2,6,1,3,5]=>[{1,4},{2},{5},{6},{3}]=>[1,4,2,5,6,3]
[1,2,6,1,5,3]=>[{1,4},{2},{6},{5},{3}]=>[1,4,2,6,5,3]
[1,2,6,3,1,5]=>[{1,5},{2},{4},{6},{3}]=>[1,5,2,4,6,3]
[1,2,6,3,5,1]=>[{1,6},{2},{4},{5},{3}]=>[1,6,2,4,5,3]
[1,2,6,5,1,3]=>[{1,5},{2},{6},{4},{3}]=>[1,5,2,6,4,3]
[1,2,6,5,3,1]=>[{1,6},{2},{5},{4},{3}]=>[1,6,2,5,4,3]
[1,3,1,2,5,6]=>[{1,3},{4},{2},{5},{6}]=>[1,3,4,2,5,6]
[1,3,1,2,6,5]=>[{1,3},{4},{2},{6},{5}]=>[1,3,4,2,6,5]
[1,3,1,5,2,6]=>[{1,3},{5},{2},{4},{6}]=>[1,3,5,2,4,6]
[1,3,1,5,6,2]=>[{1,3},{6},{2},{4},{5}]=>[1,3,6,2,4,5]
[1,3,1,6,2,5]=>[{1,3},{5},{2},{6},{4}]=>[1,3,5,2,6,4]
[1,3,1,6,5,2]=>[{1,3},{6},{2},{5},{4}]=>[1,3,6,2,5,4]
[1,3,2,1,5,6]=>[{1,4},{3},{2},{5},{6}]=>[1,4,3,2,5,6]
[1,3,2,1,6,5]=>[{1,4},{3},{2},{6},{5}]=>[1,4,3,2,6,5]
[1,3,2,5,1,6]=>[{1,5},{3},{2},{4},{6}]=>[1,5,3,2,4,6]
[1,3,2,5,6,1]=>[{1,6},{3},{2},{4},{5}]=>[1,6,3,2,4,5]
[1,3,2,6,1,5]=>[{1,5},{3},{2},{6},{4}]=>[1,5,3,2,6,4]
[1,3,2,6,5,1]=>[{1,6},{3},{2},{5},{4}]=>[1,6,3,2,5,4]
[1,3,5,1,2,6]=>[{1,4},{5},{2},{3},{6}]=>[1,4,5,2,3,6]
[1,3,5,1,6,2]=>[{1,4},{6},{2},{3},{5}]=>[1,4,6,2,3,5]
[1,3,5,2,1,6]=>[{1,5},{4},{2},{3},{6}]=>[1,5,4,2,3,6]
[1,3,5,2,6,1]=>[{1,6},{4},{2},{3},{5}]=>[1,6,4,2,3,5]
[1,3,5,6,1,2]=>[{1,5},{6},{2},{3},{4}]=>[1,5,6,2,3,4]
[1,3,5,6,2,1]=>[{1,6},{5},{2},{3},{4}]=>[1,6,5,2,3,4]
[1,3,6,1,2,5]=>[{1,4},{5},{2},{6},{3}]=>[1,4,5,2,6,3]
[1,3,6,1,5,2]=>[{1,4},{6},{2},{5},{3}]=>[1,4,6,2,5,3]
[1,3,6,2,1,5]=>[{1,5},{4},{2},{6},{3}]=>[1,5,4,2,6,3]
[1,3,6,2,5,1]=>[{1,6},{4},{2},{5},{3}]=>[1,6,4,2,5,3]
[1,3,6,5,1,2]=>[{1,5},{6},{2},{4},{3}]=>[1,5,6,2,4,3]
[1,3,6,5,2,1]=>[{1,6},{5},{2},{4},{3}]=>[1,6,5,2,4,3]
[1,5,1,2,3,6]=>[{1,3},{4},{5},{2},{6}]=>[1,3,4,5,2,6]
[1,5,1,2,6,3]=>[{1,3},{4},{6},{2},{5}]=>[1,3,4,6,2,5]
[1,5,1,3,2,6]=>[{1,3},{5},{4},{2},{6}]=>[1,3,5,4,2,6]
[1,5,1,3,6,2]=>[{1,3},{6},{4},{2},{5}]=>[1,3,6,4,2,5]
[1,5,1,6,2,3]=>[{1,3},{5},{6},{2},{4}]=>[1,3,5,6,2,4]
[1,5,1,6,3,2]=>[{1,3},{6},{5},{2},{4}]=>[1,3,6,5,2,4]
[1,5,2,1,3,6]=>[{1,4},{3},{5},{2},{6}]=>[1,4,3,5,2,6]
[1,5,2,1,6,3]=>[{1,4},{3},{6},{2},{5}]=>[1,4,3,6,2,5]
[1,5,2,3,1,6]=>[{1,5},{3},{4},{2},{6}]=>[1,5,3,4,2,6]
[1,5,2,3,6,1]=>[{1,6},{3},{4},{2},{5}]=>[1,6,3,4,2,5]
[1,5,2,6,1,3]=>[{1,5},{3},{6},{2},{4}]=>[1,5,3,6,2,4]
[1,5,2,6,3,1]=>[{1,6},{3},{5},{2},{4}]=>[1,6,3,5,2,4]
[1,5,3,1,2,6]=>[{1,4},{5},{3},{2},{6}]=>[1,4,5,3,2,6]
[1,5,3,1,6,2]=>[{1,4},{6},{3},{2},{5}]=>[1,4,6,3,2,5]
[1,5,3,2,1,6]=>[{1,5},{4},{3},{2},{6}]=>[1,5,4,3,2,6]
[1,5,3,2,6,1]=>[{1,6},{4},{3},{2},{5}]=>[1,6,4,3,2,5]
[1,5,3,6,1,2]=>[{1,5},{6},{3},{2},{4}]=>[1,5,6,3,2,4]
[1,5,3,6,2,1]=>[{1,6},{5},{3},{2},{4}]=>[1,6,5,3,2,4]
[1,5,6,1,2,3]=>[{1,4},{5},{6},{2},{3}]=>[1,4,5,6,2,3]
[1,5,6,1,3,2]=>[{1,4},{6},{5},{2},{3}]=>[1,4,6,5,2,3]
[1,5,6,2,1,3]=>[{1,5},{4},{6},{2},{3}]=>[1,5,4,6,2,3]
[1,5,6,2,3,1]=>[{1,6},{4},{5},{2},{3}]=>[1,6,4,5,2,3]
[1,5,6,3,1,2]=>[{1,5},{6},{4},{2},{3}]=>[1,5,6,4,2,3]
[1,5,6,3,2,1]=>[{1,6},{5},{4},{2},{3}]=>[1,6,5,4,2,3]
[1,6,1,2,3,5]=>[{1,3},{4},{5},{6},{2}]=>[1,3,4,5,6,2]
[1,6,1,2,5,3]=>[{1,3},{4},{6},{5},{2}]=>[1,3,4,6,5,2]
[1,6,1,3,2,5]=>[{1,3},{5},{4},{6},{2}]=>[1,3,5,4,6,2]
[1,6,1,3,5,2]=>[{1,3},{6},{4},{5},{2}]=>[1,3,6,4,5,2]
[1,6,1,5,2,3]=>[{1,3},{5},{6},{4},{2}]=>[1,3,5,6,4,2]
[1,6,1,5,3,2]=>[{1,3},{6},{5},{4},{2}]=>[1,3,6,5,4,2]
[1,6,2,1,3,5]=>[{1,4},{3},{5},{6},{2}]=>[1,4,3,5,6,2]
[1,6,2,1,5,3]=>[{1,4},{3},{6},{5},{2}]=>[1,4,3,6,5,2]
[1,6,2,3,1,5]=>[{1,5},{3},{4},{6},{2}]=>[1,5,3,4,6,2]
[1,6,2,3,5,1]=>[{1,6},{3},{4},{5},{2}]=>[1,6,3,4,5,2]
[1,6,2,5,1,3]=>[{1,5},{3},{6},{4},{2}]=>[1,5,3,6,4,2]
[1,6,2,5,3,1]=>[{1,6},{3},{5},{4},{2}]=>[1,6,3,5,4,2]
[1,6,3,1,2,5]=>[{1,4},{5},{3},{6},{2}]=>[1,4,5,3,6,2]
[1,6,3,1,5,2]=>[{1,4},{6},{3},{5},{2}]=>[1,4,6,3,5,2]
[1,6,3,2,1,5]=>[{1,5},{4},{3},{6},{2}]=>[1,5,4,3,6,2]
[1,6,3,2,5,1]=>[{1,6},{4},{3},{5},{2}]=>[1,6,4,3,5,2]
[1,6,3,5,1,2]=>[{1,5},{6},{3},{4},{2}]=>[1,5,6,3,4,2]
[1,6,3,5,2,1]=>[{1,6},{5},{3},{4},{2}]=>[1,6,5,3,4,2]
[1,6,5,1,2,3]=>[{1,4},{5},{6},{3},{2}]=>[1,4,5,6,3,2]
[1,6,5,1,3,2]=>[{1,4},{6},{5},{3},{2}]=>[1,4,6,5,3,2]
[1,6,5,2,1,3]=>[{1,5},{4},{6},{3},{2}]=>[1,5,4,6,3,2]
[1,6,5,2,3,1]=>[{1,6},{4},{5},{3},{2}]=>[1,6,4,5,3,2]
[1,6,5,3,1,2]=>[{1,5},{6},{4},{3},{2}]=>[1,5,6,4,3,2]
[1,6,5,3,2,1]=>[{1,6},{5},{4},{3},{2}]=>[1,6,5,4,3,2]
[2,1,1,3,5,6]=>[{2,3},{1},{4},{5},{6}]=>[2,3,1,4,5,6]
[2,1,1,3,6,5]=>[{2,3},{1},{4},{6},{5}]=>[2,3,1,4,6,5]
[2,1,1,5,3,6]=>[{2,3},{1},{5},{4},{6}]=>[2,3,1,5,4,6]
[2,1,1,5,6,3]=>[{2,3},{1},{6},{4},{5}]=>[2,3,1,6,4,5]
[2,1,1,6,3,5]=>[{2,3},{1},{5},{6},{4}]=>[2,3,1,5,6,4]
[2,1,1,6,5,3]=>[{2,3},{1},{6},{5},{4}]=>[2,3,1,6,5,4]
[2,1,3,1,5,6]=>[{2,4},{1},{3},{5},{6}]=>[2,4,1,3,5,6]
[2,1,3,1,6,5]=>[{2,4},{1},{3},{6},{5}]=>[2,4,1,3,6,5]
[2,1,3,5,1,6]=>[{2,5},{1},{3},{4},{6}]=>[2,5,1,3,4,6]
[2,1,3,5,6,1]=>[{2,6},{1},{3},{4},{5}]=>[2,6,1,3,4,5]
[2,1,3,6,1,5]=>[{2,5},{1},{3},{6},{4}]=>[2,5,1,3,6,4]
[2,1,3,6,5,1]=>[{2,6},{1},{3},{5},{4}]=>[2,6,1,3,5,4]
[2,1,5,1,3,6]=>[{2,4},{1},{5},{3},{6}]=>[2,4,1,5,3,6]
[2,1,5,1,6,3]=>[{2,4},{1},{6},{3},{5}]=>[2,4,1,6,3,5]
[2,1,5,3,1,6]=>[{2,5},{1},{4},{3},{6}]=>[2,5,1,4,3,6]
[2,1,5,3,6,1]=>[{2,6},{1},{4},{3},{5}]=>[2,6,1,4,3,5]
[2,1,5,6,1,3]=>[{2,5},{1},{6},{3},{4}]=>[2,5,1,6,3,4]
[2,1,5,6,3,1]=>[{2,6},{1},{5},{3},{4}]=>[2,6,1,5,3,4]
[2,1,6,1,3,5]=>[{2,4},{1},{5},{6},{3}]=>[2,4,1,5,6,3]
[2,1,6,1,5,3]=>[{2,4},{1},{6},{5},{3}]=>[2,4,1,6,5,3]
[2,1,6,3,1,5]=>[{2,5},{1},{4},{6},{3}]=>[2,5,1,4,6,3]
[2,1,6,3,5,1]=>[{2,6},{1},{4},{5},{3}]=>[2,6,1,4,5,3]
[2,1,6,5,1,3]=>[{2,5},{1},{6},{4},{3}]=>[2,5,1,6,4,3]
[2,1,6,5,3,1]=>[{2,6},{1},{5},{4},{3}]=>[2,6,1,5,4,3]
[2,3,1,1,5,6]=>[{3,4},{1},{2},{5},{6}]=>[3,4,1,2,5,6]
[2,3,1,1,6,5]=>[{3,4},{1},{2},{6},{5}]=>[3,4,1,2,6,5]
[2,3,1,5,1,6]=>[{3,5},{1},{2},{4},{6}]=>[3,5,1,2,4,6]
[2,3,1,5,6,1]=>[{3,6},{1},{2},{4},{5}]=>[3,6,1,2,4,5]
[2,3,1,6,1,5]=>[{3,5},{1},{2},{6},{4}]=>[3,5,1,2,6,4]
[2,3,1,6,5,1]=>[{3,6},{1},{2},{5},{4}]=>[3,6,1,2,5,4]
[2,3,5,1,1,6]=>[{4,5},{1},{2},{3},{6}]=>[4,5,1,2,3,6]
[2,3,5,1,6,1]=>[{4,6},{1},{2},{3},{5}]=>[4,6,1,2,3,5]
[2,3,5,6,1,1]=>[{5,6},{1},{2},{3},{4}]=>[5,6,1,2,3,4]
[2,3,6,1,1,5]=>[{4,5},{1},{2},{6},{3}]=>[4,5,1,2,6,3]
[2,3,6,1,5,1]=>[{4,6},{1},{2},{5},{3}]=>[4,6,1,2,5,3]
[2,3,6,5,1,1]=>[{5,6},{1},{2},{4},{3}]=>[5,6,1,2,4,3]
[2,5,1,1,3,6]=>[{3,4},{1},{5},{2},{6}]=>[3,4,1,5,2,6]
[2,5,1,1,6,3]=>[{3,4},{1},{6},{2},{5}]=>[3,4,1,6,2,5]
[2,5,1,3,1,6]=>[{3,5},{1},{4},{2},{6}]=>[3,5,1,4,2,6]
[2,5,1,3,6,1]=>[{3,6},{1},{4},{2},{5}]=>[3,6,1,4,2,5]
[2,5,1,6,1,3]=>[{3,5},{1},{6},{2},{4}]=>[3,5,1,6,2,4]
[2,5,1,6,3,1]=>[{3,6},{1},{5},{2},{4}]=>[3,6,1,5,2,4]
[2,5,3,1,1,6]=>[{4,5},{1},{3},{2},{6}]=>[4,5,1,3,2,6]
[2,5,3,1,6,1]=>[{4,6},{1},{3},{2},{5}]=>[4,6,1,3,2,5]
[2,5,3,6,1,1]=>[{5,6},{1},{3},{2},{4}]=>[5,6,1,3,2,4]
[2,5,6,1,1,3]=>[{4,5},{1},{6},{2},{3}]=>[4,5,1,6,2,3]
[2,5,6,1,3,1]=>[{4,6},{1},{5},{2},{3}]=>[4,6,1,5,2,3]
[2,5,6,3,1,1]=>[{5,6},{1},{4},{2},{3}]=>[5,6,1,4,2,3]
[2,6,1,1,3,5]=>[{3,4},{1},{5},{6},{2}]=>[3,4,1,5,6,2]
[2,6,1,1,5,3]=>[{3,4},{1},{6},{5},{2}]=>[3,4,1,6,5,2]
[2,6,1,3,1,5]=>[{3,5},{1},{4},{6},{2}]=>[3,5,1,4,6,2]
[2,6,1,3,5,1]=>[{3,6},{1},{4},{5},{2}]=>[3,6,1,4,5,2]
[2,6,1,5,1,3]=>[{3,5},{1},{6},{4},{2}]=>[3,5,1,6,4,2]
[2,6,1,5,3,1]=>[{3,6},{1},{5},{4},{2}]=>[3,6,1,5,4,2]
[2,6,3,1,1,5]=>[{4,5},{1},{3},{6},{2}]=>[4,5,1,3,6,2]
[2,6,3,1,5,1]=>[{4,6},{1},{3},{5},{2}]=>[4,6,1,3,5,2]
[2,6,3,5,1,1]=>[{5,6},{1},{3},{4},{2}]=>[5,6,1,3,4,2]
[2,6,5,1,1,3]=>[{4,5},{1},{6},{3},{2}]=>[4,5,1,6,3,2]
[2,6,5,1,3,1]=>[{4,6},{1},{5},{3},{2}]=>[4,6,1,5,3,2]
[2,6,5,3,1,1]=>[{5,6},{1},{4},{3},{2}]=>[5,6,1,4,3,2]
[3,1,1,2,5,6]=>[{2,3},{4},{1},{5},{6}]=>[2,3,4,1,5,6]
[3,1,1,2,6,5]=>[{2,3},{4},{1},{6},{5}]=>[2,3,4,1,6,5]
[3,1,1,5,2,6]=>[{2,3},{5},{1},{4},{6}]=>[2,3,5,1,4,6]
[3,1,1,5,6,2]=>[{2,3},{6},{1},{4},{5}]=>[2,3,6,1,4,5]
[3,1,1,6,2,5]=>[{2,3},{5},{1},{6},{4}]=>[2,3,5,1,6,4]
[3,1,1,6,5,2]=>[{2,3},{6},{1},{5},{4}]=>[2,3,6,1,5,4]
[3,1,2,1,5,6]=>[{2,4},{3},{1},{5},{6}]=>[2,4,3,1,5,6]
[3,1,2,1,6,5]=>[{2,4},{3},{1},{6},{5}]=>[2,4,3,1,6,5]
[3,1,2,5,1,6]=>[{2,5},{3},{1},{4},{6}]=>[2,5,3,1,4,6]
[3,1,2,5,6,1]=>[{2,6},{3},{1},{4},{5}]=>[2,6,3,1,4,5]
[3,1,2,6,1,5]=>[{2,5},{3},{1},{6},{4}]=>[2,5,3,1,6,4]
[3,1,2,6,5,1]=>[{2,6},{3},{1},{5},{4}]=>[2,6,3,1,5,4]
[3,1,5,1,2,6]=>[{2,4},{5},{1},{3},{6}]=>[2,4,5,1,3,6]
[3,1,5,1,6,2]=>[{2,4},{6},{1},{3},{5}]=>[2,4,6,1,3,5]
[3,1,5,2,1,6]=>[{2,5},{4},{1},{3},{6}]=>[2,5,4,1,3,6]
[3,1,5,2,6,1]=>[{2,6},{4},{1},{3},{5}]=>[2,6,4,1,3,5]
[3,1,5,6,1,2]=>[{2,5},{6},{1},{3},{4}]=>[2,5,6,1,3,4]
[3,1,5,6,2,1]=>[{2,6},{5},{1},{3},{4}]=>[2,6,5,1,3,4]
[3,1,6,1,2,5]=>[{2,4},{5},{1},{6},{3}]=>[2,4,5,1,6,3]
[3,1,6,1,5,2]=>[{2,4},{6},{1},{5},{3}]=>[2,4,6,1,5,3]
[3,1,6,2,1,5]=>[{2,5},{4},{1},{6},{3}]=>[2,5,4,1,6,3]
[3,1,6,2,5,1]=>[{2,6},{4},{1},{5},{3}]=>[2,6,4,1,5,3]
[3,1,6,5,1,2]=>[{2,5},{6},{1},{4},{3}]=>[2,5,6,1,4,3]
[3,1,6,5,2,1]=>[{2,6},{5},{1},{4},{3}]=>[2,6,5,1,4,3]
[3,2,1,1,5,6]=>[{3,4},{2},{1},{5},{6}]=>[3,4,2,1,5,6]
[3,2,1,1,6,5]=>[{3,4},{2},{1},{6},{5}]=>[3,4,2,1,6,5]
[3,2,1,5,1,6]=>[{3,5},{2},{1},{4},{6}]=>[3,5,2,1,4,6]
[3,2,1,5,6,1]=>[{3,6},{2},{1},{4},{5}]=>[3,6,2,1,4,5]
[3,2,1,6,1,5]=>[{3,5},{2},{1},{6},{4}]=>[3,5,2,1,6,4]
[3,2,1,6,5,1]=>[{3,6},{2},{1},{5},{4}]=>[3,6,2,1,5,4]
[3,2,5,1,1,6]=>[{4,5},{2},{1},{3},{6}]=>[4,5,2,1,3,6]
[3,2,5,1,6,1]=>[{4,6},{2},{1},{3},{5}]=>[4,6,2,1,3,5]
[3,2,5,6,1,1]=>[{5,6},{2},{1},{3},{4}]=>[5,6,2,1,3,4]
[3,2,6,1,1,5]=>[{4,5},{2},{1},{6},{3}]=>[4,5,2,1,6,3]
[3,2,6,1,5,1]=>[{4,6},{2},{1},{5},{3}]=>[4,6,2,1,5,3]
[3,2,6,5,1,1]=>[{5,6},{2},{1},{4},{3}]=>[5,6,2,1,4,3]
[3,5,1,1,2,6]=>[{3,4},{5},{1},{2},{6}]=>[3,4,5,1,2,6]
[3,5,1,1,6,2]=>[{3,4},{6},{1},{2},{5}]=>[3,4,6,1,2,5]
[3,5,1,2,1,6]=>[{3,5},{4},{1},{2},{6}]=>[3,5,4,1,2,6]
[3,5,1,2,6,1]=>[{3,6},{4},{1},{2},{5}]=>[3,6,4,1,2,5]
[3,5,1,6,1,2]=>[{3,5},{6},{1},{2},{4}]=>[3,5,6,1,2,4]
[3,5,1,6,2,1]=>[{3,6},{5},{1},{2},{4}]=>[3,6,5,1,2,4]
[3,5,2,1,1,6]=>[{4,5},{3},{1},{2},{6}]=>[4,5,3,1,2,6]
[3,5,2,1,6,1]=>[{4,6},{3},{1},{2},{5}]=>[4,6,3,1,2,5]
[3,5,2,6,1,1]=>[{5,6},{3},{1},{2},{4}]=>[5,6,3,1,2,4]
[3,5,6,1,1,2]=>[{4,5},{6},{1},{2},{3}]=>[4,5,6,1,2,3]
[3,5,6,1,2,1]=>[{4,6},{5},{1},{2},{3}]=>[4,6,5,1,2,3]
[3,5,6,2,1,1]=>[{5,6},{4},{1},{2},{3}]=>[5,6,4,1,2,3]
[3,6,1,1,2,5]=>[{3,4},{5},{1},{6},{2}]=>[3,4,5,1,6,2]
[3,6,1,1,5,2]=>[{3,4},{6},{1},{5},{2}]=>[3,4,6,1,5,2]
[3,6,1,2,1,5]=>[{3,5},{4},{1},{6},{2}]=>[3,5,4,1,6,2]
[3,6,1,2,5,1]=>[{3,6},{4},{1},{5},{2}]=>[3,6,4,1,5,2]
[3,6,1,5,1,2]=>[{3,5},{6},{1},{4},{2}]=>[3,5,6,1,4,2]
[3,6,1,5,2,1]=>[{3,6},{5},{1},{4},{2}]=>[3,6,5,1,4,2]
[3,6,2,1,1,5]=>[{4,5},{3},{1},{6},{2}]=>[4,5,3,1,6,2]
[3,6,2,1,5,1]=>[{4,6},{3},{1},{5},{2}]=>[4,6,3,1,5,2]
[3,6,2,5,1,1]=>[{5,6},{3},{1},{4},{2}]=>[5,6,3,1,4,2]
[3,6,5,1,1,2]=>[{4,5},{6},{1},{3},{2}]=>[4,5,6,1,3,2]
[3,6,5,1,2,1]=>[{4,6},{5},{1},{3},{2}]=>[4,6,5,1,3,2]
[3,6,5,2,1,1]=>[{5,6},{4},{1},{3},{2}]=>[5,6,4,1,3,2]
[5,1,1,2,3,6]=>[{2,3},{4},{5},{1},{6}]=>[2,3,4,5,1,6]
[5,1,1,2,6,3]=>[{2,3},{4},{6},{1},{5}]=>[2,3,4,6,1,5]
[5,1,1,3,2,6]=>[{2,3},{5},{4},{1},{6}]=>[2,3,5,4,1,6]
[5,1,1,3,6,2]=>[{2,3},{6},{4},{1},{5}]=>[2,3,6,4,1,5]
[5,1,1,6,2,3]=>[{2,3},{5},{6},{1},{4}]=>[2,3,5,6,1,4]
[5,1,1,6,3,2]=>[{2,3},{6},{5},{1},{4}]=>[2,3,6,5,1,4]
[5,1,2,1,3,6]=>[{2,4},{3},{5},{1},{6}]=>[2,4,3,5,1,6]
[5,1,2,1,6,3]=>[{2,4},{3},{6},{1},{5}]=>[2,4,3,6,1,5]
[5,1,2,3,1,6]=>[{2,5},{3},{4},{1},{6}]=>[2,5,3,4,1,6]
[5,1,2,3,6,1]=>[{2,6},{3},{4},{1},{5}]=>[2,6,3,4,1,5]
[5,1,2,6,1,3]=>[{2,5},{3},{6},{1},{4}]=>[2,5,3,6,1,4]
[5,1,2,6,3,1]=>[{2,6},{3},{5},{1},{4}]=>[2,6,3,5,1,4]
[5,1,3,1,2,6]=>[{2,4},{5},{3},{1},{6}]=>[2,4,5,3,1,6]
[5,1,3,1,6,2]=>[{2,4},{6},{3},{1},{5}]=>[2,4,6,3,1,5]
[5,1,3,2,1,6]=>[{2,5},{4},{3},{1},{6}]=>[2,5,4,3,1,6]
[5,1,3,2,6,1]=>[{2,6},{4},{3},{1},{5}]=>[2,6,4,3,1,5]
[5,1,3,6,1,2]=>[{2,5},{6},{3},{1},{4}]=>[2,5,6,3,1,4]
[5,1,3,6,2,1]=>[{2,6},{5},{3},{1},{4}]=>[2,6,5,3,1,4]
[5,1,6,1,2,3]=>[{2,4},{5},{6},{1},{3}]=>[2,4,5,6,1,3]
[5,1,6,1,3,2]=>[{2,4},{6},{5},{1},{3}]=>[2,4,6,5,1,3]
[5,1,6,2,1,3]=>[{2,5},{4},{6},{1},{3}]=>[2,5,4,6,1,3]
[5,1,6,2,3,1]=>[{2,6},{4},{5},{1},{3}]=>[2,6,4,5,1,3]
[5,1,6,3,1,2]=>[{2,5},{6},{4},{1},{3}]=>[2,5,6,4,1,3]
[5,1,6,3,2,1]=>[{2,6},{5},{4},{1},{3}]=>[2,6,5,4,1,3]
[5,2,1,1,3,6]=>[{3,4},{2},{5},{1},{6}]=>[3,4,2,5,1,6]
[5,2,1,1,6,3]=>[{3,4},{2},{6},{1},{5}]=>[3,4,2,6,1,5]
[5,2,1,3,1,6]=>[{3,5},{2},{4},{1},{6}]=>[3,5,2,4,1,6]
[5,2,1,3,6,1]=>[{3,6},{2},{4},{1},{5}]=>[3,6,2,4,1,5]
[5,2,1,6,1,3]=>[{3,5},{2},{6},{1},{4}]=>[3,5,2,6,1,4]
[5,2,1,6,3,1]=>[{3,6},{2},{5},{1},{4}]=>[3,6,2,5,1,4]
[5,2,3,1,1,6]=>[{4,5},{2},{3},{1},{6}]=>[4,5,2,3,1,6]
[5,2,3,1,6,1]=>[{4,6},{2},{3},{1},{5}]=>[4,6,2,3,1,5]
[5,2,3,6,1,1]=>[{5,6},{2},{3},{1},{4}]=>[5,6,2,3,1,4]
[5,2,6,1,1,3]=>[{4,5},{2},{6},{1},{3}]=>[4,5,2,6,1,3]
[5,2,6,1,3,1]=>[{4,6},{2},{5},{1},{3}]=>[4,6,2,5,1,3]
[5,2,6,3,1,1]=>[{5,6},{2},{4},{1},{3}]=>[5,6,2,4,1,3]
[5,3,1,1,2,6]=>[{3,4},{5},{2},{1},{6}]=>[3,4,5,2,1,6]
[5,3,1,1,6,2]=>[{3,4},{6},{2},{1},{5}]=>[3,4,6,2,1,5]
[5,3,1,2,1,6]=>[{3,5},{4},{2},{1},{6}]=>[3,5,4,2,1,6]
[5,3,1,2,6,1]=>[{3,6},{4},{2},{1},{5}]=>[3,6,4,2,1,5]
[5,3,1,6,1,2]=>[{3,5},{6},{2},{1},{4}]=>[3,5,6,2,1,4]
[5,3,1,6,2,1]=>[{3,6},{5},{2},{1},{4}]=>[3,6,5,2,1,4]
[5,3,2,1,1,6]=>[{4,5},{3},{2},{1},{6}]=>[4,5,3,2,1,6]
[5,3,2,1,6,1]=>[{4,6},{3},{2},{1},{5}]=>[4,6,3,2,1,5]
[5,3,2,6,1,1]=>[{5,6},{3},{2},{1},{4}]=>[5,6,3,2,1,4]
[5,3,6,1,1,2]=>[{4,5},{6},{2},{1},{3}]=>[4,5,6,2,1,3]
[5,3,6,1,2,1]=>[{4,6},{5},{2},{1},{3}]=>[4,6,5,2,1,3]
[5,3,6,2,1,1]=>[{5,6},{4},{2},{1},{3}]=>[5,6,4,2,1,3]
[5,6,1,1,2,3]=>[{3,4},{5},{6},{1},{2}]=>[3,4,5,6,1,2]
[5,6,1,1,3,2]=>[{3,4},{6},{5},{1},{2}]=>[3,4,6,5,1,2]
[5,6,1,2,1,3]=>[{3,5},{4},{6},{1},{2}]=>[3,5,4,6,1,2]
[5,6,1,2,3,1]=>[{3,6},{4},{5},{1},{2}]=>[3,6,4,5,1,2]
[5,6,1,3,1,2]=>[{3,5},{6},{4},{1},{2}]=>[3,5,6,4,1,2]
[5,6,1,3,2,1]=>[{3,6},{5},{4},{1},{2}]=>[3,6,5,4,1,2]
[5,6,2,1,1,3]=>[{4,5},{3},{6},{1},{2}]=>[4,5,3,6,1,2]
[5,6,2,1,3,1]=>[{4,6},{3},{5},{1},{2}]=>[4,6,3,5,1,2]
[5,6,2,3,1,1]=>[{5,6},{3},{4},{1},{2}]=>[5,6,3,4,1,2]
[5,6,3,1,1,2]=>[{4,5},{6},{3},{1},{2}]=>[4,5,6,3,1,2]
[5,6,3,1,2,1]=>[{4,6},{5},{3},{1},{2}]=>[4,6,5,3,1,2]
[5,6,3,2,1,1]=>[{5,6},{4},{3},{1},{2}]=>[5,6,4,3,1,2]
[6,1,1,2,3,5]=>[{2,3},{4},{5},{6},{1}]=>[2,3,4,5,6,1]
[6,1,1,2,5,3]=>[{2,3},{4},{6},{5},{1}]=>[2,3,4,6,5,1]
[6,1,1,3,2,5]=>[{2,3},{5},{4},{6},{1}]=>[2,3,5,4,6,1]
[6,1,1,3,5,2]=>[{2,3},{6},{4},{5},{1}]=>[2,3,6,4,5,1]
[6,1,1,5,2,3]=>[{2,3},{5},{6},{4},{1}]=>[2,3,5,6,4,1]
[6,1,1,5,3,2]=>[{2,3},{6},{5},{4},{1}]=>[2,3,6,5,4,1]
[6,1,2,1,3,5]=>[{2,4},{3},{5},{6},{1}]=>[2,4,3,5,6,1]
[6,1,2,1,5,3]=>[{2,4},{3},{6},{5},{1}]=>[2,4,3,6,5,1]
[6,1,2,3,1,5]=>[{2,5},{3},{4},{6},{1}]=>[2,5,3,4,6,1]
[6,1,2,3,5,1]=>[{2,6},{3},{4},{5},{1}]=>[2,6,3,4,5,1]
[6,1,2,5,1,3]=>[{2,5},{3},{6},{4},{1}]=>[2,5,3,6,4,1]
[6,1,2,5,3,1]=>[{2,6},{3},{5},{4},{1}]=>[2,6,3,5,4,1]
[6,1,3,1,2,5]=>[{2,4},{5},{3},{6},{1}]=>[2,4,5,3,6,1]
[6,1,3,1,5,2]=>[{2,4},{6},{3},{5},{1}]=>[2,4,6,3,5,1]
[6,1,3,2,1,5]=>[{2,5},{4},{3},{6},{1}]=>[2,5,4,3,6,1]
[6,1,3,2,5,1]=>[{2,6},{4},{3},{5},{1}]=>[2,6,4,3,5,1]
[6,1,3,5,1,2]=>[{2,5},{6},{3},{4},{1}]=>[2,5,6,3,4,1]
[6,1,3,5,2,1]=>[{2,6},{5},{3},{4},{1}]=>[2,6,5,3,4,1]
[6,1,5,1,2,3]=>[{2,4},{5},{6},{3},{1}]=>[2,4,5,6,3,1]
[6,1,5,1,3,2]=>[{2,4},{6},{5},{3},{1}]=>[2,4,6,5,3,1]
[6,1,5,2,1,3]=>[{2,5},{4},{6},{3},{1}]=>[2,5,4,6,3,1]
[6,1,5,2,3,1]=>[{2,6},{4},{5},{3},{1}]=>[2,6,4,5,3,1]
[6,1,5,3,1,2]=>[{2,5},{6},{4},{3},{1}]=>[2,5,6,4,3,1]
[6,1,5,3,2,1]=>[{2,6},{5},{4},{3},{1}]=>[2,6,5,4,3,1]
[6,2,1,1,3,5]=>[{3,4},{2},{5},{6},{1}]=>[3,4,2,5,6,1]
[6,2,1,1,5,3]=>[{3,4},{2},{6},{5},{1}]=>[3,4,2,6,5,1]
[6,2,1,3,1,5]=>[{3,5},{2},{4},{6},{1}]=>[3,5,2,4,6,1]
[6,2,1,3,5,1]=>[{3,6},{2},{4},{5},{1}]=>[3,6,2,4,5,1]
[6,2,1,5,1,3]=>[{3,5},{2},{6},{4},{1}]=>[3,5,2,6,4,1]
[6,2,1,5,3,1]=>[{3,6},{2},{5},{4},{1}]=>[3,6,2,5,4,1]
[6,2,3,1,1,5]=>[{4,5},{2},{3},{6},{1}]=>[4,5,2,3,6,1]
[6,2,3,1,5,1]=>[{4,6},{2},{3},{5},{1}]=>[4,6,2,3,5,1]
[6,2,3,5,1,1]=>[{5,6},{2},{3},{4},{1}]=>[5,6,2,3,4,1]
[6,2,5,1,1,3]=>[{4,5},{2},{6},{3},{1}]=>[4,5,2,6,3,1]
[6,2,5,1,3,1]=>[{4,6},{2},{5},{3},{1}]=>[4,6,2,5,3,1]
[6,2,5,3,1,1]=>[{5,6},{2},{4},{3},{1}]=>[5,6,2,4,3,1]
[6,3,1,1,2,5]=>[{3,4},{5},{2},{6},{1}]=>[3,4,5,2,6,1]
[6,3,1,1,5,2]=>[{3,4},{6},{2},{5},{1}]=>[3,4,6,2,5,1]
[6,3,1,2,1,5]=>[{3,5},{4},{2},{6},{1}]=>[3,5,4,2,6,1]
[6,3,1,2,5,1]=>[{3,6},{4},{2},{5},{1}]=>[3,6,4,2,5,1]
[6,3,1,5,1,2]=>[{3,5},{6},{2},{4},{1}]=>[3,5,6,2,4,1]
[6,3,1,5,2,1]=>[{3,6},{5},{2},{4},{1}]=>[3,6,5,2,4,1]
[6,3,2,1,1,5]=>[{4,5},{3},{2},{6},{1}]=>[4,5,3,2,6,1]
[6,3,2,1,5,1]=>[{4,6},{3},{2},{5},{1}]=>[4,6,3,2,5,1]
[6,3,2,5,1,1]=>[{5,6},{3},{2},{4},{1}]=>[5,6,3,2,4,1]
[6,3,5,1,1,2]=>[{4,5},{6},{2},{3},{1}]=>[4,5,6,2,3,1]
[6,3,5,1,2,1]=>[{4,6},{5},{2},{3},{1}]=>[4,6,5,2,3,1]
[6,3,5,2,1,1]=>[{5,6},{4},{2},{3},{1}]=>[5,6,4,2,3,1]
[6,5,1,1,2,3]=>[{3,4},{5},{6},{2},{1}]=>[3,4,5,6,2,1]
[6,5,1,1,3,2]=>[{3,4},{6},{5},{2},{1}]=>[3,4,6,5,2,1]
[6,5,1,2,1,3]=>[{3,5},{4},{6},{2},{1}]=>[3,5,4,6,2,1]
[6,5,1,2,3,1]=>[{3,6},{4},{5},{2},{1}]=>[3,6,4,5,2,1]
[6,5,1,3,1,2]=>[{3,5},{6},{4},{2},{1}]=>[3,5,6,4,2,1]
[6,5,1,3,2,1]=>[{3,6},{5},{4},{2},{1}]=>[3,6,5,4,2,1]
[6,5,2,1,1,3]=>[{4,5},{3},{6},{2},{1}]=>[4,5,3,6,2,1]
[6,5,2,1,3,1]=>[{4,6},{3},{5},{2},{1}]=>[4,6,3,5,2,1]
[6,5,2,3,1,1]=>[{5,6},{3},{4},{2},{1}]=>[5,6,3,4,2,1]
[6,5,3,1,1,2]=>[{4,5},{6},{3},{2},{1}]=>[4,5,6,3,2,1]
[6,5,3,1,2,1]=>[{4,6},{5},{3},{2},{1}]=>[4,6,5,3,2,1]
[6,5,3,2,1,1]=>[{5,6},{4},{3},{2},{1}]=>[5,6,4,3,2,1]
[1,1,2,4,4,4]=>[{1,2},{3},{4,5,6}]=>[1,2,3,4,5,6]
[1,1,4,2,4,4]=>[{1,2},{4},{3,5,6}]=>[1,2,4,3,5,6]
[1,1,4,4,2,4]=>[{1,2},{5},{3,4,6}]=>[1,2,5,3,4,6]
[1,1,4,4,4,2]=>[{1,2},{6},{3,4,5}]=>[1,2,6,3,4,5]
[1,2,1,4,4,4]=>[{1,3},{2},{4,5,6}]=>[1,3,2,4,5,6]
[1,2,4,1,4,4]=>[{1,4},{2},{3,5,6}]=>[1,4,2,3,5,6]
[1,2,4,4,1,4]=>[{1,5},{2},{3,4,6}]=>[1,5,2,3,4,6]
[1,2,4,4,4,1]=>[{1,6},{2},{3,4,5}]=>[1,6,2,3,4,5]
[1,4,1,2,4,4]=>[{1,3},{4},{2,5,6}]=>[1,3,4,2,5,6]
[1,4,1,4,2,4]=>[{1,3},{5},{2,4,6}]=>[1,3,5,2,4,6]
[1,4,1,4,4,2]=>[{1,3},{6},{2,4,5}]=>[1,3,6,2,4,5]
[1,4,2,1,4,4]=>[{1,4},{3},{2,5,6}]=>[1,4,3,2,5,6]
[1,4,2,4,1,4]=>[{1,5},{3},{2,4,6}]=>[1,5,3,2,4,6]
[1,4,2,4,4,1]=>[{1,6},{3},{2,4,5}]=>[1,6,3,2,4,5]
[1,4,4,1,2,4]=>[{1,4},{5},{2,3,6}]=>[1,4,5,2,3,6]
[1,4,4,1,4,2]=>[{1,4},{6},{2,3,5}]=>[1,4,6,2,3,5]
[1,4,4,2,1,4]=>[{1,5},{4},{2,3,6}]=>[1,5,4,2,3,6]
[1,4,4,2,4,1]=>[{1,6},{4},{2,3,5}]=>[1,6,4,2,3,5]
[1,4,4,4,1,2]=>[{1,5},{6},{2,3,4}]=>[1,5,6,2,3,4]
[1,4,4,4,2,1]=>[{1,6},{5},{2,3,4}]=>[1,6,5,2,3,4]
[2,1,1,4,4,4]=>[{2,3},{1},{4,5,6}]=>[2,3,1,4,5,6]
[2,1,4,1,4,4]=>[{2,4},{1},{3,5,6}]=>[2,4,1,3,5,6]
[2,1,4,4,1,4]=>[{2,5},{1},{3,4,6}]=>[2,5,1,3,4,6]
[2,1,4,4,4,1]=>[{2,6},{1},{3,4,5}]=>[2,6,1,3,4,5]
[2,4,1,1,4,4]=>[{3,4},{1},{2,5,6}]=>[3,4,1,2,5,6]
[2,4,1,4,1,4]=>[{3,5},{1},{2,4,6}]=>[3,5,1,2,4,6]
[2,4,1,4,4,1]=>[{3,6},{1},{2,4,5}]=>[3,6,1,2,4,5]
[2,4,4,1,1,4]=>[{4,5},{1},{2,3,6}]=>[4,5,1,2,3,6]
[2,4,4,1,4,1]=>[{4,6},{1},{2,3,5}]=>[4,6,1,2,3,5]
[2,4,4,4,1,1]=>[{5,6},{1},{2,3,4}]=>[5,6,1,2,3,4]
[4,1,1,2,4,4]=>[{2,3},{4},{1,5,6}]=>[2,3,4,1,5,6]
[4,1,1,4,2,4]=>[{2,3},{5},{1,4,6}]=>[2,3,5,1,4,6]
[4,1,1,4,4,2]=>[{2,3},{6},{1,4,5}]=>[2,3,6,1,4,5]
[4,1,2,1,4,4]=>[{2,4},{3},{1,5,6}]=>[2,4,3,1,5,6]
[4,1,2,4,1,4]=>[{2,5},{3},{1,4,6}]=>[2,5,3,1,4,6]
[4,1,2,4,4,1]=>[{2,6},{3},{1,4,5}]=>[2,6,3,1,4,5]
[4,1,4,1,2,4]=>[{2,4},{5},{1,3,6}]=>[2,4,5,1,3,6]
[4,1,4,1,4,2]=>[{2,4},{6},{1,3,5}]=>[2,4,6,1,3,5]
[4,1,4,2,1,4]=>[{2,5},{4},{1,3,6}]=>[2,5,4,1,3,6]
[4,1,4,2,4,1]=>[{2,6},{4},{1,3,5}]=>[2,6,4,1,3,5]
[4,1,4,4,1,2]=>[{2,5},{6},{1,3,4}]=>[2,5,6,1,3,4]
[4,1,4,4,2,1]=>[{2,6},{5},{1,3,4}]=>[2,6,5,1,3,4]
[4,2,1,1,4,4]=>[{3,4},{2},{1,5,6}]=>[3,4,2,1,5,6]
[4,2,1,4,1,4]=>[{3,5},{2},{1,4,6}]=>[3,5,2,1,4,6]
[4,2,1,4,4,1]=>[{3,6},{2},{1,4,5}]=>[3,6,2,1,4,5]
[4,2,4,1,1,4]=>[{4,5},{2},{1,3,6}]=>[4,5,2,1,3,6]
[4,2,4,1,4,1]=>[{4,6},{2},{1,3,5}]=>[4,6,2,1,3,5]
[4,2,4,4,1,1]=>[{5,6},{2},{1,3,4}]=>[5,6,2,1,3,4]
[4,4,1,1,2,4]=>[{3,4},{5},{1,2,6}]=>[3,4,5,1,2,6]
[4,4,1,1,4,2]=>[{3,4},{6},{1,2,5}]=>[3,4,6,1,2,5]
[4,4,1,2,1,4]=>[{3,5},{4},{1,2,6}]=>[3,5,4,1,2,6]
[4,4,1,2,4,1]=>[{3,6},{4},{1,2,5}]=>[3,6,4,1,2,5]
[4,4,1,4,1,2]=>[{3,5},{6},{1,2,4}]=>[3,5,6,1,2,4]
[4,4,1,4,2,1]=>[{3,6},{5},{1,2,4}]=>[3,6,5,1,2,4]
[4,4,2,1,1,4]=>[{4,5},{3},{1,2,6}]=>[4,5,3,1,2,6]
[4,4,2,1,4,1]=>[{4,6},{3},{1,2,5}]=>[4,6,3,1,2,5]
[4,4,2,4,1,1]=>[{5,6},{3},{1,2,4}]=>[5,6,3,1,2,4]
[4,4,4,1,1,2]=>[{4,5},{6},{1,2,3}]=>[4,5,6,1,2,3]
[4,4,4,1,2,1]=>[{4,6},{5},{1,2,3}]=>[4,6,5,1,2,3]
[4,4,4,2,1,1]=>[{5,6},{4},{1,2,3}]=>[5,6,4,1,2,3]
[1,1,2,4,4,5]=>[{1,2},{3},{4,5},{6}]=>[1,2,3,4,5,6]
[1,1,2,4,5,4]=>[{1,2},{3},{4,6},{5}]=>[1,2,3,4,6,5]
[1,1,2,5,4,4]=>[{1,2},{3},{5,6},{4}]=>[1,2,3,5,6,4]
[1,1,4,2,4,5]=>[{1,2},{4},{3,5},{6}]=>[1,2,4,3,5,6]
[1,1,4,2,5,4]=>[{1,2},{4},{3,6},{5}]=>[1,2,4,3,6,5]
[1,1,4,4,2,5]=>[{1,2},{5},{3,4},{6}]=>[1,2,5,3,4,6]
[1,1,4,4,5,2]=>[{1,2},{6},{3,4},{5}]=>[1,2,6,3,4,5]
[1,1,4,5,2,4]=>[{1,2},{5},{3,6},{4}]=>[1,2,5,3,6,4]
[1,1,4,5,4,2]=>[{1,2},{6},{3,5},{4}]=>[1,2,6,3,5,4]
[1,1,5,2,4,4]=>[{1,2},{4},{5,6},{3}]=>[1,2,4,5,6,3]
[1,1,5,4,2,4]=>[{1,2},{5},{4,6},{3}]=>[1,2,5,4,6,3]
[1,1,5,4,4,2]=>[{1,2},{6},{4,5},{3}]=>[1,2,6,4,5,3]
[1,2,1,4,4,5]=>[{1,3},{2},{4,5},{6}]=>[1,3,2,4,5,6]
[1,2,1,4,5,4]=>[{1,3},{2},{4,6},{5}]=>[1,3,2,4,6,5]
[1,2,1,5,4,4]=>[{1,3},{2},{5,6},{4}]=>[1,3,2,5,6,4]
[1,2,4,1,4,5]=>[{1,4},{2},{3,5},{6}]=>[1,4,2,3,5,6]
[1,2,4,1,5,4]=>[{1,4},{2},{3,6},{5}]=>[1,4,2,3,6,5]
[1,2,4,4,1,5]=>[{1,5},{2},{3,4},{6}]=>[1,5,2,3,4,6]
[1,2,4,4,5,1]=>[{1,6},{2},{3,4},{5}]=>[1,6,2,3,4,5]
[1,2,4,5,1,4]=>[{1,5},{2},{3,6},{4}]=>[1,5,2,3,6,4]
[1,2,4,5,4,1]=>[{1,6},{2},{3,5},{4}]=>[1,6,2,3,5,4]
[1,2,5,1,4,4]=>[{1,4},{2},{5,6},{3}]=>[1,4,2,5,6,3]
[1,2,5,4,1,4]=>[{1,5},{2},{4,6},{3}]=>[1,5,2,4,6,3]
[1,2,5,4,4,1]=>[{1,6},{2},{4,5},{3}]=>[1,6,2,4,5,3]
[1,4,1,2,4,5]=>[{1,3},{4},{2,5},{6}]=>[1,3,4,2,5,6]
[1,4,1,2,5,4]=>[{1,3},{4},{2,6},{5}]=>[1,3,4,2,6,5]
[1,4,1,4,2,5]=>[{1,3},{5},{2,4},{6}]=>[1,3,5,2,4,6]
[1,4,1,4,5,2]=>[{1,3},{6},{2,4},{5}]=>[1,3,6,2,4,5]
[1,4,1,5,2,4]=>[{1,3},{5},{2,6},{4}]=>[1,3,5,2,6,4]
[1,4,1,5,4,2]=>[{1,3},{6},{2,5},{4}]=>[1,3,6,2,5,4]
[1,4,2,1,4,5]=>[{1,4},{3},{2,5},{6}]=>[1,4,3,2,5,6]
[1,4,2,1,5,4]=>[{1,4},{3},{2,6},{5}]=>[1,4,3,2,6,5]
[1,4,2,4,1,5]=>[{1,5},{3},{2,4},{6}]=>[1,5,3,2,4,6]
[1,4,2,4,5,1]=>[{1,6},{3},{2,4},{5}]=>[1,6,3,2,4,5]
[1,4,2,5,1,4]=>[{1,5},{3},{2,6},{4}]=>[1,5,3,2,6,4]
[1,4,2,5,4,1]=>[{1,6},{3},{2,5},{4}]=>[1,6,3,2,5,4]
[1,4,4,1,2,5]=>[{1,4},{5},{2,3},{6}]=>[1,4,5,2,3,6]
[1,4,4,1,5,2]=>[{1,4},{6},{2,3},{5}]=>[1,4,6,2,3,5]
[1,4,4,2,1,5]=>[{1,5},{4},{2,3},{6}]=>[1,5,4,2,3,6]
[1,4,4,2,5,1]=>[{1,6},{4},{2,3},{5}]=>[1,6,4,2,3,5]
[1,4,4,5,1,2]=>[{1,5},{6},{2,3},{4}]=>[1,5,6,2,3,4]
[1,4,4,5,2,1]=>[{1,6},{5},{2,3},{4}]=>[1,6,5,2,3,4]
[1,4,5,1,2,4]=>[{1,4},{5},{2,6},{3}]=>[1,4,5,2,6,3]
[1,4,5,1,4,2]=>[{1,4},{6},{2,5},{3}]=>[1,4,6,2,5,3]
[1,4,5,2,1,4]=>[{1,5},{4},{2,6},{3}]=>[1,5,4,2,6,3]
[1,4,5,2,4,1]=>[{1,6},{4},{2,5},{3}]=>[1,6,4,2,5,3]
[1,4,5,4,1,2]=>[{1,5},{6},{2,4},{3}]=>[1,5,6,2,4,3]
[1,4,5,4,2,1]=>[{1,6},{5},{2,4},{3}]=>[1,6,5,2,4,3]
[1,5,1,2,4,4]=>[{1,3},{4},{5,6},{2}]=>[1,3,4,5,6,2]
[1,5,1,4,2,4]=>[{1,3},{5},{4,6},{2}]=>[1,3,5,4,6,2]
[1,5,1,4,4,2]=>[{1,3},{6},{4,5},{2}]=>[1,3,6,4,5,2]
[1,5,2,1,4,4]=>[{1,4},{3},{5,6},{2}]=>[1,4,3,5,6,2]
[1,5,2,4,1,4]=>[{1,5},{3},{4,6},{2}]=>[1,5,3,4,6,2]
[1,5,2,4,4,1]=>[{1,6},{3},{4,5},{2}]=>[1,6,3,4,5,2]
[1,5,4,1,2,4]=>[{1,4},{5},{3,6},{2}]=>[1,4,5,3,6,2]
[1,5,4,1,4,2]=>[{1,4},{6},{3,5},{2}]=>[1,4,6,3,5,2]
[1,5,4,2,1,4]=>[{1,5},{4},{3,6},{2}]=>[1,5,4,3,6,2]
[1,5,4,2,4,1]=>[{1,6},{4},{3,5},{2}]=>[1,6,4,3,5,2]
[1,5,4,4,1,2]=>[{1,5},{6},{3,4},{2}]=>[1,5,6,3,4,2]
[1,5,4,4,2,1]=>[{1,6},{5},{3,4},{2}]=>[1,6,5,3,4,2]
[2,1,1,4,4,5]=>[{2,3},{1},{4,5},{6}]=>[2,3,1,4,5,6]
[2,1,1,4,5,4]=>[{2,3},{1},{4,6},{5}]=>[2,3,1,4,6,5]
[2,1,1,5,4,4]=>[{2,3},{1},{5,6},{4}]=>[2,3,1,5,6,4]
[2,1,4,1,4,5]=>[{2,4},{1},{3,5},{6}]=>[2,4,1,3,5,6]
[2,1,4,1,5,4]=>[{2,4},{1},{3,6},{5}]=>[2,4,1,3,6,5]
[2,1,4,4,1,5]=>[{2,5},{1},{3,4},{6}]=>[2,5,1,3,4,6]
[2,1,4,4,5,1]=>[{2,6},{1},{3,4},{5}]=>[2,6,1,3,4,5]
[2,1,4,5,1,4]=>[{2,5},{1},{3,6},{4}]=>[2,5,1,3,6,4]
[2,1,4,5,4,1]=>[{2,6},{1},{3,5},{4}]=>[2,6,1,3,5,4]
[2,1,5,1,4,4]=>[{2,4},{1},{5,6},{3}]=>[2,4,1,5,6,3]
[2,1,5,4,1,4]=>[{2,5},{1},{4,6},{3}]=>[2,5,1,4,6,3]
[2,1,5,4,4,1]=>[{2,6},{1},{4,5},{3}]=>[2,6,1,4,5,3]
[2,4,1,1,4,5]=>[{3,4},{1},{2,5},{6}]=>[3,4,1,2,5,6]
[2,4,1,1,5,4]=>[{3,4},{1},{2,6},{5}]=>[3,4,1,2,6,5]
[2,4,1,4,1,5]=>[{3,5},{1},{2,4},{6}]=>[3,5,1,2,4,6]
[2,4,1,4,5,1]=>[{3,6},{1},{2,4},{5}]=>[3,6,1,2,4,5]
[2,4,1,5,1,4]=>[{3,5},{1},{2,6},{4}]=>[3,5,1,2,6,4]
[2,4,1,5,4,1]=>[{3,6},{1},{2,5},{4}]=>[3,6,1,2,5,4]
[2,4,4,1,1,5]=>[{4,5},{1},{2,3},{6}]=>[4,5,1,2,3,6]
[2,4,4,1,5,1]=>[{4,6},{1},{2,3},{5}]=>[4,6,1,2,3,5]
[2,4,4,5,1,1]=>[{5,6},{1},{2,3},{4}]=>[5,6,1,2,3,4]
[2,4,5,1,1,4]=>[{4,5},{1},{2,6},{3}]=>[4,5,1,2,6,3]
[2,4,5,1,4,1]=>[{4,6},{1},{2,5},{3}]=>[4,6,1,2,5,3]
[2,4,5,4,1,1]=>[{5,6},{1},{2,4},{3}]=>[5,6,1,2,4,3]
[2,5,1,1,4,4]=>[{3,4},{1},{5,6},{2}]=>[3,4,1,5,6,2]
[2,5,1,4,1,4]=>[{3,5},{1},{4,6},{2}]=>[3,5,1,4,6,2]
[2,5,1,4,4,1]=>[{3,6},{1},{4,5},{2}]=>[3,6,1,4,5,2]
[2,5,4,1,1,4]=>[{4,5},{1},{3,6},{2}]=>[4,5,1,3,6,2]
[2,5,4,1,4,1]=>[{4,6},{1},{3,5},{2}]=>[4,6,1,3,5,2]
[2,5,4,4,1,1]=>[{5,6},{1},{3,4},{2}]=>[5,6,1,3,4,2]
[4,1,1,2,4,5]=>[{2,3},{4},{1,5},{6}]=>[2,3,4,1,5,6]
[4,1,1,2,5,4]=>[{2,3},{4},{1,6},{5}]=>[2,3,4,1,6,5]
[4,1,1,4,2,5]=>[{2,3},{5},{1,4},{6}]=>[2,3,5,1,4,6]
[4,1,1,4,5,2]=>[{2,3},{6},{1,4},{5}]=>[2,3,6,1,4,5]
[4,1,1,5,2,4]=>[{2,3},{5},{1,6},{4}]=>[2,3,5,1,6,4]
[4,1,1,5,4,2]=>[{2,3},{6},{1,5},{4}]=>[2,3,6,1,5,4]
[4,1,2,1,4,5]=>[{2,4},{3},{1,5},{6}]=>[2,4,3,1,5,6]
[4,1,2,1,5,4]=>[{2,4},{3},{1,6},{5}]=>[2,4,3,1,6,5]
[4,1,2,4,1,5]=>[{2,5},{3},{1,4},{6}]=>[2,5,3,1,4,6]
[4,1,2,4,5,1]=>[{2,6},{3},{1,4},{5}]=>[2,6,3,1,4,5]
[4,1,2,5,1,4]=>[{2,5},{3},{1,6},{4}]=>[2,5,3,1,6,4]
[4,1,2,5,4,1]=>[{2,6},{3},{1,5},{4}]=>[2,6,3,1,5,4]
[4,1,4,1,2,5]=>[{2,4},{5},{1,3},{6}]=>[2,4,5,1,3,6]
[4,1,4,1,5,2]=>[{2,4},{6},{1,3},{5}]=>[2,4,6,1,3,5]
[4,1,4,2,1,5]=>[{2,5},{4},{1,3},{6}]=>[2,5,4,1,3,6]
[4,1,4,2,5,1]=>[{2,6},{4},{1,3},{5}]=>[2,6,4,1,3,5]
[4,1,4,5,1,2]=>[{2,5},{6},{1,3},{4}]=>[2,5,6,1,3,4]
[4,1,4,5,2,1]=>[{2,6},{5},{1,3},{4}]=>[2,6,5,1,3,4]
[4,1,5,1,2,4]=>[{2,4},{5},{1,6},{3}]=>[2,4,5,1,6,3]
[4,1,5,1,4,2]=>[{2,4},{6},{1,5},{3}]=>[2,4,6,1,5,3]
[4,1,5,2,1,4]=>[{2,5},{4},{1,6},{3}]=>[2,5,4,1,6,3]
[4,1,5,2,4,1]=>[{2,6},{4},{1,5},{3}]=>[2,6,4,1,5,3]
[4,1,5,4,1,2]=>[{2,5},{6},{1,4},{3}]=>[2,5,6,1,4,3]
[4,1,5,4,2,1]=>[{2,6},{5},{1,4},{3}]=>[2,6,5,1,4,3]
[4,2,1,1,4,5]=>[{3,4},{2},{1,5},{6}]=>[3,4,2,1,5,6]
[4,2,1,1,5,4]=>[{3,4},{2},{1,6},{5}]=>[3,4,2,1,6,5]
[4,2,1,4,1,5]=>[{3,5},{2},{1,4},{6}]=>[3,5,2,1,4,6]
[4,2,1,4,5,1]=>[{3,6},{2},{1,4},{5}]=>[3,6,2,1,4,5]
[4,2,1,5,1,4]=>[{3,5},{2},{1,6},{4}]=>[3,5,2,1,6,4]
[4,2,1,5,4,1]=>[{3,6},{2},{1,5},{4}]=>[3,6,2,1,5,4]
[4,2,4,1,1,5]=>[{4,5},{2},{1,3},{6}]=>[4,5,2,1,3,6]
[4,2,4,1,5,1]=>[{4,6},{2},{1,3},{5}]=>[4,6,2,1,3,5]
[4,2,4,5,1,1]=>[{5,6},{2},{1,3},{4}]=>[5,6,2,1,3,4]
[4,2,5,1,1,4]=>[{4,5},{2},{1,6},{3}]=>[4,5,2,1,6,3]
[4,2,5,1,4,1]=>[{4,6},{2},{1,5},{3}]=>[4,6,2,1,5,3]
[4,2,5,4,1,1]=>[{5,6},{2},{1,4},{3}]=>[5,6,2,1,4,3]
[4,4,1,1,2,5]=>[{3,4},{5},{1,2},{6}]=>[3,4,5,1,2,6]
[4,4,1,1,5,2]=>[{3,4},{6},{1,2},{5}]=>[3,4,6,1,2,5]
[4,4,1,2,1,5]=>[{3,5},{4},{1,2},{6}]=>[3,5,4,1,2,6]
[4,4,1,2,5,1]=>[{3,6},{4},{1,2},{5}]=>[3,6,4,1,2,5]
[4,4,1,5,1,2]=>[{3,5},{6},{1,2},{4}]=>[3,5,6,1,2,4]
[4,4,1,5,2,1]=>[{3,6},{5},{1,2},{4}]=>[3,6,5,1,2,4]
[4,4,2,1,1,5]=>[{4,5},{3},{1,2},{6}]=>[4,5,3,1,2,6]
[4,4,2,1,5,1]=>[{4,6},{3},{1,2},{5}]=>[4,6,3,1,2,5]
[4,4,2,5,1,1]=>[{5,6},{3},{1,2},{4}]=>[5,6,3,1,2,4]
[4,4,5,1,1,2]=>[{4,5},{6},{1,2},{3}]=>[4,5,6,1,2,3]
[4,4,5,1,2,1]=>[{4,6},{5},{1,2},{3}]=>[4,6,5,1,2,3]
[4,4,5,2,1,1]=>[{5,6},{4},{1,2},{3}]=>[5,6,4,1,2,3]
[4,5,1,1,2,4]=>[{3,4},{5},{1,6},{2}]=>[3,4,5,1,6,2]
[4,5,1,1,4,2]=>[{3,4},{6},{1,5},{2}]=>[3,4,6,1,5,2]
[4,5,1,2,1,4]=>[{3,5},{4},{1,6},{2}]=>[3,5,4,1,6,2]
[4,5,1,2,4,1]=>[{3,6},{4},{1,5},{2}]=>[3,6,4,1,5,2]
[4,5,1,4,1,2]=>[{3,5},{6},{1,4},{2}]=>[3,5,6,1,4,2]
[4,5,1,4,2,1]=>[{3,6},{5},{1,4},{2}]=>[3,6,5,1,4,2]
[4,5,2,1,1,4]=>[{4,5},{3},{1,6},{2}]=>[4,5,3,1,6,2]
[4,5,2,1,4,1]=>[{4,6},{3},{1,5},{2}]=>[4,6,3,1,5,2]
[4,5,2,4,1,1]=>[{5,6},{3},{1,4},{2}]=>[5,6,3,1,4,2]
[4,5,4,1,1,2]=>[{4,5},{6},{1,3},{2}]=>[4,5,6,1,3,2]
[4,5,4,1,2,1]=>[{4,6},{5},{1,3},{2}]=>[4,6,5,1,3,2]
[4,5,4,2,1,1]=>[{5,6},{4},{1,3},{2}]=>[5,6,4,1,3,2]
[5,1,1,2,4,4]=>[{2,3},{4},{5,6},{1}]=>[2,3,4,5,6,1]
[5,1,1,4,2,4]=>[{2,3},{5},{4,6},{1}]=>[2,3,5,4,6,1]
[5,1,1,4,4,2]=>[{2,3},{6},{4,5},{1}]=>[2,3,6,4,5,1]
[5,1,2,1,4,4]=>[{2,4},{3},{5,6},{1}]=>[2,4,3,5,6,1]
[5,1,2,4,1,4]=>[{2,5},{3},{4,6},{1}]=>[2,5,3,4,6,1]
[5,1,2,4,4,1]=>[{2,6},{3},{4,5},{1}]=>[2,6,3,4,5,1]
[5,1,4,1,2,4]=>[{2,4},{5},{3,6},{1}]=>[2,4,5,3,6,1]
[5,1,4,1,4,2]=>[{2,4},{6},{3,5},{1}]=>[2,4,6,3,5,1]
[5,1,4,2,1,4]=>[{2,5},{4},{3,6},{1}]=>[2,5,4,3,6,1]
[5,1,4,2,4,1]=>[{2,6},{4},{3,5},{1}]=>[2,6,4,3,5,1]
[5,1,4,4,1,2]=>[{2,5},{6},{3,4},{1}]=>[2,5,6,3,4,1]
[5,1,4,4,2,1]=>[{2,6},{5},{3,4},{1}]=>[2,6,5,3,4,1]
[5,2,1,1,4,4]=>[{3,4},{2},{5,6},{1}]=>[3,4,2,5,6,1]
[5,2,1,4,1,4]=>[{3,5},{2},{4,6},{1}]=>[3,5,2,4,6,1]
[5,2,1,4,4,1]=>[{3,6},{2},{4,5},{1}]=>[3,6,2,4,5,1]
[5,2,4,1,1,4]=>[{4,5},{2},{3,6},{1}]=>[4,5,2,3,6,1]
[5,2,4,1,4,1]=>[{4,6},{2},{3,5},{1}]=>[4,6,2,3,5,1]
[5,2,4,4,1,1]=>[{5,6},{2},{3,4},{1}]=>[5,6,2,3,4,1]
[5,4,1,1,2,4]=>[{3,4},{5},{2,6},{1}]=>[3,4,5,2,6,1]
[5,4,1,1,4,2]=>[{3,4},{6},{2,5},{1}]=>[3,4,6,2,5,1]
[5,4,1,2,1,4]=>[{3,5},{4},{2,6},{1}]=>[3,5,4,2,6,1]
[5,4,1,2,4,1]=>[{3,6},{4},{2,5},{1}]=>[3,6,4,2,5,1]
[5,4,1,4,1,2]=>[{3,5},{6},{2,4},{1}]=>[3,5,6,2,4,1]
[5,4,1,4,2,1]=>[{3,6},{5},{2,4},{1}]=>[3,6,5,2,4,1]
[5,4,2,1,1,4]=>[{4,5},{3},{2,6},{1}]=>[4,5,3,2,6,1]
[5,4,2,1,4,1]=>[{4,6},{3},{2,5},{1}]=>[4,6,3,2,5,1]
[5,4,2,4,1,1]=>[{5,6},{3},{2,4},{1}]=>[5,6,3,2,4,1]
[5,4,4,1,1,2]=>[{4,5},{6},{2,3},{1}]=>[4,5,6,2,3,1]
[5,4,4,1,2,1]=>[{4,6},{5},{2,3},{1}]=>[4,6,5,2,3,1]
[5,4,4,2,1,1]=>[{5,6},{4},{2,3},{1}]=>[5,6,4,2,3,1]
[1,1,2,4,4,6]=>[{1,2},{3},{4,5},{6}]=>[1,2,3,4,5,6]
[1,1,2,4,6,4]=>[{1,2},{3},{4,6},{5}]=>[1,2,3,4,6,5]
[1,1,2,6,4,4]=>[{1,2},{3},{5,6},{4}]=>[1,2,3,5,6,4]
[1,1,4,2,4,6]=>[{1,2},{4},{3,5},{6}]=>[1,2,4,3,5,6]
[1,1,4,2,6,4]=>[{1,2},{4},{3,6},{5}]=>[1,2,4,3,6,5]
[1,1,4,4,2,6]=>[{1,2},{5},{3,4},{6}]=>[1,2,5,3,4,6]
[1,1,4,4,6,2]=>[{1,2},{6},{3,4},{5}]=>[1,2,6,3,4,5]
[1,1,4,6,2,4]=>[{1,2},{5},{3,6},{4}]=>[1,2,5,3,6,4]
[1,1,4,6,4,2]=>[{1,2},{6},{3,5},{4}]=>[1,2,6,3,5,4]
[1,1,6,2,4,4]=>[{1,2},{4},{5,6},{3}]=>[1,2,4,5,6,3]
[1,1,6,4,2,4]=>[{1,2},{5},{4,6},{3}]=>[1,2,5,4,6,3]
[1,1,6,4,4,2]=>[{1,2},{6},{4,5},{3}]=>[1,2,6,4,5,3]
[1,2,1,4,4,6]=>[{1,3},{2},{4,5},{6}]=>[1,3,2,4,5,6]
[1,2,1,4,6,4]=>[{1,3},{2},{4,6},{5}]=>[1,3,2,4,6,5]
[1,2,1,6,4,4]=>[{1,3},{2},{5,6},{4}]=>[1,3,2,5,6,4]
[1,2,4,1,4,6]=>[{1,4},{2},{3,5},{6}]=>[1,4,2,3,5,6]
[1,2,4,1,6,4]=>[{1,4},{2},{3,6},{5}]=>[1,4,2,3,6,5]
[1,2,4,4,1,6]=>[{1,5},{2},{3,4},{6}]=>[1,5,2,3,4,6]
[1,2,4,4,6,1]=>[{1,6},{2},{3,4},{5}]=>[1,6,2,3,4,5]
[1,2,4,6,1,4]=>[{1,5},{2},{3,6},{4}]=>[1,5,2,3,6,4]
[1,2,4,6,4,1]=>[{1,6},{2},{3,5},{4}]=>[1,6,2,3,5,4]
[1,2,6,1,4,4]=>[{1,4},{2},{5,6},{3}]=>[1,4,2,5,6,3]
[1,2,6,4,1,4]=>[{1,5},{2},{4,6},{3}]=>[1,5,2,4,6,3]
[1,2,6,4,4,1]=>[{1,6},{2},{4,5},{3}]=>[1,6,2,4,5,3]
[1,4,1,2,4,6]=>[{1,3},{4},{2,5},{6}]=>[1,3,4,2,5,6]
[1,4,1,2,6,4]=>[{1,3},{4},{2,6},{5}]=>[1,3,4,2,6,5]
[1,4,1,4,2,6]=>[{1,3},{5},{2,4},{6}]=>[1,3,5,2,4,6]
[1,4,1,4,6,2]=>[{1,3},{6},{2,4},{5}]=>[1,3,6,2,4,5]
[1,4,1,6,2,4]=>[{1,3},{5},{2,6},{4}]=>[1,3,5,2,6,4]
[1,4,1,6,4,2]=>[{1,3},{6},{2,5},{4}]=>[1,3,6,2,5,4]
[1,4,2,1,4,6]=>[{1,4},{3},{2,5},{6}]=>[1,4,3,2,5,6]
[1,4,2,1,6,4]=>[{1,4},{3},{2,6},{5}]=>[1,4,3,2,6,5]
[1,4,2,4,1,6]=>[{1,5},{3},{2,4},{6}]=>[1,5,3,2,4,6]
[1,4,2,4,6,1]=>[{1,6},{3},{2,4},{5}]=>[1,6,3,2,4,5]
[1,4,2,6,1,4]=>[{1,5},{3},{2,6},{4}]=>[1,5,3,2,6,4]
[1,4,2,6,4,1]=>[{1,6},{3},{2,5},{4}]=>[1,6,3,2,5,4]
[1,4,4,1,2,6]=>[{1,4},{5},{2,3},{6}]=>[1,4,5,2,3,6]
[1,4,4,1,6,2]=>[{1,4},{6},{2,3},{5}]=>[1,4,6,2,3,5]
[1,4,4,2,1,6]=>[{1,5},{4},{2,3},{6}]=>[1,5,4,2,3,6]
[1,4,4,2,6,1]=>[{1,6},{4},{2,3},{5}]=>[1,6,4,2,3,5]
[1,4,4,6,1,2]=>[{1,5},{6},{2,3},{4}]=>[1,5,6,2,3,4]
[1,4,4,6,2,1]=>[{1,6},{5},{2,3},{4}]=>[1,6,5,2,3,4]
[1,4,6,1,2,4]=>[{1,4},{5},{2,6},{3}]=>[1,4,5,2,6,3]
[1,4,6,1,4,2]=>[{1,4},{6},{2,5},{3}]=>[1,4,6,2,5,3]
[1,4,6,2,1,4]=>[{1,5},{4},{2,6},{3}]=>[1,5,4,2,6,3]
[1,4,6,2,4,1]=>[{1,6},{4},{2,5},{3}]=>[1,6,4,2,5,3]
[1,4,6,4,1,2]=>[{1,5},{6},{2,4},{3}]=>[1,5,6,2,4,3]
[1,4,6,4,2,1]=>[{1,6},{5},{2,4},{3}]=>[1,6,5,2,4,3]
[1,6,1,2,4,4]=>[{1,3},{4},{5,6},{2}]=>[1,3,4,5,6,2]
[1,6,1,4,2,4]=>[{1,3},{5},{4,6},{2}]=>[1,3,5,4,6,2]
[1,6,1,4,4,2]=>[{1,3},{6},{4,5},{2}]=>[1,3,6,4,5,2]
[1,6,2,1,4,4]=>[{1,4},{3},{5,6},{2}]=>[1,4,3,5,6,2]
[1,6,2,4,1,4]=>[{1,5},{3},{4,6},{2}]=>[1,5,3,4,6,2]
[1,6,2,4,4,1]=>[{1,6},{3},{4,5},{2}]=>[1,6,3,4,5,2]
[1,6,4,1,2,4]=>[{1,4},{5},{3,6},{2}]=>[1,4,5,3,6,2]
[1,6,4,1,4,2]=>[{1,4},{6},{3,5},{2}]=>[1,4,6,3,5,2]
[1,6,4,2,1,4]=>[{1,5},{4},{3,6},{2}]=>[1,5,4,3,6,2]
[1,6,4,2,4,1]=>[{1,6},{4},{3,5},{2}]=>[1,6,4,3,5,2]
[1,6,4,4,1,2]=>[{1,5},{6},{3,4},{2}]=>[1,5,6,3,4,2]
[1,6,4,4,2,1]=>[{1,6},{5},{3,4},{2}]=>[1,6,5,3,4,2]
[2,1,1,4,4,6]=>[{2,3},{1},{4,5},{6}]=>[2,3,1,4,5,6]
[2,1,1,4,6,4]=>[{2,3},{1},{4,6},{5}]=>[2,3,1,4,6,5]
[2,1,1,6,4,4]=>[{2,3},{1},{5,6},{4}]=>[2,3,1,5,6,4]
[2,1,4,1,4,6]=>[{2,4},{1},{3,5},{6}]=>[2,4,1,3,5,6]
[2,1,4,1,6,4]=>[{2,4},{1},{3,6},{5}]=>[2,4,1,3,6,5]
[2,1,4,4,1,6]=>[{2,5},{1},{3,4},{6}]=>[2,5,1,3,4,6]
[2,1,4,4,6,1]=>[{2,6},{1},{3,4},{5}]=>[2,6,1,3,4,5]
[2,1,4,6,1,4]=>[{2,5},{1},{3,6},{4}]=>[2,5,1,3,6,4]
[2,1,4,6,4,1]=>[{2,6},{1},{3,5},{4}]=>[2,6,1,3,5,4]
[2,1,6,1,4,4]=>[{2,4},{1},{5,6},{3}]=>[2,4,1,5,6,3]
[2,1,6,4,1,4]=>[{2,5},{1},{4,6},{3}]=>[2,5,1,4,6,3]
[2,1,6,4,4,1]=>[{2,6},{1},{4,5},{3}]=>[2,6,1,4,5,3]
[2,4,1,1,4,6]=>[{3,4},{1},{2,5},{6}]=>[3,4,1,2,5,6]
[2,4,1,1,6,4]=>[{3,4},{1},{2,6},{5}]=>[3,4,1,2,6,5]
[2,4,1,4,1,6]=>[{3,5},{1},{2,4},{6}]=>[3,5,1,2,4,6]
[2,4,1,4,6,1]=>[{3,6},{1},{2,4},{5}]=>[3,6,1,2,4,5]
[2,4,1,6,1,4]=>[{3,5},{1},{2,6},{4}]=>[3,5,1,2,6,4]
[2,4,1,6,4,1]=>[{3,6},{1},{2,5},{4}]=>[3,6,1,2,5,4]
[2,4,4,1,1,6]=>[{4,5},{1},{2,3},{6}]=>[4,5,1,2,3,6]
[2,4,4,1,6,1]=>[{4,6},{1},{2,3},{5}]=>[4,6,1,2,3,5]
[2,4,4,6,1,1]=>[{5,6},{1},{2,3},{4}]=>[5,6,1,2,3,4]
[2,4,6,1,1,4]=>[{4,5},{1},{2,6},{3}]=>[4,5,1,2,6,3]
[2,4,6,1,4,1]=>[{4,6},{1},{2,5},{3}]=>[4,6,1,2,5,3]
[2,4,6,4,1,1]=>[{5,6},{1},{2,4},{3}]=>[5,6,1,2,4,3]
[2,6,1,1,4,4]=>[{3,4},{1},{5,6},{2}]=>[3,4,1,5,6,2]
[2,6,1,4,1,4]=>[{3,5},{1},{4,6},{2}]=>[3,5,1,4,6,2]
[2,6,1,4,4,1]=>[{3,6},{1},{4,5},{2}]=>[3,6,1,4,5,2]
[2,6,4,1,1,4]=>[{4,5},{1},{3,6},{2}]=>[4,5,1,3,6,2]
[2,6,4,1,4,1]=>[{4,6},{1},{3,5},{2}]=>[4,6,1,3,5,2]
[2,6,4,4,1,1]=>[{5,6},{1},{3,4},{2}]=>[5,6,1,3,4,2]
[4,1,1,2,4,6]=>[{2,3},{4},{1,5},{6}]=>[2,3,4,1,5,6]
[4,1,1,2,6,4]=>[{2,3},{4},{1,6},{5}]=>[2,3,4,1,6,5]
[4,1,1,4,2,6]=>[{2,3},{5},{1,4},{6}]=>[2,3,5,1,4,6]
[4,1,1,4,6,2]=>[{2,3},{6},{1,4},{5}]=>[2,3,6,1,4,5]
[4,1,1,6,2,4]=>[{2,3},{5},{1,6},{4}]=>[2,3,5,1,6,4]
[4,1,1,6,4,2]=>[{2,3},{6},{1,5},{4}]=>[2,3,6,1,5,4]
[4,1,2,1,4,6]=>[{2,4},{3},{1,5},{6}]=>[2,4,3,1,5,6]
[4,1,2,1,6,4]=>[{2,4},{3},{1,6},{5}]=>[2,4,3,1,6,5]
[4,1,2,4,1,6]=>[{2,5},{3},{1,4},{6}]=>[2,5,3,1,4,6]
[4,1,2,4,6,1]=>[{2,6},{3},{1,4},{5}]=>[2,6,3,1,4,5]
[4,1,2,6,1,4]=>[{2,5},{3},{1,6},{4}]=>[2,5,3,1,6,4]
[4,1,2,6,4,1]=>[{2,6},{3},{1,5},{4}]=>[2,6,3,1,5,4]
[4,1,4,1,2,6]=>[{2,4},{5},{1,3},{6}]=>[2,4,5,1,3,6]
[4,1,4,1,6,2]=>[{2,4},{6},{1,3},{5}]=>[2,4,6,1,3,5]
[4,1,4,2,1,6]=>[{2,5},{4},{1,3},{6}]=>[2,5,4,1,3,6]
[4,1,4,2,6,1]=>[{2,6},{4},{1,3},{5}]=>[2,6,4,1,3,5]
[4,1,4,6,1,2]=>[{2,5},{6},{1,3},{4}]=>[2,5,6,1,3,4]
[4,1,4,6,2,1]=>[{2,6},{5},{1,3},{4}]=>[2,6,5,1,3,4]
[4,1,6,1,2,4]=>[{2,4},{5},{1,6},{3}]=>[2,4,5,1,6,3]
[4,1,6,1,4,2]=>[{2,4},{6},{1,5},{3}]=>[2,4,6,1,5,3]
[4,1,6,2,1,4]=>[{2,5},{4},{1,6},{3}]=>[2,5,4,1,6,3]
[4,1,6,2,4,1]=>[{2,6},{4},{1,5},{3}]=>[2,6,4,1,5,3]
[4,1,6,4,1,2]=>[{2,5},{6},{1,4},{3}]=>[2,5,6,1,4,3]
[4,1,6,4,2,1]=>[{2,6},{5},{1,4},{3}]=>[2,6,5,1,4,3]
[4,2,1,1,4,6]=>[{3,4},{2},{1,5},{6}]=>[3,4,2,1,5,6]
[4,2,1,1,6,4]=>[{3,4},{2},{1,6},{5}]=>[3,4,2,1,6,5]
[4,2,1,4,1,6]=>[{3,5},{2},{1,4},{6}]=>[3,5,2,1,4,6]
[4,2,1,4,6,1]=>[{3,6},{2},{1,4},{5}]=>[3,6,2,1,4,5]
[4,2,1,6,1,4]=>[{3,5},{2},{1,6},{4}]=>[3,5,2,1,6,4]
[4,2,1,6,4,1]=>[{3,6},{2},{1,5},{4}]=>[3,6,2,1,5,4]
[4,2,4,1,1,6]=>[{4,5},{2},{1,3},{6}]=>[4,5,2,1,3,6]
[4,2,4,1,6,1]=>[{4,6},{2},{1,3},{5}]=>[4,6,2,1,3,5]
[4,2,4,6,1,1]=>[{5,6},{2},{1,3},{4}]=>[5,6,2,1,3,4]
[4,2,6,1,1,4]=>[{4,5},{2},{1,6},{3}]=>[4,5,2,1,6,3]
[4,2,6,1,4,1]=>[{4,6},{2},{1,5},{3}]=>[4,6,2,1,5,3]
[4,2,6,4,1,1]=>[{5,6},{2},{1,4},{3}]=>[5,6,2,1,4,3]
[4,4,1,1,2,6]=>[{3,4},{5},{1,2},{6}]=>[3,4,5,1,2,6]
[4,4,1,1,6,2]=>[{3,4},{6},{1,2},{5}]=>[3,4,6,1,2,5]
[4,4,1,2,1,6]=>[{3,5},{4},{1,2},{6}]=>[3,5,4,1,2,6]
[4,4,1,2,6,1]=>[{3,6},{4},{1,2},{5}]=>[3,6,4,1,2,5]
[4,4,1,6,1,2]=>[{3,5},{6},{1,2},{4}]=>[3,5,6,1,2,4]
[4,4,1,6,2,1]=>[{3,6},{5},{1,2},{4}]=>[3,6,5,1,2,4]
[4,4,2,1,1,6]=>[{4,5},{3},{1,2},{6}]=>[4,5,3,1,2,6]
[4,4,2,1,6,1]=>[{4,6},{3},{1,2},{5}]=>[4,6,3,1,2,5]
[4,4,2,6,1,1]=>[{5,6},{3},{1,2},{4}]=>[5,6,3,1,2,4]
[4,4,6,1,1,2]=>[{4,5},{6},{1,2},{3}]=>[4,5,6,1,2,3]
[4,4,6,1,2,1]=>[{4,6},{5},{1,2},{3}]=>[4,6,5,1,2,3]
[4,4,6,2,1,1]=>[{5,6},{4},{1,2},{3}]=>[5,6,4,1,2,3]
[4,6,1,1,2,4]=>[{3,4},{5},{1,6},{2}]=>[3,4,5,1,6,2]
[4,6,1,1,4,2]=>[{3,4},{6},{1,5},{2}]=>[3,4,6,1,5,2]
[4,6,1,2,1,4]=>[{3,5},{4},{1,6},{2}]=>[3,5,4,1,6,2]
[4,6,1,2,4,1]=>[{3,6},{4},{1,5},{2}]=>[3,6,4,1,5,2]
[4,6,1,4,1,2]=>[{3,5},{6},{1,4},{2}]=>[3,5,6,1,4,2]
[4,6,1,4,2,1]=>[{3,6},{5},{1,4},{2}]=>[3,6,5,1,4,2]
[4,6,2,1,1,4]=>[{4,5},{3},{1,6},{2}]=>[4,5,3,1,6,2]
[4,6,2,1,4,1]=>[{4,6},{3},{1,5},{2}]=>[4,6,3,1,5,2]
[4,6,2,4,1,1]=>[{5,6},{3},{1,4},{2}]=>[5,6,3,1,4,2]
[4,6,4,1,1,2]=>[{4,5},{6},{1,3},{2}]=>[4,5,6,1,3,2]
[4,6,4,1,2,1]=>[{4,6},{5},{1,3},{2}]=>[4,6,5,1,3,2]
[4,6,4,2,1,1]=>[{5,6},{4},{1,3},{2}]=>[5,6,4,1,3,2]
[6,1,1,2,4,4]=>[{2,3},{4},{5,6},{1}]=>[2,3,4,5,6,1]
[6,1,1,4,2,4]=>[{2,3},{5},{4,6},{1}]=>[2,3,5,4,6,1]
[6,1,1,4,4,2]=>[{2,3},{6},{4,5},{1}]=>[2,3,6,4,5,1]
[6,1,2,1,4,4]=>[{2,4},{3},{5,6},{1}]=>[2,4,3,5,6,1]
[6,1,2,4,1,4]=>[{2,5},{3},{4,6},{1}]=>[2,5,3,4,6,1]
[6,1,2,4,4,1]=>[{2,6},{3},{4,5},{1}]=>[2,6,3,4,5,1]
[6,1,4,1,2,4]=>[{2,4},{5},{3,6},{1}]=>[2,4,5,3,6,1]
[6,1,4,1,4,2]=>[{2,4},{6},{3,5},{1}]=>[2,4,6,3,5,1]
[6,1,4,2,1,4]=>[{2,5},{4},{3,6},{1}]=>[2,5,4,3,6,1]
[6,1,4,2,4,1]=>[{2,6},{4},{3,5},{1}]=>[2,6,4,3,5,1]
[6,1,4,4,1,2]=>[{2,5},{6},{3,4},{1}]=>[2,5,6,3,4,1]
[6,1,4,4,2,1]=>[{2,6},{5},{3,4},{1}]=>[2,6,5,3,4,1]
[6,2,1,1,4,4]=>[{3,4},{2},{5,6},{1}]=>[3,4,2,5,6,1]
[6,2,1,4,1,4]=>[{3,5},{2},{4,6},{1}]=>[3,5,2,4,6,1]
[6,2,1,4,4,1]=>[{3,6},{2},{4,5},{1}]=>[3,6,2,4,5,1]
[6,2,4,1,1,4]=>[{4,5},{2},{3,6},{1}]=>[4,5,2,3,6,1]
[6,2,4,1,4,1]=>[{4,6},{2},{3,5},{1}]=>[4,6,2,3,5,1]
[6,2,4,4,1,1]=>[{5,6},{2},{3,4},{1}]=>[5,6,2,3,4,1]
[6,4,1,1,2,4]=>[{3,4},{5},{2,6},{1}]=>[3,4,5,2,6,1]
[6,4,1,1,4,2]=>[{3,4},{6},{2,5},{1}]=>[3,4,6,2,5,1]
[6,4,1,2,1,4]=>[{3,5},{4},{2,6},{1}]=>[3,5,4,2,6,1]
[6,4,1,2,4,1]=>[{3,6},{4},{2,5},{1}]=>[3,6,4,2,5,1]
[6,4,1,4,1,2]=>[{3,5},{6},{2,4},{1}]=>[3,5,6,2,4,1]
[6,4,1,4,2,1]=>[{3,6},{5},{2,4},{1}]=>[3,6,5,2,4,1]
[6,4,2,1,1,4]=>[{4,5},{3},{2,6},{1}]=>[4,5,3,2,6,1]
[6,4,2,1,4,1]=>[{4,6},{3},{2,5},{1}]=>[4,6,3,2,5,1]
[6,4,2,4,1,1]=>[{5,6},{3},{2,4},{1}]=>[5,6,3,2,4,1]
[6,4,4,1,1,2]=>[{4,5},{6},{2,3},{1}]=>[4,5,6,2,3,1]
[6,4,4,1,2,1]=>[{4,6},{5},{2,3},{1}]=>[4,6,5,2,3,1]
[6,4,4,2,1,1]=>[{5,6},{4},{2,3},{1}]=>[5,6,4,2,3,1]
[1,1,2,4,5,5]=>[{1,2},{3},{4},{5,6}]=>[1,2,3,4,5,6]
[1,1,2,5,4,5]=>[{1,2},{3},{5},{4,6}]=>[1,2,3,5,4,6]
[1,1,2,5,5,4]=>[{1,2},{3},{6},{4,5}]=>[1,2,3,6,4,5]
[1,1,4,2,5,5]=>[{1,2},{4},{3},{5,6}]=>[1,2,4,3,5,6]
[1,1,4,5,2,5]=>[{1,2},{5},{3},{4,6}]=>[1,2,5,3,4,6]
[1,1,4,5,5,2]=>[{1,2},{6},{3},{4,5}]=>[1,2,6,3,4,5]
[1,1,5,2,4,5]=>[{1,2},{4},{5},{3,6}]=>[1,2,4,5,3,6]
[1,1,5,2,5,4]=>[{1,2},{4},{6},{3,5}]=>[1,2,4,6,3,5]
[1,1,5,4,2,5]=>[{1,2},{5},{4},{3,6}]=>[1,2,5,4,3,6]
[1,1,5,4,5,2]=>[{1,2},{6},{4},{3,5}]=>[1,2,6,4,3,5]
[1,1,5,5,2,4]=>[{1,2},{5},{6},{3,4}]=>[1,2,5,6,3,4]
[1,1,5,5,4,2]=>[{1,2},{6},{5},{3,4}]=>[1,2,6,5,3,4]
[1,2,1,4,5,5]=>[{1,3},{2},{4},{5,6}]=>[1,3,2,4,5,6]
[1,2,1,5,4,5]=>[{1,3},{2},{5},{4,6}]=>[1,3,2,5,4,6]
[1,2,1,5,5,4]=>[{1,3},{2},{6},{4,5}]=>[1,3,2,6,4,5]
[1,2,4,1,5,5]=>[{1,4},{2},{3},{5,6}]=>[1,4,2,3,5,6]
[1,2,4,5,1,5]=>[{1,5},{2},{3},{4,6}]=>[1,5,2,3,4,6]
[1,2,4,5,5,1]=>[{1,6},{2},{3},{4,5}]=>[1,6,2,3,4,5]
[1,2,5,1,4,5]=>[{1,4},{2},{5},{3,6}]=>[1,4,2,5,3,6]
[1,2,5,1,5,4]=>[{1,4},{2},{6},{3,5}]=>[1,4,2,6,3,5]
[1,2,5,4,1,5]=>[{1,5},{2},{4},{3,6}]=>[1,5,2,4,3,6]
[1,2,5,4,5,1]=>[{1,6},{2},{4},{3,5}]=>[1,6,2,4,3,5]
[1,2,5,5,1,4]=>[{1,5},{2},{6},{3,4}]=>[1,5,2,6,3,4]
[1,2,5,5,4,1]=>[{1,6},{2},{5},{3,4}]=>[1,6,2,5,3,4]
[1,4,1,2,5,5]=>[{1,3},{4},{2},{5,6}]=>[1,3,4,2,5,6]
[1,4,1,5,2,5]=>[{1,3},{5},{2},{4,6}]=>[1,3,5,2,4,6]
[1,4,1,5,5,2]=>[{1,3},{6},{2},{4,5}]=>[1,3,6,2,4,5]
[1,4,2,1,5,5]=>[{1,4},{3},{2},{5,6}]=>[1,4,3,2,5,6]
[1,4,2,5,1,5]=>[{1,5},{3},{2},{4,6}]=>[1,5,3,2,4,6]
[1,4,2,5,5,1]=>[{1,6},{3},{2},{4,5}]=>[1,6,3,2,4,5]
[1,4,5,1,2,5]=>[{1,4},{5},{2},{3,6}]=>[1,4,5,2,3,6]
[1,4,5,1,5,2]=>[{1,4},{6},{2},{3,5}]=>[1,4,6,2,3,5]
[1,4,5,2,1,5]=>[{1,5},{4},{2},{3,6}]=>[1,5,4,2,3,6]
[1,4,5,2,5,1]=>[{1,6},{4},{2},{3,5}]=>[1,6,4,2,3,5]
[1,4,5,5,1,2]=>[{1,5},{6},{2},{3,4}]=>[1,5,6,2,3,4]
[1,4,5,5,2,1]=>[{1,6},{5},{2},{3,4}]=>[1,6,5,2,3,4]
[1,5,1,2,4,5]=>[{1,3},{4},{5},{2,6}]=>[1,3,4,5,2,6]
[1,5,1,2,5,4]=>[{1,3},{4},{6},{2,5}]=>[1,3,4,6,2,5]
[1,5,1,4,2,5]=>[{1,3},{5},{4},{2,6}]=>[1,3,5,4,2,6]
[1,5,1,4,5,2]=>[{1,3},{6},{4},{2,5}]=>[1,3,6,4,2,5]
[1,5,1,5,2,4]=>[{1,3},{5},{6},{2,4}]=>[1,3,5,6,2,4]
[1,5,1,5,4,2]=>[{1,3},{6},{5},{2,4}]=>[1,3,6,5,2,4]
[1,5,2,1,4,5]=>[{1,4},{3},{5},{2,6}]=>[1,4,3,5,2,6]
[1,5,2,1,5,4]=>[{1,4},{3},{6},{2,5}]=>[1,4,3,6,2,5]
[1,5,2,4,1,5]=>[{1,5},{3},{4},{2,6}]=>[1,5,3,4,2,6]
[1,5,2,4,5,1]=>[{1,6},{3},{4},{2,5}]=>[1,6,3,4,2,5]
[1,5,2,5,1,4]=>[{1,5},{3},{6},{2,4}]=>[1,5,3,6,2,4]
[1,5,2,5,4,1]=>[{1,6},{3},{5},{2,4}]=>[1,6,3,5,2,4]
[1,5,4,1,2,5]=>[{1,4},{5},{3},{2,6}]=>[1,4,5,3,2,6]
[1,5,4,1,5,2]=>[{1,4},{6},{3},{2,5}]=>[1,4,6,3,2,5]
[1,5,4,2,1,5]=>[{1,5},{4},{3},{2,6}]=>[1,5,4,3,2,6]
[1,5,4,2,5,1]=>[{1,6},{4},{3},{2,5}]=>[1,6,4,3,2,5]
[1,5,4,5,1,2]=>[{1,5},{6},{3},{2,4}]=>[1,5,6,3,2,4]
[1,5,4,5,2,1]=>[{1,6},{5},{3},{2,4}]=>[1,6,5,3,2,4]
[1,5,5,1,2,4]=>[{1,4},{5},{6},{2,3}]=>[1,4,5,6,2,3]
[1,5,5,1,4,2]=>[{1,4},{6},{5},{2,3}]=>[1,4,6,5,2,3]
[1,5,5,2,1,4]=>[{1,5},{4},{6},{2,3}]=>[1,5,4,6,2,3]
[1,5,5,2,4,1]=>[{1,6},{4},{5},{2,3}]=>[1,6,4,5,2,3]
[1,5,5,4,1,2]=>[{1,5},{6},{4},{2,3}]=>[1,5,6,4,2,3]
[1,5,5,4,2,1]=>[{1,6},{5},{4},{2,3}]=>[1,6,5,4,2,3]
[2,1,1,4,5,5]=>[{2,3},{1},{4},{5,6}]=>[2,3,1,4,5,6]
[2,1,1,5,4,5]=>[{2,3},{1},{5},{4,6}]=>[2,3,1,5,4,6]
[2,1,1,5,5,4]=>[{2,3},{1},{6},{4,5}]=>[2,3,1,6,4,5]
[2,1,4,1,5,5]=>[{2,4},{1},{3},{5,6}]=>[2,4,1,3,5,6]
[2,1,4,5,1,5]=>[{2,5},{1},{3},{4,6}]=>[2,5,1,3,4,6]
[2,1,4,5,5,1]=>[{2,6},{1},{3},{4,5}]=>[2,6,1,3,4,5]
[2,1,5,1,4,5]=>[{2,4},{1},{5},{3,6}]=>[2,4,1,5,3,6]
[2,1,5,1,5,4]=>[{2,4},{1},{6},{3,5}]=>[2,4,1,6,3,5]
[2,1,5,4,1,5]=>[{2,5},{1},{4},{3,6}]=>[2,5,1,4,3,6]
[2,1,5,4,5,1]=>[{2,6},{1},{4},{3,5}]=>[2,6,1,4,3,5]
[2,1,5,5,1,4]=>[{2,5},{1},{6},{3,4}]=>[2,5,1,6,3,4]
[2,1,5,5,4,1]=>[{2,6},{1},{5},{3,4}]=>[2,6,1,5,3,4]
[2,4,1,1,5,5]=>[{3,4},{1},{2},{5,6}]=>[3,4,1,2,5,6]
[2,4,1,5,1,5]=>[{3,5},{1},{2},{4,6}]=>[3,5,1,2,4,6]
[2,4,1,5,5,1]=>[{3,6},{1},{2},{4,5}]=>[3,6,1,2,4,5]
[2,4,5,1,1,5]=>[{4,5},{1},{2},{3,6}]=>[4,5,1,2,3,6]
[2,4,5,1,5,1]=>[{4,6},{1},{2},{3,5}]=>[4,6,1,2,3,5]
[2,4,5,5,1,1]=>[{5,6},{1},{2},{3,4}]=>[5,6,1,2,3,4]
[2,5,1,1,4,5]=>[{3,4},{1},{5},{2,6}]=>[3,4,1,5,2,6]
[2,5,1,1,5,4]=>[{3,4},{1},{6},{2,5}]=>[3,4,1,6,2,5]
[2,5,1,4,1,5]=>[{3,5},{1},{4},{2,6}]=>[3,5,1,4,2,6]
[2,5,1,4,5,1]=>[{3,6},{1},{4},{2,5}]=>[3,6,1,4,2,5]
[2,5,1,5,1,4]=>[{3,5},{1},{6},{2,4}]=>[3,5,1,6,2,4]
[2,5,1,5,4,1]=>[{3,6},{1},{5},{2,4}]=>[3,6,1,5,2,4]
[2,5,4,1,1,5]=>[{4,5},{1},{3},{2,6}]=>[4,5,1,3,2,6]
[2,5,4,1,5,1]=>[{4,6},{1},{3},{2,5}]=>[4,6,1,3,2,5]
[2,5,4,5,1,1]=>[{5,6},{1},{3},{2,4}]=>[5,6,1,3,2,4]
[2,5,5,1,1,4]=>[{4,5},{1},{6},{2,3}]=>[4,5,1,6,2,3]
[2,5,5,1,4,1]=>[{4,6},{1},{5},{2,3}]=>[4,6,1,5,2,3]
[2,5,5,4,1,1]=>[{5,6},{1},{4},{2,3}]=>[5,6,1,4,2,3]
[4,1,1,2,5,5]=>[{2,3},{4},{1},{5,6}]=>[2,3,4,1,5,6]
[4,1,1,5,2,5]=>[{2,3},{5},{1},{4,6}]=>[2,3,5,1,4,6]
[4,1,1,5,5,2]=>[{2,3},{6},{1},{4,5}]=>[2,3,6,1,4,5]
[4,1,2,1,5,5]=>[{2,4},{3},{1},{5,6}]=>[2,4,3,1,5,6]
[4,1,2,5,1,5]=>[{2,5},{3},{1},{4,6}]=>[2,5,3,1,4,6]
[4,1,2,5,5,1]=>[{2,6},{3},{1},{4,5}]=>[2,6,3,1,4,5]
[4,1,5,1,2,5]=>[{2,4},{5},{1},{3,6}]=>[2,4,5,1,3,6]
[4,1,5,1,5,2]=>[{2,4},{6},{1},{3,5}]=>[2,4,6,1,3,5]
[4,1,5,2,1,5]=>[{2,5},{4},{1},{3,6}]=>[2,5,4,1,3,6]
[4,1,5,2,5,1]=>[{2,6},{4},{1},{3,5}]=>[2,6,4,1,3,5]
[4,1,5,5,1,2]=>[{2,5},{6},{1},{3,4}]=>[2,5,6,1,3,4]
[4,1,5,5,2,1]=>[{2,6},{5},{1},{3,4}]=>[2,6,5,1,3,4]
[4,2,1,1,5,5]=>[{3,4},{2},{1},{5,6}]=>[3,4,2,1,5,6]
[4,2,1,5,1,5]=>[{3,5},{2},{1},{4,6}]=>[3,5,2,1,4,6]
[4,2,1,5,5,1]=>[{3,6},{2},{1},{4,5}]=>[3,6,2,1,4,5]
[4,2,5,1,1,5]=>[{4,5},{2},{1},{3,6}]=>[4,5,2,1,3,6]
[4,2,5,1,5,1]=>[{4,6},{2},{1},{3,5}]=>[4,6,2,1,3,5]
[4,2,5,5,1,1]=>[{5,6},{2},{1},{3,4}]=>[5,6,2,1,3,4]
[4,5,1,1,2,5]=>[{3,4},{5},{1},{2,6}]=>[3,4,5,1,2,6]
[4,5,1,1,5,2]=>[{3,4},{6},{1},{2,5}]=>[3,4,6,1,2,5]
[4,5,1,2,1,5]=>[{3,5},{4},{1},{2,6}]=>[3,5,4,1,2,6]
[4,5,1,2,5,1]=>[{3,6},{4},{1},{2,5}]=>[3,6,4,1,2,5]
[4,5,1,5,1,2]=>[{3,5},{6},{1},{2,4}]=>[3,5,6,1,2,4]
[4,5,1,5,2,1]=>[{3,6},{5},{1},{2,4}]=>[3,6,5,1,2,4]
[4,5,2,1,1,5]=>[{4,5},{3},{1},{2,6}]=>[4,5,3,1,2,6]
[4,5,2,1,5,1]=>[{4,6},{3},{1},{2,5}]=>[4,6,3,1,2,5]
[4,5,2,5,1,1]=>[{5,6},{3},{1},{2,4}]=>[5,6,3,1,2,4]
[4,5,5,1,1,2]=>[{4,5},{6},{1},{2,3}]=>[4,5,6,1,2,3]
[4,5,5,1,2,1]=>[{4,6},{5},{1},{2,3}]=>[4,6,5,1,2,3]
[4,5,5,2,1,1]=>[{5,6},{4},{1},{2,3}]=>[5,6,4,1,2,3]
[5,1,1,2,4,5]=>[{2,3},{4},{5},{1,6}]=>[2,3,4,5,1,6]
[5,1,1,2,5,4]=>[{2,3},{4},{6},{1,5}]=>[2,3,4,6,1,5]
[5,1,1,4,2,5]=>[{2,3},{5},{4},{1,6}]=>[2,3,5,4,1,6]
[5,1,1,4,5,2]=>[{2,3},{6},{4},{1,5}]=>[2,3,6,4,1,5]
[5,1,1,5,2,4]=>[{2,3},{5},{6},{1,4}]=>[2,3,5,6,1,4]
[5,1,1,5,4,2]=>[{2,3},{6},{5},{1,4}]=>[2,3,6,5,1,4]
[5,1,2,1,4,5]=>[{2,4},{3},{5},{1,6}]=>[2,4,3,5,1,6]
[5,1,2,1,5,4]=>[{2,4},{3},{6},{1,5}]=>[2,4,3,6,1,5]
[5,1,2,4,1,5]=>[{2,5},{3},{4},{1,6}]=>[2,5,3,4,1,6]
[5,1,2,4,5,1]=>[{2,6},{3},{4},{1,5}]=>[2,6,3,4,1,5]
[5,1,2,5,1,4]=>[{2,5},{3},{6},{1,4}]=>[2,5,3,6,1,4]
[5,1,2,5,4,1]=>[{2,6},{3},{5},{1,4}]=>[2,6,3,5,1,4]
[5,1,4,1,2,5]=>[{2,4},{5},{3},{1,6}]=>[2,4,5,3,1,6]
[5,1,4,1,5,2]=>[{2,4},{6},{3},{1,5}]=>[2,4,6,3,1,5]
[5,1,4,2,1,5]=>[{2,5},{4},{3},{1,6}]=>[2,5,4,3,1,6]
[5,1,4,2,5,1]=>[{2,6},{4},{3},{1,5}]=>[2,6,4,3,1,5]
[5,1,4,5,1,2]=>[{2,5},{6},{3},{1,4}]=>[2,5,6,3,1,4]
[5,1,4,5,2,1]=>[{2,6},{5},{3},{1,4}]=>[2,6,5,3,1,4]
[5,1,5,1,2,4]=>[{2,4},{5},{6},{1,3}]=>[2,4,5,6,1,3]
[5,1,5,1,4,2]=>[{2,4},{6},{5},{1,3}]=>[2,4,6,5,1,3]
[5,1,5,2,1,4]=>[{2,5},{4},{6},{1,3}]=>[2,5,4,6,1,3]
[5,1,5,2,4,1]=>[{2,6},{4},{5},{1,3}]=>[2,6,4,5,1,3]
[5,1,5,4,1,2]=>[{2,5},{6},{4},{1,3}]=>[2,5,6,4,1,3]
[5,1,5,4,2,1]=>[{2,6},{5},{4},{1,3}]=>[2,6,5,4,1,3]
[5,2,1,1,4,5]=>[{3,4},{2},{5},{1,6}]=>[3,4,2,5,1,6]
[5,2,1,1,5,4]=>[{3,4},{2},{6},{1,5}]=>[3,4,2,6,1,5]
[5,2,1,4,1,5]=>[{3,5},{2},{4},{1,6}]=>[3,5,2,4,1,6]
[5,2,1,4,5,1]=>[{3,6},{2},{4},{1,5}]=>[3,6,2,4,1,5]
[5,2,1,5,1,4]=>[{3,5},{2},{6},{1,4}]=>[3,5,2,6,1,4]
[5,2,1,5,4,1]=>[{3,6},{2},{5},{1,4}]=>[3,6,2,5,1,4]
[5,2,4,1,1,5]=>[{4,5},{2},{3},{1,6}]=>[4,5,2,3,1,6]
[5,2,4,1,5,1]=>[{4,6},{2},{3},{1,5}]=>[4,6,2,3,1,5]
[5,2,4,5,1,1]=>[{5,6},{2},{3},{1,4}]=>[5,6,2,3,1,4]
[5,2,5,1,1,4]=>[{4,5},{2},{6},{1,3}]=>[4,5,2,6,1,3]
[5,2,5,1,4,1]=>[{4,6},{2},{5},{1,3}]=>[4,6,2,5,1,3]
[5,2,5,4,1,1]=>[{5,6},{2},{4},{1,3}]=>[5,6,2,4,1,3]
[5,4,1,1,2,5]=>[{3,4},{5},{2},{1,6}]=>[3,4,5,2,1,6]
[5,4,1,1,5,2]=>[{3,4},{6},{2},{1,5}]=>[3,4,6,2,1,5]
[5,4,1,2,1,5]=>[{3,5},{4},{2},{1,6}]=>[3,5,4,2,1,6]
[5,4,1,2,5,1]=>[{3,6},{4},{2},{1,5}]=>[3,6,4,2,1,5]
[5,4,1,5,1,2]=>[{3,5},{6},{2},{1,4}]=>[3,5,6,2,1,4]
[5,4,1,5,2,1]=>[{3,6},{5},{2},{1,4}]=>[3,6,5,2,1,4]
[5,4,2,1,1,5]=>[{4,5},{3},{2},{1,6}]=>[4,5,3,2,1,6]
[5,4,2,1,5,1]=>[{4,6},{3},{2},{1,5}]=>[4,6,3,2,1,5]
[5,4,2,5,1,1]=>[{5,6},{3},{2},{1,4}]=>[5,6,3,2,1,4]
[5,4,5,1,1,2]=>[{4,5},{6},{2},{1,3}]=>[4,5,6,2,1,3]
[5,4,5,1,2,1]=>[{4,6},{5},{2},{1,3}]=>[4,6,5,2,1,3]
[5,4,5,2,1,1]=>[{5,6},{4},{2},{1,3}]=>[5,6,4,2,1,3]
[5,5,1,1,2,4]=>[{3,4},{5},{6},{1,2}]=>[3,4,5,6,1,2]
[5,5,1,1,4,2]=>[{3,4},{6},{5},{1,2}]=>[3,4,6,5,1,2]
[5,5,1,2,1,4]=>[{3,5},{4},{6},{1,2}]=>[3,5,4,6,1,2]
[5,5,1,2,4,1]=>[{3,6},{4},{5},{1,2}]=>[3,6,4,5,1,2]
[5,5,1,4,1,2]=>[{3,5},{6},{4},{1,2}]=>[3,5,6,4,1,2]
[5,5,1,4,2,1]=>[{3,6},{5},{4},{1,2}]=>[3,6,5,4,1,2]
[5,5,2,1,1,4]=>[{4,5},{3},{6},{1,2}]=>[4,5,3,6,1,2]
[5,5,2,1,4,1]=>[{4,6},{3},{5},{1,2}]=>[4,6,3,5,1,2]
[5,5,2,4,1,1]=>[{5,6},{3},{4},{1,2}]=>[5,6,3,4,1,2]
[5,5,4,1,1,2]=>[{4,5},{6},{3},{1,2}]=>[4,5,6,3,1,2]
[5,5,4,1,2,1]=>[{4,6},{5},{3},{1,2}]=>[4,6,5,3,1,2]
[5,5,4,2,1,1]=>[{5,6},{4},{3},{1,2}]=>[5,6,4,3,1,2]
[1,1,2,4,5,6]=>[{1,2},{3},{4},{5},{6}]=>[1,2,3,4,5,6]
[1,1,2,4,6,5]=>[{1,2},{3},{4},{6},{5}]=>[1,2,3,4,6,5]
[1,1,2,5,4,6]=>[{1,2},{3},{5},{4},{6}]=>[1,2,3,5,4,6]
[1,1,2,5,6,4]=>[{1,2},{3},{6},{4},{5}]=>[1,2,3,6,4,5]
[1,1,2,6,4,5]=>[{1,2},{3},{5},{6},{4}]=>[1,2,3,5,6,4]
[1,1,2,6,5,4]=>[{1,2},{3},{6},{5},{4}]=>[1,2,3,6,5,4]
[1,1,4,2,5,6]=>[{1,2},{4},{3},{5},{6}]=>[1,2,4,3,5,6]
[1,1,4,2,6,5]=>[{1,2},{4},{3},{6},{5}]=>[1,2,4,3,6,5]
[1,1,4,5,2,6]=>[{1,2},{5},{3},{4},{6}]=>[1,2,5,3,4,6]
[1,1,4,5,6,2]=>[{1,2},{6},{3},{4},{5}]=>[1,2,6,3,4,5]
[1,1,4,6,2,5]=>[{1,2},{5},{3},{6},{4}]=>[1,2,5,3,6,4]
[1,1,4,6,5,2]=>[{1,2},{6},{3},{5},{4}]=>[1,2,6,3,5,4]
[1,1,5,2,4,6]=>[{1,2},{4},{5},{3},{6}]=>[1,2,4,5,3,6]
[1,1,5,2,6,4]=>[{1,2},{4},{6},{3},{5}]=>[1,2,4,6,3,5]
[1,1,5,4,2,6]=>[{1,2},{5},{4},{3},{6}]=>[1,2,5,4,3,6]
[1,1,5,4,6,2]=>[{1,2},{6},{4},{3},{5}]=>[1,2,6,4,3,5]
[1,1,5,6,2,4]=>[{1,2},{5},{6},{3},{4}]=>[1,2,5,6,3,4]
[1,1,5,6,4,2]=>[{1,2},{6},{5},{3},{4}]=>[1,2,6,5,3,4]
[1,1,6,2,4,5]=>[{1,2},{4},{5},{6},{3}]=>[1,2,4,5,6,3]
[1,1,6,2,5,4]=>[{1,2},{4},{6},{5},{3}]=>[1,2,4,6,5,3]
[1,1,6,4,2,5]=>[{1,2},{5},{4},{6},{3}]=>[1,2,5,4,6,3]
[1,1,6,4,5,2]=>[{1,2},{6},{4},{5},{3}]=>[1,2,6,4,5,3]
[1,1,6,5,2,4]=>[{1,2},{5},{6},{4},{3}]=>[1,2,5,6,4,3]
[1,1,6,5,4,2]=>[{1,2},{6},{5},{4},{3}]=>[1,2,6,5,4,3]
[1,2,1,4,5,6]=>[{1,3},{2},{4},{5},{6}]=>[1,3,2,4,5,6]
[1,2,1,4,6,5]=>[{1,3},{2},{4},{6},{5}]=>[1,3,2,4,6,5]
[1,2,1,5,4,6]=>[{1,3},{2},{5},{4},{6}]=>[1,3,2,5,4,6]
[1,2,1,5,6,4]=>[{1,3},{2},{6},{4},{5}]=>[1,3,2,6,4,5]
[1,2,1,6,4,5]=>[{1,3},{2},{5},{6},{4}]=>[1,3,2,5,6,4]
[1,2,1,6,5,4]=>[{1,3},{2},{6},{5},{4}]=>[1,3,2,6,5,4]
[1,2,4,1,5,6]=>[{1,4},{2},{3},{5},{6}]=>[1,4,2,3,5,6]
[1,2,4,1,6,5]=>[{1,4},{2},{3},{6},{5}]=>[1,4,2,3,6,5]
[1,2,4,5,1,6]=>[{1,5},{2},{3},{4},{6}]=>[1,5,2,3,4,6]
[1,2,4,5,6,1]=>[{1,6},{2},{3},{4},{5}]=>[1,6,2,3,4,5]
[1,2,4,6,1,5]=>[{1,5},{2},{3},{6},{4}]=>[1,5,2,3,6,4]
[1,2,4,6,5,1]=>[{1,6},{2},{3},{5},{4}]=>[1,6,2,3,5,4]
[1,2,5,1,4,6]=>[{1,4},{2},{5},{3},{6}]=>[1,4,2,5,3,6]
[1,2,5,1,6,4]=>[{1,4},{2},{6},{3},{5}]=>[1,4,2,6,3,5]
[1,2,5,4,1,6]=>[{1,5},{2},{4},{3},{6}]=>[1,5,2,4,3,6]
[1,2,5,4,6,1]=>[{1,6},{2},{4},{3},{5}]=>[1,6,2,4,3,5]
[1,2,5,6,1,4]=>[{1,5},{2},{6},{3},{4}]=>[1,5,2,6,3,4]
[1,2,5,6,4,1]=>[{1,6},{2},{5},{3},{4}]=>[1,6,2,5,3,4]
[1,2,6,1,4,5]=>[{1,4},{2},{5},{6},{3}]=>[1,4,2,5,6,3]
[1,2,6,1,5,4]=>[{1,4},{2},{6},{5},{3}]=>[1,4,2,6,5,3]
[1,2,6,4,1,5]=>[{1,5},{2},{4},{6},{3}]=>[1,5,2,4,6,3]
[1,2,6,4,5,1]=>[{1,6},{2},{4},{5},{3}]=>[1,6,2,4,5,3]
[1,2,6,5,1,4]=>[{1,5},{2},{6},{4},{3}]=>[1,5,2,6,4,3]
[1,2,6,5,4,1]=>[{1,6},{2},{5},{4},{3}]=>[1,6,2,5,4,3]
[1,4,1,2,5,6]=>[{1,3},{4},{2},{5},{6}]=>[1,3,4,2,5,6]
[1,4,1,2,6,5]=>[{1,3},{4},{2},{6},{5}]=>[1,3,4,2,6,5]
[1,4,1,5,2,6]=>[{1,3},{5},{2},{4},{6}]=>[1,3,5,2,4,6]
[1,4,1,5,6,2]=>[{1,3},{6},{2},{4},{5}]=>[1,3,6,2,4,5]
[1,4,1,6,2,5]=>[{1,3},{5},{2},{6},{4}]=>[1,3,5,2,6,4]
[1,4,1,6,5,2]=>[{1,3},{6},{2},{5},{4}]=>[1,3,6,2,5,4]
[1,4,2,1,5,6]=>[{1,4},{3},{2},{5},{6}]=>[1,4,3,2,5,6]
[1,4,2,1,6,5]=>[{1,4},{3},{2},{6},{5}]=>[1,4,3,2,6,5]
[1,4,2,5,1,6]=>[{1,5},{3},{2},{4},{6}]=>[1,5,3,2,4,6]
[1,4,2,5,6,1]=>[{1,6},{3},{2},{4},{5}]=>[1,6,3,2,4,5]
[1,4,2,6,1,5]=>[{1,5},{3},{2},{6},{4}]=>[1,5,3,2,6,4]
[1,4,2,6,5,1]=>[{1,6},{3},{2},{5},{4}]=>[1,6,3,2,5,4]
[1,4,5,1,2,6]=>[{1,4},{5},{2},{3},{6}]=>[1,4,5,2,3,6]
[1,4,5,1,6,2]=>[{1,4},{6},{2},{3},{5}]=>[1,4,6,2,3,5]
[1,4,5,2,1,6]=>[{1,5},{4},{2},{3},{6}]=>[1,5,4,2,3,6]
[1,4,5,2,6,1]=>[{1,6},{4},{2},{3},{5}]=>[1,6,4,2,3,5]
[1,4,5,6,1,2]=>[{1,5},{6},{2},{3},{4}]=>[1,5,6,2,3,4]
[1,4,5,6,2,1]=>[{1,6},{5},{2},{3},{4}]=>[1,6,5,2,3,4]
[1,4,6,1,2,5]=>[{1,4},{5},{2},{6},{3}]=>[1,4,5,2,6,3]
[1,4,6,1,5,2]=>[{1,4},{6},{2},{5},{3}]=>[1,4,6,2,5,3]
[1,4,6,2,1,5]=>[{1,5},{4},{2},{6},{3}]=>[1,5,4,2,6,3]
[1,4,6,2,5,1]=>[{1,6},{4},{2},{5},{3}]=>[1,6,4,2,5,3]
[1,4,6,5,1,2]=>[{1,5},{6},{2},{4},{3}]=>[1,5,6,2,4,3]
[1,4,6,5,2,1]=>[{1,6},{5},{2},{4},{3}]=>[1,6,5,2,4,3]
[1,5,1,2,4,6]=>[{1,3},{4},{5},{2},{6}]=>[1,3,4,5,2,6]
[1,5,1,2,6,4]=>[{1,3},{4},{6},{2},{5}]=>[1,3,4,6,2,5]
[1,5,1,4,2,6]=>[{1,3},{5},{4},{2},{6}]=>[1,3,5,4,2,6]
[1,5,1,4,6,2]=>[{1,3},{6},{4},{2},{5}]=>[1,3,6,4,2,5]
[1,5,1,6,2,4]=>[{1,3},{5},{6},{2},{4}]=>[1,3,5,6,2,4]
[1,5,1,6,4,2]=>[{1,3},{6},{5},{2},{4}]=>[1,3,6,5,2,4]
[1,5,2,1,4,6]=>[{1,4},{3},{5},{2},{6}]=>[1,4,3,5,2,6]
[1,5,2,1,6,4]=>[{1,4},{3},{6},{2},{5}]=>[1,4,3,6,2,5]
[1,5,2,4,1,6]=>[{1,5},{3},{4},{2},{6}]=>[1,5,3,4,2,6]
[1,5,2,4,6,1]=>[{1,6},{3},{4},{2},{5}]=>[1,6,3,4,2,5]
[1,5,2,6,1,4]=>[{1,5},{3},{6},{2},{4}]=>[1,5,3,6,2,4]
[1,5,2,6,4,1]=>[{1,6},{3},{5},{2},{4}]=>[1,6,3,5,2,4]
[1,5,4,1,2,6]=>[{1,4},{5},{3},{2},{6}]=>[1,4,5,3,2,6]
[1,5,4,1,6,2]=>[{1,4},{6},{3},{2},{5}]=>[1,4,6,3,2,5]
[1,5,4,2,1,6]=>[{1,5},{4},{3},{2},{6}]=>[1,5,4,3,2,6]
[1,5,4,2,6,1]=>[{1,6},{4},{3},{2},{5}]=>[1,6,4,3,2,5]
[1,5,4,6,1,2]=>[{1,5},{6},{3},{2},{4}]=>[1,5,6,3,2,4]
[1,5,4,6,2,1]=>[{1,6},{5},{3},{2},{4}]=>[1,6,5,3,2,4]
[1,5,6,1,2,4]=>[{1,4},{5},{6},{2},{3}]=>[1,4,5,6,2,3]
[1,5,6,1,4,2]=>[{1,4},{6},{5},{2},{3}]=>[1,4,6,5,2,3]
[1,5,6,2,1,4]=>[{1,5},{4},{6},{2},{3}]=>[1,5,4,6,2,3]
[1,5,6,2,4,1]=>[{1,6},{4},{5},{2},{3}]=>[1,6,4,5,2,3]
[1,5,6,4,1,2]=>[{1,5},{6},{4},{2},{3}]=>[1,5,6,4,2,3]
[1,5,6,4,2,1]=>[{1,6},{5},{4},{2},{3}]=>[1,6,5,4,2,3]
[1,6,1,2,4,5]=>[{1,3},{4},{5},{6},{2}]=>[1,3,4,5,6,2]
[1,6,1,2,5,4]=>[{1,3},{4},{6},{5},{2}]=>[1,3,4,6,5,2]
[1,6,1,4,2,5]=>[{1,3},{5},{4},{6},{2}]=>[1,3,5,4,6,2]
[1,6,1,4,5,2]=>[{1,3},{6},{4},{5},{2}]=>[1,3,6,4,5,2]
[1,6,1,5,2,4]=>[{1,3},{5},{6},{4},{2}]=>[1,3,5,6,4,2]
[1,6,1,5,4,2]=>[{1,3},{6},{5},{4},{2}]=>[1,3,6,5,4,2]
[1,6,2,1,4,5]=>[{1,4},{3},{5},{6},{2}]=>[1,4,3,5,6,2]
[1,6,2,1,5,4]=>[{1,4},{3},{6},{5},{2}]=>[1,4,3,6,5,2]
[1,6,2,4,1,5]=>[{1,5},{3},{4},{6},{2}]=>[1,5,3,4,6,2]
[1,6,2,4,5,1]=>[{1,6},{3},{4},{5},{2}]=>[1,6,3,4,5,2]
[1,6,2,5,1,4]=>[{1,5},{3},{6},{4},{2}]=>[1,5,3,6,4,2]
[1,6,2,5,4,1]=>[{1,6},{3},{5},{4},{2}]=>[1,6,3,5,4,2]
[1,6,4,1,2,5]=>[{1,4},{5},{3},{6},{2}]=>[1,4,5,3,6,2]
[1,6,4,1,5,2]=>[{1,4},{6},{3},{5},{2}]=>[1,4,6,3,5,2]
[1,6,4,2,1,5]=>[{1,5},{4},{3},{6},{2}]=>[1,5,4,3,6,2]
[1,6,4,2,5,1]=>[{1,6},{4},{3},{5},{2}]=>[1,6,4,3,5,2]
[1,6,4,5,1,2]=>[{1,5},{6},{3},{4},{2}]=>[1,5,6,3,4,2]
[1,6,4,5,2,1]=>[{1,6},{5},{3},{4},{2}]=>[1,6,5,3,4,2]
[1,6,5,1,2,4]=>[{1,4},{5},{6},{3},{2}]=>[1,4,5,6,3,2]
[1,6,5,1,4,2]=>[{1,4},{6},{5},{3},{2}]=>[1,4,6,5,3,2]
[1,6,5,2,1,4]=>[{1,5},{4},{6},{3},{2}]=>[1,5,4,6,3,2]
[1,6,5,2,4,1]=>[{1,6},{4},{5},{3},{2}]=>[1,6,4,5,3,2]
[1,6,5,4,1,2]=>[{1,5},{6},{4},{3},{2}]=>[1,5,6,4,3,2]
[1,6,5,4,2,1]=>[{1,6},{5},{4},{3},{2}]=>[1,6,5,4,3,2]
[2,1,1,4,5,6]=>[{2,3},{1},{4},{5},{6}]=>[2,3,1,4,5,6]
[2,1,1,4,6,5]=>[{2,3},{1},{4},{6},{5}]=>[2,3,1,4,6,5]
[2,1,1,5,4,6]=>[{2,3},{1},{5},{4},{6}]=>[2,3,1,5,4,6]
[2,1,1,5,6,4]=>[{2,3},{1},{6},{4},{5}]=>[2,3,1,6,4,5]
[2,1,1,6,4,5]=>[{2,3},{1},{5},{6},{4}]=>[2,3,1,5,6,4]
[2,1,1,6,5,4]=>[{2,3},{1},{6},{5},{4}]=>[2,3,1,6,5,4]
[2,1,4,1,5,6]=>[{2,4},{1},{3},{5},{6}]=>[2,4,1,3,5,6]
[2,1,4,1,6,5]=>[{2,4},{1},{3},{6},{5}]=>[2,4,1,3,6,5]
[2,1,4,5,1,6]=>[{2,5},{1},{3},{4},{6}]=>[2,5,1,3,4,6]
[2,1,4,5,6,1]=>[{2,6},{1},{3},{4},{5}]=>[2,6,1,3,4,5]
[2,1,4,6,1,5]=>[{2,5},{1},{3},{6},{4}]=>[2,5,1,3,6,4]
[2,1,4,6,5,1]=>[{2,6},{1},{3},{5},{4}]=>[2,6,1,3,5,4]
[2,1,5,1,4,6]=>[{2,4},{1},{5},{3},{6}]=>[2,4,1,5,3,6]
[2,1,5,1,6,4]=>[{2,4},{1},{6},{3},{5}]=>[2,4,1,6,3,5]
[2,1,5,4,1,6]=>[{2,5},{1},{4},{3},{6}]=>[2,5,1,4,3,6]
[2,1,5,4,6,1]=>[{2,6},{1},{4},{3},{5}]=>[2,6,1,4,3,5]
[2,1,5,6,1,4]=>[{2,5},{1},{6},{3},{4}]=>[2,5,1,6,3,4]
[2,1,5,6,4,1]=>[{2,6},{1},{5},{3},{4}]=>[2,6,1,5,3,4]
[2,1,6,1,4,5]=>[{2,4},{1},{5},{6},{3}]=>[2,4,1,5,6,3]
[2,1,6,1,5,4]=>[{2,4},{1},{6},{5},{3}]=>[2,4,1,6,5,3]
[2,1,6,4,1,5]=>[{2,5},{1},{4},{6},{3}]=>[2,5,1,4,6,3]
[2,1,6,4,5,1]=>[{2,6},{1},{4},{5},{3}]=>[2,6,1,4,5,3]
[2,1,6,5,1,4]=>[{2,5},{1},{6},{4},{3}]=>[2,5,1,6,4,3]
[2,1,6,5,4,1]=>[{2,6},{1},{5},{4},{3}]=>[2,6,1,5,4,3]
[2,4,1,1,5,6]=>[{3,4},{1},{2},{5},{6}]=>[3,4,1,2,5,6]
[2,4,1,1,6,5]=>[{3,4},{1},{2},{6},{5}]=>[3,4,1,2,6,5]
[2,4,1,5,1,6]=>[{3,5},{1},{2},{4},{6}]=>[3,5,1,2,4,6]
[2,4,1,5,6,1]=>[{3,6},{1},{2},{4},{5}]=>[3,6,1,2,4,5]
[2,4,1,6,1,5]=>[{3,5},{1},{2},{6},{4}]=>[3,5,1,2,6,4]
[2,4,1,6,5,1]=>[{3,6},{1},{2},{5},{4}]=>[3,6,1,2,5,4]
[2,4,5,1,1,6]=>[{4,5},{1},{2},{3},{6}]=>[4,5,1,2,3,6]
[2,4,5,1,6,1]=>[{4,6},{1},{2},{3},{5}]=>[4,6,1,2,3,5]
[2,4,5,6,1,1]=>[{5,6},{1},{2},{3},{4}]=>[5,6,1,2,3,4]
[2,4,6,1,1,5]=>[{4,5},{1},{2},{6},{3}]=>[4,5,1,2,6,3]
[2,4,6,1,5,1]=>[{4,6},{1},{2},{5},{3}]=>[4,6,1,2,5,3]
[2,4,6,5,1,1]=>[{5,6},{1},{2},{4},{3}]=>[5,6,1,2,4,3]
[2,5,1,1,4,6]=>[{3,4},{1},{5},{2},{6}]=>[3,4,1,5,2,6]
[2,5,1,1,6,4]=>[{3,4},{1},{6},{2},{5}]=>[3,4,1,6,2,5]
[2,5,1,4,1,6]=>[{3,5},{1},{4},{2},{6}]=>[3,5,1,4,2,6]
[2,5,1,4,6,1]=>[{3,6},{1},{4},{2},{5}]=>[3,6,1,4,2,5]
[2,5,1,6,1,4]=>[{3,5},{1},{6},{2},{4}]=>[3,5,1,6,2,4]
[2,5,1,6,4,1]=>[{3,6},{1},{5},{2},{4}]=>[3,6,1,5,2,4]
[2,5,4,1,1,6]=>[{4,5},{1},{3},{2},{6}]=>[4,5,1,3,2,6]
[2,5,4,1,6,1]=>[{4,6},{1},{3},{2},{5}]=>[4,6,1,3,2,5]
[2,5,4,6,1,1]=>[{5,6},{1},{3},{2},{4}]=>[5,6,1,3,2,4]
[2,5,6,1,1,4]=>[{4,5},{1},{6},{2},{3}]=>[4,5,1,6,2,3]
[2,5,6,1,4,1]=>[{4,6},{1},{5},{2},{3}]=>[4,6,1,5,2,3]
[2,5,6,4,1,1]=>[{5,6},{1},{4},{2},{3}]=>[5,6,1,4,2,3]
[2,6,1,1,4,5]=>[{3,4},{1},{5},{6},{2}]=>[3,4,1,5,6,2]
[2,6,1,1,5,4]=>[{3,4},{1},{6},{5},{2}]=>[3,4,1,6,5,2]
[2,6,1,4,1,5]=>[{3,5},{1},{4},{6},{2}]=>[3,5,1,4,6,2]
[2,6,1,4,5,1]=>[{3,6},{1},{4},{5},{2}]=>[3,6,1,4,5,2]
[2,6,1,5,1,4]=>[{3,5},{1},{6},{4},{2}]=>[3,5,1,6,4,2]
[2,6,1,5,4,1]=>[{3,6},{1},{5},{4},{2}]=>[3,6,1,5,4,2]
[2,6,4,1,1,5]=>[{4,5},{1},{3},{6},{2}]=>[4,5,1,3,6,2]
[2,6,4,1,5,1]=>[{4,6},{1},{3},{5},{2}]=>[4,6,1,3,5,2]
[2,6,4,5,1,1]=>[{5,6},{1},{3},{4},{2}]=>[5,6,1,3,4,2]
[2,6,5,1,1,4]=>[{4,5},{1},{6},{3},{2}]=>[4,5,1,6,3,2]
[2,6,5,1,4,1]=>[{4,6},{1},{5},{3},{2}]=>[4,6,1,5,3,2]
[2,6,5,4,1,1]=>[{5,6},{1},{4},{3},{2}]=>[5,6,1,4,3,2]
[4,1,1,2,5,6]=>[{2,3},{4},{1},{5},{6}]=>[2,3,4,1,5,6]
[4,1,1,2,6,5]=>[{2,3},{4},{1},{6},{5}]=>[2,3,4,1,6,5]
[4,1,1,5,2,6]=>[{2,3},{5},{1},{4},{6}]=>[2,3,5,1,4,6]
[4,1,1,5,6,2]=>[{2,3},{6},{1},{4},{5}]=>[2,3,6,1,4,5]
[4,1,1,6,2,5]=>[{2,3},{5},{1},{6},{4}]=>[2,3,5,1,6,4]
[4,1,1,6,5,2]=>[{2,3},{6},{1},{5},{4}]=>[2,3,6,1,5,4]
[4,1,2,1,5,6]=>[{2,4},{3},{1},{5},{6}]=>[2,4,3,1,5,6]
[4,1,2,1,6,5]=>[{2,4},{3},{1},{6},{5}]=>[2,4,3,1,6,5]
[4,1,2,5,1,6]=>[{2,5},{3},{1},{4},{6}]=>[2,5,3,1,4,6]
[4,1,2,5,6,1]=>[{2,6},{3},{1},{4},{5}]=>[2,6,3,1,4,5]
[4,1,2,6,1,5]=>[{2,5},{3},{1},{6},{4}]=>[2,5,3,1,6,4]
[4,1,2,6,5,1]=>[{2,6},{3},{1},{5},{4}]=>[2,6,3,1,5,4]
[4,1,5,1,2,6]=>[{2,4},{5},{1},{3},{6}]=>[2,4,5,1,3,6]
[4,1,5,1,6,2]=>[{2,4},{6},{1},{3},{5}]=>[2,4,6,1,3,5]
[4,1,5,2,1,6]=>[{2,5},{4},{1},{3},{6}]=>[2,5,4,1,3,6]
[4,1,5,2,6,1]=>[{2,6},{4},{1},{3},{5}]=>[2,6,4,1,3,5]
[4,1,5,6,1,2]=>[{2,5},{6},{1},{3},{4}]=>[2,5,6,1,3,4]
[4,1,5,6,2,1]=>[{2,6},{5},{1},{3},{4}]=>[2,6,5,1,3,4]
[4,1,6,1,2,5]=>[{2,4},{5},{1},{6},{3}]=>[2,4,5,1,6,3]
[4,1,6,1,5,2]=>[{2,4},{6},{1},{5},{3}]=>[2,4,6,1,5,3]
[4,1,6,2,1,5]=>[{2,5},{4},{1},{6},{3}]=>[2,5,4,1,6,3]
[4,1,6,2,5,1]=>[{2,6},{4},{1},{5},{3}]=>[2,6,4,1,5,3]
[4,1,6,5,1,2]=>[{2,5},{6},{1},{4},{3}]=>[2,5,6,1,4,3]
[4,1,6,5,2,1]=>[{2,6},{5},{1},{4},{3}]=>[2,6,5,1,4,3]
[4,2,1,1,5,6]=>[{3,4},{2},{1},{5},{6}]=>[3,4,2,1,5,6]
[4,2,1,1,6,5]=>[{3,4},{2},{1},{6},{5}]=>[3,4,2,1,6,5]
[4,2,1,5,1,6]=>[{3,5},{2},{1},{4},{6}]=>[3,5,2,1,4,6]
[4,2,1,5,6,1]=>[{3,6},{2},{1},{4},{5}]=>[3,6,2,1,4,5]
[4,2,1,6,1,5]=>[{3,5},{2},{1},{6},{4}]=>[3,5,2,1,6,4]
[4,2,1,6,5,1]=>[{3,6},{2},{1},{5},{4}]=>[3,6,2,1,5,4]
[4,2,5,1,1,6]=>[{4,5},{2},{1},{3},{6}]=>[4,5,2,1,3,6]
[4,2,5,1,6,1]=>[{4,6},{2},{1},{3},{5}]=>[4,6,2,1,3,5]
[4,2,5,6,1,1]=>[{5,6},{2},{1},{3},{4}]=>[5,6,2,1,3,4]
[4,2,6,1,1,5]=>[{4,5},{2},{1},{6},{3}]=>[4,5,2,1,6,3]
[4,2,6,1,5,1]=>[{4,6},{2},{1},{5},{3}]=>[4,6,2,1,5,3]
[4,2,6,5,1,1]=>[{5,6},{2},{1},{4},{3}]=>[5,6,2,1,4,3]
[4,5,1,1,2,6]=>[{3,4},{5},{1},{2},{6}]=>[3,4,5,1,2,6]
[4,5,1,1,6,2]=>[{3,4},{6},{1},{2},{5}]=>[3,4,6,1,2,5]
[4,5,1,2,1,6]=>[{3,5},{4},{1},{2},{6}]=>[3,5,4,1,2,6]
[4,5,1,2,6,1]=>[{3,6},{4},{1},{2},{5}]=>[3,6,4,1,2,5]
[4,5,1,6,1,2]=>[{3,5},{6},{1},{2},{4}]=>[3,5,6,1,2,4]
[4,5,1,6,2,1]=>[{3,6},{5},{1},{2},{4}]=>[3,6,5,1,2,4]
[4,5,2,1,1,6]=>[{4,5},{3},{1},{2},{6}]=>[4,5,3,1,2,6]
[4,5,2,1,6,1]=>[{4,6},{3},{1},{2},{5}]=>[4,6,3,1,2,5]
[4,5,2,6,1,1]=>[{5,6},{3},{1},{2},{4}]=>[5,6,3,1,2,4]
[4,5,6,1,1,2]=>[{4,5},{6},{1},{2},{3}]=>[4,5,6,1,2,3]
[4,5,6,1,2,1]=>[{4,6},{5},{1},{2},{3}]=>[4,6,5,1,2,3]
[4,5,6,2,1,1]=>[{5,6},{4},{1},{2},{3}]=>[5,6,4,1,2,3]
[4,6,1,1,2,5]=>[{3,4},{5},{1},{6},{2}]=>[3,4,5,1,6,2]
[4,6,1,1,5,2]=>[{3,4},{6},{1},{5},{2}]=>[3,4,6,1,5,2]
[4,6,1,2,1,5]=>[{3,5},{4},{1},{6},{2}]=>[3,5,4,1,6,2]
[4,6,1,2,5,1]=>[{3,6},{4},{1},{5},{2}]=>[3,6,4,1,5,2]
[4,6,1,5,1,2]=>[{3,5},{6},{1},{4},{2}]=>[3,5,6,1,4,2]
[4,6,1,5,2,1]=>[{3,6},{5},{1},{4},{2}]=>[3,6,5,1,4,2]
[4,6,2,1,1,5]=>[{4,5},{3},{1},{6},{2}]=>[4,5,3,1,6,2]
[4,6,2,1,5,1]=>[{4,6},{3},{1},{5},{2}]=>[4,6,3,1,5,2]
[4,6,2,5,1,1]=>[{5,6},{3},{1},{4},{2}]=>[5,6,3,1,4,2]
[4,6,5,1,1,2]=>[{4,5},{6},{1},{3},{2}]=>[4,5,6,1,3,2]
[4,6,5,1,2,1]=>[{4,6},{5},{1},{3},{2}]=>[4,6,5,1,3,2]
[4,6,5,2,1,1]=>[{5,6},{4},{1},{3},{2}]=>[5,6,4,1,3,2]
[5,1,1,2,4,6]=>[{2,3},{4},{5},{1},{6}]=>[2,3,4,5,1,6]
[5,1,1,2,6,4]=>[{2,3},{4},{6},{1},{5}]=>[2,3,4,6,1,5]
[5,1,1,4,2,6]=>[{2,3},{5},{4},{1},{6}]=>[2,3,5,4,1,6]
[5,1,1,4,6,2]=>[{2,3},{6},{4},{1},{5}]=>[2,3,6,4,1,5]
[5,1,1,6,2,4]=>[{2,3},{5},{6},{1},{4}]=>[2,3,5,6,1,4]
[5,1,1,6,4,2]=>[{2,3},{6},{5},{1},{4}]=>[2,3,6,5,1,4]
[5,1,2,1,4,6]=>[{2,4},{3},{5},{1},{6}]=>[2,4,3,5,1,6]
[5,1,2,1,6,4]=>[{2,4},{3},{6},{1},{5}]=>[2,4,3,6,1,5]
[5,1,2,4,1,6]=>[{2,5},{3},{4},{1},{6}]=>[2,5,3,4,1,6]
[5,1,2,4,6,1]=>[{2,6},{3},{4},{1},{5}]=>[2,6,3,4,1,5]
[5,1,2,6,1,4]=>[{2,5},{3},{6},{1},{4}]=>[2,5,3,6,1,4]
[5,1,2,6,4,1]=>[{2,6},{3},{5},{1},{4}]=>[2,6,3,5,1,4]
[5,1,4,1,2,6]=>[{2,4},{5},{3},{1},{6}]=>[2,4,5,3,1,6]
[5,1,4,1,6,2]=>[{2,4},{6},{3},{1},{5}]=>[2,4,6,3,1,5]
[5,1,4,2,1,6]=>[{2,5},{4},{3},{1},{6}]=>[2,5,4,3,1,6]
[5,1,4,2,6,1]=>[{2,6},{4},{3},{1},{5}]=>[2,6,4,3,1,5]
[5,1,4,6,1,2]=>[{2,5},{6},{3},{1},{4}]=>[2,5,6,3,1,4]
[5,1,4,6,2,1]=>[{2,6},{5},{3},{1},{4}]=>[2,6,5,3,1,4]
[5,1,6,1,2,4]=>[{2,4},{5},{6},{1},{3}]=>[2,4,5,6,1,3]
[5,1,6,1,4,2]=>[{2,4},{6},{5},{1},{3}]=>[2,4,6,5,1,3]
[5,1,6,2,1,4]=>[{2,5},{4},{6},{1},{3}]=>[2,5,4,6,1,3]
[5,1,6,2,4,1]=>[{2,6},{4},{5},{1},{3}]=>[2,6,4,5,1,3]
[5,1,6,4,1,2]=>[{2,5},{6},{4},{1},{3}]=>[2,5,6,4,1,3]
[5,1,6,4,2,1]=>[{2,6},{5},{4},{1},{3}]=>[2,6,5,4,1,3]
[5,2,1,1,4,6]=>[{3,4},{2},{5},{1},{6}]=>[3,4,2,5,1,6]
[5,2,1,1,6,4]=>[{3,4},{2},{6},{1},{5}]=>[3,4,2,6,1,5]
[5,2,1,4,1,6]=>[{3,5},{2},{4},{1},{6}]=>[3,5,2,4,1,6]
[5,2,1,4,6,1]=>[{3,6},{2},{4},{1},{5}]=>[3,6,2,4,1,5]
[5,2,1,6,1,4]=>[{3,5},{2},{6},{1},{4}]=>[3,5,2,6,1,4]
[5,2,1,6,4,1]=>[{3,6},{2},{5},{1},{4}]=>[3,6,2,5,1,4]
[5,2,4,1,1,6]=>[{4,5},{2},{3},{1},{6}]=>[4,5,2,3,1,6]
[5,2,4,1,6,1]=>[{4,6},{2},{3},{1},{5}]=>[4,6,2,3,1,5]
[5,2,4,6,1,1]=>[{5,6},{2},{3},{1},{4}]=>[5,6,2,3,1,4]
[5,2,6,1,1,4]=>[{4,5},{2},{6},{1},{3}]=>[4,5,2,6,1,3]
[5,2,6,1,4,1]=>[{4,6},{2},{5},{1},{3}]=>[4,6,2,5,1,3]
[5,2,6,4,1,1]=>[{5,6},{2},{4},{1},{3}]=>[5,6,2,4,1,3]
[5,4,1,1,2,6]=>[{3,4},{5},{2},{1},{6}]=>[3,4,5,2,1,6]
[5,4,1,1,6,2]=>[{3,4},{6},{2},{1},{5}]=>[3,4,6,2,1,5]
[5,4,1,2,1,6]=>[{3,5},{4},{2},{1},{6}]=>[3,5,4,2,1,6]
[5,4,1,2,6,1]=>[{3,6},{4},{2},{1},{5}]=>[3,6,4,2,1,5]
[5,4,1,6,1,2]=>[{3,5},{6},{2},{1},{4}]=>[3,5,6,2,1,4]
[5,4,1,6,2,1]=>[{3,6},{5},{2},{1},{4}]=>[3,6,5,2,1,4]
[5,4,2,1,1,6]=>[{4,5},{3},{2},{1},{6}]=>[4,5,3,2,1,6]
[5,4,2,1,6,1]=>[{4,6},{3},{2},{1},{5}]=>[4,6,3,2,1,5]
[5,4,2,6,1,1]=>[{5,6},{3},{2},{1},{4}]=>[5,6,3,2,1,4]
[5,4,6,1,1,2]=>[{4,5},{6},{2},{1},{3}]=>[4,5,6,2,1,3]
[5,4,6,1,2,1]=>[{4,6},{5},{2},{1},{3}]=>[4,6,5,2,1,3]
[5,4,6,2,1,1]=>[{5,6},{4},{2},{1},{3}]=>[5,6,4,2,1,3]
[5,6,1,1,2,4]=>[{3,4},{5},{6},{1},{2}]=>[3,4,5,6,1,2]
[5,6,1,1,4,2]=>[{3,4},{6},{5},{1},{2}]=>[3,4,6,5,1,2]
[5,6,1,2,1,4]=>[{3,5},{4},{6},{1},{2}]=>[3,5,4,6,1,2]
[5,6,1,2,4,1]=>[{3,6},{4},{5},{1},{2}]=>[3,6,4,5,1,2]
[5,6,1,4,1,2]=>[{3,5},{6},{4},{1},{2}]=>[3,5,6,4,1,2]
[5,6,1,4,2,1]=>[{3,6},{5},{4},{1},{2}]=>[3,6,5,4,1,2]
[5,6,2,1,1,4]=>[{4,5},{3},{6},{1},{2}]=>[4,5,3,6,1,2]
[5,6,2,1,4,1]=>[{4,6},{3},{5},{1},{2}]=>[4,6,3,5,1,2]
[5,6,2,4,1,1]=>[{5,6},{3},{4},{1},{2}]=>[5,6,3,4,1,2]
[5,6,4,1,1,2]=>[{4,5},{6},{3},{1},{2}]=>[4,5,6,3,1,2]
[5,6,4,1,2,1]=>[{4,6},{5},{3},{1},{2}]=>[4,6,5,3,1,2]
[5,6,4,2,1,1]=>[{5,6},{4},{3},{1},{2}]=>[5,6,4,3,1,2]
[6,1,1,2,4,5]=>[{2,3},{4},{5},{6},{1}]=>[2,3,4,5,6,1]
[6,1,1,2,5,4]=>[{2,3},{4},{6},{5},{1}]=>[2,3,4,6,5,1]
[6,1,1,4,2,5]=>[{2,3},{5},{4},{6},{1}]=>[2,3,5,4,6,1]
[6,1,1,4,5,2]=>[{2,3},{6},{4},{5},{1}]=>[2,3,6,4,5,1]
[6,1,1,5,2,4]=>[{2,3},{5},{6},{4},{1}]=>[2,3,5,6,4,1]
[6,1,1,5,4,2]=>[{2,3},{6},{5},{4},{1}]=>[2,3,6,5,4,1]
[6,1,2,1,4,5]=>[{2,4},{3},{5},{6},{1}]=>[2,4,3,5,6,1]
[6,1,2,1,5,4]=>[{2,4},{3},{6},{5},{1}]=>[2,4,3,6,5,1]
[6,1,2,4,1,5]=>[{2,5},{3},{4},{6},{1}]=>[2,5,3,4,6,1]
[6,1,2,4,5,1]=>[{2,6},{3},{4},{5},{1}]=>[2,6,3,4,5,1]
[6,1,2,5,1,4]=>[{2,5},{3},{6},{4},{1}]=>[2,5,3,6,4,1]
[6,1,2,5,4,1]=>[{2,6},{3},{5},{4},{1}]=>[2,6,3,5,4,1]
[6,1,4,1,2,5]=>[{2,4},{5},{3},{6},{1}]=>[2,4,5,3,6,1]
[6,1,4,1,5,2]=>[{2,4},{6},{3},{5},{1}]=>[2,4,6,3,5,1]
[6,1,4,2,1,5]=>[{2,5},{4},{3},{6},{1}]=>[2,5,4,3,6,1]
[6,1,4,2,5,1]=>[{2,6},{4},{3},{5},{1}]=>[2,6,4,3,5,1]
[6,1,4,5,1,2]=>[{2,5},{6},{3},{4},{1}]=>[2,5,6,3,4,1]
[6,1,4,5,2,1]=>[{2,6},{5},{3},{4},{1}]=>[2,6,5,3,4,1]
[6,1,5,1,2,4]=>[{2,4},{5},{6},{3},{1}]=>[2,4,5,6,3,1]
[6,1,5,1,4,2]=>[{2,4},{6},{5},{3},{1}]=>[2,4,6,5,3,1]
[6,1,5,2,1,4]=>[{2,5},{4},{6},{3},{1}]=>[2,5,4,6,3,1]
[6,1,5,2,4,1]=>[{2,6},{4},{5},{3},{1}]=>[2,6,4,5,3,1]
[6,1,5,4,1,2]=>[{2,5},{6},{4},{3},{1}]=>[2,5,6,4,3,1]
[6,1,5,4,2,1]=>[{2,6},{5},{4},{3},{1}]=>[2,6,5,4,3,1]
[6,2,1,1,4,5]=>[{3,4},{2},{5},{6},{1}]=>[3,4,2,5,6,1]
[6,2,1,1,5,4]=>[{3,4},{2},{6},{5},{1}]=>[3,4,2,6,5,1]
[6,2,1,4,1,5]=>[{3,5},{2},{4},{6},{1}]=>[3,5,2,4,6,1]
[6,2,1,4,5,1]=>[{3,6},{2},{4},{5},{1}]=>[3,6,2,4,5,1]
[6,2,1,5,1,4]=>[{3,5},{2},{6},{4},{1}]=>[3,5,2,6,4,1]
[6,2,1,5,4,1]=>[{3,6},{2},{5},{4},{1}]=>[3,6,2,5,4,1]
[6,2,4,1,1,5]=>[{4,5},{2},{3},{6},{1}]=>[4,5,2,3,6,1]
[6,2,4,1,5,1]=>[{4,6},{2},{3},{5},{1}]=>[4,6,2,3,5,1]
[6,2,4,5,1,1]=>[{5,6},{2},{3},{4},{1}]=>[5,6,2,3,4,1]
[6,2,5,1,1,4]=>[{4,5},{2},{6},{3},{1}]=>[4,5,2,6,3,1]
[6,2,5,1,4,1]=>[{4,6},{2},{5},{3},{1}]=>[4,6,2,5,3,1]
[6,2,5,4,1,1]=>[{5,6},{2},{4},{3},{1}]=>[5,6,2,4,3,1]
[6,4,1,1,2,5]=>[{3,4},{5},{2},{6},{1}]=>[3,4,5,2,6,1]
[6,4,1,1,5,2]=>[{3,4},{6},{2},{5},{1}]=>[3,4,6,2,5,1]
[6,4,1,2,1,5]=>[{3,5},{4},{2},{6},{1}]=>[3,5,4,2,6,1]
[6,4,1,2,5,1]=>[{3,6},{4},{2},{5},{1}]=>[3,6,4,2,5,1]
[6,4,1,5,1,2]=>[{3,5},{6},{2},{4},{1}]=>[3,5,6,2,4,1]
[6,4,1,5,2,1]=>[{3,6},{5},{2},{4},{1}]=>[3,6,5,2,4,1]
[6,4,2,1,1,5]=>[{4,5},{3},{2},{6},{1}]=>[4,5,3,2,6,1]
[6,4,2,1,5,1]=>[{4,6},{3},{2},{5},{1}]=>[4,6,3,2,5,1]
[6,4,2,5,1,1]=>[{5,6},{3},{2},{4},{1}]=>[5,6,3,2,4,1]
[6,4,5,1,1,2]=>[{4,5},{6},{2},{3},{1}]=>[4,5,6,2,3,1]
[6,4,5,1,2,1]=>[{4,6},{5},{2},{3},{1}]=>[4,6,5,2,3,1]
[6,4,5,2,1,1]=>[{5,6},{4},{2},{3},{1}]=>[5,6,4,2,3,1]
[6,5,1,1,2,4]=>[{3,4},{5},{6},{2},{1}]=>[3,4,5,6,2,1]
[6,5,1,1,4,2]=>[{3,4},{6},{5},{2},{1}]=>[3,4,6,5,2,1]
[6,5,1,2,1,4]=>[{3,5},{4},{6},{2},{1}]=>[3,5,4,6,2,1]
[6,5,1,2,4,1]=>[{3,6},{4},{5},{2},{1}]=>[3,6,4,5,2,1]
[6,5,1,4,1,2]=>[{3,5},{6},{4},{2},{1}]=>[3,5,6,4,2,1]
[6,5,1,4,2,1]=>[{3,6},{5},{4},{2},{1}]=>[3,6,5,4,2,1]
[6,5,2,1,1,4]=>[{4,5},{3},{6},{2},{1}]=>[4,5,3,6,2,1]
[6,5,2,1,4,1]=>[{4,6},{3},{5},{2},{1}]=>[4,6,3,5,2,1]
[6,5,2,4,1,1]=>[{5,6},{3},{4},{2},{1}]=>[5,6,3,4,2,1]
[6,5,4,1,1,2]=>[{4,5},{6},{3},{2},{1}]=>[4,5,6,3,2,1]
[6,5,4,1,2,1]=>[{4,6},{5},{3},{2},{1}]=>[4,6,5,3,2,1]
[6,5,4,2,1,1]=>[{5,6},{4},{3},{2},{1}]=>[5,6,4,3,2,1]
[1,1,3,3,3,3]=>[{1,2},{3,4,5,6}]=>[1,2,3,4,5,6]
[1,3,1,3,3,3]=>[{1,3},{2,4,5,6}]=>[1,3,2,4,5,6]
[1,3,3,1,3,3]=>[{1,4},{2,3,5,6}]=>[1,4,2,3,5,6]
[1,3,3,3,1,3]=>[{1,5},{2,3,4,6}]=>[1,5,2,3,4,6]
[1,3,3,3,3,1]=>[{1,6},{2,3,4,5}]=>[1,6,2,3,4,5]
[3,1,1,3,3,3]=>[{2,3},{1,4,5,6}]=>[2,3,1,4,5,6]
[3,1,3,1,3,3]=>[{2,4},{1,3,5,6}]=>[2,4,1,3,5,6]
[3,1,3,3,1,3]=>[{2,5},{1,3,4,6}]=>[2,5,1,3,4,6]
[3,1,3,3,3,1]=>[{2,6},{1,3,4,5}]=>[2,6,1,3,4,5]
[3,3,1,1,3,3]=>[{3,4},{1,2,5,6}]=>[3,4,1,2,5,6]
[3,3,1,3,1,3]=>[{3,5},{1,2,4,6}]=>[3,5,1,2,4,6]
[3,3,1,3,3,1]=>[{3,6},{1,2,4,5}]=>[3,6,1,2,4,5]
[3,3,3,1,1,3]=>[{4,5},{1,2,3,6}]=>[4,5,1,2,3,6]
[3,3,3,1,3,1]=>[{4,6},{1,2,3,5}]=>[4,6,1,2,3,5]
[3,3,3,3,1,1]=>[{5,6},{1,2,3,4}]=>[5,6,1,2,3,4]
[1,1,3,3,3,4]=>[{1,2},{3,4,5},{6}]=>[1,2,3,4,5,6]
[1,1,3,3,4,3]=>[{1,2},{3,4,6},{5}]=>[1,2,3,4,6,5]
[1,1,3,4,3,3]=>[{1,2},{3,5,6},{4}]=>[1,2,3,5,6,4]
[1,1,4,3,3,3]=>[{1,2},{4,5,6},{3}]=>[1,2,4,5,6,3]
[1,3,1,3,3,4]=>[{1,3},{2,4,5},{6}]=>[1,3,2,4,5,6]
[1,3,1,3,4,3]=>[{1,3},{2,4,6},{5}]=>[1,3,2,4,6,5]
[1,3,1,4,3,3]=>[{1,3},{2,5,6},{4}]=>[1,3,2,5,6,4]
[1,3,3,1,3,4]=>[{1,4},{2,3,5},{6}]=>[1,4,2,3,5,6]
[1,3,3,1,4,3]=>[{1,4},{2,3,6},{5}]=>[1,4,2,3,6,5]
[1,3,3,3,1,4]=>[{1,5},{2,3,4},{6}]=>[1,5,2,3,4,6]
[1,3,3,3,4,1]=>[{1,6},{2,3,4},{5}]=>[1,6,2,3,4,5]
[1,3,3,4,1,3]=>[{1,5},{2,3,6},{4}]=>[1,5,2,3,6,4]
[1,3,3,4,3,1]=>[{1,6},{2,3,5},{4}]=>[1,6,2,3,5,4]
[1,3,4,1,3,3]=>[{1,4},{2,5,6},{3}]=>[1,4,2,5,6,3]
[1,3,4,3,1,3]=>[{1,5},{2,4,6},{3}]=>[1,5,2,4,6,3]
[1,3,4,3,3,1]=>[{1,6},{2,4,5},{3}]=>[1,6,2,4,5,3]
[1,4,1,3,3,3]=>[{1,3},{4,5,6},{2}]=>[1,3,4,5,6,2]
[1,4,3,1,3,3]=>[{1,4},{3,5,6},{2}]=>[1,4,3,5,6,2]
[1,4,3,3,1,3]=>[{1,5},{3,4,6},{2}]=>[1,5,3,4,6,2]
[1,4,3,3,3,1]=>[{1,6},{3,4,5},{2}]=>[1,6,3,4,5,2]
[3,1,1,3,3,4]=>[{2,3},{1,4,5},{6}]=>[2,3,1,4,5,6]
[3,1,1,3,4,3]=>[{2,3},{1,4,6},{5}]=>[2,3,1,4,6,5]
[3,1,1,4,3,3]=>[{2,3},{1,5,6},{4}]=>[2,3,1,5,6,4]
[3,1,3,1,3,4]=>[{2,4},{1,3,5},{6}]=>[2,4,1,3,5,6]
[3,1,3,1,4,3]=>[{2,4},{1,3,6},{5}]=>[2,4,1,3,6,5]
[3,1,3,3,1,4]=>[{2,5},{1,3,4},{6}]=>[2,5,1,3,4,6]
[3,1,3,3,4,1]=>[{2,6},{1,3,4},{5}]=>[2,6,1,3,4,5]
[3,1,3,4,1,3]=>[{2,5},{1,3,6},{4}]=>[2,5,1,3,6,4]
[3,1,3,4,3,1]=>[{2,6},{1,3,5},{4}]=>[2,6,1,3,5,4]
[3,1,4,1,3,3]=>[{2,4},{1,5,6},{3}]=>[2,4,1,5,6,3]
[3,1,4,3,1,3]=>[{2,5},{1,4,6},{3}]=>[2,5,1,4,6,3]
[3,1,4,3,3,1]=>[{2,6},{1,4,5},{3}]=>[2,6,1,4,5,3]
[3,3,1,1,3,4]=>[{3,4},{1,2,5},{6}]=>[3,4,1,2,5,6]
[3,3,1,1,4,3]=>[{3,4},{1,2,6},{5}]=>[3,4,1,2,6,5]
[3,3,1,3,1,4]=>[{3,5},{1,2,4},{6}]=>[3,5,1,2,4,6]
[3,3,1,3,4,1]=>[{3,6},{1,2,4},{5}]=>[3,6,1,2,4,5]
[3,3,1,4,1,3]=>[{3,5},{1,2,6},{4}]=>[3,5,1,2,6,4]
[3,3,1,4,3,1]=>[{3,6},{1,2,5},{4}]=>[3,6,1,2,5,4]
[3,3,3,1,1,4]=>[{4,5},{1,2,3},{6}]=>[4,5,1,2,3,6]
[3,3,3,1,4,1]=>[{4,6},{1,2,3},{5}]=>[4,6,1,2,3,5]
[3,3,3,4,1,1]=>[{5,6},{1,2,3},{4}]=>[5,6,1,2,3,4]
[3,3,4,1,1,3]=>[{4,5},{1,2,6},{3}]=>[4,5,1,2,6,3]
[3,3,4,1,3,1]=>[{4,6},{1,2,5},{3}]=>[4,6,1,2,5,3]
[3,3,4,3,1,1]=>[{5,6},{1,2,4},{3}]=>[5,6,1,2,4,3]
[3,4,1,1,3,3]=>[{3,4},{1,5,6},{2}]=>[3,4,1,5,6,2]
[3,4,1,3,1,3]=>[{3,5},{1,4,6},{2}]=>[3,5,1,4,6,2]
[3,4,1,3,3,1]=>[{3,6},{1,4,5},{2}]=>[3,6,1,4,5,2]
[3,4,3,1,1,3]=>[{4,5},{1,3,6},{2}]=>[4,5,1,3,6,2]
[3,4,3,1,3,1]=>[{4,6},{1,3,5},{2}]=>[4,6,1,3,5,2]
[3,4,3,3,1,1]=>[{5,6},{1,3,4},{2}]=>[5,6,1,3,4,2]
[4,1,1,3,3,3]=>[{2,3},{4,5,6},{1}]=>[2,3,4,5,6,1]
[4,1,3,1,3,3]=>[{2,4},{3,5,6},{1}]=>[2,4,3,5,6,1]
[4,1,3,3,1,3]=>[{2,5},{3,4,6},{1}]=>[2,5,3,4,6,1]
[4,1,3,3,3,1]=>[{2,6},{3,4,5},{1}]=>[2,6,3,4,5,1]
[4,3,1,1,3,3]=>[{3,4},{2,5,6},{1}]=>[3,4,2,5,6,1]
[4,3,1,3,1,3]=>[{3,5},{2,4,6},{1}]=>[3,5,2,4,6,1]
[4,3,1,3,3,1]=>[{3,6},{2,4,5},{1}]=>[3,6,2,4,5,1]
[4,3,3,1,1,3]=>[{4,5},{2,3,6},{1}]=>[4,5,2,3,6,1]
[4,3,3,1,3,1]=>[{4,6},{2,3,5},{1}]=>[4,6,2,3,5,1]
[4,3,3,3,1,1]=>[{5,6},{2,3,4},{1}]=>[5,6,2,3,4,1]
[1,1,3,3,3,5]=>[{1,2},{3,4,5},{6}]=>[1,2,3,4,5,6]
[1,1,3,3,5,3]=>[{1,2},{3,4,6},{5}]=>[1,2,3,4,6,5]
[1,1,3,5,3,3]=>[{1,2},{3,5,6},{4}]=>[1,2,3,5,6,4]
[1,1,5,3,3,3]=>[{1,2},{4,5,6},{3}]=>[1,2,4,5,6,3]
[1,3,1,3,3,5]=>[{1,3},{2,4,5},{6}]=>[1,3,2,4,5,6]
[1,3,1,3,5,3]=>[{1,3},{2,4,6},{5}]=>[1,3,2,4,6,5]
[1,3,1,5,3,3]=>[{1,3},{2,5,6},{4}]=>[1,3,2,5,6,4]
[1,3,3,1,3,5]=>[{1,4},{2,3,5},{6}]=>[1,4,2,3,5,6]
[1,3,3,1,5,3]=>[{1,4},{2,3,6},{5}]=>[1,4,2,3,6,5]
[1,3,3,3,1,5]=>[{1,5},{2,3,4},{6}]=>[1,5,2,3,4,6]
[1,3,3,3,5,1]=>[{1,6},{2,3,4},{5}]=>[1,6,2,3,4,5]
[1,3,3,5,1,3]=>[{1,5},{2,3,6},{4}]=>[1,5,2,3,6,4]
[1,3,3,5,3,1]=>[{1,6},{2,3,5},{4}]=>[1,6,2,3,5,4]
[1,3,5,1,3,3]=>[{1,4},{2,5,6},{3}]=>[1,4,2,5,6,3]
[1,3,5,3,1,3]=>[{1,5},{2,4,6},{3}]=>[1,5,2,4,6,3]
[1,3,5,3,3,1]=>[{1,6},{2,4,5},{3}]=>[1,6,2,4,5,3]
[1,5,1,3,3,3]=>[{1,3},{4,5,6},{2}]=>[1,3,4,5,6,2]
[1,5,3,1,3,3]=>[{1,4},{3,5,6},{2}]=>[1,4,3,5,6,2]
[1,5,3,3,1,3]=>[{1,5},{3,4,6},{2}]=>[1,5,3,4,6,2]
