Identifier
Mp00159:
Permutations
—Demazure product with inverse⟶
Permutations
Mp00151: Permutations —to cycle type⟶ Set partitions
Mp00115: Set partitions —Kasraoui-Zeng⟶ Set partitions
Mp00218: Set partitions —inverse Wachs-White-rho⟶ Set partitions
Mp00151: Permutations —to cycle type⟶ Set partitions
Mp00115: Set partitions —Kasraoui-Zeng⟶ Set partitions
Mp00218: Set partitions —inverse Wachs-White-rho⟶ Set partitions
Images
=>
Cc0009;cc-rep-2Cc0009;cc-rep-3Cc0009;cc-rep-4
[1]=>[1]=>{{1}}=>{{1}}=>{{1}}
[1,2]=>[1,2]=>{{1},{2}}=>{{1},{2}}=>{{1},{2}}
[2,1]=>[2,1]=>{{1,2}}=>{{1,2}}=>{{1,2}}
[1,2,3]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}=>{{1},{2},{3}}
[1,3,2]=>[1,3,2]=>{{1},{2,3}}=>{{1},{2,3}}=>{{1},{2,3}}
[2,1,3]=>[2,1,3]=>{{1,2},{3}}=>{{1,2},{3}}=>{{1,2},{3}}
[2,3,1]=>[3,2,1]=>{{1,3},{2}}=>{{1,3},{2}}=>{{1,3},{2}}
[3,1,2]=>[3,2,1]=>{{1,3},{2}}=>{{1,3},{2}}=>{{1,3},{2}}
[3,2,1]=>[3,2,1]=>{{1,3},{2}}=>{{1,3},{2}}=>{{1,3},{2}}
[1,2,3,4]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[1,2,4,3]=>[1,2,4,3]=>{{1},{2},{3,4}}=>{{1},{2},{3,4}}=>{{1},{2},{3,4}}
[1,3,2,4]=>[1,3,2,4]=>{{1},{2,3},{4}}=>{{1},{2,3},{4}}=>{{1},{2,3},{4}}
[1,3,4,2]=>[1,4,3,2]=>{{1},{2,4},{3}}=>{{1},{2,4},{3}}=>{{1},{2,4},{3}}
[1,4,2,3]=>[1,4,3,2]=>{{1},{2,4},{3}}=>{{1},{2,4},{3}}=>{{1},{2,4},{3}}
[1,4,3,2]=>[1,4,3,2]=>{{1},{2,4},{3}}=>{{1},{2,4},{3}}=>{{1},{2,4},{3}}
[2,1,3,4]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[2,1,4,3]=>[2,1,4,3]=>{{1,2},{3,4}}=>{{1,2},{3,4}}=>{{1,2},{3,4}}
[2,3,1,4]=>[3,2,1,4]=>{{1,3},{2},{4}}=>{{1,3},{2},{4}}=>{{1,3},{2},{4}}
[2,3,4,1]=>[4,2,3,1]=>{{1,4},{2},{3}}=>{{1,4},{2},{3}}=>{{1,4},{2},{3}}
[2,4,1,3]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,4},{2,3}}=>{{1,3},{2,4}}
[2,4,3,1]=>[4,3,2,1]=>{{1,4},{2,3}}=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[3,1,2,4]=>[3,2,1,4]=>{{1,3},{2},{4}}=>{{1,3},{2},{4}}=>{{1,3},{2},{4}}
[3,1,4,2]=>[4,2,3,1]=>{{1,4},{2},{3}}=>{{1,4},{2},{3}}=>{{1,4},{2},{3}}
[3,2,1,4]=>[3,2,1,4]=>{{1,3},{2},{4}}=>{{1,3},{2},{4}}=>{{1,3},{2},{4}}
[3,2,4,1]=>[4,2,3,1]=>{{1,4},{2},{3}}=>{{1,4},{2},{3}}=>{{1,4},{2},{3}}
[3,4,1,2]=>[4,3,2,1]=>{{1,4},{2,3}}=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[3,4,2,1]=>[4,3,2,1]=>{{1,4},{2,3}}=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[4,1,2,3]=>[4,2,3,1]=>{{1,4},{2},{3}}=>{{1,4},{2},{3}}=>{{1,4},{2},{3}}
[4,1,3,2]=>[4,2,3,1]=>{{1,4},{2},{3}}=>{{1,4},{2},{3}}=>{{1,4},{2},{3}}
[4,2,1,3]=>[4,3,2,1]=>{{1,4},{2,3}}=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[4,2,3,1]=>[4,3,2,1]=>{{1,4},{2,3}}=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[4,3,1,2]=>[4,3,2,1]=>{{1,4},{2,3}}=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[4,3,2,1]=>[4,3,2,1]=>{{1,4},{2,3}}=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[1,2,3,4,5]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[1,2,3,5,4]=>[1,2,3,5,4]=>{{1},{2},{3},{4,5}}=>{{1},{2},{3},{4,5}}=>{{1},{2},{3},{4,5}}
[1,2,4,3,5]=>[1,2,4,3,5]=>{{1},{2},{3,4},{5}}=>{{1},{2},{3,4},{5}}=>{{1},{2},{3,4},{5}}
[1,2,4,5,3]=>[1,2,5,4,3]=>{{1},{2},{3,5},{4}}=>{{1},{2},{3,5},{4}}=>{{1},{2},{3,5},{4}}
[1,2,5,3,4]=>[1,2,5,4,3]=>{{1},{2},{3,5},{4}}=>{{1},{2},{3,5},{4}}=>{{1},{2},{3,5},{4}}
[1,2,5,4,3]=>[1,2,5,4,3]=>{{1},{2},{3,5},{4}}=>{{1},{2},{3,5},{4}}=>{{1},{2},{3,5},{4}}
[1,3,2,4,5]=>[1,3,2,4,5]=>{{1},{2,3},{4},{5}}=>{{1},{2,3},{4},{5}}=>{{1},{2,3},{4},{5}}
[1,3,2,5,4]=>[1,3,2,5,4]=>{{1},{2,3},{4,5}}=>{{1},{2,3},{4,5}}=>{{1},{2,3},{4,5}}
[1,3,4,2,5]=>[1,4,3,2,5]=>{{1},{2,4},{3},{5}}=>{{1},{2,4},{3},{5}}=>{{1},{2,4},{3},{5}}
[1,3,4,5,2]=>[1,5,3,4,2]=>{{1},{2,5},{3},{4}}=>{{1},{2,5},{3},{4}}=>{{1},{2,5},{3},{4}}
[1,3,5,2,4]=>[1,4,5,2,3]=>{{1},{2,4},{3,5}}=>{{1},{2,5},{3,4}}=>{{1},{2,4},{3,5}}
[1,3,5,4,2]=>[1,5,4,3,2]=>{{1},{2,5},{3,4}}=>{{1},{2,4},{3,5}}=>{{1},{2,5},{3,4}}
[1,4,2,3,5]=>[1,4,3,2,5]=>{{1},{2,4},{3},{5}}=>{{1},{2,4},{3},{5}}=>{{1},{2,4},{3},{5}}
[1,4,2,5,3]=>[1,5,3,4,2]=>{{1},{2,5},{3},{4}}=>{{1},{2,5},{3},{4}}=>{{1},{2,5},{3},{4}}
[1,4,3,2,5]=>[1,4,3,2,5]=>{{1},{2,4},{3},{5}}=>{{1},{2,4},{3},{5}}=>{{1},{2,4},{3},{5}}
[1,4,3,5,2]=>[1,5,3,4,2]=>{{1},{2,5},{3},{4}}=>{{1},{2,5},{3},{4}}=>{{1},{2,5},{3},{4}}
[1,4,5,2,3]=>[1,5,4,3,2]=>{{1},{2,5},{3,4}}=>{{1},{2,4},{3,5}}=>{{1},{2,5},{3,4}}
[1,4,5,3,2]=>[1,5,4,3,2]=>{{1},{2,5},{3,4}}=>{{1},{2,4},{3,5}}=>{{1},{2,5},{3,4}}
[1,5,2,3,4]=>[1,5,3,4,2]=>{{1},{2,5},{3},{4}}=>{{1},{2,5},{3},{4}}=>{{1},{2,5},{3},{4}}
[1,5,2,4,3]=>[1,5,3,4,2]=>{{1},{2,5},{3},{4}}=>{{1},{2,5},{3},{4}}=>{{1},{2,5},{3},{4}}
[1,5,3,2,4]=>[1,5,4,3,2]=>{{1},{2,5},{3,4}}=>{{1},{2,4},{3,5}}=>{{1},{2,5},{3,4}}
[1,5,3,4,2]=>[1,5,4,3,2]=>{{1},{2,5},{3,4}}=>{{1},{2,4},{3,5}}=>{{1},{2,5},{3,4}}
[1,5,4,2,3]=>[1,5,4,3,2]=>{{1},{2,5},{3,4}}=>{{1},{2,4},{3,5}}=>{{1},{2,5},{3,4}}
[1,5,4,3,2]=>[1,5,4,3,2]=>{{1},{2,5},{3,4}}=>{{1},{2,4},{3,5}}=>{{1},{2,5},{3,4}}
[2,1,3,4,5]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
[2,1,3,5,4]=>[2,1,3,5,4]=>{{1,2},{3},{4,5}}=>{{1,2},{3},{4,5}}=>{{1,2},{3},{4,5}}
[2,1,4,3,5]=>[2,1,4,3,5]=>{{1,2},{3,4},{5}}=>{{1,2},{3,4},{5}}=>{{1,2},{3,4},{5}}
[2,1,4,5,3]=>[2,1,5,4,3]=>{{1,2},{3,5},{4}}=>{{1,2},{3,5},{4}}=>{{1,2},{3,5},{4}}
[2,1,5,3,4]=>[2,1,5,4,3]=>{{1,2},{3,5},{4}}=>{{1,2},{3,5},{4}}=>{{1,2},{3,5},{4}}
[2,1,5,4,3]=>[2,1,5,4,3]=>{{1,2},{3,5},{4}}=>{{1,2},{3,5},{4}}=>{{1,2},{3,5},{4}}
[2,3,1,4,5]=>[3,2,1,4,5]=>{{1,3},{2},{4},{5}}=>{{1,3},{2},{4},{5}}=>{{1,3},{2},{4},{5}}
[2,3,1,5,4]=>[3,2,1,5,4]=>{{1,3},{2},{4,5}}=>{{1,3},{2},{4,5}}=>{{1,3},{2},{4,5}}
[2,3,4,1,5]=>[4,2,3,1,5]=>{{1,4},{2},{3},{5}}=>{{1,4},{2},{3},{5}}=>{{1,4},{2},{3},{5}}
[2,3,4,5,1]=>[5,2,3,4,1]=>{{1,5},{2},{3},{4}}=>{{1,5},{2},{3},{4}}=>{{1,5},{2},{3},{4}}
[2,3,5,1,4]=>[4,2,5,1,3]=>{{1,4},{2},{3,5}}=>{{1,5},{2},{3,4}}=>{{1,4},{2},{3,5}}
[2,3,5,4,1]=>[5,2,4,3,1]=>{{1,5},{2},{3,4}}=>{{1,4},{2},{3,5}}=>{{1,5},{2},{3,4}}
[2,4,1,3,5]=>[3,4,1,2,5]=>{{1,3},{2,4},{5}}=>{{1,4},{2,3},{5}}=>{{1,3},{2,4},{5}}
[2,4,1,5,3]=>[3,5,1,4,2]=>{{1,3},{2,5},{4}}=>{{1,5},{2,3},{4}}=>{{1,3},{2,5},{4}}
[2,4,3,1,5]=>[4,3,2,1,5]=>{{1,4},{2,3},{5}}=>{{1,3},{2,4},{5}}=>{{1,4},{2,3},{5}}
[2,4,3,5,1]=>[5,3,2,4,1]=>{{1,5},{2,3},{4}}=>{{1,3},{2,5},{4}}=>{{1,5},{2,3},{4}}
[2,4,5,1,3]=>[4,5,3,1,2]=>{{1,4},{2,5},{3}}=>{{1,5},{2,4},{3}}=>{{1,4},{2,5},{3}}
[2,4,5,3,1]=>[5,4,3,2,1]=>{{1,5},{2,4},{3}}=>{{1,4},{2,5},{3}}=>{{1,5},{2,4},{3}}
[2,5,1,3,4]=>[3,5,1,4,2]=>{{1,3},{2,5},{4}}=>{{1,5},{2,3},{4}}=>{{1,3},{2,5},{4}}
[2,5,1,4,3]=>[3,5,1,4,2]=>{{1,3},{2,5},{4}}=>{{1,5},{2,3},{4}}=>{{1,3},{2,5},{4}}
[2,5,3,1,4]=>[4,5,3,1,2]=>{{1,4},{2,5},{3}}=>{{1,5},{2,4},{3}}=>{{1,4},{2,5},{3}}
[2,5,3,4,1]=>[5,4,3,2,1]=>{{1,5},{2,4},{3}}=>{{1,4},{2,5},{3}}=>{{1,5},{2,4},{3}}
[2,5,4,1,3]=>[4,5,3,1,2]=>{{1,4},{2,5},{3}}=>{{1,5},{2,4},{3}}=>{{1,4},{2,5},{3}}
[2,5,4,3,1]=>[5,4,3,2,1]=>{{1,5},{2,4},{3}}=>{{1,4},{2,5},{3}}=>{{1,5},{2,4},{3}}
[3,1,2,4,5]=>[3,2,1,4,5]=>{{1,3},{2},{4},{5}}=>{{1,3},{2},{4},{5}}=>{{1,3},{2},{4},{5}}
[3,1,2,5,4]=>[3,2,1,5,4]=>{{1,3},{2},{4,5}}=>{{1,3},{2},{4,5}}=>{{1,3},{2},{4,5}}
[3,1,4,2,5]=>[4,2,3,1,5]=>{{1,4},{2},{3},{5}}=>{{1,4},{2},{3},{5}}=>{{1,4},{2},{3},{5}}
[3,1,4,5,2]=>[5,2,3,4,1]=>{{1,5},{2},{3},{4}}=>{{1,5},{2},{3},{4}}=>{{1,5},{2},{3},{4}}
[3,1,5,2,4]=>[4,2,5,1,3]=>{{1,4},{2},{3,5}}=>{{1,5},{2},{3,4}}=>{{1,4},{2},{3,5}}
[3,1,5,4,2]=>[5,2,4,3,1]=>{{1,5},{2},{3,4}}=>{{1,4},{2},{3,5}}=>{{1,5},{2},{3,4}}
[3,2,1,4,5]=>[3,2,1,4,5]=>{{1,3},{2},{4},{5}}=>{{1,3},{2},{4},{5}}=>{{1,3},{2},{4},{5}}
[3,2,1,5,4]=>[3,2,1,5,4]=>{{1,3},{2},{4,5}}=>{{1,3},{2},{4,5}}=>{{1,3},{2},{4,5}}
[3,2,4,1,5]=>[4,2,3,1,5]=>{{1,4},{2},{3},{5}}=>{{1,4},{2},{3},{5}}=>{{1,4},{2},{3},{5}}
[3,2,4,5,1]=>[5,2,3,4,1]=>{{1,5},{2},{3},{4}}=>{{1,5},{2},{3},{4}}=>{{1,5},{2},{3},{4}}
[3,2,5,1,4]=>[4,2,5,1,3]=>{{1,4},{2},{3,5}}=>{{1,5},{2},{3,4}}=>{{1,4},{2},{3,5}}
[3,2,5,4,1]=>[5,2,4,3,1]=>{{1,5},{2},{3,4}}=>{{1,4},{2},{3,5}}=>{{1,5},{2},{3,4}}
[3,4,1,2,5]=>[4,3,2,1,5]=>{{1,4},{2,3},{5}}=>{{1,3},{2,4},{5}}=>{{1,4},{2,3},{5}}
[3,4,1,5,2]=>[5,3,2,4,1]=>{{1,5},{2,3},{4}}=>{{1,3},{2,5},{4}}=>{{1,5},{2,3},{4}}
[3,4,2,1,5]=>[4,3,2,1,5]=>{{1,4},{2,3},{5}}=>{{1,3},{2,4},{5}}=>{{1,4},{2,3},{5}}
[3,4,2,5,1]=>[5,3,2,4,1]=>{{1,5},{2,3},{4}}=>{{1,3},{2,5},{4}}=>{{1,5},{2,3},{4}}
[3,4,5,1,2]=>[5,4,3,2,1]=>{{1,5},{2,4},{3}}=>{{1,4},{2,5},{3}}=>{{1,5},{2,4},{3}}
[3,4,5,2,1]=>[5,4,3,2,1]=>{{1,5},{2,4},{3}}=>{{1,4},{2,5},{3}}=>{{1,5},{2,4},{3}}
[3,5,1,2,4]=>[4,5,3,1,2]=>{{1,4},{2,5},{3}}=>{{1,5},{2,4},{3}}=>{{1,4},{2,5},{3}}
[3,5,1,4,2]=>[5,4,3,2,1]=>{{1,5},{2,4},{3}}=>{{1,4},{2,5},{3}}=>{{1,5},{2,4},{3}}
[3,5,2,1,4]=>[4,5,3,1,2]=>{{1,4},{2,5},{3}}=>{{1,5},{2,4},{3}}=>{{1,4},{2,5},{3}}
[3,5,2,4,1]=>[5,4,3,2,1]=>{{1,5},{2,4},{3}}=>{{1,4},{2,5},{3}}=>{{1,5},{2,4},{3}}
[3,5,4,1,2]=>[5,4,3,2,1]=>{{1,5},{2,4},{3}}=>{{1,4},{2,5},{3}}=>{{1,5},{2,4},{3}}
[3,5,4,2,1]=>[5,4,3,2,1]=>{{1,5},{2,4},{3}}=>{{1,4},{2,5},{3}}=>{{1,5},{2,4},{3}}
[4,1,2,3,5]=>[4,2,3,1,5]=>{{1,4},{2},{3},{5}}=>{{1,4},{2},{3},{5}}=>{{1,4},{2},{3},{5}}
[4,1,2,5,3]=>[5,2,3,4,1]=>{{1,5},{2},{3},{4}}=>{{1,5},{2},{3},{4}}=>{{1,5},{2},{3},{4}}
[4,1,3,2,5]=>[4,2,3,1,5]=>{{1,4},{2},{3},{5}}=>{{1,4},{2},{3},{5}}=>{{1,4},{2},{3},{5}}
[4,1,3,5,2]=>[5,2,3,4,1]=>{{1,5},{2},{3},{4}}=>{{1,5},{2},{3},{4}}=>{{1,5},{2},{3},{4}}
[4,1,5,2,3]=>[5,2,4,3,1]=>{{1,5},{2},{3,4}}=>{{1,4},{2},{3,5}}=>{{1,5},{2},{3,4}}
[4,1,5,3,2]=>[5,2,4,3,1]=>{{1,5},{2},{3,4}}=>{{1,4},{2},{3,5}}=>{{1,5},{2},{3,4}}
[4,2,1,3,5]=>[4,3,2,1,5]=>{{1,4},{2,3},{5}}=>{{1,3},{2,4},{5}}=>{{1,4},{2,3},{5}}
[4,2,1,5,3]=>[5,3,2,4,1]=>{{1,5},{2,3},{4}}=>{{1,3},{2,5},{4}}=>{{1,5},{2,3},{4}}
[4,2,3,1,5]=>[4,3,2,1,5]=>{{1,4},{2,3},{5}}=>{{1,3},{2,4},{5}}=>{{1,4},{2,3},{5}}
[4,2,3,5,1]=>[5,3,2,4,1]=>{{1,5},{2,3},{4}}=>{{1,3},{2,5},{4}}=>{{1,5},{2,3},{4}}
[4,2,5,1,3]=>[5,4,3,2,1]=>{{1,5},{2,4},{3}}=>{{1,4},{2,5},{3}}=>{{1,5},{2,4},{3}}
[4,2,5,3,1]=>[5,4,3,2,1]=>{{1,5},{2,4},{3}}=>{{1,4},{2,5},{3}}=>{{1,5},{2,4},{3}}
[4,3,1,2,5]=>[4,3,2,1,5]=>{{1,4},{2,3},{5}}=>{{1,3},{2,4},{5}}=>{{1,4},{2,3},{5}}
[4,3,1,5,2]=>[5,3,2,4,1]=>{{1,5},{2,3},{4}}=>{{1,3},{2,5},{4}}=>{{1,5},{2,3},{4}}
[4,3,2,1,5]=>[4,3,2,1,5]=>{{1,4},{2,3},{5}}=>{{1,3},{2,4},{5}}=>{{1,4},{2,3},{5}}
[4,3,2,5,1]=>[5,3,2,4,1]=>{{1,5},{2,3},{4}}=>{{1,3},{2,5},{4}}=>{{1,5},{2,3},{4}}
[4,3,5,1,2]=>[5,4,3,2,1]=>{{1,5},{2,4},{3}}=>{{1,4},{2,5},{3}}=>{{1,5},{2,4},{3}}
[4,3,5,2,1]=>[5,4,3,2,1]=>{{1,5},{2,4},{3}}=>{{1,4},{2,5},{3}}=>{{1,5},{2,4},{3}}
[4,5,1,2,3]=>[5,4,3,2,1]=>{{1,5},{2,4},{3}}=>{{1,4},{2,5},{3}}=>{{1,5},{2,4},{3}}
[4,5,1,3,2]=>[5,4,3,2,1]=>{{1,5},{2,4},{3}}=>{{1,4},{2,5},{3}}=>{{1,5},{2,4},{3}}
[4,5,2,1,3]=>[5,4,3,2,1]=>{{1,5},{2,4},{3}}=>{{1,4},{2,5},{3}}=>{{1,5},{2,4},{3}}
[4,5,2,3,1]=>[5,4,3,2,1]=>{{1,5},{2,4},{3}}=>{{1,4},{2,5},{3}}=>{{1,5},{2,4},{3}}
[4,5,3,1,2]=>[5,4,3,2,1]=>{{1,5},{2,4},{3}}=>{{1,4},{2,5},{3}}=>{{1,5},{2,4},{3}}
[4,5,3,2,1]=>[5,4,3,2,1]=>{{1,5},{2,4},{3}}=>{{1,4},{2,5},{3}}=>{{1,5},{2,4},{3}}
[5,1,2,3,4]=>[5,2,3,4,1]=>{{1,5},{2},{3},{4}}=>{{1,5},{2},{3},{4}}=>{{1,5},{2},{3},{4}}
[5,1,2,4,3]=>[5,2,3,4,1]=>{{1,5},{2},{3},{4}}=>{{1,5},{2},{3},{4}}=>{{1,5},{2},{3},{4}}
[5,1,3,2,4]=>[5,2,4,3,1]=>{{1,5},{2},{3,4}}=>{{1,4},{2},{3,5}}=>{{1,5},{2},{3,4}}
[5,1,3,4,2]=>[5,2,4,3,1]=>{{1,5},{2},{3,4}}=>{{1,4},{2},{3,5}}=>{{1,5},{2},{3,4}}
[5,1,4,2,3]=>[5,2,4,3,1]=>{{1,5},{2},{3,4}}=>{{1,4},{2},{3,5}}=>{{1,5},{2},{3,4}}
[5,1,4,3,2]=>[5,2,4,3,1]=>{{1,5},{2},{3,4}}=>{{1,4},{2},{3,5}}=>{{1,5},{2},{3,4}}
[5,2,1,3,4]=>[5,3,2,4,1]=>{{1,5},{2,3},{4}}=>{{1,3},{2,5},{4}}=>{{1,5},{2,3},{4}}
[5,2,1,4,3]=>[5,3,2,4,1]=>{{1,5},{2,3},{4}}=>{{1,3},{2,5},{4}}=>{{1,5},{2,3},{4}}
[5,2,3,1,4]=>[5,4,3,2,1]=>{{1,5},{2,4},{3}}=>{{1,4},{2,5},{3}}=>{{1,5},{2,4},{3}}
[5,2,3,4,1]=>[5,4,3,2,1]=>{{1,5},{2,4},{3}}=>{{1,4},{2,5},{3}}=>{{1,5},{2,4},{3}}
[5,2,4,1,3]=>[5,4,3,2,1]=>{{1,5},{2,4},{3}}=>{{1,4},{2,5},{3}}=>{{1,5},{2,4},{3}}
[5,2,4,3,1]=>[5,4,3,2,1]=>{{1,5},{2,4},{3}}=>{{1,4},{2,5},{3}}=>{{1,5},{2,4},{3}}
[5,3,1,2,4]=>[5,4,3,2,1]=>{{1,5},{2,4},{3}}=>{{1,4},{2,5},{3}}=>{{1,5},{2,4},{3}}
[5,3,1,4,2]=>[5,4,3,2,1]=>{{1,5},{2,4},{3}}=>{{1,4},{2,5},{3}}=>{{1,5},{2,4},{3}}
[5,3,2,1,4]=>[5,4,3,2,1]=>{{1,5},{2,4},{3}}=>{{1,4},{2,5},{3}}=>{{1,5},{2,4},{3}}
[5,3,2,4,1]=>[5,4,3,2,1]=>{{1,5},{2,4},{3}}=>{{1,4},{2,5},{3}}=>{{1,5},{2,4},{3}}
[5,3,4,1,2]=>[5,4,3,2,1]=>{{1,5},{2,4},{3}}=>{{1,4},{2,5},{3}}=>{{1,5},{2,4},{3}}
[5,3,4,2,1]=>[5,4,3,2,1]=>{{1,5},{2,4},{3}}=>{{1,4},{2,5},{3}}=>{{1,5},{2,4},{3}}
[5,4,1,2,3]=>[5,4,3,2,1]=>{{1,5},{2,4},{3}}=>{{1,4},{2,5},{3}}=>{{1,5},{2,4},{3}}
[5,4,1,3,2]=>[5,4,3,2,1]=>{{1,5},{2,4},{3}}=>{{1,4},{2,5},{3}}=>{{1,5},{2,4},{3}}
[5,4,2,1,3]=>[5,4,3,2,1]=>{{1,5},{2,4},{3}}=>{{1,4},{2,5},{3}}=>{{1,5},{2,4},{3}}
[5,4,2,3,1]=>[5,4,3,2,1]=>{{1,5},{2,4},{3}}=>{{1,4},{2,5},{3}}=>{{1,5},{2,4},{3}}
[5,4,3,1,2]=>[5,4,3,2,1]=>{{1,5},{2,4},{3}}=>{{1,4},{2,5},{3}}=>{{1,5},{2,4},{3}}
[5,4,3,2,1]=>[5,4,3,2,1]=>{{1,5},{2,4},{3}}=>{{1,4},{2,5},{3}}=>{{1,5},{2,4},{3}}
[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>{{1},{2},{3},{4},{5,6}}=>{{1},{2},{3},{4},{5,6}}=>{{1},{2},{3},{4},{5,6}}
[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}}=>{{1},{2},{3},{4,5},{6}}=>{{1},{2},{3},{4,5},{6}}
[1,2,3,5,6,4]=>[1,2,3,6,5,4]=>{{1},{2},{3},{4,6},{5}}=>{{1},{2},{3},{4,6},{5}}=>{{1},{2},{3},{4,6},{5}}
[1,2,3,6,4,5]=>[1,2,3,6,5,4]=>{{1},{2},{3},{4,6},{5}}=>{{1},{2},{3},{4,6},{5}}=>{{1},{2},{3},{4,6},{5}}
[1,2,3,6,5,4]=>[1,2,3,6,5,4]=>{{1},{2},{3},{4,6},{5}}=>{{1},{2},{3},{4,6},{5}}=>{{1},{2},{3},{4,6},{5}}
[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}}
[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>{{1},{2},{3,4},{5,6}}=>{{1},{2},{3,4},{5,6}}=>{{1},{2},{3,4},{5,6}}
[1,2,4,5,3,6]=>[1,2,5,4,3,6]=>{{1},{2},{3,5},{4},{6}}=>{{1},{2},{3,5},{4},{6}}=>{{1},{2},{3,5},{4},{6}}
[1,2,4,5,6,3]=>[1,2,6,4,5,3]=>{{1},{2},{3,6},{4},{5}}=>{{1},{2},{3,6},{4},{5}}=>{{1},{2},{3,6},{4},{5}}
[1,2,4,6,3,5]=>[1,2,5,6,3,4]=>{{1},{2},{3,5},{4,6}}=>{{1},{2},{3,6},{4,5}}=>{{1},{2},{3,5},{4,6}}
[1,2,4,6,5,3]=>[1,2,6,5,4,3]=>{{1},{2},{3,6},{4,5}}=>{{1},{2},{3,5},{4,6}}=>{{1},{2},{3,6},{4,5}}
[1,2,5,3,4,6]=>[1,2,5,4,3,6]=>{{1},{2},{3,5},{4},{6}}=>{{1},{2},{3,5},{4},{6}}=>{{1},{2},{3,5},{4},{6}}
[1,2,5,3,6,4]=>[1,2,6,4,5,3]=>{{1},{2},{3,6},{4},{5}}=>{{1},{2},{3,6},{4},{5}}=>{{1},{2},{3,6},{4},{5}}
[1,2,5,4,3,6]=>[1,2,5,4,3,6]=>{{1},{2},{3,5},{4},{6}}=>{{1},{2},{3,5},{4},{6}}=>{{1},{2},{3,5},{4},{6}}
[1,2,5,4,6,3]=>[1,2,6,4,5,3]=>{{1},{2},{3,6},{4},{5}}=>{{1},{2},{3,6},{4},{5}}=>{{1},{2},{3,6},{4},{5}}
[1,2,5,6,3,4]=>[1,2,6,5,4,3]=>{{1},{2},{3,6},{4,5}}=>{{1},{2},{3,5},{4,6}}=>{{1},{2},{3,6},{4,5}}
[1,2,5,6,4,3]=>[1,2,6,5,4,3]=>{{1},{2},{3,6},{4,5}}=>{{1},{2},{3,5},{4,6}}=>{{1},{2},{3,6},{4,5}}
[1,2,6,3,4,5]=>[1,2,6,4,5,3]=>{{1},{2},{3,6},{4},{5}}=>{{1},{2},{3,6},{4},{5}}=>{{1},{2},{3,6},{4},{5}}
[1,2,6,3,5,4]=>[1,2,6,4,5,3]=>{{1},{2},{3,6},{4},{5}}=>{{1},{2},{3,6},{4},{5}}=>{{1},{2},{3,6},{4},{5}}
[1,2,6,4,3,5]=>[1,2,6,5,4,3]=>{{1},{2},{3,6},{4,5}}=>{{1},{2},{3,5},{4,6}}=>{{1},{2},{3,6},{4,5}}
[1,2,6,4,5,3]=>[1,2,6,5,4,3]=>{{1},{2},{3,6},{4,5}}=>{{1},{2},{3,5},{4,6}}=>{{1},{2},{3,6},{4,5}}
[1,2,6,5,3,4]=>[1,2,6,5,4,3]=>{{1},{2},{3,6},{4,5}}=>{{1},{2},{3,5},{4,6}}=>{{1},{2},{3,6},{4,5}}
[1,2,6,5,4,3]=>[1,2,6,5,4,3]=>{{1},{2},{3,6},{4,5}}=>{{1},{2},{3,5},{4,6}}=>{{1},{2},{3,6},{4,5}}
[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}}=>{{1},{2,3},{4},{5},{6}}=>{{1},{2,3},{4},{5},{6}}
[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>{{1},{2,3},{4},{5,6}}=>{{1},{2,3},{4},{5,6}}=>{{1},{2,3},{4},{5,6}}
[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>{{1},{2,3},{4,5},{6}}=>{{1},{2,3},{4,5},{6}}=>{{1},{2,3},{4,5},{6}}
[1,3,2,5,6,4]=>[1,3,2,6,5,4]=>{{1},{2,3},{4,6},{5}}=>{{1},{2,3},{4,6},{5}}=>{{1},{2,3},{4,6},{5}}
[1,3,2,6,4,5]=>[1,3,2,6,5,4]=>{{1},{2,3},{4,6},{5}}=>{{1},{2,3},{4,6},{5}}=>{{1},{2,3},{4,6},{5}}
[1,3,2,6,5,4]=>[1,3,2,6,5,4]=>{{1},{2,3},{4,6},{5}}=>{{1},{2,3},{4,6},{5}}=>{{1},{2,3},{4,6},{5}}
[1,3,4,2,5,6]=>[1,4,3,2,5,6]=>{{1},{2,4},{3},{5},{6}}=>{{1},{2,4},{3},{5},{6}}=>{{1},{2,4},{3},{5},{6}}
[1,3,4,2,6,5]=>[1,4,3,2,6,5]=>{{1},{2,4},{3},{5,6}}=>{{1},{2,4},{3},{5,6}}=>{{1},{2,4},{3},{5,6}}
[1,3,4,5,2,6]=>[1,5,3,4,2,6]=>{{1},{2,5},{3},{4},{6}}=>{{1},{2,5},{3},{4},{6}}=>{{1},{2,5},{3},{4},{6}}
[1,3,4,5,6,2]=>[1,6,3,4,5,2]=>{{1},{2,6},{3},{4},{5}}=>{{1},{2,6},{3},{4},{5}}=>{{1},{2,6},{3},{4},{5}}
[1,3,4,6,2,5]=>[1,5,3,6,2,4]=>{{1},{2,5},{3},{4,6}}=>{{1},{2,6},{3},{4,5}}=>{{1},{2,5},{3},{4,6}}
[1,3,4,6,5,2]=>[1,6,3,5,4,2]=>{{1},{2,6},{3},{4,5}}=>{{1},{2,5},{3},{4,6}}=>{{1},{2,6},{3},{4,5}}
[1,3,5,2,4,6]=>[1,4,5,2,3,6]=>{{1},{2,4},{3,5},{6}}=>{{1},{2,5},{3,4},{6}}=>{{1},{2,4},{3,5},{6}}
[1,3,5,2,6,4]=>[1,4,6,2,5,3]=>{{1},{2,4},{3,6},{5}}=>{{1},{2,6},{3,4},{5}}=>{{1},{2,4},{3,6},{5}}
[1,3,5,4,2,6]=>[1,5,4,3,2,6]=>{{1},{2,5},{3,4},{6}}=>{{1},{2,4},{3,5},{6}}=>{{1},{2,5},{3,4},{6}}
[1,3,5,4,6,2]=>[1,6,4,3,5,2]=>{{1},{2,6},{3,4},{5}}=>{{1},{2,4},{3,6},{5}}=>{{1},{2,6},{3,4},{5}}
[1,3,5,6,2,4]=>[1,5,6,4,2,3]=>{{1},{2,5},{3,6},{4}}=>{{1},{2,6},{3,5},{4}}=>{{1},{2,5},{3,6},{4}}
[1,3,5,6,4,2]=>[1,6,5,4,3,2]=>{{1},{2,6},{3,5},{4}}=>{{1},{2,5},{3,6},{4}}=>{{1},{2,6},{3,5},{4}}
[1,3,6,2,4,5]=>[1,4,6,2,5,3]=>{{1},{2,4},{3,6},{5}}=>{{1},{2,6},{3,4},{5}}=>{{1},{2,4},{3,6},{5}}
[1,3,6,2,5,4]=>[1,4,6,2,5,3]=>{{1},{2,4},{3,6},{5}}=>{{1},{2,6},{3,4},{5}}=>{{1},{2,4},{3,6},{5}}
[1,3,6,4,2,5]=>[1,5,6,4,2,3]=>{{1},{2,5},{3,6},{4}}=>{{1},{2,6},{3,5},{4}}=>{{1},{2,5},{3,6},{4}}
[1,3,6,4,5,2]=>[1,6,5,4,3,2]=>{{1},{2,6},{3,5},{4}}=>{{1},{2,5},{3,6},{4}}=>{{1},{2,6},{3,5},{4}}
[1,3,6,5,2,4]=>[1,5,6,4,2,3]=>{{1},{2,5},{3,6},{4}}=>{{1},{2,6},{3,5},{4}}=>{{1},{2,5},{3,6},{4}}
[1,3,6,5,4,2]=>[1,6,5,4,3,2]=>{{1},{2,6},{3,5},{4}}=>{{1},{2,5},{3,6},{4}}=>{{1},{2,6},{3,5},{4}}
[1,4,2,3,5,6]=>[1,4,3,2,5,6]=>{{1},{2,4},{3},{5},{6}}=>{{1},{2,4},{3},{5},{6}}=>{{1},{2,4},{3},{5},{6}}
[1,4,2,3,6,5]=>[1,4,3,2,6,5]=>{{1},{2,4},{3},{5,6}}=>{{1},{2,4},{3},{5,6}}=>{{1},{2,4},{3},{5,6}}
[1,4,2,5,3,6]=>[1,5,3,4,2,6]=>{{1},{2,5},{3},{4},{6}}=>{{1},{2,5},{3},{4},{6}}=>{{1},{2,5},{3},{4},{6}}
[1,4,2,5,6,3]=>[1,6,3,4,5,2]=>{{1},{2,6},{3},{4},{5}}=>{{1},{2,6},{3},{4},{5}}=>{{1},{2,6},{3},{4},{5}}
[1,4,2,6,3,5]=>[1,5,3,6,2,4]=>{{1},{2,5},{3},{4,6}}=>{{1},{2,6},{3},{4,5}}=>{{1},{2,5},{3},{4,6}}
[1,4,2,6,5,3]=>[1,6,3,5,4,2]=>{{1},{2,6},{3},{4,5}}=>{{1},{2,5},{3},{4,6}}=>{{1},{2,6},{3},{4,5}}
[1,4,3,2,5,6]=>[1,4,3,2,5,6]=>{{1},{2,4},{3},{5},{6}}=>{{1},{2,4},{3},{5},{6}}=>{{1},{2,4},{3},{5},{6}}
[1,4,3,2,6,5]=>[1,4,3,2,6,5]=>{{1},{2,4},{3},{5,6}}=>{{1},{2,4},{3},{5,6}}=>{{1},{2,4},{3},{5,6}}
[1,4,3,5,2,6]=>[1,5,3,4,2,6]=>{{1},{2,5},{3},{4},{6}}=>{{1},{2,5},{3},{4},{6}}=>{{1},{2,5},{3},{4},{6}}
[1,4,3,5,6,2]=>[1,6,3,4,5,2]=>{{1},{2,6},{3},{4},{5}}=>{{1},{2,6},{3},{4},{5}}=>{{1},{2,6},{3},{4},{5}}
[1,4,3,6,2,5]=>[1,5,3,6,2,4]=>{{1},{2,5},{3},{4,6}}=>{{1},{2,6},{3},{4,5}}=>{{1},{2,5},{3},{4,6}}
[1,4,3,6,5,2]=>[1,6,3,5,4,2]=>{{1},{2,6},{3},{4,5}}=>{{1},{2,5},{3},{4,6}}=>{{1},{2,6},{3},{4,5}}
[1,4,5,2,3,6]=>[1,5,4,3,2,6]=>{{1},{2,5},{3,4},{6}}=>{{1},{2,4},{3,5},{6}}=>{{1},{2,5},{3,4},{6}}
[1,4,5,2,6,3]=>[1,6,4,3,5,2]=>{{1},{2,6},{3,4},{5}}=>{{1},{2,4},{3,6},{5}}=>{{1},{2,6},{3,4},{5}}
[1,4,5,3,2,6]=>[1,5,4,3,2,6]=>{{1},{2,5},{3,4},{6}}=>{{1},{2,4},{3,5},{6}}=>{{1},{2,5},{3,4},{6}}
[1,4,5,3,6,2]=>[1,6,4,3,5,2]=>{{1},{2,6},{3,4},{5}}=>{{1},{2,4},{3,6},{5}}=>{{1},{2,6},{3,4},{5}}
[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>{{1},{2,6},{3,5},{4}}=>{{1},{2,5},{3,6},{4}}=>{{1},{2,6},{3,5},{4}}
[1,4,5,6,3,2]=>[1,6,5,4,3,2]=>{{1},{2,6},{3,5},{4}}=>{{1},{2,5},{3,6},{4}}=>{{1},{2,6},{3,5},{4}}
[1,4,6,2,3,5]=>[1,5,6,4,2,3]=>{{1},{2,5},{3,6},{4}}=>{{1},{2,6},{3,5},{4}}=>{{1},{2,5},{3,6},{4}}
[1,4,6,2,5,3]=>[1,6,5,4,3,2]=>{{1},{2,6},{3,5},{4}}=>{{1},{2,5},{3,6},{4}}=>{{1},{2,6},{3,5},{4}}
[1,4,6,3,2,5]=>[1,5,6,4,2,3]=>{{1},{2,5},{3,6},{4}}=>{{1},{2,6},{3,5},{4}}=>{{1},{2,5},{3,6},{4}}
[1,4,6,3,5,2]=>[1,6,5,4,3,2]=>{{1},{2,6},{3,5},{4}}=>{{1},{2,5},{3,6},{4}}=>{{1},{2,6},{3,5},{4}}
[1,4,6,5,2,3]=>[1,6,5,4,3,2]=>{{1},{2,6},{3,5},{4}}=>{{1},{2,5},{3,6},{4}}=>{{1},{2,6},{3,5},{4}}
[1,4,6,5,3,2]=>[1,6,5,4,3,2]=>{{1},{2,6},{3,5},{4}}=>{{1},{2,5},{3,6},{4}}=>{{1},{2,6},{3,5},{4}}
[1,5,2,3,4,6]=>[1,5,3,4,2,6]=>{{1},{2,5},{3},{4},{6}}=>{{1},{2,5},{3},{4},{6}}=>{{1},{2,5},{3},{4},{6}}
[1,5,2,3,6,4]=>[1,6,3,4,5,2]=>{{1},{2,6},{3},{4},{5}}=>{{1},{2,6},{3},{4},{5}}=>{{1},{2,6},{3},{4},{5}}
[1,5,2,4,3,6]=>[1,5,3,4,2,6]=>{{1},{2,5},{3},{4},{6}}=>{{1},{2,5},{3},{4},{6}}=>{{1},{2,5},{3},{4},{6}}
[1,5,2,4,6,3]=>[1,6,3,4,5,2]=>{{1},{2,6},{3},{4},{5}}=>{{1},{2,6},{3},{4},{5}}=>{{1},{2,6},{3},{4},{5}}
[1,5,2,6,3,4]=>[1,6,3,5,4,2]=>{{1},{2,6},{3},{4,5}}=>{{1},{2,5},{3},{4,6}}=>{{1},{2,6},{3},{4,5}}
[1,5,2,6,4,3]=>[1,6,3,5,4,2]=>{{1},{2,6},{3},{4,5}}=>{{1},{2,5},{3},{4,6}}=>{{1},{2,6},{3},{4,5}}
[1,5,3,2,4,6]=>[1,5,4,3,2,6]=>{{1},{2,5},{3,4},{6}}=>{{1},{2,4},{3,5},{6}}=>{{1},{2,5},{3,4},{6}}
[1,5,3,2,6,4]=>[1,6,4,3,5,2]=>{{1},{2,6},{3,4},{5}}=>{{1},{2,4},{3,6},{5}}=>{{1},{2,6},{3,4},{5}}
[1,5,3,4,2,6]=>[1,5,4,3,2,6]=>{{1},{2,5},{3,4},{6}}=>{{1},{2,4},{3,5},{6}}=>{{1},{2,5},{3,4},{6}}
[1,5,3,4,6,2]=>[1,6,4,3,5,2]=>{{1},{2,6},{3,4},{5}}=>{{1},{2,4},{3,6},{5}}=>{{1},{2,6},{3,4},{5}}
[1,5,3,6,2,4]=>[1,6,5,4,3,2]=>{{1},{2,6},{3,5},{4}}=>{{1},{2,5},{3,6},{4}}=>{{1},{2,6},{3,5},{4}}
[1,5,3,6,4,2]=>[1,6,5,4,3,2]=>{{1},{2,6},{3,5},{4}}=>{{1},{2,5},{3,6},{4}}=>{{1},{2,6},{3,5},{4}}
[1,5,4,2,3,6]=>[1,5,4,3,2,6]=>{{1},{2,5},{3,4},{6}}=>{{1},{2,4},{3,5},{6}}=>{{1},{2,5},{3,4},{6}}
[1,5,4,2,6,3]=>[1,6,4,3,5,2]=>{{1},{2,6},{3,4},{5}}=>{{1},{2,4},{3,6},{5}}=>{{1},{2,6},{3,4},{5}}
[1,5,4,3,2,6]=>[1,5,4,3,2,6]=>{{1},{2,5},{3,4},{6}}=>{{1},{2,4},{3,5},{6}}=>{{1},{2,5},{3,4},{6}}
[1,5,4,3,6,2]=>[1,6,4,3,5,2]=>{{1},{2,6},{3,4},{5}}=>{{1},{2,4},{3,6},{5}}=>{{1},{2,6},{3,4},{5}}
[1,5,4,6,2,3]=>[1,6,5,4,3,2]=>{{1},{2,6},{3,5},{4}}=>{{1},{2,5},{3,6},{4}}=>{{1},{2,6},{3,5},{4}}
[1,5,4,6,3,2]=>[1,6,5,4,3,2]=>{{1},{2,6},{3,5},{4}}=>{{1},{2,5},{3,6},{4}}=>{{1},{2,6},{3,5},{4}}
[1,5,6,2,3,4]=>[1,6,5,4,3,2]=>{{1},{2,6},{3,5},{4}}=>{{1},{2,5},{3,6},{4}}=>{{1},{2,6},{3,5},{4}}
[1,5,6,2,4,3]=>[1,6,5,4,3,2]=>{{1},{2,6},{3,5},{4}}=>{{1},{2,5},{3,6},{4}}=>{{1},{2,6},{3,5},{4}}
[1,5,6,3,2,4]=>[1,6,5,4,3,2]=>{{1},{2,6},{3,5},{4}}=>{{1},{2,5},{3,6},{4}}=>{{1},{2,6},{3,5},{4}}
[1,5,6,3,4,2]=>[1,6,5,4,3,2]=>{{1},{2,6},{3,5},{4}}=>{{1},{2,5},{3,6},{4}}=>{{1},{2,6},{3,5},{4}}
[1,5,6,4,2,3]=>[1,6,5,4,3,2]=>{{1},{2,6},{3,5},{4}}=>{{1},{2,5},{3,6},{4}}=>{{1},{2,6},{3,5},{4}}
[1,5,6,4,3,2]=>[1,6,5,4,3,2]=>{{1},{2,6},{3,5},{4}}=>{{1},{2,5},{3,6},{4}}=>{{1},{2,6},{3,5},{4}}
[1,6,2,3,4,5]=>[1,6,3,4,5,2]=>{{1},{2,6},{3},{4},{5}}=>{{1},{2,6},{3},{4},{5}}=>{{1},{2,6},{3},{4},{5}}
[1,6,2,3,5,4]=>[1,6,3,4,5,2]=>{{1},{2,6},{3},{4},{5}}=>{{1},{2,6},{3},{4},{5}}=>{{1},{2,6},{3},{4},{5}}
[1,6,2,4,3,5]=>[1,6,3,5,4,2]=>{{1},{2,6},{3},{4,5}}=>{{1},{2,5},{3},{4,6}}=>{{1},{2,6},{3},{4,5}}
[1,6,2,4,5,3]=>[1,6,3,5,4,2]=>{{1},{2,6},{3},{4,5}}=>{{1},{2,5},{3},{4,6}}=>{{1},{2,6},{3},{4,5}}
[1,6,2,5,3,4]=>[1,6,3,5,4,2]=>{{1},{2,6},{3},{4,5}}=>{{1},{2,5},{3},{4,6}}=>{{1},{2,6},{3},{4,5}}
[1,6,2,5,4,3]=>[1,6,3,5,4,2]=>{{1},{2,6},{3},{4,5}}=>{{1},{2,5},{3},{4,6}}=>{{1},{2,6},{3},{4,5}}
[1,6,3,2,4,5]=>[1,6,4,3,5,2]=>{{1},{2,6},{3,4},{5}}=>{{1},{2,4},{3,6},{5}}=>{{1},{2,6},{3,4},{5}}
[1,6,3,2,5,4]=>[1,6,4,3,5,2]=>{{1},{2,6},{3,4},{5}}=>{{1},{2,4},{3,6},{5}}=>{{1},{2,6},{3,4},{5}}
[1,6,3,4,2,5]=>[1,6,5,4,3,2]=>{{1},{2,6},{3,5},{4}}=>{{1},{2,5},{3,6},{4}}=>{{1},{2,6},{3,5},{4}}
[1,6,3,4,5,2]=>[1,6,5,4,3,2]=>{{1},{2,6},{3,5},{4}}=>{{1},{2,5},{3,6},{4}}=>{{1},{2,6},{3,5},{4}}
[1,6,3,5,2,4]=>[1,6,5,4,3,2]=>{{1},{2,6},{3,5},{4}}=>{{1},{2,5},{3,6},{4}}=>{{1},{2,6},{3,5},{4}}
[1,6,3,5,4,2]=>[1,6,5,4,3,2]=>{{1},{2,6},{3,5},{4}}=>{{1},{2,5},{3,6},{4}}=>{{1},{2,6},{3,5},{4}}
[1,6,4,2,3,5]=>[1,6,5,4,3,2]=>{{1},{2,6},{3,5},{4}}=>{{1},{2,5},{3,6},{4}}=>{{1},{2,6},{3,5},{4}}
[1,6,4,2,5,3]=>[1,6,5,4,3,2]=>{{1},{2,6},{3,5},{4}}=>{{1},{2,5},{3,6},{4}}=>{{1},{2,6},{3,5},{4}}
[1,6,4,3,2,5]=>[1,6,5,4,3,2]=>{{1},{2,6},{3,5},{4}}=>{{1},{2,5},{3,6},{4}}=>{{1},{2,6},{3,5},{4}}
[1,6,4,3,5,2]=>[1,6,5,4,3,2]=>{{1},{2,6},{3,5},{4}}=>{{1},{2,5},{3,6},{4}}=>{{1},{2,6},{3,5},{4}}
[1,6,4,5,2,3]=>[1,6,5,4,3,2]=>{{1},{2,6},{3,5},{4}}=>{{1},{2,5},{3,6},{4}}=>{{1},{2,6},{3,5},{4}}
[1,6,4,5,3,2]=>[1,6,5,4,3,2]=>{{1},{2,6},{3,5},{4}}=>{{1},{2,5},{3,6},{4}}=>{{1},{2,6},{3,5},{4}}
[1,6,5,2,3,4]=>[1,6,5,4,3,2]=>{{1},{2,6},{3,5},{4}}=>{{1},{2,5},{3,6},{4}}=>{{1},{2,6},{3,5},{4}}
[1,6,5,2,4,3]=>[1,6,5,4,3,2]=>{{1},{2,6},{3,5},{4}}=>{{1},{2,5},{3,6},{4}}=>{{1},{2,6},{3,5},{4}}
[1,6,5,3,2,4]=>[1,6,5,4,3,2]=>{{1},{2,6},{3,5},{4}}=>{{1},{2,5},{3,6},{4}}=>{{1},{2,6},{3,5},{4}}
[1,6,5,3,4,2]=>[1,6,5,4,3,2]=>{{1},{2,6},{3,5},{4}}=>{{1},{2,5},{3,6},{4}}=>{{1},{2,6},{3,5},{4}}
[1,6,5,4,2,3]=>[1,6,5,4,3,2]=>{{1},{2,6},{3,5},{4}}=>{{1},{2,5},{3,6},{4}}=>{{1},{2,6},{3,5},{4}}
[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>{{1},{2,6},{3,5},{4}}=>{{1},{2,5},{3,6},{4}}=>{{1},{2,6},{3,5},{4}}
[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6}}
[2,1,3,4,6,5]=>[2,1,3,4,6,5]=>{{1,2},{3},{4},{5,6}}=>{{1,2},{3},{4},{5,6}}=>{{1,2},{3},{4},{5,6}}
[2,1,3,5,4,6]=>[2,1,3,5,4,6]=>{{1,2},{3},{4,5},{6}}=>{{1,2},{3},{4,5},{6}}=>{{1,2},{3},{4,5},{6}}
[2,1,3,5,6,4]=>[2,1,3,6,5,4]=>{{1,2},{3},{4,6},{5}}=>{{1,2},{3},{4,6},{5}}=>{{1,2},{3},{4,6},{5}}
[2,1,3,6,4,5]=>[2,1,3,6,5,4]=>{{1,2},{3},{4,6},{5}}=>{{1,2},{3},{4,6},{5}}=>{{1,2},{3},{4,6},{5}}
[2,1,3,6,5,4]=>[2,1,3,6,5,4]=>{{1,2},{3},{4,6},{5}}=>{{1,2},{3},{4,6},{5}}=>{{1,2},{3},{4,6},{5}}
[2,1,4,3,5,6]=>[2,1,4,3,5,6]=>{{1,2},{3,4},{5},{6}}=>{{1,2},{3,4},{5},{6}}=>{{1,2},{3,4},{5},{6}}
[2,1,4,3,6,5]=>[2,1,4,3,6,5]=>{{1,2},{3,4},{5,6}}=>{{1,2},{3,4},{5,6}}=>{{1,2},{3,4},{5,6}}
[2,1,4,5,3,6]=>[2,1,5,4,3,6]=>{{1,2},{3,5},{4},{6}}=>{{1,2},{3,5},{4},{6}}=>{{1,2},{3,5},{4},{6}}
[2,1,4,5,6,3]=>[2,1,6,4,5,3]=>{{1,2},{3,6},{4},{5}}=>{{1,2},{3,6},{4},{5}}=>{{1,2},{3,6},{4},{5}}
[2,1,4,6,3,5]=>[2,1,5,6,3,4]=>{{1,2},{3,5},{4,6}}=>{{1,2},{3,6},{4,5}}=>{{1,2},{3,5},{4,6}}
[2,1,4,6,5,3]=>[2,1,6,5,4,3]=>{{1,2},{3,6},{4,5}}=>{{1,2},{3,5},{4,6}}=>{{1,2},{3,6},{4,5}}
[2,1,5,3,4,6]=>[2,1,5,4,3,6]=>{{1,2},{3,5},{4},{6}}=>{{1,2},{3,5},{4},{6}}=>{{1,2},{3,5},{4},{6}}
[2,1,5,3,6,4]=>[2,1,6,4,5,3]=>{{1,2},{3,6},{4},{5}}=>{{1,2},{3,6},{4},{5}}=>{{1,2},{3,6},{4},{5}}
[2,1,5,4,3,6]=>[2,1,5,4,3,6]=>{{1,2},{3,5},{4},{6}}=>{{1,2},{3,5},{4},{6}}=>{{1,2},{3,5},{4},{6}}
[2,1,5,4,6,3]=>[2,1,6,4,5,3]=>{{1,2},{3,6},{4},{5}}=>{{1,2},{3,6},{4},{5}}=>{{1,2},{3,6},{4},{5}}
[2,1,5,6,3,4]=>[2,1,6,5,4,3]=>{{1,2},{3,6},{4,5}}=>{{1,2},{3,5},{4,6}}=>{{1,2},{3,6},{4,5}}
[2,1,5,6,4,3]=>[2,1,6,5,4,3]=>{{1,2},{3,6},{4,5}}=>{{1,2},{3,5},{4,6}}=>{{1,2},{3,6},{4,5}}
[2,1,6,3,4,5]=>[2,1,6,4,5,3]=>{{1,2},{3,6},{4},{5}}=>{{1,2},{3,6},{4},{5}}=>{{1,2},{3,6},{4},{5}}
[2,1,6,3,5,4]=>[2,1,6,4,5,3]=>{{1,2},{3,6},{4},{5}}=>{{1,2},{3,6},{4},{5}}=>{{1,2},{3,6},{4},{5}}
[2,1,6,4,3,5]=>[2,1,6,5,4,3]=>{{1,2},{3,6},{4,5}}=>{{1,2},{3,5},{4,6}}=>{{1,2},{3,6},{4,5}}
[2,1,6,4,5,3]=>[2,1,6,5,4,3]=>{{1,2},{3,6},{4,5}}=>{{1,2},{3,5},{4,6}}=>{{1,2},{3,6},{4,5}}
[2,1,6,5,3,4]=>[2,1,6,5,4,3]=>{{1,2},{3,6},{4,5}}=>{{1,2},{3,5},{4,6}}=>{{1,2},{3,6},{4,5}}
[2,1,6,5,4,3]=>[2,1,6,5,4,3]=>{{1,2},{3,6},{4,5}}=>{{1,2},{3,5},{4,6}}=>{{1,2},{3,6},{4,5}}
[2,3,1,4,5,6]=>[3,2,1,4,5,6]=>{{1,3},{2},{4},{5},{6}}=>{{1,3},{2},{4},{5},{6}}=>{{1,3},{2},{4},{5},{6}}
[2,3,1,4,6,5]=>[3,2,1,4,6,5]=>{{1,3},{2},{4},{5,6}}=>{{1,3},{2},{4},{5,6}}=>{{1,3},{2},{4},{5,6}}
[2,3,1,5,4,6]=>[3,2,1,5,4,6]=>{{1,3},{2},{4,5},{6}}=>{{1,3},{2},{4,5},{6}}=>{{1,3},{2},{4,5},{6}}
[2,3,1,5,6,4]=>[3,2,1,6,5,4]=>{{1,3},{2},{4,6},{5}}=>{{1,3},{2},{4,6},{5}}=>{{1,3},{2},{4,6},{5}}
[2,3,1,6,4,5]=>[3,2,1,6,5,4]=>{{1,3},{2},{4,6},{5}}=>{{1,3},{2},{4,6},{5}}=>{{1,3},{2},{4,6},{5}}
[2,3,1,6,5,4]=>[3,2,1,6,5,4]=>{{1,3},{2},{4,6},{5}}=>{{1,3},{2},{4,6},{5}}=>{{1,3},{2},{4,6},{5}}
[2,3,4,1,5,6]=>[4,2,3,1,5,6]=>{{1,4},{2},{3},{5},{6}}=>{{1,4},{2},{3},{5},{6}}=>{{1,4},{2},{3},{5},{6}}
[2,3,4,1,6,5]=>[4,2,3,1,6,5]=>{{1,4},{2},{3},{5,6}}=>{{1,4},{2},{3},{5,6}}=>{{1,4},{2},{3},{5,6}}
[2,3,4,5,1,6]=>[5,2,3,4,1,6]=>{{1,5},{2},{3},{4},{6}}=>{{1,5},{2},{3},{4},{6}}=>{{1,5},{2},{3},{4},{6}}
[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>{{1,6},{2},{3},{4},{5}}=>{{1,6},{2},{3},{4},{5}}=>{{1,6},{2},{3},{4},{5}}
[2,3,4,6,1,5]=>[5,2,3,6,1,4]=>{{1,5},{2},{3},{4,6}}=>{{1,6},{2},{3},{4,5}}=>{{1,5},{2},{3},{4,6}}
[2,3,4,6,5,1]=>[6,2,3,5,4,1]=>{{1,6},{2},{3},{4,5}}=>{{1,5},{2},{3},{4,6}}=>{{1,6},{2},{3},{4,5}}
[2,3,5,1,4,6]=>[4,2,5,1,3,6]=>{{1,4},{2},{3,5},{6}}=>{{1,5},{2},{3,4},{6}}=>{{1,4},{2},{3,5},{6}}
[2,3,5,1,6,4]=>[4,2,6,1,5,3]=>{{1,4},{2},{3,6},{5}}=>{{1,6},{2},{3,4},{5}}=>{{1,4},{2},{3,6},{5}}
[2,3,5,4,1,6]=>[5,2,4,3,1,6]=>{{1,5},{2},{3,4},{6}}=>{{1,4},{2},{3,5},{6}}=>{{1,5},{2},{3,4},{6}}
[2,3,5,4,6,1]=>[6,2,4,3,5,1]=>{{1,6},{2},{3,4},{5}}=>{{1,4},{2},{3,6},{5}}=>{{1,6},{2},{3,4},{5}}
[2,3,5,6,1,4]=>[5,2,6,4,1,3]=>{{1,5},{2},{3,6},{4}}=>{{1,6},{2},{3,5},{4}}=>{{1,5},{2},{3,6},{4}}
[2,3,5,6,4,1]=>[6,2,5,4,3,1]=>{{1,6},{2},{3,5},{4}}=>{{1,5},{2},{3,6},{4}}=>{{1,6},{2},{3,5},{4}}
[2,3,6,1,4,5]=>[4,2,6,1,5,3]=>{{1,4},{2},{3,6},{5}}=>{{1,6},{2},{3,4},{5}}=>{{1,4},{2},{3,6},{5}}
[2,3,6,1,5,4]=>[4,2,6,1,5,3]=>{{1,4},{2},{3,6},{5}}=>{{1,6},{2},{3,4},{5}}=>{{1,4},{2},{3,6},{5}}
[2,3,6,4,1,5]=>[5,2,6,4,1,3]=>{{1,5},{2},{3,6},{4}}=>{{1,6},{2},{3,5},{4}}=>{{1,5},{2},{3,6},{4}}
[2,3,6,4,5,1]=>[6,2,5,4,3,1]=>{{1,6},{2},{3,5},{4}}=>{{1,5},{2},{3,6},{4}}=>{{1,6},{2},{3,5},{4}}
[2,3,6,5,1,4]=>[5,2,6,4,1,3]=>{{1,5},{2},{3,6},{4}}=>{{1,6},{2},{3,5},{4}}=>{{1,5},{2},{3,6},{4}}
[2,3,6,5,4,1]=>[6,2,5,4,3,1]=>{{1,6},{2},{3,5},{4}}=>{{1,5},{2},{3,6},{4}}=>{{1,6},{2},{3,5},{4}}
[2,4,1,3,5,6]=>[3,4,1,2,5,6]=>{{1,3},{2,4},{5},{6}}=>{{1,4},{2,3},{5},{6}}=>{{1,3},{2,4},{5},{6}}
[2,4,1,3,6,5]=>[3,4,1,2,6,5]=>{{1,3},{2,4},{5,6}}=>{{1,4},{2,3},{5,6}}=>{{1,3},{2,4},{5,6}}
[2,4,1,5,3,6]=>[3,5,1,4,2,6]=>{{1,3},{2,5},{4},{6}}=>{{1,5},{2,3},{4},{6}}=>{{1,3},{2,5},{4},{6}}
[2,4,1,5,6,3]=>[3,6,1,4,5,2]=>{{1,3},{2,6},{4},{5}}=>{{1,6},{2,3},{4},{5}}=>{{1,3},{2,6},{4},{5}}
[2,4,1,6,3,5]=>[3,5,1,6,2,4]=>{{1,3},{2,5},{4,6}}=>{{1,6},{2,3},{4,5}}=>{{1,3},{2,5},{4,6}}
[2,4,1,6,5,3]=>[3,6,1,5,4,2]=>{{1,3},{2,6},{4,5}}=>{{1,5},{2,3},{4,6}}=>{{1,3},{2,6},{4,5}}
[2,4,3,1,5,6]=>[4,3,2,1,5,6]=>{{1,4},{2,3},{5},{6}}=>{{1,3},{2,4},{5},{6}}=>{{1,4},{2,3},{5},{6}}
[2,4,3,1,6,5]=>[4,3,2,1,6,5]=>{{1,4},{2,3},{5,6}}=>{{1,3},{2,4},{5,6}}=>{{1,4},{2,3},{5,6}}
[2,4,3,5,1,6]=>[5,3,2,4,1,6]=>{{1,5},{2,3},{4},{6}}=>{{1,3},{2,5},{4},{6}}=>{{1,5},{2,3},{4},{6}}
[2,4,3,5,6,1]=>[6,3,2,4,5,1]=>{{1,6},{2,3},{4},{5}}=>{{1,3},{2,6},{4},{5}}=>{{1,6},{2,3},{4},{5}}
[2,4,3,6,1,5]=>[5,3,2,6,1,4]=>{{1,5},{2,3},{4,6}}=>{{1,3},{2,6},{4,5}}=>{{1,5},{2,3},{4,6}}
[2,4,3,6,5,1]=>[6,3,2,5,4,1]=>{{1,6},{2,3},{4,5}}=>{{1,3},{2,5},{4,6}}=>{{1,6},{2,3},{4,5}}
[2,4,5,1,3,6]=>[4,5,3,1,2,6]=>{{1,4},{2,5},{3},{6}}=>{{1,5},{2,4},{3},{6}}=>{{1,4},{2,5},{3},{6}}
[2,4,5,1,6,3]=>[4,6,3,1,5,2]=>{{1,4},{2,6},{3},{5}}=>{{1,6},{2,4},{3},{5}}=>{{1,4},{2,6},{3},{5}}
[2,4,5,3,1,6]=>[5,4,3,2,1,6]=>{{1,5},{2,4},{3},{6}}=>{{1,4},{2,5},{3},{6}}=>{{1,5},{2,4},{3},{6}}
[2,4,5,3,6,1]=>[6,4,3,2,5,1]=>{{1,6},{2,4},{3},{5}}=>{{1,4},{2,6},{3},{5}}=>{{1,6},{2,4},{3},{5}}
[2,4,5,6,1,3]=>[5,6,3,4,1,2]=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}
[2,4,5,6,3,1]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[2,4,6,1,3,5]=>[4,5,6,1,2,3]=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}
[2,4,6,1,5,3]=>[4,6,5,1,3,2]=>{{1,4},{2,6},{3,5}}=>{{1,5},{2,6},{3,4}}=>{{1,4},{2,6},{3,5}}
[2,4,6,3,1,5]=>[5,4,6,2,1,3]=>{{1,5},{2,4},{3,6}}=>{{1,6},{2,4},{3,5}}=>{{1,5},{2,4},{3,6}}
[2,4,6,3,5,1]=>[6,4,5,2,3,1]=>{{1,6},{2,4},{3,5}}=>{{1,5},{2,4},{3,6}}=>{{1,6},{2,4},{3,5}}
[2,4,6,5,1,3]=>[5,6,4,3,1,2]=>{{1,5},{2,6},{3,4}}=>{{1,4},{2,6},{3,5}}=>{{1,5},{2,6},{3,4}}
[2,4,6,5,3,1]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[2,5,1,3,4,6]=>[3,5,1,4,2,6]=>{{1,3},{2,5},{4},{6}}=>{{1,5},{2,3},{4},{6}}=>{{1,3},{2,5},{4},{6}}
[2,5,1,3,6,4]=>[3,6,1,4,5,2]=>{{1,3},{2,6},{4},{5}}=>{{1,6},{2,3},{4},{5}}=>{{1,3},{2,6},{4},{5}}
[2,5,1,4,3,6]=>[3,5,1,4,2,6]=>{{1,3},{2,5},{4},{6}}=>{{1,5},{2,3},{4},{6}}=>{{1,3},{2,5},{4},{6}}
[2,5,1,4,6,3]=>[3,6,1,4,5,2]=>{{1,3},{2,6},{4},{5}}=>{{1,6},{2,3},{4},{5}}=>{{1,3},{2,6},{4},{5}}
[2,5,1,6,3,4]=>[3,6,1,5,4,2]=>{{1,3},{2,6},{4,5}}=>{{1,5},{2,3},{4,6}}=>{{1,3},{2,6},{4,5}}
[2,5,1,6,4,3]=>[3,6,1,5,4,2]=>{{1,3},{2,6},{4,5}}=>{{1,5},{2,3},{4,6}}=>{{1,3},{2,6},{4,5}}
[2,5,3,1,4,6]=>[4,5,3,1,2,6]=>{{1,4},{2,5},{3},{6}}=>{{1,5},{2,4},{3},{6}}=>{{1,4},{2,5},{3},{6}}
[2,5,3,1,6,4]=>[4,6,3,1,5,2]=>{{1,4},{2,6},{3},{5}}=>{{1,6},{2,4},{3},{5}}=>{{1,4},{2,6},{3},{5}}
[2,5,3,4,1,6]=>[5,4,3,2,1,6]=>{{1,5},{2,4},{3},{6}}=>{{1,4},{2,5},{3},{6}}=>{{1,5},{2,4},{3},{6}}
[2,5,3,4,6,1]=>[6,4,3,2,5,1]=>{{1,6},{2,4},{3},{5}}=>{{1,4},{2,6},{3},{5}}=>{{1,6},{2,4},{3},{5}}
[2,5,3,6,1,4]=>[5,6,3,4,1,2]=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}
[2,5,3,6,4,1]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[2,5,4,1,3,6]=>[4,5,3,1,2,6]=>{{1,4},{2,5},{3},{6}}=>{{1,5},{2,4},{3},{6}}=>{{1,4},{2,5},{3},{6}}
[2,5,4,1,6,3]=>[4,6,3,1,5,2]=>{{1,4},{2,6},{3},{5}}=>{{1,6},{2,4},{3},{5}}=>{{1,4},{2,6},{3},{5}}
[2,5,4,3,1,6]=>[5,4,3,2,1,6]=>{{1,5},{2,4},{3},{6}}=>{{1,4},{2,5},{3},{6}}=>{{1,5},{2,4},{3},{6}}
[2,5,4,3,6,1]=>[6,4,3,2,5,1]=>{{1,6},{2,4},{3},{5}}=>{{1,4},{2,6},{3},{5}}=>{{1,6},{2,4},{3},{5}}
[2,5,4,6,1,3]=>[5,6,3,4,1,2]=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}
[2,5,4,6,3,1]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[2,5,6,1,3,4]=>[4,6,5,1,3,2]=>{{1,4},{2,6},{3,5}}=>{{1,5},{2,6},{3,4}}=>{{1,4},{2,6},{3,5}}
[2,5,6,1,4,3]=>[4,6,5,1,3,2]=>{{1,4},{2,6},{3,5}}=>{{1,5},{2,6},{3,4}}=>{{1,4},{2,6},{3,5}}
[2,5,6,3,1,4]=>[5,6,4,3,1,2]=>{{1,5},{2,6},{3,4}}=>{{1,4},{2,6},{3,5}}=>{{1,5},{2,6},{3,4}}
[2,5,6,3,4,1]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[2,5,6,4,1,3]=>[5,6,4,3,1,2]=>{{1,5},{2,6},{3,4}}=>{{1,4},{2,6},{3,5}}=>{{1,5},{2,6},{3,4}}
[2,5,6,4,3,1]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[2,6,1,3,4,5]=>[3,6,1,4,5,2]=>{{1,3},{2,6},{4},{5}}=>{{1,6},{2,3},{4},{5}}=>{{1,3},{2,6},{4},{5}}
[2,6,1,3,5,4]=>[3,6,1,4,5,2]=>{{1,3},{2,6},{4},{5}}=>{{1,6},{2,3},{4},{5}}=>{{1,3},{2,6},{4},{5}}
[2,6,1,4,3,5]=>[3,6,1,5,4,2]=>{{1,3},{2,6},{4,5}}=>{{1,5},{2,3},{4,6}}=>{{1,3},{2,6},{4,5}}
[2,6,1,4,5,3]=>[3,6,1,5,4,2]=>{{1,3},{2,6},{4,5}}=>{{1,5},{2,3},{4,6}}=>{{1,3},{2,6},{4,5}}
[2,6,1,5,3,4]=>[3,6,1,5,4,2]=>{{1,3},{2,6},{4,5}}=>{{1,5},{2,3},{4,6}}=>{{1,3},{2,6},{4,5}}
[2,6,1,5,4,3]=>[3,6,1,5,4,2]=>{{1,3},{2,6},{4,5}}=>{{1,5},{2,3},{4,6}}=>{{1,3},{2,6},{4,5}}
[2,6,3,1,4,5]=>[4,6,3,1,5,2]=>{{1,4},{2,6},{3},{5}}=>{{1,6},{2,4},{3},{5}}=>{{1,4},{2,6},{3},{5}}
[2,6,3,1,5,4]=>[4,6,3,1,5,2]=>{{1,4},{2,6},{3},{5}}=>{{1,6},{2,4},{3},{5}}=>{{1,4},{2,6},{3},{5}}
[2,6,3,4,1,5]=>[5,6,3,4,1,2]=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}
[2,6,3,4,5,1]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[2,6,3,5,1,4]=>[5,6,3,4,1,2]=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}
[2,6,3,5,4,1]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[2,6,4,1,3,5]=>[4,6,5,1,3,2]=>{{1,4},{2,6},{3,5}}=>{{1,5},{2,6},{3,4}}=>{{1,4},{2,6},{3,5}}
[2,6,4,1,5,3]=>[4,6,5,1,3,2]=>{{1,4},{2,6},{3,5}}=>{{1,5},{2,6},{3,4}}=>{{1,4},{2,6},{3,5}}
[2,6,4,3,1,5]=>[5,6,4,3,1,2]=>{{1,5},{2,6},{3,4}}=>{{1,4},{2,6},{3,5}}=>{{1,5},{2,6},{3,4}}
[2,6,4,3,5,1]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[2,6,4,5,1,3]=>[5,6,4,3,1,2]=>{{1,5},{2,6},{3,4}}=>{{1,4},{2,6},{3,5}}=>{{1,5},{2,6},{3,4}}
[2,6,4,5,3,1]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[2,6,5,1,3,4]=>[4,6,5,1,3,2]=>{{1,4},{2,6},{3,5}}=>{{1,5},{2,6},{3,4}}=>{{1,4},{2,6},{3,5}}
[2,6,5,1,4,3]=>[4,6,5,1,3,2]=>{{1,4},{2,6},{3,5}}=>{{1,5},{2,6},{3,4}}=>{{1,4},{2,6},{3,5}}
[2,6,5,3,1,4]=>[5,6,4,3,1,2]=>{{1,5},{2,6},{3,4}}=>{{1,4},{2,6},{3,5}}=>{{1,5},{2,6},{3,4}}
[2,6,5,3,4,1]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[2,6,5,4,1,3]=>[5,6,4,3,1,2]=>{{1,5},{2,6},{3,4}}=>{{1,4},{2,6},{3,5}}=>{{1,5},{2,6},{3,4}}
[2,6,5,4,3,1]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[3,1,2,4,5,6]=>[3,2,1,4,5,6]=>{{1,3},{2},{4},{5},{6}}=>{{1,3},{2},{4},{5},{6}}=>{{1,3},{2},{4},{5},{6}}
[3,1,2,4,6,5]=>[3,2,1,4,6,5]=>{{1,3},{2},{4},{5,6}}=>{{1,3},{2},{4},{5,6}}=>{{1,3},{2},{4},{5,6}}
[3,1,2,5,4,6]=>[3,2,1,5,4,6]=>{{1,3},{2},{4,5},{6}}=>{{1,3},{2},{4,5},{6}}=>{{1,3},{2},{4,5},{6}}
[3,1,2,5,6,4]=>[3,2,1,6,5,4]=>{{1,3},{2},{4,6},{5}}=>{{1,3},{2},{4,6},{5}}=>{{1,3},{2},{4,6},{5}}
[3,1,2,6,4,5]=>[3,2,1,6,5,4]=>{{1,3},{2},{4,6},{5}}=>{{1,3},{2},{4,6},{5}}=>{{1,3},{2},{4,6},{5}}
[3,1,2,6,5,4]=>[3,2,1,6,5,4]=>{{1,3},{2},{4,6},{5}}=>{{1,3},{2},{4,6},{5}}=>{{1,3},{2},{4,6},{5}}
[3,1,4,2,5,6]=>[4,2,3,1,5,6]=>{{1,4},{2},{3},{5},{6}}=>{{1,4},{2},{3},{5},{6}}=>{{1,4},{2},{3},{5},{6}}
[3,1,4,2,6,5]=>[4,2,3,1,6,5]=>{{1,4},{2},{3},{5,6}}=>{{1,4},{2},{3},{5,6}}=>{{1,4},{2},{3},{5,6}}
[3,1,4,5,2,6]=>[5,2,3,4,1,6]=>{{1,5},{2},{3},{4},{6}}=>{{1,5},{2},{3},{4},{6}}=>{{1,5},{2},{3},{4},{6}}
[3,1,4,5,6,2]=>[6,2,3,4,5,1]=>{{1,6},{2},{3},{4},{5}}=>{{1,6},{2},{3},{4},{5}}=>{{1,6},{2},{3},{4},{5}}
[3,1,4,6,2,5]=>[5,2,3,6,1,4]=>{{1,5},{2},{3},{4,6}}=>{{1,6},{2},{3},{4,5}}=>{{1,5},{2},{3},{4,6}}
[3,1,4,6,5,2]=>[6,2,3,5,4,1]=>{{1,6},{2},{3},{4,5}}=>{{1,5},{2},{3},{4,6}}=>{{1,6},{2},{3},{4,5}}
[3,1,5,2,4,6]=>[4,2,5,1,3,6]=>{{1,4},{2},{3,5},{6}}=>{{1,5},{2},{3,4},{6}}=>{{1,4},{2},{3,5},{6}}
[3,1,5,2,6,4]=>[4,2,6,1,5,3]=>{{1,4},{2},{3,6},{5}}=>{{1,6},{2},{3,4},{5}}=>{{1,4},{2},{3,6},{5}}
[3,1,5,4,2,6]=>[5,2,4,3,1,6]=>{{1,5},{2},{3,4},{6}}=>{{1,4},{2},{3,5},{6}}=>{{1,5},{2},{3,4},{6}}
[3,1,5,4,6,2]=>[6,2,4,3,5,1]=>{{1,6},{2},{3,4},{5}}=>{{1,4},{2},{3,6},{5}}=>{{1,6},{2},{3,4},{5}}
[3,1,5,6,2,4]=>[5,2,6,4,1,3]=>{{1,5},{2},{3,6},{4}}=>{{1,6},{2},{3,5},{4}}=>{{1,5},{2},{3,6},{4}}
[3,1,5,6,4,2]=>[6,2,5,4,3,1]=>{{1,6},{2},{3,5},{4}}=>{{1,5},{2},{3,6},{4}}=>{{1,6},{2},{3,5},{4}}
[3,1,6,2,4,5]=>[4,2,6,1,5,3]=>{{1,4},{2},{3,6},{5}}=>{{1,6},{2},{3,4},{5}}=>{{1,4},{2},{3,6},{5}}
[3,1,6,2,5,4]=>[4,2,6,1,5,3]=>{{1,4},{2},{3,6},{5}}=>{{1,6},{2},{3,4},{5}}=>{{1,4},{2},{3,6},{5}}
[3,1,6,4,2,5]=>[5,2,6,4,1,3]=>{{1,5},{2},{3,6},{4}}=>{{1,6},{2},{3,5},{4}}=>{{1,5},{2},{3,6},{4}}
[3,1,6,4,5,2]=>[6,2,5,4,3,1]=>{{1,6},{2},{3,5},{4}}=>{{1,5},{2},{3,6},{4}}=>{{1,6},{2},{3,5},{4}}
[3,1,6,5,2,4]=>[5,2,6,4,1,3]=>{{1,5},{2},{3,6},{4}}=>{{1,6},{2},{3,5},{4}}=>{{1,5},{2},{3,6},{4}}
[3,1,6,5,4,2]=>[6,2,5,4,3,1]=>{{1,6},{2},{3,5},{4}}=>{{1,5},{2},{3,6},{4}}=>{{1,6},{2},{3,5},{4}}
[3,2,1,4,5,6]=>[3,2,1,4,5,6]=>{{1,3},{2},{4},{5},{6}}=>{{1,3},{2},{4},{5},{6}}=>{{1,3},{2},{4},{5},{6}}
[3,2,1,4,6,5]=>[3,2,1,4,6,5]=>{{1,3},{2},{4},{5,6}}=>{{1,3},{2},{4},{5,6}}=>{{1,3},{2},{4},{5,6}}
[3,2,1,5,4,6]=>[3,2,1,5,4,6]=>{{1,3},{2},{4,5},{6}}=>{{1,3},{2},{4,5},{6}}=>{{1,3},{2},{4,5},{6}}
[3,2,1,5,6,4]=>[3,2,1,6,5,4]=>{{1,3},{2},{4,6},{5}}=>{{1,3},{2},{4,6},{5}}=>{{1,3},{2},{4,6},{5}}
[3,2,1,6,4,5]=>[3,2,1,6,5,4]=>{{1,3},{2},{4,6},{5}}=>{{1,3},{2},{4,6},{5}}=>{{1,3},{2},{4,6},{5}}
[3,2,1,6,5,4]=>[3,2,1,6,5,4]=>{{1,3},{2},{4,6},{5}}=>{{1,3},{2},{4,6},{5}}=>{{1,3},{2},{4,6},{5}}
[3,2,4,1,5,6]=>[4,2,3,1,5,6]=>{{1,4},{2},{3},{5},{6}}=>{{1,4},{2},{3},{5},{6}}=>{{1,4},{2},{3},{5},{6}}
[3,2,4,1,6,5]=>[4,2,3,1,6,5]=>{{1,4},{2},{3},{5,6}}=>{{1,4},{2},{3},{5,6}}=>{{1,4},{2},{3},{5,6}}
[3,2,4,5,1,6]=>[5,2,3,4,1,6]=>{{1,5},{2},{3},{4},{6}}=>{{1,5},{2},{3},{4},{6}}=>{{1,5},{2},{3},{4},{6}}
[3,2,4,5,6,1]=>[6,2,3,4,5,1]=>{{1,6},{2},{3},{4},{5}}=>{{1,6},{2},{3},{4},{5}}=>{{1,6},{2},{3},{4},{5}}
[3,2,4,6,1,5]=>[5,2,3,6,1,4]=>{{1,5},{2},{3},{4,6}}=>{{1,6},{2},{3},{4,5}}=>{{1,5},{2},{3},{4,6}}
[3,2,4,6,5,1]=>[6,2,3,5,4,1]=>{{1,6},{2},{3},{4,5}}=>{{1,5},{2},{3},{4,6}}=>{{1,6},{2},{3},{4,5}}
[3,2,5,1,4,6]=>[4,2,5,1,3,6]=>{{1,4},{2},{3,5},{6}}=>{{1,5},{2},{3,4},{6}}=>{{1,4},{2},{3,5},{6}}
[3,2,5,1,6,4]=>[4,2,6,1,5,3]=>{{1,4},{2},{3,6},{5}}=>{{1,6},{2},{3,4},{5}}=>{{1,4},{2},{3,6},{5}}
[3,2,5,4,1,6]=>[5,2,4,3,1,6]=>{{1,5},{2},{3,4},{6}}=>{{1,4},{2},{3,5},{6}}=>{{1,5},{2},{3,4},{6}}
[3,2,5,4,6,1]=>[6,2,4,3,5,1]=>{{1,6},{2},{3,4},{5}}=>{{1,4},{2},{3,6},{5}}=>{{1,6},{2},{3,4},{5}}
[3,2,5,6,1,4]=>[5,2,6,4,1,3]=>{{1,5},{2},{3,6},{4}}=>{{1,6},{2},{3,5},{4}}=>{{1,5},{2},{3,6},{4}}
[3,2,5,6,4,1]=>[6,2,5,4,3,1]=>{{1,6},{2},{3,5},{4}}=>{{1,5},{2},{3,6},{4}}=>{{1,6},{2},{3,5},{4}}
[3,2,6,1,4,5]=>[4,2,6,1,5,3]=>{{1,4},{2},{3,6},{5}}=>{{1,6},{2},{3,4},{5}}=>{{1,4},{2},{3,6},{5}}
[3,2,6,1,5,4]=>[4,2,6,1,5,3]=>{{1,4},{2},{3,6},{5}}=>{{1,6},{2},{3,4},{5}}=>{{1,4},{2},{3,6},{5}}
[3,2,6,4,1,5]=>[5,2,6,4,1,3]=>{{1,5},{2},{3,6},{4}}=>{{1,6},{2},{3,5},{4}}=>{{1,5},{2},{3,6},{4}}
[3,2,6,4,5,1]=>[6,2,5,4,3,1]=>{{1,6},{2},{3,5},{4}}=>{{1,5},{2},{3,6},{4}}=>{{1,6},{2},{3,5},{4}}
[3,2,6,5,1,4]=>[5,2,6,4,1,3]=>{{1,5},{2},{3,6},{4}}=>{{1,6},{2},{3,5},{4}}=>{{1,5},{2},{3,6},{4}}
[3,2,6,5,4,1]=>[6,2,5,4,3,1]=>{{1,6},{2},{3,5},{4}}=>{{1,5},{2},{3,6},{4}}=>{{1,6},{2},{3,5},{4}}
[3,4,1,2,5,6]=>[4,3,2,1,5,6]=>{{1,4},{2,3},{5},{6}}=>{{1,3},{2,4},{5},{6}}=>{{1,4},{2,3},{5},{6}}
[3,4,1,2,6,5]=>[4,3,2,1,6,5]=>{{1,4},{2,3},{5,6}}=>{{1,3},{2,4},{5,6}}=>{{1,4},{2,3},{5,6}}
[3,4,1,5,2,6]=>[5,3,2,4,1,6]=>{{1,5},{2,3},{4},{6}}=>{{1,3},{2,5},{4},{6}}=>{{1,5},{2,3},{4},{6}}
[3,4,1,5,6,2]=>[6,3,2,4,5,1]=>{{1,6},{2,3},{4},{5}}=>{{1,3},{2,6},{4},{5}}=>{{1,6},{2,3},{4},{5}}
[3,4,1,6,2,5]=>[5,3,2,6,1,4]=>{{1,5},{2,3},{4,6}}=>{{1,3},{2,6},{4,5}}=>{{1,5},{2,3},{4,6}}
[3,4,1,6,5,2]=>[6,3,2,5,4,1]=>{{1,6},{2,3},{4,5}}=>{{1,3},{2,5},{4,6}}=>{{1,6},{2,3},{4,5}}
[3,4,2,1,5,6]=>[4,3,2,1,5,6]=>{{1,4},{2,3},{5},{6}}=>{{1,3},{2,4},{5},{6}}=>{{1,4},{2,3},{5},{6}}
[3,4,2,1,6,5]=>[4,3,2,1,6,5]=>{{1,4},{2,3},{5,6}}=>{{1,3},{2,4},{5,6}}=>{{1,4},{2,3},{5,6}}
[3,4,2,5,1,6]=>[5,3,2,4,1,6]=>{{1,5},{2,3},{4},{6}}=>{{1,3},{2,5},{4},{6}}=>{{1,5},{2,3},{4},{6}}
[3,4,2,5,6,1]=>[6,3,2,4,5,1]=>{{1,6},{2,3},{4},{5}}=>{{1,3},{2,6},{4},{5}}=>{{1,6},{2,3},{4},{5}}
[3,4,2,6,1,5]=>[5,3,2,6,1,4]=>{{1,5},{2,3},{4,6}}=>{{1,3},{2,6},{4,5}}=>{{1,5},{2,3},{4,6}}
[3,4,2,6,5,1]=>[6,3,2,5,4,1]=>{{1,6},{2,3},{4,5}}=>{{1,3},{2,5},{4,6}}=>{{1,6},{2,3},{4,5}}
[3,4,5,1,2,6]=>[5,4,3,2,1,6]=>{{1,5},{2,4},{3},{6}}=>{{1,4},{2,5},{3},{6}}=>{{1,5},{2,4},{3},{6}}
[3,4,5,1,6,2]=>[6,4,3,2,5,1]=>{{1,6},{2,4},{3},{5}}=>{{1,4},{2,6},{3},{5}}=>{{1,6},{2,4},{3},{5}}
[3,4,5,2,1,6]=>[5,4,3,2,1,6]=>{{1,5},{2,4},{3},{6}}=>{{1,4},{2,5},{3},{6}}=>{{1,5},{2,4},{3},{6}}
[3,4,5,2,6,1]=>[6,4,3,2,5,1]=>{{1,6},{2,4},{3},{5}}=>{{1,4},{2,6},{3},{5}}=>{{1,6},{2,4},{3},{5}}
[3,4,5,6,1,2]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[3,4,5,6,2,1]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[3,4,6,1,2,5]=>[5,4,6,2,1,3]=>{{1,5},{2,4},{3,6}}=>{{1,6},{2,4},{3,5}}=>{{1,5},{2,4},{3,6}}
[3,4,6,1,5,2]=>[6,4,5,2,3,1]=>{{1,6},{2,4},{3,5}}=>{{1,5},{2,4},{3,6}}=>{{1,6},{2,4},{3,5}}
[3,4,6,2,1,5]=>[5,4,6,2,1,3]=>{{1,5},{2,4},{3,6}}=>{{1,6},{2,4},{3,5}}=>{{1,5},{2,4},{3,6}}
[3,4,6,2,5,1]=>[6,4,5,2,3,1]=>{{1,6},{2,4},{3,5}}=>{{1,5},{2,4},{3,6}}=>{{1,6},{2,4},{3,5}}
[3,4,6,5,1,2]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[3,4,6,5,2,1]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[3,5,1,2,4,6]=>[4,5,3,1,2,6]=>{{1,4},{2,5},{3},{6}}=>{{1,5},{2,4},{3},{6}}=>{{1,4},{2,5},{3},{6}}
[3,5,1,2,6,4]=>[4,6,3,1,5,2]=>{{1,4},{2,6},{3},{5}}=>{{1,6},{2,4},{3},{5}}=>{{1,4},{2,6},{3},{5}}
[3,5,1,4,2,6]=>[5,4,3,2,1,6]=>{{1,5},{2,4},{3},{6}}=>{{1,4},{2,5},{3},{6}}=>{{1,5},{2,4},{3},{6}}
[3,5,1,4,6,2]=>[6,4,3,2,5,1]=>{{1,6},{2,4},{3},{5}}=>{{1,4},{2,6},{3},{5}}=>{{1,6},{2,4},{3},{5}}
[3,5,1,6,2,4]=>[5,6,3,4,1,2]=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}
[3,5,1,6,4,2]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[3,5,2,1,4,6]=>[4,5,3,1,2,6]=>{{1,4},{2,5},{3},{6}}=>{{1,5},{2,4},{3},{6}}=>{{1,4},{2,5},{3},{6}}
[3,5,2,1,6,4]=>[4,6,3,1,5,2]=>{{1,4},{2,6},{3},{5}}=>{{1,6},{2,4},{3},{5}}=>{{1,4},{2,6},{3},{5}}
[3,5,2,4,1,6]=>[5,4,3,2,1,6]=>{{1,5},{2,4},{3},{6}}=>{{1,4},{2,5},{3},{6}}=>{{1,5},{2,4},{3},{6}}
[3,5,2,4,6,1]=>[6,4,3,2,5,1]=>{{1,6},{2,4},{3},{5}}=>{{1,4},{2,6},{3},{5}}=>{{1,6},{2,4},{3},{5}}
[3,5,2,6,1,4]=>[5,6,3,4,1,2]=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}
[3,5,2,6,4,1]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[3,5,4,1,2,6]=>[5,4,3,2,1,6]=>{{1,5},{2,4},{3},{6}}=>{{1,4},{2,5},{3},{6}}=>{{1,5},{2,4},{3},{6}}
[3,5,4,1,6,2]=>[6,4,3,2,5,1]=>{{1,6},{2,4},{3},{5}}=>{{1,4},{2,6},{3},{5}}=>{{1,6},{2,4},{3},{5}}
[3,5,4,2,1,6]=>[5,4,3,2,1,6]=>{{1,5},{2,4},{3},{6}}=>{{1,4},{2,5},{3},{6}}=>{{1,5},{2,4},{3},{6}}
[3,5,4,2,6,1]=>[6,4,3,2,5,1]=>{{1,6},{2,4},{3},{5}}=>{{1,4},{2,6},{3},{5}}=>{{1,6},{2,4},{3},{5}}
[3,5,4,6,1,2]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[3,5,4,6,2,1]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[3,5,6,1,2,4]=>[5,6,4,3,1,2]=>{{1,5},{2,6},{3,4}}=>{{1,4},{2,6},{3,5}}=>{{1,5},{2,6},{3,4}}
[3,5,6,1,4,2]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[3,5,6,2,1,4]=>[5,6,4,3,1,2]=>{{1,5},{2,6},{3,4}}=>{{1,4},{2,6},{3,5}}=>{{1,5},{2,6},{3,4}}
[3,5,6,2,4,1]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[3,5,6,4,1,2]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[3,5,6,4,2,1]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[3,6,1,2,4,5]=>[4,6,3,1,5,2]=>{{1,4},{2,6},{3},{5}}=>{{1,6},{2,4},{3},{5}}=>{{1,4},{2,6},{3},{5}}
[3,6,1,2,5,4]=>[4,6,3,1,5,2]=>{{1,4},{2,6},{3},{5}}=>{{1,6},{2,4},{3},{5}}=>{{1,4},{2,6},{3},{5}}
[3,6,1,4,2,5]=>[5,6,3,4,1,2]=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}
[3,6,1,4,5,2]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[3,6,1,5,2,4]=>[5,6,3,4,1,2]=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}
[3,6,1,5,4,2]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[3,6,2,1,4,5]=>[4,6,3,1,5,2]=>{{1,4},{2,6},{3},{5}}=>{{1,6},{2,4},{3},{5}}=>{{1,4},{2,6},{3},{5}}
[3,6,2,1,5,4]=>[4,6,3,1,5,2]=>{{1,4},{2,6},{3},{5}}=>{{1,6},{2,4},{3},{5}}=>{{1,4},{2,6},{3},{5}}
[3,6,2,4,1,5]=>[5,6,3,4,1,2]=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}
[3,6,2,4,5,1]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[3,6,2,5,1,4]=>[5,6,3,4,1,2]=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}
[3,6,2,5,4,1]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[3,6,4,1,2,5]=>[5,6,4,3,1,2]=>{{1,5},{2,6},{3,4}}=>{{1,4},{2,6},{3,5}}=>{{1,5},{2,6},{3,4}}
[3,6,4,1,5,2]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[3,6,4,2,1,5]=>[5,6,4,3,1,2]=>{{1,5},{2,6},{3,4}}=>{{1,4},{2,6},{3,5}}=>{{1,5},{2,6},{3,4}}
[3,6,4,2,5,1]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[3,6,4,5,1,2]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[3,6,4,5,2,1]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[3,6,5,1,2,4]=>[5,6,4,3,1,2]=>{{1,5},{2,6},{3,4}}=>{{1,4},{2,6},{3,5}}=>{{1,5},{2,6},{3,4}}
[3,6,5,1,4,2]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[3,6,5,2,1,4]=>[5,6,4,3,1,2]=>{{1,5},{2,6},{3,4}}=>{{1,4},{2,6},{3,5}}=>{{1,5},{2,6},{3,4}}
[3,6,5,2,4,1]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[3,6,5,4,1,2]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[3,6,5,4,2,1]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[4,1,2,3,5,6]=>[4,2,3,1,5,6]=>{{1,4},{2},{3},{5},{6}}=>{{1,4},{2},{3},{5},{6}}=>{{1,4},{2},{3},{5},{6}}
[4,1,2,3,6,5]=>[4,2,3,1,6,5]=>{{1,4},{2},{3},{5,6}}=>{{1,4},{2},{3},{5,6}}=>{{1,4},{2},{3},{5,6}}
[4,1,2,5,3,6]=>[5,2,3,4,1,6]=>{{1,5},{2},{3},{4},{6}}=>{{1,5},{2},{3},{4},{6}}=>{{1,5},{2},{3},{4},{6}}
[4,1,2,5,6,3]=>[6,2,3,4,5,1]=>{{1,6},{2},{3},{4},{5}}=>{{1,6},{2},{3},{4},{5}}=>{{1,6},{2},{3},{4},{5}}
[4,1,2,6,3,5]=>[5,2,3,6,1,4]=>{{1,5},{2},{3},{4,6}}=>{{1,6},{2},{3},{4,5}}=>{{1,5},{2},{3},{4,6}}
[4,1,2,6,5,3]=>[6,2,3,5,4,1]=>{{1,6},{2},{3},{4,5}}=>{{1,5},{2},{3},{4,6}}=>{{1,6},{2},{3},{4,5}}
[4,1,3,2,5,6]=>[4,2,3,1,5,6]=>{{1,4},{2},{3},{5},{6}}=>{{1,4},{2},{3},{5},{6}}=>{{1,4},{2},{3},{5},{6}}
[4,1,3,2,6,5]=>[4,2,3,1,6,5]=>{{1,4},{2},{3},{5,6}}=>{{1,4},{2},{3},{5,6}}=>{{1,4},{2},{3},{5,6}}
[4,1,3,5,2,6]=>[5,2,3,4,1,6]=>{{1,5},{2},{3},{4},{6}}=>{{1,5},{2},{3},{4},{6}}=>{{1,5},{2},{3},{4},{6}}
[4,1,3,5,6,2]=>[6,2,3,4,5,1]=>{{1,6},{2},{3},{4},{5}}=>{{1,6},{2},{3},{4},{5}}=>{{1,6},{2},{3},{4},{5}}
[4,1,3,6,2,5]=>[5,2,3,6,1,4]=>{{1,5},{2},{3},{4,6}}=>{{1,6},{2},{3},{4,5}}=>{{1,5},{2},{3},{4,6}}
[4,1,3,6,5,2]=>[6,2,3,5,4,1]=>{{1,6},{2},{3},{4,5}}=>{{1,5},{2},{3},{4,6}}=>{{1,6},{2},{3},{4,5}}
[4,1,5,2,3,6]=>[5,2,4,3,1,6]=>{{1,5},{2},{3,4},{6}}=>{{1,4},{2},{3,5},{6}}=>{{1,5},{2},{3,4},{6}}
[4,1,5,2,6,3]=>[6,2,4,3,5,1]=>{{1,6},{2},{3,4},{5}}=>{{1,4},{2},{3,6},{5}}=>{{1,6},{2},{3,4},{5}}
[4,1,5,3,2,6]=>[5,2,4,3,1,6]=>{{1,5},{2},{3,4},{6}}=>{{1,4},{2},{3,5},{6}}=>{{1,5},{2},{3,4},{6}}
[4,1,5,3,6,2]=>[6,2,4,3,5,1]=>{{1,6},{2},{3,4},{5}}=>{{1,4},{2},{3,6},{5}}=>{{1,6},{2},{3,4},{5}}
[4,1,5,6,2,3]=>[6,2,5,4,3,1]=>{{1,6},{2},{3,5},{4}}=>{{1,5},{2},{3,6},{4}}=>{{1,6},{2},{3,5},{4}}
[4,1,5,6,3,2]=>[6,2,5,4,3,1]=>{{1,6},{2},{3,5},{4}}=>{{1,5},{2},{3,6},{4}}=>{{1,6},{2},{3,5},{4}}
[4,1,6,2,3,5]=>[5,2,6,4,1,3]=>{{1,5},{2},{3,6},{4}}=>{{1,6},{2},{3,5},{4}}=>{{1,5},{2},{3,6},{4}}
[4,1,6,2,5,3]=>[6,2,5,4,3,1]=>{{1,6},{2},{3,5},{4}}=>{{1,5},{2},{3,6},{4}}=>{{1,6},{2},{3,5},{4}}
[4,1,6,3,2,5]=>[5,2,6,4,1,3]=>{{1,5},{2},{3,6},{4}}=>{{1,6},{2},{3,5},{4}}=>{{1,5},{2},{3,6},{4}}
[4,1,6,3,5,2]=>[6,2,5,4,3,1]=>{{1,6},{2},{3,5},{4}}=>{{1,5},{2},{3,6},{4}}=>{{1,6},{2},{3,5},{4}}
[4,1,6,5,2,3]=>[6,2,5,4,3,1]=>{{1,6},{2},{3,5},{4}}=>{{1,5},{2},{3,6},{4}}=>{{1,6},{2},{3,5},{4}}
[4,1,6,5,3,2]=>[6,2,5,4,3,1]=>{{1,6},{2},{3,5},{4}}=>{{1,5},{2},{3,6},{4}}=>{{1,6},{2},{3,5},{4}}
[4,2,1,3,5,6]=>[4,3,2,1,5,6]=>{{1,4},{2,3},{5},{6}}=>{{1,3},{2,4},{5},{6}}=>{{1,4},{2,3},{5},{6}}
[4,2,1,3,6,5]=>[4,3,2,1,6,5]=>{{1,4},{2,3},{5,6}}=>{{1,3},{2,4},{5,6}}=>{{1,4},{2,3},{5,6}}
[4,2,1,5,3,6]=>[5,3,2,4,1,6]=>{{1,5},{2,3},{4},{6}}=>{{1,3},{2,5},{4},{6}}=>{{1,5},{2,3},{4},{6}}
[4,2,1,5,6,3]=>[6,3,2,4,5,1]=>{{1,6},{2,3},{4},{5}}=>{{1,3},{2,6},{4},{5}}=>{{1,6},{2,3},{4},{5}}
[4,2,1,6,3,5]=>[5,3,2,6,1,4]=>{{1,5},{2,3},{4,6}}=>{{1,3},{2,6},{4,5}}=>{{1,5},{2,3},{4,6}}
[4,2,1,6,5,3]=>[6,3,2,5,4,1]=>{{1,6},{2,3},{4,5}}=>{{1,3},{2,5},{4,6}}=>{{1,6},{2,3},{4,5}}
[4,2,3,1,5,6]=>[4,3,2,1,5,6]=>{{1,4},{2,3},{5},{6}}=>{{1,3},{2,4},{5},{6}}=>{{1,4},{2,3},{5},{6}}
[4,2,3,1,6,5]=>[4,3,2,1,6,5]=>{{1,4},{2,3},{5,6}}=>{{1,3},{2,4},{5,6}}=>{{1,4},{2,3},{5,6}}
[4,2,3,5,1,6]=>[5,3,2,4,1,6]=>{{1,5},{2,3},{4},{6}}=>{{1,3},{2,5},{4},{6}}=>{{1,5},{2,3},{4},{6}}
[4,2,3,5,6,1]=>[6,3,2,4,5,1]=>{{1,6},{2,3},{4},{5}}=>{{1,3},{2,6},{4},{5}}=>{{1,6},{2,3},{4},{5}}
[4,2,3,6,1,5]=>[5,3,2,6,1,4]=>{{1,5},{2,3},{4,6}}=>{{1,3},{2,6},{4,5}}=>{{1,5},{2,3},{4,6}}
[4,2,3,6,5,1]=>[6,3,2,5,4,1]=>{{1,6},{2,3},{4,5}}=>{{1,3},{2,5},{4,6}}=>{{1,6},{2,3},{4,5}}
[4,2,5,1,3,6]=>[5,4,3,2,1,6]=>{{1,5},{2,4},{3},{6}}=>{{1,4},{2,5},{3},{6}}=>{{1,5},{2,4},{3},{6}}
[4,2,5,1,6,3]=>[6,4,3,2,5,1]=>{{1,6},{2,4},{3},{5}}=>{{1,4},{2,6},{3},{5}}=>{{1,6},{2,4},{3},{5}}
[4,2,5,3,1,6]=>[5,4,3,2,1,6]=>{{1,5},{2,4},{3},{6}}=>{{1,4},{2,5},{3},{6}}=>{{1,5},{2,4},{3},{6}}
[4,2,5,3,6,1]=>[6,4,3,2,5,1]=>{{1,6},{2,4},{3},{5}}=>{{1,4},{2,6},{3},{5}}=>{{1,6},{2,4},{3},{5}}
[4,2,5,6,1,3]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[4,2,5,6,3,1]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[4,2,6,1,3,5]=>[5,4,6,2,1,3]=>{{1,5},{2,4},{3,6}}=>{{1,6},{2,4},{3,5}}=>{{1,5},{2,4},{3,6}}
[4,2,6,1,5,3]=>[6,4,5,2,3,1]=>{{1,6},{2,4},{3,5}}=>{{1,5},{2,4},{3,6}}=>{{1,6},{2,4},{3,5}}
[4,2,6,3,1,5]=>[5,4,6,2,1,3]=>{{1,5},{2,4},{3,6}}=>{{1,6},{2,4},{3,5}}=>{{1,5},{2,4},{3,6}}
[4,2,6,3,5,1]=>[6,4,5,2,3,1]=>{{1,6},{2,4},{3,5}}=>{{1,5},{2,4},{3,6}}=>{{1,6},{2,4},{3,5}}
[4,2,6,5,1,3]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[4,2,6,5,3,1]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[4,3,1,2,5,6]=>[4,3,2,1,5,6]=>{{1,4},{2,3},{5},{6}}=>{{1,3},{2,4},{5},{6}}=>{{1,4},{2,3},{5},{6}}
[4,3,1,2,6,5]=>[4,3,2,1,6,5]=>{{1,4},{2,3},{5,6}}=>{{1,3},{2,4},{5,6}}=>{{1,4},{2,3},{5,6}}
[4,3,1,5,2,6]=>[5,3,2,4,1,6]=>{{1,5},{2,3},{4},{6}}=>{{1,3},{2,5},{4},{6}}=>{{1,5},{2,3},{4},{6}}
[4,3,1,5,6,2]=>[6,3,2,4,5,1]=>{{1,6},{2,3},{4},{5}}=>{{1,3},{2,6},{4},{5}}=>{{1,6},{2,3},{4},{5}}
[4,3,1,6,2,5]=>[5,3,2,6,1,4]=>{{1,5},{2,3},{4,6}}=>{{1,3},{2,6},{4,5}}=>{{1,5},{2,3},{4,6}}
[4,3,1,6,5,2]=>[6,3,2,5,4,1]=>{{1,6},{2,3},{4,5}}=>{{1,3},{2,5},{4,6}}=>{{1,6},{2,3},{4,5}}
[4,3,2,1,5,6]=>[4,3,2,1,5,6]=>{{1,4},{2,3},{5},{6}}=>{{1,3},{2,4},{5},{6}}=>{{1,4},{2,3},{5},{6}}
[4,3,2,1,6,5]=>[4,3,2,1,6,5]=>{{1,4},{2,3},{5,6}}=>{{1,3},{2,4},{5,6}}=>{{1,4},{2,3},{5,6}}
[4,3,2,5,1,6]=>[5,3,2,4,1,6]=>{{1,5},{2,3},{4},{6}}=>{{1,3},{2,5},{4},{6}}=>{{1,5},{2,3},{4},{6}}
[4,3,2,5,6,1]=>[6,3,2,4,5,1]=>{{1,6},{2,3},{4},{5}}=>{{1,3},{2,6},{4},{5}}=>{{1,6},{2,3},{4},{5}}
[4,3,2,6,1,5]=>[5,3,2,6,1,4]=>{{1,5},{2,3},{4,6}}=>{{1,3},{2,6},{4,5}}=>{{1,5},{2,3},{4,6}}
[4,3,2,6,5,1]=>[6,3,2,5,4,1]=>{{1,6},{2,3},{4,5}}=>{{1,3},{2,5},{4,6}}=>{{1,6},{2,3},{4,5}}
[4,3,5,1,2,6]=>[5,4,3,2,1,6]=>{{1,5},{2,4},{3},{6}}=>{{1,4},{2,5},{3},{6}}=>{{1,5},{2,4},{3},{6}}
[4,3,5,1,6,2]=>[6,4,3,2,5,1]=>{{1,6},{2,4},{3},{5}}=>{{1,4},{2,6},{3},{5}}=>{{1,6},{2,4},{3},{5}}
[4,3,5,2,1,6]=>[5,4,3,2,1,6]=>{{1,5},{2,4},{3},{6}}=>{{1,4},{2,5},{3},{6}}=>{{1,5},{2,4},{3},{6}}
[4,3,5,2,6,1]=>[6,4,3,2,5,1]=>{{1,6},{2,4},{3},{5}}=>{{1,4},{2,6},{3},{5}}=>{{1,6},{2,4},{3},{5}}
[4,3,5,6,1,2]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[4,3,5,6,2,1]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[4,3,6,1,2,5]=>[5,4,6,2,1,3]=>{{1,5},{2,4},{3,6}}=>{{1,6},{2,4},{3,5}}=>{{1,5},{2,4},{3,6}}
[4,3,6,1,5,2]=>[6,4,5,2,3,1]=>{{1,6},{2,4},{3,5}}=>{{1,5},{2,4},{3,6}}=>{{1,6},{2,4},{3,5}}
[4,3,6,2,1,5]=>[5,4,6,2,1,3]=>{{1,5},{2,4},{3,6}}=>{{1,6},{2,4},{3,5}}=>{{1,5},{2,4},{3,6}}
[4,3,6,2,5,1]=>[6,4,5,2,3,1]=>{{1,6},{2,4},{3,5}}=>{{1,5},{2,4},{3,6}}=>{{1,6},{2,4},{3,5}}
[4,3,6,5,1,2]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[4,3,6,5,2,1]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[4,5,1,2,3,6]=>[5,4,3,2,1,6]=>{{1,5},{2,4},{3},{6}}=>{{1,4},{2,5},{3},{6}}=>{{1,5},{2,4},{3},{6}}
[4,5,1,2,6,3]=>[6,4,3,2,5,1]=>{{1,6},{2,4},{3},{5}}=>{{1,4},{2,6},{3},{5}}=>{{1,6},{2,4},{3},{5}}
[4,5,1,3,2,6]=>[5,4,3,2,1,6]=>{{1,5},{2,4},{3},{6}}=>{{1,4},{2,5},{3},{6}}=>{{1,5},{2,4},{3},{6}}
[4,5,1,3,6,2]=>[6,4,3,2,5,1]=>{{1,6},{2,4},{3},{5}}=>{{1,4},{2,6},{3},{5}}=>{{1,6},{2,4},{3},{5}}
[4,5,1,6,2,3]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[4,5,1,6,3,2]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[4,5,2,1,3,6]=>[5,4,3,2,1,6]=>{{1,5},{2,4},{3},{6}}=>{{1,4},{2,5},{3},{6}}=>{{1,5},{2,4},{3},{6}}
[4,5,2,1,6,3]=>[6,4,3,2,5,1]=>{{1,6},{2,4},{3},{5}}=>{{1,4},{2,6},{3},{5}}=>{{1,6},{2,4},{3},{5}}
[4,5,2,3,1,6]=>[5,4,3,2,1,6]=>{{1,5},{2,4},{3},{6}}=>{{1,4},{2,5},{3},{6}}=>{{1,5},{2,4},{3},{6}}
[4,5,2,3,6,1]=>[6,4,3,2,5,1]=>{{1,6},{2,4},{3},{5}}=>{{1,4},{2,6},{3},{5}}=>{{1,6},{2,4},{3},{5}}
[4,5,2,6,1,3]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[4,5,2,6,3,1]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[4,5,3,1,2,6]=>[5,4,3,2,1,6]=>{{1,5},{2,4},{3},{6}}=>{{1,4},{2,5},{3},{6}}=>{{1,5},{2,4},{3},{6}}
[4,5,3,1,6,2]=>[6,4,3,2,5,1]=>{{1,6},{2,4},{3},{5}}=>{{1,4},{2,6},{3},{5}}=>{{1,6},{2,4},{3},{5}}
[4,5,3,2,1,6]=>[5,4,3,2,1,6]=>{{1,5},{2,4},{3},{6}}=>{{1,4},{2,5},{3},{6}}=>{{1,5},{2,4},{3},{6}}
[4,5,3,2,6,1]=>[6,4,3,2,5,1]=>{{1,6},{2,4},{3},{5}}=>{{1,4},{2,6},{3},{5}}=>{{1,6},{2,4},{3},{5}}
[4,5,3,6,1,2]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[4,5,3,6,2,1]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[4,5,6,1,2,3]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[4,5,6,1,3,2]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[4,5,6,2,1,3]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[4,5,6,2,3,1]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[4,5,6,3,1,2]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[4,5,6,3,2,1]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[4,6,1,2,3,5]=>[5,6,3,4,1,2]=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}
[4,6,1,2,5,3]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[4,6,1,3,2,5]=>[5,6,3,4,1,2]=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}
[4,6,1,3,5,2]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[4,6,1,5,2,3]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[4,6,1,5,3,2]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[4,6,2,1,3,5]=>[5,6,4,3,1,2]=>{{1,5},{2,6},{3,4}}=>{{1,4},{2,6},{3,5}}=>{{1,5},{2,6},{3,4}}
[4,6,2,1,5,3]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[4,6,2,3,1,5]=>[5,6,4,3,1,2]=>{{1,5},{2,6},{3,4}}=>{{1,4},{2,6},{3,5}}=>{{1,5},{2,6},{3,4}}
[4,6,2,3,5,1]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[4,6,2,5,1,3]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[4,6,2,5,3,1]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[4,6,3,1,2,5]=>[5,6,4,3,1,2]=>{{1,5},{2,6},{3,4}}=>{{1,4},{2,6},{3,5}}=>{{1,5},{2,6},{3,4}}
[4,6,3,1,5,2]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[4,6,3,2,1,5]=>[5,6,4,3,1,2]=>{{1,5},{2,6},{3,4}}=>{{1,4},{2,6},{3,5}}=>{{1,5},{2,6},{3,4}}
[4,6,3,2,5,1]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[4,6,3,5,1,2]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[4,6,3,5,2,1]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[4,6,5,1,2,3]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[4,6,5,1,3,2]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[4,6,5,2,1,3]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[4,6,5,2,3,1]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[4,6,5,3,1,2]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[4,6,5,3,2,1]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[5,1,2,3,4,6]=>[5,2,3,4,1,6]=>{{1,5},{2},{3},{4},{6}}=>{{1,5},{2},{3},{4},{6}}=>{{1,5},{2},{3},{4},{6}}
[5,1,2,3,6,4]=>[6,2,3,4,5,1]=>{{1,6},{2},{3},{4},{5}}=>{{1,6},{2},{3},{4},{5}}=>{{1,6},{2},{3},{4},{5}}
[5,1,2,4,3,6]=>[5,2,3,4,1,6]=>{{1,5},{2},{3},{4},{6}}=>{{1,5},{2},{3},{4},{6}}=>{{1,5},{2},{3},{4},{6}}
[5,1,2,4,6,3]=>[6,2,3,4,5,1]=>{{1,6},{2},{3},{4},{5}}=>{{1,6},{2},{3},{4},{5}}=>{{1,6},{2},{3},{4},{5}}
[5,1,2,6,3,4]=>[6,2,3,5,4,1]=>{{1,6},{2},{3},{4,5}}=>{{1,5},{2},{3},{4,6}}=>{{1,6},{2},{3},{4,5}}
[5,1,2,6,4,3]=>[6,2,3,5,4,1]=>{{1,6},{2},{3},{4,5}}=>{{1,5},{2},{3},{4,6}}=>{{1,6},{2},{3},{4,5}}
[5,1,3,2,4,6]=>[5,2,4,3,1,6]=>{{1,5},{2},{3,4},{6}}=>{{1,4},{2},{3,5},{6}}=>{{1,5},{2},{3,4},{6}}
[5,1,3,2,6,4]=>[6,2,4,3,5,1]=>{{1,6},{2},{3,4},{5}}=>{{1,4},{2},{3,6},{5}}=>{{1,6},{2},{3,4},{5}}
[5,1,3,4,2,6]=>[5,2,4,3,1,6]=>{{1,5},{2},{3,4},{6}}=>{{1,4},{2},{3,5},{6}}=>{{1,5},{2},{3,4},{6}}
[5,1,3,4,6,2]=>[6,2,4,3,5,1]=>{{1,6},{2},{3,4},{5}}=>{{1,4},{2},{3,6},{5}}=>{{1,6},{2},{3,4},{5}}
[5,1,3,6,2,4]=>[6,2,5,4,3,1]=>{{1,6},{2},{3,5},{4}}=>{{1,5},{2},{3,6},{4}}=>{{1,6},{2},{3,5},{4}}
[5,1,3,6,4,2]=>[6,2,5,4,3,1]=>{{1,6},{2},{3,5},{4}}=>{{1,5},{2},{3,6},{4}}=>{{1,6},{2},{3,5},{4}}
[5,1,4,2,3,6]=>[5,2,4,3,1,6]=>{{1,5},{2},{3,4},{6}}=>{{1,4},{2},{3,5},{6}}=>{{1,5},{2},{3,4},{6}}
[5,1,4,2,6,3]=>[6,2,4,3,5,1]=>{{1,6},{2},{3,4},{5}}=>{{1,4},{2},{3,6},{5}}=>{{1,6},{2},{3,4},{5}}
[5,1,4,3,2,6]=>[5,2,4,3,1,6]=>{{1,5},{2},{3,4},{6}}=>{{1,4},{2},{3,5},{6}}=>{{1,5},{2},{3,4},{6}}
[5,1,4,3,6,2]=>[6,2,4,3,5,1]=>{{1,6},{2},{3,4},{5}}=>{{1,4},{2},{3,6},{5}}=>{{1,6},{2},{3,4},{5}}
[5,1,4,6,2,3]=>[6,2,5,4,3,1]=>{{1,6},{2},{3,5},{4}}=>{{1,5},{2},{3,6},{4}}=>{{1,6},{2},{3,5},{4}}
[5,1,4,6,3,2]=>[6,2,5,4,3,1]=>{{1,6},{2},{3,5},{4}}=>{{1,5},{2},{3,6},{4}}=>{{1,6},{2},{3,5},{4}}
[5,1,6,2,3,4]=>[6,2,5,4,3,1]=>{{1,6},{2},{3,5},{4}}=>{{1,5},{2},{3,6},{4}}=>{{1,6},{2},{3,5},{4}}
[5,1,6,2,4,3]=>[6,2,5,4,3,1]=>{{1,6},{2},{3,5},{4}}=>{{1,5},{2},{3,6},{4}}=>{{1,6},{2},{3,5},{4}}
[5,1,6,3,2,4]=>[6,2,5,4,3,1]=>{{1,6},{2},{3,5},{4}}=>{{1,5},{2},{3,6},{4}}=>{{1,6},{2},{3,5},{4}}
[5,1,6,3,4,2]=>[6,2,5,4,3,1]=>{{1,6},{2},{3,5},{4}}=>{{1,5},{2},{3,6},{4}}=>{{1,6},{2},{3,5},{4}}
[5,1,6,4,2,3]=>[6,2,5,4,3,1]=>{{1,6},{2},{3,5},{4}}=>{{1,5},{2},{3,6},{4}}=>{{1,6},{2},{3,5},{4}}
[5,1,6,4,3,2]=>[6,2,5,4,3,1]=>{{1,6},{2},{3,5},{4}}=>{{1,5},{2},{3,6},{4}}=>{{1,6},{2},{3,5},{4}}
[5,2,1,3,4,6]=>[5,3,2,4,1,6]=>{{1,5},{2,3},{4},{6}}=>{{1,3},{2,5},{4},{6}}=>{{1,5},{2,3},{4},{6}}
[5,2,1,3,6,4]=>[6,3,2,4,5,1]=>{{1,6},{2,3},{4},{5}}=>{{1,3},{2,6},{4},{5}}=>{{1,6},{2,3},{4},{5}}
[5,2,1,4,3,6]=>[5,3,2,4,1,6]=>{{1,5},{2,3},{4},{6}}=>{{1,3},{2,5},{4},{6}}=>{{1,5},{2,3},{4},{6}}
[5,2,1,4,6,3]=>[6,3,2,4,5,1]=>{{1,6},{2,3},{4},{5}}=>{{1,3},{2,6},{4},{5}}=>{{1,6},{2,3},{4},{5}}
[5,2,1,6,3,4]=>[6,3,2,5,4,1]=>{{1,6},{2,3},{4,5}}=>{{1,3},{2,5},{4,6}}=>{{1,6},{2,3},{4,5}}
[5,2,1,6,4,3]=>[6,3,2,5,4,1]=>{{1,6},{2,3},{4,5}}=>{{1,3},{2,5},{4,6}}=>{{1,6},{2,3},{4,5}}
[5,2,3,1,4,6]=>[5,4,3,2,1,6]=>{{1,5},{2,4},{3},{6}}=>{{1,4},{2,5},{3},{6}}=>{{1,5},{2,4},{3},{6}}
[5,2,3,1,6,4]=>[6,4,3,2,5,1]=>{{1,6},{2,4},{3},{5}}=>{{1,4},{2,6},{3},{5}}=>{{1,6},{2,4},{3},{5}}
[5,2,3,4,1,6]=>[5,4,3,2,1,6]=>{{1,5},{2,4},{3},{6}}=>{{1,4},{2,5},{3},{6}}=>{{1,5},{2,4},{3},{6}}
[5,2,3,4,6,1]=>[6,4,3,2,5,1]=>{{1,6},{2,4},{3},{5}}=>{{1,4},{2,6},{3},{5}}=>{{1,6},{2,4},{3},{5}}
[5,2,3,6,1,4]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[5,2,3,6,4,1]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[5,2,4,1,3,6]=>[5,4,3,2,1,6]=>{{1,5},{2,4},{3},{6}}=>{{1,4},{2,5},{3},{6}}=>{{1,5},{2,4},{3},{6}}
[5,2,4,1,6,3]=>[6,4,3,2,5,1]=>{{1,6},{2,4},{3},{5}}=>{{1,4},{2,6},{3},{5}}=>{{1,6},{2,4},{3},{5}}
[5,2,4,3,1,6]=>[5,4,3,2,1,6]=>{{1,5},{2,4},{3},{6}}=>{{1,4},{2,5},{3},{6}}=>{{1,5},{2,4},{3},{6}}
[5,2,4,3,6,1]=>[6,4,3,2,5,1]=>{{1,6},{2,4},{3},{5}}=>{{1,4},{2,6},{3},{5}}=>{{1,6},{2,4},{3},{5}}
[5,2,4,6,1,3]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[5,2,4,6,3,1]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[5,2,6,1,3,4]=>[6,4,5,2,3,1]=>{{1,6},{2,4},{3,5}}=>{{1,5},{2,4},{3,6}}=>{{1,6},{2,4},{3,5}}
[5,2,6,1,4,3]=>[6,4,5,2,3,1]=>{{1,6},{2,4},{3,5}}=>{{1,5},{2,4},{3,6}}=>{{1,6},{2,4},{3,5}}
[5,2,6,3,1,4]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[5,2,6,3,4,1]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[5,2,6,4,1,3]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[5,2,6,4,3,1]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[5,3,1,2,4,6]=>[5,4,3,2,1,6]=>{{1,5},{2,4},{3},{6}}=>{{1,4},{2,5},{3},{6}}=>{{1,5},{2,4},{3},{6}}
[5,3,1,2,6,4]=>[6,4,3,2,5,1]=>{{1,6},{2,4},{3},{5}}=>{{1,4},{2,6},{3},{5}}=>{{1,6},{2,4},{3},{5}}
[5,3,1,4,2,6]=>[5,4,3,2,1,6]=>{{1,5},{2,4},{3},{6}}=>{{1,4},{2,5},{3},{6}}=>{{1,5},{2,4},{3},{6}}
[5,3,1,4,6,2]=>[6,4,3,2,5,1]=>{{1,6},{2,4},{3},{5}}=>{{1,4},{2,6},{3},{5}}=>{{1,6},{2,4},{3},{5}}
[5,3,1,6,2,4]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[5,3,1,6,4,2]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[5,3,2,1,4,6]=>[5,4,3,2,1,6]=>{{1,5},{2,4},{3},{6}}=>{{1,4},{2,5},{3},{6}}=>{{1,5},{2,4},{3},{6}}
[5,3,2,1,6,4]=>[6,4,3,2,5,1]=>{{1,6},{2,4},{3},{5}}=>{{1,4},{2,6},{3},{5}}=>{{1,6},{2,4},{3},{5}}
[5,3,2,4,1,6]=>[5,4,3,2,1,6]=>{{1,5},{2,4},{3},{6}}=>{{1,4},{2,5},{3},{6}}=>{{1,5},{2,4},{3},{6}}