[1,5,3,3,3,1]=>[{1,6},{3,4,5},{2}]=>[1,6,3,4,5,2]
[3,1,1,3,3,5]=>[{2,3},{1,4,5},{6}]=>[2,3,1,4,5,6]
[3,1,1,3,5,3]=>[{2,3},{1,4,6},{5}]=>[2,3,1,4,6,5]
[3,1,1,5,3,3]=>[{2,3},{1,5,6},{4}]=>[2,3,1,5,6,4]
[3,1,3,1,3,5]=>[{2,4},{1,3,5},{6}]=>[2,4,1,3,5,6]
[3,1,3,1,5,3]=>[{2,4},{1,3,6},{5}]=>[2,4,1,3,6,5]
[3,1,3,3,1,5]=>[{2,5},{1,3,4},{6}]=>[2,5,1,3,4,6]
[3,1,3,3,5,1]=>[{2,6},{1,3,4},{5}]=>[2,6,1,3,4,5]
[3,1,3,5,1,3]=>[{2,5},{1,3,6},{4}]=>[2,5,1,3,6,4]
[3,1,3,5,3,1]=>[{2,6},{1,3,5},{4}]=>[2,6,1,3,5,4]
[3,1,5,1,3,3]=>[{2,4},{1,5,6},{3}]=>[2,4,1,5,6,3]
[3,1,5,3,1,3]=>[{2,5},{1,4,6},{3}]=>[2,5,1,4,6,3]
[3,1,5,3,3,1]=>[{2,6},{1,4,5},{3}]=>[2,6,1,4,5,3]
[3,3,1,1,3,5]=>[{3,4},{1,2,5},{6}]=>[3,4,1,2,5,6]
[3,3,1,1,5,3]=>[{3,4},{1,2,6},{5}]=>[3,4,1,2,6,5]
[3,3,1,3,1,5]=>[{3,5},{1,2,4},{6}]=>[3,5,1,2,4,6]
[3,3,1,3,5,1]=>[{3,6},{1,2,4},{5}]=>[3,6,1,2,4,5]
[3,3,1,5,1,3]=>[{3,5},{1,2,6},{4}]=>[3,5,1,2,6,4]
[3,3,1,5,3,1]=>[{3,6},{1,2,5},{4}]=>[3,6,1,2,5,4]
[3,3,3,1,1,5]=>[{4,5},{1,2,3},{6}]=>[4,5,1,2,3,6]
[3,3,3,1,5,1]=>[{4,6},{1,2,3},{5}]=>[4,6,1,2,3,5]
[3,3,3,5,1,1]=>[{5,6},{1,2,3},{4}]=>[5,6,1,2,3,4]
[3,3,5,1,1,3]=>[{4,5},{1,2,6},{3}]=>[4,5,1,2,6,3]
[3,3,5,1,3,1]=>[{4,6},{1,2,5},{3}]=>[4,6,1,2,5,3]
[3,3,5,3,1,1]=>[{5,6},{1,2,4},{3}]=>[5,6,1,2,4,3]
[3,5,1,1,3,3]=>[{3,4},{1,5,6},{2}]=>[3,4,1,5,6,2]
[3,5,1,3,1,3]=>[{3,5},{1,4,6},{2}]=>[3,5,1,4,6,2]
[3,5,1,3,3,1]=>[{3,6},{1,4,5},{2}]=>[3,6,1,4,5,2]
[3,5,3,1,1,3]=>[{4,5},{1,3,6},{2}]=>[4,5,1,3,6,2]
[3,5,3,1,3,1]=>[{4,6},{1,3,5},{2}]=>[4,6,1,3,5,2]
[3,5,3,3,1,1]=>[{5,6},{1,3,4},{2}]=>[5,6,1,3,4,2]
[5,1,1,3,3,3]=>[{2,3},{4,5,6},{1}]=>[2,3,4,5,6,1]
[5,1,3,1,3,3]=>[{2,4},{3,5,6},{1}]=>[2,4,3,5,6,1]
[5,1,3,3,1,3]=>[{2,5},{3,4,6},{1}]=>[2,5,3,4,6,1]
[5,1,3,3,3,1]=>[{2,6},{3,4,5},{1}]=>[2,6,3,4,5,1]
[5,3,1,1,3,3]=>[{3,4},{2,5,6},{1}]=>[3,4,2,5,6,1]
[5,3,1,3,1,3]=>[{3,5},{2,4,6},{1}]=>[3,5,2,4,6,1]
[5,3,1,3,3,1]=>[{3,6},{2,4,5},{1}]=>[3,6,2,4,5,1]
[5,3,3,1,1,3]=>[{4,5},{2,3,6},{1}]=>[4,5,2,3,6,1]
[5,3,3,1,3,1]=>[{4,6},{2,3,5},{1}]=>[4,6,2,3,5,1]
[5,3,3,3,1,1]=>[{5,6},{2,3,4},{1}]=>[5,6,2,3,4,1]
[1,1,3,3,3,6]=>[{1,2},{3,4,5},{6}]=>[1,2,3,4,5,6]
[1,1,3,3,6,3]=>[{1,2},{3,4,6},{5}]=>[1,2,3,4,6,5]
[1,1,3,6,3,3]=>[{1,2},{3,5,6},{4}]=>[1,2,3,5,6,4]
[1,1,6,3,3,3]=>[{1,2},{4,5,6},{3}]=>[1,2,4,5,6,3]
[1,3,1,3,3,6]=>[{1,3},{2,4,5},{6}]=>[1,3,2,4,5,6]
[1,3,1,3,6,3]=>[{1,3},{2,4,6},{5}]=>[1,3,2,4,6,5]
[1,3,1,6,3,3]=>[{1,3},{2,5,6},{4}]=>[1,3,2,5,6,4]
[1,3,3,1,3,6]=>[{1,4},{2,3,5},{6}]=>[1,4,2,3,5,6]
[1,3,3,1,6,3]=>[{1,4},{2,3,6},{5}]=>[1,4,2,3,6,5]
[1,3,3,3,1,6]=>[{1,5},{2,3,4},{6}]=>[1,5,2,3,4,6]
[1,3,3,3,6,1]=>[{1,6},{2,3,4},{5}]=>[1,6,2,3,4,5]
[1,3,3,6,1,3]=>[{1,5},{2,3,6},{4}]=>[1,5,2,3,6,4]
[1,3,3,6,3,1]=>[{1,6},{2,3,5},{4}]=>[1,6,2,3,5,4]
[1,3,6,1,3,3]=>[{1,4},{2,5,6},{3}]=>[1,4,2,5,6,3]
[1,3,6,3,1,3]=>[{1,5},{2,4,6},{3}]=>[1,5,2,4,6,3]
[1,3,6,3,3,1]=>[{1,6},{2,4,5},{3}]=>[1,6,2,4,5,3]
[1,6,1,3,3,3]=>[{1,3},{4,5,6},{2}]=>[1,3,4,5,6,2]
[1,6,3,1,3,3]=>[{1,4},{3,5,6},{2}]=>[1,4,3,5,6,2]
[1,6,3,3,1,3]=>[{1,5},{3,4,6},{2}]=>[1,5,3,4,6,2]
[1,6,3,3,3,1]=>[{1,6},{3,4,5},{2}]=>[1,6,3,4,5,2]
[3,1,1,3,3,6]=>[{2,3},{1,4,5},{6}]=>[2,3,1,4,5,6]
[3,1,1,3,6,3]=>[{2,3},{1,4,6},{5}]=>[2,3,1,4,6,5]
[3,1,1,6,3,3]=>[{2,3},{1,5,6},{4}]=>[2,3,1,5,6,4]
[3,1,3,1,3,6]=>[{2,4},{1,3,5},{6}]=>[2,4,1,3,5,6]
[3,1,3,1,6,3]=>[{2,4},{1,3,6},{5}]=>[2,4,1,3,6,5]
[3,1,3,3,1,6]=>[{2,5},{1,3,4},{6}]=>[2,5,1,3,4,6]
[3,1,3,3,6,1]=>[{2,6},{1,3,4},{5}]=>[2,6,1,3,4,5]
[3,1,3,6,1,3]=>[{2,5},{1,3,6},{4}]=>[2,5,1,3,6,4]
[3,1,3,6,3,1]=>[{2,6},{1,3,5},{4}]=>[2,6,1,3,5,4]
[3,1,6,1,3,3]=>[{2,4},{1,5,6},{3}]=>[2,4,1,5,6,3]
[3,1,6,3,1,3]=>[{2,5},{1,4,6},{3}]=>[2,5,1,4,6,3]
[3,1,6,3,3,1]=>[{2,6},{1,4,5},{3}]=>[2,6,1,4,5,3]
[3,3,1,1,3,6]=>[{3,4},{1,2,5},{6}]=>[3,4,1,2,5,6]
[3,3,1,1,6,3]=>[{3,4},{1,2,6},{5}]=>[3,4,1,2,6,5]
[3,3,1,3,1,6]=>[{3,5},{1,2,4},{6}]=>[3,5,1,2,4,6]
[3,3,1,3,6,1]=>[{3,6},{1,2,4},{5}]=>[3,6,1,2,4,5]
[3,3,1,6,1,3]=>[{3,5},{1,2,6},{4}]=>[3,5,1,2,6,4]
[3,3,1,6,3,1]=>[{3,6},{1,2,5},{4}]=>[3,6,1,2,5,4]
[3,3,3,1,1,6]=>[{4,5},{1,2,3},{6}]=>[4,5,1,2,3,6]
[3,3,3,1,6,1]=>[{4,6},{1,2,3},{5}]=>[4,6,1,2,3,5]
[3,3,3,6,1,1]=>[{5,6},{1,2,3},{4}]=>[5,6,1,2,3,4]
[3,3,6,1,1,3]=>[{4,5},{1,2,6},{3}]=>[4,5,1,2,6,3]
[3,3,6,1,3,1]=>[{4,6},{1,2,5},{3}]=>[4,6,1,2,5,3]
[3,3,6,3,1,1]=>[{5,6},{1,2,4},{3}]=>[5,6,1,2,4,3]
[3,6,1,1,3,3]=>[{3,4},{1,5,6},{2}]=>[3,4,1,5,6,2]
[3,6,1,3,1,3]=>[{3,5},{1,4,6},{2}]=>[3,5,1,4,6,2]
[3,6,1,3,3,1]=>[{3,6},{1,4,5},{2}]=>[3,6,1,4,5,2]
[3,6,3,1,1,3]=>[{4,5},{1,3,6},{2}]=>[4,5,1,3,6,2]
[3,6,3,1,3,1]=>[{4,6},{1,3,5},{2}]=>[4,6,1,3,5,2]
[3,6,3,3,1,1]=>[{5,6},{1,3,4},{2}]=>[5,6,1,3,4,2]
[6,1,1,3,3,3]=>[{2,3},{4,5,6},{1}]=>[2,3,4,5,6,1]
[6,1,3,1,3,3]=>[{2,4},{3,5,6},{1}]=>[2,4,3,5,6,1]
[6,1,3,3,1,3]=>[{2,5},{3,4,6},{1}]=>[2,5,3,4,6,1]
[6,1,3,3,3,1]=>[{2,6},{3,4,5},{1}]=>[2,6,3,4,5,1]
[6,3,1,1,3,3]=>[{3,4},{2,5,6},{1}]=>[3,4,2,5,6,1]
[6,3,1,3,1,3]=>[{3,5},{2,4,6},{1}]=>[3,5,2,4,6,1]
[6,3,1,3,3,1]=>[{3,6},{2,4,5},{1}]=>[3,6,2,4,5,1]
[6,3,3,1,1,3]=>[{4,5},{2,3,6},{1}]=>[4,5,2,3,6,1]
[6,3,3,1,3,1]=>[{4,6},{2,3,5},{1}]=>[4,6,2,3,5,1]
[6,3,3,3,1,1]=>[{5,6},{2,3,4},{1}]=>[5,6,2,3,4,1]
[1,1,3,3,4,4]=>[{1,2},{3,4},{5,6}]=>[1,2,3,4,5,6]
[1,1,3,4,3,4]=>[{1,2},{3,5},{4,6}]=>[1,2,3,5,4,6]
[1,1,3,4,4,3]=>[{1,2},{3,6},{4,5}]=>[1,2,3,6,4,5]
[1,1,4,3,3,4]=>[{1,2},{4,5},{3,6}]=>[1,2,4,5,3,6]
[1,1,4,3,4,3]=>[{1,2},{4,6},{3,5}]=>[1,2,4,6,3,5]
[1,1,4,4,3,3]=>[{1,2},{5,6},{3,4}]=>[1,2,5,6,3,4]
[1,3,1,3,4,4]=>[{1,3},{2,4},{5,6}]=>[1,3,2,4,5,6]
[1,3,1,4,3,4]=>[{1,3},{2,5},{4,6}]=>[1,3,2,5,4,6]
[1,3,1,4,4,3]=>[{1,3},{2,6},{4,5}]=>[1,3,2,6,4,5]
[1,3,3,1,4,4]=>[{1,4},{2,3},{5,6}]=>[1,4,2,3,5,6]
[1,3,3,4,1,4]=>[{1,5},{2,3},{4,6}]=>[1,5,2,3,4,6]
[1,3,3,4,4,1]=>[{1,6},{2,3},{4,5}]=>[1,6,2,3,4,5]
[1,3,4,1,3,4]=>[{1,4},{2,5},{3,6}]=>[1,4,2,5,3,6]
[1,3,4,1,4,3]=>[{1,4},{2,6},{3,5}]=>[1,4,2,6,3,5]
[1,3,4,3,1,4]=>[{1,5},{2,4},{3,6}]=>[1,5,2,4,3,6]
[1,3,4,3,4,1]=>[{1,6},{2,4},{3,5}]=>[1,6,2,4,3,5]
[1,3,4,4,1,3]=>[{1,5},{2,6},{3,4}]=>[1,5,2,6,3,4]
[1,3,4,4,3,1]=>[{1,6},{2,5},{3,4}]=>[1,6,2,5,3,4]
[1,4,1,3,3,4]=>[{1,3},{4,5},{2,6}]=>[1,3,4,5,2,6]
[1,4,1,3,4,3]=>[{1,3},{4,6},{2,5}]=>[1,3,4,6,2,5]
[1,4,1,4,3,3]=>[{1,3},{5,6},{2,4}]=>[1,3,5,6,2,4]
[1,4,3,1,3,4]=>[{1,4},{3,5},{2,6}]=>[1,4,3,5,2,6]
[1,4,3,1,4,3]=>[{1,4},{3,6},{2,5}]=>[1,4,3,6,2,5]
[1,4,3,3,1,4]=>[{1,5},{3,4},{2,6}]=>[1,5,3,4,2,6]
[1,4,3,3,4,1]=>[{1,6},{3,4},{2,5}]=>[1,6,3,4,2,5]
[1,4,3,4,1,3]=>[{1,5},{3,6},{2,4}]=>[1,5,3,6,2,4]
[1,4,3,4,3,1]=>[{1,6},{3,5},{2,4}]=>[1,6,3,5,2,4]
[1,4,4,1,3,3]=>[{1,4},{5,6},{2,3}]=>[1,4,5,6,2,3]
[1,4,4,3,1,3]=>[{1,5},{4,6},{2,3}]=>[1,5,4,6,2,3]
[1,4,4,3,3,1]=>[{1,6},{4,5},{2,3}]=>[1,6,4,5,2,3]
[3,1,1,3,4,4]=>[{2,3},{1,4},{5,6}]=>[2,3,1,4,5,6]
[3,1,1,4,3,4]=>[{2,3},{1,5},{4,6}]=>[2,3,1,5,4,6]
[3,1,1,4,4,3]=>[{2,3},{1,6},{4,5}]=>[2,3,1,6,4,5]
[3,1,3,1,4,4]=>[{2,4},{1,3},{5,6}]=>[2,4,1,3,5,6]
[3,1,3,4,1,4]=>[{2,5},{1,3},{4,6}]=>[2,5,1,3,4,6]
[3,1,3,4,4,1]=>[{2,6},{1,3},{4,5}]=>[2,6,1,3,4,5]
[3,1,4,1,3,4]=>[{2,4},{1,5},{3,6}]=>[2,4,1,5,3,6]
[3,1,4,1,4,3]=>[{2,4},{1,6},{3,5}]=>[2,4,1,6,3,5]
[3,1,4,3,1,4]=>[{2,5},{1,4},{3,6}]=>[2,5,1,4,3,6]
[3,1,4,3,4,1]=>[{2,6},{1,4},{3,5}]=>[2,6,1,4,3,5]
[3,1,4,4,1,3]=>[{2,5},{1,6},{3,4}]=>[2,5,1,6,3,4]
[3,1,4,4,3,1]=>[{2,6},{1,5},{3,4}]=>[2,6,1,5,3,4]
[3,3,1,1,4,4]=>[{3,4},{1,2},{5,6}]=>[3,4,1,2,5,6]
[3,3,1,4,1,4]=>[{3,5},{1,2},{4,6}]=>[3,5,1,2,4,6]
[3,3,1,4,4,1]=>[{3,6},{1,2},{4,5}]=>[3,6,1,2,4,5]
[3,3,4,1,1,4]=>[{4,5},{1,2},{3,6}]=>[4,5,1,2,3,6]
[3,3,4,1,4,1]=>[{4,6},{1,2},{3,5}]=>[4,6,1,2,3,5]
[3,3,4,4,1,1]=>[{5,6},{1,2},{3,4}]=>[5,6,1,2,3,4]
[3,4,1,1,3,4]=>[{3,4},{1,5},{2,6}]=>[3,4,1,5,2,6]
[3,4,1,1,4,3]=>[{3,4},{1,6},{2,5}]=>[3,4,1,6,2,5]
[3,4,1,3,1,4]=>[{3,5},{1,4},{2,6}]=>[3,5,1,4,2,6]
[3,4,1,3,4,1]=>[{3,6},{1,4},{2,5}]=>[3,6,1,4,2,5]
[3,4,1,4,1,3]=>[{3,5},{1,6},{2,4}]=>[3,5,1,6,2,4]
[3,4,1,4,3,1]=>[{3,6},{1,5},{2,4}]=>[3,6,1,5,2,4]
[3,4,3,1,1,4]=>[{4,5},{1,3},{2,6}]=>[4,5,1,3,2,6]
[3,4,3,1,4,1]=>[{4,6},{1,3},{2,5}]=>[4,6,1,3,2,5]
[3,4,3,4,1,1]=>[{5,6},{1,3},{2,4}]=>[5,6,1,3,2,4]
[3,4,4,1,1,3]=>[{4,5},{1,6},{2,3}]=>[4,5,1,6,2,3]
[3,4,4,1,3,1]=>[{4,6},{1,5},{2,3}]=>[4,6,1,5,2,3]
[3,4,4,3,1,1]=>[{5,6},{1,4},{2,3}]=>[5,6,1,4,2,3]
[4,1,1,3,3,4]=>[{2,3},{4,5},{1,6}]=>[2,3,4,5,1,6]
[4,1,1,3,4,3]=>[{2,3},{4,6},{1,5}]=>[2,3,4,6,1,5]
[4,1,1,4,3,3]=>[{2,3},{5,6},{1,4}]=>[2,3,5,6,1,4]
[4,1,3,1,3,4]=>[{2,4},{3,5},{1,6}]=>[2,4,3,5,1,6]
[4,1,3,1,4,3]=>[{2,4},{3,6},{1,5}]=>[2,4,3,6,1,5]
[4,1,3,3,1,4]=>[{2,5},{3,4},{1,6}]=>[2,5,3,4,1,6]
[4,1,3,3,4,1]=>[{2,6},{3,4},{1,5}]=>[2,6,3,4,1,5]
[4,1,3,4,1,3]=>[{2,5},{3,6},{1,4}]=>[2,5,3,6,1,4]
[4,1,3,4,3,1]=>[{2,6},{3,5},{1,4}]=>[2,6,3,5,1,4]
[4,1,4,1,3,3]=>[{2,4},{5,6},{1,3}]=>[2,4,5,6,1,3]
[4,1,4,3,1,3]=>[{2,5},{4,6},{1,3}]=>[2,5,4,6,1,3]
[4,1,4,3,3,1]=>[{2,6},{4,5},{1,3}]=>[2,6,4,5,1,3]
[4,3,1,1,3,4]=>[{3,4},{2,5},{1,6}]=>[3,4,2,5,1,6]
[4,3,1,1,4,3]=>[{3,4},{2,6},{1,5}]=>[3,4,2,6,1,5]
[4,3,1,3,1,4]=>[{3,5},{2,4},{1,6}]=>[3,5,2,4,1,6]
[4,3,1,3,4,1]=>[{3,6},{2,4},{1,5}]=>[3,6,2,4,1,5]
[4,3,1,4,1,3]=>[{3,5},{2,6},{1,4}]=>[3,5,2,6,1,4]
[4,3,1,4,3,1]=>[{3,6},{2,5},{1,4}]=>[3,6,2,5,1,4]
[4,3,3,1,1,4]=>[{4,5},{2,3},{1,6}]=>[4,5,2,3,1,6]
[4,3,3,1,4,1]=>[{4,6},{2,3},{1,5}]=>[4,6,2,3,1,5]
[4,3,3,4,1,1]=>[{5,6},{2,3},{1,4}]=>[5,6,2,3,1,4]
[4,3,4,1,1,3]=>[{4,5},{2,6},{1,3}]=>[4,5,2,6,1,3]
[4,3,4,1,3,1]=>[{4,6},{2,5},{1,3}]=>[4,6,2,5,1,3]
[4,3,4,3,1,1]=>[{5,6},{2,4},{1,3}]=>[5,6,2,4,1,3]
[4,4,1,1,3,3]=>[{3,4},{5,6},{1,2}]=>[3,4,5,6,1,2]
[4,4,1,3,1,3]=>[{3,5},{4,6},{1,2}]=>[3,5,4,6,1,2]
[4,4,1,3,3,1]=>[{3,6},{4,5},{1,2}]=>[3,6,4,5,1,2]
[4,4,3,1,1,3]=>[{4,5},{3,6},{1,2}]=>[4,5,3,6,1,2]
[4,4,3,1,3,1]=>[{4,6},{3,5},{1,2}]=>[4,6,3,5,1,2]
[4,4,3,3,1,1]=>[{5,6},{3,4},{1,2}]=>[5,6,3,4,1,2]
[1,1,3,3,4,5]=>[{1,2},{3,4},{5},{6}]=>[1,2,3,4,5,6]
[1,1,3,3,5,4]=>[{1,2},{3,4},{6},{5}]=>[1,2,3,4,6,5]
[1,1,3,4,3,5]=>[{1,2},{3,5},{4},{6}]=>[1,2,3,5,4,6]
[1,1,3,4,5,3]=>[{1,2},{3,6},{4},{5}]=>[1,2,3,6,4,5]
[1,1,3,5,3,4]=>[{1,2},{3,5},{6},{4}]=>[1,2,3,5,6,4]
[1,1,3,5,4,3]=>[{1,2},{3,6},{5},{4}]=>[1,2,3,6,5,4]
[1,1,4,3,3,5]=>[{1,2},{4,5},{3},{6}]=>[1,2,4,5,3,6]
[1,1,4,3,5,3]=>[{1,2},{4,6},{3},{5}]=>[1,2,4,6,3,5]
[1,1,4,5,3,3]=>[{1,2},{5,6},{3},{4}]=>[1,2,5,6,3,4]
[1,1,5,3,3,4]=>[{1,2},{4,5},{6},{3}]=>[1,2,4,5,6,3]
[1,1,5,3,4,3]=>[{1,2},{4,6},{5},{3}]=>[1,2,4,6,5,3]
[1,1,5,4,3,3]=>[{1,2},{5,6},{4},{3}]=>[1,2,5,6,4,3]
[1,3,1,3,4,5]=>[{1,3},{2,4},{5},{6}]=>[1,3,2,4,5,6]
[1,3,1,3,5,4]=>[{1,3},{2,4},{6},{5}]=>[1,3,2,4,6,5]
[1,3,1,4,3,5]=>[{1,3},{2,5},{4},{6}]=>[1,3,2,5,4,6]
[1,3,1,4,5,3]=>[{1,3},{2,6},{4},{5}]=>[1,3,2,6,4,5]
[1,3,1,5,3,4]=>[{1,3},{2,5},{6},{4}]=>[1,3,2,5,6,4]
[1,3,1,5,4,3]=>[{1,3},{2,6},{5},{4}]=>[1,3,2,6,5,4]
[1,3,3,1,4,5]=>[{1,4},{2,3},{5},{6}]=>[1,4,2,3,5,6]
[1,3,3,1,5,4]=>[{1,4},{2,3},{6},{5}]=>[1,4,2,3,6,5]
[1,3,3,4,1,5]=>[{1,5},{2,3},{4},{6}]=>[1,5,2,3,4,6]
[1,3,3,4,5,1]=>[{1,6},{2,3},{4},{5}]=>[1,6,2,3,4,5]
[1,3,3,5,1,4]=>[{1,5},{2,3},{6},{4}]=>[1,5,2,3,6,4]
[1,3,3,5,4,1]=>[{1,6},{2,3},{5},{4}]=>[1,6,2,3,5,4]
[1,3,4,1,3,5]=>[{1,4},{2,5},{3},{6}]=>[1,4,2,5,3,6]
[1,3,4,1,5,3]=>[{1,4},{2,6},{3},{5}]=>[1,4,2,6,3,5]
[1,3,4,3,1,5]=>[{1,5},{2,4},{3},{6}]=>[1,5,2,4,3,6]
[1,3,4,3,5,1]=>[{1,6},{2,4},{3},{5}]=>[1,6,2,4,3,5]
[1,3,4,5,1,3]=>[{1,5},{2,6},{3},{4}]=>[1,5,2,6,3,4]
[1,3,4,5,3,1]=>[{1,6},{2,5},{3},{4}]=>[1,6,2,5,3,4]
[1,3,5,1,3,4]=>[{1,4},{2,5},{6},{3}]=>[1,4,2,5,6,3]
[1,3,5,1,4,3]=>[{1,4},{2,6},{5},{3}]=>[1,4,2,6,5,3]
[1,3,5,3,1,4]=>[{1,5},{2,4},{6},{3}]=>[1,5,2,4,6,3]
[1,3,5,3,4,1]=>[{1,6},{2,4},{5},{3}]=>[1,6,2,4,5,3]
[1,3,5,4,1,3]=>[{1,5},{2,6},{4},{3}]=>[1,5,2,6,4,3]
[1,3,5,4,3,1]=>[{1,6},{2,5},{4},{3}]=>[1,6,2,5,4,3]
[1,4,1,3,3,5]=>[{1,3},{4,5},{2},{6}]=>[1,3,4,5,2,6]
[1,4,1,3,5,3]=>[{1,3},{4,6},{2},{5}]=>[1,3,4,6,2,5]
[1,4,1,5,3,3]=>[{1,3},{5,6},{2},{4}]=>[1,3,5,6,2,4]
[1,4,3,1,3,5]=>[{1,4},{3,5},{2},{6}]=>[1,4,3,5,2,6]
[1,4,3,1,5,3]=>[{1,4},{3,6},{2},{5}]=>[1,4,3,6,2,5]
[1,4,3,3,1,5]=>[{1,5},{3,4},{2},{6}]=>[1,5,3,4,2,6]
[1,4,3,3,5,1]=>[{1,6},{3,4},{2},{5}]=>[1,6,3,4,2,5]
[1,4,3,5,1,3]=>[{1,5},{3,6},{2},{4}]=>[1,5,3,6,2,4]
[1,4,3,5,3,1]=>[{1,6},{3,5},{2},{4}]=>[1,6,3,5,2,4]
[1,4,5,1,3,3]=>[{1,4},{5,6},{2},{3}]=>[1,4,5,6,2,3]
[1,4,5,3,1,3]=>[{1,5},{4,6},{2},{3}]=>[1,5,4,6,2,3]
[1,4,5,3,3,1]=>[{1,6},{4,5},{2},{3}]=>[1,6,4,5,2,3]
[1,5,1,3,3,4]=>[{1,3},{4,5},{6},{2}]=>[1,3,4,5,6,2]
[1,5,1,3,4,3]=>[{1,3},{4,6},{5},{2}]=>[1,3,4,6,5,2]
[1,5,1,4,3,3]=>[{1,3},{5,6},{4},{2}]=>[1,3,5,6,4,2]
[1,5,3,1,3,4]=>[{1,4},{3,5},{6},{2}]=>[1,4,3,5,6,2]
[1,5,3,1,4,3]=>[{1,4},{3,6},{5},{2}]=>[1,4,3,6,5,2]
[1,5,3,3,1,4]=>[{1,5},{3,4},{6},{2}]=>[1,5,3,4,6,2]
[1,5,3,3,4,1]=>[{1,6},{3,4},{5},{2}]=>[1,6,3,4,5,2]
[1,5,3,4,1,3]=>[{1,5},{3,6},{4},{2}]=>[1,5,3,6,4,2]
[1,5,3,4,3,1]=>[{1,6},{3,5},{4},{2}]=>[1,6,3,5,4,2]
[1,5,4,1,3,3]=>[{1,4},{5,6},{3},{2}]=>[1,4,5,6,3,2]
[1,5,4,3,1,3]=>[{1,5},{4,6},{3},{2}]=>[1,5,4,6,3,2]
[1,5,4,3,3,1]=>[{1,6},{4,5},{3},{2}]=>[1,6,4,5,3,2]
[3,1,1,3,4,5]=>[{2,3},{1,4},{5},{6}]=>[2,3,1,4,5,6]
[3,1,1,3,5,4]=>[{2,3},{1,4},{6},{5}]=>[2,3,1,4,6,5]
[3,1,1,4,3,5]=>[{2,3},{1,5},{4},{6}]=>[2,3,1,5,4,6]
[3,1,1,4,5,3]=>[{2,3},{1,6},{4},{5}]=>[2,3,1,6,4,5]
[3,1,1,5,3,4]=>[{2,3},{1,5},{6},{4}]=>[2,3,1,5,6,4]
[3,1,1,5,4,3]=>[{2,3},{1,6},{5},{4}]=>[2,3,1,6,5,4]
[3,1,3,1,4,5]=>[{2,4},{1,3},{5},{6}]=>[2,4,1,3,5,6]
[3,1,3,1,5,4]=>[{2,4},{1,3},{6},{5}]=>[2,4,1,3,6,5]
[3,1,3,4,1,5]=>[{2,5},{1,3},{4},{6}]=>[2,5,1,3,4,6]
[3,1,3,4,5,1]=>[{2,6},{1,3},{4},{5}]=>[2,6,1,3,4,5]
[3,1,3,5,1,4]=>[{2,5},{1,3},{6},{4}]=>[2,5,1,3,6,4]
[3,1,3,5,4,1]=>[{2,6},{1,3},{5},{4}]=>[2,6,1,3,5,4]
[3,1,4,1,3,5]=>[{2,4},{1,5},{3},{6}]=>[2,4,1,5,3,6]
[3,1,4,1,5,3]=>[{2,4},{1,6},{3},{5}]=>[2,4,1,6,3,5]
[3,1,4,3,1,5]=>[{2,5},{1,4},{3},{6}]=>[2,5,1,4,3,6]
[3,1,4,3,5,1]=>[{2,6},{1,4},{3},{5}]=>[2,6,1,4,3,5]
[3,1,4,5,1,3]=>[{2,5},{1,6},{3},{4}]=>[2,5,1,6,3,4]
[3,1,4,5,3,1]=>[{2,6},{1,5},{3},{4}]=>[2,6,1,5,3,4]
[3,1,5,1,3,4]=>[{2,4},{1,5},{6},{3}]=>[2,4,1,5,6,3]
[3,1,5,1,4,3]=>[{2,4},{1,6},{5},{3}]=>[2,4,1,6,5,3]
[3,1,5,3,1,4]=>[{2,5},{1,4},{6},{3}]=>[2,5,1,4,6,3]
[3,1,5,3,4,1]=>[{2,6},{1,4},{5},{3}]=>[2,6,1,4,5,3]
[3,1,5,4,1,3]=>[{2,5},{1,6},{4},{3}]=>[2,5,1,6,4,3]
[3,1,5,4,3,1]=>[{2,6},{1,5},{4},{3}]=>[2,6,1,5,4,3]
[3,3,1,1,4,5]=>[{3,4},{1,2},{5},{6}]=>[3,4,1,2,5,6]
[3,3,1,1,5,4]=>[{3,4},{1,2},{6},{5}]=>[3,4,1,2,6,5]
[3,3,1,4,1,5]=>[{3,5},{1,2},{4},{6}]=>[3,5,1,2,4,6]
[3,3,1,4,5,1]=>[{3,6},{1,2},{4},{5}]=>[3,6,1,2,4,5]
[3,3,1,5,1,4]=>[{3,5},{1,2},{6},{4}]=>[3,5,1,2,6,4]
[3,3,1,5,4,1]=>[{3,6},{1,2},{5},{4}]=>[3,6,1,2,5,4]
[3,3,4,1,1,5]=>[{4,5},{1,2},{3},{6}]=>[4,5,1,2,3,6]
[3,3,4,1,5,1]=>[{4,6},{1,2},{3},{5}]=>[4,6,1,2,3,5]
[3,3,4,5,1,1]=>[{5,6},{1,2},{3},{4}]=>[5,6,1,2,3,4]
[3,3,5,1,1,4]=>[{4,5},{1,2},{6},{3}]=>[4,5,1,2,6,3]
[3,3,5,1,4,1]=>[{4,6},{1,2},{5},{3}]=>[4,6,1,2,5,3]
[3,3,5,4,1,1]=>[{5,6},{1,2},{4},{3}]=>[5,6,1,2,4,3]
[3,4,1,1,3,5]=>[{3,4},{1,5},{2},{6}]=>[3,4,1,5,2,6]
[3,4,1,1,5,3]=>[{3,4},{1,6},{2},{5}]=>[3,4,1,6,2,5]
[3,4,1,3,1,5]=>[{3,5},{1,4},{2},{6}]=>[3,5,1,4,2,6]
[3,4,1,3,5,1]=>[{3,6},{1,4},{2},{5}]=>[3,6,1,4,2,5]
[3,4,1,5,1,3]=>[{3,5},{1,6},{2},{4}]=>[3,5,1,6,2,4]
[3,4,1,5,3,1]=>[{3,6},{1,5},{2},{4}]=>[3,6,1,5,2,4]
[3,4,3,1,1,5]=>[{4,5},{1,3},{2},{6}]=>[4,5,1,3,2,6]
[3,4,3,1,5,1]=>[{4,6},{1,3},{2},{5}]=>[4,6,1,3,2,5]
[3,4,3,5,1,1]=>[{5,6},{1,3},{2},{4}]=>[5,6,1,3,2,4]
[3,4,5,1,1,3]=>[{4,5},{1,6},{2},{3}]=>[4,5,1,6,2,3]
[3,4,5,1,3,1]=>[{4,6},{1,5},{2},{3}]=>[4,6,1,5,2,3]
[3,4,5,3,1,1]=>[{5,6},{1,4},{2},{3}]=>[5,6,1,4,2,3]
[3,5,1,1,3,4]=>[{3,4},{1,5},{6},{2}]=>[3,4,1,5,6,2]
[3,5,1,1,4,3]=>[{3,4},{1,6},{5},{2}]=>[3,4,1,6,5,2]
[3,5,1,3,1,4]=>[{3,5},{1,4},{6},{2}]=>[3,5,1,4,6,2]
[3,5,1,3,4,1]=>[{3,6},{1,4},{5},{2}]=>[3,6,1,4,5,2]
[3,5,1,4,1,3]=>[{3,5},{1,6},{4},{2}]=>[3,5,1,6,4,2]
[3,5,1,4,3,1]=>[{3,6},{1,5},{4},{2}]=>[3,6,1,5,4,2]
[3,5,3,1,1,4]=>[{4,5},{1,3},{6},{2}]=>[4,5,1,3,6,2]
[3,5,3,1,4,1]=>[{4,6},{1,3},{5},{2}]=>[4,6,1,3,5,2]
[3,5,3,4,1,1]=>[{5,6},{1,3},{4},{2}]=>[5,6,1,3,4,2]
[3,5,4,1,1,3]=>[{4,5},{1,6},{3},{2}]=>[4,5,1,6,3,2]
[3,5,4,1,3,1]=>[{4,6},{1,5},{3},{2}]=>[4,6,1,5,3,2]
[3,5,4,3,1,1]=>[{5,6},{1,4},{3},{2}]=>[5,6,1,4,3,2]
[4,1,1,3,3,5]=>[{2,3},{4,5},{1},{6}]=>[2,3,4,5,1,6]
[4,1,1,3,5,3]=>[{2,3},{4,6},{1},{5}]=>[2,3,4,6,1,5]
[4,1,1,5,3,3]=>[{2,3},{5,6},{1},{4}]=>[2,3,5,6,1,4]
[4,1,3,1,3,5]=>[{2,4},{3,5},{1},{6}]=>[2,4,3,5,1,6]
[4,1,3,1,5,3]=>[{2,4},{3,6},{1},{5}]=>[2,4,3,6,1,5]
[4,1,3,3,1,5]=>[{2,5},{3,4},{1},{6}]=>[2,5,3,4,1,6]
[4,1,3,3,5,1]=>[{2,6},{3,4},{1},{5}]=>[2,6,3,4,1,5]
[4,1,3,5,1,3]=>[{2,5},{3,6},{1},{4}]=>[2,5,3,6,1,4]
[4,1,3,5,3,1]=>[{2,6},{3,5},{1},{4}]=>[2,6,3,5,1,4]
[4,1,5,1,3,3]=>[{2,4},{5,6},{1},{3}]=>[2,4,5,6,1,3]
[4,1,5,3,1,3]=>[{2,5},{4,6},{1},{3}]=>[2,5,4,6,1,3]
[4,1,5,3,3,1]=>[{2,6},{4,5},{1},{3}]=>[2,6,4,5,1,3]
[4,3,1,1,3,5]=>[{3,4},{2,5},{1},{6}]=>[3,4,2,5,1,6]
[4,3,1,1,5,3]=>[{3,4},{2,6},{1},{5}]=>[3,4,2,6,1,5]
[4,3,1,3,1,5]=>[{3,5},{2,4},{1},{6}]=>[3,5,2,4,1,6]
[4,3,1,3,5,1]=>[{3,6},{2,4},{1},{5}]=>[3,6,2,4,1,5]
[4,3,1,5,1,3]=>[{3,5},{2,6},{1},{4}]=>[3,5,2,6,1,4]
[4,3,1,5,3,1]=>[{3,6},{2,5},{1},{4}]=>[3,6,2,5,1,4]
[4,3,3,1,1,5]=>[{4,5},{2,3},{1},{6}]=>[4,5,2,3,1,6]
[4,3,3,1,5,1]=>[{4,6},{2,3},{1},{5}]=>[4,6,2,3,1,5]
[4,3,3,5,1,1]=>[{5,6},{2,3},{1},{4}]=>[5,6,2,3,1,4]
[4,3,5,1,1,3]=>[{4,5},{2,6},{1},{3}]=>[4,5,2,6,1,3]
[4,3,5,1,3,1]=>[{4,6},{2,5},{1},{3}]=>[4,6,2,5,1,3]
[4,3,5,3,1,1]=>[{5,6},{2,4},{1},{3}]=>[5,6,2,4,1,3]
[4,5,1,1,3,3]=>[{3,4},{5,6},{1},{2}]=>[3,4,5,6,1,2]
[4,5,1,3,1,3]=>[{3,5},{4,6},{1},{2}]=>[3,5,4,6,1,2]
[4,5,1,3,3,1]=>[{3,6},{4,5},{1},{2}]=>[3,6,4,5,1,2]
[4,5,3,1,1,3]=>[{4,5},{3,6},{1},{2}]=>[4,5,3,6,1,2]
[4,5,3,1,3,1]=>[{4,6},{3,5},{1},{2}]=>[4,6,3,5,1,2]
[4,5,3,3,1,1]=>[{5,6},{3,4},{1},{2}]=>[5,6,3,4,1,2]
[5,1,1,3,3,4]=>[{2,3},{4,5},{6},{1}]=>[2,3,4,5,6,1]
[5,1,1,3,4,3]=>[{2,3},{4,6},{5},{1}]=>[2,3,4,6,5,1]
[5,1,1,4,3,3]=>[{2,3},{5,6},{4},{1}]=>[2,3,5,6,4,1]
[5,1,3,1,3,4]=>[{2,4},{3,5},{6},{1}]=>[2,4,3,5,6,1]
[5,1,3,1,4,3]=>[{2,4},{3,6},{5},{1}]=>[2,4,3,6,5,1]
[5,1,3,3,1,4]=>[{2,5},{3,4},{6},{1}]=>[2,5,3,4,6,1]
[5,1,3,3,4,1]=>[{2,6},{3,4},{5},{1}]=>[2,6,3,4,5,1]
[5,1,3,4,1,3]=>[{2,5},{3,6},{4},{1}]=>[2,5,3,6,4,1]
[5,1,3,4,3,1]=>[{2,6},{3,5},{4},{1}]=>[2,6,3,5,4,1]
[5,1,4,1,3,3]=>[{2,4},{5,6},{3},{1}]=>[2,4,5,6,3,1]
[5,1,4,3,1,3]=>[{2,5},{4,6},{3},{1}]=>[2,5,4,6,3,1]
[5,1,4,3,3,1]=>[{2,6},{4,5},{3},{1}]=>[2,6,4,5,3,1]
[5,3,1,1,3,4]=>[{3,4},{2,5},{6},{1}]=>[3,4,2,5,6,1]
[5,3,1,1,4,3]=>[{3,4},{2,6},{5},{1}]=>[3,4,2,6,5,1]
[5,3,1,3,1,4]=>[{3,5},{2,4},{6},{1}]=>[3,5,2,4,6,1]
[5,3,1,3,4,1]=>[{3,6},{2,4},{5},{1}]=>[3,6,2,4,5,1]
[5,3,1,4,1,3]=>[{3,5},{2,6},{4},{1}]=>[3,5,2,6,4,1]
[5,3,1,4,3,1]=>[{3,6},{2,5},{4},{1}]=>[3,6,2,5,4,1]
[5,3,3,1,1,4]=>[{4,5},{2,3},{6},{1}]=>[4,5,2,3,6,1]
[5,3,3,1,4,1]=>[{4,6},{2,3},{5},{1}]=>[4,6,2,3,5,1]
[5,3,3,4,1,1]=>[{5,6},{2,3},{4},{1}]=>[5,6,2,3,4,1]
[5,3,4,1,1,3]=>[{4,5},{2,6},{3},{1}]=>[4,5,2,6,3,1]
[5,3,4,1,3,1]=>[{4,6},{2,5},{3},{1}]=>[4,6,2,5,3,1]
[5,3,4,3,1,1]=>[{5,6},{2,4},{3},{1}]=>[5,6,2,4,3,1]
[5,4,1,1,3,3]=>[{3,4},{5,6},{2},{1}]=>[3,4,5,6,2,1]
[5,4,1,3,1,3]=>[{3,5},{4,6},{2},{1}]=>[3,5,4,6,2,1]
[5,4,1,3,3,1]=>[{3,6},{4,5},{2},{1}]=>[3,6,4,5,2,1]
[5,4,3,1,1,3]=>[{4,5},{3,6},{2},{1}]=>[4,5,3,6,2,1]
[5,4,3,1,3,1]=>[{4,6},{3,5},{2},{1}]=>[4,6,3,5,2,1]
[5,4,3,3,1,1]=>[{5,6},{3,4},{2},{1}]=>[5,6,3,4,2,1]
[1,1,3,3,4,6]=>[{1,2},{3,4},{5},{6}]=>[1,2,3,4,5,6]
[1,1,3,3,6,4]=>[{1,2},{3,4},{6},{5}]=>[1,2,3,4,6,5]
[1,1,3,4,3,6]=>[{1,2},{3,5},{4},{6}]=>[1,2,3,5,4,6]
[1,1,3,4,6,3]=>[{1,2},{3,6},{4},{5}]=>[1,2,3,6,4,5]
[1,1,3,6,3,4]=>[{1,2},{3,5},{6},{4}]=>[1,2,3,5,6,4]
[1,1,3,6,4,3]=>[{1,2},{3,6},{5},{4}]=>[1,2,3,6,5,4]
[1,1,4,3,3,6]=>[{1,2},{4,5},{3},{6}]=>[1,2,4,5,3,6]
[1,1,4,3,6,3]=>[{1,2},{4,6},{3},{5}]=>[1,2,4,6,3,5]
[1,1,4,6,3,3]=>[{1,2},{5,6},{3},{4}]=>[1,2,5,6,3,4]
[1,1,6,3,3,4]=>[{1,2},{4,5},{6},{3}]=>[1,2,4,5,6,3]
[1,1,6,3,4,3]=>[{1,2},{4,6},{5},{3}]=>[1,2,4,6,5,3]
[1,1,6,4,3,3]=>[{1,2},{5,6},{4},{3}]=>[1,2,5,6,4,3]
[1,3,1,3,4,6]=>[{1,3},{2,4},{5},{6}]=>[1,3,2,4,5,6]
[1,3,1,3,6,4]=>[{1,3},{2,4},{6},{5}]=>[1,3,2,4,6,5]
[1,3,1,4,3,6]=>[{1,3},{2,5},{4},{6}]=>[1,3,2,5,4,6]
[1,3,1,4,6,3]=>[{1,3},{2,6},{4},{5}]=>[1,3,2,6,4,5]
[1,3,1,6,3,4]=>[{1,3},{2,5},{6},{4}]=>[1,3,2,5,6,4]
[1,3,1,6,4,3]=>[{1,3},{2,6},{5},{4}]=>[1,3,2,6,5,4]
[1,3,3,1,4,6]=>[{1,4},{2,3},{5},{6}]=>[1,4,2,3,5,6]
[1,3,3,1,6,4]=>[{1,4},{2,3},{6},{5}]=>[1,4,2,3,6,5]
[1,3,3,4,1,6]=>[{1,5},{2,3},{4},{6}]=>[1,5,2,3,4,6]
[1,3,3,4,6,1]=>[{1,6},{2,3},{4},{5}]=>[1,6,2,3,4,5]
[1,3,3,6,1,4]=>[{1,5},{2,3},{6},{4}]=>[1,5,2,3,6,4]
[1,3,3,6,4,1]=>[{1,6},{2,3},{5},{4}]=>[1,6,2,3,5,4]
[1,3,4,1,3,6]=>[{1,4},{2,5},{3},{6}]=>[1,4,2,5,3,6]
[1,3,4,1,6,3]=>[{1,4},{2,6},{3},{5}]=>[1,4,2,6,3,5]
[1,3,4,3,1,6]=>[{1,5},{2,4},{3},{6}]=>[1,5,2,4,3,6]
[1,3,4,3,6,1]=>[{1,6},{2,4},{3},{5}]=>[1,6,2,4,3,5]
[1,3,4,6,1,3]=>[{1,5},{2,6},{3},{4}]=>[1,5,2,6,3,4]
[1,3,4,6,3,1]=>[{1,6},{2,5},{3},{4}]=>[1,6,2,5,3,4]
[1,3,6,1,3,4]=>[{1,4},{2,5},{6},{3}]=>[1,4,2,5,6,3]
[1,3,6,1,4,3]=>[{1,4},{2,6},{5},{3}]=>[1,4,2,6,5,3]
[1,3,6,3,1,4]=>[{1,5},{2,4},{6},{3}]=>[1,5,2,4,6,3]
[1,3,6,3,4,1]=>[{1,6},{2,4},{5},{3}]=>[1,6,2,4,5,3]
[1,3,6,4,1,3]=>[{1,5},{2,6},{4},{3}]=>[1,5,2,6,4,3]
[1,3,6,4,3,1]=>[{1,6},{2,5},{4},{3}]=>[1,6,2,5,4,3]
[1,4,1,3,3,6]=>[{1,3},{4,5},{2},{6}]=>[1,3,4,5,2,6]
[1,4,1,3,6,3]=>[{1,3},{4,6},{2},{5}]=>[1,3,4,6,2,5]
[1,4,1,6,3,3]=>[{1,3},{5,6},{2},{4}]=>[1,3,5,6,2,4]
[1,4,3,1,3,6]=>[{1,4},{3,5},{2},{6}]=>[1,4,3,5,2,6]
[1,4,3,1,6,3]=>[{1,4},{3,6},{2},{5}]=>[1,4,3,6,2,5]
[1,4,3,3,1,6]=>[{1,5},{3,4},{2},{6}]=>[1,5,3,4,2,6]
[1,4,3,3,6,1]=>[{1,6},{3,4},{2},{5}]=>[1,6,3,4,2,5]
[1,4,3,6,1,3]=>[{1,5},{3,6},{2},{4}]=>[1,5,3,6,2,4]
[1,4,3,6,3,1]=>[{1,6},{3,5},{2},{4}]=>[1,6,3,5,2,4]
[1,4,6,1,3,3]=>[{1,4},{5,6},{2},{3}]=>[1,4,5,6,2,3]
[1,4,6,3,1,3]=>[{1,5},{4,6},{2},{3}]=>[1,5,4,6,2,3]
[1,4,6,3,3,1]=>[{1,6},{4,5},{2},{3}]=>[1,6,4,5,2,3]
[1,6,1,3,3,4]=>[{1,3},{4,5},{6},{2}]=>[1,3,4,5,6,2]
[1,6,1,3,4,3]=>[{1,3},{4,6},{5},{2}]=>[1,3,4,6,5,2]
[1,6,1,4,3,3]=>[{1,3},{5,6},{4},{2}]=>[1,3,5,6,4,2]
[1,6,3,1,3,4]=>[{1,4},{3,5},{6},{2}]=>[1,4,3,5,6,2]
[1,6,3,1,4,3]=>[{1,4},{3,6},{5},{2}]=>[1,4,3,6,5,2]
[1,6,3,3,1,4]=>[{1,5},{3,4},{6},{2}]=>[1,5,3,4,6,2]
[1,6,3,3,4,1]=>[{1,6},{3,4},{5},{2}]=>[1,6,3,4,5,2]
[1,6,3,4,1,3]=>[{1,5},{3,6},{4},{2}]=>[1,5,3,6,4,2]
[1,6,3,4,3,1]=>[{1,6},{3,5},{4},{2}]=>[1,6,3,5,4,2]
[1,6,4,1,3,3]=>[{1,4},{5,6},{3},{2}]=>[1,4,5,6,3,2]
[1,6,4,3,1,3]=>[{1,5},{4,6},{3},{2}]=>[1,5,4,6,3,2]
[1,6,4,3,3,1]=>[{1,6},{4,5},{3},{2}]=>[1,6,4,5,3,2]
[3,1,1,3,4,6]=>[{2,3},{1,4},{5},{6}]=>[2,3,1,4,5,6]
[3,1,1,3,6,4]=>[{2,3},{1,4},{6},{5}]=>[2,3,1,4,6,5]
[3,1,1,4,3,6]=>[{2,3},{1,5},{4},{6}]=>[2,3,1,5,4,6]
[3,1,1,4,6,3]=>[{2,3},{1,6},{4},{5}]=>[2,3,1,6,4,5]
[3,1,1,6,3,4]=>[{2,3},{1,5},{6},{4}]=>[2,3,1,5,6,4]
[3,1,1,6,4,3]=>[{2,3},{1,6},{5},{4}]=>[2,3,1,6,5,4]
[3,1,3,1,4,6]=>[{2,4},{1,3},{5},{6}]=>[2,4,1,3,5,6]
[3,1,3,1,6,4]=>[{2,4},{1,3},{6},{5}]=>[2,4,1,3,6,5]
[3,1,3,4,1,6]=>[{2,5},{1,3},{4},{6}]=>[2,5,1,3,4,6]
[3,1,3,4,6,1]=>[{2,6},{1,3},{4},{5}]=>[2,6,1,3,4,5]
[3,1,3,6,1,4]=>[{2,5},{1,3},{6},{4}]=>[2,5,1,3,6,4]
[3,1,3,6,4,1]=>[{2,6},{1,3},{5},{4}]=>[2,6,1,3,5,4]
[3,1,4,1,3,6]=>[{2,4},{1,5},{3},{6}]=>[2,4,1,5,3,6]
[3,1,4,1,6,3]=>[{2,4},{1,6},{3},{5}]=>[2,4,1,6,3,5]
[3,1,4,3,1,6]=>[{2,5},{1,4},{3},{6}]=>[2,5,1,4,3,6]
[3,1,4,3,6,1]=>[{2,6},{1,4},{3},{5}]=>[2,6,1,4,3,5]
[3,1,4,6,1,3]=>[{2,5},{1,6},{3},{4}]=>[2,5,1,6,3,4]
[3,1,4,6,3,1]=>[{2,6},{1,5},{3},{4}]=>[2,6,1,5,3,4]
[3,1,6,1,3,4]=>[{2,4},{1,5},{6},{3}]=>[2,4,1,5,6,3]
[3,1,6,1,4,3]=>[{2,4},{1,6},{5},{3}]=>[2,4,1,6,5,3]
[3,1,6,3,1,4]=>[{2,5},{1,4},{6},{3}]=>[2,5,1,4,6,3]
[3,1,6,3,4,1]=>[{2,6},{1,4},{5},{3}]=>[2,6,1,4,5,3]
[3,1,6,4,1,3]=>[{2,5},{1,6},{4},{3}]=>[2,5,1,6,4,3]
[3,1,6,4,3,1]=>[{2,6},{1,5},{4},{3}]=>[2,6,1,5,4,3]
[3,3,1,1,4,6]=>[{3,4},{1,2},{5},{6}]=>[3,4,1,2,5,6]
[3,3,1,1,6,4]=>[{3,4},{1,2},{6},{5}]=>[3,4,1,2,6,5]
[3,3,1,4,1,6]=>[{3,5},{1,2},{4},{6}]=>[3,5,1,2,4,6]
[3,3,1,4,6,1]=>[{3,6},{1,2},{4},{5}]=>[3,6,1,2,4,5]
[3,3,1,6,1,4]=>[{3,5},{1,2},{6},{4}]=>[3,5,1,2,6,4]
[3,3,1,6,4,1]=>[{3,6},{1,2},{5},{4}]=>[3,6,1,2,5,4]
[3,3,4,1,1,6]=>[{4,5},{1,2},{3},{6}]=>[4,5,1,2,3,6]
[3,3,4,1,6,1]=>[{4,6},{1,2},{3},{5}]=>[4,6,1,2,3,5]
[3,3,4,6,1,1]=>[{5,6},{1,2},{3},{4}]=>[5,6,1,2,3,4]
[3,3,6,1,1,4]=>[{4,5},{1,2},{6},{3}]=>[4,5,1,2,6,3]
[3,3,6,1,4,1]=>[{4,6},{1,2},{5},{3}]=>[4,6,1,2,5,3]
[3,3,6,4,1,1]=>[{5,6},{1,2},{4},{3}]=>[5,6,1,2,4,3]
[3,4,1,1,3,6]=>[{3,4},{1,5},{2},{6}]=>[3,4,1,5,2,6]
[3,4,1,1,6,3]=>[{3,4},{1,6},{2},{5}]=>[3,4,1,6,2,5]
[3,4,1,3,1,6]=>[{3,5},{1,4},{2},{6}]=>[3,5,1,4,2,6]
[3,4,1,3,6,1]=>[{3,6},{1,4},{2},{5}]=>[3,6,1,4,2,5]
[3,4,1,6,1,3]=>[{3,5},{1,6},{2},{4}]=>[3,5,1,6,2,4]
[3,4,1,6,3,1]=>[{3,6},{1,5},{2},{4}]=>[3,6,1,5,2,4]
[3,4,3,1,1,6]=>[{4,5},{1,3},{2},{6}]=>[4,5,1,3,2,6]
[3,4,3,1,6,1]=>[{4,6},{1,3},{2},{5}]=>[4,6,1,3,2,5]
[3,4,3,6,1,1]=>[{5,6},{1,3},{2},{4}]=>[5,6,1,3,2,4]
[3,4,6,1,1,3]=>[{4,5},{1,6},{2},{3}]=>[4,5,1,6,2,3]
[3,4,6,1,3,1]=>[{4,6},{1,5},{2},{3}]=>[4,6,1,5,2,3]
[3,4,6,3,1,1]=>[{5,6},{1,4},{2},{3}]=>[5,6,1,4,2,3]
[3,6,1,1,3,4]=>[{3,4},{1,5},{6},{2}]=>[3,4,1,5,6,2]
[3,6,1,1,4,3]=>[{3,4},{1,6},{5},{2}]=>[3,4,1,6,5,2]
[3,6,1,3,1,4]=>[{3,5},{1,4},{6},{2}]=>[3,5,1,4,6,2]
[3,6,1,3,4,1]=>[{3,6},{1,4},{5},{2}]=>[3,6,1,4,5,2]
[3,6,1,4,1,3]=>[{3,5},{1,6},{4},{2}]=>[3,5,1,6,4,2]
[3,6,1,4,3,1]=>[{3,6},{1,5},{4},{2}]=>[3,6,1,5,4,2]
[3,6,3,1,1,4]=>[{4,5},{1,3},{6},{2}]=>[4,5,1,3,6,2]
[3,6,3,1,4,1]=>[{4,6},{1,3},{5},{2}]=>[4,6,1,3,5,2]
[3,6,3,4,1,1]=>[{5,6},{1,3},{4},{2}]=>[5,6,1,3,4,2]
[3,6,4,1,1,3]=>[{4,5},{1,6},{3},{2}]=>[4,5,1,6,3,2]
[3,6,4,1,3,1]=>[{4,6},{1,5},{3},{2}]=>[4,6,1,5,3,2]
[3,6,4,3,1,1]=>[{5,6},{1,4},{3},{2}]=>[5,6,1,4,3,2]
[4,1,1,3,3,6]=>[{2,3},{4,5},{1},{6}]=>[2,3,4,5,1,6]
[4,1,1,3,6,3]=>[{2,3},{4,6},{1},{5}]=>[2,3,4,6,1,5]
[4,1,1,6,3,3]=>[{2,3},{5,6},{1},{4}]=>[2,3,5,6,1,4]
[4,1,3,1,3,6]=>[{2,4},{3,5},{1},{6}]=>[2,4,3,5,1,6]
[4,1,3,1,6,3]=>[{2,4},{3,6},{1},{5}]=>[2,4,3,6,1,5]
[4,1,3,3,1,6]=>[{2,5},{3,4},{1},{6}]=>[2,5,3,4,1,6]
[4,1,3,3,6,1]=>[{2,6},{3,4},{1},{5}]=>[2,6,3,4,1,5]
[4,1,3,6,1,3]=>[{2,5},{3,6},{1},{4}]=>[2,5,3,6,1,4]
[4,1,3,6,3,1]=>[{2,6},{3,5},{1},{4}]=>[2,6,3,5,1,4]
[4,1,6,1,3,3]=>[{2,4},{5,6},{1},{3}]=>[2,4,5,6,1,3]
[4,1,6,3,1,3]=>[{2,5},{4,6},{1},{3}]=>[2,5,4,6,1,3]
[4,1,6,3,3,1]=>[{2,6},{4,5},{1},{3}]=>[2,6,4,5,1,3]
[4,3,1,1,3,6]=>[{3,4},{2,5},{1},{6}]=>[3,4,2,5,1,6]
[4,3,1,1,6,3]=>[{3,4},{2,6},{1},{5}]=>[3,4,2,6,1,5]
[4,3,1,3,1,6]=>[{3,5},{2,4},{1},{6}]=>[3,5,2,4,1,6]
[4,3,1,3,6,1]=>[{3,6},{2,4},{1},{5}]=>[3,6,2,4,1,5]
[4,3,1,6,1,3]=>[{3,5},{2,6},{1},{4}]=>[3,5,2,6,1,4]
[4,3,1,6,3,1]=>[{3,6},{2,5},{1},{4}]=>[3,6,2,5,1,4]
[4,3,3,1,1,6]=>[{4,5},{2,3},{1},{6}]=>[4,5,2,3,1,6]
[4,3,3,1,6,1]=>[{4,6},{2,3},{1},{5}]=>[4,6,2,3,1,5]
[4,3,3,6,1,1]=>[{5,6},{2,3},{1},{4}]=>[5,6,2,3,1,4]
[4,3,6,1,1,3]=>[{4,5},{2,6},{1},{3}]=>[4,5,2,6,1,3]
[4,3,6,1,3,1]=>[{4,6},{2,5},{1},{3}]=>[4,6,2,5,1,3]
[4,3,6,3,1,1]=>[{5,6},{2,4},{1},{3}]=>[5,6,2,4,1,3]
[4,6,1,1,3,3]=>[{3,4},{5,6},{1},{2}]=>[3,4,5,6,1,2]
[4,6,1,3,1,3]=>[{3,5},{4,6},{1},{2}]=>[3,5,4,6,1,2]
[4,6,1,3,3,1]=>[{3,6},{4,5},{1},{2}]=>[3,6,4,5,1,2]
[4,6,3,1,1,3]=>[{4,5},{3,6},{1},{2}]=>[4,5,3,6,1,2]
[4,6,3,1,3,1]=>[{4,6},{3,5},{1},{2}]=>[4,6,3,5,1,2]
[4,6,3,3,1,1]=>[{5,6},{3,4},{1},{2}]=>[5,6,3,4,1,2]
[6,1,1,3,3,4]=>[{2,3},{4,5},{6},{1}]=>[2,3,4,5,6,1]
[6,1,1,3,4,3]=>[{2,3},{4,6},{5},{1}]=>[2,3,4,6,5,1]
[6,1,1,4,3,3]=>[{2,3},{5,6},{4},{1}]=>[2,3,5,6,4,1]
[6,1,3,1,3,4]=>[{2,4},{3,5},{6},{1}]=>[2,4,3,5,6,1]
[6,1,3,1,4,3]=>[{2,4},{3,6},{5},{1}]=>[2,4,3,6,5,1]
[6,1,3,3,1,4]=>[{2,5},{3,4},{6},{1}]=>[2,5,3,4,6,1]
[6,1,3,3,4,1]=>[{2,6},{3,4},{5},{1}]=>[2,6,3,4,5,1]
[6,1,3,4,1,3]=>[{2,5},{3,6},{4},{1}]=>[2,5,3,6,4,1]
[6,1,3,4,3,1]=>[{2,6},{3,5},{4},{1}]=>[2,6,3,5,4,1]
[6,1,4,1,3,3]=>[{2,4},{5,6},{3},{1}]=>[2,4,5,6,3,1]
[6,1,4,3,1,3]=>[{2,5},{4,6},{3},{1}]=>[2,5,4,6,3,1]
[6,1,4,3,3,1]=>[{2,6},{4,5},{3},{1}]=>[2,6,4,5,3,1]
[6,3,1,1,3,4]=>[{3,4},{2,5},{6},{1}]=>[3,4,2,5,6,1]
[6,3,1,1,4,3]=>[{3,4},{2,6},{5},{1}]=>[3,4,2,6,5,1]
[6,3,1,3,1,4]=>[{3,5},{2,4},{6},{1}]=>[3,5,2,4,6,1]
[6,3,1,3,4,1]=>[{3,6},{2,4},{5},{1}]=>[3,6,2,4,5,1]
[6,3,1,4,1,3]=>[{3,5},{2,6},{4},{1}]=>[3,5,2,6,4,1]
[6,3,1,4,3,1]=>[{3,6},{2,5},{4},{1}]=>[3,6,2,5,4,1]
[6,3,3,1,1,4]=>[{4,5},{2,3},{6},{1}]=>[4,5,2,3,6,1]
[6,3,3,1,4,1]=>[{4,6},{2,3},{5},{1}]=>[4,6,2,3,5,1]
[6,3,3,4,1,1]=>[{5,6},{2,3},{4},{1}]=>[5,6,2,3,4,1]
[6,3,4,1,1,3]=>[{4,5},{2,6},{3},{1}]=>[4,5,2,6,3,1]
[6,3,4,1,3,1]=>[{4,6},{2,5},{3},{1}]=>[4,6,2,5,3,1]
[6,3,4,3,1,1]=>[{5,6},{2,4},{3},{1}]=>[5,6,2,4,3,1]
[6,4,1,1,3,3]=>[{3,4},{5,6},{2},{1}]=>[3,4,5,6,2,1]
[6,4,1,3,1,3]=>[{3,5},{4,6},{2},{1}]=>[3,5,4,6,2,1]
[6,4,1,3,3,1]=>[{3,6},{4,5},{2},{1}]=>[3,6,4,5,2,1]
[6,4,3,1,1,3]=>[{4,5},{3,6},{2},{1}]=>[4,5,3,6,2,1]
[6,4,3,1,3,1]=>[{4,6},{3,5},{2},{1}]=>[4,6,3,5,2,1]
[6,4,3,3,1,1]=>[{5,6},{3,4},{2},{1}]=>[5,6,3,4,2,1]
[1,1,3,3,5,5]=>[{1,2},{3,4},{5,6}]=>[1,2,3,4,5,6]
[1,1,3,5,3,5]=>[{1,2},{3,5},{4,6}]=>[1,2,3,5,4,6]
[1,1,3,5,5,3]=>[{1,2},{3,6},{4,5}]=>[1,2,3,6,4,5]
[1,1,5,3,3,5]=>[{1,2},{4,5},{3,6}]=>[1,2,4,5,3,6]
[1,1,5,3,5,3]=>[{1,2},{4,6},{3,5}]=>[1,2,4,6,3,5]
[1,1,5,5,3,3]=>[{1,2},{5,6},{3,4}]=>[1,2,5,6,3,4]
[1,3,1,3,5,5]=>[{1,3},{2,4},{5,6}]=>[1,3,2,4,5,6]
[1,3,1,5,3,5]=>[{1,3},{2,5},{4,6}]=>[1,3,2,5,4,6]
[1,3,1,5,5,3]=>[{1,3},{2,6},{4,5}]=>[1,3,2,6,4,5]
[1,3,3,1,5,5]=>[{1,4},{2,3},{5,6}]=>[1,4,2,3,5,6]
[1,3,3,5,1,5]=>[{1,5},{2,3},{4,6}]=>[1,5,2,3,4,6]
[1,3,3,5,5,1]=>[{1,6},{2,3},{4,5}]=>[1,6,2,3,4,5]
[1,3,5,1,3,5]=>[{1,4},{2,5},{3,6}]=>[1,4,2,5,3,6]
[1,3,5,1,5,3]=>[{1,4},{2,6},{3,5}]=>[1,4,2,6,3,5]
[1,3,5,3,1,5]=>[{1,5},{2,4},{3,6}]=>[1,5,2,4,3,6]
[1,3,5,3,5,1]=>[{1,6},{2,4},{3,5}]=>[1,6,2,4,3,5]
[1,3,5,5,1,3]=>[{1,5},{2,6},{3,4}]=>[1,5,2,6,3,4]
[1,3,5,5,3,1]=>[{1,6},{2,5},{3,4}]=>[1,6,2,5,3,4]
[1,5,1,3,3,5]=>[{1,3},{4,5},{2,6}]=>[1,3,4,5,2,6]
[1,5,1,3,5,3]=>[{1,3},{4,6},{2,5}]=>[1,3,4,6,2,5]
[1,5,1,5,3,3]=>[{1,3},{5,6},{2,4}]=>[1,3,5,6,2,4]
[1,5,3,1,3,5]=>[{1,4},{3,5},{2,6}]=>[1,4,3,5,2,6]
[1,5,3,1,5,3]=>[{1,4},{3,6},{2,5}]=>[1,4,3,6,2,5]
[1,5,3,3,1,5]=>[{1,5},{3,4},{2,6}]=>[1,5,3,4,2,6]
[1,5,3,3,5,1]=>[{1,6},{3,4},{2,5}]=>[1,6,3,4,2,5]
[1,5,3,5,1,3]=>[{1,5},{3,6},{2,4}]=>[1,5,3,6,2,4]
[1,5,3,5,3,1]=>[{1,6},{3,5},{2,4}]=>[1,6,3,5,2,4]
[1,5,5,1,3,3]=>[{1,4},{5,6},{2,3}]=>[1,4,5,6,2,3]
[1,5,5,3,1,3]=>[{1,5},{4,6},{2,3}]=>[1,5,4,6,2,3]
[1,5,5,3,3,1]=>[{1,6},{4,5},{2,3}]=>[1,6,4,5,2,3]
[3,1,1,3,5,5]=>[{2,3},{1,4},{5,6}]=>[2,3,1,4,5,6]
[3,1,1,5,3,5]=>[{2,3},{1,5},{4,6}]=>[2,3,1,5,4,6]
[3,1,1,5,5,3]=>[{2,3},{1,6},{4,5}]=>[2,3,1,6,4,5]
[3,1,3,1,5,5]=>[{2,4},{1,3},{5,6}]=>[2,4,1,3,5,6]
[3,1,3,5,1,5]=>[{2,5},{1,3},{4,6}]=>[2,5,1,3,4,6]
[3,1,3,5,5,1]=>[{2,6},{1,3},{4,5}]=>[2,6,1,3,4,5]
[3,1,5,1,3,5]=>[{2,4},{1,5},{3,6}]=>[2,4,1,5,3,6]
[3,1,5,1,5,3]=>[{2,4},{1,6},{3,5}]=>[2,4,1,6,3,5]
[3,1,5,3,1,5]=>[{2,5},{1,4},{3,6}]=>[2,5,1,4,3,6]
[3,1,5,3,5,1]=>[{2,6},{1,4},{3,5}]=>[2,6,1,4,3,5]
[3,1,5,5,1,3]=>[{2,5},{1,6},{3,4}]=>[2,5,1,6,3,4]
[3,1,5,5,3,1]=>[{2,6},{1,5},{3,4}]=>[2,6,1,5,3,4]
[3,3,1,1,5,5]=>[{3,4},{1,2},{5,6}]=>[3,4,1,2,5,6]
[3,3,1,5,1,5]=>[{3,5},{1,2},{4,6}]=>[3,5,1,2,4,6]
[3,3,1,5,5,1]=>[{3,6},{1,2},{4,5}]=>[3,6,1,2,4,5]
[3,3,5,1,1,5]=>[{4,5},{1,2},{3,6}]=>[4,5,1,2,3,6]
[3,3,5,1,5,1]=>[{4,6},{1,2},{3,5}]=>[4,6,1,2,3,5]
[3,3,5,5,1,1]=>[{5,6},{1,2},{3,4}]=>[5,6,1,2,3,4]
[3,5,1,1,3,5]=>[{3,4},{1,5},{2,6}]=>[3,4,1,5,2,6]
[3,5,1,1,5,3]=>[{3,4},{1,6},{2,5}]=>[3,4,1,6,2,5]
[3,5,1,3,1,5]=>[{3,5},{1,4},{2,6}]=>[3,5,1,4,2,6]
[3,5,1,3,5,1]=>[{3,6},{1,4},{2,5}]=>[3,6,1,4,2,5]
[3,5,1,5,1,3]=>[{3,5},{1,6},{2,4}]=>[3,5,1,6,2,4]
[3,5,1,5,3,1]=>[{3,6},{1,5},{2,4}]=>[3,6,1,5,2,4]
[3,5,3,1,1,5]=>[{4,5},{1,3},{2,6}]=>[4,5,1,3,2,6]
[3,5,3,1,5,1]=>[{4,6},{1,3},{2,5}]=>[4,6,1,3,2,5]
[3,5,3,5,1,1]=>[{5,6},{1,3},{2,4}]=>[5,6,1,3,2,4]
[3,5,5,1,1,3]=>[{4,5},{1,6},{2,3}]=>[4,5,1,6,2,3]
[3,5,5,1,3,1]=>[{4,6},{1,5},{2,3}]=>[4,6,1,5,2,3]
[3,5,5,3,1,1]=>[{5,6},{1,4},{2,3}]=>[5,6,1,4,2,3]
[5,1,1,3,3,5]=>[{2,3},{4,5},{1,6}]=>[2,3,4,5,1,6]
[5,1,1,3,5,3]=>[{2,3},{4,6},{1,5}]=>[2,3,4,6,1,5]
[5,1,1,5,3,3]=>[{2,3},{5,6},{1,4}]=>[2,3,5,6,1,4]
[5,1,3,1,3,5]=>[{2,4},{3,5},{1,6}]=>[2,4,3,5,1,6]
[5,1,3,1,5,3]=>[{2,4},{3,6},{1,5}]=>[2,4,3,6,1,5]
[5,1,3,3,1,5]=>[{2,5},{3,4},{1,6}]=>[2,5,3,4,1,6]
[5,1,3,3,5,1]=>[{2,6},{3,4},{1,5}]=>[2,6,3,4,1,5]
[5,1,3,5,1,3]=>[{2,5},{3,6},{1,4}]=>[2,5,3,6,1,4]
[5,1,3,5,3,1]=>[{2,6},{3,5},{1,4}]=>[2,6,3,5,1,4]
[5,1,5,1,3,3]=>[{2,4},{5,6},{1,3}]=>[2,4,5,6,1,3]
[5,1,5,3,1,3]=>[{2,5},{4,6},{1,3}]=>[2,5,4,6,1,3]
[5,1,5,3,3,1]=>[{2,6},{4,5},{1,3}]=>[2,6,4,5,1,3]
[5,3,1,1,3,5]=>[{3,4},{2,5},{1,6}]=>[3,4,2,5,1,6]
[5,3,1,1,5,3]=>[{3,4},{2,6},{1,5}]=>[3,4,2,6,1,5]
[5,3,1,3,1,5]=>[{3,5},{2,4},{1,6}]=>[3,5,2,4,1,6]
[5,3,1,3,5,1]=>[{3,6},{2,4},{1,5}]=>[3,6,2,4,1,5]
[5,3,1,5,1,3]=>[{3,5},{2,6},{1,4}]=>[3,5,2,6,1,4]
[5,3,1,5,3,1]=>[{3,6},{2,5},{1,4}]=>[3,6,2,5,1,4]
[5,3,3,1,1,5]=>[{4,5},{2,3},{1,6}]=>[4,5,2,3,1,6]
[5,3,3,1,5,1]=>[{4,6},{2,3},{1,5}]=>[4,6,2,3,1,5]
[5,3,3,5,1,1]=>[{5,6},{2,3},{1,4}]=>[5,6,2,3,1,4]
[5,3,5,1,1,3]=>[{4,5},{2,6},{1,3}]=>[4,5,2,6,1,3]
[5,3,5,1,3,1]=>[{4,6},{2,5},{1,3}]=>[4,6,2,5,1,3]
[5,3,5,3,1,1]=>[{5,6},{2,4},{1,3}]=>[5,6,2,4,1,3]
[5,5,1,1,3,3]=>[{3,4},{5,6},{1,2}]=>[3,4,5,6,1,2]
[5,5,1,3,1,3]=>[{3,5},{4,6},{1,2}]=>[3,5,4,6,1,2]
[5,5,1,3,3,1]=>[{3,6},{4,5},{1,2}]=>[3,6,4,5,1,2]
[5,5,3,1,1,3]=>[{4,5},{3,6},{1,2}]=>[4,5,3,6,1,2]
[5,5,3,1,3,1]=>[{4,6},{3,5},{1,2}]=>[4,6,3,5,1,2]
[5,5,3,3,1,1]=>[{5,6},{3,4},{1,2}]=>[5,6,3,4,1,2]
[1,1,3,3,5,6]=>[{1,2},{3,4},{5},{6}]=>[1,2,3,4,5,6]
[1,1,3,3,6,5]=>[{1,2},{3,4},{6},{5}]=>[1,2,3,4,6,5]
[1,1,3,5,3,6]=>[{1,2},{3,5},{4},{6}]=>[1,2,3,5,4,6]
[1,1,3,5,6,3]=>[{1,2},{3,6},{4},{5}]=>[1,2,3,6,4,5]
[1,1,3,6,3,5]=>[{1,2},{3,5},{6},{4}]=>[1,2,3,5,6,4]
[1,1,3,6,5,3]=>[{1,2},{3,6},{5},{4}]=>[1,2,3,6,5,4]
[1,1,5,3,3,6]=>[{1,2},{4,5},{3},{6}]=>[1,2,4,5,3,6]
[1,1,5,3,6,3]=>[{1,2},{4,6},{3},{5}]=>[1,2,4,6,3,5]
[1,1,5,6,3,3]=>[{1,2},{5,6},{3},{4}]=>[1,2,5,6,3,4]
[1,1,6,3,3,5]=>[{1,2},{4,5},{6},{3}]=>[1,2,4,5,6,3]
[1,1,6,3,5,3]=>[{1,2},{4,6},{5},{3}]=>[1,2,4,6,5,3]
[1,1,6,5,3,3]=>[{1,2},{5,6},{4},{3}]=>[1,2,5,6,4,3]
[1,3,1,3,5,6]=>[{1,3},{2,4},{5},{6}]=>[1,3,2,4,5,6]
[1,3,1,3,6,5]=>[{1,3},{2,4},{6},{5}]=>[1,3,2,4,6,5]
[1,3,1,5,3,6]=>[{1,3},{2,5},{4},{6}]=>[1,3,2,5,4,6]
[1,3,1,5,6,3]=>[{1,3},{2,6},{4},{5}]=>[1,3,2,6,4,5]
[1,3,1,6,3,5]=>[{1,3},{2,5},{6},{4}]=>[1,3,2,5,6,4]
[1,3,1,6,5,3]=>[{1,3},{2,6},{5},{4}]=>[1,3,2,6,5,4]
[1,3,3,1,5,6]=>[{1,4},{2,3},{5},{6}]=>[1,4,2,3,5,6]
[1,3,3,1,6,5]=>[{1,4},{2,3},{6},{5}]=>[1,4,2,3,6,5]
[1,3,3,5,1,6]=>[{1,5},{2,3},{4},{6}]=>[1,5,2,3,4,6]
[1,3,3,5,6,1]=>[{1,6},{2,3},{4},{5}]=>[1,6,2,3,4,5]
[1,3,3,6,1,5]=>[{1,5},{2,3},{6},{4}]=>[1,5,2,3,6,4]
[1,3,3,6,5,1]=>[{1,6},{2,3},{5},{4}]=>[1,6,2,3,5,4]
[1,3,5,1,3,6]=>[{1,4},{2,5},{3},{6}]=>[1,4,2,5,3,6]
[1,3,5,1,6,3]=>[{1,4},{2,6},{3},{5}]=>[1,4,2,6,3,5]
[1,3,5,3,1,6]=>[{1,5},{2,4},{3},{6}]=>[1,5,2,4,3,6]
[1,3,5,3,6,1]=>[{1,6},{2,4},{3},{5}]=>[1,6,2,4,3,5]
[1,3,5,6,1,3]=>[{1,5},{2,6},{3},{4}]=>[1,5,2,6,3,4]
[1,3,5,6,3,1]=>[{1,6},{2,5},{3},{4}]=>[1,6,2,5,3,4]
[1,3,6,1,3,5]=>[{1,4},{2,5},{6},{3}]=>[1,4,2,5,6,3]
[1,3,6,1,5,3]=>[{1,4},{2,6},{5},{3}]=>[1,4,2,6,5,3]
[1,3,6,3,1,5]=>[{1,5},{2,4},{6},{3}]=>[1,5,2,4,6,3]
[1,3,6,3,5,1]=>[{1,6},{2,4},{5},{3}]=>[1,6,2,4,5,3]
[1,3,6,5,1,3]=>[{1,5},{2,6},{4},{3}]=>[1,5,2,6,4,3]
[1,3,6,5,3,1]=>[{1,6},{2,5},{4},{3}]=>[1,6,2,5,4,3]
[1,5,1,3,3,6]=>[{1,3},{4,5},{2},{6}]=>[1,3,4,5,2,6]
[1,5,1,3,6,3]=>[{1,3},{4,6},{2},{5}]=>[1,3,4,6,2,5]
[1,5,1,6,3,3]=>[{1,3},{5,6},{2},{4}]=>[1,3,5,6,2,4]
[1,5,3,1,3,6]=>[{1,4},{3,5},{2},{6}]=>[1,4,3,5,2,6]
[1,5,3,1,6,3]=>[{1,4},{3,6},{2},{5}]=>[1,4,3,6,2,5]
[1,5,3,3,1,6]=>[{1,5},{3,4},{2},{6}]=>[1,5,3,4,2,6]
[1,5,3,3,6,1]=>[{1,6},{3,4},{2},{5}]=>[1,6,3,4,2,5]
[1,5,3,6,1,3]=>[{1,5},{3,6},{2},{4}]=>[1,5,3,6,2,4]
[1,5,3,6,3,1]=>[{1,6},{3,5},{2},{4}]=>[1,6,3,5,2,4]
[1,5,6,1,3,3]=>[{1,4},{5,6},{2},{3}]=>[1,4,5,6,2,3]
[1,5,6,3,1,3]=>[{1,5},{4,6},{2},{3}]=>[1,5,4,6,2,3]
[1,5,6,3,3,1]=>[{1,6},{4,5},{2},{3}]=>[1,6,4,5,2,3]
[1,6,1,3,3,5]=>[{1,3},{4,5},{6},{2}]=>[1,3,4,5,6,2]
[1,6,1,3,5,3]=>[{1,3},{4,6},{5},{2}]=>[1,3,4,6,5,2]
[1,6,1,5,3,3]=>[{1,3},{5,6},{4},{2}]=>[1,3,5,6,4,2]
[1,6,3,1,3,5]=>[{1,4},{3,5},{6},{2}]=>[1,4,3,5,6,2]
[1,6,3,1,5,3]=>[{1,4},{3,6},{5},{2}]=>[1,4,3,6,5,2]
[1,6,3,3,1,5]=>[{1,5},{3,4},{6},{2}]=>[1,5,3,4,6,2]
[1,6,3,3,5,1]=>[{1,6},{3,4},{5},{2}]=>[1,6,3,4,5,2]
[1,6,3,5,1,3]=>[{1,5},{3,6},{4},{2}]=>[1,5,3,6,4,2]
[1,6,3,5,3,1]=>[{1,6},{3,5},{4},{2}]=>[1,6,3,5,4,2]
[1,6,5,1,3,3]=>[{1,4},{5,6},{3},{2}]=>[1,4,5,6,3,2]
[1,6,5,3,1,3]=>[{1,5},{4,6},{3},{2}]=>[1,5,4,6,3,2]
[1,6,5,3,3,1]=>[{1,6},{4,5},{3},{2}]=>[1,6,4,5,3,2]
[3,1,1,3,5,6]=>[{2,3},{1,4},{5},{6}]=>[2,3,1,4,5,6]
[3,1,1,3,6,5]=>[{2,3},{1,4},{6},{5}]=>[2,3,1,4,6,5]
[3,1,1,5,3,6]=>[{2,3},{1,5},{4},{6}]=>[2,3,1,5,4,6]
[3,1,1,5,6,3]=>[{2,3},{1,6},{4},{5}]=>[2,3,1,6,4,5]
[3,1,1,6,3,5]=>[{2,3},{1,5},{6},{4}]=>[2,3,1,5,6,4]
[3,1,1,6,5,3]=>[{2,3},{1,6},{5},{4}]=>[2,3,1,6,5,4]
[3,1,3,1,5,6]=>[{2,4},{1,3},{5},{6}]=>[2,4,1,3,5,6]
[3,1,3,1,6,5]=>[{2,4},{1,3},{6},{5}]=>[2,4,1,3,6,5]
[3,1,3,5,1,6]=>[{2,5},{1,3},{4},{6}]=>[2,5,1,3,4,6]
[3,1,3,5,6,1]=>[{2,6},{1,3},{4},{5}]=>[2,6,1,3,4,5]
[3,1,3,6,1,5]=>[{2,5},{1,3},{6},{4}]=>[2,5,1,3,6,4]
[3,1,3,6,5,1]=>[{2,6},{1,3},{5},{4}]=>[2,6,1,3,5,4]
[3,1,5,1,3,6]=>[{2,4},{1,5},{3},{6}]=>[2,4,1,5,3,6]
[3,1,5,1,6,3]=>[{2,4},{1,6},{3},{5}]=>[2,4,1,6,3,5]
[3,1,5,3,1,6]=>[{2,5},{1,4},{3},{6}]=>[2,5,1,4,3,6]
[3,1,5,3,6,1]=>[{2,6},{1,4},{3},{5}]=>[2,6,1,4,3,5]
[3,1,5,6,1,3]=>[{2,5},{1,6},{3},{4}]=>[2,5,1,6,3,4]
[3,1,5,6,3,1]=>[{2,6},{1,5},{3},{4}]=>[2,6,1,5,3,4]
[3,1,6,1,3,5]=>[{2,4},{1,5},{6},{3}]=>[2,4,1,5,6,3]
[3,1,6,1,5,3]=>[{2,4},{1,6},{5},{3}]=>[2,4,1,6,5,3]
[3,1,6,3,1,5]=>[{2,5},{1,4},{6},{3}]=>[2,5,1,4,6,3]
[3,1,6,3,5,1]=>[{2,6},{1,4},{5},{3}]=>[2,6,1,4,5,3]
[3,1,6,5,1,3]=>[{2,5},{1,6},{4},{3}]=>[2,5,1,6,4,3]
[3,1,6,5,3,1]=>[{2,6},{1,5},{4},{3}]=>[2,6,1,5,4,3]
[3,3,1,1,5,6]=>[{3,4},{1,2},{5},{6}]=>[3,4,1,2,5,6]
[3,3,1,1,6,5]=>[{3,4},{1,2},{6},{5}]=>[3,4,1,2,6,5]
[3,3,1,5,1,6]=>[{3,5},{1,2},{4},{6}]=>[3,5,1,2,4,6]
[3,3,1,5,6,1]=>[{3,6},{1,2},{4},{5}]=>[3,6,1,2,4,5]
[3,3,1,6,1,5]=>[{3,5},{1,2},{6},{4}]=>[3,5,1,2,6,4]
[3,3,1,6,5,1]=>[{3,6},{1,2},{5},{4}]=>[3,6,1,2,5,4]
[3,3,5,1,1,6]=>[{4,5},{1,2},{3},{6}]=>[4,5,1,2,3,6]
[3,3,5,1,6,1]=>[{4,6},{1,2},{3},{5}]=>[4,6,1,2,3,5]
[3,3,5,6,1,1]=>[{5,6},{1,2},{3},{4}]=>[5,6,1,2,3,4]
[3,3,6,1,1,5]=>[{4,5},{1,2},{6},{3}]=>[4,5,1,2,6,3]
[3,3,6,1,5,1]=>[{4,6},{1,2},{5},{3}]=>[4,6,1,2,5,3]
[3,3,6,5,1,1]=>[{5,6},{1,2},{4},{3}]=>[5,6,1,2,4,3]
[3,5,1,1,3,6]=>[{3,4},{1,5},{2},{6}]=>[3,4,1,5,2,6]
[3,5,1,1,6,3]=>[{3,4},{1,6},{2},{5}]=>[3,4,1,6,2,5]
[3,5,1,3,1,6]=>[{3,5},{1,4},{2},{6}]=>[3,5,1,4,2,6]
[3,5,1,3,6,1]=>[{3,6},{1,4},{2},{5}]=>[3,6,1,4,2,5]
[3,5,1,6,1,3]=>[{3,5},{1,6},{2},{4}]=>[3,5,1,6,2,4]
[3,5,1,6,3,1]=>[{3,6},{1,5},{2},{4}]=>[3,6,1,5,2,4]
[3,5,3,1,1,6]=>[{4,5},{1,3},{2},{6}]=>[4,5,1,3,2,6]
[3,5,3,1,6,1]=>[{4,6},{1,3},{2},{5}]=>[4,6,1,3,2,5]
[3,5,3,6,1,1]=>[{5,6},{1,3},{2},{4}]=>[5,6,1,3,2,4]
[3,5,6,1,1,3]=>[{4,5},{1,6},{2},{3}]=>[4,5,1,6,2,3]
[3,5,6,1,3,1]=>[{4,6},{1,5},{2},{3}]=>[4,6,1,5,2,3]
[3,5,6,3,1,1]=>[{5,6},{1,4},{2},{3}]=>[5,6,1,4,2,3]
[3,6,1,1,3,5]=>[{3,4},{1,5},{6},{2}]=>[3,4,1,5,6,2]
[3,6,1,1,5,3]=>[{3,4},{1,6},{5},{2}]=>[3,4,1,6,5,2]
[3,6,1,3,1,5]=>[{3,5},{1,4},{6},{2}]=>[3,5,1,4,6,2]
[3,6,1,3,5,1]=>[{3,6},{1,4},{5},{2}]=>[3,6,1,4,5,2]
[3,6,1,5,1,3]=>[{3,5},{1,6},{4},{2}]=>[3,5,1,6,4,2]
[3,6,1,5,3,1]=>[{3,6},{1,5},{4},{2}]=>[3,6,1,5,4,2]
[3,6,3,1,1,5]=>[{4,5},{1,3},{6},{2}]=>[4,5,1,3,6,2]
[3,6,3,1,5,1]=>[{4,6},{1,3},{5},{2}]=>[4,6,1,3,5,2]
[3,6,3,5,1,1]=>[{5,6},{1,3},{4},{2}]=>[5,6,1,3,4,2]
[3,6,5,1,1,3]=>[{4,5},{1,6},{3},{2}]=>[4,5,1,6,3,2]
[3,6,5,1,3,1]=>[{4,6},{1,5},{3},{2}]=>[4,6,1,5,3,2]
[3,6,5,3,1,1]=>[{5,6},{1,4},{3},{2}]=>[5,6,1,4,3,2]
[5,1,1,3,3,6]=>[{2,3},{4,5},{1},{6}]=>[2,3,4,5,1,6]
[5,1,1,3,6,3]=>[{2,3},{4,6},{1},{5}]=>[2,3,4,6,1,5]
[5,1,1,6,3,3]=>[{2,3},{5,6},{1},{4}]=>[2,3,5,6,1,4]
[5,1,3,1,3,6]=>[{2,4},{3,5},{1},{6}]=>[2,4,3,5,1,6]
[5,1,3,1,6,3]=>[{2,4},{3,6},{1},{5}]=>[2,4,3,6,1,5]
[5,1,3,3,1,6]=>[{2,5},{3,4},{1},{6}]=>[2,5,3,4,1,6]
[5,1,3,3,6,1]=>[{2,6},{3,4},{1},{5}]=>[2,6,3,4,1,5]
[5,1,3,6,1,3]=>[{2,5},{3,6},{1},{4}]=>[2,5,3,6,1,4]
[5,1,3,6,3,1]=>[{2,6},{3,5},{1},{4}]=>[2,6,3,5,1,4]
[5,1,6,1,3,3]=>[{2,4},{5,6},{1},{3}]=>[2,4,5,6,1,3]
[5,1,6,3,1,3]=>[{2,5},{4,6},{1},{3}]=>[2,5,4,6,1,3]
[5,1,6,3,3,1]=>[{2,6},{4,5},{1},{3}]=>[2,6,4,5,1,3]
[5,3,1,1,3,6]=>[{3,4},{2,5},{1},{6}]=>[3,4,2,5,1,6]
[5,3,1,1,6,3]=>[{3,4},{2,6},{1},{5}]=>[3,4,2,6,1,5]
[5,3,1,3,1,6]=>[{3,5},{2,4},{1},{6}]=>[3,5,2,4,1,6]
[5,3,1,3,6,1]=>[{3,6},{2,4},{1},{5}]=>[3,6,2,4,1,5]
[5,3,1,6,1,3]=>[{3,5},{2,6},{1},{4}]=>[3,5,2,6,1,4]
[5,3,1,6,3,1]=>[{3,6},{2,5},{1},{4}]=>[3,6,2,5,1,4]
[5,3,3,1,1,6]=>[{4,5},{2,3},{1},{6}]=>[4,5,2,3,1,6]
[5,3,3,1,6,1]=>[{4,6},{2,3},{1},{5}]=>[4,6,2,3,1,5]
[5,3,3,6,1,1]=>[{5,6},{2,3},{1},{4}]=>[5,6,2,3,1,4]
[5,3,6,1,1,3]=>[{4,5},{2,6},{1},{3}]=>[4,5,2,6,1,3]
[5,3,6,1,3,1]=>[{4,6},{2,5},{1},{3}]=>[4,6,2,5,1,3]
[5,3,6,3,1,1]=>[{5,6},{2,4},{1},{3}]=>[5,6,2,4,1,3]
[5,6,1,1,3,3]=>[{3,4},{5,6},{1},{2}]=>[3,4,5,6,1,2]
[5,6,1,3,1,3]=>[{3,5},{4,6},{1},{2}]=>[3,5,4,6,1,2]
[5,6,1,3,3,1]=>[{3,6},{4,5},{1},{2}]=>[3,6,4,5,1,2]
[5,6,3,1,1,3]=>[{4,5},{3,6},{1},{2}]=>[4,5,3,6,1,2]
[5,6,3,1,3,1]=>[{4,6},{3,5},{1},{2}]=>[4,6,3,5,1,2]
[5,6,3,3,1,1]=>[{5,6},{3,4},{1},{2}]=>[5,6,3,4,1,2]
[6,1,1,3,3,5]=>[{2,3},{4,5},{6},{1}]=>[2,3,4,5,6,1]
[6,1,1,3,5,3]=>[{2,3},{4,6},{5},{1}]=>[2,3,4,6,5,1]
[6,1,1,5,3,3]=>[{2,3},{5,6},{4},{1}]=>[2,3,5,6,4,1]
[6,1,3,1,3,5]=>[{2,4},{3,5},{6},{1}]=>[2,4,3,5,6,1]
[6,1,3,1,5,3]=>[{2,4},{3,6},{5},{1}]=>[2,4,3,6,5,1]
[6,1,3,3,1,5]=>[{2,5},{3,4},{6},{1}]=>[2,5,3,4,6,1]
[6,1,3,3,5,1]=>[{2,6},{3,4},{5},{1}]=>[2,6,3,4,5,1]
[6,1,3,5,1,3]=>[{2,5},{3,6},{4},{1}]=>[2,5,3,6,4,1]
[6,1,3,5,3,1]=>[{2,6},{3,5},{4},{1}]=>[2,6,3,5,4,1]
[6,1,5,1,3,3]=>[{2,4},{5,6},{3},{1}]=>[2,4,5,6,3,1]
[6,1,5,3,1,3]=>[{2,5},{4,6},{3},{1}]=>[2,5,4,6,3,1]
[6,1,5,3,3,1]=>[{2,6},{4,5},{3},{1}]=>[2,6,4,5,3,1]
[6,3,1,1,3,5]=>[{3,4},{2,5},{6},{1}]=>[3,4,2,5,6,1]
[6,3,1,1,5,3]=>[{3,4},{2,6},{5},{1}]=>[3,4,2,6,5,1]
[6,3,1,3,1,5]=>[{3,5},{2,4},{6},{1}]=>[3,5,2,4,6,1]
[6,3,1,3,5,1]=>[{3,6},{2,4},{5},{1}]=>[3,6,2,4,5,1]
[6,3,1,5,1,3]=>[{3,5},{2,6},{4},{1}]=>[3,5,2,6,4,1]
[6,3,1,5,3,1]=>[{3,6},{2,5},{4},{1}]=>[3,6,2,5,4,1]
[6,3,3,1,1,5]=>[{4,5},{2,3},{6},{1}]=>[4,5,2,3,6,1]
[6,3,3,1,5,1]=>[{4,6},{2,3},{5},{1}]=>[4,6,2,3,5,1]
[6,3,3,5,1,1]=>[{5,6},{2,3},{4},{1}]=>[5,6,2,3,4,1]
[6,3,5,1,1,3]=>[{4,5},{2,6},{3},{1}]=>[4,5,2,6,3,1]
[6,3,5,1,3,1]=>[{4,6},{2,5},{3},{1}]=>[4,6,2,5,3,1]
[6,3,5,3,1,1]=>[{5,6},{2,4},{3},{1}]=>[5,6,2,4,3,1]
[6,5,1,1,3,3]=>[{3,4},{5,6},{2},{1}]=>[3,4,5,6,2,1]
[6,5,1,3,1,3]=>[{3,5},{4,6},{2},{1}]=>[3,5,4,6,2,1]
[6,5,1,3,3,1]=>[{3,6},{4,5},{2},{1}]=>[3,6,4,5,2,1]
[6,5,3,1,1,3]=>[{4,5},{3,6},{2},{1}]=>[4,5,3,6,2,1]
[6,5,3,1,3,1]=>[{4,6},{3,5},{2},{1}]=>[4,6,3,5,2,1]
[6,5,3,3,1,1]=>[{5,6},{3,4},{2},{1}]=>[5,6,3,4,2,1]
[1,1,3,4,4,4]=>[{1,2},{3},{4,5,6}]=>[1,2,3,4,5,6]
[1,1,4,3,4,4]=>[{1,2},{4},{3,5,6}]=>[1,2,4,3,5,6]
[1,1,4,4,3,4]=>[{1,2},{5},{3,4,6}]=>[1,2,5,3,4,6]
[1,1,4,4,4,3]=>[{1,2},{6},{3,4,5}]=>[1,2,6,3,4,5]
[1,3,1,4,4,4]=>[{1,3},{2},{4,5,6}]=>[1,3,2,4,5,6]
[1,3,4,1,4,4]=>[{1,4},{2},{3,5,6}]=>[1,4,2,3,5,6]
[1,3,4,4,1,4]=>[{1,5},{2},{3,4,6}]=>[1,5,2,3,4,6]
[1,3,4,4,4,1]=>[{1,6},{2},{3,4,5}]=>[1,6,2,3,4,5]
[1,4,1,3,4,4]=>[{1,3},{4},{2,5,6}]=>[1,3,4,2,5,6]
[1,4,1,4,3,4]=>[{1,3},{5},{2,4,6}]=>[1,3,5,2,4,6]
[1,4,1,4,4,3]=>[{1,3},{6},{2,4,5}]=>[1,3,6,2,4,5]
[1,4,3,1,4,4]=>[{1,4},{3},{2,5,6}]=>[1,4,3,2,5,6]
[1,4,3,4,1,4]=>[{1,5},{3},{2,4,6}]=>[1,5,3,2,4,6]
[1,4,3,4,4,1]=>[{1,6},{3},{2,4,5}]=>[1,6,3,2,4,5]
[1,4,4,1,3,4]=>[{1,4},{5},{2,3,6}]=>[1,4,5,2,3,6]
[1,4,4,1,4,3]=>[{1,4},{6},{2,3,5}]=>[1,4,6,2,3,5]
[1,4,4,3,1,4]=>[{1,5},{4},{2,3,6}]=>[1,5,4,2,3,6]
[1,4,4,3,4,1]=>[{1,6},{4},{2,3,5}]=>[1,6,4,2,3,5]
[1,4,4,4,1,3]=>[{1,5},{6},{2,3,4}]=>[1,5,6,2,3,4]
[1,4,4,4,3,1]=>[{1,6},{5},{2,3,4}]=>[1,6,5,2,3,4]
[3,1,1,4,4,4]=>[{2,3},{1},{4,5,6}]=>[2,3,1,4,5,6]
[3,1,4,1,4,4]=>[{2,4},{1},{3,5,6}]=>[2,4,1,3,5,6]
[3,1,4,4,1,4]=>[{2,5},{1},{3,4,6}]=>[2,5,1,3,4,6]
[3,1,4,4,4,1]=>[{2,6},{1},{3,4,5}]=>[2,6,1,3,4,5]
[3,4,1,1,4,4]=>[{3,4},{1},{2,5,6}]=>[3,4,1,2,5,6]
[3,4,1,4,1,4]=>[{3,5},{1},{2,4,6}]=>[3,5,1,2,4,6]
[3,4,1,4,4,1]=>[{3,6},{1},{2,4,5}]=>[3,6,1,2,4,5]
[3,4,4,1,1,4]=>[{4,5},{1},{2,3,6}]=>[4,5,1,2,3,6]
[3,4,4,1,4,1]=>[{4,6},{1},{2,3,5}]=>[4,6,1,2,3,5]
[3,4,4,4,1,1]=>[{5,6},{1},{2,3,4}]=>[5,6,1,2,3,4]
[4,1,1,3,4,4]=>[{2,3},{4},{1,5,6}]=>[2,3,4,1,5,6]
[4,1,1,4,3,4]=>[{2,3},{5},{1,4,6}]=>[2,3,5,1,4,6]
[4,1,1,4,4,3]=>[{2,3},{6},{1,4,5}]=>[2,3,6,1,4,5]
[4,1,3,1,4,4]=>[{2,4},{3},{1,5,6}]=>[2,4,3,1,5,6]
[4,1,3,4,1,4]=>[{2,5},{3},{1,4,6}]=>[2,5,3,1,4,6]
[4,1,3,4,4,1]=>[{2,6},{3},{1,4,5}]=>[2,6,3,1,4,5]
[4,1,4,1,3,4]=>[{2,4},{5},{1,3,6}]=>[2,4,5,1,3,6]
[4,1,4,1,4,3]=>[{2,4},{6},{1,3,5}]=>[2,4,6,1,3,5]
[4,1,4,3,1,4]=>[{2,5},{4},{1,3,6}]=>[2,5,4,1,3,6]
[4,1,4,3,4,1]=>[{2,6},{4},{1,3,5}]=>[2,6,4,1,3,5]
[4,1,4,4,1,3]=>[{2,5},{6},{1,3,4}]=>[2,5,6,1,3,4]
[4,1,4,4,3,1]=>[{2,6},{5},{1,3,4}]=>[2,6,5,1,3,4]
[4,3,1,1,4,4]=>[{3,4},{2},{1,5,6}]=>[3,4,2,1,5,6]
[4,3,1,4,1,4]=>[{3,5},{2},{1,4,6}]=>[3,5,2,1,4,6]
[4,3,1,4,4,1]=>[{3,6},{2},{1,4,5}]=>[3,6,2,1,4,5]
[4,3,4,1,1,4]=>[{4,5},{2},{1,3,6}]=>[4,5,2,1,3,6]
[4,3,4,1,4,1]=>[{4,6},{2},{1,3,5}]=>[4,6,2,1,3,5]
[4,3,4,4,1,1]=>[{5,6},{2},{1,3,4}]=>[5,6,2,1,3,4]
[4,4,1,1,3,4]=>[{3,4},{5},{1,2,6}]=>[3,4,5,1,2,6]
[4,4,1,1,4,3]=>[{3,4},{6},{1,2,5}]=>[3,4,6,1,2,5]
[4,4,1,3,1,4]=>[{3,5},{4},{1,2,6}]=>[3,5,4,1,2,6]
[4,4,1,3,4,1]=>[{3,6},{4},{1,2,5}]=>[3,6,4,1,2,5]
[4,4,1,4,1,3]=>[{3,5},{6},{1,2,4}]=>[3,5,6,1,2,4]
[4,4,1,4,3,1]=>[{3,6},{5},{1,2,4}]=>[3,6,5,1,2,4]
[4,4,3,1,1,4]=>[{4,5},{3},{1,2,6}]=>[4,5,3,1,2,6]
[4,4,3,1,4,1]=>[{4,6},{3},{1,2,5}]=>[4,6,3,1,2,5]
[4,4,3,4,1,1]=>[{5,6},{3},{1,2,4}]=>[5,6,3,1,2,4]
[4,4,4,1,1,3]=>[{4,5},{6},{1,2,3}]=>[4,5,6,1,2,3]
[4,4,4,1,3,1]=>[{4,6},{5},{1,2,3}]=>[4,6,5,1,2,3]
[4,4,4,3,1,1]=>[{5,6},{4},{1,2,3}]=>[5,6,4,1,2,3]
[1,1,3,4,4,5]=>[{1,2},{3},{4,5},{6}]=>[1,2,3,4,5,6]
[1,1,3,4,5,4]=>[{1,2},{3},{4,6},{5}]=>[1,2,3,4,6,5]
[1,1,3,5,4,4]=>[{1,2},{3},{5,6},{4}]=>[1,2,3,5,6,4]
[1,1,4,3,4,5]=>[{1,2},{4},{3,5},{6}]=>[1,2,4,3,5,6]
[1,1,4,3,5,4]=>[{1,2},{4},{3,6},{5}]=>[1,2,4,3,6,5]
[1,1,4,4,3,5]=>[{1,2},{5},{3,4},{6}]=>[1,2,5,3,4,6]
[1,1,4,4,5,3]=>[{1,2},{6},{3,4},{5}]=>[1,2,6,3,4,5]
[1,1,4,5,3,4]=>[{1,2},{5},{3,6},{4}]=>[1,2,5,3,6,4]
[1,1,4,5,4,3]=>[{1,2},{6},{3,5},{4}]=>[1,2,6,3,5,4]
[1,1,5,3,4,4]=>[{1,2},{4},{5,6},{3}]=>[1,2,4,5,6,3]
[1,1,5,4,3,4]=>[{1,2},{5},{4,6},{3}]=>[1,2,5,4,6,3]
[1,1,5,4,4,3]=>[{1,2},{6},{4,5},{3}]=>[1,2,6,4,5,3]
[1,3,1,4,4,5]=>[{1,3},{2},{4,5},{6}]=>[1,3,2,4,5,6]
[1,3,1,4,5,4]=>[{1,3},{2},{4,6},{5}]=>[1,3,2,4,6,5]
[1,3,1,5,4,4]=>[{1,3},{2},{5,6},{4}]=>[1,3,2,5,6,4]
[1,3,4,1,4,5]=>[{1,4},{2},{3,5},{6}]=>[1,4,2,3,5,6]
[1,3,4,1,5,4]=>[{1,4},{2},{3,6},{5}]=>[1,4,2,3,6,5]
[1,3,4,4,1,5]=>[{1,5},{2},{3,4},{6}]=>[1,5,2,3,4,6]
[1,3,4,4,5,1]=>[{1,6},{2},{3,4},{5}]=>[1,6,2,3,4,5]
[1,3,4,5,1,4]=>[{1,5},{2},{3,6},{4}]=>[1,5,2,3,6,4]
[1,3,4,5,4,1]=>[{1,6},{2},{3,5},{4}]=>[1,6,2,3,5,4]
[1,3,5,1,4,4]=>[{1,4},{2},{5,6},{3}]=>[1,4,2,5,6,3]
[1,3,5,4,1,4]=>[{1,5},{2},{4,6},{3}]=>[1,5,2,4,6,3]
[1,3,5,4,4,1]=>[{1,6},{2},{4,5},{3}]=>[1,6,2,4,5,3]
[1,4,1,3,4,5]=>[{1,3},{4},{2,5},{6}]=>[1,3,4,2,5,6]
[1,4,1,3,5,4]=>[{1,3},{4},{2,6},{5}]=>[1,3,4,2,6,5]
[1,4,1,4,3,5]=>[{1,3},{5},{2,4},{6}]=>[1,3,5,2,4,6]
[1,4,1,4,5,3]=>[{1,3},{6},{2,4},{5}]=>[1,3,6,2,4,5]
[1,4,1,5,3,4]=>[{1,3},{5},{2,6},{4}]=>[1,3,5,2,6,4]
[1,4,1,5,4,3]=>[{1,3},{6},{2,5},{4}]=>[1,3,6,2,5,4]
[1,4,3,1,4,5]=>[{1,4},{3},{2,5},{6}]=>[1,4,3,2,5,6]
[1,4,3,1,5,4]=>[{1,4},{3},{2,6},{5}]=>[1,4,3,2,6,5]
[1,4,3,4,1,5]=>[{1,5},{3},{2,4},{6}]=>[1,5,3,2,4,6]
[1,4,3,4,5,1]=>[{1,6},{3},{2,4},{5}]=>[1,6,3,2,4,5]
[1,4,3,5,1,4]=>[{1,5},{3},{2,6},{4}]=>[1,5,3,2,6,4]
[1,4,3,5,4,1]=>[{1,6},{3},{2,5},{4}]=>[1,6,3,2,5,4]
[1,4,4,1,3,5]=>[{1,4},{5},{2,3},{6}]=>[1,4,5,2,3,6]
[1,4,4,1,5,3]=>[{1,4},{6},{2,3},{5}]=>[1,4,6,2,3,5]
[1,4,4,3,1,5]=>[{1,5},{4},{2,3},{6}]=>[1,5,4,2,3,6]
[1,4,4,3,5,1]=>[{1,6},{4},{2,3},{5}]=>[1,6,4,2,3,5]
[1,4,4,5,1,3]=>[{1,5},{6},{2,3},{4}]=>[1,5,6,2,3,4]
[1,4,4,5,3,1]=>[{1,6},{5},{2,3},{4}]=>[1,6,5,2,3,4]
[1,4,5,1,3,4]=>[{1,4},{5},{2,6},{3}]=>[1,4,5,2,6,3]
[1,4,5,1,4,3]=>[{1,4},{6},{2,5},{3}]=>[1,4,6,2,5,3]
[1,4,5,3,1,4]=>[{1,5},{4},{2,6},{3}]=>[1,5,4,2,6,3]
[1,4,5,3,4,1]=>[{1,6},{4},{2,5},{3}]=>[1,6,4,2,5,3]
[1,4,5,4,1,3]=>[{1,5},{6},{2,4},{3}]=>[1,5,6,2,4,3]
[1,4,5,4,3,1]=>[{1,6},{5},{2,4},{3}]=>[1,6,5,2,4,3]
[1,5,1,3,4,4]=>[{1,3},{4},{5,6},{2}]=>[1,3,4,5,6,2]
[1,5,1,4,3,4]=>[{1,3},{5},{4,6},{2}]=>[1,3,5,4,6,2]
[1,5,1,4,4,3]=>[{1,3},{6},{4,5},{2}]=>[1,3,6,4,5,2]
[1,5,3,1,4,4]=>[{1,4},{3},{5,6},{2}]=>[1,4,3,5,6,2]
[1,5,3,4,1,4]=>[{1,5},{3},{4,6},{2}]=>[1,5,3,4,6,2]
[1,5,3,4,4,1]=>[{1,6},{3},{4,5},{2}]=>[1,6,3,4,5,2]
[1,5,4,1,3,4]=>[{1,4},{5},{3,6},{2}]=>[1,4,5,3,6,2]
[1,5,4,1,4,3]=>[{1,4},{6},{3,5},{2}]=>[1,4,6,3,5,2]
[1,5,4,3,1,4]=>[{1,5},{4},{3,6},{2}]=>[1,5,4,3,6,2]
[1,5,4,3,4,1]=>[{1,6},{4},{3,5},{2}]=>[1,6,4,3,5,2]
[1,5,4,4,1,3]=>[{1,5},{6},{3,4},{2}]=>[1,5,6,3,4,2]
[1,5,4,4,3,1]=>[{1,6},{5},{3,4},{2}]=>[1,6,5,3,4,2]
[3,1,1,4,4,5]=>[{2,3},{1},{4,5},{6}]=>[2,3,1,4,5,6]
[3,1,1,4,5,4]=>[{2,3},{1},{4,6},{5}]=>[2,3,1,4,6,5]
[3,1,1,5,4,4]=>[{2,3},{1},{5,6},{4}]=>[2,3,1,5,6,4]
[3,1,4,1,4,5]=>[{2,4},{1},{3,5},{6}]=>[2,4,1,3,5,6]
[3,1,4,1,5,4]=>[{2,4},{1},{3,6},{5}]=>[2,4,1,3,6,5]
[3,1,4,4,1,5]=>[{2,5},{1},{3,4},{6}]=>[2,5,1,3,4,6]
[3,1,4,4,5,1]=>[{2,6},{1},{3,4},{5}]=>[2,6,1,3,4,5]
[3,1,4,5,1,4]=>[{2,5},{1},{3,6},{4}]=>[2,5,1,3,6,4]
[3,1,4,5,4,1]=>[{2,6},{1},{3,5},{4}]=>[2,6,1,3,5,4]
[3,1,5,1,4,4]=>[{2,4},{1},{5,6},{3}]=>[2,4,1,5,6,3]
[3,1,5,4,1,4]=>[{2,5},{1},{4,6},{3}]=>[2,5,1,4,6,3]
[3,1,5,4,4,1]=>[{2,6},{1},{4,5},{3}]=>[2,6,1,4,5,3]
[3,4,1,1,4,5]=>[{3,4},{1},{2,5},{6}]=>[3,4,1,2,5,6]
[3,4,1,1,5,4]=>[{3,4},{1},{2,6},{5}]=>[3,4,1,2,6,5]
[3,4,1,4,1,5]=>[{3,5},{1},{2,4},{6}]=>[3,5,1,2,4,6]
[3,4,1,4,5,1]=>[{3,6},{1},{2,4},{5}]=>[3,6,1,2,4,5]
[3,4,1,5,1,4]=>[{3,5},{1},{2,6},{4}]=>[3,5,1,2,6,4]
[3,4,1,5,4,1]=>[{3,6},{1},{2,5},{4}]=>[3,6,1,2,5,4]
[3,4,4,1,1,5]=>[{4,5},{1},{2,3},{6}]=>[4,5,1,2,3,6]
[3,4,4,1,5,1]=>[{4,6},{1},{2,3},{5}]=>[4,6,1,2,3,5]
[3,4,4,5,1,1]=>[{5,6},{1},{2,3},{4}]=>[5,6,1,2,3,4]
[3,4,5,1,1,4]=>[{4,5},{1},{2,6},{3}]=>[4,5,1,2,6,3]
[3,4,5,1,4,1]=>[{4,6},{1},{2,5},{3}]=>[4,6,1,2,5,3]
[3,4,5,4,1,1]=>[{5,6},{1},{2,4},{3}]=>[5,6,1,2,4,3]
[3,5,1,1,4,4]=>[{3,4},{1},{5,6},{2}]=>[3,4,1,5,6,2]
[3,5,1,4,1,4]=>[{3,5},{1},{4,6},{2}]=>[3,5,1,4,6,2]
[3,5,1,4,4,1]=>[{3,6},{1},{4,5},{2}]=>[3,6,1,4,5,2]
[3,5,4,1,1,4]=>[{4,5},{1},{3,6},{2}]=>[4,5,1,3,6,2]
[3,5,4,1,4,1]=>[{4,6},{1},{3,5},{2}]=>[4,6,1,3,5,2]
[3,5,4,4,1,1]=>[{5,6},{1},{3,4},{2}]=>[5,6,1,3,4,2]
[4,1,1,3,4,5]=>[{2,3},{4},{1,5},{6}]=>[2,3,4,1,5,6]
[4,1,1,3,5,4]=>[{2,3},{4},{1,6},{5}]=>[2,3,4,1,6,5]
[4,1,1,4,3,5]=>[{2,3},{5},{1,4},{6}]=>[2,3,5,1,4,6]
[4,1,1,4,5,3]=>[{2,3},{6},{1,4},{5}]=>[2,3,6,1,4,5]
[4,1,1,5,3,4]=>[{2,3},{5},{1,6},{4}]=>[2,3,5,1,6,4]
[4,1,1,5,4,3]=>[{2,3},{6},{1,5},{4}]=>[2,3,6,1,5,4]
[4,1,3,1,4,5]=>[{2,4},{3},{1,5},{6}]=>[2,4,3,1,5,6]
[4,1,3,1,5,4]=>[{2,4},{3},{1,6},{5}]=>[2,4,3,1,6,5]
[4,1,3,4,1,5]=>[{2,5},{3},{1,4},{6}]=>[2,5,3,1,4,6]
[4,1,3,4,5,1]=>[{2,6},{3},{1,4},{5}]=>[2,6,3,1,4,5]
[4,1,3,5,1,4]=>[{2,5},{3},{1,6},{4}]=>[2,5,3,1,6,4]
[4,1,3,5,4,1]=>[{2,6},{3},{1,5},{4}]=>[2,6,3,1,5,4]
[4,1,4,1,3,5]=>[{2,4},{5},{1,3},{6}]=>[2,4,5,1,3,6]
[4,1,4,1,5,3]=>[{2,4},{6},{1,3},{5}]=>[2,4,6,1,3,5]
[4,1,4,3,1,5]=>[{2,5},{4},{1,3},{6}]=>[2,5,4,1,3,6]
[4,1,4,3,5,1]=>[{2,6},{4},{1,3},{5}]=>[2,6,4,1,3,5]
[4,1,4,5,1,3]=>[{2,5},{6},{1,3},{4}]=>[2,5,6,1,3,4]
[4,1,4,5,3,1]=>[{2,6},{5},{1,3},{4}]=>[2,6,5,1,3,4]
[4,1,5,1,3,4]=>[{2,4},{5},{1,6},{3}]=>[2,4,5,1,6,3]
[4,1,5,1,4,3]=>[{2,4},{6},{1,5},{3}]=>[2,4,6,1,5,3]
[4,1,5,3,1,4]=>[{2,5},{4},{1,6},{3}]=>[2,5,4,1,6,3]
[4,1,5,3,4,1]=>[{2,6},{4},{1,5},{3}]=>[2,6,4,1,5,3]
[4,1,5,4,1,3]=>[{2,5},{6},{1,4},{3}]=>[2,5,6,1,4,3]
[4,1,5,4,3,1]=>[{2,6},{5},{1,4},{3}]=>[2,6,5,1,4,3]
[4,3,1,1,4,5]=>[{3,4},{2},{1,5},{6}]=>[3,4,2,1,5,6]
[4,3,1,1,5,4]=>[{3,4},{2},{1,6},{5}]=>[3,4,2,1,6,5]
[4,3,1,4,1,5]=>[{3,5},{2},{1,4},{6}]=>[3,5,2,1,4,6]
[4,3,1,4,5,1]=>[{3,6},{2},{1,4},{5}]=>[3,6,2,1,4,5]
[4,3,1,5,1,4]=>[{3,5},{2},{1,6},{4}]=>[3,5,2,1,6,4]
[4,3,1,5,4,1]=>[{3,6},{2},{1,5},{4}]=>[3,6,2,1,5,4]
[4,3,4,1,1,5]=>[{4,5},{2},{1,3},{6}]=>[4,5,2,1,3,6]
[4,3,4,1,5,1]=>[{4,6},{2},{1,3},{5}]=>[4,6,2,1,3,5]
[4,3,4,5,1,1]=>[{5,6},{2},{1,3},{4}]=>[5,6,2,1,3,4]
[4,3,5,1,1,4]=>[{4,5},{2},{1,6},{3}]=>[4,5,2,1,6,3]
[4,3,5,1,4,1]=>[{4,6},{2},{1,5},{3}]=>[4,6,2,1,5,3]
[4,3,5,4,1,1]=>[{5,6},{2},{1,4},{3}]=>[5,6,2,1,4,3]
[4,4,1,1,3,5]=>[{3,4},{5},{1,2},{6}]=>[3,4,5,1,2,6]
[4,4,1,1,5,3]=>[{3,4},{6},{1,2},{5}]=>[3,4,6,1,2,5]
[4,4,1,3,1,5]=>[{3,5},{4},{1,2},{6}]=>[3,5,4,1,2,6]
[4,4,1,3,5,1]=>[{3,6},{4},{1,2},{5}]=>[3,6,4,1,2,5]
[4,4,1,5,1,3]=>[{3,5},{6},{1,2},{4}]=>[3,5,6,1,2,4]
[4,4,1,5,3,1]=>[{3,6},{5},{1,2},{4}]=>[3,6,5,1,2,4]
[4,4,3,1,1,5]=>[{4,5},{3},{1,2},{6}]=>[4,5,3,1,2,6]
[4,4,3,1,5,1]=>[{4,6},{3},{1,2},{5}]=>[4,6,3,1,2,5]
[4,4,3,5,1,1]=>[{5,6},{3},{1,2},{4}]=>[5,6,3,1,2,4]
[4,4,5,1,1,3]=>[{4,5},{6},{1,2},{3}]=>[4,5,6,1,2,3]
[4,4,5,1,3,1]=>[{4,6},{5},{1,2},{3}]=>[4,6,5,1,2,3]
[4,4,5,3,1,1]=>[{5,6},{4},{1,2},{3}]=>[5,6,4,1,2,3]
[4,5,1,1,3,4]=>[{3,4},{5},{1,6},{2}]=>[3,4,5,1,6,2]
[4,5,1,1,4,3]=>[{3,4},{6},{1,5},{2}]=>[3,4,6,1,5,2]
[4,5,1,3,1,4]=>[{3,5},{4},{1,6},{2}]=>[3,5,4,1,6,2]
[4,5,1,3,4,1]=>[{3,6},{4},{1,5},{2}]=>[3,6,4,1,5,2]
[4,5,1,4,1,3]=>[{3,5},{6},{1,4},{2}]=>[3,5,6,1,4,2]
[4,5,1,4,3,1]=>[{3,6},{5},{1,4},{2}]=>[3,6,5,1,4,2]
[4,5,3,1,1,4]=>[{4,5},{3},{1,6},{2}]=>[4,5,3,1,6,2]
[4,5,3,1,4,1]=>[{4,6},{3},{1,5},{2}]=>[4,6,3,1,5,2]
[4,5,3,4,1,1]=>[{5,6},{3},{1,4},{2}]=>[5,6,3,1,4,2]
[4,5,4,1,1,3]=>[{4,5},{6},{1,3},{2}]=>[4,5,6,1,3,2]
[4,5,4,1,3,1]=>[{4,6},{5},{1,3},{2}]=>[4,6,5,1,3,2]
[4,5,4,3,1,1]=>[{5,6},{4},{1,3},{2}]=>[5,6,4,1,3,2]
[5,1,1,3,4,4]=>[{2,3},{4},{5,6},{1}]=>[2,3,4,5,6,1]
[5,1,1,4,3,4]=>[{2,3},{5},{4,6},{1}]=>[2,3,5,4,6,1]
[5,1,1,4,4,3]=>[{2,3},{6},{4,5},{1}]=>[2,3,6,4,5,1]
[5,1,3,1,4,4]=>[{2,4},{3},{5,6},{1}]=>[2,4,3,5,6,1]
[5,1,3,4,1,4]=>[{2,5},{3},{4,6},{1}]=>[2,5,3,4,6,1]
[5,1,3,4,4,1]=>[{2,6},{3},{4,5},{1}]=>[2,6,3,4,5,1]
[5,1,4,1,3,4]=>[{2,4},{5},{3,6},{1}]=>[2,4,5,3,6,1]
[5,1,4,1,4,3]=>[{2,4},{6},{3,5},{1}]=>[2,4,6,3,5,1]
[5,1,4,3,1,4]=>[{2,5},{4},{3,6},{1}]=>[2,5,4,3,6,1]
[5,1,4,3,4,1]=>[{2,6},{4},{3,5},{1}]=>[2,6,4,3,5,1]
[5,1,4,4,1,3]=>[{2,5},{6},{3,4},{1}]=>[2,5,6,3,4,1]
[5,1,4,4,3,1]=>[{2,6},{5},{3,4},{1}]=>[2,6,5,3,4,1]
[5,3,1,1,4,4]=>[{3,4},{2},{5,6},{1}]=>[3,4,2,5,6,1]
[5,3,1,4,1,4]=>[{3,5},{2},{4,6},{1}]=>[3,5,2,4,6,1]
[5,3,1,4,4,1]=>[{3,6},{2},{4,5},{1}]=>[3,6,2,4,5,1]
[5,3,4,1,1,4]=>[{4,5},{2},{3,6},{1}]=>[4,5,2,3,6,1]
[5,3,4,1,4,1]=>[{4,6},{2},{3,5},{1}]=>[4,6,2,3,5,1]
[5,3,4,4,1,1]=>[{5,6},{2},{3,4},{1}]=>[5,6,2,3,4,1]
[5,4,1,1,3,4]=>[{3,4},{5},{2,6},{1}]=>[3,4,5,2,6,1]
[5,4,1,1,4,3]=>[{3,4},{6},{2,5},{1}]=>[3,4,6,2,5,1]
[5,4,1,3,1,4]=>[{3,5},{4},{2,6},{1}]=>[3,5,4,2,6,1]
[5,4,1,3,4,1]=>[{3,6},{4},{2,5},{1}]=>[3,6,4,2,5,1]
[5,4,1,4,1,3]=>[{3,5},{6},{2,4},{1}]=>[3,5,6,2,4,1]
[5,4,1,4,3,1]=>[{3,6},{5},{2,4},{1}]=>[3,6,5,2,4,1]
[5,4,3,1,1,4]=>[{4,5},{3},{2,6},{1}]=>[4,5,3,2,6,1]
[5,4,3,1,4,1]=>[{4,6},{3},{2,5},{1}]=>[4,6,3,2,5,1]
[5,4,3,4,1,1]=>[{5,6},{3},{2,4},{1}]=>[5,6,3,2,4,1]
[5,4,4,1,1,3]=>[{4,5},{6},{2,3},{1}]=>[4,5,6,2,3,1]
[5,4,4,1,3,1]=>[{4,6},{5},{2,3},{1}]=>[4,6,5,2,3,1]
[5,4,4,3,1,1]=>[{5,6},{4},{2,3},{1}]=>[5,6,4,2,3,1]
[1,1,3,4,4,6]=>[{1,2},{3},{4,5},{6}]=>[1,2,3,4,5,6]
[1,1,3,4,6,4]=>[{1,2},{3},{4,6},{5}]=>[1,2,3,4,6,5]
[1,1,3,6,4,4]=>[{1,2},{3},{5,6},{4}]=>[1,2,3,5,6,4]
[1,1,4,3,4,6]=>[{1,2},{4},{3,5},{6}]=>[1,2,4,3,5,6]
[1,1,4,3,6,4]=>[{1,2},{4},{3,6},{5}]=>[1,2,4,3,6,5]
[1,1,4,4,3,6]=>[{1,2},{5},{3,4},{6}]=>[1,2,5,3,4,6]
[1,1,4,4,6,3]=>[{1,2},{6},{3,4},{5}]=>[1,2,6,3,4,5]
[1,1,4,6,3,4]=>[{1,2},{5},{3,6},{4}]=>[1,2,5,3,6,4]
[1,1,4,6,4,3]=>[{1,2},{6},{3,5},{4}]=>[1,2,6,3,5,4]
[1,1,6,3,4,4]=>[{1,2},{4},{5,6},{3}]=>[1,2,4,5,6,3]
[1,1,6,4,3,4]=>[{1,2},{5},{4,6},{3}]=>[1,2,5,4,6,3]
[1,1,6,4,4,3]=>[{1,2},{6},{4,5},{3}]=>[1,2,6,4,5,3]
[1,3,1,4,4,6]=>[{1,3},{2},{4,5},{6}]=>[1,3,2,4,5,6]
[1,3,1,4,6,4]=>[{1,3},{2},{4,6},{5}]=>[1,3,2,4,6,5]
[1,3,1,6,4,4]=>[{1,3},{2},{5,6},{4}]=>[1,3,2,5,6,4]
[1,3,4,1,4,6]=>[{1,4},{2},{3,5},{6}]=>[1,4,2,3,5,6]
[1,3,4,1,6,4]=>[{1,4},{2},{3,6},{5}]=>[1,4,2,3,6,5]
[1,3,4,4,1,6]=>[{1,5},{2},{3,4},{6}]=>[1,5,2,3,4,6]
[1,3,4,4,6,1]=>[{1,6},{2},{3,4},{5}]=>[1,6,2,3,4,5]
[1,3,4,6,1,4]=>[{1,5},{2},{3,6},{4}]=>[1,5,2,3,6,4]
[1,3,4,6,4,1]=>[{1,6},{2},{3,5},{4}]=>[1,6,2,3,5,4]
[1,3,6,1,4,4]=>[{1,4},{2},{5,6},{3}]=>[1,4,2,5,6,3]
[1,3,6,4,1,4]=>[{1,5},{2},{4,6},{3}]=>[1,5,2,4,6,3]
[1,3,6,4,4,1]=>[{1,6},{2},{4,5},{3}]=>[1,6,2,4,5,3]
[1,4,1,3,4,6]=>[{1,3},{4},{2,5},{6}]=>[1,3,4,2,5,6]
[1,4,1,3,6,4]=>[{1,3},{4},{2,6},{5}]=>[1,3,4,2,6,5]
[1,4,1,4,3,6]=>[{1,3},{5},{2,4},{6}]=>[1,3,5,2,4,6]
[1,4,1,4,6,3]=>[{1,3},{6},{2,4},{5}]=>[1,3,6,2,4,5]
[1,4,1,6,3,4]=>[{1,3},{5},{2,6},{4}]=>[1,3,5,2,6,4]
[1,4,1,6,4,3]=>[{1,3},{6},{2,5},{4}]=>[1,3,6,2,5,4]
[1,4,3,1,4,6]=>[{1,4},{3},{2,5},{6}]=>[1,4,3,2,5,6]
[1,4,3,1,6,4]=>[{1,4},{3},{2,6},{5}]=>[1,4,3,2,6,5]
[1,4,3,4,1,6]=>[{1,5},{3},{2,4},{6}]=>[1,5,3,2,4,6]
[1,4,3,4,6,1]=>[{1,6},{3},{2,4},{5}]=>[1,6,3,2,4,5]
[1,4,3,6,1,4]=>[{1,5},{3},{2,6},{4}]=>[1,5,3,2,6,4]
[1,4,3,6,4,1]=>[{1,6},{3},{2,5},{4}]=>[1,6,3,2,5,4]
[1,4,4,1,3,6]=>[{1,4},{5},{2,3},{6}]=>[1,4,5,2,3,6]
[1,4,4,1,6,3]=>[{1,4},{6},{2,3},{5}]=>[1,4,6,2,3,5]
[1,4,4,3,1,6]=>[{1,5},{4},{2,3},{6}]=>[1,5,4,2,3,6]
[1,4,4,3,6,1]=>[{1,6},{4},{2,3},{5}]=>[1,6,4,2,3,5]
[1,4,4,6,1,3]=>[{1,5},{6},{2,3},{4}]=>[1,5,6,2,3,4]
[1,4,4,6,3,1]=>[{1,6},{5},{2,3},{4}]=>[1,6,5,2,3,4]
[1,4,6,1,3,4]=>[{1,4},{5},{2,6},{3}]=>[1,4,5,2,6,3]
[1,4,6,1,4,3]=>[{1,4},{6},{2,5},{3}]=>[1,4,6,2,5,3]
[1,4,6,3,1,4]=>[{1,5},{4},{2,6},{3}]=>[1,5,4,2,6,3]
[1,4,6,3,4,1]=>[{1,6},{4},{2,5},{3}]=>[1,6,4,2,5,3]
[1,4,6,4,1,3]=>[{1,5},{6},{2,4},{3}]=>[1,5,6,2,4,3]
[1,4,6,4,3,1]=>[{1,6},{5},{2,4},{3}]=>[1,6,5,2,4,3]
[1,6,1,3,4,4]=>[{1,3},{4},{5,6},{2}]=>[1,3,4,5,6,2]
[1,6,1,4,3,4]=>[{1,3},{5},{4,6},{2}]=>[1,3,5,4,6,2]
[1,6,1,4,4,3]=>[{1,3},{6},{4,5},{2}]=>[1,3,6,4,5,2]
[1,6,3,1,4,4]=>[{1,4},{3},{5,6},{2}]=>[1,4,3,5,6,2]
[1,6,3,4,1,4]=>[{1,5},{3},{4,6},{2}]=>[1,5,3,4,6,2]
[1,6,3,4,4,1]=>[{1,6},{3},{4,5},{2}]=>[1,6,3,4,5,2]
[1,6,4,1,3,4]=>[{1,4},{5},{3,6},{2}]=>[1,4,5,3,6,2]
[1,6,4,1,4,3]=>[{1,4},{6},{3,5},{2}]=>[1,4,6,3,5,2]
[1,6,4,3,1,4]=>[{1,5},{4},{3,6},{2}]=>[1,5,4,3,6,2]
[1,6,4,3,4,1]=>[{1,6},{4},{3,5},{2}]=>[1,6,4,3,5,2]
[1,6,4,4,1,3]=>[{1,5},{6},{3,4},{2}]=>[1,5,6,3,4,2]
[1,6,4,4,3,1]=>[{1,6},{5},{3,4},{2}]=>[1,6,5,3,4,2]
[3,1,1,4,4,6]=>[{2,3},{1},{4,5},{6}]=>[2,3,1,4,5,6]
[3,1,1,4,6,4]=>[{2,3},{1},{4,6},{5}]=>[2,3,1,4,6,5]
[3,1,1,6,4,4]=>[{2,3},{1},{5,6},{4}]=>[2,3,1,5,6,4]
[3,1,4,1,4,6]=>[{2,4},{1},{3,5},{6}]=>[2,4,1,3,5,6]
[3,1,4,1,6,4]=>[{2,4},{1},{3,6},{5}]=>[2,4,1,3,6,5]
[3,1,4,4,1,6]=>[{2,5},{1},{3,4},{6}]=>[2,5,1,3,4,6]
[3,1,4,4,6,1]=>[{2,6},{1},{3,4},{5}]=>[2,6,1,3,4,5]
[3,1,4,6,1,4]=>[{2,5},{1},{3,6},{4}]=>[2,5,1,3,6,4]
[3,1,4,6,4,1]=>[{2,6},{1},{3,5},{4}]=>[2,6,1,3,5,4]
[3,1,6,1,4,4]=>[{2,4},{1},{5,6},{3}]=>[2,4,1,5,6,3]
[3,1,6,4,1,4]=>[{2,5},{1},{4,6},{3}]=>[2,5,1,4,6,3]
[3,1,6,4,4,1]=>[{2,6},{1},{4,5},{3}]=>[2,6,1,4,5,3]
[3,4,1,1,4,6]=>[{3,4},{1},{2,5},{6}]=>[3,4,1,2,5,6]
[3,4,1,1,6,4]=>[{3,4},{1},{2,6},{5}]=>[3,4,1,2,6,5]
[3,4,1,4,1,6]=>[{3,5},{1},{2,4},{6}]=>[3,5,1,2,4,6]
[3,4,1,4,6,1]=>[{3,6},{1},{2,4},{5}]=>[3,6,1,2,4,5]
[3,4,1,6,1,4]=>[{3,5},{1},{2,6},{4}]=>[3,5,1,2,6,4]
[3,4,1,6,4,1]=>[{3,6},{1},{2,5},{4}]=>[3,6,1,2,5,4]
[3,4,4,1,1,6]=>[{4,5},{1},{2,3},{6}]=>[4,5,1,2,3,6]
[3,4,4,1,6,1]=>[{4,6},{1},{2,3},{5}]=>[4,6,1,2,3,5]
[3,4,4,6,1,1]=>[{5,6},{1},{2,3},{4}]=>[5,6,1,2,3,4]
[3,4,6,1,1,4]=>[{4,5},{1},{2,6},{3}]=>[4,5,1,2,6,3]
[3,4,6,1,4,1]=>[{4,6},{1},{2,5},{3}]=>[4,6,1,2,5,3]
[3,4,6,4,1,1]=>[{5,6},{1},{2,4},{3}]=>[5,6,1,2,4,3]
[3,6,1,1,4,4]=>[{3,4},{1},{5,6},{2}]=>[3,4,1,5,6,2]
[3,6,1,4,1,4]=>[{3,5},{1},{4,6},{2}]=>[3,5,1,4,6,2]
[3,6,1,4,4,1]=>[{3,6},{1},{4,5},{2}]=>[3,6,1,4,5,2]
[3,6,4,1,1,4]=>[{4,5},{1},{3,6},{2}]=>[4,5,1,3,6,2]
[3,6,4,1,4,1]=>[{4,6},{1},{3,5},{2}]=>[4,6,1,3,5,2]
[3,6,4,4,1,1]=>[{5,6},{1},{3,4},{2}]=>[5,6,1,3,4,2]
[4,1,1,3,4,6]=>[{2,3},{4},{1,5},{6}]=>[2,3,4,1,5,6]
[4,1,1,3,6,4]=>[{2,3},{4},{1,6},{5}]=>[2,3,4,1,6,5]
[4,1,1,4,3,6]=>[{2,3},{5},{1,4},{6}]=>[2,3,5,1,4,6]
[4,1,1,4,6,3]=>[{2,3},{6},{1,4},{5}]=>[2,3,6,1,4,5]
[4,1,1,6,3,4]=>[{2,3},{5},{1,6},{4}]=>[2,3,5,1,6,4]
[4,1,1,6,4,3]=>[{2,3},{6},{1,5},{4}]=>[2,3,6,1,5,4]
[4,1,3,1,4,6]=>[{2,4},{3},{1,5},{6}]=>[2,4,3,1,5,6]
[4,1,3,1,6,4]=>[{2,4},{3},{1,6},{5}]=>[2,4,3,1,6,5]
[4,1,3,4,1,6]=>[{2,5},{3},{1,4},{6}]=>[2,5,3,1,4,6]
[4,1,3,4,6,1]=>[{2,6},{3},{1,4},{5}]=>[2,6,3,1,4,5]
[4,1,3,6,1,4]=>[{2,5},{3},{1,6},{4}]=>[2,5,3,1,6,4]
[4,1,3,6,4,1]=>[{2,6},{3},{1,5},{4}]=>[2,6,3,1,5,4]
[4,1,4,1,3,6]=>[{2,4},{5},{1,3},{6}]=>[2,4,5,1,3,6]
[4,1,4,1,6,3]=>[{2,4},{6},{1,3},{5}]=>[2,4,6,1,3,5]
[4,1,4,3,1,6]=>[{2,5},{4},{1,3},{6}]=>[2,5,4,1,3,6]
[4,1,4,3,6,1]=>[{2,6},{4},{1,3},{5}]=>[2,6,4,1,3,5]
[4,1,4,6,1,3]=>[{2,5},{6},{1,3},{4}]=>[2,5,6,1,3,4]
[4,1,4,6,3,1]=>[{2,6},{5},{1,3},{4}]=>[2,6,5,1,3,4]
[4,1,6,1,3,4]=>[{2,4},{5},{1,6},{3}]=>[2,4,5,1,6,3]
[4,1,6,1,4,3]=>[{2,4},{6},{1,5},{3}]=>[2,4,6,1,5,3]
[4,1,6,3,1,4]=>[{2,5},{4},{1,6},{3}]=>[2,5,4,1,6,3]
[4,1,6,3,4,1]=>[{2,6},{4},{1,5},{3}]=>[2,6,4,1,5,3]
[4,1,6,4,1,3]=>[{2,5},{6},{1,4},{3}]=>[2,5,6,1,4,3]
[4,1,6,4,3,1]=>[{2,6},{5},{1,4},{3}]=>[2,6,5,1,4,3]
[4,3,1,1,4,6]=>[{3,4},{2},{1,5},{6}]=>[3,4,2,1,5,6]
[4,3,1,1,6,4]=>[{3,4},{2},{1,6},{5}]=>[3,4,2,1,6,5]
[4,3,1,4,1,6]=>[{3,5},{2},{1,4},{6}]=>[3,5,2,1,4,6]
[4,3,1,4,6,1]=>[{3,6},{2},{1,4},{5}]=>[3,6,2,1,4,5]
[4,3,1,6,1,4]=>[{3,5},{2},{1,6},{4}]=>[3,5,2,1,6,4]
[4,3,1,6,4,1]=>[{3,6},{2},{1,5},{4}]=>[3,6,2,1,5,4]
[4,3,4,1,1,6]=>[{4,5},{2},{1,3},{6}]=>[4,5,2,1,3,6]
[4,3,4,1,6,1]=>[{4,6},{2},{1,3},{5}]=>[4,6,2,1,3,5]
[4,3,4,6,1,1]=>[{5,6},{2},{1,3},{4}]=>[5,6,2,1,3,4]
[4,3,6,1,1,4]=>[{4,5},{2},{1,6},{3}]=>[4,5,2,1,6,3]
[4,3,6,1,4,1]=>[{4,6},{2},{1,5},{3}]=>[4,6,2,1,5,3]
[4,3,6,4,1,1]=>[{5,6},{2},{1,4},{3}]=>[5,6,2,1,4,3]
[4,4,1,1,3,6]=>[{3,4},{5},{1,2},{6}]=>[3,4,5,1,2,6]
[4,4,1,1,6,3]=>[{3,4},{6},{1,2},{5}]=>[3,4,6,1,2,5]
[4,4,1,3,1,6]=>[{3,5},{4},{1,2},{6}]=>[3,5,4,1,2,6]
[4,4,1,3,6,1]=>[{3,6},{4},{1,2},{5}]=>[3,6,4,1,2,5]
[4,4,1,6,1,3]=>[{3,5},{6},{1,2},{4}]=>[3,5,6,1,2,4]
[4,4,1,6,3,1]=>[{3,6},{5},{1,2},{4}]=>[3,6,5,1,2,4]
[4,4,3,1,1,6]=>[{4,5},{3},{1,2},{6}]=>[4,5,3,1,2,6]
[4,4,3,1,6,1]=>[{4,6},{3},{1,2},{5}]=>[4,6,3,1,2,5]
[4,4,3,6,1,1]=>[{5,6},{3},{1,2},{4}]=>[5,6,3,1,2,4]
[4,4,6,1,1,3]=>[{4,5},{6},{1,2},{3}]=>[4,5,6,1,2,3]
[4,4,6,1,3,1]=>[{4,6},{5},{1,2},{3}]=>[4,6,5,1,2,3]
[4,4,6,3,1,1]=>[{5,6},{4},{1,2},{3}]=>[5,6,4,1,2,3]
[4,6,1,1,3,4]=>[{3,4},{5},{1,6},{2}]=>[3,4,5,1,6,2]
[4,6,1,1,4,3]=>[{3,4},{6},{1,5},{2}]=>[3,4,6,1,5,2]
[4,6,1,3,1,4]=>[{3,5},{4},{1,6},{2}]=>[3,5,4,1,6,2]
[4,6,1,3,4,1]=>[{3,6},{4},{1,5},{2}]=>[3,6,4,1,5,2]
[4,6,1,4,1,3]=>[{3,5},{6},{1,4},{2}]=>[3,5,6,1,4,2]
[4,6,1,4,3,1]=>[{3,6},{5},{1,4},{2}]=>[3,6,5,1,4,2]
[4,6,3,1,1,4]=>[{4,5},{3},{1,6},{2}]=>[4,5,3,1,6,2]
[4,6,3,1,4,1]=>[{4,6},{3},{1,5},{2}]=>[4,6,3,1,5,2]
[4,6,3,4,1,1]=>[{5,6},{3},{1,4},{2}]=>[5,6,3,1,4,2]
[4,6,4,1,1,3]=>[{4,5},{6},{1,3},{2}]=>[4,5,6,1,3,2]
[4,6,4,1,3,1]=>[{4,6},{5},{1,3},{2}]=>[4,6,5,1,3,2]
[4,6,4,3,1,1]=>[{5,6},{4},{1,3},{2}]=>[5,6,4,1,3,2]
[6,1,1,3,4,4]=>[{2,3},{4},{5,6},{1}]=>[2,3,4,5,6,1]
[6,1,1,4,3,4]=>[{2,3},{5},{4,6},{1}]=>[2,3,5,4,6,1]
[6,1,1,4,4,3]=>[{2,3},{6},{4,5},{1}]=>[2,3,6,4,5,1]
[6,1,3,1,4,4]=>[{2,4},{3},{5,6},{1}]=>[2,4,3,5,6,1]
[6,1,3,4,1,4]=>[{2,5},{3},{4,6},{1}]=>[2,5,3,4,6,1]
[6,1,3,4,4,1]=>[{2,6},{3},{4,5},{1}]=>[2,6,3,4,5,1]
[6,1,4,1,3,4]=>[{2,4},{5},{3,6},{1}]=>[2,4,5,3,6,1]
[6,1,4,1,4,3]=>[{2,4},{6},{3,5},{1}]=>[2,4,6,3,5,1]
[6,1,4,3,1,4]=>[{2,5},{4},{3,6},{1}]=>[2,5,4,3,6,1]
[6,1,4,3,4,1]=>[{2,6},{4},{3,5},{1}]=>[2,6,4,3,5,1]
[6,1,4,4,1,3]=>[{2,5},{6},{3,4},{1}]=>[2,5,6,3,4,1]
[6,1,4,4,3,1]=>[{2,6},{5},{3,4},{1}]=>[2,6,5,3,4,1]
[6,3,1,1,4,4]=>[{3,4},{2},{5,6},{1}]=>[3,4,2,5,6,1]
[6,3,1,4,1,4]=>[{3,5},{2},{4,6},{1}]=>[3,5,2,4,6,1]
[6,3,1,4,4,1]=>[{3,6},{2},{4,5},{1}]=>[3,6,2,4,5,1]
[6,3,4,1,1,4]=>[{4,5},{2},{3,6},{1}]=>[4,5,2,3,6,1]
[6,3,4,1,4,1]=>[{4,6},{2},{3,5},{1}]=>[4,6,2,3,5,1]
[6,3,4,4,1,1]=>[{5,6},{2},{3,4},{1}]=>[5,6,2,3,4,1]
[6,4,1,1,3,4]=>[{3,4},{5},{2,6},{1}]=>[3,4,5,2,6,1]
[6,4,1,1,4,3]=>[{3,4},{6},{2,5},{1}]=>[3,4,6,2,5,1]
[6,4,1,3,1,4]=>[{3,5},{4},{2,6},{1}]=>[3,5,4,2,6,1]
[6,4,1,3,4,1]=>[{3,6},{4},{2,5},{1}]=>[3,6,4,2,5,1]
[6,4,1,4,1,3]=>[{3,5},{6},{2,4},{1}]=>[3,5,6,2,4,1]
[6,4,1,4,3,1]=>[{3,6},{5},{2,4},{1}]=>[3,6,5,2,4,1]
[6,4,3,1,1,4]=>[{4,5},{3},{2,6},{1}]=>[4,5,3,2,6,1]
[6,4,3,1,4,1]=>[{4,6},{3},{2,5},{1}]=>[4,6,3,2,5,1]
[6,4,3,4,1,1]=>[{5,6},{3},{2,4},{1}]=>[5,6,3,2,4,1]
[6,4,4,1,1,3]=>[{4,5},{6},{2,3},{1}]=>[4,5,6,2,3,1]
[6,4,4,1,3,1]=>[{4,6},{5},{2,3},{1}]=>[4,6,5,2,3,1]
[6,4,4,3,1,1]=>[{5,6},{4},{2,3},{1}]=>[5,6,4,2,3,1]
[1,1,3,4,5,5]=>[{1,2},{3},{4},{5,6}]=>[1,2,3,4,5,6]
[1,1,3,5,4,5]=>[{1,2},{3},{5},{4,6}]=>[1,2,3,5,4,6]
[1,1,3,5,5,4]=>[{1,2},{3},{6},{4,5}]=>[1,2,3,6,4,5]
[1,1,4,3,5,5]=>[{1,2},{4},{3},{5,6}]=>[1,2,4,3,5,6]
[1,1,4,5,3,5]=>[{1,2},{5},{3},{4,6}]=>[1,2,5,3,4,6]
[1,1,4,5,5,3]=>[{1,2},{6},{3},{4,5}]=>[1,2,6,3,4,5]
[1,1,5,3,4,5]=>[{1,2},{4},{5},{3,6}]=>[1,2,4,5,3,6]
[1,1,5,3,5,4]=>[{1,2},{4},{6},{3,5}]=>[1,2,4,6,3,5]
[1,1,5,4,3,5]=>[{1,2},{5},{4},{3,6}]=>[1,2,5,4,3,6]
[1,1,5,4,5,3]=>[{1,2},{6},{4},{3,5}]=>[1,2,6,4,3,5]
[1,1,5,5,3,4]=>[{1,2},{5},{6},{3,4}]=>[1,2,5,6,3,4]
[1,1,5,5,4,3]=>[{1,2},{6},{5},{3,4}]=>[1,2,6,5,3,4]
[1,3,1,4,5,5]=>[{1,3},{2},{4},{5,6}]=>[1,3,2,4,5,6]
[1,3,1,5,4,5]=>[{1,3},{2},{5},{4,6}]=>[1,3,2,5,4,6]
[1,3,1,5,5,4]=>[{1,3},{2},{6},{4,5}]=>[1,3,2,6,4,5]
[1,3,4,1,5,5]=>[{1,4},{2},{3},{5,6}]=>[1,4,2,3,5,6]
[1,3,4,5,1,5]=>[{1,5},{2},{3},{4,6}]=>[1,5,2,3,4,6]
[1,3,4,5,5,1]=>[{1,6},{2},{3},{4,5}]=>[1,6,2,3,4,5]
[1,3,5,1,4,5]=>[{1,4},{2},{5},{3,6}]=>[1,4,2,5,3,6]
[1,3,5,1,5,4]=>[{1,4},{2},{6},{3,5}]=>[1,4,2,6,3,5]
[1,3,5,4,1,5]=>[{1,5},{2},{4},{3,6}]=>[1,5,2,4,3,6]
[1,3,5,4,5,1]=>[{1,6},{2},{4},{3,5}]=>[1,6,2,4,3,5]
[1,3,5,5,1,4]=>[{1,5},{2},{6},{3,4}]=>[1,5,2,6,3,4]
[1,3,5,5,4,1]=>[{1,6},{2},{5},{3,4}]=>[1,6,2,5,3,4]
[1,4,1,3,5,5]=>[{1,3},{4},{2},{5,6}]=>[1,3,4,2,5,6]
[1,4,1,5,3,5]=>[{1,3},{5},{2},{4,6}]=>[1,3,5,2,4,6]
[1,4,1,5,5,3]=>[{1,3},{6},{2},{4,5}]=>[1,3,6,2,4,5]
[1,4,3,1,5,5]=>[{1,4},{3},{2},{5,6}]=>[1,4,3,2,5,6]
[1,4,3,5,1,5]=>[{1,5},{3},{2},{4,6}]=>[1,5,3,2,4,6]
[1,4,3,5,5,1]=>[{1,6},{3},{2},{4,5}]=>[1,6,3,2,4,5]
[1,4,5,1,3,5]=>[{1,4},{5},{2},{3,6}]=>[1,4,5,2,3,6]
[1,4,5,1,5,3]=>[{1,4},{6},{2},{3,5}]=>[1,4,6,2,3,5]
[1,4,5,3,1,5]=>[{1,5},{4},{2},{3,6}]=>[1,5,4,2,3,6]
[1,4,5,3,5,1]=>[{1,6},{4},{2},{3,5}]=>[1,6,4,2,3,5]
[1,4,5,5,1,3]=>[{1,5},{6},{2},{3,4}]=>[1,5,6,2,3,4]
[1,4,5,5,3,1]=>[{1,6},{5},{2},{3,4}]=>[1,6,5,2,3,4]
[1,5,1,3,4,5]=>[{1,3},{4},{5},{2,6}]=>[1,3,4,5,2,6]
[1,5,1,3,5,4]=>[{1,3},{4},{6},{2,5}]=>[1,3,4,6,2,5]
[1,5,1,4,3,5]=>[{1,3},{5},{4},{2,6}]=>[1,3,5,4,2,6]
[1,5,1,4,5,3]=>[{1,3},{6},{4},{2,5}]=>[1,3,6,4,2,5]
[1,5,1,5,3,4]=>[{1,3},{5},{6},{2,4}]=>[1,3,5,6,2,4]
[1,5,1,5,4,3]=>[{1,3},{6},{5},{2,4}]=>[1,3,6,5,2,4]
[1,5,3,1,4,5]=>[{1,4},{3},{5},{2,6}]=>[1,4,3,5,2,6]
[1,5,3,1,5,4]=>[{1,4},{3},{6},{2,5}]=>[1,4,3,6,2,5]
[1,5,3,4,1,5]=>[{1,5},{3},{4},{2,6}]=>[1,5,3,4,2,6]
[1,5,3,4,5,1]=>[{1,6},{3},{4},{2,5}]=>[1,6,3,4,2,5]
[1,5,3,5,1,4]=>[{1,5},{3},{6},{2,4}]=>[1,5,3,6,2,4]
[1,5,3,5,4,1]=>[{1,6},{3},{5},{2,4}]=>[1,6,3,5,2,4]
[1,5,4,1,3,5]=>[{1,4},{5},{3},{2,6}]=>[1,4,5,3,2,6]
[1,5,4,1,5,3]=>[{1,4},{6},{3},{2,5}]=>[1,4,6,3,2,5]
[1,5,4,3,1,5]=>[{1,5},{4},{3},{2,6}]=>[1,5,4,3,2,6]
[1,5,4,3,5,1]=>[{1,6},{4},{3},{2,5}]=>[1,6,4,3,2,5]
[1,5,4,5,1,3]=>[{1,5},{6},{3},{2,4}]=>[1,5,6,3,2,4]
[1,5,4,5,3,1]=>[{1,6},{5},{3},{2,4}]=>[1,6,5,3,2,4]
[1,5,5,1,3,4]=>[{1,4},{5},{6},{2,3}]=>[1,4,5,6,2,3]
[1,5,5,1,4,3]=>[{1,4},{6},{5},{2,3}]=>[1,4,6,5,2,3]
[1,5,5,3,1,4]=>[{1,5},{4},{6},{2,3}]=>[1,5,4,6,2,3]
[1,5,5,3,4,1]=>[{1,6},{4},{5},{2,3}]=>[1,6,4,5,2,3]
[1,5,5,4,1,3]=>[{1,5},{6},{4},{2,3}]=>[1,5,6,4,2,3]
[1,5,5,4,3,1]=>[{1,6},{5},{4},{2,3}]=>[1,6,5,4,2,3]
[3,1,1,4,5,5]=>[{2,3},{1},{4},{5,6}]=>[2,3,1,4,5,6]
[3,1,1,5,4,5]=>[{2,3},{1},{5},{4,6}]=>[2,3,1,5,4,6]
[3,1,1,5,5,4]=>[{2,3},{1},{6},{4,5}]=>[2,3,1,6,4,5]
[3,1,4,1,5,5]=>[{2,4},{1},{3},{5,6}]=>[2,4,1,3,5,6]
[3,1,4,5,1,5]=>[{2,5},{1},{3},{4,6}]=>[2,5,1,3,4,6]
[3,1,4,5,5,1]=>[{2,6},{1},{3},{4,5}]=>[2,6,1,3,4,5]
[3,1,5,1,4,5]=>[{2,4},{1},{5},{3,6}]=>[2,4,1,5,3,6]
[3,1,5,1,5,4]=>[{2,4},{1},{6},{3,5}]=>[2,4,1,6,3,5]
[3,1,5,4,1,5]=>[{2,5},{1},{4},{3,6}]=>[2,5,1,4,3,6]
[3,1,5,4,5,1]=>[{2,6},{1},{4},{3,5}]=>[2,6,1,4,3,5]
[3,1,5,5,1,4]=>[{2,5},{1},{6},{3,4}]=>[2,5,1,6,3,4]
[3,1,5,5,4,1]=>[{2,6},{1},{5},{3,4}]=>[2,6,1,5,3,4]
[3,4,1,1,5,5]=>[{3,4},{1},{2},{5,6}]=>[3,4,1,2,5,6]
[3,4,1,5,1,5]=>[{3,5},{1},{2},{4,6}]=>[3,5,1,2,4,6]
[3,4,1,5,5,1]=>[{3,6},{1},{2},{4,5}]=>[3,6,1,2,4,5]
[3,4,5,1,1,5]=>[{4,5},{1},{2},{3,6}]=>[4,5,1,2,3,6]
[3,4,5,1,5,1]=>[{4,6},{1},{2},{3,5}]=>[4,6,1,2,3,5]
[3,4,5,5,1,1]=>[{5,6},{1},{2},{3,4}]=>[5,6,1,2,3,4]
[3,5,1,1,4,5]=>[{3,4},{1},{5},{2,6}]=>[3,4,1,5,2,6]
[3,5,1,1,5,4]=>[{3,4},{1},{6},{2,5}]=>[3,4,1,6,2,5]
[3,5,1,4,1,5]=>[{3,5},{1},{4},{2,6}]=>[3,5,1,4,2,6]
[3,5,1,4,5,1]=>[{3,6},{1},{4},{2,5}]=>[3,6,1,4,2,5]
[3,5,1,5,1,4]=>[{3,5},{1},{6},{2,4}]=>[3,5,1,6,2,4]
[3,5,1,5,4,1]=>[{3,6},{1},{5},{2,4}]=>[3,6,1,5,2,4]
[3,5,4,1,1,5]=>[{4,5},{1},{3},{2,6}]=>[4,5,1,3,2,6]
[3,5,4,1,5,1]=>[{4,6},{1},{3},{2,5}]=>[4,6,1,3,2,5]
[3,5,4,5,1,1]=>[{5,6},{1},{3},{2,4}]=>[5,6,1,3,2,4]
[3,5,5,1,1,4]=>[{4,5},{1},{6},{2,3}]=>[4,5,1,6,2,3]
[3,5,5,1,4,1]=>[{4,6},{1},{5},{2,3}]=>[4,6,1,5,2,3]
[3,5,5,4,1,1]=>[{5,6},{1},{4},{2,3}]=>[5,6,1,4,2,3]
[4,1,1,3,5,5]=>[{2,3},{4},{1},{5,6}]=>[2,3,4,1,5,6]
[4,1,1,5,3,5]=>[{2,3},{5},{1},{4,6}]=>[2,3,5,1,4,6]
[4,1,1,5,5,3]=>[{2,3},{6},{1},{4,5}]=>[2,3,6,1,4,5]
[4,1,3,1,5,5]=>[{2,4},{3},{1},{5,6}]=>[2,4,3,1,5,6]
[4,1,3,5,1,5]=>[{2,5},{3},{1},{4,6}]=>[2,5,3,1,4,6]
[4,1,3,5,5,1]=>[{2,6},{3},{1},{4,5}]=>[2,6,3,1,4,5]
[4,1,5,1,3,5]=>[{2,4},{5},{1},{3,6}]=>[2,4,5,1,3,6]
[4,1,5,1,5,3]=>[{2,4},{6},{1},{3,5}]=>[2,4,6,1,3,5]
[4,1,5,3,1,5]=>[{2,5},{4},{1},{3,6}]=>[2,5,4,1,3,6]
[4,1,5,3,5,1]=>[{2,6},{4},{1},{3,5}]=>[2,6,4,1,3,5]
[4,1,5,5,1,3]=>[{2,5},{6},{1},{3,4}]=>[2,5,6,1,3,4]
[4,1,5,5,3,1]=>[{2,6},{5},{1},{3,4}]=>[2,6,5,1,3,4]
[4,3,1,1,5,5]=>[{3,4},{2},{1},{5,6}]=>[3,4,2,1,5,6]
[4,3,1,5,1,5]=>[{3,5},{2},{1},{4,6}]=>[3,5,2,1,4,6]
[4,3,1,5,5,1]=>[{3,6},{2},{1},{4,5}]=>[3,6,2,1,4,5]
[4,3,5,1,1,5]=>[{4,5},{2},{1},{3,6}]=>[4,5,2,1,3,6]
[4,3,5,1,5,1]=>[{4,6},{2},{1},{3,5}]=>[4,6,2,1,3,5]
[4,3,5,5,1,1]=>[{5,6},{2},{1},{3,4}]=>[5,6,2,1,3,4]
[4,5,1,1,3,5]=>[{3,4},{5},{1},{2,6}]=>[3,4,5,1,2,6]
[4,5,1,1,5,3]=>[{3,4},{6},{1},{2,5}]=>[3,4,6,1,2,5]
[4,5,1,3,1,5]=>[{3,5},{4},{1},{2,6}]=>[3,5,4,1,2,6]
[4,5,1,3,5,1]=>[{3,6},{4},{1},{2,5}]=>[3,6,4,1,2,5]
[4,5,1,5,1,3]=>[{3,5},{6},{1},{2,4}]=>[3,5,6,1,2,4]
[4,5,1,5,3,1]=>[{3,6},{5},{1},{2,4}]=>[3,6,5,1,2,4]
[4,5,3,1,1,5]=>[{4,5},{3},{1},{2,6}]=>[4,5,3,1,2,6]
[4,5,3,1,5,1]=>[{4,6},{3},{1},{2,5}]=>[4,6,3,1,2,5]
[4,5,3,5,1,1]=>[{5,6},{3},{1},{2,4}]=>[5,6,3,1,2,4]
[4,5,5,1,1,3]=>[{4,5},{6},{1},{2,3}]=>[4,5,6,1,2,3]
[4,5,5,1,3,1]=>[{4,6},{5},{1},{2,3}]=>[4,6,5,1,2,3]
[4,5,5,3,1,1]=>[{5,6},{4},{1},{2,3}]=>[5,6,4,1,2,3]
[5,1,1,3,4,5]=>[{2,3},{4},{5},{1,6}]=>[2,3,4,5,1,6]
[5,1,1,3,5,4]=>[{2,3},{4},{6},{1,5}]=>[2,3,4,6,1,5]
[5,1,1,4,3,5]=>[{2,3},{5},{4},{1,6}]=>[2,3,5,4,1,6]
[5,1,1,4,5,3]=>[{2,3},{6},{4},{1,5}]=>[2,3,6,4,1,5]
[5,1,1,5,3,4]=>[{2,3},{5},{6},{1,4}]=>[2,3,5,6,1,4]
[5,1,1,5,4,3]=>[{2,3},{6},{5},{1,4}]=>[2,3,6,5,1,4]
[5,1,3,1,4,5]=>[{2,4},{3},{5},{1,6}]=>[2,4,3,5,1,6]
[5,1,3,1,5,4]=>[{2,4},{3},{6},{1,5}]=>[2,4,3,6,1,5]
[5,1,3,4,1,5]=>[{2,5},{3},{4},{1,6}]=>[2,5,3,4,1,6]
[5,1,3,4,5,1]=>[{2,6},{3},{4},{1,5}]=>[2,6,3,4,1,5]
[5,1,3,5,1,4]=>[{2,5},{3},{6},{1,4}]=>[2,5,3,6,1,4]
[5,1,3,5,4,1]=>[{2,6},{3},{5},{1,4}]=>[2,6,3,5,1,4]
[5,1,4,1,3,5]=>[{2,4},{5},{3},{1,6}]=>[2,4,5,3,1,6]
[5,1,4,1,5,3]=>[{2,4},{6},{3},{1,5}]=>[2,4,6,3,1,5]
[5,1,4,3,1,5]=>[{2,5},{4},{3},{1,6}]=>[2,5,4,3,1,6]
[5,1,4,3,5,1]=>[{2,6},{4},{3},{1,5}]=>[2,6,4,3,1,5]
[5,1,4,5,1,3]=>[{2,5},{6},{3},{1,4}]=>[2,5,6,3,1,4]
[5,1,4,5,3,1]=>[{2,6},{5},{3},{1,4}]=>[2,6,5,3,1,4]
[5,1,5,1,3,4]=>[{2,4},{5},{6},{1,3}]=>[2,4,5,6,1,3]
[5,1,5,1,4,3]=>[{2,4},{6},{5},{1,3}]=>[2,4,6,5,1,3]
[5,1,5,3,1,4]=>[{2,5},{4},{6},{1,3}]=>[2,5,4,6,1,3]
[5,1,5,3,4,1]=>[{2,6},{4},{5},{1,3}]=>[2,6,4,5,1,3]
[5,1,5,4,1,3]=>[{2,5},{6},{4},{1,3}]=>[2,5,6,4,1,3]
[5,1,5,4,3,1]=>[{2,6},{5},{4},{1,3}]=>[2,6,5,4,1,3]
[5,3,1,1,4,5]=>[{3,4},{2},{5},{1,6}]=>[3,4,2,5,1,6]
[5,3,1,1,5,4]=>[{3,4},{2},{6},{1,5}]=>[3,4,2,6,1,5]
[5,3,1,4,1,5]=>[{3,5},{2},{4},{1,6}]=>[3,5,2,4,1,6]
[5,3,1,4,5,1]=>[{3,6},{2},{4},{1,5}]=>[3,6,2,4,1,5]
[5,3,1,5,1,4]=>[{3,5},{2},{6},{1,4}]=>[3,5,2,6,1,4]
[5,3,1,5,4,1]=>[{3,6},{2},{5},{1,4}]=>[3,6,2,5,1,4]
[5,3,4,1,1,5]=>[{4,5},{2},{3},{1,6}]=>[4,5,2,3,1,6]
[5,3,4,1,5,1]=>[{4,6},{2},{3},{1,5}]=>[4,6,2,3,1,5]
[5,3,4,5,1,1]=>[{5,6},{2},{3},{1,4}]=>[5,6,2,3,1,4]
[5,3,5,1,1,4]=>[{4,5},{2},{6},{1,3}]=>[4,5,2,6,1,3]
[5,3,5,1,4,1]=>[{4,6},{2},{5},{1,3}]=>[4,6,2,5,1,3]
[5,3,5,4,1,1]=>[{5,6},{2},{4},{1,3}]=>[5,6,2,4,1,3]
[5,4,1,1,3,5]=>[{3,4},{5},{2},{1,6}]=>[3,4,5,2,1,6]
[5,4,1,1,5,3]=>[{3,4},{6},{2},{1,5}]=>[3,4,6,2,1,5]
[5,4,1,3,1,5]=>[{3,5},{4},{2},{1,6}]=>[3,5,4,2,1,6]
[5,4,1,3,5,1]=>[{3,6},{4},{2},{1,5}]=>[3,6,4,2,1,5]
[5,4,1,5,1,3]=>[{3,5},{6},{2},{1,4}]=>[3,5,6,2,1,4]
[5,4,1,5,3,1]=>[{3,6},{5},{2},{1,4}]=>[3,6,5,2,1,4]
[5,4,3,1,1,5]=>[{4,5},{3},{2},{1,6}]=>[4,5,3,2,1,6]