[5,3,2,4,6,1]=>[6,4,3,2,5,1]=>{{1,6},{2,4},{3},{5}}=>{{1,4},{2,6},{3},{5}}=>{{1,6},{2,4},{3},{5}}
[5,3,2,6,1,4]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[5,3,2,6,4,1]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[5,3,4,1,2,6]=>[5,4,3,2,1,6]=>{{1,5},{2,4},{3},{6}}=>{{1,4},{2,5},{3},{6}}=>{{1,5},{2,4},{3},{6}}
[5,3,4,1,6,2]=>[6,4,3,2,5,1]=>{{1,6},{2,4},{3},{5}}=>{{1,4},{2,6},{3},{5}}=>{{1,6},{2,4},{3},{5}}
[5,3,4,2,1,6]=>[5,4,3,2,1,6]=>{{1,5},{2,4},{3},{6}}=>{{1,4},{2,5},{3},{6}}=>{{1,5},{2,4},{3},{6}}
[5,3,4,2,6,1]=>[6,4,3,2,5,1]=>{{1,6},{2,4},{3},{5}}=>{{1,4},{2,6},{3},{5}}=>{{1,6},{2,4},{3},{5}}
[5,3,4,6,1,2]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[5,3,4,6,2,1]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[5,3,6,1,2,4]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[5,3,6,1,4,2]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[5,3,6,2,1,4]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[5,3,6,2,4,1]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[5,3,6,4,1,2]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[5,3,6,4,2,1]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[5,4,1,2,3,6]=>[5,4,3,2,1,6]=>{{1,5},{2,4},{3},{6}}=>{{1,4},{2,5},{3},{6}}=>{{1,5},{2,4},{3},{6}}
[5,4,1,2,6,3]=>[6,4,3,2,5,1]=>{{1,6},{2,4},{3},{5}}=>{{1,4},{2,6},{3},{5}}=>{{1,6},{2,4},{3},{5}}
[5,4,1,3,2,6]=>[5,4,3,2,1,6]=>{{1,5},{2,4},{3},{6}}=>{{1,4},{2,5},{3},{6}}=>{{1,5},{2,4},{3},{6}}
[5,4,1,3,6,2]=>[6,4,3,2,5,1]=>{{1,6},{2,4},{3},{5}}=>{{1,4},{2,6},{3},{5}}=>{{1,6},{2,4},{3},{5}}
[5,4,1,6,2,3]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[5,4,1,6,3,2]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[5,4,2,1,3,6]=>[5,4,3,2,1,6]=>{{1,5},{2,4},{3},{6}}=>{{1,4},{2,5},{3},{6}}=>{{1,5},{2,4},{3},{6}}
[5,4,2,1,6,3]=>[6,4,3,2,5,1]=>{{1,6},{2,4},{3},{5}}=>{{1,4},{2,6},{3},{5}}=>{{1,6},{2,4},{3},{5}}
[5,4,2,3,1,6]=>[5,4,3,2,1,6]=>{{1,5},{2,4},{3},{6}}=>{{1,4},{2,5},{3},{6}}=>{{1,5},{2,4},{3},{6}}
[5,4,2,3,6,1]=>[6,4,3,2,5,1]=>{{1,6},{2,4},{3},{5}}=>{{1,4},{2,6},{3},{5}}=>{{1,6},{2,4},{3},{5}}
[5,4,2,6,1,3]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[5,4,2,6,3,1]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[5,4,3,1,2,6]=>[5,4,3,2,1,6]=>{{1,5},{2,4},{3},{6}}=>{{1,4},{2,5},{3},{6}}=>{{1,5},{2,4},{3},{6}}
[5,4,3,1,6,2]=>[6,4,3,2,5,1]=>{{1,6},{2,4},{3},{5}}=>{{1,4},{2,6},{3},{5}}=>{{1,6},{2,4},{3},{5}}
[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>{{1,5},{2,4},{3},{6}}=>{{1,4},{2,5},{3},{6}}=>{{1,5},{2,4},{3},{6}}
[5,4,3,2,6,1]=>[6,4,3,2,5,1]=>{{1,6},{2,4},{3},{5}}=>{{1,4},{2,6},{3},{5}}=>{{1,6},{2,4},{3},{5}}
[5,4,3,6,1,2]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[5,4,3,6,2,1]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[5,4,6,1,2,3]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[5,4,6,1,3,2]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[5,4,6,2,1,3]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[5,4,6,2,3,1]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[5,4,6,3,1,2]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[5,4,6,3,2,1]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[5,6,1,2,3,4]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[5,6,1,2,4,3]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[5,6,1,3,2,4]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[5,6,1,3,4,2]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[5,6,1,4,2,3]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[5,6,1,4,3,2]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[5,6,2,1,3,4]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[5,6,2,1,4,3]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[5,6,2,3,1,4]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[5,6,2,3,4,1]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[5,6,2,4,1,3]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[5,6,2,4,3,1]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[5,6,3,1,2,4]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[5,6,3,1,4,2]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[5,6,3,2,1,4]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[5,6,3,2,4,1]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[5,6,3,4,1,2]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[5,6,3,4,2,1]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[5,6,4,1,2,3]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[5,6,4,1,3,2]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[5,6,4,2,1,3]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[5,6,4,2,3,1]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[5,6,4,3,1,2]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[5,6,4,3,2,1]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[6,1,2,3,4,5]=>[6,2,3,4,5,1]=>{{1,6},{2},{3},{4},{5}}=>{{1,6},{2},{3},{4},{5}}=>{{1,6},{2},{3},{4},{5}}
[6,1,2,3,5,4]=>[6,2,3,4,5,1]=>{{1,6},{2},{3},{4},{5}}=>{{1,6},{2},{3},{4},{5}}=>{{1,6},{2},{3},{4},{5}}
[6,1,2,4,3,5]=>[6,2,3,5,4,1]=>{{1,6},{2},{3},{4,5}}=>{{1,5},{2},{3},{4,6}}=>{{1,6},{2},{3},{4,5}}
[6,1,2,4,5,3]=>[6,2,3,5,4,1]=>{{1,6},{2},{3},{4,5}}=>{{1,5},{2},{3},{4,6}}=>{{1,6},{2},{3},{4,5}}
[6,1,2,5,3,4]=>[6,2,3,5,4,1]=>{{1,6},{2},{3},{4,5}}=>{{1,5},{2},{3},{4,6}}=>{{1,6},{2},{3},{4,5}}
[6,1,2,5,4,3]=>[6,2,3,5,4,1]=>{{1,6},{2},{3},{4,5}}=>{{1,5},{2},{3},{4,6}}=>{{1,6},{2},{3},{4,5}}
[6,1,3,2,4,5]=>[6,2,4,3,5,1]=>{{1,6},{2},{3,4},{5}}=>{{1,4},{2},{3,6},{5}}=>{{1,6},{2},{3,4},{5}}
[6,1,3,2,5,4]=>[6,2,4,3,5,1]=>{{1,6},{2},{3,4},{5}}=>{{1,4},{2},{3,6},{5}}=>{{1,6},{2},{3,4},{5}}
[6,1,3,4,2,5]=>[6,2,5,4,3,1]=>{{1,6},{2},{3,5},{4}}=>{{1,5},{2},{3,6},{4}}=>{{1,6},{2},{3,5},{4}}
[6,1,3,4,5,2]=>[6,2,5,4,3,1]=>{{1,6},{2},{3,5},{4}}=>{{1,5},{2},{3,6},{4}}=>{{1,6},{2},{3,5},{4}}
[6,1,3,5,2,4]=>[6,2,5,4,3,1]=>{{1,6},{2},{3,5},{4}}=>{{1,5},{2},{3,6},{4}}=>{{1,6},{2},{3,5},{4}}
[6,1,3,5,4,2]=>[6,2,5,4,3,1]=>{{1,6},{2},{3,5},{4}}=>{{1,5},{2},{3,6},{4}}=>{{1,6},{2},{3,5},{4}}
[6,1,4,2,3,5]=>[6,2,5,4,3,1]=>{{1,6},{2},{3,5},{4}}=>{{1,5},{2},{3,6},{4}}=>{{1,6},{2},{3,5},{4}}
[6,1,4,2,5,3]=>[6,2,5,4,3,1]=>{{1,6},{2},{3,5},{4}}=>{{1,5},{2},{3,6},{4}}=>{{1,6},{2},{3,5},{4}}
[6,1,4,3,2,5]=>[6,2,5,4,3,1]=>{{1,6},{2},{3,5},{4}}=>{{1,5},{2},{3,6},{4}}=>{{1,6},{2},{3,5},{4}}
[6,1,4,3,5,2]=>[6,2,5,4,3,1]=>{{1,6},{2},{3,5},{4}}=>{{1,5},{2},{3,6},{4}}=>{{1,6},{2},{3,5},{4}}
[6,1,4,5,2,3]=>[6,2,5,4,3,1]=>{{1,6},{2},{3,5},{4}}=>{{1,5},{2},{3,6},{4}}=>{{1,6},{2},{3,5},{4}}
[6,1,4,5,3,2]=>[6,2,5,4,3,1]=>{{1,6},{2},{3,5},{4}}=>{{1,5},{2},{3,6},{4}}=>{{1,6},{2},{3,5},{4}}
[6,1,5,2,3,4]=>[6,2,5,4,3,1]=>{{1,6},{2},{3,5},{4}}=>{{1,5},{2},{3,6},{4}}=>{{1,6},{2},{3,5},{4}}
[6,1,5,2,4,3]=>[6,2,5,4,3,1]=>{{1,6},{2},{3,5},{4}}=>{{1,5},{2},{3,6},{4}}=>{{1,6},{2},{3,5},{4}}
[6,1,5,3,2,4]=>[6,2,5,4,3,1]=>{{1,6},{2},{3,5},{4}}=>{{1,5},{2},{3,6},{4}}=>{{1,6},{2},{3,5},{4}}
[6,1,5,3,4,2]=>[6,2,5,4,3,1]=>{{1,6},{2},{3,5},{4}}=>{{1,5},{2},{3,6},{4}}=>{{1,6},{2},{3,5},{4}}
[6,1,5,4,2,3]=>[6,2,5,4,3,1]=>{{1,6},{2},{3,5},{4}}=>{{1,5},{2},{3,6},{4}}=>{{1,6},{2},{3,5},{4}}
[6,1,5,4,3,2]=>[6,2,5,4,3,1]=>{{1,6},{2},{3,5},{4}}=>{{1,5},{2},{3,6},{4}}=>{{1,6},{2},{3,5},{4}}
[6,2,1,3,4,5]=>[6,3,2,4,5,1]=>{{1,6},{2,3},{4},{5}}=>{{1,3},{2,6},{4},{5}}=>{{1,6},{2,3},{4},{5}}
[6,2,1,3,5,4]=>[6,3,2,4,5,1]=>{{1,6},{2,3},{4},{5}}=>{{1,3},{2,6},{4},{5}}=>{{1,6},{2,3},{4},{5}}
[6,2,1,4,3,5]=>[6,3,2,5,4,1]=>{{1,6},{2,3},{4,5}}=>{{1,3},{2,5},{4,6}}=>{{1,6},{2,3},{4,5}}
[6,2,1,4,5,3]=>[6,3,2,5,4,1]=>{{1,6},{2,3},{4,5}}=>{{1,3},{2,5},{4,6}}=>{{1,6},{2,3},{4,5}}
[6,2,1,5,3,4]=>[6,3,2,5,4,1]=>{{1,6},{2,3},{4,5}}=>{{1,3},{2,5},{4,6}}=>{{1,6},{2,3},{4,5}}
[6,2,1,5,4,3]=>[6,3,2,5,4,1]=>{{1,6},{2,3},{4,5}}=>{{1,3},{2,5},{4,6}}=>{{1,6},{2,3},{4,5}}
[6,2,3,1,4,5]=>[6,4,3,2,5,1]=>{{1,6},{2,4},{3},{5}}=>{{1,4},{2,6},{3},{5}}=>{{1,6},{2,4},{3},{5}}
[6,2,3,1,5,4]=>[6,4,3,2,5,1]=>{{1,6},{2,4},{3},{5}}=>{{1,4},{2,6},{3},{5}}=>{{1,6},{2,4},{3},{5}}
[6,2,3,4,1,5]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[6,2,3,4,5,1]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[6,2,3,5,1,4]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[6,2,3,5,4,1]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[6,2,4,1,3,5]=>[6,4,5,2,3,1]=>{{1,6},{2,4},{3,5}}=>{{1,5},{2,4},{3,6}}=>{{1,6},{2,4},{3,5}}
[6,2,4,1,5,3]=>[6,4,5,2,3,1]=>{{1,6},{2,4},{3,5}}=>{{1,5},{2,4},{3,6}}=>{{1,6},{2,4},{3,5}}
[6,2,4,3,1,5]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[6,2,4,3,5,1]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[6,2,4,5,1,3]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[6,2,4,5,3,1]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[6,2,5,1,3,4]=>[6,4,5,2,3,1]=>{{1,6},{2,4},{3,5}}=>{{1,5},{2,4},{3,6}}=>{{1,6},{2,4},{3,5}}
[6,2,5,1,4,3]=>[6,4,5,2,3,1]=>{{1,6},{2,4},{3,5}}=>{{1,5},{2,4},{3,6}}=>{{1,6},{2,4},{3,5}}
[6,2,5,3,1,4]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[6,2,5,3,4,1]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[6,2,5,4,1,3]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[6,2,5,4,3,1]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[6,3,1,2,4,5]=>[6,4,3,2,5,1]=>{{1,6},{2,4},{3},{5}}=>{{1,4},{2,6},{3},{5}}=>{{1,6},{2,4},{3},{5}}
[6,3,1,2,5,4]=>[6,4,3,2,5,1]=>{{1,6},{2,4},{3},{5}}=>{{1,4},{2,6},{3},{5}}=>{{1,6},{2,4},{3},{5}}
[6,3,1,4,2,5]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[6,3,1,4,5,2]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[6,3,1,5,2,4]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[6,3,1,5,4,2]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[6,3,2,1,4,5]=>[6,4,3,2,5,1]=>{{1,6},{2,4},{3},{5}}=>{{1,4},{2,6},{3},{5}}=>{{1,6},{2,4},{3},{5}}
[6,3,2,1,5,4]=>[6,4,3,2,5,1]=>{{1,6},{2,4},{3},{5}}=>{{1,4},{2,6},{3},{5}}=>{{1,6},{2,4},{3},{5}}
[6,3,2,4,1,5]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[6,3,2,4,5,1]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[6,3,2,5,1,4]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[6,3,2,5,4,1]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[6,3,4,1,2,5]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[6,3,4,1,5,2]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[6,3,4,2,1,5]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[6,3,4,2,5,1]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[6,3,4,5,1,2]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[6,3,4,5,2,1]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[6,3,5,1,2,4]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[6,3,5,1,4,2]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[6,3,5,2,1,4]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[6,3,5,2,4,1]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[6,3,5,4,1,2]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[6,3,5,4,2,1]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[6,4,1,2,3,5]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[6,4,1,2,5,3]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[6,4,1,3,2,5]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[6,4,1,3,5,2]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[6,4,1,5,2,3]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[6,4,1,5,3,2]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[6,4,2,1,3,5]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[6,4,2,1,5,3]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[6,4,2,3,1,5]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[6,4,2,3,5,1]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[6,4,2,5,1,3]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[6,4,2,5,3,1]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[6,4,3,1,2,5]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[6,4,3,1,5,2]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[6,4,3,2,1,5]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[6,4,3,2,5,1]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[6,4,3,5,1,2]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[6,4,3,5,2,1]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[6,4,5,1,2,3]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[6,4,5,1,3,2]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[6,4,5,2,1,3]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[6,4,5,2,3,1]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[6,4,5,3,1,2]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[6,4,5,3,2,1]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[6,5,1,2,3,4]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[6,5,1,2,4,3]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[6,5,1,3,2,4]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[6,5,1,3,4,2]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[6,5,1,4,2,3]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[6,5,1,4,3,2]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[6,5,2,1,3,4]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[6,5,2,1,4,3]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[6,5,2,3,1,4]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[6,5,2,3,4,1]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[6,5,2,4,1,3]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[6,5,2,4,3,1]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[6,5,3,1,2,4]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[6,5,3,1,4,2]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[6,5,3,2,1,4]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[6,5,3,2,4,1]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[6,5,3,4,1,2]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[6,5,4,1,2,3]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[6,5,4,1,3,2]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[6,5,4,2,1,3]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[6,5,4,2,3,1]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[6,5,4,3,1,2]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>{{1},{2},{3},{4},{5},{6,7}}=>{{1},{2},{3},{4},{5},{6,7}}=>{{1},{2},{3},{4},{5},{6,7}}
[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>{{1},{2},{3},{4},{5,6},{7}}=>{{1},{2},{3},{4},{5,6},{7}}=>{{1},{2},{3},{4},{5,6},{7}}
[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>{{1},{2},{3},{4},{5,7},{6}}=>{{1},{2},{3},{4},{5,7},{6}}=>{{1},{2},{3},{4},{5,7},{6}}
[1,2,3,4,7,5,6]=>[1,2,3,4,7,6,5]=>{{1},{2},{3},{4},{5,7},{6}}=>{{1},{2},{3},{4},{5,7},{6}}=>{{1},{2},{3},{4},{5,7},{6}}
[1,2,3,4,7,6,5]=>[1,2,3,4,7,6,5]=>{{1},{2},{3},{4},{5,7},{6}}=>{{1},{2},{3},{4},{5,7},{6}}=>{{1},{2},{3},{4},{5,7},{6}}
[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>{{1},{2},{3},{4,5},{6},{7}}=>{{1},{2},{3},{4,5},{6},{7}}=>{{1},{2},{3},{4,5},{6},{7}}
[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>{{1},{2},{3},{4,5},{6,7}}=>{{1},{2},{3},{4,5},{6,7}}=>{{1},{2},{3},{4,5},{6,7}}
[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>{{1},{2},{3},{4,6},{5},{7}}=>{{1},{2},{3},{4,6},{5},{7}}=>{{1},{2},{3},{4,6},{5},{7}}
[1,2,3,5,6,7,4]=>[1,2,3,7,5,6,4]=>{{1},{2},{3},{4,7},{5},{6}}=>{{1},{2},{3},{4,7},{5},{6}}=>{{1},{2},{3},{4,7},{5},{6}}
[1,2,3,5,7,4,6]=>[1,2,3,6,7,4,5]=>{{1},{2},{3},{4,6},{5,7}}=>{{1},{2},{3},{4,7},{5,6}}=>{{1},{2},{3},{4,6},{5,7}}
[1,2,3,5,7,6,4]=>[1,2,3,7,6,5,4]=>{{1},{2},{3},{4,7},{5,6}}=>{{1},{2},{3},{4,6},{5,7}}=>{{1},{2},{3},{4,7},{5,6}}
[1,2,3,6,4,5,7]=>[1,2,3,6,5,4,7]=>{{1},{2},{3},{4,6},{5},{7}}=>{{1},{2},{3},{4,6},{5},{7}}=>{{1},{2},{3},{4,6},{5},{7}}
[1,2,3,6,4,7,5]=>[1,2,3,7,5,6,4]=>{{1},{2},{3},{4,7},{5},{6}}=>{{1},{2},{3},{4,7},{5},{6}}=>{{1},{2},{3},{4,7},{5},{6}}
[1,2,3,6,5,4,7]=>[1,2,3,6,5,4,7]=>{{1},{2},{3},{4,6},{5},{7}}=>{{1},{2},{3},{4,6},{5},{7}}=>{{1},{2},{3},{4,6},{5},{7}}
[1,2,3,6,5,7,4]=>[1,2,3,7,5,6,4]=>{{1},{2},{3},{4,7},{5},{6}}=>{{1},{2},{3},{4,7},{5},{6}}=>{{1},{2},{3},{4,7},{5},{6}}
[1,2,3,6,7,4,5]=>[1,2,3,7,6,5,4]=>{{1},{2},{3},{4,7},{5,6}}=>{{1},{2},{3},{4,6},{5,7}}=>{{1},{2},{3},{4,7},{5,6}}
[1,2,3,6,7,5,4]=>[1,2,3,7,6,5,4]=>{{1},{2},{3},{4,7},{5,6}}=>{{1},{2},{3},{4,6},{5,7}}=>{{1},{2},{3},{4,7},{5,6}}
[1,2,3,7,4,5,6]=>[1,2,3,7,5,6,4]=>{{1},{2},{3},{4,7},{5},{6}}=>{{1},{2},{3},{4,7},{5},{6}}=>{{1},{2},{3},{4,7},{5},{6}}
[1,2,3,7,4,6,5]=>[1,2,3,7,5,6,4]=>{{1},{2},{3},{4,7},{5},{6}}=>{{1},{2},{3},{4,7},{5},{6}}=>{{1},{2},{3},{4,7},{5},{6}}
[1,2,3,7,5,4,6]=>[1,2,3,7,6,5,4]=>{{1},{2},{3},{4,7},{5,6}}=>{{1},{2},{3},{4,6},{5,7}}=>{{1},{2},{3},{4,7},{5,6}}
[1,2,3,7,5,6,4]=>[1,2,3,7,6,5,4]=>{{1},{2},{3},{4,7},{5,6}}=>{{1},{2},{3},{4,6},{5,7}}=>{{1},{2},{3},{4,7},{5,6}}
[1,2,3,7,6,4,5]=>[1,2,3,7,6,5,4]=>{{1},{2},{3},{4,7},{5,6}}=>{{1},{2},{3},{4,6},{5,7}}=>{{1},{2},{3},{4,7},{5,6}}
[1,2,3,7,6,5,4]=>[1,2,3,7,6,5,4]=>{{1},{2},{3},{4,7},{5,6}}=>{{1},{2},{3},{4,6},{5,7}}=>{{1},{2},{3},{4,7},{5,6}}
[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>{{1},{2},{3,4},{5},{6},{7}}=>{{1},{2},{3,4},{5},{6},{7}}=>{{1},{2},{3,4},{5},{6},{7}}
[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>{{1},{2},{3,4},{5},{6,7}}=>{{1},{2},{3,4},{5},{6,7}}=>{{1},{2},{3,4},{5},{6,7}}
[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>{{1},{2},{3,4},{5,6},{7}}=>{{1},{2},{3,4},{5,6},{7}}=>{{1},{2},{3,4},{5,6},{7}}
[1,2,4,3,6,7,5]=>[1,2,4,3,7,6,5]=>{{1},{2},{3,4},{5,7},{6}}=>{{1},{2},{3,4},{5,7},{6}}=>{{1},{2},{3,4},{5,7},{6}}
[1,2,4,3,7,5,6]=>[1,2,4,3,7,6,5]=>{{1},{2},{3,4},{5,7},{6}}=>{{1},{2},{3,4},{5,7},{6}}=>{{1},{2},{3,4},{5,7},{6}}
[1,2,4,3,7,6,5]=>[1,2,4,3,7,6,5]=>{{1},{2},{3,4},{5,7},{6}}=>{{1},{2},{3,4},{5,7},{6}}=>{{1},{2},{3,4},{5,7},{6}}
[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>{{1},{2},{3,5},{4},{6},{7}}=>{{1},{2},{3,5},{4},{6},{7}}=>{{1},{2},{3,5},{4},{6},{7}}
[1,2,4,5,3,7,6]=>[1,2,5,4,3,7,6]=>{{1},{2},{3,5},{4},{6,7}}=>{{1},{2},{3,5},{4},{6,7}}=>{{1},{2},{3,5},{4},{6,7}}
[1,2,4,5,6,3,7]=>[1,2,6,4,5,3,7]=>{{1},{2},{3,6},{4},{5},{7}}=>{{1},{2},{3,6},{4},{5},{7}}=>{{1},{2},{3,6},{4},{5},{7}}
[1,2,4,5,6,7,3]=>[1,2,7,4,5,6,3]=>{{1},{2},{3,7},{4},{5},{6}}=>{{1},{2},{3,7},{4},{5},{6}}=>{{1},{2},{3,7},{4},{5},{6}}
[1,2,4,5,7,3,6]=>[1,2,6,4,7,3,5]=>{{1},{2},{3,6},{4},{5,7}}=>{{1},{2},{3,7},{4},{5,6}}=>{{1},{2},{3,6},{4},{5,7}}
[1,2,4,5,7,6,3]=>[1,2,7,4,6,5,3]=>{{1},{2},{3,7},{4},{5,6}}=>{{1},{2},{3,6},{4},{5,7}}=>{{1},{2},{3,7},{4},{5,6}}
[1,2,4,6,3,5,7]=>[1,2,5,6,3,4,7]=>{{1},{2},{3,5},{4,6},{7}}=>{{1},{2},{3,6},{4,5},{7}}=>{{1},{2},{3,5},{4,6},{7}}
[1,2,4,6,3,7,5]=>[1,2,5,7,3,6,4]=>{{1},{2},{3,5},{4,7},{6}}=>{{1},{2},{3,7},{4,5},{6}}=>{{1},{2},{3,5},{4,7},{6}}
[1,2,4,6,5,3,7]=>[1,2,6,5,4,3,7]=>{{1},{2},{3,6},{4,5},{7}}=>{{1},{2},{3,5},{4,6},{7}}=>{{1},{2},{3,6},{4,5},{7}}
[1,2,4,6,5,7,3]=>[1,2,7,5,4,6,3]=>{{1},{2},{3,7},{4,5},{6}}=>{{1},{2},{3,5},{4,7},{6}}=>{{1},{2},{3,7},{4,5},{6}}
[1,2,4,6,7,3,5]=>[1,2,6,7,5,3,4]=>{{1},{2},{3,6},{4,7},{5}}=>{{1},{2},{3,7},{4,6},{5}}=>{{1},{2},{3,6},{4,7},{5}}
[1,2,4,6,7,5,3]=>[1,2,7,6,5,4,3]=>{{1},{2},{3,7},{4,6},{5}}=>{{1},{2},{3,6},{4,7},{5}}=>{{1},{2},{3,7},{4,6},{5}}
[1,2,4,7,3,5,6]=>[1,2,5,7,3,6,4]=>{{1},{2},{3,5},{4,7},{6}}=>{{1},{2},{3,7},{4,5},{6}}=>{{1},{2},{3,5},{4,7},{6}}
[1,2,4,7,3,6,5]=>[1,2,5,7,3,6,4]=>{{1},{2},{3,5},{4,7},{6}}=>{{1},{2},{3,7},{4,5},{6}}=>{{1},{2},{3,5},{4,7},{6}}
[1,2,4,7,5,3,6]=>[1,2,6,7,5,3,4]=>{{1},{2},{3,6},{4,7},{5}}=>{{1},{2},{3,7},{4,6},{5}}=>{{1},{2},{3,6},{4,7},{5}}
[1,2,4,7,5,6,3]=>[1,2,7,6,5,4,3]=>{{1},{2},{3,7},{4,6},{5}}=>{{1},{2},{3,6},{4,7},{5}}=>{{1},{2},{3,7},{4,6},{5}}
[1,2,4,7,6,3,5]=>[1,2,6,7,5,3,4]=>{{1},{2},{3,6},{4,7},{5}}=>{{1},{2},{3,7},{4,6},{5}}=>{{1},{2},{3,6},{4,7},{5}}
[1,2,4,7,6,5,3]=>[1,2,7,6,5,4,3]=>{{1},{2},{3,7},{4,6},{5}}=>{{1},{2},{3,6},{4,7},{5}}=>{{1},{2},{3,7},{4,6},{5}}
[1,2,5,3,4,6,7]=>[1,2,5,4,3,6,7]=>{{1},{2},{3,5},{4},{6},{7}}=>{{1},{2},{3,5},{4},{6},{7}}=>{{1},{2},{3,5},{4},{6},{7}}
[1,2,5,3,4,7,6]=>[1,2,5,4,3,7,6]=>{{1},{2},{3,5},{4},{6,7}}=>{{1},{2},{3,5},{4},{6,7}}=>{{1},{2},{3,5},{4},{6,7}}
[1,2,5,3,6,4,7]=>[1,2,6,4,5,3,7]=>{{1},{2},{3,6},{4},{5},{7}}=>{{1},{2},{3,6},{4},{5},{7}}=>{{1},{2},{3,6},{4},{5},{7}}
[1,2,5,3,6,7,4]=>[1,2,7,4,5,6,3]=>{{1},{2},{3,7},{4},{5},{6}}=>{{1},{2},{3,7},{4},{5},{6}}=>{{1},{2},{3,7},{4},{5},{6}}
[1,2,5,3,7,4,6]=>[1,2,6,4,7,3,5]=>{{1},{2},{3,6},{4},{5,7}}=>{{1},{2},{3,7},{4},{5,6}}=>{{1},{2},{3,6},{4},{5,7}}
[1,2,5,3,7,6,4]=>[1,2,7,4,6,5,3]=>{{1},{2},{3,7},{4},{5,6}}=>{{1},{2},{3,6},{4},{5,7}}=>{{1},{2},{3,7},{4},{5,6}}
[1,2,5,4,3,6,7]=>[1,2,5,4,3,6,7]=>{{1},{2},{3,5},{4},{6},{7}}=>{{1},{2},{3,5},{4},{6},{7}}=>{{1},{2},{3,5},{4},{6},{7}}
[1,2,5,4,3,7,6]=>[1,2,5,4,3,7,6]=>{{1},{2},{3,5},{4},{6,7}}=>{{1},{2},{3,5},{4},{6,7}}=>{{1},{2},{3,5},{4},{6,7}}
[1,2,5,4,6,3,7]=>[1,2,6,4,5,3,7]=>{{1},{2},{3,6},{4},{5},{7}}=>{{1},{2},{3,6},{4},{5},{7}}=>{{1},{2},{3,6},{4},{5},{7}}
[1,2,5,4,6,7,3]=>[1,2,7,4,5,6,3]=>{{1},{2},{3,7},{4},{5},{6}}=>{{1},{2},{3,7},{4},{5},{6}}=>{{1},{2},{3,7},{4},{5},{6}}
[1,2,5,4,7,3,6]=>[1,2,6,4,7,3,5]=>{{1},{2},{3,6},{4},{5,7}}=>{{1},{2},{3,7},{4},{5,6}}=>{{1},{2},{3,6},{4},{5,7}}
[1,2,5,4,7,6,3]=>[1,2,7,4,6,5,3]=>{{1},{2},{3,7},{4},{5,6}}=>{{1},{2},{3,6},{4},{5,7}}=>{{1},{2},{3,7},{4},{5,6}}
[1,2,5,6,3,4,7]=>[1,2,6,5,4,3,7]=>{{1},{2},{3,6},{4,5},{7}}=>{{1},{2},{3,5},{4,6},{7}}=>{{1},{2},{3,6},{4,5},{7}}
[1,2,5,6,3,7,4]=>[1,2,7,5,4,6,3]=>{{1},{2},{3,7},{4,5},{6}}=>{{1},{2},{3,5},{4,7},{6}}=>{{1},{2},{3,7},{4,5},{6}}
[1,2,5,6,4,3,7]=>[1,2,6,5,4,3,7]=>{{1},{2},{3,6},{4,5},{7}}=>{{1},{2},{3,5},{4,6},{7}}=>{{1},{2},{3,6},{4,5},{7}}
[1,2,5,6,4,7,3]=>[1,2,7,5,4,6,3]=>{{1},{2},{3,7},{4,5},{6}}=>{{1},{2},{3,5},{4,7},{6}}=>{{1},{2},{3,7},{4,5},{6}}
[1,2,5,6,7,3,4]=>[1,2,7,6,5,4,3]=>{{1},{2},{3,7},{4,6},{5}}=>{{1},{2},{3,6},{4,7},{5}}=>{{1},{2},{3,7},{4,6},{5}}
[1,2,5,6,7,4,3]=>[1,2,7,6,5,4,3]=>{{1},{2},{3,7},{4,6},{5}}=>{{1},{2},{3,6},{4,7},{5}}=>{{1},{2},{3,7},{4,6},{5}}
[1,2,5,7,3,4,6]=>[1,2,6,7,5,3,4]=>{{1},{2},{3,6},{4,7},{5}}=>{{1},{2},{3,7},{4,6},{5}}=>{{1},{2},{3,6},{4,7},{5}}
[1,2,5,7,3,6,4]=>[1,2,7,6,5,4,3]=>{{1},{2},{3,7},{4,6},{5}}=>{{1},{2},{3,6},{4,7},{5}}=>{{1},{2},{3,7},{4,6},{5}}
[1,2,5,7,4,3,6]=>[1,2,6,7,5,3,4]=>{{1},{2},{3,6},{4,7},{5}}=>{{1},{2},{3,7},{4,6},{5}}=>{{1},{2},{3,6},{4,7},{5}}
[1,2,5,7,4,6,3]=>[1,2,7,6,5,4,3]=>{{1},{2},{3,7},{4,6},{5}}=>{{1},{2},{3,6},{4,7},{5}}=>{{1},{2},{3,7},{4,6},{5}}
[1,2,5,7,6,3,4]=>[1,2,7,6,5,4,3]=>{{1},{2},{3,7},{4,6},{5}}=>{{1},{2},{3,6},{4,7},{5}}=>{{1},{2},{3,7},{4,6},{5}}
[1,2,5,7,6,4,3]=>[1,2,7,6,5,4,3]=>{{1},{2},{3,7},{4,6},{5}}=>{{1},{2},{3,6},{4,7},{5}}=>{{1},{2},{3,7},{4,6},{5}}
[1,2,6,3,4,5,7]=>[1,2,6,4,5,3,7]=>{{1},{2},{3,6},{4},{5},{7}}=>{{1},{2},{3,6},{4},{5},{7}}=>{{1},{2},{3,6},{4},{5},{7}}
[1,2,6,3,4,7,5]=>[1,2,7,4,5,6,3]=>{{1},{2},{3,7},{4},{5},{6}}=>{{1},{2},{3,7},{4},{5},{6}}=>{{1},{2},{3,7},{4},{5},{6}}
[1,2,6,3,5,4,7]=>[1,2,6,4,5,3,7]=>{{1},{2},{3,6},{4},{5},{7}}=>{{1},{2},{3,6},{4},{5},{7}}=>{{1},{2},{3,6},{4},{5},{7}}
[1,2,6,3,5,7,4]=>[1,2,7,4,5,6,3]=>{{1},{2},{3,7},{4},{5},{6}}=>{{1},{2},{3,7},{4},{5},{6}}=>{{1},{2},{3,7},{4},{5},{6}}
[1,2,6,3,7,4,5]=>[1,2,7,4,6,5,3]=>{{1},{2},{3,7},{4},{5,6}}=>{{1},{2},{3,6},{4},{5,7}}=>{{1},{2},{3,7},{4},{5,6}}
[1,2,6,3,7,5,4]=>[1,2,7,4,6,5,3]=>{{1},{2},{3,7},{4},{5,6}}=>{{1},{2},{3,6},{4},{5,7}}=>{{1},{2},{3,7},{4},{5,6}}
[1,2,6,4,3,5,7]=>[1,2,6,5,4,3,7]=>{{1},{2},{3,6},{4,5},{7}}=>{{1},{2},{3,5},{4,6},{7}}=>{{1},{2},{3,6},{4,5},{7}}
[1,2,6,4,3,7,5]=>[1,2,7,5,4,6,3]=>{{1},{2},{3,7},{4,5},{6}}=>{{1},{2},{3,5},{4,7},{6}}=>{{1},{2},{3,7},{4,5},{6}}
[1,2,6,4,5,3,7]=>[1,2,6,5,4,3,7]=>{{1},{2},{3,6},{4,5},{7}}=>{{1},{2},{3,5},{4,6},{7}}=>{{1},{2},{3,6},{4,5},{7}}
[1,2,6,4,5,7,3]=>[1,2,7,5,4,6,3]=>{{1},{2},{3,7},{4,5},{6}}=>{{1},{2},{3,5},{4,7},{6}}=>{{1},{2},{3,7},{4,5},{6}}
[1,2,6,4,7,3,5]=>[1,2,7,6,5,4,3]=>{{1},{2},{3,7},{4,6},{5}}=>{{1},{2},{3,6},{4,7},{5}}=>{{1},{2},{3,7},{4,6},{5}}
[1,2,6,4,7,5,3]=>[1,2,7,6,5,4,3]=>{{1},{2},{3,7},{4,6},{5}}=>{{1},{2},{3,6},{4,7},{5}}=>{{1},{2},{3,7},{4,6},{5}}
[1,2,6,5,3,4,7]=>[1,2,6,5,4,3,7]=>{{1},{2},{3,6},{4,5},{7}}=>{{1},{2},{3,5},{4,6},{7}}=>{{1},{2},{3,6},{4,5},{7}}
[1,2,6,5,3,7,4]=>[1,2,7,5,4,6,3]=>{{1},{2},{3,7},{4,5},{6}}=>{{1},{2},{3,5},{4,7},{6}}=>{{1},{2},{3,7},{4,5},{6}}
[1,2,6,5,4,3,7]=>[1,2,6,5,4,3,7]=>{{1},{2},{3,6},{4,5},{7}}=>{{1},{2},{3,5},{4,6},{7}}=>{{1},{2},{3,6},{4,5},{7}}
[1,2,6,5,4,7,3]=>[1,2,7,5,4,6,3]=>{{1},{2},{3,7},{4,5},{6}}=>{{1},{2},{3,5},{4,7},{6}}=>{{1},{2},{3,7},{4,5},{6}}
[1,2,6,5,7,3,4]=>[1,2,7,6,5,4,3]=>{{1},{2},{3,7},{4,6},{5}}=>{{1},{2},{3,6},{4,7},{5}}=>{{1},{2},{3,7},{4,6},{5}}
[1,2,6,5,7,4,3]=>[1,2,7,6,5,4,3]=>{{1},{2},{3,7},{4,6},{5}}=>{{1},{2},{3,6},{4,7},{5}}=>{{1},{2},{3,7},{4,6},{5}}
[1,2,6,7,3,4,5]=>[1,2,7,6,5,4,3]=>{{1},{2},{3,7},{4,6},{5}}=>{{1},{2},{3,6},{4,7},{5}}=>{{1},{2},{3,7},{4,6},{5}}
[1,2,6,7,3,5,4]=>[1,2,7,6,5,4,3]=>{{1},{2},{3,7},{4,6},{5}}=>{{1},{2},{3,6},{4,7},{5}}=>{{1},{2},{3,7},{4,6},{5}}
[1,2,6,7,4,3,5]=>[1,2,7,6,5,4,3]=>{{1},{2},{3,7},{4,6},{5}}=>{{1},{2},{3,6},{4,7},{5}}=>{{1},{2},{3,7},{4,6},{5}}
[1,2,6,7,4,5,3]=>[1,2,7,6,5,4,3]=>{{1},{2},{3,7},{4,6},{5}}=>{{1},{2},{3,6},{4,7},{5}}=>{{1},{2},{3,7},{4,6},{5}}
[1,2,6,7,5,3,4]=>[1,2,7,6,5,4,3]=>{{1},{2},{3,7},{4,6},{5}}=>{{1},{2},{3,6},{4,7},{5}}=>{{1},{2},{3,7},{4,6},{5}}
[1,2,6,7,5,4,3]=>[1,2,7,6,5,4,3]=>{{1},{2},{3,7},{4,6},{5}}=>{{1},{2},{3,6},{4,7},{5}}=>{{1},{2},{3,7},{4,6},{5}}
[1,2,7,3,4,5,6]=>[1,2,7,4,5,6,3]=>{{1},{2},{3,7},{4},{5},{6}}=>{{1},{2},{3,7},{4},{5},{6}}=>{{1},{2},{3,7},{4},{5},{6}}
[1,2,7,3,4,6,5]=>[1,2,7,4,5,6,3]=>{{1},{2},{3,7},{4},{5},{6}}=>{{1},{2},{3,7},{4},{5},{6}}=>{{1},{2},{3,7},{4},{5},{6}}
[1,2,7,3,5,4,6]=>[1,2,7,4,6,5,3]=>{{1},{2},{3,7},{4},{5,6}}=>{{1},{2},{3,6},{4},{5,7}}=>{{1},{2},{3,7},{4},{5,6}}
[1,2,7,3,5,6,4]=>[1,2,7,4,6,5,3]=>{{1},{2},{3,7},{4},{5,6}}=>{{1},{2},{3,6},{4},{5,7}}=>{{1},{2},{3,7},{4},{5,6}}
[1,2,7,3,6,4,5]=>[1,2,7,4,6,5,3]=>{{1},{2},{3,7},{4},{5,6}}=>{{1},{2},{3,6},{4},{5,7}}=>{{1},{2},{3,7},{4},{5,6}}
[1,2,7,3,6,5,4]=>[1,2,7,4,6,5,3]=>{{1},{2},{3,7},{4},{5,6}}=>{{1},{2},{3,6},{4},{5,7}}=>{{1},{2},{3,7},{4},{5,6}}
[1,2,7,4,3,5,6]=>[1,2,7,5,4,6,3]=>{{1},{2},{3,7},{4,5},{6}}=>{{1},{2},{3,5},{4,7},{6}}=>{{1},{2},{3,7},{4,5},{6}}
[1,2,7,4,3,6,5]=>[1,2,7,5,4,6,3]=>{{1},{2},{3,7},{4,5},{6}}=>{{1},{2},{3,5},{4,7},{6}}=>{{1},{2},{3,7},{4,5},{6}}
[1,2,7,4,5,3,6]=>[1,2,7,6,5,4,3]=>{{1},{2},{3,7},{4,6},{5}}=>{{1},{2},{3,6},{4,7},{5}}=>{{1},{2},{3,7},{4,6},{5}}
[1,2,7,4,5,6,3]=>[1,2,7,6,5,4,3]=>{{1},{2},{3,7},{4,6},{5}}=>{{1},{2},{3,6},{4,7},{5}}=>{{1},{2},{3,7},{4,6},{5}}
[1,2,7,4,6,3,5]=>[1,2,7,6,5,4,3]=>{{1},{2},{3,7},{4,6},{5}}=>{{1},{2},{3,6},{4,7},{5}}=>{{1},{2},{3,7},{4,6},{5}}
[1,2,7,4,6,5,3]=>[1,2,7,6,5,4,3]=>{{1},{2},{3,7},{4,6},{5}}=>{{1},{2},{3,6},{4,7},{5}}=>{{1},{2},{3,7},{4,6},{5}}
[1,2,7,5,3,4,6]=>[1,2,7,6,5,4,3]=>{{1},{2},{3,7},{4,6},{5}}=>{{1},{2},{3,6},{4,7},{5}}=>{{1},{2},{3,7},{4,6},{5}}
[1,2,7,5,3,6,4]=>[1,2,7,6,5,4,3]=>{{1},{2},{3,7},{4,6},{5}}=>{{1},{2},{3,6},{4,7},{5}}=>{{1},{2},{3,7},{4,6},{5}}
[1,2,7,5,4,3,6]=>[1,2,7,6,5,4,3]=>{{1},{2},{3,7},{4,6},{5}}=>{{1},{2},{3,6},{4,7},{5}}=>{{1},{2},{3,7},{4,6},{5}}
[1,2,7,5,4,6,3]=>[1,2,7,6,5,4,3]=>{{1},{2},{3,7},{4,6},{5}}=>{{1},{2},{3,6},{4,7},{5}}=>{{1},{2},{3,7},{4,6},{5}}
[1,2,7,5,6,3,4]=>[1,2,7,6,5,4,3]=>{{1},{2},{3,7},{4,6},{5}}=>{{1},{2},{3,6},{4,7},{5}}=>{{1},{2},{3,7},{4,6},{5}}
[1,2,7,5,6,4,3]=>[1,2,7,6,5,4,3]=>{{1},{2},{3,7},{4,6},{5}}=>{{1},{2},{3,6},{4,7},{5}}=>{{1},{2},{3,7},{4,6},{5}}
[1,2,7,6,3,4,5]=>[1,2,7,6,5,4,3]=>{{1},{2},{3,7},{4,6},{5}}=>{{1},{2},{3,6},{4,7},{5}}=>{{1},{2},{3,7},{4,6},{5}}
[1,2,7,6,3,5,4]=>[1,2,7,6,5,4,3]=>{{1},{2},{3,7},{4,6},{5}}=>{{1},{2},{3,6},{4,7},{5}}=>{{1},{2},{3,7},{4,6},{5}}
[1,2,7,6,4,3,5]=>[1,2,7,6,5,4,3]=>{{1},{2},{3,7},{4,6},{5}}=>{{1},{2},{3,6},{4,7},{5}}=>{{1},{2},{3,7},{4,6},{5}}
[1,2,7,6,4,5,3]=>[1,2,7,6,5,4,3]=>{{1},{2},{3,7},{4,6},{5}}=>{{1},{2},{3,6},{4,7},{5}}=>{{1},{2},{3,7},{4,6},{5}}
[1,2,7,6,5,3,4]=>[1,2,7,6,5,4,3]=>{{1},{2},{3,7},{4,6},{5}}=>{{1},{2},{3,6},{4,7},{5}}=>{{1},{2},{3,7},{4,6},{5}}
[1,2,7,6,5,4,3]=>[1,2,7,6,5,4,3]=>{{1},{2},{3,7},{4,6},{5}}=>{{1},{2},{3,6},{4,7},{5}}=>{{1},{2},{3,7},{4,6},{5}}
[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>{{1},{2,3},{4},{5},{6},{7}}=>{{1},{2,3},{4},{5},{6},{7}}=>{{1},{2,3},{4},{5},{6},{7}}
[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>{{1},{2,3},{4},{5},{6,7}}=>{{1},{2,3},{4},{5},{6,7}}=>{{1},{2,3},{4},{5},{6,7}}
[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>{{1},{2,3},{4},{5,6},{7}}=>{{1},{2,3},{4},{5,6},{7}}=>{{1},{2,3},{4},{5,6},{7}}
[1,3,2,4,6,7,5]=>[1,3,2,4,7,6,5]=>{{1},{2,3},{4},{5,7},{6}}=>{{1},{2,3},{4},{5,7},{6}}=>{{1},{2,3},{4},{5,7},{6}}
[1,3,2,4,7,5,6]=>[1,3,2,4,7,6,5]=>{{1},{2,3},{4},{5,7},{6}}=>{{1},{2,3},{4},{5,7},{6}}=>{{1},{2,3},{4},{5,7},{6}}
[1,3,2,4,7,6,5]=>[1,3,2,4,7,6,5]=>{{1},{2,3},{4},{5,7},{6}}=>{{1},{2,3},{4},{5,7},{6}}=>{{1},{2,3},{4},{5,7},{6}}
[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>{{1},{2,3},{4,5},{6},{7}}=>{{1},{2,3},{4,5},{6},{7}}=>{{1},{2,3},{4,5},{6},{7}}
[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>{{1},{2,3},{4,5},{6,7}}=>{{1},{2,3},{4,5},{6,7}}=>{{1},{2,3},{4,5},{6,7}}
[1,3,2,5,6,4,7]=>[1,3,2,6,5,4,7]=>{{1},{2,3},{4,6},{5},{7}}=>{{1},{2,3},{4,6},{5},{7}}=>{{1},{2,3},{4,6},{5},{7}}
[1,3,2,5,6,7,4]=>[1,3,2,7,5,6,4]=>{{1},{2,3},{4,7},{5},{6}}=>{{1},{2,3},{4,7},{5},{6}}=>{{1},{2,3},{4,7},{5},{6}}
[1,3,2,5,7,4,6]=>[1,3,2,6,7,4,5]=>{{1},{2,3},{4,6},{5,7}}=>{{1},{2,3},{4,7},{5,6}}=>{{1},{2,3},{4,6},{5,7}}
[1,3,2,5,7,6,4]=>[1,3,2,7,6,5,4]=>{{1},{2,3},{4,7},{5,6}}=>{{1},{2,3},{4,6},{5,7}}=>{{1},{2,3},{4,7},{5,6}}
[1,3,2,6,4,5,7]=>[1,3,2,6,5,4,7]=>{{1},{2,3},{4,6},{5},{7}}=>{{1},{2,3},{4,6},{5},{7}}=>{{1},{2,3},{4,6},{5},{7}}
[1,3,2,6,4,7,5]=>[1,3,2,7,5,6,4]=>{{1},{2,3},{4,7},{5},{6}}=>{{1},{2,3},{4,7},{5},{6}}=>{{1},{2,3},{4,7},{5},{6}}
[1,3,2,6,5,4,7]=>[1,3,2,6,5,4,7]=>{{1},{2,3},{4,6},{5},{7}}=>{{1},{2,3},{4,6},{5},{7}}=>{{1},{2,3},{4,6},{5},{7}}
[1,3,2,6,5,7,4]=>[1,3,2,7,5,6,4]=>{{1},{2,3},{4,7},{5},{6}}=>{{1},{2,3},{4,7},{5},{6}}=>{{1},{2,3},{4,7},{5},{6}}
[1,3,2,6,7,4,5]=>[1,3,2,7,6,5,4]=>{{1},{2,3},{4,7},{5,6}}=>{{1},{2,3},{4,6},{5,7}}=>{{1},{2,3},{4,7},{5,6}}
[1,3,2,6,7,5,4]=>[1,3,2,7,6,5,4]=>{{1},{2,3},{4,7},{5,6}}=>{{1},{2,3},{4,6},{5,7}}=>{{1},{2,3},{4,7},{5,6}}
[1,3,2,7,4,5,6]=>[1,3,2,7,5,6,4]=>{{1},{2,3},{4,7},{5},{6}}=>{{1},{2,3},{4,7},{5},{6}}=>{{1},{2,3},{4,7},{5},{6}}
[1,3,2,7,4,6,5]=>[1,3,2,7,5,6,4]=>{{1},{2,3},{4,7},{5},{6}}=>{{1},{2,3},{4,7},{5},{6}}=>{{1},{2,3},{4,7},{5},{6}}
[1,3,2,7,5,4,6]=>[1,3,2,7,6,5,4]=>{{1},{2,3},{4,7},{5,6}}=>{{1},{2,3},{4,6},{5,7}}=>{{1},{2,3},{4,7},{5,6}}
[1,3,2,7,5,6,4]=>[1,3,2,7,6,5,4]=>{{1},{2,3},{4,7},{5,6}}=>{{1},{2,3},{4,6},{5,7}}=>{{1},{2,3},{4,7},{5,6}}
[1,3,2,7,6,4,5]=>[1,3,2,7,6,5,4]=>{{1},{2,3},{4,7},{5,6}}=>{{1},{2,3},{4,6},{5,7}}=>{{1},{2,3},{4,7},{5,6}}
[1,3,2,7,6,5,4]=>[1,3,2,7,6,5,4]=>{{1},{2,3},{4,7},{5,6}}=>{{1},{2,3},{4,6},{5,7}}=>{{1},{2,3},{4,7},{5,6}}
[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>{{1},{2,4},{3},{5},{6},{7}}=>{{1},{2,4},{3},{5},{6},{7}}=>{{1},{2,4},{3},{5},{6},{7}}
[1,3,4,2,5,7,6]=>[1,4,3,2,5,7,6]=>{{1},{2,4},{3},{5},{6,7}}=>{{1},{2,4},{3},{5},{6,7}}=>{{1},{2,4},{3},{5},{6,7}}
[1,3,4,2,6,5,7]=>[1,4,3,2,6,5,7]=>{{1},{2,4},{3},{5,6},{7}}=>{{1},{2,4},{3},{5,6},{7}}=>{{1},{2,4},{3},{5,6},{7}}
[1,3,4,2,6,7,5]=>[1,4,3,2,7,6,5]=>{{1},{2,4},{3},{5,7},{6}}=>{{1},{2,4},{3},{5,7},{6}}=>{{1},{2,4},{3},{5,7},{6}}
[1,3,4,2,7,5,6]=>[1,4,3,2,7,6,5]=>{{1},{2,4},{3},{5,7},{6}}=>{{1},{2,4},{3},{5,7},{6}}=>{{1},{2,4},{3},{5,7},{6}}
[1,3,4,2,7,6,5]=>[1,4,3,2,7,6,5]=>{{1},{2,4},{3},{5,7},{6}}=>{{1},{2,4},{3},{5,7},{6}}=>{{1},{2,4},{3},{5,7},{6}}
[1,3,4,5,2,6,7]=>[1,5,3,4,2,6,7]=>{{1},{2,5},{3},{4},{6},{7}}=>{{1},{2,5},{3},{4},{6},{7}}=>{{1},{2,5},{3},{4},{6},{7}}
[1,3,4,5,2,7,6]=>[1,5,3,4,2,7,6]=>{{1},{2,5},{3},{4},{6,7}}=>{{1},{2,5},{3},{4},{6,7}}=>{{1},{2,5},{3},{4},{6,7}}
[1,3,4,5,6,2,7]=>[1,6,3,4,5,2,7]=>{{1},{2,6},{3},{4},{5},{7}}=>{{1},{2,6},{3},{4},{5},{7}}=>{{1},{2,6},{3},{4},{5},{7}}
[1,3,4,5,6,7,2]=>[1,7,3,4,5,6,2]=>{{1},{2,7},{3},{4},{5},{6}}=>{{1},{2,7},{3},{4},{5},{6}}=>{{1},{2,7},{3},{4},{5},{6}}
[1,3,4,5,7,2,6]=>[1,6,3,4,7,2,5]=>{{1},{2,6},{3},{4},{5,7}}=>{{1},{2,7},{3},{4},{5,6}}=>{{1},{2,6},{3},{4},{5,7}}
[1,3,4,5,7,6,2]=>[1,7,3,4,6,5,2]=>{{1},{2,7},{3},{4},{5,6}}=>{{1},{2,6},{3},{4},{5,7}}=>{{1},{2,7},{3},{4},{5,6}}
[1,3,4,6,2,5,7]=>[1,5,3,6,2,4,7]=>{{1},{2,5},{3},{4,6},{7}}=>{{1},{2,6},{3},{4,5},{7}}=>{{1},{2,5},{3},{4,6},{7}}
[1,3,4,6,2,7,5]=>[1,5,3,7,2,6,4]=>{{1},{2,5},{3},{4,7},{6}}=>{{1},{2,7},{3},{4,5},{6}}=>{{1},{2,5},{3},{4,7},{6}}
[1,3,4,6,5,2,7]=>[1,6,3,5,4,2,7]=>{{1},{2,6},{3},{4,5},{7}}=>{{1},{2,5},{3},{4,6},{7}}=>{{1},{2,6},{3},{4,5},{7}}
[1,3,4,6,5,7,2]=>[1,7,3,5,4,6,2]=>{{1},{2,7},{3},{4,5},{6}}=>{{1},{2,5},{3},{4,7},{6}}=>{{1},{2,7},{3},{4,5},{6}}
[1,3,4,6,7,2,5]=>[1,6,3,7,5,2,4]=>{{1},{2,6},{3},{4,7},{5}}=>{{1},{2,7},{3},{4,6},{5}}=>{{1},{2,6},{3},{4,7},{5}}
[1,3,4,6,7,5,2]=>[1,7,3,6,5,4,2]=>{{1},{2,7},{3},{4,6},{5}}=>{{1},{2,6},{3},{4,7},{5}}=>{{1},{2,7},{3},{4,6},{5}}
[1,3,4,7,2,5,6]=>[1,5,3,7,2,6,4]=>{{1},{2,5},{3},{4,7},{6}}=>{{1},{2,7},{3},{4,5},{6}}=>{{1},{2,5},{3},{4,7},{6}}
[1,3,4,7,2,6,5]=>[1,5,3,7,2,6,4]=>{{1},{2,5},{3},{4,7},{6}}=>{{1},{2,7},{3},{4,5},{6}}=>{{1},{2,5},{3},{4,7},{6}}
[1,3,4,7,5,2,6]=>[1,6,3,7,5,2,4]=>{{1},{2,6},{3},{4,7},{5}}=>{{1},{2,7},{3},{4,6},{5}}=>{{1},{2,6},{3},{4,7},{5}}
[1,3,4,7,5,6,2]=>[1,7,3,6,5,4,2]=>{{1},{2,7},{3},{4,6},{5}}=>{{1},{2,6},{3},{4,7},{5}}=>{{1},{2,7},{3},{4,6},{5}}
[1,3,4,7,6,2,5]=>[1,6,3,7,5,2,4]=>{{1},{2,6},{3},{4,7},{5}}=>{{1},{2,7},{3},{4,6},{5}}=>{{1},{2,6},{3},{4,7},{5}}
[1,3,4,7,6,5,2]=>[1,7,3,6,5,4,2]=>{{1},{2,7},{3},{4,6},{5}}=>{{1},{2,6},{3},{4,7},{5}}=>{{1},{2,7},{3},{4,6},{5}}
[1,3,5,2,4,6,7]=>[1,4,5,2,3,6,7]=>{{1},{2,4},{3,5},{6},{7}}=>{{1},{2,5},{3,4},{6},{7}}=>{{1},{2,4},{3,5},{6},{7}}
[1,3,5,2,4,7,6]=>[1,4,5,2,3,7,6]=>{{1},{2,4},{3,5},{6,7}}=>{{1},{2,5},{3,4},{6,7}}=>{{1},{2,4},{3,5},{6,7}}
[1,3,5,2,6,4,7]=>[1,4,6,2,5,3,7]=>{{1},{2,4},{3,6},{5},{7}}=>{{1},{2,6},{3,4},{5},{7}}=>{{1},{2,4},{3,6},{5},{7}}
[1,3,5,2,6,7,4]=>[1,4,7,2,5,6,3]=>{{1},{2,4},{3,7},{5},{6}}=>{{1},{2,7},{3,4},{5},{6}}=>{{1},{2,4},{3,7},{5},{6}}
[1,3,5,2,7,4,6]=>[1,4,6,2,7,3,5]=>{{1},{2,4},{3,6},{5,7}}=>{{1},{2,7},{3,4},{5,6}}=>{{1},{2,4},{3,6},{5,7}}
[1,3,5,2,7,6,4]=>[1,4,7,2,6,5,3]=>{{1},{2,4},{3,7},{5,6}}=>{{1},{2,6},{3,4},{5,7}}=>{{1},{2,4},{3,7},{5,6}}
[1,3,5,4,2,6,7]=>[1,5,4,3,2,6,7]=>{{1},{2,5},{3,4},{6},{7}}=>{{1},{2,4},{3,5},{6},{7}}=>{{1},{2,5},{3,4},{6},{7}}
[1,3,5,4,2,7,6]=>[1,5,4,3,2,7,6]=>{{1},{2,5},{3,4},{6,7}}=>{{1},{2,4},{3,5},{6,7}}=>{{1},{2,5},{3,4},{6,7}}
[1,3,5,4,6,2,7]=>[1,6,4,3,5,2,7]=>{{1},{2,6},{3,4},{5},{7}}=>{{1},{2,4},{3,6},{5},{7}}=>{{1},{2,6},{3,4},{5},{7}}
[1,3,5,4,6,7,2]=>[1,7,4,3,5,6,2]=>{{1},{2,7},{3,4},{5},{6}}=>{{1},{2,4},{3,7},{5},{6}}=>{{1},{2,7},{3,4},{5},{6}}
[1,3,5,4,7,2,6]=>[1,6,4,3,7,2,5]=>{{1},{2,6},{3,4},{5,7}}=>{{1},{2,4},{3,7},{5,6}}=>{{1},{2,6},{3,4},{5,7}}
[1,3,5,4,7,6,2]=>[1,7,4,3,6,5,2]=>{{1},{2,7},{3,4},{5,6}}=>{{1},{2,4},{3,6},{5,7}}=>{{1},{2,7},{3,4},{5,6}}
[1,3,5,6,2,4,7]=>[1,5,6,4,2,3,7]=>{{1},{2,5},{3,6},{4},{7}}=>{{1},{2,6},{3,5},{4},{7}}=>{{1},{2,5},{3,6},{4},{7}}
[1,3,5,6,2,7,4]=>[1,5,7,4,2,6,3]=>{{1},{2,5},{3,7},{4},{6}}=>{{1},{2,7},{3,5},{4},{6}}=>{{1},{2,5},{3,7},{4},{6}}
[1,3,5,6,4,2,7]=>[1,6,5,4,3,2,7]=>{{1},{2,6},{3,5},{4},{7}}=>{{1},{2,5},{3,6},{4},{7}}=>{{1},{2,6},{3,5},{4},{7}}
[1,3,5,6,4,7,2]=>[1,7,5,4,3,6,2]=>{{1},{2,7},{3,5},{4},{6}}=>{{1},{2,5},{3,7},{4},{6}}=>{{1},{2,7},{3,5},{4},{6}}
[1,3,5,6,7,2,4]=>[1,6,7,4,5,2,3]=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}
[1,3,5,6,7,4,2]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,3,5,7,2,4,6]=>[1,5,6,7,2,3,4]=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}
[1,3,5,7,2,6,4]=>[1,5,7,6,2,4,3]=>{{1},{2,5},{3,7},{4,6}}=>{{1},{2,6},{3,7},{4,5}}=>{{1},{2,5},{3,7},{4,6}}
[1,3,5,7,4,2,6]=>[1,6,5,7,3,2,4]=>{{1},{2,6},{3,5},{4,7}}=>{{1},{2,7},{3,5},{4,6}}=>{{1},{2,6},{3,5},{4,7}}
[1,3,5,7,4,6,2]=>[1,7,5,6,3,4,2]=>{{1},{2,7},{3,5},{4,6}}=>{{1},{2,6},{3,5},{4,7}}=>{{1},{2,7},{3,5},{4,6}}
[1,3,5,7,6,2,4]=>[1,6,7,5,4,2,3]=>{{1},{2,6},{3,7},{4,5}}=>{{1},{2,5},{3,7},{4,6}}=>{{1},{2,6},{3,7},{4,5}}
[1,3,5,7,6,4,2]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,3,6,2,4,5,7]=>[1,4,6,2,5,3,7]=>{{1},{2,4},{3,6},{5},{7}}=>{{1},{2,6},{3,4},{5},{7}}=>{{1},{2,4},{3,6},{5},{7}}
[1,3,6,2,4,7,5]=>[1,4,7,2,5,6,3]=>{{1},{2,4},{3,7},{5},{6}}=>{{1},{2,7},{3,4},{5},{6}}=>{{1},{2,4},{3,7},{5},{6}}
[1,3,6,2,5,4,7]=>[1,4,6,2,5,3,7]=>{{1},{2,4},{3,6},{5},{7}}=>{{1},{2,6},{3,4},{5},{7}}=>{{1},{2,4},{3,6},{5},{7}}
[1,3,6,2,5,7,4]=>[1,4,7,2,5,6,3]=>{{1},{2,4},{3,7},{5},{6}}=>{{1},{2,7},{3,4},{5},{6}}=>{{1},{2,4},{3,7},{5},{6}}
[1,3,6,2,7,4,5]=>[1,4,7,2,6,5,3]=>{{1},{2,4},{3,7},{5,6}}=>{{1},{2,6},{3,4},{5,7}}=>{{1},{2,4},{3,7},{5,6}}
[1,3,6,2,7,5,4]=>[1,4,7,2,6,5,3]=>{{1},{2,4},{3,7},{5,6}}=>{{1},{2,6},{3,4},{5,7}}=>{{1},{2,4},{3,7},{5,6}}
[1,3,6,4,2,5,7]=>[1,5,6,4,2,3,7]=>{{1},{2,5},{3,6},{4},{7}}=>{{1},{2,6},{3,5},{4},{7}}=>{{1},{2,5},{3,6},{4},{7}}
[1,3,6,4,2,7,5]=>[1,5,7,4,2,6,3]=>{{1},{2,5},{3,7},{4},{6}}=>{{1},{2,7},{3,5},{4},{6}}=>{{1},{2,5},{3,7},{4},{6}}
[1,3,6,4,5,2,7]=>[1,6,5,4,3,2,7]=>{{1},{2,6},{3,5},{4},{7}}=>{{1},{2,5},{3,6},{4},{7}}=>{{1},{2,6},{3,5},{4},{7}}
[1,3,6,4,5,7,2]=>[1,7,5,4,3,6,2]=>{{1},{2,7},{3,5},{4},{6}}=>{{1},{2,5},{3,7},{4},{6}}=>{{1},{2,7},{3,5},{4},{6}}
[1,3,6,4,7,2,5]=>[1,6,7,4,5,2,3]=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}
[1,3,6,4,7,5,2]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,3,6,5,2,4,7]=>[1,5,6,4,2,3,7]=>{{1},{2,5},{3,6},{4},{7}}=>{{1},{2,6},{3,5},{4},{7}}=>{{1},{2,5},{3,6},{4},{7}}
[1,3,6,5,2,7,4]=>[1,5,7,4,2,6,3]=>{{1},{2,5},{3,7},{4},{6}}=>{{1},{2,7},{3,5},{4},{6}}=>{{1},{2,5},{3,7},{4},{6}}
[1,3,6,5,4,2,7]=>[1,6,5,4,3,2,7]=>{{1},{2,6},{3,5},{4},{7}}=>{{1},{2,5},{3,6},{4},{7}}=>{{1},{2,6},{3,5},{4},{7}}
[1,3,6,5,4,7,2]=>[1,7,5,4,3,6,2]=>{{1},{2,7},{3,5},{4},{6}}=>{{1},{2,5},{3,7},{4},{6}}=>{{1},{2,7},{3,5},{4},{6}}
[1,3,6,5,7,2,4]=>[1,6,7,4,5,2,3]=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}
[1,3,6,5,7,4,2]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,3,6,7,2,4,5]=>[1,5,7,6,2,4,3]=>{{1},{2,5},{3,7},{4,6}}=>{{1},{2,6},{3,7},{4,5}}=>{{1},{2,5},{3,7},{4,6}}
[1,3,6,7,2,5,4]=>[1,5,7,6,2,4,3]=>{{1},{2,5},{3,7},{4,6}}=>{{1},{2,6},{3,7},{4,5}}=>{{1},{2,5},{3,7},{4,6}}
[1,3,6,7,4,2,5]=>[1,6,7,5,4,2,3]=>{{1},{2,6},{3,7},{4,5}}=>{{1},{2,5},{3,7},{4,6}}=>{{1},{2,6},{3,7},{4,5}}
[1,3,6,7,4,5,2]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,3,6,7,5,2,4]=>[1,6,7,5,4,2,3]=>{{1},{2,6},{3,7},{4,5}}=>{{1},{2,5},{3,7},{4,6}}=>{{1},{2,6},{3,7},{4,5}}
[1,3,6,7,5,4,2]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,3,7,2,4,5,6]=>[1,4,7,2,5,6,3]=>{{1},{2,4},{3,7},{5},{6}}=>{{1},{2,7},{3,4},{5},{6}}=>{{1},{2,4},{3,7},{5},{6}}
[1,3,7,2,4,6,5]=>[1,4,7,2,5,6,3]=>{{1},{2,4},{3,7},{5},{6}}=>{{1},{2,7},{3,4},{5},{6}}=>{{1},{2,4},{3,7},{5},{6}}
[1,3,7,2,5,4,6]=>[1,4,7,2,6,5,3]=>{{1},{2,4},{3,7},{5,6}}=>{{1},{2,6},{3,4},{5,7}}=>{{1},{2,4},{3,7},{5,6}}
[1,3,7,2,5,6,4]=>[1,4,7,2,6,5,3]=>{{1},{2,4},{3,7},{5,6}}=>{{1},{2,6},{3,4},{5,7}}=>{{1},{2,4},{3,7},{5,6}}
[1,3,7,2,6,4,5]=>[1,4,7,2,6,5,3]=>{{1},{2,4},{3,7},{5,6}}=>{{1},{2,6},{3,4},{5,7}}=>{{1},{2,4},{3,7},{5,6}}
[1,3,7,2,6,5,4]=>[1,4,7,2,6,5,3]=>{{1},{2,4},{3,7},{5,6}}=>{{1},{2,6},{3,4},{5,7}}=>{{1},{2,4},{3,7},{5,6}}
[1,3,7,4,2,5,6]=>[1,5,7,4,2,6,3]=>{{1},{2,5},{3,7},{4},{6}}=>{{1},{2,7},{3,5},{4},{6}}=>{{1},{2,5},{3,7},{4},{6}}
[1,3,7,4,2,6,5]=>[1,5,7,4,2,6,3]=>{{1},{2,5},{3,7},{4},{6}}=>{{1},{2,7},{3,5},{4},{6}}=>{{1},{2,5},{3,7},{4},{6}}
[1,3,7,4,5,2,6]=>[1,6,7,4,5,2,3]=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}
[1,3,7,4,5,6,2]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,3,7,4,6,2,5]=>[1,6,7,4,5,2,3]=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}
[1,3,7,4,6,5,2]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,3,7,5,2,4,6]=>[1,5,7,6,2,4,3]=>{{1},{2,5},{3,7},{4,6}}=>{{1},{2,6},{3,7},{4,5}}=>{{1},{2,5},{3,7},{4,6}}
[1,3,7,5,2,6,4]=>[1,5,7,6,2,4,3]=>{{1},{2,5},{3,7},{4,6}}=>{{1},{2,6},{3,7},{4,5}}=>{{1},{2,5},{3,7},{4,6}}
[1,3,7,5,4,2,6]=>[1,6,7,5,4,2,3]=>{{1},{2,6},{3,7},{4,5}}=>{{1},{2,5},{3,7},{4,6}}=>{{1},{2,6},{3,7},{4,5}}
[1,3,7,5,4,6,2]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,3,7,5,6,2,4]=>[1,6,7,5,4,2,3]=>{{1},{2,6},{3,7},{4,5}}=>{{1},{2,5},{3,7},{4,6}}=>{{1},{2,6},{3,7},{4,5}}
[1,3,7,5,6,4,2]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,3,7,6,2,4,5]=>[1,5,7,6,2,4,3]=>{{1},{2,5},{3,7},{4,6}}=>{{1},{2,6},{3,7},{4,5}}=>{{1},{2,5},{3,7},{4,6}}
[1,3,7,6,2,5,4]=>[1,5,7,6,2,4,3]=>{{1},{2,5},{3,7},{4,6}}=>{{1},{2,6},{3,7},{4,5}}=>{{1},{2,5},{3,7},{4,6}}
[1,3,7,6,4,2,5]=>[1,6,7,5,4,2,3]=>{{1},{2,6},{3,7},{4,5}}=>{{1},{2,5},{3,7},{4,6}}=>{{1},{2,6},{3,7},{4,5}}
[1,3,7,6,4,5,2]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,3,7,6,5,2,4]=>[1,6,7,5,4,2,3]=>{{1},{2,6},{3,7},{4,5}}=>{{1},{2,5},{3,7},{4,6}}=>{{1},{2,6},{3,7},{4,5}}
[1,3,7,6,5,4,2]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,4,2,3,5,6,7]=>[1,4,3,2,5,6,7]=>{{1},{2,4},{3},{5},{6},{7}}=>{{1},{2,4},{3},{5},{6},{7}}=>{{1},{2,4},{3},{5},{6},{7}}
[1,4,2,3,5,7,6]=>[1,4,3,2,5,7,6]=>{{1},{2,4},{3},{5},{6,7}}=>{{1},{2,4},{3},{5},{6,7}}=>{{1},{2,4},{3},{5},{6,7}}
[1,4,2,3,6,5,7]=>[1,4,3,2,6,5,7]=>{{1},{2,4},{3},{5,6},{7}}=>{{1},{2,4},{3},{5,6},{7}}=>{{1},{2,4},{3},{5,6},{7}}
[1,4,2,3,6,7,5]=>[1,4,3,2,7,6,5]=>{{1},{2,4},{3},{5,7},{6}}=>{{1},{2,4},{3},{5,7},{6}}=>{{1},{2,4},{3},{5,7},{6}}
[1,4,2,3,7,5,6]=>[1,4,3,2,7,6,5]=>{{1},{2,4},{3},{5,7},{6}}=>{{1},{2,4},{3},{5,7},{6}}=>{{1},{2,4},{3},{5,7},{6}}
[1,4,2,3,7,6,5]=>[1,4,3,2,7,6,5]=>{{1},{2,4},{3},{5,7},{6}}=>{{1},{2,4},{3},{5,7},{6}}=>{{1},{2,4},{3},{5,7},{6}}
[1,4,2,5,3,6,7]=>[1,5,3,4,2,6,7]=>{{1},{2,5},{3},{4},{6},{7}}=>{{1},{2,5},{3},{4},{6},{7}}=>{{1},{2,5},{3},{4},{6},{7}}
[1,4,2,5,3,7,6]=>[1,5,3,4,2,7,6]=>{{1},{2,5},{3},{4},{6,7}}=>{{1},{2,5},{3},{4},{6,7}}=>{{1},{2,5},{3},{4},{6,7}}
[1,4,2,5,6,3,7]=>[1,6,3,4,5,2,7]=>{{1},{2,6},{3},{4},{5},{7}}=>{{1},{2,6},{3},{4},{5},{7}}=>{{1},{2,6},{3},{4},{5},{7}}
[1,4,2,5,6,7,3]=>[1,7,3,4,5,6,2]=>{{1},{2,7},{3},{4},{5},{6}}=>{{1},{2,7},{3},{4},{5},{6}}=>{{1},{2,7},{3},{4},{5},{6}}
[1,4,2,5,7,3,6]=>[1,6,3,4,7,2,5]=>{{1},{2,6},{3},{4},{5,7}}=>{{1},{2,7},{3},{4},{5,6}}=>{{1},{2,6},{3},{4},{5,7}}
[1,4,2,5,7,6,3]=>[1,7,3,4,6,5,2]=>{{1},{2,7},{3},{4},{5,6}}=>{{1},{2,6},{3},{4},{5,7}}=>{{1},{2,7},{3},{4},{5,6}}
[1,4,2,6,3,5,7]=>[1,5,3,6,2,4,7]=>{{1},{2,5},{3},{4,6},{7}}=>{{1},{2,6},{3},{4,5},{7}}=>{{1},{2,5},{3},{4,6},{7}}
[1,4,2,6,3,7,5]=>[1,5,3,7,2,6,4]=>{{1},{2,5},{3},{4,7},{6}}=>{{1},{2,7},{3},{4,5},{6}}=>{{1},{2,5},{3},{4,7},{6}}
[1,4,2,6,5,3,7]=>[1,6,3,5,4,2,7]=>{{1},{2,6},{3},{4,5},{7}}=>{{1},{2,5},{3},{4,6},{7}}=>{{1},{2,6},{3},{4,5},{7}}
[1,4,2,6,5,7,3]=>[1,7,3,5,4,6,2]=>{{1},{2,7},{3},{4,5},{6}}=>{{1},{2,5},{3},{4,7},{6}}=>{{1},{2,7},{3},{4,5},{6}}
[1,4,2,6,7,3,5]=>[1,6,3,7,5,2,4]=>{{1},{2,6},{3},{4,7},{5}}=>{{1},{2,7},{3},{4,6},{5}}=>{{1},{2,6},{3},{4,7},{5}}
[1,4,2,6,7,5,3]=>[1,7,3,6,5,4,2]=>{{1},{2,7},{3},{4,6},{5}}=>{{1},{2,6},{3},{4,7},{5}}=>{{1},{2,7},{3},{4,6},{5}}
[1,4,2,7,3,5,6]=>[1,5,3,7,2,6,4]=>{{1},{2,5},{3},{4,7},{6}}=>{{1},{2,7},{3},{4,5},{6}}=>{{1},{2,5},{3},{4,7},{6}}
[1,4,2,7,3,6,5]=>[1,5,3,7,2,6,4]=>{{1},{2,5},{3},{4,7},{6}}=>{{1},{2,7},{3},{4,5},{6}}=>{{1},{2,5},{3},{4,7},{6}}
[1,4,2,7,5,3,6]=>[1,6,3,7,5,2,4]=>{{1},{2,6},{3},{4,7},{5}}=>{{1},{2,7},{3},{4,6},{5}}=>{{1},{2,6},{3},{4,7},{5}}
[1,4,2,7,5,6,3]=>[1,7,3,6,5,4,2]=>{{1},{2,7},{3},{4,6},{5}}=>{{1},{2,6},{3},{4,7},{5}}=>{{1},{2,7},{3},{4,6},{5}}
[1,4,2,7,6,3,5]=>[1,6,3,7,5,2,4]=>{{1},{2,6},{3},{4,7},{5}}=>{{1},{2,7},{3},{4,6},{5}}=>{{1},{2,6},{3},{4,7},{5}}
[1,4,2,7,6,5,3]=>[1,7,3,6,5,4,2]=>{{1},{2,7},{3},{4,6},{5}}=>{{1},{2,6},{3},{4,7},{5}}=>{{1},{2,7},{3},{4,6},{5}}
[1,4,3,2,5,6,7]=>[1,4,3,2,5,6,7]=>{{1},{2,4},{3},{5},{6},{7}}=>{{1},{2,4},{3},{5},{6},{7}}=>{{1},{2,4},{3},{5},{6},{7}}
[1,4,3,2,5,7,6]=>[1,4,3,2,5,7,6]=>{{1},{2,4},{3},{5},{6,7}}=>{{1},{2,4},{3},{5},{6,7}}=>{{1},{2,4},{3},{5},{6,7}}
[1,4,3,2,6,5,7]=>[1,4,3,2,6,5,7]=>{{1},{2,4},{3},{5,6},{7}}=>{{1},{2,4},{3},{5,6},{7}}=>{{1},{2,4},{3},{5,6},{7}}
[1,4,3,2,6,7,5]=>[1,4,3,2,7,6,5]=>{{1},{2,4},{3},{5,7},{6}}=>{{1},{2,4},{3},{5,7},{6}}=>{{1},{2,4},{3},{5,7},{6}}
[1,4,3,2,7,5,6]=>[1,4,3,2,7,6,5]=>{{1},{2,4},{3},{5,7},{6}}=>{{1},{2,4},{3},{5,7},{6}}=>{{1},{2,4},{3},{5,7},{6}}
[1,4,3,2,7,6,5]=>[1,4,3,2,7,6,5]=>{{1},{2,4},{3},{5,7},{6}}=>{{1},{2,4},{3},{5,7},{6}}=>{{1},{2,4},{3},{5,7},{6}}
[1,4,3,5,2,6,7]=>[1,5,3,4,2,6,7]=>{{1},{2,5},{3},{4},{6},{7}}=>{{1},{2,5},{3},{4},{6},{7}}=>{{1},{2,5},{3},{4},{6},{7}}
[1,4,3,5,2,7,6]=>[1,5,3,4,2,7,6]=>{{1},{2,5},{3},{4},{6,7}}=>{{1},{2,5},{3},{4},{6,7}}=>{{1},{2,5},{3},{4},{6,7}}
[1,4,3,5,6,2,7]=>[1,6,3,4,5,2,7]=>{{1},{2,6},{3},{4},{5},{7}}=>{{1},{2,6},{3},{4},{5},{7}}=>{{1},{2,6},{3},{4},{5},{7}}
[1,4,3,5,6,7,2]=>[1,7,3,4,5,6,2]=>{{1},{2,7},{3},{4},{5},{6}}=>{{1},{2,7},{3},{4},{5},{6}}=>{{1},{2,7},{3},{4},{5},{6}}
[1,4,3,5,7,2,6]=>[1,6,3,4,7,2,5]=>{{1},{2,6},{3},{4},{5,7}}=>{{1},{2,7},{3},{4},{5,6}}=>{{1},{2,6},{3},{4},{5,7}}
[1,4,3,5,7,6,2]=>[1,7,3,4,6,5,2]=>{{1},{2,7},{3},{4},{5,6}}=>{{1},{2,6},{3},{4},{5,7}}=>{{1},{2,7},{3},{4},{5,6}}
[1,4,3,6,2,5,7]=>[1,5,3,6,2,4,7]=>{{1},{2,5},{3},{4,6},{7}}=>{{1},{2,6},{3},{4,5},{7}}=>{{1},{2,5},{3},{4,6},{7}}
[1,4,3,6,2,7,5]=>[1,5,3,7,2,6,4]=>{{1},{2,5},{3},{4,7},{6}}=>{{1},{2,7},{3},{4,5},{6}}=>{{1},{2,5},{3},{4,7},{6}}
[1,4,3,6,5,2,7]=>[1,6,3,5,4,2,7]=>{{1},{2,6},{3},{4,5},{7}}=>{{1},{2,5},{3},{4,6},{7}}=>{{1},{2,6},{3},{4,5},{7}}
[1,4,3,6,5,7,2]=>[1,7,3,5,4,6,2]=>{{1},{2,7},{3},{4,5},{6}}=>{{1},{2,5},{3},{4,7},{6}}=>{{1},{2,7},{3},{4,5},{6}}
[1,4,3,6,7,2,5]=>[1,6,3,7,5,2,4]=>{{1},{2,6},{3},{4,7},{5}}=>{{1},{2,7},{3},{4,6},{5}}=>{{1},{2,6},{3},{4,7},{5}}
[1,4,3,6,7,5,2]=>[1,7,3,6,5,4,2]=>{{1},{2,7},{3},{4,6},{5}}=>{{1},{2,6},{3},{4,7},{5}}=>{{1},{2,7},{3},{4,6},{5}}
[1,4,3,7,2,5,6]=>[1,5,3,7,2,6,4]=>{{1},{2,5},{3},{4,7},{6}}=>{{1},{2,7},{3},{4,5},{6}}=>{{1},{2,5},{3},{4,7},{6}}
[1,4,3,7,2,6,5]=>[1,5,3,7,2,6,4]=>{{1},{2,5},{3},{4,7},{6}}=>{{1},{2,7},{3},{4,5},{6}}=>{{1},{2,5},{3},{4,7},{6}}
[1,4,3,7,5,2,6]=>[1,6,3,7,5,2,4]=>{{1},{2,6},{3},{4,7},{5}}=>{{1},{2,7},{3},{4,6},{5}}=>{{1},{2,6},{3},{4,7},{5}}
[1,4,3,7,5,6,2]=>[1,7,3,6,5,4,2]=>{{1},{2,7},{3},{4,6},{5}}=>{{1},{2,6},{3},{4,7},{5}}=>{{1},{2,7},{3},{4,6},{5}}
[1,4,3,7,6,2,5]=>[1,6,3,7,5,2,4]=>{{1},{2,6},{3},{4,7},{5}}=>{{1},{2,7},{3},{4,6},{5}}=>{{1},{2,6},{3},{4,7},{5}}
[1,4,3,7,6,5,2]=>[1,7,3,6,5,4,2]=>{{1},{2,7},{3},{4,6},{5}}=>{{1},{2,6},{3},{4,7},{5}}=>{{1},{2,7},{3},{4,6},{5}}
[1,4,5,2,3,6,7]=>[1,5,4,3,2,6,7]=>{{1},{2,5},{3,4},{6},{7}}=>{{1},{2,4},{3,5},{6},{7}}=>{{1},{2,5},{3,4},{6},{7}}
[1,4,5,2,3,7,6]=>[1,5,4,3,2,7,6]=>{{1},{2,5},{3,4},{6,7}}=>{{1},{2,4},{3,5},{6,7}}=>{{1},{2,5},{3,4},{6,7}}
[1,4,5,2,6,3,7]=>[1,6,4,3,5,2,7]=>{{1},{2,6},{3,4},{5},{7}}=>{{1},{2,4},{3,6},{5},{7}}=>{{1},{2,6},{3,4},{5},{7}}
[1,4,5,2,6,7,3]=>[1,7,4,3,5,6,2]=>{{1},{2,7},{3,4},{5},{6}}=>{{1},{2,4},{3,7},{5},{6}}=>{{1},{2,7},{3,4},{5},{6}}
[1,4,5,2,7,3,6]=>[1,6,4,3,7,2,5]=>{{1},{2,6},{3,4},{5,7}}=>{{1},{2,4},{3,7},{5,6}}=>{{1},{2,6},{3,4},{5,7}}
[1,4,5,2,7,6,3]=>[1,7,4,3,6,5,2]=>{{1},{2,7},{3,4},{5,6}}=>{{1},{2,4},{3,6},{5,7}}=>{{1},{2,7},{3,4},{5,6}}
[1,4,5,3,2,6,7]=>[1,5,4,3,2,6,7]=>{{1},{2,5},{3,4},{6},{7}}=>{{1},{2,4},{3,5},{6},{7}}=>{{1},{2,5},{3,4},{6},{7}}
[1,4,5,3,2,7,6]=>[1,5,4,3,2,7,6]=>{{1},{2,5},{3,4},{6,7}}=>{{1},{2,4},{3,5},{6,7}}=>{{1},{2,5},{3,4},{6,7}}
[1,4,5,3,6,2,7]=>[1,6,4,3,5,2,7]=>{{1},{2,6},{3,4},{5},{7}}=>{{1},{2,4},{3,6},{5},{7}}=>{{1},{2,6},{3,4},{5},{7}}
[1,4,5,3,6,7,2]=>[1,7,4,3,5,6,2]=>{{1},{2,7},{3,4},{5},{6}}=>{{1},{2,4},{3,7},{5},{6}}=>{{1},{2,7},{3,4},{5},{6}}
[1,4,5,3,7,2,6]=>[1,6,4,3,7,2,5]=>{{1},{2,6},{3,4},{5,7}}=>{{1},{2,4},{3,7},{5,6}}=>{{1},{2,6},{3,4},{5,7}}
[1,4,5,3,7,6,2]=>[1,7,4,3,6,5,2]=>{{1},{2,7},{3,4},{5,6}}=>{{1},{2,4},{3,6},{5,7}}=>{{1},{2,7},{3,4},{5,6}}
[1,4,5,6,2,3,7]=>[1,6,5,4,3,2,7]=>{{1},{2,6},{3,5},{4},{7}}=>{{1},{2,5},{3,6},{4},{7}}=>{{1},{2,6},{3,5},{4},{7}}
[1,4,5,6,2,7,3]=>[1,7,5,4,3,6,2]=>{{1},{2,7},{3,5},{4},{6}}=>{{1},{2,5},{3,7},{4},{6}}=>{{1},{2,7},{3,5},{4},{6}}
[1,4,5,6,3,2,7]=>[1,6,5,4,3,2,7]=>{{1},{2,6},{3,5},{4},{7}}=>{{1},{2,5},{3,6},{4},{7}}=>{{1},{2,6},{3,5},{4},{7}}
[1,4,5,6,3,7,2]=>[1,7,5,4,3,6,2]=>{{1},{2,7},{3,5},{4},{6}}=>{{1},{2,5},{3,7},{4},{6}}=>{{1},{2,7},{3,5},{4},{6}}
[1,4,5,6,7,2,3]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,4,5,6,7,3,2]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,4,5,7,2,3,6]=>[1,6,5,7,3,2,4]=>{{1},{2,6},{3,5},{4,7}}=>{{1},{2,7},{3,5},{4,6}}=>{{1},{2,6},{3,5},{4,7}}
[1,4,5,7,2,6,3]=>[1,7,5,6,3,4,2]=>{{1},{2,7},{3,5},{4,6}}=>{{1},{2,6},{3,5},{4,7}}=>{{1},{2,7},{3,5},{4,6}}
[1,4,5,7,3,2,6]=>[1,6,5,7,3,2,4]=>{{1},{2,6},{3,5},{4,7}}=>{{1},{2,7},{3,5},{4,6}}=>{{1},{2,6},{3,5},{4,7}}
[1,4,5,7,3,6,2]=>[1,7,5,6,3,4,2]=>{{1},{2,7},{3,5},{4,6}}=>{{1},{2,6},{3,5},{4,7}}=>{{1},{2,7},{3,5},{4,6}}
[1,4,5,7,6,2,3]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,4,5,7,6,3,2]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,4,6,2,3,5,7]=>[1,5,6,4,2,3,7]=>{{1},{2,5},{3,6},{4},{7}}=>{{1},{2,6},{3,5},{4},{7}}=>{{1},{2,5},{3,6},{4},{7}}
[1,4,6,2,3,7,5]=>[1,5,7,4,2,6,3]=>{{1},{2,5},{3,7},{4},{6}}=>{{1},{2,7},{3,5},{4},{6}}=>{{1},{2,5},{3,7},{4},{6}}
[1,4,6,2,5,3,7]=>[1,6,5,4,3,2,7]=>{{1},{2,6},{3,5},{4},{7}}=>{{1},{2,5},{3,6},{4},{7}}=>{{1},{2,6},{3,5},{4},{7}}
[1,4,6,2,5,7,3]=>[1,7,5,4,3,6,2]=>{{1},{2,7},{3,5},{4},{6}}=>{{1},{2,5},{3,7},{4},{6}}=>{{1},{2,7},{3,5},{4},{6}}
[1,4,6,2,7,3,5]=>[1,6,7,4,5,2,3]=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}
[1,4,6,2,7,5,3]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,4,6,3,2,5,7]=>[1,5,6,4,2,3,7]=>{{1},{2,5},{3,6},{4},{7}}=>{{1},{2,6},{3,5},{4},{7}}=>{{1},{2,5},{3,6},{4},{7}}
[1,4,6,3,2,7,5]=>[1,5,7,4,2,6,3]=>{{1},{2,5},{3,7},{4},{6}}=>{{1},{2,7},{3,5},{4},{6}}=>{{1},{2,5},{3,7},{4},{6}}
[1,4,6,3,5,2,7]=>[1,6,5,4,3,2,7]=>{{1},{2,6},{3,5},{4},{7}}=>{{1},{2,5},{3,6},{4},{7}}=>{{1},{2,6},{3,5},{4},{7}}
[1,4,6,3,5,7,2]=>[1,7,5,4,3,6,2]=>{{1},{2,7},{3,5},{4},{6}}=>{{1},{2,5},{3,7},{4},{6}}=>{{1},{2,7},{3,5},{4},{6}}
[1,4,6,3,7,2,5]=>[1,6,7,4,5,2,3]=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}
[1,4,6,3,7,5,2]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,4,6,5,2,3,7]=>[1,6,5,4,3,2,7]=>{{1},{2,6},{3,5},{4},{7}}=>{{1},{2,5},{3,6},{4},{7}}=>{{1},{2,6},{3,5},{4},{7}}
[1,4,6,5,2,7,3]=>[1,7,5,4,3,6,2]=>{{1},{2,7},{3,5},{4},{6}}=>{{1},{2,5},{3,7},{4},{6}}=>{{1},{2,7},{3,5},{4},{6}}
[1,4,6,5,3,2,7]=>[1,6,5,4,3,2,7]=>{{1},{2,6},{3,5},{4},{7}}=>{{1},{2,5},{3,6},{4},{7}}=>{{1},{2,6},{3,5},{4},{7}}
[1,4,6,5,3,7,2]=>[1,7,5,4,3,6,2]=>{{1},{2,7},{3,5},{4},{6}}=>{{1},{2,5},{3,7},{4},{6}}=>{{1},{2,7},{3,5},{4},{6}}
[1,4,6,5,7,2,3]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,4,6,5,7,3,2]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,4,6,7,2,3,5]=>[1,6,7,5,4,2,3]=>{{1},{2,6},{3,7},{4,5}}=>{{1},{2,5},{3,7},{4,6}}=>{{1},{2,6},{3,7},{4,5}}
[1,4,6,7,2,5,3]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,4,6,7,3,2,5]=>[1,6,7,5,4,2,3]=>{{1},{2,6},{3,7},{4,5}}=>{{1},{2,5},{3,7},{4,6}}=>{{1},{2,6},{3,7},{4,5}}
[1,4,6,7,3,5,2]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,4,6,7,5,2,3]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,4,6,7,5,3,2]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,4,7,2,3,5,6]=>[1,5,7,4,2,6,3]=>{{1},{2,5},{3,7},{4},{6}}=>{{1},{2,7},{3,5},{4},{6}}=>{{1},{2,5},{3,7},{4},{6}}
[1,4,7,2,3,6,5]=>[1,5,7,4,2,6,3]=>{{1},{2,5},{3,7},{4},{6}}=>{{1},{2,7},{3,5},{4},{6}}=>{{1},{2,5},{3,7},{4},{6}}
[1,4,7,2,5,3,6]=>[1,6,7,4,5,2,3]=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}
[1,4,7,2,5,6,3]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,4,7,2,6,3,5]=>[1,6,7,4,5,2,3]=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}
[1,4,7,2,6,5,3]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,4,7,3,2,5,6]=>[1,5,7,4,2,6,3]=>{{1},{2,5},{3,7},{4},{6}}=>{{1},{2,7},{3,5},{4},{6}}=>{{1},{2,5},{3,7},{4},{6}}
[1,4,7,3,2,6,5]=>[1,5,7,4,2,6,3]=>{{1},{2,5},{3,7},{4},{6}}=>{{1},{2,7},{3,5},{4},{6}}=>{{1},{2,5},{3,7},{4},{6}}
[1,4,7,3,5,2,6]=>[1,6,7,4,5,2,3]=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}
[1,4,7,3,5,6,2]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,4,7,3,6,2,5]=>[1,6,7,4,5,2,3]=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}
[1,4,7,3,6,5,2]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,4,7,5,2,3,6]=>[1,6,7,5,4,2,3]=>{{1},{2,6},{3,7},{4,5}}=>{{1},{2,5},{3,7},{4,6}}=>{{1},{2,6},{3,7},{4,5}}
[1,4,7,5,2,6,3]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,4,7,5,3,2,6]=>[1,6,7,5,4,2,3]=>{{1},{2,6},{3,7},{4,5}}=>{{1},{2,5},{3,7},{4,6}}=>{{1},{2,6},{3,7},{4,5}}
[1,4,7,5,3,6,2]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,4,7,5,6,2,3]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,4,7,5,6,3,2]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,4,7,6,2,3,5]=>[1,6,7,5,4,2,3]=>{{1},{2,6},{3,7},{4,5}}=>{{1},{2,5},{3,7},{4,6}}=>{{1},{2,6},{3,7},{4,5}}
[1,4,7,6,2,5,3]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,4,7,6,3,2,5]=>[1,6,7,5,4,2,3]=>{{1},{2,6},{3,7},{4,5}}=>{{1},{2,5},{3,7},{4,6}}=>{{1},{2,6},{3,7},{4,5}}
[1,4,7,6,3,5,2]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,4,7,6,5,2,3]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,4,7,6,5,3,2]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,5,2,3,4,6,7]=>[1,5,3,4,2,6,7]=>{{1},{2,5},{3},{4},{6},{7}}=>{{1},{2,5},{3},{4},{6},{7}}=>{{1},{2,5},{3},{4},{6},{7}}
[1,5,2,3,4,7,6]=>[1,5,3,4,2,7,6]=>{{1},{2,5},{3},{4},{6,7}}=>{{1},{2,5},{3},{4},{6,7}}=>{{1},{2,5},{3},{4},{6,7}}
[1,5,2,3,6,4,7]=>[1,6,3,4,5,2,7]=>{{1},{2,6},{3},{4},{5},{7}}=>{{1},{2,6},{3},{4},{5},{7}}=>{{1},{2,6},{3},{4},{5},{7}}
[1,5,2,3,6,7,4]=>[1,7,3,4,5,6,2]=>{{1},{2,7},{3},{4},{5},{6}}=>{{1},{2,7},{3},{4},{5},{6}}=>{{1},{2,7},{3},{4},{5},{6}}
[1,5,2,3,7,4,6]=>[1,6,3,4,7,2,5]=>{{1},{2,6},{3},{4},{5,7}}=>{{1},{2,7},{3},{4},{5,6}}=>{{1},{2,6},{3},{4},{5,7}}
[1,5,2,3,7,6,4]=>[1,7,3,4,6,5,2]=>{{1},{2,7},{3},{4},{5,6}}=>{{1},{2,6},{3},{4},{5,7}}=>{{1},{2,7},{3},{4},{5,6}}
[1,5,2,4,3,6,7]=>[1,5,3,4,2,6,7]=>{{1},{2,5},{3},{4},{6},{7}}=>{{1},{2,5},{3},{4},{6},{7}}=>{{1},{2,5},{3},{4},{6},{7}}
[1,5,2,4,3,7,6]=>[1,5,3,4,2,7,6]=>{{1},{2,5},{3},{4},{6,7}}=>{{1},{2,5},{3},{4},{6,7}}=>{{1},{2,5},{3},{4},{6,7}}
[1,5,2,4,6,3,7]=>[1,6,3,4,5,2,7]=>{{1},{2,6},{3},{4},{5},{7}}=>{{1},{2,6},{3},{4},{5},{7}}=>{{1},{2,6},{3},{4},{5},{7}}
[1,5,2,4,6,7,3]=>[1,7,3,4,5,6,2]=>{{1},{2,7},{3},{4},{5},{6}}=>{{1},{2,7},{3},{4},{5},{6}}=>{{1},{2,7},{3},{4},{5},{6}}
[1,5,2,4,7,3,6]=>[1,6,3,4,7,2,5]=>{{1},{2,6},{3},{4},{5,7}}=>{{1},{2,7},{3},{4},{5,6}}=>{{1},{2,6},{3},{4},{5,7}}
[1,5,2,4,7,6,3]=>[1,7,3,4,6,5,2]=>{{1},{2,7},{3},{4},{5,6}}=>{{1},{2,6},{3},{4},{5,7}}=>{{1},{2,7},{3},{4},{5,6}}
[1,5,2,6,3,4,7]=>[1,6,3,5,4,2,7]=>{{1},{2,6},{3},{4,5},{7}}=>{{1},{2,5},{3},{4,6},{7}}=>{{1},{2,6},{3},{4,5},{7}}
[1,5,2,6,3,7,4]=>[1,7,3,5,4,6,2]=>{{1},{2,7},{3},{4,5},{6}}=>{{1},{2,5},{3},{4,7},{6}}=>{{1},{2,7},{3},{4,5},{6}}
[1,5,2,6,4,3,7]=>[1,6,3,5,4,2,7]=>{{1},{2,6},{3},{4,5},{7}}=>{{1},{2,5},{3},{4,6},{7}}=>{{1},{2,6},{3},{4,5},{7}}
[1,5,2,6,4,7,3]=>[1,7,3,5,4,6,2]=>{{1},{2,7},{3},{4,5},{6}}=>{{1},{2,5},{3},{4,7},{6}}=>{{1},{2,7},{3},{4,5},{6}}
[1,5,2,6,7,3,4]=>[1,7,3,6,5,4,2]=>{{1},{2,7},{3},{4,6},{5}}=>{{1},{2,6},{3},{4,7},{5}}=>{{1},{2,7},{3},{4,6},{5}}
[1,5,2,6,7,4,3]=>[1,7,3,6,5,4,2]=>{{1},{2,7},{3},{4,6},{5}}=>{{1},{2,6},{3},{4,7},{5}}=>{{1},{2,7},{3},{4,6},{5}}
[1,5,2,7,3,4,6]=>[1,6,3,7,5,2,4]=>{{1},{2,6},{3},{4,7},{5}}=>{{1},{2,7},{3},{4,6},{5}}=>{{1},{2,6},{3},{4,7},{5}}
[1,5,2,7,3,6,4]=>[1,7,3,6,5,4,2]=>{{1},{2,7},{3},{4,6},{5}}=>{{1},{2,6},{3},{4,7},{5}}=>{{1},{2,7},{3},{4,6},{5}}
[1,5,2,7,4,3,6]=>[1,6,3,7,5,2,4]=>{{1},{2,6},{3},{4,7},{5}}=>{{1},{2,7},{3},{4,6},{5}}=>{{1},{2,6},{3},{4,7},{5}}
[1,5,2,7,4,6,3]=>[1,7,3,6,5,4,2]=>{{1},{2,7},{3},{4,6},{5}}=>{{1},{2,6},{3},{4,7},{5}}=>{{1},{2,7},{3},{4,6},{5}}
[1,5,2,7,6,3,4]=>[1,7,3,6,5,4,2]=>{{1},{2,7},{3},{4,6},{5}}=>{{1},{2,6},{3},{4,7},{5}}=>{{1},{2,7},{3},{4,6},{5}}
[1,5,2,7,6,4,3]=>[1,7,3,6,5,4,2]=>{{1},{2,7},{3},{4,6},{5}}=>{{1},{2,6},{3},{4,7},{5}}=>{{1},{2,7},{3},{4,6},{5}}
[1,5,3,2,4,6,7]=>[1,5,4,3,2,6,7]=>{{1},{2,5},{3,4},{6},{7}}=>{{1},{2,4},{3,5},{6},{7}}=>{{1},{2,5},{3,4},{6},{7}}
[1,5,3,2,4,7,6]=>[1,5,4,3,2,7,6]=>{{1},{2,5},{3,4},{6,7}}=>{{1},{2,4},{3,5},{6,7}}=>{{1},{2,5},{3,4},{6,7}}
[1,5,3,2,6,4,7]=>[1,6,4,3,5,2,7]=>{{1},{2,6},{3,4},{5},{7}}=>{{1},{2,4},{3,6},{5},{7}}=>{{1},{2,6},{3,4},{5},{7}}
[1,5,3,2,6,7,4]=>[1,7,4,3,5,6,2]=>{{1},{2,7},{3,4},{5},{6}}=>{{1},{2,4},{3,7},{5},{6}}=>{{1},{2,7},{3,4},{5},{6}}
[1,5,3,2,7,4,6]=>[1,6,4,3,7,2,5]=>{{1},{2,6},{3,4},{5,7}}=>{{1},{2,4},{3,7},{5,6}}=>{{1},{2,6},{3,4},{5,7}}
[1,5,3,2,7,6,4]=>[1,7,4,3,6,5,2]=>{{1},{2,7},{3,4},{5,6}}=>{{1},{2,4},{3,6},{5,7}}=>{{1},{2,7},{3,4},{5,6}}
[1,5,3,4,2,6,7]=>[1,5,4,3,2,6,7]=>{{1},{2,5},{3,4},{6},{7}}=>{{1},{2,4},{3,5},{6},{7}}=>{{1},{2,5},{3,4},{6},{7}}
[1,5,3,4,2,7,6]=>[1,5,4,3,2,7,6]=>{{1},{2,5},{3,4},{6,7}}=>{{1},{2,4},{3,5},{6,7}}=>{{1},{2,5},{3,4},{6,7}}
[1,5,3,4,6,2,7]=>[1,6,4,3,5,2,7]=>{{1},{2,6},{3,4},{5},{7}}=>{{1},{2,4},{3,6},{5},{7}}=>{{1},{2,6},{3,4},{5},{7}}
[1,5,3,4,6,7,2]=>[1,7,4,3,5,6,2]=>{{1},{2,7},{3,4},{5},{6}}=>{{1},{2,4},{3,7},{5},{6}}=>{{1},{2,7},{3,4},{5},{6}}
[1,5,3,4,7,2,6]=>[1,6,4,3,7,2,5]=>{{1},{2,6},{3,4},{5,7}}=>{{1},{2,4},{3,7},{5,6}}=>{{1},{2,6},{3,4},{5,7}}
[1,5,3,4,7,6,2]=>[1,7,4,3,6,5,2]=>{{1},{2,7},{3,4},{5,6}}=>{{1},{2,4},{3,6},{5,7}}=>{{1},{2,7},{3,4},{5,6}}
[1,5,3,6,2,4,7]=>[1,6,5,4,3,2,7]=>{{1},{2,6},{3,5},{4},{7}}=>{{1},{2,5},{3,6},{4},{7}}=>{{1},{2,6},{3,5},{4},{7}}
[1,5,3,6,2,7,4]=>[1,7,5,4,3,6,2]=>{{1},{2,7},{3,5},{4},{6}}=>{{1},{2,5},{3,7},{4},{6}}=>{{1},{2,7},{3,5},{4},{6}}
[1,5,3,6,4,2,7]=>[1,6,5,4,3,2,7]=>{{1},{2,6},{3,5},{4},{7}}=>{{1},{2,5},{3,6},{4},{7}}=>{{1},{2,6},{3,5},{4},{7}}
[1,5,3,6,4,7,2]=>[1,7,5,4,3,6,2]=>{{1},{2,7},{3,5},{4},{6}}=>{{1},{2,5},{3,7},{4},{6}}=>{{1},{2,7},{3,5},{4},{6}}
[1,5,3,6,7,2,4]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,5,3,6,7,4,2]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,5,3,7,2,4,6]=>[1,6,5,7,3,2,4]=>{{1},{2,6},{3,5},{4,7}}=>{{1},{2,7},{3,5},{4,6}}=>{{1},{2,6},{3,5},{4,7}}
[1,5,3,7,2,6,4]=>[1,7,5,6,3,4,2]=>{{1},{2,7},{3,5},{4,6}}=>{{1},{2,6},{3,5},{4,7}}=>{{1},{2,7},{3,5},{4,6}}
[1,5,3,7,4,2,6]=>[1,6,5,7,3,2,4]=>{{1},{2,6},{3,5},{4,7}}=>{{1},{2,7},{3,5},{4,6}}=>{{1},{2,6},{3,5},{4,7}}
[1,5,3,7,4,6,2]=>[1,7,5,6,3,4,2]=>{{1},{2,7},{3,5},{4,6}}=>{{1},{2,6},{3,5},{4,7}}=>{{1},{2,7},{3,5},{4,6}}
[1,5,3,7,6,2,4]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,5,3,7,6,4,2]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,5,4,2,3,6,7]=>[1,5,4,3,2,6,7]=>{{1},{2,5},{3,4},{6},{7}}=>{{1},{2,4},{3,5},{6},{7}}=>{{1},{2,5},{3,4},{6},{7}}
[1,5,4,2,3,7,6]=>[1,5,4,3,2,7,6]=>{{1},{2,5},{3,4},{6,7}}=>{{1},{2,4},{3,5},{6,7}}=>{{1},{2,5},{3,4},{6,7}}
[1,5,4,2,6,3,7]=>[1,6,4,3,5,2,7]=>{{1},{2,6},{3,4},{5},{7}}=>{{1},{2,4},{3,6},{5},{7}}=>{{1},{2,6},{3,4},{5},{7}}
[1,5,4,2,6,7,3]=>[1,7,4,3,5,6,2]=>{{1},{2,7},{3,4},{5},{6}}=>{{1},{2,4},{3,7},{5},{6}}=>{{1},{2,7},{3,4},{5},{6}}
[1,5,4,2,7,3,6]=>[1,6,4,3,7,2,5]=>{{1},{2,6},{3,4},{5,7}}=>{{1},{2,4},{3,7},{5,6}}=>{{1},{2,6},{3,4},{5,7}}
[1,5,4,2,7,6,3]=>[1,7,4,3,6,5,2]=>{{1},{2,7},{3,4},{5,6}}=>{{1},{2,4},{3,6},{5,7}}=>{{1},{2,7},{3,4},{5,6}}
[1,5,4,3,2,6,7]=>[1,5,4,3,2,6,7]=>{{1},{2,5},{3,4},{6},{7}}=>{{1},{2,4},{3,5},{6},{7}}=>{{1},{2,5},{3,4},{6},{7}}
[1,5,4,3,2,7,6]=>[1,5,4,3,2,7,6]=>{{1},{2,5},{3,4},{6,7}}=>{{1},{2,4},{3,5},{6,7}}=>{{1},{2,5},{3,4},{6,7}}
[1,5,4,3,6,2,7]=>[1,6,4,3,5,2,7]=>{{1},{2,6},{3,4},{5},{7}}=>{{1},{2,4},{3,6},{5},{7}}=>{{1},{2,6},{3,4},{5},{7}}
[1,5,4,3,6,7,2]=>[1,7,4,3,5,6,2]=>{{1},{2,7},{3,4},{5},{6}}=>{{1},{2,4},{3,7},{5},{6}}=>{{1},{2,7},{3,4},{5},{6}}
[1,5,4,3,7,2,6]=>[1,6,4,3,7,2,5]=>{{1},{2,6},{3,4},{5,7}}=>{{1},{2,4},{3,7},{5,6}}=>{{1},{2,6},{3,4},{5,7}}
[1,5,4,3,7,6,2]=>[1,7,4,3,6,5,2]=>{{1},{2,7},{3,4},{5,6}}=>{{1},{2,4},{3,6},{5,7}}=>{{1},{2,7},{3,4},{5,6}}
[1,5,4,6,2,3,7]=>[1,6,5,4,3,2,7]=>{{1},{2,6},{3,5},{4},{7}}=>{{1},{2,5},{3,6},{4},{7}}=>{{1},{2,6},{3,5},{4},{7}}
[1,5,4,6,2,7,3]=>[1,7,5,4,3,6,2]=>{{1},{2,7},{3,5},{4},{6}}=>{{1},{2,5},{3,7},{4},{6}}=>{{1},{2,7},{3,5},{4},{6}}
[1,5,4,6,3,2,7]=>[1,6,5,4,3,2,7]=>{{1},{2,6},{3,5},{4},{7}}=>{{1},{2,5},{3,6},{4},{7}}=>{{1},{2,6},{3,5},{4},{7}}
[1,5,4,6,3,7,2]=>[1,7,5,4,3,6,2]=>{{1},{2,7},{3,5},{4},{6}}=>{{1},{2,5},{3,7},{4},{6}}=>{{1},{2,7},{3,5},{4},{6}}
[1,5,4,6,7,2,3]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,5,4,6,7,3,2]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,5,4,7,2,3,6]=>[1,6,5,7,3,2,4]=>{{1},{2,6},{3,5},{4,7}}=>{{1},{2,7},{3,5},{4,6}}=>{{1},{2,6},{3,5},{4,7}}
[1,5,4,7,2,6,3]=>[1,7,5,6,3,4,2]=>{{1},{2,7},{3,5},{4,6}}=>{{1},{2,6},{3,5},{4,7}}=>{{1},{2,7},{3,5},{4,6}}
[1,5,4,7,3,2,6]=>[1,6,5,7,3,2,4]=>{{1},{2,6},{3,5},{4,7}}=>{{1},{2,7},{3,5},{4,6}}=>{{1},{2,6},{3,5},{4,7}}
[1,5,4,7,3,6,2]=>[1,7,5,6,3,4,2]=>{{1},{2,7},{3,5},{4,6}}=>{{1},{2,6},{3,5},{4,7}}=>{{1},{2,7},{3,5},{4,6}}
[1,5,4,7,6,2,3]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,5,4,7,6,3,2]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,5,6,2,3,4,7]=>[1,6,5,4,3,2,7]=>{{1},{2,6},{3,5},{4},{7}}=>{{1},{2,5},{3,6},{4},{7}}=>{{1},{2,6},{3,5},{4},{7}}
[1,5,6,2,3,7,4]=>[1,7,5,4,3,6,2]=>{{1},{2,7},{3,5},{4},{6}}=>{{1},{2,5},{3,7},{4},{6}}=>{{1},{2,7},{3,5},{4},{6}}
[1,5,6,2,4,3,7]=>[1,6,5,4,3,2,7]=>{{1},{2,6},{3,5},{4},{7}}=>{{1},{2,5},{3,6},{4},{7}}=>{{1},{2,6},{3,5},{4},{7}}
[1,5,6,2,4,7,3]=>[1,7,5,4,3,6,2]=>{{1},{2,7},{3,5},{4},{6}}=>{{1},{2,5},{3,7},{4},{6}}=>{{1},{2,7},{3,5},{4},{6}}
[1,5,6,2,7,3,4]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,5,6,2,7,4,3]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,5,6,3,2,4,7]=>[1,6,5,4,3,2,7]=>{{1},{2,6},{3,5},{4},{7}}=>{{1},{2,5},{3,6},{4},{7}}=>{{1},{2,6},{3,5},{4},{7}}
[1,5,6,3,2,7,4]=>[1,7,5,4,3,6,2]=>{{1},{2,7},{3,5},{4},{6}}=>{{1},{2,5},{3,7},{4},{6}}=>{{1},{2,7},{3,5},{4},{6}}
[1,5,6,3,4,2,7]=>[1,6,5,4,3,2,7]=>{{1},{2,6},{3,5},{4},{7}}=>{{1},{2,5},{3,6},{4},{7}}=>{{1},{2,6},{3,5},{4},{7}}
[1,5,6,3,4,7,2]=>[1,7,5,4,3,6,2]=>{{1},{2,7},{3,5},{4},{6}}=>{{1},{2,5},{3,7},{4},{6}}=>{{1},{2,7},{3,5},{4},{6}}
[1,5,6,3,7,2,4]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,5,6,3,7,4,2]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,5,6,4,2,3,7]=>[1,6,5,4,3,2,7]=>{{1},{2,6},{3,5},{4},{7}}=>{{1},{2,5},{3,6},{4},{7}}=>{{1},{2,6},{3,5},{4},{7}}
[1,5,6,4,2,7,3]=>[1,7,5,4,3,6,2]=>{{1},{2,7},{3,5},{4},{6}}=>{{1},{2,5},{3,7},{4},{6}}=>{{1},{2,7},{3,5},{4},{6}}
[1,5,6,4,3,2,7]=>[1,6,5,4,3,2,7]=>{{1},{2,6},{3,5},{4},{7}}=>{{1},{2,5},{3,6},{4},{7}}=>{{1},{2,6},{3,5},{4},{7}}
[1,5,6,4,3,7,2]=>[1,7,5,4,3,6,2]=>{{1},{2,7},{3,5},{4},{6}}=>{{1},{2,5},{3,7},{4},{6}}=>{{1},{2,7},{3,5},{4},{6}}