[5,4,3,1,5,1]=>[{4,6},{3},{2},{1,5}]=>[4,6,3,2,1,5]
[5,4,3,5,1,1]=>[{5,6},{3},{2},{1,4}]=>[5,6,3,2,1,4]
[5,4,5,1,1,3]=>[{4,5},{6},{2},{1,3}]=>[4,5,6,2,1,3]
[5,4,5,1,3,1]=>[{4,6},{5},{2},{1,3}]=>[4,6,5,2,1,3]
[5,4,5,3,1,1]=>[{5,6},{4},{2},{1,3}]=>[5,6,4,2,1,3]
[5,5,1,1,3,4]=>[{3,4},{5},{6},{1,2}]=>[3,4,5,6,1,2]
[5,5,1,1,4,3]=>[{3,4},{6},{5},{1,2}]=>[3,4,6,5,1,2]
[5,5,1,3,1,4]=>[{3,5},{4},{6},{1,2}]=>[3,5,4,6,1,2]
[5,5,1,3,4,1]=>[{3,6},{4},{5},{1,2}]=>[3,6,4,5,1,2]
[5,5,1,4,1,3]=>[{3,5},{6},{4},{1,2}]=>[3,5,6,4,1,2]
[5,5,1,4,3,1]=>[{3,6},{5},{4},{1,2}]=>[3,6,5,4,1,2]
[5,5,3,1,1,4]=>[{4,5},{3},{6},{1,2}]=>[4,5,3,6,1,2]
[5,5,3,1,4,1]=>[{4,6},{3},{5},{1,2}]=>[4,6,3,5,1,2]
[5,5,3,4,1,1]=>[{5,6},{3},{4},{1,2}]=>[5,6,3,4,1,2]
[5,5,4,1,1,3]=>[{4,5},{6},{3},{1,2}]=>[4,5,6,3,1,2]
[5,5,4,1,3,1]=>[{4,6},{5},{3},{1,2}]=>[4,6,5,3,1,2]
[5,5,4,3,1,1]=>[{5,6},{4},{3},{1,2}]=>[5,6,4,3,1,2]
[1,1,3,4,5,6]=>[{1,2},{3},{4},{5},{6}]=>[1,2,3,4,5,6]
[1,1,3,4,6,5]=>[{1,2},{3},{4},{6},{5}]=>[1,2,3,4,6,5]
[1,1,3,5,4,6]=>[{1,2},{3},{5},{4},{6}]=>[1,2,3,5,4,6]
[1,1,3,5,6,4]=>[{1,2},{3},{6},{4},{5}]=>[1,2,3,6,4,5]
[1,1,3,6,4,5]=>[{1,2},{3},{5},{6},{4}]=>[1,2,3,5,6,4]
[1,1,3,6,5,4]=>[{1,2},{3},{6},{5},{4}]=>[1,2,3,6,5,4]
[1,1,4,3,5,6]=>[{1,2},{4},{3},{5},{6}]=>[1,2,4,3,5,6]
[1,1,4,3,6,5]=>[{1,2},{4},{3},{6},{5}]=>[1,2,4,3,6,5]
[1,1,4,5,3,6]=>[{1,2},{5},{3},{4},{6}]=>[1,2,5,3,4,6]
[1,1,4,5,6,3]=>[{1,2},{6},{3},{4},{5}]=>[1,2,6,3,4,5]
[1,1,4,6,3,5]=>[{1,2},{5},{3},{6},{4}]=>[1,2,5,3,6,4]
[1,1,4,6,5,3]=>[{1,2},{6},{3},{5},{4}]=>[1,2,6,3,5,4]
[1,1,5,3,4,6]=>[{1,2},{4},{5},{3},{6}]=>[1,2,4,5,3,6]
[1,1,5,3,6,4]=>[{1,2},{4},{6},{3},{5}]=>[1,2,4,6,3,5]
[1,1,5,4,3,6]=>[{1,2},{5},{4},{3},{6}]=>[1,2,5,4,3,6]
[1,1,5,4,6,3]=>[{1,2},{6},{4},{3},{5}]=>[1,2,6,4,3,5]
[1,1,5,6,3,4]=>[{1,2},{5},{6},{3},{4}]=>[1,2,5,6,3,4]
[1,1,5,6,4,3]=>[{1,2},{6},{5},{3},{4}]=>[1,2,6,5,3,4]
[1,1,6,3,4,5]=>[{1,2},{4},{5},{6},{3}]=>[1,2,4,5,6,3]
[1,1,6,3,5,4]=>[{1,2},{4},{6},{5},{3}]=>[1,2,4,6,5,3]
[1,1,6,4,3,5]=>[{1,2},{5},{4},{6},{3}]=>[1,2,5,4,6,3]
[1,1,6,4,5,3]=>[{1,2},{6},{4},{5},{3}]=>[1,2,6,4,5,3]
[1,1,6,5,3,4]=>[{1,2},{5},{6},{4},{3}]=>[1,2,5,6,4,3]
[1,1,6,5,4,3]=>[{1,2},{6},{5},{4},{3}]=>[1,2,6,5,4,3]
[1,3,1,4,5,6]=>[{1,3},{2},{4},{5},{6}]=>[1,3,2,4,5,6]
[1,3,1,4,6,5]=>[{1,3},{2},{4},{6},{5}]=>[1,3,2,4,6,5]
[1,3,1,5,4,6]=>[{1,3},{2},{5},{4},{6}]=>[1,3,2,5,4,6]
[1,3,1,5,6,4]=>[{1,3},{2},{6},{4},{5}]=>[1,3,2,6,4,5]
[1,3,1,6,4,5]=>[{1,3},{2},{5},{6},{4}]=>[1,3,2,5,6,4]
[1,3,1,6,5,4]=>[{1,3},{2},{6},{5},{4}]=>[1,3,2,6,5,4]
[1,3,4,1,5,6]=>[{1,4},{2},{3},{5},{6}]=>[1,4,2,3,5,6]
[1,3,4,1,6,5]=>[{1,4},{2},{3},{6},{5}]=>[1,4,2,3,6,5]
[1,3,4,5,1,6]=>[{1,5},{2},{3},{4},{6}]=>[1,5,2,3,4,6]
[1,3,4,5,6,1]=>[{1,6},{2},{3},{4},{5}]=>[1,6,2,3,4,5]
[1,3,4,6,1,5]=>[{1,5},{2},{3},{6},{4}]=>[1,5,2,3,6,4]
[1,3,4,6,5,1]=>[{1,6},{2},{3},{5},{4}]=>[1,6,2,3,5,4]
[1,3,5,1,4,6]=>[{1,4},{2},{5},{3},{6}]=>[1,4,2,5,3,6]
[1,3,5,1,6,4]=>[{1,4},{2},{6},{3},{5}]=>[1,4,2,6,3,5]
[1,3,5,4,1,6]=>[{1,5},{2},{4},{3},{6}]=>[1,5,2,4,3,6]
[1,3,5,4,6,1]=>[{1,6},{2},{4},{3},{5}]=>[1,6,2,4,3,5]
[1,3,5,6,1,4]=>[{1,5},{2},{6},{3},{4}]=>[1,5,2,6,3,4]
[1,3,5,6,4,1]=>[{1,6},{2},{5},{3},{4}]=>[1,6,2,5,3,4]
[1,3,6,1,4,5]=>[{1,4},{2},{5},{6},{3}]=>[1,4,2,5,6,3]
[1,3,6,1,5,4]=>[{1,4},{2},{6},{5},{3}]=>[1,4,2,6,5,3]
[1,3,6,4,1,5]=>[{1,5},{2},{4},{6},{3}]=>[1,5,2,4,6,3]
[1,3,6,4,5,1]=>[{1,6},{2},{4},{5},{3}]=>[1,6,2,4,5,3]
[1,3,6,5,1,4]=>[{1,5},{2},{6},{4},{3}]=>[1,5,2,6,4,3]
[1,3,6,5,4,1]=>[{1,6},{2},{5},{4},{3}]=>[1,6,2,5,4,3]
[1,4,1,3,5,6]=>[{1,3},{4},{2},{5},{6}]=>[1,3,4,2,5,6]
[1,4,1,3,6,5]=>[{1,3},{4},{2},{6},{5}]=>[1,3,4,2,6,5]
[1,4,1,5,3,6]=>[{1,3},{5},{2},{4},{6}]=>[1,3,5,2,4,6]
[1,4,1,5,6,3]=>[{1,3},{6},{2},{4},{5}]=>[1,3,6,2,4,5]
[1,4,1,6,3,5]=>[{1,3},{5},{2},{6},{4}]=>[1,3,5,2,6,4]
[1,4,1,6,5,3]=>[{1,3},{6},{2},{5},{4}]=>[1,3,6,2,5,4]
[1,4,3,1,5,6]=>[{1,4},{3},{2},{5},{6}]=>[1,4,3,2,5,6]
[1,4,3,1,6,5]=>[{1,4},{3},{2},{6},{5}]=>[1,4,3,2,6,5]
[1,4,3,5,1,6]=>[{1,5},{3},{2},{4},{6}]=>[1,5,3,2,4,6]
[1,4,3,5,6,1]=>[{1,6},{3},{2},{4},{5}]=>[1,6,3,2,4,5]
[1,4,3,6,1,5]=>[{1,5},{3},{2},{6},{4}]=>[1,5,3,2,6,4]
[1,4,3,6,5,1]=>[{1,6},{3},{2},{5},{4}]=>[1,6,3,2,5,4]
[1,4,5,1,3,6]=>[{1,4},{5},{2},{3},{6}]=>[1,4,5,2,3,6]
[1,4,5,1,6,3]=>[{1,4},{6},{2},{3},{5}]=>[1,4,6,2,3,5]
[1,4,5,3,1,6]=>[{1,5},{4},{2},{3},{6}]=>[1,5,4,2,3,6]
[1,4,5,3,6,1]=>[{1,6},{4},{2},{3},{5}]=>[1,6,4,2,3,5]
[1,4,5,6,1,3]=>[{1,5},{6},{2},{3},{4}]=>[1,5,6,2,3,4]
[1,4,5,6,3,1]=>[{1,6},{5},{2},{3},{4}]=>[1,6,5,2,3,4]
[1,4,6,1,3,5]=>[{1,4},{5},{2},{6},{3}]=>[1,4,5,2,6,3]
[1,4,6,1,5,3]=>[{1,4},{6},{2},{5},{3}]=>[1,4,6,2,5,3]
[1,4,6,3,1,5]=>[{1,5},{4},{2},{6},{3}]=>[1,5,4,2,6,3]
[1,4,6,3,5,1]=>[{1,6},{4},{2},{5},{3}]=>[1,6,4,2,5,3]
[1,4,6,5,1,3]=>[{1,5},{6},{2},{4},{3}]=>[1,5,6,2,4,3]
[1,4,6,5,3,1]=>[{1,6},{5},{2},{4},{3}]=>[1,6,5,2,4,3]
[1,5,1,3,4,6]=>[{1,3},{4},{5},{2},{6}]=>[1,3,4,5,2,6]
[1,5,1,3,6,4]=>[{1,3},{4},{6},{2},{5}]=>[1,3,4,6,2,5]
[1,5,1,4,3,6]=>[{1,3},{5},{4},{2},{6}]=>[1,3,5,4,2,6]
[1,5,1,4,6,3]=>[{1,3},{6},{4},{2},{5}]=>[1,3,6,4,2,5]
[1,5,1,6,3,4]=>[{1,3},{5},{6},{2},{4}]=>[1,3,5,6,2,4]
[1,5,1,6,4,3]=>[{1,3},{6},{5},{2},{4}]=>[1,3,6,5,2,4]
[1,5,3,1,4,6]=>[{1,4},{3},{5},{2},{6}]=>[1,4,3,5,2,6]
[1,5,3,1,6,4]=>[{1,4},{3},{6},{2},{5}]=>[1,4,3,6,2,5]
[1,5,3,4,1,6]=>[{1,5},{3},{4},{2},{6}]=>[1,5,3,4,2,6]
[1,5,3,4,6,1]=>[{1,6},{3},{4},{2},{5}]=>[1,6,3,4,2,5]
[1,5,3,6,1,4]=>[{1,5},{3},{6},{2},{4}]=>[1,5,3,6,2,4]
[1,5,3,6,4,1]=>[{1,6},{3},{5},{2},{4}]=>[1,6,3,5,2,4]
[1,5,4,1,3,6]=>[{1,4},{5},{3},{2},{6}]=>[1,4,5,3,2,6]
[1,5,4,1,6,3]=>[{1,4},{6},{3},{2},{5}]=>[1,4,6,3,2,5]
[1,5,4,3,1,6]=>[{1,5},{4},{3},{2},{6}]=>[1,5,4,3,2,6]
[1,5,4,3,6,1]=>[{1,6},{4},{3},{2},{5}]=>[1,6,4,3,2,5]
[1,5,4,6,1,3]=>[{1,5},{6},{3},{2},{4}]=>[1,5,6,3,2,4]
[1,5,4,6,3,1]=>[{1,6},{5},{3},{2},{4}]=>[1,6,5,3,2,4]
[1,5,6,1,3,4]=>[{1,4},{5},{6},{2},{3}]=>[1,4,5,6,2,3]
[1,5,6,1,4,3]=>[{1,4},{6},{5},{2},{3}]=>[1,4,6,5,2,3]
[1,5,6,3,1,4]=>[{1,5},{4},{6},{2},{3}]=>[1,5,4,6,2,3]
[1,5,6,3,4,1]=>[{1,6},{4},{5},{2},{3}]=>[1,6,4,5,2,3]
[1,5,6,4,1,3]=>[{1,5},{6},{4},{2},{3}]=>[1,5,6,4,2,3]
[1,5,6,4,3,1]=>[{1,6},{5},{4},{2},{3}]=>[1,6,5,4,2,3]
[1,6,1,3,4,5]=>[{1,3},{4},{5},{6},{2}]=>[1,3,4,5,6,2]
[1,6,1,3,5,4]=>[{1,3},{4},{6},{5},{2}]=>[1,3,4,6,5,2]
[1,6,1,4,3,5]=>[{1,3},{5},{4},{6},{2}]=>[1,3,5,4,6,2]
[1,6,1,4,5,3]=>[{1,3},{6},{4},{5},{2}]=>[1,3,6,4,5,2]
[1,6,1,5,3,4]=>[{1,3},{5},{6},{4},{2}]=>[1,3,5,6,4,2]
[1,6,1,5,4,3]=>[{1,3},{6},{5},{4},{2}]=>[1,3,6,5,4,2]
[1,6,3,1,4,5]=>[{1,4},{3},{5},{6},{2}]=>[1,4,3,5,6,2]
[1,6,3,1,5,4]=>[{1,4},{3},{6},{5},{2}]=>[1,4,3,6,5,2]
[1,6,3,4,1,5]=>[{1,5},{3},{4},{6},{2}]=>[1,5,3,4,6,2]
[1,6,3,4,5,1]=>[{1,6},{3},{4},{5},{2}]=>[1,6,3,4,5,2]
[1,6,3,5,1,4]=>[{1,5},{3},{6},{4},{2}]=>[1,5,3,6,4,2]
[1,6,3,5,4,1]=>[{1,6},{3},{5},{4},{2}]=>[1,6,3,5,4,2]
[1,6,4,1,3,5]=>[{1,4},{5},{3},{6},{2}]=>[1,4,5,3,6,2]
[1,6,4,1,5,3]=>[{1,4},{6},{3},{5},{2}]=>[1,4,6,3,5,2]
[1,6,4,3,1,5]=>[{1,5},{4},{3},{6},{2}]=>[1,5,4,3,6,2]
[1,6,4,3,5,1]=>[{1,6},{4},{3},{5},{2}]=>[1,6,4,3,5,2]
[1,6,4,5,1,3]=>[{1,5},{6},{3},{4},{2}]=>[1,5,6,3,4,2]
[1,6,4,5,3,1]=>[{1,6},{5},{3},{4},{2}]=>[1,6,5,3,4,2]
[1,6,5,1,3,4]=>[{1,4},{5},{6},{3},{2}]=>[1,4,5,6,3,2]
[1,6,5,1,4,3]=>[{1,4},{6},{5},{3},{2}]=>[1,4,6,5,3,2]
[1,6,5,3,1,4]=>[{1,5},{4},{6},{3},{2}]=>[1,5,4,6,3,2]
[1,6,5,3,4,1]=>[{1,6},{4},{5},{3},{2}]=>[1,6,4,5,3,2]
[1,6,5,4,1,3]=>[{1,5},{6},{4},{3},{2}]=>[1,5,6,4,3,2]
[1,6,5,4,3,1]=>[{1,6},{5},{4},{3},{2}]=>[1,6,5,4,3,2]
[3,1,1,4,5,6]=>[{2,3},{1},{4},{5},{6}]=>[2,3,1,4,5,6]
[3,1,1,4,6,5]=>[{2,3},{1},{4},{6},{5}]=>[2,3,1,4,6,5]
[3,1,1,5,4,6]=>[{2,3},{1},{5},{4},{6}]=>[2,3,1,5,4,6]
[3,1,1,5,6,4]=>[{2,3},{1},{6},{4},{5}]=>[2,3,1,6,4,5]
[3,1,1,6,4,5]=>[{2,3},{1},{5},{6},{4}]=>[2,3,1,5,6,4]
[3,1,1,6,5,4]=>[{2,3},{1},{6},{5},{4}]=>[2,3,1,6,5,4]
[3,1,4,1,5,6]=>[{2,4},{1},{3},{5},{6}]=>[2,4,1,3,5,6]
[3,1,4,1,6,5]=>[{2,4},{1},{3},{6},{5}]=>[2,4,1,3,6,5]
[3,1,4,5,1,6]=>[{2,5},{1},{3},{4},{6}]=>[2,5,1,3,4,6]
[3,1,4,5,6,1]=>[{2,6},{1},{3},{4},{5}]=>[2,6,1,3,4,5]
[3,1,4,6,1,5]=>[{2,5},{1},{3},{6},{4}]=>[2,5,1,3,6,4]
[3,1,4,6,5,1]=>[{2,6},{1},{3},{5},{4}]=>[2,6,1,3,5,4]
[3,1,5,1,4,6]=>[{2,4},{1},{5},{3},{6}]=>[2,4,1,5,3,6]
[3,1,5,1,6,4]=>[{2,4},{1},{6},{3},{5}]=>[2,4,1,6,3,5]
[3,1,5,4,1,6]=>[{2,5},{1},{4},{3},{6}]=>[2,5,1,4,3,6]
[3,1,5,4,6,1]=>[{2,6},{1},{4},{3},{5}]=>[2,6,1,4,3,5]
[3,1,5,6,1,4]=>[{2,5},{1},{6},{3},{4}]=>[2,5,1,6,3,4]
[3,1,5,6,4,1]=>[{2,6},{1},{5},{3},{4}]=>[2,6,1,5,3,4]
[3,1,6,1,4,5]=>[{2,4},{1},{5},{6},{3}]=>[2,4,1,5,6,3]
[3,1,6,1,5,4]=>[{2,4},{1},{6},{5},{3}]=>[2,4,1,6,5,3]
[3,1,6,4,1,5]=>[{2,5},{1},{4},{6},{3}]=>[2,5,1,4,6,3]
[3,1,6,4,5,1]=>[{2,6},{1},{4},{5},{3}]=>[2,6,1,4,5,3]
[3,1,6,5,1,4]=>[{2,5},{1},{6},{4},{3}]=>[2,5,1,6,4,3]
[3,1,6,5,4,1]=>[{2,6},{1},{5},{4},{3}]=>[2,6,1,5,4,3]
[3,4,1,1,5,6]=>[{3,4},{1},{2},{5},{6}]=>[3,4,1,2,5,6]
[3,4,1,1,6,5]=>[{3,4},{1},{2},{6},{5}]=>[3,4,1,2,6,5]
[3,4,1,5,1,6]=>[{3,5},{1},{2},{4},{6}]=>[3,5,1,2,4,6]
[3,4,1,5,6,1]=>[{3,6},{1},{2},{4},{5}]=>[3,6,1,2,4,5]
[3,4,1,6,1,5]=>[{3,5},{1},{2},{6},{4}]=>[3,5,1,2,6,4]
[3,4,1,6,5,1]=>[{3,6},{1},{2},{5},{4}]=>[3,6,1,2,5,4]
[3,4,5,1,1,6]=>[{4,5},{1},{2},{3},{6}]=>[4,5,1,2,3,6]
[3,4,5,1,6,1]=>[{4,6},{1},{2},{3},{5}]=>[4,6,1,2,3,5]
[3,4,5,6,1,1]=>[{5,6},{1},{2},{3},{4}]=>[5,6,1,2,3,4]
[3,4,6,1,1,5]=>[{4,5},{1},{2},{6},{3}]=>[4,5,1,2,6,3]
[3,4,6,1,5,1]=>[{4,6},{1},{2},{5},{3}]=>[4,6,1,2,5,3]
[3,4,6,5,1,1]=>[{5,6},{1},{2},{4},{3}]=>[5,6,1,2,4,3]
[3,5,1,1,4,6]=>[{3,4},{1},{5},{2},{6}]=>[3,4,1,5,2,6]
[3,5,1,1,6,4]=>[{3,4},{1},{6},{2},{5}]=>[3,4,1,6,2,5]
[3,5,1,4,1,6]=>[{3,5},{1},{4},{2},{6}]=>[3,5,1,4,2,6]
[3,5,1,4,6,1]=>[{3,6},{1},{4},{2},{5}]=>[3,6,1,4,2,5]
[3,5,1,6,1,4]=>[{3,5},{1},{6},{2},{4}]=>[3,5,1,6,2,4]
[3,5,1,6,4,1]=>[{3,6},{1},{5},{2},{4}]=>[3,6,1,5,2,4]
[3,5,4,1,1,6]=>[{4,5},{1},{3},{2},{6}]=>[4,5,1,3,2,6]
[3,5,4,1,6,1]=>[{4,6},{1},{3},{2},{5}]=>[4,6,1,3,2,5]
[3,5,4,6,1,1]=>[{5,6},{1},{3},{2},{4}]=>[5,6,1,3,2,4]
[3,5,6,1,1,4]=>[{4,5},{1},{6},{2},{3}]=>[4,5,1,6,2,3]
[3,5,6,1,4,1]=>[{4,6},{1},{5},{2},{3}]=>[4,6,1,5,2,3]
[3,5,6,4,1,1]=>[{5,6},{1},{4},{2},{3}]=>[5,6,1,4,2,3]
[3,6,1,1,4,5]=>[{3,4},{1},{5},{6},{2}]=>[3,4,1,5,6,2]
[3,6,1,1,5,4]=>[{3,4},{1},{6},{5},{2}]=>[3,4,1,6,5,2]
[3,6,1,4,1,5]=>[{3,5},{1},{4},{6},{2}]=>[3,5,1,4,6,2]
[3,6,1,4,5,1]=>[{3,6},{1},{4},{5},{2}]=>[3,6,1,4,5,2]
[3,6,1,5,1,4]=>[{3,5},{1},{6},{4},{2}]=>[3,5,1,6,4,2]
[3,6,1,5,4,1]=>[{3,6},{1},{5},{4},{2}]=>[3,6,1,5,4,2]
[3,6,4,1,1,5]=>[{4,5},{1},{3},{6},{2}]=>[4,5,1,3,6,2]
[3,6,4,1,5,1]=>[{4,6},{1},{3},{5},{2}]=>[4,6,1,3,5,2]
[3,6,4,5,1,1]=>[{5,6},{1},{3},{4},{2}]=>[5,6,1,3,4,2]
[3,6,5,1,1,4]=>[{4,5},{1},{6},{3},{2}]=>[4,5,1,6,3,2]
[3,6,5,1,4,1]=>[{4,6},{1},{5},{3},{2}]=>[4,6,1,5,3,2]
[3,6,5,4,1,1]=>[{5,6},{1},{4},{3},{2}]=>[5,6,1,4,3,2]
[4,1,1,3,5,6]=>[{2,3},{4},{1},{5},{6}]=>[2,3,4,1,5,6]
[4,1,1,3,6,5]=>[{2,3},{4},{1},{6},{5}]=>[2,3,4,1,6,5]
[4,1,1,5,3,6]=>[{2,3},{5},{1},{4},{6}]=>[2,3,5,1,4,6]
[4,1,1,5,6,3]=>[{2,3},{6},{1},{4},{5}]=>[2,3,6,1,4,5]
[4,1,1,6,3,5]=>[{2,3},{5},{1},{6},{4}]=>[2,3,5,1,6,4]
[4,1,1,6,5,3]=>[{2,3},{6},{1},{5},{4}]=>[2,3,6,1,5,4]
[4,1,3,1,5,6]=>[{2,4},{3},{1},{5},{6}]=>[2,4,3,1,5,6]
[4,1,3,1,6,5]=>[{2,4},{3},{1},{6},{5}]=>[2,4,3,1,6,5]
[4,1,3,5,1,6]=>[{2,5},{3},{1},{4},{6}]=>[2,5,3,1,4,6]
[4,1,3,5,6,1]=>[{2,6},{3},{1},{4},{5}]=>[2,6,3,1,4,5]
[4,1,3,6,1,5]=>[{2,5},{3},{1},{6},{4}]=>[2,5,3,1,6,4]
[4,1,3,6,5,1]=>[{2,6},{3},{1},{5},{4}]=>[2,6,3,1,5,4]
[4,1,5,1,3,6]=>[{2,4},{5},{1},{3},{6}]=>[2,4,5,1,3,6]
[4,1,5,1,6,3]=>[{2,4},{6},{1},{3},{5}]=>[2,4,6,1,3,5]
[4,1,5,3,1,6]=>[{2,5},{4},{1},{3},{6}]=>[2,5,4,1,3,6]
[4,1,5,3,6,1]=>[{2,6},{4},{1},{3},{5}]=>[2,6,4,1,3,5]
[4,1,5,6,1,3]=>[{2,5},{6},{1},{3},{4}]=>[2,5,6,1,3,4]
[4,1,5,6,3,1]=>[{2,6},{5},{1},{3},{4}]=>[2,6,5,1,3,4]
[4,1,6,1,3,5]=>[{2,4},{5},{1},{6},{3}]=>[2,4,5,1,6,3]
[4,1,6,1,5,3]=>[{2,4},{6},{1},{5},{3}]=>[2,4,6,1,5,3]
[4,1,6,3,1,5]=>[{2,5},{4},{1},{6},{3}]=>[2,5,4,1,6,3]
[4,1,6,3,5,1]=>[{2,6},{4},{1},{5},{3}]=>[2,6,4,1,5,3]
[4,1,6,5,1,3]=>[{2,5},{6},{1},{4},{3}]=>[2,5,6,1,4,3]
[4,1,6,5,3,1]=>[{2,6},{5},{1},{4},{3}]=>[2,6,5,1,4,3]
[4,3,1,1,5,6]=>[{3,4},{2},{1},{5},{6}]=>[3,4,2,1,5,6]
[4,3,1,1,6,5]=>[{3,4},{2},{1},{6},{5}]=>[3,4,2,1,6,5]
[4,3,1,5,1,6]=>[{3,5},{2},{1},{4},{6}]=>[3,5,2,1,4,6]
[4,3,1,5,6,1]=>[{3,6},{2},{1},{4},{5}]=>[3,6,2,1,4,5]
[4,3,1,6,1,5]=>[{3,5},{2},{1},{6},{4}]=>[3,5,2,1,6,4]
[4,3,1,6,5,1]=>[{3,6},{2},{1},{5},{4}]=>[3,6,2,1,5,4]
[4,3,5,1,1,6]=>[{4,5},{2},{1},{3},{6}]=>[4,5,2,1,3,6]
[4,3,5,1,6,1]=>[{4,6},{2},{1},{3},{5}]=>[4,6,2,1,3,5]
[4,3,5,6,1,1]=>[{5,6},{2},{1},{3},{4}]=>[5,6,2,1,3,4]
[4,3,6,1,1,5]=>[{4,5},{2},{1},{6},{3}]=>[4,5,2,1,6,3]
[4,3,6,1,5,1]=>[{4,6},{2},{1},{5},{3}]=>[4,6,2,1,5,3]
[4,3,6,5,1,1]=>[{5,6},{2},{1},{4},{3}]=>[5,6,2,1,4,3]
[4,5,1,1,3,6]=>[{3,4},{5},{1},{2},{6}]=>[3,4,5,1,2,6]
[4,5,1,1,6,3]=>[{3,4},{6},{1},{2},{5}]=>[3,4,6,1,2,5]
[4,5,1,3,1,6]=>[{3,5},{4},{1},{2},{6}]=>[3,5,4,1,2,6]
[4,5,1,3,6,1]=>[{3,6},{4},{1},{2},{5}]=>[3,6,4,1,2,5]
[4,5,1,6,1,3]=>[{3,5},{6},{1},{2},{4}]=>[3,5,6,1,2,4]
[4,5,1,6,3,1]=>[{3,6},{5},{1},{2},{4}]=>[3,6,5,1,2,4]
[4,5,3,1,1,6]=>[{4,5},{3},{1},{2},{6}]=>[4,5,3,1,2,6]
[4,5,3,1,6,1]=>[{4,6},{3},{1},{2},{5}]=>[4,6,3,1,2,5]
[4,5,3,6,1,1]=>[{5,6},{3},{1},{2},{4}]=>[5,6,3,1,2,4]
[4,5,6,1,1,3]=>[{4,5},{6},{1},{2},{3}]=>[4,5,6,1,2,3]
[4,5,6,1,3,1]=>[{4,6},{5},{1},{2},{3}]=>[4,6,5,1,2,3]
[4,5,6,3,1,1]=>[{5,6},{4},{1},{2},{3}]=>[5,6,4,1,2,3]
[4,6,1,1,3,5]=>[{3,4},{5},{1},{6},{2}]=>[3,4,5,1,6,2]
[4,6,1,1,5,3]=>[{3,4},{6},{1},{5},{2}]=>[3,4,6,1,5,2]
[4,6,1,3,1,5]=>[{3,5},{4},{1},{6},{2}]=>[3,5,4,1,6,2]
[4,6,1,3,5,1]=>[{3,6},{4},{1},{5},{2}]=>[3,6,4,1,5,2]
[4,6,1,5,1,3]=>[{3,5},{6},{1},{4},{2}]=>[3,5,6,1,4,2]
[4,6,1,5,3,1]=>[{3,6},{5},{1},{4},{2}]=>[3,6,5,1,4,2]
[4,6,3,1,1,5]=>[{4,5},{3},{1},{6},{2}]=>[4,5,3,1,6,2]
[4,6,3,1,5,1]=>[{4,6},{3},{1},{5},{2}]=>[4,6,3,1,5,2]
[4,6,3,5,1,1]=>[{5,6},{3},{1},{4},{2}]=>[5,6,3,1,4,2]
[4,6,5,1,1,3]=>[{4,5},{6},{1},{3},{2}]=>[4,5,6,1,3,2]
[4,6,5,1,3,1]=>[{4,6},{5},{1},{3},{2}]=>[4,6,5,1,3,2]
[4,6,5,3,1,1]=>[{5,6},{4},{1},{3},{2}]=>[5,6,4,1,3,2]
[5,1,1,3,4,6]=>[{2,3},{4},{5},{1},{6}]=>[2,3,4,5,1,6]
[5,1,1,3,6,4]=>[{2,3},{4},{6},{1},{5}]=>[2,3,4,6,1,5]
[5,1,1,4,3,6]=>[{2,3},{5},{4},{1},{6}]=>[2,3,5,4,1,6]
[5,1,1,4,6,3]=>[{2,3},{6},{4},{1},{5}]=>[2,3,6,4,1,5]
[5,1,1,6,3,4]=>[{2,3},{5},{6},{1},{4}]=>[2,3,5,6,1,4]
[5,1,1,6,4,3]=>[{2,3},{6},{5},{1},{4}]=>[2,3,6,5,1,4]
[5,1,3,1,4,6]=>[{2,4},{3},{5},{1},{6}]=>[2,4,3,5,1,6]
[5,1,3,1,6,4]=>[{2,4},{3},{6},{1},{5}]=>[2,4,3,6,1,5]
[5,1,3,4,1,6]=>[{2,5},{3},{4},{1},{6}]=>[2,5,3,4,1,6]
[5,1,3,4,6,1]=>[{2,6},{3},{4},{1},{5}]=>[2,6,3,4,1,5]
[5,1,3,6,1,4]=>[{2,5},{3},{6},{1},{4}]=>[2,5,3,6,1,4]
[5,1,3,6,4,1]=>[{2,6},{3},{5},{1},{4}]=>[2,6,3,5,1,4]
[5,1,4,1,3,6]=>[{2,4},{5},{3},{1},{6}]=>[2,4,5,3,1,6]
[5,1,4,1,6,3]=>[{2,4},{6},{3},{1},{5}]=>[2,4,6,3,1,5]
[5,1,4,3,1,6]=>[{2,5},{4},{3},{1},{6}]=>[2,5,4,3,1,6]
[5,1,4,3,6,1]=>[{2,6},{4},{3},{1},{5}]=>[2,6,4,3,1,5]
[5,1,4,6,1,3]=>[{2,5},{6},{3},{1},{4}]=>[2,5,6,3,1,4]
[5,1,4,6,3,1]=>[{2,6},{5},{3},{1},{4}]=>[2,6,5,3,1,4]
[5,1,6,1,3,4]=>[{2,4},{5},{6},{1},{3}]=>[2,4,5,6,1,3]
[5,1,6,1,4,3]=>[{2,4},{6},{5},{1},{3}]=>[2,4,6,5,1,3]
[5,1,6,3,1,4]=>[{2,5},{4},{6},{1},{3}]=>[2,5,4,6,1,3]
[5,1,6,3,4,1]=>[{2,6},{4},{5},{1},{3}]=>[2,6,4,5,1,3]
[5,1,6,4,1,3]=>[{2,5},{6},{4},{1},{3}]=>[2,5,6,4,1,3]
[5,1,6,4,3,1]=>[{2,6},{5},{4},{1},{3}]=>[2,6,5,4,1,3]
[5,3,1,1,4,6]=>[{3,4},{2},{5},{1},{6}]=>[3,4,2,5,1,6]
[5,3,1,1,6,4]=>[{3,4},{2},{6},{1},{5}]=>[3,4,2,6,1,5]
[5,3,1,4,1,6]=>[{3,5},{2},{4},{1},{6}]=>[3,5,2,4,1,6]
[5,3,1,4,6,1]=>[{3,6},{2},{4},{1},{5}]=>[3,6,2,4,1,5]
[5,3,1,6,1,4]=>[{3,5},{2},{6},{1},{4}]=>[3,5,2,6,1,4]
[5,3,1,6,4,1]=>[{3,6},{2},{5},{1},{4}]=>[3,6,2,5,1,4]
[5,3,4,1,1,6]=>[{4,5},{2},{3},{1},{6}]=>[4,5,2,3,1,6]
[5,3,4,1,6,1]=>[{4,6},{2},{3},{1},{5}]=>[4,6,2,3,1,5]
[5,3,4,6,1,1]=>[{5,6},{2},{3},{1},{4}]=>[5,6,2,3,1,4]
[5,3,6,1,1,4]=>[{4,5},{2},{6},{1},{3}]=>[4,5,2,6,1,3]
[5,3,6,1,4,1]=>[{4,6},{2},{5},{1},{3}]=>[4,6,2,5,1,3]
[5,3,6,4,1,1]=>[{5,6},{2},{4},{1},{3}]=>[5,6,2,4,1,3]
[5,4,1,1,3,6]=>[{3,4},{5},{2},{1},{6}]=>[3,4,5,2,1,6]
[5,4,1,1,6,3]=>[{3,4},{6},{2},{1},{5}]=>[3,4,6,2,1,5]
[5,4,1,3,1,6]=>[{3,5},{4},{2},{1},{6}]=>[3,5,4,2,1,6]
[5,4,1,3,6,1]=>[{3,6},{4},{2},{1},{5}]=>[3,6,4,2,1,5]
[5,4,1,6,1,3]=>[{3,5},{6},{2},{1},{4}]=>[3,5,6,2,1,4]
[5,4,1,6,3,1]=>[{3,6},{5},{2},{1},{4}]=>[3,6,5,2,1,4]
[5,4,3,1,1,6]=>[{4,5},{3},{2},{1},{6}]=>[4,5,3,2,1,6]
[5,4,3,1,6,1]=>[{4,6},{3},{2},{1},{5}]=>[4,6,3,2,1,5]
[5,4,3,6,1,1]=>[{5,6},{3},{2},{1},{4}]=>[5,6,3,2,1,4]
[5,4,6,1,1,3]=>[{4,5},{6},{2},{1},{3}]=>[4,5,6,2,1,3]
[5,4,6,1,3,1]=>[{4,6},{5},{2},{1},{3}]=>[4,6,5,2,1,3]
[5,4,6,3,1,1]=>[{5,6},{4},{2},{1},{3}]=>[5,6,4,2,1,3]
[5,6,1,1,3,4]=>[{3,4},{5},{6},{1},{2}]=>[3,4,5,6,1,2]
[5,6,1,1,4,3]=>[{3,4},{6},{5},{1},{2}]=>[3,4,6,5,1,2]
[5,6,1,3,1,4]=>[{3,5},{4},{6},{1},{2}]=>[3,5,4,6,1,2]
[5,6,1,3,4,1]=>[{3,6},{4},{5},{1},{2}]=>[3,6,4,5,1,2]
[5,6,1,4,1,3]=>[{3,5},{6},{4},{1},{2}]=>[3,5,6,4,1,2]
[5,6,1,4,3,1]=>[{3,6},{5},{4},{1},{2}]=>[3,6,5,4,1,2]
[5,6,3,1,1,4]=>[{4,5},{3},{6},{1},{2}]=>[4,5,3,6,1,2]
[5,6,3,1,4,1]=>[{4,6},{3},{5},{1},{2}]=>[4,6,3,5,1,2]
[5,6,3,4,1,1]=>[{5,6},{3},{4},{1},{2}]=>[5,6,3,4,1,2]
[5,6,4,1,1,3]=>[{4,5},{6},{3},{1},{2}]=>[4,5,6,3,1,2]
[5,6,4,1,3,1]=>[{4,6},{5},{3},{1},{2}]=>[4,6,5,3,1,2]
[5,6,4,3,1,1]=>[{5,6},{4},{3},{1},{2}]=>[5,6,4,3,1,2]
[6,1,1,3,4,5]=>[{2,3},{4},{5},{6},{1}]=>[2,3,4,5,6,1]
[6,1,1,3,5,4]=>[{2,3},{4},{6},{5},{1}]=>[2,3,4,6,5,1]
[6,1,1,4,3,5]=>[{2,3},{5},{4},{6},{1}]=>[2,3,5,4,6,1]
[6,1,1,4,5,3]=>[{2,3},{6},{4},{5},{1}]=>[2,3,6,4,5,1]
[6,1,1,5,3,4]=>[{2,3},{5},{6},{4},{1}]=>[2,3,5,6,4,1]
[6,1,1,5,4,3]=>[{2,3},{6},{5},{4},{1}]=>[2,3,6,5,4,1]
[6,1,3,1,4,5]=>[{2,4},{3},{5},{6},{1}]=>[2,4,3,5,6,1]
[6,1,3,1,5,4]=>[{2,4},{3},{6},{5},{1}]=>[2,4,3,6,5,1]
[6,1,3,4,1,5]=>[{2,5},{3},{4},{6},{1}]=>[2,5,3,4,6,1]
[6,1,3,4,5,1]=>[{2,6},{3},{4},{5},{1}]=>[2,6,3,4,5,1]
[6,1,3,5,1,4]=>[{2,5},{3},{6},{4},{1}]=>[2,5,3,6,4,1]
[6,1,3,5,4,1]=>[{2,6},{3},{5},{4},{1}]=>[2,6,3,5,4,1]
[6,1,4,1,3,5]=>[{2,4},{5},{3},{6},{1}]=>[2,4,5,3,6,1]
[6,1,4,1,5,3]=>[{2,4},{6},{3},{5},{1}]=>[2,4,6,3,5,1]
[6,1,4,3,1,5]=>[{2,5},{4},{3},{6},{1}]=>[2,5,4,3,6,1]
[6,1,4,3,5,1]=>[{2,6},{4},{3},{5},{1}]=>[2,6,4,3,5,1]
[6,1,4,5,1,3]=>[{2,5},{6},{3},{4},{1}]=>[2,5,6,3,4,1]
[6,1,4,5,3,1]=>[{2,6},{5},{3},{4},{1}]=>[2,6,5,3,4,1]
[6,1,5,1,3,4]=>[{2,4},{5},{6},{3},{1}]=>[2,4,5,6,3,1]
[6,1,5,1,4,3]=>[{2,4},{6},{5},{3},{1}]=>[2,4,6,5,3,1]
[6,1,5,3,1,4]=>[{2,5},{4},{6},{3},{1}]=>[2,5,4,6,3,1]
[6,1,5,3,4,1]=>[{2,6},{4},{5},{3},{1}]=>[2,6,4,5,3,1]
[6,1,5,4,1,3]=>[{2,5},{6},{4},{3},{1}]=>[2,5,6,4,3,1]
[6,1,5,4,3,1]=>[{2,6},{5},{4},{3},{1}]=>[2,6,5,4,3,1]
[6,3,1,1,4,5]=>[{3,4},{2},{5},{6},{1}]=>[3,4,2,5,6,1]
[6,3,1,1,5,4]=>[{3,4},{2},{6},{5},{1}]=>[3,4,2,6,5,1]
[6,3,1,4,1,5]=>[{3,5},{2},{4},{6},{1}]=>[3,5,2,4,6,1]
[6,3,1,4,5,1]=>[{3,6},{2},{4},{5},{1}]=>[3,6,2,4,5,1]
[6,3,1,5,1,4]=>[{3,5},{2},{6},{4},{1}]=>[3,5,2,6,4,1]
[6,3,1,5,4,1]=>[{3,6},{2},{5},{4},{1}]=>[3,6,2,5,4,1]
[6,3,4,1,1,5]=>[{4,5},{2},{3},{6},{1}]=>[4,5,2,3,6,1]
[6,3,4,1,5,1]=>[{4,6},{2},{3},{5},{1}]=>[4,6,2,3,5,1]
[6,3,4,5,1,1]=>[{5,6},{2},{3},{4},{1}]=>[5,6,2,3,4,1]
[6,3,5,1,1,4]=>[{4,5},{2},{6},{3},{1}]=>[4,5,2,6,3,1]
[6,3,5,1,4,1]=>[{4,6},{2},{5},{3},{1}]=>[4,6,2,5,3,1]
[6,3,5,4,1,1]=>[{5,6},{2},{4},{3},{1}]=>[5,6,2,4,3,1]
[6,4,1,1,3,5]=>[{3,4},{5},{2},{6},{1}]=>[3,4,5,2,6,1]
[6,4,1,1,5,3]=>[{3,4},{6},{2},{5},{1}]=>[3,4,6,2,5,1]
[6,4,1,3,1,5]=>[{3,5},{4},{2},{6},{1}]=>[3,5,4,2,6,1]
[6,4,1,3,5,1]=>[{3,6},{4},{2},{5},{1}]=>[3,6,4,2,5,1]
[6,4,1,5,1,3]=>[{3,5},{6},{2},{4},{1}]=>[3,5,6,2,4,1]
[6,4,1,5,3,1]=>[{3,6},{5},{2},{4},{1}]=>[3,6,5,2,4,1]
[6,4,3,1,1,5]=>[{4,5},{3},{2},{6},{1}]=>[4,5,3,2,6,1]
[6,4,3,1,5,1]=>[{4,6},{3},{2},{5},{1}]=>[4,6,3,2,5,1]
[6,4,3,5,1,1]=>[{5,6},{3},{2},{4},{1}]=>[5,6,3,2,4,1]
[6,4,5,1,1,3]=>[{4,5},{6},{2},{3},{1}]=>[4,5,6,2,3,1]
[6,4,5,1,3,1]=>[{4,6},{5},{2},{3},{1}]=>[4,6,5,2,3,1]
[6,4,5,3,1,1]=>[{5,6},{4},{2},{3},{1}]=>[5,6,4,2,3,1]
[6,5,1,1,3,4]=>[{3,4},{5},{6},{2},{1}]=>[3,4,5,6,2,1]
[6,5,1,1,4,3]=>[{3,4},{6},{5},{2},{1}]=>[3,4,6,5,2,1]
[6,5,1,3,1,4]=>[{3,5},{4},{6},{2},{1}]=>[3,5,4,6,2,1]
[6,5,1,3,4,1]=>[{3,6},{4},{5},{2},{1}]=>[3,6,4,5,2,1]
[6,5,1,4,1,3]=>[{3,5},{6},{4},{2},{1}]=>[3,5,6,4,2,1]
[6,5,1,4,3,1]=>[{3,6},{5},{4},{2},{1}]=>[3,6,5,4,2,1]
[6,5,3,1,1,4]=>[{4,5},{3},{6},{2},{1}]=>[4,5,3,6,2,1]
[6,5,3,1,4,1]=>[{4,6},{3},{5},{2},{1}]=>[4,6,3,5,2,1]
[6,5,3,4,1,1]=>[{5,6},{3},{4},{2},{1}]=>[5,6,3,4,2,1]
[6,5,4,1,1,3]=>[{4,5},{6},{3},{2},{1}]=>[4,5,6,3,2,1]
[6,5,4,1,3,1]=>[{4,6},{5},{3},{2},{1}]=>[4,6,5,3,2,1]
[6,5,4,3,1,1]=>[{5,6},{4},{3},{2},{1}]=>[5,6,4,3,2,1]
[1,2,2,2,2,2]=>[{1},{2,3,4,5,6}]=>[1,2,3,4,5,6]
[2,1,2,2,2,2]=>[{2},{1,3,4,5,6}]=>[2,1,3,4,5,6]
[2,2,1,2,2,2]=>[{3},{1,2,4,5,6}]=>[3,1,2,4,5,6]
[2,2,2,1,2,2]=>[{4},{1,2,3,5,6}]=>[4,1,2,3,5,6]
[2,2,2,2,1,2]=>[{5},{1,2,3,4,6}]=>[5,1,2,3,4,6]
[2,2,2,2,2,1]=>[{6},{1,2,3,4,5}]=>[6,1,2,3,4,5]
[1,2,2,2,2,3]=>[{1},{2,3,4,5},{6}]=>[1,2,3,4,5,6]
[1,2,2,2,3,2]=>[{1},{2,3,4,6},{5}]=>[1,2,3,4,6,5]
[1,2,2,3,2,2]=>[{1},{2,3,5,6},{4}]=>[1,2,3,5,6,4]
[1,2,3,2,2,2]=>[{1},{2,4,5,6},{3}]=>[1,2,4,5,6,3]
[1,3,2,2,2,2]=>[{1},{3,4,5,6},{2}]=>[1,3,4,5,6,2]
[2,1,2,2,2,3]=>[{2},{1,3,4,5},{6}]=>[2,1,3,4,5,6]
[2,1,2,2,3,2]=>[{2},{1,3,4,6},{5}]=>[2,1,3,4,6,5]
[2,1,2,3,2,2]=>[{2},{1,3,5,6},{4}]=>[2,1,3,5,6,4]
[2,1,3,2,2,2]=>[{2},{1,4,5,6},{3}]=>[2,1,4,5,6,3]
[2,2,1,2,2,3]=>[{3},{1,2,4,5},{6}]=>[3,1,2,4,5,6]
[2,2,1,2,3,2]=>[{3},{1,2,4,6},{5}]=>[3,1,2,4,6,5]
[2,2,1,3,2,2]=>[{3},{1,2,5,6},{4}]=>[3,1,2,5,6,4]
[2,2,2,1,2,3]=>[{4},{1,2,3,5},{6}]=>[4,1,2,3,5,6]
[2,2,2,1,3,2]=>[{4},{1,2,3,6},{5}]=>[4,1,2,3,6,5]
[2,2,2,2,1,3]=>[{5},{1,2,3,4},{6}]=>[5,1,2,3,4,6]
[2,2,2,2,3,1]=>[{6},{1,2,3,4},{5}]=>[6,1,2,3,4,5]
[2,2,2,3,1,2]=>[{5},{1,2,3,6},{4}]=>[5,1,2,3,6,4]
[2,2,2,3,2,1]=>[{6},{1,2,3,5},{4}]=>[6,1,2,3,5,4]
[2,2,3,1,2,2]=>[{4},{1,2,5,6},{3}]=>[4,1,2,5,6,3]
[2,2,3,2,1,2]=>[{5},{1,2,4,6},{3}]=>[5,1,2,4,6,3]
[2,2,3,2,2,1]=>[{6},{1,2,4,5},{3}]=>[6,1,2,4,5,3]
[2,3,1,2,2,2]=>[{3},{1,4,5,6},{2}]=>[3,1,4,5,6,2]
[2,3,2,1,2,2]=>[{4},{1,3,5,6},{2}]=>[4,1,3,5,6,2]
[2,3,2,2,1,2]=>[{5},{1,3,4,6},{2}]=>[5,1,3,4,6,2]
[2,3,2,2,2,1]=>[{6},{1,3,4,5},{2}]=>[6,1,3,4,5,2]
[3,1,2,2,2,2]=>[{2},{3,4,5,6},{1}]=>[2,3,4,5,6,1]
[3,2,1,2,2,2]=>[{3},{2,4,5,6},{1}]=>[3,2,4,5,6,1]
[3,2,2,1,2,2]=>[{4},{2,3,5,6},{1}]=>[4,2,3,5,6,1]
[3,2,2,2,1,2]=>[{5},{2,3,4,6},{1}]=>[5,2,3,4,6,1]
[3,2,2,2,2,1]=>[{6},{2,3,4,5},{1}]=>[6,2,3,4,5,1]
[1,2,2,2,2,4]=>[{1},{2,3,4,5},{6}]=>[1,2,3,4,5,6]
[1,2,2,2,4,2]=>[{1},{2,3,4,6},{5}]=>[1,2,3,4,6,5]
[1,2,2,4,2,2]=>[{1},{2,3,5,6},{4}]=>[1,2,3,5,6,4]
[1,2,4,2,2,2]=>[{1},{2,4,5,6},{3}]=>[1,2,4,5,6,3]
[1,4,2,2,2,2]=>[{1},{3,4,5,6},{2}]=>[1,3,4,5,6,2]
[2,1,2,2,2,4]=>[{2},{1,3,4,5},{6}]=>[2,1,3,4,5,6]
[2,1,2,2,4,2]=>[{2},{1,3,4,6},{5}]=>[2,1,3,4,6,5]
[2,1,2,4,2,2]=>[{2},{1,3,5,6},{4}]=>[2,1,3,5,6,4]
[2,1,4,2,2,2]=>[{2},{1,4,5,6},{3}]=>[2,1,4,5,6,3]
[2,2,1,2,2,4]=>[{3},{1,2,4,5},{6}]=>[3,1,2,4,5,6]
[2,2,1,2,4,2]=>[{3},{1,2,4,6},{5}]=>[3,1,2,4,6,5]
[2,2,1,4,2,2]=>[{3},{1,2,5,6},{4}]=>[3,1,2,5,6,4]
[2,2,2,1,2,4]=>[{4},{1,2,3,5},{6}]=>[4,1,2,3,5,6]
[2,2,2,1,4,2]=>[{4},{1,2,3,6},{5}]=>[4,1,2,3,6,5]
[2,2,2,2,1,4]=>[{5},{1,2,3,4},{6}]=>[5,1,2,3,4,6]
[2,2,2,2,4,1]=>[{6},{1,2,3,4},{5}]=>[6,1,2,3,4,5]
[2,2,2,4,1,2]=>[{5},{1,2,3,6},{4}]=>[5,1,2,3,6,4]
[2,2,2,4,2,1]=>[{6},{1,2,3,5},{4}]=>[6,1,2,3,5,4]
[2,2,4,1,2,2]=>[{4},{1,2,5,6},{3}]=>[4,1,2,5,6,3]
[2,2,4,2,1,2]=>[{5},{1,2,4,6},{3}]=>[5,1,2,4,6,3]
[2,2,4,2,2,1]=>[{6},{1,2,4,5},{3}]=>[6,1,2,4,5,3]
[2,4,1,2,2,2]=>[{3},{1,4,5,6},{2}]=>[3,1,4,5,6,2]
[2,4,2,1,2,2]=>[{4},{1,3,5,6},{2}]=>[4,1,3,5,6,2]
[2,4,2,2,1,2]=>[{5},{1,3,4,6},{2}]=>[5,1,3,4,6,2]
[2,4,2,2,2,1]=>[{6},{1,3,4,5},{2}]=>[6,1,3,4,5,2]
[4,1,2,2,2,2]=>[{2},{3,4,5,6},{1}]=>[2,3,4,5,6,1]
[4,2,1,2,2,2]=>[{3},{2,4,5,6},{1}]=>[3,2,4,5,6,1]
[4,2,2,1,2,2]=>[{4},{2,3,5,6},{1}]=>[4,2,3,5,6,1]
[4,2,2,2,1,2]=>[{5},{2,3,4,6},{1}]=>[5,2,3,4,6,1]
[4,2,2,2,2,1]=>[{6},{2,3,4,5},{1}]=>[6,2,3,4,5,1]
[1,2,2,2,2,5]=>[{1},{2,3,4,5},{6}]=>[1,2,3,4,5,6]
[1,2,2,2,5,2]=>[{1},{2,3,4,6},{5}]=>[1,2,3,4,6,5]
[1,2,2,5,2,2]=>[{1},{2,3,5,6},{4}]=>[1,2,3,5,6,4]
[1,2,5,2,2,2]=>[{1},{2,4,5,6},{3}]=>[1,2,4,5,6,3]
[1,5,2,2,2,2]=>[{1},{3,4,5,6},{2}]=>[1,3,4,5,6,2]
[2,1,2,2,2,5]=>[{2},{1,3,4,5},{6}]=>[2,1,3,4,5,6]
[2,1,2,2,5,2]=>[{2},{1,3,4,6},{5}]=>[2,1,3,4,6,5]
[2,1,2,5,2,2]=>[{2},{1,3,5,6},{4}]=>[2,1,3,5,6,4]
[2,1,5,2,2,2]=>[{2},{1,4,5,6},{3}]=>[2,1,4,5,6,3]
[2,2,1,2,2,5]=>[{3},{1,2,4,5},{6}]=>[3,1,2,4,5,6]
[2,2,1,2,5,2]=>[{3},{1,2,4,6},{5}]=>[3,1,2,4,6,5]
[2,2,1,5,2,2]=>[{3},{1,2,5,6},{4}]=>[3,1,2,5,6,4]
[2,2,2,1,2,5]=>[{4},{1,2,3,5},{6}]=>[4,1,2,3,5,6]
[2,2,2,1,5,2]=>[{4},{1,2,3,6},{5}]=>[4,1,2,3,6,5]
[2,2,2,2,1,5]=>[{5},{1,2,3,4},{6}]=>[5,1,2,3,4,6]
[2,2,2,2,5,1]=>[{6},{1,2,3,4},{5}]=>[6,1,2,3,4,5]
[2,2,2,5,1,2]=>[{5},{1,2,3,6},{4}]=>[5,1,2,3,6,4]
[2,2,2,5,2,1]=>[{6},{1,2,3,5},{4}]=>[6,1,2,3,5,4]
[2,2,5,1,2,2]=>[{4},{1,2,5,6},{3}]=>[4,1,2,5,6,3]
[2,2,5,2,1,2]=>[{5},{1,2,4,6},{3}]=>[5,1,2,4,6,3]
[2,2,5,2,2,1]=>[{6},{1,2,4,5},{3}]=>[6,1,2,4,5,3]
[2,5,1,2,2,2]=>[{3},{1,4,5,6},{2}]=>[3,1,4,5,6,2]
[2,5,2,1,2,2]=>[{4},{1,3,5,6},{2}]=>[4,1,3,5,6,2]
[2,5,2,2,1,2]=>[{5},{1,3,4,6},{2}]=>[5,1,3,4,6,2]
[2,5,2,2,2,1]=>[{6},{1,3,4,5},{2}]=>[6,1,3,4,5,2]
[5,1,2,2,2,2]=>[{2},{3,4,5,6},{1}]=>[2,3,4,5,6,1]
[5,2,1,2,2,2]=>[{3},{2,4,5,6},{1}]=>[3,2,4,5,6,1]
[5,2,2,1,2,2]=>[{4},{2,3,5,6},{1}]=>[4,2,3,5,6,1]
[5,2,2,2,1,2]=>[{5},{2,3,4,6},{1}]=>[5,2,3,4,6,1]
[5,2,2,2,2,1]=>[{6},{2,3,4,5},{1}]=>[6,2,3,4,5,1]
[1,2,2,2,2,6]=>[{1},{2,3,4,5},{6}]=>[1,2,3,4,5,6]
[1,2,2,2,6,2]=>[{1},{2,3,4,6},{5}]=>[1,2,3,4,6,5]
[1,2,2,6,2,2]=>[{1},{2,3,5,6},{4}]=>[1,2,3,5,6,4]
[1,2,6,2,2,2]=>[{1},{2,4,5,6},{3}]=>[1,2,4,5,6,3]
[1,6,2,2,2,2]=>[{1},{3,4,5,6},{2}]=>[1,3,4,5,6,2]
[2,1,2,2,2,6]=>[{2},{1,3,4,5},{6}]=>[2,1,3,4,5,6]
[2,1,2,2,6,2]=>[{2},{1,3,4,6},{5}]=>[2,1,3,4,6,5]
[2,1,2,6,2,2]=>[{2},{1,3,5,6},{4}]=>[2,1,3,5,6,4]
[2,1,6,2,2,2]=>[{2},{1,4,5,6},{3}]=>[2,1,4,5,6,3]
[2,2,1,2,2,6]=>[{3},{1,2,4,5},{6}]=>[3,1,2,4,5,6]
[2,2,1,2,6,2]=>[{3},{1,2,4,6},{5}]=>[3,1,2,4,6,5]
[2,2,1,6,2,2]=>[{3},{1,2,5,6},{4}]=>[3,1,2,5,6,4]
[2,2,2,1,2,6]=>[{4},{1,2,3,5},{6}]=>[4,1,2,3,5,6]
[2,2,2,1,6,2]=>[{4},{1,2,3,6},{5}]=>[4,1,2,3,6,5]
[2,2,2,2,1,6]=>[{5},{1,2,3,4},{6}]=>[5,1,2,3,4,6]
[2,2,2,2,6,1]=>[{6},{1,2,3,4},{5}]=>[6,1,2,3,4,5]
[2,2,2,6,1,2]=>[{5},{1,2,3,6},{4}]=>[5,1,2,3,6,4]
[2,2,2,6,2,1]=>[{6},{1,2,3,5},{4}]=>[6,1,2,3,5,4]
[2,2,6,1,2,2]=>[{4},{1,2,5,6},{3}]=>[4,1,2,5,6,3]
[2,2,6,2,1,2]=>[{5},{1,2,4,6},{3}]=>[5,1,2,4,6,3]
[2,2,6,2,2,1]=>[{6},{1,2,4,5},{3}]=>[6,1,2,4,5,3]
[2,6,1,2,2,2]=>[{3},{1,4,5,6},{2}]=>[3,1,4,5,6,2]
[2,6,2,1,2,2]=>[{4},{1,3,5,6},{2}]=>[4,1,3,5,6,2]
[2,6,2,2,1,2]=>[{5},{1,3,4,6},{2}]=>[5,1,3,4,6,2]
[2,6,2,2,2,1]=>[{6},{1,3,4,5},{2}]=>[6,1,3,4,5,2]
[6,1,2,2,2,2]=>[{2},{3,4,5,6},{1}]=>[2,3,4,5,6,1]
[6,2,1,2,2,2]=>[{3},{2,4,5,6},{1}]=>[3,2,4,5,6,1]
[6,2,2,1,2,2]=>[{4},{2,3,5,6},{1}]=>[4,2,3,5,6,1]
[6,2,2,2,1,2]=>[{5},{2,3,4,6},{1}]=>[5,2,3,4,6,1]
[6,2,2,2,2,1]=>[{6},{2,3,4,5},{1}]=>[6,2,3,4,5,1]
[1,2,2,2,3,3]=>[{1},{2,3,4},{5,6}]=>[1,2,3,4,5,6]
[1,2,2,3,2,3]=>[{1},{2,3,5},{4,6}]=>[1,2,3,5,4,6]
[1,2,2,3,3,2]=>[{1},{2,3,6},{4,5}]=>[1,2,3,6,4,5]
[1,2,3,2,2,3]=>[{1},{2,4,5},{3,6}]=>[1,2,4,5,3,6]
[1,2,3,2,3,2]=>[{1},{2,4,6},{3,5}]=>[1,2,4,6,3,5]
[1,2,3,3,2,2]=>[{1},{2,5,6},{3,4}]=>[1,2,5,6,3,4]
[1,3,2,2,2,3]=>[{1},{3,4,5},{2,6}]=>[1,3,4,5,2,6]
[1,3,2,2,3,2]=>[{1},{3,4,6},{2,5}]=>[1,3,4,6,2,5]
[1,3,2,3,2,2]=>[{1},{3,5,6},{2,4}]=>[1,3,5,6,2,4]
[1,3,3,2,2,2]=>[{1},{4,5,6},{2,3}]=>[1,4,5,6,2,3]
[2,1,2,2,3,3]=>[{2},{1,3,4},{5,6}]=>[2,1,3,4,5,6]
[2,1,2,3,2,3]=>[{2},{1,3,5},{4,6}]=>[2,1,3,5,4,6]
[2,1,2,3,3,2]=>[{2},{1,3,6},{4,5}]=>[2,1,3,6,4,5]
[2,1,3,2,2,3]=>[{2},{1,4,5},{3,6}]=>[2,1,4,5,3,6]
[2,1,3,2,3,2]=>[{2},{1,4,6},{3,5}]=>[2,1,4,6,3,5]
[2,1,3,3,2,2]=>[{2},{1,5,6},{3,4}]=>[2,1,5,6,3,4]
[2,2,1,2,3,3]=>[{3},{1,2,4},{5,6}]=>[3,1,2,4,5,6]
[2,2,1,3,2,3]=>[{3},{1,2,5},{4,6}]=>[3,1,2,5,4,6]
[2,2,1,3,3,2]=>[{3},{1,2,6},{4,5}]=>[3,1,2,6,4,5]
[2,2,2,1,3,3]=>[{4},{1,2,3},{5,6}]=>[4,1,2,3,5,6]
[2,2,2,3,1,3]=>[{5},{1,2,3},{4,6}]=>[5,1,2,3,4,6]
[2,2,2,3,3,1]=>[{6},{1,2,3},{4,5}]=>[6,1,2,3,4,5]
[2,2,3,1,2,3]=>[{4},{1,2,5},{3,6}]=>[4,1,2,5,3,6]
[2,2,3,1,3,2]=>[{4},{1,2,6},{3,5}]=>[4,1,2,6,3,5]
[2,2,3,2,1,3]=>[{5},{1,2,4},{3,6}]=>[5,1,2,4,3,6]
[2,2,3,2,3,1]=>[{6},{1,2,4},{3,5}]=>[6,1,2,4,3,5]
[2,2,3,3,1,2]=>[{5},{1,2,6},{3,4}]=>[5,1,2,6,3,4]
[2,2,3,3,2,1]=>[{6},{1,2,5},{3,4}]=>[6,1,2,5,3,4]
[2,3,1,2,2,3]=>[{3},{1,4,5},{2,6}]=>[3,1,4,5,2,6]
[2,3,1,2,3,2]=>[{3},{1,4,6},{2,5}]=>[3,1,4,6,2,5]
[2,3,1,3,2,2]=>[{3},{1,5,6},{2,4}]=>[3,1,5,6,2,4]
[2,3,2,1,2,3]=>[{4},{1,3,5},{2,6}]=>[4,1,3,5,2,6]
[2,3,2,1,3,2]=>[{4},{1,3,6},{2,5}]=>[4,1,3,6,2,5]
[2,3,2,2,1,3]=>[{5},{1,3,4},{2,6}]=>[5,1,3,4,2,6]
[2,3,2,2,3,1]=>[{6},{1,3,4},{2,5}]=>[6,1,3,4,2,5]
[2,3,2,3,1,2]=>[{5},{1,3,6},{2,4}]=>[5,1,3,6,2,4]
[2,3,2,3,2,1]=>[{6},{1,3,5},{2,4}]=>[6,1,3,5,2,4]
[2,3,3,1,2,2]=>[{4},{1,5,6},{2,3}]=>[4,1,5,6,2,3]
[2,3,3,2,1,2]=>[{5},{1,4,6},{2,3}]=>[5,1,4,6,2,3]
[2,3,3,2,2,1]=>[{6},{1,4,5},{2,3}]=>[6,1,4,5,2,3]
[3,1,2,2,2,3]=>[{2},{3,4,5},{1,6}]=>[2,3,4,5,1,6]
[3,1,2,2,3,2]=>[{2},{3,4,6},{1,5}]=>[2,3,4,6,1,5]
[3,1,2,3,2,2]=>[{2},{3,5,6},{1,4}]=>[2,3,5,6,1,4]
[3,1,3,2,2,2]=>[{2},{4,5,6},{1,3}]=>[2,4,5,6,1,3]
[3,2,1,2,2,3]=>[{3},{2,4,5},{1,6}]=>[3,2,4,5,1,6]
[3,2,1,2,3,2]=>[{3},{2,4,6},{1,5}]=>[3,2,4,6,1,5]
[3,2,1,3,2,2]=>[{3},{2,5,6},{1,4}]=>[3,2,5,6,1,4]
[3,2,2,1,2,3]=>[{4},{2,3,5},{1,6}]=>[4,2,3,5,1,6]
[3,2,2,1,3,2]=>[{4},{2,3,6},{1,5}]=>[4,2,3,6,1,5]
[3,2,2,2,1,3]=>[{5},{2,3,4},{1,6}]=>[5,2,3,4,1,6]
[3,2,2,2,3,1]=>[{6},{2,3,4},{1,5}]=>[6,2,3,4,1,5]
[3,2,2,3,1,2]=>[{5},{2,3,6},{1,4}]=>[5,2,3,6,1,4]
[3,2,2,3,2,1]=>[{6},{2,3,5},{1,4}]=>[6,2,3,5,1,4]
[3,2,3,1,2,2]=>[{4},{2,5,6},{1,3}]=>[4,2,5,6,1,3]
[3,2,3,2,1,2]=>[{5},{2,4,6},{1,3}]=>[5,2,4,6,1,3]
[3,2,3,2,2,1]=>[{6},{2,4,5},{1,3}]=>[6,2,4,5,1,3]
[3,3,1,2,2,2]=>[{3},{4,5,6},{1,2}]=>[3,4,5,6,1,2]
[3,3,2,1,2,2]=>[{4},{3,5,6},{1,2}]=>[4,3,5,6,1,2]
[3,3,2,2,1,2]=>[{5},{3,4,6},{1,2}]=>[5,3,4,6,1,2]
[3,3,2,2,2,1]=>[{6},{3,4,5},{1,2}]=>[6,3,4,5,1,2]
[1,2,2,2,3,4]=>[{1},{2,3,4},{5},{6}]=>[1,2,3,4,5,6]
[1,2,2,2,4,3]=>[{1},{2,3,4},{6},{5}]=>[1,2,3,4,6,5]
[1,2,2,3,2,4]=>[{1},{2,3,5},{4},{6}]=>[1,2,3,5,4,6]
[1,2,2,3,4,2]=>[{1},{2,3,6},{4},{5}]=>[1,2,3,6,4,5]
[1,2,2,4,2,3]=>[{1},{2,3,5},{6},{4}]=>[1,2,3,5,6,4]
[1,2,2,4,3,2]=>[{1},{2,3,6},{5},{4}]=>[1,2,3,6,5,4]
[1,2,3,2,2,4]=>[{1},{2,4,5},{3},{6}]=>[1,2,4,5,3,6]
[1,2,3,2,4,2]=>[{1},{2,4,6},{3},{5}]=>[1,2,4,6,3,5]
[1,2,3,4,2,2]=>[{1},{2,5,6},{3},{4}]=>[1,2,5,6,3,4]
[1,2,4,2,2,3]=>[{1},{2,4,5},{6},{3}]=>[1,2,4,5,6,3]
[1,2,4,2,3,2]=>[{1},{2,4,6},{5},{3}]=>[1,2,4,6,5,3]
[1,2,4,3,2,2]=>[{1},{2,5,6},{4},{3}]=>[1,2,5,6,4,3]
[1,3,2,2,2,4]=>[{1},{3,4,5},{2},{6}]=>[1,3,4,5,2,6]
[1,3,2,2,4,2]=>[{1},{3,4,6},{2},{5}]=>[1,3,4,6,2,5]
[1,3,2,4,2,2]=>[{1},{3,5,6},{2},{4}]=>[1,3,5,6,2,4]
[1,3,4,2,2,2]=>[{1},{4,5,6},{2},{3}]=>[1,4,5,6,2,3]
[1,4,2,2,2,3]=>[{1},{3,4,5},{6},{2}]=>[1,3,4,5,6,2]
[1,4,2,2,3,2]=>[{1},{3,4,6},{5},{2}]=>[1,3,4,6,5,2]
[1,4,2,3,2,2]=>[{1},{3,5,6},{4},{2}]=>[1,3,5,6,4,2]
[1,4,3,2,2,2]=>[{1},{4,5,6},{3},{2}]=>[1,4,5,6,3,2]
[2,1,2,2,3,4]=>[{2},{1,3,4},{5},{6}]=>[2,1,3,4,5,6]
[2,1,2,2,4,3]=>[{2},{1,3,4},{6},{5}]=>[2,1,3,4,6,5]
[2,1,2,3,2,4]=>[{2},{1,3,5},{4},{6}]=>[2,1,3,5,4,6]
[2,1,2,3,4,2]=>[{2},{1,3,6},{4},{5}]=>[2,1,3,6,4,5]
[2,1,2,4,2,3]=>[{2},{1,3,5},{6},{4}]=>[2,1,3,5,6,4]
[2,1,2,4,3,2]=>[{2},{1,3,6},{5},{4}]=>[2,1,3,6,5,4]
[2,1,3,2,2,4]=>[{2},{1,4,5},{3},{6}]=>[2,1,4,5,3,6]
[2,1,3,2,4,2]=>[{2},{1,4,6},{3},{5}]=>[2,1,4,6,3,5]
[2,1,3,4,2,2]=>[{2},{1,5,6},{3},{4}]=>[2,1,5,6,3,4]
[2,1,4,2,2,3]=>[{2},{1,4,5},{6},{3}]=>[2,1,4,5,6,3]
[2,1,4,2,3,2]=>[{2},{1,4,6},{5},{3}]=>[2,1,4,6,5,3]
[2,1,4,3,2,2]=>[{2},{1,5,6},{4},{3}]=>[2,1,5,6,4,3]
[2,2,1,2,3,4]=>[{3},{1,2,4},{5},{6}]=>[3,1,2,4,5,6]
[2,2,1,2,4,3]=>[{3},{1,2,4},{6},{5}]=>[3,1,2,4,6,5]
[2,2,1,3,2,4]=>[{3},{1,2,5},{4},{6}]=>[3,1,2,5,4,6]
[2,2,1,3,4,2]=>[{3},{1,2,6},{4},{5}]=>[3,1,2,6,4,5]
[2,2,1,4,2,3]=>[{3},{1,2,5},{6},{4}]=>[3,1,2,5,6,4]
[2,2,1,4,3,2]=>[{3},{1,2,6},{5},{4}]=>[3,1,2,6,5,4]
[2,2,2,1,3,4]=>[{4},{1,2,3},{5},{6}]=>[4,1,2,3,5,6]
[2,2,2,1,4,3]=>[{4},{1,2,3},{6},{5}]=>[4,1,2,3,6,5]
[2,2,2,3,1,4]=>[{5},{1,2,3},{4},{6}]=>[5,1,2,3,4,6]
[2,2,2,3,4,1]=>[{6},{1,2,3},{4},{5}]=>[6,1,2,3,4,5]
[2,2,2,4,1,3]=>[{5},{1,2,3},{6},{4}]=>[5,1,2,3,6,4]
[2,2,2,4,3,1]=>[{6},{1,2,3},{5},{4}]=>[6,1,2,3,5,4]
[2,2,3,1,2,4]=>[{4},{1,2,5},{3},{6}]=>[4,1,2,5,3,6]
[2,2,3,1,4,2]=>[{4},{1,2,6},{3},{5}]=>[4,1,2,6,3,5]
[2,2,3,2,1,4]=>[{5},{1,2,4},{3},{6}]=>[5,1,2,4,3,6]
[2,2,3,2,4,1]=>[{6},{1,2,4},{3},{5}]=>[6,1,2,4,3,5]
[2,2,3,4,1,2]=>[{5},{1,2,6},{3},{4}]=>[5,1,2,6,3,4]
[2,2,3,4,2,1]=>[{6},{1,2,5},{3},{4}]=>[6,1,2,5,3,4]
[2,2,4,1,2,3]=>[{4},{1,2,5},{6},{3}]=>[4,1,2,5,6,3]
[2,2,4,1,3,2]=>[{4},{1,2,6},{5},{3}]=>[4,1,2,6,5,3]
[2,2,4,2,1,3]=>[{5},{1,2,4},{6},{3}]=>[5,1,2,4,6,3]
[2,2,4,2,3,1]=>[{6},{1,2,4},{5},{3}]=>[6,1,2,4,5,3]
[2,2,4,3,1,2]=>[{5},{1,2,6},{4},{3}]=>[5,1,2,6,4,3]
[2,2,4,3,2,1]=>[{6},{1,2,5},{4},{3}]=>[6,1,2,5,4,3]
[2,3,1,2,2,4]=>[{3},{1,4,5},{2},{6}]=>[3,1,4,5,2,6]
[2,3,1,2,4,2]=>[{3},{1,4,6},{2},{5}]=>[3,1,4,6,2,5]
[2,3,1,4,2,2]=>[{3},{1,5,6},{2},{4}]=>[3,1,5,6,2,4]
[2,3,2,1,2,4]=>[{4},{1,3,5},{2},{6}]=>[4,1,3,5,2,6]
[2,3,2,1,4,2]=>[{4},{1,3,6},{2},{5}]=>[4,1,3,6,2,5]
[2,3,2,2,1,4]=>[{5},{1,3,4},{2},{6}]=>[5,1,3,4,2,6]
[2,3,2,2,4,1]=>[{6},{1,3,4},{2},{5}]=>[6,1,3,4,2,5]
[2,3,2,4,1,2]=>[{5},{1,3,6},{2},{4}]=>[5,1,3,6,2,4]
[2,3,2,4,2,1]=>[{6},{1,3,5},{2},{4}]=>[6,1,3,5,2,4]
[2,3,4,1,2,2]=>[{4},{1,5,6},{2},{3}]=>[4,1,5,6,2,3]
[2,3,4,2,1,2]=>[{5},{1,4,6},{2},{3}]=>[5,1,4,6,2,3]
[2,3,4,2,2,1]=>[{6},{1,4,5},{2},{3}]=>[6,1,4,5,2,3]
[2,4,1,2,2,3]=>[{3},{1,4,5},{6},{2}]=>[3,1,4,5,6,2]
[2,4,1,2,3,2]=>[{3},{1,4,6},{5},{2}]=>[3,1,4,6,5,2]
[2,4,1,3,2,2]=>[{3},{1,5,6},{4},{2}]=>[3,1,5,6,4,2]
[2,4,2,1,2,3]=>[{4},{1,3,5},{6},{2}]=>[4,1,3,5,6,2]
[2,4,2,1,3,2]=>[{4},{1,3,6},{5},{2}]=>[4,1,3,6,5,2]
[2,4,2,2,1,3]=>[{5},{1,3,4},{6},{2}]=>[5,1,3,4,6,2]
[2,4,2,2,3,1]=>[{6},{1,3,4},{5},{2}]=>[6,1,3,4,5,2]
[2,4,2,3,1,2]=>[{5},{1,3,6},{4},{2}]=>[5,1,3,6,4,2]
[2,4,2,3,2,1]=>[{6},{1,3,5},{4},{2}]=>[6,1,3,5,4,2]
[2,4,3,1,2,2]=>[{4},{1,5,6},{3},{2}]=>[4,1,5,6,3,2]
[2,4,3,2,1,2]=>[{5},{1,4,6},{3},{2}]=>[5,1,4,6,3,2]
[2,4,3,2,2,1]=>[{6},{1,4,5},{3},{2}]=>[6,1,4,5,3,2]
[3,1,2,2,2,4]=>[{2},{3,4,5},{1},{6}]=>[2,3,4,5,1,6]
[3,1,2,2,4,2]=>[{2},{3,4,6},{1},{5}]=>[2,3,4,6,1,5]
[3,1,2,4,2,2]=>[{2},{3,5,6},{1},{4}]=>[2,3,5,6,1,4]
[3,1,4,2,2,2]=>[{2},{4,5,6},{1},{3}]=>[2,4,5,6,1,3]
[3,2,1,2,2,4]=>[{3},{2,4,5},{1},{6}]=>[3,2,4,5,1,6]
[3,2,1,2,4,2]=>[{3},{2,4,6},{1},{5}]=>[3,2,4,6,1,5]
[3,2,1,4,2,2]=>[{3},{2,5,6},{1},{4}]=>[3,2,5,6,1,4]
[3,2,2,1,2,4]=>[{4},{2,3,5},{1},{6}]=>[4,2,3,5,1,6]
[3,2,2,1,4,2]=>[{4},{2,3,6},{1},{5}]=>[4,2,3,6,1,5]
[3,2,2,2,1,4]=>[{5},{2,3,4},{1},{6}]=>[5,2,3,4,1,6]
[3,2,2,2,4,1]=>[{6},{2,3,4},{1},{5}]=>[6,2,3,4,1,5]
[3,2,2,4,1,2]=>[{5},{2,3,6},{1},{4}]=>[5,2,3,6,1,4]
[3,2,2,4,2,1]=>[{6},{2,3,5},{1},{4}]=>[6,2,3,5,1,4]
[3,2,4,1,2,2]=>[{4},{2,5,6},{1},{3}]=>[4,2,5,6,1,3]
[3,2,4,2,1,2]=>[{5},{2,4,6},{1},{3}]=>[5,2,4,6,1,3]
[3,2,4,2,2,1]=>[{6},{2,4,5},{1},{3}]=>[6,2,4,5,1,3]
[3,4,1,2,2,2]=>[{3},{4,5,6},{1},{2}]=>[3,4,5,6,1,2]
[3,4,2,1,2,2]=>[{4},{3,5,6},{1},{2}]=>[4,3,5,6,1,2]
[3,4,2,2,1,2]=>[{5},{3,4,6},{1},{2}]=>[5,3,4,6,1,2]
[3,4,2,2,2,1]=>[{6},{3,4,5},{1},{2}]=>[6,3,4,5,1,2]
[4,1,2,2,2,3]=>[{2},{3,4,5},{6},{1}]=>[2,3,4,5,6,1]
[4,1,2,2,3,2]=>[{2},{3,4,6},{5},{1}]=>[2,3,4,6,5,1]
[4,1,2,3,2,2]=>[{2},{3,5,6},{4},{1}]=>[2,3,5,6,4,1]
[4,1,3,2,2,2]=>[{2},{4,5,6},{3},{1}]=>[2,4,5,6,3,1]
[4,2,1,2,2,3]=>[{3},{2,4,5},{6},{1}]=>[3,2,4,5,6,1]
[4,2,1,2,3,2]=>[{3},{2,4,6},{5},{1}]=>[3,2,4,6,5,1]
[4,2,1,3,2,2]=>[{3},{2,5,6},{4},{1}]=>[3,2,5,6,4,1]
[4,2,2,1,2,3]=>[{4},{2,3,5},{6},{1}]=>[4,2,3,5,6,1]
[4,2,2,1,3,2]=>[{4},{2,3,6},{5},{1}]=>[4,2,3,6,5,1]
[4,2,2,2,1,3]=>[{5},{2,3,4},{6},{1}]=>[5,2,3,4,6,1]
[4,2,2,2,3,1]=>[{6},{2,3,4},{5},{1}]=>[6,2,3,4,5,1]
[4,2,2,3,1,2]=>[{5},{2,3,6},{4},{1}]=>[5,2,3,6,4,1]
[4,2,2,3,2,1]=>[{6},{2,3,5},{4},{1}]=>[6,2,3,5,4,1]
[4,2,3,1,2,2]=>[{4},{2,5,6},{3},{1}]=>[4,2,5,6,3,1]
[4,2,3,2,1,2]=>[{5},{2,4,6},{3},{1}]=>[5,2,4,6,3,1]
[4,2,3,2,2,1]=>[{6},{2,4,5},{3},{1}]=>[6,2,4,5,3,1]
[4,3,1,2,2,2]=>[{3},{4,5,6},{2},{1}]=>[3,4,5,6,2,1]
[4,3,2,1,2,2]=>[{4},{3,5,6},{2},{1}]=>[4,3,5,6,2,1]
[4,3,2,2,1,2]=>[{5},{3,4,6},{2},{1}]=>[5,3,4,6,2,1]
[4,3,2,2,2,1]=>[{6},{3,4,5},{2},{1}]=>[6,3,4,5,2,1]
[1,2,2,2,3,5]=>[{1},{2,3,4},{5},{6}]=>[1,2,3,4,5,6]
[1,2,2,2,5,3]=>[{1},{2,3,4},{6},{5}]=>[1,2,3,4,6,5]
[1,2,2,3,2,5]=>[{1},{2,3,5},{4},{6}]=>[1,2,3,5,4,6]
[1,2,2,3,5,2]=>[{1},{2,3,6},{4},{5}]=>[1,2,3,6,4,5]
[1,2,2,5,2,3]=>[{1},{2,3,5},{6},{4}]=>[1,2,3,5,6,4]
[1,2,2,5,3,2]=>[{1},{2,3,6},{5},{4}]=>[1,2,3,6,5,4]
[1,2,3,2,2,5]=>[{1},{2,4,5},{3},{6}]=>[1,2,4,5,3,6]
[1,2,3,2,5,2]=>[{1},{2,4,6},{3},{5}]=>[1,2,4,6,3,5]
[1,2,3,5,2,2]=>[{1},{2,5,6},{3},{4}]=>[1,2,5,6,3,4]
[1,2,5,2,2,3]=>[{1},{2,4,5},{6},{3}]=>[1,2,4,5,6,3]
[1,2,5,2,3,2]=>[{1},{2,4,6},{5},{3}]=>[1,2,4,6,5,3]
[1,2,5,3,2,2]=>[{1},{2,5,6},{4},{3}]=>[1,2,5,6,4,3]
[1,3,2,2,2,5]=>[{1},{3,4,5},{2},{6}]=>[1,3,4,5,2,6]
[1,3,2,2,5,2]=>[{1},{3,4,6},{2},{5}]=>[1,3,4,6,2,5]
[1,3,2,5,2,2]=>[{1},{3,5,6},{2},{4}]=>[1,3,5,6,2,4]
[1,3,5,2,2,2]=>[{1},{4,5,6},{2},{3}]=>[1,4,5,6,2,3]
[1,5,2,2,2,3]=>[{1},{3,4,5},{6},{2}]=>[1,3,4,5,6,2]
[1,5,2,2,3,2]=>[{1},{3,4,6},{5},{2}]=>[1,3,4,6,5,2]
[1,5,2,3,2,2]=>[{1},{3,5,6},{4},{2}]=>[1,3,5,6,4,2]
[1,5,3,2,2,2]=>[{1},{4,5,6},{3},{2}]=>[1,4,5,6,3,2]
[2,1,2,2,3,5]=>[{2},{1,3,4},{5},{6}]=>[2,1,3,4,5,6]
[2,1,2,2,5,3]=>[{2},{1,3,4},{6},{5}]=>[2,1,3,4,6,5]
[2,1,2,3,2,5]=>[{2},{1,3,5},{4},{6}]=>[2,1,3,5,4,6]
[2,1,2,3,5,2]=>[{2},{1,3,6},{4},{5}]=>[2,1,3,6,4,5]
[2,1,2,5,2,3]=>[{2},{1,3,5},{6},{4}]=>[2,1,3,5,6,4]
[2,1,2,5,3,2]=>[{2},{1,3,6},{5},{4}]=>[2,1,3,6,5,4]
[2,1,3,2,2,5]=>[{2},{1,4,5},{3},{6}]=>[2,1,4,5,3,6]
[2,1,3,2,5,2]=>[{2},{1,4,6},{3},{5}]=>[2,1,4,6,3,5]
[2,1,3,5,2,2]=>[{2},{1,5,6},{3},{4}]=>[2,1,5,6,3,4]
[2,1,5,2,2,3]=>[{2},{1,4,5},{6},{3}]=>[2,1,4,5,6,3]
[2,1,5,2,3,2]=>[{2},{1,4,6},{5},{3}]=>[2,1,4,6,5,3]
[2,1,5,3,2,2]=>[{2},{1,5,6},{4},{3}]=>[2,1,5,6,4,3]
[2,2,1,2,3,5]=>[{3},{1,2,4},{5},{6}]=>[3,1,2,4,5,6]
[2,2,1,2,5,3]=>[{3},{1,2,4},{6},{5}]=>[3,1,2,4,6,5]
[2,2,1,3,2,5]=>[{3},{1,2,5},{4},{6}]=>[3,1,2,5,4,6]
[2,2,1,3,5,2]=>[{3},{1,2,6},{4},{5}]=>[3,1,2,6,4,5]
[2,2,1,5,2,3]=>[{3},{1,2,5},{6},{4}]=>[3,1,2,5,6,4]
[2,2,1,5,3,2]=>[{3},{1,2,6},{5},{4}]=>[3,1,2,6,5,4]
[2,2,2,1,3,5]=>[{4},{1,2,3},{5},{6}]=>[4,1,2,3,5,6]
[2,2,2,1,5,3]=>[{4},{1,2,3},{6},{5}]=>[4,1,2,3,6,5]
[2,2,2,3,1,5]=>[{5},{1,2,3},{4},{6}]=>[5,1,2,3,4,6]
[2,2,2,3,5,1]=>[{6},{1,2,3},{4},{5}]=>[6,1,2,3,4,5]
[2,2,2,5,1,3]=>[{5},{1,2,3},{6},{4}]=>[5,1,2,3,6,4]
[2,2,2,5,3,1]=>[{6},{1,2,3},{5},{4}]=>[6,1,2,3,5,4]
[2,2,3,1,2,5]=>[{4},{1,2,5},{3},{6}]=>[4,1,2,5,3,6]
[2,2,3,1,5,2]=>[{4},{1,2,6},{3},{5}]=>[4,1,2,6,3,5]
[2,2,3,2,1,5]=>[{5},{1,2,4},{3},{6}]=>[5,1,2,4,3,6]
[2,2,3,2,5,1]=>[{6},{1,2,4},{3},{5}]=>[6,1,2,4,3,5]
[2,2,3,5,1,2]=>[{5},{1,2,6},{3},{4}]=>[5,1,2,6,3,4]
[2,2,3,5,2,1]=>[{6},{1,2,5},{3},{4}]=>[6,1,2,5,3,4]
[2,2,5,1,2,3]=>[{4},{1,2,5},{6},{3}]=>[4,1,2,5,6,3]
[2,2,5,1,3,2]=>[{4},{1,2,6},{5},{3}]=>[4,1,2,6,5,3]
[2,2,5,2,1,3]=>[{5},{1,2,4},{6},{3}]=>[5,1,2,4,6,3]
[2,2,5,2,3,1]=>[{6},{1,2,4},{5},{3}]=>[6,1,2,4,5,3]
[2,2,5,3,1,2]=>[{5},{1,2,6},{4},{3}]=>[5,1,2,6,4,3]
[2,2,5,3,2,1]=>[{6},{1,2,5},{4},{3}]=>[6,1,2,5,4,3]
[2,3,1,2,2,5]=>[{3},{1,4,5},{2},{6}]=>[3,1,4,5,2,6]
[2,3,1,2,5,2]=>[{3},{1,4,6},{2},{5}]=>[3,1,4,6,2,5]
[2,3,1,5,2,2]=>[{3},{1,5,6},{2},{4}]=>[3,1,5,6,2,4]
[2,3,2,1,2,5]=>[{4},{1,3,5},{2},{6}]=>[4,1,3,5,2,6]
[2,3,2,1,5,2]=>[{4},{1,3,6},{2},{5}]=>[4,1,3,6,2,5]
[2,3,2,2,1,5]=>[{5},{1,3,4},{2},{6}]=>[5,1,3,4,2,6]
[2,3,2,2,5,1]=>[{6},{1,3,4},{2},{5}]=>[6,1,3,4,2,5]
[2,3,2,5,1,2]=>[{5},{1,3,6},{2},{4}]=>[5,1,3,6,2,4]
[2,3,2,5,2,1]=>[{6},{1,3,5},{2},{4}]=>[6,1,3,5,2,4]
[2,3,5,1,2,2]=>[{4},{1,5,6},{2},{3}]=>[4,1,5,6,2,3]
[2,3,5,2,1,2]=>[{5},{1,4,6},{2},{3}]=>[5,1,4,6,2,3]
[2,3,5,2,2,1]=>[{6},{1,4,5},{2},{3}]=>[6,1,4,5,2,3]
[2,5,1,2,2,3]=>[{3},{1,4,5},{6},{2}]=>[3,1,4,5,6,2]
[2,5,1,2,3,2]=>[{3},{1,4,6},{5},{2}]=>[3,1,4,6,5,2]
[2,5,1,3,2,2]=>[{3},{1,5,6},{4},{2}]=>[3,1,5,6,4,2]
[2,5,2,1,2,3]=>[{4},{1,3,5},{6},{2}]=>[4,1,3,5,6,2]
[2,5,2,1,3,2]=>[{4},{1,3,6},{5},{2}]=>[4,1,3,6,5,2]
[2,5,2,2,1,3]=>[{5},{1,3,4},{6},{2}]=>[5,1,3,4,6,2]
[2,5,2,2,3,1]=>[{6},{1,3,4},{5},{2}]=>[6,1,3,4,5,2]
[2,5,2,3,1,2]=>[{5},{1,3,6},{4},{2}]=>[5,1,3,6,4,2]
[2,5,2,3,2,1]=>[{6},{1,3,5},{4},{2}]=>[6,1,3,5,4,2]
[2,5,3,1,2,2]=>[{4},{1,5,6},{3},{2}]=>[4,1,5,6,3,2]
[2,5,3,2,1,2]=>[{5},{1,4,6},{3},{2}]=>[5,1,4,6,3,2]
[2,5,3,2,2,1]=>[{6},{1,4,5},{3},{2}]=>[6,1,4,5,3,2]
[3,1,2,2,2,5]=>[{2},{3,4,5},{1},{6}]=>[2,3,4,5,1,6]
[3,1,2,2,5,2]=>[{2},{3,4,6},{1},{5}]=>[2,3,4,6,1,5]
[3,1,2,5,2,2]=>[{2},{3,5,6},{1},{4}]=>[2,3,5,6,1,4]
[3,1,5,2,2,2]=>[{2},{4,5,6},{1},{3}]=>[2,4,5,6,1,3]
[3,2,1,2,2,5]=>[{3},{2,4,5},{1},{6}]=>[3,2,4,5,1,6]
[3,2,1,2,5,2]=>[{3},{2,4,6},{1},{5}]=>[3,2,4,6,1,5]
[3,2,1,5,2,2]=>[{3},{2,5,6},{1},{4}]=>[3,2,5,6,1,4]
[3,2,2,1,2,5]=>[{4},{2,3,5},{1},{6}]=>[4,2,3,5,1,6]
[3,2,2,1,5,2]=>[{4},{2,3,6},{1},{5}]=>[4,2,3,6,1,5]
[3,2,2,2,1,5]=>[{5},{2,3,4},{1},{6}]=>[5,2,3,4,1,6]
[3,2,2,2,5,1]=>[{6},{2,3,4},{1},{5}]=>[6,2,3,4,1,5]
[3,2,2,5,1,2]=>[{5},{2,3,6},{1},{4}]=>[5,2,3,6,1,4]
[3,2,2,5,2,1]=>[{6},{2,3,5},{1},{4}]=>[6,2,3,5,1,4]
[3,2,5,1,2,2]=>[{4},{2,5,6},{1},{3}]=>[4,2,5,6,1,3]
[3,2,5,2,1,2]=>[{5},{2,4,6},{1},{3}]=>[5,2,4,6,1,3]
[3,2,5,2,2,1]=>[{6},{2,4,5},{1},{3}]=>[6,2,4,5,1,3]
[3,5,1,2,2,2]=>[{3},{4,5,6},{1},{2}]=>[3,4,5,6,1,2]
[3,5,2,1,2,2]=>[{4},{3,5,6},{1},{2}]=>[4,3,5,6,1,2]
[3,5,2,2,1,2]=>[{5},{3,4,6},{1},{2}]=>[5,3,4,6,1,2]
[3,5,2,2,2,1]=>[{6},{3,4,5},{1},{2}]=>[6,3,4,5,1,2]
[5,1,2,2,2,3]=>[{2},{3,4,5},{6},{1}]=>[2,3,4,5,6,1]
[5,1,2,2,3,2]=>[{2},{3,4,6},{5},{1}]=>[2,3,4,6,5,1]
[5,1,2,3,2,2]=>[{2},{3,5,6},{4},{1}]=>[2,3,5,6,4,1]
[5,1,3,2,2,2]=>[{2},{4,5,6},{3},{1}]=>[2,4,5,6,3,1]
[5,2,1,2,2,3]=>[{3},{2,4,5},{6},{1}]=>[3,2,4,5,6,1]
[5,2,1,2,3,2]=>[{3},{2,4,6},{5},{1}]=>[3,2,4,6,5,1]
[5,2,1,3,2,2]=>[{3},{2,5,6},{4},{1}]=>[3,2,5,6,4,1]
[5,2,2,1,2,3]=>[{4},{2,3,5},{6},{1}]=>[4,2,3,5,6,1]
[5,2,2,1,3,2]=>[{4},{2,3,6},{5},{1}]=>[4,2,3,6,5,1]
[5,2,2,2,1,3]=>[{5},{2,3,4},{6},{1}]=>[5,2,3,4,6,1]
[5,2,2,2,3,1]=>[{6},{2,3,4},{5},{1}]=>[6,2,3,4,5,1]
[5,2,2,3,1,2]=>[{5},{2,3,6},{4},{1}]=>[5,2,3,6,4,1]
[5,2,2,3,2,1]=>[{6},{2,3,5},{4},{1}]=>[6,2,3,5,4,1]
[5,2,3,1,2,2]=>[{4},{2,5,6},{3},{1}]=>[4,2,5,6,3,1]
[5,2,3,2,1,2]=>[{5},{2,4,6},{3},{1}]=>[5,2,4,6,3,1]
[5,2,3,2,2,1]=>[{6},{2,4,5},{3},{1}]=>[6,2,4,5,3,1]
[5,3,1,2,2,2]=>[{3},{4,5,6},{2},{1}]=>[3,4,5,6,2,1]
[5,3,2,1,2,2]=>[{4},{3,5,6},{2},{1}]=>[4,3,5,6,2,1]
[5,3,2,2,1,2]=>[{5},{3,4,6},{2},{1}]=>[5,3,4,6,2,1]
[5,3,2,2,2,1]=>[{6},{3,4,5},{2},{1}]=>[6,3,4,5,2,1]
[1,2,2,2,3,6]=>[{1},{2,3,4},{5},{6}]=>[1,2,3,4,5,6]
[1,2,2,2,6,3]=>[{1},{2,3,4},{6},{5}]=>[1,2,3,4,6,5]
[1,2,2,3,2,6]=>[{1},{2,3,5},{4},{6}]=>[1,2,3,5,4,6]
[1,2,2,3,6,2]=>[{1},{2,3,6},{4},{5}]=>[1,2,3,6,4,5]
[1,2,2,6,2,3]=>[{1},{2,3,5},{6},{4}]=>[1,2,3,5,6,4]
[1,2,2,6,3,2]=>[{1},{2,3,6},{5},{4}]=>[1,2,3,6,5,4]
[1,2,3,2,2,6]=>[{1},{2,4,5},{3},{6}]=>[1,2,4,5,3,6]
[1,2,3,2,6,2]=>[{1},{2,4,6},{3},{5}]=>[1,2,4,6,3,5]
[1,2,3,6,2,2]=>[{1},{2,5,6},{3},{4}]=>[1,2,5,6,3,4]
[1,2,6,2,2,3]=>[{1},{2,4,5},{6},{3}]=>[1,2,4,5,6,3]
[1,2,6,2,3,2]=>[{1},{2,4,6},{5},{3}]=>[1,2,4,6,5,3]
[1,2,6,3,2,2]=>[{1},{2,5,6},{4},{3}]=>[1,2,5,6,4,3]
[1,3,2,2,2,6]=>[{1},{3,4,5},{2},{6}]=>[1,3,4,5,2,6]
[1,3,2,2,6,2]=>[{1},{3,4,6},{2},{5}]=>[1,3,4,6,2,5]
[1,3,2,6,2,2]=>[{1},{3,5,6},{2},{4}]=>[1,3,5,6,2,4]
[1,3,6,2,2,2]=>[{1},{4,5,6},{2},{3}]=>[1,4,5,6,2,3]
[1,6,2,2,2,3]=>[{1},{3,4,5},{6},{2}]=>[1,3,4,5,6,2]
[1,6,2,2,3,2]=>[{1},{3,4,6},{5},{2}]=>[1,3,4,6,5,2]
[1,6,2,3,2,2]=>[{1},{3,5,6},{4},{2}]=>[1,3,5,6,4,2]
[1,6,3,2,2,2]=>[{1},{4,5,6},{3},{2}]=>[1,4,5,6,3,2]
[2,1,2,2,3,6]=>[{2},{1,3,4},{5},{6}]=>[2,1,3,4,5,6]
[2,1,2,2,6,3]=>[{2},{1,3,4},{6},{5}]=>[2,1,3,4,6,5]
[2,1,2,3,2,6]=>[{2},{1,3,5},{4},{6}]=>[2,1,3,5,4,6]
[2,1,2,3,6,2]=>[{2},{1,3,6},{4},{5}]=>[2,1,3,6,4,5]
[2,1,2,6,2,3]=>[{2},{1,3,5},{6},{4}]=>[2,1,3,5,6,4]
[2,1,2,6,3,2]=>[{2},{1,3,6},{5},{4}]=>[2,1,3,6,5,4]
[2,1,3,2,2,6]=>[{2},{1,4,5},{3},{6}]=>[2,1,4,5,3,6]
[2,1,3,2,6,2]=>[{2},{1,4,6},{3},{5}]=>[2,1,4,6,3,5]
[2,1,3,6,2,2]=>[{2},{1,5,6},{3},{4}]=>[2,1,5,6,3,4]
[2,1,6,2,2,3]=>[{2},{1,4,5},{6},{3}]=>[2,1,4,5,6,3]
[2,1,6,2,3,2]=>[{2},{1,4,6},{5},{3}]=>[2,1,4,6,5,3]
[2,1,6,3,2,2]=>[{2},{1,5,6},{4},{3}]=>[2,1,5,6,4,3]
[2,2,1,2,3,6]=>[{3},{1,2,4},{5},{6}]=>[3,1,2,4,5,6]
[2,2,1,2,6,3]=>[{3},{1,2,4},{6},{5}]=>[3,1,2,4,6,5]
[2,2,1,3,2,6]=>[{3},{1,2,5},{4},{6}]=>[3,1,2,5,4,6]
[2,2,1,3,6,2]=>[{3},{1,2,6},{4},{5}]=>[3,1,2,6,4,5]
[2,2,1,6,2,3]=>[{3},{1,2,5},{6},{4}]=>[3,1,2,5,6,4]
[2,2,1,6,3,2]=>[{3},{1,2,6},{5},{4}]=>[3,1,2,6,5,4]
[2,2,2,1,3,6]=>[{4},{1,2,3},{5},{6}]=>[4,1,2,3,5,6]
[2,2,2,1,6,3]=>[{4},{1,2,3},{6},{5}]=>[4,1,2,3,6,5]
[2,2,2,3,1,6]=>[{5},{1,2,3},{4},{6}]=>[5,1,2,3,4,6]
[2,2,2,3,6,1]=>[{6},{1,2,3},{4},{5}]=>[6,1,2,3,4,5]
[2,2,2,6,1,3]=>[{5},{1,2,3},{6},{4}]=>[5,1,2,3,6,4]
[2,2,2,6,3,1]=>[{6},{1,2,3},{5},{4}]=>[6,1,2,3,5,4]
[2,2,3,1,2,6]=>[{4},{1,2,5},{3},{6}]=>[4,1,2,5,3,6]
[2,2,3,1,6,2]=>[{4},{1,2,6},{3},{5}]=>[4,1,2,6,3,5]
[2,2,3,2,1,6]=>[{5},{1,2,4},{3},{6}]=>[5,1,2,4,3,6]
[2,2,3,2,6,1]=>[{6},{1,2,4},{3},{5}]=>[6,1,2,4,3,5]
[2,2,3,6,1,2]=>[{5},{1,2,6},{3},{4}]=>[5,1,2,6,3,4]
[2,2,3,6,2,1]=>[{6},{1,2,5},{3},{4}]=>[6,1,2,5,3,4]
[2,2,6,1,2,3]=>[{4},{1,2,5},{6},{3}]=>[4,1,2,5,6,3]
[2,2,6,1,3,2]=>[{4},{1,2,6},{5},{3}]=>[4,1,2,6,5,3]
[2,2,6,2,1,3]=>[{5},{1,2,4},{6},{3}]=>[5,1,2,4,6,3]
[2,2,6,2,3,1]=>[{6},{1,2,4},{5},{3}]=>[6,1,2,4,5,3]
[2,2,6,3,1,2]=>[{5},{1,2,6},{4},{3}]=>[5,1,2,6,4,3]
[2,2,6,3,2,1]=>[{6},{1,2,5},{4},{3}]=>[6,1,2,5,4,3]
[2,3,1,2,2,6]=>[{3},{1,4,5},{2},{6}]=>[3,1,4,5,2,6]
[2,3,1,2,6,2]=>[{3},{1,4,6},{2},{5}]=>[3,1,4,6,2,5]
[2,3,1,6,2,2]=>[{3},{1,5,6},{2},{4}]=>[3,1,5,6,2,4]
[2,3,2,1,2,6]=>[{4},{1,3,5},{2},{6}]=>[4,1,3,5,2,6]
[2,3,2,1,6,2]=>[{4},{1,3,6},{2},{5}]=>[4,1,3,6,2,5]
[2,3,2,2,1,6]=>[{5},{1,3,4},{2},{6}]=>[5,1,3,4,2,6]
[2,3,2,2,6,1]=>[{6},{1,3,4},{2},{5}]=>[6,1,3,4,2,5]
[2,3,2,6,1,2]=>[{5},{1,3,6},{2},{4}]=>[5,1,3,6,2,4]
[2,3,2,6,2,1]=>[{6},{1,3,5},{2},{4}]=>[6,1,3,5,2,4]
[2,3,6,1,2,2]=>[{4},{1,5,6},{2},{3}]=>[4,1,5,6,2,3]
[2,3,6,2,1,2]=>[{5},{1,4,6},{2},{3}]=>[5,1,4,6,2,3]
[2,3,6,2,2,1]=>[{6},{1,4,5},{2},{3}]=>[6,1,4,5,2,3]
[2,6,1,2,2,3]=>[{3},{1,4,5},{6},{2}]=>[3,1,4,5,6,2]
[2,6,1,2,3,2]=>[{3},{1,4,6},{5},{2}]=>[3,1,4,6,5,2]
[2,6,1,3,2,2]=>[{3},{1,5,6},{4},{2}]=>[3,1,5,6,4,2]
[2,6,2,1,2,3]=>[{4},{1,3,5},{6},{2}]=>[4,1,3,5,6,2]
[2,6,2,1,3,2]=>[{4},{1,3,6},{5},{2}]=>[4,1,3,6,5,2]
[2,6,2,2,1,3]=>[{5},{1,3,4},{6},{2}]=>[5,1,3,4,6,2]
[2,6,2,2,3,1]=>[{6},{1,3,4},{5},{2}]=>[6,1,3,4,5,2]
[2,6,2,3,1,2]=>[{5},{1,3,6},{4},{2}]=>[5,1,3,6,4,2]
[2,6,2,3,2,1]=>[{6},{1,3,5},{4},{2}]=>[6,1,3,5,4,2]
[2,6,3,1,2,2]=>[{4},{1,5,6},{3},{2}]=>[4,1,5,6,3,2]
[2,6,3,2,1,2]=>[{5},{1,4,6},{3},{2}]=>[5,1,4,6,3,2]
[2,6,3,2,2,1]=>[{6},{1,4,5},{3},{2}]=>[6,1,4,5,3,2]
[3,1,2,2,2,6]=>[{2},{3,4,5},{1},{6}]=>[2,3,4,5,1,6]
[3,1,2,2,6,2]=>[{2},{3,4,6},{1},{5}]=>[2,3,4,6,1,5]
[3,1,2,6,2,2]=>[{2},{3,5,6},{1},{4}]=>[2,3,5,6,1,4]
[3,1,6,2,2,2]=>[{2},{4,5,6},{1},{3}]=>[2,4,5,6,1,3]
[3,2,1,2,2,6]=>[{3},{2,4,5},{1},{6}]=>[3,2,4,5,1,6]
[3,2,1,2,6,2]=>[{3},{2,4,6},{1},{5}]=>[3,2,4,6,1,5]
[3,2,1,6,2,2]=>[{3},{2,5,6},{1},{4}]=>[3,2,5,6,1,4]
[3,2,2,1,2,6]=>[{4},{2,3,5},{1},{6}]=>[4,2,3,5,1,6]
[3,2,2,1,6,2]=>[{4},{2,3,6},{1},{5}]=>[4,2,3,6,1,5]
[3,2,2,2,1,6]=>[{5},{2,3,4},{1},{6}]=>[5,2,3,4,1,6]
[3,2,2,2,6,1]=>[{6},{2,3,4},{1},{5}]=>[6,2,3,4,1,5]
[3,2,2,6,1,2]=>[{5},{2,3,6},{1},{4}]=>[5,2,3,6,1,4]
[3,2,2,6,2,1]=>[{6},{2,3,5},{1},{4}]=>[6,2,3,5,1,4]
[3,2,6,1,2,2]=>[{4},{2,5,6},{1},{3}]=>[4,2,5,6,1,3]
[3,2,6,2,1,2]=>[{5},{2,4,6},{1},{3}]=>[5,2,4,6,1,3]
[3,2,6,2,2,1]=>[{6},{2,4,5},{1},{3}]=>[6,2,4,5,1,3]
[3,6,1,2,2,2]=>[{3},{4,5,6},{1},{2}]=>[3,4,5,6,1,2]
[3,6,2,1,2,2]=>[{4},{3,5,6},{1},{2}]=>[4,3,5,6,1,2]
[3,6,2,2,1,2]=>[{5},{3,4,6},{1},{2}]=>[5,3,4,6,1,2]
[3,6,2,2,2,1]=>[{6},{3,4,5},{1},{2}]=>[6,3,4,5,1,2]
[6,1,2,2,2,3]=>[{2},{3,4,5},{6},{1}]=>[2,3,4,5,6,1]
[6,1,2,2,3,2]=>[{2},{3,4,6},{5},{1}]=>[2,3,4,6,5,1]
[6,1,2,3,2,2]=>[{2},{3,5,6},{4},{1}]=>[2,3,5,6,4,1]
[6,1,3,2,2,2]=>[{2},{4,5,6},{3},{1}]=>[2,4,5,6,3,1]
[6,2,1,2,2,3]=>[{3},{2,4,5},{6},{1}]=>[3,2,4,5,6,1]
[6,2,1,2,3,2]=>[{3},{2,4,6},{5},{1}]=>[3,2,4,6,5,1]
[6,2,1,3,2,2]=>[{3},{2,5,6},{4},{1}]=>[3,2,5,6,4,1]
[6,2,2,1,2,3]=>[{4},{2,3,5},{6},{1}]=>[4,2,3,5,6,1]
[6,2,2,1,3,2]=>[{4},{2,3,6},{5},{1}]=>[4,2,3,6,5,1]
[6,2,2,2,1,3]=>[{5},{2,3,4},{6},{1}]=>[5,2,3,4,6,1]
[6,2,2,2,3,1]=>[{6},{2,3,4},{5},{1}]=>[6,2,3,4,5,1]
[6,2,2,3,1,2]=>[{5},{2,3,6},{4},{1}]=>[5,2,3,6,4,1]
[6,2,2,3,2,1]=>[{6},{2,3,5},{4},{1}]=>[6,2,3,5,4,1]
[6,2,3,1,2,2]=>[{4},{2,5,6},{3},{1}]=>[4,2,5,6,3,1]
[6,2,3,2,1,2]=>[{5},{2,4,6},{3},{1}]=>[5,2,4,6,3,1]
[6,2,3,2,2,1]=>[{6},{2,4,5},{3},{1}]=>[6,2,4,5,3,1]
[6,3,1,2,2,2]=>[{3},{4,5,6},{2},{1}]=>[3,4,5,6,2,1]
[6,3,2,1,2,2]=>[{4},{3,5,6},{2},{1}]=>[4,3,5,6,2,1]
[6,3,2,2,1,2]=>[{5},{3,4,6},{2},{1}]=>[5,3,4,6,2,1]
[6,3,2,2,2,1]=>[{6},{3,4,5},{2},{1}]=>[6,3,4,5,2,1]
[1,2,2,2,4,4]=>[{1},{2,3,4},{5,6}]=>[1,2,3,4,5,6]
[1,2,2,4,2,4]=>[{1},{2,3,5},{4,6}]=>[1,2,3,5,4,6]
[1,2,2,4,4,2]=>[{1},{2,3,6},{4,5}]=>[1,2,3,6,4,5]
[1,2,4,2,2,4]=>[{1},{2,4,5},{3,6}]=>[1,2,4,5,3,6]
[1,2,4,2,4,2]=>[{1},{2,4,6},{3,5}]=>[1,2,4,6,3,5]
[1,2,4,4,2,2]=>[{1},{2,5,6},{3,4}]=>[1,2,5,6,3,4]
[1,4,2,2,2,4]=>[{1},{3,4,5},{2,6}]=>[1,3,4,5,2,6]
[1,4,2,2,4,2]=>[{1},{3,4,6},{2,5}]=>[1,3,4,6,2,5]
[1,4,2,4,2,2]=>[{1},{3,5,6},{2,4}]=>[1,3,5,6,2,4]
[1,4,4,2,2,2]=>[{1},{4,5,6},{2,3}]=>[1,4,5,6,2,3]
[2,1,2,2,4,4]=>[{2},{1,3,4},{5,6}]=>[2,1,3,4,5,6]
[2,1,2,4,2,4]=>[{2},{1,3,5},{4,6}]=>[2,1,3,5,4,6]
[2,1,2,4,4,2]=>[{2},{1,3,6},{4,5}]=>[2,1,3,6,4,5]
[2,1,4,2,2,4]=>[{2},{1,4,5},{3,6}]=>[2,1,4,5,3,6]
[2,1,4,2,4,2]=>[{2},{1,4,6},{3,5}]=>[2,1,4,6,3,5]
[2,1,4,4,2,2]=>[{2},{1,5,6},{3,4}]=>[2,1,5,6,3,4]
[2,2,1,2,4,4]=>[{3},{1,2,4},{5,6}]=>[3,1,2,4,5,6]
[2,2,1,4,2,4]=>[{3},{1,2,5},{4,6}]=>[3,1,2,5,4,6]
[2,2,1,4,4,2]=>[{3},{1,2,6},{4,5}]=>[3,1,2,6,4,5]
[2,2,2,1,4,4]=>[{4},{1,2,3},{5,6}]=>[4,1,2,3,5,6]
[2,2,2,4,1,4]=>[{5},{1,2,3},{4,6}]=>[5,1,2,3,4,6]
[2,2,2,4,4,1]=>[{6},{1,2,3},{4,5}]=>[6,1,2,3,4,5]
[2,2,4,1,2,4]=>[{4},{1,2,5},{3,6}]=>[4,1,2,5,3,6]
[2,2,4,1,4,2]=>[{4},{1,2,6},{3,5}]=>[4,1,2,6,3,5]
[2,2,4,2,1,4]=>[{5},{1,2,4},{3,6}]=>[5,1,2,4,3,6]
[2,2,4,2,4,1]=>[{6},{1,2,4},{3,5}]=>[6,1,2,4,3,5]
[2,2,4,4,1,2]=>[{5},{1,2,6},{3,4}]=>[5,1,2,6,3,4]
[2,2,4,4,2,1]=>[{6},{1,2,5},{3,4}]=>[6,1,2,5,3,4]
[2,4,1,2,2,4]=>[{3},{1,4,5},{2,6}]=>[3,1,4,5,2,6]
[2,4,1,2,4,2]=>[{3},{1,4,6},{2,5}]=>[3,1,4,6,2,5]
[2,4,1,4,2,2]=>[{3},{1,5,6},{2,4}]=>[3,1,5,6,2,4]
[2,4,2,1,2,4]=>[{4},{1,3,5},{2,6}]=>[4,1,3,5,2,6]
[2,4,2,1,4,2]=>[{4},{1,3,6},{2,5}]=>[4,1,3,6,2,5]
[2,4,2,2,1,4]=>[{5},{1,3,4},{2,6}]=>[5,1,3,4,2,6]
[2,4,2,2,4,1]=>[{6},{1,3,4},{2,5}]=>[6,1,3,4,2,5]
[2,4,2,4,1,2]=>[{5},{1,3,6},{2,4}]=>[5,1,3,6,2,4]
[2,4,2,4,2,1]=>[{6},{1,3,5},{2,4}]=>[6,1,3,5,2,4]
[2,4,4,1,2,2]=>[{4},{1,5,6},{2,3}]=>[4,1,5,6,2,3]
[2,4,4,2,1,2]=>[{5},{1,4,6},{2,3}]=>[5,1,4,6,2,3]
[2,4,4,2,2,1]=>[{6},{1,4,5},{2,3}]=>[6,1,4,5,2,3]
[4,1,2,2,2,4]=>[{2},{3,4,5},{1,6}]=>[2,3,4,5,1,6]
[4,1,2,2,4,2]=>[{2},{3,4,6},{1,5}]=>[2,3,4,6,1,5]
[4,1,2,4,2,2]=>[{2},{3,5,6},{1,4}]=>[2,3,5,6,1,4]
[4,1,4,2,2,2]=>[{2},{4,5,6},{1,3}]=>[2,4,5,6,1,3]
[4,2,1,2,2,4]=>[{3},{2,4,5},{1,6}]=>[3,2,4,5,1,6]
[4,2,1,2,4,2]=>[{3},{2,4,6},{1,5}]=>[3,2,4,6,1,5]
[4,2,1,4,2,2]=>[{3},{2,5,6},{1,4}]=>[3,2,5,6,1,4]
[4,2,2,1,2,4]=>[{4},{2,3,5},{1,6}]=>[4,2,3,5,1,6]
[4,2,2,1,4,2]=>[{4},{2,3,6},{1,5}]=>[4,2,3,6,1,5]
[4,2,2,2,1,4]=>[{5},{2,3,4},{1,6}]=>[5,2,3,4,1,6]
[4,2,2,2,4,1]=>[{6},{2,3,4},{1,5}]=>[6,2,3,4,1,5]
[4,2,2,4,1,2]=>[{5},{2,3,6},{1,4}]=>[5,2,3,6,1,4]
[4,2,2,4,2,1]=>[{6},{2,3,5},{1,4}]=>[6,2,3,5,1,4]
[4,2,4,1,2,2]=>[{4},{2,5,6},{1,3}]=>[4,2,5,6,1,3]
[4,2,4,2,1,2]=>[{5},{2,4,6},{1,3}]=>[5,2,4,6,1,3]
[4,2,4,2,2,1]=>[{6},{2,4,5},{1,3}]=>[6,2,4,5,1,3]
[4,4,1,2,2,2]=>[{3},{4,5,6},{1,2}]=>[3,4,5,6,1,2]
[4,4,2,1,2,2]=>[{4},{3,5,6},{1,2}]=>[4,3,5,6,1,2]
[4,4,2,2,1,2]=>[{5},{3,4,6},{1,2}]=>[5,3,4,6,1,2]
[4,4,2,2,2,1]=>[{6},{3,4,5},{1,2}]=>[6,3,4,5,1,2]
[1,2,2,2,4,5]=>[{1},{2,3,4},{5},{6}]=>[1,2,3,4,5,6]
[1,2,2,2,5,4]=>[{1},{2,3,4},{6},{5}]=>[1,2,3,4,6,5]
[1,2,2,4,2,5]=>[{1},{2,3,5},{4},{6}]=>[1,2,3,5,4,6]
[1,2,2,4,5,2]=>[{1},{2,3,6},{4},{5}]=>[1,2,3,6,4,5]
[1,2,2,5,2,4]=>[{1},{2,3,5},{6},{4}]=>[1,2,3,5,6,4]
[1,2,2,5,4,2]=>[{1},{2,3,6},{5},{4}]=>[1,2,3,6,5,4]
[1,2,4,2,2,5]=>[{1},{2,4,5},{3},{6}]=>[1,2,4,5,3,6]
[1,2,4,2,5,2]=>[{1},{2,4,6},{3},{5}]=>[1,2,4,6,3,5]
[1,2,4,5,2,2]=>[{1},{2,5,6},{3},{4}]=>[1,2,5,6,3,4]
[1,2,5,2,2,4]=>[{1},{2,4,5},{6},{3}]=>[1,2,4,5,6,3]
[1,2,5,2,4,2]=>[{1},{2,4,6},{5},{3}]=>[1,2,4,6,5,3]
[1,2,5,4,2,2]=>[{1},{2,5,6},{4},{3}]=>[1,2,5,6,4,3]
[1,4,2,2,2,5]=>[{1},{3,4,5},{2},{6}]=>[1,3,4,5,2,6]
[1,4,2,2,5,2]=>[{1},{3,4,6},{2},{5}]=>[1,3,4,6,2,5]
[1,4,2,5,2,2]=>[{1},{3,5,6},{2},{4}]=>[1,3,5,6,2,4]
[1,4,5,2,2,2]=>[{1},{4,5,6},{2},{3}]=>[1,4,5,6,2,3]
[1,5,2,2,2,4]=>[{1},{3,4,5},{6},{2}]=>[1,3,4,5,6,2]
[1,5,2,2,4,2]=>[{1},{3,4,6},{5},{2}]=>[1,3,4,6,5,2]
[1,5,2,4,2,2]=>[{1},{3,5,6},{4},{2}]=>[1,3,5,6,4,2]
[1,5,4,2,2,2]=>[{1},{4,5,6},{3},{2}]=>[1,4,5,6,3,2]
[2,1,2,2,4,5]=>[{2},{1,3,4},{5},{6}]=>[2,1,3,4,5,6]
[2,1,2,2,5,4]=>[{2},{1,3,4},{6},{5}]=>[2,1,3,4,6,5]
[2,1,2,4,2,5]=>[{2},{1,3,5},{4},{6}]=>[2,1,3,5,4,6]
[2,1,2,4,5,2]=>[{2},{1,3,6},{4},{5}]=>[2,1,3,6,4,5]
[2,1,2,5,2,4]=>[{2},{1,3,5},{6},{4}]=>[2,1,3,5,6,4]
[2,1,2,5,4,2]=>[{2},{1,3,6},{5},{4}]=>[2,1,3,6,5,4]
[2,1,4,2,2,5]=>[{2},{1,4,5},{3},{6}]=>[2,1,4,5,3,6]
[2,1,4,2,5,2]=>[{2},{1,4,6},{3},{5}]=>[2,1,4,6,3,5]
[2,1,4,5,2,2]=>[{2},{1,5,6},{3},{4}]=>[2,1,5,6,3,4]
[2,1,5,2,2,4]=>[{2},{1,4,5},{6},{3}]=>[2,1,4,5,6,3]
[2,1,5,2,4,2]=>[{2},{1,4,6},{5},{3}]=>[2,1,4,6,5,3]
[2,1,5,4,2,2]=>[{2},{1,5,6},{4},{3}]=>[2,1,5,6,4,3]
[2,2,1,2,4,5]=>[{3},{1,2,4},{5},{6}]=>[3,1,2,4,5,6]
[2,2,1,2,5,4]=>[{3},{1,2,4},{6},{5}]=>[3,1,2,4,6,5]
[2,2,1,4,2,5]=>[{3},{1,2,5},{4},{6}]=>[3,1,2,5,4,6]
[2,2,1,4,5,2]=>[{3},{1,2,6},{4},{5}]=>[3,1,2,6,4,5]
[2,2,1,5,2,4]=>[{3},{1,2,5},{6},{4}]=>[3,1,2,5,6,4]
[2,2,1,5,4,2]=>[{3},{1,2,6},{5},{4}]=>[3,1,2,6,5,4]
[2,2,2,1,4,5]=>[{4},{1,2,3},{5},{6}]=>[4,1,2,3,5,6]
[2,2,2,1,5,4]=>[{4},{1,2,3},{6},{5}]=>[4,1,2,3,6,5]
[2,2,2,4,1,5]=>[{5},{1,2,3},{4},{6}]=>[5,1,2,3,4,6]
[2,2,2,4,5,1]=>[{6},{1,2,3},{4},{5}]=>[6,1,2,3,4,5]
[2,2,2,5,1,4]=>[{5},{1,2,3},{6},{4}]=>[5,1,2,3,6,4]
[2,2,2,5,4,1]=>[{6},{1,2,3},{5},{4}]=>[6,1,2,3,5,4]
[2,2,4,1,2,5]=>[{4},{1,2,5},{3},{6}]=>[4,1,2,5,3,6]
[2,2,4,1,5,2]=>[{4},{1,2,6},{3},{5}]=>[4,1,2,6,3,5]
[2,2,4,2,1,5]=>[{5},{1,2,4},{3},{6}]=>[5,1,2,4,3,6]
[2,2,4,2,5,1]=>[{6},{1,2,4},{3},{5}]=>[6,1,2,4,3,5]
[2,2,4,5,1,2]=>[{5},{1,2,6},{3},{4}]=>[5,1,2,6,3,4]
[2,2,4,5,2,1]=>[{6},{1,2,5},{3},{4}]=>[6,1,2,5,3,4]
[2,2,5,1,2,4]=>[{4},{1,2,5},{6},{3}]=>[4,1,2,5,6,3]
[2,2,5,1,4,2]=>[{4},{1,2,6},{5},{3}]=>[4,1,2,6,5,3]
[2,2,5,2,1,4]=>[{5},{1,2,4},{6},{3}]=>[5,1,2,4,6,3]
[2,2,5,2,4,1]=>[{6},{1,2,4},{5},{3}]=>[6,1,2,4,5,3]
[2,2,5,4,1,2]=>[{5},{1,2,6},{4},{3}]=>[5,1,2,6,4,3]
[2,2,5,4,2,1]=>[{6},{1,2,5},{4},{3}]=>[6,1,2,5,4,3]
[2,4,1,2,2,5]=>[{3},{1,4,5},{2},{6}]=>[3,1,4,5,2,6]
[2,4,1,2,5,2]=>[{3},{1,4,6},{2},{5}]=>[3,1,4,6,2,5]
[2,4,1,5,2,2]=>[{3},{1,5,6},{2},{4}]=>[3,1,5,6,2,4]
[2,4,2,1,2,5]=>[{4},{1,3,5},{2},{6}]=>[4,1,3,5,2,6]
[2,4,2,1,5,2]=>[{4},{1,3,6},{2},{5}]=>[4,1,3,6,2,5]
[2,4,2,2,1,5]=>[{5},{1,3,4},{2},{6}]=>[5,1,3,4,2,6]
[2,4,2,2,5,1]=>[{6},{1,3,4},{2},{5}]=>[6,1,3,4,2,5]
[2,4,2,5,1,2]=>[{5},{1,3,6},{2},{4}]=>[5,1,3,6,2,4]
[2,4,2,5,2,1]=>[{6},{1,3,5},{2},{4}]=>[6,1,3,5,2,4]
[2,4,5,1,2,2]=>[{4},{1,5,6},{2},{3}]=>[4,1,5,6,2,3]
[2,4,5,2,1,2]=>[{5},{1,4,6},{2},{3}]=>[5,1,4,6,2,3]
[2,4,5,2,2,1]=>[{6},{1,4,5},{2},{3}]=>[6,1,4,5,2,3]
[2,5,1,2,2,4]=>[{3},{1,4,5},{6},{2}]=>[3,1,4,5,6,2]
[2,5,1,2,4,2]=>[{3},{1,4,6},{5},{2}]=>[3,1,4,6,5,2]
[2,5,1,4,2,2]=>[{3},{1,5,6},{4},{2}]=>[3,1,5,6,4,2]
[2,5,2,1,2,4]=>[{4},{1,3,5},{6},{2}]=>[4,1,3,5,6,2]
[2,5,2,1,4,2]=>[{4},{1,3,6},{5},{2}]=>[4,1,3,6,5,2]
[2,5,2,2,1,4]=>[{5},{1,3,4},{6},{2}]=>[5,1,3,4,6,2]
[2,5,2,2,4,1]=>[{6},{1,3,4},{5},{2}]=>[6,1,3,4,5,2]
[2,5,2,4,1,2]=>[{5},{1,3,6},{4},{2}]=>[5,1,3,6,4,2]
[2,5,2,4,2,1]=>[{6},{1,3,5},{4},{2}]=>[6,1,3,5,4,2]
[2,5,4,1,2,2]=>[{4},{1,5,6},{3},{2}]=>[4,1,5,6,3,2]
[2,5,4,2,1,2]=>[{5},{1,4,6},{3},{2}]=>[5,1,4,6,3,2]
[2,5,4,2,2,1]=>[{6},{1,4,5},{3},{2}]=>[6,1,4,5,3,2]
[4,1,2,2,2,5]=>[{2},{3,4,5},{1},{6}]=>[2,3,4,5,1,6]
[4,1,2,2,5,2]=>[{2},{3,4,6},{1},{5}]=>[2,3,4,6,1,5]
[4,1,2,5,2,2]=>[{2},{3,5,6},{1},{4}]=>[2,3,5,6,1,4]
[4,1,5,2,2,2]=>[{2},{4,5,6},{1},{3}]=>[2,4,5,6,1,3]
[4,2,1,2,2,5]=>[{3},{2,4,5},{1},{6}]=>[3,2,4,5,1,6]
[4,2,1,2,5,2]=>[{3},{2,4,6},{1},{5}]=>[3,2,4,6,1,5]
[4,2,1,5,2,2]=>[{3},{2,5,6},{1},{4}]=>[3,2,5,6,1,4]
[4,2,2,1,2,5]=>[{4},{2,3,5},{1},{6}]=>[4,2,3,5,1,6]
[4,2,2,1,5,2]=>[{4},{2,3,6},{1},{5}]=>[4,2,3,6,1,5]
[4,2,2,2,1,5]=>[{5},{2,3,4},{1},{6}]=>[5,2,3,4,1,6]
[4,2,2,2,5,1]=>[{6},{2,3,4},{1},{5}]=>[6,2,3,4,1,5]
[4,2,2,5,1,2]=>[{5},{2,3,6},{1},{4}]=>[5,2,3,6,1,4]
[4,2,2,5,2,1]=>[{6},{2,3,5},{1},{4}]=>[6,2,3,5,1,4]
[4,2,5,1,2,2]=>[{4},{2,5,6},{1},{3}]=>[4,2,5,6,1,3]
[4,2,5,2,1,2]=>[{5},{2,4,6},{1},{3}]=>[5,2,4,6,1,3]
[4,2,5,2,2,1]=>[{6},{2,4,5},{1},{3}]=>[6,2,4,5,1,3]
[4,5,1,2,2,2]=>[{3},{4,5,6},{1},{2}]=>[3,4,5,6,1,2]
[4,5,2,1,2,2]=>[{4},{3,5,6},{1},{2}]=>[4,3,5,6,1,2]
[4,5,2,2,1,2]=>[{5},{3,4,6},{1},{2}]=>[5,3,4,6,1,2]
[4,5,2,2,2,1]=>[{6},{3,4,5},{1},{2}]=>[6,3,4,5,1,2]
[5,1,2,2,2,4]=>[{2},{3,4,5},{6},{1}]=>[2,3,4,5,6,1]
[5,1,2,2,4,2]=>[{2},{3,4,6},{5},{1}]=>[2,3,4,6,5,1]
[5,1,2,4,2,2]=>[{2},{3,5,6},{4},{1}]=>[2,3,5,6,4,1]
[5,1,4,2,2,2]=>[{2},{4,5,6},{3},{1}]=>[2,4,5,6,3,1]
[5,2,1,2,2,4]=>[{3},{2,4,5},{6},{1}]=>[3,2,4,5,6,1]
[5,2,1,2,4,2]=>[{3},{2,4,6},{5},{1}]=>[3,2,4,6,5,1]
[5,2,1,4,2,2]=>[{3},{2,5,6},{4},{1}]=>[3,2,5,6,4,1]
[5,2,2,1,2,4]=>[{4},{2,3,5},{6},{1}]=>[4,2,3,5,6,1]
[5,2,2,1,4,2]=>[{4},{2,3,6},{5},{1}]=>[4,2,3,6,5,1]
[5,2,2,2,1,4]=>[{5},{2,3,4},{6},{1}]=>[5,2,3,4,6,1]
[5,2,2,2,4,1]=>[{6},{2,3,4},{5},{1}]=>[6,2,3,4,5,1]
[5,2,2,4,1,2]=>[{5},{2,3,6},{4},{1}]=>[5,2,3,6,4,1]
[5,2,2,4,2,1]=>[{6},{2,3,5},{4},{1}]=>[6,2,3,5,4,1]
[5,2,4,1,2,2]=>[{4},{2,5,6},{3},{1}]=>[4,2,5,6,3,1]
[5,2,4,2,1,2]=>[{5},{2,4,6},{3},{1}]=>[5,2,4,6,3,1]
[5,2,4,2,2,1]=>[{6},{2,4,5},{3},{1}]=>[6,2,4,5,3,1]
[5,4,1,2,2,2]=>[{3},{4,5,6},{2},{1}]=>[3,4,5,6,2,1]
[5,4,2,1,2,2]=>[{4},{3,5,6},{2},{1}]=>[4,3,5,6,2,1]
[5,4,2,2,1,2]=>[{5},{3,4,6},{2},{1}]=>[5,3,4,6,2,1]
[5,4,2,2,2,1]=>[{6},{3,4,5},{2},{1}]=>[6,3,4,5,2,1]
[1,2,2,2,4,6]=>[{1},{2,3,4},{5},{6}]=>[1,2,3,4,5,6]
[1,2,2,2,6,4]=>[{1},{2,3,4},{6},{5}]=>[1,2,3,4,6,5]
[1,2,2,4,2,6]=>[{1},{2,3,5},{4},{6}]=>[1,2,3,5,4,6]
[1,2,2,4,6,2]=>[{1},{2,3,6},{4},{5}]=>[1,2,3,6,4,5]
[1,2,2,6,2,4]=>[{1},{2,3,5},{6},{4}]=>[1,2,3,5,6,4]
[1,2,2,6,4,2]=>[{1},{2,3,6},{5},{4}]=>[1,2,3,6,5,4]
[1,2,4,2,2,6]=>[{1},{2,4,5},{3},{6}]=>[1,2,4,5,3,6]
[1,2,4,2,6,2]=>[{1},{2,4,6},{3},{5}]=>[1,2,4,6,3,5]
[1,2,4,6,2,2]=>[{1},{2,5,6},{3},{4}]=>[1,2,5,6,3,4]
[1,2,6,2,2,4]=>[{1},{2,4,5},{6},{3}]=>[1,2,4,5,6,3]
[1,2,6,2,4,2]=>[{1},{2,4,6},{5},{3}]=>[1,2,4,6,5,3]
[1,2,6,4,2,2]=>[{1},{2,5,6},{4},{3}]=>[1,2,5,6,4,3]
[1,4,2,2,2,6]=>[{1},{3,4,5},{2},{6}]=>[1,3,4,5,2,6]
[1,4,2,2,6,2]=>[{1},{3,4,6},{2},{5}]=>[1,3,4,6,2,5]
[1,4,2,6,2,2]=>[{1},{3,5,6},{2},{4}]=>[1,3,5,6,2,4]
[1,4,6,2,2,2]=>[{1},{4,5,6},{2},{3}]=>[1,4,5,6,2,3]
[1,6,2,2,2,4]=>[{1},{3,4,5},{6},{2}]=>[1,3,4,5,6,2]
[1,6,2,2,4,2]=>[{1},{3,4,6},{5},{2}]=>[1,3,4,6,5,2]
[1,6,2,4,2,2]=>[{1},{3,5,6},{4},{2}]=>[1,3,5,6,4,2]
[1,6,4,2,2,2]=>[{1},{4,5,6},{3},{2}]=>[1,4,5,6,3,2]
[2,1,2,2,4,6]=>[{2},{1,3,4},{5},{6}]=>[2,1,3,4,5,6]
[2,1,2,2,6,4]=>[{2},{1,3,4},{6},{5}]=>[2,1,3,4,6,5]
[2,1,2,4,2,6]=>[{2},{1,3,5},{4},{6}]=>[2,1,3,5,4,6]
[2,1,2,4,6,2]=>[{2},{1,3,6},{4},{5}]=>[2,1,3,6,4,5]
[2,1,2,6,2,4]=>[{2},{1,3,5},{6},{4}]=>[2,1,3,5,6,4]
[2,1,2,6,4,2]=>[{2},{1,3,6},{5},{4}]=>[2,1,3,6,5,4]
[2,1,4,2,2,6]=>[{2},{1,4,5},{3},{6}]=>[2,1,4,5,3,6]
[2,1,4,2,6,2]=>[{2},{1,4,6},{3},{5}]=>[2,1,4,6,3,5]
[2,1,4,6,2,2]=>[{2},{1,5,6},{3},{4}]=>[2,1,5,6,3,4]
[2,1,6,2,2,4]=>[{2},{1,4,5},{6},{3}]=>[2,1,4,5,6,3]
[2,1,6,2,4,2]=>[{2},{1,4,6},{5},{3}]=>[2,1,4,6,5,3]
[2,1,6,4,2,2]=>[{2},{1,5,6},{4},{3}]=>[2,1,5,6,4,3]
[2,2,1,2,4,6]=>[{3},{1,2,4},{5},{6}]=>[3,1,2,4,5,6]
[2,2,1,2,6,4]=>[{3},{1,2,4},{6},{5}]=>[3,1,2,4,6,5]
[2,2,1,4,2,6]=>[{3},{1,2,5},{4},{6}]=>[3,1,2,5,4,6]
[2,2,1,4,6,2]=>[{3},{1,2,6},{4},{5}]=>[3,1,2,6,4,5]
[2,2,1,6,2,4]=>[{3},{1,2,5},{6},{4}]=>[3,1,2,5,6,4]
[2,2,1,6,4,2]=>[{3},{1,2,6},{5},{4}]=>[3,1,2,6,5,4]
[2,2,2,1,4,6]=>[{4},{1,2,3},{5},{6}]=>[4,1,2,3,5,6]
[2,2,2,1,6,4]=>[{4},{1,2,3},{6},{5}]=>[4,1,2,3,6,5]
[2,2,2,4,1,6]=>[{5},{1,2,3},{4},{6}]=>[5,1,2,3,4,6]
[2,2,2,4,6,1]=>[{6},{1,2,3},{4},{5}]=>[6,1,2,3,4,5]
[2,2,2,6,1,4]=>[{5},{1,2,3},{6},{4}]=>[5,1,2,3,6,4]
[2,2,2,6,4,1]=>[{6},{1,2,3},{5},{4}]=>[6,1,2,3,5,4]
[2,2,4,1,2,6]=>[{4},{1,2,5},{3},{6}]=>[4,1,2,5,3,6]
[2,2,4,1,6,2]=>[{4},{1,2,6},{3},{5}]=>[4,1,2,6,3,5]
[2,2,4,2,1,6]=>[{5},{1,2,4},{3},{6}]=>[5,1,2,4,3,6]
[2,2,4,2,6,1]=>[{6},{1,2,4},{3},{5}]=>[6,1,2,4,3,5]
[2,2,4,6,1,2]=>[{5},{1,2,6},{3},{4}]=>[5,1,2,6,3,4]
[2,2,4,6,2,1]=>[{6},{1,2,5},{3},{4}]=>[6,1,2,5,3,4]
[2,2,6,1,2,4]=>[{4},{1,2,5},{6},{3}]=>[4,1,2,5,6,3]
[2,2,6,1,4,2]=>[{4},{1,2,6},{5},{3}]=>[4,1,2,6,5,3]
[2,2,6,2,1,4]=>[{5},{1,2,4},{6},{3}]=>[5,1,2,4,6,3]
[2,2,6,2,4,1]=>[{6},{1,2,4},{5},{3}]=>[6,1,2,4,5,3]
[2,2,6,4,1,2]=>[{5},{1,2,6},{4},{3}]=>[5,1,2,6,4,3]
[2,2,6,4,2,1]=>[{6},{1,2,5},{4},{3}]=>[6,1,2,5,4,3]
[2,4,1,2,2,6]=>[{3},{1,4,5},{2},{6}]=>[3,1,4,5,2,6]
[2,4,1,2,6,2]=>[{3},{1,4,6},{2},{5}]=>[3,1,4,6,2,5]
[2,4,1,6,2,2]=>[{3},{1,5,6},{2},{4}]=>[3,1,5,6,2,4]
[2,4,2,1,2,6]=>[{4},{1,3,5},{2},{6}]=>[4,1,3,5,2,6]
[2,4,2,1,6,2]=>[{4},{1,3,6},{2},{5}]=>[4,1,3,6,2,5]
[2,4,2,2,1,6]=>[{5},{1,3,4},{2},{6}]=>[5,1,3,4,2,6]
[2,4,2,2,6,1]=>[{6},{1,3,4},{2},{5}]=>[6,1,3,4,2,5]
[2,4,2,6,1,2]=>[{5},{1,3,6},{2},{4}]=>[5,1,3,6,2,4]
[2,4,2,6,2,1]=>[{6},{1,3,5},{2},{4}]=>[6,1,3,5,2,4]
[2,4,6,1,2,2]=>[{4},{1,5,6},{2},{3}]=>[4,1,5,6,2,3]
[2,4,6,2,1,2]=>[{5},{1,4,6},{2},{3}]=>[5,1,4,6,2,3]
[2,4,6,2,2,1]=>[{6},{1,4,5},{2},{3}]=>[6,1,4,5,2,3]
[2,6,1,2,2,4]=>[{3},{1,4,5},{6},{2}]=>[3,1,4,5,6,2]
[2,6,1,2,4,2]=>[{3},{1,4,6},{5},{2}]=>[3,1,4,6,5,2]
[2,6,1,4,2,2]=>[{3},{1,5,6},{4},{2}]=>[3,1,5,6,4,2]
[2,6,2,1,2,4]=>[{4},{1,3,5},{6},{2}]=>[4,1,3,5,6,2]
[2,6,2,1,4,2]=>[{4},{1,3,6},{5},{2}]=>[4,1,3,6,5,2]
[2,6,2,2,1,4]=>[{5},{1,3,4},{6},{2}]=>[5,1,3,4,6,2]
[2,6,2,2,4,1]=>[{6},{1,3,4},{5},{2}]=>[6,1,3,4,5,2]
[2,6,2,4,1,2]=>[{5},{1,3,6},{4},{2}]=>[5,1,3,6,4,2]
[2,6,2,4,2,1]=>[{6},{1,3,5},{4},{2}]=>[6,1,3,5,4,2]
[2,6,4,1,2,2]=>[{4},{1,5,6},{3},{2}]=>[4,1,5,6,3,2]
[2,6,4,2,1,2]=>[{5},{1,4,6},{3},{2}]=>[5,1,4,6,3,2]
[2,6,4,2,2,1]=>[{6},{1,4,5},{3},{2}]=>[6,1,4,5,3,2]
[4,1,2,2,2,6]=>[{2},{3,4,5},{1},{6}]=>[2,3,4,5,1,6]
[4,1,2,2,6,2]=>[{2},{3,4,6},{1},{5}]=>[2,3,4,6,1,5]
[4,1,2,6,2,2]=>[{2},{3,5,6},{1},{4}]=>[2,3,5,6,1,4]
[4,1,6,2,2,2]=>[{2},{4,5,6},{1},{3}]=>[2,4,5,6,1,3]
[4,2,1,2,2,6]=>[{3},{2,4,5},{1},{6}]=>[3,2,4,5,1,6]
[4,2,1,2,6,2]=>[{3},{2,4,6},{1},{5}]=>[3,2,4,6,1,5]
[4,2,1,6,2,2]=>[{3},{2,5,6},{1},{4}]=>[3,2,5,6,1,4]
[4,2,2,1,2,6]=>[{4},{2,3,5},{1},{6}]=>[4,2,3,5,1,6]
[4,2,2,1,6,2]=>[{4},{2,3,6},{1},{5}]=>[4,2,3,6,1,5]
[4,2,2,2,1,6]=>[{5},{2,3,4},{1},{6}]=>[5,2,3,4,1,6]
[4,2,2,2,6,1]=>[{6},{2,3,4},{1},{5}]=>[6,2,3,4,1,5]
[4,2,2,6,1,2]=>[{5},{2,3,6},{1},{4}]=>[5,2,3,6,1,4]
[4,2,2,6,2,1]=>[{6},{2,3,5},{1},{4}]=>[6,2,3,5,1,4]
[4,2,6,1,2,2]=>[{4},{2,5,6},{1},{3}]=>[4,2,5,6,1,3]
[4,2,6,2,1,2]=>[{5},{2,4,6},{1},{3}]=>[5,2,4,6,1,3]
[4,2,6,2,2,1]=>[{6},{2,4,5},{1},{3}]=>[6,2,4,5,1,3]
[4,6,1,2,2,2]=>[{3},{4,5,6},{1},{2}]=>[3,4,5,6,1,2]
[4,6,2,1,2,2]=>[{4},{3,5,6},{1},{2}]=>[4,3,5,6,1,2]
[4,6,2,2,1,2]=>[{5},{3,4,6},{1},{2}]=>[5,3,4,6,1,2]
[4,6,2,2,2,1]=>[{6},{3,4,5},{1},{2}]=>[6,3,4,5,1,2]
[6,1,2,2,2,4]=>[{2},{3,4,5},{6},{1}]=>[2,3,4,5,6,1]
[6,1,2,2,4,2]=>[{2},{3,4,6},{5},{1}]=>[2,3,4,6,5,1]
[6,1,2,4,2,2]=>[{2},{3,5,6},{4},{1}]=>[2,3,5,6,4,1]
[6,1,4,2,2,2]=>[{2},{4,5,6},{3},{1}]=>[2,4,5,6,3,1]
[6,2,1,2,2,4]=>[{3},{2,4,5},{6},{1}]=>[3,2,4,5,6,1]
[6,2,1,2,4,2]=>[{3},{2,4,6},{5},{1}]=>[3,2,4,6,5,1]
[6,2,1,4,2,2]=>[{3},{2,5,6},{4},{1}]=>[3,2,5,6,4,1]
[6,2,2,1,2,4]=>[{4},{2,3,5},{6},{1}]=>[4,2,3,5,6,1]
[6,2,2,1,4,2]=>[{4},{2,3,6},{5},{1}]=>[4,2,3,6,5,1]
[6,2,2,2,1,4]=>[{5},{2,3,4},{6},{1}]=>[5,2,3,4,6,1]
[6,2,2,2,4,1]=>[{6},{2,3,4},{5},{1}]=>[6,2,3,4,5,1]
[6,2,2,4,1,2]=>[{5},{2,3,6},{4},{1}]=>[5,2,3,6,4,1]
[6,2,2,4,2,1]=>[{6},{2,3,5},{4},{1}]=>[6,2,3,5,4,1]
[6,2,4,1,2,2]=>[{4},{2,5,6},{3},{1}]=>[4,2,5,6,3,1]
[6,2,4,2,1,2]=>[{5},{2,4,6},{3},{1}]=>[5,2,4,6,3,1]
[6,2,4,2,2,1]=>[{6},{2,4,5},{3},{1}]=>[6,2,4,5,3,1]
[6,4,1,2,2,2]=>[{3},{4,5,6},{2},{1}]=>[3,4,5,6,2,1]
[6,4,2,1,2,2]=>[{4},{3,5,6},{2},{1}]=>[4,3,5,6,2,1]
[6,4,2,2,1,2]=>[{5},{3,4,6},{2},{1}]=>[5,3,4,6,2,1]
[6,4,2,2,2,1]=>[{6},{3,4,5},{2},{1}]=>[6,3,4,5,2,1]
[1,2,2,2,5,5]=>[{1},{2,3,4},{5,6}]=>[1,2,3,4,5,6]
[1,2,2,5,2,5]=>[{1},{2,3,5},{4,6}]=>[1,2,3,5,4,6]
[1,2,2,5,5,2]=>[{1},{2,3,6},{4,5}]=>[1,2,3,6,4,5]
[1,2,5,2,2,5]=>[{1},{2,4,5},{3,6}]=>[1,2,4,5,3,6]
[1,2,5,2,5,2]=>[{1},{2,4,6},{3,5}]=>[1,2,4,6,3,5]
[1,2,5,5,2,2]=>[{1},{2,5,6},{3,4}]=>[1,2,5,6,3,4]
[1,5,2,2,2,5]=>[{1},{3,4,5},{2,6}]=>[1,3,4,5,2,6]
[1,5,2,2,5,2]=>[{1},{3,4,6},{2,5}]=>[1,3,4,6,2,5]
[1,5,2,5,2,2]=>[{1},{3,5,6},{2,4}]=>[1,3,5,6,2,4]
[1,5,5,2,2,2]=>[{1},{4,5,6},{2,3}]=>[1,4,5,6,2,3]
[2,1,2,2,5,5]=>[{2},{1,3,4},{5,6}]=>[2,1,3,4,5,6]
[2,1,2,5,2,5]=>[{2},{1,3,5},{4,6}]=>[2,1,3,5,4,6]
[2,1,2,5,5,2]=>[{2},{1,3,6},{4,5}]=>[2,1,3,6,4,5]
[2,1,5,2,2,5]=>[{2},{1,4,5},{3,6}]=>[2,1,4,5,3,6]
[2,1,5,2,5,2]=>[{2},{1,4,6},{3,5}]=>[2,1,4,6,3,5]
[2,1,5,5,2,2]=>[{2},{1,5,6},{3,4}]=>[2,1,5,6,3,4]
[2,2,1,2,5,5]=>[{3},{1,2,4},{5,6}]=>[3,1,2,4,5,6]
[2,2,1,5,2,5]=>[{3},{1,2,5},{4,6}]=>[3,1,2,5,4,6]
[2,2,1,5,5,2]=>[{3},{1,2,6},{4,5}]=>[3,1,2,6,4,5]
[2,2,2,1,5,5]=>[{4},{1,2,3},{5,6}]=>[4,1,2,3,5,6]
[2,2,2,5,1,5]=>[{5},{1,2,3},{4,6}]=>[5,1,2,3,4,6]
[2,2,2,5,5,1]=>[{6},{1,2,3},{4,5}]=>[6,1,2,3,4,5]
[2,2,5,1,2,5]=>[{4},{1,2,5},{3,6}]=>[4,1,2,5,3,6]
[2,2,5,1,5,2]=>[{4},{1,2,6},{3,5}]=>[4,1,2,6,3,5]
[2,2,5,2,1,5]=>[{5},{1,2,4},{3,6}]=>[5,1,2,4,3,6]
[2,2,5,2,5,1]=>[{6},{1,2,4},{3,5}]=>[6,1,2,4,3,5]
[2,2,5,5,1,2]=>[{5},{1,2,6},{3,4}]=>[5,1,2,6,3,4]
[2,2,5,5,2,1]=>[{6},{1,2,5},{3,4}]=>[6,1,2,5,3,4]
[2,5,1,2,2,5]=>[{3},{1,4,5},{2,6}]=>[3,1,4,5,2,6]
[2,5,1,2,5,2]=>[{3},{1,4,6},{2,5}]=>[3,1,4,6,2,5]
[2,5,1,5,2,2]=>[{3},{1,5,6},{2,4}]=>[3,1,5,6,2,4]
[2,5,2,1,2,5]=>[{4},{1,3,5},{2,6}]=>[4,1,3,5,2,6]
[2,5,2,1,5,2]=>[{4},{1,3,6},{2,5}]=>[4,1,3,6,2,5]
[2,5,2,2,1,5]=>[{5},{1,3,4},{2,6}]=>[5,1,3,4,2,6]
[2,5,2,2,5,1]=>[{6},{1,3,4},{2,5}]=>[6,1,3,4,2,5]
[2,5,2,5,1,2]=>[{5},{1,3,6},{2,4}]=>[5,1,3,6,2,4]
[2,5,2,5,2,1]=>[{6},{1,3,5},{2,4}]=>[6,1,3,5,2,4]
[2,5,5,1,2,2]=>[{4},{1,5,6},{2,3}]=>[4,1,5,6,2,3]
[2,5,5,2,1,2]=>[{5},{1,4,6},{2,3}]=>[5,1,4,6,2,3]
[2,5,5,2,2,1]=>[{6},{1,4,5},{2,3}]=>[6,1,4,5,2,3]
[5,1,2,2,2,5]=>[{2},{3,4,5},{1,6}]=>[2,3,4,5,1,6]
[5,1,2,2,5,2]=>[{2},{3,4,6},{1,5}]=>[2,3,4,6,1,5]
[5,1,2,5,2,2]=>[{2},{3,5,6},{1,4}]=>[2,3,5,6,1,4]
[5,1,5,2,2,2]=>[{2},{4,5,6},{1,3}]=>[2,4,5,6,1,3]
[5,2,1,2,2,5]=>[{3},{2,4,5},{1,6}]=>[3,2,4,5,1,6]
[5,2,1,2,5,2]=>[{3},{2,4,6},{1,5}]=>[3,2,4,6,1,5]
[5,2,1,5,2,2]=>[{3},{2,5,6},{1,4}]=>[3,2,5,6,1,4]
[5,2,2,1,2,5]=>[{4},{2,3,5},{1,6}]=>[4,2,3,5,1,6]
[5,2,2,1,5,2]=>[{4},{2,3,6},{1,5}]=>[4,2,3,6,1,5]
[5,2,2,2,1,5]=>[{5},{2,3,4},{1,6}]=>[5,2,3,4,1,6]
[5,2,2,2,5,1]=>[{6},{2,3,4},{1,5}]=>[6,2,3,4,1,5]
[5,2,2,5,1,2]=>[{5},{2,3,6},{1,4}]=>[5,2,3,6,1,4]
[5,2,2,5,2,1]=>[{6},{2,3,5},{1,4}]=>[6,2,3,5,1,4]
[5,2,5,1,2,2]=>[{4},{2,5,6},{1,3}]=>[4,2,5,6,1,3]
[5,2,5,2,1,2]=>[{5},{2,4,6},{1,3}]=>[5,2,4,6,1,3]
[5,2,5,2,2,1]=>[{6},{2,4,5},{1,3}]=>[6,2,4,5,1,3]
[5,5,1,2,2,2]=>[{3},{4,5,6},{1,2}]=>[3,4,5,6,1,2]
[5,5,2,1,2,2]=>[{4},{3,5,6},{1,2}]=>[4,3,5,6,1,2]
[5,5,2,2,1,2]=>[{5},{3,4,6},{1,2}]=>[5,3,4,6,1,2]
[5,5,2,2,2,1]=>[{6},{3,4,5},{1,2}]=>[6,3,4,5,1,2]
[1,2,2,2,5,6]=>[{1},{2,3,4},{5},{6}]=>[1,2,3,4,5,6]
[1,2,2,2,6,5]=>[{1},{2,3,4},{6},{5}]=>[1,2,3,4,6,5]
[1,2,2,5,2,6]=>[{1},{2,3,5},{4},{6}]=>[1,2,3,5,4,6]
[1,2,2,5,6,2]=>[{1},{2,3,6},{4},{5}]=>[1,2,3,6,4,5]
[1,2,2,6,2,5]=>[{1},{2,3,5},{6},{4}]=>[1,2,3,5,6,4]
[1,2,2,6,5,2]=>[{1},{2,3,6},{5},{4}]=>[1,2,3,6,5,4]
[1,2,5,2,2,6]=>[{1},{2,4,5},{3},{6}]=>[1,2,4,5,3,6]
[1,2,5,2,6,2]=>[{1},{2,4,6},{3},{5}]=>[1,2,4,6,3,5]
[1,2,5,6,2,2]=>[{1},{2,5,6},{3},{4}]=>[1,2,5,6,3,4]
[1,2,6,2,2,5]=>[{1},{2,4,5},{6},{3}]=>[1,2,4,5,6,3]
[1,2,6,2,5,2]=>[{1},{2,4,6},{5},{3}]=>[1,2,4,6,5,3]
[1,2,6,5,2,2]=>[{1},{2,5,6},{4},{3}]=>[1,2,5,6,4,3]
[1,5,2,2,2,6]=>[{1},{3,4,5},{2},{6}]=>[1,3,4,5,2,6]
[1,5,2,2,6,2]=>[{1},{3,4,6},{2},{5}]=>[1,3,4,6,2,5]
[1,5,2,6,2,2]=>[{1},{3,5,6},{2},{4}]=>[1,3,5,6,2,4]
[1,5,6,2,2,2]=>[{1},{4,5,6},{2},{3}]=>[1,4,5,6,2,3]
[1,6,2,2,2,5]=>[{1},{3,4,5},{6},{2}]=>[1,3,4,5,6,2]
[1,6,2,2,5,2]=>[{1},{3,4,6},{5},{2}]=>[1,3,4,6,5,2]
[1,6,2,5,2,2]=>[{1},{3,5,6},{4},{2}]=>[1,3,5,6,4,2]
[1,6,5,2,2,2]=>[{1},{4,5,6},{3},{2}]=>[1,4,5,6,3,2]
[2,1,2,2,5,6]=>[{2},{1,3,4},{5},{6}]=>[2,1,3,4,5,6]
[2,1,2,2,6,5]=>[{2},{1,3,4},{6},{5}]=>[2,1,3,4,6,5]
[2,1,2,5,2,6]=>[{2},{1,3,5},{4},{6}]=>[2,1,3,5,4,6]
[2,1,2,5,6,2]=>[{2},{1,3,6},{4},{5}]=>[2,1,3,6,4,5]
[2,1,2,6,2,5]=>[{2},{1,3,5},{6},{4}]=>[2,1,3,5,6,4]
[2,1,2,6,5,2]=>[{2},{1,3,6},{5},{4}]=>[2,1,3,6,5,4]
[2,1,5,2,2,6]=>[{2},{1,4,5},{3},{6}]=>[2,1,4,5,3,6]
[2,1,5,2,6,2]=>[{2},{1,4,6},{3},{5}]=>[2,1,4,6,3,5]
[2,1,5,6,2,2]=>[{2},{1,5,6},{3},{4}]=>[2,1,5,6,3,4]
[2,1,6,2,2,5]=>[{2},{1,4,5},{6},{3}]=>[2,1,4,5,6,3]
[2,1,6,2,5,2]=>[{2},{1,4,6},{5},{3}]=>[2,1,4,6,5,3]
[2,1,6,5,2,2]=>[{2},{1,5,6},{4},{3}]=>[2,1,5,6,4,3]
[2,2,1,2,5,6]=>[{3},{1,2,4},{5},{6}]=>[3,1,2,4,5,6]
[2,2,1,2,6,5]=>[{3},{1,2,4},{6},{5}]=>[3,1,2,4,6,5]
[2,2,1,5,2,6]=>[{3},{1,2,5},{4},{6}]=>[3,1,2,5,4,6]
[2,2,1,5,6,2]=>[{3},{1,2,6},{4},{5}]=>[3,1,2,6,4,5]
[2,2,1,6,2,5]=>[{3},{1,2,5},{6},{4}]=>[3,1,2,5,6,4]
[2,2,1,6,5,2]=>[{3},{1,2,6},{5},{4}]=>[3,1,2,6,5,4]
[2,2,2,1,5,6]=>[{4},{1,2,3},{5},{6}]=>[4,1,2,3,5,6]
[2,2,2,1,6,5]=>[{4},{1,2,3},{6},{5}]=>[4,1,2,3,6,5]
[2,2,2,5,1,6]=>[{5},{1,2,3},{4},{6}]=>[5,1,2,3,4,6]
[2,2,2,5,6,1]=>[{6},{1,2,3},{4},{5}]=>[6,1,2,3,4,5]
[2,2,2,6,1,5]=>[{5},{1,2,3},{6},{4}]=>[5,1,2,3,6,4]
[2,2,2,6,5,1]=>[{6},{1,2,3},{5},{4}]=>[6,1,2,3,5,4]
[2,2,5,1,2,6]=>[{4},{1,2,5},{3},{6}]=>[4,1,2,5,3,6]
[2,2,5,1,6,2]=>[{4},{1,2,6},{3},{5}]=>[4,1,2,6,3,5]
[2,2,5,2,1,6]=>[{5},{1,2,4},{3},{6}]=>[5,1,2,4,3,6]
[2,2,5,2,6,1]=>[{6},{1,2,4},{3},{5}]=>[6,1,2,4,3,5]
[2,2,5,6,1,2]=>[{5},{1,2,6},{3},{4}]=>[5,1,2,6,3,4]
[2,2,5,6,2,1]=>[{6},{1,2,5},{3},{4}]=>[6,1,2,5,3,4]
[2,2,6,1,2,5]=>[{4},{1,2,5},{6},{3}]=>[4,1,2,5,6,3]
[2,2,6,1,5,2]=>[{4},{1,2,6},{5},{3}]=>[4,1,2,6,5,3]
[2,2,6,2,1,5]=>[{5},{1,2,4},{6},{3}]=>[5,1,2,4,6,3]
[2,2,6,2,5,1]=>[{6},{1,2,4},{5},{3}]=>[6,1,2,4,5,3]
[2,2,6,5,1,2]=>[{5},{1,2,6},{4},{3}]=>[5,1,2,6,4,3]
[2,2,6,5,2,1]=>[{6},{1,2,5},{4},{3}]=>[6,1,2,5,4,3]
[2,5,1,2,2,6]=>[{3},{1,4,5},{2},{6}]=>[3,1,4,5,2,6]
[2,5,1,2,6,2]=>[{3},{1,4,6},{2},{5}]=>[3,1,4,6,2,5]
[2,5,1,6,2,2]=>[{3},{1,5,6},{2},{4}]=>[3,1,5,6,2,4]
[2,5,2,1,2,6]=>[{4},{1,3,5},{2},{6}]=>[4,1,3,5,2,6]
[2,5,2,1,6,2]=>[{4},{1,3,6},{2},{5}]=>[4,1,3,6,2,5]
[2,5,2,2,1,6]=>[{5},{1,3,4},{2},{6}]=>[5,1,3,4,2,6]
[2,5,2,2,6,1]=>[{6},{1,3,4},{2},{5}]=>[6,1,3,4,2,5]
[2,5,2,6,1,2]=>[{5},{1,3,6},{2},{4}]=>[5,1,3,6,2,4]
[2,5,2,6,2,1]=>[{6},{1,3,5},{2},{4}]=>[6,1,3,5,2,4]
[2,5,6,1,2,2]=>[{4},{1,5,6},{2},{3}]=>[4,1,5,6,2,3]
[2,5,6,2,1,2]=>[{5},{1,4,6},{2},{3}]=>[5,1,4,6,2,3]
[2,5,6,2,2,1]=>[{6},{1,4,5},{2},{3}]=>[6,1,4,5,2,3]
[2,6,1,2,2,5]=>[{3},{1,4,5},{6},{2}]=>[3,1,4,5,6,2]
[2,6,1,2,5,2]=>[{3},{1,4,6},{5},{2}]=>[3,1,4,6,5,2]
[2,6,1,5,2,2]=>[{3},{1,5,6},{4},{2}]=>[3,1,5,6,4,2]
[2,6,2,1,2,5]=>[{4},{1,3,5},{6},{2}]=>[4,1,3,5,6,2]
[2,6,2,1,5,2]=>[{4},{1,3,6},{5},{2}]=>[4,1,3,6,5,2]
[2,6,2,2,1,5]=>[{5},{1,3,4},{6},{2}]=>[5,1,3,4,6,2]
[2,6,2,2,5,1]=>[{6},{1,3,4},{5},{2}]=>[6,1,3,4,5,2]
[2,6,2,5,1,2]=>[{5},{1,3,6},{4},{2}]=>[5,1,3,6,4,2]
[2,6,2,5,2,1]=>[{6},{1,3,5},{4},{2}]=>[6,1,3,5,4,2]
[2,6,5,1,2,2]=>[{4},{1,5,6},{3},{2}]=>[4,1,5,6,3,2]
[2,6,5,2,1,2]=>[{5},{1,4,6},{3},{2}]=>[5,1,4,6,3,2]
[2,6,5,2,2,1]=>[{6},{1,4,5},{3},{2}]=>[6,1,4,5,3,2]
[5,1,2,2,2,6]=>[{2},{3,4,5},{1},{6}]=>[2,3,4,5,1,6]
[5,1,2,2,6,2]=>[{2},{3,4,6},{1},{5}]=>[2,3,4,6,1,5]
[5,1,2,6,2,2]=>[{2},{3,5,6},{1},{4}]=>[2,3,5,6,1,4]
[5,1,6,2,2,2]=>[{2},{4,5,6},{1},{3}]=>[2,4,5,6,1,3]
[5,2,1,2,2,6]=>[{3},{2,4,5},{1},{6}]=>[3,2,4,5,1,6]
[5,2,1,2,6,2]=>[{3},{2,4,6},{1},{5}]=>[3,2,4,6,1,5]
[5,2,1,6,2,2]=>[{3},{2,5,6},{1},{4}]=>[3,2,5,6,1,4]
[5,2,2,1,2,6]=>[{4},{2,3,5},{1},{6}]=>[4,2,3,5,1,6]
[5,2,2,1,6,2]=>[{4},{2,3,6},{1},{5}]=>[4,2,3,6,1,5]
[5,2,2,2,1,6]=>[{5},{2,3,4},{1},{6}]=>[5,2,3,4,1,6]
[5,2,2,2,6,1]=>[{6},{2,3,4},{1},{5}]=>[6,2,3,4,1,5]
[5,2,2,6,1,2]=>[{5},{2,3,6},{1},{4}]=>[5,2,3,6,1,4]
[5,2,2,6,2,1]=>[{6},{2,3,5},{1},{4}]=>[6,2,3,5,1,4]
[5,2,6,1,2,2]=>[{4},{2,5,6},{1},{3}]=>[4,2,5,6,1,3]
[5,2,6,2,1,2]=>[{5},{2,4,6},{1},{3}]=>[5,2,4,6,1,3]
[5,2,6,2,2,1]=>[{6},{2,4,5},{1},{3}]=>[6,2,4,5,1,3]
[5,6,1,2,2,2]=>[{3},{4,5,6},{1},{2}]=>[3,4,5,6,1,2]
[5,6,2,1,2,2]=>[{4},{3,5,6},{1},{2}]=>[4,3,5,6,1,2]
[5,6,2,2,1,2]=>[{5},{3,4,6},{1},{2}]=>[5,3,4,6,1,2]
[5,6,2,2,2,1]=>[{6},{3,4,5},{1},{2}]=>[6,3,4,5,1,2]
[6,1,2,2,2,5]=>[{2},{3,4,5},{6},{1}]=>[2,3,4,5,6,1]
[6,1,2,2,5,2]=>[{2},{3,4,6},{5},{1}]=>[2,3,4,6,5,1]
[6,1,2,5,2,2]=>[{2},{3,5,6},{4},{1}]=>[2,3,5,6,4,1]
[6,1,5,2,2,2]=>[{2},{4,5,6},{3},{1}]=>[2,4,5,6,3,1]
[6,2,1,2,2,5]=>[{3},{2,4,5},{6},{1}]=>[3,2,4,5,6,1]
[6,2,1,2,5,2]=>[{3},{2,4,6},{5},{1}]=>[3,2,4,6,5,1]
[6,2,1,5,2,2]=>[{3},{2,5,6},{4},{1}]=>[3,2,5,6,4,1]