[1,5,6,4,7,2,3]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,5,6,4,7,3,2]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,5,6,7,2,3,4]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,5,6,7,2,4,3]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,5,6,7,3,2,4]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,5,6,7,3,4,2]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,5,6,7,4,2,3]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,5,6,7,4,3,2]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,5,7,2,3,4,6]=>[1,6,7,4,5,2,3]=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}
[1,5,7,2,3,6,4]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,5,7,2,4,3,6]=>[1,6,7,4,5,2,3]=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}
[1,5,7,2,4,6,3]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,5,7,2,6,3,4]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,5,7,2,6,4,3]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,5,7,3,2,4,6]=>[1,6,7,5,4,2,3]=>{{1},{2,6},{3,7},{4,5}}=>{{1},{2,5},{3,7},{4,6}}=>{{1},{2,6},{3,7},{4,5}}
[1,5,7,3,2,6,4]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,5,7,3,4,2,6]=>[1,6,7,5,4,2,3]=>{{1},{2,6},{3,7},{4,5}}=>{{1},{2,5},{3,7},{4,6}}=>{{1},{2,6},{3,7},{4,5}}
[1,5,7,3,4,6,2]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,5,7,3,6,2,4]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,5,7,3,6,4,2]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,5,7,4,2,3,6]=>[1,6,7,5,4,2,3]=>{{1},{2,6},{3,7},{4,5}}=>{{1},{2,5},{3,7},{4,6}}=>{{1},{2,6},{3,7},{4,5}}
[1,5,7,4,2,6,3]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,5,7,4,3,2,6]=>[1,6,7,5,4,2,3]=>{{1},{2,6},{3,7},{4,5}}=>{{1},{2,5},{3,7},{4,6}}=>{{1},{2,6},{3,7},{4,5}}
[1,5,7,4,3,6,2]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,5,7,4,6,2,3]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,5,7,4,6,3,2]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,5,7,6,2,3,4]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,5,7,6,2,4,3]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,5,7,6,3,2,4]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,5,7,6,3,4,2]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,5,7,6,4,2,3]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,5,7,6,4,3,2]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,6,2,3,4,5,7]=>[1,6,3,4,5,2,7]=>{{1},{2,6},{3},{4},{5},{7}}=>{{1},{2,6},{3},{4},{5},{7}}=>{{1},{2,6},{3},{4},{5},{7}}
[1,6,2,3,4,7,5]=>[1,7,3,4,5,6,2]=>{{1},{2,7},{3},{4},{5},{6}}=>{{1},{2,7},{3},{4},{5},{6}}=>{{1},{2,7},{3},{4},{5},{6}}
[1,6,2,3,5,4,7]=>[1,6,3,4,5,2,7]=>{{1},{2,6},{3},{4},{5},{7}}=>{{1},{2,6},{3},{4},{5},{7}}=>{{1},{2,6},{3},{4},{5},{7}}
[1,6,2,3,5,7,4]=>[1,7,3,4,5,6,2]=>{{1},{2,7},{3},{4},{5},{6}}=>{{1},{2,7},{3},{4},{5},{6}}=>{{1},{2,7},{3},{4},{5},{6}}
[1,6,2,3,7,4,5]=>[1,7,3,4,6,5,2]=>{{1},{2,7},{3},{4},{5,6}}=>{{1},{2,6},{3},{4},{5,7}}=>{{1},{2,7},{3},{4},{5,6}}
[1,6,2,3,7,5,4]=>[1,7,3,4,6,5,2]=>{{1},{2,7},{3},{4},{5,6}}=>{{1},{2,6},{3},{4},{5,7}}=>{{1},{2,7},{3},{4},{5,6}}
[1,6,2,4,3,5,7]=>[1,6,3,5,4,2,7]=>{{1},{2,6},{3},{4,5},{7}}=>{{1},{2,5},{3},{4,6},{7}}=>{{1},{2,6},{3},{4,5},{7}}
[1,6,2,4,3,7,5]=>[1,7,3,5,4,6,2]=>{{1},{2,7},{3},{4,5},{6}}=>{{1},{2,5},{3},{4,7},{6}}=>{{1},{2,7},{3},{4,5},{6}}
[1,6,2,4,5,3,7]=>[1,6,3,5,4,2,7]=>{{1},{2,6},{3},{4,5},{7}}=>{{1},{2,5},{3},{4,6},{7}}=>{{1},{2,6},{3},{4,5},{7}}
[1,6,2,4,5,7,3]=>[1,7,3,5,4,6,2]=>{{1},{2,7},{3},{4,5},{6}}=>{{1},{2,5},{3},{4,7},{6}}=>{{1},{2,7},{3},{4,5},{6}}
[1,6,2,4,7,3,5]=>[1,7,3,6,5,4,2]=>{{1},{2,7},{3},{4,6},{5}}=>{{1},{2,6},{3},{4,7},{5}}=>{{1},{2,7},{3},{4,6},{5}}
[1,6,2,4,7,5,3]=>[1,7,3,6,5,4,2]=>{{1},{2,7},{3},{4,6},{5}}=>{{1},{2,6},{3},{4,7},{5}}=>{{1},{2,7},{3},{4,6},{5}}
[1,6,2,5,3,4,7]=>[1,6,3,5,4,2,7]=>{{1},{2,6},{3},{4,5},{7}}=>{{1},{2,5},{3},{4,6},{7}}=>{{1},{2,6},{3},{4,5},{7}}
[1,6,2,5,3,7,4]=>[1,7,3,5,4,6,2]=>{{1},{2,7},{3},{4,5},{6}}=>{{1},{2,5},{3},{4,7},{6}}=>{{1},{2,7},{3},{4,5},{6}}
[1,6,2,5,4,3,7]=>[1,6,3,5,4,2,7]=>{{1},{2,6},{3},{4,5},{7}}=>{{1},{2,5},{3},{4,6},{7}}=>{{1},{2,6},{3},{4,5},{7}}
[1,6,2,5,4,7,3]=>[1,7,3,5,4,6,2]=>{{1},{2,7},{3},{4,5},{6}}=>{{1},{2,5},{3},{4,7},{6}}=>{{1},{2,7},{3},{4,5},{6}}
[1,6,2,5,7,3,4]=>[1,7,3,6,5,4,2]=>{{1},{2,7},{3},{4,6},{5}}=>{{1},{2,6},{3},{4,7},{5}}=>{{1},{2,7},{3},{4,6},{5}}
[1,6,2,5,7,4,3]=>[1,7,3,6,5,4,2]=>{{1},{2,7},{3},{4,6},{5}}=>{{1},{2,6},{3},{4,7},{5}}=>{{1},{2,7},{3},{4,6},{5}}
[1,6,2,7,3,4,5]=>[1,7,3,6,5,4,2]=>{{1},{2,7},{3},{4,6},{5}}=>{{1},{2,6},{3},{4,7},{5}}=>{{1},{2,7},{3},{4,6},{5}}
[1,6,2,7,3,5,4]=>[1,7,3,6,5,4,2]=>{{1},{2,7},{3},{4,6},{5}}=>{{1},{2,6},{3},{4,7},{5}}=>{{1},{2,7},{3},{4,6},{5}}
[1,6,2,7,4,3,5]=>[1,7,3,6,5,4,2]=>{{1},{2,7},{3},{4,6},{5}}=>{{1},{2,6},{3},{4,7},{5}}=>{{1},{2,7},{3},{4,6},{5}}
[1,6,2,7,4,5,3]=>[1,7,3,6,5,4,2]=>{{1},{2,7},{3},{4,6},{5}}=>{{1},{2,6},{3},{4,7},{5}}=>{{1},{2,7},{3},{4,6},{5}}
[1,6,2,7,5,3,4]=>[1,7,3,6,5,4,2]=>{{1},{2,7},{3},{4,6},{5}}=>{{1},{2,6},{3},{4,7},{5}}=>{{1},{2,7},{3},{4,6},{5}}
[1,6,2,7,5,4,3]=>[1,7,3,6,5,4,2]=>{{1},{2,7},{3},{4,6},{5}}=>{{1},{2,6},{3},{4,7},{5}}=>{{1},{2,7},{3},{4,6},{5}}
[1,6,3,2,4,5,7]=>[1,6,4,3,5,2,7]=>{{1},{2,6},{3,4},{5},{7}}=>{{1},{2,4},{3,6},{5},{7}}=>{{1},{2,6},{3,4},{5},{7}}
[1,6,3,2,4,7,5]=>[1,7,4,3,5,6,2]=>{{1},{2,7},{3,4},{5},{6}}=>{{1},{2,4},{3,7},{5},{6}}=>{{1},{2,7},{3,4},{5},{6}}
[1,6,3,2,5,4,7]=>[1,6,4,3,5,2,7]=>{{1},{2,6},{3,4},{5},{7}}=>{{1},{2,4},{3,6},{5},{7}}=>{{1},{2,6},{3,4},{5},{7}}
[1,6,3,2,5,7,4]=>[1,7,4,3,5,6,2]=>{{1},{2,7},{3,4},{5},{6}}=>{{1},{2,4},{3,7},{5},{6}}=>{{1},{2,7},{3,4},{5},{6}}
[1,6,3,2,7,4,5]=>[1,7,4,3,6,5,2]=>{{1},{2,7},{3,4},{5,6}}=>{{1},{2,4},{3,6},{5,7}}=>{{1},{2,7},{3,4},{5,6}}
[1,6,3,2,7,5,4]=>[1,7,4,3,6,5,2]=>{{1},{2,7},{3,4},{5,6}}=>{{1},{2,4},{3,6},{5,7}}=>{{1},{2,7},{3,4},{5,6}}
[1,6,3,4,2,5,7]=>[1,6,5,4,3,2,7]=>{{1},{2,6},{3,5},{4},{7}}=>{{1},{2,5},{3,6},{4},{7}}=>{{1},{2,6},{3,5},{4},{7}}
[1,6,3,4,2,7,5]=>[1,7,5,4,3,6,2]=>{{1},{2,7},{3,5},{4},{6}}=>{{1},{2,5},{3,7},{4},{6}}=>{{1},{2,7},{3,5},{4},{6}}
[1,6,3,4,5,2,7]=>[1,6,5,4,3,2,7]=>{{1},{2,6},{3,5},{4},{7}}=>{{1},{2,5},{3,6},{4},{7}}=>{{1},{2,6},{3,5},{4},{7}}
[1,6,3,4,5,7,2]=>[1,7,5,4,3,6,2]=>{{1},{2,7},{3,5},{4},{6}}=>{{1},{2,5},{3,7},{4},{6}}=>{{1},{2,7},{3,5},{4},{6}}
[1,6,3,4,7,2,5]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,6,3,4,7,5,2]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,6,3,5,2,4,7]=>[1,6,5,4,3,2,7]=>{{1},{2,6},{3,5},{4},{7}}=>{{1},{2,5},{3,6},{4},{7}}=>{{1},{2,6},{3,5},{4},{7}}
[1,6,3,5,2,7,4]=>[1,7,5,4,3,6,2]=>{{1},{2,7},{3,5},{4},{6}}=>{{1},{2,5},{3,7},{4},{6}}=>{{1},{2,7},{3,5},{4},{6}}
[1,6,3,5,4,2,7]=>[1,6,5,4,3,2,7]=>{{1},{2,6},{3,5},{4},{7}}=>{{1},{2,5},{3,6},{4},{7}}=>{{1},{2,6},{3,5},{4},{7}}
[1,6,3,5,4,7,2]=>[1,7,5,4,3,6,2]=>{{1},{2,7},{3,5},{4},{6}}=>{{1},{2,5},{3,7},{4},{6}}=>{{1},{2,7},{3,5},{4},{6}}
[1,6,3,5,7,2,4]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,6,3,5,7,4,2]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,6,3,7,2,4,5]=>[1,7,5,6,3,4,2]=>{{1},{2,7},{3,5},{4,6}}=>{{1},{2,6},{3,5},{4,7}}=>{{1},{2,7},{3,5},{4,6}}
[1,6,3,7,2,5,4]=>[1,7,5,6,3,4,2]=>{{1},{2,7},{3,5},{4,6}}=>{{1},{2,6},{3,5},{4,7}}=>{{1},{2,7},{3,5},{4,6}}
[1,6,3,7,4,2,5]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,6,3,7,4,5,2]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,6,3,7,5,2,4]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,6,3,7,5,4,2]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,6,4,2,3,5,7]=>[1,6,5,4,3,2,7]=>{{1},{2,6},{3,5},{4},{7}}=>{{1},{2,5},{3,6},{4},{7}}=>{{1},{2,6},{3,5},{4},{7}}
[1,6,4,2,3,7,5]=>[1,7,5,4,3,6,2]=>{{1},{2,7},{3,5},{4},{6}}=>{{1},{2,5},{3,7},{4},{6}}=>{{1},{2,7},{3,5},{4},{6}}
[1,6,4,2,5,3,7]=>[1,6,5,4,3,2,7]=>{{1},{2,6},{3,5},{4},{7}}=>{{1},{2,5},{3,6},{4},{7}}=>{{1},{2,6},{3,5},{4},{7}}
[1,6,4,2,5,7,3]=>[1,7,5,4,3,6,2]=>{{1},{2,7},{3,5},{4},{6}}=>{{1},{2,5},{3,7},{4},{6}}=>{{1},{2,7},{3,5},{4},{6}}
[1,6,4,2,7,3,5]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,6,4,2,7,5,3]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,6,4,3,2,5,7]=>[1,6,5,4,3,2,7]=>{{1},{2,6},{3,5},{4},{7}}=>{{1},{2,5},{3,6},{4},{7}}=>{{1},{2,6},{3,5},{4},{7}}
[1,6,4,3,2,7,5]=>[1,7,5,4,3,6,2]=>{{1},{2,7},{3,5},{4},{6}}=>{{1},{2,5},{3,7},{4},{6}}=>{{1},{2,7},{3,5},{4},{6}}
[1,6,4,3,5,2,7]=>[1,6,5,4,3,2,7]=>{{1},{2,6},{3,5},{4},{7}}=>{{1},{2,5},{3,6},{4},{7}}=>{{1},{2,6},{3,5},{4},{7}}
[1,6,4,3,5,7,2]=>[1,7,5,4,3,6,2]=>{{1},{2,7},{3,5},{4},{6}}=>{{1},{2,5},{3,7},{4},{6}}=>{{1},{2,7},{3,5},{4},{6}}
[1,6,4,3,7,2,5]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,6,4,3,7,5,2]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,6,4,5,2,3,7]=>[1,6,5,4,3,2,7]=>{{1},{2,6},{3,5},{4},{7}}=>{{1},{2,5},{3,6},{4},{7}}=>{{1},{2,6},{3,5},{4},{7}}
[1,6,4,5,2,7,3]=>[1,7,5,4,3,6,2]=>{{1},{2,7},{3,5},{4},{6}}=>{{1},{2,5},{3,7},{4},{6}}=>{{1},{2,7},{3,5},{4},{6}}
[1,6,4,5,3,2,7]=>[1,6,5,4,3,2,7]=>{{1},{2,6},{3,5},{4},{7}}=>{{1},{2,5},{3,6},{4},{7}}=>{{1},{2,6},{3,5},{4},{7}}
[1,6,4,5,3,7,2]=>[1,7,5,4,3,6,2]=>{{1},{2,7},{3,5},{4},{6}}=>{{1},{2,5},{3,7},{4},{6}}=>{{1},{2,7},{3,5},{4},{6}}
[1,6,4,5,7,2,3]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,6,4,5,7,3,2]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,6,4,7,2,3,5]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,6,4,7,2,5,3]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,6,4,7,3,2,5]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,6,4,7,3,5,2]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,6,4,7,5,2,3]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,6,4,7,5,3,2]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,6,5,2,3,4,7]=>[1,6,5,4,3,2,7]=>{{1},{2,6},{3,5},{4},{7}}=>{{1},{2,5},{3,6},{4},{7}}=>{{1},{2,6},{3,5},{4},{7}}
[1,6,5,2,3,7,4]=>[1,7,5,4,3,6,2]=>{{1},{2,7},{3,5},{4},{6}}=>{{1},{2,5},{3,7},{4},{6}}=>{{1},{2,7},{3,5},{4},{6}}
[1,6,5,2,4,3,7]=>[1,6,5,4,3,2,7]=>{{1},{2,6},{3,5},{4},{7}}=>{{1},{2,5},{3,6},{4},{7}}=>{{1},{2,6},{3,5},{4},{7}}
[1,6,5,2,4,7,3]=>[1,7,5,4,3,6,2]=>{{1},{2,7},{3,5},{4},{6}}=>{{1},{2,5},{3,7},{4},{6}}=>{{1},{2,7},{3,5},{4},{6}}
[1,6,5,2,7,3,4]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,6,5,2,7,4,3]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,6,5,3,2,4,7]=>[1,6,5,4,3,2,7]=>{{1},{2,6},{3,5},{4},{7}}=>{{1},{2,5},{3,6},{4},{7}}=>{{1},{2,6},{3,5},{4},{7}}
[1,6,5,3,2,7,4]=>[1,7,5,4,3,6,2]=>{{1},{2,7},{3,5},{4},{6}}=>{{1},{2,5},{3,7},{4},{6}}=>{{1},{2,7},{3,5},{4},{6}}
[1,6,5,3,4,2,7]=>[1,6,5,4,3,2,7]=>{{1},{2,6},{3,5},{4},{7}}=>{{1},{2,5},{3,6},{4},{7}}=>{{1},{2,6},{3,5},{4},{7}}
[1,6,5,3,4,7,2]=>[1,7,5,4,3,6,2]=>{{1},{2,7},{3,5},{4},{6}}=>{{1},{2,5},{3,7},{4},{6}}=>{{1},{2,7},{3,5},{4},{6}}
[1,6,5,3,7,2,4]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,6,5,3,7,4,2]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,6,5,4,2,3,7]=>[1,6,5,4,3,2,7]=>{{1},{2,6},{3,5},{4},{7}}=>{{1},{2,5},{3,6},{4},{7}}=>{{1},{2,6},{3,5},{4},{7}}
[1,6,5,4,2,7,3]=>[1,7,5,4,3,6,2]=>{{1},{2,7},{3,5},{4},{6}}=>{{1},{2,5},{3,7},{4},{6}}=>{{1},{2,7},{3,5},{4},{6}}
[1,6,5,4,3,2,7]=>[1,6,5,4,3,2,7]=>{{1},{2,6},{3,5},{4},{7}}=>{{1},{2,5},{3,6},{4},{7}}=>{{1},{2,6},{3,5},{4},{7}}
[1,6,5,4,3,7,2]=>[1,7,5,4,3,6,2]=>{{1},{2,7},{3,5},{4},{6}}=>{{1},{2,5},{3,7},{4},{6}}=>{{1},{2,7},{3,5},{4},{6}}
[1,6,5,4,7,2,3]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,6,5,4,7,3,2]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,6,5,7,2,3,4]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,6,5,7,2,4,3]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,6,5,7,3,2,4]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,6,5,7,3,4,2]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,6,5,7,4,2,3]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,6,5,7,4,3,2]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,6,7,2,3,4,5]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,6,7,2,3,5,4]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,6,7,2,4,3,5]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,6,7,2,4,5,3]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,6,7,2,5,3,4]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,6,7,2,5,4,3]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,6,7,3,2,4,5]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,6,7,3,2,5,4]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,6,7,3,4,2,5]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,6,7,3,4,5,2]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,6,7,3,5,2,4]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,6,7,3,5,4,2]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,6,7,4,2,3,5]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,6,7,4,2,5,3]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,6,7,4,3,2,5]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,6,7,4,3,5,2]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,6,7,4,5,2,3]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,6,7,4,5,3,2]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,6,7,5,2,3,4]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,6,7,5,2,4,3]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,6,7,5,3,2,4]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,6,7,5,3,4,2]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,6,7,5,4,2,3]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,6,7,5,4,3,2]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,7,2,3,4,5,6]=>[1,7,3,4,5,6,2]=>{{1},{2,7},{3},{4},{5},{6}}=>{{1},{2,7},{3},{4},{5},{6}}=>{{1},{2,7},{3},{4},{5},{6}}
[1,7,2,3,4,6,5]=>[1,7,3,4,5,6,2]=>{{1},{2,7},{3},{4},{5},{6}}=>{{1},{2,7},{3},{4},{5},{6}}=>{{1},{2,7},{3},{4},{5},{6}}
[1,7,2,3,5,4,6]=>[1,7,3,4,6,5,2]=>{{1},{2,7},{3},{4},{5,6}}=>{{1},{2,6},{3},{4},{5,7}}=>{{1},{2,7},{3},{4},{5,6}}
[1,7,2,3,5,6,4]=>[1,7,3,4,6,5,2]=>{{1},{2,7},{3},{4},{5,6}}=>{{1},{2,6},{3},{4},{5,7}}=>{{1},{2,7},{3},{4},{5,6}}
[1,7,2,3,6,4,5]=>[1,7,3,4,6,5,2]=>{{1},{2,7},{3},{4},{5,6}}=>{{1},{2,6},{3},{4},{5,7}}=>{{1},{2,7},{3},{4},{5,6}}
[1,7,2,3,6,5,4]=>[1,7,3,4,6,5,2]=>{{1},{2,7},{3},{4},{5,6}}=>{{1},{2,6},{3},{4},{5,7}}=>{{1},{2,7},{3},{4},{5,6}}
[1,7,2,4,3,5,6]=>[1,7,3,5,4,6,2]=>{{1},{2,7},{3},{4,5},{6}}=>{{1},{2,5},{3},{4,7},{6}}=>{{1},{2,7},{3},{4,5},{6}}
[1,7,2,4,3,6,5]=>[1,7,3,5,4,6,2]=>{{1},{2,7},{3},{4,5},{6}}=>{{1},{2,5},{3},{4,7},{6}}=>{{1},{2,7},{3},{4,5},{6}}
[1,7,2,4,5,3,6]=>[1,7,3,6,5,4,2]=>{{1},{2,7},{3},{4,6},{5}}=>{{1},{2,6},{3},{4,7},{5}}=>{{1},{2,7},{3},{4,6},{5}}
[1,7,2,4,5,6,3]=>[1,7,3,6,5,4,2]=>{{1},{2,7},{3},{4,6},{5}}=>{{1},{2,6},{3},{4,7},{5}}=>{{1},{2,7},{3},{4,6},{5}}
[1,7,2,4,6,3,5]=>[1,7,3,6,5,4,2]=>{{1},{2,7},{3},{4,6},{5}}=>{{1},{2,6},{3},{4,7},{5}}=>{{1},{2,7},{3},{4,6},{5}}
[1,7,2,4,6,5,3]=>[1,7,3,6,5,4,2]=>{{1},{2,7},{3},{4,6},{5}}=>{{1},{2,6},{3},{4,7},{5}}=>{{1},{2,7},{3},{4,6},{5}}
[1,7,2,5,3,4,6]=>[1,7,3,6,5,4,2]=>{{1},{2,7},{3},{4,6},{5}}=>{{1},{2,6},{3},{4,7},{5}}=>{{1},{2,7},{3},{4,6},{5}}
[1,7,2,5,3,6,4]=>[1,7,3,6,5,4,2]=>{{1},{2,7},{3},{4,6},{5}}=>{{1},{2,6},{3},{4,7},{5}}=>{{1},{2,7},{3},{4,6},{5}}
[1,7,2,5,4,3,6]=>[1,7,3,6,5,4,2]=>{{1},{2,7},{3},{4,6},{5}}=>{{1},{2,6},{3},{4,7},{5}}=>{{1},{2,7},{3},{4,6},{5}}
[1,7,2,5,4,6,3]=>[1,7,3,6,5,4,2]=>{{1},{2,7},{3},{4,6},{5}}=>{{1},{2,6},{3},{4,7},{5}}=>{{1},{2,7},{3},{4,6},{5}}
[1,7,2,5,6,3,4]=>[1,7,3,6,5,4,2]=>{{1},{2,7},{3},{4,6},{5}}=>{{1},{2,6},{3},{4,7},{5}}=>{{1},{2,7},{3},{4,6},{5}}
[1,7,2,5,6,4,3]=>[1,7,3,6,5,4,2]=>{{1},{2,7},{3},{4,6},{5}}=>{{1},{2,6},{3},{4,7},{5}}=>{{1},{2,7},{3},{4,6},{5}}
[1,7,2,6,3,4,5]=>[1,7,3,6,5,4,2]=>{{1},{2,7},{3},{4,6},{5}}=>{{1},{2,6},{3},{4,7},{5}}=>{{1},{2,7},{3},{4,6},{5}}
[1,7,2,6,3,5,4]=>[1,7,3,6,5,4,2]=>{{1},{2,7},{3},{4,6},{5}}=>{{1},{2,6},{3},{4,7},{5}}=>{{1},{2,7},{3},{4,6},{5}}
[1,7,2,6,4,3,5]=>[1,7,3,6,5,4,2]=>{{1},{2,7},{3},{4,6},{5}}=>{{1},{2,6},{3},{4,7},{5}}=>{{1},{2,7},{3},{4,6},{5}}
[1,7,2,6,4,5,3]=>[1,7,3,6,5,4,2]=>{{1},{2,7},{3},{4,6},{5}}=>{{1},{2,6},{3},{4,7},{5}}=>{{1},{2,7},{3},{4,6},{5}}
[1,7,2,6,5,3,4]=>[1,7,3,6,5,4,2]=>{{1},{2,7},{3},{4,6},{5}}=>{{1},{2,6},{3},{4,7},{5}}=>{{1},{2,7},{3},{4,6},{5}}
[1,7,2,6,5,4,3]=>[1,7,3,6,5,4,2]=>{{1},{2,7},{3},{4,6},{5}}=>{{1},{2,6},{3},{4,7},{5}}=>{{1},{2,7},{3},{4,6},{5}}
[1,7,3,2,4,5,6]=>[1,7,4,3,5,6,2]=>{{1},{2,7},{3,4},{5},{6}}=>{{1},{2,4},{3,7},{5},{6}}=>{{1},{2,7},{3,4},{5},{6}}
[1,7,3,2,4,6,5]=>[1,7,4,3,5,6,2]=>{{1},{2,7},{3,4},{5},{6}}=>{{1},{2,4},{3,7},{5},{6}}=>{{1},{2,7},{3,4},{5},{6}}
[1,7,3,2,5,4,6]=>[1,7,4,3,6,5,2]=>{{1},{2,7},{3,4},{5,6}}=>{{1},{2,4},{3,6},{5,7}}=>{{1},{2,7},{3,4},{5,6}}
[1,7,3,2,5,6,4]=>[1,7,4,3,6,5,2]=>{{1},{2,7},{3,4},{5,6}}=>{{1},{2,4},{3,6},{5,7}}=>{{1},{2,7},{3,4},{5,6}}
[1,7,3,2,6,4,5]=>[1,7,4,3,6,5,2]=>{{1},{2,7},{3,4},{5,6}}=>{{1},{2,4},{3,6},{5,7}}=>{{1},{2,7},{3,4},{5,6}}
[1,7,3,2,6,5,4]=>[1,7,4,3,6,5,2]=>{{1},{2,7},{3,4},{5,6}}=>{{1},{2,4},{3,6},{5,7}}=>{{1},{2,7},{3,4},{5,6}}
[1,7,3,4,2,5,6]=>[1,7,5,4,3,6,2]=>{{1},{2,7},{3,5},{4},{6}}=>{{1},{2,5},{3,7},{4},{6}}=>{{1},{2,7},{3,5},{4},{6}}
[1,7,3,4,2,6,5]=>[1,7,5,4,3,6,2]=>{{1},{2,7},{3,5},{4},{6}}=>{{1},{2,5},{3,7},{4},{6}}=>{{1},{2,7},{3,5},{4},{6}}
[1,7,3,4,5,2,6]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,7,3,4,5,6,2]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,7,3,4,6,2,5]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,7,3,4,6,5,2]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,7,3,5,2,4,6]=>[1,7,5,6,3,4,2]=>{{1},{2,7},{3,5},{4,6}}=>{{1},{2,6},{3,5},{4,7}}=>{{1},{2,7},{3,5},{4,6}}
[1,7,3,5,2,6,4]=>[1,7,5,6,3,4,2]=>{{1},{2,7},{3,5},{4,6}}=>{{1},{2,6},{3,5},{4,7}}=>{{1},{2,7},{3,5},{4,6}}
[1,7,3,5,4,2,6]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,7,3,5,4,6,2]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,7,3,5,6,2,4]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,7,3,5,6,4,2]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,7,3,6,2,4,5]=>[1,7,5,6,3,4,2]=>{{1},{2,7},{3,5},{4,6}}=>{{1},{2,6},{3,5},{4,7}}=>{{1},{2,7},{3,5},{4,6}}
[1,7,3,6,2,5,4]=>[1,7,5,6,3,4,2]=>{{1},{2,7},{3,5},{4,6}}=>{{1},{2,6},{3,5},{4,7}}=>{{1},{2,7},{3,5},{4,6}}
[1,7,3,6,4,2,5]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,7,3,6,4,5,2]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,7,3,6,5,2,4]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,7,3,6,5,4,2]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,7,4,2,3,5,6]=>[1,7,5,4,3,6,2]=>{{1},{2,7},{3,5},{4},{6}}=>{{1},{2,5},{3,7},{4},{6}}=>{{1},{2,7},{3,5},{4},{6}}
[1,7,4,2,3,6,5]=>[1,7,5,4,3,6,2]=>{{1},{2,7},{3,5},{4},{6}}=>{{1},{2,5},{3,7},{4},{6}}=>{{1},{2,7},{3,5},{4},{6}}
[1,7,4,2,5,3,6]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,7,4,2,5,6,3]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,7,4,2,6,3,5]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,7,4,2,6,5,3]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,7,4,3,2,5,6]=>[1,7,5,4,3,6,2]=>{{1},{2,7},{3,5},{4},{6}}=>{{1},{2,5},{3,7},{4},{6}}=>{{1},{2,7},{3,5},{4},{6}}
[1,7,4,3,2,6,5]=>[1,7,5,4,3,6,2]=>{{1},{2,7},{3,5},{4},{6}}=>{{1},{2,5},{3,7},{4},{6}}=>{{1},{2,7},{3,5},{4},{6}}
[1,7,4,3,5,2,6]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,7,4,3,5,6,2]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,7,4,3,6,2,5]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,7,4,3,6,5,2]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,7,4,5,2,3,6]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,7,4,5,2,6,3]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,7,4,5,3,2,6]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,7,4,5,3,6,2]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,7,4,5,6,2,3]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,7,4,5,6,3,2]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,7,4,6,2,3,5]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,7,4,6,2,5,3]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,7,4,6,3,2,5]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,7,4,6,3,5,2]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,7,4,6,5,2,3]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,7,4,6,5,3,2]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,7,5,2,3,4,6]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,7,5,2,3,6,4]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,7,5,2,4,3,6]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,7,5,2,4,6,3]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,7,5,2,6,3,4]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,7,5,2,6,4,3]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,7,5,3,2,4,6]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,7,5,3,2,6,4]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,7,5,3,4,2,6]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,7,5,3,4,6,2]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,7,5,3,6,2,4]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,7,5,3,6,4,2]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,7,5,4,2,3,6]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,7,5,4,2,6,3]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,7,5,4,3,2,6]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,7,5,4,3,6,2]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,7,5,4,6,2,3]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,7,5,4,6,3,2]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,7,5,6,2,3,4]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,7,5,6,2,4,3]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,7,5,6,3,2,4]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,7,5,6,3,4,2]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,7,5,6,4,2,3]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,7,5,6,4,3,2]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,7,6,2,3,4,5]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,7,6,2,3,5,4]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,7,6,2,4,3,5]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,7,6,2,4,5,3]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,7,6,2,5,3,4]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,7,6,2,5,4,3]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
[1,7,6,3,2,4,5]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,7,6,3,2,5,4]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,7,6,3,4,2,5]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,7,6,3,4,5,2]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,7,6,3,5,2,4]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,7,6,3,5,4,2]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,7,6,4,2,3,5]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,7,6,4,2,5,3]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,7,6,4,3,2,5]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,7,6,4,3,5,2]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,7,6,4,5,2,3]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,7,6,5,2,3,4]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,7,6,5,2,4,3]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,7,6,5,3,2,4]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,7,6,5,3,4,2]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,7,6,5,4,2,3]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>{{1,2},{3},{4},{5},{6},{7}}=>{{1,2},{3},{4},{5},{6},{7}}=>{{1,2},{3},{4},{5},{6},{7}}
[2,1,3,4,5,7,6]=>[2,1,3,4,5,7,6]=>{{1,2},{3},{4},{5},{6,7}}=>{{1,2},{3},{4},{5},{6,7}}=>{{1,2},{3},{4},{5},{6,7}}
[2,1,3,4,6,5,7]=>[2,1,3,4,6,5,7]=>{{1,2},{3},{4},{5,6},{7}}=>{{1,2},{3},{4},{5,6},{7}}=>{{1,2},{3},{4},{5,6},{7}}
[2,1,3,4,6,7,5]=>[2,1,3,4,7,6,5]=>{{1,2},{3},{4},{5,7},{6}}=>{{1,2},{3},{4},{5,7},{6}}=>{{1,2},{3},{4},{5,7},{6}}
[2,1,3,4,7,5,6]=>[2,1,3,4,7,6,5]=>{{1,2},{3},{4},{5,7},{6}}=>{{1,2},{3},{4},{5,7},{6}}=>{{1,2},{3},{4},{5,7},{6}}
[2,1,3,4,7,6,5]=>[2,1,3,4,7,6,5]=>{{1,2},{3},{4},{5,7},{6}}=>{{1,2},{3},{4},{5,7},{6}}=>{{1,2},{3},{4},{5,7},{6}}
[2,1,3,5,4,6,7]=>[2,1,3,5,4,6,7]=>{{1,2},{3},{4,5},{6},{7}}=>{{1,2},{3},{4,5},{6},{7}}=>{{1,2},{3},{4,5},{6},{7}}
[2,1,3,5,4,7,6]=>[2,1,3,5,4,7,6]=>{{1,2},{3},{4,5},{6,7}}=>{{1,2},{3},{4,5},{6,7}}=>{{1,2},{3},{4,5},{6,7}}
[2,1,3,5,6,4,7]=>[2,1,3,6,5,4,7]=>{{1,2},{3},{4,6},{5},{7}}=>{{1,2},{3},{4,6},{5},{7}}=>{{1,2},{3},{4,6},{5},{7}}
[2,1,3,5,6,7,4]=>[2,1,3,7,5,6,4]=>{{1,2},{3},{4,7},{5},{6}}=>{{1,2},{3},{4,7},{5},{6}}=>{{1,2},{3},{4,7},{5},{6}}
[2,1,3,5,7,4,6]=>[2,1,3,6,7,4,5]=>{{1,2},{3},{4,6},{5,7}}=>{{1,2},{3},{4,7},{5,6}}=>{{1,2},{3},{4,6},{5,7}}
[2,1,3,5,7,6,4]=>[2,1,3,7,6,5,4]=>{{1,2},{3},{4,7},{5,6}}=>{{1,2},{3},{4,6},{5,7}}=>{{1,2},{3},{4,7},{5,6}}
[2,1,3,6,4,5,7]=>[2,1,3,6,5,4,7]=>{{1,2},{3},{4,6},{5},{7}}=>{{1,2},{3},{4,6},{5},{7}}=>{{1,2},{3},{4,6},{5},{7}}
[2,1,3,6,4,7,5]=>[2,1,3,7,5,6,4]=>{{1,2},{3},{4,7},{5},{6}}=>{{1,2},{3},{4,7},{5},{6}}=>{{1,2},{3},{4,7},{5},{6}}
[2,1,3,6,5,4,7]=>[2,1,3,6,5,4,7]=>{{1,2},{3},{4,6},{5},{7}}=>{{1,2},{3},{4,6},{5},{7}}=>{{1,2},{3},{4,6},{5},{7}}
[2,1,3,6,5,7,4]=>[2,1,3,7,5,6,4]=>{{1,2},{3},{4,7},{5},{6}}=>{{1,2},{3},{4,7},{5},{6}}=>{{1,2},{3},{4,7},{5},{6}}
[2,1,3,6,7,4,5]=>[2,1,3,7,6,5,4]=>{{1,2},{3},{4,7},{5,6}}=>{{1,2},{3},{4,6},{5,7}}=>{{1,2},{3},{4,7},{5,6}}
[2,1,3,6,7,5,4]=>[2,1,3,7,6,5,4]=>{{1,2},{3},{4,7},{5,6}}=>{{1,2},{3},{4,6},{5,7}}=>{{1,2},{3},{4,7},{5,6}}
[2,1,3,7,4,5,6]=>[2,1,3,7,5,6,4]=>{{1,2},{3},{4,7},{5},{6}}=>{{1,2},{3},{4,7},{5},{6}}=>{{1,2},{3},{4,7},{5},{6}}
[2,1,3,7,4,6,5]=>[2,1,3,7,5,6,4]=>{{1,2},{3},{4,7},{5},{6}}=>{{1,2},{3},{4,7},{5},{6}}=>{{1,2},{3},{4,7},{5},{6}}
[2,1,3,7,5,4,6]=>[2,1,3,7,6,5,4]=>{{1,2},{3},{4,7},{5,6}}=>{{1,2},{3},{4,6},{5,7}}=>{{1,2},{3},{4,7},{5,6}}
[2,1,3,7,5,6,4]=>[2,1,3,7,6,5,4]=>{{1,2},{3},{4,7},{5,6}}=>{{1,2},{3},{4,6},{5,7}}=>{{1,2},{3},{4,7},{5,6}}
[2,1,3,7,6,4,5]=>[2,1,3,7,6,5,4]=>{{1,2},{3},{4,7},{5,6}}=>{{1,2},{3},{4,6},{5,7}}=>{{1,2},{3},{4,7},{5,6}}
[2,1,3,7,6,5,4]=>[2,1,3,7,6,5,4]=>{{1,2},{3},{4,7},{5,6}}=>{{1,2},{3},{4,6},{5,7}}=>{{1,2},{3},{4,7},{5,6}}
[2,1,4,3,5,6,7]=>[2,1,4,3,5,6,7]=>{{1,2},{3,4},{5},{6},{7}}=>{{1,2},{3,4},{5},{6},{7}}=>{{1,2},{3,4},{5},{6},{7}}
[2,1,4,3,5,7,6]=>[2,1,4,3,5,7,6]=>{{1,2},{3,4},{5},{6,7}}=>{{1,2},{3,4},{5},{6,7}}=>{{1,2},{3,4},{5},{6,7}}
[2,1,4,3,6,5,7]=>[2,1,4,3,6,5,7]=>{{1,2},{3,4},{5,6},{7}}=>{{1,2},{3,4},{5,6},{7}}=>{{1,2},{3,4},{5,6},{7}}
[2,1,4,3,6,7,5]=>[2,1,4,3,7,6,5]=>{{1,2},{3,4},{5,7},{6}}=>{{1,2},{3,4},{5,7},{6}}=>{{1,2},{3,4},{5,7},{6}}
[2,1,4,3,7,5,6]=>[2,1,4,3,7,6,5]=>{{1,2},{3,4},{5,7},{6}}=>{{1,2},{3,4},{5,7},{6}}=>{{1,2},{3,4},{5,7},{6}}
[2,1,4,3,7,6,5]=>[2,1,4,3,7,6,5]=>{{1,2},{3,4},{5,7},{6}}=>{{1,2},{3,4},{5,7},{6}}=>{{1,2},{3,4},{5,7},{6}}
[2,1,4,5,3,6,7]=>[2,1,5,4,3,6,7]=>{{1,2},{3,5},{4},{6},{7}}=>{{1,2},{3,5},{4},{6},{7}}=>{{1,2},{3,5},{4},{6},{7}}
[2,1,4,5,3,7,6]=>[2,1,5,4,3,7,6]=>{{1,2},{3,5},{4},{6,7}}=>{{1,2},{3,5},{4},{6,7}}=>{{1,2},{3,5},{4},{6,7}}
[2,1,4,5,6,3,7]=>[2,1,6,4,5,3,7]=>{{1,2},{3,6},{4},{5},{7}}=>{{1,2},{3,6},{4},{5},{7}}=>{{1,2},{3,6},{4},{5},{7}}
[2,1,4,5,6,7,3]=>[2,1,7,4,5,6,3]=>{{1,2},{3,7},{4},{5},{6}}=>{{1,2},{3,7},{4},{5},{6}}=>{{1,2},{3,7},{4},{5},{6}}
[2,1,4,5,7,3,6]=>[2,1,6,4,7,3,5]=>{{1,2},{3,6},{4},{5,7}}=>{{1,2},{3,7},{4},{5,6}}=>{{1,2},{3,6},{4},{5,7}}
[2,1,4,5,7,6,3]=>[2,1,7,4,6,5,3]=>{{1,2},{3,7},{4},{5,6}}=>{{1,2},{3,6},{4},{5,7}}=>{{1,2},{3,7},{4},{5,6}}
[2,1,4,6,3,5,7]=>[2,1,5,6,3,4,7]=>{{1,2},{3,5},{4,6},{7}}=>{{1,2},{3,6},{4,5},{7}}=>{{1,2},{3,5},{4,6},{7}}
[2,1,4,6,3,7,5]=>[2,1,5,7,3,6,4]=>{{1,2},{3,5},{4,7},{6}}=>{{1,2},{3,7},{4,5},{6}}=>{{1,2},{3,5},{4,7},{6}}
[2,1,4,6,5,3,7]=>[2,1,6,5,4,3,7]=>{{1,2},{3,6},{4,5},{7}}=>{{1,2},{3,5},{4,6},{7}}=>{{1,2},{3,6},{4,5},{7}}
[2,1,4,6,5,7,3]=>[2,1,7,5,4,6,3]=>{{1,2},{3,7},{4,5},{6}}=>{{1,2},{3,5},{4,7},{6}}=>{{1,2},{3,7},{4,5},{6}}
[2,1,4,6,7,3,5]=>[2,1,6,7,5,3,4]=>{{1,2},{3,6},{4,7},{5}}=>{{1,2},{3,7},{4,6},{5}}=>{{1,2},{3,6},{4,7},{5}}
[2,1,4,6,7,5,3]=>[2,1,7,6,5,4,3]=>{{1,2},{3,7},{4,6},{5}}=>{{1,2},{3,6},{4,7},{5}}=>{{1,2},{3,7},{4,6},{5}}
[2,1,4,7,3,5,6]=>[2,1,5,7,3,6,4]=>{{1,2},{3,5},{4,7},{6}}=>{{1,2},{3,7},{4,5},{6}}=>{{1,2},{3,5},{4,7},{6}}
[2,1,4,7,3,6,5]=>[2,1,5,7,3,6,4]=>{{1,2},{3,5},{4,7},{6}}=>{{1,2},{3,7},{4,5},{6}}=>{{1,2},{3,5},{4,7},{6}}
[2,1,4,7,5,3,6]=>[2,1,6,7,5,3,4]=>{{1,2},{3,6},{4,7},{5}}=>{{1,2},{3,7},{4,6},{5}}=>{{1,2},{3,6},{4,7},{5}}
[2,1,4,7,5,6,3]=>[2,1,7,6,5,4,3]=>{{1,2},{3,7},{4,6},{5}}=>{{1,2},{3,6},{4,7},{5}}=>{{1,2},{3,7},{4,6},{5}}
[2,1,4,7,6,3,5]=>[2,1,6,7,5,3,4]=>{{1,2},{3,6},{4,7},{5}}=>{{1,2},{3,7},{4,6},{5}}=>{{1,2},{3,6},{4,7},{5}}
[2,1,4,7,6,5,3]=>[2,1,7,6,5,4,3]=>{{1,2},{3,7},{4,6},{5}}=>{{1,2},{3,6},{4,7},{5}}=>{{1,2},{3,7},{4,6},{5}}
[2,1,5,3,4,6,7]=>[2,1,5,4,3,6,7]=>{{1,2},{3,5},{4},{6},{7}}=>{{1,2},{3,5},{4},{6},{7}}=>{{1,2},{3,5},{4},{6},{7}}
[2,1,5,3,4,7,6]=>[2,1,5,4,3,7,6]=>{{1,2},{3,5},{4},{6,7}}=>{{1,2},{3,5},{4},{6,7}}=>{{1,2},{3,5},{4},{6,7}}
[2,1,5,3,6,4,7]=>[2,1,6,4,5,3,7]=>{{1,2},{3,6},{4},{5},{7}}=>{{1,2},{3,6},{4},{5},{7}}=>{{1,2},{3,6},{4},{5},{7}}
[2,1,5,3,6,7,4]=>[2,1,7,4,5,6,3]=>{{1,2},{3,7},{4},{5},{6}}=>{{1,2},{3,7},{4},{5},{6}}=>{{1,2},{3,7},{4},{5},{6}}
[2,1,5,3,7,4,6]=>[2,1,6,4,7,3,5]=>{{1,2},{3,6},{4},{5,7}}=>{{1,2},{3,7},{4},{5,6}}=>{{1,2},{3,6},{4},{5,7}}
[2,1,5,3,7,6,4]=>[2,1,7,4,6,5,3]=>{{1,2},{3,7},{4},{5,6}}=>{{1,2},{3,6},{4},{5,7}}=>{{1,2},{3,7},{4},{5,6}}
[2,1,5,4,3,6,7]=>[2,1,5,4,3,6,7]=>{{1,2},{3,5},{4},{6},{7}}=>{{1,2},{3,5},{4},{6},{7}}=>{{1,2},{3,5},{4},{6},{7}}
[2,1,5,4,3,7,6]=>[2,1,5,4,3,7,6]=>{{1,2},{3,5},{4},{6,7}}=>{{1,2},{3,5},{4},{6,7}}=>{{1,2},{3,5},{4},{6,7}}
[2,1,5,4,6,3,7]=>[2,1,6,4,5,3,7]=>{{1,2},{3,6},{4},{5},{7}}=>{{1,2},{3,6},{4},{5},{7}}=>{{1,2},{3,6},{4},{5},{7}}
[2,1,5,4,6,7,3]=>[2,1,7,4,5,6,3]=>{{1,2},{3,7},{4},{5},{6}}=>{{1,2},{3,7},{4},{5},{6}}=>{{1,2},{3,7},{4},{5},{6}}
[2,1,5,4,7,3,6]=>[2,1,6,4,7,3,5]=>{{1,2},{3,6},{4},{5,7}}=>{{1,2},{3,7},{4},{5,6}}=>{{1,2},{3,6},{4},{5,7}}
[2,1,5,4,7,6,3]=>[2,1,7,4,6,5,3]=>{{1,2},{3,7},{4},{5,6}}=>{{1,2},{3,6},{4},{5,7}}=>{{1,2},{3,7},{4},{5,6}}
[2,1,5,6,3,4,7]=>[2,1,6,5,4,3,7]=>{{1,2},{3,6},{4,5},{7}}=>{{1,2},{3,5},{4,6},{7}}=>{{1,2},{3,6},{4,5},{7}}
[2,1,5,6,3,7,4]=>[2,1,7,5,4,6,3]=>{{1,2},{3,7},{4,5},{6}}=>{{1,2},{3,5},{4,7},{6}}=>{{1,2},{3,7},{4,5},{6}}
[2,1,5,6,4,3,7]=>[2,1,6,5,4,3,7]=>{{1,2},{3,6},{4,5},{7}}=>{{1,2},{3,5},{4,6},{7}}=>{{1,2},{3,6},{4,5},{7}}
[2,1,5,6,4,7,3]=>[2,1,7,5,4,6,3]=>{{1,2},{3,7},{4,5},{6}}=>{{1,2},{3,5},{4,7},{6}}=>{{1,2},{3,7},{4,5},{6}}
[2,1,5,6,7,3,4]=>[2,1,7,6,5,4,3]=>{{1,2},{3,7},{4,6},{5}}=>{{1,2},{3,6},{4,7},{5}}=>{{1,2},{3,7},{4,6},{5}}
[2,1,5,6,7,4,3]=>[2,1,7,6,5,4,3]=>{{1,2},{3,7},{4,6},{5}}=>{{1,2},{3,6},{4,7},{5}}=>{{1,2},{3,7},{4,6},{5}}
[2,1,5,7,3,4,6]=>[2,1,6,7,5,3,4]=>{{1,2},{3,6},{4,7},{5}}=>{{1,2},{3,7},{4,6},{5}}=>{{1,2},{3,6},{4,7},{5}}
[2,1,5,7,3,6,4]=>[2,1,7,6,5,4,3]=>{{1,2},{3,7},{4,6},{5}}=>{{1,2},{3,6},{4,7},{5}}=>{{1,2},{3,7},{4,6},{5}}
[2,1,5,7,4,3,6]=>[2,1,6,7,5,3,4]=>{{1,2},{3,6},{4,7},{5}}=>{{1,2},{3,7},{4,6},{5}}=>{{1,2},{3,6},{4,7},{5}}
[2,1,5,7,4,6,3]=>[2,1,7,6,5,4,3]=>{{1,2},{3,7},{4,6},{5}}=>{{1,2},{3,6},{4,7},{5}}=>{{1,2},{3,7},{4,6},{5}}
[2,1,5,7,6,3,4]=>[2,1,7,6,5,4,3]=>{{1,2},{3,7},{4,6},{5}}=>{{1,2},{3,6},{4,7},{5}}=>{{1,2},{3,7},{4,6},{5}}
[2,1,5,7,6,4,3]=>[2,1,7,6,5,4,3]=>{{1,2},{3,7},{4,6},{5}}=>{{1,2},{3,6},{4,7},{5}}=>{{1,2},{3,7},{4,6},{5}}
[2,1,6,3,4,5,7]=>[2,1,6,4,5,3,7]=>{{1,2},{3,6},{4},{5},{7}}=>{{1,2},{3,6},{4},{5},{7}}=>{{1,2},{3,6},{4},{5},{7}}
[2,1,6,3,4,7,5]=>[2,1,7,4,5,6,3]=>{{1,2},{3,7},{4},{5},{6}}=>{{1,2},{3,7},{4},{5},{6}}=>{{1,2},{3,7},{4},{5},{6}}
[2,1,6,3,5,4,7]=>[2,1,6,4,5,3,7]=>{{1,2},{3,6},{4},{5},{7}}=>{{1,2},{3,6},{4},{5},{7}}=>{{1,2},{3,6},{4},{5},{7}}
[2,1,6,3,5,7,4]=>[2,1,7,4,5,6,3]=>{{1,2},{3,7},{4},{5},{6}}=>{{1,2},{3,7},{4},{5},{6}}=>{{1,2},{3,7},{4},{5},{6}}
[2,1,6,3,7,4,5]=>[2,1,7,4,6,5,3]=>{{1,2},{3,7},{4},{5,6}}=>{{1,2},{3,6},{4},{5,7}}=>{{1,2},{3,7},{4},{5,6}}
[2,1,6,3,7,5,4]=>[2,1,7,4,6,5,3]=>{{1,2},{3,7},{4},{5,6}}=>{{1,2},{3,6},{4},{5,7}}=>{{1,2},{3,7},{4},{5,6}}
[2,1,6,4,3,5,7]=>[2,1,6,5,4,3,7]=>{{1,2},{3,6},{4,5},{7}}=>{{1,2},{3,5},{4,6},{7}}=>{{1,2},{3,6},{4,5},{7}}
[2,1,6,4,3,7,5]=>[2,1,7,5,4,6,3]=>{{1,2},{3,7},{4,5},{6}}=>{{1,2},{3,5},{4,7},{6}}=>{{1,2},{3,7},{4,5},{6}}
[2,1,6,4,5,3,7]=>[2,1,6,5,4,3,7]=>{{1,2},{3,6},{4,5},{7}}=>{{1,2},{3,5},{4,6},{7}}=>{{1,2},{3,6},{4,5},{7}}
[2,1,6,4,5,7,3]=>[2,1,7,5,4,6,3]=>{{1,2},{3,7},{4,5},{6}}=>{{1,2},{3,5},{4,7},{6}}=>{{1,2},{3,7},{4,5},{6}}
[2,1,6,4,7,3,5]=>[2,1,7,6,5,4,3]=>{{1,2},{3,7},{4,6},{5}}=>{{1,2},{3,6},{4,7},{5}}=>{{1,2},{3,7},{4,6},{5}}
[2,1,6,4,7,5,3]=>[2,1,7,6,5,4,3]=>{{1,2},{3,7},{4,6},{5}}=>{{1,2},{3,6},{4,7},{5}}=>{{1,2},{3,7},{4,6},{5}}
[2,1,6,5,3,4,7]=>[2,1,6,5,4,3,7]=>{{1,2},{3,6},{4,5},{7}}=>{{1,2},{3,5},{4,6},{7}}=>{{1,2},{3,6},{4,5},{7}}
[2,1,6,5,3,7,4]=>[2,1,7,5,4,6,3]=>{{1,2},{3,7},{4,5},{6}}=>{{1,2},{3,5},{4,7},{6}}=>{{1,2},{3,7},{4,5},{6}}
[2,1,6,5,4,3,7]=>[2,1,6,5,4,3,7]=>{{1,2},{3,6},{4,5},{7}}=>{{1,2},{3,5},{4,6},{7}}=>{{1,2},{3,6},{4,5},{7}}
[2,1,6,5,4,7,3]=>[2,1,7,5,4,6,3]=>{{1,2},{3,7},{4,5},{6}}=>{{1,2},{3,5},{4,7},{6}}=>{{1,2},{3,7},{4,5},{6}}
[2,1,6,5,7,3,4]=>[2,1,7,6,5,4,3]=>{{1,2},{3,7},{4,6},{5}}=>{{1,2},{3,6},{4,7},{5}}=>{{1,2},{3,7},{4,6},{5}}
[2,1,6,5,7,4,3]=>[2,1,7,6,5,4,3]=>{{1,2},{3,7},{4,6},{5}}=>{{1,2},{3,6},{4,7},{5}}=>{{1,2},{3,7},{4,6},{5}}
[2,1,6,7,3,4,5]=>[2,1,7,6,5,4,3]=>{{1,2},{3,7},{4,6},{5}}=>{{1,2},{3,6},{4,7},{5}}=>{{1,2},{3,7},{4,6},{5}}
[2,1,6,7,3,5,4]=>[2,1,7,6,5,4,3]=>{{1,2},{3,7},{4,6},{5}}=>{{1,2},{3,6},{4,7},{5}}=>{{1,2},{3,7},{4,6},{5}}
[2,1,6,7,4,3,5]=>[2,1,7,6,5,4,3]=>{{1,2},{3,7},{4,6},{5}}=>{{1,2},{3,6},{4,7},{5}}=>{{1,2},{3,7},{4,6},{5}}
[2,1,6,7,4,5,3]=>[2,1,7,6,5,4,3]=>{{1,2},{3,7},{4,6},{5}}=>{{1,2},{3,6},{4,7},{5}}=>{{1,2},{3,7},{4,6},{5}}
[2,1,6,7,5,3,4]=>[2,1,7,6,5,4,3]=>{{1,2},{3,7},{4,6},{5}}=>{{1,2},{3,6},{4,7},{5}}=>{{1,2},{3,7},{4,6},{5}}
[2,1,6,7,5,4,3]=>[2,1,7,6,5,4,3]=>{{1,2},{3,7},{4,6},{5}}=>{{1,2},{3,6},{4,7},{5}}=>{{1,2},{3,7},{4,6},{5}}
[2,1,7,3,4,5,6]=>[2,1,7,4,5,6,3]=>{{1,2},{3,7},{4},{5},{6}}=>{{1,2},{3,7},{4},{5},{6}}=>{{1,2},{3,7},{4},{5},{6}}
[2,1,7,3,4,6,5]=>[2,1,7,4,5,6,3]=>{{1,2},{3,7},{4},{5},{6}}=>{{1,2},{3,7},{4},{5},{6}}=>{{1,2},{3,7},{4},{5},{6}}
[2,1,7,3,5,4,6]=>[2,1,7,4,6,5,3]=>{{1,2},{3,7},{4},{5,6}}=>{{1,2},{3,6},{4},{5,7}}=>{{1,2},{3,7},{4},{5,6}}
[2,1,7,3,5,6,4]=>[2,1,7,4,6,5,3]=>{{1,2},{3,7},{4},{5,6}}=>{{1,2},{3,6},{4},{5,7}}=>{{1,2},{3,7},{4},{5,6}}
[2,1,7,3,6,4,5]=>[2,1,7,4,6,5,3]=>{{1,2},{3,7},{4},{5,6}}=>{{1,2},{3,6},{4},{5,7}}=>{{1,2},{3,7},{4},{5,6}}
[2,1,7,3,6,5,4]=>[2,1,7,4,6,5,3]=>{{1,2},{3,7},{4},{5,6}}=>{{1,2},{3,6},{4},{5,7}}=>{{1,2},{3,7},{4},{5,6}}
[2,1,7,4,3,5,6]=>[2,1,7,5,4,6,3]=>{{1,2},{3,7},{4,5},{6}}=>{{1,2},{3,5},{4,7},{6}}=>{{1,2},{3,7},{4,5},{6}}
[2,1,7,4,3,6,5]=>[2,1,7,5,4,6,3]=>{{1,2},{3,7},{4,5},{6}}=>{{1,2},{3,5},{4,7},{6}}=>{{1,2},{3,7},{4,5},{6}}
[2,1,7,4,5,3,6]=>[2,1,7,6,5,4,3]=>{{1,2},{3,7},{4,6},{5}}=>{{1,2},{3,6},{4,7},{5}}=>{{1,2},{3,7},{4,6},{5}}
[2,1,7,4,5,6,3]=>[2,1,7,6,5,4,3]=>{{1,2},{3,7},{4,6},{5}}=>{{1,2},{3,6},{4,7},{5}}=>{{1,2},{3,7},{4,6},{5}}
[2,1,7,4,6,3,5]=>[2,1,7,6,5,4,3]=>{{1,2},{3,7},{4,6},{5}}=>{{1,2},{3,6},{4,7},{5}}=>{{1,2},{3,7},{4,6},{5}}
[2,1,7,4,6,5,3]=>[2,1,7,6,5,4,3]=>{{1,2},{3,7},{4,6},{5}}=>{{1,2},{3,6},{4,7},{5}}=>{{1,2},{3,7},{4,6},{5}}
[2,1,7,5,3,4,6]=>[2,1,7,6,5,4,3]=>{{1,2},{3,7},{4,6},{5}}=>{{1,2},{3,6},{4,7},{5}}=>{{1,2},{3,7},{4,6},{5}}
[2,1,7,5,3,6,4]=>[2,1,7,6,5,4,3]=>{{1,2},{3,7},{4,6},{5}}=>{{1,2},{3,6},{4,7},{5}}=>{{1,2},{3,7},{4,6},{5}}
[2,1,7,5,4,3,6]=>[2,1,7,6,5,4,3]=>{{1,2},{3,7},{4,6},{5}}=>{{1,2},{3,6},{4,7},{5}}=>{{1,2},{3,7},{4,6},{5}}
[2,1,7,5,4,6,3]=>[2,1,7,6,5,4,3]=>{{1,2},{3,7},{4,6},{5}}=>{{1,2},{3,6},{4,7},{5}}=>{{1,2},{3,7},{4,6},{5}}
[2,1,7,5,6,3,4]=>[2,1,7,6,5,4,3]=>{{1,2},{3,7},{4,6},{5}}=>{{1,2},{3,6},{4,7},{5}}=>{{1,2},{3,7},{4,6},{5}}
[2,1,7,5,6,4,3]=>[2,1,7,6,5,4,3]=>{{1,2},{3,7},{4,6},{5}}=>{{1,2},{3,6},{4,7},{5}}=>{{1,2},{3,7},{4,6},{5}}
[2,1,7,6,3,4,5]=>[2,1,7,6,5,4,3]=>{{1,2},{3,7},{4,6},{5}}=>{{1,2},{3,6},{4,7},{5}}=>{{1,2},{3,7},{4,6},{5}}
[2,1,7,6,3,5,4]=>[2,1,7,6,5,4,3]=>{{1,2},{3,7},{4,6},{5}}=>{{1,2},{3,6},{4,7},{5}}=>{{1,2},{3,7},{4,6},{5}}
[2,1,7,6,4,3,5]=>[2,1,7,6,5,4,3]=>{{1,2},{3,7},{4,6},{5}}=>{{1,2},{3,6},{4,7},{5}}=>{{1,2},{3,7},{4,6},{5}}
[2,1,7,6,4,5,3]=>[2,1,7,6,5,4,3]=>{{1,2},{3,7},{4,6},{5}}=>{{1,2},{3,6},{4,7},{5}}=>{{1,2},{3,7},{4,6},{5}}
[2,1,7,6,5,3,4]=>[2,1,7,6,5,4,3]=>{{1,2},{3,7},{4,6},{5}}=>{{1,2},{3,6},{4,7},{5}}=>{{1,2},{3,7},{4,6},{5}}
[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>{{1,2},{3,7},{4,6},{5}}=>{{1,2},{3,6},{4,7},{5}}=>{{1,2},{3,7},{4,6},{5}}
[2,3,1,4,5,6,7]=>[3,2,1,4,5,6,7]=>{{1,3},{2},{4},{5},{6},{7}}=>{{1,3},{2},{4},{5},{6},{7}}=>{{1,3},{2},{4},{5},{6},{7}}
[2,3,1,4,5,7,6]=>[3,2,1,4,5,7,6]=>{{1,3},{2},{4},{5},{6,7}}=>{{1,3},{2},{4},{5},{6,7}}=>{{1,3},{2},{4},{5},{6,7}}
[2,3,1,4,6,5,7]=>[3,2,1,4,6,5,7]=>{{1,3},{2},{4},{5,6},{7}}=>{{1,3},{2},{4},{5,6},{7}}=>{{1,3},{2},{4},{5,6},{7}}
[2,3,1,4,6,7,5]=>[3,2,1,4,7,6,5]=>{{1,3},{2},{4},{5,7},{6}}=>{{1,3},{2},{4},{5,7},{6}}=>{{1,3},{2},{4},{5,7},{6}}
[2,3,1,4,7,5,6]=>[3,2,1,4,7,6,5]=>{{1,3},{2},{4},{5,7},{6}}=>{{1,3},{2},{4},{5,7},{6}}=>{{1,3},{2},{4},{5,7},{6}}
[2,3,1,4,7,6,5]=>[3,2,1,4,7,6,5]=>{{1,3},{2},{4},{5,7},{6}}=>{{1,3},{2},{4},{5,7},{6}}=>{{1,3},{2},{4},{5,7},{6}}
[2,3,1,5,4,6,7]=>[3,2,1,5,4,6,7]=>{{1,3},{2},{4,5},{6},{7}}=>{{1,3},{2},{4,5},{6},{7}}=>{{1,3},{2},{4,5},{6},{7}}
[2,3,1,5,4,7,6]=>[3,2,1,5,4,7,6]=>{{1,3},{2},{4,5},{6,7}}=>{{1,3},{2},{4,5},{6,7}}=>{{1,3},{2},{4,5},{6,7}}
[2,3,1,5,6,4,7]=>[3,2,1,6,5,4,7]=>{{1,3},{2},{4,6},{5},{7}}=>{{1,3},{2},{4,6},{5},{7}}=>{{1,3},{2},{4,6},{5},{7}}
[2,3,1,5,6,7,4]=>[3,2,1,7,5,6,4]=>{{1,3},{2},{4,7},{5},{6}}=>{{1,3},{2},{4,7},{5},{6}}=>{{1,3},{2},{4,7},{5},{6}}
[2,3,1,5,7,4,6]=>[3,2,1,6,7,4,5]=>{{1,3},{2},{4,6},{5,7}}=>{{1,3},{2},{4,7},{5,6}}=>{{1,3},{2},{4,6},{5,7}}
[2,3,1,5,7,6,4]=>[3,2,1,7,6,5,4]=>{{1,3},{2},{4,7},{5,6}}=>{{1,3},{2},{4,6},{5,7}}=>{{1,3},{2},{4,7},{5,6}}
[2,3,1,6,4,5,7]=>[3,2,1,6,5,4,7]=>{{1,3},{2},{4,6},{5},{7}}=>{{1,3},{2},{4,6},{5},{7}}=>{{1,3},{2},{4,6},{5},{7}}
[2,3,1,6,4,7,5]=>[3,2,1,7,5,6,4]=>{{1,3},{2},{4,7},{5},{6}}=>{{1,3},{2},{4,7},{5},{6}}=>{{1,3},{2},{4,7},{5},{6}}
[2,3,1,6,5,4,7]=>[3,2,1,6,5,4,7]=>{{1,3},{2},{4,6},{5},{7}}=>{{1,3},{2},{4,6},{5},{7}}=>{{1,3},{2},{4,6},{5},{7}}
[2,3,1,6,5,7,4]=>[3,2,1,7,5,6,4]=>{{1,3},{2},{4,7},{5},{6}}=>{{1,3},{2},{4,7},{5},{6}}=>{{1,3},{2},{4,7},{5},{6}}
[2,3,1,6,7,4,5]=>[3,2,1,7,6,5,4]=>{{1,3},{2},{4,7},{5,6}}=>{{1,3},{2},{4,6},{5,7}}=>{{1,3},{2},{4,7},{5,6}}
[2,3,1,6,7,5,4]=>[3,2,1,7,6,5,4]=>{{1,3},{2},{4,7},{5,6}}=>{{1,3},{2},{4,6},{5,7}}=>{{1,3},{2},{4,7},{5,6}}
[2,3,1,7,4,5,6]=>[3,2,1,7,5,6,4]=>{{1,3},{2},{4,7},{5},{6}}=>{{1,3},{2},{4,7},{5},{6}}=>{{1,3},{2},{4,7},{5},{6}}
[2,3,1,7,4,6,5]=>[3,2,1,7,5,6,4]=>{{1,3},{2},{4,7},{5},{6}}=>{{1,3},{2},{4,7},{5},{6}}=>{{1,3},{2},{4,7},{5},{6}}
[2,3,1,7,5,4,6]=>[3,2,1,7,6,5,4]=>{{1,3},{2},{4,7},{5,6}}=>{{1,3},{2},{4,6},{5,7}}=>{{1,3},{2},{4,7},{5,6}}
[2,3,1,7,5,6,4]=>[3,2,1,7,6,5,4]=>{{1,3},{2},{4,7},{5,6}}=>{{1,3},{2},{4,6},{5,7}}=>{{1,3},{2},{4,7},{5,6}}
[2,3,1,7,6,4,5]=>[3,2,1,7,6,5,4]=>{{1,3},{2},{4,7},{5,6}}=>{{1,3},{2},{4,6},{5,7}}=>{{1,3},{2},{4,7},{5,6}}
[2,3,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>{{1,3},{2},{4,7},{5,6}}=>{{1,3},{2},{4,6},{5,7}}=>{{1,3},{2},{4,7},{5,6}}
[2,3,4,1,5,6,7]=>[4,2,3,1,5,6,7]=>{{1,4},{2},{3},{5},{6},{7}}=>{{1,4},{2},{3},{5},{6},{7}}=>{{1,4},{2},{3},{5},{6},{7}}
[2,3,4,1,5,7,6]=>[4,2,3,1,5,7,6]=>{{1,4},{2},{3},{5},{6,7}}=>{{1,4},{2},{3},{5},{6,7}}=>{{1,4},{2},{3},{5},{6,7}}
[2,3,4,1,6,5,7]=>[4,2,3,1,6,5,7]=>{{1,4},{2},{3},{5,6},{7}}=>{{1,4},{2},{3},{5,6},{7}}=>{{1,4},{2},{3},{5,6},{7}}
[2,3,4,1,6,7,5]=>[4,2,3,1,7,6,5]=>{{1,4},{2},{3},{5,7},{6}}=>{{1,4},{2},{3},{5,7},{6}}=>{{1,4},{2},{3},{5,7},{6}}
[2,3,4,1,7,5,6]=>[4,2,3,1,7,6,5]=>{{1,4},{2},{3},{5,7},{6}}=>{{1,4},{2},{3},{5,7},{6}}=>{{1,4},{2},{3},{5,7},{6}}
[2,3,4,1,7,6,5]=>[4,2,3,1,7,6,5]=>{{1,4},{2},{3},{5,7},{6}}=>{{1,4},{2},{3},{5,7},{6}}=>{{1,4},{2},{3},{5,7},{6}}
[2,3,4,5,1,6,7]=>[5,2,3,4,1,6,7]=>{{1,5},{2},{3},{4},{6},{7}}=>{{1,5},{2},{3},{4},{6},{7}}=>{{1,5},{2},{3},{4},{6},{7}}
[2,3,4,5,1,7,6]=>[5,2,3,4,1,7,6]=>{{1,5},{2},{3},{4},{6,7}}=>{{1,5},{2},{3},{4},{6,7}}=>{{1,5},{2},{3},{4},{6,7}}
[2,3,4,5,6,1,7]=>[6,2,3,4,5,1,7]=>{{1,6},{2},{3},{4},{5},{7}}=>{{1,6},{2},{3},{4},{5},{7}}=>{{1,6},{2},{3},{4},{5},{7}}
[2,3,4,5,6,7,1]=>[7,2,3,4,5,6,1]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5},{6}}
[2,3,4,5,7,1,6]=>[6,2,3,4,7,1,5]=>{{1,6},{2},{3},{4},{5,7}}=>{{1,7},{2},{3},{4},{5,6}}=>{{1,6},{2},{3},{4},{5,7}}
[2,3,4,5,7,6,1]=>[7,2,3,4,6,5,1]=>{{1,7},{2},{3},{4},{5,6}}=>{{1,6},{2},{3},{4},{5,7}}=>{{1,7},{2},{3},{4},{5,6}}
[2,3,4,6,1,5,7]=>[5,2,3,6,1,4,7]=>{{1,5},{2},{3},{4,6},{7}}=>{{1,6},{2},{3},{4,5},{7}}=>{{1,5},{2},{3},{4,6},{7}}
[2,3,4,6,1,7,5]=>[5,2,3,7,1,6,4]=>{{1,5},{2},{3},{4,7},{6}}=>{{1,7},{2},{3},{4,5},{6}}=>{{1,5},{2},{3},{4,7},{6}}
[2,3,4,6,5,1,7]=>[6,2,3,5,4,1,7]=>{{1,6},{2},{3},{4,5},{7}}=>{{1,5},{2},{3},{4,6},{7}}=>{{1,6},{2},{3},{4,5},{7}}
[2,3,4,6,5,7,1]=>[7,2,3,5,4,6,1]=>{{1,7},{2},{3},{4,5},{6}}=>{{1,5},{2},{3},{4,7},{6}}=>{{1,7},{2},{3},{4,5},{6}}
[2,3,4,6,7,1,5]=>[6,2,3,7,5,1,4]=>{{1,6},{2},{3},{4,7},{5}}=>{{1,7},{2},{3},{4,6},{5}}=>{{1,6},{2},{3},{4,7},{5}}
[2,3,4,6,7,5,1]=>[7,2,3,6,5,4,1]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,6},{2},{3},{4,7},{5}}=>{{1,7},{2},{3},{4,6},{5}}
[2,3,4,7,1,5,6]=>[5,2,3,7,1,6,4]=>{{1,5},{2},{3},{4,7},{6}}=>{{1,7},{2},{3},{4,5},{6}}=>{{1,5},{2},{3},{4,7},{6}}
[2,3,4,7,1,6,5]=>[5,2,3,7,1,6,4]=>{{1,5},{2},{3},{4,7},{6}}=>{{1,7},{2},{3},{4,5},{6}}=>{{1,5},{2},{3},{4,7},{6}}
[2,3,4,7,5,1,6]=>[6,2,3,7,5,1,4]=>{{1,6},{2},{3},{4,7},{5}}=>{{1,7},{2},{3},{4,6},{5}}=>{{1,6},{2},{3},{4,7},{5}}
[2,3,4,7,5,6,1]=>[7,2,3,6,5,4,1]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,6},{2},{3},{4,7},{5}}=>{{1,7},{2},{3},{4,6},{5}}
[2,3,4,7,6,1,5]=>[6,2,3,7,5,1,4]=>{{1,6},{2},{3},{4,7},{5}}=>{{1,7},{2},{3},{4,6},{5}}=>{{1,6},{2},{3},{4,7},{5}}
[2,3,4,7,6,5,1]=>[7,2,3,6,5,4,1]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,6},{2},{3},{4,7},{5}}=>{{1,7},{2},{3},{4,6},{5}}
[2,3,5,1,4,6,7]=>[4,2,5,1,3,6,7]=>{{1,4},{2},{3,5},{6},{7}}=>{{1,5},{2},{3,4},{6},{7}}=>{{1,4},{2},{3,5},{6},{7}}
[2,3,5,1,4,7,6]=>[4,2,5,1,3,7,6]=>{{1,4},{2},{3,5},{6,7}}=>{{1,5},{2},{3,4},{6,7}}=>{{1,4},{2},{3,5},{6,7}}
[2,3,5,1,6,4,7]=>[4,2,6,1,5,3,7]=>{{1,4},{2},{3,6},{5},{7}}=>{{1,6},{2},{3,4},{5},{7}}=>{{1,4},{2},{3,6},{5},{7}}
[2,3,5,1,6,7,4]=>[4,2,7,1,5,6,3]=>{{1,4},{2},{3,7},{5},{6}}=>{{1,7},{2},{3,4},{5},{6}}=>{{1,4},{2},{3,7},{5},{6}}
[2,3,5,1,7,4,6]=>[4,2,6,1,7,3,5]=>{{1,4},{2},{3,6},{5,7}}=>{{1,7},{2},{3,4},{5,6}}=>{{1,4},{2},{3,6},{5,7}}
[2,3,5,1,7,6,4]=>[4,2,7,1,6,5,3]=>{{1,4},{2},{3,7},{5,6}}=>{{1,6},{2},{3,4},{5,7}}=>{{1,4},{2},{3,7},{5,6}}
[2,3,5,4,1,6,7]=>[5,2,4,3,1,6,7]=>{{1,5},{2},{3,4},{6},{7}}=>{{1,4},{2},{3,5},{6},{7}}=>{{1,5},{2},{3,4},{6},{7}}
[2,3,5,4,1,7,6]=>[5,2,4,3,1,7,6]=>{{1,5},{2},{3,4},{6,7}}=>{{1,4},{2},{3,5},{6,7}}=>{{1,5},{2},{3,4},{6,7}}
[2,3,5,4,6,1,7]=>[6,2,4,3,5,1,7]=>{{1,6},{2},{3,4},{5},{7}}=>{{1,4},{2},{3,6},{5},{7}}=>{{1,6},{2},{3,4},{5},{7}}
[2,3,5,4,6,7,1]=>[7,2,4,3,5,6,1]=>{{1,7},{2},{3,4},{5},{6}}=>{{1,4},{2},{3,7},{5},{6}}=>{{1,7},{2},{3,4},{5},{6}}
[2,3,5,4,7,1,6]=>[6,2,4,3,7,1,5]=>{{1,6},{2},{3,4},{5,7}}=>{{1,4},{2},{3,7},{5,6}}=>{{1,6},{2},{3,4},{5,7}}
[2,3,5,4,7,6,1]=>[7,2,4,3,6,5,1]=>{{1,7},{2},{3,4},{5,6}}=>{{1,4},{2},{3,6},{5,7}}=>{{1,7},{2},{3,4},{5,6}}
[2,3,5,6,1,4,7]=>[5,2,6,4,1,3,7]=>{{1,5},{2},{3,6},{4},{7}}=>{{1,6},{2},{3,5},{4},{7}}=>{{1,5},{2},{3,6},{4},{7}}
[2,3,5,6,1,7,4]=>[5,2,7,4,1,6,3]=>{{1,5},{2},{3,7},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}
[2,3,5,6,4,1,7]=>[6,2,5,4,3,1,7]=>{{1,6},{2},{3,5},{4},{7}}=>{{1,5},{2},{3,6},{4},{7}}=>{{1,6},{2},{3,5},{4},{7}}
[2,3,5,6,4,7,1]=>[7,2,5,4,3,6,1]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}
[2,3,5,6,7,1,4]=>[6,2,7,4,5,1,3]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}
[2,3,5,6,7,4,1]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[2,3,5,7,1,4,6]=>[5,2,6,7,1,3,4]=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}
[2,3,5,7,1,6,4]=>[5,2,7,6,1,4,3]=>{{1,5},{2},{3,7},{4,6}}=>{{1,6},{2},{3,7},{4,5}}=>{{1,5},{2},{3,7},{4,6}}
[2,3,5,7,4,1,6]=>[6,2,5,7,3,1,4]=>{{1,6},{2},{3,5},{4,7}}=>{{1,7},{2},{3,5},{4,6}}=>{{1,6},{2},{3,5},{4,7}}
[2,3,5,7,4,6,1]=>[7,2,5,6,3,4,1]=>{{1,7},{2},{3,5},{4,6}}=>{{1,6},{2},{3,5},{4,7}}=>{{1,7},{2},{3,5},{4,6}}
[2,3,5,7,6,1,4]=>[6,2,7,5,4,1,3]=>{{1,6},{2},{3,7},{4,5}}=>{{1,5},{2},{3,7},{4,6}}=>{{1,6},{2},{3,7},{4,5}}
[2,3,5,7,6,4,1]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[2,3,6,1,4,5,7]=>[4,2,6,1,5,3,7]=>{{1,4},{2},{3,6},{5},{7}}=>{{1,6},{2},{3,4},{5},{7}}=>{{1,4},{2},{3,6},{5},{7}}
[2,3,6,1,4,7,5]=>[4,2,7,1,5,6,3]=>{{1,4},{2},{3,7},{5},{6}}=>{{1,7},{2},{3,4},{5},{6}}=>{{1,4},{2},{3,7},{5},{6}}
[2,3,6,1,5,4,7]=>[4,2,6,1,5,3,7]=>{{1,4},{2},{3,6},{5},{7}}=>{{1,6},{2},{3,4},{5},{7}}=>{{1,4},{2},{3,6},{5},{7}}
[2,3,6,1,5,7,4]=>[4,2,7,1,5,6,3]=>{{1,4},{2},{3,7},{5},{6}}=>{{1,7},{2},{3,4},{5},{6}}=>{{1,4},{2},{3,7},{5},{6}}
[2,3,6,1,7,4,5]=>[4,2,7,1,6,5,3]=>{{1,4},{2},{3,7},{5,6}}=>{{1,6},{2},{3,4},{5,7}}=>{{1,4},{2},{3,7},{5,6}}
[2,3,6,1,7,5,4]=>[4,2,7,1,6,5,3]=>{{1,4},{2},{3,7},{5,6}}=>{{1,6},{2},{3,4},{5,7}}=>{{1,4},{2},{3,7},{5,6}}
[2,3,6,4,1,5,7]=>[5,2,6,4,1,3,7]=>{{1,5},{2},{3,6},{4},{7}}=>{{1,6},{2},{3,5},{4},{7}}=>{{1,5},{2},{3,6},{4},{7}}
[2,3,6,4,1,7,5]=>[5,2,7,4,1,6,3]=>{{1,5},{2},{3,7},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}
[2,3,6,4,5,1,7]=>[6,2,5,4,3,1,7]=>{{1,6},{2},{3,5},{4},{7}}=>{{1,5},{2},{3,6},{4},{7}}=>{{1,6},{2},{3,5},{4},{7}}
[2,3,6,4,5,7,1]=>[7,2,5,4,3,6,1]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}
[2,3,6,4,7,1,5]=>[6,2,7,4,5,1,3]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}
[2,3,6,4,7,5,1]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[2,3,6,5,1,4,7]=>[5,2,6,4,1,3,7]=>{{1,5},{2},{3,6},{4},{7}}=>{{1,6},{2},{3,5},{4},{7}}=>{{1,5},{2},{3,6},{4},{7}}
[2,3,6,5,1,7,4]=>[5,2,7,4,1,6,3]=>{{1,5},{2},{3,7},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}
[2,3,6,5,4,1,7]=>[6,2,5,4,3,1,7]=>{{1,6},{2},{3,5},{4},{7}}=>{{1,5},{2},{3,6},{4},{7}}=>{{1,6},{2},{3,5},{4},{7}}
[2,3,6,5,4,7,1]=>[7,2,5,4,3,6,1]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}
[2,3,6,5,7,1,4]=>[6,2,7,4,5,1,3]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}
[2,3,6,5,7,4,1]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[2,3,6,7,1,4,5]=>[5,2,7,6,1,4,3]=>{{1,5},{2},{3,7},{4,6}}=>{{1,6},{2},{3,7},{4,5}}=>{{1,5},{2},{3,7},{4,6}}
[2,3,6,7,1,5,4]=>[5,2,7,6,1,4,3]=>{{1,5},{2},{3,7},{4,6}}=>{{1,6},{2},{3,7},{4,5}}=>{{1,5},{2},{3,7},{4,6}}
[2,3,6,7,4,1,5]=>[6,2,7,5,4,1,3]=>{{1,6},{2},{3,7},{4,5}}=>{{1,5},{2},{3,7},{4,6}}=>{{1,6},{2},{3,7},{4,5}}
[2,3,6,7,4,5,1]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[2,3,6,7,5,1,4]=>[6,2,7,5,4,1,3]=>{{1,6},{2},{3,7},{4,5}}=>{{1,5},{2},{3,7},{4,6}}=>{{1,6},{2},{3,7},{4,5}}
[2,3,6,7,5,4,1]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[2,3,7,1,4,5,6]=>[4,2,7,1,5,6,3]=>{{1,4},{2},{3,7},{5},{6}}=>{{1,7},{2},{3,4},{5},{6}}=>{{1,4},{2},{3,7},{5},{6}}
[2,3,7,1,4,6,5]=>[4,2,7,1,5,6,3]=>{{1,4},{2},{3,7},{5},{6}}=>{{1,7},{2},{3,4},{5},{6}}=>{{1,4},{2},{3,7},{5},{6}}
[2,3,7,1,5,4,6]=>[4,2,7,1,6,5,3]=>{{1,4},{2},{3,7},{5,6}}=>{{1,6},{2},{3,4},{5,7}}=>{{1,4},{2},{3,7},{5,6}}
[2,3,7,1,5,6,4]=>[4,2,7,1,6,5,3]=>{{1,4},{2},{3,7},{5,6}}=>{{1,6},{2},{3,4},{5,7}}=>{{1,4},{2},{3,7},{5,6}}
[2,3,7,1,6,4,5]=>[4,2,7,1,6,5,3]=>{{1,4},{2},{3,7},{5,6}}=>{{1,6},{2},{3,4},{5,7}}=>{{1,4},{2},{3,7},{5,6}}
[2,3,7,1,6,5,4]=>[4,2,7,1,6,5,3]=>{{1,4},{2},{3,7},{5,6}}=>{{1,6},{2},{3,4},{5,7}}=>{{1,4},{2},{3,7},{5,6}}
[2,3,7,4,1,5,6]=>[5,2,7,4,1,6,3]=>{{1,5},{2},{3,7},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}
[2,3,7,4,1,6,5]=>[5,2,7,4,1,6,3]=>{{1,5},{2},{3,7},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}
[2,3,7,4,5,1,6]=>[6,2,7,4,5,1,3]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}
[2,3,7,4,5,6,1]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[2,3,7,4,6,1,5]=>[6,2,7,4,5,1,3]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}
[2,3,7,4,6,5,1]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[2,3,7,5,1,4,6]=>[5,2,7,6,1,4,3]=>{{1,5},{2},{3,7},{4,6}}=>{{1,6},{2},{3,7},{4,5}}=>{{1,5},{2},{3,7},{4,6}}
[2,3,7,5,1,6,4]=>[5,2,7,6,1,4,3]=>{{1,5},{2},{3,7},{4,6}}=>{{1,6},{2},{3,7},{4,5}}=>{{1,5},{2},{3,7},{4,6}}
[2,3,7,5,4,1,6]=>[6,2,7,5,4,1,3]=>{{1,6},{2},{3,7},{4,5}}=>{{1,5},{2},{3,7},{4,6}}=>{{1,6},{2},{3,7},{4,5}}
[2,3,7,5,4,6,1]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[2,3,7,5,6,1,4]=>[6,2,7,5,4,1,3]=>{{1,6},{2},{3,7},{4,5}}=>{{1,5},{2},{3,7},{4,6}}=>{{1,6},{2},{3,7},{4,5}}
[2,3,7,5,6,4,1]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[2,3,7,6,1,4,5]=>[5,2,7,6,1,4,3]=>{{1,5},{2},{3,7},{4,6}}=>{{1,6},{2},{3,7},{4,5}}=>{{1,5},{2},{3,7},{4,6}}
[2,3,7,6,1,5,4]=>[5,2,7,6,1,4,3]=>{{1,5},{2},{3,7},{4,6}}=>{{1,6},{2},{3,7},{4,5}}=>{{1,5},{2},{3,7},{4,6}}
[2,3,7,6,4,1,5]=>[6,2,7,5,4,1,3]=>{{1,6},{2},{3,7},{4,5}}=>{{1,5},{2},{3,7},{4,6}}=>{{1,6},{2},{3,7},{4,5}}
[2,3,7,6,4,5,1]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[2,3,7,6,5,1,4]=>[6,2,7,5,4,1,3]=>{{1,6},{2},{3,7},{4,5}}=>{{1,5},{2},{3,7},{4,6}}=>{{1,6},{2},{3,7},{4,5}}
[2,3,7,6,5,4,1]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[2,4,1,3,5,6,7]=>[3,4,1,2,5,6,7]=>{{1,3},{2,4},{5},{6},{7}}=>{{1,4},{2,3},{5},{6},{7}}=>{{1,3},{2,4},{5},{6},{7}}
[2,4,1,3,5,7,6]=>[3,4,1,2,5,7,6]=>{{1,3},{2,4},{5},{6,7}}=>{{1,4},{2,3},{5},{6,7}}=>{{1,3},{2,4},{5},{6,7}}
[2,4,1,3,6,5,7]=>[3,4,1,2,6,5,7]=>{{1,3},{2,4},{5,6},{7}}=>{{1,4},{2,3},{5,6},{7}}=>{{1,3},{2,4},{5,6},{7}}
[2,4,1,3,6,7,5]=>[3,4,1,2,7,6,5]=>{{1,3},{2,4},{5,7},{6}}=>{{1,4},{2,3},{5,7},{6}}=>{{1,3},{2,4},{5,7},{6}}
[2,4,1,3,7,5,6]=>[3,4,1,2,7,6,5]=>{{1,3},{2,4},{5,7},{6}}=>{{1,4},{2,3},{5,7},{6}}=>{{1,3},{2,4},{5,7},{6}}
[2,4,1,3,7,6,5]=>[3,4,1,2,7,6,5]=>{{1,3},{2,4},{5,7},{6}}=>{{1,4},{2,3},{5,7},{6}}=>{{1,3},{2,4},{5,7},{6}}
[2,4,1,5,3,6,7]=>[3,5,1,4,2,6,7]=>{{1,3},{2,5},{4},{6},{7}}=>{{1,5},{2,3},{4},{6},{7}}=>{{1,3},{2,5},{4},{6},{7}}
[2,4,1,5,3,7,6]=>[3,5,1,4,2,7,6]=>{{1,3},{2,5},{4},{6,7}}=>{{1,5},{2,3},{4},{6,7}}=>{{1,3},{2,5},{4},{6,7}}
[2,4,1,5,6,3,7]=>[3,6,1,4,5,2,7]=>{{1,3},{2,6},{4},{5},{7}}=>{{1,6},{2,3},{4},{5},{7}}=>{{1,3},{2,6},{4},{5},{7}}
[2,4,1,5,6,7,3]=>[3,7,1,4,5,6,2]=>{{1,3},{2,7},{4},{5},{6}}=>{{1,7},{2,3},{4},{5},{6}}=>{{1,3},{2,7},{4},{5},{6}}
[2,4,1,5,7,3,6]=>[3,6,1,4,7,2,5]=>{{1,3},{2,6},{4},{5,7}}=>{{1,7},{2,3},{4},{5,6}}=>{{1,3},{2,6},{4},{5,7}}
[2,4,1,5,7,6,3]=>[3,7,1,4,6,5,2]=>{{1,3},{2,7},{4},{5,6}}=>{{1,6},{2,3},{4},{5,7}}=>{{1,3},{2,7},{4},{5,6}}
[2,4,1,6,3,5,7]=>[3,5,1,6,2,4,7]=>{{1,3},{2,5},{4,6},{7}}=>{{1,6},{2,3},{4,5},{7}}=>{{1,3},{2,5},{4,6},{7}}
[2,4,1,6,3,7,5]=>[3,5,1,7,2,6,4]=>{{1,3},{2,5},{4,7},{6}}=>{{1,7},{2,3},{4,5},{6}}=>{{1,3},{2,5},{4,7},{6}}
[2,4,1,6,5,3,7]=>[3,6,1,5,4,2,7]=>{{1,3},{2,6},{4,5},{7}}=>{{1,5},{2,3},{4,6},{7}}=>{{1,3},{2,6},{4,5},{7}}
[2,4,1,6,5,7,3]=>[3,7,1,5,4,6,2]=>{{1,3},{2,7},{4,5},{6}}=>{{1,5},{2,3},{4,7},{6}}=>{{1,3},{2,7},{4,5},{6}}
[2,4,1,6,7,3,5]=>[3,6,1,7,5,2,4]=>{{1,3},{2,6},{4,7},{5}}=>{{1,7},{2,3},{4,6},{5}}=>{{1,3},{2,6},{4,7},{5}}
[2,4,1,6,7,5,3]=>[3,7,1,6,5,4,2]=>{{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,3},{4,7},{5}}=>{{1,3},{2,7},{4,6},{5}}
[2,4,1,7,3,5,6]=>[3,5,1,7,2,6,4]=>{{1,3},{2,5},{4,7},{6}}=>{{1,7},{2,3},{4,5},{6}}=>{{1,3},{2,5},{4,7},{6}}
[2,4,1,7,3,6,5]=>[3,5,1,7,2,6,4]=>{{1,3},{2,5},{4,7},{6}}=>{{1,7},{2,3},{4,5},{6}}=>{{1,3},{2,5},{4,7},{6}}
[2,4,1,7,5,3,6]=>[3,6,1,7,5,2,4]=>{{1,3},{2,6},{4,7},{5}}=>{{1,7},{2,3},{4,6},{5}}=>{{1,3},{2,6},{4,7},{5}}
[2,4,1,7,5,6,3]=>[3,7,1,6,5,4,2]=>{{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,3},{4,7},{5}}=>{{1,3},{2,7},{4,6},{5}}
[2,4,1,7,6,3,5]=>[3,6,1,7,5,2,4]=>{{1,3},{2,6},{4,7},{5}}=>{{1,7},{2,3},{4,6},{5}}=>{{1,3},{2,6},{4,7},{5}}
[2,4,1,7,6,5,3]=>[3,7,1,6,5,4,2]=>{{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,3},{4,7},{5}}=>{{1,3},{2,7},{4,6},{5}}
[2,4,3,1,5,6,7]=>[4,3,2,1,5,6,7]=>{{1,4},{2,3},{5},{6},{7}}=>{{1,3},{2,4},{5},{6},{7}}=>{{1,4},{2,3},{5},{6},{7}}
[2,4,3,1,5,7,6]=>[4,3,2,1,5,7,6]=>{{1,4},{2,3},{5},{6,7}}=>{{1,3},{2,4},{5},{6,7}}=>{{1,4},{2,3},{5},{6,7}}
[2,4,3,1,6,5,7]=>[4,3,2,1,6,5,7]=>{{1,4},{2,3},{5,6},{7}}=>{{1,3},{2,4},{5,6},{7}}=>{{1,4},{2,3},{5,6},{7}}
[2,4,3,1,6,7,5]=>[4,3,2,1,7,6,5]=>{{1,4},{2,3},{5,7},{6}}=>{{1,3},{2,4},{5,7},{6}}=>{{1,4},{2,3},{5,7},{6}}
[2,4,3,1,7,5,6]=>[4,3,2,1,7,6,5]=>{{1,4},{2,3},{5,7},{6}}=>{{1,3},{2,4},{5,7},{6}}=>{{1,4},{2,3},{5,7},{6}}
[2,4,3,1,7,6,5]=>[4,3,2,1,7,6,5]=>{{1,4},{2,3},{5,7},{6}}=>{{1,3},{2,4},{5,7},{6}}=>{{1,4},{2,3},{5,7},{6}}
[2,4,3,5,1,6,7]=>[5,3,2,4,1,6,7]=>{{1,5},{2,3},{4},{6},{7}}=>{{1,3},{2,5},{4},{6},{7}}=>{{1,5},{2,3},{4},{6},{7}}
[2,4,3,5,1,7,6]=>[5,3,2,4,1,7,6]=>{{1,5},{2,3},{4},{6,7}}=>{{1,3},{2,5},{4},{6,7}}=>{{1,5},{2,3},{4},{6,7}}
[2,4,3,5,6,1,7]=>[6,3,2,4,5,1,7]=>{{1,6},{2,3},{4},{5},{7}}=>{{1,3},{2,6},{4},{5},{7}}=>{{1,6},{2,3},{4},{5},{7}}
[2,4,3,5,6,7,1]=>[7,3,2,4,5,6,1]=>{{1,7},{2,3},{4},{5},{6}}=>{{1,3},{2,7},{4},{5},{6}}=>{{1,7},{2,3},{4},{5},{6}}
[2,4,3,5,7,1,6]=>[6,3,2,4,7,1,5]=>{{1,6},{2,3},{4},{5,7}}=>{{1,3},{2,7},{4},{5,6}}=>{{1,6},{2,3},{4},{5,7}}
[2,4,3,5,7,6,1]=>[7,3,2,4,6,5,1]=>{{1,7},{2,3},{4},{5,6}}=>{{1,3},{2,6},{4},{5,7}}=>{{1,7},{2,3},{4},{5,6}}
[2,4,3,6,1,5,7]=>[5,3,2,6,1,4,7]=>{{1,5},{2,3},{4,6},{7}}=>{{1,3},{2,6},{4,5},{7}}=>{{1,5},{2,3},{4,6},{7}}
[2,4,3,6,1,7,5]=>[5,3,2,7,1,6,4]=>{{1,5},{2,3},{4,7},{6}}=>{{1,3},{2,7},{4,5},{6}}=>{{1,5},{2,3},{4,7},{6}}
[2,4,3,6,5,1,7]=>[6,3,2,5,4,1,7]=>{{1,6},{2,3},{4,5},{7}}=>{{1,3},{2,5},{4,6},{7}}=>{{1,6},{2,3},{4,5},{7}}
[2,4,3,6,5,7,1]=>[7,3,2,5,4,6,1]=>{{1,7},{2,3},{4,5},{6}}=>{{1,3},{2,5},{4,7},{6}}=>{{1,7},{2,3},{4,5},{6}}
[2,4,3,6,7,1,5]=>[6,3,2,7,5,1,4]=>{{1,6},{2,3},{4,7},{5}}=>{{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,3},{4,7},{5}}
[2,4,3,6,7,5,1]=>[7,3,2,6,5,4,1]=>{{1,7},{2,3},{4,6},{5}}=>{{1,3},{2,6},{4,7},{5}}=>{{1,7},{2,3},{4,6},{5}}
[2,4,3,7,1,5,6]=>[5,3,2,7,1,6,4]=>{{1,5},{2,3},{4,7},{6}}=>{{1,3},{2,7},{4,5},{6}}=>{{1,5},{2,3},{4,7},{6}}
[2,4,3,7,1,6,5]=>[5,3,2,7,1,6,4]=>{{1,5},{2,3},{4,7},{6}}=>{{1,3},{2,7},{4,5},{6}}=>{{1,5},{2,3},{4,7},{6}}
[2,4,3,7,5,1,6]=>[6,3,2,7,5,1,4]=>{{1,6},{2,3},{4,7},{5}}=>{{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,3},{4,7},{5}}
[2,4,3,7,5,6,1]=>[7,3,2,6,5,4,1]=>{{1,7},{2,3},{4,6},{5}}=>{{1,3},{2,6},{4,7},{5}}=>{{1,7},{2,3},{4,6},{5}}
[2,4,3,7,6,1,5]=>[6,3,2,7,5,1,4]=>{{1,6},{2,3},{4,7},{5}}=>{{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,3},{4,7},{5}}
[2,4,3,7,6,5,1]=>[7,3,2,6,5,4,1]=>{{1,7},{2,3},{4,6},{5}}=>{{1,3},{2,6},{4,7},{5}}=>{{1,7},{2,3},{4,6},{5}}
[2,4,5,1,3,6,7]=>[4,5,3,1,2,6,7]=>{{1,4},{2,5},{3},{6},{7}}=>{{1,5},{2,4},{3},{6},{7}}=>{{1,4},{2,5},{3},{6},{7}}
[2,4,5,1,3,7,6]=>[4,5,3,1,2,7,6]=>{{1,4},{2,5},{3},{6,7}}=>{{1,5},{2,4},{3},{6,7}}=>{{1,4},{2,5},{3},{6,7}}
[2,4,5,1,6,3,7]=>[4,6,3,1,5,2,7]=>{{1,4},{2,6},{3},{5},{7}}=>{{1,6},{2,4},{3},{5},{7}}=>{{1,4},{2,6},{3},{5},{7}}
[2,4,5,1,6,7,3]=>[4,7,3,1,5,6,2]=>{{1,4},{2,7},{3},{5},{6}}=>{{1,7},{2,4},{3},{5},{6}}=>{{1,4},{2,7},{3},{5},{6}}
[2,4,5,1,7,3,6]=>[4,6,3,1,7,2,5]=>{{1,4},{2,6},{3},{5,7}}=>{{1,7},{2,4},{3},{5,6}}=>{{1,4},{2,6},{3},{5,7}}
[2,4,5,1,7,6,3]=>[4,7,3,1,6,5,2]=>{{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,4},{3},{5,7}}=>{{1,4},{2,7},{3},{5,6}}
[2,4,5,3,1,6,7]=>[5,4,3,2,1,6,7]=>{{1,5},{2,4},{3},{6},{7}}=>{{1,4},{2,5},{3},{6},{7}}=>{{1,5},{2,4},{3},{6},{7}}
[2,4,5,3,1,7,6]=>[5,4,3,2,1,7,6]=>{{1,5},{2,4},{3},{6,7}}=>{{1,4},{2,5},{3},{6,7}}=>{{1,5},{2,4},{3},{6,7}}
[2,4,5,3,6,1,7]=>[6,4,3,2,5,1,7]=>{{1,6},{2,4},{3},{5},{7}}=>{{1,4},{2,6},{3},{5},{7}}=>{{1,6},{2,4},{3},{5},{7}}
[2,4,5,3,6,7,1]=>[7,4,3,2,5,6,1]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,4},{2,7},{3},{5},{6}}=>{{1,7},{2,4},{3},{5},{6}}
[2,4,5,3,7,1,6]=>[6,4,3,2,7,1,5]=>{{1,6},{2,4},{3},{5,7}}=>{{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,4},{3},{5,7}}
[2,4,5,3,7,6,1]=>[7,4,3,2,6,5,1]=>{{1,7},{2,4},{3},{5,6}}=>{{1,4},{2,6},{3},{5,7}}=>{{1,7},{2,4},{3},{5,6}}
[2,4,5,6,1,3,7]=>[5,6,3,4,1,2,7]=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}
[2,4,5,6,1,7,3]=>[5,7,3,4,1,6,2]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}
[2,4,5,6,3,1,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[2,4,5,6,3,7,1]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[2,4,5,6,7,1,3]=>[6,7,3,4,5,1,2]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[2,4,5,6,7,3,1]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[2,4,5,7,1,3,6]=>[5,6,3,7,1,2,4]=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}
[2,4,5,7,1,6,3]=>[5,7,3,6,1,4,2]=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,7},{3},{4,5}}=>{{1,5},{2,7},{3},{4,6}}
[2,4,5,7,3,1,6]=>[6,5,3,7,2,1,4]=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}
[2,4,5,7,3,6,1]=>[7,5,3,6,2,4,1]=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}
[2,4,5,7,6,1,3]=>[6,7,3,5,4,1,2]=>{{1,6},{2,7},{3},{4,5}}=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,7},{3},{4,5}}
[2,4,5,7,6,3,1]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[2,4,6,1,3,5,7]=>[4,5,6,1,2,3,7]=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}
[2,4,6,1,3,7,5]=>[4,5,7,1,2,6,3]=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}
[2,4,6,1,5,3,7]=>[4,6,5,1,3,2,7]=>{{1,4},{2,6},{3,5},{7}}=>{{1,5},{2,6},{3,4},{7}}=>{{1,4},{2,6},{3,5},{7}}
[2,4,6,1,5,7,3]=>[4,7,5,1,3,6,2]=>{{1,4},{2,7},{3,5},{6}}=>{{1,5},{2,7},{3,4},{6}}=>{{1,4},{2,7},{3,5},{6}}
[2,4,6,1,7,3,5]=>[4,6,7,1,5,2,3]=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}
[2,4,6,1,7,5,3]=>[4,7,6,1,5,3,2]=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,7},{3,4},{5}}=>{{1,4},{2,7},{3,6},{5}}
[2,4,6,3,1,5,7]=>[5,4,6,2,1,3,7]=>{{1,5},{2,4},{3,6},{7}}=>{{1,6},{2,4},{3,5},{7}}=>{{1,5},{2,4},{3,6},{7}}
[2,4,6,3,1,7,5]=>[5,4,7,2,1,6,3]=>{{1,5},{2,4},{3,7},{6}}=>{{1,7},{2,4},{3,5},{6}}=>{{1,5},{2,4},{3,7},{6}}
[2,4,6,3,5,1,7]=>[6,4,5,2,3,1,7]=>{{1,6},{2,4},{3,5},{7}}=>{{1,5},{2,4},{3,6},{7}}=>{{1,6},{2,4},{3,5},{7}}
[2,4,6,3,5,7,1]=>[7,4,5,2,3,6,1]=>{{1,7},{2,4},{3,5},{6}}=>{{1,5},{2,4},{3,7},{6}}=>{{1,7},{2,4},{3,5},{6}}
[2,4,6,3,7,1,5]=>[6,4,7,2,5,1,3]=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}
[2,4,6,3,7,5,1]=>[7,4,6,2,5,3,1]=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}
[2,4,6,5,1,3,7]=>[5,6,4,3,1,2,7]=>{{1,5},{2,6},{3,4},{7}}=>{{1,4},{2,6},{3,5},{7}}=>{{1,5},{2,6},{3,4},{7}}
[2,4,6,5,1,7,3]=>[5,7,4,3,1,6,2]=>{{1,5},{2,7},{3,4},{6}}=>{{1,4},{2,7},{3,5},{6}}=>{{1,5},{2,7},{3,4},{6}}
[2,4,6,5,3,1,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[2,4,6,5,3,7,1]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[2,4,6,5,7,1,3]=>[6,7,4,3,5,1,2]=>{{1,6},{2,7},{3,4},{5}}=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,7},{3,4},{5}}
[2,4,6,5,7,3,1]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[2,4,6,7,1,3,5]=>[5,6,7,4,1,2,3]=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}
[2,4,6,7,1,5,3]=>[5,7,6,4,1,3,2]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}
[2,4,6,7,3,1,5]=>[6,5,7,4,2,1,3]=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
[2,4,6,7,3,5,1]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[2,4,6,7,5,1,3]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[2,4,6,7,5,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[2,4,7,1,3,5,6]=>[4,5,7,1,2,6,3]=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}
[2,4,7,1,3,6,5]=>[4,5,7,1,2,6,3]=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}
[2,4,7,1,5,3,6]=>[4,6,7,1,5,2,3]=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}
[2,4,7,1,5,6,3]=>[4,7,6,1,5,3,2]=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,7},{3,4},{5}}=>{{1,4},{2,7},{3,6},{5}}
[2,4,7,1,6,3,5]=>[4,6,7,1,5,2,3]=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}
[2,4,7,1,6,5,3]=>[4,7,6,1,5,3,2]=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,7},{3,4},{5}}=>{{1,4},{2,7},{3,6},{5}}
[2,4,7,3,1,5,6]=>[5,4,7,2,1,6,3]=>{{1,5},{2,4},{3,7},{6}}=>{{1,7},{2,4},{3,5},{6}}=>{{1,5},{2,4},{3,7},{6}}
[2,4,7,3,1,6,5]=>[5,4,7,2,1,6,3]=>{{1,5},{2,4},{3,7},{6}}=>{{1,7},{2,4},{3,5},{6}}=>{{1,5},{2,4},{3,7},{6}}
[2,4,7,3,5,1,6]=>[6,4,7,2,5,1,3]=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}
[2,4,7,3,5,6,1]=>[7,4,6,2,5,3,1]=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}
[2,4,7,3,6,1,5]=>[6,4,7,2,5,1,3]=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}
[2,4,7,3,6,5,1]=>[7,4,6,2,5,3,1]=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}
[2,4,7,5,1,3,6]=>[5,6,7,4,1,2,3]=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}
[2,4,7,5,1,6,3]=>[5,7,6,4,1,3,2]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}
[2,4,7,5,3,1,6]=>[6,5,7,4,2,1,3]=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
[2,4,7,5,3,6,1]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[2,4,7,5,6,1,3]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[2,4,7,5,6,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[2,4,7,6,1,3,5]=>[5,6,7,4,1,2,3]=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}
[2,4,7,6,1,5,3]=>[5,7,6,4,1,3,2]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}
[2,4,7,6,3,1,5]=>[6,5,7,4,2,1,3]=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
[2,4,7,6,3,5,1]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[2,4,7,6,5,1,3]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[2,4,7,6,5,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[2,5,1,3,4,6,7]=>[3,5,1,4,2,6,7]=>{{1,3},{2,5},{4},{6},{7}}=>{{1,5},{2,3},{4},{6},{7}}=>{{1,3},{2,5},{4},{6},{7}}
[2,5,1,3,4,7,6]=>[3,5,1,4,2,7,6]=>{{1,3},{2,5},{4},{6,7}}=>{{1,5},{2,3},{4},{6,7}}=>{{1,3},{2,5},{4},{6,7}}
[2,5,1,3,6,4,7]=>[3,6,1,4,5,2,7]=>{{1,3},{2,6},{4},{5},{7}}=>{{1,6},{2,3},{4},{5},{7}}=>{{1,3},{2,6},{4},{5},{7}}
[2,5,1,3,6,7,4]=>[3,7,1,4,5,6,2]=>{{1,3},{2,7},{4},{5},{6}}=>{{1,7},{2,3},{4},{5},{6}}=>{{1,3},{2,7},{4},{5},{6}}
[2,5,1,3,7,4,6]=>[3,6,1,4,7,2,5]=>{{1,3},{2,6},{4},{5,7}}=>{{1,7},{2,3},{4},{5,6}}=>{{1,3},{2,6},{4},{5,7}}
[2,5,1,3,7,6,4]=>[3,7,1,4,6,5,2]=>{{1,3},{2,7},{4},{5,6}}=>{{1,6},{2,3},{4},{5,7}}=>{{1,3},{2,7},{4},{5,6}}
[2,5,1,4,3,6,7]=>[3,5,1,4,2,6,7]=>{{1,3},{2,5},{4},{6},{7}}=>{{1,5},{2,3},{4},{6},{7}}=>{{1,3},{2,5},{4},{6},{7}}
[2,5,1,4,3,7,6]=>[3,5,1,4,2,7,6]=>{{1,3},{2,5},{4},{6,7}}=>{{1,5},{2,3},{4},{6,7}}=>{{1,3},{2,5},{4},{6,7}}
[2,5,1,4,6,3,7]=>[3,6,1,4,5,2,7]=>{{1,3},{2,6},{4},{5},{7}}=>{{1,6},{2,3},{4},{5},{7}}=>{{1,3},{2,6},{4},{5},{7}}
[2,5,1,4,6,7,3]=>[3,7,1,4,5,6,2]=>{{1,3},{2,7},{4},{5},{6}}=>{{1,7},{2,3},{4},{5},{6}}=>{{1,3},{2,7},{4},{5},{6}}
[2,5,1,4,7,3,6]=>[3,6,1,4,7,2,5]=>{{1,3},{2,6},{4},{5,7}}=>{{1,7},{2,3},{4},{5,6}}=>{{1,3},{2,6},{4},{5,7}}
[2,5,1,4,7,6,3]=>[3,7,1,4,6,5,2]=>{{1,3},{2,7},{4},{5,6}}=>{{1,6},{2,3},{4},{5,7}}=>{{1,3},{2,7},{4},{5,6}}
[2,5,1,6,3,4,7]=>[3,6,1,5,4,2,7]=>{{1,3},{2,6},{4,5},{7}}=>{{1,5},{2,3},{4,6},{7}}=>{{1,3},{2,6},{4,5},{7}}
[2,5,1,6,3,7,4]=>[3,7,1,5,4,6,2]=>{{1,3},{2,7},{4,5},{6}}=>{{1,5},{2,3},{4,7},{6}}=>{{1,3},{2,7},{4,5},{6}}