[6,2,2,1,2,5]=>[{4},{2,3,5},{6},{1}]=>[4,2,3,5,6,1]
[6,2,2,1,5,2]=>[{4},{2,3,6},{5},{1}]=>[4,2,3,6,5,1]
[6,2,2,2,1,5]=>[{5},{2,3,4},{6},{1}]=>[5,2,3,4,6,1]
[6,2,2,2,5,1]=>[{6},{2,3,4},{5},{1}]=>[6,2,3,4,5,1]
[6,2,2,5,1,2]=>[{5},{2,3,6},{4},{1}]=>[5,2,3,6,4,1]
[6,2,2,5,2,1]=>[{6},{2,3,5},{4},{1}]=>[6,2,3,5,4,1]
[6,2,5,1,2,2]=>[{4},{2,5,6},{3},{1}]=>[4,2,5,6,3,1]
[6,2,5,2,1,2]=>[{5},{2,4,6},{3},{1}]=>[5,2,4,6,3,1]
[6,2,5,2,2,1]=>[{6},{2,4,5},{3},{1}]=>[6,2,4,5,3,1]
[6,5,1,2,2,2]=>[{3},{4,5,6},{2},{1}]=>[3,4,5,6,2,1]
[6,5,2,1,2,2]=>[{4},{3,5,6},{2},{1}]=>[4,3,5,6,2,1]
[6,5,2,2,1,2]=>[{5},{3,4,6},{2},{1}]=>[5,3,4,6,2,1]
[6,5,2,2,2,1]=>[{6},{3,4,5},{2},{1}]=>[6,3,4,5,2,1]
[1,2,2,3,3,3]=>[{1},{2,3},{4,5,6}]=>[1,2,3,4,5,6]
[1,2,3,2,3,3]=>[{1},{2,4},{3,5,6}]=>[1,2,4,3,5,6]
[1,2,3,3,2,3]=>[{1},{2,5},{3,4,6}]=>[1,2,5,3,4,6]
[1,2,3,3,3,2]=>[{1},{2,6},{3,4,5}]=>[1,2,6,3,4,5]
[1,3,2,2,3,3]=>[{1},{3,4},{2,5,6}]=>[1,3,4,2,5,6]
[1,3,2,3,2,3]=>[{1},{3,5},{2,4,6}]=>[1,3,5,2,4,6]
[1,3,2,3,3,2]=>[{1},{3,6},{2,4,5}]=>[1,3,6,2,4,5]
[1,3,3,2,2,3]=>[{1},{4,5},{2,3,6}]=>[1,4,5,2,3,6]
[1,3,3,2,3,2]=>[{1},{4,6},{2,3,5}]=>[1,4,6,2,3,5]
[1,3,3,3,2,2]=>[{1},{5,6},{2,3,4}]=>[1,5,6,2,3,4]
[2,1,2,3,3,3]=>[{2},{1,3},{4,5,6}]=>[2,1,3,4,5,6]
[2,1,3,2,3,3]=>[{2},{1,4},{3,5,6}]=>[2,1,4,3,5,6]
[2,1,3,3,2,3]=>[{2},{1,5},{3,4,6}]=>[2,1,5,3,4,6]
[2,1,3,3,3,2]=>[{2},{1,6},{3,4,5}]=>[2,1,6,3,4,5]
[2,2,1,3,3,3]=>[{3},{1,2},{4,5,6}]=>[3,1,2,4,5,6]
[2,2,3,1,3,3]=>[{4},{1,2},{3,5,6}]=>[4,1,2,3,5,6]
[2,2,3,3,1,3]=>[{5},{1,2},{3,4,6}]=>[5,1,2,3,4,6]
[2,2,3,3,3,1]=>[{6},{1,2},{3,4,5}]=>[6,1,2,3,4,5]
[2,3,1,2,3,3]=>[{3},{1,4},{2,5,6}]=>[3,1,4,2,5,6]
[2,3,1,3,2,3]=>[{3},{1,5},{2,4,6}]=>[3,1,5,2,4,6]
[2,3,1,3,3,2]=>[{3},{1,6},{2,4,5}]=>[3,1,6,2,4,5]
[2,3,2,1,3,3]=>[{4},{1,3},{2,5,6}]=>[4,1,3,2,5,6]
[2,3,2,3,1,3]=>[{5},{1,3},{2,4,6}]=>[5,1,3,2,4,6]
[2,3,2,3,3,1]=>[{6},{1,3},{2,4,5}]=>[6,1,3,2,4,5]
[2,3,3,1,2,3]=>[{4},{1,5},{2,3,6}]=>[4,1,5,2,3,6]
[2,3,3,1,3,2]=>[{4},{1,6},{2,3,5}]=>[4,1,6,2,3,5]
[2,3,3,2,1,3]=>[{5},{1,4},{2,3,6}]=>[5,1,4,2,3,6]
[2,3,3,2,3,1]=>[{6},{1,4},{2,3,5}]=>[6,1,4,2,3,5]
[2,3,3,3,1,2]=>[{5},{1,6},{2,3,4}]=>[5,1,6,2,3,4]
[2,3,3,3,2,1]=>[{6},{1,5},{2,3,4}]=>[6,1,5,2,3,4]
[3,1,2,2,3,3]=>[{2},{3,4},{1,5,6}]=>[2,3,4,1,5,6]
[3,1,2,3,2,3]=>[{2},{3,5},{1,4,6}]=>[2,3,5,1,4,6]
[3,1,2,3,3,2]=>[{2},{3,6},{1,4,5}]=>[2,3,6,1,4,5]
[3,1,3,2,2,3]=>[{2},{4,5},{1,3,6}]=>[2,4,5,1,3,6]
[3,1,3,2,3,2]=>[{2},{4,6},{1,3,5}]=>[2,4,6,1,3,5]
[3,1,3,3,2,2]=>[{2},{5,6},{1,3,4}]=>[2,5,6,1,3,4]
[3,2,1,2,3,3]=>[{3},{2,4},{1,5,6}]=>[3,2,4,1,5,6]
[3,2,1,3,2,3]=>[{3},{2,5},{1,4,6}]=>[3,2,5,1,4,6]
[3,2,1,3,3,2]=>[{3},{2,6},{1,4,5}]=>[3,2,6,1,4,5]
[3,2,2,1,3,3]=>[{4},{2,3},{1,5,6}]=>[4,2,3,1,5,6]
[3,2,2,3,1,3]=>[{5},{2,3},{1,4,6}]=>[5,2,3,1,4,6]
[3,2,2,3,3,1]=>[{6},{2,3},{1,4,5}]=>[6,2,3,1,4,5]
[3,2,3,1,2,3]=>[{4},{2,5},{1,3,6}]=>[4,2,5,1,3,6]
[3,2,3,1,3,2]=>[{4},{2,6},{1,3,5}]=>[4,2,6,1,3,5]
[3,2,3,2,1,3]=>[{5},{2,4},{1,3,6}]=>[5,2,4,1,3,6]
[3,2,3,2,3,1]=>[{6},{2,4},{1,3,5}]=>[6,2,4,1,3,5]
[3,2,3,3,1,2]=>[{5},{2,6},{1,3,4}]=>[5,2,6,1,3,4]
[3,2,3,3,2,1]=>[{6},{2,5},{1,3,4}]=>[6,2,5,1,3,4]
[3,3,1,2,2,3]=>[{3},{4,5},{1,2,6}]=>[3,4,5,1,2,6]
[3,3,1,2,3,2]=>[{3},{4,6},{1,2,5}]=>[3,4,6,1,2,5]
[3,3,1,3,2,2]=>[{3},{5,6},{1,2,4}]=>[3,5,6,1,2,4]
[3,3,2,1,2,3]=>[{4},{3,5},{1,2,6}]=>[4,3,5,1,2,6]
[3,3,2,1,3,2]=>[{4},{3,6},{1,2,5}]=>[4,3,6,1,2,5]
[3,3,2,2,1,3]=>[{5},{3,4},{1,2,6}]=>[5,3,4,1,2,6]
[3,3,2,2,3,1]=>[{6},{3,4},{1,2,5}]=>[6,3,4,1,2,5]
[3,3,2,3,1,2]=>[{5},{3,6},{1,2,4}]=>[5,3,6,1,2,4]
[3,3,2,3,2,1]=>[{6},{3,5},{1,2,4}]=>[6,3,5,1,2,4]
[3,3,3,1,2,2]=>[{4},{5,6},{1,2,3}]=>[4,5,6,1,2,3]
[3,3,3,2,1,2]=>[{5},{4,6},{1,2,3}]=>[5,4,6,1,2,3]
[3,3,3,2,2,1]=>[{6},{4,5},{1,2,3}]=>[6,4,5,1,2,3]
[1,2,2,3,3,4]=>[{1},{2,3},{4,5},{6}]=>[1,2,3,4,5,6]
[1,2,2,3,4,3]=>[{1},{2,3},{4,6},{5}]=>[1,2,3,4,6,5]
[1,2,2,4,3,3]=>[{1},{2,3},{5,6},{4}]=>[1,2,3,5,6,4]
[1,2,3,2,3,4]=>[{1},{2,4},{3,5},{6}]=>[1,2,4,3,5,6]
[1,2,3,2,4,3]=>[{1},{2,4},{3,6},{5}]=>[1,2,4,3,6,5]
[1,2,3,3,2,4]=>[{1},{2,5},{3,4},{6}]=>[1,2,5,3,4,6]
[1,2,3,3,4,2]=>[{1},{2,6},{3,4},{5}]=>[1,2,6,3,4,5]
[1,2,3,4,2,3]=>[{1},{2,5},{3,6},{4}]=>[1,2,5,3,6,4]
[1,2,3,4,3,2]=>[{1},{2,6},{3,5},{4}]=>[1,2,6,3,5,4]
[1,2,4,2,3,3]=>[{1},{2,4},{5,6},{3}]=>[1,2,4,5,6,3]
[1,2,4,3,2,3]=>[{1},{2,5},{4,6},{3}]=>[1,2,5,4,6,3]
[1,2,4,3,3,2]=>[{1},{2,6},{4,5},{3}]=>[1,2,6,4,5,3]
[1,3,2,2,3,4]=>[{1},{3,4},{2,5},{6}]=>[1,3,4,2,5,6]
[1,3,2,2,4,3]=>[{1},{3,4},{2,6},{5}]=>[1,3,4,2,6,5]
[1,3,2,3,2,4]=>[{1},{3,5},{2,4},{6}]=>[1,3,5,2,4,6]
[1,3,2,3,4,2]=>[{1},{3,6},{2,4},{5}]=>[1,3,6,2,4,5]
[1,3,2,4,2,3]=>[{1},{3,5},{2,6},{4}]=>[1,3,5,2,6,4]
[1,3,2,4,3,2]=>[{1},{3,6},{2,5},{4}]=>[1,3,6,2,5,4]
[1,3,3,2,2,4]=>[{1},{4,5},{2,3},{6}]=>[1,4,5,2,3,6]
[1,3,3,2,4,2]=>[{1},{4,6},{2,3},{5}]=>[1,4,6,2,3,5]
[1,3,3,4,2,2]=>[{1},{5,6},{2,3},{4}]=>[1,5,6,2,3,4]
[1,3,4,2,2,3]=>[{1},{4,5},{2,6},{3}]=>[1,4,5,2,6,3]
[1,3,4,2,3,2]=>[{1},{4,6},{2,5},{3}]=>[1,4,6,2,5,3]
[1,3,4,3,2,2]=>[{1},{5,6},{2,4},{3}]=>[1,5,6,2,4,3]
[1,4,2,2,3,3]=>[{1},{3,4},{5,6},{2}]=>[1,3,4,5,6,2]
[1,4,2,3,2,3]=>[{1},{3,5},{4,6},{2}]=>[1,3,5,4,6,2]
[1,4,2,3,3,2]=>[{1},{3,6},{4,5},{2}]=>[1,3,6,4,5,2]
[1,4,3,2,2,3]=>[{1},{4,5},{3,6},{2}]=>[1,4,5,3,6,2]
[1,4,3,2,3,2]=>[{1},{4,6},{3,5},{2}]=>[1,4,6,3,5,2]
[1,4,3,3,2,2]=>[{1},{5,6},{3,4},{2}]=>[1,5,6,3,4,2]
[2,1,2,3,3,4]=>[{2},{1,3},{4,5},{6}]=>[2,1,3,4,5,6]
[2,1,2,3,4,3]=>[{2},{1,3},{4,6},{5}]=>[2,1,3,4,6,5]
[2,1,2,4,3,3]=>[{2},{1,3},{5,6},{4}]=>[2,1,3,5,6,4]
[2,1,3,2,3,4]=>[{2},{1,4},{3,5},{6}]=>[2,1,4,3,5,6]
[2,1,3,2,4,3]=>[{2},{1,4},{3,6},{5}]=>[2,1,4,3,6,5]
[2,1,3,3,2,4]=>[{2},{1,5},{3,4},{6}]=>[2,1,5,3,4,6]
[2,1,3,3,4,2]=>[{2},{1,6},{3,4},{5}]=>[2,1,6,3,4,5]
[2,1,3,4,2,3]=>[{2},{1,5},{3,6},{4}]=>[2,1,5,3,6,4]
[2,1,3,4,3,2]=>[{2},{1,6},{3,5},{4}]=>[2,1,6,3,5,4]
[2,1,4,2,3,3]=>[{2},{1,4},{5,6},{3}]=>[2,1,4,5,6,3]
[2,1,4,3,2,3]=>[{2},{1,5},{4,6},{3}]=>[2,1,5,4,6,3]
[2,1,4,3,3,2]=>[{2},{1,6},{4,5},{3}]=>[2,1,6,4,5,3]
[2,2,1,3,3,4]=>[{3},{1,2},{4,5},{6}]=>[3,1,2,4,5,6]
[2,2,1,3,4,3]=>[{3},{1,2},{4,6},{5}]=>[3,1,2,4,6,5]
[2,2,1,4,3,3]=>[{3},{1,2},{5,6},{4}]=>[3,1,2,5,6,4]
[2,2,3,1,3,4]=>[{4},{1,2},{3,5},{6}]=>[4,1,2,3,5,6]
[2,2,3,1,4,3]=>[{4},{1,2},{3,6},{5}]=>[4,1,2,3,6,5]
[2,2,3,3,1,4]=>[{5},{1,2},{3,4},{6}]=>[5,1,2,3,4,6]
[2,2,3,3,4,1]=>[{6},{1,2},{3,4},{5}]=>[6,1,2,3,4,5]
[2,2,3,4,1,3]=>[{5},{1,2},{3,6},{4}]=>[5,1,2,3,6,4]
[2,2,3,4,3,1]=>[{6},{1,2},{3,5},{4}]=>[6,1,2,3,5,4]
[2,2,4,1,3,3]=>[{4},{1,2},{5,6},{3}]=>[4,1,2,5,6,3]
[2,2,4,3,1,3]=>[{5},{1,2},{4,6},{3}]=>[5,1,2,4,6,3]
[2,2,4,3,3,1]=>[{6},{1,2},{4,5},{3}]=>[6,1,2,4,5,3]
[2,3,1,2,3,4]=>[{3},{1,4},{2,5},{6}]=>[3,1,4,2,5,6]
[2,3,1,2,4,3]=>[{3},{1,4},{2,6},{5}]=>[3,1,4,2,6,5]
[2,3,1,3,2,4]=>[{3},{1,5},{2,4},{6}]=>[3,1,5,2,4,6]
[2,3,1,3,4,2]=>[{3},{1,6},{2,4},{5}]=>[3,1,6,2,4,5]
[2,3,1,4,2,3]=>[{3},{1,5},{2,6},{4}]=>[3,1,5,2,6,4]
[2,3,1,4,3,2]=>[{3},{1,6},{2,5},{4}]=>[3,1,6,2,5,4]
[2,3,2,1,3,4]=>[{4},{1,3},{2,5},{6}]=>[4,1,3,2,5,6]
[2,3,2,1,4,3]=>[{4},{1,3},{2,6},{5}]=>[4,1,3,2,6,5]
[2,3,2,3,1,4]=>[{5},{1,3},{2,4},{6}]=>[5,1,3,2,4,6]
[2,3,2,3,4,1]=>[{6},{1,3},{2,4},{5}]=>[6,1,3,2,4,5]
[2,3,2,4,1,3]=>[{5},{1,3},{2,6},{4}]=>[5,1,3,2,6,4]
[2,3,2,4,3,1]=>[{6},{1,3},{2,5},{4}]=>[6,1,3,2,5,4]
[2,3,3,1,2,4]=>[{4},{1,5},{2,3},{6}]=>[4,1,5,2,3,6]
[2,3,3,1,4,2]=>[{4},{1,6},{2,3},{5}]=>[4,1,6,2,3,5]
[2,3,3,2,1,4]=>[{5},{1,4},{2,3},{6}]=>[5,1,4,2,3,6]
[2,3,3,2,4,1]=>[{6},{1,4},{2,3},{5}]=>[6,1,4,2,3,5]
[2,3,3,4,1,2]=>[{5},{1,6},{2,3},{4}]=>[5,1,6,2,3,4]
[2,3,3,4,2,1]=>[{6},{1,5},{2,3},{4}]=>[6,1,5,2,3,4]
[2,3,4,1,2,3]=>[{4},{1,5},{2,6},{3}]=>[4,1,5,2,6,3]
[2,3,4,1,3,2]=>[{4},{1,6},{2,5},{3}]=>[4,1,6,2,5,3]
[2,3,4,2,1,3]=>[{5},{1,4},{2,6},{3}]=>[5,1,4,2,6,3]
[2,3,4,2,3,1]=>[{6},{1,4},{2,5},{3}]=>[6,1,4,2,5,3]
[2,3,4,3,1,2]=>[{5},{1,6},{2,4},{3}]=>[5,1,6,2,4,3]
[2,3,4,3,2,1]=>[{6},{1,5},{2,4},{3}]=>[6,1,5,2,4,3]
[2,4,1,2,3,3]=>[{3},{1,4},{5,6},{2}]=>[3,1,4,5,6,2]
[2,4,1,3,2,3]=>[{3},{1,5},{4,6},{2}]=>[3,1,5,4,6,2]
[2,4,1,3,3,2]=>[{3},{1,6},{4,5},{2}]=>[3,1,6,4,5,2]
[2,4,2,1,3,3]=>[{4},{1,3},{5,6},{2}]=>[4,1,3,5,6,2]
[2,4,2,3,1,3]=>[{5},{1,3},{4,6},{2}]=>[5,1,3,4,6,2]
[2,4,2,3,3,1]=>[{6},{1,3},{4,5},{2}]=>[6,1,3,4,5,2]
[2,4,3,1,2,3]=>[{4},{1,5},{3,6},{2}]=>[4,1,5,3,6,2]
[2,4,3,1,3,2]=>[{4},{1,6},{3,5},{2}]=>[4,1,6,3,5,2]
[2,4,3,2,1,3]=>[{5},{1,4},{3,6},{2}]=>[5,1,4,3,6,2]
[2,4,3,2,3,1]=>[{6},{1,4},{3,5},{2}]=>[6,1,4,3,5,2]
[2,4,3,3,1,2]=>[{5},{1,6},{3,4},{2}]=>[5,1,6,3,4,2]
[2,4,3,3,2,1]=>[{6},{1,5},{3,4},{2}]=>[6,1,5,3,4,2]
[3,1,2,2,3,4]=>[{2},{3,4},{1,5},{6}]=>[2,3,4,1,5,6]
[3,1,2,2,4,3]=>[{2},{3,4},{1,6},{5}]=>[2,3,4,1,6,5]
[3,1,2,3,2,4]=>[{2},{3,5},{1,4},{6}]=>[2,3,5,1,4,6]
[3,1,2,3,4,2]=>[{2},{3,6},{1,4},{5}]=>[2,3,6,1,4,5]
[3,1,2,4,2,3]=>[{2},{3,5},{1,6},{4}]=>[2,3,5,1,6,4]
[3,1,2,4,3,2]=>[{2},{3,6},{1,5},{4}]=>[2,3,6,1,5,4]
[3,1,3,2,2,4]=>[{2},{4,5},{1,3},{6}]=>[2,4,5,1,3,6]
[3,1,3,2,4,2]=>[{2},{4,6},{1,3},{5}]=>[2,4,6,1,3,5]
[3,1,3,4,2,2]=>[{2},{5,6},{1,3},{4}]=>[2,5,6,1,3,4]
[3,1,4,2,2,3]=>[{2},{4,5},{1,6},{3}]=>[2,4,5,1,6,3]
[3,1,4,2,3,2]=>[{2},{4,6},{1,5},{3}]=>[2,4,6,1,5,3]
[3,1,4,3,2,2]=>[{2},{5,6},{1,4},{3}]=>[2,5,6,1,4,3]
[3,2,1,2,3,4]=>[{3},{2,4},{1,5},{6}]=>[3,2,4,1,5,6]
[3,2,1,2,4,3]=>[{3},{2,4},{1,6},{5}]=>[3,2,4,1,6,5]
[3,2,1,3,2,4]=>[{3},{2,5},{1,4},{6}]=>[3,2,5,1,4,6]
[3,2,1,3,4,2]=>[{3},{2,6},{1,4},{5}]=>[3,2,6,1,4,5]
[3,2,1,4,2,3]=>[{3},{2,5},{1,6},{4}]=>[3,2,5,1,6,4]
[3,2,1,4,3,2]=>[{3},{2,6},{1,5},{4}]=>[3,2,6,1,5,4]
[3,2,2,1,3,4]=>[{4},{2,3},{1,5},{6}]=>[4,2,3,1,5,6]
[3,2,2,1,4,3]=>[{4},{2,3},{1,6},{5}]=>[4,2,3,1,6,5]
[3,2,2,3,1,4]=>[{5},{2,3},{1,4},{6}]=>[5,2,3,1,4,6]
[3,2,2,3,4,1]=>[{6},{2,3},{1,4},{5}]=>[6,2,3,1,4,5]
[3,2,2,4,1,3]=>[{5},{2,3},{1,6},{4}]=>[5,2,3,1,6,4]
[3,2,2,4,3,1]=>[{6},{2,3},{1,5},{4}]=>[6,2,3,1,5,4]
[3,2,3,1,2,4]=>[{4},{2,5},{1,3},{6}]=>[4,2,5,1,3,6]
[3,2,3,1,4,2]=>[{4},{2,6},{1,3},{5}]=>[4,2,6,1,3,5]
[3,2,3,2,1,4]=>[{5},{2,4},{1,3},{6}]=>[5,2,4,1,3,6]
[3,2,3,2,4,1]=>[{6},{2,4},{1,3},{5}]=>[6,2,4,1,3,5]
[3,2,3,4,1,2]=>[{5},{2,6},{1,3},{4}]=>[5,2,6,1,3,4]
[3,2,3,4,2,1]=>[{6},{2,5},{1,3},{4}]=>[6,2,5,1,3,4]
[3,2,4,1,2,3]=>[{4},{2,5},{1,6},{3}]=>[4,2,5,1,6,3]
[3,2,4,1,3,2]=>[{4},{2,6},{1,5},{3}]=>[4,2,6,1,5,3]
[3,2,4,2,1,3]=>[{5},{2,4},{1,6},{3}]=>[5,2,4,1,6,3]
[3,2,4,2,3,1]=>[{6},{2,4},{1,5},{3}]=>[6,2,4,1,5,3]
[3,2,4,3,1,2]=>[{5},{2,6},{1,4},{3}]=>[5,2,6,1,4,3]
[3,2,4,3,2,1]=>[{6},{2,5},{1,4},{3}]=>[6,2,5,1,4,3]
[3,3,1,2,2,4]=>[{3},{4,5},{1,2},{6}]=>[3,4,5,1,2,6]
[3,3,1,2,4,2]=>[{3},{4,6},{1,2},{5}]=>[3,4,6,1,2,5]
[3,3,1,4,2,2]=>[{3},{5,6},{1,2},{4}]=>[3,5,6,1,2,4]
[3,3,2,1,2,4]=>[{4},{3,5},{1,2},{6}]=>[4,3,5,1,2,6]
[3,3,2,1,4,2]=>[{4},{3,6},{1,2},{5}]=>[4,3,6,1,2,5]
[3,3,2,2,1,4]=>[{5},{3,4},{1,2},{6}]=>[5,3,4,1,2,6]
[3,3,2,2,4,1]=>[{6},{3,4},{1,2},{5}]=>[6,3,4,1,2,5]
[3,3,2,4,1,2]=>[{5},{3,6},{1,2},{4}]=>[5,3,6,1,2,4]
[3,3,2,4,2,1]=>[{6},{3,5},{1,2},{4}]=>[6,3,5,1,2,4]
[3,3,4,1,2,2]=>[{4},{5,6},{1,2},{3}]=>[4,5,6,1,2,3]
[3,3,4,2,1,2]=>[{5},{4,6},{1,2},{3}]=>[5,4,6,1,2,3]
[3,3,4,2,2,1]=>[{6},{4,5},{1,2},{3}]=>[6,4,5,1,2,3]
[3,4,1,2,2,3]=>[{3},{4,5},{1,6},{2}]=>[3,4,5,1,6,2]
[3,4,1,2,3,2]=>[{3},{4,6},{1,5},{2}]=>[3,4,6,1,5,2]
[3,4,1,3,2,2]=>[{3},{5,6},{1,4},{2}]=>[3,5,6,1,4,2]
[3,4,2,1,2,3]=>[{4},{3,5},{1,6},{2}]=>[4,3,5,1,6,2]
[3,4,2,1,3,2]=>[{4},{3,6},{1,5},{2}]=>[4,3,6,1,5,2]
[3,4,2,2,1,3]=>[{5},{3,4},{1,6},{2}]=>[5,3,4,1,6,2]
[3,4,2,2,3,1]=>[{6},{3,4},{1,5},{2}]=>[6,3,4,1,5,2]
[3,4,2,3,1,2]=>[{5},{3,6},{1,4},{2}]=>[5,3,6,1,4,2]
[3,4,2,3,2,1]=>[{6},{3,5},{1,4},{2}]=>[6,3,5,1,4,2]
[3,4,3,1,2,2]=>[{4},{5,6},{1,3},{2}]=>[4,5,6,1,3,2]
[3,4,3,2,1,2]=>[{5},{4,6},{1,3},{2}]=>[5,4,6,1,3,2]
[3,4,3,2,2,1]=>[{6},{4,5},{1,3},{2}]=>[6,4,5,1,3,2]
[4,1,2,2,3,3]=>[{2},{3,4},{5,6},{1}]=>[2,3,4,5,6,1]
[4,1,2,3,2,3]=>[{2},{3,5},{4,6},{1}]=>[2,3,5,4,6,1]
[4,1,2,3,3,2]=>[{2},{3,6},{4,5},{1}]=>[2,3,6,4,5,1]
[4,1,3,2,2,3]=>[{2},{4,5},{3,6},{1}]=>[2,4,5,3,6,1]
[4,1,3,2,3,2]=>[{2},{4,6},{3,5},{1}]=>[2,4,6,3,5,1]
[4,1,3,3,2,2]=>[{2},{5,6},{3,4},{1}]=>[2,5,6,3,4,1]
[4,2,1,2,3,3]=>[{3},{2,4},{5,6},{1}]=>[3,2,4,5,6,1]
[4,2,1,3,2,3]=>[{3},{2,5},{4,6},{1}]=>[3,2,5,4,6,1]
[4,2,1,3,3,2]=>[{3},{2,6},{4,5},{1}]=>[3,2,6,4,5,1]
[4,2,2,1,3,3]=>[{4},{2,3},{5,6},{1}]=>[4,2,3,5,6,1]
[4,2,2,3,1,3]=>[{5},{2,3},{4,6},{1}]=>[5,2,3,4,6,1]
[4,2,2,3,3,1]=>[{6},{2,3},{4,5},{1}]=>[6,2,3,4,5,1]
[4,2,3,1,2,3]=>[{4},{2,5},{3,6},{1}]=>[4,2,5,3,6,1]
[4,2,3,1,3,2]=>[{4},{2,6},{3,5},{1}]=>[4,2,6,3,5,1]
[4,2,3,2,1,3]=>[{5},{2,4},{3,6},{1}]=>[5,2,4,3,6,1]
[4,2,3,2,3,1]=>[{6},{2,4},{3,5},{1}]=>[6,2,4,3,5,1]
[4,2,3,3,1,2]=>[{5},{2,6},{3,4},{1}]=>[5,2,6,3,4,1]
[4,2,3,3,2,1]=>[{6},{2,5},{3,4},{1}]=>[6,2,5,3,4,1]
[4,3,1,2,2,3]=>[{3},{4,5},{2,6},{1}]=>[3,4,5,2,6,1]
[4,3,1,2,3,2]=>[{3},{4,6},{2,5},{1}]=>[3,4,6,2,5,1]
[4,3,1,3,2,2]=>[{3},{5,6},{2,4},{1}]=>[3,5,6,2,4,1]
[4,3,2,1,2,3]=>[{4},{3,5},{2,6},{1}]=>[4,3,5,2,6,1]
[4,3,2,1,3,2]=>[{4},{3,6},{2,5},{1}]=>[4,3,6,2,5,1]
[4,3,2,2,1,3]=>[{5},{3,4},{2,6},{1}]=>[5,3,4,2,6,1]
[4,3,2,2,3,1]=>[{6},{3,4},{2,5},{1}]=>[6,3,4,2,5,1]
[4,3,2,3,1,2]=>[{5},{3,6},{2,4},{1}]=>[5,3,6,2,4,1]
[4,3,2,3,2,1]=>[{6},{3,5},{2,4},{1}]=>[6,3,5,2,4,1]
[4,3,3,1,2,2]=>[{4},{5,6},{2,3},{1}]=>[4,5,6,2,3,1]
[4,3,3,2,1,2]=>[{5},{4,6},{2,3},{1}]=>[5,4,6,2,3,1]
[4,3,3,2,2,1]=>[{6},{4,5},{2,3},{1}]=>[6,4,5,2,3,1]
[1,2,2,3,3,5]=>[{1},{2,3},{4,5},{6}]=>[1,2,3,4,5,6]
[1,2,2,3,5,3]=>[{1},{2,3},{4,6},{5}]=>[1,2,3,4,6,5]
[1,2,2,5,3,3]=>[{1},{2,3},{5,6},{4}]=>[1,2,3,5,6,4]
[1,2,3,2,3,5]=>[{1},{2,4},{3,5},{6}]=>[1,2,4,3,5,6]
[1,2,3,2,5,3]=>[{1},{2,4},{3,6},{5}]=>[1,2,4,3,6,5]
[1,2,3,3,2,5]=>[{1},{2,5},{3,4},{6}]=>[1,2,5,3,4,6]
[1,2,3,3,5,2]=>[{1},{2,6},{3,4},{5}]=>[1,2,6,3,4,5]
[1,2,3,5,2,3]=>[{1},{2,5},{3,6},{4}]=>[1,2,5,3,6,4]
[1,2,3,5,3,2]=>[{1},{2,6},{3,5},{4}]=>[1,2,6,3,5,4]
[1,2,5,2,3,3]=>[{1},{2,4},{5,6},{3}]=>[1,2,4,5,6,3]
[1,2,5,3,2,3]=>[{1},{2,5},{4,6},{3}]=>[1,2,5,4,6,3]
[1,2,5,3,3,2]=>[{1},{2,6},{4,5},{3}]=>[1,2,6,4,5,3]
[1,3,2,2,3,5]=>[{1},{3,4},{2,5},{6}]=>[1,3,4,2,5,6]
[1,3,2,2,5,3]=>[{1},{3,4},{2,6},{5}]=>[1,3,4,2,6,5]
[1,3,2,3,2,5]=>[{1},{3,5},{2,4},{6}]=>[1,3,5,2,4,6]
[1,3,2,3,5,2]=>[{1},{3,6},{2,4},{5}]=>[1,3,6,2,4,5]
[1,3,2,5,2,3]=>[{1},{3,5},{2,6},{4}]=>[1,3,5,2,6,4]
[1,3,2,5,3,2]=>[{1},{3,6},{2,5},{4}]=>[1,3,6,2,5,4]
[1,3,3,2,2,5]=>[{1},{4,5},{2,3},{6}]=>[1,4,5,2,3,6]
[1,3,3,2,5,2]=>[{1},{4,6},{2,3},{5}]=>[1,4,6,2,3,5]
[1,3,3,5,2,2]=>[{1},{5,6},{2,3},{4}]=>[1,5,6,2,3,4]
[1,3,5,2,2,3]=>[{1},{4,5},{2,6},{3}]=>[1,4,5,2,6,3]
[1,3,5,2,3,2]=>[{1},{4,6},{2,5},{3}]=>[1,4,6,2,5,3]
[1,3,5,3,2,2]=>[{1},{5,6},{2,4},{3}]=>[1,5,6,2,4,3]
[1,5,2,2,3,3]=>[{1},{3,4},{5,6},{2}]=>[1,3,4,5,6,2]
[1,5,2,3,2,3]=>[{1},{3,5},{4,6},{2}]=>[1,3,5,4,6,2]
[1,5,2,3,3,2]=>[{1},{3,6},{4,5},{2}]=>[1,3,6,4,5,2]
[1,5,3,2,2,3]=>[{1},{4,5},{3,6},{2}]=>[1,4,5,3,6,2]
[1,5,3,2,3,2]=>[{1},{4,6},{3,5},{2}]=>[1,4,6,3,5,2]
[1,5,3,3,2,2]=>[{1},{5,6},{3,4},{2}]=>[1,5,6,3,4,2]
[2,1,2,3,3,5]=>[{2},{1,3},{4,5},{6}]=>[2,1,3,4,5,6]
[2,1,2,3,5,3]=>[{2},{1,3},{4,6},{5}]=>[2,1,3,4,6,5]
[2,1,2,5,3,3]=>[{2},{1,3},{5,6},{4}]=>[2,1,3,5,6,4]
[2,1,3,2,3,5]=>[{2},{1,4},{3,5},{6}]=>[2,1,4,3,5,6]
[2,1,3,2,5,3]=>[{2},{1,4},{3,6},{5}]=>[2,1,4,3,6,5]
[2,1,3,3,2,5]=>[{2},{1,5},{3,4},{6}]=>[2,1,5,3,4,6]
[2,1,3,3,5,2]=>[{2},{1,6},{3,4},{5}]=>[2,1,6,3,4,5]
[2,1,3,5,2,3]=>[{2},{1,5},{3,6},{4}]=>[2,1,5,3,6,4]
[2,1,3,5,3,2]=>[{2},{1,6},{3,5},{4}]=>[2,1,6,3,5,4]
[2,1,5,2,3,3]=>[{2},{1,4},{5,6},{3}]=>[2,1,4,5,6,3]
[2,1,5,3,2,3]=>[{2},{1,5},{4,6},{3}]=>[2,1,5,4,6,3]
[2,1,5,3,3,2]=>[{2},{1,6},{4,5},{3}]=>[2,1,6,4,5,3]
[2,2,1,3,3,5]=>[{3},{1,2},{4,5},{6}]=>[3,1,2,4,5,6]
[2,2,1,3,5,3]=>[{3},{1,2},{4,6},{5}]=>[3,1,2,4,6,5]
[2,2,1,5,3,3]=>[{3},{1,2},{5,6},{4}]=>[3,1,2,5,6,4]
[2,2,3,1,3,5]=>[{4},{1,2},{3,5},{6}]=>[4,1,2,3,5,6]
[2,2,3,1,5,3]=>[{4},{1,2},{3,6},{5}]=>[4,1,2,3,6,5]
[2,2,3,3,1,5]=>[{5},{1,2},{3,4},{6}]=>[5,1,2,3,4,6]
[2,2,3,3,5,1]=>[{6},{1,2},{3,4},{5}]=>[6,1,2,3,4,5]
[2,2,3,5,1,3]=>[{5},{1,2},{3,6},{4}]=>[5,1,2,3,6,4]
[2,2,3,5,3,1]=>[{6},{1,2},{3,5},{4}]=>[6,1,2,3,5,4]
[2,2,5,1,3,3]=>[{4},{1,2},{5,6},{3}]=>[4,1,2,5,6,3]
[2,2,5,3,1,3]=>[{5},{1,2},{4,6},{3}]=>[5,1,2,4,6,3]
[2,2,5,3,3,1]=>[{6},{1,2},{4,5},{3}]=>[6,1,2,4,5,3]
[2,3,1,2,3,5]=>[{3},{1,4},{2,5},{6}]=>[3,1,4,2,5,6]
[2,3,1,2,5,3]=>[{3},{1,4},{2,6},{5}]=>[3,1,4,2,6,5]
[2,3,1,3,2,5]=>[{3},{1,5},{2,4},{6}]=>[3,1,5,2,4,6]
[2,3,1,3,5,2]=>[{3},{1,6},{2,4},{5}]=>[3,1,6,2,4,5]
[2,3,1,5,2,3]=>[{3},{1,5},{2,6},{4}]=>[3,1,5,2,6,4]
[2,3,1,5,3,2]=>[{3},{1,6},{2,5},{4}]=>[3,1,6,2,5,4]
[2,3,2,1,3,5]=>[{4},{1,3},{2,5},{6}]=>[4,1,3,2,5,6]
[2,3,2,1,5,3]=>[{4},{1,3},{2,6},{5}]=>[4,1,3,2,6,5]
[2,3,2,3,1,5]=>[{5},{1,3},{2,4},{6}]=>[5,1,3,2,4,6]
[2,3,2,3,5,1]=>[{6},{1,3},{2,4},{5}]=>[6,1,3,2,4,5]
[2,3,2,5,1,3]=>[{5},{1,3},{2,6},{4}]=>[5,1,3,2,6,4]
[2,3,2,5,3,1]=>[{6},{1,3},{2,5},{4}]=>[6,1,3,2,5,4]
[2,3,3,1,2,5]=>[{4},{1,5},{2,3},{6}]=>[4,1,5,2,3,6]
[2,3,3,1,5,2]=>[{4},{1,6},{2,3},{5}]=>[4,1,6,2,3,5]
[2,3,3,2,1,5]=>[{5},{1,4},{2,3},{6}]=>[5,1,4,2,3,6]
[2,3,3,2,5,1]=>[{6},{1,4},{2,3},{5}]=>[6,1,4,2,3,5]
[2,3,3,5,1,2]=>[{5},{1,6},{2,3},{4}]=>[5,1,6,2,3,4]
[2,3,3,5,2,1]=>[{6},{1,5},{2,3},{4}]=>[6,1,5,2,3,4]
[2,3,5,1,2,3]=>[{4},{1,5},{2,6},{3}]=>[4,1,5,2,6,3]
[2,3,5,1,3,2]=>[{4},{1,6},{2,5},{3}]=>[4,1,6,2,5,3]
[2,3,5,2,1,3]=>[{5},{1,4},{2,6},{3}]=>[5,1,4,2,6,3]
[2,3,5,2,3,1]=>[{6},{1,4},{2,5},{3}]=>[6,1,4,2,5,3]
[2,3,5,3,1,2]=>[{5},{1,6},{2,4},{3}]=>[5,1,6,2,4,3]
[2,3,5,3,2,1]=>[{6},{1,5},{2,4},{3}]=>[6,1,5,2,4,3]
[2,5,1,2,3,3]=>[{3},{1,4},{5,6},{2}]=>[3,1,4,5,6,2]
[2,5,1,3,2,3]=>[{3},{1,5},{4,6},{2}]=>[3,1,5,4,6,2]
[2,5,1,3,3,2]=>[{3},{1,6},{4,5},{2}]=>[3,1,6,4,5,2]
[2,5,2,1,3,3]=>[{4},{1,3},{5,6},{2}]=>[4,1,3,5,6,2]
[2,5,2,3,1,3]=>[{5},{1,3},{4,6},{2}]=>[5,1,3,4,6,2]
[2,5,2,3,3,1]=>[{6},{1,3},{4,5},{2}]=>[6,1,3,4,5,2]
[2,5,3,1,2,3]=>[{4},{1,5},{3,6},{2}]=>[4,1,5,3,6,2]
[2,5,3,1,3,2]=>[{4},{1,6},{3,5},{2}]=>[4,1,6,3,5,2]
[2,5,3,2,1,3]=>[{5},{1,4},{3,6},{2}]=>[5,1,4,3,6,2]
[2,5,3,2,3,1]=>[{6},{1,4},{3,5},{2}]=>[6,1,4,3,5,2]
[2,5,3,3,1,2]=>[{5},{1,6},{3,4},{2}]=>[5,1,6,3,4,2]
[2,5,3,3,2,1]=>[{6},{1,5},{3,4},{2}]=>[6,1,5,3,4,2]
[3,1,2,2,3,5]=>[{2},{3,4},{1,5},{6}]=>[2,3,4,1,5,6]
[3,1,2,2,5,3]=>[{2},{3,4},{1,6},{5}]=>[2,3,4,1,6,5]
[3,1,2,3,2,5]=>[{2},{3,5},{1,4},{6}]=>[2,3,5,1,4,6]
[3,1,2,3,5,2]=>[{2},{3,6},{1,4},{5}]=>[2,3,6,1,4,5]
[3,1,2,5,2,3]=>[{2},{3,5},{1,6},{4}]=>[2,3,5,1,6,4]
[3,1,2,5,3,2]=>[{2},{3,6},{1,5},{4}]=>[2,3,6,1,5,4]
[3,1,3,2,2,5]=>[{2},{4,5},{1,3},{6}]=>[2,4,5,1,3,6]
[3,1,3,2,5,2]=>[{2},{4,6},{1,3},{5}]=>[2,4,6,1,3,5]
[3,1,3,5,2,2]=>[{2},{5,6},{1,3},{4}]=>[2,5,6,1,3,4]
[3,1,5,2,2,3]=>[{2},{4,5},{1,6},{3}]=>[2,4,5,1,6,3]
[3,1,5,2,3,2]=>[{2},{4,6},{1,5},{3}]=>[2,4,6,1,5,3]
[3,1,5,3,2,2]=>[{2},{5,6},{1,4},{3}]=>[2,5,6,1,4,3]
[3,2,1,2,3,5]=>[{3},{2,4},{1,5},{6}]=>[3,2,4,1,5,6]
[3,2,1,2,5,3]=>[{3},{2,4},{1,6},{5}]=>[3,2,4,1,6,5]
[3,2,1,3,2,5]=>[{3},{2,5},{1,4},{6}]=>[3,2,5,1,4,6]
[3,2,1,3,5,2]=>[{3},{2,6},{1,4},{5}]=>[3,2,6,1,4,5]
[3,2,1,5,2,3]=>[{3},{2,5},{1,6},{4}]=>[3,2,5,1,6,4]
[3,2,1,5,3,2]=>[{3},{2,6},{1,5},{4}]=>[3,2,6,1,5,4]
[3,2,2,1,3,5]=>[{4},{2,3},{1,5},{6}]=>[4,2,3,1,5,6]
[3,2,2,1,5,3]=>[{4},{2,3},{1,6},{5}]=>[4,2,3,1,6,5]
[3,2,2,3,1,5]=>[{5},{2,3},{1,4},{6}]=>[5,2,3,1,4,6]
[3,2,2,3,5,1]=>[{6},{2,3},{1,4},{5}]=>[6,2,3,1,4,5]
[3,2,2,5,1,3]=>[{5},{2,3},{1,6},{4}]=>[5,2,3,1,6,4]
[3,2,2,5,3,1]=>[{6},{2,3},{1,5},{4}]=>[6,2,3,1,5,4]
[3,2,3,1,2,5]=>[{4},{2,5},{1,3},{6}]=>[4,2,5,1,3,6]
[3,2,3,1,5,2]=>[{4},{2,6},{1,3},{5}]=>[4,2,6,1,3,5]
[3,2,3,2,1,5]=>[{5},{2,4},{1,3},{6}]=>[5,2,4,1,3,6]
[3,2,3,2,5,1]=>[{6},{2,4},{1,3},{5}]=>[6,2,4,1,3,5]
[3,2,3,5,1,2]=>[{5},{2,6},{1,3},{4}]=>[5,2,6,1,3,4]
[3,2,3,5,2,1]=>[{6},{2,5},{1,3},{4}]=>[6,2,5,1,3,4]
[3,2,5,1,2,3]=>[{4},{2,5},{1,6},{3}]=>[4,2,5,1,6,3]
[3,2,5,1,3,2]=>[{4},{2,6},{1,5},{3}]=>[4,2,6,1,5,3]
[3,2,5,2,1,3]=>[{5},{2,4},{1,6},{3}]=>[5,2,4,1,6,3]
[3,2,5,2,3,1]=>[{6},{2,4},{1,5},{3}]=>[6,2,4,1,5,3]
[3,2,5,3,1,2]=>[{5},{2,6},{1,4},{3}]=>[5,2,6,1,4,3]
[3,2,5,3,2,1]=>[{6},{2,5},{1,4},{3}]=>[6,2,5,1,4,3]
[3,3,1,2,2,5]=>[{3},{4,5},{1,2},{6}]=>[3,4,5,1,2,6]
[3,3,1,2,5,2]=>[{3},{4,6},{1,2},{5}]=>[3,4,6,1,2,5]
[3,3,1,5,2,2]=>[{3},{5,6},{1,2},{4}]=>[3,5,6,1,2,4]
[3,3,2,1,2,5]=>[{4},{3,5},{1,2},{6}]=>[4,3,5,1,2,6]
[3,3,2,1,5,2]=>[{4},{3,6},{1,2},{5}]=>[4,3,6,1,2,5]
[3,3,2,2,1,5]=>[{5},{3,4},{1,2},{6}]=>[5,3,4,1,2,6]
[3,3,2,2,5,1]=>[{6},{3,4},{1,2},{5}]=>[6,3,4,1,2,5]
[3,3,2,5,1,2]=>[{5},{3,6},{1,2},{4}]=>[5,3,6,1,2,4]
[3,3,2,5,2,1]=>[{6},{3,5},{1,2},{4}]=>[6,3,5,1,2,4]
[3,3,5,1,2,2]=>[{4},{5,6},{1,2},{3}]=>[4,5,6,1,2,3]
[3,3,5,2,1,2]=>[{5},{4,6},{1,2},{3}]=>[5,4,6,1,2,3]
[3,3,5,2,2,1]=>[{6},{4,5},{1,2},{3}]=>[6,4,5,1,2,3]
[3,5,1,2,2,3]=>[{3},{4,5},{1,6},{2}]=>[3,4,5,1,6,2]
[3,5,1,2,3,2]=>[{3},{4,6},{1,5},{2}]=>[3,4,6,1,5,2]
[3,5,1,3,2,2]=>[{3},{5,6},{1,4},{2}]=>[3,5,6,1,4,2]
[3,5,2,1,2,3]=>[{4},{3,5},{1,6},{2}]=>[4,3,5,1,6,2]
[3,5,2,1,3,2]=>[{4},{3,6},{1,5},{2}]=>[4,3,6,1,5,2]
[3,5,2,2,1,3]=>[{5},{3,4},{1,6},{2}]=>[5,3,4,1,6,2]
[3,5,2,2,3,1]=>[{6},{3,4},{1,5},{2}]=>[6,3,4,1,5,2]
[3,5,2,3,1,2]=>[{5},{3,6},{1,4},{2}]=>[5,3,6,1,4,2]
[3,5,2,3,2,1]=>[{6},{3,5},{1,4},{2}]=>[6,3,5,1,4,2]
[3,5,3,1,2,2]=>[{4},{5,6},{1,3},{2}]=>[4,5,6,1,3,2]
[3,5,3,2,1,2]=>[{5},{4,6},{1,3},{2}]=>[5,4,6,1,3,2]
[3,5,3,2,2,1]=>[{6},{4,5},{1,3},{2}]=>[6,4,5,1,3,2]
[5,1,2,2,3,3]=>[{2},{3,4},{5,6},{1}]=>[2,3,4,5,6,1]
[5,1,2,3,2,3]=>[{2},{3,5},{4,6},{1}]=>[2,3,5,4,6,1]
[5,1,2,3,3,2]=>[{2},{3,6},{4,5},{1}]=>[2,3,6,4,5,1]
[5,1,3,2,2,3]=>[{2},{4,5},{3,6},{1}]=>[2,4,5,3,6,1]
[5,1,3,2,3,2]=>[{2},{4,6},{3,5},{1}]=>[2,4,6,3,5,1]
[5,1,3,3,2,2]=>[{2},{5,6},{3,4},{1}]=>[2,5,6,3,4,1]
[5,2,1,2,3,3]=>[{3},{2,4},{5,6},{1}]=>[3,2,4,5,6,1]
[5,2,1,3,2,3]=>[{3},{2,5},{4,6},{1}]=>[3,2,5,4,6,1]
[5,2,1,3,3,2]=>[{3},{2,6},{4,5},{1}]=>[3,2,6,4,5,1]
[5,2,2,1,3,3]=>[{4},{2,3},{5,6},{1}]=>[4,2,3,5,6,1]
[5,2,2,3,1,3]=>[{5},{2,3},{4,6},{1}]=>[5,2,3,4,6,1]
[5,2,2,3,3,1]=>[{6},{2,3},{4,5},{1}]=>[6,2,3,4,5,1]
[5,2,3,1,2,3]=>[{4},{2,5},{3,6},{1}]=>[4,2,5,3,6,1]
[5,2,3,1,3,2]=>[{4},{2,6},{3,5},{1}]=>[4,2,6,3,5,1]
[5,2,3,2,1,3]=>[{5},{2,4},{3,6},{1}]=>[5,2,4,3,6,1]
[5,2,3,2,3,1]=>[{6},{2,4},{3,5},{1}]=>[6,2,4,3,5,1]
[5,2,3,3,1,2]=>[{5},{2,6},{3,4},{1}]=>[5,2,6,3,4,1]
[5,2,3,3,2,1]=>[{6},{2,5},{3,4},{1}]=>[6,2,5,3,4,1]
[5,3,1,2,2,3]=>[{3},{4,5},{2,6},{1}]=>[3,4,5,2,6,1]
[5,3,1,2,3,2]=>[{3},{4,6},{2,5},{1}]=>[3,4,6,2,5,1]
[5,3,1,3,2,2]=>[{3},{5,6},{2,4},{1}]=>[3,5,6,2,4,1]
[5,3,2,1,2,3]=>[{4},{3,5},{2,6},{1}]=>[4,3,5,2,6,1]
[5,3,2,1,3,2]=>[{4},{3,6},{2,5},{1}]=>[4,3,6,2,5,1]
[5,3,2,2,1,3]=>[{5},{3,4},{2,6},{1}]=>[5,3,4,2,6,1]
[5,3,2,2,3,1]=>[{6},{3,4},{2,5},{1}]=>[6,3,4,2,5,1]
[5,3,2,3,1,2]=>[{5},{3,6},{2,4},{1}]=>[5,3,6,2,4,1]
[5,3,2,3,2,1]=>[{6},{3,5},{2,4},{1}]=>[6,3,5,2,4,1]
[5,3,3,1,2,2]=>[{4},{5,6},{2,3},{1}]=>[4,5,6,2,3,1]
[5,3,3,2,1,2]=>[{5},{4,6},{2,3},{1}]=>[5,4,6,2,3,1]
[5,3,3,2,2,1]=>[{6},{4,5},{2,3},{1}]=>[6,4,5,2,3,1]
[1,2,2,3,3,6]=>[{1},{2,3},{4,5},{6}]=>[1,2,3,4,5,6]
[1,2,2,3,6,3]=>[{1},{2,3},{4,6},{5}]=>[1,2,3,4,6,5]
[1,2,2,6,3,3]=>[{1},{2,3},{5,6},{4}]=>[1,2,3,5,6,4]
[1,2,3,2,3,6]=>[{1},{2,4},{3,5},{6}]=>[1,2,4,3,5,6]
[1,2,3,2,6,3]=>[{1},{2,4},{3,6},{5}]=>[1,2,4,3,6,5]
[1,2,3,3,2,6]=>[{1},{2,5},{3,4},{6}]=>[1,2,5,3,4,6]
[1,2,3,3,6,2]=>[{1},{2,6},{3,4},{5}]=>[1,2,6,3,4,5]
[1,2,3,6,2,3]=>[{1},{2,5},{3,6},{4}]=>[1,2,5,3,6,4]
[1,2,3,6,3,2]=>[{1},{2,6},{3,5},{4}]=>[1,2,6,3,5,4]
[1,2,6,2,3,3]=>[{1},{2,4},{5,6},{3}]=>[1,2,4,5,6,3]
[1,2,6,3,2,3]=>[{1},{2,5},{4,6},{3}]=>[1,2,5,4,6,3]
[1,2,6,3,3,2]=>[{1},{2,6},{4,5},{3}]=>[1,2,6,4,5,3]
[1,3,2,2,3,6]=>[{1},{3,4},{2,5},{6}]=>[1,3,4,2,5,6]
[1,3,2,2,6,3]=>[{1},{3,4},{2,6},{5}]=>[1,3,4,2,6,5]
[1,3,2,3,2,6]=>[{1},{3,5},{2,4},{6}]=>[1,3,5,2,4,6]
[1,3,2,3,6,2]=>[{1},{3,6},{2,4},{5}]=>[1,3,6,2,4,5]
[1,3,2,6,2,3]=>[{1},{3,5},{2,6},{4}]=>[1,3,5,2,6,4]
[1,3,2,6,3,2]=>[{1},{3,6},{2,5},{4}]=>[1,3,6,2,5,4]
[1,3,3,2,2,6]=>[{1},{4,5},{2,3},{6}]=>[1,4,5,2,3,6]
[1,3,3,2,6,2]=>[{1},{4,6},{2,3},{5}]=>[1,4,6,2,3,5]
[1,3,3,6,2,2]=>[{1},{5,6},{2,3},{4}]=>[1,5,6,2,3,4]
[1,3,6,2,2,3]=>[{1},{4,5},{2,6},{3}]=>[1,4,5,2,6,3]
[1,3,6,2,3,2]=>[{1},{4,6},{2,5},{3}]=>[1,4,6,2,5,3]
[1,3,6,3,2,2]=>[{1},{5,6},{2,4},{3}]=>[1,5,6,2,4,3]
[1,6,2,2,3,3]=>[{1},{3,4},{5,6},{2}]=>[1,3,4,5,6,2]
[1,6,2,3,2,3]=>[{1},{3,5},{4,6},{2}]=>[1,3,5,4,6,2]
[1,6,2,3,3,2]=>[{1},{3,6},{4,5},{2}]=>[1,3,6,4,5,2]
[1,6,3,2,2,3]=>[{1},{4,5},{3,6},{2}]=>[1,4,5,3,6,2]
[1,6,3,2,3,2]=>[{1},{4,6},{3,5},{2}]=>[1,4,6,3,5,2]
[1,6,3,3,2,2]=>[{1},{5,6},{3,4},{2}]=>[1,5,6,3,4,2]
[2,1,2,3,3,6]=>[{2},{1,3},{4,5},{6}]=>[2,1,3,4,5,6]
[2,1,2,3,6,3]=>[{2},{1,3},{4,6},{5}]=>[2,1,3,4,6,5]
[2,1,2,6,3,3]=>[{2},{1,3},{5,6},{4}]=>[2,1,3,5,6,4]
[2,1,3,2,3,6]=>[{2},{1,4},{3,5},{6}]=>[2,1,4,3,5,6]
[2,1,3,2,6,3]=>[{2},{1,4},{3,6},{5}]=>[2,1,4,3,6,5]
[2,1,3,3,2,6]=>[{2},{1,5},{3,4},{6}]=>[2,1,5,3,4,6]
[2,1,3,3,6,2]=>[{2},{1,6},{3,4},{5}]=>[2,1,6,3,4,5]
[2,1,3,6,2,3]=>[{2},{1,5},{3,6},{4}]=>[2,1,5,3,6,4]
[2,1,3,6,3,2]=>[{2},{1,6},{3,5},{4}]=>[2,1,6,3,5,4]
[2,1,6,2,3,3]=>[{2},{1,4},{5,6},{3}]=>[2,1,4,5,6,3]
[2,1,6,3,2,3]=>[{2},{1,5},{4,6},{3}]=>[2,1,5,4,6,3]
[2,1,6,3,3,2]=>[{2},{1,6},{4,5},{3}]=>[2,1,6,4,5,3]
[2,2,1,3,3,6]=>[{3},{1,2},{4,5},{6}]=>[3,1,2,4,5,6]
[2,2,1,3,6,3]=>[{3},{1,2},{4,6},{5}]=>[3,1,2,4,6,5]
[2,2,1,6,3,3]=>[{3},{1,2},{5,6},{4}]=>[3,1,2,5,6,4]
[2,2,3,1,3,6]=>[{4},{1,2},{3,5},{6}]=>[4,1,2,3,5,6]
[2,2,3,1,6,3]=>[{4},{1,2},{3,6},{5}]=>[4,1,2,3,6,5]
[2,2,3,3,1,6]=>[{5},{1,2},{3,4},{6}]=>[5,1,2,3,4,6]
[2,2,3,3,6,1]=>[{6},{1,2},{3,4},{5}]=>[6,1,2,3,4,5]
[2,2,3,6,1,3]=>[{5},{1,2},{3,6},{4}]=>[5,1,2,3,6,4]
[2,2,3,6,3,1]=>[{6},{1,2},{3,5},{4}]=>[6,1,2,3,5,4]
[2,2,6,1,3,3]=>[{4},{1,2},{5,6},{3}]=>[4,1,2,5,6,3]
[2,2,6,3,1,3]=>[{5},{1,2},{4,6},{3}]=>[5,1,2,4,6,3]
[2,2,6,3,3,1]=>[{6},{1,2},{4,5},{3}]=>[6,1,2,4,5,3]
[2,3,1,2,3,6]=>[{3},{1,4},{2,5},{6}]=>[3,1,4,2,5,6]
[2,3,1,2,6,3]=>[{3},{1,4},{2,6},{5}]=>[3,1,4,2,6,5]
[2,3,1,3,2,6]=>[{3},{1,5},{2,4},{6}]=>[3,1,5,2,4,6]
[2,3,1,3,6,2]=>[{3},{1,6},{2,4},{5}]=>[3,1,6,2,4,5]
[2,3,1,6,2,3]=>[{3},{1,5},{2,6},{4}]=>[3,1,5,2,6,4]
[2,3,1,6,3,2]=>[{3},{1,6},{2,5},{4}]=>[3,1,6,2,5,4]
[2,3,2,1,3,6]=>[{4},{1,3},{2,5},{6}]=>[4,1,3,2,5,6]
[2,3,2,1,6,3]=>[{4},{1,3},{2,6},{5}]=>[4,1,3,2,6,5]
[2,3,2,3,1,6]=>[{5},{1,3},{2,4},{6}]=>[5,1,3,2,4,6]
[2,3,2,3,6,1]=>[{6},{1,3},{2,4},{5}]=>[6,1,3,2,4,5]
[2,3,2,6,1,3]=>[{5},{1,3},{2,6},{4}]=>[5,1,3,2,6,4]
[2,3,2,6,3,1]=>[{6},{1,3},{2,5},{4}]=>[6,1,3,2,5,4]
[2,3,3,1,2,6]=>[{4},{1,5},{2,3},{6}]=>[4,1,5,2,3,6]
[2,3,3,1,6,2]=>[{4},{1,6},{2,3},{5}]=>[4,1,6,2,3,5]
[2,3,3,2,1,6]=>[{5},{1,4},{2,3},{6}]=>[5,1,4,2,3,6]
[2,3,3,2,6,1]=>[{6},{1,4},{2,3},{5}]=>[6,1,4,2,3,5]
[2,3,3,6,1,2]=>[{5},{1,6},{2,3},{4}]=>[5,1,6,2,3,4]
[2,3,3,6,2,1]=>[{6},{1,5},{2,3},{4}]=>[6,1,5,2,3,4]
[2,3,6,1,2,3]=>[{4},{1,5},{2,6},{3}]=>[4,1,5,2,6,3]
[2,3,6,1,3,2]=>[{4},{1,6},{2,5},{3}]=>[4,1,6,2,5,3]
[2,3,6,2,1,3]=>[{5},{1,4},{2,6},{3}]=>[5,1,4,2,6,3]
[2,3,6,2,3,1]=>[{6},{1,4},{2,5},{3}]=>[6,1,4,2,5,3]
[2,3,6,3,1,2]=>[{5},{1,6},{2,4},{3}]=>[5,1,6,2,4,3]
[2,3,6,3,2,1]=>[{6},{1,5},{2,4},{3}]=>[6,1,5,2,4,3]
[2,6,1,2,3,3]=>[{3},{1,4},{5,6},{2}]=>[3,1,4,5,6,2]
[2,6,1,3,2,3]=>[{3},{1,5},{4,6},{2}]=>[3,1,5,4,6,2]
[2,6,1,3,3,2]=>[{3},{1,6},{4,5},{2}]=>[3,1,6,4,5,2]
[2,6,2,1,3,3]=>[{4},{1,3},{5,6},{2}]=>[4,1,3,5,6,2]
[2,6,2,3,1,3]=>[{5},{1,3},{4,6},{2}]=>[5,1,3,4,6,2]
[2,6,2,3,3,1]=>[{6},{1,3},{4,5},{2}]=>[6,1,3,4,5,2]
[2,6,3,1,2,3]=>[{4},{1,5},{3,6},{2}]=>[4,1,5,3,6,2]
[2,6,3,1,3,2]=>[{4},{1,6},{3,5},{2}]=>[4,1,6,3,5,2]
[2,6,3,2,1,3]=>[{5},{1,4},{3,6},{2}]=>[5,1,4,3,6,2]
[2,6,3,2,3,1]=>[{6},{1,4},{3,5},{2}]=>[6,1,4,3,5,2]
[2,6,3,3,1,2]=>[{5},{1,6},{3,4},{2}]=>[5,1,6,3,4,2]
[2,6,3,3,2,1]=>[{6},{1,5},{3,4},{2}]=>[6,1,5,3,4,2]
[3,1,2,2,3,6]=>[{2},{3,4},{1,5},{6}]=>[2,3,4,1,5,6]
[3,1,2,2,6,3]=>[{2},{3,4},{1,6},{5}]=>[2,3,4,1,6,5]
[3,1,2,3,2,6]=>[{2},{3,5},{1,4},{6}]=>[2,3,5,1,4,6]
[3,1,2,3,6,2]=>[{2},{3,6},{1,4},{5}]=>[2,3,6,1,4,5]
[3,1,2,6,2,3]=>[{2},{3,5},{1,6},{4}]=>[2,3,5,1,6,4]
[3,1,2,6,3,2]=>[{2},{3,6},{1,5},{4}]=>[2,3,6,1,5,4]
[3,1,3,2,2,6]=>[{2},{4,5},{1,3},{6}]=>[2,4,5,1,3,6]
[3,1,3,2,6,2]=>[{2},{4,6},{1,3},{5}]=>[2,4,6,1,3,5]
[3,1,3,6,2,2]=>[{2},{5,6},{1,3},{4}]=>[2,5,6,1,3,4]
[3,1,6,2,2,3]=>[{2},{4,5},{1,6},{3}]=>[2,4,5,1,6,3]
[3,1,6,2,3,2]=>[{2},{4,6},{1,5},{3}]=>[2,4,6,1,5,3]
[3,1,6,3,2,2]=>[{2},{5,6},{1,4},{3}]=>[2,5,6,1,4,3]
[3,2,1,2,3,6]=>[{3},{2,4},{1,5},{6}]=>[3,2,4,1,5,6]
[3,2,1,2,6,3]=>[{3},{2,4},{1,6},{5}]=>[3,2,4,1,6,5]
[3,2,1,3,2,6]=>[{3},{2,5},{1,4},{6}]=>[3,2,5,1,4,6]
[3,2,1,3,6,2]=>[{3},{2,6},{1,4},{5}]=>[3,2,6,1,4,5]
[3,2,1,6,2,3]=>[{3},{2,5},{1,6},{4}]=>[3,2,5,1,6,4]
[3,2,1,6,3,2]=>[{3},{2,6},{1,5},{4}]=>[3,2,6,1,5,4]
[3,2,2,1,3,6]=>[{4},{2,3},{1,5},{6}]=>[4,2,3,1,5,6]
[3,2,2,1,6,3]=>[{4},{2,3},{1,6},{5}]=>[4,2,3,1,6,5]
[3,2,2,3,1,6]=>[{5},{2,3},{1,4},{6}]=>[5,2,3,1,4,6]
[3,2,2,3,6,1]=>[{6},{2,3},{1,4},{5}]=>[6,2,3,1,4,5]
[3,2,2,6,1,3]=>[{5},{2,3},{1,6},{4}]=>[5,2,3,1,6,4]
[3,2,2,6,3,1]=>[{6},{2,3},{1,5},{4}]=>[6,2,3,1,5,4]
[3,2,3,1,2,6]=>[{4},{2,5},{1,3},{6}]=>[4,2,5,1,3,6]
[3,2,3,1,6,2]=>[{4},{2,6},{1,3},{5}]=>[4,2,6,1,3,5]
[3,2,3,2,1,6]=>[{5},{2,4},{1,3},{6}]=>[5,2,4,1,3,6]
[3,2,3,2,6,1]=>[{6},{2,4},{1,3},{5}]=>[6,2,4,1,3,5]
[3,2,3,6,1,2]=>[{5},{2,6},{1,3},{4}]=>[5,2,6,1,3,4]
[3,2,3,6,2,1]=>[{6},{2,5},{1,3},{4}]=>[6,2,5,1,3,4]
[3,2,6,1,2,3]=>[{4},{2,5},{1,6},{3}]=>[4,2,5,1,6,3]
[3,2,6,1,3,2]=>[{4},{2,6},{1,5},{3}]=>[4,2,6,1,5,3]
[3,2,6,2,1,3]=>[{5},{2,4},{1,6},{3}]=>[5,2,4,1,6,3]
[3,2,6,2,3,1]=>[{6},{2,4},{1,5},{3}]=>[6,2,4,1,5,3]
[3,2,6,3,1,2]=>[{5},{2,6},{1,4},{3}]=>[5,2,6,1,4,3]
[3,2,6,3,2,1]=>[{6},{2,5},{1,4},{3}]=>[6,2,5,1,4,3]
[3,3,1,2,2,6]=>[{3},{4,5},{1,2},{6}]=>[3,4,5,1,2,6]
[3,3,1,2,6,2]=>[{3},{4,6},{1,2},{5}]=>[3,4,6,1,2,5]
[3,3,1,6,2,2]=>[{3},{5,6},{1,2},{4}]=>[3,5,6,1,2,4]
[3,3,2,1,2,6]=>[{4},{3,5},{1,2},{6}]=>[4,3,5,1,2,6]
[3,3,2,1,6,2]=>[{4},{3,6},{1,2},{5}]=>[4,3,6,1,2,5]
[3,3,2,2,1,6]=>[{5},{3,4},{1,2},{6}]=>[5,3,4,1,2,6]
[3,3,2,2,6,1]=>[{6},{3,4},{1,2},{5}]=>[6,3,4,1,2,5]
[3,3,2,6,1,2]=>[{5},{3,6},{1,2},{4}]=>[5,3,6,1,2,4]
[3,3,2,6,2,1]=>[{6},{3,5},{1,2},{4}]=>[6,3,5,1,2,4]
[3,3,6,1,2,2]=>[{4},{5,6},{1,2},{3}]=>[4,5,6,1,2,3]
[3,3,6,2,1,2]=>[{5},{4,6},{1,2},{3}]=>[5,4,6,1,2,3]
[3,3,6,2,2,1]=>[{6},{4,5},{1,2},{3}]=>[6,4,5,1,2,3]
[3,6,1,2,2,3]=>[{3},{4,5},{1,6},{2}]=>[3,4,5,1,6,2]
[3,6,1,2,3,2]=>[{3},{4,6},{1,5},{2}]=>[3,4,6,1,5,2]
[3,6,1,3,2,2]=>[{3},{5,6},{1,4},{2}]=>[3,5,6,1,4,2]
[3,6,2,1,2,3]=>[{4},{3,5},{1,6},{2}]=>[4,3,5,1,6,2]
[3,6,2,1,3,2]=>[{4},{3,6},{1,5},{2}]=>[4,3,6,1,5,2]
[3,6,2,2,1,3]=>[{5},{3,4},{1,6},{2}]=>[5,3,4,1,6,2]
[3,6,2,2,3,1]=>[{6},{3,4},{1,5},{2}]=>[6,3,4,1,5,2]
[3,6,2,3,1,2]=>[{5},{3,6},{1,4},{2}]=>[5,3,6,1,4,2]
[3,6,2,3,2,1]=>[{6},{3,5},{1,4},{2}]=>[6,3,5,1,4,2]
[3,6,3,1,2,2]=>[{4},{5,6},{1,3},{2}]=>[4,5,6,1,3,2]
[3,6,3,2,1,2]=>[{5},{4,6},{1,3},{2}]=>[5,4,6,1,3,2]
[3,6,3,2,2,1]=>[{6},{4,5},{1,3},{2}]=>[6,4,5,1,3,2]
[6,1,2,2,3,3]=>[{2},{3,4},{5,6},{1}]=>[2,3,4,5,6,1]
[6,1,2,3,2,3]=>[{2},{3,5},{4,6},{1}]=>[2,3,5,4,6,1]
[6,1,2,3,3,2]=>[{2},{3,6},{4,5},{1}]=>[2,3,6,4,5,1]
[6,1,3,2,2,3]=>[{2},{4,5},{3,6},{1}]=>[2,4,5,3,6,1]
[6,1,3,2,3,2]=>[{2},{4,6},{3,5},{1}]=>[2,4,6,3,5,1]
[6,1,3,3,2,2]=>[{2},{5,6},{3,4},{1}]=>[2,5,6,3,4,1]
[6,2,1,2,3,3]=>[{3},{2,4},{5,6},{1}]=>[3,2,4,5,6,1]
[6,2,1,3,2,3]=>[{3},{2,5},{4,6},{1}]=>[3,2,5,4,6,1]
[6,2,1,3,3,2]=>[{3},{2,6},{4,5},{1}]=>[3,2,6,4,5,1]
[6,2,2,1,3,3]=>[{4},{2,3},{5,6},{1}]=>[4,2,3,5,6,1]
[6,2,2,3,1,3]=>[{5},{2,3},{4,6},{1}]=>[5,2,3,4,6,1]
[6,2,2,3,3,1]=>[{6},{2,3},{4,5},{1}]=>[6,2,3,4,5,1]
[6,2,3,1,2,3]=>[{4},{2,5},{3,6},{1}]=>[4,2,5,3,6,1]
[6,2,3,1,3,2]=>[{4},{2,6},{3,5},{1}]=>[4,2,6,3,5,1]
[6,2,3,2,1,3]=>[{5},{2,4},{3,6},{1}]=>[5,2,4,3,6,1]
[6,2,3,2,3,1]=>[{6},{2,4},{3,5},{1}]=>[6,2,4,3,5,1]
[6,2,3,3,1,2]=>[{5},{2,6},{3,4},{1}]=>[5,2,6,3,4,1]
[6,2,3,3,2,1]=>[{6},{2,5},{3,4},{1}]=>[6,2,5,3,4,1]
[6,3,1,2,2,3]=>[{3},{4,5},{2,6},{1}]=>[3,4,5,2,6,1]
[6,3,1,2,3,2]=>[{3},{4,6},{2,5},{1}]=>[3,4,6,2,5,1]
[6,3,1,3,2,2]=>[{3},{5,6},{2,4},{1}]=>[3,5,6,2,4,1]
[6,3,2,1,2,3]=>[{4},{3,5},{2,6},{1}]=>[4,3,5,2,6,1]
[6,3,2,1,3,2]=>[{4},{3,6},{2,5},{1}]=>[4,3,6,2,5,1]
[6,3,2,2,1,3]=>[{5},{3,4},{2,6},{1}]=>[5,3,4,2,6,1]
[6,3,2,2,3,1]=>[{6},{3,4},{2,5},{1}]=>[6,3,4,2,5,1]
[6,3,2,3,1,2]=>[{5},{3,6},{2,4},{1}]=>[5,3,6,2,4,1]
[6,3,2,3,2,1]=>[{6},{3,5},{2,4},{1}]=>[6,3,5,2,4,1]
[6,3,3,1,2,2]=>[{4},{5,6},{2,3},{1}]=>[4,5,6,2,3,1]
[6,3,3,2,1,2]=>[{5},{4,6},{2,3},{1}]=>[5,4,6,2,3,1]
[6,3,3,2,2,1]=>[{6},{4,5},{2,3},{1}]=>[6,4,5,2,3,1]
[1,2,2,3,4,4]=>[{1},{2,3},{4},{5,6}]=>[1,2,3,4,5,6]
[1,2,2,4,3,4]=>[{1},{2,3},{5},{4,6}]=>[1,2,3,5,4,6]
[1,2,2,4,4,3]=>[{1},{2,3},{6},{4,5}]=>[1,2,3,6,4,5]
[1,2,3,2,4,4]=>[{1},{2,4},{3},{5,6}]=>[1,2,4,3,5,6]
[1,2,3,4,2,4]=>[{1},{2,5},{3},{4,6}]=>[1,2,5,3,4,6]
[1,2,3,4,4,2]=>[{1},{2,6},{3},{4,5}]=>[1,2,6,3,4,5]
[1,2,4,2,3,4]=>[{1},{2,4},{5},{3,6}]=>[1,2,4,5,3,6]
[1,2,4,2,4,3]=>[{1},{2,4},{6},{3,5}]=>[1,2,4,6,3,5]
[1,2,4,3,2,4]=>[{1},{2,5},{4},{3,6}]=>[1,2,5,4,3,6]
[1,2,4,3,4,2]=>[{1},{2,6},{4},{3,5}]=>[1,2,6,4,3,5]
[1,2,4,4,2,3]=>[{1},{2,5},{6},{3,4}]=>[1,2,5,6,3,4]
[1,2,4,4,3,2]=>[{1},{2,6},{5},{3,4}]=>[1,2,6,5,3,4]
[1,3,2,2,4,4]=>[{1},{3,4},{2},{5,6}]=>[1,3,4,2,5,6]
[1,3,2,4,2,4]=>[{1},{3,5},{2},{4,6}]=>[1,3,5,2,4,6]
[1,3,2,4,4,2]=>[{1},{3,6},{2},{4,5}]=>[1,3,6,2,4,5]
[1,3,4,2,2,4]=>[{1},{4,5},{2},{3,6}]=>[1,4,5,2,3,6]
[1,3,4,2,4,2]=>[{1},{4,6},{2},{3,5}]=>[1,4,6,2,3,5]
[1,3,4,4,2,2]=>[{1},{5,6},{2},{3,4}]=>[1,5,6,2,3,4]
[1,4,2,2,3,4]=>[{1},{3,4},{5},{2,6}]=>[1,3,4,5,2,6]
[1,4,2,2,4,3]=>[{1},{3,4},{6},{2,5}]=>[1,3,4,6,2,5]
[1,4,2,3,2,4]=>[{1},{3,5},{4},{2,6}]=>[1,3,5,4,2,6]
[1,4,2,3,4,2]=>[{1},{3,6},{4},{2,5}]=>[1,3,6,4,2,5]
[1,4,2,4,2,3]=>[{1},{3,5},{6},{2,4}]=>[1,3,5,6,2,4]
[1,4,2,4,3,2]=>[{1},{3,6},{5},{2,4}]=>[1,3,6,5,2,4]
[1,4,3,2,2,4]=>[{1},{4,5},{3},{2,6}]=>[1,4,5,3,2,6]
[1,4,3,2,4,2]=>[{1},{4,6},{3},{2,5}]=>[1,4,6,3,2,5]
[1,4,3,4,2,2]=>[{1},{5,6},{3},{2,4}]=>[1,5,6,3,2,4]
[1,4,4,2,2,3]=>[{1},{4,5},{6},{2,3}]=>[1,4,5,6,2,3]
[1,4,4,2,3,2]=>[{1},{4,6},{5},{2,3}]=>[1,4,6,5,2,3]
[1,4,4,3,2,2]=>[{1},{5,6},{4},{2,3}]=>[1,5,6,4,2,3]
[2,1,2,3,4,4]=>[{2},{1,3},{4},{5,6}]=>[2,1,3,4,5,6]
[2,1,2,4,3,4]=>[{2},{1,3},{5},{4,6}]=>[2,1,3,5,4,6]
[2,1,2,4,4,3]=>[{2},{1,3},{6},{4,5}]=>[2,1,3,6,4,5]
[2,1,3,2,4,4]=>[{2},{1,4},{3},{5,6}]=>[2,1,4,3,5,6]
[2,1,3,4,2,4]=>[{2},{1,5},{3},{4,6}]=>[2,1,5,3,4,6]
[2,1,3,4,4,2]=>[{2},{1,6},{3},{4,5}]=>[2,1,6,3,4,5]
[2,1,4,2,3,4]=>[{2},{1,4},{5},{3,6}]=>[2,1,4,5,3,6]
[2,1,4,2,4,3]=>[{2},{1,4},{6},{3,5}]=>[2,1,4,6,3,5]
[2,1,4,3,2,4]=>[{2},{1,5},{4},{3,6}]=>[2,1,5,4,3,6]
[2,1,4,3,4,2]=>[{2},{1,6},{4},{3,5}]=>[2,1,6,4,3,5]
[2,1,4,4,2,3]=>[{2},{1,5},{6},{3,4}]=>[2,1,5,6,3,4]
[2,1,4,4,3,2]=>[{2},{1,6},{5},{3,4}]=>[2,1,6,5,3,4]
[2,2,1,3,4,4]=>[{3},{1,2},{4},{5,6}]=>[3,1,2,4,5,6]
[2,2,1,4,3,4]=>[{3},{1,2},{5},{4,6}]=>[3,1,2,5,4,6]
[2,2,1,4,4,3]=>[{3},{1,2},{6},{4,5}]=>[3,1,2,6,4,5]
[2,2,3,1,4,4]=>[{4},{1,2},{3},{5,6}]=>[4,1,2,3,5,6]
[2,2,3,4,1,4]=>[{5},{1,2},{3},{4,6}]=>[5,1,2,3,4,6]
[2,2,3,4,4,1]=>[{6},{1,2},{3},{4,5}]=>[6,1,2,3,4,5]
[2,2,4,1,3,4]=>[{4},{1,2},{5},{3,6}]=>[4,1,2,5,3,6]
[2,2,4,1,4,3]=>[{4},{1,2},{6},{3,5}]=>[4,1,2,6,3,5]
[2,2,4,3,1,4]=>[{5},{1,2},{4},{3,6}]=>[5,1,2,4,3,6]
[2,2,4,3,4,1]=>[{6},{1,2},{4},{3,5}]=>[6,1,2,4,3,5]
[2,2,4,4,1,3]=>[{5},{1,2},{6},{3,4}]=>[5,1,2,6,3,4]
[2,2,4,4,3,1]=>[{6},{1,2},{5},{3,4}]=>[6,1,2,5,3,4]
[2,3,1,2,4,4]=>[{3},{1,4},{2},{5,6}]=>[3,1,4,2,5,6]
[2,3,1,4,2,4]=>[{3},{1,5},{2},{4,6}]=>[3,1,5,2,4,6]
[2,3,1,4,4,2]=>[{3},{1,6},{2},{4,5}]=>[3,1,6,2,4,5]
[2,3,2,1,4,4]=>[{4},{1,3},{2},{5,6}]=>[4,1,3,2,5,6]
[2,3,2,4,1,4]=>[{5},{1,3},{2},{4,6}]=>[5,1,3,2,4,6]
[2,3,2,4,4,1]=>[{6},{1,3},{2},{4,5}]=>[6,1,3,2,4,5]
[2,3,4,1,2,4]=>[{4},{1,5},{2},{3,6}]=>[4,1,5,2,3,6]
[2,3,4,1,4,2]=>[{4},{1,6},{2},{3,5}]=>[4,1,6,2,3,5]
[2,3,4,2,1,4]=>[{5},{1,4},{2},{3,6}]=>[5,1,4,2,3,6]
[2,3,4,2,4,1]=>[{6},{1,4},{2},{3,5}]=>[6,1,4,2,3,5]
[2,3,4,4,1,2]=>[{5},{1,6},{2},{3,4}]=>[5,1,6,2,3,4]
[2,3,4,4,2,1]=>[{6},{1,5},{2},{3,4}]=>[6,1,5,2,3,4]
[2,4,1,2,3,4]=>[{3},{1,4},{5},{2,6}]=>[3,1,4,5,2,6]
[2,4,1,2,4,3]=>[{3},{1,4},{6},{2,5}]=>[3,1,4,6,2,5]
[2,4,1,3,2,4]=>[{3},{1,5},{4},{2,6}]=>[3,1,5,4,2,6]
[2,4,1,3,4,2]=>[{3},{1,6},{4},{2,5}]=>[3,1,6,4,2,5]
[2,4,1,4,2,3]=>[{3},{1,5},{6},{2,4}]=>[3,1,5,6,2,4]
[2,4,1,4,3,2]=>[{3},{1,6},{5},{2,4}]=>[3,1,6,5,2,4]
[2,4,2,1,3,4]=>[{4},{1,3},{5},{2,6}]=>[4,1,3,5,2,6]
[2,4,2,1,4,3]=>[{4},{1,3},{6},{2,5}]=>[4,1,3,6,2,5]
[2,4,2,3,1,4]=>[{5},{1,3},{4},{2,6}]=>[5,1,3,4,2,6]
[2,4,2,3,4,1]=>[{6},{1,3},{4},{2,5}]=>[6,1,3,4,2,5]
[2,4,2,4,1,3]=>[{5},{1,3},{6},{2,4}]=>[5,1,3,6,2,4]
[2,4,2,4,3,1]=>[{6},{1,3},{5},{2,4}]=>[6,1,3,5,2,4]
[2,4,3,1,2,4]=>[{4},{1,5},{3},{2,6}]=>[4,1,5,3,2,6]
[2,4,3,1,4,2]=>[{4},{1,6},{3},{2,5}]=>[4,1,6,3,2,5]
[2,4,3,2,1,4]=>[{5},{1,4},{3},{2,6}]=>[5,1,4,3,2,6]
[2,4,3,2,4,1]=>[{6},{1,4},{3},{2,5}]=>[6,1,4,3,2,5]
[2,4,3,4,1,2]=>[{5},{1,6},{3},{2,4}]=>[5,1,6,3,2,4]
[2,4,3,4,2,1]=>[{6},{1,5},{3},{2,4}]=>[6,1,5,3,2,4]
[2,4,4,1,2,3]=>[{4},{1,5},{6},{2,3}]=>[4,1,5,6,2,3]
[2,4,4,1,3,2]=>[{4},{1,6},{5},{2,3}]=>[4,1,6,5,2,3]
[2,4,4,2,1,3]=>[{5},{1,4},{6},{2,3}]=>[5,1,4,6,2,3]
[2,4,4,2,3,1]=>[{6},{1,4},{5},{2,3}]=>[6,1,4,5,2,3]
[2,4,4,3,1,2]=>[{5},{1,6},{4},{2,3}]=>[5,1,6,4,2,3]
[2,4,4,3,2,1]=>[{6},{1,5},{4},{2,3}]=>[6,1,5,4,2,3]
[3,1,2,2,4,4]=>[{2},{3,4},{1},{5,6}]=>[2,3,4,1,5,6]
[3,1,2,4,2,4]=>[{2},{3,5},{1},{4,6}]=>[2,3,5,1,4,6]
[3,1,2,4,4,2]=>[{2},{3,6},{1},{4,5}]=>[2,3,6,1,4,5]
[3,1,4,2,2,4]=>[{2},{4,5},{1},{3,6}]=>[2,4,5,1,3,6]
[3,1,4,2,4,2]=>[{2},{4,6},{1},{3,5}]=>[2,4,6,1,3,5]
[3,1,4,4,2,2]=>[{2},{5,6},{1},{3,4}]=>[2,5,6,1,3,4]
[3,2,1,2,4,4]=>[{3},{2,4},{1},{5,6}]=>[3,2,4,1,5,6]
[3,2,1,4,2,4]=>[{3},{2,5},{1},{4,6}]=>[3,2,5,1,4,6]
[3,2,1,4,4,2]=>[{3},{2,6},{1},{4,5}]=>[3,2,6,1,4,5]
[3,2,2,1,4,4]=>[{4},{2,3},{1},{5,6}]=>[4,2,3,1,5,6]
[3,2,2,4,1,4]=>[{5},{2,3},{1},{4,6}]=>[5,2,3,1,4,6]
[3,2,2,4,4,1]=>[{6},{2,3},{1},{4,5}]=>[6,2,3,1,4,5]
[3,2,4,1,2,4]=>[{4},{2,5},{1},{3,6}]=>[4,2,5,1,3,6]
[3,2,4,1,4,2]=>[{4},{2,6},{1},{3,5}]=>[4,2,6,1,3,5]
[3,2,4,2,1,4]=>[{5},{2,4},{1},{3,6}]=>[5,2,4,1,3,6]
[3,2,4,2,4,1]=>[{6},{2,4},{1},{3,5}]=>[6,2,4,1,3,5]
[3,2,4,4,1,2]=>[{5},{2,6},{1},{3,4}]=>[5,2,6,1,3,4]
[3,2,4,4,2,1]=>[{6},{2,5},{1},{3,4}]=>[6,2,5,1,3,4]
[3,4,1,2,2,4]=>[{3},{4,5},{1},{2,6}]=>[3,4,5,1,2,6]
[3,4,1,2,4,2]=>[{3},{4,6},{1},{2,5}]=>[3,4,6,1,2,5]
[3,4,1,4,2,2]=>[{3},{5,6},{1},{2,4}]=>[3,5,6,1,2,4]
[3,4,2,1,2,4]=>[{4},{3,5},{1},{2,6}]=>[4,3,5,1,2,6]
[3,4,2,1,4,2]=>[{4},{3,6},{1},{2,5}]=>[4,3,6,1,2,5]
[3,4,2,2,1,4]=>[{5},{3,4},{1},{2,6}]=>[5,3,4,1,2,6]
[3,4,2,2,4,1]=>[{6},{3,4},{1},{2,5}]=>[6,3,4,1,2,5]
[3,4,2,4,1,2]=>[{5},{3,6},{1},{2,4}]=>[5,3,6,1,2,4]
[3,4,2,4,2,1]=>[{6},{3,5},{1},{2,4}]=>[6,3,5,1,2,4]
[3,4,4,1,2,2]=>[{4},{5,6},{1},{2,3}]=>[4,5,6,1,2,3]
[3,4,4,2,1,2]=>[{5},{4,6},{1},{2,3}]=>[5,4,6,1,2,3]
[3,4,4,2,2,1]=>[{6},{4,5},{1},{2,3}]=>[6,4,5,1,2,3]
[4,1,2,2,3,4]=>[{2},{3,4},{5},{1,6}]=>[2,3,4,5,1,6]
[4,1,2,2,4,3]=>[{2},{3,4},{6},{1,5}]=>[2,3,4,6,1,5]
[4,1,2,3,2,4]=>[{2},{3,5},{4},{1,6}]=>[2,3,5,4,1,6]
[4,1,2,3,4,2]=>[{2},{3,6},{4},{1,5}]=>[2,3,6,4,1,5]
[4,1,2,4,2,3]=>[{2},{3,5},{6},{1,4}]=>[2,3,5,6,1,4]
[4,1,2,4,3,2]=>[{2},{3,6},{5},{1,4}]=>[2,3,6,5,1,4]
[4,1,3,2,2,4]=>[{2},{4,5},{3},{1,6}]=>[2,4,5,3,1,6]
[4,1,3,2,4,2]=>[{2},{4,6},{3},{1,5}]=>[2,4,6,3,1,5]
[4,1,3,4,2,2]=>[{2},{5,6},{3},{1,4}]=>[2,5,6,3,1,4]
[4,1,4,2,2,3]=>[{2},{4,5},{6},{1,3}]=>[2,4,5,6,1,3]
[4,1,4,2,3,2]=>[{2},{4,6},{5},{1,3}]=>[2,4,6,5,1,3]
[4,1,4,3,2,2]=>[{2},{5,6},{4},{1,3}]=>[2,5,6,4,1,3]
[4,2,1,2,3,4]=>[{3},{2,4},{5},{1,6}]=>[3,2,4,5,1,6]
[4,2,1,2,4,3]=>[{3},{2,4},{6},{1,5}]=>[3,2,4,6,1,5]
[4,2,1,3,2,4]=>[{3},{2,5},{4},{1,6}]=>[3,2,5,4,1,6]
[4,2,1,3,4,2]=>[{3},{2,6},{4},{1,5}]=>[3,2,6,4,1,5]
[4,2,1,4,2,3]=>[{3},{2,5},{6},{1,4}]=>[3,2,5,6,1,4]
[4,2,1,4,3,2]=>[{3},{2,6},{5},{1,4}]=>[3,2,6,5,1,4]
[4,2,2,1,3,4]=>[{4},{2,3},{5},{1,6}]=>[4,2,3,5,1,6]
[4,2,2,1,4,3]=>[{4},{2,3},{6},{1,5}]=>[4,2,3,6,1,5]
[4,2,2,3,1,4]=>[{5},{2,3},{4},{1,6}]=>[5,2,3,4,1,6]
[4,2,2,3,4,1]=>[{6},{2,3},{4},{1,5}]=>[6,2,3,4,1,5]
[4,2,2,4,1,3]=>[{5},{2,3},{6},{1,4}]=>[5,2,3,6,1,4]
[4,2,2,4,3,1]=>[{6},{2,3},{5},{1,4}]=>[6,2,3,5,1,4]
[4,2,3,1,2,4]=>[{4},{2,5},{3},{1,6}]=>[4,2,5,3,1,6]
[4,2,3,1,4,2]=>[{4},{2,6},{3},{1,5}]=>[4,2,6,3,1,5]
[4,2,3,2,1,4]=>[{5},{2,4},{3},{1,6}]=>[5,2,4,3,1,6]
[4,2,3,2,4,1]=>[{6},{2,4},{3},{1,5}]=>[6,2,4,3,1,5]
[4,2,3,4,1,2]=>[{5},{2,6},{3},{1,4}]=>[5,2,6,3,1,4]
[4,2,3,4,2,1]=>[{6},{2,5},{3},{1,4}]=>[6,2,5,3,1,4]
[4,2,4,1,2,3]=>[{4},{2,5},{6},{1,3}]=>[4,2,5,6,1,3]
[4,2,4,1,3,2]=>[{4},{2,6},{5},{1,3}]=>[4,2,6,5,1,3]
[4,2,4,2,1,3]=>[{5},{2,4},{6},{1,3}]=>[5,2,4,6,1,3]
[4,2,4,2,3,1]=>[{6},{2,4},{5},{1,3}]=>[6,2,4,5,1,3]
[4,2,4,3,1,2]=>[{5},{2,6},{4},{1,3}]=>[5,2,6,4,1,3]
[4,2,4,3,2,1]=>[{6},{2,5},{4},{1,3}]=>[6,2,5,4,1,3]
[4,3,1,2,2,4]=>[{3},{4,5},{2},{1,6}]=>[3,4,5,2,1,6]
[4,3,1,2,4,2]=>[{3},{4,6},{2},{1,5}]=>[3,4,6,2,1,5]
[4,3,1,4,2,2]=>[{3},{5,6},{2},{1,4}]=>[3,5,6,2,1,4]
[4,3,2,1,2,4]=>[{4},{3,5},{2},{1,6}]=>[4,3,5,2,1,6]
[4,3,2,1,4,2]=>[{4},{3,6},{2},{1,5}]=>[4,3,6,2,1,5]
[4,3,2,2,1,4]=>[{5},{3,4},{2},{1,6}]=>[5,3,4,2,1,6]
[4,3,2,2,4,1]=>[{6},{3,4},{2},{1,5}]=>[6,3,4,2,1,5]
[4,3,2,4,1,2]=>[{5},{3,6},{2},{1,4}]=>[5,3,6,2,1,4]
[4,3,2,4,2,1]=>[{6},{3,5},{2},{1,4}]=>[6,3,5,2,1,4]
[4,3,4,1,2,2]=>[{4},{5,6},{2},{1,3}]=>[4,5,6,2,1,3]
[4,3,4,2,1,2]=>[{5},{4,6},{2},{1,3}]=>[5,4,6,2,1,3]
[4,3,4,2,2,1]=>[{6},{4,5},{2},{1,3}]=>[6,4,5,2,1,3]
[4,4,1,2,2,3]=>[{3},{4,5},{6},{1,2}]=>[3,4,5,6,1,2]
[4,4,1,2,3,2]=>[{3},{4,6},{5},{1,2}]=>[3,4,6,5,1,2]
[4,4,1,3,2,2]=>[{3},{5,6},{4},{1,2}]=>[3,5,6,4,1,2]
[4,4,2,1,2,3]=>[{4},{3,5},{6},{1,2}]=>[4,3,5,6,1,2]
[4,4,2,1,3,2]=>[{4},{3,6},{5},{1,2}]=>[4,3,6,5,1,2]
[4,4,2,2,1,3]=>[{5},{3,4},{6},{1,2}]=>[5,3,4,6,1,2]
[4,4,2,2,3,1]=>[{6},{3,4},{5},{1,2}]=>[6,3,4,5,1,2]
[4,4,2,3,1,2]=>[{5},{3,6},{4},{1,2}]=>[5,3,6,4,1,2]
[4,4,2,3,2,1]=>[{6},{3,5},{4},{1,2}]=>[6,3,5,4,1,2]
[4,4,3,1,2,2]=>[{4},{5,6},{3},{1,2}]=>[4,5,6,3,1,2]
[4,4,3,2,1,2]=>[{5},{4,6},{3},{1,2}]=>[5,4,6,3,1,2]
[4,4,3,2,2,1]=>[{6},{4,5},{3},{1,2}]=>[6,4,5,3,1,2]
[1,2,2,3,4,5]=>[{1},{2,3},{4},{5},{6}]=>[1,2,3,4,5,6]
[1,2,2,3,5,4]=>[{1},{2,3},{4},{6},{5}]=>[1,2,3,4,6,5]
[1,2,2,4,3,5]=>[{1},{2,3},{5},{4},{6}]=>[1,2,3,5,4,6]
[1,2,2,4,5,3]=>[{1},{2,3},{6},{4},{5}]=>[1,2,3,6,4,5]
[1,2,2,5,3,4]=>[{1},{2,3},{5},{6},{4}]=>[1,2,3,5,6,4]
[1,2,2,5,4,3]=>[{1},{2,3},{6},{5},{4}]=>[1,2,3,6,5,4]
[1,2,3,2,4,5]=>[{1},{2,4},{3},{5},{6}]=>[1,2,4,3,5,6]
[1,2,3,2,5,4]=>[{1},{2,4},{3},{6},{5}]=>[1,2,4,3,6,5]
[1,2,3,4,2,5]=>[{1},{2,5},{3},{4},{6}]=>[1,2,5,3,4,6]
[1,2,3,4,5,2]=>[{1},{2,6},{3},{4},{5}]=>[1,2,6,3,4,5]
[1,2,3,5,2,4]=>[{1},{2,5},{3},{6},{4}]=>[1,2,5,3,6,4]
[1,2,3,5,4,2]=>[{1},{2,6},{3},{5},{4}]=>[1,2,6,3,5,4]
[1,2,4,2,3,5]=>[{1},{2,4},{5},{3},{6}]=>[1,2,4,5,3,6]
[1,2,4,2,5,3]=>[{1},{2,4},{6},{3},{5}]=>[1,2,4,6,3,5]
[1,2,4,3,2,5]=>[{1},{2,5},{4},{3},{6}]=>[1,2,5,4,3,6]
[1,2,4,3,5,2]=>[{1},{2,6},{4},{3},{5}]=>[1,2,6,4,3,5]
[1,2,4,5,2,3]=>[{1},{2,5},{6},{3},{4}]=>[1,2,5,6,3,4]
[1,2,4,5,3,2]=>[{1},{2,6},{5},{3},{4}]=>[1,2,6,5,3,4]
[1,2,5,2,3,4]=>[{1},{2,4},{5},{6},{3}]=>[1,2,4,5,6,3]
[1,2,5,2,4,3]=>[{1},{2,4},{6},{5},{3}]=>[1,2,4,6,5,3]
[1,2,5,3,2,4]=>[{1},{2,5},{4},{6},{3}]=>[1,2,5,4,6,3]
[1,2,5,3,4,2]=>[{1},{2,6},{4},{5},{3}]=>[1,2,6,4,5,3]
[1,2,5,4,2,3]=>[{1},{2,5},{6},{4},{3}]=>[1,2,5,6,4,3]
[1,2,5,4,3,2]=>[{1},{2,6},{5},{4},{3}]=>[1,2,6,5,4,3]
[1,3,2,2,4,5]=>[{1},{3,4},{2},{5},{6}]=>[1,3,4,2,5,6]
[1,3,2,2,5,4]=>[{1},{3,4},{2},{6},{5}]=>[1,3,4,2,6,5]
[1,3,2,4,2,5]=>[{1},{3,5},{2},{4},{6}]=>[1,3,5,2,4,6]
[1,3,2,4,5,2]=>[{1},{3,6},{2},{4},{5}]=>[1,3,6,2,4,5]
[1,3,2,5,2,4]=>[{1},{3,5},{2},{6},{4}]=>[1,3,5,2,6,4]
[1,3,2,5,4,2]=>[{1},{3,6},{2},{5},{4}]=>[1,3,6,2,5,4]
[1,3,4,2,2,5]=>[{1},{4,5},{2},{3},{6}]=>[1,4,5,2,3,6]
[1,3,4,2,5,2]=>[{1},{4,6},{2},{3},{5}]=>[1,4,6,2,3,5]
[1,3,4,5,2,2]=>[{1},{5,6},{2},{3},{4}]=>[1,5,6,2,3,4]
[1,3,5,2,2,4]=>[{1},{4,5},{2},{6},{3}]=>[1,4,5,2,6,3]
[1,3,5,2,4,2]=>[{1},{4,6},{2},{5},{3}]=>[1,4,6,2,5,3]
[1,3,5,4,2,2]=>[{1},{5,6},{2},{4},{3}]=>[1,5,6,2,4,3]
[1,4,2,2,3,5]=>[{1},{3,4},{5},{2},{6}]=>[1,3,4,5,2,6]
[1,4,2,2,5,3]=>[{1},{3,4},{6},{2},{5}]=>[1,3,4,6,2,5]
[1,4,2,3,2,5]=>[{1},{3,5},{4},{2},{6}]=>[1,3,5,4,2,6]
[1,4,2,3,5,2]=>[{1},{3,6},{4},{2},{5}]=>[1,3,6,4,2,5]
[1,4,2,5,2,3]=>[{1},{3,5},{6},{2},{4}]=>[1,3,5,6,2,4]
[1,4,2,5,3,2]=>[{1},{3,6},{5},{2},{4}]=>[1,3,6,5,2,4]
[1,4,3,2,2,5]=>[{1},{4,5},{3},{2},{6}]=>[1,4,5,3,2,6]
[1,4,3,2,5,2]=>[{1},{4,6},{3},{2},{5}]=>[1,4,6,3,2,5]
[1,4,3,5,2,2]=>[{1},{5,6},{3},{2},{4}]=>[1,5,6,3,2,4]
[1,4,5,2,2,3]=>[{1},{4,5},{6},{2},{3}]=>[1,4,5,6,2,3]
[1,4,5,2,3,2]=>[{1},{4,6},{5},{2},{3}]=>[1,4,6,5,2,3]
[1,4,5,3,2,2]=>[{1},{5,6},{4},{2},{3}]=>[1,5,6,4,2,3]
[1,5,2,2,3,4]=>[{1},{3,4},{5},{6},{2}]=>[1,3,4,5,6,2]
[1,5,2,2,4,3]=>[{1},{3,4},{6},{5},{2}]=>[1,3,4,6,5,2]
[1,5,2,3,2,4]=>[{1},{3,5},{4},{6},{2}]=>[1,3,5,4,6,2]
[1,5,2,3,4,2]=>[{1},{3,6},{4},{5},{2}]=>[1,3,6,4,5,2]
[1,5,2,4,2,3]=>[{1},{3,5},{6},{4},{2}]=>[1,3,5,6,4,2]
[1,5,2,4,3,2]=>[{1},{3,6},{5},{4},{2}]=>[1,3,6,5,4,2]
[1,5,3,2,2,4]=>[{1},{4,5},{3},{6},{2}]=>[1,4,5,3,6,2]
[1,5,3,2,4,2]=>[{1},{4,6},{3},{5},{2}]=>[1,4,6,3,5,2]
[1,5,3,4,2,2]=>[{1},{5,6},{3},{4},{2}]=>[1,5,6,3,4,2]
[1,5,4,2,2,3]=>[{1},{4,5},{6},{3},{2}]=>[1,4,5,6,3,2]
[1,5,4,2,3,2]=>[{1},{4,6},{5},{3},{2}]=>[1,4,6,5,3,2]
[1,5,4,3,2,2]=>[{1},{5,6},{4},{3},{2}]=>[1,5,6,4,3,2]
[2,1,2,3,4,5]=>[{2},{1,3},{4},{5},{6}]=>[2,1,3,4,5,6]
[2,1,2,3,5,4]=>[{2},{1,3},{4},{6},{5}]=>[2,1,3,4,6,5]
[2,1,2,4,3,5]=>[{2},{1,3},{5},{4},{6}]=>[2,1,3,5,4,6]
[2,1,2,4,5,3]=>[{2},{1,3},{6},{4},{5}]=>[2,1,3,6,4,5]
[2,1,2,5,3,4]=>[{2},{1,3},{5},{6},{4}]=>[2,1,3,5,6,4]
[2,1,2,5,4,3]=>[{2},{1,3},{6},{5},{4}]=>[2,1,3,6,5,4]
[2,1,3,2,4,5]=>[{2},{1,4},{3},{5},{6}]=>[2,1,4,3,5,6]
[2,1,3,2,5,4]=>[{2},{1,4},{3},{6},{5}]=>[2,1,4,3,6,5]
[2,1,3,4,2,5]=>[{2},{1,5},{3},{4},{6}]=>[2,1,5,3,4,6]
[2,1,3,4,5,2]=>[{2},{1,6},{3},{4},{5}]=>[2,1,6,3,4,5]
[2,1,3,5,2,4]=>[{2},{1,5},{3},{6},{4}]=>[2,1,5,3,6,4]
[2,1,3,5,4,2]=>[{2},{1,6},{3},{5},{4}]=>[2,1,6,3,5,4]
[2,1,4,2,3,5]=>[{2},{1,4},{5},{3},{6}]=>[2,1,4,5,3,6]
[2,1,4,2,5,3]=>[{2},{1,4},{6},{3},{5}]=>[2,1,4,6,3,5]
[2,1,4,3,2,5]=>[{2},{1,5},{4},{3},{6}]=>[2,1,5,4,3,6]
[2,1,4,3,5,2]=>[{2},{1,6},{4},{3},{5}]=>[2,1,6,4,3,5]
[2,1,4,5,2,3]=>[{2},{1,5},{6},{3},{4}]=>[2,1,5,6,3,4]
[2,1,4,5,3,2]=>[{2},{1,6},{5},{3},{4}]=>[2,1,6,5,3,4]
[2,1,5,2,3,4]=>[{2},{1,4},{5},{6},{3}]=>[2,1,4,5,6,3]
[2,1,5,2,4,3]=>[{2},{1,4},{6},{5},{3}]=>[2,1,4,6,5,3]
[2,1,5,3,2,4]=>[{2},{1,5},{4},{6},{3}]=>[2,1,5,4,6,3]
[2,1,5,3,4,2]=>[{2},{1,6},{4},{5},{3}]=>[2,1,6,4,5,3]
[2,1,5,4,2,3]=>[{2},{1,5},{6},{4},{3}]=>[2,1,5,6,4,3]
[2,1,5,4,3,2]=>[{2},{1,6},{5},{4},{3}]=>[2,1,6,5,4,3]
[2,2,1,3,4,5]=>[{3},{1,2},{4},{5},{6}]=>[3,1,2,4,5,6]
[2,2,1,3,5,4]=>[{3},{1,2},{4},{6},{5}]=>[3,1,2,4,6,5]
[2,2,1,4,3,5]=>[{3},{1,2},{5},{4},{6}]=>[3,1,2,5,4,6]
[2,2,1,4,5,3]=>[{3},{1,2},{6},{4},{5}]=>[3,1,2,6,4,5]
[2,2,1,5,3,4]=>[{3},{1,2},{5},{6},{4}]=>[3,1,2,5,6,4]
[2,2,1,5,4,3]=>[{3},{1,2},{6},{5},{4}]=>[3,1,2,6,5,4]
[2,2,3,1,4,5]=>[{4},{1,2},{3},{5},{6}]=>[4,1,2,3,5,6]
[2,2,3,1,5,4]=>[{4},{1,2},{3},{6},{5}]=>[4,1,2,3,6,5]
[2,2,3,4,1,5]=>[{5},{1,2},{3},{4},{6}]=>[5,1,2,3,4,6]
[2,2,3,4,5,1]=>[{6},{1,2},{3},{4},{5}]=>[6,1,2,3,4,5]
[2,2,3,5,1,4]=>[{5},{1,2},{3},{6},{4}]=>[5,1,2,3,6,4]
[2,2,3,5,4,1]=>[{6},{1,2},{3},{5},{4}]=>[6,1,2,3,5,4]
[2,2,4,1,3,5]=>[{4},{1,2},{5},{3},{6}]=>[4,1,2,5,3,6]
[2,2,4,1,5,3]=>[{4},{1,2},{6},{3},{5}]=>[4,1,2,6,3,5]
[2,2,4,3,1,5]=>[{5},{1,2},{4},{3},{6}]=>[5,1,2,4,3,6]
[2,2,4,3,5,1]=>[{6},{1,2},{4},{3},{5}]=>[6,1,2,4,3,5]
[2,2,4,5,1,3]=>[{5},{1,2},{6},{3},{4}]=>[5,1,2,6,3,4]
[2,2,4,5,3,1]=>[{6},{1,2},{5},{3},{4}]=>[6,1,2,5,3,4]
[2,2,5,1,3,4]=>[{4},{1,2},{5},{6},{3}]=>[4,1,2,5,6,3]
[2,2,5,1,4,3]=>[{4},{1,2},{6},{5},{3}]=>[4,1,2,6,5,3]
[2,2,5,3,1,4]=>[{5},{1,2},{4},{6},{3}]=>[5,1,2,4,6,3]
[2,2,5,3,4,1]=>[{6},{1,2},{4},{5},{3}]=>[6,1,2,4,5,3]
[2,2,5,4,1,3]=>[{5},{1,2},{6},{4},{3}]=>[5,1,2,6,4,3]
[2,2,5,4,3,1]=>[{6},{1,2},{5},{4},{3}]=>[6,1,2,5,4,3]
[2,3,1,2,4,5]=>[{3},{1,4},{2},{5},{6}]=>[3,1,4,2,5,6]
[2,3,1,2,5,4]=>[{3},{1,4},{2},{6},{5}]=>[3,1,4,2,6,5]
[2,3,1,4,2,5]=>[{3},{1,5},{2},{4},{6}]=>[3,1,5,2,4,6]
[2,3,1,4,5,2]=>[{3},{1,6},{2},{4},{5}]=>[3,1,6,2,4,5]
[2,3,1,5,2,4]=>[{3},{1,5},{2},{6},{4}]=>[3,1,5,2,6,4]
[2,3,1,5,4,2]=>[{3},{1,6},{2},{5},{4}]=>[3,1,6,2,5,4]
[2,3,2,1,4,5]=>[{4},{1,3},{2},{5},{6}]=>[4,1,3,2,5,6]
[2,3,2,1,5,4]=>[{4},{1,3},{2},{6},{5}]=>[4,1,3,2,6,5]
[2,3,2,4,1,5]=>[{5},{1,3},{2},{4},{6}]=>[5,1,3,2,4,6]
[2,3,2,4,5,1]=>[{6},{1,3},{2},{4},{5}]=>[6,1,3,2,4,5]
[2,3,2,5,1,4]=>[{5},{1,3},{2},{6},{4}]=>[5,1,3,2,6,4]
[2,3,2,5,4,1]=>[{6},{1,3},{2},{5},{4}]=>[6,1,3,2,5,4]
[2,3,4,1,2,5]=>[{4},{1,5},{2},{3},{6}]=>[4,1,5,2,3,6]
[2,3,4,1,5,2]=>[{4},{1,6},{2},{3},{5}]=>[4,1,6,2,3,5]
[2,3,4,2,1,5]=>[{5},{1,4},{2},{3},{6}]=>[5,1,4,2,3,6]
[2,3,4,2,5,1]=>[{6},{1,4},{2},{3},{5}]=>[6,1,4,2,3,5]
[2,3,4,5,1,2]=>[{5},{1,6},{2},{3},{4}]=>[5,1,6,2,3,4]
[2,3,4,5,2,1]=>[{6},{1,5},{2},{3},{4}]=>[6,1,5,2,3,4]
[2,3,5,1,2,4]=>[{4},{1,5},{2},{6},{3}]=>[4,1,5,2,6,3]
[2,3,5,1,4,2]=>[{4},{1,6},{2},{5},{3}]=>[4,1,6,2,5,3]
[2,3,5,2,1,4]=>[{5},{1,4},{2},{6},{3}]=>[5,1,4,2,6,3]
[2,3,5,2,4,1]=>[{6},{1,4},{2},{5},{3}]=>[6,1,4,2,5,3]
[2,3,5,4,1,2]=>[{5},{1,6},{2},{4},{3}]=>[5,1,6,2,4,3]
[2,3,5,4,2,1]=>[{6},{1,5},{2},{4},{3}]=>[6,1,5,2,4,3]
[2,4,1,2,3,5]=>[{3},{1,4},{5},{2},{6}]=>[3,1,4,5,2,6]
[2,4,1,2,5,3]=>[{3},{1,4},{6},{2},{5}]=>[3,1,4,6,2,5]
[2,4,1,3,2,5]=>[{3},{1,5},{4},{2},{6}]=>[3,1,5,4,2,6]
[2,4,1,3,5,2]=>[{3},{1,6},{4},{2},{5}]=>[3,1,6,4,2,5]
[2,4,1,5,2,3]=>[{3},{1,5},{6},{2},{4}]=>[3,1,5,6,2,4]
[2,4,1,5,3,2]=>[{3},{1,6},{5},{2},{4}]=>[3,1,6,5,2,4]
[2,4,2,1,3,5]=>[{4},{1,3},{5},{2},{6}]=>[4,1,3,5,2,6]
[2,4,2,1,5,3]=>[{4},{1,3},{6},{2},{5}]=>[4,1,3,6,2,5]
[2,4,2,3,1,5]=>[{5},{1,3},{4},{2},{6}]=>[5,1,3,4,2,6]
[2,4,2,3,5,1]=>[{6},{1,3},{4},{2},{5}]=>[6,1,3,4,2,5]
[2,4,2,5,1,3]=>[{5},{1,3},{6},{2},{4}]=>[5,1,3,6,2,4]
[2,4,2,5,3,1]=>[{6},{1,3},{5},{2},{4}]=>[6,1,3,5,2,4]
[2,4,3,1,2,5]=>[{4},{1,5},{3},{2},{6}]=>[4,1,5,3,2,6]
[2,4,3,1,5,2]=>[{4},{1,6},{3},{2},{5}]=>[4,1,6,3,2,5]
[2,4,3,2,1,5]=>[{5},{1,4},{3},{2},{6}]=>[5,1,4,3,2,6]
[2,4,3,2,5,1]=>[{6},{1,4},{3},{2},{5}]=>[6,1,4,3,2,5]
[2,4,3,5,1,2]=>[{5},{1,6},{3},{2},{4}]=>[5,1,6,3,2,4]
[2,4,3,5,2,1]=>[{6},{1,5},{3},{2},{4}]=>[6,1,5,3,2,4]
[2,4,5,1,2,3]=>[{4},{1,5},{6},{2},{3}]=>[4,1,5,6,2,3]
[2,4,5,1,3,2]=>[{4},{1,6},{5},{2},{3}]=>[4,1,6,5,2,3]
[2,4,5,2,1,3]=>[{5},{1,4},{6},{2},{3}]=>[5,1,4,6,2,3]
[2,4,5,2,3,1]=>[{6},{1,4},{5},{2},{3}]=>[6,1,4,5,2,3]
[2,4,5,3,1,2]=>[{5},{1,6},{4},{2},{3}]=>[5,1,6,4,2,3]
[2,4,5,3,2,1]=>[{6},{1,5},{4},{2},{3}]=>[6,1,5,4,2,3]
[2,5,1,2,3,4]=>[{3},{1,4},{5},{6},{2}]=>[3,1,4,5,6,2]
[2,5,1,2,4,3]=>[{3},{1,4},{6},{5},{2}]=>[3,1,4,6,5,2]
[2,5,1,3,2,4]=>[{3},{1,5},{4},{6},{2}]=>[3,1,5,4,6,2]
[2,5,1,3,4,2]=>[{3},{1,6},{4},{5},{2}]=>[3,1,6,4,5,2]
[2,5,1,4,2,3]=>[{3},{1,5},{6},{4},{2}]=>[3,1,5,6,4,2]
[2,5,1,4,3,2]=>[{3},{1,6},{5},{4},{2}]=>[3,1,6,5,4,2]
[2,5,2,1,3,4]=>[{4},{1,3},{5},{6},{2}]=>[4,1,3,5,6,2]
[2,5,2,1,4,3]=>[{4},{1,3},{6},{5},{2}]=>[4,1,3,6,5,2]
[2,5,2,3,1,4]=>[{5},{1,3},{4},{6},{2}]=>[5,1,3,4,6,2]
[2,5,2,3,4,1]=>[{6},{1,3},{4},{5},{2}]=>[6,1,3,4,5,2]
[2,5,2,4,1,3]=>[{5},{1,3},{6},{4},{2}]=>[5,1,3,6,4,2]
[2,5,2,4,3,1]=>[{6},{1,3},{5},{4},{2}]=>[6,1,3,5,4,2]
[2,5,3,1,2,4]=>[{4},{1,5},{3},{6},{2}]=>[4,1,5,3,6,2]
[2,5,3,1,4,2]=>[{4},{1,6},{3},{5},{2}]=>[4,1,6,3,5,2]
[2,5,3,2,1,4]=>[{5},{1,4},{3},{6},{2}]=>[5,1,4,3,6,2]
[2,5,3,2,4,1]=>[{6},{1,4},{3},{5},{2}]=>[6,1,4,3,5,2]
[2,5,3,4,1,2]=>[{5},{1,6},{3},{4},{2}]=>[5,1,6,3,4,2]
[2,5,3,4,2,1]=>[{6},{1,5},{3},{4},{2}]=>[6,1,5,3,4,2]
[2,5,4,1,2,3]=>[{4},{1,5},{6},{3},{2}]=>[4,1,5,6,3,2]
[2,5,4,1,3,2]=>[{4},{1,6},{5},{3},{2}]=>[4,1,6,5,3,2]
[2,5,4,2,1,3]=>[{5},{1,4},{6},{3},{2}]=>[5,1,4,6,3,2]
[2,5,4,2,3,1]=>[{6},{1,4},{5},{3},{2}]=>[6,1,4,5,3,2]
[2,5,4,3,1,2]=>[{5},{1,6},{4},{3},{2}]=>[5,1,6,4,3,2]
[2,5,4,3,2,1]=>[{6},{1,5},{4},{3},{2}]=>[6,1,5,4,3,2]
[3,1,2,2,4,5]=>[{2},{3,4},{1},{5},{6}]=>[2,3,4,1,5,6]
[3,1,2,2,5,4]=>[{2},{3,4},{1},{6},{5}]=>[2,3,4,1,6,5]
[3,1,2,4,2,5]=>[{2},{3,5},{1},{4},{6}]=>[2,3,5,1,4,6]
[3,1,2,4,5,2]=>[{2},{3,6},{1},{4},{5}]=>[2,3,6,1,4,5]
[3,1,2,5,2,4]=>[{2},{3,5},{1},{6},{4}]=>[2,3,5,1,6,4]
[3,1,2,5,4,2]=>[{2},{3,6},{1},{5},{4}]=>[2,3,6,1,5,4]
[3,1,4,2,2,5]=>[{2},{4,5},{1},{3},{6}]=>[2,4,5,1,3,6]
[3,1,4,2,5,2]=>[{2},{4,6},{1},{3},{5}]=>[2,4,6,1,3,5]
[3,1,4,5,2,2]=>[{2},{5,6},{1},{3},{4}]=>[2,5,6,1,3,4]
[3,1,5,2,2,4]=>[{2},{4,5},{1},{6},{3}]=>[2,4,5,1,6,3]
[3,1,5,2,4,2]=>[{2},{4,6},{1},{5},{3}]=>[2,4,6,1,5,3]
[3,1,5,4,2,2]=>[{2},{5,6},{1},{4},{3}]=>[2,5,6,1,4,3]
[3,2,1,2,4,5]=>[{3},{2,4},{1},{5},{6}]=>[3,2,4,1,5,6]
[3,2,1,2,5,4]=>[{3},{2,4},{1},{6},{5}]=>[3,2,4,1,6,5]
[3,2,1,4,2,5]=>[{3},{2,5},{1},{4},{6}]=>[3,2,5,1,4,6]
[3,2,1,4,5,2]=>[{3},{2,6},{1},{4},{5}]=>[3,2,6,1,4,5]
[3,2,1,5,2,4]=>[{3},{2,5},{1},{6},{4}]=>[3,2,5,1,6,4]
[3,2,1,5,4,2]=>[{3},{2,6},{1},{5},{4}]=>[3,2,6,1,5,4]
[3,2,2,1,4,5]=>[{4},{2,3},{1},{5},{6}]=>[4,2,3,1,5,6]
[3,2,2,1,5,4]=>[{4},{2,3},{1},{6},{5}]=>[4,2,3,1,6,5]
[3,2,2,4,1,5]=>[{5},{2,3},{1},{4},{6}]=>[5,2,3,1,4,6]
[3,2,2,4,5,1]=>[{6},{2,3},{1},{4},{5}]=>[6,2,3,1,4,5]
[3,2,2,5,1,4]=>[{5},{2,3},{1},{6},{4}]=>[5,2,3,1,6,4]
[3,2,2,5,4,1]=>[{6},{2,3},{1},{5},{4}]=>[6,2,3,1,5,4]
[3,2,4,1,2,5]=>[{4},{2,5},{1},{3},{6}]=>[4,2,5,1,3,6]
[3,2,4,1,5,2]=>[{4},{2,6},{1},{3},{5}]=>[4,2,6,1,3,5]
[3,2,4,2,1,5]=>[{5},{2,4},{1},{3},{6}]=>[5,2,4,1,3,6]
[3,2,4,2,5,1]=>[{6},{2,4},{1},{3},{5}]=>[6,2,4,1,3,5]
[3,2,4,5,1,2]=>[{5},{2,6},{1},{3},{4}]=>[5,2,6,1,3,4]
[3,2,4,5,2,1]=>[{6},{2,5},{1},{3},{4}]=>[6,2,5,1,3,4]
[3,2,5,1,2,4]=>[{4},{2,5},{1},{6},{3}]=>[4,2,5,1,6,3]
[3,2,5,1,4,2]=>[{4},{2,6},{1},{5},{3}]=>[4,2,6,1,5,3]
[3,2,5,2,1,4]=>[{5},{2,4},{1},{6},{3}]=>[5,2,4,1,6,3]
[3,2,5,2,4,1]=>[{6},{2,4},{1},{5},{3}]=>[6,2,4,1,5,3]
[3,2,5,4,1,2]=>[{5},{2,6},{1},{4},{3}]=>[5,2,6,1,4,3]
[3,2,5,4,2,1]=>[{6},{2,5},{1},{4},{3}]=>[6,2,5,1,4,3]
[3,4,1,2,2,5]=>[{3},{4,5},{1},{2},{6}]=>[3,4,5,1,2,6]
[3,4,1,2,5,2]=>[{3},{4,6},{1},{2},{5}]=>[3,4,6,1,2,5]
[3,4,1,5,2,2]=>[{3},{5,6},{1},{2},{4}]=>[3,5,6,1,2,4]
[3,4,2,1,2,5]=>[{4},{3,5},{1},{2},{6}]=>[4,3,5,1,2,6]
[3,4,2,1,5,2]=>[{4},{3,6},{1},{2},{5}]=>[4,3,6,1,2,5]
[3,4,2,2,1,5]=>[{5},{3,4},{1},{2},{6}]=>[5,3,4,1,2,6]
[3,4,2,2,5,1]=>[{6},{3,4},{1},{2},{5}]=>[6,3,4,1,2,5]
[3,4,2,5,1,2]=>[{5},{3,6},{1},{2},{4}]=>[5,3,6,1,2,4]
[3,4,2,5,2,1]=>[{6},{3,5},{1},{2},{4}]=>[6,3,5,1,2,4]
[3,4,5,1,2,2]=>[{4},{5,6},{1},{2},{3}]=>[4,5,6,1,2,3]
[3,4,5,2,1,2]=>[{5},{4,6},{1},{2},{3}]=>[5,4,6,1,2,3]
[3,4,5,2,2,1]=>[{6},{4,5},{1},{2},{3}]=>[6,4,5,1,2,3]
[3,5,1,2,2,4]=>[{3},{4,5},{1},{6},{2}]=>[3,4,5,1,6,2]
[3,5,1,2,4,2]=>[{3},{4,6},{1},{5},{2}]=>[3,4,6,1,5,2]
[3,5,1,4,2,2]=>[{3},{5,6},{1},{4},{2}]=>[3,5,6,1,4,2]
[3,5,2,1,2,4]=>[{4},{3,5},{1},{6},{2}]=>[4,3,5,1,6,2]
[3,5,2,1,4,2]=>[{4},{3,6},{1},{5},{2}]=>[4,3,6,1,5,2]
[3,5,2,2,1,4]=>[{5},{3,4},{1},{6},{2}]=>[5,3,4,1,6,2]
[3,5,2,2,4,1]=>[{6},{3,4},{1},{5},{2}]=>[6,3,4,1,5,2]
[3,5,2,4,1,2]=>[{5},{3,6},{1},{4},{2}]=>[5,3,6,1,4,2]
[3,5,2,4,2,1]=>[{6},{3,5},{1},{4},{2}]=>[6,3,5,1,4,2]
[3,5,4,1,2,2]=>[{4},{5,6},{1},{3},{2}]=>[4,5,6,1,3,2]
[3,5,4,2,1,2]=>[{5},{4,6},{1},{3},{2}]=>[5,4,6,1,3,2]
[3,5,4,2,2,1]=>[{6},{4,5},{1},{3},{2}]=>[6,4,5,1,3,2]
[4,1,2,2,3,5]=>[{2},{3,4},{5},{1},{6}]=>[2,3,4,5,1,6]
[4,1,2,2,5,3]=>[{2},{3,4},{6},{1},{5}]=>[2,3,4,6,1,5]
[4,1,2,3,2,5]=>[{2},{3,5},{4},{1},{6}]=>[2,3,5,4,1,6]
[4,1,2,3,5,2]=>[{2},{3,6},{4},{1},{5}]=>[2,3,6,4,1,5]
[4,1,2,5,2,3]=>[{2},{3,5},{6},{1},{4}]=>[2,3,5,6,1,4]
[4,1,2,5,3,2]=>[{2},{3,6},{5},{1},{4}]=>[2,3,6,5,1,4]
[4,1,3,2,2,5]=>[{2},{4,5},{3},{1},{6}]=>[2,4,5,3,1,6]
[4,1,3,2,5,2]=>[{2},{4,6},{3},{1},{5}]=>[2,4,6,3,1,5]
[4,1,3,5,2,2]=>[{2},{5,6},{3},{1},{4}]=>[2,5,6,3,1,4]
[4,1,5,2,2,3]=>[{2},{4,5},{6},{1},{3}]=>[2,4,5,6,1,3]
[4,1,5,2,3,2]=>[{2},{4,6},{5},{1},{3}]=>[2,4,6,5,1,3]
[4,1,5,3,2,2]=>[{2},{5,6},{4},{1},{3}]=>[2,5,6,4,1,3]
[4,2,1,2,3,5]=>[{3},{2,4},{5},{1},{6}]=>[3,2,4,5,1,6]
[4,2,1,2,5,3]=>[{3},{2,4},{6},{1},{5}]=>[3,2,4,6,1,5]
[4,2,1,3,2,5]=>[{3},{2,5},{4},{1},{6}]=>[3,2,5,4,1,6]
[4,2,1,3,5,2]=>[{3},{2,6},{4},{1},{5}]=>[3,2,6,4,1,5]
[4,2,1,5,2,3]=>[{3},{2,5},{6},{1},{4}]=>[3,2,5,6,1,4]
[4,2,1,5,3,2]=>[{3},{2,6},{5},{1},{4}]=>[3,2,6,5,1,4]
[4,2,2,1,3,5]=>[{4},{2,3},{5},{1},{6}]=>[4,2,3,5,1,6]
[4,2,2,1,5,3]=>[{4},{2,3},{6},{1},{5}]=>[4,2,3,6,1,5]
[4,2,2,3,1,5]=>[{5},{2,3},{4},{1},{6}]=>[5,2,3,4,1,6]
[4,2,2,3,5,1]=>[{6},{2,3},{4},{1},{5}]=>[6,2,3,4,1,5]
[4,2,2,5,1,3]=>[{5},{2,3},{6},{1},{4}]=>[5,2,3,6,1,4]
[4,2,2,5,3,1]=>[{6},{2,3},{5},{1},{4}]=>[6,2,3,5,1,4]
[4,2,3,1,2,5]=>[{4},{2,5},{3},{1},{6}]=>[4,2,5,3,1,6]
[4,2,3,1,5,2]=>[{4},{2,6},{3},{1},{5}]=>[4,2,6,3,1,5]
[4,2,3,2,1,5]=>[{5},{2,4},{3},{1},{6}]=>[5,2,4,3,1,6]
[4,2,3,2,5,1]=>[{6},{2,4},{3},{1},{5}]=>[6,2,4,3,1,5]
[4,2,3,5,1,2]=>[{5},{2,6},{3},{1},{4}]=>[5,2,6,3,1,4]
[4,2,3,5,2,1]=>[{6},{2,5},{3},{1},{4}]=>[6,2,5,3,1,4]
[4,2,5,1,2,3]=>[{4},{2,5},{6},{1},{3}]=>[4,2,5,6,1,3]
[4,2,5,1,3,2]=>[{4},{2,6},{5},{1},{3}]=>[4,2,6,5,1,3]
[4,2,5,2,1,3]=>[{5},{2,4},{6},{1},{3}]=>[5,2,4,6,1,3]
[4,2,5,2,3,1]=>[{6},{2,4},{5},{1},{3}]=>[6,2,4,5,1,3]
[4,2,5,3,1,2]=>[{5},{2,6},{4},{1},{3}]=>[5,2,6,4,1,3]
[4,2,5,3,2,1]=>[{6},{2,5},{4},{1},{3}]=>[6,2,5,4,1,3]
[4,3,1,2,2,5]=>[{3},{4,5},{2},{1},{6}]=>[3,4,5,2,1,6]
[4,3,1,2,5,2]=>[{3},{4,6},{2},{1},{5}]=>[3,4,6,2,1,5]
[4,3,1,5,2,2]=>[{3},{5,6},{2},{1},{4}]=>[3,5,6,2,1,4]
[4,3,2,1,2,5]=>[{4},{3,5},{2},{1},{6}]=>[4,3,5,2,1,6]
[4,3,2,1,5,2]=>[{4},{3,6},{2},{1},{5}]=>[4,3,6,2,1,5]
[4,3,2,2,1,5]=>[{5},{3,4},{2},{1},{6}]=>[5,3,4,2,1,6]
[4,3,2,2,5,1]=>[{6},{3,4},{2},{1},{5}]=>[6,3,4,2,1,5]
[4,3,2,5,1,2]=>[{5},{3,6},{2},{1},{4}]=>[5,3,6,2,1,4]
[4,3,2,5,2,1]=>[{6},{3,5},{2},{1},{4}]=>[6,3,5,2,1,4]
[4,3,5,1,2,2]=>[{4},{5,6},{2},{1},{3}]=>[4,5,6,2,1,3]
[4,3,5,2,1,2]=>[{5},{4,6},{2},{1},{3}]=>[5,4,6,2,1,3]
[4,3,5,2,2,1]=>[{6},{4,5},{2},{1},{3}]=>[6,4,5,2,1,3]
[4,5,1,2,2,3]=>[{3},{4,5},{6},{1},{2}]=>[3,4,5,6,1,2]
[4,5,1,2,3,2]=>[{3},{4,6},{5},{1},{2}]=>[3,4,6,5,1,2]
[4,5,1,3,2,2]=>[{3},{5,6},{4},{1},{2}]=>[3,5,6,4,1,2]
[4,5,2,1,2,3]=>[{4},{3,5},{6},{1},{2}]=>[4,3,5,6,1,2]
[4,5,2,1,3,2]=>[{4},{3,6},{5},{1},{2}]=>[4,3,6,5,1,2]
[4,5,2,2,1,3]=>[{5},{3,4},{6},{1},{2}]=>[5,3,4,6,1,2]
[4,5,2,2,3,1]=>[{6},{3,4},{5},{1},{2}]=>[6,3,4,5,1,2]
[4,5,2,3,1,2]=>[{5},{3,6},{4},{1},{2}]=>[5,3,6,4,1,2]
[4,5,2,3,2,1]=>[{6},{3,5},{4},{1},{2}]=>[6,3,5,4,1,2]
[4,5,3,1,2,2]=>[{4},{5,6},{3},{1},{2}]=>[4,5,6,3,1,2]
[4,5,3,2,1,2]=>[{5},{4,6},{3},{1},{2}]=>[5,4,6,3,1,2]
[4,5,3,2,2,1]=>[{6},{4,5},{3},{1},{2}]=>[6,4,5,3,1,2]
[5,1,2,2,3,4]=>[{2},{3,4},{5},{6},{1}]=>[2,3,4,5,6,1]
[5,1,2,2,4,3]=>[{2},{3,4},{6},{5},{1}]=>[2,3,4,6,5,1]
[5,1,2,3,2,4]=>[{2},{3,5},{4},{6},{1}]=>[2,3,5,4,6,1]
[5,1,2,3,4,2]=>[{2},{3,6},{4},{5},{1}]=>[2,3,6,4,5,1]
[5,1,2,4,2,3]=>[{2},{3,5},{6},{4},{1}]=>[2,3,5,6,4,1]
[5,1,2,4,3,2]=>[{2},{3,6},{5},{4},{1}]=>[2,3,6,5,4,1]
[5,1,3,2,2,4]=>[{2},{4,5},{3},{6},{1}]=>[2,4,5,3,6,1]
[5,1,3,2,4,2]=>[{2},{4,6},{3},{5},{1}]=>[2,4,6,3,5,1]
[5,1,3,4,2,2]=>[{2},{5,6},{3},{4},{1}]=>[2,5,6,3,4,1]
[5,1,4,2,2,3]=>[{2},{4,5},{6},{3},{1}]=>[2,4,5,6,3,1]
[5,1,4,2,3,2]=>[{2},{4,6},{5},{3},{1}]=>[2,4,6,5,3,1]
[5,1,4,3,2,2]=>[{2},{5,6},{4},{3},{1}]=>[2,5,6,4,3,1]
[5,2,1,2,3,4]=>[{3},{2,4},{5},{6},{1}]=>[3,2,4,5,6,1]
[5,2,1,2,4,3]=>[{3},{2,4},{6},{5},{1}]=>[3,2,4,6,5,1]
[5,2,1,3,2,4]=>[{3},{2,5},{4},{6},{1}]=>[3,2,5,4,6,1]
[5,2,1,3,4,2]=>[{3},{2,6},{4},{5},{1}]=>[3,2,6,4,5,1]
[5,2,1,4,2,3]=>[{3},{2,5},{6},{4},{1}]=>[3,2,5,6,4,1]
[5,2,1,4,3,2]=>[{3},{2,6},{5},{4},{1}]=>[3,2,6,5,4,1]
[5,2,2,1,3,4]=>[{4},{2,3},{5},{6},{1}]=>[4,2,3,5,6,1]
[5,2,2,1,4,3]=>[{4},{2,3},{6},{5},{1}]=>[4,2,3,6,5,1]
[5,2,2,3,1,4]=>[{5},{2,3},{4},{6},{1}]=>[5,2,3,4,6,1]
[5,2,2,3,4,1]=>[{6},{2,3},{4},{5},{1}]=>[6,2,3,4,5,1]
[5,2,2,4,1,3]=>[{5},{2,3},{6},{4},{1}]=>[5,2,3,6,4,1]
[5,2,2,4,3,1]=>[{6},{2,3},{5},{4},{1}]=>[6,2,3,5,4,1]
[5,2,3,1,2,4]=>[{4},{2,5},{3},{6},{1}]=>[4,2,5,3,6,1]
[5,2,3,1,4,2]=>[{4},{2,6},{3},{5},{1}]=>[4,2,6,3,5,1]
[5,2,3,2,1,4]=>[{5},{2,4},{3},{6},{1}]=>[5,2,4,3,6,1]
[5,2,3,2,4,1]=>[{6},{2,4},{3},{5},{1}]=>[6,2,4,3,5,1]
[5,2,3,4,1,2]=>[{5},{2,6},{3},{4},{1}]=>[5,2,6,3,4,1]
[5,2,3,4,2,1]=>[{6},{2,5},{3},{4},{1}]=>[6,2,5,3,4,1]
[5,2,4,1,2,3]=>[{4},{2,5},{6},{3},{1}]=>[4,2,5,6,3,1]
[5,2,4,1,3,2]=>[{4},{2,6},{5},{3},{1}]=>[4,2,6,5,3,1]
[5,2,4,2,1,3]=>[{5},{2,4},{6},{3},{1}]=>[5,2,4,6,3,1]
[5,2,4,2,3,1]=>[{6},{2,4},{5},{3},{1}]=>[6,2,4,5,3,1]
[5,2,4,3,1,2]=>[{5},{2,6},{4},{3},{1}]=>[5,2,6,4,3,1]
[5,2,4,3,2,1]=>[{6},{2,5},{4},{3},{1}]=>[6,2,5,4,3,1]
[5,3,1,2,2,4]=>[{3},{4,5},{2},{6},{1}]=>[3,4,5,2,6,1]
[5,3,1,2,4,2]=>[{3},{4,6},{2},{5},{1}]=>[3,4,6,2,5,1]
[5,3,1,4,2,2]=>[{3},{5,6},{2},{4},{1}]=>[3,5,6,2,4,1]
[5,3,2,1,2,4]=>[{4},{3,5},{2},{6},{1}]=>[4,3,5,2,6,1]
[5,3,2,1,4,2]=>[{4},{3,6},{2},{5},{1}]=>[4,3,6,2,5,1]
[5,3,2,2,1,4]=>[{5},{3,4},{2},{6},{1}]=>[5,3,4,2,6,1]
[5,3,2,2,4,1]=>[{6},{3,4},{2},{5},{1}]=>[6,3,4,2,5,1]
[5,3,2,4,1,2]=>[{5},{3,6},{2},{4},{1}]=>[5,3,6,2,4,1]
[5,3,2,4,2,1]=>[{6},{3,5},{2},{4},{1}]=>[6,3,5,2,4,1]
[5,3,4,1,2,2]=>[{4},{5,6},{2},{3},{1}]=>[4,5,6,2,3,1]
[5,3,4,2,1,2]=>[{5},{4,6},{2},{3},{1}]=>[5,4,6,2,3,1]
[5,3,4,2,2,1]=>[{6},{4,5},{2},{3},{1}]=>[6,4,5,2,3,1]
[5,4,1,2,2,3]=>[{3},{4,5},{6},{2},{1}]=>[3,4,5,6,2,1]
[5,4,1,2,3,2]=>[{3},{4,6},{5},{2},{1}]=>[3,4,6,5,2,1]
[5,4,1,3,2,2]=>[{3},{5,6},{4},{2},{1}]=>[3,5,6,4,2,1]
[5,4,2,1,2,3]=>[{4},{3,5},{6},{2},{1}]=>[4,3,5,6,2,1]
[5,4,2,1,3,2]=>[{4},{3,6},{5},{2},{1}]=>[4,3,6,5,2,1]
[5,4,2,2,1,3]=>[{5},{3,4},{6},{2},{1}]=>[5,3,4,6,2,1]
[5,4,2,2,3,1]=>[{6},{3,4},{5},{2},{1}]=>[6,3,4,5,2,1]
[5,4,2,3,1,2]=>[{5},{3,6},{4},{2},{1}]=>[5,3,6,4,2,1]
[5,4,2,3,2,1]=>[{6},{3,5},{4},{2},{1}]=>[6,3,5,4,2,1]
[5,4,3,1,2,2]=>[{4},{5,6},{3},{2},{1}]=>[4,5,6,3,2,1]
[5,4,3,2,1,2]=>[{5},{4,6},{3},{2},{1}]=>[5,4,6,3,2,1]
[5,4,3,2,2,1]=>[{6},{4,5},{3},{2},{1}]=>[6,4,5,3,2,1]
[1,2,2,3,4,6]=>[{1},{2,3},{4},{5},{6}]=>[1,2,3,4,5,6]
[1,2,2,3,6,4]=>[{1},{2,3},{4},{6},{5}]=>[1,2,3,4,6,5]
[1,2,2,4,3,6]=>[{1},{2,3},{5},{4},{6}]=>[1,2,3,5,4,6]
[1,2,2,4,6,3]=>[{1},{2,3},{6},{4},{5}]=>[1,2,3,6,4,5]
[1,2,2,6,3,4]=>[{1},{2,3},{5},{6},{4}]=>[1,2,3,5,6,4]
[1,2,2,6,4,3]=>[{1},{2,3},{6},{5},{4}]=>[1,2,3,6,5,4]
[1,2,3,2,4,6]=>[{1},{2,4},{3},{5},{6}]=>[1,2,4,3,5,6]
[1,2,3,2,6,4]=>[{1},{2,4},{3},{6},{5}]=>[1,2,4,3,6,5]
[1,2,3,4,2,6]=>[{1},{2,5},{3},{4},{6}]=>[1,2,5,3,4,6]
[1,2,3,4,6,2]=>[{1},{2,6},{3},{4},{5}]=>[1,2,6,3,4,5]
[1,2,3,6,2,4]=>[{1},{2,5},{3},{6},{4}]=>[1,2,5,3,6,4]
[1,2,3,6,4,2]=>[{1},{2,6},{3},{5},{4}]=>[1,2,6,3,5,4]
[1,2,4,2,3,6]=>[{1},{2,4},{5},{3},{6}]=>[1,2,4,5,3,6]
[1,2,4,2,6,3]=>[{1},{2,4},{6},{3},{5}]=>[1,2,4,6,3,5]
[1,2,4,3,2,6]=>[{1},{2,5},{4},{3},{6}]=>[1,2,5,4,3,6]
[1,2,4,3,6,2]=>[{1},{2,6},{4},{3},{5}]=>[1,2,6,4,3,5]
[1,2,4,6,2,3]=>[{1},{2,5},{6},{3},{4}]=>[1,2,5,6,3,4]
[1,2,4,6,3,2]=>[{1},{2,6},{5},{3},{4}]=>[1,2,6,5,3,4]
[1,2,6,2,3,4]=>[{1},{2,4},{5},{6},{3}]=>[1,2,4,5,6,3]
[1,2,6,2,4,3]=>[{1},{2,4},{6},{5},{3}]=>[1,2,4,6,5,3]
[1,2,6,3,2,4]=>[{1},{2,5},{4},{6},{3}]=>[1,2,5,4,6,3]
[1,2,6,3,4,2]=>[{1},{2,6},{4},{5},{3}]=>[1,2,6,4,5,3]
[1,2,6,4,2,3]=>[{1},{2,5},{6},{4},{3}]=>[1,2,5,6,4,3]
[1,2,6,4,3,2]=>[{1},{2,6},{5},{4},{3}]=>[1,2,6,5,4,3]
[1,3,2,2,4,6]=>[{1},{3,4},{2},{5},{6}]=>[1,3,4,2,5,6]
[1,3,2,2,6,4]=>[{1},{3,4},{2},{6},{5}]=>[1,3,4,2,6,5]
[1,3,2,4,2,6]=>[{1},{3,5},{2},{4},{6}]=>[1,3,5,2,4,6]
[1,3,2,4,6,2]=>[{1},{3,6},{2},{4},{5}]=>[1,3,6,2,4,5]
[1,3,2,6,2,4]=>[{1},{3,5},{2},{6},{4}]=>[1,3,5,2,6,4]
[1,3,2,6,4,2]=>[{1},{3,6},{2},{5},{4}]=>[1,3,6,2,5,4]
[1,3,4,2,2,6]=>[{1},{4,5},{2},{3},{6}]=>[1,4,5,2,3,6]
[1,3,4,2,6,2]=>[{1},{4,6},{2},{3},{5}]=>[1,4,6,2,3,5]
[1,3,4,6,2,2]=>[{1},{5,6},{2},{3},{4}]=>[1,5,6,2,3,4]
[1,3,6,2,2,4]=>[{1},{4,5},{2},{6},{3}]=>[1,4,5,2,6,3]
[1,3,6,2,4,2]=>[{1},{4,6},{2},{5},{3}]=>[1,4,6,2,5,3]
[1,3,6,4,2,2]=>[{1},{5,6},{2},{4},{3}]=>[1,5,6,2,4,3]
[1,4,2,2,3,6]=>[{1},{3,4},{5},{2},{6}]=>[1,3,4,5,2,6]
[1,4,2,2,6,3]=>[{1},{3,4},{6},{2},{5}]=>[1,3,4,6,2,5]
[1,4,2,3,2,6]=>[{1},{3,5},{4},{2},{6}]=>[1,3,5,4,2,6]
[1,4,2,3,6,2]=>[{1},{3,6},{4},{2},{5}]=>[1,3,6,4,2,5]
[1,4,2,6,2,3]=>[{1},{3,5},{6},{2},{4}]=>[1,3,5,6,2,4]
[1,4,2,6,3,2]=>[{1},{3,6},{5},{2},{4}]=>[1,3,6,5,2,4]
[1,4,3,2,2,6]=>[{1},{4,5},{3},{2},{6}]=>[1,4,5,3,2,6]
[1,4,3,2,6,2]=>[{1},{4,6},{3},{2},{5}]=>[1,4,6,3,2,5]
[1,4,3,6,2,2]=>[{1},{5,6},{3},{2},{4}]=>[1,5,6,3,2,4]
[1,4,6,2,2,3]=>[{1},{4,5},{6},{2},{3}]=>[1,4,5,6,2,3]
[1,4,6,2,3,2]=>[{1},{4,6},{5},{2},{3}]=>[1,4,6,5,2,3]
[1,4,6,3,2,2]=>[{1},{5,6},{4},{2},{3}]=>[1,5,6,4,2,3]
[1,6,2,2,3,4]=>[{1},{3,4},{5},{6},{2}]=>[1,3,4,5,6,2]
[1,6,2,2,4,3]=>[{1},{3,4},{6},{5},{2}]=>[1,3,4,6,5,2]
[1,6,2,3,2,4]=>[{1},{3,5},{4},{6},{2}]=>[1,3,5,4,6,2]
[1,6,2,3,4,2]=>[{1},{3,6},{4},{5},{2}]=>[1,3,6,4,5,2]
[1,6,2,4,2,3]=>[{1},{3,5},{6},{4},{2}]=>[1,3,5,6,4,2]
[1,6,2,4,3,2]=>[{1},{3,6},{5},{4},{2}]=>[1,3,6,5,4,2]
[1,6,3,2,2,4]=>[{1},{4,5},{3},{6},{2}]=>[1,4,5,3,6,2]
[1,6,3,2,4,2]=>[{1},{4,6},{3},{5},{2}]=>[1,4,6,3,5,2]
[1,6,3,4,2,2]=>[{1},{5,6},{3},{4},{2}]=>[1,5,6,3,4,2]
[1,6,4,2,2,3]=>[{1},{4,5},{6},{3},{2}]=>[1,4,5,6,3,2]
[1,6,4,2,3,2]=>[{1},{4,6},{5},{3},{2}]=>[1,4,6,5,3,2]
[1,6,4,3,2,2]=>[{1},{5,6},{4},{3},{2}]=>[1,5,6,4,3,2]
[2,1,2,3,4,6]=>[{2},{1,3},{4},{5},{6}]=>[2,1,3,4,5,6]
[2,1,2,3,6,4]=>[{2},{1,3},{4},{6},{5}]=>[2,1,3,4,6,5]
[2,1,2,4,3,6]=>[{2},{1,3},{5},{4},{6}]=>[2,1,3,5,4,6]
[2,1,2,4,6,3]=>[{2},{1,3},{6},{4},{5}]=>[2,1,3,6,4,5]
[2,1,2,6,3,4]=>[{2},{1,3},{5},{6},{4}]=>[2,1,3,5,6,4]
[2,1,2,6,4,3]=>[{2},{1,3},{6},{5},{4}]=>[2,1,3,6,5,4]
[2,1,3,2,4,6]=>[{2},{1,4},{3},{5},{6}]=>[2,1,4,3,5,6]
[2,1,3,2,6,4]=>[{2},{1,4},{3},{6},{5}]=>[2,1,4,3,6,5]
[2,1,3,4,2,6]=>[{2},{1,5},{3},{4},{6}]=>[2,1,5,3,4,6]
[2,1,3,4,6,2]=>[{2},{1,6},{3},{4},{5}]=>[2,1,6,3,4,5]
[2,1,3,6,2,4]=>[{2},{1,5},{3},{6},{4}]=>[2,1,5,3,6,4]
[2,1,3,6,4,2]=>[{2},{1,6},{3},{5},{4}]=>[2,1,6,3,5,4]
[2,1,4,2,3,6]=>[{2},{1,4},{5},{3},{6}]=>[2,1,4,5,3,6]
[2,1,4,2,6,3]=>[{2},{1,4},{6},{3},{5}]=>[2,1,4,6,3,5]
[2,1,4,3,2,6]=>[{2},{1,5},{4},{3},{6}]=>[2,1,5,4,3,6]
[2,1,4,3,6,2]=>[{2},{1,6},{4},{3},{5}]=>[2,1,6,4,3,5]
[2,1,4,6,2,3]=>[{2},{1,5},{6},{3},{4}]=>[2,1,5,6,3,4]
[2,1,4,6,3,2]=>[{2},{1,6},{5},{3},{4}]=>[2,1,6,5,3,4]
[2,1,6,2,3,4]=>[{2},{1,4},{5},{6},{3}]=>[2,1,4,5,6,3]
[2,1,6,2,4,3]=>[{2},{1,4},{6},{5},{3}]=>[2,1,4,6,5,3]
[2,1,6,3,2,4]=>[{2},{1,5},{4},{6},{3}]=>[2,1,5,4,6,3]
[2,1,6,3,4,2]=>[{2},{1,6},{4},{5},{3}]=>[2,1,6,4,5,3]
[2,1,6,4,2,3]=>[{2},{1,5},{6},{4},{3}]=>[2,1,5,6,4,3]
[2,1,6,4,3,2]=>[{2},{1,6},{5},{4},{3}]=>[2,1,6,5,4,3]
[2,2,1,3,4,6]=>[{3},{1,2},{4},{5},{6}]=>[3,1,2,4,5,6]
[2,2,1,3,6,4]=>[{3},{1,2},{4},{6},{5}]=>[3,1,2,4,6,5]
[2,2,1,4,3,6]=>[{3},{1,2},{5},{4},{6}]=>[3,1,2,5,4,6]
[2,2,1,4,6,3]=>[{3},{1,2},{6},{4},{5}]=>[3,1,2,6,4,5]
[2,2,1,6,3,4]=>[{3},{1,2},{5},{6},{4}]=>[3,1,2,5,6,4]
[2,2,1,6,4,3]=>[{3},{1,2},{6},{5},{4}]=>[3,1,2,6,5,4]
[2,2,3,1,4,6]=>[{4},{1,2},{3},{5},{6}]=>[4,1,2,3,5,6]
[2,2,3,1,6,4]=>[{4},{1,2},{3},{6},{5}]=>[4,1,2,3,6,5]
[2,2,3,4,1,6]=>[{5},{1,2},{3},{4},{6}]=>[5,1,2,3,4,6]
[2,2,3,4,6,1]=>[{6},{1,2},{3},{4},{5}]=>[6,1,2,3,4,5]
[2,2,3,6,1,4]=>[{5},{1,2},{3},{6},{4}]=>[5,1,2,3,6,4]
[2,2,3,6,4,1]=>[{6},{1,2},{3},{5},{4}]=>[6,1,2,3,5,4]
[2,2,4,1,3,6]=>[{4},{1,2},{5},{3},{6}]=>[4,1,2,5,3,6]
[2,2,4,1,6,3]=>[{4},{1,2},{6},{3},{5}]=>[4,1,2,6,3,5]
[2,2,4,3,1,6]=>[{5},{1,2},{4},{3},{6}]=>[5,1,2,4,3,6]
[2,2,4,3,6,1]=>[{6},{1,2},{4},{3},{5}]=>[6,1,2,4,3,5]
[2,2,4,6,1,3]=>[{5},{1,2},{6},{3},{4}]=>[5,1,2,6,3,4]
[2,2,4,6,3,1]=>[{6},{1,2},{5},{3},{4}]=>[6,1,2,5,3,4]
[2,2,6,1,3,4]=>[{4},{1,2},{5},{6},{3}]=>[4,1,2,5,6,3]
[2,2,6,1,4,3]=>[{4},{1,2},{6},{5},{3}]=>[4,1,2,6,5,3]
[2,2,6,3,1,4]=>[{5},{1,2},{4},{6},{3}]=>[5,1,2,4,6,3]
[2,2,6,3,4,1]=>[{6},{1,2},{4},{5},{3}]=>[6,1,2,4,5,3]
[2,2,6,4,1,3]=>[{5},{1,2},{6},{4},{3}]=>[5,1,2,6,4,3]
[2,2,6,4,3,1]=>[{6},{1,2},{5},{4},{3}]=>[6,1,2,5,4,3]
[2,3,1,2,4,6]=>[{3},{1,4},{2},{5},{6}]=>[3,1,4,2,5,6]
[2,3,1,2,6,4]=>[{3},{1,4},{2},{6},{5}]=>[3,1,4,2,6,5]
[2,3,1,4,2,6]=>[{3},{1,5},{2},{4},{6}]=>[3,1,5,2,4,6]
[2,3,1,4,6,2]=>[{3},{1,6},{2},{4},{5}]=>[3,1,6,2,4,5]
[2,3,1,6,2,4]=>[{3},{1,5},{2},{6},{4}]=>[3,1,5,2,6,4]
[2,3,1,6,4,2]=>[{3},{1,6},{2},{5},{4}]=>[3,1,6,2,5,4]
[2,3,2,1,4,6]=>[{4},{1,3},{2},{5},{6}]=>[4,1,3,2,5,6]
[2,3,2,1,6,4]=>[{4},{1,3},{2},{6},{5}]=>[4,1,3,2,6,5]
[2,3,2,4,1,6]=>[{5},{1,3},{2},{4},{6}]=>[5,1,3,2,4,6]
[2,3,2,4,6,1]=>[{6},{1,3},{2},{4},{5}]=>[6,1,3,2,4,5]
[2,3,2,6,1,4]=>[{5},{1,3},{2},{6},{4}]=>[5,1,3,2,6,4]
[2,3,2,6,4,1]=>[{6},{1,3},{2},{5},{4}]=>[6,1,3,2,5,4]
[2,3,4,1,2,6]=>[{4},{1,5},{2},{3},{6}]=>[4,1,5,2,3,6]
[2,3,4,1,6,2]=>[{4},{1,6},{2},{3},{5}]=>[4,1,6,2,3,5]
[2,3,4,2,1,6]=>[{5},{1,4},{2},{3},{6}]=>[5,1,4,2,3,6]
[2,3,4,2,6,1]=>[{6},{1,4},{2},{3},{5}]=>[6,1,4,2,3,5]
[2,3,4,6,1,2]=>[{5},{1,6},{2},{3},{4}]=>[5,1,6,2,3,4]
[2,3,4,6,2,1]=>[{6},{1,5},{2},{3},{4}]=>[6,1,5,2,3,4]
[2,3,6,1,2,4]=>[{4},{1,5},{2},{6},{3}]=>[4,1,5,2,6,3]
[2,3,6,1,4,2]=>[{4},{1,6},{2},{5},{3}]=>[4,1,6,2,5,3]
[2,3,6,2,1,4]=>[{5},{1,4},{2},{6},{3}]=>[5,1,4,2,6,3]
[2,3,6,2,4,1]=>[{6},{1,4},{2},{5},{3}]=>[6,1,4,2,5,3]
[2,3,6,4,1,2]=>[{5},{1,6},{2},{4},{3}]=>[5,1,6,2,4,3]
[2,3,6,4,2,1]=>[{6},{1,5},{2},{4},{3}]=>[6,1,5,2,4,3]
[2,4,1,2,3,6]=>[{3},{1,4},{5},{2},{6}]=>[3,1,4,5,2,6]
[2,4,1,2,6,3]=>[{3},{1,4},{6},{2},{5}]=>[3,1,4,6,2,5]
[2,4,1,3,2,6]=>[{3},{1,5},{4},{2},{6}]=>[3,1,5,4,2,6]
[2,4,1,3,6,2]=>[{3},{1,6},{4},{2},{5}]=>[3,1,6,4,2,5]
[2,4,1,6,2,3]=>[{3},{1,5},{6},{2},{4}]=>[3,1,5,6,2,4]
[2,4,1,6,3,2]=>[{3},{1,6},{5},{2},{4}]=>[3,1,6,5,2,4]
[2,4,2,1,3,6]=>[{4},{1,3},{5},{2},{6}]=>[4,1,3,5,2,6]
[2,4,2,1,6,3]=>[{4},{1,3},{6},{2},{5}]=>[4,1,3,6,2,5]
[2,4,2,3,1,6]=>[{5},{1,3},{4},{2},{6}]=>[5,1,3,4,2,6]
[2,4,2,3,6,1]=>[{6},{1,3},{4},{2},{5}]=>[6,1,3,4,2,5]
[2,4,2,6,1,3]=>[{5},{1,3},{6},{2},{4}]=>[5,1,3,6,2,4]
[2,4,2,6,3,1]=>[{6},{1,3},{5},{2},{4}]=>[6,1,3,5,2,4]
[2,4,3,1,2,6]=>[{4},{1,5},{3},{2},{6}]=>[4,1,5,3,2,6]
[2,4,3,1,6,2]=>[{4},{1,6},{3},{2},{5}]=>[4,1,6,3,2,5]
[2,4,3,2,1,6]=>[{5},{1,4},{3},{2},{6}]=>[5,1,4,3,2,6]
[2,4,3,2,6,1]=>[{6},{1,4},{3},{2},{5}]=>[6,1,4,3,2,5]
[2,4,3,6,1,2]=>[{5},{1,6},{3},{2},{4}]=>[5,1,6,3,2,4]
[2,4,3,6,2,1]=>[{6},{1,5},{3},{2},{4}]=>[6,1,5,3,2,4]
[2,4,6,1,2,3]=>[{4},{1,5},{6},{2},{3}]=>[4,1,5,6,2,3]
[2,4,6,1,3,2]=>[{4},{1,6},{5},{2},{3}]=>[4,1,6,5,2,3]
[2,4,6,2,1,3]=>[{5},{1,4},{6},{2},{3}]=>[5,1,4,6,2,3]
[2,4,6,2,3,1]=>[{6},{1,4},{5},{2},{3}]=>[6,1,4,5,2,3]
[2,4,6,3,1,2]=>[{5},{1,6},{4},{2},{3}]=>[5,1,6,4,2,3]
[2,4,6,3,2,1]=>[{6},{1,5},{4},{2},{3}]=>[6,1,5,4,2,3]
[2,6,1,2,3,4]=>[{3},{1,4},{5},{6},{2}]=>[3,1,4,5,6,2]
[2,6,1,2,4,3]=>[{3},{1,4},{6},{5},{2}]=>[3,1,4,6,5,2]
[2,6,1,3,2,4]=>[{3},{1,5},{4},{6},{2}]=>[3,1,5,4,6,2]
[2,6,1,3,4,2]=>[{3},{1,6},{4},{5},{2}]=>[3,1,6,4,5,2]
[2,6,1,4,2,3]=>[{3},{1,5},{6},{4},{2}]=>[3,1,5,6,4,2]
[2,6,1,4,3,2]=>[{3},{1,6},{5},{4},{2}]=>[3,1,6,5,4,2]
[2,6,2,1,3,4]=>[{4},{1,3},{5},{6},{2}]=>[4,1,3,5,6,2]
[2,6,2,1,4,3]=>[{4},{1,3},{6},{5},{2}]=>[4,1,3,6,5,2]
[2,6,2,3,1,4]=>[{5},{1,3},{4},{6},{2}]=>[5,1,3,4,6,2]
[2,6,2,3,4,1]=>[{6},{1,3},{4},{5},{2}]=>[6,1,3,4,5,2]
[2,6,2,4,1,3]=>[{5},{1,3},{6},{4},{2}]=>[5,1,3,6,4,2]
[2,6,2,4,3,1]=>[{6},{1,3},{5},{4},{2}]=>[6,1,3,5,4,2]
[2,6,3,1,2,4]=>[{4},{1,5},{3},{6},{2}]=>[4,1,5,3,6,2]
[2,6,3,1,4,2]=>[{4},{1,6},{3},{5},{2}]=>[4,1,6,3,5,2]
[2,6,3,2,1,4]=>[{5},{1,4},{3},{6},{2}]=>[5,1,4,3,6,2]
[2,6,3,2,4,1]=>[{6},{1,4},{3},{5},{2}]=>[6,1,4,3,5,2]
[2,6,3,4,1,2]=>[{5},{1,6},{3},{4},{2}]=>[5,1,6,3,4,2]
[2,6,3,4,2,1]=>[{6},{1,5},{3},{4},{2}]=>[6,1,5,3,4,2]
[2,6,4,1,2,3]=>[{4},{1,5},{6},{3},{2}]=>[4,1,5,6,3,2]
[2,6,4,1,3,2]=>[{4},{1,6},{5},{3},{2}]=>[4,1,6,5,3,2]
[2,6,4,2,1,3]=>[{5},{1,4},{6},{3},{2}]=>[5,1,4,6,3,2]
[2,6,4,2,3,1]=>[{6},{1,4},{5},{3},{2}]=>[6,1,4,5,3,2]
[2,6,4,3,1,2]=>[{5},{1,6},{4},{3},{2}]=>[5,1,6,4,3,2]
[2,6,4,3,2,1]=>[{6},{1,5},{4},{3},{2}]=>[6,1,5,4,3,2]
[3,1,2,2,4,6]=>[{2},{3,4},{1},{5},{6}]=>[2,3,4,1,5,6]
[3,1,2,2,6,4]=>[{2},{3,4},{1},{6},{5}]=>[2,3,4,1,6,5]
[3,1,2,4,2,6]=>[{2},{3,5},{1},{4},{6}]=>[2,3,5,1,4,6]
[3,1,2,4,6,2]=>[{2},{3,6},{1},{4},{5}]=>[2,3,6,1,4,5]
[3,1,2,6,2,4]=>[{2},{3,5},{1},{6},{4}]=>[2,3,5,1,6,4]
[3,1,2,6,4,2]=>[{2},{3,6},{1},{5},{4}]=>[2,3,6,1,5,4]
[3,1,4,2,2,6]=>[{2},{4,5},{1},{3},{6}]=>[2,4,5,1,3,6]
[3,1,4,2,6,2]=>[{2},{4,6},{1},{3},{5}]=>[2,4,6,1,3,5]
[3,1,4,6,2,2]=>[{2},{5,6},{1},{3},{4}]=>[2,5,6,1,3,4]
[3,1,6,2,2,4]=>[{2},{4,5},{1},{6},{3}]=>[2,4,5,1,6,3]
[3,1,6,2,4,2]=>[{2},{4,6},{1},{5},{3}]=>[2,4,6,1,5,3]
[3,1,6,4,2,2]=>[{2},{5,6},{1},{4},{3}]=>[2,5,6,1,4,3]
[3,2,1,2,4,6]=>[{3},{2,4},{1},{5},{6}]=>[3,2,4,1,5,6]
[3,2,1,2,6,4]=>[{3},{2,4},{1},{6},{5}]=>[3,2,4,1,6,5]
[3,2,1,4,2,6]=>[{3},{2,5},{1},{4},{6}]=>[3,2,5,1,4,6]
[3,2,1,4,6,2]=>[{3},{2,6},{1},{4},{5}]=>[3,2,6,1,4,5]
[3,2,1,6,2,4]=>[{3},{2,5},{1},{6},{4}]=>[3,2,5,1,6,4]
[3,2,1,6,4,2]=>[{3},{2,6},{1},{5},{4}]=>[3,2,6,1,5,4]
[3,2,2,1,4,6]=>[{4},{2,3},{1},{5},{6}]=>[4,2,3,1,5,6]
[3,2,2,1,6,4]=>[{4},{2,3},{1},{6},{5}]=>[4,2,3,1,6,5]
[3,2,2,4,1,6]=>[{5},{2,3},{1},{4},{6}]=>[5,2,3,1,4,6]
[3,2,2,4,6,1]=>[{6},{2,3},{1},{4},{5}]=>[6,2,3,1,4,5]
[3,2,2,6,1,4]=>[{5},{2,3},{1},{6},{4}]=>[5,2,3,1,6,4]
[3,2,2,6,4,1]=>[{6},{2,3},{1},{5},{4}]=>[6,2,3,1,5,4]
[3,2,4,1,2,6]=>[{4},{2,5},{1},{3},{6}]=>[4,2,5,1,3,6]
[3,2,4,1,6,2]=>[{4},{2,6},{1},{3},{5}]=>[4,2,6,1,3,5]
[3,2,4,2,1,6]=>[{5},{2,4},{1},{3},{6}]=>[5,2,4,1,3,6]
[3,2,4,2,6,1]=>[{6},{2,4},{1},{3},{5}]=>[6,2,4,1,3,5]
[3,2,4,6,1,2]=>[{5},{2,6},{1},{3},{4}]=>[5,2,6,1,3,4]
[3,2,4,6,2,1]=>[{6},{2,5},{1},{3},{4}]=>[6,2,5,1,3,4]
[3,2,6,1,2,4]=>[{4},{2,5},{1},{6},{3}]=>[4,2,5,1,6,3]
[3,2,6,1,4,2]=>[{4},{2,6},{1},{5},{3}]=>[4,2,6,1,5,3]
[3,2,6,2,1,4]=>[{5},{2,4},{1},{6},{3}]=>[5,2,4,1,6,3]
[3,2,6,2,4,1]=>[{6},{2,4},{1},{5},{3}]=>[6,2,4,1,5,3]
[3,2,6,4,1,2]=>[{5},{2,6},{1},{4},{3}]=>[5,2,6,1,4,3]
[3,2,6,4,2,1]=>[{6},{2,5},{1},{4},{3}]=>[6,2,5,1,4,3]
[3,4,1,2,2,6]=>[{3},{4,5},{1},{2},{6}]=>[3,4,5,1,2,6]
[3,4,1,2,6,2]=>[{3},{4,6},{1},{2},{5}]=>[3,4,6,1,2,5]
[3,4,1,6,2,2]=>[{3},{5,6},{1},{2},{4}]=>[3,5,6,1,2,4]
[3,4,2,1,2,6]=>[{4},{3,5},{1},{2},{6}]=>[4,3,5,1,2,6]
[3,4,2,1,6,2]=>[{4},{3,6},{1},{2},{5}]=>[4,3,6,1,2,5]
[3,4,2,2,1,6]=>[{5},{3,4},{1},{2},{6}]=>[5,3,4,1,2,6]
[3,4,2,2,6,1]=>[{6},{3,4},{1},{2},{5}]=>[6,3,4,1,2,5]
[3,4,2,6,1,2]=>[{5},{3,6},{1},{2},{4}]=>[5,3,6,1,2,4]
[3,4,2,6,2,1]=>[{6},{3,5},{1},{2},{4}]=>[6,3,5,1,2,4]
[3,4,6,1,2,2]=>[{4},{5,6},{1},{2},{3}]=>[4,5,6,1,2,3]
[3,4,6,2,1,2]=>[{5},{4,6},{1},{2},{3}]=>[5,4,6,1,2,3]
[3,4,6,2,2,1]=>[{6},{4,5},{1},{2},{3}]=>[6,4,5,1,2,3]
[3,6,1,2,2,4]=>[{3},{4,5},{1},{6},{2}]=>[3,4,5,1,6,2]
[3,6,1,2,4,2]=>[{3},{4,6},{1},{5},{2}]=>[3,4,6,1,5,2]
[3,6,1,4,2,2]=>[{3},{5,6},{1},{4},{2}]=>[3,5,6,1,4,2]
[3,6,2,1,2,4]=>[{4},{3,5},{1},{6},{2}]=>[4,3,5,1,6,2]
[3,6,2,1,4,2]=>[{4},{3,6},{1},{5},{2}]=>[4,3,6,1,5,2]
[3,6,2,2,1,4]=>[{5},{3,4},{1},{6},{2}]=>[5,3,4,1,6,2]
[3,6,2,2,4,1]=>[{6},{3,4},{1},{5},{2}]=>[6,3,4,1,5,2]
[3,6,2,4,1,2]=>[{5},{3,6},{1},{4},{2}]=>[5,3,6,1,4,2]
[3,6,2,4,2,1]=>[{6},{3,5},{1},{4},{2}]=>[6,3,5,1,4,2]
[3,6,4,1,2,2]=>[{4},{5,6},{1},{3},{2}]=>[4,5,6,1,3,2]
[3,6,4,2,1,2]=>[{5},{4,6},{1},{3},{2}]=>[5,4,6,1,3,2]
[3,6,4,2,2,1]=>[{6},{4,5},{1},{3},{2}]=>[6,4,5,1,3,2]
[4,1,2,2,3,6]=>[{2},{3,4},{5},{1},{6}]=>[2,3,4,5,1,6]
[4,1,2,2,6,3]=>[{2},{3,4},{6},{1},{5}]=>[2,3,4,6,1,5]
[4,1,2,3,2,6]=>[{2},{3,5},{4},{1},{6}]=>[2,3,5,4,1,6]
[4,1,2,3,6,2]=>[{2},{3,6},{4},{1},{5}]=>[2,3,6,4,1,5]
[4,1,2,6,2,3]=>[{2},{3,5},{6},{1},{4}]=>[2,3,5,6,1,4]
[4,1,2,6,3,2]=>[{2},{3,6},{5},{1},{4}]=>[2,3,6,5,1,4]
[4,1,3,2,2,6]=>[{2},{4,5},{3},{1},{6}]=>[2,4,5,3,1,6]
[4,1,3,2,6,2]=>[{2},{4,6},{3},{1},{5}]=>[2,4,6,3,1,5]
[4,1,3,6,2,2]=>[{2},{5,6},{3},{1},{4}]=>[2,5,6,3,1,4]
[4,1,6,2,2,3]=>[{2},{4,5},{6},{1},{3}]=>[2,4,5,6,1,3]
[4,1,6,2,3,2]=>[{2},{4,6},{5},{1},{3}]=>[2,4,6,5,1,3]
[4,1,6,3,2,2]=>[{2},{5,6},{4},{1},{3}]=>[2,5,6,4,1,3]
[4,2,1,2,3,6]=>[{3},{2,4},{5},{1},{6}]=>[3,2,4,5,1,6]
[4,2,1,2,6,3]=>[{3},{2,4},{6},{1},{5}]=>[3,2,4,6,1,5]
[4,2,1,3,2,6]=>[{3},{2,5},{4},{1},{6}]=>[3,2,5,4,1,6]
[4,2,1,3,6,2]=>[{3},{2,6},{4},{1},{5}]=>[3,2,6,4,1,5]
[4,2,1,6,2,3]=>[{3},{2,5},{6},{1},{4}]=>[3,2,5,6,1,4]
[4,2,1,6,3,2]=>[{3},{2,6},{5},{1},{4}]=>[3,2,6,5,1,4]
[4,2,2,1,3,6]=>[{4},{2,3},{5},{1},{6}]=>[4,2,3,5,1,6]
[4,2,2,1,6,3]=>[{4},{2,3},{6},{1},{5}]=>[4,2,3,6,1,5]
[4,2,2,3,1,6]=>[{5},{2,3},{4},{1},{6}]=>[5,2,3,4,1,6]
[4,2,2,3,6,1]=>[{6},{2,3},{4},{1},{5}]=>[6,2,3,4,1,5]
[4,2,2,6,1,3]=>[{5},{2,3},{6},{1},{4}]=>[5,2,3,6,1,4]
[4,2,2,6,3,1]=>[{6},{2,3},{5},{1},{4}]=>[6,2,3,5,1,4]
[4,2,3,1,2,6]=>[{4},{2,5},{3},{1},{6}]=>[4,2,5,3,1,6]
[4,2,3,1,6,2]=>[{4},{2,6},{3},{1},{5}]=>[4,2,6,3,1,5]
[4,2,3,2,1,6]=>[{5},{2,4},{3},{1},{6}]=>[5,2,4,3,1,6]
[4,2,3,2,6,1]=>[{6},{2,4},{3},{1},{5}]=>[6,2,4,3,1,5]
[4,2,3,6,1,2]=>[{5},{2,6},{3},{1},{4}]=>[5,2,6,3,1,4]
[4,2,3,6,2,1]=>[{6},{2,5},{3},{1},{4}]=>[6,2,5,3,1,4]
[4,2,6,1,2,3]=>[{4},{2,5},{6},{1},{3}]=>[4,2,5,6,1,3]
[4,2,6,1,3,2]=>[{4},{2,6},{5},{1},{3}]=>[4,2,6,5,1,3]
[4,2,6,2,1,3]=>[{5},{2,4},{6},{1},{3}]=>[5,2,4,6,1,3]
[4,2,6,2,3,1]=>[{6},{2,4},{5},{1},{3}]=>[6,2,4,5,1,3]
[4,2,6,3,1,2]=>[{5},{2,6},{4},{1},{3}]=>[5,2,6,4,1,3]
[4,2,6,3,2,1]=>[{6},{2,5},{4},{1},{3}]=>[6,2,5,4,1,3]
[4,3,1,2,2,6]=>[{3},{4,5},{2},{1},{6}]=>[3,4,5,2,1,6]
[4,3,1,2,6,2]=>[{3},{4,6},{2},{1},{5}]=>[3,4,6,2,1,5]
[4,3,1,6,2,2]=>[{3},{5,6},{2},{1},{4}]=>[3,5,6,2,1,4]
[4,3,2,1,2,6]=>[{4},{3,5},{2},{1},{6}]=>[4,3,5,2,1,6]
[4,3,2,1,6,2]=>[{4},{3,6},{2},{1},{5}]=>[4,3,6,2,1,5]
[4,3,2,2,1,6]=>[{5},{3,4},{2},{1},{6}]=>[5,3,4,2,1,6]
[4,3,2,2,6,1]=>[{6},{3,4},{2},{1},{5}]=>[6,3,4,2,1,5]
[4,3,2,6,1,2]=>[{5},{3,6},{2},{1},{4}]=>[5,3,6,2,1,4]
[4,3,2,6,2,1]=>[{6},{3,5},{2},{1},{4}]=>[6,3,5,2,1,4]
[4,3,6,1,2,2]=>[{4},{5,6},{2},{1},{3}]=>[4,5,6,2,1,3]
[4,3,6,2,1,2]=>[{5},{4,6},{2},{1},{3}]=>[5,4,6,2,1,3]
[4,3,6,2,2,1]=>[{6},{4,5},{2},{1},{3}]=>[6,4,5,2,1,3]
[4,6,1,2,2,3]=>[{3},{4,5},{6},{1},{2}]=>[3,4,5,6,1,2]
[4,6,1,2,3,2]=>[{3},{4,6},{5},{1},{2}]=>[3,4,6,5,1,2]
[4,6,1,3,2,2]=>[{3},{5,6},{4},{1},{2}]=>[3,5,6,4,1,2]
[4,6,2,1,2,3]=>[{4},{3,5},{6},{1},{2}]=>[4,3,5,6,1,2]
[4,6,2,1,3,2]=>[{4},{3,6},{5},{1},{2}]=>[4,3,6,5,1,2]
[4,6,2,2,1,3]=>[{5},{3,4},{6},{1},{2}]=>[5,3,4,6,1,2]
[4,6,2,2,3,1]=>[{6},{3,4},{5},{1},{2}]=>[6,3,4,5,1,2]
[4,6,2,3,1,2]=>[{5},{3,6},{4},{1},{2}]=>[5,3,6,4,1,2]
[4,6,2,3,2,1]=>[{6},{3,5},{4},{1},{2}]=>[6,3,5,4,1,2]
[4,6,3,1,2,2]=>[{4},{5,6},{3},{1},{2}]=>[4,5,6,3,1,2]
[4,6,3,2,1,2]=>[{5},{4,6},{3},{1},{2}]=>[5,4,6,3,1,2]
[4,6,3,2,2,1]=>[{6},{4,5},{3},{1},{2}]=>[6,4,5,3,1,2]
[6,1,2,2,3,4]=>[{2},{3,4},{5},{6},{1}]=>[2,3,4,5,6,1]
[6,1,2,2,4,3]=>[{2},{3,4},{6},{5},{1}]=>[2,3,4,6,5,1]
[6,1,2,3,2,4]=>[{2},{3,5},{4},{6},{1}]=>[2,3,5,4,6,1]
[6,1,2,3,4,2]=>[{2},{3,6},{4},{5},{1}]=>[2,3,6,4,5,1]
[6,1,2,4,2,3]=>[{2},{3,5},{6},{4},{1}]=>[2,3,5,6,4,1]
[6,1,2,4,3,2]=>[{2},{3,6},{5},{4},{1}]=>[2,3,6,5,4,1]
[6,1,3,2,2,4]=>[{2},{4,5},{3},{6},{1}]=>[2,4,5,3,6,1]
[6,1,3,2,4,2]=>[{2},{4,6},{3},{5},{1}]=>[2,4,6,3,5,1]
[6,1,3,4,2,2]=>[{2},{5,6},{3},{4},{1}]=>[2,5,6,3,4,1]
[6,1,4,2,2,3]=>[{2},{4,5},{6},{3},{1}]=>[2,4,5,6,3,1]
[6,1,4,2,3,2]=>[{2},{4,6},{5},{3},{1}]=>[2,4,6,5,3,1]
[6,1,4,3,2,2]=>[{2},{5,6},{4},{3},{1}]=>[2,5,6,4,3,1]
[6,2,1,2,3,4]=>[{3},{2,4},{5},{6},{1}]=>[3,2,4,5,6,1]
[6,2,1,2,4,3]=>[{3},{2,4},{6},{5},{1}]=>[3,2,4,6,5,1]
[6,2,1,3,2,4]=>[{3},{2,5},{4},{6},{1}]=>[3,2,5,4,6,1]
[6,2,1,3,4,2]=>[{3},{2,6},{4},{5},{1}]=>[3,2,6,4,5,1]
[6,2,1,4,2,3]=>[{3},{2,5},{6},{4},{1}]=>[3,2,5,6,4,1]
[6,2,1,4,3,2]=>[{3},{2,6},{5},{4},{1}]=>[3,2,6,5,4,1]
[6,2,2,1,3,4]=>[{4},{2,3},{5},{6},{1}]=>[4,2,3,5,6,1]
[6,2,2,1,4,3]=>[{4},{2,3},{6},{5},{1}]=>[4,2,3,6,5,1]
[6,2,2,3,1,4]=>[{5},{2,3},{4},{6},{1}]=>[5,2,3,4,6,1]
[6,2,2,3,4,1]=>[{6},{2,3},{4},{5},{1}]=>[6,2,3,4,5,1]
[6,2,2,4,1,3]=>[{5},{2,3},{6},{4},{1}]=>[5,2,3,6,4,1]
[6,2,2,4,3,1]=>[{6},{2,3},{5},{4},{1}]=>[6,2,3,5,4,1]
[6,2,3,1,2,4]=>[{4},{2,5},{3},{6},{1}]=>[4,2,5,3,6,1]
[6,2,3,1,4,2]=>[{4},{2,6},{3},{5},{1}]=>[4,2,6,3,5,1]
[6,2,3,2,1,4]=>[{5},{2,4},{3},{6},{1}]=>[5,2,4,3,6,1]
[6,2,3,2,4,1]=>[{6},{2,4},{3},{5},{1}]=>[6,2,4,3,5,1]
[6,2,3,4,1,2]=>[{5},{2,6},{3},{4},{1}]=>[5,2,6,3,4,1]
[6,2,3,4,2,1]=>[{6},{2,5},{3},{4},{1}]=>[6,2,5,3,4,1]
[6,2,4,1,2,3]=>[{4},{2,5},{6},{3},{1}]=>[4,2,5,6,3,1]
[6,2,4,1,3,2]=>[{4},{2,6},{5},{3},{1}]=>[4,2,6,5,3,1]
[6,2,4,2,1,3]=>[{5},{2,4},{6},{3},{1}]=>[5,2,4,6,3,1]
[6,2,4,2,3,1]=>[{6},{2,4},{5},{3},{1}]=>[6,2,4,5,3,1]
[6,2,4,3,1,2]=>[{5},{2,6},{4},{3},{1}]=>[5,2,6,4,3,1]
[6,2,4,3,2,1]=>[{6},{2,5},{4},{3},{1}]=>[6,2,5,4,3,1]
[6,3,1,2,2,4]=>[{3},{4,5},{2},{6},{1}]=>[3,4,5,2,6,1]
[6,3,1,2,4,2]=>[{3},{4,6},{2},{5},{1}]=>[3,4,6,2,5,1]
[6,3,1,4,2,2]=>[{3},{5,6},{2},{4},{1}]=>[3,5,6,2,4,1]
[6,3,2,1,2,4]=>[{4},{3,5},{2},{6},{1}]=>[4,3,5,2,6,1]
[6,3,2,1,4,2]=>[{4},{3,6},{2},{5},{1}]=>[4,3,6,2,5,1]
[6,3,2,2,1,4]=>[{5},{3,4},{2},{6},{1}]=>[5,3,4,2,6,1]
[6,3,2,2,4,1]=>[{6},{3,4},{2},{5},{1}]=>[6,3,4,2,5,1]
[6,3,2,4,1,2]=>[{5},{3,6},{2},{4},{1}]=>[5,3,6,2,4,1]
[6,3,2,4,2,1]=>[{6},{3,5},{2},{4},{1}]=>[6,3,5,2,4,1]
[6,3,4,1,2,2]=>[{4},{5,6},{2},{3},{1}]=>[4,5,6,2,3,1]
[6,3,4,2,1,2]=>[{5},{4,6},{2},{3},{1}]=>[5,4,6,2,3,1]
[6,3,4,2,2,1]=>[{6},{4,5},{2},{3},{1}]=>[6,4,5,2,3,1]
[6,4,1,2,2,3]=>[{3},{4,5},{6},{2},{1}]=>[3,4,5,6,2,1]
[6,4,1,2,3,2]=>[{3},{4,6},{5},{2},{1}]=>[3,4,6,5,2,1]
[6,4,1,3,2,2]=>[{3},{5,6},{4},{2},{1}]=>[3,5,6,4,2,1]
[6,4,2,1,2,3]=>[{4},{3,5},{6},{2},{1}]=>[4,3,5,6,2,1]
[6,4,2,1,3,2]=>[{4},{3,6},{5},{2},{1}]=>[4,3,6,5,2,1]
[6,4,2,2,1,3]=>[{5},{3,4},{6},{2},{1}]=>[5,3,4,6,2,1]
[6,4,2,2,3,1]=>[{6},{3,4},{5},{2},{1}]=>[6,3,4,5,2,1]
[6,4,2,3,1,2]=>[{5},{3,6},{4},{2},{1}]=>[5,3,6,4,2,1]
[6,4,2,3,2,1]=>[{6},{3,5},{4},{2},{1}]=>[6,3,5,4,2,1]
[6,4,3,1,2,2]=>[{4},{5,6},{3},{2},{1}]=>[4,5,6,3,2,1]
[6,4,3,2,1,2]=>[{5},{4,6},{3},{2},{1}]=>[5,4,6,3,2,1]
[6,4,3,2,2,1]=>[{6},{4,5},{3},{2},{1}]=>[6,4,5,3,2,1]
[1,2,2,3,5,5]=>[{1},{2,3},{4},{5,6}]=>[1,2,3,4,5,6]
[1,2,2,5,3,5]=>[{1},{2,3},{5},{4,6}]=>[1,2,3,5,4,6]
[1,2,2,5,5,3]=>[{1},{2,3},{6},{4,5}]=>[1,2,3,6,4,5]
[1,2,3,2,5,5]=>[{1},{2,4},{3},{5,6}]=>[1,2,4,3,5,6]
[1,2,3,5,2,5]=>[{1},{2,5},{3},{4,6}]=>[1,2,5,3,4,6]
[1,2,3,5,5,2]=>[{1},{2,6},{3},{4,5}]=>[1,2,6,3,4,5]
[1,2,5,2,3,5]=>[{1},{2,4},{5},{3,6}]=>[1,2,4,5,3,6]
[1,2,5,2,5,3]=>[{1},{2,4},{6},{3,5}]=>[1,2,4,6,3,5]
[1,2,5,3,2,5]=>[{1},{2,5},{4},{3,6}]=>[1,2,5,4,3,6]
[1,2,5,3,5,2]=>[{1},{2,6},{4},{3,5}]=>[1,2,6,4,3,5]
[1,2,5,5,2,3]=>[{1},{2,5},{6},{3,4}]=>[1,2,5,6,3,4]
[1,2,5,5,3,2]=>[{1},{2,6},{5},{3,4}]=>[1,2,6,5,3,4]
[1,3,2,2,5,5]=>[{1},{3,4},{2},{5,6}]=>[1,3,4,2,5,6]
[1,3,2,5,2,5]=>[{1},{3,5},{2},{4,6}]=>[1,3,5,2,4,6]
[1,3,2,5,5,2]=>[{1},{3,6},{2},{4,5}]=>[1,3,6,2,4,5]
[1,3,5,2,2,5]=>[{1},{4,5},{2},{3,6}]=>[1,4,5,2,3,6]
[1,3,5,2,5,2]=>[{1},{4,6},{2},{3,5}]=>[1,4,6,2,3,5]
[1,3,5,5,2,2]=>[{1},{5,6},{2},{3,4}]=>[1,5,6,2,3,4]
[1,5,2,2,3,5]=>[{1},{3,4},{5},{2,6}]=>[1,3,4,5,2,6]
[1,5,2,2,5,3]=>[{1},{3,4},{6},{2,5}]=>[1,3,4,6,2,5]
[1,5,2,3,2,5]=>[{1},{3,5},{4},{2,6}]=>[1,3,5,4,2,6]
[1,5,2,3,5,2]=>[{1},{3,6},{4},{2,5}]=>[1,3,6,4,2,5]
[1,5,2,5,2,3]=>[{1},{3,5},{6},{2,4}]=>[1,3,5,6,2,4]
[1,5,2,5,3,2]=>[{1},{3,6},{5},{2,4}]=>[1,3,6,5,2,4]
[1,5,3,2,2,5]=>[{1},{4,5},{3},{2,6}]=>[1,4,5,3,2,6]
[1,5,3,2,5,2]=>[{1},{4,6},{3},{2,5}]=>[1,4,6,3,2,5]
[1,5,3,5,2,2]=>[{1},{5,6},{3},{2,4}]=>[1,5,6,3,2,4]
[1,5,5,2,2,3]=>[{1},{4,5},{6},{2,3}]=>[1,4,5,6,2,3]
[1,5,5,2,3,2]=>[{1},{4,6},{5},{2,3}]=>[1,4,6,5,2,3]
[1,5,5,3,2,2]=>[{1},{5,6},{4},{2,3}]=>[1,5,6,4,2,3]
[2,1,2,3,5,5]=>[{2},{1,3},{4},{5,6}]=>[2,1,3,4,5,6]
[2,1,2,5,3,5]=>[{2},{1,3},{5},{4,6}]=>[2,1,3,5,4,6]
[2,1,2,5,5,3]=>[{2},{1,3},{6},{4,5}]=>[2,1,3,6,4,5]
[2,1,3,2,5,5]=>[{2},{1,4},{3},{5,6}]=>[2,1,4,3,5,6]
[2,1,3,5,2,5]=>[{2},{1,5},{3},{4,6}]=>[2,1,5,3,4,6]
[2,1,3,5,5,2]=>[{2},{1,6},{3},{4,5}]=>[2,1,6,3,4,5]
[2,1,5,2,3,5]=>[{2},{1,4},{5},{3,6}]=>[2,1,4,5,3,6]
[2,1,5,2,5,3]=>[{2},{1,4},{6},{3,5}]=>[2,1,4,6,3,5]
[2,1,5,3,2,5]=>[{2},{1,5},{4},{3,6}]=>[2,1,5,4,3,6]
[2,1,5,3,5,2]=>[{2},{1,6},{4},{3,5}]=>[2,1,6,4,3,5]
[2,1,5,5,2,3]=>[{2},{1,5},{6},{3,4}]=>[2,1,5,6,3,4]
[2,1,5,5,3,2]=>[{2},{1,6},{5},{3,4}]=>[2,1,6,5,3,4]
[2,2,1,3,5,5]=>[{3},{1,2},{4},{5,6}]=>[3,1,2,4,5,6]
[2,2,1,5,3,5]=>[{3},{1,2},{5},{4,6}]=>[3,1,2,5,4,6]
[2,2,1,5,5,3]=>[{3},{1,2},{6},{4,5}]=>[3,1,2,6,4,5]
[2,2,3,1,5,5]=>[{4},{1,2},{3},{5,6}]=>[4,1,2,3,5,6]
[2,2,3,5,1,5]=>[{5},{1,2},{3},{4,6}]=>[5,1,2,3,4,6]
[2,2,3,5,5,1]=>[{6},{1,2},{3},{4,5}]=>[6,1,2,3,4,5]
[2,2,5,1,3,5]=>[{4},{1,2},{5},{3,6}]=>[4,1,2,5,3,6]
[2,2,5,1,5,3]=>[{4},{1,2},{6},{3,5}]=>[4,1,2,6,3,5]
[2,2,5,3,1,5]=>[{5},{1,2},{4},{3,6}]=>[5,1,2,4,3,6]
[2,2,5,3,5,1]=>[{6},{1,2},{4},{3,5}]=>[6,1,2,4,3,5]
[2,2,5,5,1,3]=>[{5},{1,2},{6},{3,4}]=>[5,1,2,6,3,4]
[2,2,5,5,3,1]=>[{6},{1,2},{5},{3,4}]=>[6,1,2,5,3,4]
[2,3,1,2,5,5]=>[{3},{1,4},{2},{5,6}]=>[3,1,4,2,5,6]
[2,3,1,5,2,5]=>[{3},{1,5},{2},{4,6}]=>[3,1,5,2,4,6]
[2,3,1,5,5,2]=>[{3},{1,6},{2},{4,5}]=>[3,1,6,2,4,5]
[2,3,2,1,5,5]=>[{4},{1,3},{2},{5,6}]=>[4,1,3,2,5,6]
[2,3,2,5,1,5]=>[{5},{1,3},{2},{4,6}]=>[5,1,3,2,4,6]
[2,3,2,5,5,1]=>[{6},{1,3},{2},{4,5}]=>[6,1,3,2,4,5]
[2,3,5,1,2,5]=>[{4},{1,5},{2},{3,6}]=>[4,1,5,2,3,6]
[2,3,5,1,5,2]=>[{4},{1,6},{2},{3,5}]=>[4,1,6,2,3,5]
[2,3,5,2,1,5]=>[{5},{1,4},{2},{3,6}]=>[5,1,4,2,3,6]
[2,3,5,2,5,1]=>[{6},{1,4},{2},{3,5}]=>[6,1,4,2,3,5]
[2,3,5,5,1,2]=>[{5},{1,6},{2},{3,4}]=>[5,1,6,2,3,4]
[2,3,5,5,2,1]=>[{6},{1,5},{2},{3,4}]=>[6,1,5,2,3,4]
[2,5,1,2,3,5]=>[{3},{1,4},{5},{2,6}]=>[3,1,4,5,2,6]
[2,5,1,2,5,3]=>[{3},{1,4},{6},{2,5}]=>[3,1,4,6,2,5]
[2,5,1,3,2,5]=>[{3},{1,5},{4},{2,6}]=>[3,1,5,4,2,6]
[2,5,1,3,5,2]=>[{3},{1,6},{4},{2,5}]=>[3,1,6,4,2,5]
[2,5,1,5,2,3]=>[{3},{1,5},{6},{2,4}]=>[3,1,5,6,2,4]
[2,5,1,5,3,2]=>[{3},{1,6},{5},{2,4}]=>[3,1,6,5,2,4]
[2,5,2,1,3,5]=>[{4},{1,3},{5},{2,6}]=>[4,1,3,5,2,6]
[2,5,2,1,5,3]=>[{4},{1,3},{6},{2,5}]=>[4,1,3,6,2,5]
[2,5,2,3,1,5]=>[{5},{1,3},{4},{2,6}]=>[5,1,3,4,2,6]
[2,5,2,3,5,1]=>[{6},{1,3},{4},{2,5}]=>[6,1,3,4,2,5]
[2,5,2,5,1,3]=>[{5},{1,3},{6},{2,4}]=>[5,1,3,6,2,4]
[2,5,2,5,3,1]=>[{6},{1,3},{5},{2,4}]=>[6,1,3,5,2,4]
[2,5,3,1,2,5]=>[{4},{1,5},{3},{2,6}]=>[4,1,5,3,2,6]
[2,5,3,1,5,2]=>[{4},{1,6},{3},{2,5}]=>[4,1,6,3,2,5]
[2,5,3,2,1,5]=>[{5},{1,4},{3},{2,6}]=>[5,1,4,3,2,6]
[2,5,3,2,5,1]=>[{6},{1,4},{3},{2,5}]=>[6,1,4,3,2,5]
[2,5,3,5,1,2]=>[{5},{1,6},{3},{2,4}]=>[5,1,6,3,2,4]
[2,5,3,5,2,1]=>[{6},{1,5},{3},{2,4}]=>[6,1,5,3,2,4]
[2,5,5,1,2,3]=>[{4},{1,5},{6},{2,3}]=>[4,1,5,6,2,3]
[2,5,5,1,3,2]=>[{4},{1,6},{5},{2,3}]=>[4,1,6,5,2,3]
[2,5,5,2,1,3]=>[{5},{1,4},{6},{2,3}]=>[5,1,4,6,2,3]
[2,5,5,2,3,1]=>[{6},{1,4},{5},{2,3}]=>[6,1,4,5,2,3]
[2,5,5,3,1,2]=>[{5},{1,6},{4},{2,3}]=>[5,1,6,4,2,3]
[2,5,5,3,2,1]=>[{6},{1,5},{4},{2,3}]=>[6,1,5,4,2,3]
[3,1,2,2,5,5]=>[{2},{3,4},{1},{5,6}]=>[2,3,4,1,5,6]
[3,1,2,5,2,5]=>[{2},{3,5},{1},{4,6}]=>[2,3,5,1,4,6]
[3,1,2,5,5,2]=>[{2},{3,6},{1},{4,5}]=>[2,3,6,1,4,5]
[3,1,5,2,2,5]=>[{2},{4,5},{1},{3,6}]=>[2,4,5,1,3,6]
[3,1,5,2,5,2]=>[{2},{4,6},{1},{3,5}]=>[2,4,6,1,3,5]
[3,1,5,5,2,2]=>[{2},{5,6},{1},{3,4}]=>[2,5,6,1,3,4]
[3,2,1,2,5,5]=>[{3},{2,4},{1},{5,6}]=>[3,2,4,1,5,6]
[3,2,1,5,2,5]=>[{3},{2,5},{1},{4,6}]=>[3,2,5,1,4,6]
[3,2,1,5,5,2]=>[{3},{2,6},{1},{4,5}]=>[3,2,6,1,4,5]
[3,2,2,1,5,5]=>[{4},{2,3},{1},{5,6}]=>[4,2,3,1,5,6]
[3,2,2,5,1,5]=>[{5},{2,3},{1},{4,6}]=>[5,2,3,1,4,6]
[3,2,2,5,5,1]=>[{6},{2,3},{1},{4,5}]=>[6,2,3,1,4,5]
[3,2,5,1,2,5]=>[{4},{2,5},{1},{3,6}]=>[4,2,5,1,3,6]
[3,2,5,1,5,2]=>[{4},{2,6},{1},{3,5}]=>[4,2,6,1,3,5]
[3,2,5,2,1,5]=>[{5},{2,4},{1},{3,6}]=>[5,2,4,1,3,6]
[3,2,5,2,5,1]=>[{6},{2,4},{1},{3,5}]=>[6,2,4,1,3,5]
[3,2,5,5,1,2]=>[{5},{2,6},{1},{3,4}]=>[5,2,6,1,3,4]
[3,2,5,5,2,1]=>[{6},{2,5},{1},{3,4}]=>[6,2,5,1,3,4]
[3,5,1,2,2,5]=>[{3},{4,5},{1},{2,6}]=>[3,4,5,1,2,6]
[3,5,1,2,5,2]=>[{3},{4,6},{1},{2,5}]=>[3,4,6,1,2,5]
[3,5,1,5,2,2]=>[{3},{5,6},{1},{2,4}]=>[3,5,6,1,2,4]
[3,5,2,1,2,5]=>[{4},{3,5},{1},{2,6}]=>[4,3,5,1,2,6]
[3,5,2,1,5,2]=>[{4},{3,6},{1},{2,5}]=>[4,3,6,1,2,5]
[3,5,2,2,1,5]=>[{5},{3,4},{1},{2,6}]=>[5,3,4,1,2,6]
[3,5,2,2,5,1]=>[{6},{3,4},{1},{2,5}]=>[6,3,4,1,2,5]
[3,5,2,5,1,2]=>[{5},{3,6},{1},{2,4}]=>[5,3,6,1,2,4]
[3,5,2,5,2,1]=>[{6},{3,5},{1},{2,4}]=>[6,3,5,1,2,4]
[3,5,5,1,2,2]=>[{4},{5,6},{1},{2,3}]=>[4,5,6,1,2,3]
[3,5,5,2,1,2]=>[{5},{4,6},{1},{2,3}]=>[5,4,6,1,2,3]
[3,5,5,2,2,1]=>[{6},{4,5},{1},{2,3}]=>[6,4,5,1,2,3]
[5,1,2,2,3,5]=>[{2},{3,4},{5},{1,6}]=>[2,3,4,5,1,6]
[5,1,2,2,5,3]=>[{2},{3,4},{6},{1,5}]=>[2,3,4,6,1,5]
[5,1,2,3,2,5]=>[{2},{3,5},{4},{1,6}]=>[2,3,5,4,1,6]
[5,1,2,3,5,2]=>[{2},{3,6},{4},{1,5}]=>[2,3,6,4,1,5]
[5,1,2,5,2,3]=>[{2},{3,5},{6},{1,4}]=>[2,3,5,6,1,4]
[5,1,2,5,3,2]=>[{2},{3,6},{5},{1,4}]=>[2,3,6,5,1,4]
[5,1,3,2,2,5]=>[{2},{4,5},{3},{1,6}]=>[2,4,5,3,1,6]
[5,1,3,2,5,2]=>[{2},{4,6},{3},{1,5}]=>[2,4,6,3,1,5]
[5,1,3,5,2,2]=>[{2},{5,6},{3},{1,4}]=>[2,5,6,3,1,4]
[5,1,5,2,2,3]=>[{2},{4,5},{6},{1,3}]=>[2,4,5,6,1,3]
[5,1,5,2,3,2]=>[{2},{4,6},{5},{1,3}]=>[2,4,6,5,1,3]
[5,1,5,3,2,2]=>[{2},{5,6},{4},{1,3}]=>[2,5,6,4,1,3]
[5,2,1,2,3,5]=>[{3},{2,4},{5},{1,6}]=>[3,2,4,5,1,6]
[5,2,1,2,5,3]=>[{3},{2,4},{6},{1,5}]=>[3,2,4,6,1,5]
[5,2,1,3,2,5]=>[{3},{2,5},{4},{1,6}]=>[3,2,5,4,1,6]
[5,2,1,3,5,2]=>[{3},{2,6},{4},{1,5}]=>[3,2,6,4,1,5]
[5,2,1,5,2,3]=>[{3},{2,5},{6},{1,4}]=>[3,2,5,6,1,4]
[5,2,1,5,3,2]=>[{3},{2,6},{5},{1,4}]=>[3,2,6,5,1,4]
[5,2,2,1,3,5]=>[{4},{2,3},{5},{1,6}]=>[4,2,3,5,1,6]
[5,2,2,1,5,3]=>[{4},{2,3},{6},{1,5}]=>[4,2,3,6,1,5]
[5,2,2,3,1,5]=>[{5},{2,3},{4},{1,6}]=>[5,2,3,4,1,6]
[5,2,2,3,5,1]=>[{6},{2,3},{4},{1,5}]=>[6,2,3,4,1,5]
[5,2,2,5,1,3]=>[{5},{2,3},{6},{1,4}]=>[5,2,3,6,1,4]
[5,2,2,5,3,1]=>[{6},{2,3},{5},{1,4}]=>[6,2,3,5,1,4]
[5,2,3,1,2,5]=>[{4},{2,5},{3},{1,6}]=>[4,2,5,3,1,6]
[5,2,3,1,5,2]=>[{4},{2,6},{3},{1,5}]=>[4,2,6,3,1,5]
[5,2,3,2,1,5]=>[{5},{2,4},{3},{1,6}]=>[5,2,4,3,1,6]
[5,2,3,2,5,1]=>[{6},{2,4},{3},{1,5}]=>[6,2,4,3,1,5]
[5,2,3,5,1,2]=>[{5},{2,6},{3},{1,4}]=>[5,2,6,3,1,4]
[5,2,3,5,2,1]=>[{6},{2,5},{3},{1,4}]=>[6,2,5,3,1,4]
[5,2,5,1,2,3]=>[{4},{2,5},{6},{1,3}]=>[4,2,5,6,1,3]
[5,2,5,1,3,2]=>[{4},{2,6},{5},{1,3}]=>[4,2,6,5,1,3]
[5,2,5,2,1,3]=>[{5},{2,4},{6},{1,3}]=>[5,2,4,6,1,3]
[5,2,5,2,3,1]=>[{6},{2,4},{5},{1,3}]=>[6,2,4,5,1,3]
[5,2,5,3,1,2]=>[{5},{2,6},{4},{1,3}]=>[5,2,6,4,1,3]
[5,2,5,3,2,1]=>[{6},{2,5},{4},{1,3}]=>[6,2,5,4,1,3]
[5,3,1,2,2,5]=>[{3},{4,5},{2},{1,6}]=>[3,4,5,2,1,6]
[5,3,1,2,5,2]=>[{3},{4,6},{2},{1,5}]=>[3,4,6,2,1,5]
[5,3,1,5,2,2]=>[{3},{5,6},{2},{1,4}]=>[3,5,6,2,1,4]
[5,3,2,1,2,5]=>[{4},{3,5},{2},{1,6}]=>[4,3,5,2,1,6]
[5,3,2,1,5,2]=>[{4},{3,6},{2},{1,5}]=>[4,3,6,2,1,5]
[5,3,2,2,1,5]=>[{5},{3,4},{2},{1,6}]=>[5,3,4,2,1,6]
[5,3,2,2,5,1]=>[{6},{3,4},{2},{1,5}]=>[6,3,4,2,1,5]
[5,3,2,5,1,2]=>[{5},{3,6},{2},{1,4}]=>[5,3,6,2,1,4]
[5,3,2,5,2,1]=>[{6},{3,5},{2},{1,4}]=>[6,3,5,2,1,4]
[5,3,5,1,2,2]=>[{4},{5,6},{2},{1,3}]=>[4,5,6,2,1,3]
[5,3,5,2,1,2]=>[{5},{4,6},{2},{1,3}]=>[5,4,6,2,1,3]
[5,3,5,2,2,1]=>[{6},{4,5},{2},{1,3}]=>[6,4,5,2,1,3]
[5,5,1,2,2,3]=>[{3},{4,5},{6},{1,2}]=>[3,4,5,6,1,2]
[5,5,1,2,3,2]=>[{3},{4,6},{5},{1,2}]=>[3,4,6,5,1,2]
[5,5,1,3,2,2]=>[{3},{5,6},{4},{1,2}]=>[3,5,6,4,1,2]
[5,5,2,1,2,3]=>[{4},{3,5},{6},{1,2}]=>[4,3,5,6,1,2]
[5,5,2,1,3,2]=>[{4},{3,6},{5},{1,2}]=>[4,3,6,5,1,2]
[5,5,2,2,1,3]=>[{5},{3,4},{6},{1,2}]=>[5,3,4,6,1,2]
[5,5,2,2,3,1]=>[{6},{3,4},{5},{1,2}]=>[6,3,4,5,1,2]
[5,5,2,3,1,2]=>[{5},{3,6},{4},{1,2}]=>[5,3,6,4,1,2]
[5,5,2,3,2,1]=>[{6},{3,5},{4},{1,2}]=>[6,3,5,4,1,2]
[5,5,3,1,2,2]=>[{4},{5,6},{3},{1,2}]=>[4,5,6,3,1,2]
[5,5,3,2,1,2]=>[{5},{4,6},{3},{1,2}]=>[5,4,6,3,1,2]
[5,5,3,2,2,1]=>[{6},{4,5},{3},{1,2}]=>[6,4,5,3,1,2]
[1,2,2,3,5,6]=>[{1},{2,3},{4},{5},{6}]=>[1,2,3,4,5,6]
[1,2,2,3,6,5]=>[{1},{2,3},{4},{6},{5}]=>[1,2,3,4,6,5]
[1,2,2,5,3,6]=>[{1},{2,3},{5},{4},{6}]=>[1,2,3,5,4,6]
[1,2,2,5,6,3]=>[{1},{2,3},{6},{4},{5}]=>[1,2,3,6,4,5]
[1,2,2,6,3,5]=>[{1},{2,3},{5},{6},{4}]=>[1,2,3,5,6,4]
[1,2,2,6,5,3]=>[{1},{2,3},{6},{5},{4}]=>[1,2,3,6,5,4]
[1,2,3,2,5,6]=>[{1},{2,4},{3},{5},{6}]=>[1,2,4,3,5,6]
[1,2,3,2,6,5]=>[{1},{2,4},{3},{6},{5}]=>[1,2,4,3,6,5]
[1,2,3,5,2,6]=>[{1},{2,5},{3},{4},{6}]=>[1,2,5,3,4,6]
[1,2,3,5,6,2]=>[{1},{2,6},{3},{4},{5}]=>[1,2,6,3,4,5]
[1,2,3,6,2,5]=>[{1},{2,5},{3},{6},{4}]=>[1,2,5,3,6,4]
[1,2,3,6,5,2]=>[{1},{2,6},{3},{5},{4}]=>[1,2,6,3,5,4]
[1,2,5,2,3,6]=>[{1},{2,4},{5},{3},{6}]=>[1,2,4,5,3,6]
[1,2,5,2,6,3]=>[{1},{2,4},{6},{3},{5}]=>[1,2,4,6,3,5]
[1,2,5,3,2,6]=>[{1},{2,5},{4},{3},{6}]=>[1,2,5,4,3,6]
[1,2,5,3,6,2]=>[{1},{2,6},{4},{3},{5}]=>[1,2,6,4,3,5]
[1,2,5,6,2,3]=>[{1},{2,5},{6},{3},{4}]=>[1,2,5,6,3,4]
[1,2,5,6,3,2]=>[{1},{2,6},{5},{3},{4}]=>[1,2,6,5,3,4]
[1,2,6,2,3,5]=>[{1},{2,4},{5},{6},{3}]=>[1,2,4,5,6,3]
[1,2,6,2,5,3]=>[{1},{2,4},{6},{5},{3}]=>[1,2,4,6,5,3]
[1,2,6,3,2,5]=>[{1},{2,5},{4},{6},{3}]=>[1,2,5,4,6,3]
[1,2,6,3,5,2]=>[{1},{2,6},{4},{5},{3}]=>[1,2,6,4,5,3]
[1,2,6,5,2,3]=>[{1},{2,5},{6},{4},{3}]=>[1,2,5,6,4,3]
[1,2,6,5,3,2]=>[{1},{2,6},{5},{4},{3}]=>[1,2,6,5,4,3]
[1,3,2,2,5,6]=>[{1},{3,4},{2},{5},{6}]=>[1,3,4,2,5,6]
[1,3,2,2,6,5]=>[{1},{3,4},{2},{6},{5}]=>[1,3,4,2,6,5]
[1,3,2,5,2,6]=>[{1},{3,5},{2},{4},{6}]=>[1,3,5,2,4,6]
[1,3,2,5,6,2]=>[{1},{3,6},{2},{4},{5}]=>[1,3,6,2,4,5]
[1,3,2,6,2,5]=>[{1},{3,5},{2},{6},{4}]=>[1,3,5,2,6,4]
[1,3,2,6,5,2]=>[{1},{3,6},{2},{5},{4}]=>[1,3,6,2,5,4]
[1,3,5,2,2,6]=>[{1},{4,5},{2},{3},{6}]=>[1,4,5,2,3,6]
[1,3,5,2,6,2]=>[{1},{4,6},{2},{3},{5}]=>[1,4,6,2,3,5]
[1,3,5,6,2,2]=>[{1},{5,6},{2},{3},{4}]=>[1,5,6,2,3,4]
[1,3,6,2,2,5]=>[{1},{4,5},{2},{6},{3}]=>[1,4,5,2,6,3]
[1,3,6,2,5,2]=>[{1},{4,6},{2},{5},{3}]=>[1,4,6,2,5,3]
[1,3,6,5,2,2]=>[{1},{5,6},{2},{4},{3}]=>[1,5,6,2,4,3]
[1,5,2,2,3,6]=>[{1},{3,4},{5},{2},{6}]=>[1,3,4,5,2,6]
[1,5,2,2,6,3]=>[{1},{3,4},{6},{2},{5}]=>[1,3,4,6,2,5]
[1,5,2,3,2,6]=>[{1},{3,5},{4},{2},{6}]=>[1,3,5,4,2,6]
[1,5,2,3,6,2]=>[{1},{3,6},{4},{2},{5}]=>[1,3,6,4,2,5]
[1,5,2,6,2,3]=>[{1},{3,5},{6},{2},{4}]=>[1,3,5,6,2,4]
[1,5,2,6,3,2]=>[{1},{3,6},{5},{2},{4}]=>[1,3,6,5,2,4]
[1,5,3,2,2,6]=>[{1},{4,5},{3},{2},{6}]=>[1,4,5,3,2,6]
[1,5,3,2,6,2]=>[{1},{4,6},{3},{2},{5}]=>[1,4,6,3,2,5]
[1,5,3,6,2,2]=>[{1},{5,6},{3},{2},{4}]=>[1,5,6,3,2,4]
[1,5,6,2,2,3]=>[{1},{4,5},{6},{2},{3}]=>[1,4,5,6,2,3]
[1,5,6,2,3,2]=>[{1},{4,6},{5},{2},{3}]=>[1,4,6,5,2,3]
[1,5,6,3,2,2]=>[{1},{5,6},{4},{2},{3}]=>[1,5,6,4,2,3]
[1,6,2,2,3,5]=>[{1},{3,4},{5},{6},{2}]=>[1,3,4,5,6,2]
[1,6,2,2,5,3]=>[{1},{3,4},{6},{5},{2}]=>[1,3,4,6,5,2]
[1,6,2,3,2,5]=>[{1},{3,5},{4},{6},{2}]=>[1,3,5,4,6,2]
[1,6,2,3,5,2]=>[{1},{3,6},{4},{5},{2}]=>[1,3,6,4,5,2]
[1,6,2,5,2,3]=>[{1},{3,5},{6},{4},{2}]=>[1,3,5,6,4,2]
[1,6,2,5,3,2]=>[{1},{3,6},{5},{4},{2}]=>[1,3,6,5,4,2]
[1,6,3,2,2,5]=>[{1},{4,5},{3},{6},{2}]=>[1,4,5,3,6,2]
[1,6,3,2,5,2]=>[{1},{4,6},{3},{5},{2}]=>[1,4,6,3,5,2]
[1,6,3,5,2,2]=>[{1},{5,6},{3},{4},{2}]=>[1,5,6,3,4,2]
[1,6,5,2,2,3]=>[{1},{4,5},{6},{3},{2}]=>[1,4,5,6,3,2]
[1,6,5,2,3,2]=>[{1},{4,6},{5},{3},{2}]=>[1,4,6,5,3,2]
[1,6,5,3,2,2]=>[{1},{5,6},{4},{3},{2}]=>[1,5,6,4,3,2]
[2,1,2,3,5,6]=>[{2},{1,3},{4},{5},{6}]=>[2,1,3,4,5,6]
[2,1,2,3,6,5]=>[{2},{1,3},{4},{6},{5}]=>[2,1,3,4,6,5]
[2,1,2,5,3,6]=>[{2},{1,3},{5},{4},{6}]=>[2,1,3,5,4,6]
[2,1,2,5,6,3]=>[{2},{1,3},{6},{4},{5}]=>[2,1,3,6,4,5]
[2,1,2,6,3,5]=>[{2},{1,3},{5},{6},{4}]=>[2,1,3,5,6,4]
[2,1,2,6,5,3]=>[{2},{1,3},{6},{5},{4}]=>[2,1,3,6,5,4]
[2,1,3,2,5,6]=>[{2},{1,4},{3},{5},{6}]=>[2,1,4,3,5,6]
[2,1,3,2,6,5]=>[{2},{1,4},{3},{6},{5}]=>[2,1,4,3,6,5]
[2,1,3,5,2,6]=>[{2},{1,5},{3},{4},{6}]=>[2,1,5,3,4,6]
[2,1,3,5,6,2]=>[{2},{1,6},{3},{4},{5}]=>[2,1,6,3,4,5]
[2,1,3,6,2,5]=>[{2},{1,5},{3},{6},{4}]=>[2,1,5,3,6,4]
[2,1,3,6,5,2]=>[{2},{1,6},{3},{5},{4}]=>[2,1,6,3,5,4]
[2,1,5,2,3,6]=>[{2},{1,4},{5},{3},{6}]=>[2,1,4,5,3,6]
[2,1,5,2,6,3]=>[{2},{1,4},{6},{3},{5}]=>[2,1,4,6,3,5]
[2,1,5,3,2,6]=>[{2},{1,5},{4},{3},{6}]=>[2,1,5,4,3,6]
[2,1,5,3,6,2]=>[{2},{1,6},{4},{3},{5}]=>[2,1,6,4,3,5]
[2,1,5,6,2,3]=>[{2},{1,5},{6},{3},{4}]=>[2,1,5,6,3,4]
[2,1,5,6,3,2]=>[{2},{1,6},{5},{3},{4}]=>[2,1,6,5,3,4]
[2,1,6,2,3,5]=>[{2},{1,4},{5},{6},{3}]=>[2,1,4,5,6,3]
[2,1,6,2,5,3]=>[{2},{1,4},{6},{5},{3}]=>[2,1,4,6,5,3]
[2,1,6,3,2,5]=>[{2},{1,5},{4},{6},{3}]=>[2,1,5,4,6,3]
[2,1,6,3,5,2]=>[{2},{1,6},{4},{5},{3}]=>[2,1,6,4,5,3]
[2,1,6,5,2,3]=>[{2},{1,5},{6},{4},{3}]=>[2,1,5,6,4,3]
[2,1,6,5,3,2]=>[{2},{1,6},{5},{4},{3}]=>[2,1,6,5,4,3]
[2,2,1,3,5,6]=>[{3},{1,2},{4},{5},{6}]=>[3,1,2,4,5,6]
[2,2,1,3,6,5]=>[{3},{1,2},{4},{6},{5}]=>[3,1,2,4,6,5]
[2,2,1,5,3,6]=>[{3},{1,2},{5},{4},{6}]=>[3,1,2,5,4,6]
[2,2,1,5,6,3]=>[{3},{1,2},{6},{4},{5}]=>[3,1,2,6,4,5]
[2,2,1,6,3,5]=>[{3},{1,2},{5},{6},{4}]=>[3,1,2,5,6,4]
[2,2,1,6,5,3]=>[{3},{1,2},{6},{5},{4}]=>[3,1,2,6,5,4]
[2,2,3,1,5,6]=>[{4},{1,2},{3},{5},{6}]=>[4,1,2,3,5,6]
[2,2,3,1,6,5]=>[{4},{1,2},{3},{6},{5}]=>[4,1,2,3,6,5]
[2,2,3,5,1,6]=>[{5},{1,2},{3},{4},{6}]=>[5,1,2,3,4,6]
[2,2,3,5,6,1]=>[{6},{1,2},{3},{4},{5}]=>[6,1,2,3,4,5]
[2,2,3,6,1,5]=>[{5},{1,2},{3},{6},{4}]=>[5,1,2,3,6,4]
[2,2,3,6,5,1]=>[{6},{1,2},{3},{5},{4}]=>[6,1,2,3,5,4]
[2,2,5,1,3,6]=>[{4},{1,2},{5},{3},{6}]=>[4,1,2,5,3,6]
[2,2,5,1,6,3]=>[{4},{1,2},{6},{3},{5}]=>[4,1,2,6,3,5]
[2,2,5,3,1,6]=>[{5},{1,2},{4},{3},{6}]=>[5,1,2,4,3,6]
[2,2,5,3,6,1]=>[{6},{1,2},{4},{3},{5}]=>[6,1,2,4,3,5]
[2,2,5,6,1,3]=>[{5},{1,2},{6},{3},{4}]=>[5,1,2,6,3,4]
[2,2,5,6,3,1]=>[{6},{1,2},{5},{3},{4}]=>[6,1,2,5,3,4]
[2,2,6,1,3,5]=>[{4},{1,2},{5},{6},{3}]=>[4,1,2,5,6,3]
[2,2,6,1,5,3]=>[{4},{1,2},{6},{5},{3}]=>[4,1,2,6,5,3]
[2,2,6,3,1,5]=>[{5},{1,2},{4},{6},{3}]=>[5,1,2,4,6,3]
[2,2,6,3,5,1]=>[{6},{1,2},{4},{5},{3}]=>[6,1,2,4,5,3]
[2,2,6,5,1,3]=>[{5},{1,2},{6},{4},{3}]=>[5,1,2,6,4,3]
[2,2,6,5,3,1]=>[{6},{1,2},{5},{4},{3}]=>[6,1,2,5,4,3]
[2,3,1,2,5,6]=>[{3},{1,4},{2},{5},{6}]=>[3,1,4,2,5,6]
[2,3,1,2,6,5]=>[{3},{1,4},{2},{6},{5}]=>[3,1,4,2,6,5]
[2,3,1,5,2,6]=>[{3},{1,5},{2},{4},{6}]=>[3,1,5,2,4,6]
[2,3,1,5,6,2]=>[{3},{1,6},{2},{4},{5}]=>[3,1,6,2,4,5]
[2,3,1,6,2,5]=>[{3},{1,5},{2},{6},{4}]=>[3,1,5,2,6,4]
[2,3,1,6,5,2]=>[{3},{1,6},{2},{5},{4}]=>[3,1,6,2,5,4]
[2,3,2,1,5,6]=>[{4},{1,3},{2},{5},{6}]=>[4,1,3,2,5,6]
[2,3,2,1,6,5]=>[{4},{1,3},{2},{6},{5}]=>[4,1,3,2,6,5]
[2,3,2,5,1,6]=>[{5},{1,3},{2},{4},{6}]=>[5,1,3,2,4,6]
[2,3,2,5,6,1]=>[{6},{1,3},{2},{4},{5}]=>[6,1,3,2,4,5]
[2,3,2,6,1,5]=>[{5},{1,3},{2},{6},{4}]=>[5,1,3,2,6,4]
[2,3,2,6,5,1]=>[{6},{1,3},{2},{5},{4}]=>[6,1,3,2,5,4]
[2,3,5,1,2,6]=>[{4},{1,5},{2},{3},{6}]=>[4,1,5,2,3,6]
[2,3,5,1,6,2]=>[{4},{1,6},{2},{3},{5}]=>[4,1,6,2,3,5]
[2,3,5,2,1,6]=>[{5},{1,4},{2},{3},{6}]=>[5,1,4,2,3,6]
[2,3,5,2,6,1]=>[{6},{1,4},{2},{3},{5}]=>[6,1,4,2,3,5]
[2,3,5,6,1,2]=>[{5},{1,6},{2},{3},{4}]=>[5,1,6,2,3,4]
[2,3,5,6,2,1]=>[{6},{1,5},{2},{3},{4}]=>[6,1,5,2,3,4]
[2,3,6,1,2,5]=>[{4},{1,5},{2},{6},{3}]=>[4,1,5,2,6,3]
[2,3,6,1,5,2]=>[{4},{1,6},{2},{5},{3}]=>[4,1,6,2,5,3]
[2,3,6,2,1,5]=>[{5},{1,4},{2},{6},{3}]=>[5,1,4,2,6,3]
[2,3,6,2,5,1]=>[{6},{1,4},{2},{5},{3}]=>[6,1,4,2,5,3]
[2,3,6,5,1,2]=>[{5},{1,6},{2},{4},{3}]=>[5,1,6,2,4,3]
[2,3,6,5,2,1]=>[{6},{1,5},{2},{4},{3}]=>[6,1,5,2,4,3]
[2,5,1,2,3,6]=>[{3},{1,4},{5},{2},{6}]=>[3,1,4,5,2,6]
[2,5,1,2,6,3]=>[{3},{1,4},{6},{2},{5}]=>[3,1,4,6,2,5]
[2,5,1,3,2,6]=>[{3},{1,5},{4},{2},{6}]=>[3,1,5,4,2,6]
[2,5,1,3,6,2]=>[{3},{1,6},{4},{2},{5}]=>[3,1,6,4,2,5]
[2,5,1,6,2,3]=>[{3},{1,5},{6},{2},{4}]=>[3,1,5,6,2,4]
[2,5,1,6,3,2]=>[{3},{1,6},{5},{2},{4}]=>[3,1,6,5,2,4]
[2,5,2,1,3,6]=>[{4},{1,3},{5},{2},{6}]=>[4,1,3,5,2,6]
[2,5,2,1,6,3]=>[{4},{1,3},{6},{2},{5}]=>[4,1,3,6,2,5]
[2,5,2,3,1,6]=>[{5},{1,3},{4},{2},{6}]=>[5,1,3,4,2,6]
[2,5,2,3,6,1]=>[{6},{1,3},{4},{2},{5}]=>[6,1,3,4,2,5]
[2,5,2,6,1,3]=>[{5},{1,3},{6},{2},{4}]=>[5,1,3,6,2,4]
[2,5,2,6,3,1]=>[{6},{1,3},{5},{2},{4}]=>[6,1,3,5,2,4]
[2,5,3,1,2,6]=>[{4},{1,5},{3},{2},{6}]=>[4,1,5,3,2,6]
[2,5,3,1,6,2]=>[{4},{1,6},{3},{2},{5}]=>[4,1,6,3,2,5]
[2,5,3,2,1,6]=>[{5},{1,4},{3},{2},{6}]=>[5,1,4,3,2,6]
[2,5,3,2,6,1]=>[{6},{1,4},{3},{2},{5}]=>[6,1,4,3,2,5]
[2,5,3,6,1,2]=>[{5},{1,6},{3},{2},{4}]=>[5,1,6,3,2,4]
[2,5,3,6,2,1]=>[{6},{1,5},{3},{2},{4}]=>[6,1,5,3,2,4]
[2,5,6,1,2,3]=>[{4},{1,5},{6},{2},{3}]=>[4,1,5,6,2,3]
[2,5,6,1,3,2]=>[{4},{1,6},{5},{2},{3}]=>[4,1,6,5,2,3]
[2,5,6,2,1,3]=>[{5},{1,4},{6},{2},{3}]=>[5,1,4,6,2,3]
[2,5,6,2,3,1]=>[{6},{1,4},{5},{2},{3}]=>[6,1,4,5,2,3]
[2,5,6,3,1,2]=>[{5},{1,6},{4},{2},{3}]=>[5,1,6,4,2,3]
[2,5,6,3,2,1]=>[{6},{1,5},{4},{2},{3}]=>[6,1,5,4,2,3]
[2,6,1,2,3,5]=>[{3},{1,4},{5},{6},{2}]=>[3,1,4,5,6,2]
[2,6,1,2,5,3]=>[{3},{1,4},{6},{5},{2}]=>[3,1,4,6,5,2]
[2,6,1,3,2,5]=>[{3},{1,5},{4},{6},{2}]=>[3,1,5,4,6,2]
[2,6,1,3,5,2]=>[{3},{1,6},{4},{5},{2}]=>[3,1,6,4,5,2]
[2,6,1,5,2,3]=>[{3},{1,5},{6},{4},{2}]=>[3,1,5,6,4,2]
[2,6,1,5,3,2]=>[{3},{1,6},{5},{4},{2}]=>[3,1,6,5,4,2]
[2,6,2,1,3,5]=>[{4},{1,3},{5},{6},{2}]=>[4,1,3,5,6,2]
[2,6,2,1,5,3]=>[{4},{1,3},{6},{5},{2}]=>[4,1,3,6,5,2]
[2,6,2,3,1,5]=>[{5},{1,3},{4},{6},{2}]=>[5,1,3,4,6,2]
[2,6,2,3,5,1]=>[{6},{1,3},{4},{5},{2}]=>[6,1,3,4,5,2]
[2,6,2,5,1,3]=>[{5},{1,3},{6},{4},{2}]=>[5,1,3,6,4,2]
[2,6,2,5,3,1]=>[{6},{1,3},{5},{4},{2}]=>[6,1,3,5,4,2]
[2,6,3,1,2,5]=>[{4},{1,5},{3},{6},{2}]=>[4,1,5,3,6,2]
[2,6,3,1,5,2]=>[{4},{1,6},{3},{5},{2}]=>[4,1,6,3,5,2]
[2,6,3,2,1,5]=>[{5},{1,4},{3},{6},{2}]=>[5,1,4,3,6,2]
[2,6,3,2,5,1]=>[{6},{1,4},{3},{5},{2}]=>[6,1,4,3,5,2]
[2,6,3,5,1,2]=>[{5},{1,6},{3},{4},{2}]=>[5,1,6,3,4,2]
[2,6,3,5,2,1]=>[{6},{1,5},{3},{4},{2}]=>[6,1,5,3,4,2]
[2,6,5,1,2,3]=>[{4},{1,5},{6},{3},{2}]=>[4,1,5,6,3,2]
[2,6,5,1,3,2]=>[{4},{1,6},{5},{3},{2}]=>[4,1,6,5,3,2]
[2,6,5,2,1,3]=>[{5},{1,4},{6},{3},{2}]=>[5,1,4,6,3,2]
[2,6,5,2,3,1]=>[{6},{1,4},{5},{3},{2}]=>[6,1,4,5,3,2]
[2,6,5,3,1,2]=>[{5},{1,6},{4},{3},{2}]=>[5,1,6,4,3,2]
[2,6,5,3,2,1]=>[{6},{1,5},{4},{3},{2}]=>[6,1,5,4,3,2]
[3,1,2,2,5,6]=>[{2},{3,4},{1},{5},{6}]=>[2,3,4,1,5,6]
[3,1,2,2,6,5]=>[{2},{3,4},{1},{6},{5}]=>[2,3,4,1,6,5]
[3,1,2,5,2,6]=>[{2},{3,5},{1},{4},{6}]=>[2,3,5,1,4,6]
[3,1,2,5,6,2]=>[{2},{3,6},{1},{4},{5}]=>[2,3,6,1,4,5]
[3,1,2,6,2,5]=>[{2},{3,5},{1},{6},{4}]=>[2,3,5,1,6,4]
[3,1,2,6,5,2]=>[{2},{3,6},{1},{5},{4}]=>[2,3,6,1,5,4]
[3,1,5,2,2,6]=>[{2},{4,5},{1},{3},{6}]=>[2,4,5,1,3,6]
[3,1,5,2,6,2]=>[{2},{4,6},{1},{3},{5}]=>[2,4,6,1,3,5]
[3,1,5,6,2,2]=>[{2},{5,6},{1},{3},{4}]=>[2,5,6,1,3,4]
[3,1,6,2,2,5]=>[{2},{4,5},{1},{6},{3}]=>[2,4,5,1,6,3]
[3,1,6,2,5,2]=>[{2},{4,6},{1},{5},{3}]=>[2,4,6,1,5,3]
[3,1,6,5,2,2]=>[{2},{5,6},{1},{4},{3}]=>[2,5,6,1,4,3]
[3,2,1,2,5,6]=>[{3},{2,4},{1},{5},{6}]=>[3,2,4,1,5,6]
[3,2,1,2,6,5]=>[{3},{2,4},{1},{6},{5}]=>[3,2,4,1,6,5]
[3,2,1,5,2,6]=>[{3},{2,5},{1},{4},{6}]=>[3,2,5,1,4,6]
[3,2,1,5,6,2]=>[{3},{2,6},{1},{4},{5}]=>[3,2,6,1,4,5]
[3,2,1,6,2,5]=>[{3},{2,5},{1},{6},{4}]=>[3,2,5,1,6,4]
[3,2,1,6,5,2]=>[{3},{2,6},{1},{5},{4}]=>[3,2,6,1,5,4]
[3,2,2,1,5,6]=>[{4},{2,3},{1},{5},{6}]=>[4,2,3,1,5,6]
[3,2,2,1,6,5]=>[{4},{2,3},{1},{6},{5}]=>[4,2,3,1,6,5]
[3,2,2,5,1,6]=>[{5},{2,3},{1},{4},{6}]=>[5,2,3,1,4,6]
[3,2,2,5,6,1]=>[{6},{2,3},{1},{4},{5}]=>[6,2,3,1,4,5]
[3,2,2,6,1,5]=>[{5},{2,3},{1},{6},{4}]=>[5,2,3,1,6,4]
[3,2,2,6,5,1]=>[{6},{2,3},{1},{5},{4}]=>[6,2,3,1,5,4]
[3,2,5,1,2,6]=>[{4},{2,5},{1},{3},{6}]=>[4,2,5,1,3,6]
[3,2,5,1,6,2]=>[{4},{2,6},{1},{3},{5}]=>[4,2,6,1,3,5]
[3,2,5,2,1,6]=>[{5},{2,4},{1},{3},{6}]=>[5,2,4,1,3,6]
[3,2,5,2,6,1]=>[{6},{2,4},{1},{3},{5}]=>[6,2,4,1,3,5]
[3,2,5,6,1,2]=>[{5},{2,6},{1},{3},{4}]=>[5,2,6,1,3,4]
[3,2,5,6,2,1]=>[{6},{2,5},{1},{3},{4}]=>[6,2,5,1,3,4]
[3,2,6,1,2,5]=>[{4},{2,5},{1},{6},{3}]=>[4,2,5,1,6,3]
[3,2,6,1,5,2]=>[{4},{2,6},{1},{5},{3}]=>[4,2,6,1,5,3]
[3,2,6,2,1,5]=>[{5},{2,4},{1},{6},{3}]=>[5,2,4,1,6,3]
[3,2,6,2,5,1]=>[{6},{2,4},{1},{5},{3}]=>[6,2,4,1,5,3]
[3,2,6,5,1,2]=>[{5},{2,6},{1},{4},{3}]=>[5,2,6,1,4,3]
[3,2,6,5,2,1]=>[{6},{2,5},{1},{4},{3}]=>[6,2,5,1,4,3]
[3,5,1,2,2,6]=>[{3},{4,5},{1},{2},{6}]=>[3,4,5,1,2,6]
[3,5,1,2,6,2]=>[{3},{4,6},{1},{2},{5}]=>[3,4,6,1,2,5]
[3,5,1,6,2,2]=>[{3},{5,6},{1},{2},{4}]=>[3,5,6,1,2,4]
[3,5,2,1,2,6]=>[{4},{3,5},{1},{2},{6}]=>[4,3,5,1,2,6]
[3,5,2,1,6,2]=>[{4},{3,6},{1},{2},{5}]=>[4,3,6,1,2,5]
[3,5,2,2,1,6]=>[{5},{3,4},{1},{2},{6}]=>[5,3,4,1,2,6]
[3,5,2,2,6,1]=>[{6},{3,4},{1},{2},{5}]=>[6,3,4,1,2,5]
[3,5,2,6,1,2]=>[{5},{3,6},{1},{2},{4}]=>[5,3,6,1,2,4]
[3,5,2,6,2,1]=>[{6},{3,5},{1},{2},{4}]=>[6,3,5,1,2,4]
[3,5,6,1,2,2]=>[{4},{5,6},{1},{2},{3}]=>[4,5,6,1,2,3]
[3,5,6,2,1,2]=>[{5},{4,6},{1},{2},{3}]=>[5,4,6,1,2,3]
[3,5,6,2,2,1]=>[{6},{4,5},{1},{2},{3}]=>[6,4,5,1,2,3]
[3,6,1,2,2,5]=>[{3},{4,5},{1},{6},{2}]=>[3,4,5,1,6,2]
[3,6,1,2,5,2]=>[{3},{4,6},{1},{5},{2}]=>[3,4,6,1,5,2]
[3,6,1,5,2,2]=>[{3},{5,6},{1},{4},{2}]=>[3,5,6,1,4,2]
[3,6,2,1,2,5]=>[{4},{3,5},{1},{6},{2}]=>[4,3,5,1,6,2]
[3,6,2,1,5,2]=>[{4},{3,6},{1},{5},{2}]=>[4,3,6,1,5,2]
[3,6,2,2,1,5]=>[{5},{3,4},{1},{6},{2}]=>[5,3,4,1,6,2]
[3,6,2,2,5,1]=>[{6},{3,4},{1},{5},{2}]=>[6,3,4,1,5,2]
[3,6,2,5,1,2]=>[{5},{3,6},{1},{4},{2}]=>[5,3,6,1,4,2]
[3,6,2,5,2,1]=>[{6},{3,5},{1},{4},{2}]=>[6,3,5,1,4,2]
[3,6,5,1,2,2]=>[{4},{5,6},{1},{3},{2}]=>[4,5,6,1,3,2]
[3,6,5,2,1,2]=>[{5},{4,6},{1},{3},{2}]=>[5,4,6,1,3,2]
[3,6,5,2,2,1]=>[{6},{4,5},{1},{3},{2}]=>[6,4,5,1,3,2]
[5,1,2,2,3,6]=>[{2},{3,4},{5},{1},{6}]=>[2,3,4,5,1,6]
[5,1,2,2,6,3]=>[{2},{3,4},{6},{1},{5}]=>[2,3,4,6,1,5]
[5,1,2,3,2,6]=>[{2},{3,5},{4},{1},{6}]=>[2,3,5,4,1,6]
[5,1,2,3,6,2]=>[{2},{3,6},{4},{1},{5}]=>[2,3,6,4,1,5]
[5,1,2,6,2,3]=>[{2},{3,5},{6},{1},{4}]=>[2,3,5,6,1,4]
[5,1,2,6,3,2]=>[{2},{3,6},{5},{1},{4}]=>[2,3,6,5,1,4]
[5,1,3,2,2,6]=>[{2},{4,5},{3},{1},{6}]=>[2,4,5,3,1,6]
[5,1,3,2,6,2]=>[{2},{4,6},{3},{1},{5}]=>[2,4,6,3,1,5]
[5,1,3,6,2,2]=>[{2},{5,6},{3},{1},{4}]=>[2,5,6,3,1,4]
[5,1,6,2,2,3]=>[{2},{4,5},{6},{1},{3}]=>[2,4,5,6,1,3]
[5,1,6,2,3,2]=>[{2},{4,6},{5},{1},{3}]=>[2,4,6,5,1,3]
[5,1,6,3,2,2]=>[{2},{5,6},{4},{1},{3}]=>[2,5,6,4,1,3]
[5,2,1,2,3,6]=>[{3},{2,4},{5},{1},{6}]=>[3,2,4,5,1,6]
[5,2,1,2,6,3]=>[{3},{2,4},{6},{1},{5}]=>[3,2,4,6,1,5]
[5,2,1,3,2,6]=>[{3},{2,5},{4},{1},{6}]=>[3,2,5,4,1,6]
[5,2,1,3,6,2]=>[{3},{2,6},{4},{1},{5}]=>[3,2,6,4,1,5]
[5,2,1,6,2,3]=>[{3},{2,5},{6},{1},{4}]=>[3,2,5,6,1,4]
[5,2,1,6,3,2]=>[{3},{2,6},{5},{1},{4}]=>[3,2,6,5,1,4]
[5,2,2,1,3,6]=>[{4},{2,3},{5},{1},{6}]=>[4,2,3,5,1,6]
[5,2,2,1,6,3]=>[{4},{2,3},{6},{1},{5}]=>[4,2,3,6,1,5]
[5,2,2,3,1,6]=>[{5},{2,3},{4},{1},{6}]=>[5,2,3,4,1,6]
[5,2,2,3,6,1]=>[{6},{2,3},{4},{1},{5}]=>[6,2,3,4,1,5]
[5,2,2,6,1,3]=>[{5},{2,3},{6},{1},{4}]=>[5,2,3,6,1,4]
[5,2,2,6,3,1]=>[{6},{2,3},{5},{1},{4}]=>[6,2,3,5,1,4]
[5,2,3,1,2,6]=>[{4},{2,5},{3},{1},{6}]=>[4,2,5,3,1,6]
[5,2,3,1,6,2]=>[{4},{2,6},{3},{1},{5}]=>[4,2,6,3,1,5]
[5,2,3,2,1,6]=>[{5},{2,4},{3},{1},{6}]=>[5,2,4,3,1,6]
[5,2,3,2,6,1]=>[{6},{2,4},{3},{1},{5}]=>[6,2,4,3,1,5]
[5,2,3,6,1,2]=>[{5},{2,6},{3},{1},{4}]=>[5,2,6,3,1,4]
[5,2,3,6,2,1]=>[{6},{2,5},{3},{1},{4}]=>[6,2,5,3,1,4]
[5,2,6,1,2,3]=>[{4},{2,5},{6},{1},{3}]=>[4,2,5,6,1,3]
[5,2,6,1,3,2]=>[{4},{2,6},{5},{1},{3}]=>[4,2,6,5,1,3]
[5,2,6,2,1,3]=>[{5},{2,4},{6},{1},{3}]=>[5,2,4,6,1,3]
[5,2,6,2,3,1]=>[{6},{2,4},{5},{1},{3}]=>[6,2,4,5,1,3]
[5,2,6,3,1,2]=>[{5},{2,6},{4},{1},{3}]=>[5,2,6,4,1,3]
[5,2,6,3,2,1]=>[{6},{2,5},{4},{1},{3}]=>[6,2,5,4,1,3]
[5,3,1,2,2,6]=>[{3},{4,5},{2},{1},{6}]=>[3,4,5,2,1,6]
[5,3,1,2,6,2]=>[{3},{4,6},{2},{1},{5}]=>[3,4,6,2,1,5]
[5,3,1,6,2,2]=>[{3},{5,6},{2},{1},{4}]=>[3,5,6,2,1,4]
[5,3,2,1,2,6]=>[{4},{3,5},{2},{1},{6}]=>[4,3,5,2,1,6]
[5,3,2,1,6,2]=>[{4},{3,6},{2},{1},{5}]=>[4,3,6,2,1,5]
[5,3,2,2,1,6]=>[{5},{3,4},{2},{1},{6}]=>[5,3,4,2,1,6]
[5,3,2,2,6,1]=>[{6},{3,4},{2},{1},{5}]=>[6,3,4,2,1,5]
[5,3,2,6,1,2]=>[{5},{3,6},{2},{1},{4}]=>[5,3,6,2,1,4]
[5,3,2,6,2,1]=>[{6},{3,5},{2},{1},{4}]=>[6,3,5,2,1,4]
[5,3,6,1,2,2]=>[{4},{5,6},{2},{1},{3}]=>[4,5,6,2,1,3]
[5,3,6,2,1,2]=>[{5},{4,6},{2},{1},{3}]=>[5,4,6,2,1,3]
[5,3,6,2,2,1]=>[{6},{4,5},{2},{1},{3}]=>[6,4,5,2,1,3]
[5,6,1,2,2,3]=>[{3},{4,5},{6},{1},{2}]=>[3,4,5,6,1,2]
[5,6,1,2,3,2]=>[{3},{4,6},{5},{1},{2}]=>[3,4,6,5,1,2]
[5,6,1,3,2,2]=>[{3},{5,6},{4},{1},{2}]=>[3,5,6,4,1,2]
[5,6,2,1,2,3]=>[{4},{3,5},{6},{1},{2}]=>[4,3,5,6,1,2]
[5,6,2,1,3,2]=>[{4},{3,6},{5},{1},{2}]=>[4,3,6,5,1,2]
[5,6,2,2,1,3]=>[{5},{3,4},{6},{1},{2}]=>[5,3,4,6,1,2]
[5,6,2,2,3,1]=>[{6},{3,4},{5},{1},{2}]=>[6,3,4,5,1,2]
[5,6,2,3,1,2]=>[{5},{3,6},{4},{1},{2}]=>[5,3,6,4,1,2]
[5,6,2,3,2,1]=>[{6},{3,5},{4},{1},{2}]=>[6,3,5,4,1,2]
[5,6,3,1,2,2]=>[{4},{5,6},{3},{1},{2}]=>[4,5,6,3,1,2]
[5,6,3,2,1,2]=>[{5},{4,6},{3},{1},{2}]=>[5,4,6,3,1,2]
[5,6,3,2,2,1]=>[{6},{4,5},{3},{1},{2}]=>[6,4,5,3,1,2]
[6,1,2,2,3,5]=>[{2},{3,4},{5},{6},{1}]=>[2,3,4,5,6,1]
[6,1,2,2,5,3]=>[{2},{3,4},{6},{5},{1}]=>[2,3,4,6,5,1]
[6,1,2,3,2,5]=>[{2},{3,5},{4},{6},{1}]=>[2,3,5,4,6,1]
[6,1,2,3,5,2]=>[{2},{3,6},{4},{5},{1}]=>[2,3,6,4,5,1]
[6,1,2,5,2,3]=>[{2},{3,5},{6},{4},{1}]=>[2,3,5,6,4,1]
[6,1,2,5,3,2]=>[{2},{3,6},{5},{4},{1}]=>[2,3,6,5,4,1]
[6,1,3,2,2,5]=>[{2},{4,5},{3},{6},{1}]=>[2,4,5,3,6,1]
[6,1,3,2,5,2]=>[{2},{4,6},{3},{5},{1}]=>[2,4,6,3,5,1]
[6,1,3,5,2,2]=>[{2},{5,6},{3},{4},{1}]=>[2,5,6,3,4,1]
[6,1,5,2,2,3]=>[{2},{4,5},{6},{3},{1}]=>[2,4,5,6,3,1]
[6,1,5,2,3,2]=>[{2},{4,6},{5},{3},{1}]=>[2,4,6,5,3,1]
[6,1,5,3,2,2]=>[{2},{5,6},{4},{3},{1}]=>[2,5,6,4,3,1]
[6,2,1,2,3,5]=>[{3},{2,4},{5},{6},{1}]=>[3,2,4,5,6,1]
[6,2,1,2,5,3]=>[{3},{2,4},{6},{5},{1}]=>[3,2,4,6,5,1]
[6,2,1,3,2,5]=>[{3},{2,5},{4},{6},{1}]=>[3,2,5,4,6,1]
[6,2,1,3,5,2]=>[{3},{2,6},{4},{5},{1}]=>[3,2,6,4,5,1]
[6,2,1,5,2,3]=>[{3},{2,5},{6},{4},{1}]=>[3,2,5,6,4,1]
[6,2,1,5,3,2]=>[{3},{2,6},{5},{4},{1}]=>[3,2,6,5,4,1]
[6,2,2,1,3,5]=>[{4},{2,3},{5},{6},{1}]=>[4,2,3,5,6,1]
[6,2,2,1,5,3]=>[{4},{2,3},{6},{5},{1}]=>[4,2,3,6,5,1]
[6,2,2,3,1,5]=>[{5},{2,3},{4},{6},{1}]=>[5,2,3,4,6,1]
[6,2,2,3,5,1]=>[{6},{2,3},{4},{5},{1}]=>[6,2,3,4,5,1]
[6,2,2,5,1,3]=>[{5},{2,3},{6},{4},{1}]=>[5,2,3,6,4,1]
[6,2,2,5,3,1]=>[{6},{2,3},{5},{4},{1}]=>[6,2,3,5,4,1]
[6,2,3,1,2,5]=>[{4},{2,5},{3},{6},{1}]=>[4,2,5,3,6,1]
[6,2,3,1,5,2]=>[{4},{2,6},{3},{5},{1}]=>[4,2,6,3,5,1]
[6,2,3,2,1,5]=>[{5},{2,4},{3},{6},{1}]=>[5,2,4,3,6,1]
[6,2,3,2,5,1]=>[{6},{2,4},{3},{5},{1}]=>[6,2,4,3,5,1]
[6,2,3,5,1,2]=>[{5},{2,6},{3},{4},{1}]=>[5,2,6,3,4,1]
[6,2,3,5,2,1]=>[{6},{2,5},{3},{4},{1}]=>[6,2,5,3,4,1]
[6,2,5,1,2,3]=>[{4},{2,5},{6},{3},{1}]=>[4,2,5,6,3,1]
[6,2,5,1,3,2]=>[{4},{2,6},{5},{3},{1}]=>[4,2,6,5,3,1]
[6,2,5,2,1,3]=>[{5},{2,4},{6},{3},{1}]=>[5,2,4,6,3,1]
[6,2,5,2,3,1]=>[{6},{2,4},{5},{3},{1}]=>[6,2,4,5,3,1]
[6,2,5,3,1,2]=>[{5},{2,6},{4},{3},{1}]=>[5,2,6,4,3,1]
[6,2,5,3,2,1]=>[{6},{2,5},{4},{3},{1}]=>[6,2,5,4,3,1]
[6,3,1,2,2,5]=>[{3},{4,5},{2},{6},{1}]=>[3,4,5,2,6,1]
[6,3,1,2,5,2]=>[{3},{4,6},{2},{5},{1}]=>[3,4,6,2,5,1]
[6,3,1,5,2,2]=>[{3},{5,6},{2},{4},{1}]=>[3,5,6,2,4,1]
[6,3,2,1,2,5]=>[{4},{3,5},{2},{6},{1}]=>[4,3,5,2,6,1]
[6,3,2,1,5,2]=>[{4},{3,6},{2},{5},{1}]=>[4,3,6,2,5,1]
[6,3,2,2,1,5]=>[{5},{3,4},{2},{6},{1}]=>[5,3,4,2,6,1]
[6,3,2,2,5,1]=>[{6},{3,4},{2},{5},{1}]=>[6,3,4,2,5,1]
[6,3,2,5,1,2]=>[{5},{3,6},{2},{4},{1}]=>[5,3,6,2,4,1]
[6,3,2,5,2,1]=>[{6},{3,5},{2},{4},{1}]=>[6,3,5,2,4,1]
[6,3,5,1,2,2]=>[{4},{5,6},{2},{3},{1}]=>[4,5,6,2,3,1]
[6,3,5,2,1,2]=>[{5},{4,6},{2},{3},{1}]=>[5,4,6,2,3,1]
[6,3,5,2,2,1]=>[{6},{4,5},{2},{3},{1}]=>[6,4,5,2,3,1]
[6,5,1,2,2,3]=>[{3},{4,5},{6},{2},{1}]=>[3,4,5,6,2,1]
[6,5,1,2,3,2]=>[{3},{4,6},{5},{2},{1}]=>[3,4,6,5,2,1]
[6,5,1,3,2,2]=>[{3},{5,6},{4},{2},{1}]=>[3,5,6,4,2,1]
[6,5,2,1,2,3]=>[{4},{3,5},{6},{2},{1}]=>[4,3,5,6,2,1]
[6,5,2,1,3,2]=>[{4},{3,6},{5},{2},{1}]=>[4,3,6,5,2,1]
[6,5,2,2,1,3]=>[{5},{3,4},{6},{2},{1}]=>[5,3,4,6,2,1]
[6,5,2,2,3,1]=>[{6},{3,4},{5},{2},{1}]=>[6,3,4,5,2,1]
[6,5,2,3,1,2]=>[{5},{3,6},{4},{2},{1}]=>[5,3,6,4,2,1]
[6,5,2,3,2,1]=>[{6},{3,5},{4},{2},{1}]=>[6,3,5,4,2,1]
[6,5,3,1,2,2]=>[{4},{5,6},{3},{2},{1}]=>[4,5,6,3,2,1]
[6,5,3,2,1,2]=>[{5},{4,6},{3},{2},{1}]=>[5,4,6,3,2,1]
[6,5,3,2,2,1]=>[{6},{4,5},{3},{2},{1}]=>[6,4,5,3,2,1]
[1,2,2,4,4,4]=>[{1},{2,3},{4,5,6}]=>[1,2,3,4,5,6]
[1,2,4,2,4,4]=>[{1},{2,4},{3,5,6}]=>[1,2,4,3,5,6]
[1,2,4,4,2,4]=>[{1},{2,5},{3,4,6}]=>[1,2,5,3,4,6]
[1,2,4,4,4,2]=>[{1},{2,6},{3,4,5}]=>[1,2,6,3,4,5]
[1,4,2,2,4,4]=>[{1},{3,4},{2,5,6}]=>[1,3,4,2,5,6]
[1,4,2,4,2,4]=>[{1},{3,5},{2,4,6}]=>[1,3,5,2,4,6]
[1,4,2,4,4,2]=>[{1},{3,6},{2,4,5}]=>[1,3,6,2,4,5]
[1,4,4,2,2,4]=>[{1},{4,5},{2,3,6}]=>[1,4,5,2,3,6]
[1,4,4,2,4,2]=>[{1},{4,6},{2,3,5}]=>[1,4,6,2,3,5]
[1,4,4,4,2,2]=>[{1},{5,6},{2,3,4}]=>[1,5,6,2,3,4]
[2,1,2,4,4,4]=>[{2},{1,3},{4,5,6}]=>[2,1,3,4,5,6]
[2,1,4,2,4,4]=>[{2},{1,4},{3,5,6}]=>[2,1,4,3,5,6]
[2,1,4,4,2,4]=>[{2},{1,5},{3,4,6}]=>[2,1,5,3,4,6]
[2,1,4,4,4,2]=>[{2},{1,6},{3,4,5}]=>[2,1,6,3,4,5]
[2,2,1,4,4,4]=>[{3},{1,2},{4,5,6}]=>[3,1,2,4,5,6]
[2,2,4,1,4,4]=>[{4},{1,2},{3,5,6}]=>[4,1,2,3,5,6]
[2,2,4,4,1,4]=>[{5},{1,2},{3,4,6}]=>[5,1,2,3,4,6]
[2,2,4,4,4,1]=>[{6},{1,2},{3,4,5}]=>[6,1,2,3,4,5]
[2,4,1,2,4,4]=>[{3},{1,4},{2,5,6}]=>[3,1,4,2,5,6]
[2,4,1,4,2,4]=>[{3},{1,5},{2,4,6}]=>[3,1,5,2,4,6]
[2,4,1,4,4,2]=>[{3},{1,6},{2,4,5}]=>[3,1,6,2,4,5]
[2,4,2,1,4,4]=>[{4},{1,3},{2,5,6}]=>[4,1,3,2,5,6]
[2,4,2,4,1,4]=>[{5},{1,3},{2,4,6}]=>[5,1,3,2,4,6]
[2,4,2,4,4,1]=>[{6},{1,3},{2,4,5}]=>[6,1,3,2,4,5]
[2,4,4,1,2,4]=>[{4},{1,5},{2,3,6}]=>[4,1,5,2,3,6]
[2,4,4,1,4,2]=>[{4},{1,6},{2,3,5}]=>[4,1,6,2,3,5]
[2,4,4,2,1,4]=>[{5},{1,4},{2,3,6}]=>[5,1,4,2,3,6]
[2,4,4,2,4,1]=>[{6},{1,4},{2,3,5}]=>[6,1,4,2,3,5]
[2,4,4,4,1,2]=>[{5},{1,6},{2,3,4}]=>[5,1,6,2,3,4]
[2,4,4,4,2,1]=>[{6},{1,5},{2,3,4}]=>[6,1,5,2,3,4]
[4,1,2,2,4,4]=>[{2},{3,4},{1,5,6}]=>[2,3,4,1,5,6]
[4,1,2,4,2,4]=>[{2},{3,5},{1,4,6}]=>[2,3,5,1,4,6]
[4,1,2,4,4,2]=>[{2},{3,6},{1,4,5}]=>[2,3,6,1,4,5]
[4,1,4,2,2,4]=>[{2},{4,5},{1,3,6}]=>[2,4,5,1,3,6]
[4,1,4,2,4,2]=>[{2},{4,6},{1,3,5}]=>[2,4,6,1,3,5]
[4,1,4,4,2,2]=>[{2},{5,6},{1,3,4}]=>[2,5,6,1,3,4]
[4,2,1,2,4,4]=>[{3},{2,4},{1,5,6}]=>[3,2,4,1,5,6]
[4,2,1,4,2,4]=>[{3},{2,5},{1,4,6}]=>[3,2,5,1,4,6]
[4,2,1,4,4,2]=>[{3},{2,6},{1,4,5}]=>[3,2,6,1,4,5]
[4,2,2,1,4,4]=>[{4},{2,3},{1,5,6}]=>[4,2,3,1,5,6]
[4,2,2,4,1,4]=>[{5},{2,3},{1,4,6}]=>[5,2,3,1,4,6]
[4,2,2,4,4,1]=>[{6},{2,3},{1,4,5}]=>[6,2,3,1,4,5]
[4,2,4,1,2,4]=>[{4},{2,5},{1,3,6}]=>[4,2,5,1,3,6]
[4,2,4,1,4,2]=>[{4},{2,6},{1,3,5}]=>[4,2,6,1,3,5]
[4,2,4,2,1,4]=>[{5},{2,4},{1,3,6}]=>[5,2,4,1,3,6]
[4,2,4,2,4,1]=>[{6},{2,4},{1,3,5}]=>[6,2,4,1,3,5]
[4,2,4,4,1,2]=>[{5},{2,6},{1,3,4}]=>[5,2,6,1,3,4]
[4,2,4,4,2,1]=>[{6},{2,5},{1,3,4}]=>[6,2,5,1,3,4]
[4,4,1,2,2,4]=>[{3},{4,5},{1,2,6}]=>[3,4,5,1,2,6]
[4,4,1,2,4,2]=>[{3},{4,6},{1,2,5}]=>[3,4,6,1,2,5]
[4,4,1,4,2,2]=>[{3},{5,6},{1,2,4}]=>[3,5,6,1,2,4]
[4,4,2,1,2,4]=>[{4},{3,5},{1,2,6}]=>[4,3,5,1,2,6]
[4,4,2,1,4,2]=>[{4},{3,6},{1,2,5}]=>[4,3,6,1,2,5]
[4,4,2,2,1,4]=>[{5},{3,4},{1,2,6}]=>[5,3,4,1,2,6]
[4,4,2,2,4,1]=>[{6},{3,4},{1,2,5}]=>[6,3,4,1,2,5]
[4,4,2,4,1,2]=>[{5},{3,6},{1,2,4}]=>[5,3,6,1,2,4]
[4,4,2,4,2,1]=>[{6},{3,5},{1,2,4}]=>[6,3,5,1,2,4]
[4,4,4,1,2,2]=>[{4},{5,6},{1,2,3}]=>[4,5,6,1,2,3]
[4,4,4,2,1,2]=>[{5},{4,6},{1,2,3}]=>[5,4,6,1,2,3]
[4,4,4,2,2,1]=>[{6},{4,5},{1,2,3}]=>[6,4,5,1,2,3]
[1,2,2,4,4,5]=>[{1},{2,3},{4,5},{6}]=>[1,2,3,4,5,6]
[1,2,2,4,5,4]=>[{1},{2,3},{4,6},{5}]=>[1,2,3,4,6,5]
[1,2,2,5,4,4]=>[{1},{2,3},{5,6},{4}]=>[1,2,3,5,6,4]
[1,2,4,2,4,5]=>[{1},{2,4},{3,5},{6}]=>[1,2,4,3,5,6]
[1,2,4,2,5,4]=>[{1},{2,4},{3,6},{5}]=>[1,2,4,3,6,5]
[1,2,4,4,2,5]=>[{1},{2,5},{3,4},{6}]=>[1,2,5,3,4,6]
[1,2,4,4,5,2]=>[{1},{2,6},{3,4},{5}]=>[1,2,6,3,4,5]
[1,2,4,5,2,4]=>[{1},{2,5},{3,6},{4}]=>[1,2,5,3,6,4]
[1,2,4,5,4,2]=>[{1},{2,6},{3,5},{4}]=>[1,2,6,3,5,4]
[1,2,5,2,4,4]=>[{1},{2,4},{5,6},{3}]=>[1,2,4,5,6,3]
[1,2,5,4,2,4]=>[{1},{2,5},{4,6},{3}]=>[1,2,5,4,6,3]
[1,2,5,4,4,2]=>[{1},{2,6},{4,5},{3}]=>[1,2,6,4,5,3]
[1,4,2,2,4,5]=>[{1},{3,4},{2,5},{6}]=>[1,3,4,2,5,6]
[1,4,2,2,5,4]=>[{1},{3,4},{2,6},{5}]=>[1,3,4,2,6,5]
[1,4,2,4,2,5]=>[{1},{3,5},{2,4},{6}]=>[1,3,5,2,4,6]
[1,4,2,4,5,2]=>[{1},{3,6},{2,4},{5}]=>[1,3,6,2,4,5]
[1,4,2,5,2,4]=>[{1},{3,5},{2,6},{4}]=>[1,3,5,2,6,4]
[1,4,2,5,4,2]=>[{1},{3,6},{2,5},{4}]=>[1,3,6,2,5,4]
[1,4,4,2,2,5]=>[{1},{4,5},{2,3},{6}]=>[1,4,5,2,3,6]
[1,4,4,2,5,2]=>[{1},{4,6},{2,3},{5}]=>[1,4,6,2,3,5]
[1,4,4,5,2,2]=>[{1},{5,6},{2,3},{4}]=>[1,5,6,2,3,4]
[1,4,5,2,2,4]=>[{1},{4,5},{2,6},{3}]=>[1,4,5,2,6,3]
[1,4,5,2,4,2]=>[{1},{4,6},{2,5},{3}]=>[1,4,6,2,5,3]
[1,4,5,4,2,2]=>[{1},{5,6},{2,4},{3}]=>[1,5,6,2,4,3]
[1,5,2,2,4,4]=>[{1},{3,4},{5,6},{2}]=>[1,3,4,5,6,2]
[1,5,2,4,2,4]=>[{1},{3,5},{4,6},{2}]=>[1,3,5,4,6,2]
[1,5,2,4,4,2]=>[{1},{3,6},{4,5},{2}]=>[1,3,6,4,5,2]
[1,5,4,2,2,4]=>[{1},{4,5},{3,6},{2}]=>[1,4,5,3,6,2]
[1,5,4,2,4,2]=>[{1},{4,6},{3,5},{2}]=>[1,4,6,3,5,2]
[1,5,4,4,2,2]=>[{1},{5,6},{3,4},{2}]=>[1,5,6,3,4,2]
[2,1,2,4,4,5]=>[{2},{1,3},{4,5},{6}]=>[2,1,3,4,5,6]
[2,1,2,4,5,4]=>[{2},{1,3},{4,6},{5}]=>[2,1,3,4,6,5]
[2,1,2,5,4,4]=>[{2},{1,3},{5,6},{4}]=>[2,1,3,5,6,4]
[2,1,4,2,4,5]=>[{2},{1,4},{3,5},{6}]=>[2,1,4,3,5,6]
[2,1,4,2,5,4]=>[{2},{1,4},{3,6},{5}]=>[2,1,4,3,6,5]
[2,1,4,4,2,5]=>[{2},{1,5},{3,4},{6}]=>[2,1,5,3,4,6]
[2,1,4,4,5,2]=>[{2},{1,6},{3,4},{5}]=>[2,1,6,3,4,5]
[2,1,4,5,2,4]=>[{2},{1,5},{3,6},{4}]=>[2,1,5,3,6,4]
[2,1,4,5,4,2]=>[{2},{1,6},{3,5},{4}]=>[2,1,6,3,5,4]
[2,1,5,2,4,4]=>[{2},{1,4},{5,6},{3}]=>[2,1,4,5,6,3]
[2,1,5,4,2,4]=>[{2},{1,5},{4,6},{3}]=>[2,1,5,4,6,3]
[2,1,5,4,4,2]=>[{2},{1,6},{4,5},{3}]=>[2,1,6,4,5,3]
[2,2,1,4,4,5]=>[{3},{1,2},{4,5},{6}]=>[3,1,2,4,5,6]
[2,2,1,4,5,4]=>[{3},{1,2},{4,6},{5}]=>[3,1,2,4,6,5]
[2,2,1,5,4,4]=>[{3},{1,2},{5,6},{4}]=>[3,1,2,5,6,4]
[2,2,4,1,4,5]=>[{4},{1,2},{3,5},{6}]=>[4,1,2,3,5,6]
[2,2,4,1,5,4]=>[{4},{1,2},{3,6},{5}]=>[4,1,2,3,6,5]
[2,2,4,4,1,5]=>[{5},{1,2},{3,4},{6}]=>[5,1,2,3,4,6]
[2,2,4,4,5,1]=>[{6},{1,2},{3,4},{5}]=>[6,1,2,3,4,5]
[2,2,4,5,1,4]=>[{5},{1,2},{3,6},{4}]=>[5,1,2,3,6,4]
[2,2,4,5,4,1]=>[{6},{1,2},{3,5},{4}]=>[6,1,2,3,5,4]
[2,2,5,1,4,4]=>[{4},{1,2},{5,6},{3}]=>[4,1,2,5,6,3]
[2,2,5,4,1,4]=>[{5},{1,2},{4,6},{3}]=>[5,1,2,4,6,3]
[2,2,5,4,4,1]=>[{6},{1,2},{4,5},{3}]=>[6,1,2,4,5,3]
[2,4,1,2,4,5]=>[{3},{1,4},{2,5},{6}]=>[3,1,4,2,5,6]
[2,4,1,2,5,4]=>[{3},{1,4},{2,6},{5}]=>[3,1,4,2,6,5]
[2,4,1,4,2,5]=>[{3},{1,5},{2,4},{6}]=>[3,1,5,2,4,6]
[2,4,1,4,5,2]=>[{3},{1,6},{2,4},{5}]=>[3,1,6,2,4,5]
[2,4,1,5,2,4]=>[{3},{1,5},{2,6},{4}]=>[3,1,5,2,6,4]
[2,4,1,5,4,2]=>[{3},{1,6},{2,5},{4}]=>[3,1,6,2,5,4]
[2,4,2,1,4,5]=>[{4},{1,3},{2,5},{6}]=>[4,1,3,2,5,6]
[2,4,2,1,5,4]=>[{4},{1,3},{2,6},{5}]=>[4,1,3,2,6,5]
[2,4,2,4,1,5]=>[{5},{1,3},{2,4},{6}]=>[5,1,3,2,4,6]
[2,4,2,4,5,1]=>[{6},{1,3},{2,4},{5}]=>[6,1,3,2,4,5]
[2,4,2,5,1,4]=>[{5},{1,3},{2,6},{4}]=>[5,1,3,2,6,4]
[2,4,2,5,4,1]=>[{6},{1,3},{2,5},{4}]=>[6,1,3,2,5,4]
[2,4,4,1,2,5]=>[{4},{1,5},{2,3},{6}]=>[4,1,5,2,3,6]
[2,4,4,1,5,2]=>[{4},{1,6},{2,3},{5}]=>[4,1,6,2,3,5]
[2,4,4,2,1,5]=>[{5},{1,4},{2,3},{6}]=>[5,1,4,2,3,6]
[2,4,4,2,5,1]=>[{6},{1,4},{2,3},{5}]=>[6,1,4,2,3,5]
[2,4,4,5,1,2]=>[{5},{1,6},{2,3},{4}]=>[5,1,6,2,3,4]
[2,4,4,5,2,1]=>[{6},{1,5},{2,3},{4}]=>[6,1,5,2,3,4]
[2,4,5,1,2,4]=>[{4},{1,5},{2,6},{3}]=>[4,1,5,2,6,3]
[2,4,5,1,4,2]=>[{4},{1,6},{2,5},{3}]=>[4,1,6,2,5,3]
[2,4,5,2,1,4]=>[{5},{1,4},{2,6},{3}]=>[5,1,4,2,6,3]
[2,4,5,2,4,1]=>[{6},{1,4},{2,5},{3}]=>[6,1,4,2,5,3]
[2,4,5,4,1,2]=>[{5},{1,6},{2,4},{3}]=>[5,1,6,2,4,3]
[2,4,5,4,2,1]=>[{6},{1,5},{2,4},{3}]=>[6,1,5,2,4,3]
[2,5,1,2,4,4]=>[{3},{1,4},{5,6},{2}]=>[3,1,4,5,6,2]
[2,5,1,4,2,4]=>[{3},{1,5},{4,6},{2}]=>[3,1,5,4,6,2]
[2,5,1,4,4,2]=>[{3},{1,6},{4,5},{2}]=>[3,1,6,4,5,2]
[2,5,2,1,4,4]=>[{4},{1,3},{5,6},{2}]=>[4,1,3,5,6,2]
[2,5,2,4,1,4]=>[{5},{1,3},{4,6},{2}]=>[5,1,3,4,6,2]
[2,5,2,4,4,1]=>[{6},{1,3},{4,5},{2}]=>[6,1,3,4,5,2]
[2,5,4,1,2,4]=>[{4},{1,5},{3,6},{2}]=>[4,1,5,3,6,2]
[2,5,4,1,4,2]=>[{4},{1,6},{3,5},{2}]=>[4,1,6,3,5,2]
[2,5,4,2,1,4]=>[{5},{1,4},{3,6},{2}]=>[5,1,4,3,6,2]
[2,5,4,2,4,1]=>[{6},{1,4},{3,5},{2}]=>[6,1,4,3,5,2]
[2,5,4,4,1,2]=>[{5},{1,6},{3,4},{2}]=>[5,1,6,3,4,2]
[2,5,4,4,2,1]=>[{6},{1,5},{3,4},{2}]=>[6,1,5,3,4,2]
[4,1,2,2,4,5]=>[{2},{3,4},{1,5},{6}]=>[2,3,4,1,5,6]
[4,1,2,2,5,4]=>[{2},{3,4},{1,6},{5}]=>[2,3,4,1,6,5]
[4,1,2,4,2,5]=>[{2},{3,5},{1,4},{6}]=>[2,3,5,1,4,6]
[4,1,2,4,5,2]=>[{2},{3,6},{1,4},{5}]=>[2,3,6,1,4,5]
[4,1,2,5,2,4]=>[{2},{3,5},{1,6},{4}]=>[2,3,5,1,6,4]
[4,1,2,5,4,2]=>[{2},{3,6},{1,5},{4}]=>[2,3,6,1,5,4]
[4,1,4,2,2,5]=>[{2},{4,5},{1,3},{6}]=>[2,4,5,1,3,6]
[4,1,4,2,5,2]=>[{2},{4,6},{1,3},{5}]=>[2,4,6,1,3,5]
[4,1,4,5,2,2]=>[{2},{5,6},{1,3},{4}]=>[2,5,6,1,3,4]
[4,1,5,2,2,4]=>[{2},{4,5},{1,6},{3}]=>[2,4,5,1,6,3]
[4,1,5,2,4,2]=>[{2},{4,6},{1,5},{3}]=>[2,4,6,1,5,3]
[4,1,5,4,2,2]=>[{2},{5,6},{1,4},{3}]=>[2,5,6,1,4,3]
[4,2,1,2,4,5]=>[{3},{2,4},{1,5},{6}]=>[3,2,4,1,5,6]
[4,2,1,2,5,4]=>[{3},{2,4},{1,6},{5}]=>[3,2,4,1,6,5]
[4,2,1,4,2,5]=>[{3},{2,5},{1,4},{6}]=>[3,2,5,1,4,6]
[4,2,1,4,5,2]=>[{3},{2,6},{1,4},{5}]=>[3,2,6,1,4,5]
[4,2,1,5,2,4]=>[{3},{2,5},{1,6},{4}]=>[3,2,5,1,6,4]
[4,2,1,5,4,2]=>[{3},{2,6},{1,5},{4}]=>[3,2,6,1,5,4]
[4,2,2,1,4,5]=>[{4},{2,3},{1,5},{6}]=>[4,2,3,1,5,6]
[4,2,2,1,5,4]=>[{4},{2,3},{1,6},{5}]=>[4,2,3,1,6,5]
[4,2,2,4,1,5]=>[{5},{2,3},{1,4},{6}]=>[5,2,3,1,4,6]
[4,2,2,4,5,1]=>[{6},{2,3},{1,4},{5}]=>[6,2,3,1,4,5]
[4,2,2,5,1,4]=>[{5},{2,3},{1,6},{4}]=>[5,2,3,1,6,4]
[4,2,2,5,4,1]=>[{6},{2,3},{1,5},{4}]=>[6,2,3,1,5,4]
[4,2,4,1,2,5]=>[{4},{2,5},{1,3},{6}]=>[4,2,5,1,3,6]
[4,2,4,1,5,2]=>[{4},{2,6},{1,3},{5}]=>[4,2,6,1,3,5]
[4,2,4,2,1,5]=>[{5},{2,4},{1,3},{6}]=>[5,2,4,1,3,6]
[4,2,4,2,5,1]=>[{6},{2,4},{1,3},{5}]=>[6,2,4,1,3,5]
[4,2,4,5,1,2]=>[{5},{2,6},{1,3},{4}]=>[5,2,6,1,3,4]
[4,2,4,5,2,1]=>[{6},{2,5},{1,3},{4}]=>[6,2,5,1,3,4]
[4,2,5,1,2,4]=>[{4},{2,5},{1,6},{3}]=>[4,2,5,1,6,3]
[4,2,5,1,4,2]=>[{4},{2,6},{1,5},{3}]=>[4,2,6,1,5,3]
[4,2,5,2,1,4]=>[{5},{2,4},{1,6},{3}]=>[5,2,4,1,6,3]
[4,2,5,2,4,1]=>[{6},{2,4},{1,5},{3}]=>[6,2,4,1,5,3]
[4,2,5,4,1,2]=>[{5},{2,6},{1,4},{3}]=>[5,2,6,1,4,3]
[4,2,5,4,2,1]=>[{6},{2,5},{1,4},{3}]=>[6,2,5,1,4,3]
[4,4,1,2,2,5]=>[{3},{4,5},{1,2},{6}]=>[3,4,5,1,2,6]
[4,4,1,2,5,2]=>[{3},{4,6},{1,2},{5}]=>[3,4,6,1,2,5]
[4,4,1,5,2,2]=>[{3},{5,6},{1,2},{4}]=>[3,5,6,1,2,4]
[4,4,2,1,2,5]=>[{4},{3,5},{1,2},{6}]=>[4,3,5,1,2,6]
[4,4,2,1,5,2]=>[{4},{3,6},{1,2},{5}]=>[4,3,6,1,2,5]
[4,4,2,2,1,5]=>[{5},{3,4},{1,2},{6}]=>[5,3,4,1,2,6]
[4,4,2,2,5,1]=>[{6},{3,4},{1,2},{5}]=>[6,3,4,1,2,5]
[4,4,2,5,1,2]=>[{5},{3,6},{1,2},{4}]=>[5,3,6,1,2,4]
[4,4,2,5,2,1]=>[{6},{3,5},{1,2},{4}]=>[6,3,5,1,2,4]
[4,4,5,1,2,2]=>[{4},{5,6},{1,2},{3}]=>[4,5,6,1,2,3]
[4,4,5,2,1,2]=>[{5},{4,6},{1,2},{3}]=>[5,4,6,1,2,3]
[4,4,5,2,2,1]=>[{6},{4,5},{1,2},{3}]=>[6,4,5,1,2,3]
[4,5,1,2,2,4]=>[{3},{4,5},{1,6},{2}]=>[3,4,5,1,6,2]
[4,5,1,2,4,2]=>[{3},{4,6},{1,5},{2}]=>[3,4,6,1,5,2]
[4,5,1,4,2,2]=>[{3},{5,6},{1,4},{2}]=>[3,5,6,1,4,2]
[4,5,2,1,2,4]=>[{4},{3,5},{1,6},{2}]=>[4,3,5,1,6,2]
[4,5,2,1,4,2]=>[{4},{3,6},{1,5},{2}]=>[4,3,6,1,5,2]
[4,5,2,2,1,4]=>[{5},{3,4},{1,6},{2}]=>[5,3,4,1,6,2]
[4,5,2,2,4,1]=>[{6},{3,4},{1,5},{2}]=>[6,3,4,1,5,2]
[4,5,2,4,1,2]=>[{5},{3,6},{1,4},{2}]=>[5,3,6,1,4,2]
[4,5,2,4,2,1]=>[{6},{3,5},{1,4},{2}]=>[6,3,5,1,4,2]
[4,5,4,1,2,2]=>[{4},{5,6},{1,3},{2}]=>[4,5,6,1,3,2]
[4,5,4,2,1,2]=>[{5},{4,6},{1,3},{2}]=>[5,4,6,1,3,2]
[4,5,4,2,2,1]=>[{6},{4,5},{1,3},{2}]=>[6,4,5,1,3,2]
[5,1,2,2,4,4]=>[{2},{3,4},{5,6},{1}]=>[2,3,4,5,6,1]
[5,1,2,4,2,4]=>[{2},{3,5},{4,6},{1}]=>[2,3,5,4,6,1]
[5,1,2,4,4,2]=>[{2},{3,6},{4,5},{1}]=>[2,3,6,4,5,1]
[5,1,4,2,2,4]=>[{2},{4,5},{3,6},{1}]=>[2,4,5,3,6,1]
[5,1,4,2,4,2]=>[{2},{4,6},{3,5},{1}]=>[2,4,6,3,5,1]
[5,1,4,4,2,2]=>[{2},{5,6},{3,4},{1}]=>[2,5,6,3,4,1]
[5,2,1,2,4,4]=>[{3},{2,4},{5,6},{1}]=>[3,2,4,5,6,1]
[5,2,1,4,2,4]=>[{3},{2,5},{4,6},{1}]=>[3,2,5,4,6,1]
[5,2,1,4,4,2]=>[{3},{2,6},{4,5},{1}]=>[3,2,6,4,5,1]
[5,2,2,1,4,4]=>[{4},{2,3},{5,6},{1}]=>[4,2,3,5,6,1]
[5,2,2,4,1,4]=>[{5},{2,3},{4,6},{1}]=>[5,2,3,4,6,1]
[5,2,2,4,4,1]=>[{6},{2,3},{4,5},{1}]=>[6,2,3,4,5,1]
[5,2,4,1,2,4]=>[{4},{2,5},{3,6},{1}]=>[4,2,5,3,6,1]
[5,2,4,1,4,2]=>[{4},{2,6},{3,5},{1}]=>[4,2,6,3,5,1]
[5,2,4,2,1,4]=>[{5},{2,4},{3,6},{1}]=>[5,2,4,3,6,1]
[5,2,4,2,4,1]=>[{6},{2,4},{3,5},{1}]=>[6,2,4,3,5,1]
[5,2,4,4,1,2]=>[{5},{2,6},{3,4},{1}]=>[5,2,6,3,4,1]
[5,2,4,4,2,1]=>[{6},{2,5},{3,4},{1}]=>[6,2,5,3,4,1]
[5,4,1,2,2,4]=>[{3},{4,5},{2,6},{1}]=>[3,4,5,2,6,1]
[5,4,1,2,4,2]=>[{3},{4,6},{2,5},{1}]=>[3,4,6,2,5,1]
[5,4,1,4,2,2]=>[{3},{5,6},{2,4},{1}]=>[3,5,6,2,4,1]
[5,4,2,1,2,4]=>[{4},{3,5},{2,6},{1}]=>[4,3,5,2,6,1]
[5,4,2,1,4,2]=>[{4},{3,6},{2,5},{1}]=>[4,3,6,2,5,1]
[5,4,2,2,1,4]=>[{5},{3,4},{2,6},{1}]=>[5,3,4,2,6,1]
[5,4,2,2,4,1]=>[{6},{3,4},{2,5},{1}]=>[6,3,4,2,5,1]
[5,4,2,4,1,2]=>[{5},{3,6},{2,4},{1}]=>[5,3,6,2,4,1]
[5,4,2,4,2,1]=>[{6},{3,5},{2,4},{1}]=>[6,3,5,2,4,1]
[5,4,4,1,2,2]=>[{4},{5,6},{2,3},{1}]=>[4,5,6,2,3,1]
[5,4,4,2,1,2]=>[{5},{4,6},{2,3},{1}]=>[5,4,6,2,3,1]
[5,4,4,2,2,1]=>[{6},{4,5},{2,3},{1}]=>[6,4,5,2,3,1]
[1,2,2,4,4,6]=>[{1},{2,3},{4,5},{6}]=>[1,2,3,4,5,6]
[1,2,2,4,6,4]=>[{1},{2,3},{4,6},{5}]=>[1,2,3,4,6,5]
[1,2,2,6,4,4]=>[{1},{2,3},{5,6},{4}]=>[1,2,3,5,6,4]
[1,2,4,2,4,6]=>[{1},{2,4},{3,5},{6}]=>[1,2,4,3,5,6]
[1,2,4,2,6,4]=>[{1},{2,4},{3,6},{5}]=>[1,2,4,3,6,5]
[1,2,4,4,2,6]=>[{1},{2,5},{3,4},{6}]=>[1,2,5,3,4,6]
[1,2,4,4,6,2]=>[{1},{2,6},{3,4},{5}]=>[1,2,6,3,4,5]
[1,2,4,6,2,4]=>[{1},{2,5},{3,6},{4}]=>[1,2,5,3,6,4]
[1,2,4,6,4,2]=>[{1},{2,6},{3,5},{4}]=>[1,2,6,3,5,4]
[1,2,6,2,4,4]=>[{1},{2,4},{5,6},{3}]=>[1,2,4,5,6,3]
[1,2,6,4,2,4]=>[{1},{2,5},{4,6},{3}]=>[1,2,5,4,6,3]
[1,2,6,4,4,2]=>[{1},{2,6},{4,5},{3}]=>[1,2,6,4,5,3]
[1,4,2,2,4,6]=>[{1},{3,4},{2,5},{6}]=>[1,3,4,2,5,6]
[1,4,2,2,6,4]=>[{1},{3,4},{2,6},{5}]=>[1,3,4,2,6,5]
[1,4,2,4,2,6]=>[{1},{3,5},{2,4},{6}]=>[1,3,5,2,4,6]
[1,4,2,4,6,2]=>[{1},{3,6},{2,4},{5}]=>[1,3,6,2,4,5]
[1,4,2,6,2,4]=>[{1},{3,5},{2,6},{4}]=>[1,3,5,2,6,4]
[1,4,2,6,4,2]=>[{1},{3,6},{2,5},{4}]=>[1,3,6,2,5,4]
[1,4,4,2,2,6]=>[{1},{4,5},{2,3},{6}]=>[1,4,5,2,3,6]
[1,4,4,2,6,2]=>[{1},{4,6},{2,3},{5}]=>[1,4,6,2,3,5]
[1,4,4,6,2,2]=>[{1},{5,6},{2,3},{4}]=>[1,5,6,2,3,4]
[1,4,6,2,2,4]=>[{1},{4,5},{2,6},{3}]=>[1,4,5,2,6,3]
[1,4,6,2,4,2]=>[{1},{4,6},{2,5},{3}]=>[1,4,6,2,5,3]
[1,4,6,4,2,2]=>[{1},{5,6},{2,4},{3}]=>[1,5,6,2,4,3]
[1,6,2,2,4,4]=>[{1},{3,4},{5,6},{2}]=>[1,3,4,5,6,2]
[1,6,2,4,2,4]=>[{1},{3,5},{4,6},{2}]=>[1,3,5,4,6,2]
[1,6,2,4,4,2]=>[{1},{3,6},{4,5},{2}]=>[1,3,6,4,5,2]
[1,6,4,2,2,4]=>[{1},{4,5},{3,6},{2}]=>[1,4,5,3,6,2]
[1,6,4,2,4,2]=>[{1},{4,6},{3,5},{2}]=>[1,4,6,3,5,2]
[1,6,4,4,2,2]=>[{1},{5,6},{3,4},{2}]=>[1,5,6,3,4,2]
[2,1,2,4,4,6]=>[{2},{1,3},{4,5},{6}]=>[2,1,3,4,5,6]
[2,1,2,4,6,4]=>[{2},{1,3},{4,6},{5}]=>[2,1,3,4,6,5]
[2,1,2,6,4,4]=>[{2},{1,3},{5,6},{4}]=>[2,1,3,5,6,4]
[2,1,4,2,4,6]=>[{2},{1,4},{3,5},{6}]=>[2,1,4,3,5,6]
[2,1,4,2,6,4]=>[{2},{1,4},{3,6},{5}]=>[2,1,4,3,6,5]
[2,1,4,4,2,6]=>[{2},{1,5},{3,4},{6}]=>[2,1,5,3,4,6]
[2,1,4,4,6,2]=>[{2},{1,6},{3,4},{5}]=>[2,1,6,3,4,5]
[2,1,4,6,2,4]=>[{2},{1,5},{3,6},{4}]=>[2,1,5,3,6,4]
[2,1,4,6,4,2]=>[{2},{1,6},{3,5},{4}]=>[2,1,6,3,5,4]
[2,1,6,2,4,4]=>[{2},{1,4},{5,6},{3}]=>[2,1,4,5,6,3]
[2,1,6,4,2,4]=>[{2},{1,5},{4,6},{3}]=>[2,1,5,4,6,3]
[2,1,6,4,4,2]=>[{2},{1,6},{4,5},{3}]=>[2,1,6,4,5,3]
[2,2,1,4,4,6]=>[{3},{1,2},{4,5},{6}]=>[3,1,2,4,5,6]
[2,2,1,4,6,4]=>[{3},{1,2},{4,6},{5}]=>[3,1,2,4,6,5]
[2,2,1,6,4,4]=>[{3},{1,2},{5,6},{4}]=>[3,1,2,5,6,4]
[2,2,4,1,4,6]=>[{4},{1,2},{3,5},{6}]=>[4,1,2,3,5,6]
[2,2,4,1,6,4]=>[{4},{1,2},{3,6},{5}]=>[4,1,2,3,6,5]
[2,2,4,4,1,6]=>[{5},{1,2},{3,4},{6}]=>[5,1,2,3,4,6]
[2,2,4,4,6,1]=>[{6},{1,2},{3,4},{5}]=>[6,1,2,3,4,5]
[2,2,4,6,1,4]=>[{5},{1,2},{3,6},{4}]=>[5,1,2,3,6,4]
[2,2,4,6,4,1]=>[{6},{1,2},{3,5},{4}]=>[6,1,2,3,5,4]
[2,2,6,1,4,4]=>[{4},{1,2},{5,6},{3}]=>[4,1,2,5,6,3]
[2,2,6,4,1,4]=>[{5},{1,2},{4,6},{3}]=>[5,1,2,4,6,3]
[2,2,6,4,4,1]=>[{6},{1,2},{4,5},{3}]=>[6,1,2,4,5,3]
[2,4,1,2,4,6]=>[{3},{1,4},{2,5},{6}]=>[3,1,4,2,5,6]
[2,4,1,2,6,4]=>[{3},{1,4},{2,6},{5}]=>[3,1,4,2,6,5]
[2,4,1,4,2,6]=>[{3},{1,5},{2,4},{6}]=>[3,1,5,2,4,6]
[2,4,1,4,6,2]=>[{3},{1,6},{2,4},{5}]=>[3,1,6,2,4,5]
[2,4,1,6,2,4]=>[{3},{1,5},{2,6},{4}]=>[3,1,5,2,6,4]
[2,4,1,6,4,2]=>[{3},{1,6},{2,5},{4}]=>[3,1,6,2,5,4]
[2,4,2,1,4,6]=>[{4},{1,3},{2,5},{6}]=>[4,1,3,2,5,6]
[2,4,2,1,6,4]=>[{4},{1,3},{2,6},{5}]=>[4,1,3,2,6,5]
[2,4,2,4,1,6]=>[{5},{1,3},{2,4},{6}]=>[5,1,3,2,4,6]
[2,4,2,4,6,1]=>[{6},{1,3},{2,4},{5}]=>[6,1,3,2,4,5]
[2,4,2,6,1,4]=>[{5},{1,3},{2,6},{4}]=>[5,1,3,2,6,4]
[2,4,2,6,4,1]=>[{6},{1,3},{2,5},{4}]=>[6,1,3,2,5,4]
[2,4,4,1,2,6]=>[{4},{1,5},{2,3},{6}]=>[4,1,5,2,3,6]
[2,4,4,1,6,2]=>[{4},{1,6},{2,3},{5}]=>[4,1,6,2,3,5]
[2,4,4,2,1,6]=>[{5},{1,4},{2,3},{6}]=>[5,1,4,2,3,6]
[2,4,4,2,6,1]=>[{6},{1,4},{2,3},{5}]=>[6,1,4,2,3,5]
[2,4,4,6,1,2]=>[{5},{1,6},{2,3},{4}]=>[5,1,6,2,3,4]
[2,4,4,6,2,1]=>[{6},{1,5},{2,3},{4}]=>[6,1,5,2,3,4]
[2,4,6,1,2,4]=>[{4},{1,5},{2,6},{3}]=>[4,1,5,2,6,3]
[2,4,6,1,4,2]=>[{4},{1,6},{2,5},{3}]=>[4,1,6,2,5,3]
[2,4,6,2,1,4]=>[{5},{1,4},{2,6},{3}]=>[5,1,4,2,6,3]
[2,4,6,2,4,1]=>[{6},{1,4},{2,5},{3}]=>[6,1,4,2,5,3]
[2,4,6,4,1,2]=>[{5},{1,6},{2,4},{3}]=>[5,1,6,2,4,3]
[2,4,6,4,2,1]=>[{6},{1,5},{2,4},{3}]=>[6,1,5,2,4,3]
[2,6,1,2,4,4]=>[{3},{1,4},{5,6},{2}]=>[3,1,4,5,6,2]
[2,6,1,4,2,4]=>[{3},{1,5},{4,6},{2}]=>[3,1,5,4,6,2]
[2,6,1,4,4,2]=>[{3},{1,6},{4,5},{2}]=>[3,1,6,4,5,2]
[2,6,2,1,4,4]=>[{4},{1,3},{5,6},{2}]=>[4,1,3,5,6,2]
[2,6,2,4,1,4]=>[{5},{1,3},{4,6},{2}]=>[5,1,3,4,6,2]
[2,6,2,4,4,1]=>[{6},{1,3},{4,5},{2}]=>[6,1,3,4,5,2]
[2,6,4,1,2,4]=>[{4},{1,5},{3,6},{2}]=>[4,1,5,3,6,2]
[2,6,4,1,4,2]=>[{4},{1,6},{3,5},{2}]=>[4,1,6,3,5,2]
[2,6,4,2,1,4]=>[{5},{1,4},{3,6},{2}]=>[5,1,4,3,6,2]
[2,6,4,2,4,1]=>[{6},{1,4},{3,5},{2}]=>[6,1,4,3,5,2]
[2,6,4,4,1,2]=>[{5},{1,6},{3,4},{2}]=>[5,1,6,3,4,2]
[2,6,4,4,2,1]=>[{6},{1,5},{3,4},{2}]=>[6,1,5,3,4,2]
[4,1,2,2,4,6]=>[{2},{3,4},{1,5},{6}]=>[2,3,4,1,5,6]
[4,1,2,2,6,4]=>[{2},{3,4},{1,6},{5}]=>[2,3,4,1,6,5]
[4,1,2,4,2,6]=>[{2},{3,5},{1,4},{6}]=>[2,3,5,1,4,6]
[4,1,2,4,6,2]=>[{2},{3,6},{1,4},{5}]=>[2,3,6,1,4,5]
[4,1,2,6,2,4]=>[{2},{3,5},{1,6},{4}]=>[2,3,5,1,6,4]
[4,1,2,6,4,2]=>[{2},{3,6},{1,5},{4}]=>[2,3,6,1,5,4]
[4,1,4,2,2,6]=>[{2},{4,5},{1,3},{6}]=>[2,4,5,1,3,6]
[4,1,4,2,6,2]=>[{2},{4,6},{1,3},{5}]=>[2,4,6,1,3,5]
[4,1,4,6,2,2]=>[{2},{5,6},{1,3},{4}]=>[2,5,6,1,3,4]
[4,1,6,2,2,4]=>[{2},{4,5},{1,6},{3}]=>[2,4,5,1,6,3]
[4,1,6,2,4,2]=>[{2},{4,6},{1,5},{3}]=>[2,4,6,1,5,3]
[4,1,6,4,2,2]=>[{2},{5,6},{1,4},{3}]=>[2,5,6,1,4,3]
[4,2,1,2,4,6]=>[{3},{2,4},{1,5},{6}]=>[3,2,4,1,5,6]
[4,2,1,2,6,4]=>[{3},{2,4},{1,6},{5}]=>[3,2,4,1,6,5]
[4,2,1,4,2,6]=>[{3},{2,5},{1,4},{6}]=>[3,2,5,1,4,6]
[4,2,1,4,6,2]=>[{3},{2,6},{1,4},{5}]=>[3,2,6,1,4,5]
[4,2,1,6,2,4]=>[{3},{2,5},{1,6},{4}]=>[3,2,5,1,6,4]
[4,2,1,6,4,2]=>[{3},{2,6},{1,5},{4}]=>[3,2,6,1,5,4]
[4,2,2,1,4,6]=>[{4},{2,3},{1,5},{6}]=>[4,2,3,1,5,6]
[4,2,2,1,6,4]=>[{4},{2,3},{1,6},{5}]=>[4,2,3,1,6,5]
[4,2,2,4,1,6]=>[{5},{2,3},{1,4},{6}]=>[5,2,3,1,4,6]
[4,2,2,4,6,1]=>[{6},{2,3},{1,4},{5}]=>[6,2,3,1,4,5]
[4,2,2,6,1,4]=>[{5},{2,3},{1,6},{4}]=>[5,2,3,1,6,4]
[4,2,2,6,4,1]=>[{6},{2,3},{1,5},{4}]=>[6,2,3,1,5,4]
[4,2,4,1,2,6]=>[{4},{2,5},{1,3},{6}]=>[4,2,5,1,3,6]
[4,2,4,1,6,2]=>[{4},{2,6},{1,3},{5}]=>[4,2,6,1,3,5]
[4,2,4,2,1,6]=>[{5},{2,4},{1,3},{6}]=>[5,2,4,1,3,6]
[4,2,4,2,6,1]=>[{6},{2,4},{1,3},{5}]=>[6,2,4,1,3,5]
[4,2,4,6,1,2]=>[{5},{2,6},{1,3},{4}]=>[5,2,6,1,3,4]
[4,2,4,6,2,1]=>[{6},{2,5},{1,3},{4}]=>[6,2,5,1,3,4]
[4,2,6,1,2,4]=>[{4},{2,5},{1,6},{3}]=>[4,2,5,1,6,3]
[4,2,6,1,4,2]=>[{4},{2,6},{1,5},{3}]=>[4,2,6,1,5,3]
[4,2,6,2,1,4]=>[{5},{2,4},{1,6},{3}]=>[5,2,4,1,6,3]
[4,2,6,2,4,1]=>[{6},{2,4},{1,5},{3}]=>[6,2,4,1,5,3]
[4,2,6,4,1,2]=>[{5},{2,6},{1,4},{3}]=>[5,2,6,1,4,3]
[4,2,6,4,2,1]=>[{6},{2,5},{1,4},{3}]=>[6,2,5,1,4,3]
[4,4,1,2,2,6]=>[{3},{4,5},{1,2},{6}]=>[3,4,5,1,2,6]
[4,4,1,2,6,2]=>[{3},{4,6},{1,2},{5}]=>[3,4,6,1,2,5]
[4,4,1,6,2,2]=>[{3},{5,6},{1,2},{4}]=>[3,5,6,1,2,4]
[4,4,2,1,2,6]=>[{4},{3,5},{1,2},{6}]=>[4,3,5,1,2,6]
[4,4,2,1,6,2]=>[{4},{3,6},{1,2},{5}]=>[4,3,6,1,2,5]
[4,4,2,2,1,6]=>[{5},{3,4},{1,2},{6}]=>[5,3,4,1,2,6]
[4,4,2,2,6,1]=>[{6},{3,4},{1,2},{5}]=>[6,3,4,1,2,5]
[4,4,2,6,1,2]=>[{5},{3,6},{1,2},{4}]=>[5,3,6,1,2,4]
[4,4,2,6,2,1]=>[{6},{3,5},{1,2},{4}]=>[6,3,5,1,2,4]
[4,4,6,1,2,2]=>[{4},{5,6},{1,2},{3}]=>[4,5,6,1,2,3]
[4,4,6,2,1,2]=>[{5},{4,6},{1,2},{3}]=>[5,4,6,1,2,3]
[4,4,6,2,2,1]=>[{6},{4,5},{1,2},{3}]=>[6,4,5,1,2,3]
[4,6,1,2,2,4]=>[{3},{4,5},{1,6},{2}]=>[3,4,5,1,6,2]
[4,6,1,2,4,2]=>[{3},{4,6},{1,5},{2}]=>[3,4,6,1,5,2]
[4,6,1,4,2,2]=>[{3},{5,6},{1,4},{2}]=>[3,5,6,1,4,2]
[4,6,2,1,2,4]=>[{4},{3,5},{1,6},{2}]=>[4,3,5,1,6,2]
[4,6,2,1,4,2]=>[{4},{3,6},{1,5},{2}]=>[4,3,6,1,5,2]
[4,6,2,2,1,4]=>[{5},{3,4},{1,6},{2}]=>[5,3,4,1,6,2]
[4,6,2,2,4,1]=>[{6},{3,4},{1,5},{2}]=>[6,3,4,1,5,2]
[4,6,2,4,1,2]=>[{5},{3,6},{1,4},{2}]=>[5,3,6,1,4,2]
[4,6,2,4,2,1]=>[{6},{3,5},{1,4},{2}]=>[6,3,5,1,4,2]
[4,6,4,1,2,2]=>[{4},{5,6},{1,3},{2}]=>[4,5,6,1,3,2]
[4,6,4,2,1,2]=>[{5},{4,6},{1,3},{2}]=>[5,4,6,1,3,2]
[4,6,4,2,2,1]=>[{6},{4,5},{1,3},{2}]=>[6,4,5,1,3,2]
[6,1,2,2,4,4]=>[{2},{3,4},{5,6},{1}]=>[2,3,4,5,6,1]
[6,1,2,4,2,4]=>[{2},{3,5},{4,6},{1}]=>[2,3,5,4,6,1]
[6,1,2,4,4,2]=>[{2},{3,6},{4,5},{1}]=>[2,3,6,4,5,1]
[6,1,4,2,2,4]=>[{2},{4,5},{3,6},{1}]=>[2,4,5,3,6,1]
[6,1,4,2,4,2]=>[{2},{4,6},{3,5},{1}]=>[2,4,6,3,5,1]
[6,1,4,4,2,2]=>[{2},{5,6},{3,4},{1}]=>[2,5,6,3,4,1]
[6,2,1,2,4,4]=>[{3},{2,4},{5,6},{1}]=>[3,2,4,5,6,1]
[6,2,1,4,2,4]=>[{3},{2,5},{4,6},{1}]=>[3,2,5,4,6,1]
[6,2,1,4,4,2]=>[{3},{2,6},{4,5},{1}]=>[3,2,6,4,5,1]
[6,2,2,1,4,4]=>[{4},{2,3},{5,6},{1}]=>[4,2,3,5,6,1]
[6,2,2,4,1,4]=>[{5},{2,3},{4,6},{1}]=>[5,2,3,4,6,1]
[6,2,2,4,4,1]=>[{6},{2,3},{4,5},{1}]=>[6,2,3,4,5,1]
[6,2,4,1,2,4]=>[{4},{2,5},{3,6},{1}]=>[4,2,5,3,6,1]
[6,2,4,1,4,2]=>[{4},{2,6},{3,5},{1}]=>[4,2,6,3,5,1]
[6,2,4,2,1,4]=>[{5},{2,4},{3,6},{1}]=>[5,2,4,3,6,1]
[6,2,4,2,4,1]=>[{6},{2,4},{3,5},{1}]=>[6,2,4,3,5,1]
[6,2,4,4,1,2]=>[{5},{2,6},{3,4},{1}]=>[5,2,6,3,4,1]
[6,2,4,4,2,1]=>[{6},{2,5},{3,4},{1}]=>[6,2,5,3,4,1]
[6,4,1,2,2,4]=>[{3},{4,5},{2,6},{1}]=>[3,4,5,2,6,1]
[6,4,1,2,4,2]=>[{3},{4,6},{2,5},{1}]=>[3,4,6,2,5,1]
[6,4,1,4,2,2]=>[{3},{5,6},{2,4},{1}]=>[3,5,6,2,4,1]
[6,4,2,1,2,4]=>[{4},{3,5},{2,6},{1}]=>[4,3,5,2,6,1]
[6,4,2,1,4,2]=>[{4},{3,6},{2,5},{1}]=>[4,3,6,2,5,1]
[6,4,2,2,1,4]=>[{5},{3,4},{2,6},{1}]=>[5,3,4,2,6,1]
[6,4,2,2,4,1]=>[{6},{3,4},{2,5},{1}]=>[6,3,4,2,5,1]
[6,4,2,4,1,2]=>[{5},{3,6},{2,4},{1}]=>[5,3,6,2,4,1]
[6,4,2,4,2,1]=>[{6},{3,5},{2,4},{1}]=>[6,3,5,2,4,1]
[6,4,4,1,2,2]=>[{4},{5,6},{2,3},{1}]=>[4,5,6,2,3,1]
[6,4,4,2,1,2]=>[{5},{4,6},{2,3},{1}]=>[5,4,6,2,3,1]
[6,4,4,2,2,1]=>[{6},{4,5},{2,3},{1}]=>[6,4,5,2,3,1]
[1,2,2,4,5,5]=>[{1},{2,3},{4},{5,6}]=>[1,2,3,4,5,6]
[1,2,2,5,4,5]=>[{1},{2,3},{5},{4,6}]=>[1,2,3,5,4,6]
[1,2,2,5,5,4]=>[{1},{2,3},{6},{4,5}]=>[1,2,3,6,4,5]
[1,2,4,2,5,5]=>[{1},{2,4},{3},{5,6}]=>[1,2,4,3,5,6]
[1,2,4,5,2,5]=>[{1},{2,5},{3},{4,6}]=>[1,2,5,3,4,6]
[1,2,4,5,5,2]=>[{1},{2,6},{3},{4,5}]=>[1,2,6,3,4,5]
[1,2,5,2,4,5]=>[{1},{2,4},{5},{3,6}]=>[1,2,4,5,3,6]
[1,2,5,2,5,4]=>[{1},{2,4},{6},{3,5}]=>[1,2,4,6,3,5]
[1,2,5,4,2,5]=>[{1},{2,5},{4},{3,6}]=>[1,2,5,4,3,6]
[1,2,5,4,5,2]=>[{1},{2,6},{4},{3,5}]=>[1,2,6,4,3,5]
[1,2,5,5,2,4]=>[{1},{2,5},{6},{3,4}]=>[1,2,5,6,3,4]
[1,2,5,5,4,2]=>[{1},{2,6},{5},{3,4}]=>[1,2,6,5,3,4]
[1,4,2,2,5,5]=>[{1},{3,4},{2},{5,6}]=>[1,3,4,2,5,6]
[1,4,2,5,2,5]=>[{1},{3,5},{2},{4,6}]=>[1,3,5,2,4,6]
[1,4,2,5,5,2]=>[{1},{3,6},{2},{4,5}]=>[1,3,6,2,4,5]
[1,4,5,2,2,5]=>[{1},{4,5},{2},{3,6}]=>[1,4,5,2,3,6]
[1,4,5,2,5,2]=>[{1},{4,6},{2},{3,5}]=>[1,4,6,2,3,5]
[1,4,5,5,2,2]=>[{1},{5,6},{2},{3,4}]=>[1,5,6,2,3,4]
[1,5,2,2,4,5]=>[{1},{3,4},{5},{2,6}]=>[1,3,4,5,2,6]
[1,5,2,2,5,4]=>[{1},{3,4},{6},{2,5}]=>[1,3,4,6,2,5]
[1,5,2,4,2,5]=>[{1},{3,5},{4},{2,6}]=>[1,3,5,4,2,6]
[1,5,2,4,5,2]=>[{1},{3,6},{4},{2,5}]=>[1,3,6,4,2,5]
[1,5,2,5,2,4]=>[{1},{3,5},{6},{2,4}]=>[1,3,5,6,2,4]
[1,5,2,5,4,2]=>[{1},{3,6},{5},{2,4}]=>[1,3,6,5,2,4]
[1,5,4,2,2,5]=>[{1},{4,5},{3},{2,6}]=>[1,4,5,3,2,6]
[1,5,4,2,5,2]=>[{1},{4,6},{3},{2,5}]=>[1,4,6,3,2,5]
[1,5,4,5,2,2]=>[{1},{5,6},{3},{2,4}]=>[1,5,6,3,2,4]
[1,5,5,2,2,4]=>[{1},{4,5},{6},{2,3}]=>[1,4,5,6,2,3]
[1,5,5,2,4,2]=>[{1},{4,6},{5},{2,3}]=>[1,4,6,5,2,3]
[1,5,5,4,2,2]=>[{1},{5,6},{4},{2,3}]=>[1,5,6,4,2,3]
[2,1,2,4,5,5]=>[{2},{1,3},{4},{5,6}]=>[2,1,3,4,5,6]
[2,1,2,5,4,5]=>[{2},{1,3},{5},{4,6}]=>[2,1,3,5,4,6]
[2,1,2,5,5,4]=>[{2},{1,3},{6},{4,5}]=>[2,1,3,6,4,5]
[2,1,4,2,5,5]=>[{2},{1,4},{3},{5,6}]=>[2,1,4,3,5,6]
[2,1,4,5,2,5]=>[{2},{1,5},{3},{4,6}]=>[2,1,5,3,4,6]
[2,1,4,5,5,2]=>[{2},{1,6},{3},{4,5}]=>[2,1,6,3,4,5]
[2,1,5,2,4,5]=>[{2},{1,4},{5},{3,6}]=>[2,1,4,5,3,6]
[2,1,5,2,5,4]=>[{2},{1,4},{6},{3,5}]=>[2,1,4,6,3,5]
[2,1,5,4,2,5]=>[{2},{1,5},{4},{3,6}]=>[2,1,5,4,3,6]
[2,1,5,4,5,2]=>[{2},{1,6},{4},{3,5}]=>[2,1,6,4,3,5]
[2,1,5,5,2,4]=>[{2},{1,5},{6},{3,4}]=>[2,1,5,6,3,4]
[2,1,5,5,4,2]=>[{2},{1,6},{5},{3,4}]=>[2,1,6,5,3,4]
[2,2,1,4,5,5]=>[{3},{1,2},{4},{5,6}]=>[3,1,2,4,5,6]
[2,2,1,5,4,5]=>[{3},{1,2},{5},{4,6}]=>[3,1,2,5,4,6]
[2,2,1,5,5,4]=>[{3},{1,2},{6},{4,5}]=>[3,1,2,6,4,5]
[2,2,4,1,5,5]=>[{4},{1,2},{3},{5,6}]=>[4,1,2,3,5,6]
[2,2,4,5,1,5]=>[{5},{1,2},{3},{4,6}]=>[5,1,2,3,4,6]
[2,2,4,5,5,1]=>[{6},{1,2},{3},{4,5}]=>[6,1,2,3,4,5]
[2,2,5,1,4,5]=>[{4},{1,2},{5},{3,6}]=>[4,1,2,5,3,6]
[2,2,5,1,5,4]=>[{4},{1,2},{6},{3,5}]=>[4,1,2,6,3,5]
[2,2,5,4,1,5]=>[{5},{1,2},{4},{3,6}]=>[5,1,2,4,3,6]
[2,2,5,4,5,1]=>[{6},{1,2},{4},{3,5}]=>[6,1,2,4,3,5]
[2,2,5,5,1,4]=>[{5},{1,2},{6},{3,4}]=>[5,1,2,6,3,4]
[2,2,5,5,4,1]=>[{6},{1,2},{5},{3,4}]=>[6,1,2,5,3,4]
[2,4,1,2,5,5]=>[{3},{1,4},{2},{5,6}]=>[3,1,4,2,5,6]
[2,4,1,5,2,5]=>[{3},{1,5},{2},{4,6}]=>[3,1,5,2,4,6]
[2,4,1,5,5,2]=>[{3},{1,6},{2},{4,5}]=>[3,1,6,2,4,5]
[2,4,2,1,5,5]=>[{4},{1,3},{2},{5,6}]=>[4,1,3,2,5,6]
[2,4,2,5,1,5]=>[{5},{1,3},{2},{4,6}]=>[5,1,3,2,4,6]
[2,4,2,5,5,1]=>[{6},{1,3},{2},{4,5}]=>[6,1,3,2,4,5]
[2,4,5,1,2,5]=>[{4},{1,5},{2},{3,6}]=>[4,1,5,2,3,6]
[2,4,5,1,5,2]=>[{4},{1,6},{2},{3,5}]=>[4,1,6,2,3,5]
[2,4,5,2,1,5]=>[{5},{1,4},{2},{3,6}]=>[5,1,4,2,3,6]
[2,4,5,2,5,1]=>[{6},{1,4},{2},{3,5}]=>[6,1,4,2,3,5]
[2,4,5,5,1,2]=>[{5},{1,6},{2},{3,4}]=>[5,1,6,2,3,4]
[2,4,5,5,2,1]=>[{6},{1,5},{2},{3,4}]=>[6,1,5,2,3,4]
[2,5,1,2,4,5]=>[{3},{1,4},{5},{2,6}]=>[3,1,4,5,2,6]
[2,5,1,2,5,4]=>[{3},{1,4},{6},{2,5}]=>[3,1,4,6,2,5]
[2,5,1,4,2,5]=>[{3},{1,5},{4},{2,6}]=>[3,1,5,4,2,6]
[2,5,1,4,5,2]=>[{3},{1,6},{4},{2,5}]=>[3,1,6,4,2,5]
[2,5,1,5,2,4]=>[{3},{1,5},{6},{2,4}]=>[3,1,5,6,2,4]
[2,5,1,5,4,2]=>[{3},{1,6},{5},{2,4}]=>[3,1,6,5,2,4]
[2,5,2,1,4,5]=>[{4},{1,3},{5},{2,6}]=>[4,1,3,5,2,6]
[2,5,2,1,5,4]=>[{4},{1,3},{6},{2,5}]=>[4,1,3,6,2,5]
[2,5,2,4,1,5]=>[{5},{1,3},{4},{2,6}]=>[5,1,3,4,2,6]
[2,5,2,4,5,1]=>[{6},{1,3},{4},{2,5}]=>[6,1,3,4,2,5]
[2,5,2,5,1,4]=>[{5},{1,3},{6},{2,4}]=>[5,1,3,6,2,4]
[2,5,2,5,4,1]=>[{6},{1,3},{5},{2,4}]=>[6,1,3,5,2,4]
[2,5,4,1,2,5]=>[{4},{1,5},{3},{2,6}]=>[4,1,5,3,2,6]
[2,5,4,1,5,2]=>[{4},{1,6},{3},{2,5}]=>[4,1,6,3,2,5]
[2,5,4,2,1,5]=>[{5},{1,4},{3},{2,6}]=>[5,1,4,3,2,6]
[2,5,4,2,5,1]=>[{6},{1,4},{3},{2,5}]=>[6,1,4,3,2,5]
[2,5,4,5,1,2]=>[{5},{1,6},{3},{2,4}]=>[5,1,6,3,2,4]
[2,5,4,5,2,1]=>[{6},{1,5},{3},{2,4}]=>[6,1,5,3,2,4]
[2,5,5,1,2,4]=>[{4},{1,5},{6},{2,3}]=>[4,1,5,6,2,3]
[2,5,5,1,4,2]=>[{4},{1,6},{5},{2,3}]=>[4,1,6,5,2,3]
[2,5,5,2,1,4]=>[{5},{1,4},{6},{2,3}]=>[5,1,4,6,2,3]
[2,5,5,2,4,1]=>[{6},{1,4},{5},{2,3}]=>[6,1,4,5,2,3]
[2,5,5,4,1,2]=>[{5},{1,6},{4},{2,3}]=>[5,1,6,4,2,3]
[2,5,5,4,2,1]=>[{6},{1,5},{4},{2,3}]=>[6,1,5,4,2,3]
[4,1,2,2,5,5]=>[{2},{3,4},{1},{5,6}]=>[2,3,4,1,5,6]
[4,1,2,5,2,5]=>[{2},{3,5},{1},{4,6}]=>[2,3,5,1,4,6]
[4,1,2,5,5,2]=>[{2},{3,6},{1},{4,5}]=>[2,3,6,1,4,5]
[4,1,5,2,2,5]=>[{2},{4,5},{1},{3,6}]=>[2,4,5,1,3,6]
[4,1,5,2,5,2]=>[{2},{4,6},{1},{3,5}]=>[2,4,6,1,3,5]
[4,1,5,5,2,2]=>[{2},{5,6},{1},{3,4}]=>[2,5,6,1,3,4]
[4,2,1,2,5,5]=>[{3},{2,4},{1},{5,6}]=>[3,2,4,1,5,6]
[4,2,1,5,2,5]=>[{3},{2,5},{1},{4,6}]=>[3,2,5,1,4,6]
[4,2,1,5,5,2]=>[{3},{2,6},{1},{4,5}]=>[3,2,6,1,4,5]
[4,2,2,1,5,5]=>[{4},{2,3},{1},{5,6}]=>[4,2,3,1,5,6]
[4,2,2,5,1,5]=>[{5},{2,3},{1},{4,6}]=>[5,2,3,1,4,6]
[4,2,2,5,5,1]=>[{6},{2,3},{1},{4,5}]=>[6,2,3,1,4,5]
[4,2,5,1,2,5]=>[{4},{2,5},{1},{3,6}]=>[4,2,5,1,3,6]
[4,2,5,1,5,2]=>[{4},{2,6},{1},{3,5}]=>[4,2,6,1,3,5]
[4,2,5,2,1,5]=>[{5},{2,4},{1},{3,6}]=>[5,2,4,1,3,6]
[4,2,5,2,5,1]=>[{6},{2,4},{1},{3,5}]=>[6,2,4,1,3,5]
[4,2,5,5,1,2]=>[{5},{2,6},{1},{3,4}]=>[5,2,6,1,3,4]
[4,2,5,5,2,1]=>[{6},{2,5},{1},{3,4}]=>[6,2,5,1,3,4]
[4,5,1,2,2,5]=>[{3},{4,5},{1},{2,6}]=>[3,4,5,1,2,6]
[4,5,1,2,5,2]=>[{3},{4,6},{1},{2,5}]=>[3,4,6,1,2,5]
[4,5,1,5,2,2]=>[{3},{5,6},{1},{2,4}]=>[3,5,6,1,2,4]
[4,5,2,1,2,5]=>[{4},{3,5},{1},{2,6}]=>[4,3,5,1,2,6]
[4,5,2,1,5,2]=>[{4},{3,6},{1},{2,5}]=>[4,3,6,1,2,5]
[4,5,2,2,1,5]=>[{5},{3,4},{1},{2,6}]=>[5,3,4,1,2,6]
[4,5,2,2,5,1]=>[{6},{3,4},{1},{2,5}]=>[6,3,4,1,2,5]
[4,5,2,5,1,2]=>[{5},{3,6},{1},{2,4}]=>[5,3,6,1,2,4]
[4,5,2,5,2,1]=>[{6},{3,5},{1},{2,4}]=>[6,3,5,1,2,4]
[4,5,5,1,2,2]=>[{4},{5,6},{1},{2,3}]=>[4,5,6,1,2,3]
[4,5,5,2,1,2]=>[{5},{4,6},{1},{2,3}]=>[5,4,6,1,2,3]
[4,5,5,2,2,1]=>[{6},{4,5},{1},{2,3}]=>[6,4,5,1,2,3]
[5,1,2,2,4,5]=>[{2},{3,4},{5},{1,6}]=>[2,3,4,5,1,6]
[5,1,2,2,5,4]=>[{2},{3,4},{6},{1,5}]=>[2,3,4,6,1,5]
[5,1,2,4,2,5]=>[{2},{3,5},{4},{1,6}]=>[2,3,5,4,1,6]
[5,1,2,4,5,2]=>[{2},{3,6},{4},{1,5}]=>[2,3,6,4,1,5]
[5,1,2,5,2,4]=>[{2},{3,5},{6},{1,4}]=>[2,3,5,6,1,4]
[5,1,2,5,4,2]=>[{2},{3,6},{5},{1,4}]=>[2,3,6,5,1,4]
[5,1,4,2,2,5]=>[{2},{4,5},{3},{1,6}]=>[2,4,5,3,1,6]
[5,1,4,2,5,2]=>[{2},{4,6},{3},{1,5}]=>[2,4,6,3,1,5]
[5,1,4,5,2,2]=>[{2},{5,6},{3},{1,4}]=>[2,5,6,3,1,4]
[5,1,5,2,2,4]=>[{2},{4,5},{6},{1,3}]=>[2,4,5,6,1,3]
[5,1,5,2,4,2]=>[{2},{4,6},{5},{1,3}]=>[2,4,6,5,1,3]
[5,1,5,4,2,2]=>[{2},{5,6},{4},{1,3}]=>[2,5,6,4,1,3]
[5,2,1,2,4,5]=>[{3},{2,4},{5},{1,6}]=>[3,2,4,5,1,6]
[5,2,1,2,5,4]=>[{3},{2,4},{6},{1,5}]=>[3,2,4,6,1,5]
[5,2,1,4,2,5]=>[{3},{2,5},{4},{1,6}]=>[3,2,5,4,1,6]
[5,2,1,4,5,2]=>[{3},{2,6},{4},{1,5}]=>[3,2,6,4,1,5]
[5,2,1,5,2,4]=>[{3},{2,5},{6},{1,4}]=>[3,2,5,6,1,4]
[5,2,1,5,4,2]=>[{3},{2,6},{5},{1,4}]=>[3,2,6,5,1,4]
[5,2,2,1,4,5]=>[{4},{2,3},{5},{1,6}]=>[4,2,3,5,1,6]
[5,2,2,1,5,4]=>[{4},{2,3},{6},{1,5}]=>[4,2,3,6,1,5]
[5,2,2,4,1,5]=>[{5},{2,3},{4},{1,6}]=>[5,2,3,4,1,6]
[5,2,2,4,5,1]=>[{6},{2,3},{4},{1,5}]=>[6,2,3,4,1,5]
[5,2,2,5,1,4]=>[{5},{2,3},{6},{1,4}]=>[5,2,3,6,1,4]
[5,2,2,5,4,1]=>[{6},{2,3},{5},{1,4}]=>[6,2,3,5,1,4]
[5,2,4,1,2,5]=>[{4},{2,5},{3},{1,6}]=>[4,2,5,3,1,6]
[5,2,4,1,5,2]=>[{4},{2,6},{3},{1,5}]=>[4,2,6,3,1,5]
[5,2,4,2,1,5]=>[{5},{2,4},{3},{1,6}]=>[5,2,4,3,1,6]
[5,2,4,2,5,1]=>[{6},{2,4},{3},{1,5}]=>[6,2,4,3,1,5]
[5,2,4,5,1,2]=>[{5},{2,6},{3},{1,4}]=>[5,2,6,3,1,4]
[5,2,4,5,2,1]=>[{6},{2,5},{3},{1,4}]=>[6,2,5,3,1,4]
[5,2,5,1,2,4]=>[{4},{2,5},{6},{1,3}]=>[4,2,5,6,1,3]
[5,2,5,1,4,2]=>[{4},{2,6},{5},{1,3}]=>[4,2,6,5,1,3]
[5,2,5,2,1,4]=>[{5},{2,4},{6},{1,3}]=>[5,2,4,6,1,3]
[5,2,5,2,4,1]=>[{6},{2,4},{5},{1,3}]=>[6,2,4,5,1,3]
[5,2,5,4,1,2]=>[{5},{2,6},{4},{1,3}]=>[5,2,6,4,1,3]
[5,2,5,4,2,1]=>[{6},{2,5},{4},{1,3}]=>[6,2,5,4,1,3]
[5,4,1,2,2,5]=>[{3},{4,5},{2},{1,6}]=>[3,4,5,2,1,6]
[5,4,1,2,5,2]=>[{3},{4,6},{2},{1,5}]=>[3,4,6,2,1,5]
[5,4,1,5,2,2]=>[{3},{5,6},{2},{1,4}]=>[3,5,6,2,1,4]
[5,4,2,1,2,5]=>[{4},{3,5},{2},{1,6}]=>[4,3,5,2,1,6]
[5,4,2,1,5,2]=>[{4},{3,6},{2},{1,5}]=>[4,3,6,2,1,5]
[5,4,2,2,1,5]=>[{5},{3,4},{2},{1,6}]=>[5,3,4,2,1,6]
[5,4,2,2,5,1]=>[{6},{3,4},{2},{1,5}]=>[6,3,4,2,1,5]
[5,4,2,5,1,2]=>[{5},{3,6},{2},{1,4}]=>[5,3,6,2,1,4]
[5,4,2,5,2,1]=>[{6},{3,5},{2},{1,4}]=>[6,3,5,2,1,4]
[5,4,5,1,2,2]=>[{4},{5,6},{2},{1,3}]=>[4,5,6,2,1,3]
[5,4,5,2,1,2]=>[{5},{4,6},{2},{1,3}]=>[5,4,6,2,1,3]
[5,4,5,2,2,1]=>[{6},{4,5},{2},{1,3}]=>[6,4,5,2,1,3]
[5,5,1,2,2,4]=>[{3},{4,5},{6},{1,2}]=>[3,4,5,6,1,2]
[5,5,1,2,4,2]=>[{3},{4,6},{5},{1,2}]=>[3,4,6,5,1,2]
[5,5,1,4,2,2]=>[{3},{5,6},{4},{1,2}]=>[3,5,6,4,1,2]
[5,5,2,1,2,4]=>[{4},{3,5},{6},{1,2}]=>[4,3,5,6,1,2]
[5,5,2,1,4,2]=>[{4},{3,6},{5},{1,2}]=>[4,3,6,5,1,2]
[5,5,2,2,1,4]=>[{5},{3,4},{6},{1,2}]=>[5,3,4,6,1,2]
[5,5,2,2,4,1]=>[{6},{3,4},{5},{1,2}]=>[6,3,4,5,1,2]
[5,5,2,4,1,2]=>[{5},{3,6},{4},{1,2}]=>[5,3,6,4,1,2]
[5,5,2,4,2,1]=>[{6},{3,5},{4},{1,2}]=>[6,3,5,4,1,2]
[5,5,4,1,2,2]=>[{4},{5,6},{3},{1,2}]=>[4,5,6,3,1,2]
[5,5,4,2,1,2]=>[{5},{4,6},{3},{1,2}]=>[5,4,6,3,1,2]
[5,5,4,2,2,1]=>[{6},{4,5},{3},{1,2}]=>[6,4,5,3,1,2]
[1,2,2,4,5,6]=>[{1},{2,3},{4},{5},{6}]=>[1,2,3,4,5,6]
[1,2,2,4,6,5]=>[{1},{2,3},{4},{6},{5}]=>[1,2,3,4,6,5]
[1,2,2,5,4,6]=>[{1},{2,3},{5},{4},{6}]=>[1,2,3,5,4,6]
[1,2,2,5,6,4]=>[{1},{2,3},{6},{4},{5}]=>[1,2,3,6,4,5]
[1,2,2,6,4,5]=>[{1},{2,3},{5},{6},{4}]=>[1,2,3,5,6,4]
[1,2,2,6,5,4]=>[{1},{2,3},{6},{5},{4}]=>[1,2,3,6,5,4]
[1,2,4,2,5,6]=>[{1},{2,4},{3},{5},{6}]=>[1,2,4,3,5,6]
[1,2,4,2,6,5]=>[{1},{2,4},{3},{6},{5}]=>[1,2,4,3,6,5]
[1,2,4,5,2,6]=>[{1},{2,5},{3},{4},{6}]=>[1,2,5,3,4,6]
[1,2,4,5,6,2]=>[{1},{2,6},{3},{4},{5}]=>[1,2,6,3,4,5]
[1,2,4,6,2,5]=>[{1},{2,5},{3},{6},{4}]=>[1,2,5,3,6,4]
[1,2,4,6,5,2]=>[{1},{2,6},{3},{5},{4}]=>[1,2,6,3,5,4]
[1,2,5,2,4,6]=>[{1},{2,4},{5},{3},{6}]=>[1,2,4,5,3,6]
[1,2,5,2,6,4]=>[{1},{2,4},{6},{3},{5}]=>[1,2,4,6,3,5]
[1,2,5,4,2,6]=>[{1},{2,5},{4},{3},{6}]=>[1,2,5,4,3,6]
[1,2,5,4,6,2]=>[{1},{2,6},{4},{3},{5}]=>[1,2,6,4,3,5]
[1,2,5,6,2,4]=>[{1},{2,5},{6},{3},{4}]=>[1,2,5,6,3,4]
[1,2,5,6,4,2]=>[{1},{2,6},{5},{3},{4}]=>[1,2,6,5,3,4]
[1,2,6,2,4,5]=>[{1},{2,4},{5},{6},{3}]=>[1,2,4,5,6,3]
[1,2,6,2,5,4]=>[{1},{2,4},{6},{5},{3}]=>[1,2,4,6,5,3]
[1,2,6,4,2,5]=>[{1},{2,5},{4},{6},{3}]=>[1,2,5,4,6,3]
[1,2,6,4,5,2]=>[{1},{2,6},{4},{5},{3}]=>[1,2,6,4,5,3]
[1,2,6,5,2,4]=>[{1},{2,5},{6},{4},{3}]=>[1,2,5,6,4,3]
[1,2,6,5,4,2]=>[{1},{2,6},{5},{4},{3}]=>[1,2,6,5,4,3]
[1,4,2,2,5,6]=>[{1},{3,4},{2},{5},{6}]=>[1,3,4,2,5,6]
[1,4,2,2,6,5]=>[{1},{3,4},{2},{6},{5}]=>[1,3,4,2,6,5]
[1,4,2,5,2,6]=>[{1},{3,5},{2},{4},{6}]=>[1,3,5,2,4,6]
[1,4,2,5,6,2]=>[{1},{3,6},{2},{4},{5}]=>[1,3,6,2,4,5]
[1,4,2,6,2,5]=>[{1},{3,5},{2},{6},{4}]=>[1,3,5,2,6,4]
[1,4,2,6,5,2]=>[{1},{3,6},{2},{5},{4}]=>[1,3,6,2,5,4]
[1,4,5,2,2,6]=>[{1},{4,5},{2},{3},{6}]=>[1,4,5,2,3,6]
[1,4,5,2,6,2]=>[{1},{4,6},{2},{3},{5}]=>[1,4,6,2,3,5]
[1,4,5,6,2,2]=>[{1},{5,6},{2},{3},{4}]=>[1,5,6,2,3,4]
[1,4,6,2,2,5]=>[{1},{4,5},{2},{6},{3}]=>[1,4,5,2,6,3]
[1,4,6,2,5,2]=>[{1},{4,6},{2},{5},{3}]=>[1,4,6,2,5,3]
[1,4,6,5,2,2]=>[{1},{5,6},{2},{4},{3}]=>[1,5,6,2,4,3]
[1,5,2,2,4,6]=>[{1},{3,4},{5},{2},{6}]=>[1,3,4,5,2,6]
[1,5,2,2,6,4]=>[{1},{3,4},{6},{2},{5}]=>[1,3,4,6,2,5]
[1,5,2,4,2,6]=>[{1},{3,5},{4},{2},{6}]=>[1,3,5,4,2,6]
[1,5,2,4,6,2]=>[{1},{3,6},{4},{2},{5}]=>[1,3,6,4,2,5]
[1,5,2,6,2,4]=>[{1},{3,5},{6},{2},{4}]=>[1,3,5,6,2,4]
[1,5,2,6,4,2]=>[{1},{3,6},{5},{2},{4}]=>[1,3,6,5,2,4]
[1,5,4,2,2,6]=>[{1},{4,5},{3},{2},{6}]=>[1,4,5,3,2,6]
[1,5,4,2,6,2]=>[{1},{4,6},{3},{2},{5}]=>[1,4,6,3,2,5]
[1,5,4,6,2,2]=>[{1},{5,6},{3},{2},{4}]=>[1,5,6,3,2,4]
[1,5,6,2,2,4]=>[{1},{4,5},{6},{2},{3}]=>[1,4,5,6,2,3]
[1,5,6,2,4,2]=>[{1},{4,6},{5},{2},{3}]=>[1,4,6,5,2,3]
[1,5,6,4,2,2]=>[{1},{5,6},{4},{2},{3}]=>[1,5,6,4,2,3]
[1,6,2,2,4,5]=>[{1},{3,4},{5},{6},{2}]=>[1,3,4,5,6,2]
[1,6,2,2,5,4]=>[{1},{3,4},{6},{5},{2}]=>[1,3,4,6,5,2]
[1,6,2,4,2,5]=>[{1},{3,5},{4},{6},{2}]=>[1,3,5,4,6,2]
[1,6,2,4,5,2]=>[{1},{3,6},{4},{5},{2}]=>[1,3,6,4,5,2]
[1,6,2,5,2,4]=>[{1},{3,5},{6},{4},{2}]=>[1,3,5,6,4,2]
[1,6,2,5,4,2]=>[{1},{3,6},{5},{4},{2}]=>[1,3,6,5,4,2]
[1,6,4,2,2,5]=>[{1},{4,5},{3},{6},{2}]=>[1,4,5,3,6,2]
[1,6,4,2,5,2]=>[{1},{4,6},{3},{5},{2}]=>[1,4,6,3,5,2]
[1,6,4,5,2,2]=>[{1},{5,6},{3},{4},{2}]=>[1,5,6,3,4,2]
[1,6,5,2,2,4]=>[{1},{4,5},{6},{3},{2}]=>[1,4,5,6,3,2]
[1,6,5,2,4,2]=>[{1},{4,6},{5},{3},{2}]=>[1,4,6,5,3,2]
[1,6,5,4,2,2]=>[{1},{5,6},{4},{3},{2}]=>[1,5,6,4,3,2]
[2,1,2,4,5,6]=>[{2},{1,3},{4},{5},{6}]=>[2,1,3,4,5,6]
[2,1,2,4,6,5]=>[{2},{1,3},{4},{6},{5}]=>[2,1,3,4,6,5]
[2,1,2,5,4,6]=>[{2},{1,3},{5},{4},{6}]=>[2,1,3,5,4,6]
[2,1,2,5,6,4]=>[{2},{1,3},{6},{4},{5}]=>[2,1,3,6,4,5]
[2,1,2,6,4,5]=>[{2},{1,3},{5},{6},{4}]=>[2,1,3,5,6,4]
[2,1,2,6,5,4]=>[{2},{1,3},{6},{5},{4}]=>[2,1,3,6,5,4]
[2,1,4,2,5,6]=>[{2},{1,4},{3},{5},{6}]=>[2,1,4,3,5,6]
[2,1,4,2,6,5]=>[{2},{1,4},{3},{6},{5}]=>[2,1,4,3,6,5]
[2,1,4,5,2,6]=>[{2},{1,5},{3},{4},{6}]=>[2,1,5,3,4,6]
[2,1,4,5,6,2]=>[{2},{1,6},{3},{4},{5}]=>[2,1,6,3,4,5]
[2,1,4,6,2,5]=>[{2},{1,5},{3},{6},{4}]=>[2,1,5,3,6,4]
[2,1,4,6,5,2]=>[{2},{1,6},{3},{5},{4}]=>[2,1,6,3,5,4]
[2,1,5,2,4,6]=>[{2},{1,4},{5},{3},{6}]=>[2,1,4,5,3,6]
[2,1,5,2,6,4]=>[{2},{1,4},{6},{3},{5}]=>[2,1,4,6,3,5]
[2,1,5,4,2,6]=>[{2},{1,5},{4},{3},{6}]=>[2,1,5,4,3,6]
[2,1,5,4,6,2]=>[{2},{1,6},{4},{3},{5}]=>[2,1,6,4,3,5]
[2,1,5,6,2,4]=>[{2},{1,5},{6},{3},{4}]=>[2,1,5,6,3,4]
[2,1,5,6,4,2]=>[{2},{1,6},{5},{3},{4}]=>[2,1,6,5,3,4]
[2,1,6,2,4,5]=>[{2},{1,4},{5},{6},{3}]=>[2,1,4,5,6,3]
[2,1,6,2,5,4]=>[{2},{1,4},{6},{5},{3}]=>[2,1,4,6,5,3]
[2,1,6,4,2,5]=>[{2},{1,5},{4},{6},{3}]=>[2,1,5,4,6,3]
[2,1,6,4,5,2]=>[{2},{1,6},{4},{5},{3}]=>[2,1,6,4,5,3]
[2,1,6,5,2,4]=>[{2},{1,5},{6},{4},{3}]=>[2,1,5,6,4,3]
[2,1,6,5,4,2]=>[{2},{1,6},{5},{4},{3}]=>[2,1,6,5,4,3]
[2,2,1,4,5,6]=>[{3},{1,2},{4},{5},{6}]=>[3,1,2,4,5,6]
[2,2,1,4,6,5]=>[{3},{1,2},{4},{6},{5}]=>[3,1,2,4,6,5]
[2,2,1,5,4,6]=>[{3},{1,2},{5},{4},{6}]=>[3,1,2,5,4,6]
[2,2,1,5,6,4]=>[{3},{1,2},{6},{4},{5}]=>[3,1,2,6,4,5]
[2,2,1,6,4,5]=>[{3},{1,2},{5},{6},{4}]=>[3,1,2,5,6,4]