[2,5,1,6,4,3,7]=>[3,6,1,5,4,2,7]=>{{1,3},{2,6},{4,5},{7}}=>{{1,5},{2,3},{4,6},{7}}=>{{1,3},{2,6},{4,5},{7}}
[2,5,1,6,4,7,3]=>[3,7,1,5,4,6,2]=>{{1,3},{2,7},{4,5},{6}}=>{{1,5},{2,3},{4,7},{6}}=>{{1,3},{2,7},{4,5},{6}}
[2,5,1,6,7,3,4]=>[3,7,1,6,5,4,2]=>{{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,3},{4,7},{5}}=>{{1,3},{2,7},{4,6},{5}}
[2,5,1,6,7,4,3]=>[3,7,1,6,5,4,2]=>{{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,3},{4,7},{5}}=>{{1,3},{2,7},{4,6},{5}}
[2,5,1,7,3,4,6]=>[3,6,1,7,5,2,4]=>{{1,3},{2,6},{4,7},{5}}=>{{1,7},{2,3},{4,6},{5}}=>{{1,3},{2,6},{4,7},{5}}
[2,5,1,7,3,6,4]=>[3,7,1,6,5,4,2]=>{{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,3},{4,7},{5}}=>{{1,3},{2,7},{4,6},{5}}
[2,5,1,7,4,3,6]=>[3,6,1,7,5,2,4]=>{{1,3},{2,6},{4,7},{5}}=>{{1,7},{2,3},{4,6},{5}}=>{{1,3},{2,6},{4,7},{5}}
[2,5,1,7,4,6,3]=>[3,7,1,6,5,4,2]=>{{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,3},{4,7},{5}}=>{{1,3},{2,7},{4,6},{5}}
[2,5,1,7,6,3,4]=>[3,7,1,6,5,4,2]=>{{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,3},{4,7},{5}}=>{{1,3},{2,7},{4,6},{5}}
[2,5,1,7,6,4,3]=>[3,7,1,6,5,4,2]=>{{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,3},{4,7},{5}}=>{{1,3},{2,7},{4,6},{5}}
[2,5,3,1,4,6,7]=>[4,5,3,1,2,6,7]=>{{1,4},{2,5},{3},{6},{7}}=>{{1,5},{2,4},{3},{6},{7}}=>{{1,4},{2,5},{3},{6},{7}}
[2,5,3,1,4,7,6]=>[4,5,3,1,2,7,6]=>{{1,4},{2,5},{3},{6,7}}=>{{1,5},{2,4},{3},{6,7}}=>{{1,4},{2,5},{3},{6,7}}
[2,5,3,1,6,4,7]=>[4,6,3,1,5,2,7]=>{{1,4},{2,6},{3},{5},{7}}=>{{1,6},{2,4},{3},{5},{7}}=>{{1,4},{2,6},{3},{5},{7}}
[2,5,3,1,6,7,4]=>[4,7,3,1,5,6,2]=>{{1,4},{2,7},{3},{5},{6}}=>{{1,7},{2,4},{3},{5},{6}}=>{{1,4},{2,7},{3},{5},{6}}
[2,5,3,1,7,4,6]=>[4,6,3,1,7,2,5]=>{{1,4},{2,6},{3},{5,7}}=>{{1,7},{2,4},{3},{5,6}}=>{{1,4},{2,6},{3},{5,7}}
[2,5,3,1,7,6,4]=>[4,7,3,1,6,5,2]=>{{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,4},{3},{5,7}}=>{{1,4},{2,7},{3},{5,6}}
[2,5,3,4,1,6,7]=>[5,4,3,2,1,6,7]=>{{1,5},{2,4},{3},{6},{7}}=>{{1,4},{2,5},{3},{6},{7}}=>{{1,5},{2,4},{3},{6},{7}}
[2,5,3,4,1,7,6]=>[5,4,3,2,1,7,6]=>{{1,5},{2,4},{3},{6,7}}=>{{1,4},{2,5},{3},{6,7}}=>{{1,5},{2,4},{3},{6,7}}
[2,5,3,4,6,1,7]=>[6,4,3,2,5,1,7]=>{{1,6},{2,4},{3},{5},{7}}=>{{1,4},{2,6},{3},{5},{7}}=>{{1,6},{2,4},{3},{5},{7}}
[2,5,3,4,6,7,1]=>[7,4,3,2,5,6,1]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,4},{2,7},{3},{5},{6}}=>{{1,7},{2,4},{3},{5},{6}}
[2,5,3,4,7,1,6]=>[6,4,3,2,7,1,5]=>{{1,6},{2,4},{3},{5,7}}=>{{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,4},{3},{5,7}}
[2,5,3,4,7,6,1]=>[7,4,3,2,6,5,1]=>{{1,7},{2,4},{3},{5,6}}=>{{1,4},{2,6},{3},{5,7}}=>{{1,7},{2,4},{3},{5,6}}
[2,5,3,6,1,4,7]=>[5,6,3,4,1,2,7]=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}
[2,5,3,6,1,7,4]=>[5,7,3,4,1,6,2]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}
[2,5,3,6,4,1,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[2,5,3,6,4,7,1]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[2,5,3,6,7,1,4]=>[6,7,3,4,5,1,2]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[2,5,3,6,7,4,1]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[2,5,3,7,1,4,6]=>[5,6,3,7,1,2,4]=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}
[2,5,3,7,1,6,4]=>[5,7,3,6,1,4,2]=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,7},{3},{4,5}}=>{{1,5},{2,7},{3},{4,6}}
[2,5,3,7,4,1,6]=>[6,5,3,7,2,1,4]=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}
[2,5,3,7,4,6,1]=>[7,5,3,6,2,4,1]=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}
[2,5,3,7,6,1,4]=>[6,7,3,5,4,1,2]=>{{1,6},{2,7},{3},{4,5}}=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,7},{3},{4,5}}
[2,5,3,7,6,4,1]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[2,5,4,1,3,6,7]=>[4,5,3,1,2,6,7]=>{{1,4},{2,5},{3},{6},{7}}=>{{1,5},{2,4},{3},{6},{7}}=>{{1,4},{2,5},{3},{6},{7}}
[2,5,4,1,3,7,6]=>[4,5,3,1,2,7,6]=>{{1,4},{2,5},{3},{6,7}}=>{{1,5},{2,4},{3},{6,7}}=>{{1,4},{2,5},{3},{6,7}}
[2,5,4,1,6,3,7]=>[4,6,3,1,5,2,7]=>{{1,4},{2,6},{3},{5},{7}}=>{{1,6},{2,4},{3},{5},{7}}=>{{1,4},{2,6},{3},{5},{7}}
[2,5,4,1,6,7,3]=>[4,7,3,1,5,6,2]=>{{1,4},{2,7},{3},{5},{6}}=>{{1,7},{2,4},{3},{5},{6}}=>{{1,4},{2,7},{3},{5},{6}}
[2,5,4,1,7,3,6]=>[4,6,3,1,7,2,5]=>{{1,4},{2,6},{3},{5,7}}=>{{1,7},{2,4},{3},{5,6}}=>{{1,4},{2,6},{3},{5,7}}
[2,5,4,1,7,6,3]=>[4,7,3,1,6,5,2]=>{{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,4},{3},{5,7}}=>{{1,4},{2,7},{3},{5,6}}
[2,5,4,3,1,6,7]=>[5,4,3,2,1,6,7]=>{{1,5},{2,4},{3},{6},{7}}=>{{1,4},{2,5},{3},{6},{7}}=>{{1,5},{2,4},{3},{6},{7}}
[2,5,4,3,1,7,6]=>[5,4,3,2,1,7,6]=>{{1,5},{2,4},{3},{6,7}}=>{{1,4},{2,5},{3},{6,7}}=>{{1,5},{2,4},{3},{6,7}}
[2,5,4,3,6,1,7]=>[6,4,3,2,5,1,7]=>{{1,6},{2,4},{3},{5},{7}}=>{{1,4},{2,6},{3},{5},{7}}=>{{1,6},{2,4},{3},{5},{7}}
[2,5,4,3,6,7,1]=>[7,4,3,2,5,6,1]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,4},{2,7},{3},{5},{6}}=>{{1,7},{2,4},{3},{5},{6}}
[2,5,4,3,7,1,6]=>[6,4,3,2,7,1,5]=>{{1,6},{2,4},{3},{5,7}}=>{{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,4},{3},{5,7}}
[2,5,4,3,7,6,1]=>[7,4,3,2,6,5,1]=>{{1,7},{2,4},{3},{5,6}}=>{{1,4},{2,6},{3},{5,7}}=>{{1,7},{2,4},{3},{5,6}}
[2,5,4,6,1,3,7]=>[5,6,3,4,1,2,7]=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}
[2,5,4,6,1,7,3]=>[5,7,3,4,1,6,2]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}
[2,5,4,6,3,1,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[2,5,4,6,3,7,1]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[2,5,4,6,7,1,3]=>[6,7,3,4,5,1,2]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[2,5,4,6,7,3,1]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[2,5,4,7,1,3,6]=>[5,6,3,7,1,2,4]=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}
[2,5,4,7,1,6,3]=>[5,7,3,6,1,4,2]=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,7},{3},{4,5}}=>{{1,5},{2,7},{3},{4,6}}
[2,5,4,7,3,1,6]=>[6,5,3,7,2,1,4]=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}
[2,5,4,7,3,6,1]=>[7,5,3,6,2,4,1]=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}
[2,5,4,7,6,1,3]=>[6,7,3,5,4,1,2]=>{{1,6},{2,7},{3},{4,5}}=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,7},{3},{4,5}}
[2,5,4,7,6,3,1]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[2,5,6,1,3,4,7]=>[4,6,5,1,3,2,7]=>{{1,4},{2,6},{3,5},{7}}=>{{1,5},{2,6},{3,4},{7}}=>{{1,4},{2,6},{3,5},{7}}
[2,5,6,1,3,7,4]=>[4,7,5,1,3,6,2]=>{{1,4},{2,7},{3,5},{6}}=>{{1,5},{2,7},{3,4},{6}}=>{{1,4},{2,7},{3,5},{6}}
[2,5,6,1,4,3,7]=>[4,6,5,1,3,2,7]=>{{1,4},{2,6},{3,5},{7}}=>{{1,5},{2,6},{3,4},{7}}=>{{1,4},{2,6},{3,5},{7}}
[2,5,6,1,4,7,3]=>[4,7,5,1,3,6,2]=>{{1,4},{2,7},{3,5},{6}}=>{{1,5},{2,7},{3,4},{6}}=>{{1,4},{2,7},{3,5},{6}}
[2,5,6,1,7,3,4]=>[4,7,6,1,5,3,2]=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,7},{3,4},{5}}=>{{1,4},{2,7},{3,6},{5}}
[2,5,6,1,7,4,3]=>[4,7,6,1,5,3,2]=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,7},{3,4},{5}}=>{{1,4},{2,7},{3,6},{5}}
[2,5,6,3,1,4,7]=>[5,6,4,3,1,2,7]=>{{1,5},{2,6},{3,4},{7}}=>{{1,4},{2,6},{3,5},{7}}=>{{1,5},{2,6},{3,4},{7}}
[2,5,6,3,1,7,4]=>[5,7,4,3,1,6,2]=>{{1,5},{2,7},{3,4},{6}}=>{{1,4},{2,7},{3,5},{6}}=>{{1,5},{2,7},{3,4},{6}}
[2,5,6,3,4,1,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[2,5,6,3,4,7,1]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[2,5,6,3,7,1,4]=>[6,7,4,3,5,1,2]=>{{1,6},{2,7},{3,4},{5}}=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,7},{3,4},{5}}
[2,5,6,3,7,4,1]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[2,5,6,4,1,3,7]=>[5,6,4,3,1,2,7]=>{{1,5},{2,6},{3,4},{7}}=>{{1,4},{2,6},{3,5},{7}}=>{{1,5},{2,6},{3,4},{7}}
[2,5,6,4,1,7,3]=>[5,7,4,3,1,6,2]=>{{1,5},{2,7},{3,4},{6}}=>{{1,4},{2,7},{3,5},{6}}=>{{1,5},{2,7},{3,4},{6}}
[2,5,6,4,3,1,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[2,5,6,4,3,7,1]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[2,5,6,4,7,1,3]=>[6,7,4,3,5,1,2]=>{{1,6},{2,7},{3,4},{5}}=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,7},{3,4},{5}}
[2,5,6,4,7,3,1]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[2,5,6,7,1,3,4]=>[5,7,6,4,1,3,2]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}
[2,5,6,7,1,4,3]=>[5,7,6,4,1,3,2]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}
[2,5,6,7,3,1,4]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[2,5,6,7,3,4,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[2,5,6,7,4,1,3]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[2,5,6,7,4,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[2,5,7,1,3,4,6]=>[4,6,7,1,5,2,3]=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}
[2,5,7,1,3,6,4]=>[4,7,6,1,5,3,2]=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,7},{3,4},{5}}=>{{1,4},{2,7},{3,6},{5}}
[2,5,7,1,4,3,6]=>[4,6,7,1,5,2,3]=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}
[2,5,7,1,4,6,3]=>[4,7,6,1,5,3,2]=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,7},{3,4},{5}}=>{{1,4},{2,7},{3,6},{5}}
[2,5,7,1,6,3,4]=>[4,7,6,1,5,3,2]=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,7},{3,4},{5}}=>{{1,4},{2,7},{3,6},{5}}
[2,5,7,1,6,4,3]=>[4,7,6,1,5,3,2]=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,7},{3,4},{5}}=>{{1,4},{2,7},{3,6},{5}}
[2,5,7,3,1,4,6]=>[5,6,7,4,1,2,3]=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}
[2,5,7,3,1,6,4]=>[5,7,6,4,1,3,2]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}
[2,5,7,3,4,1,6]=>[6,5,7,4,2,1,3]=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
[2,5,7,3,4,6,1]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[2,5,7,3,6,1,4]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[2,5,7,3,6,4,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[2,5,7,4,1,3,6]=>[5,6,7,4,1,2,3]=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}
[2,5,7,4,1,6,3]=>[5,7,6,4,1,3,2]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}
[2,5,7,4,3,1,6]=>[6,5,7,4,2,1,3]=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
[2,5,7,4,3,6,1]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[2,5,7,4,6,1,3]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[2,5,7,4,6,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[2,5,7,6,1,3,4]=>[5,7,6,4,1,3,2]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}
[2,5,7,6,1,4,3]=>[5,7,6,4,1,3,2]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}
[2,5,7,6,3,1,4]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[2,5,7,6,3,4,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[2,5,7,6,4,1,3]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[2,5,7,6,4,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[2,6,1,3,4,5,7]=>[3,6,1,4,5,2,7]=>{{1,3},{2,6},{4},{5},{7}}=>{{1,6},{2,3},{4},{5},{7}}=>{{1,3},{2,6},{4},{5},{7}}
[2,6,1,3,4,7,5]=>[3,7,1,4,5,6,2]=>{{1,3},{2,7},{4},{5},{6}}=>{{1,7},{2,3},{4},{5},{6}}=>{{1,3},{2,7},{4},{5},{6}}
[2,6,1,3,5,4,7]=>[3,6,1,4,5,2,7]=>{{1,3},{2,6},{4},{5},{7}}=>{{1,6},{2,3},{4},{5},{7}}=>{{1,3},{2,6},{4},{5},{7}}
[2,6,1,3,5,7,4]=>[3,7,1,4,5,6,2]=>{{1,3},{2,7},{4},{5},{6}}=>{{1,7},{2,3},{4},{5},{6}}=>{{1,3},{2,7},{4},{5},{6}}
[2,6,1,3,7,4,5]=>[3,7,1,4,6,5,2]=>{{1,3},{2,7},{4},{5,6}}=>{{1,6},{2,3},{4},{5,7}}=>{{1,3},{2,7},{4},{5,6}}
[2,6,1,3,7,5,4]=>[3,7,1,4,6,5,2]=>{{1,3},{2,7},{4},{5,6}}=>{{1,6},{2,3},{4},{5,7}}=>{{1,3},{2,7},{4},{5,6}}
[2,6,1,4,3,5,7]=>[3,6,1,5,4,2,7]=>{{1,3},{2,6},{4,5},{7}}=>{{1,5},{2,3},{4,6},{7}}=>{{1,3},{2,6},{4,5},{7}}
[2,6,1,4,3,7,5]=>[3,7,1,5,4,6,2]=>{{1,3},{2,7},{4,5},{6}}=>{{1,5},{2,3},{4,7},{6}}=>{{1,3},{2,7},{4,5},{6}}
[2,6,1,4,5,3,7]=>[3,6,1,5,4,2,7]=>{{1,3},{2,6},{4,5},{7}}=>{{1,5},{2,3},{4,6},{7}}=>{{1,3},{2,6},{4,5},{7}}
[2,6,1,4,5,7,3]=>[3,7,1,5,4,6,2]=>{{1,3},{2,7},{4,5},{6}}=>{{1,5},{2,3},{4,7},{6}}=>{{1,3},{2,7},{4,5},{6}}
[2,6,1,4,7,3,5]=>[3,7,1,6,5,4,2]=>{{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,3},{4,7},{5}}=>{{1,3},{2,7},{4,6},{5}}
[2,6,1,4,7,5,3]=>[3,7,1,6,5,4,2]=>{{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,3},{4,7},{5}}=>{{1,3},{2,7},{4,6},{5}}
[2,6,1,5,3,4,7]=>[3,6,1,5,4,2,7]=>{{1,3},{2,6},{4,5},{7}}=>{{1,5},{2,3},{4,6},{7}}=>{{1,3},{2,6},{4,5},{7}}
[2,6,1,5,3,7,4]=>[3,7,1,5,4,6,2]=>{{1,3},{2,7},{4,5},{6}}=>{{1,5},{2,3},{4,7},{6}}=>{{1,3},{2,7},{4,5},{6}}
[2,6,1,5,4,3,7]=>[3,6,1,5,4,2,7]=>{{1,3},{2,6},{4,5},{7}}=>{{1,5},{2,3},{4,6},{7}}=>{{1,3},{2,6},{4,5},{7}}
[2,6,1,5,4,7,3]=>[3,7,1,5,4,6,2]=>{{1,3},{2,7},{4,5},{6}}=>{{1,5},{2,3},{4,7},{6}}=>{{1,3},{2,7},{4,5},{6}}
[2,6,1,5,7,3,4]=>[3,7,1,6,5,4,2]=>{{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,3},{4,7},{5}}=>{{1,3},{2,7},{4,6},{5}}
[2,6,1,5,7,4,3]=>[3,7,1,6,5,4,2]=>{{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,3},{4,7},{5}}=>{{1,3},{2,7},{4,6},{5}}
[2,6,1,7,3,4,5]=>[3,7,1,6,5,4,2]=>{{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,3},{4,7},{5}}=>{{1,3},{2,7},{4,6},{5}}
[2,6,1,7,3,5,4]=>[3,7,1,6,5,4,2]=>{{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,3},{4,7},{5}}=>{{1,3},{2,7},{4,6},{5}}
[2,6,1,7,4,3,5]=>[3,7,1,6,5,4,2]=>{{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,3},{4,7},{5}}=>{{1,3},{2,7},{4,6},{5}}
[2,6,1,7,4,5,3]=>[3,7,1,6,5,4,2]=>{{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,3},{4,7},{5}}=>{{1,3},{2,7},{4,6},{5}}
[2,6,1,7,5,3,4]=>[3,7,1,6,5,4,2]=>{{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,3},{4,7},{5}}=>{{1,3},{2,7},{4,6},{5}}
[2,6,1,7,5,4,3]=>[3,7,1,6,5,4,2]=>{{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,3},{4,7},{5}}=>{{1,3},{2,7},{4,6},{5}}
[2,6,3,1,4,5,7]=>[4,6,3,1,5,2,7]=>{{1,4},{2,6},{3},{5},{7}}=>{{1,6},{2,4},{3},{5},{7}}=>{{1,4},{2,6},{3},{5},{7}}
[2,6,3,1,4,7,5]=>[4,7,3,1,5,6,2]=>{{1,4},{2,7},{3},{5},{6}}=>{{1,7},{2,4},{3},{5},{6}}=>{{1,4},{2,7},{3},{5},{6}}
[2,6,3,1,5,4,7]=>[4,6,3,1,5,2,7]=>{{1,4},{2,6},{3},{5},{7}}=>{{1,6},{2,4},{3},{5},{7}}=>{{1,4},{2,6},{3},{5},{7}}
[2,6,3,1,5,7,4]=>[4,7,3,1,5,6,2]=>{{1,4},{2,7},{3},{5},{6}}=>{{1,7},{2,4},{3},{5},{6}}=>{{1,4},{2,7},{3},{5},{6}}
[2,6,3,1,7,4,5]=>[4,7,3,1,6,5,2]=>{{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,4},{3},{5,7}}=>{{1,4},{2,7},{3},{5,6}}
[2,6,3,1,7,5,4]=>[4,7,3,1,6,5,2]=>{{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,4},{3},{5,7}}=>{{1,4},{2,7},{3},{5,6}}
[2,6,3,4,1,5,7]=>[5,6,3,4,1,2,7]=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}
[2,6,3,4,1,7,5]=>[5,7,3,4,1,6,2]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}
[2,6,3,4,5,1,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[2,6,3,4,5,7,1]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[2,6,3,4,7,1,5]=>[6,7,3,4,5,1,2]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[2,6,3,4,7,5,1]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[2,6,3,5,1,4,7]=>[5,6,3,4,1,2,7]=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}
[2,6,3,5,1,7,4]=>[5,7,3,4,1,6,2]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}
[2,6,3,5,4,1,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[2,6,3,5,4,7,1]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[2,6,3,5,7,1,4]=>[6,7,3,4,5,1,2]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[2,6,3,5,7,4,1]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[2,6,3,7,1,4,5]=>[5,7,3,6,1,4,2]=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,7},{3},{4,5}}=>{{1,5},{2,7},{3},{4,6}}
[2,6,3,7,1,5,4]=>[5,7,3,6,1,4,2]=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,7},{3},{4,5}}=>{{1,5},{2,7},{3},{4,6}}
[2,6,3,7,4,1,5]=>[6,7,3,5,4,1,2]=>{{1,6},{2,7},{3},{4,5}}=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,7},{3},{4,5}}
[2,6,3,7,4,5,1]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[2,6,3,7,5,1,4]=>[6,7,3,5,4,1,2]=>{{1,6},{2,7},{3},{4,5}}=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,7},{3},{4,5}}
[2,6,3,7,5,4,1]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[2,6,4,1,3,5,7]=>[4,6,5,1,3,2,7]=>{{1,4},{2,6},{3,5},{7}}=>{{1,5},{2,6},{3,4},{7}}=>{{1,4},{2,6},{3,5},{7}}
[2,6,4,1,3,7,5]=>[4,7,5,1,3,6,2]=>{{1,4},{2,7},{3,5},{6}}=>{{1,5},{2,7},{3,4},{6}}=>{{1,4},{2,7},{3,5},{6}}
[2,6,4,1,5,3,7]=>[4,6,5,1,3,2,7]=>{{1,4},{2,6},{3,5},{7}}=>{{1,5},{2,6},{3,4},{7}}=>{{1,4},{2,6},{3,5},{7}}
[2,6,4,1,5,7,3]=>[4,7,5,1,3,6,2]=>{{1,4},{2,7},{3,5},{6}}=>{{1,5},{2,7},{3,4},{6}}=>{{1,4},{2,7},{3,5},{6}}
[2,6,4,1,7,3,5]=>[4,7,6,1,5,3,2]=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,7},{3,4},{5}}=>{{1,4},{2,7},{3,6},{5}}
[2,6,4,1,7,5,3]=>[4,7,6,1,5,3,2]=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,7},{3,4},{5}}=>{{1,4},{2,7},{3,6},{5}}
[2,6,4,3,1,5,7]=>[5,6,4,3,1,2,7]=>{{1,5},{2,6},{3,4},{7}}=>{{1,4},{2,6},{3,5},{7}}=>{{1,5},{2,6},{3,4},{7}}
[2,6,4,3,1,7,5]=>[5,7,4,3,1,6,2]=>{{1,5},{2,7},{3,4},{6}}=>{{1,4},{2,7},{3,5},{6}}=>{{1,5},{2,7},{3,4},{6}}
[2,6,4,3,5,1,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[2,6,4,3,5,7,1]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[2,6,4,3,7,1,5]=>[6,7,4,3,5,1,2]=>{{1,6},{2,7},{3,4},{5}}=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,7},{3,4},{5}}
[2,6,4,3,7,5,1]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[2,6,4,5,1,3,7]=>[5,6,4,3,1,2,7]=>{{1,5},{2,6},{3,4},{7}}=>{{1,4},{2,6},{3,5},{7}}=>{{1,5},{2,6},{3,4},{7}}
[2,6,4,5,1,7,3]=>[5,7,4,3,1,6,2]=>{{1,5},{2,7},{3,4},{6}}=>{{1,4},{2,7},{3,5},{6}}=>{{1,5},{2,7},{3,4},{6}}
[2,6,4,5,3,1,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[2,6,4,5,3,7,1]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[2,6,4,5,7,1,3]=>[6,7,4,3,5,1,2]=>{{1,6},{2,7},{3,4},{5}}=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,7},{3,4},{5}}
[2,6,4,5,7,3,1]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[2,6,4,7,1,3,5]=>[5,7,6,4,1,3,2]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}
[2,6,4,7,1,5,3]=>[5,7,6,4,1,3,2]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}
[2,6,4,7,3,1,5]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[2,6,4,7,3,5,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[2,6,4,7,5,1,3]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[2,6,4,7,5,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[2,6,5,1,3,4,7]=>[4,6,5,1,3,2,7]=>{{1,4},{2,6},{3,5},{7}}=>{{1,5},{2,6},{3,4},{7}}=>{{1,4},{2,6},{3,5},{7}}
[2,6,5,1,3,7,4]=>[4,7,5,1,3,6,2]=>{{1,4},{2,7},{3,5},{6}}=>{{1,5},{2,7},{3,4},{6}}=>{{1,4},{2,7},{3,5},{6}}
[2,6,5,1,4,3,7]=>[4,6,5,1,3,2,7]=>{{1,4},{2,6},{3,5},{7}}=>{{1,5},{2,6},{3,4},{7}}=>{{1,4},{2,6},{3,5},{7}}
[2,6,5,1,4,7,3]=>[4,7,5,1,3,6,2]=>{{1,4},{2,7},{3,5},{6}}=>{{1,5},{2,7},{3,4},{6}}=>{{1,4},{2,7},{3,5},{6}}
[2,6,5,1,7,3,4]=>[4,7,6,1,5,3,2]=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,7},{3,4},{5}}=>{{1,4},{2,7},{3,6},{5}}
[2,6,5,1,7,4,3]=>[4,7,6,1,5,3,2]=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,7},{3,4},{5}}=>{{1,4},{2,7},{3,6},{5}}
[2,6,5,3,1,4,7]=>[5,6,4,3,1,2,7]=>{{1,5},{2,6},{3,4},{7}}=>{{1,4},{2,6},{3,5},{7}}=>{{1,5},{2,6},{3,4},{7}}
[2,6,5,3,1,7,4]=>[5,7,4,3,1,6,2]=>{{1,5},{2,7},{3,4},{6}}=>{{1,4},{2,7},{3,5},{6}}=>{{1,5},{2,7},{3,4},{6}}
[2,6,5,3,4,1,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[2,6,5,3,4,7,1]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[2,6,5,3,7,1,4]=>[6,7,4,3,5,1,2]=>{{1,6},{2,7},{3,4},{5}}=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,7},{3,4},{5}}
[2,6,5,3,7,4,1]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[2,6,5,4,1,3,7]=>[5,6,4,3,1,2,7]=>{{1,5},{2,6},{3,4},{7}}=>{{1,4},{2,6},{3,5},{7}}=>{{1,5},{2,6},{3,4},{7}}
[2,6,5,4,1,7,3]=>[5,7,4,3,1,6,2]=>{{1,5},{2,7},{3,4},{6}}=>{{1,4},{2,7},{3,5},{6}}=>{{1,5},{2,7},{3,4},{6}}
[2,6,5,4,3,1,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[2,6,5,4,3,7,1]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[2,6,5,4,7,1,3]=>[6,7,4,3,5,1,2]=>{{1,6},{2,7},{3,4},{5}}=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,7},{3,4},{5}}
[2,6,5,4,7,3,1]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[2,6,5,7,1,3,4]=>[5,7,6,4,1,3,2]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}
[2,6,5,7,1,4,3]=>[5,7,6,4,1,3,2]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}
[2,6,5,7,3,1,4]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[2,6,5,7,3,4,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[2,6,5,7,4,1,3]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[2,6,5,7,4,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[2,6,7,1,3,4,5]=>[4,7,6,1,5,3,2]=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,7},{3,4},{5}}=>{{1,4},{2,7},{3,6},{5}}
[2,6,7,1,3,5,4]=>[4,7,6,1,5,3,2]=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,7},{3,4},{5}}=>{{1,4},{2,7},{3,6},{5}}
[2,6,7,1,4,3,5]=>[4,7,6,1,5,3,2]=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,7},{3,4},{5}}=>{{1,4},{2,7},{3,6},{5}}
[2,6,7,1,4,5,3]=>[4,7,6,1,5,3,2]=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,7},{3,4},{5}}=>{{1,4},{2,7},{3,6},{5}}
[2,6,7,1,5,3,4]=>[4,7,6,1,5,3,2]=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,7},{3,4},{5}}=>{{1,4},{2,7},{3,6},{5}}
[2,6,7,1,5,4,3]=>[4,7,6,1,5,3,2]=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,7},{3,4},{5}}=>{{1,4},{2,7},{3,6},{5}}
[2,6,7,3,1,4,5]=>[5,7,6,4,1,3,2]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}
[2,6,7,3,1,5,4]=>[5,7,6,4,1,3,2]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}
[2,6,7,3,4,1,5]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[2,6,7,3,4,5,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[2,6,7,3,5,1,4]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[2,6,7,3,5,4,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[2,6,7,4,1,3,5]=>[5,7,6,4,1,3,2]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}
[2,6,7,4,1,5,3]=>[5,7,6,4,1,3,2]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}
[2,6,7,4,3,1,5]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[2,6,7,4,3,5,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[2,6,7,4,5,1,3]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[2,6,7,4,5,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[2,6,7,5,1,3,4]=>[5,7,6,4,1,3,2]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}
[2,6,7,5,1,4,3]=>[5,7,6,4,1,3,2]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}
[2,6,7,5,3,1,4]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[2,6,7,5,3,4,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[2,6,7,5,4,1,3]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[2,6,7,5,4,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[2,7,1,3,4,5,6]=>[3,7,1,4,5,6,2]=>{{1,3},{2,7},{4},{5},{6}}=>{{1,7},{2,3},{4},{5},{6}}=>{{1,3},{2,7},{4},{5},{6}}
[2,7,1,3,4,6,5]=>[3,7,1,4,5,6,2]=>{{1,3},{2,7},{4},{5},{6}}=>{{1,7},{2,3},{4},{5},{6}}=>{{1,3},{2,7},{4},{5},{6}}
[2,7,1,3,5,4,6]=>[3,7,1,4,6,5,2]=>{{1,3},{2,7},{4},{5,6}}=>{{1,6},{2,3},{4},{5,7}}=>{{1,3},{2,7},{4},{5,6}}
[2,7,1,3,5,6,4]=>[3,7,1,4,6,5,2]=>{{1,3},{2,7},{4},{5,6}}=>{{1,6},{2,3},{4},{5,7}}=>{{1,3},{2,7},{4},{5,6}}
[2,7,1,3,6,4,5]=>[3,7,1,4,6,5,2]=>{{1,3},{2,7},{4},{5,6}}=>{{1,6},{2,3},{4},{5,7}}=>{{1,3},{2,7},{4},{5,6}}
[2,7,1,3,6,5,4]=>[3,7,1,4,6,5,2]=>{{1,3},{2,7},{4},{5,6}}=>{{1,6},{2,3},{4},{5,7}}=>{{1,3},{2,7},{4},{5,6}}
[2,7,1,4,3,5,6]=>[3,7,1,5,4,6,2]=>{{1,3},{2,7},{4,5},{6}}=>{{1,5},{2,3},{4,7},{6}}=>{{1,3},{2,7},{4,5},{6}}
[2,7,1,4,3,6,5]=>[3,7,1,5,4,6,2]=>{{1,3},{2,7},{4,5},{6}}=>{{1,5},{2,3},{4,7},{6}}=>{{1,3},{2,7},{4,5},{6}}
[2,7,1,4,5,3,6]=>[3,7,1,6,5,4,2]=>{{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,3},{4,7},{5}}=>{{1,3},{2,7},{4,6},{5}}
[2,7,1,4,5,6,3]=>[3,7,1,6,5,4,2]=>{{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,3},{4,7},{5}}=>{{1,3},{2,7},{4,6},{5}}
[2,7,1,4,6,3,5]=>[3,7,1,6,5,4,2]=>{{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,3},{4,7},{5}}=>{{1,3},{2,7},{4,6},{5}}
[2,7,1,4,6,5,3]=>[3,7,1,6,5,4,2]=>{{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,3},{4,7},{5}}=>{{1,3},{2,7},{4,6},{5}}
[2,7,1,5,3,4,6]=>[3,7,1,6,5,4,2]=>{{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,3},{4,7},{5}}=>{{1,3},{2,7},{4,6},{5}}
[2,7,1,5,3,6,4]=>[3,7,1,6,5,4,2]=>{{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,3},{4,7},{5}}=>{{1,3},{2,7},{4,6},{5}}
[2,7,1,5,4,3,6]=>[3,7,1,6,5,4,2]=>{{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,3},{4,7},{5}}=>{{1,3},{2,7},{4,6},{5}}
[2,7,1,5,4,6,3]=>[3,7,1,6,5,4,2]=>{{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,3},{4,7},{5}}=>{{1,3},{2,7},{4,6},{5}}
[2,7,1,5,6,3,4]=>[3,7,1,6,5,4,2]=>{{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,3},{4,7},{5}}=>{{1,3},{2,7},{4,6},{5}}
[2,7,1,5,6,4,3]=>[3,7,1,6,5,4,2]=>{{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,3},{4,7},{5}}=>{{1,3},{2,7},{4,6},{5}}
[2,7,1,6,3,4,5]=>[3,7,1,6,5,4,2]=>{{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,3},{4,7},{5}}=>{{1,3},{2,7},{4,6},{5}}
[2,7,1,6,3,5,4]=>[3,7,1,6,5,4,2]=>{{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,3},{4,7},{5}}=>{{1,3},{2,7},{4,6},{5}}
[2,7,1,6,4,3,5]=>[3,7,1,6,5,4,2]=>{{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,3},{4,7},{5}}=>{{1,3},{2,7},{4,6},{5}}
[2,7,1,6,4,5,3]=>[3,7,1,6,5,4,2]=>{{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,3},{4,7},{5}}=>{{1,3},{2,7},{4,6},{5}}
[2,7,1,6,5,3,4]=>[3,7,1,6,5,4,2]=>{{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,3},{4,7},{5}}=>{{1,3},{2,7},{4,6},{5}}
[2,7,1,6,5,4,3]=>[3,7,1,6,5,4,2]=>{{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,3},{4,7},{5}}=>{{1,3},{2,7},{4,6},{5}}
[2,7,3,1,4,5,6]=>[4,7,3,1,5,6,2]=>{{1,4},{2,7},{3},{5},{6}}=>{{1,7},{2,4},{3},{5},{6}}=>{{1,4},{2,7},{3},{5},{6}}
[2,7,3,1,4,6,5]=>[4,7,3,1,5,6,2]=>{{1,4},{2,7},{3},{5},{6}}=>{{1,7},{2,4},{3},{5},{6}}=>{{1,4},{2,7},{3},{5},{6}}
[2,7,3,1,5,4,6]=>[4,7,3,1,6,5,2]=>{{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,4},{3},{5,7}}=>{{1,4},{2,7},{3},{5,6}}
[2,7,3,1,5,6,4]=>[4,7,3,1,6,5,2]=>{{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,4},{3},{5,7}}=>{{1,4},{2,7},{3},{5,6}}
[2,7,3,1,6,4,5]=>[4,7,3,1,6,5,2]=>{{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,4},{3},{5,7}}=>{{1,4},{2,7},{3},{5,6}}
[2,7,3,1,6,5,4]=>[4,7,3,1,6,5,2]=>{{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,4},{3},{5,7}}=>{{1,4},{2,7},{3},{5,6}}
[2,7,3,4,1,5,6]=>[5,7,3,4,1,6,2]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}
[2,7,3,4,1,6,5]=>[5,7,3,4,1,6,2]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}
[2,7,3,4,5,1,6]=>[6,7,3,4,5,1,2]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[2,7,3,4,5,6,1]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[2,7,3,4,6,1,5]=>[6,7,3,4,5,1,2]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[2,7,3,4,6,5,1]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[2,7,3,5,1,4,6]=>[5,7,3,6,1,4,2]=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,7},{3},{4,5}}=>{{1,5},{2,7},{3},{4,6}}
[2,7,3,5,1,6,4]=>[5,7,3,6,1,4,2]=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,7},{3},{4,5}}=>{{1,5},{2,7},{3},{4,6}}
[2,7,3,5,4,1,6]=>[6,7,3,5,4,1,2]=>{{1,6},{2,7},{3},{4,5}}=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,7},{3},{4,5}}
[2,7,3,5,4,6,1]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[2,7,3,5,6,1,4]=>[6,7,3,5,4,1,2]=>{{1,6},{2,7},{3},{4,5}}=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,7},{3},{4,5}}
[2,7,3,5,6,4,1]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[2,7,3,6,1,4,5]=>[5,7,3,6,1,4,2]=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,7},{3},{4,5}}=>{{1,5},{2,7},{3},{4,6}}
[2,7,3,6,1,5,4]=>[5,7,3,6,1,4,2]=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,7},{3},{4,5}}=>{{1,5},{2,7},{3},{4,6}}
[2,7,3,6,4,1,5]=>[6,7,3,5,4,1,2]=>{{1,6},{2,7},{3},{4,5}}=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,7},{3},{4,5}}
[2,7,3,6,4,5,1]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[2,7,3,6,5,1,4]=>[6,7,3,5,4,1,2]=>{{1,6},{2,7},{3},{4,5}}=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,7},{3},{4,5}}
[2,7,3,6,5,4,1]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[2,7,4,1,3,5,6]=>[4,7,5,1,3,6,2]=>{{1,4},{2,7},{3,5},{6}}=>{{1,5},{2,7},{3,4},{6}}=>{{1,4},{2,7},{3,5},{6}}
[2,7,4,1,3,6,5]=>[4,7,5,1,3,6,2]=>{{1,4},{2,7},{3,5},{6}}=>{{1,5},{2,7},{3,4},{6}}=>{{1,4},{2,7},{3,5},{6}}
[2,7,4,1,5,3,6]=>[4,7,6,1,5,3,2]=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,7},{3,4},{5}}=>{{1,4},{2,7},{3,6},{5}}
[2,7,4,1,5,6,3]=>[4,7,6,1,5,3,2]=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,7},{3,4},{5}}=>{{1,4},{2,7},{3,6},{5}}
[2,7,4,1,6,3,5]=>[4,7,6,1,5,3,2]=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,7},{3,4},{5}}=>{{1,4},{2,7},{3,6},{5}}
[2,7,4,1,6,5,3]=>[4,7,6,1,5,3,2]=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,7},{3,4},{5}}=>{{1,4},{2,7},{3,6},{5}}
[2,7,4,3,1,5,6]=>[5,7,4,3,1,6,2]=>{{1,5},{2,7},{3,4},{6}}=>{{1,4},{2,7},{3,5},{6}}=>{{1,5},{2,7},{3,4},{6}}
[2,7,4,3,1,6,5]=>[5,7,4,3,1,6,2]=>{{1,5},{2,7},{3,4},{6}}=>{{1,4},{2,7},{3,5},{6}}=>{{1,5},{2,7},{3,4},{6}}
[2,7,4,3,5,1,6]=>[6,7,4,3,5,1,2]=>{{1,6},{2,7},{3,4},{5}}=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,7},{3,4},{5}}
[2,7,4,3,5,6,1]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[2,7,4,3,6,1,5]=>[6,7,4,3,5,1,2]=>{{1,6},{2,7},{3,4},{5}}=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,7},{3,4},{5}}
[2,7,4,3,6,5,1]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[2,7,4,5,1,3,6]=>[5,7,6,4,1,3,2]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}
[2,7,4,5,1,6,3]=>[5,7,6,4,1,3,2]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}
[2,7,4,5,3,1,6]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[2,7,4,5,3,6,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[2,7,4,5,6,1,3]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[2,7,4,5,6,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[2,7,4,6,1,3,5]=>[5,7,6,4,1,3,2]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}
[2,7,4,6,1,5,3]=>[5,7,6,4,1,3,2]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}
[2,7,4,6,3,1,5]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[2,7,4,6,3,5,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[2,7,4,6,5,1,3]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[2,7,4,6,5,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[2,7,5,1,3,4,6]=>[4,7,6,1,5,3,2]=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,7},{3,4},{5}}=>{{1,4},{2,7},{3,6},{5}}
[2,7,5,1,3,6,4]=>[4,7,6,1,5,3,2]=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,7},{3,4},{5}}=>{{1,4},{2,7},{3,6},{5}}
[2,7,5,1,4,3,6]=>[4,7,6,1,5,3,2]=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,7},{3,4},{5}}=>{{1,4},{2,7},{3,6},{5}}
[2,7,5,1,4,6,3]=>[4,7,6,1,5,3,2]=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,7},{3,4},{5}}=>{{1,4},{2,7},{3,6},{5}}
[2,7,5,1,6,3,4]=>[4,7,6,1,5,3,2]=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,7},{3,4},{5}}=>{{1,4},{2,7},{3,6},{5}}
[2,7,5,1,6,4,3]=>[4,7,6,1,5,3,2]=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,7},{3,4},{5}}=>{{1,4},{2,7},{3,6},{5}}
[2,7,5,3,1,4,6]=>[5,7,6,4,1,3,2]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}
[2,7,5,3,1,6,4]=>[5,7,6,4,1,3,2]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}
[2,7,5,3,4,1,6]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[2,7,5,3,4,6,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[2,7,5,3,6,1,4]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[2,7,5,3,6,4,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[2,7,5,4,1,3,6]=>[5,7,6,4,1,3,2]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}
[2,7,5,4,1,6,3]=>[5,7,6,4,1,3,2]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}