[2,2,1,6,5,4]=>[{3},{1,2},{6},{5},{4}]=>[3,1,2,6,5,4]
[2,2,4,1,5,6]=>[{4},{1,2},{3},{5},{6}]=>[4,1,2,3,5,6]
[2,2,4,1,6,5]=>[{4},{1,2},{3},{6},{5}]=>[4,1,2,3,6,5]
[2,2,4,5,1,6]=>[{5},{1,2},{3},{4},{6}]=>[5,1,2,3,4,6]
[2,2,4,5,6,1]=>[{6},{1,2},{3},{4},{5}]=>[6,1,2,3,4,5]
[2,2,4,6,1,5]=>[{5},{1,2},{3},{6},{4}]=>[5,1,2,3,6,4]
[2,2,4,6,5,1]=>[{6},{1,2},{3},{5},{4}]=>[6,1,2,3,5,4]
[2,2,5,1,4,6]=>[{4},{1,2},{5},{3},{6}]=>[4,1,2,5,3,6]
[2,2,5,1,6,4]=>[{4},{1,2},{6},{3},{5}]=>[4,1,2,6,3,5]
[2,2,5,4,1,6]=>[{5},{1,2},{4},{3},{6}]=>[5,1,2,4,3,6]
[2,2,5,4,6,1]=>[{6},{1,2},{4},{3},{5}]=>[6,1,2,4,3,5]
[2,2,5,6,1,4]=>[{5},{1,2},{6},{3},{4}]=>[5,1,2,6,3,4]
[2,2,5,6,4,1]=>[{6},{1,2},{5},{3},{4}]=>[6,1,2,5,3,4]
[2,2,6,1,4,5]=>[{4},{1,2},{5},{6},{3}]=>[4,1,2,5,6,3]
[2,2,6,1,5,4]=>[{4},{1,2},{6},{5},{3}]=>[4,1,2,6,5,3]
[2,2,6,4,1,5]=>[{5},{1,2},{4},{6},{3}]=>[5,1,2,4,6,3]
[2,2,6,4,5,1]=>[{6},{1,2},{4},{5},{3}]=>[6,1,2,4,5,3]
[2,2,6,5,1,4]=>[{5},{1,2},{6},{4},{3}]=>[5,1,2,6,4,3]
[2,2,6,5,4,1]=>[{6},{1,2},{5},{4},{3}]=>[6,1,2,5,4,3]
[2,4,1,2,5,6]=>[{3},{1,4},{2},{5},{6}]=>[3,1,4,2,5,6]
[2,4,1,2,6,5]=>[{3},{1,4},{2},{6},{5}]=>[3,1,4,2,6,5]
[2,4,1,5,2,6]=>[{3},{1,5},{2},{4},{6}]=>[3,1,5,2,4,6]
[2,4,1,5,6,2]=>[{3},{1,6},{2},{4},{5}]=>[3,1,6,2,4,5]
[2,4,1,6,2,5]=>[{3},{1,5},{2},{6},{4}]=>[3,1,5,2,6,4]
[2,4,1,6,5,2]=>[{3},{1,6},{2},{5},{4}]=>[3,1,6,2,5,4]
[2,4,2,1,5,6]=>[{4},{1,3},{2},{5},{6}]=>[4,1,3,2,5,6]
[2,4,2,1,6,5]=>[{4},{1,3},{2},{6},{5}]=>[4,1,3,2,6,5]
[2,4,2,5,1,6]=>[{5},{1,3},{2},{4},{6}]=>[5,1,3,2,4,6]
[2,4,2,5,6,1]=>[{6},{1,3},{2},{4},{5}]=>[6,1,3,2,4,5]
[2,4,2,6,1,5]=>[{5},{1,3},{2},{6},{4}]=>[5,1,3,2,6,4]
[2,4,2,6,5,1]=>[{6},{1,3},{2},{5},{4}]=>[6,1,3,2,5,4]
[2,4,5,1,2,6]=>[{4},{1,5},{2},{3},{6}]=>[4,1,5,2,3,6]
[2,4,5,1,6,2]=>[{4},{1,6},{2},{3},{5}]=>[4,1,6,2,3,5]
[2,4,5,2,1,6]=>[{5},{1,4},{2},{3},{6}]=>[5,1,4,2,3,6]
[2,4,5,2,6,1]=>[{6},{1,4},{2},{3},{5}]=>[6,1,4,2,3,5]
[2,4,5,6,1,2]=>[{5},{1,6},{2},{3},{4}]=>[5,1,6,2,3,4]
[2,4,5,6,2,1]=>[{6},{1,5},{2},{3},{4}]=>[6,1,5,2,3,4]
[2,4,6,1,2,5]=>[{4},{1,5},{2},{6},{3}]=>[4,1,5,2,6,3]
[2,4,6,1,5,2]=>[{4},{1,6},{2},{5},{3}]=>[4,1,6,2,5,3]
[2,4,6,2,1,5]=>[{5},{1,4},{2},{6},{3}]=>[5,1,4,2,6,3]
[2,4,6,2,5,1]=>[{6},{1,4},{2},{5},{3}]=>[6,1,4,2,5,3]
[2,4,6,5,1,2]=>[{5},{1,6},{2},{4},{3}]=>[5,1,6,2,4,3]
[2,4,6,5,2,1]=>[{6},{1,5},{2},{4},{3}]=>[6,1,5,2,4,3]
[2,5,1,2,4,6]=>[{3},{1,4},{5},{2},{6}]=>[3,1,4,5,2,6]
[2,5,1,2,6,4]=>[{3},{1,4},{6},{2},{5}]=>[3,1,4,6,2,5]
[2,5,1,4,2,6]=>[{3},{1,5},{4},{2},{6}]=>[3,1,5,4,2,6]
[2,5,1,4,6,2]=>[{3},{1,6},{4},{2},{5}]=>[3,1,6,4,2,5]
[2,5,1,6,2,4]=>[{3},{1,5},{6},{2},{4}]=>[3,1,5,6,2,4]
[2,5,1,6,4,2]=>[{3},{1,6},{5},{2},{4}]=>[3,1,6,5,2,4]
[2,5,2,1,4,6]=>[{4},{1,3},{5},{2},{6}]=>[4,1,3,5,2,6]
[2,5,2,1,6,4]=>[{4},{1,3},{6},{2},{5}]=>[4,1,3,6,2,5]
[2,5,2,4,1,6]=>[{5},{1,3},{4},{2},{6}]=>[5,1,3,4,2,6]
[2,5,2,4,6,1]=>[{6},{1,3},{4},{2},{5}]=>[6,1,3,4,2,5]
[2,5,2,6,1,4]=>[{5},{1,3},{6},{2},{4}]=>[5,1,3,6,2,4]
[2,5,2,6,4,1]=>[{6},{1,3},{5},{2},{4}]=>[6,1,3,5,2,4]
[2,5,4,1,2,6]=>[{4},{1,5},{3},{2},{6}]=>[4,1,5,3,2,6]
[2,5,4,1,6,2]=>[{4},{1,6},{3},{2},{5}]=>[4,1,6,3,2,5]
[2,5,4,2,1,6]=>[{5},{1,4},{3},{2},{6}]=>[5,1,4,3,2,6]
[2,5,4,2,6,1]=>[{6},{1,4},{3},{2},{5}]=>[6,1,4,3,2,5]
[2,5,4,6,1,2]=>[{5},{1,6},{3},{2},{4}]=>[5,1,6,3,2,4]
[2,5,4,6,2,1]=>[{6},{1,5},{3},{2},{4}]=>[6,1,5,3,2,4]
[2,5,6,1,2,4]=>[{4},{1,5},{6},{2},{3}]=>[4,1,5,6,2,3]
[2,5,6,1,4,2]=>[{4},{1,6},{5},{2},{3}]=>[4,1,6,5,2,3]
[2,5,6,2,1,4]=>[{5},{1,4},{6},{2},{3}]=>[5,1,4,6,2,3]
[2,5,6,2,4,1]=>[{6},{1,4},{5},{2},{3}]=>[6,1,4,5,2,3]
[2,5,6,4,1,2]=>[{5},{1,6},{4},{2},{3}]=>[5,1,6,4,2,3]
[2,5,6,4,2,1]=>[{6},{1,5},{4},{2},{3}]=>[6,1,5,4,2,3]
[2,6,1,2,4,5]=>[{3},{1,4},{5},{6},{2}]=>[3,1,4,5,6,2]
[2,6,1,2,5,4]=>[{3},{1,4},{6},{5},{2}]=>[3,1,4,6,5,2]
[2,6,1,4,2,5]=>[{3},{1,5},{4},{6},{2}]=>[3,1,5,4,6,2]
[2,6,1,4,5,2]=>[{3},{1,6},{4},{5},{2}]=>[3,1,6,4,5,2]
[2,6,1,5,2,4]=>[{3},{1,5},{6},{4},{2}]=>[3,1,5,6,4,2]
[2,6,1,5,4,2]=>[{3},{1,6},{5},{4},{2}]=>[3,1,6,5,4,2]
[2,6,2,1,4,5]=>[{4},{1,3},{5},{6},{2}]=>[4,1,3,5,6,2]
[2,6,2,1,5,4]=>[{4},{1,3},{6},{5},{2}]=>[4,1,3,6,5,2]
[2,6,2,4,1,5]=>[{5},{1,3},{4},{6},{2}]=>[5,1,3,4,6,2]
[2,6,2,4,5,1]=>[{6},{1,3},{4},{5},{2}]=>[6,1,3,4,5,2]
[2,6,2,5,1,4]=>[{5},{1,3},{6},{4},{2}]=>[5,1,3,6,4,2]
[2,6,2,5,4,1]=>[{6},{1,3},{5},{4},{2}]=>[6,1,3,5,4,2]
[2,6,4,1,2,5]=>[{4},{1,5},{3},{6},{2}]=>[4,1,5,3,6,2]
[2,6,4,1,5,2]=>[{4},{1,6},{3},{5},{2}]=>[4,1,6,3,5,2]
[2,6,4,2,1,5]=>[{5},{1,4},{3},{6},{2}]=>[5,1,4,3,6,2]
[2,6,4,2,5,1]=>[{6},{1,4},{3},{5},{2}]=>[6,1,4,3,5,2]
[2,6,4,5,1,2]=>[{5},{1,6},{3},{4},{2}]=>[5,1,6,3,4,2]
[2,6,4,5,2,1]=>[{6},{1,5},{3},{4},{2}]=>[6,1,5,3,4,2]
[2,6,5,1,2,4]=>[{4},{1,5},{6},{3},{2}]=>[4,1,5,6,3,2]
[2,6,5,1,4,2]=>[{4},{1,6},{5},{3},{2}]=>[4,1,6,5,3,2]
[2,6,5,2,1,4]=>[{5},{1,4},{6},{3},{2}]=>[5,1,4,6,3,2]
[2,6,5,2,4,1]=>[{6},{1,4},{5},{3},{2}]=>[6,1,4,5,3,2]
[2,6,5,4,1,2]=>[{5},{1,6},{4},{3},{2}]=>[5,1,6,4,3,2]
[2,6,5,4,2,1]=>[{6},{1,5},{4},{3},{2}]=>[6,1,5,4,3,2]
[4,1,2,2,5,6]=>[{2},{3,4},{1},{5},{6}]=>[2,3,4,1,5,6]
[4,1,2,2,6,5]=>[{2},{3,4},{1},{6},{5}]=>[2,3,4,1,6,5]
[4,1,2,5,2,6]=>[{2},{3,5},{1},{4},{6}]=>[2,3,5,1,4,6]
[4,1,2,5,6,2]=>[{2},{3,6},{1},{4},{5}]=>[2,3,6,1,4,5]
[4,1,2,6,2,5]=>[{2},{3,5},{1},{6},{4}]=>[2,3,5,1,6,4]
[4,1,2,6,5,2]=>[{2},{3,6},{1},{5},{4}]=>[2,3,6,1,5,4]
[4,1,5,2,2,6]=>[{2},{4,5},{1},{3},{6}]=>[2,4,5,1,3,6]
[4,1,5,2,6,2]=>[{2},{4,6},{1},{3},{5}]=>[2,4,6,1,3,5]
[4,1,5,6,2,2]=>[{2},{5,6},{1},{3},{4}]=>[2,5,6,1,3,4]
[4,1,6,2,2,5]=>[{2},{4,5},{1},{6},{3}]=>[2,4,5,1,6,3]
[4,1,6,2,5,2]=>[{2},{4,6},{1},{5},{3}]=>[2,4,6,1,5,3]
[4,1,6,5,2,2]=>[{2},{5,6},{1},{4},{3}]=>[2,5,6,1,4,3]
[4,2,1,2,5,6]=>[{3},{2,4},{1},{5},{6}]=>[3,2,4,1,5,6]
[4,2,1,2,6,5]=>[{3},{2,4},{1},{6},{5}]=>[3,2,4,1,6,5]
[4,2,1,5,2,6]=>[{3},{2,5},{1},{4},{6}]=>[3,2,5,1,4,6]
[4,2,1,5,6,2]=>[{3},{2,6},{1},{4},{5}]=>[3,2,6,1,4,5]
[4,2,1,6,2,5]=>[{3},{2,5},{1},{6},{4}]=>[3,2,5,1,6,4]
[4,2,1,6,5,2]=>[{3},{2,6},{1},{5},{4}]=>[3,2,6,1,5,4]
[4,2,2,1,5,6]=>[{4},{2,3},{1},{5},{6}]=>[4,2,3,1,5,6]
[4,2,2,1,6,5]=>[{4},{2,3},{1},{6},{5}]=>[4,2,3,1,6,5]
[4,2,2,5,1,6]=>[{5},{2,3},{1},{4},{6}]=>[5,2,3,1,4,6]
[4,2,2,5,6,1]=>[{6},{2,3},{1},{4},{5}]=>[6,2,3,1,4,5]
[4,2,2,6,1,5]=>[{5},{2,3},{1},{6},{4}]=>[5,2,3,1,6,4]
[4,2,2,6,5,1]=>[{6},{2,3},{1},{5},{4}]=>[6,2,3,1,5,4]
[4,2,5,1,2,6]=>[{4},{2,5},{1},{3},{6}]=>[4,2,5,1,3,6]
[4,2,5,1,6,2]=>[{4},{2,6},{1},{3},{5}]=>[4,2,6,1,3,5]
[4,2,5,2,1,6]=>[{5},{2,4},{1},{3},{6}]=>[5,2,4,1,3,6]
[4,2,5,2,6,1]=>[{6},{2,4},{1},{3},{5}]=>[6,2,4,1,3,5]
[4,2,5,6,1,2]=>[{5},{2,6},{1},{3},{4}]=>[5,2,6,1,3,4]
[4,2,5,6,2,1]=>[{6},{2,5},{1},{3},{4}]=>[6,2,5,1,3,4]
[4,2,6,1,2,5]=>[{4},{2,5},{1},{6},{3}]=>[4,2,5,1,6,3]
[4,2,6,1,5,2]=>[{4},{2,6},{1},{5},{3}]=>[4,2,6,1,5,3]
[4,2,6,2,1,5]=>[{5},{2,4},{1},{6},{3}]=>[5,2,4,1,6,3]
[4,2,6,2,5,1]=>[{6},{2,4},{1},{5},{3}]=>[6,2,4,1,5,3]
[4,2,6,5,1,2]=>[{5},{2,6},{1},{4},{3}]=>[5,2,6,1,4,3]
[4,2,6,5,2,1]=>[{6},{2,5},{1},{4},{3}]=>[6,2,5,1,4,3]
[4,5,1,2,2,6]=>[{3},{4,5},{1},{2},{6}]=>[3,4,5,1,2,6]
[4,5,1,2,6,2]=>[{3},{4,6},{1},{2},{5}]=>[3,4,6,1,2,5]
[4,5,1,6,2,2]=>[{3},{5,6},{1},{2},{4}]=>[3,5,6,1,2,4]
[4,5,2,1,2,6]=>[{4},{3,5},{1},{2},{6}]=>[4,3,5,1,2,6]
[4,5,2,1,6,2]=>[{4},{3,6},{1},{2},{5}]=>[4,3,6,1,2,5]
[4,5,2,2,1,6]=>[{5},{3,4},{1},{2},{6}]=>[5,3,4,1,2,6]
[4,5,2,2,6,1]=>[{6},{3,4},{1},{2},{5}]=>[6,3,4,1,2,5]
[4,5,2,6,1,2]=>[{5},{3,6},{1},{2},{4}]=>[5,3,6,1,2,4]
[4,5,2,6,2,1]=>[{6},{3,5},{1},{2},{4}]=>[6,3,5,1,2,4]
[4,5,6,1,2,2]=>[{4},{5,6},{1},{2},{3}]=>[4,5,6,1,2,3]
[4,5,6,2,1,2]=>[{5},{4,6},{1},{2},{3}]=>[5,4,6,1,2,3]
[4,5,6,2,2,1]=>[{6},{4,5},{1},{2},{3}]=>[6,4,5,1,2,3]
[4,6,1,2,2,5]=>[{3},{4,5},{1},{6},{2}]=>[3,4,5,1,6,2]
[4,6,1,2,5,2]=>[{3},{4,6},{1},{5},{2}]=>[3,4,6,1,5,2]
[4,6,1,5,2,2]=>[{3},{5,6},{1},{4},{2}]=>[3,5,6,1,4,2]
[4,6,2,1,2,5]=>[{4},{3,5},{1},{6},{2}]=>[4,3,5,1,6,2]
[4,6,2,1,5,2]=>[{4},{3,6},{1},{5},{2}]=>[4,3,6,1,5,2]
[4,6,2,2,1,5]=>[{5},{3,4},{1},{6},{2}]=>[5,3,4,1,6,2]
[4,6,2,2,5,1]=>[{6},{3,4},{1},{5},{2}]=>[6,3,4,1,5,2]
[4,6,2,5,1,2]=>[{5},{3,6},{1},{4},{2}]=>[5,3,6,1,4,2]
[4,6,2,5,2,1]=>[{6},{3,5},{1},{4},{2}]=>[6,3,5,1,4,2]
[4,6,5,1,2,2]=>[{4},{5,6},{1},{3},{2}]=>[4,5,6,1,3,2]
[4,6,5,2,1,2]=>[{5},{4,6},{1},{3},{2}]=>[5,4,6,1,3,2]
[4,6,5,2,2,1]=>[{6},{4,5},{1},{3},{2}]=>[6,4,5,1,3,2]
[5,1,2,2,4,6]=>[{2},{3,4},{5},{1},{6}]=>[2,3,4,5,1,6]
[5,1,2,2,6,4]=>[{2},{3,4},{6},{1},{5}]=>[2,3,4,6,1,5]
[5,1,2,4,2,6]=>[{2},{3,5},{4},{1},{6}]=>[2,3,5,4,1,6]
[5,1,2,4,6,2]=>[{2},{3,6},{4},{1},{5}]=>[2,3,6,4,1,5]
[5,1,2,6,2,4]=>[{2},{3,5},{6},{1},{4}]=>[2,3,5,6,1,4]
[5,1,2,6,4,2]=>[{2},{3,6},{5},{1},{4}]=>[2,3,6,5,1,4]
[5,1,4,2,2,6]=>[{2},{4,5},{3},{1},{6}]=>[2,4,5,3,1,6]
[5,1,4,2,6,2]=>[{2},{4,6},{3},{1},{5}]=>[2,4,6,3,1,5]
[5,1,4,6,2,2]=>[{2},{5,6},{3},{1},{4}]=>[2,5,6,3,1,4]
[5,1,6,2,2,4]=>[{2},{4,5},{6},{1},{3}]=>[2,4,5,6,1,3]
[5,1,6,2,4,2]=>[{2},{4,6},{5},{1},{3}]=>[2,4,6,5,1,3]
[5,1,6,4,2,2]=>[{2},{5,6},{4},{1},{3}]=>[2,5,6,4,1,3]
[5,2,1,2,4,6]=>[{3},{2,4},{5},{1},{6}]=>[3,2,4,5,1,6]
[5,2,1,2,6,4]=>[{3},{2,4},{6},{1},{5}]=>[3,2,4,6,1,5]
[5,2,1,4,2,6]=>[{3},{2,5},{4},{1},{6}]=>[3,2,5,4,1,6]
[5,2,1,4,6,2]=>[{3},{2,6},{4},{1},{5}]=>[3,2,6,4,1,5]
[5,2,1,6,2,4]=>[{3},{2,5},{6},{1},{4}]=>[3,2,5,6,1,4]
[5,2,1,6,4,2]=>[{3},{2,6},{5},{1},{4}]=>[3,2,6,5,1,4]
[5,2,2,1,4,6]=>[{4},{2,3},{5},{1},{6}]=>[4,2,3,5,1,6]
[5,2,2,1,6,4]=>[{4},{2,3},{6},{1},{5}]=>[4,2,3,6,1,5]
[5,2,2,4,1,6]=>[{5},{2,3},{4},{1},{6}]=>[5,2,3,4,1,6]
[5,2,2,4,6,1]=>[{6},{2,3},{4},{1},{5}]=>[6,2,3,4,1,5]
[5,2,2,6,1,4]=>[{5},{2,3},{6},{1},{4}]=>[5,2,3,6,1,4]
[5,2,2,6,4,1]=>[{6},{2,3},{5},{1},{4}]=>[6,2,3,5,1,4]
[5,2,4,1,2,6]=>[{4},{2,5},{3},{1},{6}]=>[4,2,5,3,1,6]
[5,2,4,1,6,2]=>[{4},{2,6},{3},{1},{5}]=>[4,2,6,3,1,5]
[5,2,4,2,1,6]=>[{5},{2,4},{3},{1},{6}]=>[5,2,4,3,1,6]
[5,2,4,2,6,1]=>[{6},{2,4},{3},{1},{5}]=>[6,2,4,3,1,5]
[5,2,4,6,1,2]=>[{5},{2,6},{3},{1},{4}]=>[5,2,6,3,1,4]
[5,2,4,6,2,1]=>[{6},{2,5},{3},{1},{4}]=>[6,2,5,3,1,4]
[5,2,6,1,2,4]=>[{4},{2,5},{6},{1},{3}]=>[4,2,5,6,1,3]
[5,2,6,1,4,2]=>[{4},{2,6},{5},{1},{3}]=>[4,2,6,5,1,3]
[5,2,6,2,1,4]=>[{5},{2,4},{6},{1},{3}]=>[5,2,4,6,1,3]
[5,2,6,2,4,1]=>[{6},{2,4},{5},{1},{3}]=>[6,2,4,5,1,3]
[5,2,6,4,1,2]=>[{5},{2,6},{4},{1},{3}]=>[5,2,6,4,1,3]
[5,2,6,4,2,1]=>[{6},{2,5},{4},{1},{3}]=>[6,2,5,4,1,3]
[5,4,1,2,2,6]=>[{3},{4,5},{2},{1},{6}]=>[3,4,5,2,1,6]
[5,4,1,2,6,2]=>[{3},{4,6},{2},{1},{5}]=>[3,4,6,2,1,5]
[5,4,1,6,2,2]=>[{3},{5,6},{2},{1},{4}]=>[3,5,6,2,1,4]
[5,4,2,1,2,6]=>[{4},{3,5},{2},{1},{6}]=>[4,3,5,2,1,6]
[5,4,2,1,6,2]=>[{4},{3,6},{2},{1},{5}]=>[4,3,6,2,1,5]
[5,4,2,2,1,6]=>[{5},{3,4},{2},{1},{6}]=>[5,3,4,2,1,6]
[5,4,2,2,6,1]=>[{6},{3,4},{2},{1},{5}]=>[6,3,4,2,1,5]
[5,4,2,6,1,2]=>[{5},{3,6},{2},{1},{4}]=>[5,3,6,2,1,4]
[5,4,2,6,2,1]=>[{6},{3,5},{2},{1},{4}]=>[6,3,5,2,1,4]
[5,4,6,1,2,2]=>[{4},{5,6},{2},{1},{3}]=>[4,5,6,2,1,3]
[5,4,6,2,1,2]=>[{5},{4,6},{2},{1},{3}]=>[5,4,6,2,1,3]
[5,4,6,2,2,1]=>[{6},{4,5},{2},{1},{3}]=>[6,4,5,2,1,3]
[5,6,1,2,2,4]=>[{3},{4,5},{6},{1},{2}]=>[3,4,5,6,1,2]
[5,6,1,2,4,2]=>[{3},{4,6},{5},{1},{2}]=>[3,4,6,5,1,2]
[5,6,1,4,2,2]=>[{3},{5,6},{4},{1},{2}]=>[3,5,6,4,1,2]
[5,6,2,1,2,4]=>[{4},{3,5},{6},{1},{2}]=>[4,3,5,6,1,2]
[5,6,2,1,4,2]=>[{4},{3,6},{5},{1},{2}]=>[4,3,6,5,1,2]
[5,6,2,2,1,4]=>[{5},{3,4},{6},{1},{2}]=>[5,3,4,6,1,2]
[5,6,2,2,4,1]=>[{6},{3,4},{5},{1},{2}]=>[6,3,4,5,1,2]
[5,6,2,4,1,2]=>[{5},{3,6},{4},{1},{2}]=>[5,3,6,4,1,2]
[5,6,2,4,2,1]=>[{6},{3,5},{4},{1},{2}]=>[6,3,5,4,1,2]
[5,6,4,1,2,2]=>[{4},{5,6},{3},{1},{2}]=>[4,5,6,3,1,2]
[5,6,4,2,1,2]=>[{5},{4,6},{3},{1},{2}]=>[5,4,6,3,1,2]
[5,6,4,2,2,1]=>[{6},{4,5},{3},{1},{2}]=>[6,4,5,3,1,2]
[6,1,2,2,4,5]=>[{2},{3,4},{5},{6},{1}]=>[2,3,4,5,6,1]
[6,1,2,2,5,4]=>[{2},{3,4},{6},{5},{1}]=>[2,3,4,6,5,1]
[6,1,2,4,2,5]=>[{2},{3,5},{4},{6},{1}]=>[2,3,5,4,6,1]
[6,1,2,4,5,2]=>[{2},{3,6},{4},{5},{1}]=>[2,3,6,4,5,1]
[6,1,2,5,2,4]=>[{2},{3,5},{6},{4},{1}]=>[2,3,5,6,4,1]
[6,1,2,5,4,2]=>[{2},{3,6},{5},{4},{1}]=>[2,3,6,5,4,1]
[6,1,4,2,2,5]=>[{2},{4,5},{3},{6},{1}]=>[2,4,5,3,6,1]
[6,1,4,2,5,2]=>[{2},{4,6},{3},{5},{1}]=>[2,4,6,3,5,1]
[6,1,4,5,2,2]=>[{2},{5,6},{3},{4},{1}]=>[2,5,6,3,4,1]
[6,1,5,2,2,4]=>[{2},{4,5},{6},{3},{1}]=>[2,4,5,6,3,1]
[6,1,5,2,4,2]=>[{2},{4,6},{5},{3},{1}]=>[2,4,6,5,3,1]
[6,1,5,4,2,2]=>[{2},{5,6},{4},{3},{1}]=>[2,5,6,4,3,1]
[6,2,1,2,4,5]=>[{3},{2,4},{5},{6},{1}]=>[3,2,4,5,6,1]
[6,2,1,2,5,4]=>[{3},{2,4},{6},{5},{1}]=>[3,2,4,6,5,1]
[6,2,1,4,2,5]=>[{3},{2,5},{4},{6},{1}]=>[3,2,5,4,6,1]
[6,2,1,4,5,2]=>[{3},{2,6},{4},{5},{1}]=>[3,2,6,4,5,1]
[6,2,1,5,2,4]=>[{3},{2,5},{6},{4},{1}]=>[3,2,5,6,4,1]
[6,2,1,5,4,2]=>[{3},{2,6},{5},{4},{1}]=>[3,2,6,5,4,1]
[6,2,2,1,4,5]=>[{4},{2,3},{5},{6},{1}]=>[4,2,3,5,6,1]
[6,2,2,1,5,4]=>[{4},{2,3},{6},{5},{1}]=>[4,2,3,6,5,1]
[6,2,2,4,1,5]=>[{5},{2,3},{4},{6},{1}]=>[5,2,3,4,6,1]
[6,2,2,4,5,1]=>[{6},{2,3},{4},{5},{1}]=>[6,2,3,4,5,1]
[6,2,2,5,1,4]=>[{5},{2,3},{6},{4},{1}]=>[5,2,3,6,4,1]
[6,2,2,5,4,1]=>[{6},{2,3},{5},{4},{1}]=>[6,2,3,5,4,1]
[6,2,4,1,2,5]=>[{4},{2,5},{3},{6},{1}]=>[4,2,5,3,6,1]
[6,2,4,1,5,2]=>[{4},{2,6},{3},{5},{1}]=>[4,2,6,3,5,1]
[6,2,4,2,1,5]=>[{5},{2,4},{3},{6},{1}]=>[5,2,4,3,6,1]
[6,2,4,2,5,1]=>[{6},{2,4},{3},{5},{1}]=>[6,2,4,3,5,1]
[6,2,4,5,1,2]=>[{5},{2,6},{3},{4},{1}]=>[5,2,6,3,4,1]
[6,2,4,5,2,1]=>[{6},{2,5},{3},{4},{1}]=>[6,2,5,3,4,1]
[6,2,5,1,2,4]=>[{4},{2,5},{6},{3},{1}]=>[4,2,5,6,3,1]
[6,2,5,1,4,2]=>[{4},{2,6},{5},{3},{1}]=>[4,2,6,5,3,1]
[6,2,5,2,1,4]=>[{5},{2,4},{6},{3},{1}]=>[5,2,4,6,3,1]
[6,2,5,2,4,1]=>[{6},{2,4},{5},{3},{1}]=>[6,2,4,5,3,1]
[6,2,5,4,1,2]=>[{5},{2,6},{4},{3},{1}]=>[5,2,6,4,3,1]
[6,2,5,4,2,1]=>[{6},{2,5},{4},{3},{1}]=>[6,2,5,4,3,1]
[6,4,1,2,2,5]=>[{3},{4,5},{2},{6},{1}]=>[3,4,5,2,6,1]
[6,4,1,2,5,2]=>[{3},{4,6},{2},{5},{1}]=>[3,4,6,2,5,1]
[6,4,1,5,2,2]=>[{3},{5,6},{2},{4},{1}]=>[3,5,6,2,4,1]
[6,4,2,1,2,5]=>[{4},{3,5},{2},{6},{1}]=>[4,3,5,2,6,1]
[6,4,2,1,5,2]=>[{4},{3,6},{2},{5},{1}]=>[4,3,6,2,5,1]
[6,4,2,2,1,5]=>[{5},{3,4},{2},{6},{1}]=>[5,3,4,2,6,1]
[6,4,2,2,5,1]=>[{6},{3,4},{2},{5},{1}]=>[6,3,4,2,5,1]
[6,4,2,5,1,2]=>[{5},{3,6},{2},{4},{1}]=>[5,3,6,2,4,1]
[6,4,2,5,2,1]=>[{6},{3,5},{2},{4},{1}]=>[6,3,5,2,4,1]
[6,4,5,1,2,2]=>[{4},{5,6},{2},{3},{1}]=>[4,5,6,2,3,1]
[6,4,5,2,1,2]=>[{5},{4,6},{2},{3},{1}]=>[5,4,6,2,3,1]
[6,4,5,2,2,1]=>[{6},{4,5},{2},{3},{1}]=>[6,4,5,2,3,1]
[6,5,1,2,2,4]=>[{3},{4,5},{6},{2},{1}]=>[3,4,5,6,2,1]
[6,5,1,2,4,2]=>[{3},{4,6},{5},{2},{1}]=>[3,4,6,5,2,1]
[6,5,1,4,2,2]=>[{3},{5,6},{4},{2},{1}]=>[3,5,6,4,2,1]
[6,5,2,1,2,4]=>[{4},{3,5},{6},{2},{1}]=>[4,3,5,6,2,1]
[6,5,2,1,4,2]=>[{4},{3,6},{5},{2},{1}]=>[4,3,6,5,2,1]
[6,5,2,2,1,4]=>[{5},{3,4},{6},{2},{1}]=>[5,3,4,6,2,1]
[6,5,2,2,4,1]=>[{6},{3,4},{5},{2},{1}]=>[6,3,4,5,2,1]
[6,5,2,4,1,2]=>[{5},{3,6},{4},{2},{1}]=>[5,3,6,4,2,1]
[6,5,2,4,2,1]=>[{6},{3,5},{4},{2},{1}]=>[6,3,5,4,2,1]
[6,5,4,1,2,2]=>[{4},{5,6},{3},{2},{1}]=>[4,5,6,3,2,1]
[6,5,4,2,1,2]=>[{5},{4,6},{3},{2},{1}]=>[5,4,6,3,2,1]
[6,5,4,2,2,1]=>[{6},{4,5},{3},{2},{1}]=>[6,4,5,3,2,1]
[1,2,3,3,3,3]=>[{1},{2},{3,4,5,6}]=>[1,2,3,4,5,6]
[1,3,2,3,3,3]=>[{1},{3},{2,4,5,6}]=>[1,3,2,4,5,6]
[1,3,3,2,3,3]=>[{1},{4},{2,3,5,6}]=>[1,4,2,3,5,6]
[1,3,3,3,2,3]=>[{1},{5},{2,3,4,6}]=>[1,5,2,3,4,6]
[1,3,3,3,3,2]=>[{1},{6},{2,3,4,5}]=>[1,6,2,3,4,5]
[2,1,3,3,3,3]=>[{2},{1},{3,4,5,6}]=>[2,1,3,4,5,6]
[2,3,1,3,3,3]=>[{3},{1},{2,4,5,6}]=>[3,1,2,4,5,6]
[2,3,3,1,3,3]=>[{4},{1},{2,3,5,6}]=>[4,1,2,3,5,6]
[2,3,3,3,1,3]=>[{5},{1},{2,3,4,6}]=>[5,1,2,3,4,6]
[2,3,3,3,3,1]=>[{6},{1},{2,3,4,5}]=>[6,1,2,3,4,5]
[3,1,2,3,3,3]=>[{2},{3},{1,4,5,6}]=>[2,3,1,4,5,6]
[3,1,3,2,3,3]=>[{2},{4},{1,3,5,6}]=>[2,4,1,3,5,6]
[3,1,3,3,2,3]=>[{2},{5},{1,3,4,6}]=>[2,5,1,3,4,6]
[3,1,3,3,3,2]=>[{2},{6},{1,3,4,5}]=>[2,6,1,3,4,5]
[3,2,1,3,3,3]=>[{3},{2},{1,4,5,6}]=>[3,2,1,4,5,6]
[3,2,3,1,3,3]=>[{4},{2},{1,3,5,6}]=>[4,2,1,3,5,6]
[3,2,3,3,1,3]=>[{5},{2},{1,3,4,6}]=>[5,2,1,3,4,6]
[3,2,3,3,3,1]=>[{6},{2},{1,3,4,5}]=>[6,2,1,3,4,5]
[3,3,1,2,3,3]=>[{3},{4},{1,2,5,6}]=>[3,4,1,2,5,6]
[3,3,1,3,2,3]=>[{3},{5},{1,2,4,6}]=>[3,5,1,2,4,6]
[3,3,1,3,3,2]=>[{3},{6},{1,2,4,5}]=>[3,6,1,2,4,5]
[3,3,2,1,3,3]=>[{4},{3},{1,2,5,6}]=>[4,3,1,2,5,6]
[3,3,2,3,1,3]=>[{5},{3},{1,2,4,6}]=>[5,3,1,2,4,6]
[3,3,2,3,3,1]=>[{6},{3},{1,2,4,5}]=>[6,3,1,2,4,5]
[3,3,3,1,2,3]=>[{4},{5},{1,2,3,6}]=>[4,5,1,2,3,6]
[3,3,3,1,3,2]=>[{4},{6},{1,2,3,5}]=>[4,6,1,2,3,5]
[3,3,3,2,1,3]=>[{5},{4},{1,2,3,6}]=>[5,4,1,2,3,6]
[3,3,3,2,3,1]=>[{6},{4},{1,2,3,5}]=>[6,4,1,2,3,5]
[3,3,3,3,1,2]=>[{5},{6},{1,2,3,4}]=>[5,6,1,2,3,4]
[3,3,3,3,2,1]=>[{6},{5},{1,2,3,4}]=>[6,5,1,2,3,4]
[1,2,3,3,3,4]=>[{1},{2},{3,4,5},{6}]=>[1,2,3,4,5,6]
[1,2,3,3,4,3]=>[{1},{2},{3,4,6},{5}]=>[1,2,3,4,6,5]
[1,2,3,4,3,3]=>[{1},{2},{3,5,6},{4}]=>[1,2,3,5,6,4]
[1,2,4,3,3,3]=>[{1},{2},{4,5,6},{3}]=>[1,2,4,5,6,3]
[1,3,2,3,3,4]=>[{1},{3},{2,4,5},{6}]=>[1,3,2,4,5,6]
[1,3,2,3,4,3]=>[{1},{3},{2,4,6},{5}]=>[1,3,2,4,6,5]
[1,3,2,4,3,3]=>[{1},{3},{2,5,6},{4}]=>[1,3,2,5,6,4]
[1,3,3,2,3,4]=>[{1},{4},{2,3,5},{6}]=>[1,4,2,3,5,6]
[1,3,3,2,4,3]=>[{1},{4},{2,3,6},{5}]=>[1,4,2,3,6,5]
[1,3,3,3,2,4]=>[{1},{5},{2,3,4},{6}]=>[1,5,2,3,4,6]
[1,3,3,3,4,2]=>[{1},{6},{2,3,4},{5}]=>[1,6,2,3,4,5]
[1,3,3,4,2,3]=>[{1},{5},{2,3,6},{4}]=>[1,5,2,3,6,4]
[1,3,3,4,3,2]=>[{1},{6},{2,3,5},{4}]=>[1,6,2,3,5,4]
[1,3,4,2,3,3]=>[{1},{4},{2,5,6},{3}]=>[1,4,2,5,6,3]
[1,3,4,3,2,3]=>[{1},{5},{2,4,6},{3}]=>[1,5,2,4,6,3]
[1,3,4,3,3,2]=>[{1},{6},{2,4,5},{3}]=>[1,6,2,4,5,3]
[1,4,2,3,3,3]=>[{1},{3},{4,5,6},{2}]=>[1,3,4,5,6,2]
[1,4,3,2,3,3]=>[{1},{4},{3,5,6},{2}]=>[1,4,3,5,6,2]
[1,4,3,3,2,3]=>[{1},{5},{3,4,6},{2}]=>[1,5,3,4,6,2]
[1,4,3,3,3,2]=>[{1},{6},{3,4,5},{2}]=>[1,6,3,4,5,2]
[2,1,3,3,3,4]=>[{2},{1},{3,4,5},{6}]=>[2,1,3,4,5,6]
[2,1,3,3,4,3]=>[{2},{1},{3,4,6},{5}]=>[2,1,3,4,6,5]
[2,1,3,4,3,3]=>[{2},{1},{3,5,6},{4}]=>[2,1,3,5,6,4]
[2,1,4,3,3,3]=>[{2},{1},{4,5,6},{3}]=>[2,1,4,5,6,3]
[2,3,1,3,3,4]=>[{3},{1},{2,4,5},{6}]=>[3,1,2,4,5,6]
[2,3,1,3,4,3]=>[{3},{1},{2,4,6},{5}]=>[3,1,2,4,6,5]
[2,3,1,4,3,3]=>[{3},{1},{2,5,6},{4}]=>[3,1,2,5,6,4]
[2,3,3,1,3,4]=>[{4},{1},{2,3,5},{6}]=>[4,1,2,3,5,6]
[2,3,3,1,4,3]=>[{4},{1},{2,3,6},{5}]=>[4,1,2,3,6,5]
[2,3,3,3,1,4]=>[{5},{1},{2,3,4},{6}]=>[5,1,2,3,4,6]
[2,3,3,3,4,1]=>[{6},{1},{2,3,4},{5}]=>[6,1,2,3,4,5]
[2,3,3,4,1,3]=>[{5},{1},{2,3,6},{4}]=>[5,1,2,3,6,4]
[2,3,3,4,3,1]=>[{6},{1},{2,3,5},{4}]=>[6,1,2,3,5,4]
[2,3,4,1,3,3]=>[{4},{1},{2,5,6},{3}]=>[4,1,2,5,6,3]
[2,3,4,3,1,3]=>[{5},{1},{2,4,6},{3}]=>[5,1,2,4,6,3]
[2,3,4,3,3,1]=>[{6},{1},{2,4,5},{3}]=>[6,1,2,4,5,3]
[2,4,1,3,3,3]=>[{3},{1},{4,5,6},{2}]=>[3,1,4,5,6,2]
[2,4,3,1,3,3]=>[{4},{1},{3,5,6},{2}]=>[4,1,3,5,6,2]
[2,4,3,3,1,3]=>[{5},{1},{3,4,6},{2}]=>[5,1,3,4,6,2]
[2,4,3,3,3,1]=>[{6},{1},{3,4,5},{2}]=>[6,1,3,4,5,2]
[3,1,2,3,3,4]=>[{2},{3},{1,4,5},{6}]=>[2,3,1,4,5,6]
[3,1,2,3,4,3]=>[{2},{3},{1,4,6},{5}]=>[2,3,1,4,6,5]
[3,1,2,4,3,3]=>[{2},{3},{1,5,6},{4}]=>[2,3,1,5,6,4]
[3,1,3,2,3,4]=>[{2},{4},{1,3,5},{6}]=>[2,4,1,3,5,6]
[3,1,3,2,4,3]=>[{2},{4},{1,3,6},{5}]=>[2,4,1,3,6,5]
[3,1,3,3,2,4]=>[{2},{5},{1,3,4},{6}]=>[2,5,1,3,4,6]
[3,1,3,3,4,2]=>[{2},{6},{1,3,4},{5}]=>[2,6,1,3,4,5]
[3,1,3,4,2,3]=>[{2},{5},{1,3,6},{4}]=>[2,5,1,3,6,4]
[3,1,3,4,3,2]=>[{2},{6},{1,3,5},{4}]=>[2,6,1,3,5,4]
[3,1,4,2,3,3]=>[{2},{4},{1,5,6},{3}]=>[2,4,1,5,6,3]
[3,1,4,3,2,3]=>[{2},{5},{1,4,6},{3}]=>[2,5,1,4,6,3]
[3,1,4,3,3,2]=>[{2},{6},{1,4,5},{3}]=>[2,6,1,4,5,3]
[3,2,1,3,3,4]=>[{3},{2},{1,4,5},{6}]=>[3,2,1,4,5,6]
[3,2,1,3,4,3]=>[{3},{2},{1,4,6},{5}]=>[3,2,1,4,6,5]
[3,2,1,4,3,3]=>[{3},{2},{1,5,6},{4}]=>[3,2,1,5,6,4]
[3,2,3,1,3,4]=>[{4},{2},{1,3,5},{6}]=>[4,2,1,3,5,6]
[3,2,3,1,4,3]=>[{4},{2},{1,3,6},{5}]=>[4,2,1,3,6,5]
[3,2,3,3,1,4]=>[{5},{2},{1,3,4},{6}]=>[5,2,1,3,4,6]
[3,2,3,3,4,1]=>[{6},{2},{1,3,4},{5}]=>[6,2,1,3,4,5]
[3,2,3,4,1,3]=>[{5},{2},{1,3,6},{4}]=>[5,2,1,3,6,4]
[3,2,3,4,3,1]=>[{6},{2},{1,3,5},{4}]=>[6,2,1,3,5,4]
[3,2,4,1,3,3]=>[{4},{2},{1,5,6},{3}]=>[4,2,1,5,6,3]
[3,2,4,3,1,3]=>[{5},{2},{1,4,6},{3}]=>[5,2,1,4,6,3]
[3,2,4,3,3,1]=>[{6},{2},{1,4,5},{3}]=>[6,2,1,4,5,3]
[3,3,1,2,3,4]=>[{3},{4},{1,2,5},{6}]=>[3,4,1,2,5,6]
[3,3,1,2,4,3]=>[{3},{4},{1,2,6},{5}]=>[3,4,1,2,6,5]
[3,3,1,3,2,4]=>[{3},{5},{1,2,4},{6}]=>[3,5,1,2,4,6]
[3,3,1,3,4,2]=>[{3},{6},{1,2,4},{5}]=>[3,6,1,2,4,5]
[3,3,1,4,2,3]=>[{3},{5},{1,2,6},{4}]=>[3,5,1,2,6,4]
[3,3,1,4,3,2]=>[{3},{6},{1,2,5},{4}]=>[3,6,1,2,5,4]
[3,3,2,1,3,4]=>[{4},{3},{1,2,5},{6}]=>[4,3,1,2,5,6]
[3,3,2,1,4,3]=>[{4},{3},{1,2,6},{5}]=>[4,3,1,2,6,5]
[3,3,2,3,1,4]=>[{5},{3},{1,2,4},{6}]=>[5,3,1,2,4,6]
[3,3,2,3,4,1]=>[{6},{3},{1,2,4},{5}]=>[6,3,1,2,4,5]
[3,3,2,4,1,3]=>[{5},{3},{1,2,6},{4}]=>[5,3,1,2,6,4]
[3,3,2,4,3,1]=>[{6},{3},{1,2,5},{4}]=>[6,3,1,2,5,4]
[3,3,3,1,2,4]=>[{4},{5},{1,2,3},{6}]=>[4,5,1,2,3,6]
[3,3,3,1,4,2]=>[{4},{6},{1,2,3},{5}]=>[4,6,1,2,3,5]
[3,3,3,2,1,4]=>[{5},{4},{1,2,3},{6}]=>[5,4,1,2,3,6]
[3,3,3,2,4,1]=>[{6},{4},{1,2,3},{5}]=>[6,4,1,2,3,5]
[3,3,3,4,1,2]=>[{5},{6},{1,2,3},{4}]=>[5,6,1,2,3,4]
[3,3,3,4,2,1]=>[{6},{5},{1,2,3},{4}]=>[6,5,1,2,3,4]
[3,3,4,1,2,3]=>[{4},{5},{1,2,6},{3}]=>[4,5,1,2,6,3]
[3,3,4,1,3,2]=>[{4},{6},{1,2,5},{3}]=>[4,6,1,2,5,3]
[3,3,4,2,1,3]=>[{5},{4},{1,2,6},{3}]=>[5,4,1,2,6,3]
[3,3,4,2,3,1]=>[{6},{4},{1,2,5},{3}]=>[6,4,1,2,5,3]
[3,3,4,3,1,2]=>[{5},{6},{1,2,4},{3}]=>[5,6,1,2,4,3]
[3,3,4,3,2,1]=>[{6},{5},{1,2,4},{3}]=>[6,5,1,2,4,3]
[3,4,1,2,3,3]=>[{3},{4},{1,5,6},{2}]=>[3,4,1,5,6,2]
[3,4,1,3,2,3]=>[{3},{5},{1,4,6},{2}]=>[3,5,1,4,6,2]
[3,4,1,3,3,2]=>[{3},{6},{1,4,5},{2}]=>[3,6,1,4,5,2]
[3,4,2,1,3,3]=>[{4},{3},{1,5,6},{2}]=>[4,3,1,5,6,2]
[3,4,2,3,1,3]=>[{5},{3},{1,4,6},{2}]=>[5,3,1,4,6,2]
[3,4,2,3,3,1]=>[{6},{3},{1,4,5},{2}]=>[6,3,1,4,5,2]
[3,4,3,1,2,3]=>[{4},{5},{1,3,6},{2}]=>[4,5,1,3,6,2]
[3,4,3,1,3,2]=>[{4},{6},{1,3,5},{2}]=>[4,6,1,3,5,2]
[3,4,3,2,1,3]=>[{5},{4},{1,3,6},{2}]=>[5,4,1,3,6,2]
[3,4,3,2,3,1]=>[{6},{4},{1,3,5},{2}]=>[6,4,1,3,5,2]
[3,4,3,3,1,2]=>[{5},{6},{1,3,4},{2}]=>[5,6,1,3,4,2]
[3,4,3,3,2,1]=>[{6},{5},{1,3,4},{2}]=>[6,5,1,3,4,2]
[4,1,2,3,3,3]=>[{2},{3},{4,5,6},{1}]=>[2,3,4,5,6,1]
[4,1,3,2,3,3]=>[{2},{4},{3,5,6},{1}]=>[2,4,3,5,6,1]
[4,1,3,3,2,3]=>[{2},{5},{3,4,6},{1}]=>[2,5,3,4,6,1]
[4,1,3,3,3,2]=>[{2},{6},{3,4,5},{1}]=>[2,6,3,4,5,1]
[4,2,1,3,3,3]=>[{3},{2},{4,5,6},{1}]=>[3,2,4,5,6,1]
[4,2,3,1,3,3]=>[{4},{2},{3,5,6},{1}]=>[4,2,3,5,6,1]
[4,2,3,3,1,3]=>[{5},{2},{3,4,6},{1}]=>[5,2,3,4,6,1]
[4,2,3,3,3,1]=>[{6},{2},{3,4,5},{1}]=>[6,2,3,4,5,1]
[4,3,1,2,3,3]=>[{3},{4},{2,5,6},{1}]=>[3,4,2,5,6,1]
[4,3,1,3,2,3]=>[{3},{5},{2,4,6},{1}]=>[3,5,2,4,6,1]
[4,3,1,3,3,2]=>[{3},{6},{2,4,5},{1}]=>[3,6,2,4,5,1]
[4,3,2,1,3,3]=>[{4},{3},{2,5,6},{1}]=>[4,3,2,5,6,1]
[4,3,2,3,1,3]=>[{5},{3},{2,4,6},{1}]=>[5,3,2,4,6,1]
[4,3,2,3,3,1]=>[{6},{3},{2,4,5},{1}]=>[6,3,2,4,5,1]
[4,3,3,1,2,3]=>[{4},{5},{2,3,6},{1}]=>[4,5,2,3,6,1]
[4,3,3,1,3,2]=>[{4},{6},{2,3,5},{1}]=>[4,6,2,3,5,1]
[4,3,3,2,1,3]=>[{5},{4},{2,3,6},{1}]=>[5,4,2,3,6,1]
[4,3,3,2,3,1]=>[{6},{4},{2,3,5},{1}]=>[6,4,2,3,5,1]
[4,3,3,3,1,2]=>[{5},{6},{2,3,4},{1}]=>[5,6,2,3,4,1]
[4,3,3,3,2,1]=>[{6},{5},{2,3,4},{1}]=>[6,5,2,3,4,1]
[1,2,3,3,3,5]=>[{1},{2},{3,4,5},{6}]=>[1,2,3,4,5,6]
[1,2,3,3,5,3]=>[{1},{2},{3,4,6},{5}]=>[1,2,3,4,6,5]
[1,2,3,5,3,3]=>[{1},{2},{3,5,6},{4}]=>[1,2,3,5,6,4]
[1,2,5,3,3,3]=>[{1},{2},{4,5,6},{3}]=>[1,2,4,5,6,3]
[1,3,2,3,3,5]=>[{1},{3},{2,4,5},{6}]=>[1,3,2,4,5,6]
[1,3,2,3,5,3]=>[{1},{3},{2,4,6},{5}]=>[1,3,2,4,6,5]
[1,3,2,5,3,3]=>[{1},{3},{2,5,6},{4}]=>[1,3,2,5,6,4]
[1,3,3,2,3,5]=>[{1},{4},{2,3,5},{6}]=>[1,4,2,3,5,6]
[1,3,3,2,5,3]=>[{1},{4},{2,3,6},{5}]=>[1,4,2,3,6,5]
[1,3,3,3,2,5]=>[{1},{5},{2,3,4},{6}]=>[1,5,2,3,4,6]
[1,3,3,3,5,2]=>[{1},{6},{2,3,4},{5}]=>[1,6,2,3,4,5]
[1,3,3,5,2,3]=>[{1},{5},{2,3,6},{4}]=>[1,5,2,3,6,4]
[1,3,3,5,3,2]=>[{1},{6},{2,3,5},{4}]=>[1,6,2,3,5,4]
[1,3,5,2,3,3]=>[{1},{4},{2,5,6},{3}]=>[1,4,2,5,6,3]
[1,3,5,3,2,3]=>[{1},{5},{2,4,6},{3}]=>[1,5,2,4,6,3]
[1,3,5,3,3,2]=>[{1},{6},{2,4,5},{3}]=>[1,6,2,4,5,3]
[1,5,2,3,3,3]=>[{1},{3},{4,5,6},{2}]=>[1,3,4,5,6,2]
[1,5,3,2,3,3]=>[{1},{4},{3,5,6},{2}]=>[1,4,3,5,6,2]
[1,5,3,3,2,3]=>[{1},{5},{3,4,6},{2}]=>[1,5,3,4,6,2]
[1,5,3,3,3,2]=>[{1},{6},{3,4,5},{2}]=>[1,6,3,4,5,2]
[2,1,3,3,3,5]=>[{2},{1},{3,4,5},{6}]=>[2,1,3,4,5,6]
[2,1,3,3,5,3]=>[{2},{1},{3,4,6},{5}]=>[2,1,3,4,6,5]
[2,1,3,5,3,3]=>[{2},{1},{3,5,6},{4}]=>[2,1,3,5,6,4]
[2,1,5,3,3,3]=>[{2},{1},{4,5,6},{3}]=>[2,1,4,5,6,3]
[2,3,1,3,3,5]=>[{3},{1},{2,4,5},{6}]=>[3,1,2,4,5,6]
[2,3,1,3,5,3]=>[{3},{1},{2,4,6},{5}]=>[3,1,2,4,6,5]
[2,3,1,5,3,3]=>[{3},{1},{2,5,6},{4}]=>[3,1,2,5,6,4]
[2,3,3,1,3,5]=>[{4},{1},{2,3,5},{6}]=>[4,1,2,3,5,6]
[2,3,3,1,5,3]=>[{4},{1},{2,3,6},{5}]=>[4,1,2,3,6,5]
[2,3,3,3,1,5]=>[{5},{1},{2,3,4},{6}]=>[5,1,2,3,4,6]
[2,3,3,3,5,1]=>[{6},{1},{2,3,4},{5}]=>[6,1,2,3,4,5]
[2,3,3,5,1,3]=>[{5},{1},{2,3,6},{4}]=>[5,1,2,3,6,4]
[2,3,3,5,3,1]=>[{6},{1},{2,3,5},{4}]=>[6,1,2,3,5,4]
[2,3,5,1,3,3]=>[{4},{1},{2,5,6},{3}]=>[4,1,2,5,6,3]
[2,3,5,3,1,3]=>[{5},{1},{2,4,6},{3}]=>[5,1,2,4,6,3]
[2,3,5,3,3,1]=>[{6},{1},{2,4,5},{3}]=>[6,1,2,4,5,3]
[2,5,1,3,3,3]=>[{3},{1},{4,5,6},{2}]=>[3,1,4,5,6,2]
[2,5,3,1,3,3]=>[{4},{1},{3,5,6},{2}]=>[4,1,3,5,6,2]
[2,5,3,3,1,3]=>[{5},{1},{3,4,6},{2}]=>[5,1,3,4,6,2]
[2,5,3,3,3,1]=>[{6},{1},{3,4,5},{2}]=>[6,1,3,4,5,2]
[3,1,2,3,3,5]=>[{2},{3},{1,4,5},{6}]=>[2,3,1,4,5,6]
[3,1,2,3,5,3]=>[{2},{3},{1,4,6},{5}]=>[2,3,1,4,6,5]
[3,1,2,5,3,3]=>[{2},{3},{1,5,6},{4}]=>[2,3,1,5,6,4]
[3,1,3,2,3,5]=>[{2},{4},{1,3,5},{6}]=>[2,4,1,3,5,6]
[3,1,3,2,5,3]=>[{2},{4},{1,3,6},{5}]=>[2,4,1,3,6,5]
[3,1,3,3,2,5]=>[{2},{5},{1,3,4},{6}]=>[2,5,1,3,4,6]
[3,1,3,3,5,2]=>[{2},{6},{1,3,4},{5}]=>[2,6,1,3,4,5]
[3,1,3,5,2,3]=>[{2},{5},{1,3,6},{4}]=>[2,5,1,3,6,4]
[3,1,3,5,3,2]=>[{2},{6},{1,3,5},{4}]=>[2,6,1,3,5,4]
[3,1,5,2,3,3]=>[{2},{4},{1,5,6},{3}]=>[2,4,1,5,6,3]
[3,1,5,3,2,3]=>[{2},{5},{1,4,6},{3}]=>[2,5,1,4,6,3]
[3,1,5,3,3,2]=>[{2},{6},{1,4,5},{3}]=>[2,6,1,4,5,3]
[3,2,1,3,3,5]=>[{3},{2},{1,4,5},{6}]=>[3,2,1,4,5,6]
[3,2,1,3,5,3]=>[{3},{2},{1,4,6},{5}]=>[3,2,1,4,6,5]
[3,2,1,5,3,3]=>[{3},{2},{1,5,6},{4}]=>[3,2,1,5,6,4]
[3,2,3,1,3,5]=>[{4},{2},{1,3,5},{6}]=>[4,2,1,3,5,6]
[3,2,3,1,5,3]=>[{4},{2},{1,3,6},{5}]=>[4,2,1,3,6,5]
[3,2,3,3,1,5]=>[{5},{2},{1,3,4},{6}]=>[5,2,1,3,4,6]
[3,2,3,3,5,1]=>[{6},{2},{1,3,4},{5}]=>[6,2,1,3,4,5]
[3,2,3,5,1,3]=>[{5},{2},{1,3,6},{4}]=>[5,2,1,3,6,4]
[3,2,3,5,3,1]=>[{6},{2},{1,3,5},{4}]=>[6,2,1,3,5,4]
[3,2,5,1,3,3]=>[{4},{2},{1,5,6},{3}]=>[4,2,1,5,6,3]
[3,2,5,3,1,3]=>[{5},{2},{1,4,6},{3}]=>[5,2,1,4,6,3]
[3,2,5,3,3,1]=>[{6},{2},{1,4,5},{3}]=>[6,2,1,4,5,3]
[3,3,1,2,3,5]=>[{3},{4},{1,2,5},{6}]=>[3,4,1,2,5,6]
[3,3,1,2,5,3]=>[{3},{4},{1,2,6},{5}]=>[3,4,1,2,6,5]
[3,3,1,3,2,5]=>[{3},{5},{1,2,4},{6}]=>[3,5,1,2,4,6]
[3,3,1,3,5,2]=>[{3},{6},{1,2,4},{5}]=>[3,6,1,2,4,5]
[3,3,1,5,2,3]=>[{3},{5},{1,2,6},{4}]=>[3,5,1,2,6,4]
[3,3,1,5,3,2]=>[{3},{6},{1,2,5},{4}]=>[3,6,1,2,5,4]
[3,3,2,1,3,5]=>[{4},{3},{1,2,5},{6}]=>[4,3,1,2,5,6]
[3,3,2,1,5,3]=>[{4},{3},{1,2,6},{5}]=>[4,3,1,2,6,5]
[3,3,2,3,1,5]=>[{5},{3},{1,2,4},{6}]=>[5,3,1,2,4,6]
[3,3,2,3,5,1]=>[{6},{3},{1,2,4},{5}]=>[6,3,1,2,4,5]
[3,3,2,5,1,3]=>[{5},{3},{1,2,6},{4}]=>[5,3,1,2,6,4]
[3,3,2,5,3,1]=>[{6},{3},{1,2,5},{4}]=>[6,3,1,2,5,4]
[3,3,3,1,2,5]=>[{4},{5},{1,2,3},{6}]=>[4,5,1,2,3,6]
[3,3,3,1,5,2]=>[{4},{6},{1,2,3},{5}]=>[4,6,1,2,3,5]
[3,3,3,2,1,5]=>[{5},{4},{1,2,3},{6}]=>[5,4,1,2,3,6]
[3,3,3,2,5,1]=>[{6},{4},{1,2,3},{5}]=>[6,4,1,2,3,5]
[3,3,3,5,1,2]=>[{5},{6},{1,2,3},{4}]=>[5,6,1,2,3,4]
[3,3,3,5,2,1]=>[{6},{5},{1,2,3},{4}]=>[6,5,1,2,3,4]
[3,3,5,1,2,3]=>[{4},{5},{1,2,6},{3}]=>[4,5,1,2,6,3]
[3,3,5,1,3,2]=>[{4},{6},{1,2,5},{3}]=>[4,6,1,2,5,3]
[3,3,5,2,1,3]=>[{5},{4},{1,2,6},{3}]=>[5,4,1,2,6,3]
[3,3,5,2,3,1]=>[{6},{4},{1,2,5},{3}]=>[6,4,1,2,5,3]
[3,3,5,3,1,2]=>[{5},{6},{1,2,4},{3}]=>[5,6,1,2,4,3]
[3,3,5,3,2,1]=>[{6},{5},{1,2,4},{3}]=>[6,5,1,2,4,3]
[3,5,1,2,3,3]=>[{3},{4},{1,5,6},{2}]=>[3,4,1,5,6,2]
[3,5,1,3,2,3]=>[{3},{5},{1,4,6},{2}]=>[3,5,1,4,6,2]
[3,5,1,3,3,2]=>[{3},{6},{1,4,5},{2}]=>[3,6,1,4,5,2]
[3,5,2,1,3,3]=>[{4},{3},{1,5,6},{2}]=>[4,3,1,5,6,2]
[3,5,2,3,1,3]=>[{5},{3},{1,4,6},{2}]=>[5,3,1,4,6,2]
[3,5,2,3,3,1]=>[{6},{3},{1,4,5},{2}]=>[6,3,1,4,5,2]
[3,5,3,1,2,3]=>[{4},{5},{1,3,6},{2}]=>[4,5,1,3,6,2]
[3,5,3,1,3,2]=>[{4},{6},{1,3,5},{2}]=>[4,6,1,3,5,2]
[3,5,3,2,1,3]=>[{5},{4},{1,3,6},{2}]=>[5,4,1,3,6,2]
[3,5,3,2,3,1]=>[{6},{4},{1,3,5},{2}]=>[6,4,1,3,5,2]
[3,5,3,3,1,2]=>[{5},{6},{1,3,4},{2}]=>[5,6,1,3,4,2]
[3,5,3,3,2,1]=>[{6},{5},{1,3,4},{2}]=>[6,5,1,3,4,2]
[5,1,2,3,3,3]=>[{2},{3},{4,5,6},{1}]=>[2,3,4,5,6,1]
[5,1,3,2,3,3]=>[{2},{4},{3,5,6},{1}]=>[2,4,3,5,6,1]
[5,1,3,3,2,3]=>[{2},{5},{3,4,6},{1}]=>[2,5,3,4,6,1]
[5,1,3,3,3,2]=>[{2},{6},{3,4,5},{1}]=>[2,6,3,4,5,1]
[5,2,1,3,3,3]=>[{3},{2},{4,5,6},{1}]=>[3,2,4,5,6,1]
[5,2,3,1,3,3]=>[{4},{2},{3,5,6},{1}]=>[4,2,3,5,6,1]
[5,2,3,3,1,3]=>[{5},{2},{3,4,6},{1}]=>[5,2,3,4,6,1]
[5,2,3,3,3,1]=>[{6},{2},{3,4,5},{1}]=>[6,2,3,4,5,1]
[5,3,1,2,3,3]=>[{3},{4},{2,5,6},{1}]=>[3,4,2,5,6,1]
[5,3,1,3,2,3]=>[{3},{5},{2,4,6},{1}]=>[3,5,2,4,6,1]
[5,3,1,3,3,2]=>[{3},{6},{2,4,5},{1}]=>[3,6,2,4,5,1]
[5,3,2,1,3,3]=>[{4},{3},{2,5,6},{1}]=>[4,3,2,5,6,1]
[5,3,2,3,1,3]=>[{5},{3},{2,4,6},{1}]=>[5,3,2,4,6,1]
[5,3,2,3,3,1]=>[{6},{3},{2,4,5},{1}]=>[6,3,2,4,5,1]
[5,3,3,1,2,3]=>[{4},{5},{2,3,6},{1}]=>[4,5,2,3,6,1]
[5,3,3,1,3,2]=>[{4},{6},{2,3,5},{1}]=>[4,6,2,3,5,1]
[5,3,3,2,1,3]=>[{5},{4},{2,3,6},{1}]=>[5,4,2,3,6,1]
[5,3,3,2,3,1]=>[{6},{4},{2,3,5},{1}]=>[6,4,2,3,5,1]
[5,3,3,3,1,2]=>[{5},{6},{2,3,4},{1}]=>[5,6,2,3,4,1]
[5,3,3,3,2,1]=>[{6},{5},{2,3,4},{1}]=>[6,5,2,3,4,1]
[1,2,3,3,3,6]=>[{1},{2},{3,4,5},{6}]=>[1,2,3,4,5,6]
[1,2,3,3,6,3]=>[{1},{2},{3,4,6},{5}]=>[1,2,3,4,6,5]
[1,2,3,6,3,3]=>[{1},{2},{3,5,6},{4}]=>[1,2,3,5,6,4]
[1,2,6,3,3,3]=>[{1},{2},{4,5,6},{3}]=>[1,2,4,5,6,3]
[1,3,2,3,3,6]=>[{1},{3},{2,4,5},{6}]=>[1,3,2,4,5,6]
[1,3,2,3,6,3]=>[{1},{3},{2,4,6},{5}]=>[1,3,2,4,6,5]
[1,3,2,6,3,3]=>[{1},{3},{2,5,6},{4}]=>[1,3,2,5,6,4]
[1,3,3,2,3,6]=>[{1},{4},{2,3,5},{6}]=>[1,4,2,3,5,6]
[1,3,3,2,6,3]=>[{1},{4},{2,3,6},{5}]=>[1,4,2,3,6,5]
[1,3,3,3,2,6]=>[{1},{5},{2,3,4},{6}]=>[1,5,2,3,4,6]
[1,3,3,3,6,2]=>[{1},{6},{2,3,4},{5}]=>[1,6,2,3,4,5]
[1,3,3,6,2,3]=>[{1},{5},{2,3,6},{4}]=>[1,5,2,3,6,4]
[1,3,3,6,3,2]=>[{1},{6},{2,3,5},{4}]=>[1,6,2,3,5,4]
[1,3,6,2,3,3]=>[{1},{4},{2,5,6},{3}]=>[1,4,2,5,6,3]
[1,3,6,3,2,3]=>[{1},{5},{2,4,6},{3}]=>[1,5,2,4,6,3]
[1,3,6,3,3,2]=>[{1},{6},{2,4,5},{3}]=>[1,6,2,4,5,3]
[1,6,2,3,3,3]=>[{1},{3},{4,5,6},{2}]=>[1,3,4,5,6,2]
[1,6,3,2,3,3]=>[{1},{4},{3,5,6},{2}]=>[1,4,3,5,6,2]
[1,6,3,3,2,3]=>[{1},{5},{3,4,6},{2}]=>[1,5,3,4,6,2]
[1,6,3,3,3,2]=>[{1},{6},{3,4,5},{2}]=>[1,6,3,4,5,2]
[2,1,3,3,3,6]=>[{2},{1},{3,4,5},{6}]=>[2,1,3,4,5,6]
[2,1,3,3,6,3]=>[{2},{1},{3,4,6},{5}]=>[2,1,3,4,6,5]
[2,1,3,6,3,3]=>[{2},{1},{3,5,6},{4}]=>[2,1,3,5,6,4]
[2,1,6,3,3,3]=>[{2},{1},{4,5,6},{3}]=>[2,1,4,5,6,3]
[2,3,1,3,3,6]=>[{3},{1},{2,4,5},{6}]=>[3,1,2,4,5,6]
[2,3,1,3,6,3]=>[{3},{1},{2,4,6},{5}]=>[3,1,2,4,6,5]
[2,3,1,6,3,3]=>[{3},{1},{2,5,6},{4}]=>[3,1,2,5,6,4]
[2,3,3,1,3,6]=>[{4},{1},{2,3,5},{6}]=>[4,1,2,3,5,6]
[2,3,3,1,6,3]=>[{4},{1},{2,3,6},{5}]=>[4,1,2,3,6,5]
[2,3,3,3,1,6]=>[{5},{1},{2,3,4},{6}]=>[5,1,2,3,4,6]
[2,3,3,3,6,1]=>[{6},{1},{2,3,4},{5}]=>[6,1,2,3,4,5]
[2,3,3,6,1,3]=>[{5},{1},{2,3,6},{4}]=>[5,1,2,3,6,4]
[2,3,3,6,3,1]=>[{6},{1},{2,3,5},{4}]=>[6,1,2,3,5,4]
[2,3,6,1,3,3]=>[{4},{1},{2,5,6},{3}]=>[4,1,2,5,6,3]
[2,3,6,3,1,3]=>[{5},{1},{2,4,6},{3}]=>[5,1,2,4,6,3]
[2,3,6,3,3,1]=>[{6},{1},{2,4,5},{3}]=>[6,1,2,4,5,3]
[2,6,1,3,3,3]=>[{3},{1},{4,5,6},{2}]=>[3,1,4,5,6,2]
[2,6,3,1,3,3]=>[{4},{1},{3,5,6},{2}]=>[4,1,3,5,6,2]
[2,6,3,3,1,3]=>[{5},{1},{3,4,6},{2}]=>[5,1,3,4,6,2]
[2,6,3,3,3,1]=>[{6},{1},{3,4,5},{2}]=>[6,1,3,4,5,2]
[3,1,2,3,3,6]=>[{2},{3},{1,4,5},{6}]=>[2,3,1,4,5,6]
[3,1,2,3,6,3]=>[{2},{3},{1,4,6},{5}]=>[2,3,1,4,6,5]
[3,1,2,6,3,3]=>[{2},{3},{1,5,6},{4}]=>[2,3,1,5,6,4]
[3,1,3,2,3,6]=>[{2},{4},{1,3,5},{6}]=>[2,4,1,3,5,6]
[3,1,3,2,6,3]=>[{2},{4},{1,3,6},{5}]=>[2,4,1,3,6,5]
[3,1,3,3,2,6]=>[{2},{5},{1,3,4},{6}]=>[2,5,1,3,4,6]
[3,1,3,3,6,2]=>[{2},{6},{1,3,4},{5}]=>[2,6,1,3,4,5]
[3,1,3,6,2,3]=>[{2},{5},{1,3,6},{4}]=>[2,5,1,3,6,4]
[3,1,3,6,3,2]=>[{2},{6},{1,3,5},{4}]=>[2,6,1,3,5,4]
[3,1,6,2,3,3]=>[{2},{4},{1,5,6},{3}]=>[2,4,1,5,6,3]
[3,1,6,3,2,3]=>[{2},{5},{1,4,6},{3}]=>[2,5,1,4,6,3]
[3,1,6,3,3,2]=>[{2},{6},{1,4,5},{3}]=>[2,6,1,4,5,3]
[3,2,1,3,3,6]=>[{3},{2},{1,4,5},{6}]=>[3,2,1,4,5,6]
[3,2,1,3,6,3]=>[{3},{2},{1,4,6},{5}]=>[3,2,1,4,6,5]
[3,2,1,6,3,3]=>[{3},{2},{1,5,6},{4}]=>[3,2,1,5,6,4]
[3,2,3,1,3,6]=>[{4},{2},{1,3,5},{6}]=>[4,2,1,3,5,6]
[3,2,3,1,6,3]=>[{4},{2},{1,3,6},{5}]=>[4,2,1,3,6,5]
[3,2,3,3,1,6]=>[{5},{2},{1,3,4},{6}]=>[5,2,1,3,4,6]
[3,2,3,3,6,1]=>[{6},{2},{1,3,4},{5}]=>[6,2,1,3,4,5]
[3,2,3,6,1,3]=>[{5},{2},{1,3,6},{4}]=>[5,2,1,3,6,4]
[3,2,3,6,3,1]=>[{6},{2},{1,3,5},{4}]=>[6,2,1,3,5,4]
[3,2,6,1,3,3]=>[{4},{2},{1,5,6},{3}]=>[4,2,1,5,6,3]
[3,2,6,3,1,3]=>[{5},{2},{1,4,6},{3}]=>[5,2,1,4,6,3]
[3,2,6,3,3,1]=>[{6},{2},{1,4,5},{3}]=>[6,2,1,4,5,3]
[3,3,1,2,3,6]=>[{3},{4},{1,2,5},{6}]=>[3,4,1,2,5,6]
[3,3,1,2,6,3]=>[{3},{4},{1,2,6},{5}]=>[3,4,1,2,6,5]
[3,3,1,3,2,6]=>[{3},{5},{1,2,4},{6}]=>[3,5,1,2,4,6]
[3,3,1,3,6,2]=>[{3},{6},{1,2,4},{5}]=>[3,6,1,2,4,5]
[3,3,1,6,2,3]=>[{3},{5},{1,2,6},{4}]=>[3,5,1,2,6,4]
[3,3,1,6,3,2]=>[{3},{6},{1,2,5},{4}]=>[3,6,1,2,5,4]
[3,3,2,1,3,6]=>[{4},{3},{1,2,5},{6}]=>[4,3,1,2,5,6]
[3,3,2,1,6,3]=>[{4},{3},{1,2,6},{5}]=>[4,3,1,2,6,5]
[3,3,2,3,1,6]=>[{5},{3},{1,2,4},{6}]=>[5,3,1,2,4,6]
[3,3,2,3,6,1]=>[{6},{3},{1,2,4},{5}]=>[6,3,1,2,4,5]
[3,3,2,6,1,3]=>[{5},{3},{1,2,6},{4}]=>[5,3,1,2,6,4]
[3,3,2,6,3,1]=>[{6},{3},{1,2,5},{4}]=>[6,3,1,2,5,4]
[3,3,3,1,2,6]=>[{4},{5},{1,2,3},{6}]=>[4,5,1,2,3,6]
[3,3,3,1,6,2]=>[{4},{6},{1,2,3},{5}]=>[4,6,1,2,3,5]
[3,3,3,2,1,6]=>[{5},{4},{1,2,3},{6}]=>[5,4,1,2,3,6]
[3,3,3,2,6,1]=>[{6},{4},{1,2,3},{5}]=>[6,4,1,2,3,5]
[3,3,3,6,1,2]=>[{5},{6},{1,2,3},{4}]=>[5,6,1,2,3,4]
[3,3,3,6,2,1]=>[{6},{5},{1,2,3},{4}]=>[6,5,1,2,3,4]
[3,3,6,1,2,3]=>[{4},{5},{1,2,6},{3}]=>[4,5,1,2,6,3]
[3,3,6,1,3,2]=>[{4},{6},{1,2,5},{3}]=>[4,6,1,2,5,3]
[3,3,6,2,1,3]=>[{5},{4},{1,2,6},{3}]=>[5,4,1,2,6,3]
[3,3,6,2,3,1]=>[{6},{4},{1,2,5},{3}]=>[6,4,1,2,5,3]
[3,3,6,3,1,2]=>[{5},{6},{1,2,4},{3}]=>[5,6,1,2,4,3]
[3,3,6,3,2,1]=>[{6},{5},{1,2,4},{3}]=>[6,5,1,2,4,3]
[3,6,1,2,3,3]=>[{3},{4},{1,5,6},{2}]=>[3,4,1,5,6,2]
[3,6,1,3,2,3]=>[{3},{5},{1,4,6},{2}]=>[3,5,1,4,6,2]
[3,6,1,3,3,2]=>[{3},{6},{1,4,5},{2}]=>[3,6,1,4,5,2]
[3,6,2,1,3,3]=>[{4},{3},{1,5,6},{2}]=>[4,3,1,5,6,2]
[3,6,2,3,1,3]=>[{5},{3},{1,4,6},{2}]=>[5,3,1,4,6,2]
[3,6,2,3,3,1]=>[{6},{3},{1,4,5},{2}]=>[6,3,1,4,5,2]
[3,6,3,1,2,3]=>[{4},{5},{1,3,6},{2}]=>[4,5,1,3,6,2]
[3,6,3,1,3,2]=>[{4},{6},{1,3,5},{2}]=>[4,6,1,3,5,2]
[3,6,3,2,1,3]=>[{5},{4},{1,3,6},{2}]=>[5,4,1,3,6,2]
[3,6,3,2,3,1]=>[{6},{4},{1,3,5},{2}]=>[6,4,1,3,5,2]
[3,6,3,3,1,2]=>[{5},{6},{1,3,4},{2}]=>[5,6,1,3,4,2]
[3,6,3,3,2,1]=>[{6},{5},{1,3,4},{2}]=>[6,5,1,3,4,2]
[6,1,2,3,3,3]=>[{2},{3},{4,5,6},{1}]=>[2,3,4,5,6,1]
[6,1,3,2,3,3]=>[{2},{4},{3,5,6},{1}]=>[2,4,3,5,6,1]
[6,1,3,3,2,3]=>[{2},{5},{3,4,6},{1}]=>[2,5,3,4,6,1]
[6,1,3,3,3,2]=>[{2},{6},{3,4,5},{1}]=>[2,6,3,4,5,1]
[6,2,1,3,3,3]=>[{3},{2},{4,5,6},{1}]=>[3,2,4,5,6,1]
[6,2,3,1,3,3]=>[{4},{2},{3,5,6},{1}]=>[4,2,3,5,6,1]
[6,2,3,3,1,3]=>[{5},{2},{3,4,6},{1}]=>[5,2,3,4,6,1]
[6,2,3,3,3,1]=>[{6},{2},{3,4,5},{1}]=>[6,2,3,4,5,1]
[6,3,1,2,3,3]=>[{3},{4},{2,5,6},{1}]=>[3,4,2,5,6,1]
[6,3,1,3,2,3]=>[{3},{5},{2,4,6},{1}]=>[3,5,2,4,6,1]
[6,3,1,3,3,2]=>[{3},{6},{2,4,5},{1}]=>[3,6,2,4,5,1]
[6,3,2,1,3,3]=>[{4},{3},{2,5,6},{1}]=>[4,3,2,5,6,1]
[6,3,2,3,1,3]=>[{5},{3},{2,4,6},{1}]=>[5,3,2,4,6,1]
[6,3,2,3,3,1]=>[{6},{3},{2,4,5},{1}]=>[6,3,2,4,5,1]
[6,3,3,1,2,3]=>[{4},{5},{2,3,6},{1}]=>[4,5,2,3,6,1]
[6,3,3,1,3,2]=>[{4},{6},{2,3,5},{1}]=>[4,6,2,3,5,1]
[6,3,3,2,1,3]=>[{5},{4},{2,3,6},{1}]=>[5,4,2,3,6,1]
[6,3,3,2,3,1]=>[{6},{4},{2,3,5},{1}]=>[6,4,2,3,5,1]
[6,3,3,3,1,2]=>[{5},{6},{2,3,4},{1}]=>[5,6,2,3,4,1]
[6,3,3,3,2,1]=>[{6},{5},{2,3,4},{1}]=>[6,5,2,3,4,1]
[1,2,3,3,4,4]=>[{1},{2},{3,4},{5,6}]=>[1,2,3,4,5,6]
[1,2,3,4,3,4]=>[{1},{2},{3,5},{4,6}]=>[1,2,3,5,4,6]
[1,2,3,4,4,3]=>[{1},{2},{3,6},{4,5}]=>[1,2,3,6,4,5]
[1,2,4,3,3,4]=>[{1},{2},{4,5},{3,6}]=>[1,2,4,5,3,6]
[1,2,4,3,4,3]=>[{1},{2},{4,6},{3,5}]=>[1,2,4,6,3,5]
[1,2,4,4,3,3]=>[{1},{2},{5,6},{3,4}]=>[1,2,5,6,3,4]
[1,3,2,3,4,4]=>[{1},{3},{2,4},{5,6}]=>[1,3,2,4,5,6]
[1,3,2,4,3,4]=>[{1},{3},{2,5},{4,6}]=>[1,3,2,5,4,6]
[1,3,2,4,4,3]=>[{1},{3},{2,6},{4,5}]=>[1,3,2,6,4,5]
[1,3,3,2,4,4]=>[{1},{4},{2,3},{5,6}]=>[1,4,2,3,5,6]
[1,3,3,4,2,4]=>[{1},{5},{2,3},{4,6}]=>[1,5,2,3,4,6]
[1,3,3,4,4,2]=>[{1},{6},{2,3},{4,5}]=>[1,6,2,3,4,5]
[1,3,4,2,3,4]=>[{1},{4},{2,5},{3,6}]=>[1,4,2,5,3,6]
[1,3,4,2,4,3]=>[{1},{4},{2,6},{3,5}]=>[1,4,2,6,3,5]
[1,3,4,3,2,4]=>[{1},{5},{2,4},{3,6}]=>[1,5,2,4,3,6]
[1,3,4,3,4,2]=>[{1},{6},{2,4},{3,5}]=>[1,6,2,4,3,5]
[1,3,4,4,2,3]=>[{1},{5},{2,6},{3,4}]=>[1,5,2,6,3,4]
[1,3,4,4,3,2]=>[{1},{6},{2,5},{3,4}]=>[1,6,2,5,3,4]
[1,4,2,3,3,4]=>[{1},{3},{4,5},{2,6}]=>[1,3,4,5,2,6]
[1,4,2,3,4,3]=>[{1},{3},{4,6},{2,5}]=>[1,3,4,6,2,5]
[1,4,2,4,3,3]=>[{1},{3},{5,6},{2,4}]=>[1,3,5,6,2,4]
[1,4,3,2,3,4]=>[{1},{4},{3,5},{2,6}]=>[1,4,3,5,2,6]
[1,4,3,2,4,3]=>[{1},{4},{3,6},{2,5}]=>[1,4,3,6,2,5]
[1,4,3,3,2,4]=>[{1},{5},{3,4},{2,6}]=>[1,5,3,4,2,6]
[1,4,3,3,4,2]=>[{1},{6},{3,4},{2,5}]=>[1,6,3,4,2,5]
[1,4,3,4,2,3]=>[{1},{5},{3,6},{2,4}]=>[1,5,3,6,2,4]
[1,4,3,4,3,2]=>[{1},{6},{3,5},{2,4}]=>[1,6,3,5,2,4]
[1,4,4,2,3,3]=>[{1},{4},{5,6},{2,3}]=>[1,4,5,6,2,3]
[1,4,4,3,2,3]=>[{1},{5},{4,6},{2,3}]=>[1,5,4,6,2,3]
[1,4,4,3,3,2]=>[{1},{6},{4,5},{2,3}]=>[1,6,4,5,2,3]
[2,1,3,3,4,4]=>[{2},{1},{3,4},{5,6}]=>[2,1,3,4,5,6]
[2,1,3,4,3,4]=>[{2},{1},{3,5},{4,6}]=>[2,1,3,5,4,6]
[2,1,3,4,4,3]=>[{2},{1},{3,6},{4,5}]=>[2,1,3,6,4,5]
[2,1,4,3,3,4]=>[{2},{1},{4,5},{3,6}]=>[2,1,4,5,3,6]
[2,1,4,3,4,3]=>[{2},{1},{4,6},{3,5}]=>[2,1,4,6,3,5]
[2,1,4,4,3,3]=>[{2},{1},{5,6},{3,4}]=>[2,1,5,6,3,4]
[2,3,1,3,4,4]=>[{3},{1},{2,4},{5,6}]=>[3,1,2,4,5,6]
[2,3,1,4,3,4]=>[{3},{1},{2,5},{4,6}]=>[3,1,2,5,4,6]
[2,3,1,4,4,3]=>[{3},{1},{2,6},{4,5}]=>[3,1,2,6,4,5]
[2,3,3,1,4,4]=>[{4},{1},{2,3},{5,6}]=>[4,1,2,3,5,6]
[2,3,3,4,1,4]=>[{5},{1},{2,3},{4,6}]=>[5,1,2,3,4,6]
[2,3,3,4,4,1]=>[{6},{1},{2,3},{4,5}]=>[6,1,2,3,4,5]
[2,3,4,1,3,4]=>[{4},{1},{2,5},{3,6}]=>[4,1,2,5,3,6]
[2,3,4,1,4,3]=>[{4},{1},{2,6},{3,5}]=>[4,1,2,6,3,5]
[2,3,4,3,1,4]=>[{5},{1},{2,4},{3,6}]=>[5,1,2,4,3,6]
[2,3,4,3,4,1]=>[{6},{1},{2,4},{3,5}]=>[6,1,2,4,3,5]
[2,3,4,4,1,3]=>[{5},{1},{2,6},{3,4}]=>[5,1,2,6,3,4]
[2,3,4,4,3,1]=>[{6},{1},{2,5},{3,4}]=>[6,1,2,5,3,4]
[2,4,1,3,3,4]=>[{3},{1},{4,5},{2,6}]=>[3,1,4,5,2,6]
[2,4,1,3,4,3]=>[{3},{1},{4,6},{2,5}]=>[3,1,4,6,2,5]
[2,4,1,4,3,3]=>[{3},{1},{5,6},{2,4}]=>[3,1,5,6,2,4]
[2,4,3,1,3,4]=>[{4},{1},{3,5},{2,6}]=>[4,1,3,5,2,6]
[2,4,3,1,4,3]=>[{4},{1},{3,6},{2,5}]=>[4,1,3,6,2,5]
[2,4,3,3,1,4]=>[{5},{1},{3,4},{2,6}]=>[5,1,3,4,2,6]
[2,4,3,3,4,1]=>[{6},{1},{3,4},{2,5}]=>[6,1,3,4,2,5]
[2,4,3,4,1,3]=>[{5},{1},{3,6},{2,4}]=>[5,1,3,6,2,4]
[2,4,3,4,3,1]=>[{6},{1},{3,5},{2,4}]=>[6,1,3,5,2,4]
[2,4,4,1,3,3]=>[{4},{1},{5,6},{2,3}]=>[4,1,5,6,2,3]
[2,4,4,3,1,3]=>[{5},{1},{4,6},{2,3}]=>[5,1,4,6,2,3]
[2,4,4,3,3,1]=>[{6},{1},{4,5},{2,3}]=>[6,1,4,5,2,3]
[3,1,2,3,4,4]=>[{2},{3},{1,4},{5,6}]=>[2,3,1,4,5,6]
[3,1,2,4,3,4]=>[{2},{3},{1,5},{4,6}]=>[2,3,1,5,4,6]
[3,1,2,4,4,3]=>[{2},{3},{1,6},{4,5}]=>[2,3,1,6,4,5]
[3,1,3,2,4,4]=>[{2},{4},{1,3},{5,6}]=>[2,4,1,3,5,6]
[3,1,3,4,2,4]=>[{2},{5},{1,3},{4,6}]=>[2,5,1,3,4,6]
[3,1,3,4,4,2]=>[{2},{6},{1,3},{4,5}]=>[2,6,1,3,4,5]
[3,1,4,2,3,4]=>[{2},{4},{1,5},{3,6}]=>[2,4,1,5,3,6]
[3,1,4,2,4,3]=>[{2},{4},{1,6},{3,5}]=>[2,4,1,6,3,5]
[3,1,4,3,2,4]=>[{2},{5},{1,4},{3,6}]=>[2,5,1,4,3,6]
[3,1,4,3,4,2]=>[{2},{6},{1,4},{3,5}]=>[2,6,1,4,3,5]
[3,1,4,4,2,3]=>[{2},{5},{1,6},{3,4}]=>[2,5,1,6,3,4]
[3,1,4,4,3,2]=>[{2},{6},{1,5},{3,4}]=>[2,6,1,5,3,4]
[3,2,1,3,4,4]=>[{3},{2},{1,4},{5,6}]=>[3,2,1,4,5,6]
[3,2,1,4,3,4]=>[{3},{2},{1,5},{4,6}]=>[3,2,1,5,4,6]
[3,2,1,4,4,3]=>[{3},{2},{1,6},{4,5}]=>[3,2,1,6,4,5]
[3,2,3,1,4,4]=>[{4},{2},{1,3},{5,6}]=>[4,2,1,3,5,6]
[3,2,3,4,1,4]=>[{5},{2},{1,3},{4,6}]=>[5,2,1,3,4,6]
[3,2,3,4,4,1]=>[{6},{2},{1,3},{4,5}]=>[6,2,1,3,4,5]
[3,2,4,1,3,4]=>[{4},{2},{1,5},{3,6}]=>[4,2,1,5,3,6]
[3,2,4,1,4,3]=>[{4},{2},{1,6},{3,5}]=>[4,2,1,6,3,5]
[3,2,4,3,1,4]=>[{5},{2},{1,4},{3,6}]=>[5,2,1,4,3,6]
[3,2,4,3,4,1]=>[{6},{2},{1,4},{3,5}]=>[6,2,1,4,3,5]
[3,2,4,4,1,3]=>[{5},{2},{1,6},{3,4}]=>[5,2,1,6,3,4]
[3,2,4,4,3,1]=>[{6},{2},{1,5},{3,4}]=>[6,2,1,5,3,4]
[3,3,1,2,4,4]=>[{3},{4},{1,2},{5,6}]=>[3,4,1,2,5,6]
[3,3,1,4,2,4]=>[{3},{5},{1,2},{4,6}]=>[3,5,1,2,4,6]
[3,3,1,4,4,2]=>[{3},{6},{1,2},{4,5}]=>[3,6,1,2,4,5]
[3,3,2,1,4,4]=>[{4},{3},{1,2},{5,6}]=>[4,3,1,2,5,6]
[3,3,2,4,1,4]=>[{5},{3},{1,2},{4,6}]=>[5,3,1,2,4,6]
[3,3,2,4,4,1]=>[{6},{3},{1,2},{4,5}]=>[6,3,1,2,4,5]
[3,3,4,1,2,4]=>[{4},{5},{1,2},{3,6}]=>[4,5,1,2,3,6]
[3,3,4,1,4,2]=>[{4},{6},{1,2},{3,5}]=>[4,6,1,2,3,5]
[3,3,4,2,1,4]=>[{5},{4},{1,2},{3,6}]=>[5,4,1,2,3,6]
[3,3,4,2,4,1]=>[{6},{4},{1,2},{3,5}]=>[6,4,1,2,3,5]
[3,3,4,4,1,2]=>[{5},{6},{1,2},{3,4}]=>[5,6,1,2,3,4]
[3,3,4,4,2,1]=>[{6},{5},{1,2},{3,4}]=>[6,5,1,2,3,4]
[3,4,1,2,3,4]=>[{3},{4},{1,5},{2,6}]=>[3,4,1,5,2,6]
[3,4,1,2,4,3]=>[{3},{4},{1,6},{2,5}]=>[3,4,1,6,2,5]
[3,4,1,3,2,4]=>[{3},{5},{1,4},{2,6}]=>[3,5,1,4,2,6]
[3,4,1,3,4,2]=>[{3},{6},{1,4},{2,5}]=>[3,6,1,4,2,5]
[3,4,1,4,2,3]=>[{3},{5},{1,6},{2,4}]=>[3,5,1,6,2,4]
[3,4,1,4,3,2]=>[{3},{6},{1,5},{2,4}]=>[3,6,1,5,2,4]
[3,4,2,1,3,4]=>[{4},{3},{1,5},{2,6}]=>[4,3,1,5,2,6]
[3,4,2,1,4,3]=>[{4},{3},{1,6},{2,5}]=>[4,3,1,6,2,5]
[3,4,2,3,1,4]=>[{5},{3},{1,4},{2,6}]=>[5,3,1,4,2,6]
[3,4,2,3,4,1]=>[{6},{3},{1,4},{2,5}]=>[6,3,1,4,2,5]
[3,4,2,4,1,3]=>[{5},{3},{1,6},{2,4}]=>[5,3,1,6,2,4]
[3,4,2,4,3,1]=>[{6},{3},{1,5},{2,4}]=>[6,3,1,5,2,4]
[3,4,3,1,2,4]=>[{4},{5},{1,3},{2,6}]=>[4,5,1,3,2,6]
[3,4,3,1,4,2]=>[{4},{6},{1,3},{2,5}]=>[4,6,1,3,2,5]
[3,4,3,2,1,4]=>[{5},{4},{1,3},{2,6}]=>[5,4,1,3,2,6]
[3,4,3,2,4,1]=>[{6},{4},{1,3},{2,5}]=>[6,4,1,3,2,5]
[3,4,3,4,1,2]=>[{5},{6},{1,3},{2,4}]=>[5,6,1,3,2,4]
[3,4,3,4,2,1]=>[{6},{5},{1,3},{2,4}]=>[6,5,1,3,2,4]
[3,4,4,1,2,3]=>[{4},{5},{1,6},{2,3}]=>[4,5,1,6,2,3]
[3,4,4,1,3,2]=>[{4},{6},{1,5},{2,3}]=>[4,6,1,5,2,3]
[3,4,4,2,1,3]=>[{5},{4},{1,6},{2,3}]=>[5,4,1,6,2,3]
[3,4,4,2,3,1]=>[{6},{4},{1,5},{2,3}]=>[6,4,1,5,2,3]
[3,4,4,3,1,2]=>[{5},{6},{1,4},{2,3}]=>[5,6,1,4,2,3]
[3,4,4,3,2,1]=>[{6},{5},{1,4},{2,3}]=>[6,5,1,4,2,3]
[4,1,2,3,3,4]=>[{2},{3},{4,5},{1,6}]=>[2,3,4,5,1,6]
[4,1,2,3,4,3]=>[{2},{3},{4,6},{1,5}]=>[2,3,4,6,1,5]
[4,1,2,4,3,3]=>[{2},{3},{5,6},{1,4}]=>[2,3,5,6,1,4]
[4,1,3,2,3,4]=>[{2},{4},{3,5},{1,6}]=>[2,4,3,5,1,6]
[4,1,3,2,4,3]=>[{2},{4},{3,6},{1,5}]=>[2,4,3,6,1,5]
[4,1,3,3,2,4]=>[{2},{5},{3,4},{1,6}]=>[2,5,3,4,1,6]
[4,1,3,3,4,2]=>[{2},{6},{3,4},{1,5}]=>[2,6,3,4,1,5]
[4,1,3,4,2,3]=>[{2},{5},{3,6},{1,4}]=>[2,5,3,6,1,4]
[4,1,3,4,3,2]=>[{2},{6},{3,5},{1,4}]=>[2,6,3,5,1,4]
[4,1,4,2,3,3]=>[{2},{4},{5,6},{1,3}]=>[2,4,5,6,1,3]
[4,1,4,3,2,3]=>[{2},{5},{4,6},{1,3}]=>[2,5,4,6,1,3]
[4,1,4,3,3,2]=>[{2},{6},{4,5},{1,3}]=>[2,6,4,5,1,3]
[4,2,1,3,3,4]=>[{3},{2},{4,5},{1,6}]=>[3,2,4,5,1,6]
[4,2,1,3,4,3]=>[{3},{2},{4,6},{1,5}]=>[3,2,4,6,1,5]
[4,2,1,4,3,3]=>[{3},{2},{5,6},{1,4}]=>[3,2,5,6,1,4]
[4,2,3,1,3,4]=>[{4},{2},{3,5},{1,6}]=>[4,2,3,5,1,6]
[4,2,3,1,4,3]=>[{4},{2},{3,6},{1,5}]=>[4,2,3,6,1,5]
[4,2,3,3,1,4]=>[{5},{2},{3,4},{1,6}]=>[5,2,3,4,1,6]
[4,2,3,3,4,1]=>[{6},{2},{3,4},{1,5}]=>[6,2,3,4,1,5]
[4,2,3,4,1,3]=>[{5},{2},{3,6},{1,4}]=>[5,2,3,6,1,4]
[4,2,3,4,3,1]=>[{6},{2},{3,5},{1,4}]=>[6,2,3,5,1,4]
[4,2,4,1,3,3]=>[{4},{2},{5,6},{1,3}]=>[4,2,5,6,1,3]
[4,2,4,3,1,3]=>[{5},{2},{4,6},{1,3}]=>[5,2,4,6,1,3]
[4,2,4,3,3,1]=>[{6},{2},{4,5},{1,3}]=>[6,2,4,5,1,3]
[4,3,1,2,3,4]=>[{3},{4},{2,5},{1,6}]=>[3,4,2,5,1,6]
[4,3,1,2,4,3]=>[{3},{4},{2,6},{1,5}]=>[3,4,2,6,1,5]
[4,3,1,3,2,4]=>[{3},{5},{2,4},{1,6}]=>[3,5,2,4,1,6]
[4,3,1,3,4,2]=>[{3},{6},{2,4},{1,5}]=>[3,6,2,4,1,5]
[4,3,1,4,2,3]=>[{3},{5},{2,6},{1,4}]=>[3,5,2,6,1,4]
[4,3,1,4,3,2]=>[{3},{6},{2,5},{1,4}]=>[3,6,2,5,1,4]
[4,3,2,1,3,4]=>[{4},{3},{2,5},{1,6}]=>[4,3,2,5,1,6]
[4,3,2,1,4,3]=>[{4},{3},{2,6},{1,5}]=>[4,3,2,6,1,5]
[4,3,2,3,1,4]=>[{5},{3},{2,4},{1,6}]=>[5,3,2,4,1,6]
[4,3,2,3,4,1]=>[{6},{3},{2,4},{1,5}]=>[6,3,2,4,1,5]
[4,3,2,4,1,3]=>[{5},{3},{2,6},{1,4}]=>[5,3,2,6,1,4]
[4,3,2,4,3,1]=>[{6},{3},{2,5},{1,4}]=>[6,3,2,5,1,4]
[4,3,3,1,2,4]=>[{4},{5},{2,3},{1,6}]=>[4,5,2,3,1,6]
[4,3,3,1,4,2]=>[{4},{6},{2,3},{1,5}]=>[4,6,2,3,1,5]
[4,3,3,2,1,4]=>[{5},{4},{2,3},{1,6}]=>[5,4,2,3,1,6]
[4,3,3,2,4,1]=>[{6},{4},{2,3},{1,5}]=>[6,4,2,3,1,5]
[4,3,3,4,1,2]=>[{5},{6},{2,3},{1,4}]=>[5,6,2,3,1,4]
[4,3,3,4,2,1]=>[{6},{5},{2,3},{1,4}]=>[6,5,2,3,1,4]
[4,3,4,1,2,3]=>[{4},{5},{2,6},{1,3}]=>[4,5,2,6,1,3]
[4,3,4,1,3,2]=>[{4},{6},{2,5},{1,3}]=>[4,6,2,5,1,3]
[4,3,4,2,1,3]=>[{5},{4},{2,6},{1,3}]=>[5,4,2,6,1,3]
[4,3,4,2,3,1]=>[{6},{4},{2,5},{1,3}]=>[6,4,2,5,1,3]
[4,3,4,3,1,2]=>[{5},{6},{2,4},{1,3}]=>[5,6,2,4,1,3]
[4,3,4,3,2,1]=>[{6},{5},{2,4},{1,3}]=>[6,5,2,4,1,3]
[4,4,1,2,3,3]=>[{3},{4},{5,6},{1,2}]=>[3,4,5,6,1,2]
[4,4,1,3,2,3]=>[{3},{5},{4,6},{1,2}]=>[3,5,4,6,1,2]
[4,4,1,3,3,2]=>[{3},{6},{4,5},{1,2}]=>[3,6,4,5,1,2]
[4,4,2,1,3,3]=>[{4},{3},{5,6},{1,2}]=>[4,3,5,6,1,2]
[4,4,2,3,1,3]=>[{5},{3},{4,6},{1,2}]=>[5,3,4,6,1,2]
[4,4,2,3,3,1]=>[{6},{3},{4,5},{1,2}]=>[6,3,4,5,1,2]
[4,4,3,1,2,3]=>[{4},{5},{3,6},{1,2}]=>[4,5,3,6,1,2]
[4,4,3,1,3,2]=>[{4},{6},{3,5},{1,2}]=>[4,6,3,5,1,2]
[4,4,3,2,1,3]=>[{5},{4},{3,6},{1,2}]=>[5,4,3,6,1,2]
[4,4,3,2,3,1]=>[{6},{4},{3,5},{1,2}]=>[6,4,3,5,1,2]
[4,4,3,3,1,2]=>[{5},{6},{3,4},{1,2}]=>[5,6,3,4,1,2]
[4,4,3,3,2,1]=>[{6},{5},{3,4},{1,2}]=>[6,5,3,4,1,2]
[1,2,3,3,4,5]=>[{1},{2},{3,4},{5},{6}]=>[1,2,3,4,5,6]
[1,2,3,3,5,4]=>[{1},{2},{3,4},{6},{5}]=>[1,2,3,4,6,5]
[1,2,3,4,3,5]=>[{1},{2},{3,5},{4},{6}]=>[1,2,3,5,4,6]
[1,2,3,4,5,3]=>[{1},{2},{3,6},{4},{5}]=>[1,2,3,6,4,5]
[1,2,3,5,3,4]=>[{1},{2},{3,5},{6},{4}]=>[1,2,3,5,6,4]
[1,2,3,5,4,3]=>[{1},{2},{3,6},{5},{4}]=>[1,2,3,6,5,4]
[1,2,4,3,3,5]=>[{1},{2},{4,5},{3},{6}]=>[1,2,4,5,3,6]
[1,2,4,3,5,3]=>[{1},{2},{4,6},{3},{5}]=>[1,2,4,6,3,5]
[1,2,4,5,3,3]=>[{1},{2},{5,6},{3},{4}]=>[1,2,5,6,3,4]
[1,2,5,3,3,4]=>[{1},{2},{4,5},{6},{3}]=>[1,2,4,5,6,3]
[1,2,5,3,4,3]=>[{1},{2},{4,6},{5},{3}]=>[1,2,4,6,5,3]
[1,2,5,4,3,3]=>[{1},{2},{5,6},{4},{3}]=>[1,2,5,6,4,3]
[1,3,2,3,4,5]=>[{1},{3},{2,4},{5},{6}]=>[1,3,2,4,5,6]
[1,3,2,3,5,4]=>[{1},{3},{2,4},{6},{5}]=>[1,3,2,4,6,5]
[1,3,2,4,3,5]=>[{1},{3},{2,5},{4},{6}]=>[1,3,2,5,4,6]
[1,3,2,4,5,3]=>[{1},{3},{2,6},{4},{5}]=>[1,3,2,6,4,5]
[1,3,2,5,3,4]=>[{1},{3},{2,5},{6},{4}]=>[1,3,2,5,6,4]
[1,3,2,5,4,3]=>[{1},{3},{2,6},{5},{4}]=>[1,3,2,6,5,4]
[1,3,3,2,4,5]=>[{1},{4},{2,3},{5},{6}]=>[1,4,2,3,5,6]
[1,3,3,2,5,4]=>[{1},{4},{2,3},{6},{5}]=>[1,4,2,3,6,5]
[1,3,3,4,2,5]=>[{1},{5},{2,3},{4},{6}]=>[1,5,2,3,4,6]
[1,3,3,4,5,2]=>[{1},{6},{2,3},{4},{5}]=>[1,6,2,3,4,5]
[1,3,3,5,2,4]=>[{1},{5},{2,3},{6},{4}]=>[1,5,2,3,6,4]
[1,3,3,5,4,2]=>[{1},{6},{2,3},{5},{4}]=>[1,6,2,3,5,4]
[1,3,4,2,3,5]=>[{1},{4},{2,5},{3},{6}]=>[1,4,2,5,3,6]
[1,3,4,2,5,3]=>[{1},{4},{2,6},{3},{5}]=>[1,4,2,6,3,5]
[1,3,4,3,2,5]=>[{1},{5},{2,4},{3},{6}]=>[1,5,2,4,3,6]
[1,3,4,3,5,2]=>[{1},{6},{2,4},{3},{5}]=>[1,6,2,4,3,5]
[1,3,4,5,2,3]=>[{1},{5},{2,6},{3},{4}]=>[1,5,2,6,3,4]
[1,3,4,5,3,2]=>[{1},{6},{2,5},{3},{4}]=>[1,6,2,5,3,4]
[1,3,5,2,3,4]=>[{1},{4},{2,5},{6},{3}]=>[1,4,2,5,6,3]
[1,3,5,2,4,3]=>[{1},{4},{2,6},{5},{3}]=>[1,4,2,6,5,3]
[1,3,5,3,2,4]=>[{1},{5},{2,4},{6},{3}]=>[1,5,2,4,6,3]
[1,3,5,3,4,2]=>[{1},{6},{2,4},{5},{3}]=>[1,6,2,4,5,3]
[1,3,5,4,2,3]=>[{1},{5},{2,6},{4},{3}]=>[1,5,2,6,4,3]
[1,3,5,4,3,2]=>[{1},{6},{2,5},{4},{3}]=>[1,6,2,5,4,3]
[1,4,2,3,3,5]=>[{1},{3},{4,5},{2},{6}]=>[1,3,4,5,2,6]
[1,4,2,3,5,3]=>[{1},{3},{4,6},{2},{5}]=>[1,3,4,6,2,5]
[1,4,2,5,3,3]=>[{1},{3},{5,6},{2},{4}]=>[1,3,5,6,2,4]
[1,4,3,2,3,5]=>[{1},{4},{3,5},{2},{6}]=>[1,4,3,5,2,6]
[1,4,3,2,5,3]=>[{1},{4},{3,6},{2},{5}]=>[1,4,3,6,2,5]
[1,4,3,3,2,5]=>[{1},{5},{3,4},{2},{6}]=>[1,5,3,4,2,6]
[1,4,3,3,5,2]=>[{1},{6},{3,4},{2},{5}]=>[1,6,3,4,2,5]
[1,4,3,5,2,3]=>[{1},{5},{3,6},{2},{4}]=>[1,5,3,6,2,4]
[1,4,3,5,3,2]=>[{1},{6},{3,5},{2},{4}]=>[1,6,3,5,2,4]
[1,4,5,2,3,3]=>[{1},{4},{5,6},{2},{3}]=>[1,4,5,6,2,3]
[1,4,5,3,2,3]=>[{1},{5},{4,6},{2},{3}]=>[1,5,4,6,2,3]
[1,4,5,3,3,2]=>[{1},{6},{4,5},{2},{3}]=>[1,6,4,5,2,3]
[1,5,2,3,3,4]=>[{1},{3},{4,5},{6},{2}]=>[1,3,4,5,6,2]
[1,5,2,3,4,3]=>[{1},{3},{4,6},{5},{2}]=>[1,3,4,6,5,2]
[1,5,2,4,3,3]=>[{1},{3},{5,6},{4},{2}]=>[1,3,5,6,4,2]
[1,5,3,2,3,4]=>[{1},{4},{3,5},{6},{2}]=>[1,4,3,5,6,2]
[1,5,3,2,4,3]=>[{1},{4},{3,6},{5},{2}]=>[1,4,3,6,5,2]
[1,5,3,3,2,4]=>[{1},{5},{3,4},{6},{2}]=>[1,5,3,4,6,2]
[1,5,3,3,4,2]=>[{1},{6},{3,4},{5},{2}]=>[1,6,3,4,5,2]
[1,5,3,4,2,3]=>[{1},{5},{3,6},{4},{2}]=>[1,5,3,6,4,2]
[1,5,3,4,3,2]=>[{1},{6},{3,5},{4},{2}]=>[1,6,3,5,4,2]
[1,5,4,2,3,3]=>[{1},{4},{5,6},{3},{2}]=>[1,4,5,6,3,2]
[1,5,4,3,2,3]=>[{1},{5},{4,6},{3},{2}]=>[1,5,4,6,3,2]
[1,5,4,3,3,2]=>[{1},{6},{4,5},{3},{2}]=>[1,6,4,5,3,2]
[2,1,3,3,4,5]=>[{2},{1},{3,4},{5},{6}]=>[2,1,3,4,5,6]
[2,1,3,3,5,4]=>[{2},{1},{3,4},{6},{5}]=>[2,1,3,4,6,5]
[2,1,3,4,3,5]=>[{2},{1},{3,5},{4},{6}]=>[2,1,3,5,4,6]
[2,1,3,4,5,3]=>[{2},{1},{3,6},{4},{5}]=>[2,1,3,6,4,5]
[2,1,3,5,3,4]=>[{2},{1},{3,5},{6},{4}]=>[2,1,3,5,6,4]
[2,1,3,5,4,3]=>[{2},{1},{3,6},{5},{4}]=>[2,1,3,6,5,4]
[2,1,4,3,3,5]=>[{2},{1},{4,5},{3},{6}]=>[2,1,4,5,3,6]
[2,1,4,3,5,3]=>[{2},{1},{4,6},{3},{5}]=>[2,1,4,6,3,5]
[2,1,4,5,3,3]=>[{2},{1},{5,6},{3},{4}]=>[2,1,5,6,3,4]
[2,1,5,3,3,4]=>[{2},{1},{4,5},{6},{3}]=>[2,1,4,5,6,3]
[2,1,5,3,4,3]=>[{2},{1},{4,6},{5},{3}]=>[2,1,4,6,5,3]
[2,1,5,4,3,3]=>[{2},{1},{5,6},{4},{3}]=>[2,1,5,6,4,3]
[2,3,1,3,4,5]=>[{3},{1},{2,4},{5},{6}]=>[3,1,2,4,5,6]
[2,3,1,3,5,4]=>[{3},{1},{2,4},{6},{5}]=>[3,1,2,4,6,5]
[2,3,1,4,3,5]=>[{3},{1},{2,5},{4},{6}]=>[3,1,2,5,4,6]
[2,3,1,4,5,3]=>[{3},{1},{2,6},{4},{5}]=>[3,1,2,6,4,5]
[2,3,1,5,3,4]=>[{3},{1},{2,5},{6},{4}]=>[3,1,2,5,6,4]
[2,3,1,5,4,3]=>[{3},{1},{2,6},{5},{4}]=>[3,1,2,6,5,4]
[2,3,3,1,4,5]=>[{4},{1},{2,3},{5},{6}]=>[4,1,2,3,5,6]
[2,3,3,1,5,4]=>[{4},{1},{2,3},{6},{5}]=>[4,1,2,3,6,5]
[2,3,3,4,1,5]=>[{5},{1},{2,3},{4},{6}]=>[5,1,2,3,4,6]
[2,3,3,4,5,1]=>[{6},{1},{2,3},{4},{5}]=>[6,1,2,3,4,5]
[2,3,3,5,1,4]=>[{5},{1},{2,3},{6},{4}]=>[5,1,2,3,6,4]
[2,3,3,5,4,1]=>[{6},{1},{2,3},{5},{4}]=>[6,1,2,3,5,4]
[2,3,4,1,3,5]=>[{4},{1},{2,5},{3},{6}]=>[4,1,2,5,3,6]
[2,3,4,1,5,3]=>[{4},{1},{2,6},{3},{5}]=>[4,1,2,6,3,5]
[2,3,4,3,1,5]=>[{5},{1},{2,4},{3},{6}]=>[5,1,2,4,3,6]
[2,3,4,3,5,1]=>[{6},{1},{2,4},{3},{5}]=>[6,1,2,4,3,5]
[2,3,4,5,1,3]=>[{5},{1},{2,6},{3},{4}]=>[5,1,2,6,3,4]
[2,3,4,5,3,1]=>[{6},{1},{2,5},{3},{4}]=>[6,1,2,5,3,4]
[2,3,5,1,3,4]=>[{4},{1},{2,5},{6},{3}]=>[4,1,2,5,6,3]
[2,3,5,1,4,3]=>[{4},{1},{2,6},{5},{3}]=>[4,1,2,6,5,3]
[2,3,5,3,1,4]=>[{5},{1},{2,4},{6},{3}]=>[5,1,2,4,6,3]
[2,3,5,3,4,1]=>[{6},{1},{2,4},{5},{3}]=>[6,1,2,4,5,3]
[2,3,5,4,1,3]=>[{5},{1},{2,6},{4},{3}]=>[5,1,2,6,4,3]
[2,3,5,4,3,1]=>[{6},{1},{2,5},{4},{3}]=>[6,1,2,5,4,3]
[2,4,1,3,3,5]=>[{3},{1},{4,5},{2},{6}]=>[3,1,4,5,2,6]
[2,4,1,3,5,3]=>[{3},{1},{4,6},{2},{5}]=>[3,1,4,6,2,5]
[2,4,1,5,3,3]=>[{3},{1},{5,6},{2},{4}]=>[3,1,5,6,2,4]
[2,4,3,1,3,5]=>[{4},{1},{3,5},{2},{6}]=>[4,1,3,5,2,6]
[2,4,3,1,5,3]=>[{4},{1},{3,6},{2},{5}]=>[4,1,3,6,2,5]
[2,4,3,3,1,5]=>[{5},{1},{3,4},{2},{6}]=>[5,1,3,4,2,6]
[2,4,3,3,5,1]=>[{6},{1},{3,4},{2},{5}]=>[6,1,3,4,2,5]
[2,4,3,5,1,3]=>[{5},{1},{3,6},{2},{4}]=>[5,1,3,6,2,4]
[2,4,3,5,3,1]=>[{6},{1},{3,5},{2},{4}]=>[6,1,3,5,2,4]
[2,4,5,1,3,3]=>[{4},{1},{5,6},{2},{3}]=>[4,1,5,6,2,3]
[2,4,5,3,1,3]=>[{5},{1},{4,6},{2},{3}]=>[5,1,4,6,2,3]
[2,4,5,3,3,1]=>[{6},{1},{4,5},{2},{3}]=>[6,1,4,5,2,3]
[2,5,1,3,3,4]=>[{3},{1},{4,5},{6},{2}]=>[3,1,4,5,6,2]
[2,5,1,3,4,3]=>[{3},{1},{4,6},{5},{2}]=>[3,1,4,6,5,2]
[2,5,1,4,3,3]=>[{3},{1},{5,6},{4},{2}]=>[3,1,5,6,4,2]
[2,5,3,1,3,4]=>[{4},{1},{3,5},{6},{2}]=>[4,1,3,5,6,2]
[2,5,3,1,4,3]=>[{4},{1},{3,6},{5},{2}]=>[4,1,3,6,5,2]
[2,5,3,3,1,4]=>[{5},{1},{3,4},{6},{2}]=>[5,1,3,4,6,2]
[2,5,3,3,4,1]=>[{6},{1},{3,4},{5},{2}]=>[6,1,3,4,5,2]
[2,5,3,4,1,3]=>[{5},{1},{3,6},{4},{2}]=>[5,1,3,6,4,2]
[2,5,3,4,3,1]=>[{6},{1},{3,5},{4},{2}]=>[6,1,3,5,4,2]
[2,5,4,1,3,3]=>[{4},{1},{5,6},{3},{2}]=>[4,1,5,6,3,2]
[2,5,4,3,1,3]=>[{5},{1},{4,6},{3},{2}]=>[5,1,4,6,3,2]
[2,5,4,3,3,1]=>[{6},{1},{4,5},{3},{2}]=>[6,1,4,5,3,2]
[3,1,2,3,4,5]=>[{2},{3},{1,4},{5},{6}]=>[2,3,1,4,5,6]
[3,1,2,3,5,4]=>[{2},{3},{1,4},{6},{5}]=>[2,3,1,4,6,5]
[3,1,2,4,3,5]=>[{2},{3},{1,5},{4},{6}]=>[2,3,1,5,4,6]
[3,1,2,4,5,3]=>[{2},{3},{1,6},{4},{5}]=>[2,3,1,6,4,5]
[3,1,2,5,3,4]=>[{2},{3},{1,5},{6},{4}]=>[2,3,1,5,6,4]
[3,1,2,5,4,3]=>[{2},{3},{1,6},{5},{4}]=>[2,3,1,6,5,4]
[3,1,3,2,4,5]=>[{2},{4},{1,3},{5},{6}]=>[2,4,1,3,5,6]
[3,1,3,2,5,4]=>[{2},{4},{1,3},{6},{5}]=>[2,4,1,3,6,5]
[3,1,3,4,2,5]=>[{2},{5},{1,3},{4},{6}]=>[2,5,1,3,4,6]
[3,1,3,4,5,2]=>[{2},{6},{1,3},{4},{5}]=>[2,6,1,3,4,5]
[3,1,3,5,2,4]=>[{2},{5},{1,3},{6},{4}]=>[2,5,1,3,6,4]
[3,1,3,5,4,2]=>[{2},{6},{1,3},{5},{4}]=>[2,6,1,3,5,4]
[3,1,4,2,3,5]=>[{2},{4},{1,5},{3},{6}]=>[2,4,1,5,3,6]
[3,1,4,2,5,3]=>[{2},{4},{1,6},{3},{5}]=>[2,4,1,6,3,5]
[3,1,4,3,2,5]=>[{2},{5},{1,4},{3},{6}]=>[2,5,1,4,3,6]
[3,1,4,3,5,2]=>[{2},{6},{1,4},{3},{5}]=>[2,6,1,4,3,5]
[3,1,4,5,2,3]=>[{2},{5},{1,6},{3},{4}]=>[2,5,1,6,3,4]
[3,1,4,5,3,2]=>[{2},{6},{1,5},{3},{4}]=>[2,6,1,5,3,4]
[3,1,5,2,3,4]=>[{2},{4},{1,5},{6},{3}]=>[2,4,1,5,6,3]
[3,1,5,2,4,3]=>[{2},{4},{1,6},{5},{3}]=>[2,4,1,6,5,3]
[3,1,5,3,2,4]=>[{2},{5},{1,4},{6},{3}]=>[2,5,1,4,6,3]
[3,1,5,3,4,2]=>[{2},{6},{1,4},{5},{3}]=>[2,6,1,4,5,3]
[3,1,5,4,2,3]=>[{2},{5},{1,6},{4},{3}]=>[2,5,1,6,4,3]
[3,1,5,4,3,2]=>[{2},{6},{1,5},{4},{3}]=>[2,6,1,5,4,3]
[3,2,1,3,4,5]=>[{3},{2},{1,4},{5},{6}]=>[3,2,1,4,5,6]
[3,2,1,3,5,4]=>[{3},{2},{1,4},{6},{5}]=>[3,2,1,4,6,5]
[3,2,1,4,3,5]=>[{3},{2},{1,5},{4},{6}]=>[3,2,1,5,4,6]
[3,2,1,4,5,3]=>[{3},{2},{1,6},{4},{5}]=>[3,2,1,6,4,5]
[3,2,1,5,3,4]=>[{3},{2},{1,5},{6},{4}]=>[3,2,1,5,6,4]
[3,2,1,5,4,3]=>[{3},{2},{1,6},{5},{4}]=>[3,2,1,6,5,4]
[3,2,3,1,4,5]=>[{4},{2},{1,3},{5},{6}]=>[4,2,1,3,5,6]
[3,2,3,1,5,4]=>[{4},{2},{1,3},{6},{5}]=>[4,2,1,3,6,5]
[3,2,3,4,1,5]=>[{5},{2},{1,3},{4},{6}]=>[5,2,1,3,4,6]
[3,2,3,4,5,1]=>[{6},{2},{1,3},{4},{5}]=>[6,2,1,3,4,5]
[3,2,3,5,1,4]=>[{5},{2},{1,3},{6},{4}]=>[5,2,1,3,6,4]
[3,2,3,5,4,1]=>[{6},{2},{1,3},{5},{4}]=>[6,2,1,3,5,4]
[3,2,4,1,3,5]=>[{4},{2},{1,5},{3},{6}]=>[4,2,1,5,3,6]
[3,2,4,1,5,3]=>[{4},{2},{1,6},{3},{5}]=>[4,2,1,6,3,5]
[3,2,4,3,1,5]=>[{5},{2},{1,4},{3},{6}]=>[5,2,1,4,3,6]
[3,2,4,3,5,1]=>[{6},{2},{1,4},{3},{5}]=>[6,2,1,4,3,5]
[3,2,4,5,1,3]=>[{5},{2},{1,6},{3},{4}]=>[5,2,1,6,3,4]
[3,2,4,5,3,1]=>[{6},{2},{1,5},{3},{4}]=>[6,2,1,5,3,4]
[3,2,5,1,3,4]=>[{4},{2},{1,5},{6},{3}]=>[4,2,1,5,6,3]
[3,2,5,1,4,3]=>[{4},{2},{1,6},{5},{3}]=>[4,2,1,6,5,3]
[3,2,5,3,1,4]=>[{5},{2},{1,4},{6},{3}]=>[5,2,1,4,6,3]
[3,2,5,3,4,1]=>[{6},{2},{1,4},{5},{3}]=>[6,2,1,4,5,3]
[3,2,5,4,1,3]=>[{5},{2},{1,6},{4},{3}]=>[5,2,1,6,4,3]
[3,2,5,4,3,1]=>[{6},{2},{1,5},{4},{3}]=>[6,2,1,5,4,3]
[3,3,1,2,4,5]=>[{3},{4},{1,2},{5},{6}]=>[3,4,1,2,5,6]
[3,3,1,2,5,4]=>[{3},{4},{1,2},{6},{5}]=>[3,4,1,2,6,5]
[3,3,1,4,2,5]=>[{3},{5},{1,2},{4},{6}]=>[3,5,1,2,4,6]
[3,3,1,4,5,2]=>[{3},{6},{1,2},{4},{5}]=>[3,6,1,2,4,5]
[3,3,1,5,2,4]=>[{3},{5},{1,2},{6},{4}]=>[3,5,1,2,6,4]
[3,3,1,5,4,2]=>[{3},{6},{1,2},{5},{4}]=>[3,6,1,2,5,4]
[3,3,2,1,4,5]=>[{4},{3},{1,2},{5},{6}]=>[4,3,1,2,5,6]
[3,3,2,1,5,4]=>[{4},{3},{1,2},{6},{5}]=>[4,3,1,2,6,5]
[3,3,2,4,1,5]=>[{5},{3},{1,2},{4},{6}]=>[5,3,1,2,4,6]
[3,3,2,4,5,1]=>[{6},{3},{1,2},{4},{5}]=>[6,3,1,2,4,5]
[3,3,2,5,1,4]=>[{5},{3},{1,2},{6},{4}]=>[5,3,1,2,6,4]
[3,3,2,5,4,1]=>[{6},{3},{1,2},{5},{4}]=>[6,3,1,2,5,4]
[3,3,4,1,2,5]=>[{4},{5},{1,2},{3},{6}]=>[4,5,1,2,3,6]
[3,3,4,1,5,2]=>[{4},{6},{1,2},{3},{5}]=>[4,6,1,2,3,5]
[3,3,4,2,1,5]=>[{5},{4},{1,2},{3},{6}]=>[5,4,1,2,3,6]
[3,3,4,2,5,1]=>[{6},{4},{1,2},{3},{5}]=>[6,4,1,2,3,5]
[3,3,4,5,1,2]=>[{5},{6},{1,2},{3},{4}]=>[5,6,1,2,3,4]
[3,3,4,5,2,1]=>[{6},{5},{1,2},{3},{4}]=>[6,5,1,2,3,4]
[3,3,5,1,2,4]=>[{4},{5},{1,2},{6},{3}]=>[4,5,1,2,6,3]
[3,3,5,1,4,2]=>[{4},{6},{1,2},{5},{3}]=>[4,6,1,2,5,3]
[3,3,5,2,1,4]=>[{5},{4},{1,2},{6},{3}]=>[5,4,1,2,6,3]
[3,3,5,2,4,1]=>[{6},{4},{1,2},{5},{3}]=>[6,4,1,2,5,3]
[3,3,5,4,1,2]=>[{5},{6},{1,2},{4},{3}]=>[5,6,1,2,4,3]
[3,3,5,4,2,1]=>[{6},{5},{1,2},{4},{3}]=>[6,5,1,2,4,3]
[3,4,1,2,3,5]=>[{3},{4},{1,5},{2},{6}]=>[3,4,1,5,2,6]
[3,4,1,2,5,3]=>[{3},{4},{1,6},{2},{5}]=>[3,4,1,6,2,5]
[3,4,1,3,2,5]=>[{3},{5},{1,4},{2},{6}]=>[3,5,1,4,2,6]
[3,4,1,3,5,2]=>[{3},{6},{1,4},{2},{5}]=>[3,6,1,4,2,5]
[3,4,1,5,2,3]=>[{3},{5},{1,6},{2},{4}]=>[3,5,1,6,2,4]
[3,4,1,5,3,2]=>[{3},{6},{1,5},{2},{4}]=>[3,6,1,5,2,4]
[3,4,2,1,3,5]=>[{4},{3},{1,5},{2},{6}]=>[4,3,1,5,2,6]
[3,4,2,1,5,3]=>[{4},{3},{1,6},{2},{5}]=>[4,3,1,6,2,5]
[3,4,2,3,1,5]=>[{5},{3},{1,4},{2},{6}]=>[5,3,1,4,2,6]
[3,4,2,3,5,1]=>[{6},{3},{1,4},{2},{5}]=>[6,3,1,4,2,5]
[3,4,2,5,1,3]=>[{5},{3},{1,6},{2},{4}]=>[5,3,1,6,2,4]
[3,4,2,5,3,1]=>[{6},{3},{1,5},{2},{4}]=>[6,3,1,5,2,4]
[3,4,3,1,2,5]=>[{4},{5},{1,3},{2},{6}]=>[4,5,1,3,2,6]
[3,4,3,1,5,2]=>[{4},{6},{1,3},{2},{5}]=>[4,6,1,3,2,5]
[3,4,3,2,1,5]=>[{5},{4},{1,3},{2},{6}]=>[5,4,1,3,2,6]
[3,4,3,2,5,1]=>[{6},{4},{1,3},{2},{5}]=>[6,4,1,3,2,5]
[3,4,3,5,1,2]=>[{5},{6},{1,3},{2},{4}]=>[5,6,1,3,2,4]
[3,4,3,5,2,1]=>[{6},{5},{1,3},{2},{4}]=>[6,5,1,3,2,4]
[3,4,5,1,2,3]=>[{4},{5},{1,6},{2},{3}]=>[4,5,1,6,2,3]
[3,4,5,1,3,2]=>[{4},{6},{1,5},{2},{3}]=>[4,6,1,5,2,3]
[3,4,5,2,1,3]=>[{5},{4},{1,6},{2},{3}]=>[5,4,1,6,2,3]
[3,4,5,2,3,1]=>[{6},{4},{1,5},{2},{3}]=>[6,4,1,5,2,3]
[3,4,5,3,1,2]=>[{5},{6},{1,4},{2},{3}]=>[5,6,1,4,2,3]
[3,4,5,3,2,1]=>[{6},{5},{1,4},{2},{3}]=>[6,5,1,4,2,3]
[3,5,1,2,3,4]=>[{3},{4},{1,5},{6},{2}]=>[3,4,1,5,6,2]
[3,5,1,2,4,3]=>[{3},{4},{1,6},{5},{2}]=>[3,4,1,6,5,2]
[3,5,1,3,2,4]=>[{3},{5},{1,4},{6},{2}]=>[3,5,1,4,6,2]
[3,5,1,3,4,2]=>[{3},{6},{1,4},{5},{2}]=>[3,6,1,4,5,2]
[3,5,1,4,2,3]=>[{3},{5},{1,6},{4},{2}]=>[3,5,1,6,4,2]
[3,5,1,4,3,2]=>[{3},{6},{1,5},{4},{2}]=>[3,6,1,5,4,2]
[3,5,2,1,3,4]=>[{4},{3},{1,5},{6},{2}]=>[4,3,1,5,6,2]
[3,5,2,1,4,3]=>[{4},{3},{1,6},{5},{2}]=>[4,3,1,6,5,2]
[3,5,2,3,1,4]=>[{5},{3},{1,4},{6},{2}]=>[5,3,1,4,6,2]
[3,5,2,3,4,1]=>[{6},{3},{1,4},{5},{2}]=>[6,3,1,4,5,2]
[3,5,2,4,1,3]=>[{5},{3},{1,6},{4},{2}]=>[5,3,1,6,4,2]
[3,5,2,4,3,1]=>[{6},{3},{1,5},{4},{2}]=>[6,3,1,5,4,2]
[3,5,3,1,2,4]=>[{4},{5},{1,3},{6},{2}]=>[4,5,1,3,6,2]
[3,5,3,1,4,2]=>[{4},{6},{1,3},{5},{2}]=>[4,6,1,3,5,2]
[3,5,3,2,1,4]=>[{5},{4},{1,3},{6},{2}]=>[5,4,1,3,6,2]
[3,5,3,2,4,1]=>[{6},{4},{1,3},{5},{2}]=>[6,4,1,3,5,2]
[3,5,3,4,1,2]=>[{5},{6},{1,3},{4},{2}]=>[5,6,1,3,4,2]
[3,5,3,4,2,1]=>[{6},{5},{1,3},{4},{2}]=>[6,5,1,3,4,2]
[3,5,4,1,2,3]=>[{4},{5},{1,6},{3},{2}]=>[4,5,1,6,3,2]
[3,5,4,1,3,2]=>[{4},{6},{1,5},{3},{2}]=>[4,6,1,5,3,2]
[3,5,4,2,1,3]=>[{5},{4},{1,6},{3},{2}]=>[5,4,1,6,3,2]
[3,5,4,2,3,1]=>[{6},{4},{1,5},{3},{2}]=>[6,4,1,5,3,2]
[3,5,4,3,1,2]=>[{5},{6},{1,4},{3},{2}]=>[5,6,1,4,3,2]
[3,5,4,3,2,1]=>[{6},{5},{1,4},{3},{2}]=>[6,5,1,4,3,2]
[4,1,2,3,3,5]=>[{2},{3},{4,5},{1},{6}]=>[2,3,4,5,1,6]
[4,1,2,3,5,3]=>[{2},{3},{4,6},{1},{5}]=>[2,3,4,6,1,5]
[4,1,2,5,3,3]=>[{2},{3},{5,6},{1},{4}]=>[2,3,5,6,1,4]
[4,1,3,2,3,5]=>[{2},{4},{3,5},{1},{6}]=>[2,4,3,5,1,6]
[4,1,3,2,5,3]=>[{2},{4},{3,6},{1},{5}]=>[2,4,3,6,1,5]
[4,1,3,3,2,5]=>[{2},{5},{3,4},{1},{6}]=>[2,5,3,4,1,6]
[4,1,3,3,5,2]=>[{2},{6},{3,4},{1},{5}]=>[2,6,3,4,1,5]
[4,1,3,5,2,3]=>[{2},{5},{3,6},{1},{4}]=>[2,5,3,6,1,4]
[4,1,3,5,3,2]=>[{2},{6},{3,5},{1},{4}]=>[2,6,3,5,1,4]
[4,1,5,2,3,3]=>[{2},{4},{5,6},{1},{3}]=>[2,4,5,6,1,3]
[4,1,5,3,2,3]=>[{2},{5},{4,6},{1},{3}]=>[2,5,4,6,1,3]
[4,1,5,3,3,2]=>[{2},{6},{4,5},{1},{3}]=>[2,6,4,5,1,3]
[4,2,1,3,3,5]=>[{3},{2},{4,5},{1},{6}]=>[3,2,4,5,1,6]
[4,2,1,3,5,3]=>[{3},{2},{4,6},{1},{5}]=>[3,2,4,6,1,5]
[4,2,1,5,3,3]=>[{3},{2},{5,6},{1},{4}]=>[3,2,5,6,1,4]
[4,2,3,1,3,5]=>[{4},{2},{3,5},{1},{6}]=>[4,2,3,5,1,6]
[4,2,3,1,5,3]=>[{4},{2},{3,6},{1},{5}]=>[4,2,3,6,1,5]
[4,2,3,3,1,5]=>[{5},{2},{3,4},{1},{6}]=>[5,2,3,4,1,6]
[4,2,3,3,5,1]=>[{6},{2},{3,4},{1},{5}]=>[6,2,3,4,1,5]
[4,2,3,5,1,3]=>[{5},{2},{3,6},{1},{4}]=>[5,2,3,6,1,4]
[4,2,3,5,3,1]=>[{6},{2},{3,5},{1},{4}]=>[6,2,3,5,1,4]
[4,2,5,1,3,3]=>[{4},{2},{5,6},{1},{3}]=>[4,2,5,6,1,3]
[4,2,5,3,1,3]=>[{5},{2},{4,6},{1},{3}]=>[5,2,4,6,1,3]
[4,2,5,3,3,1]=>[{6},{2},{4,5},{1},{3}]=>[6,2,4,5,1,3]
[4,3,1,2,3,5]=>[{3},{4},{2,5},{1},{6}]=>[3,4,2,5,1,6]
[4,3,1,2,5,3]=>[{3},{4},{2,6},{1},{5}]=>[3,4,2,6,1,5]
[4,3,1,3,2,5]=>[{3},{5},{2,4},{1},{6}]=>[3,5,2,4,1,6]
[4,3,1,3,5,2]=>[{3},{6},{2,4},{1},{5}]=>[3,6,2,4,1,5]
[4,3,1,5,2,3]=>[{3},{5},{2,6},{1},{4}]=>[3,5,2,6,1,4]
[4,3,1,5,3,2]=>[{3},{6},{2,5},{1},{4}]=>[3,6,2,5,1,4]
[4,3,2,1,3,5]=>[{4},{3},{2,5},{1},{6}]=>[4,3,2,5,1,6]
[4,3,2,1,5,3]=>[{4},{3},{2,6},{1},{5}]=>[4,3,2,6,1,5]
[4,3,2,3,1,5]=>[{5},{3},{2,4},{1},{6}]=>[5,3,2,4,1,6]
[4,3,2,3,5,1]=>[{6},{3},{2,4},{1},{5}]=>[6,3,2,4,1,5]
[4,3,2,5,1,3]=>[{5},{3},{2,6},{1},{4}]=>[5,3,2,6,1,4]
[4,3,2,5,3,1]=>[{6},{3},{2,5},{1},{4}]=>[6,3,2,5,1,4]
[4,3,3,1,2,5]=>[{4},{5},{2,3},{1},{6}]=>[4,5,2,3,1,6]
[4,3,3,1,5,2]=>[{4},{6},{2,3},{1},{5}]=>[4,6,2,3,1,5]
[4,3,3,2,1,5]=>[{5},{4},{2,3},{1},{6}]=>[5,4,2,3,1,6]
[4,3,3,2,5,1]=>[{6},{4},{2,3},{1},{5}]=>[6,4,2,3,1,5]
[4,3,3,5,1,2]=>[{5},{6},{2,3},{1},{4}]=>[5,6,2,3,1,4]
[4,3,3,5,2,1]=>[{6},{5},{2,3},{1},{4}]=>[6,5,2,3,1,4]
[4,3,5,1,2,3]=>[{4},{5},{2,6},{1},{3}]=>[4,5,2,6,1,3]
[4,3,5,1,3,2]=>[{4},{6},{2,5},{1},{3}]=>[4,6,2,5,1,3]
[4,3,5,2,1,3]=>[{5},{4},{2,6},{1},{3}]=>[5,4,2,6,1,3]
[4,3,5,2,3,1]=>[{6},{4},{2,5},{1},{3}]=>[6,4,2,5,1,3]
[4,3,5,3,1,2]=>[{5},{6},{2,4},{1},{3}]=>[5,6,2,4,1,3]
[4,3,5,3,2,1]=>[{6},{5},{2,4},{1},{3}]=>[6,5,2,4,1,3]
[4,5,1,2,3,3]=>[{3},{4},{5,6},{1},{2}]=>[3,4,5,6,1,2]
[4,5,1,3,2,3]=>[{3},{5},{4,6},{1},{2}]=>[3,5,4,6,1,2]
[4,5,1,3,3,2]=>[{3},{6},{4,5},{1},{2}]=>[3,6,4,5,1,2]
[4,5,2,1,3,3]=>[{4},{3},{5,6},{1},{2}]=>[4,3,5,6,1,2]
[4,5,2,3,1,3]=>[{5},{3},{4,6},{1},{2}]=>[5,3,4,6,1,2]
[4,5,2,3,3,1]=>[{6},{3},{4,5},{1},{2}]=>[6,3,4,5,1,2]
[4,5,3,1,2,3]=>[{4},{5},{3,6},{1},{2}]=>[4,5,3,6,1,2]
[4,5,3,1,3,2]=>[{4},{6},{3,5},{1},{2}]=>[4,6,3,5,1,2]
[4,5,3,2,1,3]=>[{5},{4},{3,6},{1},{2}]=>[5,4,3,6,1,2]
[4,5,3,2,3,1]=>[{6},{4},{3,5},{1},{2}]=>[6,4,3,5,1,2]
[4,5,3,3,1,2]=>[{5},{6},{3,4},{1},{2}]=>[5,6,3,4,1,2]
[4,5,3,3,2,1]=>[{6},{5},{3,4},{1},{2}]=>[6,5,3,4,1,2]
[5,1,2,3,3,4]=>[{2},{3},{4,5},{6},{1}]=>[2,3,4,5,6,1]
[5,1,2,3,4,3]=>[{2},{3},{4,6},{5},{1}]=>[2,3,4,6,5,1]
[5,1,2,4,3,3]=>[{2},{3},{5,6},{4},{1}]=>[2,3,5,6,4,1]
[5,1,3,2,3,4]=>[{2},{4},{3,5},{6},{1}]=>[2,4,3,5,6,1]
[5,1,3,2,4,3]=>[{2},{4},{3,6},{5},{1}]=>[2,4,3,6,5,1]
[5,1,3,3,2,4]=>[{2},{5},{3,4},{6},{1}]=>[2,5,3,4,6,1]
[5,1,3,3,4,2]=>[{2},{6},{3,4},{5},{1}]=>[2,6,3,4,5,1]
[5,1,3,4,2,3]=>[{2},{5},{3,6},{4},{1}]=>[2,5,3,6,4,1]
[5,1,3,4,3,2]=>[{2},{6},{3,5},{4},{1}]=>[2,6,3,5,4,1]
[5,1,4,2,3,3]=>[{2},{4},{5,6},{3},{1}]=>[2,4,5,6,3,1]
[5,1,4,3,2,3]=>[{2},{5},{4,6},{3},{1}]=>[2,5,4,6,3,1]
[5,1,4,3,3,2]=>[{2},{6},{4,5},{3},{1}]=>[2,6,4,5,3,1]
[5,2,1,3,3,4]=>[{3},{2},{4,5},{6},{1}]=>[3,2,4,5,6,1]
[5,2,1,3,4,3]=>[{3},{2},{4,6},{5},{1}]=>[3,2,4,6,5,1]
[5,2,1,4,3,3]=>[{3},{2},{5,6},{4},{1}]=>[3,2,5,6,4,1]
[5,2,3,1,3,4]=>[{4},{2},{3,5},{6},{1}]=>[4,2,3,5,6,1]
[5,2,3,1,4,3]=>[{4},{2},{3,6},{5},{1}]=>[4,2,3,6,5,1]
[5,2,3,3,1,4]=>[{5},{2},{3,4},{6},{1}]=>[5,2,3,4,6,1]
[5,2,3,3,4,1]=>[{6},{2},{3,4},{5},{1}]=>[6,2,3,4,5,1]
[5,2,3,4,1,3]=>[{5},{2},{3,6},{4},{1}]=>[5,2,3,6,4,1]
[5,2,3,4,3,1]=>[{6},{2},{3,5},{4},{1}]=>[6,2,3,5,4,1]
[5,2,4,1,3,3]=>[{4},{2},{5,6},{3},{1}]=>[4,2,5,6,3,1]
[5,2,4,3,1,3]=>[{5},{2},{4,6},{3},{1}]=>[5,2,4,6,3,1]
[5,2,4,3,3,1]=>[{6},{2},{4,5},{3},{1}]=>[6,2,4,5,3,1]
[5,3,1,2,3,4]=>[{3},{4},{2,5},{6},{1}]=>[3,4,2,5,6,1]
[5,3,1,2,4,3]=>[{3},{4},{2,6},{5},{1}]=>[3,4,2,6,5,1]
[5,3,1,3,2,4]=>[{3},{5},{2,4},{6},{1}]=>[3,5,2,4,6,1]
[5,3,1,3,4,2]=>[{3},{6},{2,4},{5},{1}]=>[3,6,2,4,5,1]
[5,3,1,4,2,3]=>[{3},{5},{2,6},{4},{1}]=>[3,5,2,6,4,1]
[5,3,1,4,3,2]=>[{3},{6},{2,5},{4},{1}]=>[3,6,2,5,4,1]
[5,3,2,1,3,4]=>[{4},{3},{2,5},{6},{1}]=>[4,3,2,5,6,1]
[5,3,2,1,4,3]=>[{4},{3},{2,6},{5},{1}]=>[4,3,2,6,5,1]
[5,3,2,3,1,4]=>[{5},{3},{2,4},{6},{1}]=>[5,3,2,4,6,1]
[5,3,2,3,4,1]=>[{6},{3},{2,4},{5},{1}]=>[6,3,2,4,5,1]
[5,3,2,4,1,3]=>[{5},{3},{2,6},{4},{1}]=>[5,3,2,6,4,1]
[5,3,2,4,3,1]=>[{6},{3},{2,5},{4},{1}]=>[6,3,2,5,4,1]
[5,3,3,1,2,4]=>[{4},{5},{2,3},{6},{1}]=>[4,5,2,3,6,1]
[5,3,3,1,4,2]=>[{4},{6},{2,3},{5},{1}]=>[4,6,2,3,5,1]
[5,3,3,2,1,4]=>[{5},{4},{2,3},{6},{1}]=>[5,4,2,3,6,1]
[5,3,3,2,4,1]=>[{6},{4},{2,3},{5},{1}]=>[6,4,2,3,5,1]
[5,3,3,4,1,2]=>[{5},{6},{2,3},{4},{1}]=>[5,6,2,3,4,1]
[5,3,3,4,2,1]=>[{6},{5},{2,3},{4},{1}]=>[6,5,2,3,4,1]
[5,3,4,1,2,3]=>[{4},{5},{2,6},{3},{1}]=>[4,5,2,6,3,1]
[5,3,4,1,3,2]=>[{4},{6},{2,5},{3},{1}]=>[4,6,2,5,3,1]
[5,3,4,2,1,3]=>[{5},{4},{2,6},{3},{1}]=>[5,4,2,6,3,1]
[5,3,4,2,3,1]=>[{6},{4},{2,5},{3},{1}]=>[6,4,2,5,3,1]
[5,3,4,3,1,2]=>[{5},{6},{2,4},{3},{1}]=>[5,6,2,4,3,1]
[5,3,4,3,2,1]=>[{6},{5},{2,4},{3},{1}]=>[6,5,2,4,3,1]
[5,4,1,2,3,3]=>[{3},{4},{5,6},{2},{1}]=>[3,4,5,6,2,1]
[5,4,1,3,2,3]=>[{3},{5},{4,6},{2},{1}]=>[3,5,4,6,2,1]
[5,4,1,3,3,2]=>[{3},{6},{4,5},{2},{1}]=>[3,6,4,5,2,1]
[5,4,2,1,3,3]=>[{4},{3},{5,6},{2},{1}]=>[4,3,5,6,2,1]
[5,4,2,3,1,3]=>[{5},{3},{4,6},{2},{1}]=>[5,3,4,6,2,1]
[5,4,2,3,3,1]=>[{6},{3},{4,5},{2},{1}]=>[6,3,4,5,2,1]
[5,4,3,1,2,3]=>[{4},{5},{3,6},{2},{1}]=>[4,5,3,6,2,1]
[5,4,3,1,3,2]=>[{4},{6},{3,5},{2},{1}]=>[4,6,3,5,2,1]
[5,4,3,2,1,3]=>[{5},{4},{3,6},{2},{1}]=>[5,4,3,6,2,1]
[5,4,3,2,3,1]=>[{6},{4},{3,5},{2},{1}]=>[6,4,3,5,2,1]
[5,4,3,3,1,2]=>[{5},{6},{3,4},{2},{1}]=>[5,6,3,4,2,1]
[5,4,3,3,2,1]=>[{6},{5},{3,4},{2},{1}]=>[6,5,3,4,2,1]
[1,2,3,3,4,6]=>[{1},{2},{3,4},{5},{6}]=>[1,2,3,4,5,6]
[1,2,3,3,6,4]=>[{1},{2},{3,4},{6},{5}]=>[1,2,3,4,6,5]
[1,2,3,4,3,6]=>[{1},{2},{3,5},{4},{6}]=>[1,2,3,5,4,6]
[1,2,3,4,6,3]=>[{1},{2},{3,6},{4},{5}]=>[1,2,3,6,4,5]
[1,2,3,6,3,4]=>[{1},{2},{3,5},{6},{4}]=>[1,2,3,5,6,4]
[1,2,3,6,4,3]=>[{1},{2},{3,6},{5},{4}]=>[1,2,3,6,5,4]
[1,2,4,3,3,6]=>[{1},{2},{4,5},{3},{6}]=>[1,2,4,5,3,6]
[1,2,4,3,6,3]=>[{1},{2},{4,6},{3},{5}]=>[1,2,4,6,3,5]
[1,2,4,6,3,3]=>[{1},{2},{5,6},{3},{4}]=>[1,2,5,6,3,4]
[1,2,6,3,3,4]=>[{1},{2},{4,5},{6},{3}]=>[1,2,4,5,6,3]
[1,2,6,3,4,3]=>[{1},{2},{4,6},{5},{3}]=>[1,2,4,6,5,3]
[1,2,6,4,3,3]=>[{1},{2},{5,6},{4},{3}]=>[1,2,5,6,4,3]
[1,3,2,3,4,6]=>[{1},{3},{2,4},{5},{6}]=>[1,3,2,4,5,6]
[1,3,2,3,6,4]=>[{1},{3},{2,4},{6},{5}]=>[1,3,2,4,6,5]
[1,3,2,4,3,6]=>[{1},{3},{2,5},{4},{6}]=>[1,3,2,5,4,6]
[1,3,2,4,6,3]=>[{1},{3},{2,6},{4},{5}]=>[1,3,2,6,4,5]
[1,3,2,6,3,4]=>[{1},{3},{2,5},{6},{4}]=>[1,3,2,5,6,4]
[1,3,2,6,4,3]=>[{1},{3},{2,6},{5},{4}]=>[1,3,2,6,5,4]
[1,3,3,2,4,6]=>[{1},{4},{2,3},{5},{6}]=>[1,4,2,3,5,6]
[1,3,3,2,6,4]=>[{1},{4},{2,3},{6},{5}]=>[1,4,2,3,6,5]
[1,3,3,4,2,6]=>[{1},{5},{2,3},{4},{6}]=>[1,5,2,3,4,6]
[1,3,3,4,6,2]=>[{1},{6},{2,3},{4},{5}]=>[1,6,2,3,4,5]
[1,3,3,6,2,4]=>[{1},{5},{2,3},{6},{4}]=>[1,5,2,3,6,4]
[1,3,3,6,4,2]=>[{1},{6},{2,3},{5},{4}]=>[1,6,2,3,5,4]
[1,3,4,2,3,6]=>[{1},{4},{2,5},{3},{6}]=>[1,4,2,5,3,6]
[1,3,4,2,6,3]=>[{1},{4},{2,6},{3},{5}]=>[1,4,2,6,3,5]
[1,3,4,3,2,6]=>[{1},{5},{2,4},{3},{6}]=>[1,5,2,4,3,6]
[1,3,4,3,6,2]=>[{1},{6},{2,4},{3},{5}]=>[1,6,2,4,3,5]
[1,3,4,6,2,3]=>[{1},{5},{2,6},{3},{4}]=>[1,5,2,6,3,4]
[1,3,4,6,3,2]=>[{1},{6},{2,5},{3},{4}]=>[1,6,2,5,3,4]
[1,3,6,2,3,4]=>[{1},{4},{2,5},{6},{3}]=>[1,4,2,5,6,3]
[1,3,6,2,4,3]=>[{1},{4},{2,6},{5},{3}]=>[1,4,2,6,5,3]
[1,3,6,3,2,4]=>[{1},{5},{2,4},{6},{3}]=>[1,5,2,4,6,3]
[1,3,6,3,4,2]=>[{1},{6},{2,4},{5},{3}]=>[1,6,2,4,5,3]
[1,3,6,4,2,3]=>[{1},{5},{2,6},{4},{3}]=>[1,5,2,6,4,3]
[1,3,6,4,3,2]=>[{1},{6},{2,5},{4},{3}]=>[1,6,2,5,4,3]
[1,4,2,3,3,6]=>[{1},{3},{4,5},{2},{6}]=>[1,3,4,5,2,6]
[1,4,2,3,6,3]=>[{1},{3},{4,6},{2},{5}]=>[1,3,4,6,2,5]
[1,4,2,6,3,3]=>[{1},{3},{5,6},{2},{4}]=>[1,3,5,6,2,4]
[1,4,3,2,3,6]=>[{1},{4},{3,5},{2},{6}]=>[1,4,3,5,2,6]
[1,4,3,2,6,3]=>[{1},{4},{3,6},{2},{5}]=>[1,4,3,6,2,5]
[1,4,3,3,2,6]=>[{1},{5},{3,4},{2},{6}]=>[1,5,3,4,2,6]
[1,4,3,3,6,2]=>[{1},{6},{3,4},{2},{5}]=>[1,6,3,4,2,5]
[1,4,3,6,2,3]=>[{1},{5},{3,6},{2},{4}]=>[1,5,3,6,2,4]
[1,4,3,6,3,2]=>[{1},{6},{3,5},{2},{4}]=>[1,6,3,5,2,4]
[1,4,6,2,3,3]=>[{1},{4},{5,6},{2},{3}]=>[1,4,5,6,2,3]
[1,4,6,3,2,3]=>[{1},{5},{4,6},{2},{3}]=>[1,5,4,6,2,3]
[1,4,6,3,3,2]=>[{1},{6},{4,5},{2},{3}]=>[1,6,4,5,2,3]
[1,6,2,3,3,4]=>[{1},{3},{4,5},{6},{2}]=>[1,3,4,5,6,2]
[1,6,2,3,4,3]=>[{1},{3},{4,6},{5},{2}]=>[1,3,4,6,5,2]
[1,6,2,4,3,3]=>[{1},{3},{5,6},{4},{2}]=>[1,3,5,6,4,2]
[1,6,3,2,3,4]=>[{1},{4},{3,5},{6},{2}]=>[1,4,3,5,6,2]
[1,6,3,2,4,3]=>[{1},{4},{3,6},{5},{2}]=>[1,4,3,6,5,2]
[1,6,3,3,2,4]=>[{1},{5},{3,4},{6},{2}]=>[1,5,3,4,6,2]
[1,6,3,3,4,2]=>[{1},{6},{3,4},{5},{2}]=>[1,6,3,4,5,2]
[1,6,3,4,2,3]=>[{1},{5},{3,6},{4},{2}]=>[1,5,3,6,4,2]
[1,6,3,4,3,2]=>[{1},{6},{3,5},{4},{2}]=>[1,6,3,5,4,2]
[1,6,4,2,3,3]=>[{1},{4},{5,6},{3},{2}]=>[1,4,5,6,3,2]
[1,6,4,3,2,3]=>[{1},{5},{4,6},{3},{2}]=>[1,5,4,6,3,2]
[1,6,4,3,3,2]=>[{1},{6},{4,5},{3},{2}]=>[1,6,4,5,3,2]
[2,1,3,3,4,6]=>[{2},{1},{3,4},{5},{6}]=>[2,1,3,4,5,6]
[2,1,3,3,6,4]=>[{2},{1},{3,4},{6},{5}]=>[2,1,3,4,6,5]
[2,1,3,4,3,6]=>[{2},{1},{3,5},{4},{6}]=>[2,1,3,5,4,6]
[2,1,3,4,6,3]=>[{2},{1},{3,6},{4},{5}]=>[2,1,3,6,4,5]
[2,1,3,6,3,4]=>[{2},{1},{3,5},{6},{4}]=>[2,1,3,5,6,4]
[2,1,3,6,4,3]=>[{2},{1},{3,6},{5},{4}]=>[2,1,3,6,5,4]
[2,1,4,3,3,6]=>[{2},{1},{4,5},{3},{6}]=>[2,1,4,5,3,6]
[2,1,4,3,6,3]=>[{2},{1},{4,6},{3},{5}]=>[2,1,4,6,3,5]
[2,1,4,6,3,3]=>[{2},{1},{5,6},{3},{4}]=>[2,1,5,6,3,4]
[2,1,6,3,3,4]=>[{2},{1},{4,5},{6},{3}]=>[2,1,4,5,6,3]
[2,1,6,3,4,3]=>[{2},{1},{4,6},{5},{3}]=>[2,1,4,6,5,3]
[2,1,6,4,3,3]=>[{2},{1},{5,6},{4},{3}]=>[2,1,5,6,4,3]
[2,3,1,3,4,6]=>[{3},{1},{2,4},{5},{6}]=>[3,1,2,4,5,6]
[2,3,1,3,6,4]=>[{3},{1},{2,4},{6},{5}]=>[3,1,2,4,6,5]
[2,3,1,4,3,6]=>[{3},{1},{2,5},{4},{6}]=>[3,1,2,5,4,6]
[2,3,1,4,6,3]=>[{3},{1},{2,6},{4},{5}]=>[3,1,2,6,4,5]
[2,3,1,6,3,4]=>[{3},{1},{2,5},{6},{4}]=>[3,1,2,5,6,4]
[2,3,1,6,4,3]=>[{3},{1},{2,6},{5},{4}]=>[3,1,2,6,5,4]
[2,3,3,1,4,6]=>[{4},{1},{2,3},{5},{6}]=>[4,1,2,3,5,6]
[2,3,3,1,6,4]=>[{4},{1},{2,3},{6},{5}]=>[4,1,2,3,6,5]
[2,3,3,4,1,6]=>[{5},{1},{2,3},{4},{6}]=>[5,1,2,3,4,6]
[2,3,3,4,6,1]=>[{6},{1},{2,3},{4},{5}]=>[6,1,2,3,4,5]
[2,3,3,6,1,4]=>[{5},{1},{2,3},{6},{4}]=>[5,1,2,3,6,4]
[2,3,3,6,4,1]=>[{6},{1},{2,3},{5},{4}]=>[6,1,2,3,5,4]
[2,3,4,1,3,6]=>[{4},{1},{2,5},{3},{6}]=>[4,1,2,5,3,6]
[2,3,4,1,6,3]=>[{4},{1},{2,6},{3},{5}]=>[4,1,2,6,3,5]
[2,3,4,3,1,6]=>[{5},{1},{2,4},{3},{6}]=>[5,1,2,4,3,6]
[2,3,4,3,6,1]=>[{6},{1},{2,4},{3},{5}]=>[6,1,2,4,3,5]
[2,3,4,6,1,3]=>[{5},{1},{2,6},{3},{4}]=>[5,1,2,6,3,4]
[2,3,4,6,3,1]=>[{6},{1},{2,5},{3},{4}]=>[6,1,2,5,3,4]
[2,3,6,1,3,4]=>[{4},{1},{2,5},{6},{3}]=>[4,1,2,5,6,3]
[2,3,6,1,4,3]=>[{4},{1},{2,6},{5},{3}]=>[4,1,2,6,5,3]
[2,3,6,3,1,4]=>[{5},{1},{2,4},{6},{3}]=>[5,1,2,4,6,3]
[2,3,6,3,4,1]=>[{6},{1},{2,4},{5},{3}]=>[6,1,2,4,5,3]
[2,3,6,4,1,3]=>[{5},{1},{2,6},{4},{3}]=>[5,1,2,6,4,3]
[2,3,6,4,3,1]=>[{6},{1},{2,5},{4},{3}]=>[6,1,2,5,4,3]
[2,4,1,3,3,6]=>[{3},{1},{4,5},{2},{6}]=>[3,1,4,5,2,6]
[2,4,1,3,6,3]=>[{3},{1},{4,6},{2},{5}]=>[3,1,4,6,2,5]
[2,4,1,6,3,3]=>[{3},{1},{5,6},{2},{4}]=>[3,1,5,6,2,4]
[2,4,3,1,3,6]=>[{4},{1},{3,5},{2},{6}]=>[4,1,3,5,2,6]
[2,4,3,1,6,3]=>[{4},{1},{3,6},{2},{5}]=>[4,1,3,6,2,5]
[2,4,3,3,1,6]=>[{5},{1},{3,4},{2},{6}]=>[5,1,3,4,2,6]
[2,4,3,3,6,1]=>[{6},{1},{3,4},{2},{5}]=>[6,1,3,4,2,5]
[2,4,3,6,1,3]=>[{5},{1},{3,6},{2},{4}]=>[5,1,3,6,2,4]
[2,4,3,6,3,1]=>[{6},{1},{3,5},{2},{4}]=>[6,1,3,5,2,4]
[2,4,6,1,3,3]=>[{4},{1},{5,6},{2},{3}]=>[4,1,5,6,2,3]
[2,4,6,3,1,3]=>[{5},{1},{4,6},{2},{3}]=>[5,1,4,6,2,3]
[2,4,6,3,3,1]=>[{6},{1},{4,5},{2},{3}]=>[6,1,4,5,2,3]
[2,6,1,3,3,4]=>[{3},{1},{4,5},{6},{2}]=>[3,1,4,5,6,2]
[2,6,1,3,4,3]=>[{3},{1},{4,6},{5},{2}]=>[3,1,4,6,5,2]
[2,6,1,4,3,3]=>[{3},{1},{5,6},{4},{2}]=>[3,1,5,6,4,2]
[2,6,3,1,3,4]=>[{4},{1},{3,5},{6},{2}]=>[4,1,3,5,6,2]
[2,6,3,1,4,3]=>[{4},{1},{3,6},{5},{2}]=>[4,1,3,6,5,2]
[2,6,3,3,1,4]=>[{5},{1},{3,4},{6},{2}]=>[5,1,3,4,6,2]
[2,6,3,3,4,1]=>[{6},{1},{3,4},{5},{2}]=>[6,1,3,4,5,2]
[2,6,3,4,1,3]=>[{5},{1},{3,6},{4},{2}]=>[5,1,3,6,4,2]
[2,6,3,4,3,1]=>[{6},{1},{3,5},{4},{2}]=>[6,1,3,5,4,2]
[2,6,4,1,3,3]=>[{4},{1},{5,6},{3},{2}]=>[4,1,5,6,3,2]
[2,6,4,3,1,3]=>[{5},{1},{4,6},{3},{2}]=>[5,1,4,6,3,2]
[2,6,4,3,3,1]=>[{6},{1},{4,5},{3},{2}]=>[6,1,4,5,3,2]
[3,1,2,3,4,6]=>[{2},{3},{1,4},{5},{6}]=>[2,3,1,4,5,6]
[3,1,2,3,6,4]=>[{2},{3},{1,4},{6},{5}]=>[2,3,1,4,6,5]
[3,1,2,4,3,6]=>[{2},{3},{1,5},{4},{6}]=>[2,3,1,5,4,6]
[3,1,2,4,6,3]=>[{2},{3},{1,6},{4},{5}]=>[2,3,1,6,4,5]
[3,1,2,6,3,4]=>[{2},{3},{1,5},{6},{4}]=>[2,3,1,5,6,4]
[3,1,2,6,4,3]=>[{2},{3},{1,6},{5},{4}]=>[2,3,1,6,5,4]
[3,1,3,2,4,6]=>[{2},{4},{1,3},{5},{6}]=>[2,4,1,3,5,6]
[3,1,3,2,6,4]=>[{2},{4},{1,3},{6},{5}]=>[2,4,1,3,6,5]
[3,1,3,4,2,6]=>[{2},{5},{1,3},{4},{6}]=>[2,5,1,3,4,6]
[3,1,3,4,6,2]=>[{2},{6},{1,3},{4},{5}]=>[2,6,1,3,4,5]
[3,1,3,6,2,4]=>[{2},{5},{1,3},{6},{4}]=>[2,5,1,3,6,4]
[3,1,3,6,4,2]=>[{2},{6},{1,3},{5},{4}]=>[2,6,1,3,5,4]
[3,1,4,2,3,6]=>[{2},{4},{1,5},{3},{6}]=>[2,4,1,5,3,6]
[3,1,4,2,6,3]=>[{2},{4},{1,6},{3},{5}]=>[2,4,1,6,3,5]
[3,1,4,3,2,6]=>[{2},{5},{1,4},{3},{6}]=>[2,5,1,4,3,6]
[3,1,4,3,6,2]=>[{2},{6},{1,4},{3},{5}]=>[2,6,1,4,3,5]
[3,1,4,6,2,3]=>[{2},{5},{1,6},{3},{4}]=>[2,5,1,6,3,4]
[3,1,4,6,3,2]=>[{2},{6},{1,5},{3},{4}]=>[2,6,1,5,3,4]
[3,1,6,2,3,4]=>[{2},{4},{1,5},{6},{3}]=>[2,4,1,5,6,3]
[3,1,6,2,4,3]=>[{2},{4},{1,6},{5},{3}]=>[2,4,1,6,5,3]
[3,1,6,3,2,4]=>[{2},{5},{1,4},{6},{3}]=>[2,5,1,4,6,3]
[3,1,6,3,4,2]=>[{2},{6},{1,4},{5},{3}]=>[2,6,1,4,5,3]
[3,1,6,4,2,3]=>[{2},{5},{1,6},{4},{3}]=>[2,5,1,6,4,3]
[3,1,6,4,3,2]=>[{2},{6},{1,5},{4},{3}]=>[2,6,1,5,4,3]
[3,2,1,3,4,6]=>[{3},{2},{1,4},{5},{6}]=>[3,2,1,4,5,6]
[3,2,1,3,6,4]=>[{3},{2},{1,4},{6},{5}]=>[3,2,1,4,6,5]
[3,2,1,4,3,6]=>[{3},{2},{1,5},{4},{6}]=>[3,2,1,5,4,6]
[3,2,1,4,6,3]=>[{3},{2},{1,6},{4},{5}]=>[3,2,1,6,4,5]
[3,2,1,6,3,4]=>[{3},{2},{1,5},{6},{4}]=>[3,2,1,5,6,4]
[3,2,1,6,4,3]=>[{3},{2},{1,6},{5},{4}]=>[3,2,1,6,5,4]
[3,2,3,1,4,6]=>[{4},{2},{1,3},{5},{6}]=>[4,2,1,3,5,6]
[3,2,3,1,6,4]=>[{4},{2},{1,3},{6},{5}]=>[4,2,1,3,6,5]
[3,2,3,4,1,6]=>[{5},{2},{1,3},{4},{6}]=>[5,2,1,3,4,6]
[3,2,3,4,6,1]=>[{6},{2},{1,3},{4},{5}]=>[6,2,1,3,4,5]
[3,2,3,6,1,4]=>[{5},{2},{1,3},{6},{4}]=>[5,2,1,3,6,4]
[3,2,3,6,4,1]=>[{6},{2},{1,3},{5},{4}]=>[6,2,1,3,5,4]
[3,2,4,1,3,6]=>[{4},{2},{1,5},{3},{6}]=>[4,2,1,5,3,6]
[3,2,4,1,6,3]=>[{4},{2},{1,6},{3},{5}]=>[4,2,1,6,3,5]
[3,2,4,3,1,6]=>[{5},{2},{1,4},{3},{6}]=>[5,2,1,4,3,6]
[3,2,4,3,6,1]=>[{6},{2},{1,4},{3},{5}]=>[6,2,1,4,3,5]
[3,2,4,6,1,3]=>[{5},{2},{1,6},{3},{4}]=>[5,2,1,6,3,4]
[3,2,4,6,3,1]=>[{6},{2},{1,5},{3},{4}]=>[6,2,1,5,3,4]
[3,2,6,1,3,4]=>[{4},{2},{1,5},{6},{3}]=>[4,2,1,5,6,3]
[3,2,6,1,4,3]=>[{4},{2},{1,6},{5},{3}]=>[4,2,1,6,5,3]
[3,2,6,3,1,4]=>[{5},{2},{1,4},{6},{3}]=>[5,2,1,4,6,3]
[3,2,6,3,4,1]=>[{6},{2},{1,4},{5},{3}]=>[6,2,1,4,5,3]
[3,2,6,4,1,3]=>[{5},{2},{1,6},{4},{3}]=>[5,2,1,6,4,3]
[3,2,6,4,3,1]=>[{6},{2},{1,5},{4},{3}]=>[6,2,1,5,4,3]
[3,3,1,2,4,6]=>[{3},{4},{1,2},{5},{6}]=>[3,4,1,2,5,6]
[3,3,1,2,6,4]=>[{3},{4},{1,2},{6},{5}]=>[3,4,1,2,6,5]
[3,3,1,4,2,6]=>[{3},{5},{1,2},{4},{6}]=>[3,5,1,2,4,6]
[3,3,1,4,6,2]=>[{3},{6},{1,2},{4},{5}]=>[3,6,1,2,4,5]
[3,3,1,6,2,4]=>[{3},{5},{1,2},{6},{4}]=>[3,5,1,2,6,4]
[3,3,1,6,4,2]=>[{3},{6},{1,2},{5},{4}]=>[3,6,1,2,5,4]
[3,3,2,1,4,6]=>[{4},{3},{1,2},{5},{6}]=>[4,3,1,2,5,6]
[3,3,2,1,6,4]=>[{4},{3},{1,2},{6},{5}]=>[4,3,1,2,6,5]
[3,3,2,4,1,6]=>[{5},{3},{1,2},{4},{6}]=>[5,3,1,2,4,6]
[3,3,2,4,6,1]=>[{6},{3},{1,2},{4},{5}]=>[6,3,1,2,4,5]
[3,3,2,6,1,4]=>[{5},{3},{1,2},{6},{4}]=>[5,3,1,2,6,4]
[3,3,2,6,4,1]=>[{6},{3},{1,2},{5},{4}]=>[6,3,1,2,5,4]
[3,3,4,1,2,6]=>[{4},{5},{1,2},{3},{6}]=>[4,5,1,2,3,6]
[3,3,4,1,6,2]=>[{4},{6},{1,2},{3},{5}]=>[4,6,1,2,3,5]
[3,3,4,2,1,6]=>[{5},{4},{1,2},{3},{6}]=>[5,4,1,2,3,6]
[3,3,4,2,6,1]=>[{6},{4},{1,2},{3},{5}]=>[6,4,1,2,3,5]
[3,3,4,6,1,2]=>[{5},{6},{1,2},{3},{4}]=>[5,6,1,2,3,4]
[3,3,4,6,2,1]=>[{6},{5},{1,2},{3},{4}]=>[6,5,1,2,3,4]
[3,3,6,1,2,4]=>[{4},{5},{1,2},{6},{3}]=>[4,5,1,2,6,3]
[3,3,6,1,4,2]=>[{4},{6},{1,2},{5},{3}]=>[4,6,1,2,5,3]
[3,3,6,2,1,4]=>[{5},{4},{1,2},{6},{3}]=>[5,4,1,2,6,3]
[3,3,6,2,4,1]=>[{6},{4},{1,2},{5},{3}]=>[6,4,1,2,5,3]
[3,3,6,4,1,2]=>[{5},{6},{1,2},{4},{3}]=>[5,6,1,2,4,3]
[3,3,6,4,2,1]=>[{6},{5},{1,2},{4},{3}]=>[6,5,1,2,4,3]
[3,4,1,2,3,6]=>[{3},{4},{1,5},{2},{6}]=>[3,4,1,5,2,6]
[3,4,1,2,6,3]=>[{3},{4},{1,6},{2},{5}]=>[3,4,1,6,2,5]
[3,4,1,3,2,6]=>[{3},{5},{1,4},{2},{6}]=>[3,5,1,4,2,6]
[3,4,1,3,6,2]=>[{3},{6},{1,4},{2},{5}]=>[3,6,1,4,2,5]
[3,4,1,6,2,3]=>[{3},{5},{1,6},{2},{4}]=>[3,5,1,6,2,4]
[3,4,1,6,3,2]=>[{3},{6},{1,5},{2},{4}]=>[3,6,1,5,2,4]
[3,4,2,1,3,6]=>[{4},{3},{1,5},{2},{6}]=>[4,3,1,5,2,6]
[3,4,2,1,6,3]=>[{4},{3},{1,6},{2},{5}]=>[4,3,1,6,2,5]
[3,4,2,3,1,6]=>[{5},{3},{1,4},{2},{6}]=>[5,3,1,4,2,6]
[3,4,2,3,6,1]=>[{6},{3},{1,4},{2},{5}]=>[6,3,1,4,2,5]
[3,4,2,6,1,3]=>[{5},{3},{1,6},{2},{4}]=>[5,3,1,6,2,4]
[3,4,2,6,3,1]=>[{6},{3},{1,5},{2},{4}]=>[6,3,1,5,2,4]
[3,4,3,1,2,6]=>[{4},{5},{1,3},{2},{6}]=>[4,5,1,3,2,6]
[3,4,3,1,6,2]=>[{4},{6},{1,3},{2},{5}]=>[4,6,1,3,2,5]
[3,4,3,2,1,6]=>[{5},{4},{1,3},{2},{6}]=>[5,4,1,3,2,6]
[3,4,3,2,6,1]=>[{6},{4},{1,3},{2},{5}]=>[6,4,1,3,2,5]
[3,4,3,6,1,2]=>[{5},{6},{1,3},{2},{4}]=>[5,6,1,3,2,4]
[3,4,3,6,2,1]=>[{6},{5},{1,3},{2},{4}]=>[6,5,1,3,2,4]
[3,4,6,1,2,3]=>[{4},{5},{1,6},{2},{3}]=>[4,5,1,6,2,3]
[3,4,6,1,3,2]=>[{4},{6},{1,5},{2},{3}]=>[4,6,1,5,2,3]
[3,4,6,2,1,3]=>[{5},{4},{1,6},{2},{3}]=>[5,4,1,6,2,3]
[3,4,6,2,3,1]=>[{6},{4},{1,5},{2},{3}]=>[6,4,1,5,2,3]
[3,4,6,3,1,2]=>[{5},{6},{1,4},{2},{3}]=>[5,6,1,4,2,3]
[3,4,6,3,2,1]=>[{6},{5},{1,4},{2},{3}]=>[6,5,1,4,2,3]
[3,6,1,2,3,4]=>[{3},{4},{1,5},{6},{2}]=>[3,4,1,5,6,2]
[3,6,1,2,4,3]=>[{3},{4},{1,6},{5},{2}]=>[3,4,1,6,5,2]
[3,6,1,3,2,4]=>[{3},{5},{1,4},{6},{2}]=>[3,5,1,4,6,2]
[3,6,1,3,4,2]=>[{3},{6},{1,4},{5},{2}]=>[3,6,1,4,5,2]
[3,6,1,4,2,3]=>[{3},{5},{1,6},{4},{2}]=>[3,5,1,6,4,2]
[3,6,1,4,3,2]=>[{3},{6},{1,5},{4},{2}]=>[3,6,1,5,4,2]
[3,6,2,1,3,4]=>[{4},{3},{1,5},{6},{2}]=>[4,3,1,5,6,2]
[3,6,2,1,4,3]=>[{4},{3},{1,6},{5},{2}]=>[4,3,1,6,5,2]
[3,6,2,3,1,4]=>[{5},{3},{1,4},{6},{2}]=>[5,3,1,4,6,2]
[3,6,2,3,4,1]=>[{6},{3},{1,4},{5},{2}]=>[6,3,1,4,5,2]
[3,6,2,4,1,3]=>[{5},{3},{1,6},{4},{2}]=>[5,3,1,6,4,2]
[3,6,2,4,3,1]=>[{6},{3},{1,5},{4},{2}]=>[6,3,1,5,4,2]
[3,6,3,1,2,4]=>[{4},{5},{1,3},{6},{2}]=>[4,5,1,3,6,2]
[3,6,3,1,4,2]=>[{4},{6},{1,3},{5},{2}]=>[4,6,1,3,5,2]
[3,6,3,2,1,4]=>[{5},{4},{1,3},{6},{2}]=>[5,4,1,3,6,2]
[3,6,3,2,4,1]=>[{6},{4},{1,3},{5},{2}]=>[6,4,1,3,5,2]
[3,6,3,4,1,2]=>[{5},{6},{1,3},{4},{2}]=>[5,6,1,3,4,2]
[3,6,3,4,2,1]=>[{6},{5},{1,3},{4},{2}]=>[6,5,1,3,4,2]
[3,6,4,1,2,3]=>[{4},{5},{1,6},{3},{2}]=>[4,5,1,6,3,2]
[3,6,4,1,3,2]=>[{4},{6},{1,5},{3},{2}]=>[4,6,1,5,3,2]
[3,6,4,2,1,3]=>[{5},{4},{1,6},{3},{2}]=>[5,4,1,6,3,2]
[3,6,4,2,3,1]=>[{6},{4},{1,5},{3},{2}]=>[6,4,1,5,3,2]
[3,6,4,3,1,2]=>[{5},{6},{1,4},{3},{2}]=>[5,6,1,4,3,2]
[3,6,4,3,2,1]=>[{6},{5},{1,4},{3},{2}]=>[6,5,1,4,3,2]
[4,1,2,3,3,6]=>[{2},{3},{4,5},{1},{6}]=>[2,3,4,5,1,6]
[4,1,2,3,6,3]=>[{2},{3},{4,6},{1},{5}]=>[2,3,4,6,1,5]
[4,1,2,6,3,3]=>[{2},{3},{5,6},{1},{4}]=>[2,3,5,6,1,4]
[4,1,3,2,3,6]=>[{2},{4},{3,5},{1},{6}]=>[2,4,3,5,1,6]
[4,1,3,2,6,3]=>[{2},{4},{3,6},{1},{5}]=>[2,4,3,6,1,5]
[4,1,3,3,2,6]=>[{2},{5},{3,4},{1},{6}]=>[2,5,3,4,1,6]
[4,1,3,3,6,2]=>[{2},{6},{3,4},{1},{5}]=>[2,6,3,4,1,5]
[4,1,3,6,2,3]=>[{2},{5},{3,6},{1},{4}]=>[2,5,3,6,1,4]
[4,1,3,6,3,2]=>[{2},{6},{3,5},{1},{4}]=>[2,6,3,5,1,4]
[4,1,6,2,3,3]=>[{2},{4},{5,6},{1},{3}]=>[2,4,5,6,1,3]
[4,1,6,3,2,3]=>[{2},{5},{4,6},{1},{3}]=>[2,5,4,6,1,3]
[4,1,6,3,3,2]=>[{2},{6},{4,5},{1},{3}]=>[2,6,4,5,1,3]
[4,2,1,3,3,6]=>[{3},{2},{4,5},{1},{6}]=>[3,2,4,5,1,6]
[4,2,1,3,6,3]=>[{3},{2},{4,6},{1},{5}]=>[3,2,4,6,1,5]
[4,2,1,6,3,3]=>[{3},{2},{5,6},{1},{4}]=>[3,2,5,6,1,4]
[4,2,3,1,3,6]=>[{4},{2},{3,5},{1},{6}]=>[4,2,3,5,1,6]
[4,2,3,1,6,3]=>[{4},{2},{3,6},{1},{5}]=>[4,2,3,6,1,5]
[4,2,3,3,1,6]=>[{5},{2},{3,4},{1},{6}]=>[5,2,3,4,1,6]
[4,2,3,3,6,1]=>[{6},{2},{3,4},{1},{5}]=>[6,2,3,4,1,5]
[4,2,3,6,1,3]=>[{5},{2},{3,6},{1},{4}]=>[5,2,3,6,1,4]
[4,2,3,6,3,1]=>[{6},{2},{3,5},{1},{4}]=>[6,2,3,5,1,4]
[4,2,6,1,3,3]=>[{4},{2},{5,6},{1},{3}]=>[4,2,5,6,1,3]
[4,2,6,3,1,3]=>[{5},{2},{4,6},{1},{3}]=>[5,2,4,6,1,3]
[4,2,6,3,3,1]=>[{6},{2},{4,5},{1},{3}]=>[6,2,4,5,1,3]
[4,3,1,2,3,6]=>[{3},{4},{2,5},{1},{6}]=>[3,4,2,5,1,6]
[4,3,1,2,6,3]=>[{3},{4},{2,6},{1},{5}]=>[3,4,2,6,1,5]
[4,3,1,3,2,6]=>[{3},{5},{2,4},{1},{6}]=>[3,5,2,4,1,6]
[4,3,1,3,6,2]=>[{3},{6},{2,4},{1},{5}]=>[3,6,2,4,1,5]
[4,3,1,6,2,3]=>[{3},{5},{2,6},{1},{4}]=>[3,5,2,6,1,4]
[4,3,1,6,3,2]=>[{3},{6},{2,5},{1},{4}]=>[3,6,2,5,1,4]
[4,3,2,1,3,6]=>[{4},{3},{2,5},{1},{6}]=>[4,3,2,5,1,6]
[4,3,2,1,6,3]=>[{4},{3},{2,6},{1},{5}]=>[4,3,2,6,1,5]
[4,3,2,3,1,6]=>[{5},{3},{2,4},{1},{6}]=>[5,3,2,4,1,6]
[4,3,2,3,6,1]=>[{6},{3},{2,4},{1},{5}]=>[6,3,2,4,1,5]
[4,3,2,6,1,3]=>[{5},{3},{2,6},{1},{4}]=>[5,3,2,6,1,4]
[4,3,2,6,3,1]=>[{6},{3},{2,5},{1},{4}]=>[6,3,2,5,1,4]
[4,3,3,1,2,6]=>[{4},{5},{2,3},{1},{6}]=>[4,5,2,3,1,6]
[4,3,3,1,6,2]=>[{4},{6},{2,3},{1},{5}]=>[4,6,2,3,1,5]
[4,3,3,2,1,6]=>[{5},{4},{2,3},{1},{6}]=>[5,4,2,3,1,6]
[4,3,3,2,6,1]=>[{6},{4},{2,3},{1},{5}]=>[6,4,2,3,1,5]
[4,3,3,6,1,2]=>[{5},{6},{2,3},{1},{4}]=>[5,6,2,3,1,4]
[4,3,3,6,2,1]=>[{6},{5},{2,3},{1},{4}]=>[6,5,2,3,1,4]
[4,3,6,1,2,3]=>[{4},{5},{2,6},{1},{3}]=>[4,5,2,6,1,3]
[4,3,6,1,3,2]=>[{4},{6},{2,5},{1},{3}]=>[4,6,2,5,1,3]
[4,3,6,2,1,3]=>[{5},{4},{2,6},{1},{3}]=>[5,4,2,6,1,3]
[4,3,6,2,3,1]=>[{6},{4},{2,5},{1},{3}]=>[6,4,2,5,1,3]
[4,3,6,3,1,2]=>[{5},{6},{2,4},{1},{3}]=>[5,6,2,4,1,3]
[4,3,6,3,2,1]=>[{6},{5},{2,4},{1},{3}]=>[6,5,2,4,1,3]
[4,6,1,2,3,3]=>[{3},{4},{5,6},{1},{2}]=>[3,4,5,6,1,2]
[4,6,1,3,2,3]=>[{3},{5},{4,6},{1},{2}]=>[3,5,4,6,1,2]
[4,6,1,3,3,2]=>[{3},{6},{4,5},{1},{2}]=>[3,6,4,5,1,2]
[4,6,2,1,3,3]=>[{4},{3},{5,6},{1},{2}]=>[4,3,5,6,1,2]
[4,6,2,3,1,3]=>[{5},{3},{4,6},{1},{2}]=>[5,3,4,6,1,2]
[4,6,2,3,3,1]=>[{6},{3},{4,5},{1},{2}]=>[6,3,4,5,1,2]
[4,6,3,1,2,3]=>[{4},{5},{3,6},{1},{2}]=>[4,5,3,6,1,2]
[4,6,3,1,3,2]=>[{4},{6},{3,5},{1},{2}]=>[4,6,3,5,1,2]
[4,6,3,2,1,3]=>[{5},{4},{3,6},{1},{2}]=>[5,4,3,6,1,2]
[4,6,3,2,3,1]=>[{6},{4},{3,5},{1},{2}]=>[6,4,3,5,1,2]
[4,6,3,3,1,2]=>[{5},{6},{3,4},{1},{2}]=>[5,6,3,4,1,2]
[4,6,3,3,2,1]=>[{6},{5},{3,4},{1},{2}]=>[6,5,3,4,1,2]
[6,1,2,3,3,4]=>[{2},{3},{4,5},{6},{1}]=>[2,3,4,5,6,1]
[6,1,2,3,4,3]=>[{2},{3},{4,6},{5},{1}]=>[2,3,4,6,5,1]
[6,1,2,4,3,3]=>[{2},{3},{5,6},{4},{1}]=>[2,3,5,6,4,1]
[6,1,3,2,3,4]=>[{2},{4},{3,5},{6},{1}]=>[2,4,3,5,6,1]
[6,1,3,2,4,3]=>[{2},{4},{3,6},{5},{1}]=>[2,4,3,6,5,1]
[6,1,3,3,2,4]=>[{2},{5},{3,4},{6},{1}]=>[2,5,3,4,6,1]
[6,1,3,3,4,2]=>[{2},{6},{3,4},{5},{1}]=>[2,6,3,4,5,1]
[6,1,3,4,2,3]=>[{2},{5},{3,6},{4},{1}]=>[2,5,3,6,4,1]
[6,1,3,4,3,2]=>[{2},{6},{3,5},{4},{1}]=>[2,6,3,5,4,1]
[6,1,4,2,3,3]=>[{2},{4},{5,6},{3},{1}]=>[2,4,5,6,3,1]
[6,1,4,3,2,3]=>[{2},{5},{4,6},{3},{1}]=>[2,5,4,6,3,1]
[6,1,4,3,3,2]=>[{2},{6},{4,5},{3},{1}]=>[2,6,4,5,3,1]
[6,2,1,3,3,4]=>[{3},{2},{4,5},{6},{1}]=>[3,2,4,5,6,1]
[6,2,1,3,4,3]=>[{3},{2},{4,6},{5},{1}]=>[3,2,4,6,5,1]
[6,2,1,4,3,3]=>[{3},{2},{5,6},{4},{1}]=>[3,2,5,6,4,1]
[6,2,3,1,3,4]=>[{4},{2},{3,5},{6},{1}]=>[4,2,3,5,6,1]
[6,2,3,1,4,3]=>[{4},{2},{3,6},{5},{1}]=>[4,2,3,6,5,1]
[6,2,3,3,1,4]=>[{5},{2},{3,4},{6},{1}]=>[5,2,3,4,6,1]
[6,2,3,3,4,1]=>[{6},{2},{3,4},{5},{1}]=>[6,2,3,4,5,1]
[6,2,3,4,1,3]=>[{5},{2},{3,6},{4},{1}]=>[5,2,3,6,4,1]
[6,2,3,4,3,1]=>[{6},{2},{3,5},{4},{1}]=>[6,2,3,5,4,1]
[6,2,4,1,3,3]=>[{4},{2},{5,6},{3},{1}]=>[4,2,5,6,3,1]
[6,2,4,3,1,3]=>[{5},{2},{4,6},{3},{1}]=>[5,2,4,6,3,1]
[6,2,4,3,3,1]=>[{6},{2},{4,5},{3},{1}]=>[6,2,4,5,3,1]
[6,3,1,2,3,4]=>[{3},{4},{2,5},{6},{1}]=>[3,4,2,5,6,1]
[6,3,1,2,4,3]=>[{3},{4},{2,6},{5},{1}]=>[3,4,2,6,5,1]
[6,3,1,3,2,4]=>[{3},{5},{2,4},{6},{1}]=>[3,5,2,4,6,1]
[6,3,1,3,4,2]=>[{3},{6},{2,4},{5},{1}]=>[3,6,2,4,5,1]
[6,3,1,4,2,3]=>[{3},{5},{2,6},{4},{1}]=>[3,5,2,6,4,1]
[6,3,1,4,3,2]=>[{3},{6},{2,5},{4},{1}]=>[3,6,2,5,4,1]
[6,3,2,1,3,4]=>[{4},{3},{2,5},{6},{1}]=>[4,3,2,5,6,1]
[6,3,2,1,4,3]=>[{4},{3},{2,6},{5},{1}]=>[4,3,2,6,5,1]
[6,3,2,3,1,4]=>[{5},{3},{2,4},{6},{1}]=>[5,3,2,4,6,1]
[6,3,2,3,4,1]=>[{6},{3},{2,4},{5},{1}]=>[6,3,2,4,5,1]
[6,3,2,4,1,3]=>[{5},{3},{2,6},{4},{1}]=>[5,3,2,6,4,1]
[6,3,2,4,3,1]=>[{6},{3},{2,5},{4},{1}]=>[6,3,2,5,4,1]
[6,3,3,1,2,4]=>[{4},{5},{2,3},{6},{1}]=>[4,5,2,3,6,1]
[6,3,3,1,4,2]=>[{4},{6},{2,3},{5},{1}]=>[4,6,2,3,5,1]
[6,3,3,2,1,4]=>[{5},{4},{2,3},{6},{1}]=>[5,4,2,3,6,1]
[6,3,3,2,4,1]=>[{6},{4},{2,3},{5},{1}]=>[6,4,2,3,5,1]
[6,3,3,4,1,2]=>[{5},{6},{2,3},{4},{1}]=>[5,6,2,3,4,1]
[6,3,3,4,2,1]=>[{6},{5},{2,3},{4},{1}]=>[6,5,2,3,4,1]
[6,3,4,1,2,3]=>[{4},{5},{2,6},{3},{1}]=>[4,5,2,6,3,1]
[6,3,4,1,3,2]=>[{4},{6},{2,5},{3},{1}]=>[4,6,2,5,3,1]
[6,3,4,2,1,3]=>[{5},{4},{2,6},{3},{1}]=>[5,4,2,6,3,1]
[6,3,4,2,3,1]=>[{6},{4},{2,5},{3},{1}]=>[6,4,2,5,3,1]
[6,3,4,3,1,2]=>[{5},{6},{2,4},{3},{1}]=>[5,6,2,4,3,1]
[6,3,4,3,2,1]=>[{6},{5},{2,4},{3},{1}]=>[6,5,2,4,3,1]
[6,4,1,2,3,3]=>[{3},{4},{5,6},{2},{1}]=>[3,4,5,6,2,1]
[6,4,1,3,2,3]=>[{3},{5},{4,6},{2},{1}]=>[3,5,4,6,2,1]
[6,4,1,3,3,2]=>[{3},{6},{4,5},{2},{1}]=>[3,6,4,5,2,1]
[6,4,2,1,3,3]=>[{4},{3},{5,6},{2},{1}]=>[4,3,5,6,2,1]
[6,4,2,3,1,3]=>[{5},{3},{4,6},{2},{1}]=>[5,3,4,6,2,1]
[6,4,2,3,3,1]=>[{6},{3},{4,5},{2},{1}]=>[6,3,4,5,2,1]
[6,4,3,1,2,3]=>[{4},{5},{3,6},{2},{1}]=>[4,5,3,6,2,1]
[6,4,3,1,3,2]=>[{4},{6},{3,5},{2},{1}]=>[4,6,3,5,2,1]
[6,4,3,2,1,3]=>[{5},{4},{3,6},{2},{1}]=>[5,4,3,6,2,1]
[6,4,3,2,3,1]=>[{6},{4},{3,5},{2},{1}]=>[6,4,3,5,2,1]
[6,4,3,3,1,2]=>[{5},{6},{3,4},{2},{1}]=>[5,6,3,4,2,1]
[6,4,3,3,2,1]=>[{6},{5},{3,4},{2},{1}]=>[6,5,3,4,2,1]
[1,2,3,3,5,5]=>[{1},{2},{3,4},{5,6}]=>[1,2,3,4,5,6]
[1,2,3,5,3,5]=>[{1},{2},{3,5},{4,6}]=>[1,2,3,5,4,6]
[1,2,3,5,5,3]=>[{1},{2},{3,6},{4,5}]=>[1,2,3,6,4,5]
[1,2,5,3,3,5]=>[{1},{2},{4,5},{3,6}]=>[1,2,4,5,3,6]
[1,2,5,3,5,3]=>[{1},{2},{4,6},{3,5}]=>[1,2,4,6,3,5]
[1,2,5,5,3,3]=>[{1},{2},{5,6},{3,4}]=>[1,2,5,6,3,4]
[1,3,2,3,5,5]=>[{1},{3},{2,4},{5,6}]=>[1,3,2,4,5,6]
[1,3,2,5,3,5]=>[{1},{3},{2,5},{4,6}]=>[1,3,2,5,4,6]
[1,3,2,5,5,3]=>[{1},{3},{2,6},{4,5}]=>[1,3,2,6,4,5]
[1,3,3,2,5,5]=>[{1},{4},{2,3},{5,6}]=>[1,4,2,3,5,6]
[1,3,3,5,2,5]=>[{1},{5},{2,3},{4,6}]=>[1,5,2,3,4,6]
[1,3,3,5,5,2]=>[{1},{6},{2,3},{4,5}]=>[1,6,2,3,4,5]
[1,3,5,2,3,5]=>[{1},{4},{2,5},{3,6}]=>[1,4,2,5,3,6]
[1,3,5,2,5,3]=>[{1},{4},{2,6},{3,5}]=>[1,4,2,6,3,5]
[1,3,5,3,2,5]=>[{1},{5},{2,4},{3,6}]=>[1,5,2,4,3,6]
[1,3,5,3,5,2]=>[{1},{6},{2,4},{3,5}]=>[1,6,2,4,3,5]
[1,3,5,5,2,3]=>[{1},{5},{2,6},{3,4}]=>[1,5,2,6,3,4]
[1,3,5,5,3,2]=>[{1},{6},{2,5},{3,4}]=>[1,6,2,5,3,4]
[1,5,2,3,3,5]=>[{1},{3},{4,5},{2,6}]=>[1,3,4,5,2,6]
[1,5,2,3,5,3]=>[{1},{3},{4,6},{2,5}]=>[1,3,4,6,2,5]
[1,5,2,5,3,3]=>[{1},{3},{5,6},{2,4}]=>[1,3,5,6,2,4]
[1,5,3,2,3,5]=>[{1},{4},{3,5},{2,6}]=>[1,4,3,5,2,6]
[1,5,3,2,5,3]=>[{1},{4},{3,6},{2,5}]=>[1,4,3,6,2,5]
[1,5,3,3,2,5]=>[{1},{5},{3,4},{2,6}]=>[1,5,3,4,2,6]
[1,5,3,3,5,2]=>[{1},{6},{3,4},{2,5}]=>[1,6,3,4,2,5]
[1,5,3,5,2,3]=>[{1},{5},{3,6},{2,4}]=>[1,5,3,6,2,4]
[1,5,3,5,3,2]=>[{1},{6},{3,5},{2,4}]=>[1,6,3,5,2,4]
[1,5,5,2,3,3]=>[{1},{4},{5,6},{2,3}]=>[1,4,5,6,2,3]
[1,5,5,3,2,3]=>[{1},{5},{4,6},{2,3}]=>[1,5,4,6,2,3]
[1,5,5,3,3,2]=>[{1},{6},{4,5},{2,3}]=>[1,6,4,5,2,3]
[2,1,3,3,5,5]=>[{2},{1},{3,4},{5,6}]=>[2,1,3,4,5,6]
[2,1,3,5,3,5]=>[{2},{1},{3,5},{4,6}]=>[2,1,3,5,4,6]
[2,1,3,5,5,3]=>[{2},{1},{3,6},{4,5}]=>[2,1,3,6,4,5]
[2,1,5,3,3,5]=>[{2},{1},{4,5},{3,6}]=>[2,1,4,5,3,6]
[2,1,5,3,5,3]=>[{2},{1},{4,6},{3,5}]=>[2,1,4,6,3,5]
[2,1,5,5,3,3]=>[{2},{1},{5,6},{3,4}]=>[2,1,5,6,3,4]
[2,3,1,3,5,5]=>[{3},{1},{2,4},{5,6}]=>[3,1,2,4,5,6]
[2,3,1,5,3,5]=>[{3},{1},{2,5},{4,6}]=>[3,1,2,5,4,6]
[2,3,1,5,5,3]=>[{3},{1},{2,6},{4,5}]=>[3,1,2,6,4,5]
[2,3,3,1,5,5]=>[{4},{1},{2,3},{5,6}]=>[4,1,2,3,5,6]
[2,3,3,5,1,5]=>[{5},{1},{2,3},{4,6}]=>[5,1,2,3,4,6]
[2,3,3,5,5,1]=>[{6},{1},{2,3},{4,5}]=>[6,1,2,3,4,5]
[2,3,5,1,3,5]=>[{4},{1},{2,5},{3,6}]=>[4,1,2,5,3,6]
[2,3,5,1,5,3]=>[{4},{1},{2,6},{3,5}]=>[4,1,2,6,3,5]
[2,3,5,3,1,5]=>[{5},{1},{2,4},{3,6}]=>[5,1,2,4,3,6]
[2,3,5,3,5,1]=>[{6},{1},{2,4},{3,5}]=>[6,1,2,4,3,5]
[2,3,5,5,1,3]=>[{5},{1},{2,6},{3,4}]=>[5,1,2,6,3,4]
[2,3,5,5,3,1]=>[{6},{1},{2,5},{3,4}]=>[6,1,2,5,3,4]
[2,5,1,3,3,5]=>[{3},{1},{4,5},{2,6}]=>[3,1,4,5,2,6]
[2,5,1,3,5,3]=>[{3},{1},{4,6},{2,5}]=>[3,1,4,6,2,5]
[2,5,1,5,3,3]=>[{3},{1},{5,6},{2,4}]=>[3,1,5,6,2,4]
[2,5,3,1,3,5]=>[{4},{1},{3,5},{2,6}]=>[4,1,3,5,2,6]
[2,5,3,1,5,3]=>[{4},{1},{3,6},{2,5}]=>[4,1,3,6,2,5]
[2,5,3,3,1,5]=>[{5},{1},{3,4},{2,6}]=>[5,1,3,4,2,6]
[2,5,3,3,5,1]=>[{6},{1},{3,4},{2,5}]=>[6,1,3,4,2,5]
[2,5,3,5,1,3]=>[{5},{1},{3,6},{2,4}]=>[5,1,3,6,2,4]
[2,5,3,5,3,1]=>[{6},{1},{3,5},{2,4}]=>[6,1,3,5,2,4]
[2,5,5,1,3,3]=>[{4},{1},{5,6},{2,3}]=>[4,1,5,6,2,3]
[2,5,5,3,1,3]=>[{5},{1},{4,6},{2,3}]=>[5,1,4,6,2,3]
[2,5,5,3,3,1]=>[{6},{1},{4,5},{2,3}]=>[6,1,4,5,2,3]
[3,1,2,3,5,5]=>[{2},{3},{1,4},{5,6}]=>[2,3,1,4,5,6]
[3,1,2,5,3,5]=>[{2},{3},{1,5},{4,6}]=>[2,3,1,5,4,6]
[3,1,2,5,5,3]=>[{2},{3},{1,6},{4,5}]=>[2,3,1,6,4,5]
[3,1,3,2,5,5]=>[{2},{4},{1,3},{5,6}]=>[2,4,1,3,5,6]
[3,1,3,5,2,5]=>[{2},{5},{1,3},{4,6}]=>[2,5,1,3,4,6]
[3,1,3,5,5,2]=>[{2},{6},{1,3},{4,5}]=>[2,6,1,3,4,5]
[3,1,5,2,3,5]=>[{2},{4},{1,5},{3,6}]=>[2,4,1,5,3,6]
[3,1,5,2,5,3]=>[{2},{4},{1,6},{3,5}]=>[2,4,1,6,3,5]
[3,1,5,3,2,5]=>[{2},{5},{1,4},{3,6}]=>[2,5,1,4,3,6]
[3,1,5,3,5,2]=>[{2},{6},{1,4},{3,5}]=>[2,6,1,4,3,5]
[3,1,5,5,2,3]=>[{2},{5},{1,6},{3,4}]=>[2,5,1,6,3,4]
[3,1,5,5,3,2]=>[{2},{6},{1,5},{3,4}]=>[2,6,1,5,3,4]
[3,2,1,3,5,5]=>[{3},{2},{1,4},{5,6}]=>[3,2,1,4,5,6]
[3,2,1,5,3,5]=>[{3},{2},{1,5},{4,6}]=>[3,2,1,5,4,6]
[3,2,1,5,5,3]=>[{3},{2},{1,6},{4,5}]=>[3,2,1,6,4,5]
[3,2,3,1,5,5]=>[{4},{2},{1,3},{5,6}]=>[4,2,1,3,5,6]
[3,2,3,5,1,5]=>[{5},{2},{1,3},{4,6}]=>[5,2,1,3,4,6]
[3,2,3,5,5,1]=>[{6},{2},{1,3},{4,5}]=>[6,2,1,3,4,5]
[3,2,5,1,3,5]=>[{4},{2},{1,5},{3,6}]=>[4,2,1,5,3,6]
[3,2,5,1,5,3]=>[{4},{2},{1,6},{3,5}]=>[4,2,1,6,3,5]
[3,2,5,3,1,5]=>[{5},{2},{1,4},{3,6}]=>[5,2,1,4,3,6]
[3,2,5,3,5,1]=>[{6},{2},{1,4},{3,5}]=>[6,2,1,4,3,5]
[3,2,5,5,1,3]=>[{5},{2},{1,6},{3,4}]=>[5,2,1,6,3,4]
[3,2,5,5,3,1]=>[{6},{2},{1,5},{3,4}]=>[6,2,1,5,3,4]
[3,3,1,2,5,5]=>[{3},{4},{1,2},{5,6}]=>[3,4,1,2,5,6]
[3,3,1,5,2,5]=>[{3},{5},{1,2},{4,6}]=>[3,5,1,2,4,6]
[3,3,1,5,5,2]=>[{3},{6},{1,2},{4,5}]=>[3,6,1,2,4,5]
[3,3,2,1,5,5]=>[{4},{3},{1,2},{5,6}]=>[4,3,1,2,5,6]
[3,3,2,5,1,5]=>[{5},{3},{1,2},{4,6}]=>[5,3,1,2,4,6]
[3,3,2,5,5,1]=>[{6},{3},{1,2},{4,5}]=>[6,3,1,2,4,5]
[3,3,5,1,2,5]=>[{4},{5},{1,2},{3,6}]=>[4,5,1,2,3,6]
[3,3,5,1,5,2]=>[{4},{6},{1,2},{3,5}]=>[4,6,1,2,3,5]
[3,3,5,2,1,5]=>[{5},{4},{1,2},{3,6}]=>[5,4,1,2,3,6]
[3,3,5,2,5,1]=>[{6},{4},{1,2},{3,5}]=>[6,4,1,2,3,5]
[3,3,5,5,1,2]=>[{5},{6},{1,2},{3,4}]=>[5,6,1,2,3,4]
[3,3,5,5,2,1]=>[{6},{5},{1,2},{3,4}]=>[6,5,1,2,3,4]
[3,5,1,2,3,5]=>[{3},{4},{1,5},{2,6}]=>[3,4,1,5,2,6]
[3,5,1,2,5,3]=>[{3},{4},{1,6},{2,5}]=>[3,4,1,6,2,5]
[3,5,1,3,2,5]=>[{3},{5},{1,4},{2,6}]=>[3,5,1,4,2,6]
[3,5,1,3,5,2]=>[{3},{6},{1,4},{2,5}]=>[3,6,1,4,2,5]
[3,5,1,5,2,3]=>[{3},{5},{1,6},{2,4}]=>[3,5,1,6,2,4]
[3,5,1,5,3,2]=>[{3},{6},{1,5},{2,4}]=>[3,6,1,5,2,4]
[3,5,2,1,3,5]=>[{4},{3},{1,5},{2,6}]=>[4,3,1,5,2,6]
[3,5,2,1,5,3]=>[{4},{3},{1,6},{2,5}]=>[4,3,1,6,2,5]
[3,5,2,3,1,5]=>[{5},{3},{1,4},{2,6}]=>[5,3,1,4,2,6]
[3,5,2,3,5,1]=>[{6},{3},{1,4},{2,5}]=>[6,3,1,4,2,5]
[3,5,2,5,1,3]=>[{5},{3},{1,6},{2,4}]=>[5,3,1,6,2,4]
[3,5,2,5,3,1]=>[{6},{3},{1,5},{2,4}]=>[6,3,1,5,2,4]
[3,5,3,1,2,5]=>[{4},{5},{1,3},{2,6}]=>[4,5,1,3,2,6]
[3,5,3,1,5,2]=>[{4},{6},{1,3},{2,5}]=>[4,6,1,3,2,5]
[3,5,3,2,1,5]=>[{5},{4},{1,3},{2,6}]=>[5,4,1,3,2,6]
[3,5,3,2,5,1]=>[{6},{4},{1,3},{2,5}]=>[6,4,1,3,2,5]
[3,5,3,5,1,2]=>[{5},{6},{1,3},{2,4}]=>[5,6,1,3,2,4]
[3,5,3,5,2,1]=>[{6},{5},{1,3},{2,4}]=>[6,5,1,3,2,4]
[3,5,5,1,2,3]=>[{4},{5},{1,6},{2,3}]=>[4,5,1,6,2,3]
[3,5,5,1,3,2]=>[{4},{6},{1,5},{2,3}]=>[4,6,1,5,2,3]
[3,5,5,2,1,3]=>[{5},{4},{1,6},{2,3}]=>[5,4,1,6,2,3]
[3,5,5,2,3,1]=>[{6},{4},{1,5},{2,3}]=>[6,4,1,5,2,3]
[3,5,5,3,1,2]=>[{5},{6},{1,4},{2,3}]=>[5,6,1,4,2,3]
[3,5,5,3,2,1]=>[{6},{5},{1,4},{2,3}]=>[6,5,1,4,2,3]
[5,1,2,3,3,5]=>[{2},{3},{4,5},{1,6}]=>[2,3,4,5,1,6]
[5,1,2,3,5,3]=>[{2},{3},{4,6},{1,5}]=>[2,3,4,6,1,5]
[5,1,2,5,3,3]=>[{2},{3},{5,6},{1,4}]=>[2,3,5,6,1,4]
[5,1,3,2,3,5]=>[{2},{4},{3,5},{1,6}]=>[2,4,3,5,1,6]
[5,1,3,2,5,3]=>[{2},{4},{3,6},{1,5}]=>[2,4,3,6,1,5]
[5,1,3,3,2,5]=>[{2},{5},{3,4},{1,6}]=>[2,5,3,4,1,6]
[5,1,3,3,5,2]=>[{2},{6},{3,4},{1,5}]=>[2,6,3,4,1,5]
[5,1,3,5,2,3]=>[{2},{5},{3,6},{1,4}]=>[2,5,3,6,1,4]
[5,1,3,5,3,2]=>[{2},{6},{3,5},{1,4}]=>[2,6,3,5,1,4]
[5,1,5,2,3,3]=>[{2},{4},{5,6},{1,3}]=>[2,4,5,6,1,3]
[5,1,5,3,2,3]=>[{2},{5},{4,6},{1,3}]=>[2,5,4,6,1,3]
[5,1,5,3,3,2]=>[{2},{6},{4,5},{1,3}]=>[2,6,4,5,1,3]
[5,2,1,3,3,5]=>[{3},{2},{4,5},{1,6}]=>[3,2,4,5,1,6]
[5,2,1,3,5,3]=>[{3},{2},{4,6},{1,5}]=>[3,2,4,6,1,5]
[5,2,1,5,3,3]=>[{3},{2},{5,6},{1,4}]=>[3,2,5,6,1,4]
[5,2,3,1,3,5]=>[{4},{2},{3,5},{1,6}]=>[4,2,3,5,1,6]
[5,2,3,1,5,3]=>[{4},{2},{3,6},{1,5}]=>[4,2,3,6,1,5]
[5,2,3,3,1,5]=>[{5},{2},{3,4},{1,6}]=>[5,2,3,4,1,6]
[5,2,3,3,5,1]=>[{6},{2},{3,4},{1,5}]=>[6,2,3,4,1,5]
[5,2,3,5,1,3]=>[{5},{2},{3,6},{1,4}]=>[5,2,3,6,1,4]
[5,2,3,5,3,1]=>[{6},{2},{3,5},{1,4}]=>[6,2,3,5,1,4]
[5,2,5,1,3,3]=>[{4},{2},{5,6},{1,3}]=>[4,2,5,6,1,3]
[5,2,5,3,1,3]=>[{5},{2},{4,6},{1,3}]=>[5,2,4,6,1,3]
[5,2,5,3,3,1]=>[{6},{2},{4,5},{1,3}]=>[6,2,4,5,1,3]
[5,3,1,2,3,5]=>[{3},{4},{2,5},{1,6}]=>[3,4,2,5,1,6]
[5,3,1,2,5,3]=>[{3},{4},{2,6},{1,5}]=>[3,4,2,6,1,5]
[5,3,1,3,2,5]=>[{3},{5},{2,4},{1,6}]=>[3,5,2,4,1,6]
[5,3,1,3,5,2]=>[{3},{6},{2,4},{1,5}]=>[3,6,2,4,1,5]
[5,3,1,5,2,3]=>[{3},{5},{2,6},{1,4}]=>[3,5,2,6,1,4]
[5,3,1,5,3,2]=>[{3},{6},{2,5},{1,4}]=>[3,6,2,5,1,4]
[5,3,2,1,3,5]=>[{4},{3},{2,5},{1,6}]=>[4,3,2,5,1,6]
[5,3,2,1,5,3]=>[{4},{3},{2,6},{1,5}]=>[4,3,2,6,1,5]
[5,3,2,3,1,5]=>[{5},{3},{2,4},{1,6}]=>[5,3,2,4,1,6]
[5,3,2,3,5,1]=>[{6},{3},{2,4},{1,5}]=>[6,3,2,4,1,5]
[5,3,2,5,1,3]=>[{5},{3},{2,6},{1,4}]=>[5,3,2,6,1,4]
[5,3,2,5,3,1]=>[{6},{3},{2,5},{1,4}]=>[6,3,2,5,1,4]
[5,3,3,1,2,5]=>[{4},{5},{2,3},{1,6}]=>[4,5,2,3,1,6]
[5,3,3,1,5,2]=>[{4},{6},{2,3},{1,5}]=>[4,6,2,3,1,5]
[5,3,3,2,1,5]=>[{5},{4},{2,3},{1,6}]=>[5,4,2,3,1,6]
[5,3,3,2,5,1]=>[{6},{4},{2,3},{1,5}]=>[6,4,2,3,1,5]
[5,3,3,5,1,2]=>[{5},{6},{2,3},{1,4}]=>[5,6,2,3,1,4]
[5,3,3,5,2,1]=>[{6},{5},{2,3},{1,4}]=>[6,5,2,3,1,4]
[5,3,5,1,2,3]=>[{4},{5},{2,6},{1,3}]=>[4,5,2,6,1,3]
[5,3,5,1,3,2]=>[{4},{6},{2,5},{1,3}]=>[4,6,2,5,1,3]
[5,3,5,2,1,3]=>[{5},{4},{2,6},{1,3}]=>[5,4,2,6,1,3]
[5,3,5,2,3,1]=>[{6},{4},{2,5},{1,3}]=>[6,4,2,5,1,3]
[5,3,5,3,1,2]=>[{5},{6},{2,4},{1,3}]=>[5,6,2,4,1,3]
[5,3,5,3,2,1]=>[{6},{5},{2,4},{1,3}]=>[6,5,2,4,1,3]
[5,5,1,2,3,3]=>[{3},{4},{5,6},{1,2}]=>[3,4,5,6,1,2]
[5,5,1,3,2,3]=>[{3},{5},{4,6},{1,2}]=>[3,5,4,6,1,2]
[5,5,1,3,3,2]=>[{3},{6},{4,5},{1,2}]=>[3,6,4,5,1,2]
[5,5,2,1,3,3]=>[{4},{3},{5,6},{1,2}]=>[4,3,5,6,1,2]
[5,5,2,3,1,3]=>[{5},{3},{4,6},{1,2}]=>[5,3,4,6,1,2]
[5,5,2,3,3,1]=>[{6},{3},{4,5},{1,2}]=>[6,3,4,5,1,2]
[5,5,3,1,2,3]=>[{4},{5},{3,6},{1,2}]=>[4,5,3,6,1,2]
[5,5,3,1,3,2]=>[{4},{6},{3,5},{1,2}]=>[4,6,3,5,1,2]
[5,5,3,2,1,3]=>[{5},{4},{3,6},{1,2}]=>[5,4,3,6,1,2]
[5,5,3,2,3,1]=>[{6},{4},{3,5},{1,2}]=>[6,4,3,5,1,2]
[5,5,3,3,1,2]=>[{5},{6},{3,4},{1,2}]=>[5,6,3,4,1,2]
[5,5,3,3,2,1]=>[{6},{5},{3,4},{1,2}]=>[6,5,3,4,1,2]
[1,2,3,3,5,6]=>[{1},{2},{3,4},{5},{6}]=>[1,2,3,4,5,6]
[1,2,3,3,6,5]=>[{1},{2},{3,4},{6},{5}]=>[1,2,3,4,6,5]
[1,2,3,5,3,6]=>[{1},{2},{3,5},{4},{6}]=>[1,2,3,5,4,6]
[1,2,3,5,6,3]=>[{1},{2},{3,6},{4},{5}]=>[1,2,3,6,4,5]
[1,2,3,6,3,5]=>[{1},{2},{3,5},{6},{4}]=>[1,2,3,5,6,4]
[1,2,3,6,5,3]=>[{1},{2},{3,6},{5},{4}]=>[1,2,3,6,5,4]
[1,2,5,3,3,6]=>[{1},{2},{4,5},{3},{6}]=>[1,2,4,5,3,6]
[1,2,5,3,6,3]=>[{1},{2},{4,6},{3},{5}]=>[1,2,4,6,3,5]
[1,2,5,6,3,3]=>[{1},{2},{5,6},{3},{4}]=>[1,2,5,6,3,4]
[1,2,6,3,3,5]=>[{1},{2},{4,5},{6},{3}]=>[1,2,4,5,6,3]
[1,2,6,3,5,3]=>[{1},{2},{4,6},{5},{3}]=>[1,2,4,6,5,3]
[1,2,6,5,3,3]=>[{1},{2},{5,6},{4},{3}]=>[1,2,5,6,4,3]
[1,3,2,3,5,6]=>[{1},{3},{2,4},{5},{6}]=>[1,3,2,4,5,6]
[1,3,2,3,6,5]=>[{1},{3},{2,4},{6},{5}]=>[1,3,2,4,6,5]
[1,3,2,5,3,6]=>[{1},{3},{2,5},{4},{6}]=>[1,3,2,5,4,6]
[1,3,2,5,6,3]=>[{1},{3},{2,6},{4},{5}]=>[1,3,2,6,4,5]
[1,3,2,6,3,5]=>[{1},{3},{2,5},{6},{4}]=>[1,3,2,5,6,4]
[1,3,2,6,5,3]=>[{1},{3},{2,6},{5},{4}]=>[1,3,2,6,5,4]
[1,3,3,2,5,6]=>[{1},{4},{2,3},{5},{6}]=>[1,4,2,3,5,6]
[1,3,3,2,6,5]=>[{1},{4},{2,3},{6},{5}]=>[1,4,2,3,6,5]
[1,3,3,5,2,6]=>[{1},{5},{2,3},{4},{6}]=>[1,5,2,3,4,6]
[1,3,3,5,6,2]=>[{1},{6},{2,3},{4},{5}]=>[1,6,2,3,4,5]
[1,3,3,6,2,5]=>[{1},{5},{2,3},{6},{4}]=>[1,5,2,3,6,4]
[1,3,3,6,5,2]=>[{1},{6},{2,3},{5},{4}]=>[1,6,2,3,5,4]
[1,3,5,2,3,6]=>[{1},{4},{2,5},{3},{6}]=>[1,4,2,5,3,6]
[1,3,5,2,6,3]=>[{1},{4},{2,6},{3},{5}]=>[1,4,2,6,3,5]
[1,3,5,3,2,6]=>[{1},{5},{2,4},{3},{6}]=>[1,5,2,4,3,6]
[1,3,5,3,6,2]=>[{1},{6},{2,4},{3},{5}]=>[1,6,2,4,3,5]
[1,3,5,6,2,3]=>[{1},{5},{2,6},{3},{4}]=>[1,5,2,6,3,4]
[1,3,5,6,3,2]=>[{1},{6},{2,5},{3},{4}]=>[1,6,2,5,3,4]
[1,3,6,2,3,5]=>[{1},{4},{2,5},{6},{3}]=>[1,4,2,5,6,3]
[1,3,6,2,5,3]=>[{1},{4},{2,6},{5},{3}]=>[1,4,2,6,5,3]
[1,3,6,3,2,5]=>[{1},{5},{2,4},{6},{3}]=>[1,5,2,4,6,3]
[1,3,6,3,5,2]=>[{1},{6},{2,4},{5},{3}]=>[1,6,2,4,5,3]
[1,3,6,5,2,3]=>[{1},{5},{2,6},{4},{3}]=>[1,5,2,6,4,3]
[1,3,6,5,3,2]=>[{1},{6},{2,5},{4},{3}]=>[1,6,2,5,4,3]
[1,5,2,3,3,6]=>[{1},{3},{4,5},{2},{6}]=>[1,3,4,5,2,6]
[1,5,2,3,6,3]=>[{1},{3},{4,6},{2},{5}]=>[1,3,4,6,2,5]
[1,5,2,6,3,3]=>[{1},{3},{5,6},{2},{4}]=>[1,3,5,6,2,4]
[1,5,3,2,3,6]=>[{1},{4},{3,5},{2},{6}]=>[1,4,3,5,2,6]
[1,5,3,2,6,3]=>[{1},{4},{3,6},{2},{5}]=>[1,4,3,6,2,5]
[1,5,3,3,2,6]=>[{1},{5},{3,4},{2},{6}]=>[1,5,3,4,2,6]
[1,5,3,3,6,2]=>[{1},{6},{3,4},{2},{5}]=>[1,6,3,4,2,5]
[1,5,3,6,2,3]=>[{1},{5},{3,6},{2},{4}]=>[1,5,3,6,2,4]
[1,5,3,6,3,2]=>[{1},{6},{3,5},{2},{4}]=>[1,6,3,5,2,4]
[1,5,6,2,3,3]=>[{1},{4},{5,6},{2},{3}]=>[1,4,5,6,2,3]
[1,5,6,3,2,3]=>[{1},{5},{4,6},{2},{3}]=>[1,5,4,6,2,3]
[1,5,6,3,3,2]=>[{1},{6},{4,5},{2},{3}]=>[1,6,4,5,2,3]
[1,6,2,3,3,5]=>[{1},{3},{4,5},{6},{2}]=>[1,3,4,5,6,2]
[1,6,2,3,5,3]=>[{1},{3},{4,6},{5},{2}]=>[1,3,4,6,5,2]
[1,6,2,5,3,3]=>[{1},{3},{5,6},{4},{2}]=>[1,3,5,6,4,2]
[1,6,3,2,3,5]=>[{1},{4},{3,5},{6},{2}]=>[1,4,3,5,6,2]
[1,6,3,2,5,3]=>[{1},{4},{3,6},{5},{2}]=>[1,4,3,6,5,2]
[1,6,3,3,2,5]=>[{1},{5},{3,4},{6},{2}]=>[1,5,3,4,6,2]
[1,6,3,3,5,2]=>[{1},{6},{3,4},{5},{2}]=>[1,6,3,4,5,2]
[1,6,3,5,2,3]=>[{1},{5},{3,6},{4},{2}]=>[1,5,3,6,4,2]
[1,6,3,5,3,2]=>[{1},{6},{3,5},{4},{2}]=>[1,6,3,5,4,2]
[1,6,5,2,3,3]=>[{1},{4},{5,6},{3},{2}]=>[1,4,5,6,3,2]
[1,6,5,3,2,3]=>[{1},{5},{4,6},{3},{2}]=>[1,5,4,6,3,2]
[1,6,5,3,3,2]=>[{1},{6},{4,5},{3},{2}]=>[1,6,4,5,3,2]
[2,1,3,3,5,6]=>[{2},{1},{3,4},{5},{6}]=>[2,1,3,4,5,6]
[2,1,3,3,6,5]=>[{2},{1},{3,4},{6},{5}]=>[2,1,3,4,6,5]
[2,1,3,5,3,6]=>[{2},{1},{3,5},{4},{6}]=>[2,1,3,5,4,6]
[2,1,3,5,6,3]=>[{2},{1},{3,6},{4},{5}]=>[2,1,3,6,4,5]
[2,1,3,6,3,5]=>[{2},{1},{3,5},{6},{4}]=>[2,1,3,5,6,4]
[2,1,3,6,5,3]=>[{2},{1},{3,6},{5},{4}]=>[2,1,3,6,5,4]
[2,1,5,3,3,6]=>[{2},{1},{4,5},{3},{6}]=>[2,1,4,5,3,6]
[2,1,5,3,6,3]=>[{2},{1},{4,6},{3},{5}]=>[2,1,4,6,3,5]
[2,1,5,6,3,3]=>[{2},{1},{5,6},{3},{4}]=>[2,1,5,6,3,4]
[2,1,6,3,3,5]=>[{2},{1},{4,5},{6},{3}]=>[2,1,4,5,6,3]
[2,1,6,3,5,3]=>[{2},{1},{4,6},{5},{3}]=>[2,1,4,6,5,3]
[2,1,6,5,3,3]=>[{2},{1},{5,6},{4},{3}]=>[2,1,5,6,4,3]
[2,3,1,3,5,6]=>[{3},{1},{2,4},{5},{6}]=>[3,1,2,4,5,6]
[2,3,1,3,6,5]=>[{3},{1},{2,4},{6},{5}]=>[3,1,2,4,6,5]
[2,3,1,5,3,6]=>[{3},{1},{2,5},{4},{6}]=>[3,1,2,5,4,6]
[2,3,1,5,6,3]=>[{3},{1},{2,6},{4},{5}]=>[3,1,2,6,4,5]
[2,3,1,6,3,5]=>[{3},{1},{2,5},{6},{4}]=>[3,1,2,5,6,4]
[2,3,1,6,5,3]=>[{3},{1},{2,6},{5},{4}]=>[3,1,2,6,5,4]
[2,3,3,1,5,6]=>[{4},{1},{2,3},{5},{6}]=>[4,1,2,3,5,6]
[2,3,3,1,6,5]=>[{4},{1},{2,3},{6},{5}]=>[4,1,2,3,6,5]
[2,3,3,5,1,6]=>[{5},{1},{2,3},{4},{6}]=>[5,1,2,3,4,6]
[2,3,3,5,6,1]=>[{6},{1},{2,3},{4},{5}]=>[6,1,2,3,4,5]
[2,3,3,6,1,5]=>[{5},{1},{2,3},{6},{4}]=>[5,1,2,3,6,4]
[2,3,3,6,5,1]=>[{6},{1},{2,3},{5},{4}]=>[6,1,2,3,5,4]
[2,3,5,1,3,6]=>[{4},{1},{2,5},{3},{6}]=>[4,1,2,5,3,6]
[2,3,5,1,6,3]=>[{4},{1},{2,6},{3},{5}]=>[4,1,2,6,3,5]
[2,3,5,3,1,6]=>[{5},{1},{2,4},{3},{6}]=>[5,1,2,4,3,6]
[2,3,5,3,6,1]=>[{6},{1},{2,4},{3},{5}]=>[6,1,2,4,3,5]
[2,3,5,6,1,3]=>[{5},{1},{2,6},{3},{4}]=>[5,1,2,6,3,4]
[2,3,5,6,3,1]=>[{6},{1},{2,5},{3},{4}]=>[6,1,2,5,3,4]
[2,3,6,1,3,5]=>[{4},{1},{2,5},{6},{3}]=>[4,1,2,5,6,3]
[2,3,6,1,5,3]=>[{4},{1},{2,6},{5},{3}]=>[4,1,2,6,5,3]
[2,3,6,3,1,5]=>[{5},{1},{2,4},{6},{3}]=>[5,1,2,4,6,3]
[2,3,6,3,5,1]=>[{6},{1},{2,4},{5},{3}]=>[6,1,2,4,5,3]
[2,3,6,5,1,3]=>[{5},{1},{2,6},{4},{3}]=>[5,1,2,6,4,3]
[2,3,6,5,3,1]=>[{6},{1},{2,5},{4},{3}]=>[6,1,2,5,4,3]
[2,5,1,3,3,6]=>[{3},{1},{4,5},{2},{6}]=>[3,1,4,5,2,6]
[2,5,1,3,6,3]=>[{3},{1},{4,6},{2},{5}]=>[3,1,4,6,2,5]
[2,5,1,6,3,3]=>[{3},{1},{5,6},{2},{4}]=>[3,1,5,6,2,4]
[2,5,3,1,3,6]=>[{4},{1},{3,5},{2},{6}]=>[4,1,3,5,2,6]
[2,5,3,1,6,3]=>[{4},{1},{3,6},{2},{5}]=>[4,1,3,6,2,5]
[2,5,3,3,1,6]=>[{5},{1},{3,4},{2},{6}]=>[5,1,3,4,2,6]
[2,5,3,3,6,1]=>[{6},{1},{3,4},{2},{5}]=>[6,1,3,4,2,5]
[2,5,3,6,1,3]=>[{5},{1},{3,6},{2},{4}]=>[5,1,3,6,2,4]
[2,5,3,6,3,1]=>[{6},{1},{3,5},{2},{4}]=>[6,1,3,5,2,4]
[2,5,6,1,3,3]=>[{4},{1},{5,6},{2},{3}]=>[4,1,5,6,2,3]
[2,5,6,3,1,3]=>[{5},{1},{4,6},{2},{3}]=>[5,1,4,6,2,3]
[2,5,6,3,3,1]=>[{6},{1},{4,5},{2},{3}]=>[6,1,4,5,2,3]
[2,6,1,3,3,5]=>[{3},{1},{4,5},{6},{2}]=>[3,1,4,5,6,2]
[2,6,1,3,5,3]=>[{3},{1},{4,6},{5},{2}]=>[3,1,4,6,5,2]
[2,6,1,5,3,3]=>[{3},{1},{5,6},{4},{2}]=>[3,1,5,6,4,2]
[2,6,3,1,3,5]=>[{4},{1},{3,5},{6},{2}]=>[4,1,3,5,6,2]
[2,6,3,1,5,3]=>[{4},{1},{3,6},{5},{2}]=>[4,1,3,6,5,2]
[2,6,3,3,1,5]=>[{5},{1},{3,4},{6},{2}]=>[5,1,3,4,6,2]
[2,6,3,3,5,1]=>[{6},{1},{3,4},{5},{2}]=>[6,1,3,4,5,2]
[2,6,3,5,1,3]=>[{5},{1},{3,6},{4},{2}]=>[5,1,3,6,4,2]
[2,6,3,5,3,1]=>[{6},{1},{3,5},{4},{2}]=>[6,1,3,5,4,2]
[2,6,5,1,3,3]=>[{4},{1},{5,6},{3},{2}]=>[4,1,5,6,3,2]
[2,6,5,3,1,3]=>[{5},{1},{4,6},{3},{2}]=>[5,1,4,6,3,2]
[2,6,5,3,3,1]=>[{6},{1},{4,5},{3},{2}]=>[6,1,4,5,3,2]
[3,1,2,3,5,6]=>[{2},{3},{1,4},{5},{6}]=>[2,3,1,4,5,6]
[3,1,2,3,6,5]=>[{2},{3},{1,4},{6},{5}]=>[2,3,1,4,6,5]
[3,1,2,5,3,6]=>[{2},{3},{1,5},{4},{6}]=>[2,3,1,5,4,6]
[3,1,2,5,6,3]=>[{2},{3},{1,6},{4},{5}]=>[2,3,1,6,4,5]
[3,1,2,6,3,5]=>[{2},{3},{1,5},{6},{4}]=>[2,3,1,5,6,4]
[3,1,2,6,5,3]=>[{2},{3},{1,6},{5},{4}]=>[2,3,1,6,5,4]
[3,1,3,2,5,6]=>[{2},{4},{1,3},{5},{6}]=>[2,4,1,3,5,6]
[3,1,3,2,6,5]=>[{2},{4},{1,3},{6},{5}]=>[2,4,1,3,6,5]
[3,1,3,5,2,6]=>[{2},{5},{1,3},{4},{6}]=>[2,5,1,3,4,6]
[3,1,3,5,6,2]=>[{2},{6},{1,3},{4},{5}]=>[2,6,1,3,4,5]
[3,1,3,6,2,5]=>[{2},{5},{1,3},{6},{4}]=>[2,5,1,3,6,4]
[3,1,3,6,5,2]=>[{2},{6},{1,3},{5},{4}]=>[2,6,1,3,5,4]
[3,1,5,2,3,6]=>[{2},{4},{1,5},{3},{6}]=>[2,4,1,5,3,6]
[3,1,5,2,6,3]=>[{2},{4},{1,6},{3},{5}]=>[2,4,1,6,3,5]
[3,1,5,3,2,6]=>[{2},{5},{1,4},{3},{6}]=>[2,5,1,4,3,6]
[3,1,5,3,6,2]=>[{2},{6},{1,4},{3},{5}]=>[2,6,1,4,3,5]
[3,1,5,6,2,3]=>[{2},{5},{1,6},{3},{4}]=>[2,5,1,6,3,4]
[3,1,5,6,3,2]=>[{2},{6},{1,5},{3},{4}]=>[2,6,1,5,3,4]
[3,1,6,2,3,5]=>[{2},{4},{1,5},{6},{3}]=>[2,4,1,5,6,3]
[3,1,6,2,5,3]=>[{2},{4},{1,6},{5},{3}]=>[2,4,1,6,5,3]
[3,1,6,3,2,5]=>[{2},{5},{1,4},{6},{3}]=>[2,5,1,4,6,3]
[3,1,6,3,5,2]=>[{2},{6},{1,4},{5},{3}]=>[2,6,1,4,5,3]
[3,1,6,5,2,3]=>[{2},{5},{1,6},{4},{3}]=>[2,5,1,6,4,3]
[3,1,6,5,3,2]=>[{2},{6},{1,5},{4},{3}]=>[2,6,1,5,4,3]
[3,2,1,3,5,6]=>[{3},{2},{1,4},{5},{6}]=>[3,2,1,4,5,6]
[3,2,1,3,6,5]=>[{3},{2},{1,4},{6},{5}]=>[3,2,1,4,6,5]
[3,2,1,5,3,6]=>[{3},{2},{1,5},{4},{6}]=>[3,2,1,5,4,6]
[3,2,1,5,6,3]=>[{3},{2},{1,6},{4},{5}]=>[3,2,1,6,4,5]
[3,2,1,6,3,5]=>[{3},{2},{1,5},{6},{4}]=>[3,2,1,5,6,4]
[3,2,1,6,5,3]=>[{3},{2},{1,6},{5},{4}]=>[3,2,1,6,5,4]
[3,2,3,1,5,6]=>[{4},{2},{1,3},{5},{6}]=>[4,2,1,3,5,6]
[3,2,3,1,6,5]=>[{4},{2},{1,3},{6},{5}]=>[4,2,1,3,6,5]
[3,2,3,5,1,6]=>[{5},{2},{1,3},{4},{6}]=>[5,2,1,3,4,6]
[3,2,3,5,6,1]=>[{6},{2},{1,3},{4},{5}]=>[6,2,1,3,4,5]
[3,2,3,6,1,5]=>[{5},{2},{1,3},{6},{4}]=>[5,2,1,3,6,4]
[3,2,3,6,5,1]=>[{6},{2},{1,3},{5},{4}]=>[6,2,1,3,5,4]
[3,2,5,1,3,6]=>[{4},{2},{1,5},{3},{6}]=>[4,2,1,5,3,6]
[3,2,5,1,6,3]=>[{4},{2},{1,6},{3},{5}]=>[4,2,1,6,3,5]
[3,2,5,3,1,6]=>[{5},{2},{1,4},{3},{6}]=>[5,2,1,4,3,6]
[3,2,5,3,6,1]=>[{6},{2},{1,4},{3},{5}]=>[6,2,1,4,3,5]
[3,2,5,6,1,3]=>[{5},{2},{1,6},{3},{4}]=>[5,2,1,6,3,4]
[3,2,5,6,3,1]=>[{6},{2},{1,5},{3},{4}]=>[6,2,1,5,3,4]
[3,2,6,1,3,5]=>[{4},{2},{1,5},{6},{3}]=>[4,2,1,5,6,3]
[3,2,6,1,5,3]=>[{4},{2},{1,6},{5},{3}]=>[4,2,1,6,5,3]
[3,2,6,3,1,5]=>[{5},{2},{1,4},{6},{3}]=>[5,2,1,4,6,3]
[3,2,6,3,5,1]=>[{6},{2},{1,4},{5},{3}]=>[6,2,1,4,5,3]
[3,2,6,5,1,3]=>[{5},{2},{1,6},{4},{3}]=>[5,2,1,6,4,3]
[3,2,6,5,3,1]=>[{6},{2},{1,5},{4},{3}]=>[6,2,1,5,4,3]
[3,3,1,2,5,6]=>[{3},{4},{1,2},{5},{6}]=>[3,4,1,2,5,6]
[3,3,1,2,6,5]=>[{3},{4},{1,2},{6},{5}]=>[3,4,1,2,6,5]
[3,3,1,5,2,6]=>[{3},{5},{1,2},{4},{6}]=>[3,5,1,2,4,6]
[3,3,1,5,6,2]=>[{3},{6},{1,2},{4},{5}]=>[3,6,1,2,4,5]
[3,3,1,6,2,5]=>[{3},{5},{1,2},{6},{4}]=>[3,5,1,2,6,4]
[3,3,1,6,5,2]=>[{3},{6},{1,2},{5},{4}]=>[3,6,1,2,5,4]
[3,3,2,1,5,6]=>[{4},{3},{1,2},{5},{6}]=>[4,3,1,2,5,6]
[3,3,2,1,6,5]=>[{4},{3},{1,2},{6},{5}]=>[4,3,1,2,6,5]
[3,3,2,5,1,6]=>[{5},{3},{1,2},{4},{6}]=>[5,3,1,2,4,6]
[3,3,2,5,6,1]=>[{6},{3},{1,2},{4},{5}]=>[6,3,1,2,4,5]
[3,3,2,6,1,5]=>[{5},{3},{1,2},{6},{4}]=>[5,3,1,2,6,4]
[3,3,2,6,5,1]=>[{6},{3},{1,2},{5},{4}]=>[6,3,1,2,5,4]
[3,3,5,1,2,6]=>[{4},{5},{1,2},{3},{6}]=>[4,5,1,2,3,6]
[3,3,5,1,6,2]=>[{4},{6},{1,2},{3},{5}]=>[4,6,1,2,3,5]
[3,3,5,2,1,6]=>[{5},{4},{1,2},{3},{6}]=>[5,4,1,2,3,6]
[3,3,5,2,6,1]=>[{6},{4},{1,2},{3},{5}]=>[6,4,1,2,3,5]
[3,3,5,6,1,2]=>[{5},{6},{1,2},{3},{4}]=>[5,6,1,2,3,4]
[3,3,5,6,2,1]=>[{6},{5},{1,2},{3},{4}]=>[6,5,1,2,3,4]
[3,3,6,1,2,5]=>[{4},{5},{1,2},{6},{3}]=>[4,5,1,2,6,3]
[3,3,6,1,5,2]=>[{4},{6},{1,2},{5},{3}]=>[4,6,1,2,5,3]
[3,3,6,2,1,5]=>[{5},{4},{1,2},{6},{3}]=>[5,4,1,2,6,3]
[3,3,6,2,5,1]=>[{6},{4},{1,2},{5},{3}]=>[6,4,1,2,5,3]
[3,3,6,5,1,2]=>[{5},{6},{1,2},{4},{3}]=>[5,6,1,2,4,3]
[3,3,6,5,2,1]=>[{6},{5},{1,2},{4},{3}]=>[6,5,1,2,4,3]
[3,5,1,2,3,6]=>[{3},{4},{1,5},{2},{6}]=>[3,4,1,5,2,6]
[3,5,1,2,6,3]=>[{3},{4},{1,6},{2},{5}]=>[3,4,1,6,2,5]
[3,5,1,3,2,6]=>[{3},{5},{1,4},{2},{6}]=>[3,5,1,4,2,6]
[3,5,1,3,6,2]=>[{3},{6},{1,4},{2},{5}]=>[3,6,1,4,2,5]
[3,5,1,6,2,3]=>[{3},{5},{1,6},{2},{4}]=>[3,5,1,6,2,4]
[3,5,1,6,3,2]=>[{3},{6},{1,5},{2},{4}]=>[3,6,1,5,2,4]
[3,5,2,1,3,6]=>[{4},{3},{1,5},{2},{6}]=>[4,3,1,5,2,6]
[3,5,2,1,6,3]=>[{4},{3},{1,6},{2},{5}]=>[4,3,1,6,2,5]
[3,5,2,3,1,6]=>[{5},{3},{1,4},{2},{6}]=>[5,3,1,4,2,6]
[3,5,2,3,6,1]=>[{6},{3},{1,4},{2},{5}]=>[6,3,1,4,2,5]
[3,5,2,6,1,3]=>[{5},{3},{1,6},{2},{4}]=>[5,3,1,6,2,4]
[3,5,2,6,3,1]=>[{6},{3},{1,5},{2},{4}]=>[6,3,1,5,2,4]
[3,5,3,1,2,6]=>[{4},{5},{1,3},{2},{6}]=>[4,5,1,3,2,6]
[3,5,3,1,6,2]=>[{4},{6},{1,3},{2},{5}]=>[4,6,1,3,2,5]
[3,5,3,2,1,6]=>[{5},{4},{1,3},{2},{6}]=>[5,4,1,3,2,6]
[3,5,3,2,6,1]=>[{6},{4},{1,3},{2},{5}]=>[6,4,1,3,2,5]
[3,5,3,6,1,2]=>[{5},{6},{1,3},{2},{4}]=>[5,6,1,3,2,4]
[3,5,3,6,2,1]=>[{6},{5},{1,3},{2},{4}]=>[6,5,1,3,2,4]
[3,5,6,1,2,3]=>[{4},{5},{1,6},{2},{3}]=>[4,5,1,6,2,3]
[3,5,6,1,3,2]=>[{4},{6},{1,5},{2},{3}]=>[4,6,1,5,2,3]
[3,5,6,2,1,3]=>[{5},{4},{1,6},{2},{3}]=>[5,4,1,6,2,3]
[3,5,6,2,3,1]=>[{6},{4},{1,5},{2},{3}]=>[6,4,1,5,2,3]
[3,5,6,3,1,2]=>[{5},{6},{1,4},{2},{3}]=>[5,6,1,4,2,3]
[3,5,6,3,2,1]=>[{6},{5},{1,4},{2},{3}]=>[6,5,1,4,2,3]
[3,6,1,2,3,5]=>[{3},{4},{1,5},{6},{2}]=>[3,4,1,5,6,2]
[3,6,1,2,5,3]=>[{3},{4},{1,6},{5},{2}]=>[3,4,1,6,5,2]
[3,6,1,3,2,5]=>[{3},{5},{1,4},{6},{2}]=>[3,5,1,4,6,2]
[3,6,1,3,5,2]=>[{3},{6},{1,4},{5},{2}]=>[3,6,1,4,5,2]
[3,6,1,5,2,3]=>[{3},{5},{1,6},{4},{2}]=>[3,5,1,6,4,2]
[3,6,1,5,3,2]=>[{3},{6},{1,5},{4},{2}]=>[3,6,1,5,4,2]
[3,6,2,1,3,5]=>[{4},{3},{1,5},{6},{2}]=>[4,3,1,5,6,2]
[3,6,2,1,5,3]=>[{4},{3},{1,6},{5},{2}]=>[4,3,1,6,5,2]
[3,6,2,3,1,5]=>[{5},{3},{1,4},{6},{2}]=>[5,3,1,4,6,2]
[3,6,2,3,5,1]=>[{6},{3},{1,4},{5},{2}]=>[6,3,1,4,5,2]
[3,6,2,5,1,3]=>[{5},{3},{1,6},{4},{2}]=>[5,3,1,6,4,2]
[3,6,2,5,3,1]=>[{6},{3},{1,5},{4},{2}]=>[6,3,1,5,4,2]
[3,6,3,1,2,5]=>[{4},{5},{1,3},{6},{2}]=>[4,5,1,3,6,2]
[3,6,3,1,5,2]=>[{4},{6},{1,3},{5},{2}]=>[4,6,1,3,5,2]
[3,6,3,2,1,5]=>[{5},{4},{1,3},{6},{2}]=>[5,4,1,3,6,2]
[3,6,3,2,5,1]=>[{6},{4},{1,3},{5},{2}]=>[6,4,1,3,5,2]
[3,6,3,5,1,2]=>[{5},{6},{1,3},{4},{2}]=>[5,6,1,3,4,2]
[3,6,3,5,2,1]=>[{6},{5},{1,3},{4},{2}]=>[6,5,1,3,4,2]
[3,6,5,1,2,3]=>[{4},{5},{1,6},{3},{2}]=>[4,5,1,6,3,2]
[3,6,5,1,3,2]=>[{4},{6},{1,5},{3},{2}]=>[4,6,1,5,3,2]
[3,6,5,2,1,3]=>[{5},{4},{1,6},{3},{2}]=>[5,4,1,6,3,2]
[3,6,5,2,3,1]=>[{6},{4},{1,5},{3},{2}]=>[6,4,1,5,3,2]
[3,6,5,3,1,2]=>[{5},{6},{1,4},{3},{2}]=>[5,6,1,4,3,2]
[3,6,5,3,2,1]=>[{6},{5},{1,4},{3},{2}]=>[6,5,1,4,3,2]
[5,1,2,3,3,6]=>[{2},{3},{4,5},{1},{6}]=>[2,3,4,5,1,6]
[5,1,2,3,6,3]=>[{2},{3},{4,6},{1},{5}]=>[2,3,4,6,1,5]
[5,1,2,6,3,3]=>[{2},{3},{5,6},{1},{4}]=>[2,3,5,6,1,4]
[5,1,3,2,3,6]=>[{2},{4},{3,5},{1},{6}]=>[2,4,3,5,1,6]
[5,1,3,2,6,3]=>[{2},{4},{3,6},{1},{5}]=>[2,4,3,6,1,5]
[5,1,3,3,2,6]=>[{2},{5},{3,4},{1},{6}]=>[2,5,3,4,1,6]
[5,1,3,3,6,2]=>[{2},{6},{3,4},{1},{5}]=>[2,6,3,4,1,5]
[5,1,3,6,2,3]=>[{2},{5},{3,6},{1},{4}]=>[2,5,3,6,1,4]
[5,1,3,6,3,2]=>[{2},{6},{3,5},{1},{4}]=>[2,6,3,5,1,4]
[5,1,6,2,3,3]=>[{2},{4},{5,6},{1},{3}]=>[2,4,5,6,1,3]
[5,1,6,3,2,3]=>[{2},{5},{4,6},{1},{3}]=>[2,5,4,6,1,3]
[5,1,6,3,3,2]=>[{2},{6},{4,5},{1},{3}]=>[2,6,4,5,1,3]
[5,2,1,3,3,6]=>[{3},{2},{4,5},{1},{6}]=>[3,2,4,5,1,6]
[5,2,1,3,6,3]=>[{3},{2},{4,6},{1},{5}]=>[3,2,4,6,1,5]
[5,2,1,6,3,3]=>[{3},{2},{5,6},{1},{4}]=>[3,2,5,6,1,4]
[5,2,3,1,3,6]=>[{4},{2},{3,5},{1},{6}]=>[4,2,3,5,1,6]
[5,2,3,1,6,3]=>[{4},{2},{3,6},{1},{5}]=>[4,2,3,6,1,5]
[5,2,3,3,1,6]=>[{5},{2},{3,4},{1},{6}]=>[5,2,3,4,1,6]
[5,2,3,3,6,1]=>[{6},{2},{3,4},{1},{5}]=>[6,2,3,4,1,5]
[5,2,3,6,1,3]=>[{5},{2},{3,6},{1},{4}]=>[5,2,3,6,1,4]
[5,2,3,6,3,1]=>[{6},{2},{3,5},{1},{4}]=>[6,2,3,5,1,4]
[5,2,6,1,3,3]=>[{4},{2},{5,6},{1},{3}]=>[4,2,5,6,1,3]
[5,2,6,3,1,3]=>[{5},{2},{4,6},{1},{3}]=>[5,2,4,6,1,3]
[5,2,6,3,3,1]=>[{6},{2},{4,5},{1},{3}]=>[6,2,4,5,1,3]
[5,3,1,2,3,6]=>[{3},{4},{2,5},{1},{6}]=>[3,4,2,5,1,6]
[5,3,1,2,6,3]=>[{3},{4},{2,6},{1},{5}]=>[3,4,2,6,1,5]
[5,3,1,3,2,6]=>[{3},{5},{2,4},{1},{6}]=>[3,5,2,4,1,6]
[5,3,1,3,6,2]=>[{3},{6},{2,4},{1},{5}]=>[3,6,2,4,1,5]
[5,3,1,6,2,3]=>[{3},{5},{2,6},{1},{4}]=>[3,5,2,6,1,4]
[5,3,1,6,3,2]=>[{3},{6},{2,5},{1},{4}]=>[3,6,2,5,1,4]
[5,3,2,1,3,6]=>[{4},{3},{2,5},{1},{6}]=>[4,3,2,5,1,6]
[5,3,2,1,6,3]=>[{4},{3},{2,6},{1},{5}]=>[4,3,2,6,1,5]
[5,3,2,3,1,6]=>[{5},{3},{2,4},{1},{6}]=>[5,3,2,4,1,6]
[5,3,2,3,6,1]=>[{6},{3},{2,4},{1},{5}]=>[6,3,2,4,1,5]
[5,3,2,6,1,3]=>[{5},{3},{2,6},{1},{4}]=>[5,3,2,6,1,4]
[5,3,2,6,3,1]=>[{6},{3},{2,5},{1},{4}]=>[6,3,2,5,1,4]
[5,3,3,1,2,6]=>[{4},{5},{2,3},{1},{6}]=>[4,5,2,3,1,6]
[5,3,3,1,6,2]=>[{4},{6},{2,3},{1},{5}]=>[4,6,2,3,1,5]
[5,3,3,2,1,6]=>[{5},{4},{2,3},{1},{6}]=>[5,4,2,3,1,6]
[5,3,3,2,6,1]=>[{6},{4},{2,3},{1},{5}]=>[6,4,2,3,1,5]
[5,3,3,6,1,2]=>[{5},{6},{2,3},{1},{4}]=>[5,6,2,3,1,4]
[5,3,3,6,2,1]=>[{6},{5},{2,3},{1},{4}]=>[6,5,2,3,1,4]
[5,3,6,1,2,3]=>[{4},{5},{2,6},{1},{3}]=>[4,5,2,6,1,3]
[5,3,6,1,3,2]=>[{4},{6},{2,5},{1},{3}]=>[4,6,2,5,1,3]
[5,3,6,2,1,3]=>[{5},{4},{2,6},{1},{3}]=>[5,4,2,6,1,3]
[5,3,6,2,3,1]=>[{6},{4},{2,5},{1},{3}]=>[6,4,2,5,1,3]
[5,3,6,3,1,2]=>[{5},{6},{2,4},{1},{3}]=>[5,6,2,4,1,3]
[5,3,6,3,2,1]=>[{6},{5},{2,4},{1},{3}]=>[6,5,2,4,1,3]
[5,6,1,2,3,3]=>[{3},{4},{5,6},{1},{2}]=>[3,4,5,6,1,2]
[5,6,1,3,2,3]=>[{3},{5},{4,6},{1},{2}]=>[3,5,4,6,1,2]
[5,6,1,3,3,2]=>[{3},{6},{4,5},{1},{2}]=>[3,6,4,5,1,2]
[5,6,2,1,3,3]=>[{4},{3},{5,6},{1},{2}]=>[4,3,5,6,1,2]
[5,6,2,3,1,3]=>[{5},{3},{4,6},{1},{2}]=>[5,3,4,6,1,2]
[5,6,2,3,3,1]=>[{6},{3},{4,5},{1},{2}]=>[6,3,4,5,1,2]
[5,6,3,1,2,3]=>[{4},{5},{3,6},{1},{2}]=>[4,5,3,6,1,2]
[5,6,3,1,3,2]=>[{4},{6},{3,5},{1},{2}]=>[4,6,3,5,1,2]
[5,6,3,2,1,3]=>[{5},{4},{3,6},{1},{2}]=>[5,4,3,6,1,2]
[5,6,3,2,3,1]=>[{6},{4},{3,5},{1},{2}]=>[6,4,3,5,1,2]
[5,6,3,3,1,2]=>[{5},{6},{3,4},{1},{2}]=>[5,6,3,4,1,2]
[5,6,3,3,2,1]=>[{6},{5},{3,4},{1},{2}]=>[6,5,3,4,1,2]
[6,1,2,3,3,5]=>[{2},{3},{4,5},{6},{1}]=>[2,3,4,5,6,1]
[6,1,2,3,5,3]=>[{2},{3},{4,6},{5},{1}]=>[2,3,4,6,5,1]
[6,1,2,5,3,3]=>[{2},{3},{5,6},{4},{1}]=>[2,3,5,6,4,1]
[6,1,3,2,3,5]=>[{2},{4},{3,5},{6},{1}]=>[2,4,3,5,6,1]
[6,1,3,2,5,3]=>[{2},{4},{3,6},{5},{1}]=>[2,4,3,6,5,1]
[6,1,3,3,2,5]=>[{2},{5},{3,4},{6},{1}]=>[2,5,3,4,6,1]
[6,1,3,3,5,2]=>[{2},{6},{3,4},{5},{1}]=>[2,6,3,4,5,1]
[6,1,3,5,2,3]=>[{2},{5},{3,6},{4},{1}]=>[2,5,3,6,4,1]
[6,1,3,5,3,2]=>[{2},{6},{3,5},{4},{1}]=>[2,6,3,5,4,1]
[6,1,5,2,3,3]=>[{2},{4},{5,6},{3},{1}]=>[2,4,5,6,3,1]
[6,1,5,3,2,3]=>[{2},{5},{4,6},{3},{1}]=>[2,5,4,6,3,1]
[6,1,5,3,3,2]=>[{2},{6},{4,5},{3},{1}]=>[2,6,4,5,3,1]
[6,2,1,3,3,5]=>[{3},{2},{4,5},{6},{1}]=>[3,2,4,5,6,1]
[6,2,1,3,5,3]=>[{3},{2},{4,6},{5},{1}]=>[3,2,4,6,5,1]
[6,2,1,5,3,3]=>[{3},{2},{5,6},{4},{1}]=>[3,2,5,6,4,1]
[6,2,3,1,3,5]=>[{4},{2},{3,5},{6},{1}]=>[4,2,3,5,6,1]
[6,2,3,1,5,3]=>[{4},{2},{3,6},{5},{1}]=>[4,2,3,6,5,1]
[6,2,3,3,1,5]=>[{5},{2},{3,4},{6},{1}]=>[5,2,3,4,6,1]
[6,2,3,3,5,1]=>[{6},{2},{3,4},{5},{1}]=>[6,2,3,4,5,1]
[6,2,3,5,1,3]=>[{5},{2},{3,6},{4},{1}]=>[5,2,3,6,4,1]
[6,2,3,5,3,1]=>[{6},{2},{3,5},{4},{1}]=>[6,2,3,5,4,1]
[6,2,5,1,3,3]=>[{4},{2},{5,6},{3},{1}]=>[4,2,5,6,3,1]
[6,2,5,3,1,3]=>[{5},{2},{4,6},{3},{1}]=>[5,2,4,6,3,1]
[6,2,5,3,3,1]=>[{6},{2},{4,5},{3},{1}]=>[6,2,4,5,3,1]
[6,3,1,2,3,5]=>[{3},{4},{2,5},{6},{1}]=>[3,4,2,5,6,1]
[6,3,1,2,5,3]=>[{3},{4},{2,6},{5},{1}]=>[3,4,2,6,5,1]
[6,3,1,3,2,5]=>[{3},{5},{2,4},{6},{1}]=>[3,5,2,4,6,1]
[6,3,1,3,5,2]=>[{3},{6},{2,4},{5},{1}]=>[3,6,2,4,5,1]
[6,3,1,5,2,3]=>[{3},{5},{2,6},{4},{1}]=>[3,5,2,6,4,1]
[6,3,1,5,3,2]=>[{3},{6},{2,5},{4},{1}]=>[3,6,2,5,4,1]
[6,3,2,1,3,5]=>[{4},{3},{2,5},{6},{1}]=>[4,3,2,5,6,1]
[6,3,2,1,5,3]=>[{4},{3},{2,6},{5},{1}]=>[4,3,2,6,5,1]
[6,3,2,3,1,5]=>[{5},{3},{2,4},{6},{1}]=>[5,3,2,4,6,1]
[6,3,2,3,5,1]=>[{6},{3},{2,4},{5},{1}]=>[6,3,2,4,5,1]
[6,3,2,5,1,3]=>[{5},{3},{2,6},{4},{1}]=>[5,3,2,6,4,1]
[6,3,2,5,3,1]=>[{6},{3},{2,5},{4},{1}]=>[6,3,2,5,4,1]
[6,3,3,1,2,5]=>[{4},{5},{2,3},{6},{1}]=>[4,5,2,3,6,1]
[6,3,3,1,5,2]=>[{4},{6},{2,3},{5},{1}]=>[4,6,2,3,5,1]
[6,3,3,2,1,5]=>[{5},{4},{2,3},{6},{1}]=>[5,4,2,3,6,1]
[6,3,3,2,5,1]=>[{6},{4},{2,3},{5},{1}]=>[6,4,2,3,5,1]
[6,3,3,5,1,2]=>[{5},{6},{2,3},{4},{1}]=>[5,6,2,3,4,1]
[6,3,3,5,2,1]=>[{6},{5},{2,3},{4},{1}]=>[6,5,2,3,4,1]
[6,3,5,1,2,3]=>[{4},{5},{2,6},{3},{1}]=>[4,5,2,6,3,1]
[6,3,5,1,3,2]=>[{4},{6},{2,5},{3},{1}]=>[4,6,2,5,3,1]
[6,3,5,2,1,3]=>[{5},{4},{2,6},{3},{1}]=>[5,4,2,6,3,1]
[6,3,5,2,3,1]=>[{6},{4},{2,5},{3},{1}]=>[6,4,2,5,3,1]
[6,3,5,3,1,2]=>[{5},{6},{2,4},{3},{1}]=>[5,6,2,4,3,1]
[6,3,5,3,2,1]=>[{6},{5},{2,4},{3},{1}]=>[6,5,2,4,3,1]
[6,5,1,2,3,3]=>[{3},{4},{5,6},{2},{1}]=>[3,4,5,6,2,1]
[6,5,1,3,2,3]=>[{3},{5},{4,6},{2},{1}]=>[3,5,4,6,2,1]
[6,5,1,3,3,2]=>[{3},{6},{4,5},{2},{1}]=>[3,6,4,5,2,1]
[6,5,2,1,3,3]=>[{4},{3},{5,6},{2},{1}]=>[4,3,5,6,2,1]
[6,5,2,3,1,3]=>[{5},{3},{4,6},{2},{1}]=>[5,3,4,6,2,1]
[6,5,2,3,3,1]=>[{6},{3},{4,5},{2},{1}]=>[6,3,4,5,2,1]
[6,5,3,1,2,3]=>[{4},{5},{3,6},{2},{1}]=>[4,5,3,6,2,1]
[6,5,3,1,3,2]=>[{4},{6},{3,5},{2},{1}]=>[4,6,3,5,2,1]
[6,5,3,2,1,3]=>[{5},{4},{3,6},{2},{1}]=>[5,4,3,6,2,1]
[6,5,3,2,3,1]=>[{6},{4},{3,5},{2},{1}]=>[6,4,3,5,2,1]
[6,5,3,3,1,2]=>[{5},{6},{3,4},{2},{1}]=>[5,6,3,4,2,1]
[6,5,3,3,2,1]=>[{6},{5},{3,4},{2},{1}]=>[6,5,3,4,2,1]
[1,2,3,4,4,4]=>[{1},{2},{3},{4,5,6}]=>[1,2,3,4,5,6]
[1,2,4,3,4,4]=>[{1},{2},{4},{3,5,6}]=>[1,2,4,3,5,6]
[1,2,4,4,3,4]=>[{1},{2},{5},{3,4,6}]=>[1,2,5,3,4,6]
[1,2,4,4,4,3]=>[{1},{2},{6},{3,4,5}]=>[1,2,6,3,4,5]
[1,3,2,4,4,4]=>[{1},{3},{2},{4,5,6}]=>[1,3,2,4,5,6]
[1,3,4,2,4,4]=>[{1},{4},{2},{3,5,6}]=>[1,4,2,3,5,6]
[1,3,4,4,2,4]=>[{1},{5},{2},{3,4,6}]=>[1,5,2,3,4,6]
[1,3,4,4,4,2]=>[{1},{6},{2},{3,4,5}]=>[1,6,2,3,4,5]
[1,4,2,3,4,4]=>[{1},{3},{4},{2,5,6}]=>[1,3,4,2,5,6]
[1,4,2,4,3,4]=>[{1},{3},{5},{2,4,6}]=>[1,3,5,2,4,6]
[1,4,2,4,4,3]=>[{1},{3},{6},{2,4,5}]=>[1,3,6,2,4,5]
[1,4,3,2,4,4]=>[{1},{4},{3},{2,5,6}]=>[1,4,3,2,5,6]
[1,4,3,4,2,4]=>[{1},{5},{3},{2,4,6}]=>[1,5,3,2,4,6]
[1,4,3,4,4,2]=>[{1},{6},{3},{2,4,5}]=>[1,6,3,2,4,5]
[1,4,4,2,3,4]=>[{1},{4},{5},{2,3,6}]=>[1,4,5,2,3,6]
[1,4,4,2,4,3]=>[{1},{4},{6},{2,3,5}]=>[1,4,6,2,3,5]
[1,4,4,3,2,4]=>[{1},{5},{4},{2,3,6}]=>[1,5,4,2,3,6]
[1,4,4,3,4,2]=>[{1},{6},{4},{2,3,5}]=>[1,6,4,2,3,5]
[1,4,4,4,2,3]=>[{1},{5},{6},{2,3,4}]=>[1,5,6,2,3,4]
[1,4,4,4,3,2]=>[{1},{6},{5},{2,3,4}]=>[1,6,5,2,3,4]
[2,1,3,4,4,4]=>[{2},{1},{3},{4,5,6}]=>[2,1,3,4,5,6]
[2,1,4,3,4,4]=>[{2},{1},{4},{3,5,6}]=>[2,1,4,3,5,6]
[2,1,4,4,3,4]=>[{2},{1},{5},{3,4,6}]=>[2,1,5,3,4,6]
[2,1,4,4,4,3]=>[{2},{1},{6},{3,4,5}]=>[2,1,6,3,4,5]
[2,3,1,4,4,4]=>[{3},{1},{2},{4,5,6}]=>[3,1,2,4,5,6]
[2,3,4,1,4,4]=>[{4},{1},{2},{3,5,6}]=>[4,1,2,3,5,6]
[2,3,4,4,1,4]=>[{5},{1},{2},{3,4,6}]=>[5,1,2,3,4,6]
[2,3,4,4,4,1]=>[{6},{1},{2},{3,4,5}]=>[6,1,2,3,4,5]
[2,4,1,3,4,4]=>[{3},{1},{4},{2,5,6}]=>[3,1,4,2,5,6]
[2,4,1,4,3,4]=>[{3},{1},{5},{2,4,6}]=>[3,1,5,2,4,6]
[2,4,1,4,4,3]=>[{3},{1},{6},{2,4,5}]=>[3,1,6,2,4,5]
[2,4,3,1,4,4]=>[{4},{1},{3},{2,5,6}]=>[4,1,3,2,5,6]
[2,4,3,4,1,4]=>[{5},{1},{3},{2,4,6}]=>[5,1,3,2,4,6]
[2,4,3,4,4,1]=>[{6},{1},{3},{2,4,5}]=>[6,1,3,2,4,5]
[2,4,4,1,3,4]=>[{4},{1},{5},{2,3,6}]=>[4,1,5,2,3,6]
[2,4,4,1,4,3]=>[{4},{1},{6},{2,3,5}]=>[4,1,6,2,3,5]
[2,4,4,3,1,4]=>[{5},{1},{4},{2,3,6}]=>[5,1,4,2,3,6]
[2,4,4,3,4,1]=>[{6},{1},{4},{2,3,5}]=>[6,1,4,2,3,5]
[2,4,4,4,1,3]=>[{5},{1},{6},{2,3,4}]=>[5,1,6,2,3,4]
[2,4,4,4,3,1]=>[{6},{1},{5},{2,3,4}]=>[6,1,5,2,3,4]
[3,1,2,4,4,4]=>[{2},{3},{1},{4,5,6}]=>[2,3,1,4,5,6]
[3,1,4,2,4,4]=>[{2},{4},{1},{3,5,6}]=>[2,4,1,3,5,6]
[3,1,4,4,2,4]=>[{2},{5},{1},{3,4,6}]=>[2,5,1,3,4,6]
[3,1,4,4,4,2]=>[{2},{6},{1},{3,4,5}]=>[2,6,1,3,4,5]
[3,2,1,4,4,4]=>[{3},{2},{1},{4,5,6}]=>[3,2,1,4,5,6]
[3,2,4,1,4,4]=>[{4},{2},{1},{3,5,6}]=>[4,2,1,3,5,6]
[3,2,4,4,1,4]=>[{5},{2},{1},{3,4,6}]=>[5,2,1,3,4,6]
[3,2,4,4,4,1]=>[{6},{2},{1},{3,4,5}]=>[6,2,1,3,4,5]
[3,4,1,2,4,4]=>[{3},{4},{1},{2,5,6}]=>[3,4,1,2,5,6]
[3,4,1,4,2,4]=>[{3},{5},{1},{2,4,6}]=>[3,5,1,2,4,6]
[3,4,1,4,4,2]=>[{3},{6},{1},{2,4,5}]=>[3,6,1,2,4,5]
[3,4,2,1,4,4]=>[{4},{3},{1},{2,5,6}]=>[4,3,1,2,5,6]
[3,4,2,4,1,4]=>[{5},{3},{1},{2,4,6}]=>[5,3,1,2,4,6]
[3,4,2,4,4,1]=>[{6},{3},{1},{2,4,5}]=>[6,3,1,2,4,5]
[3,4,4,1,2,4]=>[{4},{5},{1},{2,3,6}]=>[4,5,1,2,3,6]
[3,4,4,1,4,2]=>[{4},{6},{1},{2,3,5}]=>[4,6,1,2,3,5]
[3,4,4,2,1,4]=>[{5},{4},{1},{2,3,6}]=>[5,4,1,2,3,6]
[3,4,4,2,4,1]=>[{6},{4},{1},{2,3,5}]=>[6,4,1,2,3,5]
[3,4,4,4,1,2]=>[{5},{6},{1},{2,3,4}]=>[5,6,1,2,3,4]
[3,4,4,4,2,1]=>[{6},{5},{1},{2,3,4}]=>[6,5,1,2,3,4]
[4,1,2,3,4,4]=>[{2},{3},{4},{1,5,6}]=>[2,3,4,1,5,6]
[4,1,2,4,3,4]=>[{2},{3},{5},{1,4,6}]=>[2,3,5,1,4,6]
[4,1,2,4,4,3]=>[{2},{3},{6},{1,4,5}]=>[2,3,6,1,4,5]
[4,1,3,2,4,4]=>[{2},{4},{3},{1,5,6}]=>[2,4,3,1,5,6]
[4,1,3,4,2,4]=>[{2},{5},{3},{1,4,6}]=>[2,5,3,1,4,6]
[4,1,3,4,4,2]=>[{2},{6},{3},{1,4,5}]=>[2,6,3,1,4,5]
[4,1,4,2,3,4]=>[{2},{4},{5},{1,3,6}]=>[2,4,5,1,3,6]
[4,1,4,2,4,3]=>[{2},{4},{6},{1,3,5}]=>[2,4,6,1,3,5]
[4,1,4,3,2,4]=>[{2},{5},{4},{1,3,6}]=>[2,5,4,1,3,6]
[4,1,4,3,4,2]=>[{2},{6},{4},{1,3,5}]=>[2,6,4,1,3,5]
[4,1,4,4,2,3]=>[{2},{5},{6},{1,3,4}]=>[2,5,6,1,3,4]
[4,1,4,4,3,2]=>[{2},{6},{5},{1,3,4}]=>[2,6,5,1,3,4]
[4,2,1,3,4,4]=>[{3},{2},{4},{1,5,6}]=>[3,2,4,1,5,6]
[4,2,1,4,3,4]=>[{3},{2},{5},{1,4,6}]=>[3,2,5,1,4,6]
[4,2,1,4,4,3]=>[{3},{2},{6},{1,4,5}]=>[3,2,6,1,4,5]
[4,2,3,1,4,4]=>[{4},{2},{3},{1,5,6}]=>[4,2,3,1,5,6]
[4,2,3,4,1,4]=>[{5},{2},{3},{1,4,6}]=>[5,2,3,1,4,6]
[4,2,3,4,4,1]=>[{6},{2},{3},{1,4,5}]=>[6,2,3,1,4,5]
[4,2,4,1,3,4]=>[{4},{2},{5},{1,3,6}]=>[4,2,5,1,3,6]
[4,2,4,1,4,3]=>[{4},{2},{6},{1,3,5}]=>[4,2,6,1,3,5]
[4,2,4,3,1,4]=>[{5},{2},{4},{1,3,6}]=>[5,2,4,1,3,6]
[4,2,4,3,4,1]=>[{6},{2},{4},{1,3,5}]=>[6,2,4,1,3,5]
[4,2,4,4,1,3]=>[{5},{2},{6},{1,3,4}]=>[5,2,6,1,3,4]
[4,2,4,4,3,1]=>[{6},{2},{5},{1,3,4}]=>[6,2,5,1,3,4]
[4,3,1,2,4,4]=>[{3},{4},{2},{1,5,6}]=>[3,4,2,1,5,6]
[4,3,1,4,2,4]=>[{3},{5},{2},{1,4,6}]=>[3,5,2,1,4,6]
[4,3,1,4,4,2]=>[{3},{6},{2},{1,4,5}]=>[3,6,2,1,4,5]
[4,3,2,1,4,4]=>[{4},{3},{2},{1,5,6}]=>[4,3,2,1,5,6]
[4,3,2,4,1,4]=>[{5},{3},{2},{1,4,6}]=>[5,3,2,1,4,6]
[4,3,2,4,4,1]=>[{6},{3},{2},{1,4,5}]=>[6,3,2,1,4,5]
[4,3,4,1,2,4]=>[{4},{5},{2},{1,3,6}]=>[4,5,2,1,3,6]
[4,3,4,1,4,2]=>[{4},{6},{2},{1,3,5}]=>[4,6,2,1,3,5]
[4,3,4,2,1,4]=>[{5},{4},{2},{1,3,6}]=>[5,4,2,1,3,6]
[4,3,4,2,4,1]=>[{6},{4},{2},{1,3,5}]=>[6,4,2,1,3,5]
[4,3,4,4,1,2]=>[{5},{6},{2},{1,3,4}]=>[5,6,2,1,3,4]
[4,3,4,4,2,1]=>[{6},{5},{2},{1,3,4}]=>[6,5,2,1,3,4]
[4,4,1,2,3,4]=>[{3},{4},{5},{1,2,6}]=>[3,4,5,1,2,6]
[4,4,1,2,4,3]=>[{3},{4},{6},{1,2,5}]=>[3,4,6,1,2,5]
[4,4,1,3,2,4]=>[{3},{5},{4},{1,2,6}]=>[3,5,4,1,2,6]
[4,4,1,3,4,2]=>[{3},{6},{4},{1,2,5}]=>[3,6,4,1,2,5]
[4,4,1,4,2,3]=>[{3},{5},{6},{1,2,4}]=>[3,5,6,1,2,4]
[4,4,1,4,3,2]=>[{3},{6},{5},{1,2,4}]=>[3,6,5,1,2,4]
[4,4,2,1,3,4]=>[{4},{3},{5},{1,2,6}]=>[4,3,5,1,2,6]
[4,4,2,1,4,3]=>[{4},{3},{6},{1,2,5}]=>[4,3,6,1,2,5]
[4,4,2,3,1,4]=>[{5},{3},{4},{1,2,6}]=>[5,3,4,1,2,6]
[4,4,2,3,4,1]=>[{6},{3},{4},{1,2,5}]=>[6,3,4,1,2,5]
[4,4,2,4,1,3]=>[{5},{3},{6},{1,2,4}]=>[5,3,6,1,2,4]
[4,4,2,4,3,1]=>[{6},{3},{5},{1,2,4}]=>[6,3,5,1,2,4]
[4,4,3,1,2,4]=>[{4},{5},{3},{1,2,6}]=>[4,5,3,1,2,6]
[4,4,3,1,4,2]=>[{4},{6},{3},{1,2,5}]=>[4,6,3,1,2,5]
[4,4,3,2,1,4]=>[{5},{4},{3},{1,2,6}]=>[5,4,3,1,2,6]
[4,4,3,2,4,1]=>[{6},{4},{3},{1,2,5}]=>[6,4,3,1,2,5]
[4,4,3,4,1,2]=>[{5},{6},{3},{1,2,4}]=>[5,6,3,1,2,4]
[4,4,3,4,2,1]=>[{6},{5},{3},{1,2,4}]=>[6,5,3,1,2,4]
[4,4,4,1,2,3]=>[{4},{5},{6},{1,2,3}]=>[4,5,6,1,2,3]
[4,4,4,1,3,2]=>[{4},{6},{5},{1,2,3}]=>[4,6,5,1,2,3]
[4,4,4,2,1,3]=>[{5},{4},{6},{1,2,3}]=>[5,4,6,1,2,3]
[4,4,4,2,3,1]=>[{6},{4},{5},{1,2,3}]=>[6,4,5,1,2,3]
[4,4,4,3,1,2]=>[{5},{6},{4},{1,2,3}]=>[5,6,4,1,2,3]
[4,4,4,3,2,1]=>[{6},{5},{4},{1,2,3}]=>[6,5,4,1,2,3]
[1,2,3,4,4,5]=>[{1},{2},{3},{4,5},{6}]=>[1,2,3,4,5,6]
[1,2,3,4,5,4]=>[{1},{2},{3},{4,6},{5}]=>[1,2,3,4,6,5]
[1,2,3,5,4,4]=>[{1},{2},{3},{5,6},{4}]=>[1,2,3,5,6,4]
[1,2,4,3,4,5]=>[{1},{2},{4},{3,5},{6}]=>[1,2,4,3,5,6]
[1,2,4,3,5,4]=>[{1},{2},{4},{3,6},{5}]=>[1,2,4,3,6,5]
[1,2,4,4,3,5]=>[{1},{2},{5},{3,4},{6}]=>[1,2,5,3,4,6]
[1,2,4,4,5,3]=>[{1},{2},{6},{3,4},{5}]=>[1,2,6,3,4,5]
[1,2,4,5,3,4]=>[{1},{2},{5},{3,6},{4}]=>[1,2,5,3,6,4]
[1,2,4,5,4,3]=>[{1},{2},{6},{3,5},{4}]=>[1,2,6,3,5,4]
[1,2,5,3,4,4]=>[{1},{2},{4},{5,6},{3}]=>[1,2,4,5,6,3]
[1,2,5,4,3,4]=>[{1},{2},{5},{4,6},{3}]=>[1,2,5,4,6,3]
[1,2,5,4,4,3]=>[{1},{2},{6},{4,5},{3}]=>[1,2,6,4,5,3]
[1,3,2,4,4,5]=>[{1},{3},{2},{4,5},{6}]=>[1,3,2,4,5,6]
[1,3,2,4,5,4]=>[{1},{3},{2},{4,6},{5}]=>[1,3,2,4,6,5]
[1,3,2,5,4,4]=>[{1},{3},{2},{5,6},{4}]=>[1,3,2,5,6,4]
[1,3,4,2,4,5]=>[{1},{4},{2},{3,5},{6}]=>[1,4,2,3,5,6]
[1,3,4,2,5,4]=>[{1},{4},{2},{3,6},{5}]=>[1,4,2,3,6,5]
[1,3,4,4,2,5]=>[{1},{5},{2},{3,4},{6}]=>[1,5,2,3,4,6]
[1,3,4,4,5,2]=>[{1},{6},{2},{3,4},{5}]=>[1,6,2,3,4,5]
[1,3,4,5,2,4]=>[{1},{5},{2},{3,6},{4}]=>[1,5,2,3,6,4]
[1,3,4,5,4,2]=>[{1},{6},{2},{3,5},{4}]=>[1,6,2,3,5,4]
[1,3,5,2,4,4]=>[{1},{4},{2},{5,6},{3}]=>[1,4,2,5,6,3]
[1,3,5,4,2,4]=>[{1},{5},{2},{4,6},{3}]=>[1,5,2,4,6,3]
[1,3,5,4,4,2]=>[{1},{6},{2},{4,5},{3}]=>[1,6,2,4,5,3]
[1,4,2,3,4,5]=>[{1},{3},{4},{2,5},{6}]=>[1,3,4,2,5,6]
[1,4,2,3,5,4]=>[{1},{3},{4},{2,6},{5}]=>[1,3,4,2,6,5]
[1,4,2,4,3,5]=>[{1},{3},{5},{2,4},{6}]=>[1,3,5,2,4,6]
[1,4,2,4,5,3]=>[{1},{3},{6},{2,4},{5}]=>[1,3,6,2,4,5]
[1,4,2,5,3,4]=>[{1},{3},{5},{2,6},{4}]=>[1,3,5,2,6,4]
[1,4,2,5,4,3]=>[{1},{3},{6},{2,5},{4}]=>[1,3,6,2,5,4]
[1,4,3,2,4,5]=>[{1},{4},{3},{2,5},{6}]=>[1,4,3,2,5,6]
[1,4,3,2,5,4]=>[{1},{4},{3},{2,6},{5}]=>[1,4,3,2,6,5]
[1,4,3,4,2,5]=>[{1},{5},{3},{2,4},{6}]=>[1,5,3,2,4,6]
[1,4,3,4,5,2]=>[{1},{6},{3},{2,4},{5}]=>[1,6,3,2,4,5]
[1,4,3,5,2,4]=>[{1},{5},{3},{2,6},{4}]=>[1,5,3,2,6,4]
[1,4,3,5,4,2]=>[{1},{6},{3},{2,5},{4}]=>[1,6,3,2,5,4]
[1,4,4,2,3,5]=>[{1},{4},{5},{2,3},{6}]=>[1,4,5,2,3,6]
[1,4,4,2,5,3]=>[{1},{4},{6},{2,3},{5}]=>[1,4,6,2,3,5]
[1,4,4,3,2,5]=>[{1},{5},{4},{2,3},{6}]=>[1,5,4,2,3,6]
[1,4,4,3,5,2]=>[{1},{6},{4},{2,3},{5}]=>[1,6,4,2,3,5]
[1,4,4,5,2,3]=>[{1},{5},{6},{2,3},{4}]=>[1,5,6,2,3,4]
[1,4,4,5,3,2]=>[{1},{6},{5},{2,3},{4}]=>[1,6,5,2,3,4]
[1,4,5,2,3,4]=>[{1},{4},{5},{2,6},{3}]=>[1,4,5,2,6,3]
[1,4,5,2,4,3]=>[{1},{4},{6},{2,5},{3}]=>[1,4,6,2,5,3]
[1,4,5,3,2,4]=>[{1},{5},{4},{2,6},{3}]=>[1,5,4,2,6,3]
[1,4,5,3,4,2]=>[{1},{6},{4},{2,5},{3}]=>[1,6,4,2,5,3]
[1,4,5,4,2,3]=>[{1},{5},{6},{2,4},{3}]=>[1,5,6,2,4,3]
[1,4,5,4,3,2]=>[{1},{6},{5},{2,4},{3}]=>[1,6,5,2,4,3]
[1,5,2,3,4,4]=>[{1},{3},{4},{5,6},{2}]=>[1,3,4,5,6,2]
[1,5,2,4,3,4]=>[{1},{3},{5},{4,6},{2}]=>[1,3,5,4,6,2]
[1,5,2,4,4,3]=>[{1},{3},{6},{4,5},{2}]=>[1,3,6,4,5,2]
[1,5,3,2,4,4]=>[{1},{4},{3},{5,6},{2}]=>[1,4,3,5,6,2]
[1,5,3,4,2,4]=>[{1},{5},{3},{4,6},{2}]=>[1,5,3,4,6,2]
[1,5,3,4,4,2]=>[{1},{6},{3},{4,5},{2}]=>[1,6,3,4,5,2]
[1,5,4,2,3,4]=>[{1},{4},{5},{3,6},{2}]=>[1,4,5,3,6,2]
[1,5,4,2,4,3]=>[{1},{4},{6},{3,5},{2}]=>[1,4,6,3,5,2]
[1,5,4,3,2,4]=>[{1},{5},{4},{3,6},{2}]=>[1,5,4,3,6,2]
[1,5,4,3,4,2]=>[{1},{6},{4},{3,5},{2}]=>[1,6,4,3,5,2]
[1,5,4,4,2,3]=>[{1},{5},{6},{3,4},{2}]=>[1,5,6,3,4,2]
[1,5,4,4,3,2]=>[{1},{6},{5},{3,4},{2}]=>[1,6,5,3,4,2]
[2,1,3,4,4,5]=>[{2},{1},{3},{4,5},{6}]=>[2,1,3,4,5,6]
[2,1,3,4,5,4]=>[{2},{1},{3},{4,6},{5}]=>[2,1,3,4,6,5]
[2,1,3,5,4,4]=>[{2},{1},{3},{5,6},{4}]=>[2,1,3,5,6,4]
[2,1,4,3,4,5]=>[{2},{1},{4},{3,5},{6}]=>[2,1,4,3,5,6]
[2,1,4,3,5,4]=>[{2},{1},{4},{3,6},{5}]=>[2,1,4,3,6,5]
[2,1,4,4,3,5]=>[{2},{1},{5},{3,4},{6}]=>[2,1,5,3,4,6]
[2,1,4,4,5,3]=>[{2},{1},{6},{3,4},{5}]=>[2,1,6,3,4,5]
[2,1,4,5,3,4]=>[{2},{1},{5},{3,6},{4}]=>[2,1,5,3,6,4]
[2,1,4,5,4,3]=>[{2},{1},{6},{3,5},{4}]=>[2,1,6,3,5,4]
[2,1,5,3,4,4]=>[{2},{1},{4},{5,6},{3}]=>[2,1,4,5,6,3]
[2,1,5,4,3,4]=>[{2},{1},{5},{4,6},{3}]=>[2,1,5,4,6,3]
[2,1,5,4,4,3]=>[{2},{1},{6},{4,5},{3}]=>[2,1,6,4,5,3]
[2,3,1,4,4,5]=>[{3},{1},{2},{4,5},{6}]=>[3,1,2,4,5,6]
[2,3,1,4,5,4]=>[{3},{1},{2},{4,6},{5}]=>[3,1,2,4,6,5]
[2,3,1,5,4,4]=>[{3},{1},{2},{5,6},{4}]=>[3,1,2,5,6,4]
[2,3,4,1,4,5]=>[{4},{1},{2},{3,5},{6}]=>[4,1,2,3,5,6]
[2,3,4,1,5,4]=>[{4},{1},{2},{3,6},{5}]=>[4,1,2,3,6,5]
[2,3,4,4,1,5]=>[{5},{1},{2},{3,4},{6}]=>[5,1,2,3,4,6]
[2,3,4,4,5,1]=>[{6},{1},{2},{3,4},{5}]=>[6,1,2,3,4,5]
[2,3,4,5,1,4]=>[{5},{1},{2},{3,6},{4}]=>[5,1,2,3,6,4]
[2,3,4,5,4,1]=>[{6},{1},{2},{3,5},{4}]=>[6,1,2,3,5,4]
[2,3,5,1,4,4]=>[{4},{1},{2},{5,6},{3}]=>[4,1,2,5,6,3]
[2,3,5,4,1,4]=>[{5},{1},{2},{4,6},{3}]=>[5,1,2,4,6,3]
[2,3,5,4,4,1]=>[{6},{1},{2},{4,5},{3}]=>[6,1,2,4,5,3]
[2,4,1,3,4,5]=>[{3},{1},{4},{2,5},{6}]=>[3,1,4,2,5,6]
[2,4,1,3,5,4]=>[{3},{1},{4},{2,6},{5}]=>[3,1,4,2,6,5]
[2,4,1,4,3,5]=>[{3},{1},{5},{2,4},{6}]=>[3,1,5,2,4,6]
[2,4,1,4,5,3]=>[{3},{1},{6},{2,4},{5}]=>[3,1,6,2,4,5]
[2,4,1,5,3,4]=>[{3},{1},{5},{2,6},{4}]=>[3,1,5,2,6,4]
[2,4,1,5,4,3]=>[{3},{1},{6},{2,5},{4}]=>[3,1,6,2,5,4]
[2,4,3,1,4,5]=>[{4},{1},{3},{2,5},{6}]=>[4,1,3,2,5,6]
[2,4,3,1,5,4]=>[{4},{1},{3},{2,6},{5}]=>[4,1,3,2,6,5]
[2,4,3,4,1,5]=>[{5},{1},{3},{2,4},{6}]=>[5,1,3,2,4,6]
[2,4,3,4,5,1]=>[{6},{1},{3},{2,4},{5}]=>[6,1,3,2,4,5]
[2,4,3,5,1,4]=>[{5},{1},{3},{2,6},{4}]=>[5,1,3,2,6,4]
[2,4,3,5,4,1]=>[{6},{1},{3},{2,5},{4}]=>[6,1,3,2,5,4]
[2,4,4,1,3,5]=>[{4},{1},{5},{2,3},{6}]=>[4,1,5,2,3,6]
[2,4,4,1,5,3]=>[{4},{1},{6},{2,3},{5}]=>[4,1,6,2,3,5]
[2,4,4,3,1,5]=>[{5},{1},{4},{2,3},{6}]=>[5,1,4,2,3,6]
[2,4,4,3,5,1]=>[{6},{1},{4},{2,3},{5}]=>[6,1,4,2,3,5]
[2,4,4,5,1,3]=>[{5},{1},{6},{2,3},{4}]=>[5,1,6,2,3,4]
[2,4,4,5,3,1]=>[{6},{1},{5},{2,3},{4}]=>[6,1,5,2,3,4]
[2,4,5,1,3,4]=>[{4},{1},{5},{2,6},{3}]=>[4,1,5,2,6,3]
[2,4,5,1,4,3]=>[{4},{1},{6},{2,5},{3}]=>[4,1,6,2,5,3]
[2,4,5,3,1,4]=>[{5},{1},{4},{2,6},{3}]=>[5,1,4,2,6,3]
[2,4,5,3,4,1]=>[{6},{1},{4},{2,5},{3}]=>[6,1,4,2,5,3]
[2,4,5,4,1,3]=>[{5},{1},{6},{2,4},{3}]=>[5,1,6,2,4,3]
[2,4,5,4,3,1]=>[{6},{1},{5},{2,4},{3}]=>[6,1,5,2,4,3]
[2,5,1,3,4,4]=>[{3},{1},{4},{5,6},{2}]=>[3,1,4,5,6,2]
[2,5,1,4,3,4]=>[{3},{1},{5},{4,6},{2}]=>[3,1,5,4,6,2]
[2,5,1,4,4,3]=>[{3},{1},{6},{4,5},{2}]=>[3,1,6,4,5,2]
[2,5,3,1,4,4]=>[{4},{1},{3},{5,6},{2}]=>[4,1,3,5,6,2]
[2,5,3,4,1,4]=>[{5},{1},{3},{4,6},{2}]=>[5,1,3,4,6,2]
[2,5,3,4,4,1]=>[{6},{1},{3},{4,5},{2}]=>[6,1,3,4,5,2]
[2,5,4,1,3,4]=>[{4},{1},{5},{3,6},{2}]=>[4,1,5,3,6,2]
[2,5,4,1,4,3]=>[{4},{1},{6},{3,5},{2}]=>[4,1,6,3,5,2]
[2,5,4,3,1,4]=>[{5},{1},{4},{3,6},{2}]=>[5,1,4,3,6,2]
[2,5,4,3,4,1]=>[{6},{1},{4},{3,5},{2}]=>[6,1,4,3,5,2]
[2,5,4,4,1,3]=>[{5},{1},{6},{3,4},{2}]=>[5,1,6,3,4,2]
[2,5,4,4,3,1]=>[{6},{1},{5},{3,4},{2}]=>[6,1,5,3,4,2]
[3,1,2,4,4,5]=>[{2},{3},{1},{4,5},{6}]=>[2,3,1,4,5,6]
[3,1,2,4,5,4]=>[{2},{3},{1},{4,6},{5}]=>[2,3,1,4,6,5]
[3,1,2,5,4,4]=>[{2},{3},{1},{5,6},{4}]=>[2,3,1,5,6,4]
[3,1,4,2,4,5]=>[{2},{4},{1},{3,5},{6}]=>[2,4,1,3,5,6]
[3,1,4,2,5,4]=>[{2},{4},{1},{3,6},{5}]=>[2,4,1,3,6,5]
[3,1,4,4,2,5]=>[{2},{5},{1},{3,4},{6}]=>[2,5,1,3,4,6]
[3,1,4,4,5,2]=>[{2},{6},{1},{3,4},{5}]=>[2,6,1,3,4,5]
[3,1,4,5,2,4]=>[{2},{5},{1},{3,6},{4}]=>[2,5,1,3,6,4]
[3,1,4,5,4,2]=>[{2},{6},{1},{3,5},{4}]=>[2,6,1,3,5,4]
[3,1,5,2,4,4]=>[{2},{4},{1},{5,6},{3}]=>[2,4,1,5,6,3]
[3,1,5,4,2,4]=>[{2},{5},{1},{4,6},{3}]=>[2,5,1,4,6,3]
[3,1,5,4,4,2]=>[{2},{6},{1},{4,5},{3}]=>[2,6,1,4,5,3]
[3,2,1,4,4,5]=>[{3},{2},{1},{4,5},{6}]=>[3,2,1,4,5,6]
[3,2,1,4,5,4]=>[{3},{2},{1},{4,6},{5}]=>[3,2,1,4,6,5]
[3,2,1,5,4,4]=>[{3},{2},{1},{5,6},{4}]=>[3,2,1,5,6,4]
[3,2,4,1,4,5]=>[{4},{2},{1},{3,5},{6}]=>[4,2,1,3,5,6]
[3,2,4,1,5,4]=>[{4},{2},{1},{3,6},{5}]=>[4,2,1,3,6,5]
[3,2,4,4,1,5]=>[{5},{2},{1},{3,4},{6}]=>[5,2,1,3,4,6]
[3,2,4,4,5,1]=>[{6},{2},{1},{3,4},{5}]=>[6,2,1,3,4,5]
[3,2,4,5,1,4]=>[{5},{2},{1},{3,6},{4}]=>[5,2,1,3,6,4]
[3,2,4,5,4,1]=>[{6},{2},{1},{3,5},{4}]=>[6,2,1,3,5,4]
[3,2,5,1,4,4]=>[{4},{2},{1},{5,6},{3}]=>[4,2,1,5,6,3]
[3,2,5,4,1,4]=>[{5},{2},{1},{4,6},{3}]=>[5,2,1,4,6,3]
[3,2,5,4,4,1]=>[{6},{2},{1},{4,5},{3}]=>[6,2,1,4,5,3]
[3,4,1,2,4,5]=>[{3},{4},{1},{2,5},{6}]=>[3,4,1,2,5,6]
[3,4,1,2,5,4]=>[{3},{4},{1},{2,6},{5}]=>[3,4,1,2,6,5]
[3,4,1,4,2,5]=>[{3},{5},{1},{2,4},{6}]=>[3,5,1,2,4,6]
[3,4,1,4,5,2]=>[{3},{6},{1},{2,4},{5}]=>[3,6,1,2,4,5]
[3,4,1,5,2,4]=>[{3},{5},{1},{2,6},{4}]=>[3,5,1,2,6,4]
[3,4,1,5,4,2]=>[{3},{6},{1},{2,5},{4}]=>[3,6,1,2,5,4]
[3,4,2,1,4,5]=>[{4},{3},{1},{2,5},{6}]=>[4,3,1,2,5,6]
[3,4,2,1,5,4]=>[{4},{3},{1},{2,6},{5}]=>[4,3,1,2,6,5]
[3,4,2,4,1,5]=>[{5},{3},{1},{2,4},{6}]=>[5,3,1,2,4,6]
[3,4,2,4,5,1]=>[{6},{3},{1},{2,4},{5}]=>[6,3,1,2,4,5]
[3,4,2,5,1,4]=>[{5},{3},{1},{2,6},{4}]=>[5,3,1,2,6,4]
[3,4,2,5,4,1]=>[{6},{3},{1},{2,5},{4}]=>[6,3,1,2,5,4]
[3,4,4,1,2,5]=>[{4},{5},{1},{2,3},{6}]=>[4,5,1,2,3,6]
[3,4,4,1,5,2]=>[{4},{6},{1},{2,3},{5}]=>[4,6,1,2,3,5]
[3,4,4,2,1,5]=>[{5},{4},{1},{2,3},{6}]=>[5,4,1,2,3,6]
[3,4,4,2,5,1]=>[{6},{4},{1},{2,3},{5}]=>[6,4,1,2,3,5]
[3,4,4,5,1,2]=>[{5},{6},{1},{2,3},{4}]=>[5,6,1,2,3,4]
[3,4,4,5,2,1]=>[{6},{5},{1},{2,3},{4}]=>[6,5,1,2,3,4]
[3,4,5,1,2,4]=>[{4},{5},{1},{2,6},{3}]=>[4,5,1,2,6,3]
[3,4,5,1,4,2]=>[{4},{6},{1},{2,5},{3}]=>[4,6,1,2,5,3]
[3,4,5,2,1,4]=>[{5},{4},{1},{2,6},{3}]=>[5,4,1,2,6,3]
[3,4,5,2,4,1]=>[{6},{4},{1},{2,5},{3}]=>[6,4,1,2,5,3]
[3,4,5,4,1,2]=>[{5},{6},{1},{2,4},{3}]=>[5,6,1,2,4,3]
[3,4,5,4,2,1]=>[{6},{5},{1},{2,4},{3}]=>[6,5,1,2,4,3]
[3,5,1,2,4,4]=>[{3},{4},{1},{5,6},{2}]=>[3,4,1,5,6,2]
[3,5,1,4,2,4]=>[{3},{5},{1},{4,6},{2}]=>[3,5,1,4,6,2]
[3,5,1,4,4,2]=>[{3},{6},{1},{4,5},{2}]=>[3,6,1,4,5,2]
[3,5,2,1,4,4]=>[{4},{3},{1},{5,6},{2}]=>[4,3,1,5,6,2]
[3,5,2,4,1,4]=>[{5},{3},{1},{4,6},{2}]=>[5,3,1,4,6,2]
[3,5,2,4,4,1]=>[{6},{3},{1},{4,5},{2}]=>[6,3,1,4,5,2]
[3,5,4,1,2,4]=>[{4},{5},{1},{3,6},{2}]=>[4,5,1,3,6,2]
[3,5,4,1,4,2]=>[{4},{6},{1},{3,5},{2}]=>[4,6,1,3,5,2]
[3,5,4,2,1,4]=>[{5},{4},{1},{3,6},{2}]=>[5,4,1,3,6,2]
[3,5,4,2,4,1]=>[{6},{4},{1},{3,5},{2}]=>[6,4,1,3,5,2]
[3,5,4,4,1,2]=>[{5},{6},{1},{3,4},{2}]=>[5,6,1,3,4,2]
[3,5,4,4,2,1]=>[{6},{5},{1},{3,4},{2}]=>[6,5,1,3,4,2]
[4,1,2,3,4,5]=>[{2},{3},{4},{1,5},{6}]=>[2,3,4,1,5,6]
[4,1,2,3,5,4]=>[{2},{3},{4},{1,6},{5}]=>[2,3,4,1,6,5]
[4,1,2,4,3,5]=>[{2},{3},{5},{1,4},{6}]=>[2,3,5,1,4,6]
[4,1,2,4,5,3]=>[{2},{3},{6},{1,4},{5}]=>[2,3,6,1,4,5]
[4,1,2,5,3,4]=>[{2},{3},{5},{1,6},{4}]=>[2,3,5,1,6,4]
[4,1,2,5,4,3]=>[{2},{3},{6},{1,5},{4}]=>[2,3,6,1,5,4]
[4,1,3,2,4,5]=>[{2},{4},{3},{1,5},{6}]=>[2,4,3,1,5,6]
[4,1,3,2,5,4]=>[{2},{4},{3},{1,6},{5}]=>[2,4,3,1,6,5]
[4,1,3,4,2,5]=>[{2},{5},{3},{1,4},{6}]=>[2,5,3,1,4,6]
[4,1,3,4,5,2]=>[{2},{6},{3},{1,4},{5}]=>[2,6,3,1,4,5]
[4,1,3,5,2,4]=>[{2},{5},{3},{1,6},{4}]=>[2,5,3,1,6,4]
[4,1,3,5,4,2]=>[{2},{6},{3},{1,5},{4}]=>[2,6,3,1,5,4]
[4,1,4,2,3,5]=>[{2},{4},{5},{1,3},{6}]=>[2,4,5,1,3,6]
[4,1,4,2,5,3]=>[{2},{4},{6},{1,3},{5}]=>[2,4,6,1,3,5]
[4,1,4,3,2,5]=>[{2},{5},{4},{1,3},{6}]=>[2,5,4,1,3,6]
[4,1,4,3,5,2]=>[{2},{6},{4},{1,3},{5}]=>[2,6,4,1,3,5]
[4,1,4,5,2,3]=>[{2},{5},{6},{1,3},{4}]=>[2,5,6,1,3,4]
[4,1,4,5,3,2]=>[{2},{6},{5},{1,3},{4}]=>[2,6,5,1,3,4]
[4,1,5,2,3,4]=>[{2},{4},{5},{1,6},{3}]=>[2,4,5,1,6,3]
[4,1,5,2,4,3]=>[{2},{4},{6},{1,5},{3}]=>[2,4,6,1,5,3]
[4,1,5,3,2,4]=>[{2},{5},{4},{1,6},{3}]=>[2,5,4,1,6,3]
[4,1,5,3,4,2]=>[{2},{6},{4},{1,5},{3}]=>[2,6,4,1,5,3]
[4,1,5,4,2,3]=>[{2},{5},{6},{1,4},{3}]=>[2,5,6,1,4,3]
[4,1,5,4,3,2]=>[{2},{6},{5},{1,4},{3}]=>[2,6,5,1,4,3]
[4,2,1,3,4,5]=>[{3},{2},{4},{1,5},{6}]=>[3,2,4,1,5,6]
[4,2,1,3,5,4]=>[{3},{2},{4},{1,6},{5}]=>[3,2,4,1,6,5]
[4,2,1,4,3,5]=>[{3},{2},{5},{1,4},{6}]=>[3,2,5,1,4,6]
[4,2,1,4,5,3]=>[{3},{2},{6},{1,4},{5}]=>[3,2,6,1,4,5]
[4,2,1,5,3,4]=>[{3},{2},{5},{1,6},{4}]=>[3,2,5,1,6,4]
[4,2,1,5,4,3]=>[{3},{2},{6},{1,5},{4}]=>[3,2,6,1,5,4]
[4,2,3,1,4,5]=>[{4},{2},{3},{1,5},{6}]=>[4,2,3,1,5,6]
[4,2,3,1,5,4]=>[{4},{2},{3},{1,6},{5}]=>[4,2,3,1,6,5]
[4,2,3,4,1,5]=>[{5},{2},{3},{1,4},{6}]=>[5,2,3,1,4,6]
[4,2,3,4,5,1]=>[{6},{2},{3},{1,4},{5}]=>[6,2,3,1,4,5]
[4,2,3,5,1,4]=>[{5},{2},{3},{1,6},{4}]=>[5,2,3,1,6,4]
[4,2,3,5,4,1]=>[{6},{2},{3},{1,5},{4}]=>[6,2,3,1,5,4]
[4,2,4,1,3,5]=>[{4},{2},{5},{1,3},{6}]=>[4,2,5,1,3,6]
[4,2,4,1,5,3]=>[{4},{2},{6},{1,3},{5}]=>[4,2,6,1,3,5]
[4,2,4,3,1,5]=>[{5},{2},{4},{1,3},{6}]=>[5,2,4,1,3,6]
[4,2,4,3,5,1]=>[{6},{2},{4},{1,3},{5}]=>[6,2,4,1,3,5]
[4,2,4,5,1,3]=>[{5},{2},{6},{1,3},{4}]=>[5,2,6,1,3,4]
[4,2,4,5,3,1]=>[{6},{2},{5},{1,3},{4}]=>[6,2,5,1,3,4]
[4,2,5,1,3,4]=>[{4},{2},{5},{1,6},{3}]=>[4,2,5,1,6,3]
[4,2,5,1,4,3]=>[{4},{2},{6},{1,5},{3}]=>[4,2,6,1,5,3]
[4,2,5,3,1,4]=>[{5},{2},{4},{1,6},{3}]=>[5,2,4,1,6,3]
[4,2,5,3,4,1]=>[{6},{2},{4},{1,5},{3}]=>[6,2,4,1,5,3]
[4,2,5,4,1,3]=>[{5},{2},{6},{1,4},{3}]=>[5,2,6,1,4,3]
[4,2,5,4,3,1]=>[{6},{2},{5},{1,4},{3}]=>[6,2,5,1,4,3]
[4,3,1,2,4,5]=>[{3},{4},{2},{1,5},{6}]=>[3,4,2,1,5,6]
[4,3,1,2,5,4]=>[{3},{4},{2},{1,6},{5}]=>[3,4,2,1,6,5]
[4,3,1,4,2,5]=>[{3},{5},{2},{1,4},{6}]=>[3,5,2,1,4,6]
[4,3,1,4,5,2]=>[{3},{6},{2},{1,4},{5}]=>[3,6,2,1,4,5]
[4,3,1,5,2,4]=>[{3},{5},{2},{1,6},{4}]=>[3,5,2,1,6,4]
[4,3,1,5,4,2]=>[{3},{6},{2},{1,5},{4}]=>[3,6,2,1,5,4]
[4,3,2,1,4,5]=>[{4},{3},{2},{1,5},{6}]=>[4,3,2,1,5,6]
[4,3,2,1,5,4]=>[{4},{3},{2},{1,6},{5}]=>[4,3,2,1,6,5]
[4,3,2,4,1,5]=>[{5},{3},{2},{1,4},{6}]=>[5,3,2,1,4,6]
[4,3,2,4,5,1]=>[{6},{3},{2},{1,4},{5}]=>[6,3,2,1,4,5]
[4,3,2,5,1,4]=>[{5},{3},{2},{1,6},{4}]=>[5,3,2,1,6,4]
[4,3,2,5,4,1]=>[{6},{3},{2},{1,5},{4}]=>[6,3,2,1,5,4]
[4,3,4,1,2,5]=>[{4},{5},{2},{1,3},{6}]=>[4,5,2,1,3,6]
[4,3,4,1,5,2]=>[{4},{6},{2},{1,3},{5}]=>[4,6,2,1,3,5]
[4,3,4,2,1,5]=>[{5},{4},{2},{1,3},{6}]=>[5,4,2,1,3,6]
[4,3,4,2,5,1]=>[{6},{4},{2},{1,3},{5}]=>[6,4,2,1,3,5]
[4,3,4,5,1,2]=>[{5},{6},{2},{1,3},{4}]=>[5,6,2,1,3,4]
[4,3,4,5,2,1]=>[{6},{5},{2},{1,3},{4}]=>[6,5,2,1,3,4]
[4,3,5,1,2,4]=>[{4},{5},{2},{1,6},{3}]=>[4,5,2,1,6,3]
[4,3,5,1,4,2]=>[{4},{6},{2},{1,5},{3}]=>[4,6,2,1,5,3]
[4,3,5,2,1,4]=>[{5},{4},{2},{1,6},{3}]=>[5,4,2,1,6,3]
[4,3,5,2,4,1]=>[{6},{4},{2},{1,5},{3}]=>[6,4,2,1,5,3]
[4,3,5,4,1,2]=>[{5},{6},{2},{1,4},{3}]=>[5,6,2,1,4,3]
[4,3,5,4,2,1]=>[{6},{5},{2},{1,4},{3}]=>[6,5,2,1,4,3]
[4,4,1,2,3,5]=>[{3},{4},{5},{1,2},{6}]=>[3,4,5,1,2,6]
[4,4,1,2,5,3]=>[{3},{4},{6},{1,2},{5}]=>[3,4,6,1,2,5]
[4,4,1,3,2,5]=>[{3},{5},{4},{1,2},{6}]=>[3,5,4,1,2,6]
[4,4,1,3,5,2]=>[{3},{6},{4},{1,2},{5}]=>[3,6,4,1,2,5]
[4,4,1,5,2,3]=>[{3},{5},{6},{1,2},{4}]=>[3,5,6,1,2,4]
[4,4,1,5,3,2]=>[{3},{6},{5},{1,2},{4}]=>[3,6,5,1,2,4]
[4,4,2,1,3,5]=>[{4},{3},{5},{1,2},{6}]=>[4,3,5,1,2,6]
[4,4,2,1,5,3]=>[{4},{3},{6},{1,2},{5}]=>[4,3,6,1,2,5]
[4,4,2,3,1,5]=>[{5},{3},{4},{1,2},{6}]=>[5,3,4,1,2,6]
[4,4,2,3,5,1]=>[{6},{3},{4},{1,2},{5}]=>[6,3,4,1,2,5]
[4,4,2,5,1,3]=>[{5},{3},{6},{1,2},{4}]=>[5,3,6,1,2,4]
[4,4,2,5,3,1]=>[{6},{3},{5},{1,2},{4}]=>[6,3,5,1,2,4]
[4,4,3,1,2,5]=>[{4},{5},{3},{1,2},{6}]=>[4,5,3,1,2,6]
[4,4,3,1,5,2]=>[{4},{6},{3},{1,2},{5}]=>[4,6,3,1,2,5]
[4,4,3,2,1,5]=>[{5},{4},{3},{1,2},{6}]=>[5,4,3,1,2,6]
[4,4,3,2,5,1]=>[{6},{4},{3},{1,2},{5}]=>[6,4,3,1,2,5]
[4,4,3,5,1,2]=>[{5},{6},{3},{1,2},{4}]=>[5,6,3,1,2,4]
[4,4,3,5,2,1]=>[{6},{5},{3},{1,2},{4}]=>[6,5,3,1,2,4]
[4,4,5,1,2,3]=>[{4},{5},{6},{1,2},{3}]=>[4,5,6,1,2,3]
[4,4,5,1,3,2]=>[{4},{6},{5},{1,2},{3}]=>[4,6,5,1,2,3]
[4,4,5,2,1,3]=>[{5},{4},{6},{1,2},{3}]=>[5,4,6,1,2,3]
[4,4,5,2,3,1]=>[{6},{4},{5},{1,2},{3}]=>[6,4,5,1,2,3]
[4,4,5,3,1,2]=>[{5},{6},{4},{1,2},{3}]=>[5,6,4,1,2,3]
[4,4,5,3,2,1]=>[{6},{5},{4},{1,2},{3}]=>[6,5,4,1,2,3]
[4,5,1,2,3,4]=>[{3},{4},{5},{1,6},{2}]=>[3,4,5,1,6,2]
[4,5,1,2,4,3]=>[{3},{4},{6},{1,5},{2}]=>[3,4,6,1,5,2]
[4,5,1,3,2,4]=>[{3},{5},{4},{1,6},{2}]=>[3,5,4,1,6,2]
[4,5,1,3,4,2]=>[{3},{6},{4},{1,5},{2}]=>[3,6,4,1,5,2]
[4,5,1,4,2,3]=>[{3},{5},{6},{1,4},{2}]=>[3,5,6,1,4,2]
[4,5,1,4,3,2]=>[{3},{6},{5},{1,4},{2}]=>[3,6,5,1,4,2]
[4,5,2,1,3,4]=>[{4},{3},{5},{1,6},{2}]=>[4,3,5,1,6,2]
[4,5,2,1,4,3]=>[{4},{3},{6},{1,5},{2}]=>[4,3,6,1,5,2]
[4,5,2,3,1,4]=>[{5},{3},{4},{1,6},{2}]=>[5,3,4,1,6,2]
[4,5,2,3,4,1]=>[{6},{3},{4},{1,5},{2}]=>[6,3,4,1,5,2]
[4,5,2,4,1,3]=>[{5},{3},{6},{1,4},{2}]=>[5,3,6,1,4,2]
[4,5,2,4,3,1]=>[{6},{3},{5},{1,4},{2}]=>[6,3,5,1,4,2]
[4,5,3,1,2,4]=>[{4},{5},{3},{1,6},{2}]=>[4,5,3,1,6,2]
[4,5,3,1,4,2]=>[{4},{6},{3},{1,5},{2}]=>[4,6,3,1,5,2]
[4,5,3,2,1,4]=>[{5},{4},{3},{1,6},{2}]=>[5,4,3,1,6,2]
[4,5,3,2,4,1]=>[{6},{4},{3},{1,5},{2}]=>[6,4,3,1,5,2]
[4,5,3,4,1,2]=>[{5},{6},{3},{1,4},{2}]=>[5,6,3,1,4,2]
[4,5,3,4,2,1]=>[{6},{5},{3},{1,4},{2}]=>[6,5,3,1,4,2]
[4,5,4,1,2,3]=>[{4},{5},{6},{1,3},{2}]=>[4,5,6,1,3,2]
[4,5,4,1,3,2]=>[{4},{6},{5},{1,3},{2}]=>[4,6,5,1,3,2]
[4,5,4,2,1,3]=>[{5},{4},{6},{1,3},{2}]=>[5,4,6,1,3,2]
[4,5,4,2,3,1]=>[{6},{4},{5},{1,3},{2}]=>[6,4,5,1,3,2]
[4,5,4,3,1,2]=>[{5},{6},{4},{1,3},{2}]=>[5,6,4,1,3,2]
[4,5,4,3,2,1]=>[{6},{5},{4},{1,3},{2}]=>[6,5,4,1,3,2]
[5,1,2,3,4,4]=>[{2},{3},{4},{5,6},{1}]=>[2,3,4,5,6,1]
[5,1,2,4,3,4]=>[{2},{3},{5},{4,6},{1}]=>[2,3,5,4,6,1]
[5,1,2,4,4,3]=>[{2},{3},{6},{4,5},{1}]=>[2,3,6,4,5,1]
[5,1,3,2,4,4]=>[{2},{4},{3},{5,6},{1}]=>[2,4,3,5,6,1]
[5,1,3,4,2,4]=>[{2},{5},{3},{4,6},{1}]=>[2,5,3,4,6,1]
[5,1,3,4,4,2]=>[{2},{6},{3},{4,5},{1}]=>[2,6,3,4,5,1]
[5,1,4,2,3,4]=>[{2},{4},{5},{3,6},{1}]=>[2,4,5,3,6,1]
[5,1,4,2,4,3]=>[{2},{4},{6},{3,5},{1}]=>[2,4,6,3,5,1]
[5,1,4,3,2,4]=>[{2},{5},{4},{3,6},{1}]=>[2,5,4,3,6,1]
[5,1,4,3,4,2]=>[{2},{6},{4},{3,5},{1}]=>[2,6,4,3,5,1]
[5,1,4,4,2,3]=>[{2},{5},{6},{3,4},{1}]=>[2,5,6,3,4,1]
[5,1,4,4,3,2]=>[{2},{6},{5},{3,4},{1}]=>[2,6,5,3,4,1]
[5,2,1,3,4,4]=>[{3},{2},{4},{5,6},{1}]=>[3,2,4,5,6,1]
[5,2,1,4,3,4]=>[{3},{2},{5},{4,6},{1}]=>[3,2,5,4,6,1]
[5,2,1,4,4,3]=>[{3},{2},{6},{4,5},{1}]=>[3,2,6,4,5,1]
[5,2,3,1,4,4]=>[{4},{2},{3},{5,6},{1}]=>[4,2,3,5,6,1]
[5,2,3,4,1,4]=>[{5},{2},{3},{4,6},{1}]=>[5,2,3,4,6,1]
[5,2,3,4,4,1]=>[{6},{2},{3},{4,5},{1}]=>[6,2,3,4,5,1]
[5,2,4,1,3,4]=>[{4},{2},{5},{3,6},{1}]=>[4,2,5,3,6,1]
[5,2,4,1,4,3]=>[{4},{2},{6},{3,5},{1}]=>[4,2,6,3,5,1]
[5,2,4,3,1,4]=>[{5},{2},{4},{3,6},{1}]=>[5,2,4,3,6,1]
[5,2,4,3,4,1]=>[{6},{2},{4},{3,5},{1}]=>[6,2,4,3,5,1]
[5,2,4,4,1,3]=>[{5},{2},{6},{3,4},{1}]=>[5,2,6,3,4,1]
[5,2,4,4,3,1]=>[{6},{2},{5},{3,4},{1}]=>[6,2,5,3,4,1]
[5,3,1,2,4,4]=>[{3},{4},{2},{5,6},{1}]=>[3,4,2,5,6,1]
[5,3,1,4,2,4]=>[{3},{5},{2},{4,6},{1}]=>[3,5,2,4,6,1]
[5,3,1,4,4,2]=>[{3},{6},{2},{4,5},{1}]=>[3,6,2,4,5,1]
[5,3,2,1,4,4]=>[{4},{3},{2},{5,6},{1}]=>[4,3,2,5,6,1]
[5,3,2,4,1,4]=>[{5},{3},{2},{4,6},{1}]=>[5,3,2,4,6,1]
[5,3,2,4,4,1]=>[{6},{3},{2},{4,5},{1}]=>[6,3,2,4,5,1]
[5,3,4,1,2,4]=>[{4},{5},{2},{3,6},{1}]=>[4,5,2,3,6,1]
[5,3,4,1,4,2]=>[{4},{6},{2},{3,5},{1}]=>[4,6,2,3,5,1]
[5,3,4,2,1,4]=>[{5},{4},{2},{3,6},{1}]=>[5,4,2,3,6,1]
[5,3,4,2,4,1]=>[{6},{4},{2},{3,5},{1}]=>[6,4,2,3,5,1]
[5,3,4,4,1,2]=>[{5},{6},{2},{3,4},{1}]=>[5,6,2,3,4,1]
[5,3,4,4,2,1]=>[{6},{5},{2},{3,4},{1}]=>[6,5,2,3,4,1]
[5,4,1,2,3,4]=>[{3},{4},{5},{2,6},{1}]=>[3,4,5,2,6,1]
[5,4,1,2,4,3]=>[{3},{4},{6},{2,5},{1}]=>[3,4,6,2,5,1]
[5,4,1,3,2,4]=>[{3},{5},{4},{2,6},{1}]=>[3,5,4,2,6,1]
[5,4,1,3,4,2]=>[{3},{6},{4},{2,5},{1}]=>[3,6,4,2,5,1]
[5,4,1,4,2,3]=>[{3},{5},{6},{2,4},{1}]=>[3,5,6,2,4,1]
[5,4,1,4,3,2]=>[{3},{6},{5},{2,4},{1}]=>[3,6,5,2,4,1]
[5,4,2,1,3,4]=>[{4},{3},{5},{2,6},{1}]=>[4,3,5,2,6,1]
[5,4,2,1,4,3]=>[{4},{3},{6},{2,5},{1}]=>[4,3,6,2,5,1]
[5,4,2,3,1,4]=>[{5},{3},{4},{2,6},{1}]=>[5,3,4,2,6,1]
[5,4,2,3,4,1]=>[{6},{3},{4},{2,5},{1}]=>[6,3,4,2,5,1]
[5,4,2,4,1,3]=>[{5},{3},{6},{2,4},{1}]=>[5,3,6,2,4,1]
[5,4,2,4,3,1]=>[{6},{3},{5},{2,4},{1}]=>[6,3,5,2,4,1]
[5,4,3,1,2,4]=>[{4},{5},{3},{2,6},{1}]=>[4,5,3,2,6,1]
[5,4,3,1,4,2]=>[{4},{6},{3},{2,5},{1}]=>[4,6,3,2,5,1]
[5,4,3,2,1,4]=>[{5},{4},{3},{2,6},{1}]=>[5,4,3,2,6,1]
[5,4,3,2,4,1]=>[{6},{4},{3},{2,5},{1}]=>[6,4,3,2,5,1]
[5,4,3,4,1,2]=>[{5},{6},{3},{2,4},{1}]=>[5,6,3,2,4,1]
[5,4,3,4,2,1]=>[{6},{5},{3},{2,4},{1}]=>[6,5,3,2,4,1]
[5,4,4,1,2,3]=>[{4},{5},{6},{2,3},{1}]=>[4,5,6,2,3,1]
[5,4,4,1,3,2]=>[{4},{6},{5},{2,3},{1}]=>[4,6,5,2,3,1]
[5,4,4,2,1,3]=>[{5},{4},{6},{2,3},{1}]=>[5,4,6,2,3,1]
[5,4,4,2,3,1]=>[{6},{4},{5},{2,3},{1}]=>[6,4,5,2,3,1]
[5,4,4,3,1,2]=>[{5},{6},{4},{2,3},{1}]=>[5,6,4,2,3,1]
[5,4,4,3,2,1]=>[{6},{5},{4},{2,3},{1}]=>[6,5,4,2,3,1]
[1,2,3,4,4,6]=>[{1},{2},{3},{4,5},{6}]=>[1,2,3,4,5,6]
[1,2,3,4,6,4]=>[{1},{2},{3},{4,6},{5}]=>[1,2,3,4,6,5]
[1,2,3,6,4,4]=>[{1},{2},{3},{5,6},{4}]=>[1,2,3,5,6,4]
[1,2,4,3,4,6]=>[{1},{2},{4},{3,5},{6}]=>[1,2,4,3,5,6]
[1,2,4,3,6,4]=>[{1},{2},{4},{3,6},{5}]=>[1,2,4,3,6,5]
[1,2,4,4,3,6]=>[{1},{2},{5},{3,4},{6}]=>[1,2,5,3,4,6]
[1,2,4,4,6,3]=>[{1},{2},{6},{3,4},{5}]=>[1,2,6,3,4,5]
[1,2,4,6,3,4]=>[{1},{2},{5},{3,6},{4}]=>[1,2,5,3,6,4]
[1,2,4,6,4,3]=>[{1},{2},{6},{3,5},{4}]=>[1,2,6,3,5,4]
[1,2,6,3,4,4]=>[{1},{2},{4},{5,6},{3}]=>[1,2,4,5,6,3]
[1,2,6,4,3,4]=>[{1},{2},{5},{4,6},{3}]=>[1,2,5,4,6,3]
[1,2,6,4,4,3]=>[{1},{2},{6},{4,5},{3}]=>[1,2,6,4,5,3]
[1,3,2,4,4,6]=>[{1},{3},{2},{4,5},{6}]=>[1,3,2,4,5,6]
[1,3,2,4,6,4]=>[{1},{3},{2},{4,6},{5}]=>[1,3,2,4,6,5]
[1,3,2,6,4,4]=>[{1},{3},{2},{5,6},{4}]=>[1,3,2,5,6,4]
[1,3,4,2,4,6]=>[{1},{4},{2},{3,5},{6}]=>[1,4,2,3,5,6]
[1,3,4,2,6,4]=>[{1},{4},{2},{3,6},{5}]=>[1,4,2,3,6,5]
[1,3,4,4,2,6]=>[{1},{5},{2},{3,4},{6}]=>[1,5,2,3,4,6]
[1,3,4,4,6,2]=>[{1},{6},{2},{3,4},{5}]=>[1,6,2,3,4,5]
[1,3,4,6,2,4]=>[{1},{5},{2},{3,6},{4}]=>[1,5,2,3,6,4]
[1,3,4,6,4,2]=>[{1},{6},{2},{3,5},{4}]=>[1,6,2,3,5,4]
[1,3,6,2,4,4]=>[{1},{4},{2},{5,6},{3}]=>[1,4,2,5,6,3]
[1,3,6,4,2,4]=>[{1},{5},{2},{4,6},{3}]=>[1,5,2,4,6,3]
[1,3,6,4,4,2]=>[{1},{6},{2},{4,5},{3}]=>[1,6,2,4,5,3]
[1,4,2,3,4,6]=>[{1},{3},{4},{2,5},{6}]=>[1,3,4,2,5,6]
[1,4,2,3,6,4]=>[{1},{3},{4},{2,6},{5}]=>[1,3,4,2,6,5]
[1,4,2,4,3,6]=>[{1},{3},{5},{2,4},{6}]=>[1,3,5,2,4,6]
[1,4,2,4,6,3]=>[{1},{3},{6},{2,4},{5}]=>[1,3,6,2,4,5]
[1,4,2,6,3,4]=>[{1},{3},{5},{2,6},{4}]=>[1,3,5,2,6,4]
[1,4,2,6,4,3]=>[{1},{3},{6},{2,5},{4}]=>[1,3,6,2,5,4]
[1,4,3,2,4,6]=>[{1},{4},{3},{2,5},{6}]=>[1,4,3,2,5,6]
[1,4,3,2,6,4]=>[{1},{4},{3},{2,6},{5}]=>[1,4,3,2,6,5]
[1,4,3,4,2,6]=>[{1},{5},{3},{2,4},{6}]=>[1,5,3,2,4,6]
[1,4,3,4,6,2]=>[{1},{6},{3},{2,4},{5}]=>[1,6,3,2,4,5]
[1,4,3,6,2,4]=>[{1},{5},{3},{2,6},{4}]=>[1,5,3,2,6,4]
[1,4,3,6,4,2]=>[{1},{6},{3},{2,5},{4}]=>[1,6,3,2,5,4]
[1,4,4,2,3,6]=>[{1},{4},{5},{2,3},{6}]=>[1,4,5,2,3,6]
[1,4,4,2,6,3]=>[{1},{4},{6},{2,3},{5}]=>[1,4,6,2,3,5]
[1,4,4,3,2,6]=>[{1},{5},{4},{2,3},{6}]=>[1,5,4,2,3,6]
[1,4,4,3,6,2]=>[{1},{6},{4},{2,3},{5}]=>[1,6,4,2,3,5]
[1,4,4,6,2,3]=>[{1},{5},{6},{2,3},{4}]=>[1,5,6,2,3,4]
[1,4,4,6,3,2]=>[{1},{6},{5},{2,3},{4}]=>[1,6,5,2,3,4]
[1,4,6,2,3,4]=>[{1},{4},{5},{2,6},{3}]=>[1,4,5,2,6,3]
[1,4,6,2,4,3]=>[{1},{4},{6},{2,5},{3}]=>[1,4,6,2,5,3]
[1,4,6,3,2,4]=>[{1},{5},{4},{2,6},{3}]=>[1,5,4,2,6,3]
[1,4,6,3,4,2]=>[{1},{6},{4},{2,5},{3}]=>[1,6,4,2,5,3]
[1,4,6,4,2,3]=>[{1},{5},{6},{2,4},{3}]=>[1,5,6,2,4,3]
[1,4,6,4,3,2]=>[{1},{6},{5},{2,4},{3}]=>[1,6,5,2,4,3]
[1,6,2,3,4,4]=>[{1},{3},{4},{5,6},{2}]=>[1,3,4,5,6,2]
[1,6,2,4,3,4]=>[{1},{3},{5},{4,6},{2}]=>[1,3,5,4,6,2]
[1,6,2,4,4,3]=>[{1},{3},{6},{4,5},{2}]=>[1,3,6,4,5,2]
[1,6,3,2,4,4]=>[{1},{4},{3},{5,6},{2}]=>[1,4,3,5,6,2]
[1,6,3,4,2,4]=>[{1},{5},{3},{4,6},{2}]=>[1,5,3,4,6,2]
[1,6,3,4,4,2]=>[{1},{6},{3},{4,5},{2}]=>[1,6,3,4,5,2]
[1,6,4,2,3,4]=>[{1},{4},{5},{3,6},{2}]=>[1,4,5,3,6,2]
[1,6,4,2,4,3]=>[{1},{4},{6},{3,5},{2}]=>[1,4,6,3,5,2]
[1,6,4,3,2,4]=>[{1},{5},{4},{3,6},{2}]=>[1,5,4,3,6,2]
[1,6,4,3,4,2]=>[{1},{6},{4},{3,5},{2}]=>[1,6,4,3,5,2]
[1,6,4,4,2,3]=>[{1},{5},{6},{3,4},{2}]=>[1,5,6,3,4,2]
[1,6,4,4,3,2]=>[{1},{6},{5},{3,4},{2}]=>[1,6,5,3,4,2]
[2,1,3,4,4,6]=>[{2},{1},{3},{4,5},{6}]=>[2,1,3,4,5,6]
[2,1,3,4,6,4]=>[{2},{1},{3},{4,6},{5}]=>[2,1,3,4,6,5]
[2,1,3,6,4,4]=>[{2},{1},{3},{5,6},{4}]=>[2,1,3,5,6,4]
[2,1,4,3,4,6]=>[{2},{1},{4},{3,5},{6}]=>[2,1,4,3,5,6]
[2,1,4,3,6,4]=>[{2},{1},{4},{3,6},{5}]=>[2,1,4,3,6,5]
[2,1,4,4,3,6]=>[{2},{1},{5},{3,4},{6}]=>[2,1,5,3,4,6]
[2,1,4,4,6,3]=>[{2},{1},{6},{3,4},{5}]=>[2,1,6,3,4,5]
[2,1,4,6,3,4]=>[{2},{1},{5},{3,6},{4}]=>[2,1,5,3,6,4]
[2,1,4,6,4,3]=>[{2},{1},{6},{3,5},{4}]=>[2,1,6,3,5,4]
[2,1,6,3,4,4]=>[{2},{1},{4},{5,6},{3}]=>[2,1,4,5,6,3]
[2,1,6,4,3,4]=>[{2},{1},{5},{4,6},{3}]=>[2,1,5,4,6,3]
[2,1,6,4,4,3]=>[{2},{1},{6},{4,5},{3}]=>[2,1,6,4,5,3]
[2,3,1,4,4,6]=>[{3},{1},{2},{4,5},{6}]=>[3,1,2,4,5,6]
[2,3,1,4,6,4]=>[{3},{1},{2},{4,6},{5}]=>[3,1,2,4,6,5]
[2,3,1,6,4,4]=>[{3},{1},{2},{5,6},{4}]=>[3,1,2,5,6,4]
[2,3,4,1,4,6]=>[{4},{1},{2},{3,5},{6}]=>[4,1,2,3,5,6]
[2,3,4,1,6,4]=>[{4},{1},{2},{3,6},{5}]=>[4,1,2,3,6,5]
[2,3,4,4,1,6]=>[{5},{1},{2},{3,4},{6}]=>[5,1,2,3,4,6]
[2,3,4,4,6,1]=>[{6},{1},{2},{3,4},{5}]=>[6,1,2,3,4,5]
[2,3,4,6,1,4]=>[{5},{1},{2},{3,6},{4}]=>[5,1,2,3,6,4]
[2,3,4,6,4,1]=>[{6},{1},{2},{3,5},{4}]=>[6,1,2,3,5,4]
[2,3,6,1,4,4]=>[{4},{1},{2},{5,6},{3}]=>[4,1,2,5,6,3]
[2,3,6,4,1,4]=>[{5},{1},{2},{4,6},{3}]=>[5,1,2,4,6,3]
[2,3,6,4,4,1]=>[{6},{1},{2},{4,5},{3}]=>[6,1,2,4,5,3]
[2,4,1,3,4,6]=>[{3},{1},{4},{2,5},{6}]=>[3,1,4,2,5,6]
[2,4,1,3,6,4]=>[{3},{1},{4},{2,6},{5}]=>[3,1,4,2,6,5]
[2,4,1,4,3,6]=>[{3},{1},{5},{2,4},{6}]=>[3,1,5,2,4,6]
[2,4,1,4,6,3]=>[{3},{1},{6},{2,4},{5}]=>[3,1,6,2,4,5]
[2,4,1,6,3,4]=>[{3},{1},{5},{2,6},{4}]=>[3,1,5,2,6,4]
[2,4,1,6,4,3]=>[{3},{1},{6},{2,5},{4}]=>[3,1,6,2,5,4]
[2,4,3,1,4,6]=>[{4},{1},{3},{2,5},{6}]=>[4,1,3,2,5,6]
[2,4,3,1,6,4]=>[{4},{1},{3},{2,6},{5}]=>[4,1,3,2,6,5]
[2,4,3,4,1,6]=>[{5},{1},{3},{2,4},{6}]=>[5,1,3,2,4,6]
[2,4,3,4,6,1]=>[{6},{1},{3},{2,4},{5}]=>[6,1,3,2,4,5]
[2,4,3,6,1,4]=>[{5},{1},{3},{2,6},{4}]=>[5,1,3,2,6,4]
[2,4,3,6,4,1]=>[{6},{1},{3},{2,5},{4}]=>[6,1,3,2,5,4]
[2,4,4,1,3,6]=>[{4},{1},{5},{2,3},{6}]=>[4,1,5,2,3,6]
[2,4,4,1,6,3]=>[{4},{1},{6},{2,3},{5}]=>[4,1,6,2,3,5]
[2,4,4,3,1,6]=>[{5},{1},{4},{2,3},{6}]=>[5,1,4,2,3,6]
[2,4,4,3,6,1]=>[{6},{1},{4},{2,3},{5}]=>[6,1,4,2,3,5]
[2,4,4,6,1,3]=>[{5},{1},{6},{2,3},{4}]=>[5,1,6,2,3,4]
[2,4,4,6,3,1]=>[{6},{1},{5},{2,3},{4}]=>[6,1,5,2,3,4]
[2,4,6,1,3,4]=>[{4},{1},{5},{2,6},{3}]=>[4,1,5,2,6,3]
[2,4,6,1,4,3]=>[{4},{1},{6},{2,5},{3}]=>[4,1,6,2,5,3]
[2,4,6,3,1,4]=>[{5},{1},{4},{2,6},{3}]=>[5,1,4,2,6,3]
[2,4,6,3,4,1]=>[{6},{1},{4},{2,5},{3}]=>[6,1,4,2,5,3]
[2,4,6,4,1,3]=>[{5},{1},{6},{2,4},{3}]=>[5,1,6,2,4,3]
[2,4,6,4,3,1]=>[{6},{1},{5},{2,4},{3}]=>[6,1,5,2,4,3]
[2,6,1,3,4,4]=>[{3},{1},{4},{5,6},{2}]=>[3,1,4,5,6,2]
[2,6,1,4,3,4]=>[{3},{1},{5},{4,6},{2}]=>[3,1,5,4,6,2]
[2,6,1,4,4,3]=>[{3},{1},{6},{4,5},{2}]=>[3,1,6,4,5,2]
[2,6,3,1,4,4]=>[{4},{1},{3},{5,6},{2}]=>[4,1,3,5,6,2]
[2,6,3,4,1,4]=>[{5},{1},{3},{4,6},{2}]=>[5,1,3,4,6,2]
[2,6,3,4,4,1]=>[{6},{1},{3},{4,5},{2}]=>[6,1,3,4,5,2]
[2,6,4,1,3,4]=>[{4},{1},{5},{3,6},{2}]=>[4,1,5,3,6,2]
[2,6,4,1,4,3]=>[{4},{1},{6},{3,5},{2}]=>[4,1,6,3,5,2]
[2,6,4,3,1,4]=>[{5},{1},{4},{3,6},{2}]=>[5,1,4,3,6,2]
[2,6,4,3,4,1]=>[{6},{1},{4},{3,5},{2}]=>[6,1,4,3,5,2]
[2,6,4,4,1,3]=>[{5},{1},{6},{3,4},{2}]=>[5,1,6,3,4,2]
[2,6,4,4,3,1]=>[{6},{1},{5},{3,4},{2}]=>[6,1,5,3,4,2]
[3,1,2,4,4,6]=>[{2},{3},{1},{4,5},{6}]=>[2,3,1,4,5,6]
[3,1,2,4,6,4]=>[{2},{3},{1},{4,6},{5}]=>[2,3,1,4,6,5]
[3,1,2,6,4,4]=>[{2},{3},{1},{5,6},{4}]=>[2,3,1,5,6,4]
[3,1,4,2,4,6]=>[{2},{4},{1},{3,5},{6}]=>[2,4,1,3,5,6]
[3,1,4,2,6,4]=>[{2},{4},{1},{3,6},{5}]=>[2,4,1,3,6,5]
[3,1,4,4,2,6]=>[{2},{5},{1},{3,4},{6}]=>[2,5,1,3,4,6]
[3,1,4,4,6,2]=>[{2},{6},{1},{3,4},{5}]=>[2,6,1,3,4,5]
[3,1,4,6,2,4]=>[{2},{5},{1},{3,6},{4}]=>[2,5,1,3,6,4]
[3,1,4,6,4,2]=>[{2},{6},{1},{3,5},{4}]=>[2,6,1,3,5,4]
[3,1,6,2,4,4]=>[{2},{4},{1},{5,6},{3}]=>[2,4,1,5,6,3]
[3,1,6,4,2,4]=>[{2},{5},{1},{4,6},{3}]=>[2,5,1,4,6,3]
[3,1,6,4,4,2]=>[{2},{6},{1},{4,5},{3}]=>[2,6,1,4,5,3]
[3,2,1,4,4,6]=>[{3},{2},{1},{4,5},{6}]=>[3,2,1,4,5,6]
[3,2,1,4,6,4]=>[{3},{2},{1},{4,6},{5}]=>[3,2,1,4,6,5]
[3,2,1,6,4,4]=>[{3},{2},{1},{5,6},{4}]=>[3,2,1,5,6,4]
[3,2,4,1,4,6]=>[{4},{2},{1},{3,5},{6}]=>[4,2,1,3,5,6]
[3,2,4,1,6,4]=>[{4},{2},{1},{3,6},{5}]=>[4,2,1,3,6,5]
[3,2,4,4,1,6]=>[{5},{2},{1},{3,4},{6}]=>[5,2,1,3,4,6]
[3,2,4,4,6,1]=>[{6},{2},{1},{3,4},{5}]=>[6,2,1,3,4,5]
[3,2,4,6,1,4]=>[{5},{2},{1},{3,6},{4}]=>[5,2,1,3,6,4]
[3,2,4,6,4,1]=>[{6},{2},{1},{3,5},{4}]=>[6,2,1,3,5,4]
[3,2,6,1,4,4]=>[{4},{2},{1},{5,6},{3}]=>[4,2,1,5,6,3]
[3,2,6,4,1,4]=>[{5},{2},{1},{4,6},{3}]=>[5,2,1,4,6,3]
[3,2,6,4,4,1]=>[{6},{2},{1},{4,5},{3}]=>[6,2,1,4,5,3]
[3,4,1,2,4,6]=>[{3},{4},{1},{2,5},{6}]=>[3,4,1,2,5,6]
[3,4,1,2,6,4]=>[{3},{4},{1},{2,6},{5}]=>[3,4,1,2,6,5]
[3,4,1,4,2,6]=>[{3},{5},{1},{2,4},{6}]=>[3,5,1,2,4,6]
[3,4,1,4,6,2]=>[{3},{6},{1},{2,4},{5}]=>[3,6,1,2,4,5]
[3,4,1,6,2,4]=>[{3},{5},{1},{2,6},{4}]=>[3,5,1,2,6,4]
[3,4,1,6,4,2]=>[{3},{6},{1},{2,5},{4}]=>[3,6,1,2,5,4]
[3,4,2,1,4,6]=>[{4},{3},{1},{2,5},{6}]=>[4,3,1,2,5,6]
[3,4,2,1,6,4]=>[{4},{3},{1},{2,6},{5}]=>[4,3,1,2,6,5]
[3,4,2,4,1,6]=>[{5},{3},{1},{2,4},{6}]=>[5,3,1,2,4,6]
[3,4,2,4,6,1]=>[{6},{3},{1},{2,4},{5}]=>[6,3,1,2,4,5]
[3,4,2,6,1,4]=>[{5},{3},{1},{2,6},{4}]=>[5,3,1,2,6,4]
[3,4,2,6,4,1]=>[{6},{3},{1},{2,5},{4}]=>[6,3,1,2,5,4]
[3,4,4,1,2,6]=>[{4},{5},{1},{2,3},{6}]=>[4,5,1,2,3,6]
[3,4,4,1,6,2]=>[{4},{6},{1},{2,3},{5}]=>[4,6,1,2,3,5]
[3,4,4,2,1,6]=>[{5},{4},{1},{2,3},{6}]=>[5,4,1,2,3,6]
[3,4,4,2,6,1]=>[{6},{4},{1},{2,3},{5}]=>[6,4,1,2,3,5]
[3,4,4,6,1,2]=>[{5},{6},{1},{2,3},{4}]=>[5,6,1,2,3,4]
[3,4,4,6,2,1]=>[{6},{5},{1},{2,3},{4}]=>[6,5,1,2,3,4]
[3,4,6,1,2,4]=>[{4},{5},{1},{2,6},{3}]=>[4,5,1,2,6,3]
[3,4,6,1,4,2]=>[{4},{6},{1},{2,5},{3}]=>[4,6,1,2,5,3]
[3,4,6,2,1,4]=>[{5},{4},{1},{2,6},{3}]=>[5,4,1,2,6,3]
[3,4,6,2,4,1]=>[{6},{4},{1},{2,5},{3}]=>[6,4,1,2,5,3]
[3,4,6,4,1,2]=>[{5},{6},{1},{2,4},{3}]=>[5,6,1,2,4,3]
[3,4,6,4,2,1]=>[{6},{5},{1},{2,4},{3}]=>[6,5,1,2,4,3]
[3,6,1,2,4,4]=>[{3},{4},{1},{5,6},{2}]=>[3,4,1,5,6,2]
[3,6,1,4,2,4]=>[{3},{5},{1},{4,6},{2}]=>[3,5,1,4,6,2]
[3,6,1,4,4,2]=>[{3},{6},{1},{4,5},{2}]=>[3,6,1,4,5,2]
[3,6,2,1,4,4]=>[{4},{3},{1},{5,6},{2}]=>[4,3,1,5,6,2]
[3,6,2,4,1,4]=>[{5},{3},{1},{4,6},{2}]=>[5,3,1,4,6,2]
[3,6,2,4,4,1]=>[{6},{3},{1},{4,5},{2}]=>[6,3,1,4,5,2]
[3,6,4,1,2,4]=>[{4},{5},{1},{3,6},{2}]=>[4,5,1,3,6,2]
[3,6,4,1,4,2]=>[{4},{6},{1},{3,5},{2}]=>[4,6,1,3,5,2]
[3,6,4,2,1,4]=>[{5},{4},{1},{3,6},{2}]=>[5,4,1,3,6,2]
[3,6,4,2,4,1]=>[{6},{4},{1},{3,5},{2}]=>[6,4,1,3,5,2]
[3,6,4,4,1,2]=>[{5},{6},{1},{3,4},{2}]=>[5,6,1,3,4,2]
[3,6,4,4,2,1]=>[{6},{5},{1},{3,4},{2}]=>[6,5,1,3,4,2]
[4,1,2,3,4,6]=>[{2},{3},{4},{1,5},{6}]=>[2,3,4,1,5,6]
[4,1,2,3,6,4]=>[{2},{3},{4},{1,6},{5}]=>[2,3,4,1,6,5]
[4,1,2,4,3,6]=>[{2},{3},{5},{1,4},{6}]=>[2,3,5,1,4,6]
[4,1,2,4,6,3]=>[{2},{3},{6},{1,4},{5}]=>[2,3,6,1,4,5]
[4,1,2,6,3,4]=>[{2},{3},{5},{1,6},{4}]=>[2,3,5,1,6,4]
[4,1,2,6,4,3]=>[{2},{3},{6},{1,5},{4}]=>[2,3,6,1,5,4]
[4,1,3,2,4,6]=>[{2},{4},{3},{1,5},{6}]=>[2,4,3,1,5,6]
[4,1,3,2,6,4]=>[{2},{4},{3},{1,6},{5}]=>[2,4,3,1,6,5]
[4,1,3,4,2,6]=>[{2},{5},{3},{1,4},{6}]=>[2,5,3,1,4,6]
[4,1,3,4,6,2]=>[{2},{6},{3},{1,4},{5}]=>[2,6,3,1,4,5]
[4,1,3,6,2,4]=>[{2},{5},{3},{1,6},{4}]=>[2,5,3,1,6,4]
[4,1,3,6,4,2]=>[{2},{6},{3},{1,5},{4}]=>[2,6,3,1,5,4]
[4,1,4,2,3,6]=>[{2},{4},{5},{1,3},{6}]=>[2,4,5,1,3,6]
[4,1,4,2,6,3]=>[{2},{4},{6},{1,3},{5}]=>[2,4,6,1,3,5]
[4,1,4,3,2,6]=>[{2},{5},{4},{1,3},{6}]=>[2,5,4,1,3,6]
[4,1,4,3,6,2]=>[{2},{6},{4},{1,3},{5}]=>[2,6,4,1,3,5]
[4,1,4,6,2,3]=>[{2},{5},{6},{1,3},{4}]=>[2,5,6,1,3,4]
[4,1,4,6,3,2]=>[{2},{6},{5},{1,3},{4}]=>[2,6,5,1,3,4]
[4,1,6,2,3,4]=>[{2},{4},{5},{1,6},{3}]=>[2,4,5,1,6,3]
[4,1,6,2,4,3]=>[{2},{4},{6},{1,5},{3}]=>[2,4,6,1,5,3]
[4,1,6,3,2,4]=>[{2},{5},{4},{1,6},{3}]=>[2,5,4,1,6,3]
[4,1,6,3,4,2]=>[{2},{6},{4},{1,5},{3}]=>[2,6,4,1,5,3]
[4,1,6,4,2,3]=>[{2},{5},{6},{1,4},{3}]=>[2,5,6,1,4,3]
[4,1,6,4,3,2]=>[{2},{6},{5},{1,4},{3}]=>[2,6,5,1,4,3]
[4,2,1,3,4,6]=>[{3},{2},{4},{1,5},{6}]=>[3,2,4,1,5,6]
[4,2,1,3,6,4]=>[{3},{2},{4},{1,6},{5}]=>[3,2,4,1,6,5]
[4,2,1,4,3,6]=>[{3},{2},{5},{1,4},{6}]=>[3,2,5,1,4,6]
[4,2,1,4,6,3]=>[{3},{2},{6},{1,4},{5}]=>[3,2,6,1,4,5]
[4,2,1,6,3,4]=>[{3},{2},{5},{1,6},{4}]=>[3,2,5,1,6,4]
[4,2,1,6,4,3]=>[{3},{2},{6},{1,5},{4}]=>[3,2,6,1,5,4]
[4,2,3,1,4,6]=>[{4},{2},{3},{1,5},{6}]=>[4,2,3,1,5,6]
[4,2,3,1,6,4]=>[{4},{2},{3},{1,6},{5}]=>[4,2,3,1,6,5]
[4,2,3,4,1,6]=>[{5},{2},{3},{1,4},{6}]=>[5,2,3,1,4,6]
[4,2,3,4,6,1]=>[{6},{2},{3},{1,4},{5}]=>[6,2,3,1,4,5]
[4,2,3,6,1,4]=>[{5},{2},{3},{1,6},{4}]=>[5,2,3,1,6,4]
[4,2,3,6,4,1]=>[{6},{2},{3},{1,5},{4}]=>[6,2,3,1,5,4]
[4,2,4,1,3,6]=>[{4},{2},{5},{1,3},{6}]=>[4,2,5,1,3,6]
[4,2,4,1,6,3]=>[{4},{2},{6},{1,3},{5}]=>[4,2,6,1,3,5]
[4,2,4,3,1,6]=>[{5},{2},{4},{1,3},{6}]=>[5,2,4,1,3,6]
[4,2,4,3,6,1]=>[{6},{2},{4},{1,3},{5}]=>[6,2,4,1,3,5]
[4,2,4,6,1,3]=>[{5},{2},{6},{1,3},{4}]=>[5,2,6,1,3,4]
[4,2,4,6,3,1]=>[{6},{2},{5},{1,3},{4}]=>[6,2,5,1,3,4]
[4,2,6,1,3,4]=>[{4},{2},{5},{1,6},{3}]=>[4,2,5,1,6,3]
[4,2,6,1,4,3]=>[{4},{2},{6},{1,5},{3}]=>[4,2,6,1,5,3]
[4,2,6,3,1,4]=>[{5},{2},{4},{1,6},{3}]=>[5,2,4,1,6,3]
[4,2,6,3,4,1]=>[{6},{2},{4},{1,5},{3}]=>[6,2,4,1,5,3]
[4,2,6,4,1,3]=>[{5},{2},{6},{1,4},{3}]=>[5,2,6,1,4,3]
[4,2,6,4,3,1]=>[{6},{2},{5},{1,4},{3}]=>[6,2,5,1,4,3]
[4,3,1,2,4,6]=>[{3},{4},{2},{1,5},{6}]=>[3,4,2,1,5,6]
[4,3,1,2,6,4]=>[{3},{4},{2},{1,6},{5}]=>[3,4,2,1,6,5]
[4,3,1,4,2,6]=>[{3},{5},{2},{1,4},{6}]=>[3,5,2,1,4,6]
[4,3,1,4,6,2]=>[{3},{6},{2},{1,4},{5}]=>[3,6,2,1,4,5]
[4,3,1,6,2,4]=>[{3},{5},{2},{1,6},{4}]=>[3,5,2,1,6,4]
[4,3,1,6,4,2]=>[{3},{6},{2},{1,5},{4}]=>[3,6,2,1,5,4]
[4,3,2,1,4,6]=>[{4},{3},{2},{1,5},{6}]=>[4,3,2,1,5,6]
[4,3,2,1,6,4]=>[{4},{3},{2},{1,6},{5}]=>[4,3,2,1,6,5]
[4,3,2,4,1,6]=>[{5},{3},{2},{1,4},{6}]=>[5,3,2,1,4,6]
[4,3,2,4,6,1]=>[{6},{3},{2},{1,4},{5}]=>[6,3,2,1,4,5]
[4,3,2,6,1,4]=>[{5},{3},{2},{1,6},{4}]=>[5,3,2,1,6,4]
[4,3,2,6,4,1]=>[{6},{3},{2},{1,5},{4}]=>[6,3,2,1,5,4]
[4,3,4,1,2,6]=>[{4},{5},{2},{1,3},{6}]=>[4,5,2,1,3,6]
[4,3,4,1,6,2]=>[{4},{6},{2},{1,3},{5}]=>[4,6,2,1,3,5]
[4,3,4,2,1,6]=>[{5},{4},{2},{1,3},{6}]=>[5,4,2,1,3,6]
[4,3,4,2,6,1]=>[{6},{4},{2},{1,3},{5}]=>[6,4,2,1,3,5]
[4,3,4,6,1,2]=>[{5},{6},{2},{1,3},{4}]=>[5,6,2,1,3,4]
[4,3,4,6,2,1]=>[{6},{5},{2},{1,3},{4}]=>[6,5,2,1,3,4]
[4,3,6,1,2,4]=>[{4},{5},{2},{1,6},{3}]=>[4,5,2,1,6,3]
[4,3,6,1,4,2]=>[{4},{6},{2},{1,5},{3}]=>[4,6,2,1,5,3]
[4,3,6,2,1,4]=>[{5},{4},{2},{1,6},{3}]=>[5,4,2,1,6,3]
[4,3,6,2,4,1]=>[{6},{4},{2},{1,5},{3}]=>[6,4,2,1,5,3]
[4,3,6,4,1,2]=>[{5},{6},{2},{1,4},{3}]=>[5,6,2,1,4,3]
[4,3,6,4,2,1]=>[{6},{5},{2},{1,4},{3}]=>[6,5,2,1,4,3]
[4,4,1,2,3,6]=>[{3},{4},{5},{1,2},{6}]=>[3,4,5,1,2,6]
[4,4,1,2,6,3]=>[{3},{4},{6},{1,2},{5}]=>[3,4,6,1,2,5]
[4,4,1,3,2,6]=>[{3},{5},{4},{1,2},{6}]=>[3,5,4,1,2,6]
[4,4,1,3,6,2]=>[{3},{6},{4},{1,2},{5}]=>[3,6,4,1,2,5]
[4,4,1,6,2,3]=>[{3},{5},{6},{1,2},{4}]=>[3,5,6,1,2,4]
[4,4,1,6,3,2]=>[{3},{6},{5},{1,2},{4}]=>[3,6,5,1,2,4]
[4,4,2,1,3,6]=>[{4},{3},{5},{1,2},{6}]=>[4,3,5,1,2,6]
[4,4,2,1,6,3]=>[{4},{3},{6},{1,2},{5}]=>[4,3,6,1,2,5]
[4,4,2,3,1,6]=>[{5},{3},{4},{1,2},{6}]=>[5,3,4,1,2,6]
[4,4,2,3,6,1]=>[{6},{3},{4},{1,2},{5}]=>[6,3,4,1,2,5]
[4,4,2,6,1,3]=>[{5},{3},{6},{1,2},{4}]=>[5,3,6,1,2,4]
[4,4,2,6,3,1]=>[{6},{3},{5},{1,2},{4}]=>[6,3,5,1,2,4]
[4,4,3,1,2,6]=>[{4},{5},{3},{1,2},{6}]=>[4,5,3,1,2,6]
[4,4,3,1,6,2]=>[{4},{6},{3},{1,2},{5}]=>[4,6,3,1,2,5]
[4,4,3,2,1,6]=>[{5},{4},{3},{1,2},{6}]=>[5,4,3,1,2,6]
[4,4,3,2,6,1]=>[{6},{4},{3},{1,2},{5}]=>[6,4,3,1,2,5]
[4,4,3,6,1,2]=>[{5},{6},{3},{1,2},{4}]=>[5,6,3,1,2,4]
[4,4,3,6,2,1]=>[{6},{5},{3},{1,2},{4}]=>[6,5,3,1,2,4]
[4,4,6,1,2,3]=>[{4},{5},{6},{1,2},{3}]=>[4,5,6,1,2,3]
[4,4,6,1,3,2]=>[{4},{6},{5},{1,2},{3}]=>[4,6,5,1,2,3]
[4,4,6,2,1,3]=>[{5},{4},{6},{1,2},{3}]=>[5,4,6,1,2,3]
[4,4,6,2,3,1]=>[{6},{4},{5},{1,2},{3}]=>[6,4,5,1,2,3]
[4,4,6,3,1,2]=>[{5},{6},{4},{1,2},{3}]=>[5,6,4,1,2,3]
[4,4,6,3,2,1]=>[{6},{5},{4},{1,2},{3}]=>[6,5,4,1,2,3]
[4,6,1,2,3,4]=>[{3},{4},{5},{1,6},{2}]=>[3,4,5,1,6,2]
[4,6,1,2,4,3]=>[{3},{4},{6},{1,5},{2}]=>[3,4,6,1,5,2]
[4,6,1,3,2,4]=>[{3},{5},{4},{1,6},{2}]=>[3,5,4,1,6,2]
[4,6,1,3,4,2]=>[{3},{6},{4},{1,5},{2}]=>[3,6,4,1,5,2]
[4,6,1,4,2,3]=>[{3},{5},{6},{1,4},{2}]=>[3,5,6,1,4,2]
[4,6,1,4,3,2]=>[{3},{6},{5},{1,4},{2}]=>[3,6,5,1,4,2]
[4,6,2,1,3,4]=>[{4},{3},{5},{1,6},{2}]=>[4,3,5,1,6,2]
[4,6,2,1,4,3]=>[{4},{3},{6},{1,5},{2}]=>[4,3,6,1,5,2]
[4,6,2,3,1,4]=>[{5},{3},{4},{1,6},{2}]=>[5,3,4,1,6,2]
[4,6,2,3,4,1]=>[{6},{3},{4},{1,5},{2}]=>[6,3,4,1,5,2]
[4,6,2,4,1,3]=>[{5},{3},{6},{1,4},{2}]=>[5,3,6,1,4,2]
[4,6,2,4,3,1]=>[{6},{3},{5},{1,4},{2}]=>[6,3,5,1,4,2]
[4,6,3,1,2,4]=>[{4},{5},{3},{1,6},{2}]=>[4,5,3,1,6,2]
[4,6,3,1,4,2]=>[{4},{6},{3},{1,5},{2}]=>[4,6,3,1,5,2]
[4,6,3,2,1,4]=>[{5},{4},{3},{1,6},{2}]=>[5,4,3,1,6,2]
[4,6,3,2,4,1]=>[{6},{4},{3},{1,5},{2}]=>[6,4,3,1,5,2]
[4,6,3,4,1,2]=>[{5},{6},{3},{1,4},{2}]=>[5,6,3,1,4,2]
[4,6,3,4,2,1]=>[{6},{5},{3},{1,4},{2}]=>[6,5,3,1,4,2]
[4,6,4,1,2,3]=>[{4},{5},{6},{1,3},{2}]=>[4,5,6,1,3,2]
[4,6,4,1,3,2]=>[{4},{6},{5},{1,3},{2}]=>[4,6,5,1,3,2]
[4,6,4,2,1,3]=>[{5},{4},{6},{1,3},{2}]=>[5,4,6,1,3,2]
[4,6,4,2,3,1]=>[{6},{4},{5},{1,3},{2}]=>[6,4,5,1,3,2]
[4,6,4,3,1,2]=>[{5},{6},{4},{1,3},{2}]=>[5,6,4,1,3,2]
[4,6,4,3,2,1]=>[{6},{5},{4},{1,3},{2}]=>[6,5,4,1,3,2]
[6,1,2,3,4,4]=>[{2},{3},{4},{5,6},{1}]=>[2,3,4,5,6,1]
[6,1,2,4,3,4]=>[{2},{3},{5},{4,6},{1}]=>[2,3,5,4,6,1]
[6,1,2,4,4,3]=>[{2},{3},{6},{4,5},{1}]=>[2,3,6,4,5,1]
[6,1,3,2,4,4]=>[{2},{4},{3},{5,6},{1}]=>[2,4,3,5,6,1]
[6,1,3,4,2,4]=>[{2},{5},{3},{4,6},{1}]=>[2,5,3,4,6,1]
[6,1,3,4,4,2]=>[{2},{6},{3},{4,5},{1}]=>[2,6,3,4,5,1]
[6,1,4,2,3,4]=>[{2},{4},{5},{3,6},{1}]=>[2,4,5,3,6,1]
[6,1,4,2,4,3]=>[{2},{4},{6},{3,5},{1}]=>[2,4,6,3,5,1]
[6,1,4,3,2,4]=>[{2},{5},{4},{3,6},{1}]=>[2,5,4,3,6,1]
[6,1,4,3,4,2]=>[{2},{6},{4},{3,5},{1}]=>[2,6,4,3,5,1]
[6,1,4,4,2,3]=>[{2},{5},{6},{3,4},{1}]=>[2,5,6,3,4,1]
[6,1,4,4,3,2]=>[{2},{6},{5},{3,4},{1}]=>[2,6,5,3,4,1]
[6,2,1,3,4,4]=>[{3},{2},{4},{5,6},{1}]=>[3,2,4,5,6,1]
[6,2,1,4,3,4]=>[{3},{2},{5},{4,6},{1}]=>[3,2,5,4,6,1]
[6,2,1,4,4,3]=>[{3},{2},{6},{4,5},{1}]=>[3,2,6,4,5,1]
[6,2,3,1,4,4]=>[{4},{2},{3},{5,6},{1}]=>[4,2,3,5,6,1]
[6,2,3,4,1,4]=>[{5},{2},{3},{4,6},{1}]=>[5,2,3,4,6,1]
[6,2,3,4,4,1]=>[{6},{2},{3},{4,5},{1}]=>[6,2,3,4,5,1]
[6,2,4,1,3,4]=>[{4},{2},{5},{3,6},{1}]=>[4,2,5,3,6,1]
[6,2,4,1,4,3]=>[{4},{2},{6},{3,5},{1}]=>[4,2,6,3,5,1]
[6,2,4,3,1,4]=>[{5},{2},{4},{3,6},{1}]=>[5,2,4,3,6,1]
[6,2,4,3,4,1]=>[{6},{2},{4},{3,5},{1}]=>[6,2,4,3,5,1]
[6,2,4,4,1,3]=>[{5},{2},{6},{3,4},{1}]=>[5,2,6,3,4,1]
[6,2,4,4,3,1]=>[{6},{2},{5},{3,4},{1}]=>[6,2,5,3,4,1]
[6,3,1,2,4,4]=>[{3},{4},{2},{5,6},{1}]=>[3,4,2,5,6,1]
[6,3,1,4,2,4]=>[{3},{5},{2},{4,6},{1}]=>[3,5,2,4,6,1]
[6,3,1,4,4,2]=>[{3},{6},{2},{4,5},{1}]=>[3,6,2,4,5,1]
[6,3,2,1,4,4]=>[{4},{3},{2},{5,6},{1}]=>[4,3,2,5,6,1]
[6,3,2,4,1,4]=>[{5},{3},{2},{4,6},{1}]=>[5,3,2,4,6,1]
[6,3,2,4,4,1]=>[{6},{3},{2},{4,5},{1}]=>[6,3,2,4,5,1]
[6,3,4,1,2,4]=>[{4},{5},{2},{3,6},{1}]=>[4,5,2,3,6,1]
[6,3,4,1,4,2]=>[{4},{6},{2},{3,5},{1}]=>[4,6,2,3,5,1]
[6,3,4,2,1,4]=>[{5},{4},{2},{3,6},{1}]=>[5,4,2,3,6,1]
[6,3,4,2,4,1]=>[{6},{4},{2},{3,5},{1}]=>[6,4,2,3,5,1]
[6,3,4,4,1,2]=>[{5},{6},{2},{3,4},{1}]=>[5,6,2,3,4,1]
[6,3,4,4,2,1]=>[{6},{5},{2},{3,4},{1}]=>[6,5,2,3,4,1]
[6,4,1,2,3,4]=>[{3},{4},{5},{2,6},{1}]=>[3,4,5,2,6,1]
[6,4,1,2,4,3]=>[{3},{4},{6},{2,5},{1}]=>[3,4,6,2,5,1]
[6,4,1,3,2,4]=>[{3},{5},{4},{2,6},{1}]=>[3,5,4,2,6,1]
[6,4,1,3,4,2]=>[{3},{6},{4},{2,5},{1}]=>[3,6,4,2,5,1]
[6,4,1,4,2,3]=>[{3},{5},{6},{2,4},{1}]=>[3,5,6,2,4,1]
[6,4,1,4,3,2]=>[{3},{6},{5},{2,4},{1}]=>[3,6,5,2,4,1]
[6,4,2,1,3,4]=>[{4},{3},{5},{2,6},{1}]=>[4,3,5,2,6,1]
[6,4,2,1,4,3]=>[{4},{3},{6},{2,5},{1}]=>[4,3,6,2,5,1]
[6,4,2,3,1,4]=>[{5},{3},{4},{2,6},{1}]=>[5,3,4,2,6,1]
[6,4,2,3,4,1]=>[{6},{3},{4},{2,5},{1}]=>[6,3,4,2,5,1]
[6,4,2,4,1,3]=>[{5},{3},{6},{2,4},{1}]=>[5,3,6,2,4,1]
[6,4,2,4,3,1]=>[{6},{3},{5},{2,4},{1}]=>[6,3,5,2,4,1]
[6,4,3,1,2,4]=>[{4},{5},{3},{2,6},{1}]=>[4,5,3,2,6,1]
[6,4,3,1,4,2]=>[{4},{6},{3},{2,5},{1}]=>[4,6,3,2,5,1]
[6,4,3,2,1,4]=>[{5},{4},{3},{2,6},{1}]=>[5,4,3,2,6,1]
[6,4,3,2,4,1]=>[{6},{4},{3},{2,5},{1}]=>[6,4,3,2,5,1]
[6,4,3,4,1,2]=>[{5},{6},{3},{2,4},{1}]=>[5,6,3,2,4,1]
[6,4,3,4,2,1]=>[{6},{5},{3},{2,4},{1}]=>[6,5,3,2,4,1]
[6,4,4,1,2,3]=>[{4},{5},{6},{2,3},{1}]=>[4,5,6,2,3,1]
[6,4,4,1,3,2]=>[{4},{6},{5},{2,3},{1}]=>[4,6,5,2,3,1]
[6,4,4,2,1,3]=>[{5},{4},{6},{2,3},{1}]=>[5,4,6,2,3,1]
[6,4,4,2,3,1]=>[{6},{4},{5},{2,3},{1}]=>[6,4,5,2,3,1]
[6,4,4,3,1,2]=>[{5},{6},{4},{2,3},{1}]=>[5,6,4,2,3,1]
[6,4,4,3,2,1]=>[{6},{5},{4},{2,3},{1}]=>[6,5,4,2,3,1]
[1,2,3,4,5,5]=>[{1},{2},{3},{4},{5,6}]=>[1,2,3,4,5,6]
[1,2,3,5,4,5]=>[{1},{2},{3},{5},{4,6}]=>[1,2,3,5,4,6]
[1,2,3,5,5,4]=>[{1},{2},{3},{6},{4,5}]=>[1,2,3,6,4,5]
[1,2,4,3,5,5]=>[{1},{2},{4},{3},{5,6}]=>[1,2,4,3,5,6]
[1,2,4,5,3,5]=>[{1},{2},{5},{3},{4,6}]=>[1,2,5,3,4,6]
[1,2,4,5,5,3]=>[{1},{2},{6},{3},{4,5}]=>[1,2,6,3,4,5]
[1,2,5,3,4,5]=>[{1},{2},{4},{5},{3,6}]=>[1,2,4,5,3,6]
[1,2,5,3,5,4]=>[{1},{2},{4},{6},{3,5}]=>[1,2,4,6,3,5]
[1,2,5,4,3,5]=>[{1},{2},{5},{4},{3,6}]=>[1,2,5,4,3,6]
[1,2,5,4,5,3]=>[{1},{2},{6},{4},{3,5}]=>[1,2,6,4,3,5]
[1,2,5,5,3,4]=>[{1},{2},{5},{6},{3,4}]=>[1,2,5,6,3,4]
[1,2,5,5,4,3]=>[{1},{2},{6},{5},{3,4}]=>[1,2,6,5,3,4]
[1,3,2,4,5,5]=>[{1},{3},{2},{4},{5,6}]=>[1,3,2,4,5,6]
[1,3,2,5,4,5]=>[{1},{3},{2},{5},{4,6}]=>[1,3,2,5,4,6]
[1,3,2,5,5,4]=>[{1},{3},{2},{6},{4,5}]=>[1,3,2,6,4,5]
[1,3,4,2,5,5]=>[{1},{4},{2},{3},{5,6}]=>[1,4,2,3,5,6]
[1,3,4,5,2,5]=>[{1},{5},{2},{3},{4,6}]=>[1,5,2,3,4,6]
[1,3,4,5,5,2]=>[{1},{6},{2},{3},{4,5}]=>[1,6,2,3,4,5]
[1,3,5,2,4,5]=>[{1},{4},{2},{5},{3,6}]=>[1,4,2,5,3,6]
[1,3,5,2,5,4]=>[{1},{4},{2},{6},{3,5}]=>[1,4,2,6,3,5]
[1,3,5,4,2,5]=>[{1},{5},{2},{4},{3,6}]=>[1,5,2,4,3,6]
[1,3,5,4,5,2]=>[{1},{6},{2},{4},{3,5}]=>[1,6,2,4,3,5]
[1,3,5,5,2,4]=>[{1},{5},{2},{6},{3,4}]=>[1,5,2,6,3,4]
[1,3,5,5,4,2]=>[{1},{6},{2},{5},{3,4}]=>[1,6,2,5,3,4]
[1,4,2,3,5,5]=>[{1},{3},{4},{2},{5,6}]=>[1,3,4,2,5,6]
[1,4,2,5,3,5]=>[{1},{3},{5},{2},{4,6}]=>[1,3,5,2,4,6]
[1,4,2,5,5,3]=>[{1},{3},{6},{2},{4,5}]=>[1,3,6,2,4,5]
[1,4,3,2,5,5]=>[{1},{4},{3},{2},{5,6}]=>[1,4,3,2,5,6]
[1,4,3,5,2,5]=>[{1},{5},{3},{2},{4,6}]=>[1,5,3,2,4,6]
[1,4,3,5,5,2]=>[{1},{6},{3},{2},{4,5}]=>[1,6,3,2,4,5]
[1,4,5,2,3,5]=>[{1},{4},{5},{2},{3,6}]=>[1,4,5,2,3,6]
[1,4,5,2,5,3]=>[{1},{4},{6},{2},{3,5}]=>[1,4,6,2,3,5]
[1,4,5,3,2,5]=>[{1},{5},{4},{2},{3,6}]=>[1,5,4,2,3,6]
[1,4,5,3,5,2]=>[{1},{6},{4},{2},{3,5}]=>[1,6,4,2,3,5]
[1,4,5,5,2,3]=>[{1},{5},{6},{2},{3,4}]=>[1,5,6,2,3,4]
[1,4,5,5,3,2]=>[{1},{6},{5},{2},{3,4}]=>[1,6,5,2,3,4]
[1,5,2,3,4,5]=>[{1},{3},{4},{5},{2,6}]=>[1,3,4,5,2,6]
[1,5,2,3,5,4]=>[{1},{3},{4},{6},{2,5}]=>[1,3,4,6,2,5]
[1,5,2,4,3,5]=>[{1},{3},{5},{4},{2,6}]=>[1,3,5,4,2,6]
[1,5,2,4,5,3]=>[{1},{3},{6},{4},{2,5}]=>[1,3,6,4,2,5]
[1,5,2,5,3,4]=>[{1},{3},{5},{6},{2,4}]=>[1,3,5,6,2,4]
[1,5,2,5,4,3]=>[{1},{3},{6},{5},{2,4}]=>[1,3,6,5,2,4]
[1,5,3,2,4,5]=>[{1},{4},{3},{5},{2,6}]=>[1,4,3,5,2,6]
[1,5,3,2,5,4]=>[{1},{4},{3},{6},{2,5}]=>[1,4,3,6,2,5]
[1,5,3,4,2,5]=>[{1},{5},{3},{4},{2,6}]=>[1,5,3,4,2,6]
[1,5,3,4,5,2]=>[{1},{6},{3},{4},{2,5}]=>[1,6,3,4,2,5]
[1,5,3,5,2,4]=>[{1},{5},{3},{6},{2,4}]=>[1,5,3,6,2,4]
[1,5,3,5,4,2]=>[{1},{6},{3},{5},{2,4}]=>[1,6,3,5,2,4]
[1,5,4,2,3,5]=>[{1},{4},{5},{3},{2,6}]=>[1,4,5,3,2,6]
[1,5,4,2,5,3]=>[{1},{4},{6},{3},{2,5}]=>[1,4,6,3,2,5]
[1,5,4,3,2,5]=>[{1},{5},{4},{3},{2,6}]=>[1,5,4,3,2,6]
[1,5,4,3,5,2]=>[{1},{6},{4},{3},{2,5}]=>[1,6,4,3,2,5]
[1,5,4,5,2,3]=>[{1},{5},{6},{3},{2,4}]=>[1,5,6,3,2,4]
[1,5,4,5,3,2]=>[{1},{6},{5},{3},{2,4}]=>[1,6,5,3,2,4]
[1,5,5,2,3,4]=>[{1},{4},{5},{6},{2,3}]=>[1,4,5,6,2,3]
[1,5,5,2,4,3]=>[{1},{4},{6},{5},{2,3}]=>[1,4,6,5,2,3]
[1,5,5,3,2,4]=>[{1},{5},{4},{6},{2,3}]=>[1,5,4,6,2,3]
[1,5,5,3,4,2]=>[{1},{6},{4},{5},{2,3}]=>[1,6,4,5,2,3]
[1,5,5,4,2,3]=>[{1},{5},{6},{4},{2,3}]=>[1,5,6,4,2,3]
[1,5,5,4,3,2]=>[{1},{6},{5},{4},{2,3}]=>[1,6,5,4,2,3]
[2,1,3,4,5,5]=>[{2},{1},{3},{4},{5,6}]=>[2,1,3,4,5,6]
[2,1,3,5,4,5]=>[{2},{1},{3},{5},{4,6}]=>[2,1,3,5,4,6]
[2,1,3,5,5,4]=>[{2},{1},{3},{6},{4,5}]=>[2,1,3,6,4,5]
[2,1,4,3,5,5]=>[{2},{1},{4},{3},{5,6}]=>[2,1,4,3,5,6]
[2,1,4,5,3,5]=>[{2},{1},{5},{3},{4,6}]=>[2,1,5,3,4,6]
[2,1,4,5,5,3]=>[{2},{1},{6},{3},{4,5}]=>[2,1,6,3,4,5]
[2,1,5,3,4,5]=>[{2},{1},{4},{5},{3,6}]=>[2,1,4,5,3,6]
[2,1,5,3,5,4]=>[{2},{1},{4},{6},{3,5}]=>[2,1,4,6,3,5]
[2,1,5,4,3,5]=>[{2},{1},{5},{4},{3,6}]=>[2,1,5,4,3,6]
[2,1,5,4,5,3]=>[{2},{1},{6},{4},{3,5}]=>[2,1,6,4,3,5]
[2,1,5,5,3,4]=>[{2},{1},{5},{6},{3,4}]=>[2,1,5,6,3,4]
[2,1,5,5,4,3]=>[{2},{1},{6},{5},{3,4}]=>[2,1,6,5,3,4]
[2,3,1,4,5,5]=>[{3},{1},{2},{4},{5,6}]=>[3,1,2,4,5,6]
[2,3,1,5,4,5]=>[{3},{1},{2},{5},{4,6}]=>[3,1,2,5,4,6]
[2,3,1,5,5,4]=>[{3},{1},{2},{6},{4,5}]=>[3,1,2,6,4,5]
[2,3,4,1,5,5]=>[{4},{1},{2},{3},{5,6}]=>[4,1,2,3,5,6]
[2,3,4,5,1,5]=>[{5},{1},{2},{3},{4,6}]=>[5,1,2,3,4,6]
[2,3,4,5,5,1]=>[{6},{1},{2},{3},{4,5}]=>[6,1,2,3,4,5]
[2,3,5,1,4,5]=>[{4},{1},{2},{5},{3,6}]=>[4,1,2,5,3,6]
[2,3,5,1,5,4]=>[{4},{1},{2},{6},{3,5}]=>[4,1,2,6,3,5]
[2,3,5,4,1,5]=>[{5},{1},{2},{4},{3,6}]=>[5,1,2,4,3,6]
[2,3,5,4,5,1]=>[{6},{1},{2},{4},{3,5}]=>[6,1,2,4,3,5]
[2,3,5,5,1,4]=>[{5},{1},{2},{6},{3,4}]=>[5,1,2,6,3,4]
[2,3,5,5,4,1]=>[{6},{1},{2},{5},{3,4}]=>[6,1,2,5,3,4]
[2,4,1,3,5,5]=>[{3},{1},{4},{2},{5,6}]=>[3,1,4,2,5,6]
[2,4,1,5,3,5]=>[{3},{1},{5},{2},{4,6}]=>[3,1,5,2,4,6]
[2,4,1,5,5,3]=>[{3},{1},{6},{2},{4,5}]=>[3,1,6,2,4,5]
[2,4,3,1,5,5]=>[{4},{1},{3},{2},{5,6}]=>[4,1,3,2,5,6]
[2,4,3,5,1,5]=>[{5},{1},{3},{2},{4,6}]=>[5,1,3,2,4,6]
[2,4,3,5,5,1]=>[{6},{1},{3},{2},{4,5}]=>[6,1,3,2,4,5]
[2,4,5,1,3,5]=>[{4},{1},{5},{2},{3,6}]=>[4,1,5,2,3,6]
[2,4,5,1,5,3]=>[{4},{1},{6},{2},{3,5}]=>[4,1,6,2,3,5]
[2,4,5,3,1,5]=>[{5},{1},{4},{2},{3,6}]=>[5,1,4,2,3,6]
[2,4,5,3,5,1]=>[{6},{1},{4},{2},{3,5}]=>[6,1,4,2,3,5]
[2,4,5,5,1,3]=>[{5},{1},{6},{2},{3,4}]=>[5,1,6,2,3,4]
[2,4,5,5,3,1]=>[{6},{1},{5},{2},{3,4}]=>[6,1,5,2,3,4]
[2,5,1,3,4,5]=>[{3},{1},{4},{5},{2,6}]=>[3,1,4,5,2,6]
[2,5,1,3,5,4]=>[{3},{1},{4},{6},{2,5}]=>[3,1,4,6,2,5]
[2,5,1,4,3,5]=>[{3},{1},{5},{4},{2,6}]=>[3,1,5,4,2,6]
[2,5,1,4,5,3]=>[{3},{1},{6},{4},{2,5}]=>[3,1,6,4,2,5]
[2,5,1,5,3,4]=>[{3},{1},{5},{6},{2,4}]=>[3,1,5,6,2,4]
[2,5,1,5,4,3]=>[{3},{1},{6},{5},{2,4}]=>[3,1,6,5,2,4]
[2,5,3,1,4,5]=>[{4},{1},{3},{5},{2,6}]=>[4,1,3,5,2,6]
[2,5,3,1,5,4]=>[{4},{1},{3},{6},{2,5}]=>[4,1,3,6,2,5]
[2,5,3,4,1,5]=>[{5},{1},{3},{4},{2,6}]=>[5,1,3,4,2,6]
[2,5,3,4,5,1]=>[{6},{1},{3},{4},{2,5}]=>[6,1,3,4,2,5]
[2,5,3,5,1,4]=>[{5},{1},{3},{6},{2,4}]=>[5,1,3,6,2,4]
[2,5,3,5,4,1]=>[{6},{1},{3},{5},{2,4}]=>[6,1,3,5,2,4]
[2,5,4,1,3,5]=>[{4},{1},{5},{3},{2,6}]=>[4,1,5,3,2,6]
[2,5,4,1,5,3]=>[{4},{1},{6},{3},{2,5}]=>[4,1,6,3,2,5]
[2,5,4,3,1,5]=>[{5},{1},{4},{3},{2,6}]=>[5,1,4,3,2,6]
[2,5,4,3,5,1]=>[{6},{1},{4},{3},{2,5}]=>[6,1,4,3,2,5]
[2,5,4,5,1,3]=>[{5},{1},{6},{3},{2,4}]=>[5,1,6,3,2,4]
[2,5,4,5,3,1]=>[{6},{1},{5},{3},{2,4}]=>[6,1,5,3,2,4]
[2,5,5,1,3,4]=>[{4},{1},{5},{6},{2,3}]=>[4,1,5,6,2,3]
[2,5,5,1,4,3]=>[{4},{1},{6},{5},{2,3}]=>[4,1,6,5,2,3]
[2,5,5,3,1,4]=>[{5},{1},{4},{6},{2,3}]=>[5,1,4,6,2,3]
[2,5,5,3,4,1]=>[{6},{1},{4},{5},{2,3}]=>[6,1,4,5,2,3]
[2,5,5,4,1,3]=>[{5},{1},{6},{4},{2,3}]=>[5,1,6,4,2,3]
[2,5,5,4,3,1]=>[{6},{1},{5},{4},{2,3}]=>[6,1,5,4,2,3]
[3,1,2,4,5,5]=>[{2},{3},{1},{4},{5,6}]=>[2,3,1,4,5,6]
[3,1,2,5,4,5]=>[{2},{3},{1},{5},{4,6}]=>[2,3,1,5,4,6]
[3,1,2,5,5,4]=>[{2},{3},{1},{6},{4,5}]=>[2,3,1,6,4,5]
[3,1,4,2,5,5]=>[{2},{4},{1},{3},{5,6}]=>[2,4,1,3,5,6]
[3,1,4,5,2,5]=>[{2},{5},{1},{3},{4,6}]=>[2,5,1,3,4,6]
[3,1,4,5,5,2]=>[{2},{6},{1},{3},{4,5}]=>[2,6,1,3,4,5]
[3,1,5,2,4,5]=>[{2},{4},{1},{5},{3,6}]=>[2,4,1,5,3,6]
[3,1,5,2,5,4]=>[{2},{4},{1},{6},{3,5}]=>[2,4,1,6,3,5]
[3,1,5,4,2,5]=>[{2},{5},{1},{4},{3,6}]=>[2,5,1,4,3,6]
[3,1,5,4,5,2]=>[{2},{6},{1},{4},{3,5}]=>[2,6,1,4,3,5]
[3,1,5,5,2,4]=>[{2},{5},{1},{6},{3,4}]=>[2,5,1,6,3,4]
[3,1,5,5,4,2]=>[{2},{6},{1},{5},{3,4}]=>[2,6,1,5,3,4]
[3,2,1,4,5,5]=>[{3},{2},{1},{4},{5,6}]=>[3,2,1,4,5,6]
[3,2,1,5,4,5]=>[{3},{2},{1},{5},{4,6}]=>[3,2,1,5,4,6]
[3,2,1,5,5,4]=>[{3},{2},{1},{6},{4,5}]=>[3,2,1,6,4,5]
[3,2,4,1,5,5]=>[{4},{2},{1},{3},{5,6}]=>[4,2,1,3,5,6]
[3,2,4,5,1,5]=>[{5},{2},{1},{3},{4,6}]=>[5,2,1,3,4,6]
[3,2,4,5,5,1]=>[{6},{2},{1},{3},{4,5}]=>[6,2,1,3,4,5]
[3,2,5,1,4,5]=>[{4},{2},{1},{5},{3,6}]=>[4,2,1,5,3,6]
[3,2,5,1,5,4]=>[{4},{2},{1},{6},{3,5}]=>[4,2,1,6,3,5]
[3,2,5,4,1,5]=>[{5},{2},{1},{4},{3,6}]=>[5,2,1,4,3,6]
[3,2,5,4,5,1]=>[{6},{2},{1},{4},{3,5}]=>[6,2,1,4,3,5]
[3,2,5,5,1,4]=>[{5},{2},{1},{6},{3,4}]=>[5,2,1,6,3,4]
[3,2,5,5,4,1]=>[{6},{2},{1},{5},{3,4}]=>[6,2,1,5,3,4]
[3,4,1,2,5,5]=>[{3},{4},{1},{2},{5,6}]=>[3,4,1,2,5,6]
[3,4,1,5,2,5]=>[{3},{5},{1},{2},{4,6}]=>[3,5,1,2,4,6]
[3,4,1,5,5,2]=>[{3},{6},{1},{2},{4,5}]=>[3,6,1,2,4,5]
[3,4,2,1,5,5]=>[{4},{3},{1},{2},{5,6}]=>[4,3,1,2,5,6]
[3,4,2,5,1,5]=>[{5},{3},{1},{2},{4,6}]=>[5,3,1,2,4,6]
[3,4,2,5,5,1]=>[{6},{3},{1},{2},{4,5}]=>[6,3,1,2,4,5]
[3,4,5,1,2,5]=>[{4},{5},{1},{2},{3,6}]=>[4,5,1,2,3,6]
[3,4,5,1,5,2]=>[{4},{6},{1},{2},{3,5}]=>[4,6,1,2,3,5]
[3,4,5,2,1,5]=>[{5},{4},{1},{2},{3,6}]=>[5,4,1,2,3,6]
[3,4,5,2,5,1]=>[{6},{4},{1},{2},{3,5}]=>[6,4,1,2,3,5]
[3,4,5,5,1,2]=>[{5},{6},{1},{2},{3,4}]=>[5,6,1,2,3,4]
[3,4,5,5,2,1]=>[{6},{5},{1},{2},{3,4}]=>[6,5,1,2,3,4]
[3,5,1,2,4,5]=>[{3},{4},{1},{5},{2,6}]=>[3,4,1,5,2,6]
[3,5,1,2,5,4]=>[{3},{4},{1},{6},{2,5}]=>[3,4,1,6,2,5]
[3,5,1,4,2,5]=>[{3},{5},{1},{4},{2,6}]=>[3,5,1,4,2,6]
[3,5,1,4,5,2]=>[{3},{6},{1},{4},{2,5}]=>[3,6,1,4,2,5]
[3,5,1,5,2,4]=>[{3},{5},{1},{6},{2,4}]=>[3,5,1,6,2,4]
[3,5,1,5,4,2]=>[{3},{6},{1},{5},{2,4}]=>[3,6,1,5,2,4]
[3,5,2,1,4,5]=>[{4},{3},{1},{5},{2,6}]=>[4,3,1,5,2,6]
[3,5,2,1,5,4]=>[{4},{3},{1},{6},{2,5}]=>[4,3,1,6,2,5]
[3,5,2,4,1,5]=>[{5},{3},{1},{4},{2,6}]=>[5,3,1,4,2,6]
[3,5,2,4,5,1]=>[{6},{3},{1},{4},{2,5}]=>[6,3,1,4,2,5]
[3,5,2,5,1,4]=>[{5},{3},{1},{6},{2,4}]=>[5,3,1,6,2,4]
[3,5,2,5,4,1]=>[{6},{3},{1},{5},{2,4}]=>[6,3,1,5,2,4]
[3,5,4,1,2,5]=>[{4},{5},{1},{3},{2,6}]=>[4,5,1,3,2,6]
[3,5,4,1,5,2]=>[{4},{6},{1},{3},{2,5}]=>[4,6,1,3,2,5]
[3,5,4,2,1,5]=>[{5},{4},{1},{3},{2,6}]=>[5,4,1,3,2,6]
[3,5,4,2,5,1]=>[{6},{4},{1},{3},{2,5}]=>[6,4,1,3,2,5]
[3,5,4,5,1,2]=>[{5},{6},{1},{3},{2,4}]=>[5,6,1,3,2,4]
[3,5,4,5,2,1]=>[{6},{5},{1},{3},{2,4}]=>[6,5,1,3,2,4]
[3,5,5,1,2,4]=>[{4},{5},{1},{6},{2,3}]=>[4,5,1,6,2,3]
[3,5,5,1,4,2]=>[{4},{6},{1},{5},{2,3}]=>[4,6,1,5,2,3]
[3,5,5,2,1,4]=>[{5},{4},{1},{6},{2,3}]=>[5,4,1,6,2,3]
[3,5,5,2,4,1]=>[{6},{4},{1},{5},{2,3}]=>[6,4,1,5,2,3]
[3,5,5,4,1,2]=>[{5},{6},{1},{4},{2,3}]=>[5,6,1,4,2,3]
[3,5,5,4,2,1]=>[{6},{5},{1},{4},{2,3}]=>[6,5,1,4,2,3]
[4,1,2,3,5,5]=>[{2},{3},{4},{1},{5,6}]=>[2,3,4,1,5,6]
[4,1,2,5,3,5]=>[{2},{3},{5},{1},{4,6}]=>[2,3,5,1,4,6]
[4,1,2,5,5,3]=>[{2},{3},{6},{1},{4,5}]=>[2,3,6,1,4,5]
[4,1,3,2,5,5]=>[{2},{4},{3},{1},{5,6}]=>[2,4,3,1,5,6]
[4,1,3,5,2,5]=>[{2},{5},{3},{1},{4,6}]=>[2,5,3,1,4,6]
[4,1,3,5,5,2]=>[{2},{6},{3},{1},{4,5}]=>[2,6,3,1,4,5]
[4,1,5,2,3,5]=>[{2},{4},{5},{1},{3,6}]=>[2,4,5,1,3,6]
[4,1,5,2,5,3]=>[{2},{4},{6},{1},{3,5}]=>[2,4,6,1,3,5]
[4,1,5,3,2,5]=>[{2},{5},{4},{1},{3,6}]=>[2,5,4,1,3,6]
[4,1,5,3,5,2]=>[{2},{6},{4},{1},{3,5}]=>[2,6,4,1,3,5]
[4,1,5,5,2,3]=>[{2},{5},{6},{1},{3,4}]=>[2,5,6,1,3,4]
[4,1,5,5,3,2]=>[{2},{6},{5},{1},{3,4}]=>[2,6,5,1,3,4]
[4,2,1,3,5,5]=>[{3},{2},{4},{1},{5,6}]=>[3,2,4,1,5,6]
[4,2,1,5,3,5]=>[{3},{2},{5},{1},{4,6}]=>[3,2,5,1,4,6]
[4,2,1,5,5,3]=>[{3},{2},{6},{1},{4,5}]=>[3,2,6,1,4,5]
[4,2,3,1,5,5]=>[{4},{2},{3},{1},{5,6}]=>[4,2,3,1,5,6]
[4,2,3,5,1,5]=>[{5},{2},{3},{1},{4,6}]=>[5,2,3,1,4,6]
[4,2,3,5,5,1]=>[{6},{2},{3},{1},{4,5}]=>[6,2,3,1,4,5]
[4,2,5,1,3,5]=>[{4},{2},{5},{1},{3,6}]=>[4,2,5,1,3,6]
[4,2,5,1,5,3]=>[{4},{2},{6},{1},{3,5}]=>[4,2,6,1,3,5]
[4,2,5,3,1,5]=>[{5},{2},{4},{1},{3,6}]=>[5,2,4,1,3,6]
[4,2,5,3,5,1]=>[{6},{2},{4},{1},{3,5}]=>[6,2,4,1,3,5]
[4,2,5,5,1,3]=>[{5},{2},{6},{1},{3,4}]=>[5,2,6,1,3,4]
[4,2,5,5,3,1]=>[{6},{2},{5},{1},{3,4}]=>[6,2,5,1,3,4]
[4,3,1,2,5,5]=>[{3},{4},{2},{1},{5,6}]=>[3,4,2,1,5,6]
[4,3,1,5,2,5]=>[{3},{5},{2},{1},{4,6}]=>[3,5,2,1,4,6]
[4,3,1,5,5,2]=>[{3},{6},{2},{1},{4,5}]=>[3,6,2,1,4,5]
[4,3,2,1,5,5]=>[{4},{3},{2},{1},{5,6}]=>[4,3,2,1,5,6]
[4,3,2,5,1,5]=>[{5},{3},{2},{1},{4,6}]=>[5,3,2,1,4,6]
[4,3,2,5,5,1]=>[{6},{3},{2},{1},{4,5}]=>[6,3,2,1,4,5]
[4,3,5,1,2,5]=>[{4},{5},{2},{1},{3,6}]=>[4,5,2,1,3,6]
[4,3,5,1,5,2]=>[{4},{6},{2},{1},{3,5}]=>[4,6,2,1,3,5]
[4,3,5,2,1,5]=>[{5},{4},{2},{1},{3,6}]=>[5,4,2,1,3,6]
[4,3,5,2,5,1]=>[{6},{4},{2},{1},{3,5}]=>[6,4,2,1,3,5]
[4,3,5,5,1,2]=>[{5},{6},{2},{1},{3,4}]=>[5,6,2,1,3,4]
[4,3,5,5,2,1]=>[{6},{5},{2},{1},{3,4}]=>[6,5,2,1,3,4]
[4,5,1,2,3,5]=>[{3},{4},{5},{1},{2,6}]=>[3,4,5,1,2,6]
[4,5,1,2,5,3]=>[{3},{4},{6},{1},{2,5}]=>[3,4,6,1,2,5]
[4,5,1,3,2,5]=>[{3},{5},{4},{1},{2,6}]=>[3,5,4,1,2,6]
[4,5,1,3,5,2]=>[{3},{6},{4},{1},{2,5}]=>[3,6,4,1,2,5]
[4,5,1,5,2,3]=>[{3},{5},{6},{1},{2,4}]=>[3,5,6,1,2,4]
[4,5,1,5,3,2]=>[{3},{6},{5},{1},{2,4}]=>[3,6,5,1,2,4]
[4,5,2,1,3,5]=>[{4},{3},{5},{1},{2,6}]=>[4,3,5,1,2,6]
[4,5,2,1,5,3]=>[{4},{3},{6},{1},{2,5}]=>[4,3,6,1,2,5]
[4,5,2,3,1,5]=>[{5},{3},{4},{1},{2,6}]=>[5,3,4,1,2,6]
[4,5,2,3,5,1]=>[{6},{3},{4},{1},{2,5}]=>[6,3,4,1,2,5]
[4,5,2,5,1,3]=>[{5},{3},{6},{1},{2,4}]=>[5,3,6,1,2,4]
[4,5,2,5,3,1]=>[{6},{3},{5},{1},{2,4}]=>[6,3,5,1,2,4]
[4,5,3,1,2,5]=>[{4},{5},{3},{1},{2,6}]=>[4,5,3,1,2,6]
[4,5,3,1,5,2]=>[{4},{6},{3},{1},{2,5}]=>[4,6,3,1,2,5]
[4,5,3,2,1,5]=>[{5},{4},{3},{1},{2,6}]=>[5,4,3,1,2,6]
[4,5,3,2,5,1]=>[{6},{4},{3},{1},{2,5}]=>[6,4,3,1,2,5]
[4,5,3,5,1,2]=>[{5},{6},{3},{1},{2,4}]=>[5,6,3,1,2,4]
[4,5,3,5,2,1]=>[{6},{5},{3},{1},{2,4}]=>[6,5,3,1,2,4]
[4,5,5,1,2,3]=>[{4},{5},{6},{1},{2,3}]=>[4,5,6,1,2,3]
[4,5,5,1,3,2]=>[{4},{6},{5},{1},{2,3}]=>[4,6,5,1,2,3]
[4,5,5,2,1,3]=>[{5},{4},{6},{1},{2,3}]=>[5,4,6,1,2,3]
[4,5,5,2,3,1]=>[{6},{4},{5},{1},{2,3}]=>[6,4,5,1,2,3]
[4,5,5,3,1,2]=>[{5},{6},{4},{1},{2,3}]=>[5,6,4,1,2,3]
[4,5,5,3,2,1]=>[{6},{5},{4},{1},{2,3}]=>[6,5,4,1,2,3]
[5,1,2,3,4,5]=>[{2},{3},{4},{5},{1,6}]=>[2,3,4,5,1,6]
[5,1,2,3,5,4]=>[{2},{3},{4},{6},{1,5}]=>[2,3,4,6,1,5]
[5,1,2,4,3,5]=>[{2},{3},{5},{4},{1,6}]=>[2,3,5,4,1,6]
[5,1,2,4,5,3]=>[{2},{3},{6},{4},{1,5}]=>[2,3,6,4,1,5]
[5,1,2,5,3,4]=>[{2},{3},{5},{6},{1,4}]=>[2,3,5,6,1,4]
[5,1,2,5,4,3]=>[{2},{3},{6},{5},{1,4}]=>[2,3,6,5,1,4]
[5,1,3,2,4,5]=>[{2},{4},{3},{5},{1,6}]=>[2,4,3,5,1,6]
[5,1,3,2,5,4]=>[{2},{4},{3},{6},{1,5}]=>[2,4,3,6,1,5]
[5,1,3,4,2,5]=>[{2},{5},{3},{4},{1,6}]=>[2,5,3,4,1,6]
[5,1,3,4,5,2]=>[{2},{6},{3},{4},{1,5}]=>[2,6,3,4,1,5]
[5,1,3,5,2,4]=>[{2},{5},{3},{6},{1,4}]=>[2,5,3,6,1,4]
[5,1,3,5,4,2]=>[{2},{6},{3},{5},{1,4}]=>[2,6,3,5,1,4]
[5,1,4,2,3,5]=>[{2},{4},{5},{3},{1,6}]=>[2,4,5,3,1,6]
[5,1,4,2,5,3]=>[{2},{4},{6},{3},{1,5}]=>[2,4,6,3,1,5]
[5,1,4,3,2,5]=>[{2},{5},{4},{3},{1,6}]=>[2,5,4,3,1,6]
[5,1,4,3,5,2]=>[{2},{6},{4},{3},{1,5}]=>[2,6,4,3,1,5]
[5,1,4,5,2,3]=>[{2},{5},{6},{3},{1,4}]=>[2,5,6,3,1,4]
[5,1,4,5,3,2]=>[{2},{6},{5},{3},{1,4}]=>[2,6,5,3,1,4]
[5,1,5,2,3,4]=>[{2},{4},{5},{6},{1,3}]=>[2,4,5,6,1,3]
[5,1,5,2,4,3]=>[{2},{4},{6},{5},{1,3}]=>[2,4,6,5,1,3]
[5,1,5,3,2,4]=>[{2},{5},{4},{6},{1,3}]=>[2,5,4,6,1,3]
[5,1,5,3,4,2]=>[{2},{6},{4},{5},{1,3}]=>[2,6,4,5,1,3]
[5,1,5,4,2,3]=>[{2},{5},{6},{4},{1,3}]=>[2,5,6,4,1,3]
[5,1,5,4,3,2]=>[{2},{6},{5},{4},{1,3}]=>[2,6,5,4,1,3]
[5,2,1,3,4,5]=>[{3},{2},{4},{5},{1,6}]=>[3,2,4,5,1,6]
[5,2,1,3,5,4]=>[{3},{2},{4},{6},{1,5}]=>[3,2,4,6,1,5]
[5,2,1,4,3,5]=>[{3},{2},{5},{4},{1,6}]=>[3,2,5,4,1,6]
[5,2,1,4,5,3]=>[{3},{2},{6},{4},{1,5}]=>[3,2,6,4,1,5]
[5,2,1,5,3,4]=>[{3},{2},{5},{6},{1,4}]=>[3,2,5,6,1,4]
[5,2,1,5,4,3]=>[{3},{2},{6},{5},{1,4}]=>[3,2,6,5,1,4]
[5,2,3,1,4,5]=>[{4},{2},{3},{5},{1,6}]=>[4,2,3,5,1,6]
[5,2,3,1,5,4]=>[{4},{2},{3},{6},{1,5}]=>[4,2,3,6,1,5]
[5,2,3,4,1,5]=>[{5},{2},{3},{4},{1,6}]=>[5,2,3,4,1,6]
[5,2,3,4,5,1]=>[{6},{2},{3},{4},{1,5}]=>[6,2,3,4,1,5]
[5,2,3,5,1,4]=>[{5},{2},{3},{6},{1,4}]=>[5,2,3,6,1,4]
[5,2,3,5,4,1]=>[{6},{2},{3},{5},{1,4}]=>[6,2,3,5,1,4]
[5,2,4,1,3,5]=>[{4},{2},{5},{3},{1,6}]=>[4,2,5,3,1,6]
[5,2,4,1,5,3]=>[{4},{2},{6},{3},{1,5}]=>[4,2,6,3,1,5]
[5,2,4,3,1,5]=>[{5},{2},{4},{3},{1,6}]=>[5,2,4,3,1,6]
[5,2,4,3,5,1]=>[{6},{2},{4},{3},{1,5}]=>[6,2,4,3,1,5]
[5,2,4,5,1,3]=>[{5},{2},{6},{3},{1,4}]=>[5,2,6,3,1,4]
[5,2,4,5,3,1]=>[{6},{2},{5},{3},{1,4}]=>[6,2,5,3,1,4]
[5,2,5,1,3,4]=>[{4},{2},{5},{6},{1,3}]=>[4,2,5,6,1,3]
[5,2,5,1,4,3]=>[{4},{2},{6},{5},{1,3}]=>[4,2,6,5,1,3]
[5,2,5,3,1,4]=>[{5},{2},{4},{6},{1,3}]=>[5,2,4,6,1,3]
[5,2,5,3,4,1]=>[{6},{2},{4},{5},{1,3}]=>[6,2,4,5,1,3]
[5,2,5,4,1,3]=>[{5},{2},{6},{4},{1,3}]=>[5,2,6,4,1,3]
[5,2,5,4,3,1]=>[{6},{2},{5},{4},{1,3}]=>[6,2,5,4,1,3]
[5,3,1,2,4,5]=>[{3},{4},{2},{5},{1,6}]=>[3,4,2,5,1,6]
[5,3,1,2,5,4]=>[{3},{4},{2},{6},{1,5}]=>[3,4,2,6,1,5]
[5,3,1,4,2,5]=>[{3},{5},{2},{4},{1,6}]=>[3,5,2,4,1,6]
[5,3,1,4,5,2]=>[{3},{6},{2},{4},{1,5}]=>[3,6,2,4,1,5]
[5,3,1,5,2,4]=>[{3},{5},{2},{6},{1,4}]=>[3,5,2,6,1,4]
[5,3,1,5,4,2]=>[{3},{6},{2},{5},{1,4}]=>[3,6,2,5,1,4]
[5,3,2,1,4,5]=>[{4},{3},{2},{5},{1,6}]=>[4,3,2,5,1,6]
[5,3,2,1,5,4]=>[{4},{3},{2},{6},{1,5}]=>[4,3,2,6,1,5]
[5,3,2,4,1,5]=>[{5},{3},{2},{4},{1,6}]=>[5,3,2,4,1,6]
[5,3,2,4,5,1]=>[{6},{3},{2},{4},{1,5}]=>[6,3,2,4,1,5]
[5,3,2,5,1,4]=>[{5},{3},{2},{6},{1,4}]=>[5,3,2,6,1,4]
[5,3,2,5,4,1]=>[{6},{3},{2},{5},{1,4}]=>[6,3,2,5,1,4]
[5,3,4,1,2,5]=>[{4},{5},{2},{3},{1,6}]=>[4,5,2,3,1,6]
[5,3,4,1,5,2]=>[{4},{6},{2},{3},{1,5}]=>[4,6,2,3,1,5]
[5,3,4,2,1,5]=>[{5},{4},{2},{3},{1,6}]=>[5,4,2,3,1,6]
[5,3,4,2,5,1]=>[{6},{4},{2},{3},{1,5}]=>[6,4,2,3,1,5]
[5,3,4,5,1,2]=>[{5},{6},{2},{3},{1,4}]=>[5,6,2,3,1,4]
[5,3,4,5,2,1]=>[{6},{5},{2},{3},{1,4}]=>[6,5,2,3,1,4]
[5,3,5,1,2,4]=>[{4},{5},{2},{6},{1,3}]=>[4,5,2,6,1,3]
[5,3,5,1,4,2]=>[{4},{6},{2},{5},{1,3}]=>[4,6,2,5,1,3]
[5,3,5,2,1,4]=>[{5},{4},{2},{6},{1,3}]=>[5,4,2,6,1,3]
[5,3,5,2,4,1]=>[{6},{4},{2},{5},{1,3}]=>[6,4,2,5,1,3]
[5,3,5,4,1,2]=>[{5},{6},{2},{4},{1,3}]=>[5,6,2,4,1,3]
[5,3,5,4,2,1]=>[{6},{5},{2},{4},{1,3}]=>[6,5,2,4,1,3]
[5,4,1,2,3,5]=>[{3},{4},{5},{2},{1,6}]=>[3,4,5,2,1,6]
[5,4,1,2,5,3]=>[{3},{4},{6},{2},{1,5}]=>[3,4,6,2,1,5]
[5,4,1,3,2,5]=>[{3},{5},{4},{2},{1,6}]=>[3,5,4,2,1,6]
[5,4,1,3,5,2]=>[{3},{6},{4},{2},{1,5}]=>[3,6,4,2,1,5]
[5,4,1,5,2,3]=>[{3},{5},{6},{2},{1,4}]=>[3,5,6,2,1,4]
[5,4,1,5,3,2]=>[{3},{6},{5},{2},{1,4}]=>[3,6,5,2,1,4]
[5,4,2,1,3,5]=>[{4},{3},{5},{2},{1,6}]=>[4,3,5,2,1,6]
[5,4,2,1,5,3]=>[{4},{3},{6},{2},{1,5}]=>[4,3,6,2,1,5]
[5,4,2,3,1,5]=>[{5},{3},{4},{2},{1,6}]=>[5,3,4,2,1,6]
[5,4,2,3,5,1]=>[{6},{3},{4},{2},{1,5}]=>[6,3,4,2,1,5]
[5,4,2,5,1,3]=>[{5},{3},{6},{2},{1,4}]=>[5,3,6,2,1,4]
[5,4,2,5,3,1]=>[{6},{3},{5},{2},{1,4}]=>[6,3,5,2,1,4]
[5,4,3,1,2,5]=>[{4},{5},{3},{2},{1,6}]=>[4,5,3,2,1,6]
[5,4,3,1,5,2]=>[{4},{6},{3},{2},{1,5}]=>[4,6,3,2,1,5]
[5,4,3,2,1,5]=>[{5},{4},{3},{2},{1,6}]=>[5,4,3,2,1,6]
[5,4,3,2,5,1]=>[{6},{4},{3},{2},{1,5}]=>[6,4,3,2,1,5]
[5,4,3,5,1,2]=>[{5},{6},{3},{2},{1,4}]=>[5,6,3,2,1,4]
[5,4,3,5,2,1]=>[{6},{5},{3},{2},{1,4}]=>[6,5,3,2,1,4]
[5,4,5,1,2,3]=>[{4},{5},{6},{2},{1,3}]=>[4,5,6,2,1,3]
[5,4,5,1,3,2]=>[{4},{6},{5},{2},{1,3}]=>[4,6,5,2,1,3]
[5,4,5,2,1,3]=>[{5},{4},{6},{2},{1,3}]=>[5,4,6,2,1,3]
[5,4,5,2,3,1]=>[{6},{4},{5},{2},{1,3}]=>[6,4,5,2,1,3]
[5,4,5,3,1,2]=>[{5},{6},{4},{2},{1,3}]=>[5,6,4,2,1,3]
[5,4,5,3,2,1]=>[{6},{5},{4},{2},{1,3}]=>[6,5,4,2,1,3]
[5,5,1,2,3,4]=>[{3},{4},{5},{6},{1,2}]=>[3,4,5,6,1,2]
[5,5,1,2,4,3]=>[{3},{4},{6},{5},{1,2}]=>[3,4,6,5,1,2]
[5,5,1,3,2,4]=>[{3},{5},{4},{6},{1,2}]=>[3,5,4,6,1,2]
[5,5,1,3,4,2]=>[{3},{6},{4},{5},{1,2}]=>[3,6,4,5,1,2]
[5,5,1,4,2,3]=>[{3},{5},{6},{4},{1,2}]=>[3,5,6,4,1,2]
[5,5,1,4,3,2]=>[{3},{6},{5},{4},{1,2}]=>[3,6,5,4,1,2]
[5,5,2,1,3,4]=>[{4},{3},{5},{6},{1,2}]=>[4,3,5,6,1,2]
[5,5,2,1,4,3]=>[{4},{3},{6},{5},{1,2}]=>[4,3,6,5,1,2]
[5,5,2,3,1,4]=>[{5},{3},{4},{6},{1,2}]=>[5,3,4,6,1,2]
[5,5,2,3,4,1]=>[{6},{3},{4},{5},{1,2}]=>[6,3,4,5,1,2]
[5,5,2,4,1,3]=>[{5},{3},{6},{4},{1,2}]=>[5,3,6,4,1,2]
[5,5,2,4,3,1]=>[{6},{3},{5},{4},{1,2}]=>[6,3,5,4,1,2]
[5,5,3,1,2,4]=>[{4},{5},{3},{6},{1,2}]=>[4,5,3,6,1,2]
[5,5,3,1,4,2]=>[{4},{6},{3},{5},{1,2}]=>[4,6,3,5,1,2]
[5,5,3,2,1,4]=>[{5},{4},{3},{6},{1,2}]=>[5,4,3,6,1,2]
[5,5,3,2,4,1]=>[{6},{4},{3},{5},{1,2}]=>[6,4,3,5,1,2]
[5,5,3,4,1,2]=>[{5},{6},{3},{4},{1,2}]=>[5,6,3,4,1,2]
[5,5,3,4,2,1]=>[{6},{5},{3},{4},{1,2}]=>[6,5,3,4,1,2]
[5,5,4,1,2,3]=>[{4},{5},{6},{3},{1,2}]=>[4,5,6,3,1,2]
[5,5,4,1,3,2]=>[{4},{6},{5},{3},{1,2}]=>[4,6,5,3,1,2]
[5,5,4,2,1,3]=>[{5},{4},{6},{3},{1,2}]=>[5,4,6,3,1,2]
[5,5,4,2,3,1]=>[{6},{4},{5},{3},{1,2}]=>[6,4,5,3,1,2]
[5,5,4,3,1,2]=>[{5},{6},{4},{3},{1,2}]=>[5,6,4,3,1,2]
[5,5,4,3,2,1]=>[{6},{5},{4},{3},{1,2}]=>[6,5,4,3,1,2]
[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}]=>[1,2,3,4,6,5]
[1,2,3,5,4,6]=>[{1},{2},{3},{5},{4},{6}]=>[1,2,3,5,4,6]
[1,2,3,5,6,4]=>[{1},{2},{3},{6},{4},{5}]=>[1,2,3,6,4,5]
[1,2,3,6,4,5]=>[{1},{2},{3},{5},{6},{4}]=>[1,2,3,5,6,4]
[1,2,3,6,5,4]=>[{1},{2},{3},{6},{5},{4}]=>[1,2,3,6,5,4]
[1,2,4,3,5,6]=>[{1},{2},{4},{3},{5},{6}]=>[1,2,4,3,5,6]
[1,2,4,3,6,5]=>[{1},{2},{4},{3},{6},{5}]=>[1,2,4,3,6,5]
[1,2,4,5,3,6]=>[{1},{2},{5},{3},{4},{6}]=>[1,2,5,3,4,6]
[1,2,4,5,6,3]=>[{1},{2},{6},{3},{4},{5}]=>[1,2,6,3,4,5]
[1,2,4,6,3,5]=>[{1},{2},{5},{3},{6},{4}]=>[1,2,5,3,6,4]
[1,2,4,6,5,3]=>[{1},{2},{6},{3},{5},{4}]=>[1,2,6,3,5,4]
[1,2,5,3,4,6]=>[{1},{2},{4},{5},{3},{6}]=>[1,2,4,5,3,6]
[1,2,5,3,6,4]=>[{1},{2},{4},{6},{3},{5}]=>[1,2,4,6,3,5]
[1,2,5,4,3,6]=>[{1},{2},{5},{4},{3},{6}]=>[1,2,5,4,3,6]
[1,2,5,4,6,3]=>[{1},{2},{6},{4},{3},{5}]=>[1,2,6,4,3,5]
[1,2,5,6,3,4]=>[{1},{2},{5},{6},{3},{4}]=>[1,2,5,6,3,4]
[1,2,5,6,4,3]=>[{1},{2},{6},{5},{3},{4}]=>[1,2,6,5,3,4]
[1,2,6,3,4,5]=>[{1},{2},{4},{5},{6},{3}]=>[1,2,4,5,6,3]
[1,2,6,3,5,4]=>[{1},{2},{4},{6},{5},{3}]=>[1,2,4,6,5,3]
[1,2,6,4,3,5]=>[{1},{2},{5},{4},{6},{3}]=>[1,2,5,4,6,3]
[1,2,6,4,5,3]=>[{1},{2},{6},{4},{5},{3}]=>[1,2,6,4,5,3]
[1,2,6,5,3,4]=>[{1},{2},{5},{6},{4},{3}]=>[1,2,5,6,4,3]
[1,2,6,5,4,3]=>[{1},{2},{6},{5},{4},{3}]=>[1,2,6,5,4,3]
[1,3,2,4,5,6]=>[{1},{3},{2},{4},{5},{6}]=>[1,3,2,4,5,6]
[1,3,2,4,6,5]=>[{1},{3},{2},{4},{6},{5}]=>[1,3,2,4,6,5]
[1,3,2,5,4,6]=>[{1},{3},{2},{5},{4},{6}]=>[1,3,2,5,4,6]
[1,3,2,5,6,4]=>[{1},{3},{2},{6},{4},{5}]=>[1,3,2,6,4,5]
[1,3,2,6,4,5]=>[{1},{3},{2},{5},{6},{4}]=>[1,3,2,5,6,4]
[1,3,2,6,5,4]=>[{1},{3},{2},{6},{5},{4}]=>[1,3,2,6,5,4]
[1,3,4,2,5,6]=>[{1},{4},{2},{3},{5},{6}]=>[1,4,2,3,5,6]
[1,3,4,2,6,5]=>[{1},{4},{2},{3},{6},{5}]=>[1,4,2,3,6,5]
[1,3,4,5,2,6]=>[{1},{5},{2},{3},{4},{6}]=>[1,5,2,3,4,6]
[1,3,4,5,6,2]=>[{1},{6},{2},{3},{4},{5}]=>[1,6,2,3,4,5]
[1,3,4,6,2,5]=>[{1},{5},{2},{3},{6},{4}]=>[1,5,2,3,6,4]
[1,3,4,6,5,2]=>[{1},{6},{2},{3},{5},{4}]=>[1,6,2,3,5,4]
[1,3,5,2,4,6]=>[{1},{4},{2},{5},{3},{6}]=>[1,4,2,5,3,6]
[1,3,5,2,6,4]=>[{1},{4},{2},{6},{3},{5}]=>[1,4,2,6,3,5]
[1,3,5,4,2,6]=>[{1},{5},{2},{4},{3},{6}]=>[1,5,2,4,3,6]
[1,3,5,4,6,2]=>[{1},{6},{2},{4},{3},{5}]=>[1,6,2,4,3,5]
[1,3,5,6,2,4]=>[{1},{5},{2},{6},{3},{4}]=>[1,5,2,6,3,4]
[1,3,5,6,4,2]=>[{1},{6},{2},{5},{3},{4}]=>[1,6,2,5,3,4]
[1,3,6,2,4,5]=>[{1},{4},{2},{5},{6},{3}]=>[1,4,2,5,6,3]
[1,3,6,2,5,4]=>[{1},{4},{2},{6},{5},{3}]=>[1,4,2,6,5,3]
[1,3,6,4,2,5]=>[{1},{5},{2},{4},{6},{3}]=>[1,5,2,4,6,3]
[1,3,6,4,5,2]=>[{1},{6},{2},{4},{5},{3}]=>[1,6,2,4,5,3]
[1,3,6,5,2,4]=>[{1},{5},{2},{6},{4},{3}]=>[1,5,2,6,4,3]
[1,3,6,5,4,2]=>[{1},{6},{2},{5},{4},{3}]=>[1,6,2,5,4,3]
[1,4,2,3,5,6]=>[{1},{3},{4},{2},{5},{6}]=>[1,3,4,2,5,6]
[1,4,2,3,6,5]=>[{1},{3},{4},{2},{6},{5}]=>[1,3,4,2,6,5]
[1,4,2,5,3,6]=>[{1},{3},{5},{2},{4},{6}]=>[1,3,5,2,4,6]
[1,4,2,5,6,3]=>[{1},{3},{6},{2},{4},{5}]=>[1,3,6,2,4,5]
[1,4,2,6,3,5]=>[{1},{3},{5},{2},{6},{4}]=>[1,3,5,2,6,4]
[1,4,2,6,5,3]=>[{1},{3},{6},{2},{5},{4}]=>[1,3,6,2,5,4]
[1,4,3,2,5,6]=>[{1},{4},{3},{2},{5},{6}]=>[1,4,3,2,5,6]
[1,4,3,2,6,5]=>[{1},{4},{3},{2},{6},{5}]=>[1,4,3,2,6,5]
[1,4,3,5,2,6]=>[{1},{5},{3},{2},{4},{6}]=>[1,5,3,2,4,6]
[1,4,3,5,6,2]=>[{1},{6},{3},{2},{4},{5}]=>[1,6,3,2,4,5]
[1,4,3,6,2,5]=>[{1},{5},{3},{2},{6},{4}]=>[1,5,3,2,6,4]
[1,4,3,6,5,2]=>[{1},{6},{3},{2},{5},{4}]=>[1,6,3,2,5,4]
[1,4,5,2,3,6]=>[{1},{4},{5},{2},{3},{6}]=>[1,4,5,2,3,6]
[1,4,5,2,6,3]=>[{1},{4},{6},{2},{3},{5}]=>[1,4,6,2,3,5]
[1,4,5,3,2,6]=>[{1},{5},{4},{2},{3},{6}]=>[1,5,4,2,3,6]
[1,4,5,3,6,2]=>[{1},{6},{4},{2},{3},{5}]=>[1,6,4,2,3,5]
[1,4,5,6,2,3]=>[{1},{5},{6},{2},{3},{4}]=>[1,5,6,2,3,4]
[1,4,5,6,3,2]=>[{1},{6},{5},{2},{3},{4}]=>[1,6,5,2,3,4]
[1,4,6,2,3,5]=>[{1},{4},{5},{2},{6},{3}]=>[1,4,5,2,6,3]
[1,4,6,2,5,3]=>[{1},{4},{6},{2},{5},{3}]=>[1,4,6,2,5,3]
[1,4,6,3,2,5]=>[{1},{5},{4},{2},{6},{3}]=>[1,5,4,2,6,3]
[1,4,6,3,5,2]=>[{1},{6},{4},{2},{5},{3}]=>[1,6,4,2,5,3]
[1,4,6,5,2,3]=>[{1},{5},{6},{2},{4},{3}]=>[1,5,6,2,4,3]
[1,4,6,5,3,2]=>[{1},{6},{5},{2},{4},{3}]=>[1,6,5,2,4,3]
[1,5,2,3,4,6]=>[{1},{3},{4},{5},{2},{6}]=>[1,3,4,5,2,6]
[1,5,2,3,6,4]=>[{1},{3},{4},{6},{2},{5}]=>[1,3,4,6,2,5]
[1,5,2,4,3,6]=>[{1},{3},{5},{4},{2},{6}]=>[1,3,5,4,2,6]
[1,5,2,4,6,3]=>[{1},{3},{6},{4},{2},{5}]=>[1,3,6,4,2,5]
[1,5,2,6,3,4]=>[{1},{3},{5},{6},{2},{4}]=>[1,3,5,6,2,4]
[1,5,2,6,4,3]=>[{1},{3},{6},{5},{2},{4}]=>[1,3,6,5,2,4]
[1,5,3,2,4,6]=>[{1},{4},{3},{5},{2},{6}]=>[1,4,3,5,2,6]
[1,5,3,2,6,4]=>[{1},{4},{3},{6},{2},{5}]=>[1,4,3,6,2,5]
[1,5,3,4,2,6]=>[{1},{5},{3},{4},{2},{6}]=>[1,5,3,4,2,6]
[1,5,3,4,6,2]=>[{1},{6},{3},{4},{2},{5}]=>[1,6,3,4,2,5]
[1,5,3,6,2,4]=>[{1},{5},{3},{6},{2},{4}]=>[1,5,3,6,2,4]
[1,5,3,6,4,2]=>[{1},{6},{3},{5},{2},{4}]=>[1,6,3,5,2,4]
[1,5,4,2,3,6]=>[{1},{4},{5},{3},{2},{6}]=>[1,4,5,3,2,6]
[1,5,4,2,6,3]=>[{1},{4},{6},{3},{2},{5}]=>[1,4,6,3,2,5]
[1,5,4,3,2,6]=>[{1},{5},{4},{3},{2},{6}]=>[1,5,4,3,2,6]
[1,5,4,3,6,2]=>[{1},{6},{4},{3},{2},{5}]=>[1,6,4,3,2,5]
[1,5,4,6,2,3]=>[{1},{5},{6},{3},{2},{4}]=>[1,5,6,3,2,4]
[1,5,4,6,3,2]=>[{1},{6},{5},{3},{2},{4}]=>[1,6,5,3,2,4]
[1,5,6,2,3,4]=>[{1},{4},{5},{6},{2},{3}]=>[1,4,5,6,2,3]
[1,5,6,2,4,3]=>[{1},{4},{6},{5},{2},{3}]=>[1,4,6,5,2,3]
[1,5,6,3,2,4]=>[{1},{5},{4},{6},{2},{3}]=>[1,5,4,6,2,3]
[1,5,6,3,4,2]=>[{1},{6},{4},{5},{2},{3}]=>[1,6,4,5,2,3]
[1,5,6,4,2,3]=>[{1},{5},{6},{4},{2},{3}]=>[1,5,6,4,2,3]
[1,5,6,4,3,2]=>[{1},{6},{5},{4},{2},{3}]=>[1,6,5,4,2,3]
[1,6,2,3,4,5]=>[{1},{3},{4},{5},{6},{2}]=>[1,3,4,5,6,2]
[1,6,2,3,5,4]=>[{1},{3},{4},{6},{5},{2}]=>[1,3,4,6,5,2]
[1,6,2,4,3,5]=>[{1},{3},{5},{4},{6},{2}]=>[1,3,5,4,6,2]
[1,6,2,4,5,3]=>[{1},{3},{6},{4},{5},{2}]=>[1,3,6,4,5,2]
[1,6,2,5,3,4]=>[{1},{3},{5},{6},{4},{2}]=>[1,3,5,6,4,2]
[1,6,2,5,4,3]=>[{1},{3},{6},{5},{4},{2}]=>[1,3,6,5,4,2]
[1,6,3,2,4,5]=>[{1},{4},{3},{5},{6},{2}]=>[1,4,3,5,6,2]
[1,6,3,2,5,4]=>[{1},{4},{3},{6},{5},{2}]=>[1,4,3,6,5,2]
[1,6,3,4,2,5]=>[{1},{5},{3},{4},{6},{2}]=>[1,5,3,4,6,2]
[1,6,3,4,5,2]=>[{1},{6},{3},{4},{5},{2}]=>[1,6,3,4,5,2]
[1,6,3,5,2,4]=>[{1},{5},{3},{6},{4},{2}]=>[1,5,3,6,4,2]
[1,6,3,5,4,2]=>[{1},{6},{3},{5},{4},{2}]=>[1,6,3,5,4,2]
[1,6,4,2,3,5]=>[{1},{4},{5},{3},{6},{2}]=>[1,4,5,3,6,2]
[1,6,4,2,5,3]=>[{1},{4},{6},{3},{5},{2}]=>[1,4,6,3,5,2]
[1,6,4,3,2,5]=>[{1},{5},{4},{3},{6},{2}]=>[1,5,4,3,6,2]
[1,6,4,3,5,2]=>[{1},{6},{4},{3},{5},{2}]=>[1,6,4,3,5,2]
[1,6,4,5,2,3]=>[{1},{5},{6},{3},{4},{2}]=>[1,5,6,3,4,2]
[1,6,4,5,3,2]=>[{1},{6},{5},{3},{4},{2}]=>[1,6,5,3,4,2]
[1,6,5,2,3,4]=>[{1},{4},{5},{6},{3},{2}]=>[1,4,5,6,3,2]
[1,6,5,2,4,3]=>[{1},{4},{6},{5},{3},{2}]=>[1,4,6,5,3,2]
[1,6,5,3,2,4]=>[{1},{5},{4},{6},{3},{2}]=>[1,5,4,6,3,2]
[1,6,5,3,4,2]=>[{1},{6},{4},{5},{3},{2}]=>[1,6,4,5,3,2]
[1,6,5,4,2,3]=>[{1},{5},{6},{4},{3},{2}]=>[1,5,6,4,3,2]
[1,6,5,4,3,2]=>[{1},{6},{5},{4},{3},{2}]=>[1,6,5,4,3,2]
[2,1,3,4,5,6]=>[{2},{1},{3},{4},{5},{6}]=>[2,1,3,4,5,6]
[2,1,3,4,6,5]=>[{2},{1},{3},{4},{6},{5}]=>[2,1,3,4,6,5]
[2,1,3,5,4,6]=>[{2},{1},{3},{5},{4},{6}]=>[2,1,3,5,4,6]
[2,1,3,5,6,4]=>[{2},{1},{3},{6},{4},{5}]=>[2,1,3,6,4,5]
[2,1,3,6,4,5]=>[{2},{1},{3},{5},{6},{4}]=>[2,1,3,5,6,4]
[2,1,3,6,5,4]=>[{2},{1},{3},{6},{5},{4}]=>[2,1,3,6,5,4]
[2,1,4,3,5,6]=>[{2},{1},{4},{3},{5},{6}]=>[2,1,4,3,5,6]
[2,1,4,3,6,5]=>[{2},{1},{4},{3},{6},{5}]=>[2,1,4,3,6,5]
[2,1,4,5,3,6]=>[{2},{1},{5},{3},{4},{6}]=>[2,1,5,3,4,6]
[2,1,4,5,6,3]=>[{2},{1},{6},{3},{4},{5}]=>[2,1,6,3,4,5]
[2,1,4,6,3,5]=>[{2},{1},{5},{3},{6},{4}]=>[2,1,5,3,6,4]
[2,1,4,6,5,3]=>[{2},{1},{6},{3},{5},{4}]=>[2,1,6,3,5,4]
[2,1,5,3,4,6]=>[{2},{1},{4},{5},{3},{6}]=>[2,1,4,5,3,6]
[2,1,5,3,6,4]=>[{2},{1},{4},{6},{3},{5}]=>[2,1,4,6,3,5]
[2,1,5,4,3,6]=>[{2},{1},{5},{4},{3},{6}]=>[2,1,5,4,3,6]
[2,1,5,4,6,3]=>[{2},{1},{6},{4},{3},{5}]=>[2,1,6,4,3,5]
[2,1,5,6,3,4]=>[{2},{1},{5},{6},{3},{4}]=>[2,1,5,6,3,4]
[2,1,5,6,4,3]=>[{2},{1},{6},{5},{3},{4}]=>[2,1,6,5,3,4]
[2,1,6,3,4,5]=>[{2},{1},{4},{5},{6},{3}]=>[2,1,4,5,6,3]
[2,1,6,3,5,4]=>[{2},{1},{4},{6},{5},{3}]=>[2,1,4,6,5,3]
[2,1,6,4,3,5]=>[{2},{1},{5},{4},{6},{3}]=>[2,1,5,4,6,3]
[2,1,6,4,5,3]=>[{2},{1},{6},{4},{5},{3}]=>[2,1,6,4,5,3]
[2,1,6,5,3,4]=>[{2},{1},{5},{6},{4},{3}]=>[2,1,5,6,4,3]
[2,1,6,5,4,3]=>[{2},{1},{6},{5},{4},{3}]=>[2,1,6,5,4,3]
[2,3,1,4,5,6]=>[{3},{1},{2},{4},{5},{6}]=>[3,1,2,4,5,6]
[2,3,1,4,6,5]=>[{3},{1},{2},{4},{6},{5}]=>[3,1,2,4,6,5]
[2,3,1,5,4,6]=>[{3},{1},{2},{5},{4},{6}]=>[3,1,2,5,4,6]
[2,3,1,5,6,4]=>[{3},{1},{2},{6},{4},{5}]=>[3,1,2,6,4,5]
[2,3,1,6,4,5]=>[{3},{1},{2},{5},{6},{4}]=>[3,1,2,5,6,4]
[2,3,1,6,5,4]=>[{3},{1},{2},{6},{5},{4}]=>[3,1,2,6,5,4]
[2,3,4,1,5,6]=>[{4},{1},{2},{3},{5},{6}]=>[4,1,2,3,5,6]
[2,3,4,1,6,5]=>[{4},{1},{2},{3},{6},{5}]=>[4,1,2,3,6,5]
[2,3,4,5,1,6]=>[{5},{1},{2},{3},{4},{6}]=>[5,1,2,3,4,6]
[2,3,4,5,6,1]=>[{6},{1},{2},{3},{4},{5}]=>[6,1,2,3,4,5]
[2,3,4,6,1,5]=>[{5},{1},{2},{3},{6},{4}]=>[5,1,2,3,6,4]
[2,3,4,6,5,1]=>[{6},{1},{2},{3},{5},{4}]=>[6,1,2,3,5,4]
[2,3,5,1,4,6]=>[{4},{1},{2},{5},{3},{6}]=>[4,1,2,5,3,6]
[2,3,5,1,6,4]=>[{4},{1},{2},{6},{3},{5}]=>[4,1,2,6,3,5]
[2,3,5,4,1,6]=>[{5},{1},{2},{4},{3},{6}]=>[5,1,2,4,3,6]
[2,3,5,4,6,1]=>[{6},{1},{2},{4},{3},{5}]=>[6,1,2,4,3,5]
[2,3,5,6,1,4]=>[{5},{1},{2},{6},{3},{4}]=>[5,1,2,6,3,4]
[2,3,5,6,4,1]=>[{6},{1},{2},{5},{3},{4}]=>[6,1,2,5,3,4]
[2,3,6,1,4,5]=>[{4},{1},{2},{5},{6},{3}]=>[4,1,2,5,6,3]
[2,3,6,1,5,4]=>[{4},{1},{2},{6},{5},{3}]=>[4,1,2,6,5,3]
[2,3,6,4,1,5]=>[{5},{1},{2},{4},{6},{3}]=>[5,1,2,4,6,3]
[2,3,6,4,5,1]=>[{6},{1},{2},{4},{5},{3}]=>[6,1,2,4,5,3]
[2,3,6,5,1,4]=>[{5},{1},{2},{6},{4},{3}]=>[5,1,2,6,4,3]
[2,3,6,5,4,1]=>[{6},{1},{2},{5},{4},{3}]=>[6,1,2,5,4,3]
[2,4,1,3,5,6]=>[{3},{1},{4},{2},{5},{6}]=>[3,1,4,2,5,6]
[2,4,1,3,6,5]=>[{3},{1},{4},{2},{6},{5}]=>[3,1,4,2,6,5]
[2,4,1,5,3,6]=>[{3},{1},{5},{2},{4},{6}]=>[3,1,5,2,4,6]
[2,4,1,5,6,3]=>[{3},{1},{6},{2},{4},{5}]=>[3,1,6,2,4,5]
[2,4,1,6,3,5]=>[{3},{1},{5},{2},{6},{4}]=>[3,1,5,2,6,4]
[2,4,1,6,5,3]=>[{3},{1},{6},{2},{5},{4}]=>[3,1,6,2,5,4]
[2,4,3,1,5,6]=>[{4},{1},{3},{2},{5},{6}]=>[4,1,3,2,5,6]
[2,4,3,1,6,5]=>[{4},{1},{3},{2},{6},{5}]=>[4,1,3,2,6,5]
[2,4,3,5,1,6]=>[{5},{1},{3},{2},{4},{6}]=>[5,1,3,2,4,6]
[2,4,3,5,6,1]=>[{6},{1},{3},{2},{4},{5}]=>[6,1,3,2,4,5]
[2,4,3,6,1,5]=>[{5},{1},{3},{2},{6},{4}]=>[5,1,3,2,6,4]
[2,4,3,6,5,1]=>[{6},{1},{3},{2},{5},{4}]=>[6,1,3,2,5,4]
[2,4,5,1,3,6]=>[{4},{1},{5},{2},{3},{6}]=>[4,1,5,2,3,6]
[2,4,5,1,6,3]=>[{4},{1},{6},{2},{3},{5}]=>[4,1,6,2,3,5]
[2,4,5,3,1,6]=>[{5},{1},{4},{2},{3},{6}]=>[5,1,4,2,3,6]
[2,4,5,3,6,1]=>[{6},{1},{4},{2},{3},{5}]=>[6,1,4,2,3,5]
[2,4,5,6,1,3]=>[{5},{1},{6},{2},{3},{4}]=>[5,1,6,2,3,4]
[2,4,5,6,3,1]=>[{6},{1},{5},{2},{3},{4}]=>[6,1,5,2,3,4]
[2,4,6,1,3,5]=>[{4},{1},{5},{2},{6},{3}]=>[4,1,5,2,6,3]
[2,4,6,1,5,3]=>[{4},{1},{6},{2},{5},{3}]=>[4,1,6,2,5,3]
[2,4,6,3,1,5]=>[{5},{1},{4},{2},{6},{3}]=>[5,1,4,2,6,3]
[2,4,6,3,5,1]=>[{6},{1},{4},{2},{5},{3}]=>[6,1,4,2,5,3]
[2,4,6,5,1,3]=>[{5},{1},{6},{2},{4},{3}]=>[5,1,6,2,4,3]
[2,4,6,5,3,1]=>[{6},{1},{5},{2},{4},{3}]=>[6,1,5,2,4,3]
[2,5,1,3,4,6]=>[{3},{1},{4},{5},{2},{6}]=>[3,1,4,5,2,6]
[2,5,1,3,6,4]=>[{3},{1},{4},{6},{2},{5}]=>[3,1,4,6,2,5]
[2,5,1,4,3,6]=>[{3},{1},{5},{4},{2},{6}]=>[3,1,5,4,2,6]
[2,5,1,4,6,3]=>[{3},{1},{6},{4},{2},{5}]=>[3,1,6,4,2,5]
[2,5,1,6,3,4]=>[{3},{1},{5},{6},{2},{4}]=>[3,1,5,6,2,4]
[2,5,1,6,4,3]=>[{3},{1},{6},{5},{2},{4}]=>[3,1,6,5,2,4]
[2,5,3,1,4,6]=>[{4},{1},{3},{5},{2},{6}]=>[4,1,3,5,2,6]
[2,5,3,1,6,4]=>[{4},{1},{3},{6},{2},{5}]=>[4,1,3,6,2,5]
[2,5,3,4,1,6]=>[{5},{1},{3},{4},{2},{6}]=>[5,1,3,4,2,6]
[2,5,3,4,6,1]=>[{6},{1},{3},{4},{2},{5}]=>[6,1,3,4,2,5]
[2,5,3,6,1,4]=>[{5},{1},{3},{6},{2},{4}]=>[5,1,3,6,2,4]
[2,5,3,6,4,1]=>[{6},{1},{3},{5},{2},{4}]=>[6,1,3,5,2,4]
[2,5,4,1,3,6]=>[{4},{1},{5},{3},{2},{6}]=>[4,1,5,3,2,6]
[2,5,4,1,6,3]=>[{4},{1},{6},{3},{2},{5}]=>[4,1,6,3,2,5]
[2,5,4,3,1,6]=>[{5},{1},{4},{3},{2},{6}]=>[5,1,4,3,2,6]
[2,5,4,3,6,1]=>[{6},{1},{4},{3},{2},{5}]=>[6,1,4,3,2,5]
[2,5,4,6,1,3]=>[{5},{1},{6},{3},{2},{4}]=>[5,1,6,3,2,4]
[2,5,4,6,3,1]=>[{6},{1},{5},{3},{2},{4}]=>[6,1,5,3,2,4]
[2,5,6,1,3,4]=>[{4},{1},{5},{6},{2},{3}]=>[4,1,5,6,2,3]
[2,5,6,1,4,3]=>[{4},{1},{6},{5},{2},{3}]=>[4,1,6,5,2,3]
[2,5,6,3,1,4]=>[{5},{1},{4},{6},{2},{3}]=>[5,1,4,6,2,3]
[2,5,6,3,4,1]=>[{6},{1},{4},{5},{2},{3}]=>[6,1,4,5,2,3]
[2,5,6,4,1,3]=>[{5},{1},{6},{4},{2},{3}]=>[5,1,6,4,2,3]
[2,5,6,4,3,1]=>[{6},{1},{5},{4},{2},{3}]=>[6,1,5,4,2,3]
[2,6,1,3,4,5]=>[{3},{1},{4},{5},{6},{2}]=>[3,1,4,5,6,2]
[2,6,1,3,5,4]=>[{3},{1},{4},{6},{5},{2}]=>[3,1,4,6,5,2]
[2,6,1,4,3,5]=>[{3},{1},{5},{4},{6},{2}]=>[3,1,5,4,6,2]
[2,6,1,4,5,3]=>[{3},{1},{6},{4},{5},{2}]=>[3,1,6,4,5,2]
[2,6,1,5,3,4]=>[{3},{1},{5},{6},{4},{2}]=>[3,1,5,6,4,2]
[2,6,1,5,4,3]=>[{3},{1},{6},{5},{4},{2}]=>[3,1,6,5,4,2]
[2,6,3,1,4,5]=>[{4},{1},{3},{5},{6},{2}]=>[4,1,3,5,6,2]
[2,6,3,1,5,4]=>[{4},{1},{3},{6},{5},{2}]=>[4,1,3,6,5,2]
[2,6,3,4,1,5]=>[{5},{1},{3},{4},{6},{2}]=>[5,1,3,4,6,2]
[2,6,3,4,5,1]=>[{6},{1},{3},{4},{5},{2}]=>[6,1,3,4,5,2]
[2,6,3,5,1,4]=>[{5},{1},{3},{6},{4},{2}]=>[5,1,3,6,4,2]
[2,6,3,5,4,1]=>[{6},{1},{3},{5},{4},{2}]=>[6,1,3,5,4,2]
[2,6,4,1,3,5]=>[{4},{1},{5},{3},{6},{2}]=>[4,1,5,3,6,2]
[2,6,4,1,5,3]=>[{4},{1},{6},{3},{5},{2}]=>[4,1,6,3,5,2]
[2,6,4,3,1,5]=>[{5},{1},{4},{3},{6},{2}]=>[5,1,4,3,6,2]
[2,6,4,3,5,1]=>[{6},{1},{4},{3},{5},{2}]=>[6,1,4,3,5,2]
[2,6,4,5,1,3]=>[{5},{1},{6},{3},{4},{2}]=>[5,1,6,3,4,2]
[2,6,4,5,3,1]=>[{6},{1},{5},{3},{4},{2}]=>[6,1,5,3,4,2]
[2,6,5,1,3,4]=>[{4},{1},{5},{6},{3},{2}]=>[4,1,5,6,3,2]
[2,6,5,1,4,3]=>[{4},{1},{6},{5},{3},{2}]=>[4,1,6,5,3,2]
[2,6,5,3,1,4]=>[{5},{1},{4},{6},{3},{2}]=>[5,1,4,6,3,2]
[2,6,5,3,4,1]=>[{6},{1},{4},{5},{3},{2}]=>[6,1,4,5,3,2]
[2,6,5,4,1,3]=>[{5},{1},{6},{4},{3},{2}]=>[5,1,6,4,3,2]
[2,6,5,4,3,1]=>[{6},{1},{5},{4},{3},{2}]=>[6,1,5,4,3,2]
[3,1,2,4,5,6]=>[{2},{3},{1},{4},{5},{6}]=>[2,3,1,4,5,6]
[3,1,2,4,6,5]=>[{2},{3},{1},{4},{6},{5}]=>[2,3,1,4,6,5]
[3,1,2,5,4,6]=>[{2},{3},{1},{5},{4},{6}]=>[2,3,1,5,4,6]
[3,1,2,5,6,4]=>[{2},{3},{1},{6},{4},{5}]=>[2,3,1,6,4,5]
[3,1,2,6,4,5]=>[{2},{3},{1},{5},{6},{4}]=>[2,3,1,5,6,4]
[3,1,2,6,5,4]=>[{2},{3},{1},{6},{5},{4}]=>[2,3,1,6,5,4]
[3,1,4,2,5,6]=>[{2},{4},{1},{3},{5},{6}]=>[2,4,1,3,5,6]
[3,1,4,2,6,5]=>[{2},{4},{1},{3},{6},{5}]=>[2,4,1,3,6,5]
[3,1,4,5,2,6]=>[{2},{5},{1},{3},{4},{6}]=>[2,5,1,3,4,6]
[3,1,4,5,6,2]=>[{2},{6},{1},{3},{4},{5}]=>[2,6,1,3,4,5]
[3,1,4,6,2,5]=>[{2},{5},{1},{3},{6},{4}]=>[2,5,1,3,6,4]
[3,1,4,6,5,2]=>[{2},{6},{1},{3},{5},{4}]=>[2,6,1,3,5,4]
[3,1,5,2,4,6]=>[{2},{4},{1},{5},{3},{6}]=>[2,4,1,5,3,6]
[3,1,5,2,6,4]=>[{2},{4},{1},{6},{3},{5}]=>[2,4,1,6,3,5]
[3,1,5,4,2,6]=>[{2},{5},{1},{4},{3},{6}]=>[2,5,1,4,3,6]
[3,1,5,4,6,2]=>[{2},{6},{1},{4},{3},{5}]=>[2,6,1,4,3,5]
[3,1,5,6,2,4]=>[{2},{5},{1},{6},{3},{4}]=>[2,5,1,6,3,4]
[3,1,5,6,4,2]=>[{2},{6},{1},{5},{3},{4}]=>[2,6,1,5,3,4]
[3,1,6,2,4,5]=>[{2},{4},{1},{5},{6},{3}]=>[2,4,1,5,6,3]
[3,1,6,2,5,4]=>[{2},{4},{1},{6},{5},{3}]=>[2,4,1,6,5,3]
[3,1,6,4,2,5]=>[{2},{5},{1},{4},{6},{3}]=>[2,5,1,4,6,3]
[3,1,6,4,5,2]=>[{2},{6},{1},{4},{5},{3}]=>[2,6,1,4,5,3]
[3,1,6,5,2,4]=>[{2},{5},{1},{6},{4},{3}]=>[2,5,1,6,4,3]
[3,1,6,5,4,2]=>[{2},{6},{1},{5},{4},{3}]=>[2,6,1,5,4,3]
[3,2,1,4,5,6]=>[{3},{2},{1},{4},{5},{6}]=>[3,2,1,4,5,6]
[3,2,1,4,6,5]=>[{3},{2},{1},{4},{6},{5}]=>[3,2,1,4,6,5]
[3,2,1,5,4,6]=>[{3},{2},{1},{5},{4},{6}]=>[3,2,1,5,4,6]
[3,2,1,5,6,4]=>[{3},{2},{1},{6},{4},{5}]=>[3,2,1,6,4,5]
[3,2,1,6,4,5]=>[{3},{2},{1},{5},{6},{4}]=>[3,2,1,5,6,4]
[3,2,1,6,5,4]=>[{3},{2},{1},{6},{5},{4}]=>[3,2,1,6,5,4]
[3,2,4,1,5,6]=>[{4},{2},{1},{3},{5},{6}]=>[4,2,1,3,5,6]
[3,2,4,1,6,5]=>[{4},{2},{1},{3},{6},{5}]=>[4,2,1,3,6,5]
[3,2,4,5,1,6]=>[{5},{2},{1},{3},{4},{6}]=>[5,2,1,3,4,6]
[3,2,4,5,6,1]=>[{6},{2},{1},{3},{4},{5}]=>[6,2,1,3,4,5]
[3,2,4,6,1,5]=>[{5},{2},{1},{3},{6},{4}]=>[5,2,1,3,6,4]
[3,2,4,6,5,1]=>[{6},{2},{1},{3},{5},{4}]=>[6,2,1,3,5,4]
[3,2,5,1,4,6]=>[{4},{2},{1},{5},{3},{6}]=>[4,2,1,5,3,6]
[3,2,5,1,6,4]=>[{4},{2},{1},{6},{3},{5}]=>[4,2,1,6,3,5]
[3,2,5,4,1,6]=>[{5},{2},{1},{4},{3},{6}]=>[5,2,1,4,3,6]
[3,2,5,4,6,1]=>[{6},{2},{1},{4},{3},{5}]=>[6,2,1,4,3,5]
[3,2,5,6,1,4]=>[{5},{2},{1},{6},{3},{4}]=>[5,2,1,6,3,4]
[3,2,5,6,4,1]=>[{6},{2},{1},{5},{3},{4}]=>[6,2,1,5,3,4]
[3,2,6,1,4,5]=>[{4},{2},{1},{5},{6},{3}]=>[4,2,1,5,6,3]
[3,2,6,1,5,4]=>[{4},{2},{1},{6},{5},{3}]=>[4,2,1,6,5,3]
[3,2,6,4,1,5]=>[{5},{2},{1},{4},{6},{3}]=>[5,2,1,4,6,3]
[3,2,6,4,5,1]=>[{6},{2},{1},{4},{5},{3}]=>[6,2,1,4,5,3]
[3,2,6,5,1,4]=>[{5},{2},{1},{6},{4},{3}]=>[5,2,1,6,4,3]
[3,2,6,5,4,1]=>[{6},{2},{1},{5},{4},{3}]=>[6,2,1,5,4,3]
[3,4,1,2,5,6]=>[{3},{4},{1},{2},{5},{6}]=>[3,4,1,2,5,6]
[3,4,1,2,6,5]=>[{3},{4},{1},{2},{6},{5}]=>[3,4,1,2,6,5]
[3,4,1,5,2,6]=>[{3},{5},{1},{2},{4},{6}]=>[3,5,1,2,4,6]
[3,4,1,5,6,2]=>[{3},{6},{1},{2},{4},{5}]=>[3,6,1,2,4,5]
[3,4,1,6,2,5]=>[{3},{5},{1},{2},{6},{4}]=>[3,5,1,2,6,4]
[3,4,1,6,5,2]=>[{3},{6},{1},{2},{5},{4}]=>[3,6,1,2,5,4]
[3,4,2,1,5,6]=>[{4},{3},{1},{2},{5},{6}]=>[4,3,1,2,5,6]
[3,4,2,1,6,5]=>[{4},{3},{1},{2},{6},{5}]=>[4,3,1,2,6,5]
[3,4,2,5,1,6]=>[{5},{3},{1},{2},{4},{6}]=>[5,3,1,2,4,6]
[3,4,2,5,6,1]=>[{6},{3},{1},{2},{4},{5}]=>[6,3,1,2,4,5]
[3,4,2,6,1,5]=>[{5},{3},{1},{2},{6},{4}]=>[5,3,1,2,6,4]
[3,4,2,6,5,1]=>[{6},{3},{1},{2},{5},{4}]=>[6,3,1,2,5,4]
[3,4,5,1,2,6]=>[{4},{5},{1},{2},{3},{6}]=>[4,5,1,2,3,6]
[3,4,5,1,6,2]=>[{4},{6},{1},{2},{3},{5}]=>[4,6,1,2,3,5]
[3,4,5,2,1,6]=>[{5},{4},{1},{2},{3},{6}]=>[5,4,1,2,3,6]
[3,4,5,2,6,1]=>[{6},{4},{1},{2},{3},{5}]=>[6,4,1,2,3,5]
[3,4,5,6,1,2]=>[{5},{6},{1},{2},{3},{4}]=>[5,6,1,2,3,4]
[3,4,5,6,2,1]=>[{6},{5},{1},{2},{3},{4}]=>[6,5,1,2,3,4]
[3,4,6,1,2,5]=>[{4},{5},{1},{2},{6},{3}]=>[4,5,1,2,6,3]
[3,4,6,1,5,2]=>[{4},{6},{1},{2},{5},{3}]=>[4,6,1,2,5,3]
[3,4,6,2,1,5]=>[{5},{4},{1},{2},{6},{3}]=>[5,4,1,2,6,3]
[3,4,6,2,5,1]=>[{6},{4},{1},{2},{5},{3}]=>[6,4,1,2,5,3]
[3,4,6,5,1,2]=>[{5},{6},{1},{2},{4},{3}]=>[5,6,1,2,4,3]
[3,4,6,5,2,1]=>[{6},{5},{1},{2},{4},{3}]=>[6,5,1,2,4,3]
[3,5,1,2,4,6]=>[{3},{4},{1},{5},{2},{6}]=>[3,4,1,5,2,6]
[3,5,1,2,6,4]=>[{3},{4},{1},{6},{2},{5}]=>[3,4,1,6,2,5]
[3,5,1,4,2,6]=>[{3},{5},{1},{4},{2},{6}]=>[3,5,1,4,2,6]
[3,5,1,4,6,2]=>[{3},{6},{1},{4},{2},{5}]=>[3,6,1,4,2,5]
[3,5,1,6,2,4]=>[{3},{5},{1},{6},{2},{4}]=>[3,5,1,6,2,4]
[3,5,1,6,4,2]=>[{3},{6},{1},{5},{2},{4}]=>[3,6,1,5,2,4]
[3,5,2,1,4,6]=>[{4},{3},{1},{5},{2},{6}]=>[4,3,1,5,2,6]
[3,5,2,1,6,4]=>[{4},{3},{1},{6},{2},{5}]=>[4,3,1,6,2,5]
[3,5,2,4,1,6]=>[{5},{3},{1},{4},{2},{6}]=>[5,3,1,4,2,6]
[3,5,2,4,6,1]=>[{6},{3},{1},{4},{2},{5}]=>[6,3,1,4,2,5]
[3,5,2,6,1,4]=>[{5},{3},{1},{6},{2},{4}]=>[5,3,1,6,2,4]
[3,5,2,6,4,1]=>[{6},{3},{1},{5},{2},{4}]=>[6,3,1,5,2,4]
[3,5,4,1,2,6]=>[{4},{5},{1},{3},{2},{6}]=>[4,5,1,3,2,6]
[3,5,4,1,6,2]=>[{4},{6},{1},{3},{2},{5}]=>[4,6,1,3,2,5]
[3,5,4,2,1,6]=>[{5},{4},{1},{3},{2},{6}]=>[5,4,1,3,2,6]
[3,5,4,2,6,1]=>[{6},{4},{1},{3},{2},{5}]=>[6,4,1,3,2,5]
[3,5,4,6,1,2]=>[{5},{6},{1},{3},{2},{4}]=>[5,6,1,3,2,4]
[3,5,4,6,2,1]=>[{6},{5},{1},{3},{2},{4}]=>[6,5,1,3,2,4]
[3,5,6,1,2,4]=>[{4},{5},{1},{6},{2},{3}]=>[4,5,1,6,2,3]
[3,5,6,1,4,2]=>[{4},{6},{1},{5},{2},{3}]=>[4,6,1,5,2,3]
[3,5,6,2,1,4]=>[{5},{4},{1},{6},{2},{3}]=>[5,4,1,6,2,3]
[3,5,6,2,4,1]=>[{6},{4},{1},{5},{2},{3}]=>[6,4,1,5,2,3]
[3,5,6,4,1,2]=>[{5},{6},{1},{4},{2},{3}]=>[5,6,1,4,2,3]
[3,5,6,4,2,1]=>[{6},{5},{1},{4},{2},{3}]=>[6,5,1,4,2,3]
[3,6,1,2,4,5]=>[{3},{4},{1},{5},{6},{2}]=>[3,4,1,5,6,2]
[3,6,1,2,5,4]=>[{3},{4},{1},{6},{5},{2}]=>[3,4,1,6,5,2]
[3,6,1,4,2,5]=>[{3},{5},{1},{4},{6},{2}]=>[3,5,1,4,6,2]
[3,6,1,4,5,2]=>[{3},{6},{1},{4},{5},{2}]=>[3,6,1,4,5,2]
[3,6,1,5,2,4]=>[{3},{5},{1},{6},{4},{2}]=>[3,5,1,6,4,2]
[3,6,1,5,4,2]=>[{3},{6},{1},{5},{4},{2}]=>[3,6,1,5,4,2]
[3,6,2,1,4,5]=>[{4},{3},{1},{5},{6},{2}]=>[4,3,1,5,6,2]
[3,6,2,1,5,4]=>[{4},{3},{1},{6},{5},{2}]=>[4,3,1,6,5,2]
[3,6,2,4,1,5]=>[{5},{3},{1},{4},{6},{2}]=>[5,3,1,4,6,2]
[3,6,2,4,5,1]=>[{6},{3},{1},{4},{5},{2}]=>[6,3,1,4,5,2]
[3,6,2,5,1,4]=>[{5},{3},{1},{6},{4},{2}]=>[5,3,1,6,4,2]
[3,6,2,5,4,1]=>[{6},{3},{1},{5},{4},{2}]=>[6,3,1,5,4,2]
[3,6,4,1,2,5]=>[{4},{5},{1},{3},{6},{2}]=>[4,5,1,3,6,2]
[3,6,4,1,5,2]=>[{4},{6},{1},{3},{5},{2}]=>[4,6,1,3,5,2]
[3,6,4,2,1,5]=>[{5},{4},{1},{3},{6},{2}]=>[5,4,1,3,6,2]
[3,6,4,2,5,1]=>[{6},{4},{1},{3},{5},{2}]=>[6,4,1,3,5,2]
[3,6,4,5,1,2]=>[{5},{6},{1},{3},{4},{2}]=>[5,6,1,3,4,2]
[3,6,4,5,2,1]=>[{6},{5},{1},{3},{4},{2}]=>[6,5,1,3,4,2]
[3,6,5,1,2,4]=>[{4},{5},{1},{6},{3},{2}]=>[4,5,1,6,3,2]
[3,6,5,1,4,2]=>[{4},{6},{1},{5},{3},{2}]=>[4,6,1,5,3,2]
[3,6,5,2,1,4]=>[{5},{4},{1},{6},{3},{2}]=>[5,4,1,6,3,2]
[3,6,5,2,4,1]=>[{6},{4},{1},{5},{3},{2}]=>[6,4,1,5,3,2]
[3,6,5,4,1,2]=>[{5},{6},{1},{4},{3},{2}]=>[5,6,1,4,3,2]
[3,6,5,4,2,1]=>[{6},{5},{1},{4},{3},{2}]=>[6,5,1,4,3,2]
[4,1,2,3,5,6]=>[{2},{3},{4},{1},{5},{6}]=>[2,3,4,1,5,6]
[4,1,2,3,6,5]=>[{2},{3},{4},{1},{6},{5}]=>[2,3,4,1,6,5]
[4,1,2,5,3,6]=>[{2},{3},{5},{1},{4},{6}]=>[2,3,5,1,4,6]
[4,1,2,5,6,3]=>[{2},{3},{6},{1},{4},{5}]=>[2,3,6,1,4,5]
[4,1,2,6,3,5]=>[{2},{3},{5},{1},{6},{4}]=>[2,3,5,1,6,4]
[4,1,2,6,5,3]=>[{2},{3},{6},{1},{5},{4}]=>[2,3,6,1,5,4]
[4,1,3,2,5,6]=>[{2},{4},{3},{1},{5},{6}]=>[2,4,3,1,5,6]
[4,1,3,2,6,5]=>[{2},{4},{3},{1},{6},{5}]=>[2,4,3,1,6,5]
[4,1,3,5,2,6]=>[{2},{5},{3},{1},{4},{6}]=>[2,5,3,1,4,6]
[4,1,3,5,6,2]=>[{2},{6},{3},{1},{4},{5}]=>[2,6,3,1,4,5]
[4,1,3,6,2,5]=>[{2},{5},{3},{1},{6},{4}]=>[2,5,3,1,6,4]
[4,1,3,6,5,2]=>[{2},{6},{3},{1},{5},{4}]=>[2,6,3,1,5,4]
[4,1,5,2,3,6]=>[{2},{4},{5},{1},{3},{6}]=>[2,4,5,1,3,6]
[4,1,5,2,6,3]=>[{2},{4},{6},{1},{3},{5}]=>[2,4,6,1,3,5]
[4,1,5,3,2,6]=>[{2},{5},{4},{1},{3},{6}]=>[2,5,4,1,3,6]
[4,1,5,3,6,2]=>[{2},{6},{4},{1},{3},{5}]=>[2,6,4,1,3,5]
[4,1,5,6,2,3]=>[{2},{5},{6},{1},{3},{4}]=>[2,5,6,1,3,4]
[4,1,5,6,3,2]=>[{2},{6},{5},{1},{3},{4}]=>[2,6,5,1,3,4]
[4,1,6,2,3,5]=>[{2},{4},{5},{1},{6},{3}]=>[2,4,5,1,6,3]
[4,1,6,2,5,3]=>[{2},{4},{6},{1},{5},{3}]=>[2,4,6,1,5,3]
[4,1,6,3,2,5]=>[{2},{5},{4},{1},{6},{3}]=>[2,5,4,1,6,3]
[4,1,6,3,5,2]=>[{2},{6},{4},{1},{5},{3}]=>[2,6,4,1,5,3]
[4,1,6,5,2,3]=>[{2},{5},{6},{1},{4},{3}]=>[2,5,6,1,4,3]
[4,1,6,5,3,2]=>[{2},{6},{5},{1},{4},{3}]=>[2,6,5,1,4,3]
[4,2,1,3,5,6]=>[{3},{2},{4},{1},{5},{6}]=>[3,2,4,1,5,6]
[4,2,1,3,6,5]=>[{3},{2},{4},{1},{6},{5}]=>[3,2,4,1,6,5]
[4,2,1,5,3,6]=>[{3},{2},{5},{1},{4},{6}]=>[3,2,5,1,4,6]
[4,2,1,5,6,3]=>[{3},{2},{6},{1},{4},{5}]=>[3,2,6,1,4,5]
[4,2,1,6,3,5]=>[{3},{2},{5},{1},{6},{4}]=>[3,2,5,1,6,4]
[4,2,1,6,5,3]=>[{3},{2},{6},{1},{5},{4}]=>[3,2,6,1,5,4]
[4,2,3,1,5,6]=>[{4},{2},{3},{1},{5},{6}]=>[4,2,3,1,5,6]
[4,2,3,1,6,5]=>[{4},{2},{3},{1},{6},{5}]=>[4,2,3,1,6,5]
[4,2,3,5,1,6]=>[{5},{2},{3},{1},{4},{6}]=>[5,2,3,1,4,6]
[4,2,3,5,6,1]=>[{6},{2},{3},{1},{4},{5}]=>[6,2,3,1,4,5]
[4,2,3,6,1,5]=>[{5},{2},{3},{1},{6},{4}]=>[5,2,3,1,6,4]
[4,2,3,6,5,1]=>[{6},{2},{3},{1},{5},{4}]=>[6,2,3,1,5,4]
[4,2,5,1,3,6]=>[{4},{2},{5},{1},{3},{6}]=>[4,2,5,1,3,6]
[4,2,5,1,6,3]=>[{4},{2},{6},{1},{3},{5}]=>[4,2,6,1,3,5]
[4,2,5,3,1,6]=>[{5},{2},{4},{1},{3},{6}]=>[5,2,4,1,3,6]
[4,2,5,3,6,1]=>[{6},{2},{4},{1},{3},{5}]=>[6,2,4,1,3,5]
[4,2,5,6,1,3]=>[{5},{2},{6},{1},{3},{4}]=>[5,2,6,1,3,4]
[4,2,5,6,3,1]=>[{6},{2},{5},{1},{3},{4}]=>[6,2,5,1,3,4]
[4,2,6,1,3,5]=>[{4},{2},{5},{1},{6},{3}]=>[4,2,5,1,6,3]
[4,2,6,1,5,3]=>[{4},{2},{6},{1},{5},{3}]=>[4,2,6,1,5,3]
[4,2,6,3,1,5]=>[{5},{2},{4},{1},{6},{3}]=>[5,2,4,1,6,3]
[4,2,6,3,5,1]=>[{6},{2},{4},{1},{5},{3}]=>[6,2,4,1,5,3]
[4,2,6,5,1,3]=>[{5},{2},{6},{1},{4},{3}]=>[5,2,6,1,4,3]
[4,2,6,5,3,1]=>[{6},{2},{5},{1},{4},{3}]=>[6,2,5,1,4,3]
[4,3,1,2,5,6]=>[{3},{4},{2},{1},{5},{6}]=>[3,4,2,1,5,6]
[4,3,1,2,6,5]=>[{3},{4},{2},{1},{6},{5}]=>[3,4,2,1,6,5]
[4,3,1,5,2,6]=>[{3},{5},{2},{1},{4},{6}]=>[3,5,2,1,4,6]
[4,3,1,5,6,2]=>[{3},{6},{2},{1},{4},{5}]=>[3,6,2,1,4,5]
[4,3,1,6,2,5]=>[{3},{5},{2},{1},{6},{4}]=>[3,5,2,1,6,4]
[4,3,1,6,5,2]=>[{3},{6},{2},{1},{5},{4}]=>[3,6,2,1,5,4]
[4,3,2,1,5,6]=>[{4},{3},{2},{1},{5},{6}]=>[4,3,2,1,5,6]
[4,3,2,1,6,5]=>[{4},{3},{2},{1},{6},{5}]=>[4,3,2,1,6,5]
[4,3,2,5,1,6]=>[{5},{3},{2},{1},{4},{6}]=>[5,3,2,1,4,6]
[4,3,2,5,6,1]=>[{6},{3},{2},{1},{4},{5}]=>[6,3,2,1,4,5]
[4,3,2,6,1,5]=>[{5},{3},{2},{1},{6},{4}]=>[5,3,2,1,6,4]
[4,3,2,6,5,1]=>[{6},{3},{2},{1},{5},{4}]=>[6,3,2,1,5,4]
[4,3,5,1,2,6]=>[{4},{5},{2},{1},{3},{6}]=>[4,5,2,1,3,6]
[4,3,5,1,6,2]=>[{4},{6},{2},{1},{3},{5}]=>[4,6,2,1,3,5]
[4,3,5,2,1,6]=>[{5},{4},{2},{1},{3},{6}]=>[5,4,2,1,3,6]
[4,3,5,2,6,1]=>[{6},{4},{2},{1},{3},{5}]=>[6,4,2,1,3,5]
[4,3,5,6,1,2]=>[{5},{6},{2},{1},{3},{4}]=>[5,6,2,1,3,4]
[4,3,5,6,2,1]=>[{6},{5},{2},{1},{3},{4}]=>[6,5,2,1,3,4]
[4,3,6,1,2,5]=>[{4},{5},{2},{1},{6},{3}]=>[4,5,2,1,6,3]
[4,3,6,1,5,2]=>[{4},{6},{2},{1},{5},{3}]=>[4,6,2,1,5,3]
[4,3,6,2,1,5]=>[{5},{4},{2},{1},{6},{3}]=>[5,4,2,1,6,3]
[4,3,6,2,5,1]=>[{6},{4},{2},{1},{5},{3}]=>[6,4,2,1,5,3]
[4,3,6,5,1,2]=>[{5},{6},{2},{1},{4},{3}]=>[5,6,2,1,4,3]
[4,3,6,5,2,1]=>[{6},{5},{2},{1},{4},{3}]=>[6,5,2,1,4,3]
[4,5,1,2,3,6]=>[{3},{4},{5},{1},{2},{6}]=>[3,4,5,1,2,6]
[4,5,1,2,6,3]=>[{3},{4},{6},{1},{2},{5}]=>[3,4,6,1,2,5]
[4,5,1,3,2,6]=>[{3},{5},{4},{1},{2},{6}]=>[3,5,4,1,2,6]
[4,5,1,3,6,2]=>[{3},{6},{4},{1},{2},{5}]=>[3,6,4,1,2,5]
[4,5,1,6,2,3]=>[{3},{5},{6},{1},{2},{4}]=>[3,5,6,1,2,4]
[4,5,1,6,3,2]=>[{3},{6},{5},{1},{2},{4}]=>[3,6,5,1,2,4]
[4,5,2,1,3,6]=>[{4},{3},{5},{1},{2},{6}]=>[4,3,5,1,2,6]
[4,5,2,1,6,3]=>[{4},{3},{6},{1},{2},{5}]=>[4,3,6,1,2,5]
[4,5,2,3,1,6]=>[{5},{3},{4},{1},{2},{6}]=>[5,3,4,1,2,6]
[4,5,2,3,6,1]=>[{6},{3},{4},{1},{2},{5}]=>[6,3,4,1,2,5]
[4,5,2,6,1,3]=>[{5},{3},{6},{1},{2},{4}]=>[5,3,6,1,2,4]
[4,5,2,6,3,1]=>[{6},{3},{5},{1},{2},{4}]=>[6,3,5,1,2,4]
[4,5,3,1,2,6]=>[{4},{5},{3},{1},{2},{6}]=>[4,5,3,1,2,6]
[4,5,3,1,6,2]=>[{4},{6},{3},{1},{2},{5}]=>[4,6,3,1,2,5]
[4,5,3,2,1,6]=>[{5},{4},{3},{1},{2},{6}]=>[5,4,3,1,2,6]
[4,5,3,2,6,1]=>[{6},{4},{3},{1},{2},{5}]=>[6,4,3,1,2,5]
[4,5,3,6,1,2]=>[{5},{6},{3},{1},{2},{4}]=>[5,6,3,1,2,4]
[4,5,3,6,2,1]=>[{6},{5},{3},{1},{2},{4}]=>[6,5,3,1,2,4]
[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},{6},{5},{1},{2},{3}]=>[4,6,5,1,2,3]
[4,5,6,2,1,3]=>[{5},{4},{6},{1},{2},{3}]=>[5,4,6,1,2,3]
[4,5,6,2,3,1]=>[{6},{4},{5},{1},{2},{3}]=>[6,4,5,1,2,3]
[4,5,6,3,1,2]=>[{5},{6},{4},{1},{2},{3}]=>[5,6,4,1,2,3]
[4,5,6,3,2,1]=>[{6},{5},{4},{1},{2},{3}]=>[6,5,4,1,2,3]
[4,6,1,2,3,5]=>[{3},{4},{5},{1},{6},{2}]=>[3,4,5,1,6,2]
[4,6,1,2,5,3]=>[{3},{4},{6},{1},{5},{2}]=>[3,4,6,1,5,2]
[4,6,1,3,2,5]=>[{3},{5},{4},{1},{6},{2}]=>[3,5,4,1,6,2]
[4,6,1,3,5,2]=>[{3},{6},{4},{1},{5},{2}]=>[3,6,4,1,5,2]
[4,6,1,5,2,3]=>[{3},{5},{6},{1},{4},{2}]=>[3,5,6,1,4,2]
[4,6,1,5,3,2]=>[{3},{6},{5},{1},{4},{2}]=>[3,6,5,1,4,2]
[4,6,2,1,3,5]=>[{4},{3},{5},{1},{6},{2}]=>[4,3,5,1,6,2]
[4,6,2,1,5,3]=>[{4},{3},{6},{1},{5},{2}]=>[4,3,6,1,5,2]
[4,6,2,3,1,5]=>[{5},{3},{4},{1},{6},{2}]=>[5,3,4,1,6,2]
[4,6,2,3,5,1]=>[{6},{3},{4},{1},{5},{2}]=>[6,3,4,1,5,2]
[4,6,2,5,1,3]=>[{5},{3},{6},{1},{4},{2}]=>[5,3,6,1,4,2]
[4,6,2,5,3,1]=>[{6},{3},{5},{1},{4},{2}]=>[6,3,5,1,4,2]
[4,6,3,1,2,5]=>[{4},{5},{3},{1},{6},{2}]=>[4,5,3,1,6,2]
[4,6,3,1,5,2]=>[{4},{6},{3},{1},{5},{2}]=>[4,6,3,1,5,2]
[4,6,3,2,1,5]=>[{5},{4},{3},{1},{6},{2}]=>[5,4,3,1,6,2]
[4,6,3,2,5,1]=>[{6},{4},{3},{1},{5},{2}]=>[6,4,3,1,5,2]
[4,6,3,5,1,2]=>[{5},{6},{3},{1},{4},{2}]=>[5,6,3,1,4,2]
[4,6,3,5,2,1]=>[{6},{5},{3},{1},{4},{2}]=>[6,5,3,1,4,2]
[4,6,5,1,2,3]=>[{4},{5},{6},{1},{3},{2}]=>[4,5,6,1,3,2]
[4,6,5,1,3,2]=>[{4},{6},{5},{1},{3},{2}]=>[4,6,5,1,3,2]
[4,6,5,2,1,3]=>[{5},{4},{6},{1},{3},{2}]=>[5,4,6,1,3,2]
[4,6,5,2,3,1]=>[{6},{4},{5},{1},{3},{2}]=>[6,4,5,1,3,2]
[4,6,5,3,1,2]=>[{5},{6},{4},{1},{3},{2}]=>[5,6,4,1,3,2]
[4,6,5,3,2,1]=>[{6},{5},{4},{1},{3},{2}]=>[6,5,4,1,3,2]
[5,1,2,3,4,6]=>[{2},{3},{4},{5},{1},{6}]=>[2,3,4,5,1,6]
[5,1,2,3,6,4]=>[{2},{3},{4},{6},{1},{5}]=>[2,3,4,6,1,5]
[5,1,2,4,3,6]=>[{2},{3},{5},{4},{1},{6}]=>[2,3,5,4,1,6]
[5,1,2,4,6,3]=>[{2},{3},{6},{4},{1},{5}]=>[2,3,6,4,1,5]
[5,1,2,6,3,4]=>[{2},{3},{5},{6},{1},{4}]=>[2,3,5,6,1,4]
[5,1,2,6,4,3]=>[{2},{3},{6},{5},{1},{4}]=>[2,3,6,5,1,4]
[5,1,3,2,4,6]=>[{2},{4},{3},{5},{1},{6}]=>[2,4,3,5,1,6]
[5,1,3,2,6,4]=>[{2},{4},{3},{6},{1},{5}]=>[2,4,3,6,1,5]
[5,1,3,4,2,6]=>[{2},{5},{3},{4},{1},{6}]=>[2,5,3,4,1,6]
[5,1,3,4,6,2]=>[{2},{6},{3},{4},{1},{5}]=>[2,6,3,4,1,5]
[5,1,3,6,2,4]=>[{2},{5},{3},{6},{1},{4}]=>[2,5,3,6,1,4]
[5,1,3,6,4,2]=>[{2},{6},{3},{5},{1},{4}]=>[2,6,3,5,1,4]
[5,1,4,2,3,6]=>[{2},{4},{5},{3},{1},{6}]=>[2,4,5,3,1,6]
[5,1,4,2,6,3]=>[{2},{4},{6},{3},{1},{5}]=>[2,4,6,3,1,5]
[5,1,4,3,2,6]=>[{2},{5},{4},{3},{1},{6}]=>[2,5,4,3,1,6]
[5,1,4,3,6,2]=>[{2},{6},{4},{3},{1},{5}]=>[2,6,4,3,1,5]
[5,1,4,6,2,3]=>[{2},{5},{6},{3},{1},{4}]=>[2,5,6,3,1,4]
[5,1,4,6,3,2]=>[{2},{6},{5},{3},{1},{4}]=>[2,6,5,3,1,4]
[5,1,6,2,3,4]=>[{2},{4},{5},{6},{1},{3}]=>[2,4,5,6,1,3]
[5,1,6,2,4,3]=>[{2},{4},{6},{5},{1},{3}]=>[2,4,6,5,1,3]
[5,1,6,3,2,4]=>[{2},{5},{4},{6},{1},{3}]=>[2,5,4,6,1,3]
[5,1,6,3,4,2]=>[{2},{6},{4},{5},{1},{3}]=>[2,6,4,5,1,3]
[5,1,6,4,2,3]=>[{2},{5},{6},{4},{1},{3}]=>[2,5,6,4,1,3]
[5,1,6,4,3,2]=>[{2},{6},{5},{4},{1},{3}]=>[2,6,5,4,1,3]
[5,2,1,3,4,6]=>[{3},{2},{4},{5},{1},{6}]=>[3,2,4,5,1,6]
[5,2,1,3,6,4]=>[{3},{2},{4},{6},{1},{5}]=>[3,2,4,6,1,5]
[5,2,1,4,3,6]=>[{3},{2},{5},{4},{1},{6}]=>[3,2,5,4,1,6]
[5,2,1,4,6,3]=>[{3},{2},{6},{4},{1},{5}]=>[3,2,6,4,1,5]
[5,2,1,6,3,4]=>[{3},{2},{5},{6},{1},{4}]=>[3,2,5,6,1,4]
[5,2,1,6,4,3]=>[{3},{2},{6},{5},{1},{4}]=>[3,2,6,5,1,4]
[5,2,3,1,4,6]=>[{4},{2},{3},{5},{1},{6}]=>[4,2,3,5,1,6]
[5,2,3,1,6,4]=>[{4},{2},{3},{6},{1},{5}]=>[4,2,3,6,1,5]
[5,2,3,4,1,6]=>[{5},{2},{3},{4},{1},{6}]=>[5,2,3,4,1,6]
[5,2,3,4,6,1]=>[{6},{2},{3},{4},{1},{5}]=>[6,2,3,4,1,5]
[5,2,3,6,1,4]=>[{5},{2},{3},{6},{1},{4}]=>[5,2,3,6,1,4]
[5,2,3,6,4,1]=>[{6},{2},{3},{5},{1},{4}]=>[6,2,3,5,1,4]
[5,2,4,1,3,6]=>[{4},{2},{5},{3},{1},{6}]=>[4,2,5,3,1,6]
[5,2,4,1,6,3]=>[{4},{2},{6},{3},{1},{5}]=>[4,2,6,3,1,5]
[5,2,4,3,1,6]=>[{5},{2},{4},{3},{1},{6}]=>[5,2,4,3,1,6]
[5,2,4,3,6,1]=>[{6},{2},{4},{3},{1},{5}]=>[6,2,4,3,1,5]
[5,2,4,6,1,3]=>[{5},{2},{6},{3},{1},{4}]=>[5,2,6,3,1,4]
[5,2,4,6,3,1]=>[{6},{2},{5},{3},{1},{4}]=>[6,2,5,3,1,4]
[5,2,6,1,3,4]=>[{4},{2},{5},{6},{1},{3}]=>[4,2,5,6,1,3]
[5,2,6,1,4,3]=>[{4},{2},{6},{5},{1},{3}]=>[4,2,6,5,1,3]
[5,2,6,3,1,4]=>[{5},{2},{4},{6},{1},{3}]=>[5,2,4,6,1,3]
[5,2,6,3,4,1]=>[{6},{2},{4},{5},{1},{3}]=>[6,2,4,5,1,3]
[5,2,6,4,1,3]=>[{5},{2},{6},{4},{1},{3}]=>[5,2,6,4,1,3]
[5,2,6,4,3,1]=>[{6},{2},{5},{4},{1},{3}]=>[6,2,5,4,1,3]
[5,3,1,2,4,6]=>[{3},{4},{2},{5},{1},{6}]=>[3,4,2,5,1,6]
[5,3,1,2,6,4]=>[{3},{4},{2},{6},{1},{5}]=>[3,4,2,6,1,5]
[5,3,1,4,2,6]=>[{3},{5},{2},{4},{1},{6}]=>[3,5,2,4,1,6]
[5,3,1,4,6,2]=>[{3},{6},{2},{4},{1},{5}]=>[3,6,2,4,1,5]
[5,3,1,6,2,4]=>[{3},{5},{2},{6},{1},{4}]=>[3,5,2,6,1,4]
[5,3,1,6,4,2]=>[{3},{6},{2},{5},{1},{4}]=>[3,6,2,5,1,4]
[5,3,2,1,4,6]=>[{4},{3},{2},{5},{1},{6}]=>[4,3,2,5,1,6]
[5,3,2,1,6,4]=>[{4},{3},{2},{6},{1},{5}]=>[4,3,2,6,1,5]
[5,3,2,4,1,6]=>[{5},{3},{2},{4},{1},{6}]=>[5,3,2,4,1,6]
[5,3,2,4,6,1]=>[{6},{3},{2},{4},{1},{5}]=>[6,3,2,4,1,5]
[5,3,2,6,1,4]=>[{5},{3},{2},{6},{1},{4}]=>[5,3,2,6,1,4]
[5,3,2,6,4,1]=>[{6},{3},{2},{5},{1},{4}]=>[6,3,2,5,1,4]
[5,3,4,1,2,6]=>[{4},{5},{2},{3},{1},{6}]=>[4,5,2,3,1,6]
[5,3,4,1,6,2]=>[{4},{6},{2},{3},{1},{5}]=>[4,6,2,3,1,5]
[5,3,4,2,1,6]=>[{5},{4},{2},{3},{1},{6}]=>[5,4,2,3,1,6]
[5,3,4,2,6,1]=>[{6},{4},{2},{3},{1},{5}]=>[6,4,2,3,1,5]
[5,3,4,6,1,2]=>[{5},{6},{2},{3},{1},{4}]=>[5,6,2,3,1,4]
[5,3,4,6,2,1]=>[{6},{5},{2},{3},{1},{4}]=>[6,5,2,3,1,4]
[5,3,6,1,2,4]=>[{4},{5},{2},{6},{1},{3}]=>[4,5,2,6,1,3]
[5,3,6,1,4,2]=>[{4},{6},{2},{5},{1},{3}]=>[4,6,2,5,1,3]
[5,3,6,2,1,4]=>[{5},{4},{2},{6},{1},{3}]=>[5,4,2,6,1,3]
[5,3,6,2,4,1]=>[{6},{4},{2},{5},{1},{3}]=>[6,4,2,5,1,3]
[5,3,6,4,1,2]=>[{5},{6},{2},{4},{1},{3}]=>[5,6,2,4,1,3]
[5,3,6,4,2,1]=>[{6},{5},{2},{4},{1},{3}]=>[6,5,2,4,1,3]
[5,4,1,2,3,6]=>[{3},{4},{5},{2},{1},{6}]=>[3,4,5,2,1,6]
[5,4,1,2,6,3]=>[{3},{4},{6},{2},{1},{5}]=>[3,4,6,2,1,5]
[5,4,1,3,2,6]=>[{3},{5},{4},{2},{1},{6}]=>[3,5,4,2,1,6]
[5,4,1,3,6,2]=>[{3},{6},{4},{2},{1},{5}]=>[3,6,4,2,1,5]
[5,4,1,6,2,3]=>[{3},{5},{6},{2},{1},{4}]=>[3,5,6,2,1,4]
[5,4,1,6,3,2]=>[{3},{6},{5},{2},{1},{4}]=>[3,6,5,2,1,4]
[5,4,2,1,3,6]=>[{4},{3},{5},{2},{1},{6}]=>[4,3,5,2,1,6]
[5,4,2,1,6,3]=>[{4},{3},{6},{2},{1},{5}]=>[4,3,6,2,1,5]
[5,4,2,3,1,6]=>[{5},{3},{4},{2},{1},{6}]=>[5,3,4,2,1,6]
[5,4,2,3,6,1]=>[{6},{3},{4},{2},{1},{5}]=>[6,3,4,2,1,5]
[5,4,2,6,1,3]=>[{5},{3},{6},{2},{1},{4}]=>[5,3,6,2,1,4]
[5,4,2,6,3,1]=>[{6},{3},{5},{2},{1},{4}]=>[6,3,5,2,1,4]
[5,4,3,1,2,6]=>[{4},{5},{3},{2},{1},{6}]=>[4,5,3,2,1,6]
[5,4,3,1,6,2]=>[{4},{6},{3},{2},{1},{5}]=>[4,6,3,2,1,5]
[5,4,3,2,1,6]=>[{5},{4},{3},{2},{1},{6}]=>[5,4,3,2,1,6]
[5,4,3,2,6,1]=>[{6},{4},{3},{2},{1},{5}]=>[6,4,3,2,1,5]
[5,4,3,6,1,2]=>[{5},{6},{3},{2},{1},{4}]=>[5,6,3,2,1,4]
[5,4,3,6,2,1]=>[{6},{5},{3},{2},{1},{4}]=>[6,5,3,2,1,4]
[5,4,6,1,2,3]=>[{4},{5},{6},{2},{1},{3}]=>[4,5,6,2,1,3]
[5,4,6,1,3,2]=>[{4},{6},{5},{2},{1},{3}]=>[4,6,5,2,1,3]
[5,4,6,2,1,3]=>[{5},{4},{6},{2},{1},{3}]=>[5,4,6,2,1,3]
[5,4,6,2,3,1]=>[{6},{4},{5},{2},{1},{3}]=>[6,4,5,2,1,3]
[5,4,6,3,1,2]=>[{5},{6},{4},{2},{1},{3}]=>[5,6,4,2,1,3]
[5,4,6,3,2,1]=>[{6},{5},{4},{2},{1},{3}]=>[6,5,4,2,1,3]
[5,6,1,2,3,4]=>[{3},{4},{5},{6},{1},{2}]=>[3,4,5,6,1,2]
[5,6,1,2,4,3]=>[{3},{4},{6},{5},{1},{2}]=>[3,4,6,5,1,2]
[5,6,1,3,2,4]=>[{3},{5},{4},{6},{1},{2}]=>[3,5,4,6,1,2]
[5,6,1,3,4,2]=>[{3},{6},{4},{5},{1},{2}]=>[3,6,4,5,1,2]
[5,6,1,4,2,3]=>[{3},{5},{6},{4},{1},{2}]=>[3,5,6,4,1,2]
[5,6,1,4,3,2]=>[{3},{6},{5},{4},{1},{2}]=>[3,6,5,4,1,2]
[5,6,2,1,3,4]=>[{4},{3},{5},{6},{1},{2}]=>[4,3,5,6,1,2]
[5,6,2,1,4,3]=>[{4},{3},{6},{5},{1},{2}]=>[4,3,6,5,1,2]
[5,6,2,3,1,4]=>[{5},{3},{4},{6},{1},{2}]=>[5,3,4,6,1,2]
[5,6,2,3,4,1]=>[{6},{3},{4},{5},{1},{2}]=>[6,3,4,5,1,2]
[5,6,2,4,1,3]=>[{5},{3},{6},{4},{1},{2}]=>[5,3,6,4,1,2]
[5,6,2,4,3,1]=>[{6},{3},{5},{4},{1},{2}]=>[6,3,5,4,1,2]
[5,6,3,1,2,4]=>[{4},{5},{3},{6},{1},{2}]=>[4,5,3,6,1,2]
[5,6,3,1,4,2]=>[{4},{6},{3},{5},{1},{2}]=>[4,6,3,5,1,2]
[5,6,3,2,1,4]=>[{5},{4},{3},{6},{1},{2}]=>[5,4,3,6,1,2]
[5,6,3,2,4,1]=>[{6},{4},{3},{5},{1},{2}]=>[6,4,3,5,1,2]
[5,6,3,4,1,2]=>[{5},{6},{3},{4},{1},{2}]=>[5,6,3,4,1,2]
[5,6,3,4,2,1]=>[{6},{5},{3},{4},{1},{2}]=>[6,5,3,4,1,2]
[5,6,4,1,2,3]=>[{4},{5},{6},{3},{1},{2}]=>[4,5,6,3,1,2]
[5,6,4,1,3,2]=>[{4},{6},{5},{3},{1},{2}]=>[4,6,5,3,1,2]
[5,6,4,2,1,3]=>[{5},{4},{6},{3},{1},{2}]=>[5,4,6,3,1,2]
[5,6,4,2,3,1]=>[{6},{4},{5},{3},{1},{2}]=>[6,4,5,3,1,2]
[5,6,4,3,1,2]=>[{5},{6},{4},{3},{1},{2}]=>[5,6,4,3,1,2]
[5,6,4,3,2,1]=>[{6},{5},{4},{3},{1},{2}]=>[6,5,4,3,1,2]
[6,1,2,3,4,5]=>[{2},{3},{4},{5},{6},{1}]=>[2,3,4,5,6,1]
[6,1,2,3,5,4]=>[{2},{3},{4},{6},{5},{1}]=>[2,3,4,6,5,1]
[6,1,2,4,3,5]=>[{2},{3},{5},{4},{6},{1}]=>[2,3,5,4,6,1]
[6,1,2,4,5,3]=>[{2},{3},{6},{4},{5},{1}]=>[2,3,6,4,5,1]
[6,1,2,5,3,4]=>[{2},{3},{5},{6},{4},{1}]=>[2,3,5,6,4,1]
[6,1,2,5,4,3]=>[{2},{3},{6},{5},{4},{1}]=>[2,3,6,5,4,1]
[6,1,3,2,4,5]=>[{2},{4},{3},{5},{6},{1}]=>[2,4,3,5,6,1]
[6,1,3,2,5,4]=>[{2},{4},{3},{6},{5},{1}]=>[2,4,3,6,5,1]
[6,1,3,4,2,5]=>[{2},{5},{3},{4},{6},{1}]=>[2,5,3,4,6,1]
[6,1,3,4,5,2]=>[{2},{6},{3},{4},{5},{1}]=>[2,6,3,4,5,1]
[6,1,3,5,2,4]=>[{2},{5},{3},{6},{4},{1}]=>[2,5,3,6,4,1]
[6,1,3,5,4,2]=>[{2},{6},{3},{5},{4},{1}]=>[2,6,3,5,4,1]
[6,1,4,2,3,5]=>[{2},{4},{5},{3},{6},{1}]=>[2,4,5,3,6,1]
[6,1,4,2,5,3]=>[{2},{4},{6},{3},{5},{1}]=>[2,4,6,3,5,1]
[6,1,4,3,2,5]=>[{2},{5},{4},{3},{6},{1}]=>[2,5,4,3,6,1]
[6,1,4,3,5,2]=>[{2},{6},{4},{3},{5},{1}]=>[2,6,4,3,5,1]
[6,1,4,5,2,3]=>[{2},{5},{6},{3},{4},{1}]=>[2,5,6,3,4,1]
[6,1,4,5,3,2]=>[{2},{6},{5},{3},{4},{1}]=>[2,6,5,3,4,1]
[6,1,5,2,3,4]=>[{2},{4},{5},{6},{3},{1}]=>[2,4,5,6,3,1]
[6,1,5,2,4,3]=>[{2},{4},{6},{5},{3},{1}]=>[2,4,6,5,3,1]
[6,1,5,3,2,4]=>[{2},{5},{4},{6},{3},{1}]=>[2,5,4,6,3,1]
[6,1,5,3,4,2]=>[{2},{6},{4},{5},{3},{1}]=>[2,6,4,5,3,1]
[6,1,5,4,2,3]=>[{2},{5},{6},{4},{3},{1}]=>[2,5,6,4,3,1]
[6,1,5,4,3,2]=>[{2},{6},{5},{4},{3},{1}]=>[2,6,5,4,3,1]
[6,2,1,3,4,5]=>[{3},{2},{4},{5},{6},{1}]=>[3,2,4,5,6,1]
[6,2,1,3,5,4]=>[{3},{2},{4},{6},{5},{1}]=>[3,2,4,6,5,1]
[6,2,1,4,3,5]=>[{3},{2},{5},{4},{6},{1}]=>[3,2,5,4,6,1]
[6,2,1,4,5,3]=>[{3},{2},{6},{4},{5},{1}]=>[3,2,6,4,5,1]
[6,2,1,5,3,4]=>[{3},{2},{5},{6},{4},{1}]=>[3,2,5,6,4,1]
[6,2,1,5,4,3]=>[{3},{2},{6},{5},{4},{1}]=>[3,2,6,5,4,1]
[6,2,3,1,4,5]=>[{4},{2},{3},{5},{6},{1}]=>[4,2,3,5,6,1]
[6,2,3,1,5,4]=>[{4},{2},{3},{6},{5},{1}]=>[4,2,3,6,5,1]
[6,2,3,4,1,5]=>[{5},{2},{3},{4},{6},{1}]=>[5,2,3,4,6,1]
[6,2,3,4,5,1]=>[{6},{2},{3},{4},{5},{1}]=>[6,2,3,4,5,1]
[6,2,3,5,1,4]=>[{5},{2},{3},{6},{4},{1}]=>[5,2,3,6,4,1]
[6,2,3,5,4,1]=>[{6},{2},{3},{5},{4},{1}]=>[6,2,3,5,4,1]
[6,2,4,1,3,5]=>[{4},{2},{5},{3},{6},{1}]=>[4,2,5,3,6,1]
[6,2,4,1,5,3]=>[{4},{2},{6},{3},{5},{1}]=>[4,2,6,3,5,1]
[6,2,4,3,1,5]=>[{5},{2},{4},{3},{6},{1}]=>[5,2,4,3,6,1]
[6,2,4,3,5,1]=>[{6},{2},{4},{3},{5},{1}]=>[6,2,4,3,5,1]
[6,2,4,5,1,3]=>[{5},{2},{6},{3},{4},{1}]=>[5,2,6,3,4,1]
[6,2,4,5,3,1]=>[{6},{2},{5},{3},{4},{1}]=>[6,2,5,3,4,1]
[6,2,5,1,3,4]=>[{4},{2},{5},{6},{3},{1}]=>[4,2,5,6,3,1]
[6,2,5,1,4,3]=>[{4},{2},{6},{5},{3},{1}]=>[4,2,6,5,3,1]
[6,2,5,3,1,4]=>[{5},{2},{4},{6},{3},{1}]=>[5,2,4,6,3,1]
[6,2,5,3,4,1]=>[{6},{2},{4},{5},{3},{1}]=>[6,2,4,5,3,1]
[6,2,5,4,1,3]=>[{5},{2},{6},{4},{3},{1}]=>[5,2,6,4,3,1]
[6,2,5,4,3,1]=>[{6},{2},{5},{4},{3},{1}]=>[6,2,5,4,3,1]
[6,3,1,2,4,5]=>[{3},{4},{2},{5},{6},{1}]=>[3,4,2,5,6,1]
[6,3,1,2,5,4]=>[{3},{4},{2},{6},{5},{1}]=>[3,4,2,6,5,1]
[6,3,1,4,2,5]=>[{3},{5},{2},{4},{6},{1}]=>[3,5,2,4,6,1]
[6,3,1,4,5,2]=>[{3},{6},{2},{4},{5},{1}]=>[3,6,2,4,5,1]
[6,3,1,5,2,4]=>[{3},{5},{2},{6},{4},{1}]=>[3,5,2,6,4,1]
[6,3,1,5,4,2]=>[{3},{6},{2},{5},{4},{1}]=>[3,6,2,5,4,1]
[6,3,2,1,4,5]=>[{4},{3},{2},{5},{6},{1}]=>[4,3,2,5,6,1]
[6,3,2,1,5,4]=>[{4},{3},{2},{6},{5},{1}]=>[4,3,2,6,5,1]
[6,3,2,4,1,5]=>[{5},{3},{2},{4},{6},{1}]=>[5,3,2,4,6,1]
[6,3,2,4,5,1]=>[{6},{3},{2},{4},{5},{1}]=>[6,3,2,4,5,1]
[6,3,2,5,1,4]=>[{5},{3},{2},{6},{4},{1}]=>[5,3,2,6,4,1]
[6,3,2,5,4,1]=>[{6},{3},{2},{5},{4},{1}]=>[6,3,2,5,4,1]
[6,3,4,1,2,5]=>[{4},{5},{2},{3},{6},{1}]=>[4,5,2,3,6,1]
[6,3,4,1,5,2]=>[{4},{6},{2},{3},{5},{1}]=>[4,6,2,3,5,1]
[6,3,4,2,1,5]=>[{5},{4},{2},{3},{6},{1}]=>[5,4,2,3,6,1]
[6,3,4,2,5,1]=>[{6},{4},{2},{3},{5},{1}]=>[6,4,2,3,5,1]
[6,3,4,5,1,2]=>[{5},{6},{2},{3},{4},{1}]=>[5,6,2,3,4,1]
[6,3,4,5,2,1]=>[{6},{5},{2},{3},{4},{1}]=>[6,5,2,3,4,1]
[6,3,5,1,2,4]=>[{4},{5},{2},{6},{3},{1}]=>[4,5,2,6,3,1]
[6,3,5,1,4,2]=>[{4},{6},{2},{5},{3},{1}]=>[4,6,2,5,3,1]
[6,3,5,2,1,4]=>[{5},{4},{2},{6},{3},{1}]=>[5,4,2,6,3,1]
[6,3,5,2,4,1]=>[{6},{4},{2},{5},{3},{1}]=>[6,4,2,5,3,1]
[6,3,5,4,1,2]=>[{5},{6},{2},{4},{3},{1}]=>[5,6,2,4,3,1]
[6,3,5,4,2,1]=>[{6},{5},{2},{4},{3},{1}]=>[6,5,2,4,3,1]
[6,4,1,2,3,5]=>[{3},{4},{5},{2},{6},{1}]=>[3,4,5,2,6,1]
[6,4,1,2,5,3]=>[{3},{4},{6},{2},{5},{1}]=>[3,4,6,2,5,1]
[6,4,1,3,2,5]=>[{3},{5},{4},{2},{6},{1}]=>[3,5,4,2,6,1]
[6,4,1,3,5,2]=>[{3},{6},{4},{2},{5},{1}]=>[3,6,4,2,5,1]
[6,4,1,5,2,3]=>[{3},{5},{6},{2},{4},{1}]=>[3,5,6,2,4,1]
[6,4,1,5,3,2]=>[{3},{6},{5},{2},{4},{1}]=>[3,6,5,2,4,1]
[6,4,2,1,3,5]=>[{4},{3},{5},{2},{6},{1}]=>[4,3,5,2,6,1]
[6,4,2,1,5,3]=>[{4},{3},{6},{2},{5},{1}]=>[4,3,6,2,5,1]
[6,4,2,3,1,5]=>[{5},{3},{4},{2},{6},{1}]=>[5,3,4,2,6,1]
[6,4,2,3,5,1]=>[{6},{3},{4},{2},{5},{1}]=>[6,3,4,2,5,1]
[6,4,2,5,1,3]=>[{5},{3},{6},{2},{4},{1}]=>[5,3,6,2,4,1]
[6,4,2,5,3,1]=>[{6},{3},{5},{2},{4},{1}]=>[6,3,5,2,4,1]
[6,4,3,1,2,5]=>[{4},{5},{3},{2},{6},{1}]=>[4,5,3,2,6,1]
[6,4,3,1,5,2]=>[{4},{6},{3},{2},{5},{1}]=>[4,6,3,2,5,1]
[6,4,3,2,1,5]=>[{5},{4},{3},{2},{6},{1}]=>[5,4,3,2,6,1]
[6,4,3,2,5,1]=>[{6},{4},{3},{2},{5},{1}]=>[6,4,3,2,5,1]
[6,4,3,5,1,2]=>[{5},{6},{3},{2},{4},{1}]=>[5,6,3,2,4,1]
[6,4,3,5,2,1]=>[{6},{5},{3},{2},{4},{1}]=>[6,5,3,2,4,1]
[6,4,5,1,2,3]=>[{4},{5},{6},{2},{3},{1}]=>[4,5,6,2,3,1]
[6,4,5,1,3,2]=>[{4},{6},{5},{2},{3},{1}]=>[4,6,5,2,3,1]
[6,4,5,2,1,3]=>[{5},{4},{6},{2},{3},{1}]=>[5,4,6,2,3,1]
[6,4,5,2,3,1]=>[{6},{4},{5},{2},{3},{1}]=>[6,4,5,2,3,1]
[6,4,5,3,1,2]=>[{5},{6},{4},{2},{3},{1}]=>[5,6,4,2,3,1]
[6,4,5,3,2,1]=>[{6},{5},{4},{2},{3},{1}]=>[6,5,4,2,3,1]
[6,5,1,2,3,4]=>[{3},{4},{5},{6},{2},{1}]=>[3,4,5,6,2,1]
[6,5,1,2,4,3]=>[{3},{4},{6},{5},{2},{1}]=>[3,4,6,5,2,1]
[6,5,1,3,2,4]=>[{3},{5},{4},{6},{2},{1}]=>[3,5,4,6,2,1]
[6,5,1,3,4,2]=>[{3},{6},{4},{5},{2},{1}]=>[3,6,4,5,2,1]
[6,5,1,4,2,3]=>[{3},{5},{6},{4},{2},{1}]=>[3,5,6,4,2,1]
[6,5,1,4,3,2]=>[{3},{6},{5},{4},{2},{1}]=>[3,6,5,4,2,1]
[6,5,2,1,3,4]=>[{4},{3},{5},{6},{2},{1}]=>[4,3,5,6,2,1]
[6,5,2,1,4,3]=>[{4},{3},{6},{5},{2},{1}]=>[4,3,6,5,2,1]
[6,5,2,3,1,4]=>[{5},{3},{4},{6},{2},{1}]=>[5,3,4,6,2,1]
[6,5,2,3,4,1]=>[{6},{3},{4},{5},{2},{1}]=>[6,3,4,5,2,1]
[6,5,2,4,1,3]=>[{5},{3},{6},{4},{2},{1}]=>[5,3,6,4,2,1]
[6,5,2,4,3,1]=>[{6},{3},{5},{4},{2},{1}]=>[6,3,5,4,2,1]
[6,5,3,1,2,4]=>[{4},{5},{3},{6},{2},{1}]=>[4,5,3,6,2,1]
[6,5,3,1,4,2]=>[{4},{6},{3},{5},{2},{1}]=>[4,6,3,5,2,1]
[6,5,3,2,1,4]=>[{5},{4},{3},{6},{2},{1}]=>[5,4,3,6,2,1]
[6,5,3,2,4,1]=>[{6},{4},{3},{5},{2},{1}]=>[6,4,3,5,2,1]
[6,5,3,4,1,2]=>[{5},{6},{3},{4},{2},{1}]=>[5,6,3,4,2,1]
[6,5,3,4,2,1]=>[{6},{5},{3},{4},{2},{1}]=>[6,5,3,4,2,1]
[6,5,4,1,2,3]=>[{4},{5},{6},{3},{2},{1}]=>[4,5,6,3,2,1]
[6,5,4,1,3,2]=>[{4},{6},{5},{3},{2},{1}]=>[4,6,5,3,2,1]
[6,5,4,2,1,3]=>[{5},{4},{6},{3},{2},{1}]=>[5,4,6,3,2,1]
[6,5,4,2,3,1]=>[{6},{4},{5},{3},{2},{1}]=>[6,4,5,3,2,1]
[6,5,4,3,1,2]=>[{5},{6},{4},{3},{2},{1}]=>[5,6,4,3,2,1]
[6,5,4,3,2,1]=>[{6},{5},{4},{3},{2},{1}]=>[6,5,4,3,2,1]
Map
to ordered set partition
Description
Return the ordered set partition whose blocks are the labels of the runs of the labelled Dyck path.
Map
to permutation
Description
Return the permutation obtained by concatenating the blocks sorted into increasing order.
searching the database
Sorry, this map was not found in the database.