[2,7,5,4,3,1,6]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[2,7,5,4,3,6,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[2,7,5,4,6,1,3]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[2,7,5,4,6,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[2,7,5,6,1,3,4]=>[5,7,6,4,1,3,2]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}
[2,7,5,6,1,4,3]=>[5,7,6,4,1,3,2]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}
[2,7,5,6,3,1,4]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[2,7,5,6,3,4,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[2,7,5,6,4,1,3]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[2,7,5,6,4,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[2,7,6,1,3,4,5]=>[4,7,6,1,5,3,2]=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,7},{3,4},{5}}=>{{1,4},{2,7},{3,6},{5}}
[2,7,6,1,3,5,4]=>[4,7,6,1,5,3,2]=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,7},{3,4},{5}}=>{{1,4},{2,7},{3,6},{5}}
[2,7,6,1,4,3,5]=>[4,7,6,1,5,3,2]=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,7},{3,4},{5}}=>{{1,4},{2,7},{3,6},{5}}
[2,7,6,1,4,5,3]=>[4,7,6,1,5,3,2]=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,7},{3,4},{5}}=>{{1,4},{2,7},{3,6},{5}}
[2,7,6,1,5,3,4]=>[4,7,6,1,5,3,2]=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,7},{3,4},{5}}=>{{1,4},{2,7},{3,6},{5}}
[2,7,6,1,5,4,3]=>[4,7,6,1,5,3,2]=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,7},{3,4},{5}}=>{{1,4},{2,7},{3,6},{5}}
[2,7,6,3,1,4,5]=>[5,7,6,4,1,3,2]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}
[2,7,6,3,1,5,4]=>[5,7,6,4,1,3,2]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}
[2,7,6,3,4,1,5]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[2,7,6,3,4,5,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[2,7,6,3,5,1,4]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[2,7,6,3,5,4,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[2,7,6,4,1,3,5]=>[5,7,6,4,1,3,2]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}
[2,7,6,4,1,5,3]=>[5,7,6,4,1,3,2]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}
[2,7,6,4,3,1,5]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[2,7,6,4,3,5,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[2,7,6,4,5,1,3]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[2,7,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[2,7,6,5,1,3,4]=>[5,7,6,4,1,3,2]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}
[2,7,6,5,1,4,3]=>[5,7,6,4,1,3,2]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}
[2,7,6,5,3,1,4]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[2,7,6,5,3,4,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[2,7,6,5,4,1,3]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[2,7,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[3,1,2,4,5,6,7]=>[3,2,1,4,5,6,7]=>{{1,3},{2},{4},{5},{6},{7}}=>{{1,3},{2},{4},{5},{6},{7}}=>{{1,3},{2},{4},{5},{6},{7}}
[3,1,2,4,5,7,6]=>[3,2,1,4,5,7,6]=>{{1,3},{2},{4},{5},{6,7}}=>{{1,3},{2},{4},{5},{6,7}}=>{{1,3},{2},{4},{5},{6,7}}
[3,1,2,4,6,5,7]=>[3,2,1,4,6,5,7]=>{{1,3},{2},{4},{5,6},{7}}=>{{1,3},{2},{4},{5,6},{7}}=>{{1,3},{2},{4},{5,6},{7}}
[3,1,2,4,6,7,5]=>[3,2,1,4,7,6,5]=>{{1,3},{2},{4},{5,7},{6}}=>{{1,3},{2},{4},{5,7},{6}}=>{{1,3},{2},{4},{5,7},{6}}
[3,1,2,4,7,5,6]=>[3,2,1,4,7,6,5]=>{{1,3},{2},{4},{5,7},{6}}=>{{1,3},{2},{4},{5,7},{6}}=>{{1,3},{2},{4},{5,7},{6}}
[3,1,2,4,7,6,5]=>[3,2,1,4,7,6,5]=>{{1,3},{2},{4},{5,7},{6}}=>{{1,3},{2},{4},{5,7},{6}}=>{{1,3},{2},{4},{5,7},{6}}
[3,1,2,5,4,6,7]=>[3,2,1,5,4,6,7]=>{{1,3},{2},{4,5},{6},{7}}=>{{1,3},{2},{4,5},{6},{7}}=>{{1,3},{2},{4,5},{6},{7}}
[3,1,2,5,4,7,6]=>[3,2,1,5,4,7,6]=>{{1,3},{2},{4,5},{6,7}}=>{{1,3},{2},{4,5},{6,7}}=>{{1,3},{2},{4,5},{6,7}}
[3,1,2,5,6,4,7]=>[3,2,1,6,5,4,7]=>{{1,3},{2},{4,6},{5},{7}}=>{{1,3},{2},{4,6},{5},{7}}=>{{1,3},{2},{4,6},{5},{7}}
[3,1,2,5,6,7,4]=>[3,2,1,7,5,6,4]=>{{1,3},{2},{4,7},{5},{6}}=>{{1,3},{2},{4,7},{5},{6}}=>{{1,3},{2},{4,7},{5},{6}}
[3,1,2,5,7,4,6]=>[3,2,1,6,7,4,5]=>{{1,3},{2},{4,6},{5,7}}=>{{1,3},{2},{4,7},{5,6}}=>{{1,3},{2},{4,6},{5,7}}
[3,1,2,5,7,6,4]=>[3,2,1,7,6,5,4]=>{{1,3},{2},{4,7},{5,6}}=>{{1,3},{2},{4,6},{5,7}}=>{{1,3},{2},{4,7},{5,6}}
[3,1,2,6,4,5,7]=>[3,2,1,6,5,4,7]=>{{1,3},{2},{4,6},{5},{7}}=>{{1,3},{2},{4,6},{5},{7}}=>{{1,3},{2},{4,6},{5},{7}}
[3,1,2,6,4,7,5]=>[3,2,1,7,5,6,4]=>{{1,3},{2},{4,7},{5},{6}}=>{{1,3},{2},{4,7},{5},{6}}=>{{1,3},{2},{4,7},{5},{6}}
[3,1,2,6,5,4,7]=>[3,2,1,6,5,4,7]=>{{1,3},{2},{4,6},{5},{7}}=>{{1,3},{2},{4,6},{5},{7}}=>{{1,3},{2},{4,6},{5},{7}}
[3,1,2,6,5,7,4]=>[3,2,1,7,5,6,4]=>{{1,3},{2},{4,7},{5},{6}}=>{{1,3},{2},{4,7},{5},{6}}=>{{1,3},{2},{4,7},{5},{6}}
[3,1,2,6,7,4,5]=>[3,2,1,7,6,5,4]=>{{1,3},{2},{4,7},{5,6}}=>{{1,3},{2},{4,6},{5,7}}=>{{1,3},{2},{4,7},{5,6}}
[3,1,2,6,7,5,4]=>[3,2,1,7,6,5,4]=>{{1,3},{2},{4,7},{5,6}}=>{{1,3},{2},{4,6},{5,7}}=>{{1,3},{2},{4,7},{5,6}}
[3,1,2,7,4,5,6]=>[3,2,1,7,5,6,4]=>{{1,3},{2},{4,7},{5},{6}}=>{{1,3},{2},{4,7},{5},{6}}=>{{1,3},{2},{4,7},{5},{6}}
[3,1,2,7,4,6,5]=>[3,2,1,7,5,6,4]=>{{1,3},{2},{4,7},{5},{6}}=>{{1,3},{2},{4,7},{5},{6}}=>{{1,3},{2},{4,7},{5},{6}}
[3,1,2,7,5,4,6]=>[3,2,1,7,6,5,4]=>{{1,3},{2},{4,7},{5,6}}=>{{1,3},{2},{4,6},{5,7}}=>{{1,3},{2},{4,7},{5,6}}
[3,1,2,7,5,6,4]=>[3,2,1,7,6,5,4]=>{{1,3},{2},{4,7},{5,6}}=>{{1,3},{2},{4,6},{5,7}}=>{{1,3},{2},{4,7},{5,6}}
[3,1,2,7,6,4,5]=>[3,2,1,7,6,5,4]=>{{1,3},{2},{4,7},{5,6}}=>{{1,3},{2},{4,6},{5,7}}=>{{1,3},{2},{4,7},{5,6}}
[3,1,2,7,6,5,4]=>[3,2,1,7,6,5,4]=>{{1,3},{2},{4,7},{5,6}}=>{{1,3},{2},{4,6},{5,7}}=>{{1,3},{2},{4,7},{5,6}}
[3,1,4,2,5,6,7]=>[4,2,3,1,5,6,7]=>{{1,4},{2},{3},{5},{6},{7}}=>{{1,4},{2},{3},{5},{6},{7}}=>{{1,4},{2},{3},{5},{6},{7}}
[3,1,4,2,5,7,6]=>[4,2,3,1,5,7,6]=>{{1,4},{2},{3},{5},{6,7}}=>{{1,4},{2},{3},{5},{6,7}}=>{{1,4},{2},{3},{5},{6,7}}
[3,1,4,2,6,5,7]=>[4,2,3,1,6,5,7]=>{{1,4},{2},{3},{5,6},{7}}=>{{1,4},{2},{3},{5,6},{7}}=>{{1,4},{2},{3},{5,6},{7}}
[3,1,4,2,6,7,5]=>[4,2,3,1,7,6,5]=>{{1,4},{2},{3},{5,7},{6}}=>{{1,4},{2},{3},{5,7},{6}}=>{{1,4},{2},{3},{5,7},{6}}
[3,1,4,2,7,5,6]=>[4,2,3,1,7,6,5]=>{{1,4},{2},{3},{5,7},{6}}=>{{1,4},{2},{3},{5,7},{6}}=>{{1,4},{2},{3},{5,7},{6}}
[3,1,4,2,7,6,5]=>[4,2,3,1,7,6,5]=>{{1,4},{2},{3},{5,7},{6}}=>{{1,4},{2},{3},{5,7},{6}}=>{{1,4},{2},{3},{5,7},{6}}
[3,1,4,5,2,6,7]=>[5,2,3,4,1,6,7]=>{{1,5},{2},{3},{4},{6},{7}}=>{{1,5},{2},{3},{4},{6},{7}}=>{{1,5},{2},{3},{4},{6},{7}}
[3,1,4,5,2,7,6]=>[5,2,3,4,1,7,6]=>{{1,5},{2},{3},{4},{6,7}}=>{{1,5},{2},{3},{4},{6,7}}=>{{1,5},{2},{3},{4},{6,7}}
[3,1,4,5,6,2,7]=>[6,2,3,4,5,1,7]=>{{1,6},{2},{3},{4},{5},{7}}=>{{1,6},{2},{3},{4},{5},{7}}=>{{1,6},{2},{3},{4},{5},{7}}
[3,1,4,5,6,7,2]=>[7,2,3,4,5,6,1]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5},{6}}
[3,1,4,5,7,2,6]=>[6,2,3,4,7,1,5]=>{{1,6},{2},{3},{4},{5,7}}=>{{1,7},{2},{3},{4},{5,6}}=>{{1,6},{2},{3},{4},{5,7}}
[3,1,4,5,7,6,2]=>[7,2,3,4,6,5,1]=>{{1,7},{2},{3},{4},{5,6}}=>{{1,6},{2},{3},{4},{5,7}}=>{{1,7},{2},{3},{4},{5,6}}
[3,1,4,6,2,5,7]=>[5,2,3,6,1,4,7]=>{{1,5},{2},{3},{4,6},{7}}=>{{1,6},{2},{3},{4,5},{7}}=>{{1,5},{2},{3},{4,6},{7}}
[3,1,4,6,2,7,5]=>[5,2,3,7,1,6,4]=>{{1,5},{2},{3},{4,7},{6}}=>{{1,7},{2},{3},{4,5},{6}}=>{{1,5},{2},{3},{4,7},{6}}
[3,1,4,6,5,2,7]=>[6,2,3,5,4,1,7]=>{{1,6},{2},{3},{4,5},{7}}=>{{1,5},{2},{3},{4,6},{7}}=>{{1,6},{2},{3},{4,5},{7}}
[3,1,4,6,5,7,2]=>[7,2,3,5,4,6,1]=>{{1,7},{2},{3},{4,5},{6}}=>{{1,5},{2},{3},{4,7},{6}}=>{{1,7},{2},{3},{4,5},{6}}
[3,1,4,6,7,2,5]=>[6,2,3,7,5,1,4]=>{{1,6},{2},{3},{4,7},{5}}=>{{1,7},{2},{3},{4,6},{5}}=>{{1,6},{2},{3},{4,7},{5}}
[3,1,4,6,7,5,2]=>[7,2,3,6,5,4,1]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,6},{2},{3},{4,7},{5}}=>{{1,7},{2},{3},{4,6},{5}}
[3,1,4,7,2,5,6]=>[5,2,3,7,1,6,4]=>{{1,5},{2},{3},{4,7},{6}}=>{{1,7},{2},{3},{4,5},{6}}=>{{1,5},{2},{3},{4,7},{6}}
[3,1,4,7,2,6,5]=>[5,2,3,7,1,6,4]=>{{1,5},{2},{3},{4,7},{6}}=>{{1,7},{2},{3},{4,5},{6}}=>{{1,5},{2},{3},{4,7},{6}}
[3,1,4,7,5,2,6]=>[6,2,3,7,5,1,4]=>{{1,6},{2},{3},{4,7},{5}}=>{{1,7},{2},{3},{4,6},{5}}=>{{1,6},{2},{3},{4,7},{5}}
[3,1,4,7,5,6,2]=>[7,2,3,6,5,4,1]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,6},{2},{3},{4,7},{5}}=>{{1,7},{2},{3},{4,6},{5}}
[3,1,4,7,6,2,5]=>[6,2,3,7,5,1,4]=>{{1,6},{2},{3},{4,7},{5}}=>{{1,7},{2},{3},{4,6},{5}}=>{{1,6},{2},{3},{4,7},{5}}
[3,1,4,7,6,5,2]=>[7,2,3,6,5,4,1]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,6},{2},{3},{4,7},{5}}=>{{1,7},{2},{3},{4,6},{5}}
[3,1,5,2,4,6,7]=>[4,2,5,1,3,6,7]=>{{1,4},{2},{3,5},{6},{7}}=>{{1,5},{2},{3,4},{6},{7}}=>{{1,4},{2},{3,5},{6},{7}}
[3,1,5,2,4,7,6]=>[4,2,5,1,3,7,6]=>{{1,4},{2},{3,5},{6,7}}=>{{1,5},{2},{3,4},{6,7}}=>{{1,4},{2},{3,5},{6,7}}
[3,1,5,2,6,4,7]=>[4,2,6,1,5,3,7]=>{{1,4},{2},{3,6},{5},{7}}=>{{1,6},{2},{3,4},{5},{7}}=>{{1,4},{2},{3,6},{5},{7}}
[3,1,5,2,6,7,4]=>[4,2,7,1,5,6,3]=>{{1,4},{2},{3,7},{5},{6}}=>{{1,7},{2},{3,4},{5},{6}}=>{{1,4},{2},{3,7},{5},{6}}
[3,1,5,2,7,4,6]=>[4,2,6,1,7,3,5]=>{{1,4},{2},{3,6},{5,7}}=>{{1,7},{2},{3,4},{5,6}}=>{{1,4},{2},{3,6},{5,7}}
[3,1,5,2,7,6,4]=>[4,2,7,1,6,5,3]=>{{1,4},{2},{3,7},{5,6}}=>{{1,6},{2},{3,4},{5,7}}=>{{1,4},{2},{3,7},{5,6}}
[3,1,5,4,2,6,7]=>[5,2,4,3,1,6,7]=>{{1,5},{2},{3,4},{6},{7}}=>{{1,4},{2},{3,5},{6},{7}}=>{{1,5},{2},{3,4},{6},{7}}
[3,1,5,4,2,7,6]=>[5,2,4,3,1,7,6]=>{{1,5},{2},{3,4},{6,7}}=>{{1,4},{2},{3,5},{6,7}}=>{{1,5},{2},{3,4},{6,7}}
[3,1,5,4,6,2,7]=>[6,2,4,3,5,1,7]=>{{1,6},{2},{3,4},{5},{7}}=>{{1,4},{2},{3,6},{5},{7}}=>{{1,6},{2},{3,4},{5},{7}}
[3,1,5,4,6,7,2]=>[7,2,4,3,5,6,1]=>{{1,7},{2},{3,4},{5},{6}}=>{{1,4},{2},{3,7},{5},{6}}=>{{1,7},{2},{3,4},{5},{6}}
[3,1,5,4,7,2,6]=>[6,2,4,3,7,1,5]=>{{1,6},{2},{3,4},{5,7}}=>{{1,4},{2},{3,7},{5,6}}=>{{1,6},{2},{3,4},{5,7}}
[3,1,5,4,7,6,2]=>[7,2,4,3,6,5,1]=>{{1,7},{2},{3,4},{5,6}}=>{{1,4},{2},{3,6},{5,7}}=>{{1,7},{2},{3,4},{5,6}}
[3,1,5,6,2,4,7]=>[5,2,6,4,1,3,7]=>{{1,5},{2},{3,6},{4},{7}}=>{{1,6},{2},{3,5},{4},{7}}=>{{1,5},{2},{3,6},{4},{7}}
[3,1,5,6,2,7,4]=>[5,2,7,4,1,6,3]=>{{1,5},{2},{3,7},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}
[3,1,5,6,4,2,7]=>[6,2,5,4,3,1,7]=>{{1,6},{2},{3,5},{4},{7}}=>{{1,5},{2},{3,6},{4},{7}}=>{{1,6},{2},{3,5},{4},{7}}
[3,1,5,6,4,7,2]=>[7,2,5,4,3,6,1]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}
[3,1,5,6,7,2,4]=>[6,2,7,4,5,1,3]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}
[3,1,5,6,7,4,2]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[3,1,5,7,2,4,6]=>[5,2,6,7,1,3,4]=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}
[3,1,5,7,2,6,4]=>[5,2,7,6,1,4,3]=>{{1,5},{2},{3,7},{4,6}}=>{{1,6},{2},{3,7},{4,5}}=>{{1,5},{2},{3,7},{4,6}}
[3,1,5,7,4,2,6]=>[6,2,5,7,3,1,4]=>{{1,6},{2},{3,5},{4,7}}=>{{1,7},{2},{3,5},{4,6}}=>{{1,6},{2},{3,5},{4,7}}
[3,1,5,7,4,6,2]=>[7,2,5,6,3,4,1]=>{{1,7},{2},{3,5},{4,6}}=>{{1,6},{2},{3,5},{4,7}}=>{{1,7},{2},{3,5},{4,6}}
[3,1,5,7,6,2,4]=>[6,2,7,5,4,1,3]=>{{1,6},{2},{3,7},{4,5}}=>{{1,5},{2},{3,7},{4,6}}=>{{1,6},{2},{3,7},{4,5}}
[3,1,5,7,6,4,2]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[3,1,6,2,4,5,7]=>[4,2,6,1,5,3,7]=>{{1,4},{2},{3,6},{5},{7}}=>{{1,6},{2},{3,4},{5},{7}}=>{{1,4},{2},{3,6},{5},{7}}
[3,1,6,2,4,7,5]=>[4,2,7,1,5,6,3]=>{{1,4},{2},{3,7},{5},{6}}=>{{1,7},{2},{3,4},{5},{6}}=>{{1,4},{2},{3,7},{5},{6}}
[3,1,6,2,5,4,7]=>[4,2,6,1,5,3,7]=>{{1,4},{2},{3,6},{5},{7}}=>{{1,6},{2},{3,4},{5},{7}}=>{{1,4},{2},{3,6},{5},{7}}
[3,1,6,2,5,7,4]=>[4,2,7,1,5,6,3]=>{{1,4},{2},{3,7},{5},{6}}=>{{1,7},{2},{3,4},{5},{6}}=>{{1,4},{2},{3,7},{5},{6}}
[3,1,6,2,7,4,5]=>[4,2,7,1,6,5,3]=>{{1,4},{2},{3,7},{5,6}}=>{{1,6},{2},{3,4},{5,7}}=>{{1,4},{2},{3,7},{5,6}}
[3,1,6,2,7,5,4]=>[4,2,7,1,6,5,3]=>{{1,4},{2},{3,7},{5,6}}=>{{1,6},{2},{3,4},{5,7}}=>{{1,4},{2},{3,7},{5,6}}
[3,1,6,4,2,5,7]=>[5,2,6,4,1,3,7]=>{{1,5},{2},{3,6},{4},{7}}=>{{1,6},{2},{3,5},{4},{7}}=>{{1,5},{2},{3,6},{4},{7}}
[3,1,6,4,2,7,5]=>[5,2,7,4,1,6,3]=>{{1,5},{2},{3,7},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}
[3,1,6,4,5,2,7]=>[6,2,5,4,3,1,7]=>{{1,6},{2},{3,5},{4},{7}}=>{{1,5},{2},{3,6},{4},{7}}=>{{1,6},{2},{3,5},{4},{7}}
[3,1,6,4,5,7,2]=>[7,2,5,4,3,6,1]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}
[3,1,6,4,7,2,5]=>[6,2,7,4,5,1,3]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}
[3,1,6,4,7,5,2]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[3,1,6,5,2,4,7]=>[5,2,6,4,1,3,7]=>{{1,5},{2},{3,6},{4},{7}}=>{{1,6},{2},{3,5},{4},{7}}=>{{1,5},{2},{3,6},{4},{7}}
[3,1,6,5,2,7,4]=>[5,2,7,4,1,6,3]=>{{1,5},{2},{3,7},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}
[3,1,6,5,4,2,7]=>[6,2,5,4,3,1,7]=>{{1,6},{2},{3,5},{4},{7}}=>{{1,5},{2},{3,6},{4},{7}}=>{{1,6},{2},{3,5},{4},{7}}
[3,1,6,5,4,7,2]=>[7,2,5,4,3,6,1]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}
[3,1,6,5,7,2,4]=>[6,2,7,4,5,1,3]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}
[3,1,6,5,7,4,2]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[3,1,6,7,2,4,5]=>[5,2,7,6,1,4,3]=>{{1,5},{2},{3,7},{4,6}}=>{{1,6},{2},{3,7},{4,5}}=>{{1,5},{2},{3,7},{4,6}}
[3,1,6,7,2,5,4]=>[5,2,7,6,1,4,3]=>{{1,5},{2},{3,7},{4,6}}=>{{1,6},{2},{3,7},{4,5}}=>{{1,5},{2},{3,7},{4,6}}
[3,1,6,7,4,2,5]=>[6,2,7,5,4,1,3]=>{{1,6},{2},{3,7},{4,5}}=>{{1,5},{2},{3,7},{4,6}}=>{{1,6},{2},{3,7},{4,5}}
[3,1,6,7,4,5,2]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[3,1,6,7,5,2,4]=>[6,2,7,5,4,1,3]=>{{1,6},{2},{3,7},{4,5}}=>{{1,5},{2},{3,7},{4,6}}=>{{1,6},{2},{3,7},{4,5}}
[3,1,6,7,5,4,2]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[3,1,7,2,4,5,6]=>[4,2,7,1,5,6,3]=>{{1,4},{2},{3,7},{5},{6}}=>{{1,7},{2},{3,4},{5},{6}}=>{{1,4},{2},{3,7},{5},{6}}
[3,1,7,2,4,6,5]=>[4,2,7,1,5,6,3]=>{{1,4},{2},{3,7},{5},{6}}=>{{1,7},{2},{3,4},{5},{6}}=>{{1,4},{2},{3,7},{5},{6}}
[3,1,7,2,5,4,6]=>[4,2,7,1,6,5,3]=>{{1,4},{2},{3,7},{5,6}}=>{{1,6},{2},{3,4},{5,7}}=>{{1,4},{2},{3,7},{5,6}}
[3,1,7,2,5,6,4]=>[4,2,7,1,6,5,3]=>{{1,4},{2},{3,7},{5,6}}=>{{1,6},{2},{3,4},{5,7}}=>{{1,4},{2},{3,7},{5,6}}
[3,1,7,2,6,4,5]=>[4,2,7,1,6,5,3]=>{{1,4},{2},{3,7},{5,6}}=>{{1,6},{2},{3,4},{5,7}}=>{{1,4},{2},{3,7},{5,6}}
[3,1,7,2,6,5,4]=>[4,2,7,1,6,5,3]=>{{1,4},{2},{3,7},{5,6}}=>{{1,6},{2},{3,4},{5,7}}=>{{1,4},{2},{3,7},{5,6}}
[3,1,7,4,2,5,6]=>[5,2,7,4,1,6,3]=>{{1,5},{2},{3,7},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}
[3,1,7,4,2,6,5]=>[5,2,7,4,1,6,3]=>{{1,5},{2},{3,7},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}
[3,1,7,4,5,2,6]=>[6,2,7,4,5,1,3]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}
[3,1,7,4,5,6,2]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[3,1,7,4,6,2,5]=>[6,2,7,4,5,1,3]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}
[3,1,7,4,6,5,2]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[3,1,7,5,2,4,6]=>[5,2,7,6,1,4,3]=>{{1,5},{2},{3,7},{4,6}}=>{{1,6},{2},{3,7},{4,5}}=>{{1,5},{2},{3,7},{4,6}}
[3,1,7,5,2,6,4]=>[5,2,7,6,1,4,3]=>{{1,5},{2},{3,7},{4,6}}=>{{1,6},{2},{3,7},{4,5}}=>{{1,5},{2},{3,7},{4,6}}
[3,1,7,5,4,2,6]=>[6,2,7,5,4,1,3]=>{{1,6},{2},{3,7},{4,5}}=>{{1,5},{2},{3,7},{4,6}}=>{{1,6},{2},{3,7},{4,5}}
[3,1,7,5,4,6,2]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[3,1,7,5,6,2,4]=>[6,2,7,5,4,1,3]=>{{1,6},{2},{3,7},{4,5}}=>{{1,5},{2},{3,7},{4,6}}=>{{1,6},{2},{3,7},{4,5}}
[3,1,7,5,6,4,2]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[3,1,7,6,2,4,5]=>[5,2,7,6,1,4,3]=>{{1,5},{2},{3,7},{4,6}}=>{{1,6},{2},{3,7},{4,5}}=>{{1,5},{2},{3,7},{4,6}}
[3,1,7,6,2,5,4]=>[5,2,7,6,1,4,3]=>{{1,5},{2},{3,7},{4,6}}=>{{1,6},{2},{3,7},{4,5}}=>{{1,5},{2},{3,7},{4,6}}
[3,1,7,6,4,2,5]=>[6,2,7,5,4,1,3]=>{{1,6},{2},{3,7},{4,5}}=>{{1,5},{2},{3,7},{4,6}}=>{{1,6},{2},{3,7},{4,5}}
[3,1,7,6,4,5,2]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[3,1,7,6,5,2,4]=>[6,2,7,5,4,1,3]=>{{1,6},{2},{3,7},{4,5}}=>{{1,5},{2},{3,7},{4,6}}=>{{1,6},{2},{3,7},{4,5}}
[3,1,7,6,5,4,2]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[3,2,1,4,5,6,7]=>[3,2,1,4,5,6,7]=>{{1,3},{2},{4},{5},{6},{7}}=>{{1,3},{2},{4},{5},{6},{7}}=>{{1,3},{2},{4},{5},{6},{7}}
[3,2,1,4,5,7,6]=>[3,2,1,4,5,7,6]=>{{1,3},{2},{4},{5},{6,7}}=>{{1,3},{2},{4},{5},{6,7}}=>{{1,3},{2},{4},{5},{6,7}}
[3,2,1,4,6,5,7]=>[3,2,1,4,6,5,7]=>{{1,3},{2},{4},{5,6},{7}}=>{{1,3},{2},{4},{5,6},{7}}=>{{1,3},{2},{4},{5,6},{7}}
[3,2,1,4,6,7,5]=>[3,2,1,4,7,6,5]=>{{1,3},{2},{4},{5,7},{6}}=>{{1,3},{2},{4},{5,7},{6}}=>{{1,3},{2},{4},{5,7},{6}}
[3,2,1,4,7,5,6]=>[3,2,1,4,7,6,5]=>{{1,3},{2},{4},{5,7},{6}}=>{{1,3},{2},{4},{5,7},{6}}=>{{1,3},{2},{4},{5,7},{6}}
[3,2,1,4,7,6,5]=>[3,2,1,4,7,6,5]=>{{1,3},{2},{4},{5,7},{6}}=>{{1,3},{2},{4},{5,7},{6}}=>{{1,3},{2},{4},{5,7},{6}}
[3,2,1,5,4,6,7]=>[3,2,1,5,4,6,7]=>{{1,3},{2},{4,5},{6},{7}}=>{{1,3},{2},{4,5},{6},{7}}=>{{1,3},{2},{4,5},{6},{7}}
[3,2,1,5,4,7,6]=>[3,2,1,5,4,7,6]=>{{1,3},{2},{4,5},{6,7}}=>{{1,3},{2},{4,5},{6,7}}=>{{1,3},{2},{4,5},{6,7}}
[3,2,1,5,6,4,7]=>[3,2,1,6,5,4,7]=>{{1,3},{2},{4,6},{5},{7}}=>{{1,3},{2},{4,6},{5},{7}}=>{{1,3},{2},{4,6},{5},{7}}
[3,2,1,5,6,7,4]=>[3,2,1,7,5,6,4]=>{{1,3},{2},{4,7},{5},{6}}=>{{1,3},{2},{4,7},{5},{6}}=>{{1,3},{2},{4,7},{5},{6}}
[3,2,1,5,7,4,6]=>[3,2,1,6,7,4,5]=>{{1,3},{2},{4,6},{5,7}}=>{{1,3},{2},{4,7},{5,6}}=>{{1,3},{2},{4,6},{5,7}}
[3,2,1,5,7,6,4]=>[3,2,1,7,6,5,4]=>{{1,3},{2},{4,7},{5,6}}=>{{1,3},{2},{4,6},{5,7}}=>{{1,3},{2},{4,7},{5,6}}
[3,2,1,6,4,5,7]=>[3,2,1,6,5,4,7]=>{{1,3},{2},{4,6},{5},{7}}=>{{1,3},{2},{4,6},{5},{7}}=>{{1,3},{2},{4,6},{5},{7}}
[3,2,1,6,4,7,5]=>[3,2,1,7,5,6,4]=>{{1,3},{2},{4,7},{5},{6}}=>{{1,3},{2},{4,7},{5},{6}}=>{{1,3},{2},{4,7},{5},{6}}
[3,2,1,6,5,4,7]=>[3,2,1,6,5,4,7]=>{{1,3},{2},{4,6},{5},{7}}=>{{1,3},{2},{4,6},{5},{7}}=>{{1,3},{2},{4,6},{5},{7}}
[3,2,1,6,5,7,4]=>[3,2,1,7,5,6,4]=>{{1,3},{2},{4,7},{5},{6}}=>{{1,3},{2},{4,7},{5},{6}}=>{{1,3},{2},{4,7},{5},{6}}
[3,2,1,6,7,4,5]=>[3,2,1,7,6,5,4]=>{{1,3},{2},{4,7},{5,6}}=>{{1,3},{2},{4,6},{5,7}}=>{{1,3},{2},{4,7},{5,6}}
[3,2,1,6,7,5,4]=>[3,2,1,7,6,5,4]=>{{1,3},{2},{4,7},{5,6}}=>{{1,3},{2},{4,6},{5,7}}=>{{1,3},{2},{4,7},{5,6}}
[3,2,1,7,4,5,6]=>[3,2,1,7,5,6,4]=>{{1,3},{2},{4,7},{5},{6}}=>{{1,3},{2},{4,7},{5},{6}}=>{{1,3},{2},{4,7},{5},{6}}
[3,2,1,7,4,6,5]=>[3,2,1,7,5,6,4]=>{{1,3},{2},{4,7},{5},{6}}=>{{1,3},{2},{4,7},{5},{6}}=>{{1,3},{2},{4,7},{5},{6}}
[3,2,1,7,5,4,6]=>[3,2,1,7,6,5,4]=>{{1,3},{2},{4,7},{5,6}}=>{{1,3},{2},{4,6},{5,7}}=>{{1,3},{2},{4,7},{5,6}}
[3,2,1,7,5,6,4]=>[3,2,1,7,6,5,4]=>{{1,3},{2},{4,7},{5,6}}=>{{1,3},{2},{4,6},{5,7}}=>{{1,3},{2},{4,7},{5,6}}
[3,2,1,7,6,4,5]=>[3,2,1,7,6,5,4]=>{{1,3},{2},{4,7},{5,6}}=>{{1,3},{2},{4,6},{5,7}}=>{{1,3},{2},{4,7},{5,6}}
[3,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>{{1,3},{2},{4,7},{5,6}}=>{{1,3},{2},{4,6},{5,7}}=>{{1,3},{2},{4,7},{5,6}}
[3,2,4,1,5,6,7]=>[4,2,3,1,5,6,7]=>{{1,4},{2},{3},{5},{6},{7}}=>{{1,4},{2},{3},{5},{6},{7}}=>{{1,4},{2},{3},{5},{6},{7}}
[3,2,4,1,5,7,6]=>[4,2,3,1,5,7,6]=>{{1,4},{2},{3},{5},{6,7}}=>{{1,4},{2},{3},{5},{6,7}}=>{{1,4},{2},{3},{5},{6,7}}
[3,2,4,1,6,5,7]=>[4,2,3,1,6,5,7]=>{{1,4},{2},{3},{5,6},{7}}=>{{1,4},{2},{3},{5,6},{7}}=>{{1,4},{2},{3},{5,6},{7}}
[3,2,4,1,6,7,5]=>[4,2,3,1,7,6,5]=>{{1,4},{2},{3},{5,7},{6}}=>{{1,4},{2},{3},{5,7},{6}}=>{{1,4},{2},{3},{5,7},{6}}
[3,2,4,1,7,5,6]=>[4,2,3,1,7,6,5]=>{{1,4},{2},{3},{5,7},{6}}=>{{1,4},{2},{3},{5,7},{6}}=>{{1,4},{2},{3},{5,7},{6}}
[3,2,4,1,7,6,5]=>[4,2,3,1,7,6,5]=>{{1,4},{2},{3},{5,7},{6}}=>{{1,4},{2},{3},{5,7},{6}}=>{{1,4},{2},{3},{5,7},{6}}
[3,2,4,5,1,6,7]=>[5,2,3,4,1,6,7]=>{{1,5},{2},{3},{4},{6},{7}}=>{{1,5},{2},{3},{4},{6},{7}}=>{{1,5},{2},{3},{4},{6},{7}}
[3,2,4,5,1,7,6]=>[5,2,3,4,1,7,6]=>{{1,5},{2},{3},{4},{6,7}}=>{{1,5},{2},{3},{4},{6,7}}=>{{1,5},{2},{3},{4},{6,7}}
[3,2,4,5,6,1,7]=>[6,2,3,4,5,1,7]=>{{1,6},{2},{3},{4},{5},{7}}=>{{1,6},{2},{3},{4},{5},{7}}=>{{1,6},{2},{3},{4},{5},{7}}
[3,2,4,5,6,7,1]=>[7,2,3,4,5,6,1]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5},{6}}
[3,2,4,5,7,1,6]=>[6,2,3,4,7,1,5]=>{{1,6},{2},{3},{4},{5,7}}=>{{1,7},{2},{3},{4},{5,6}}=>{{1,6},{2},{3},{4},{5,7}}
[3,2,4,5,7,6,1]=>[7,2,3,4,6,5,1]=>{{1,7},{2},{3},{4},{5,6}}=>{{1,6},{2},{3},{4},{5,7}}=>{{1,7},{2},{3},{4},{5,6}}
[3,2,4,6,1,5,7]=>[5,2,3,6,1,4,7]=>{{1,5},{2},{3},{4,6},{7}}=>{{1,6},{2},{3},{4,5},{7}}=>{{1,5},{2},{3},{4,6},{7}}
[3,2,4,6,1,7,5]=>[5,2,3,7,1,6,4]=>{{1,5},{2},{3},{4,7},{6}}=>{{1,7},{2},{3},{4,5},{6}}=>{{1,5},{2},{3},{4,7},{6}}
[3,2,4,6,5,1,7]=>[6,2,3,5,4,1,7]=>{{1,6},{2},{3},{4,5},{7}}=>{{1,5},{2},{3},{4,6},{7}}=>{{1,6},{2},{3},{4,5},{7}}
[3,2,4,6,5,7,1]=>[7,2,3,5,4,6,1]=>{{1,7},{2},{3},{4,5},{6}}=>{{1,5},{2},{3},{4,7},{6}}=>{{1,7},{2},{3},{4,5},{6}}
[3,2,4,6,7,1,5]=>[6,2,3,7,5,1,4]=>{{1,6},{2},{3},{4,7},{5}}=>{{1,7},{2},{3},{4,6},{5}}=>{{1,6},{2},{3},{4,7},{5}}
[3,2,4,6,7,5,1]=>[7,2,3,6,5,4,1]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,6},{2},{3},{4,7},{5}}=>{{1,7},{2},{3},{4,6},{5}}
[3,2,4,7,1,5,6]=>[5,2,3,7,1,6,4]=>{{1,5},{2},{3},{4,7},{6}}=>{{1,7},{2},{3},{4,5},{6}}=>{{1,5},{2},{3},{4,7},{6}}
[3,2,4,7,1,6,5]=>[5,2,3,7,1,6,4]=>{{1,5},{2},{3},{4,7},{6}}=>{{1,7},{2},{3},{4,5},{6}}=>{{1,5},{2},{3},{4,7},{6}}
[3,2,4,7,5,1,6]=>[6,2,3,7,5,1,4]=>{{1,6},{2},{3},{4,7},{5}}=>{{1,7},{2},{3},{4,6},{5}}=>{{1,6},{2},{3},{4,7},{5}}
[3,2,4,7,5,6,1]=>[7,2,3,6,5,4,1]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,6},{2},{3},{4,7},{5}}=>{{1,7},{2},{3},{4,6},{5}}
[3,2,4,7,6,1,5]=>[6,2,3,7,5,1,4]=>{{1,6},{2},{3},{4,7},{5}}=>{{1,7},{2},{3},{4,6},{5}}=>{{1,6},{2},{3},{4,7},{5}}
[3,2,4,7,6,5,1]=>[7,2,3,6,5,4,1]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,6},{2},{3},{4,7},{5}}=>{{1,7},{2},{3},{4,6},{5}}
[3,2,5,1,4,6,7]=>[4,2,5,1,3,6,7]=>{{1,4},{2},{3,5},{6},{7}}=>{{1,5},{2},{3,4},{6},{7}}=>{{1,4},{2},{3,5},{6},{7}}
[3,2,5,1,4,7,6]=>[4,2,5,1,3,7,6]=>{{1,4},{2},{3,5},{6,7}}=>{{1,5},{2},{3,4},{6,7}}=>{{1,4},{2},{3,5},{6,7}}
[3,2,5,1,6,4,7]=>[4,2,6,1,5,3,7]=>{{1,4},{2},{3,6},{5},{7}}=>{{1,6},{2},{3,4},{5},{7}}=>{{1,4},{2},{3,6},{5},{7}}
[3,2,5,1,6,7,4]=>[4,2,7,1,5,6,3]=>{{1,4},{2},{3,7},{5},{6}}=>{{1,7},{2},{3,4},{5},{6}}=>{{1,4},{2},{3,7},{5},{6}}
[3,2,5,1,7,4,6]=>[4,2,6,1,7,3,5]=>{{1,4},{2},{3,6},{5,7}}=>{{1,7},{2},{3,4},{5,6}}=>{{1,4},{2},{3,6},{5,7}}
[3,2,5,1,7,6,4]=>[4,2,7,1,6,5,3]=>{{1,4},{2},{3,7},{5,6}}=>{{1,6},{2},{3,4},{5,7}}=>{{1,4},{2},{3,7},{5,6}}
[3,2,5,4,1,6,7]=>[5,2,4,3,1,6,7]=>{{1,5},{2},{3,4},{6},{7}}=>{{1,4},{2},{3,5},{6},{7}}=>{{1,5},{2},{3,4},{6},{7}}
[3,2,5,4,1,7,6]=>[5,2,4,3,1,7,6]=>{{1,5},{2},{3,4},{6,7}}=>{{1,4},{2},{3,5},{6,7}}=>{{1,5},{2},{3,4},{6,7}}
[3,2,5,4,6,1,7]=>[6,2,4,3,5,1,7]=>{{1,6},{2},{3,4},{5},{7}}=>{{1,4},{2},{3,6},{5},{7}}=>{{1,6},{2},{3,4},{5},{7}}
[3,2,5,4,6,7,1]=>[7,2,4,3,5,6,1]=>{{1,7},{2},{3,4},{5},{6}}=>{{1,4},{2},{3,7},{5},{6}}=>{{1,7},{2},{3,4},{5},{6}}
[3,2,5,4,7,1,6]=>[6,2,4,3,7,1,5]=>{{1,6},{2},{3,4},{5,7}}=>{{1,4},{2},{3,7},{5,6}}=>{{1,6},{2},{3,4},{5,7}}
[3,2,5,4,7,6,1]=>[7,2,4,3,6,5,1]=>{{1,7},{2},{3,4},{5,6}}=>{{1,4},{2},{3,6},{5,7}}=>{{1,7},{2},{3,4},{5,6}}
[3,2,5,6,1,4,7]=>[5,2,6,4,1,3,7]=>{{1,5},{2},{3,6},{4},{7}}=>{{1,6},{2},{3,5},{4},{7}}=>{{1,5},{2},{3,6},{4},{7}}
[3,2,5,6,1,7,4]=>[5,2,7,4,1,6,3]=>{{1,5},{2},{3,7},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}
[3,2,5,6,4,1,7]=>[6,2,5,4,3,1,7]=>{{1,6},{2},{3,5},{4},{7}}=>{{1,5},{2},{3,6},{4},{7}}=>{{1,6},{2},{3,5},{4},{7}}
[3,2,5,6,4,7,1]=>[7,2,5,4,3,6,1]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}
[3,2,5,6,7,1,4]=>[6,2,7,4,5,1,3]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}
[3,2,5,6,7,4,1]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[3,2,5,7,1,4,6]=>[5,2,6,7,1,3,4]=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}
[3,2,5,7,1,6,4]=>[5,2,7,6,1,4,3]=>{{1,5},{2},{3,7},{4,6}}=>{{1,6},{2},{3,7},{4,5}}=>{{1,5},{2},{3,7},{4,6}}
[3,2,5,7,4,1,6]=>[6,2,5,7,3,1,4]=>{{1,6},{2},{3,5},{4,7}}=>{{1,7},{2},{3,5},{4,6}}=>{{1,6},{2},{3,5},{4,7}}
[3,2,5,7,4,6,1]=>[7,2,5,6,3,4,1]=>{{1,7},{2},{3,5},{4,6}}=>{{1,6},{2},{3,5},{4,7}}=>{{1,7},{2},{3,5},{4,6}}
[3,2,5,7,6,1,4]=>[6,2,7,5,4,1,3]=>{{1,6},{2},{3,7},{4,5}}=>{{1,5},{2},{3,7},{4,6}}=>{{1,6},{2},{3,7},{4,5}}
[3,2,5,7,6,4,1]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[3,2,6,1,4,5,7]=>[4,2,6,1,5,3,7]=>{{1,4},{2},{3,6},{5},{7}}=>{{1,6},{2},{3,4},{5},{7}}=>{{1,4},{2},{3,6},{5},{7}}
[3,2,6,1,4,7,5]=>[4,2,7,1,5,6,3]=>{{1,4},{2},{3,7},{5},{6}}=>{{1,7},{2},{3,4},{5},{6}}=>{{1,4},{2},{3,7},{5},{6}}
[3,2,6,1,5,4,7]=>[4,2,6,1,5,3,7]=>{{1,4},{2},{3,6},{5},{7}}=>{{1,6},{2},{3,4},{5},{7}}=>{{1,4},{2},{3,6},{5},{7}}
[3,2,6,1,5,7,4]=>[4,2,7,1,5,6,3]=>{{1,4},{2},{3,7},{5},{6}}=>{{1,7},{2},{3,4},{5},{6}}=>{{1,4},{2},{3,7},{5},{6}}
[3,2,6,1,7,4,5]=>[4,2,7,1,6,5,3]=>{{1,4},{2},{3,7},{5,6}}=>{{1,6},{2},{3,4},{5,7}}=>{{1,4},{2},{3,7},{5,6}}
[3,2,6,1,7,5,4]=>[4,2,7,1,6,5,3]=>{{1,4},{2},{3,7},{5,6}}=>{{1,6},{2},{3,4},{5,7}}=>{{1,4},{2},{3,7},{5,6}}
[3,2,6,4,1,5,7]=>[5,2,6,4,1,3,7]=>{{1,5},{2},{3,6},{4},{7}}=>{{1,6},{2},{3,5},{4},{7}}=>{{1,5},{2},{3,6},{4},{7}}
[3,2,6,4,1,7,5]=>[5,2,7,4,1,6,3]=>{{1,5},{2},{3,7},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}
[3,2,6,4,5,1,7]=>[6,2,5,4,3,1,7]=>{{1,6},{2},{3,5},{4},{7}}=>{{1,5},{2},{3,6},{4},{7}}=>{{1,6},{2},{3,5},{4},{7}}
[3,2,6,4,5,7,1]=>[7,2,5,4,3,6,1]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}
[3,2,6,4,7,1,5]=>[6,2,7,4,5,1,3]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}
[3,2,6,4,7,5,1]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[3,2,6,5,1,4,7]=>[5,2,6,4,1,3,7]=>{{1,5},{2},{3,6},{4},{7}}=>{{1,6},{2},{3,5},{4},{7}}=>{{1,5},{2},{3,6},{4},{7}}
[3,2,6,5,1,7,4]=>[5,2,7,4,1,6,3]=>{{1,5},{2},{3,7},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}
[3,2,6,5,4,1,7]=>[6,2,5,4,3,1,7]=>{{1,6},{2},{3,5},{4},{7}}=>{{1,5},{2},{3,6},{4},{7}}=>{{1,6},{2},{3,5},{4},{7}}
[3,2,6,5,4,7,1]=>[7,2,5,4,3,6,1]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}
[3,2,6,5,7,1,4]=>[6,2,7,4,5,1,3]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}
[3,2,6,5,7,4,1]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[3,2,6,7,1,4,5]=>[5,2,7,6,1,4,3]=>{{1,5},{2},{3,7},{4,6}}=>{{1,6},{2},{3,7},{4,5}}=>{{1,5},{2},{3,7},{4,6}}
[3,2,6,7,1,5,4]=>[5,2,7,6,1,4,3]=>{{1,5},{2},{3,7},{4,6}}=>{{1,6},{2},{3,7},{4,5}}=>{{1,5},{2},{3,7},{4,6}}
[3,2,6,7,4,1,5]=>[6,2,7,5,4,1,3]=>{{1,6},{2},{3,7},{4,5}}=>{{1,5},{2},{3,7},{4,6}}=>{{1,6},{2},{3,7},{4,5}}
[3,2,6,7,4,5,1]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[3,2,6,7,5,1,4]=>[6,2,7,5,4,1,3]=>{{1,6},{2},{3,7},{4,5}}=>{{1,5},{2},{3,7},{4,6}}=>{{1,6},{2},{3,7},{4,5}}
[3,2,6,7,5,4,1]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[3,2,7,1,4,5,6]=>[4,2,7,1,5,6,3]=>{{1,4},{2},{3,7},{5},{6}}=>{{1,7},{2},{3,4},{5},{6}}=>{{1,4},{2},{3,7},{5},{6}}
[3,2,7,1,4,6,5]=>[4,2,7,1,5,6,3]=>{{1,4},{2},{3,7},{5},{6}}=>{{1,7},{2},{3,4},{5},{6}}=>{{1,4},{2},{3,7},{5},{6}}
[3,2,7,1,5,4,6]=>[4,2,7,1,6,5,3]=>{{1,4},{2},{3,7},{5,6}}=>{{1,6},{2},{3,4},{5,7}}=>{{1,4},{2},{3,7},{5,6}}
[3,2,7,1,5,6,4]=>[4,2,7,1,6,5,3]=>{{1,4},{2},{3,7},{5,6}}=>{{1,6},{2},{3,4},{5,7}}=>{{1,4},{2},{3,7},{5,6}}
[3,2,7,1,6,4,5]=>[4,2,7,1,6,5,3]=>{{1,4},{2},{3,7},{5,6}}=>{{1,6},{2},{3,4},{5,7}}=>{{1,4},{2},{3,7},{5,6}}
[3,2,7,1,6,5,4]=>[4,2,7,1,6,5,3]=>{{1,4},{2},{3,7},{5,6}}=>{{1,6},{2},{3,4},{5,7}}=>{{1,4},{2},{3,7},{5,6}}
[3,2,7,4,1,5,6]=>[5,2,7,4,1,6,3]=>{{1,5},{2},{3,7},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}
[3,2,7,4,1,6,5]=>[5,2,7,4,1,6,3]=>{{1,5},{2},{3,7},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}
[3,2,7,4,5,1,6]=>[6,2,7,4,5,1,3]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}
[3,2,7,4,5,6,1]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[3,2,7,4,6,1,5]=>[6,2,7,4,5,1,3]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}
[3,2,7,4,6,5,1]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[3,2,7,5,1,4,6]=>[5,2,7,6,1,4,3]=>{{1,5},{2},{3,7},{4,6}}=>{{1,6},{2},{3,7},{4,5}}=>{{1,5},{2},{3,7},{4,6}}
[3,2,7,5,1,6,4]=>[5,2,7,6,1,4,3]=>{{1,5},{2},{3,7},{4,6}}=>{{1,6},{2},{3,7},{4,5}}=>{{1,5},{2},{3,7},{4,6}}
[3,2,7,5,4,1,6]=>[6,2,7,5,4,1,3]=>{{1,6},{2},{3,7},{4,5}}=>{{1,5},{2},{3,7},{4,6}}=>{{1,6},{2},{3,7},{4,5}}
[3,2,7,5,4,6,1]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[3,2,7,5,6,1,4]=>[6,2,7,5,4,1,3]=>{{1,6},{2},{3,7},{4,5}}=>{{1,5},{2},{3,7},{4,6}}=>{{1,6},{2},{3,7},{4,5}}
[3,2,7,5,6,4,1]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[3,2,7,6,1,4,5]=>[5,2,7,6,1,4,3]=>{{1,5},{2},{3,7},{4,6}}=>{{1,6},{2},{3,7},{4,5}}=>{{1,5},{2},{3,7},{4,6}}
[3,2,7,6,1,5,4]=>[5,2,7,6,1,4,3]=>{{1,5},{2},{3,7},{4,6}}=>{{1,6},{2},{3,7},{4,5}}=>{{1,5},{2},{3,7},{4,6}}
[3,2,7,6,4,1,5]=>[6,2,7,5,4,1,3]=>{{1,6},{2},{3,7},{4,5}}=>{{1,5},{2},{3,7},{4,6}}=>{{1,6},{2},{3,7},{4,5}}
[3,2,7,6,4,5,1]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[3,2,7,6,5,1,4]=>[6,2,7,5,4,1,3]=>{{1,6},{2},{3,7},{4,5}}=>{{1,5},{2},{3,7},{4,6}}=>{{1,6},{2},{3,7},{4,5}}
[3,2,7,6,5,4,1]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[3,4,1,2,5,6,7]=>[4,3,2,1,5,6,7]=>{{1,4},{2,3},{5},{6},{7}}=>{{1,3},{2,4},{5},{6},{7}}=>{{1,4},{2,3},{5},{6},{7}}
[3,4,1,2,5,7,6]=>[4,3,2,1,5,7,6]=>{{1,4},{2,3},{5},{6,7}}=>{{1,3},{2,4},{5},{6,7}}=>{{1,4},{2,3},{5},{6,7}}
[3,4,1,2,6,5,7]=>[4,3,2,1,6,5,7]=>{{1,4},{2,3},{5,6},{7}}=>{{1,3},{2,4},{5,6},{7}}=>{{1,4},{2,3},{5,6},{7}}
[3,4,1,2,6,7,5]=>[4,3,2,1,7,6,5]=>{{1,4},{2,3},{5,7},{6}}=>{{1,3},{2,4},{5,7},{6}}=>{{1,4},{2,3},{5,7},{6}}
[3,4,1,2,7,5,6]=>[4,3,2,1,7,6,5]=>{{1,4},{2,3},{5,7},{6}}=>{{1,3},{2,4},{5,7},{6}}=>{{1,4},{2,3},{5,7},{6}}
[3,4,1,2,7,6,5]=>[4,3,2,1,7,6,5]=>{{1,4},{2,3},{5,7},{6}}=>{{1,3},{2,4},{5,7},{6}}=>{{1,4},{2,3},{5,7},{6}}
[3,4,1,5,2,6,7]=>[5,3,2,4,1,6,7]=>{{1,5},{2,3},{4},{6},{7}}=>{{1,3},{2,5},{4},{6},{7}}=>{{1,5},{2,3},{4},{6},{7}}
[3,4,1,5,2,7,6]=>[5,3,2,4,1,7,6]=>{{1,5},{2,3},{4},{6,7}}=>{{1,3},{2,5},{4},{6,7}}=>{{1,5},{2,3},{4},{6,7}}
[3,4,1,5,6,2,7]=>[6,3,2,4,5,1,7]=>{{1,6},{2,3},{4},{5},{7}}=>{{1,3},{2,6},{4},{5},{7}}=>{{1,6},{2,3},{4},{5},{7}}
[3,4,1,5,6,7,2]=>[7,3,2,4,5,6,1]=>{{1,7},{2,3},{4},{5},{6}}=>{{1,3},{2,7},{4},{5},{6}}=>{{1,7},{2,3},{4},{5},{6}}
[3,4,1,5,7,2,6]=>[6,3,2,4,7,1,5]=>{{1,6},{2,3},{4},{5,7}}=>{{1,3},{2,7},{4},{5,6}}=>{{1,6},{2,3},{4},{5,7}}
[3,4,1,5,7,6,2]=>[7,3,2,4,6,5,1]=>{{1,7},{2,3},{4},{5,6}}=>{{1,3},{2,6},{4},{5,7}}=>{{1,7},{2,3},{4},{5,6}}
[3,4,1,6,2,5,7]=>[5,3,2,6,1,4,7]=>{{1,5},{2,3},{4,6},{7}}=>{{1,3},{2,6},{4,5},{7}}=>{{1,5},{2,3},{4,6},{7}}
[3,4,1,6,2,7,5]=>[5,3,2,7,1,6,4]=>{{1,5},{2,3},{4,7},{6}}=>{{1,3},{2,7},{4,5},{6}}=>{{1,5},{2,3},{4,7},{6}}
[3,4,1,6,5,2,7]=>[6,3,2,5,4,1,7]=>{{1,6},{2,3},{4,5},{7}}=>{{1,3},{2,5},{4,6},{7}}=>{{1,6},{2,3},{4,5},{7}}
[3,4,1,6,5,7,2]=>[7,3,2,5,4,6,1]=>{{1,7},{2,3},{4,5},{6}}=>{{1,3},{2,5},{4,7},{6}}=>{{1,7},{2,3},{4,5},{6}}
[3,4,1,6,7,2,5]=>[6,3,2,7,5,1,4]=>{{1,6},{2,3},{4,7},{5}}=>{{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,3},{4,7},{5}}
[3,4,1,6,7,5,2]=>[7,3,2,6,5,4,1]=>{{1,7},{2,3},{4,6},{5}}=>{{1,3},{2,6},{4,7},{5}}=>{{1,7},{2,3},{4,6},{5}}
[3,4,1,7,2,5,6]=>[5,3,2,7,1,6,4]=>{{1,5},{2,3},{4,7},{6}}=>{{1,3},{2,7},{4,5},{6}}=>{{1,5},{2,3},{4,7},{6}}
[3,4,1,7,2,6,5]=>[5,3,2,7,1,6,4]=>{{1,5},{2,3},{4,7},{6}}=>{{1,3},{2,7},{4,5},{6}}=>{{1,5},{2,3},{4,7},{6}}
[3,4,1,7,5,2,6]=>[6,3,2,7,5,1,4]=>{{1,6},{2,3},{4,7},{5}}=>{{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,3},{4,7},{5}}
[3,4,1,7,5,6,2]=>[7,3,2,6,5,4,1]=>{{1,7},{2,3},{4,6},{5}}=>{{1,3},{2,6},{4,7},{5}}=>{{1,7},{2,3},{4,6},{5}}
[3,4,1,7,6,2,5]=>[6,3,2,7,5,1,4]=>{{1,6},{2,3},{4,7},{5}}=>{{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,3},{4,7},{5}}
[3,4,1,7,6,5,2]=>[7,3,2,6,5,4,1]=>{{1,7},{2,3},{4,6},{5}}=>{{1,3},{2,6},{4,7},{5}}=>{{1,7},{2,3},{4,6},{5}}
[3,4,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>{{1,4},{2,3},{5},{6},{7}}=>{{1,3},{2,4},{5},{6},{7}}=>{{1,4},{2,3},{5},{6},{7}}
[3,4,2,1,5,7,6]=>[4,3,2,1,5,7,6]=>{{1,4},{2,3},{5},{6,7}}=>{{1,3},{2,4},{5},{6,7}}=>{{1,4},{2,3},{5},{6,7}}
[3,4,2,1,6,5,7]=>[4,3,2,1,6,5,7]=>{{1,4},{2,3},{5,6},{7}}=>{{1,3},{2,4},{5,6},{7}}=>{{1,4},{2,3},{5,6},{7}}
[3,4,2,1,6,7,5]=>[4,3,2,1,7,6,5]=>{{1,4},{2,3},{5,7},{6}}=>{{1,3},{2,4},{5,7},{6}}=>{{1,4},{2,3},{5,7},{6}}
[3,4,2,1,7,5,6]=>[4,3,2,1,7,6,5]=>{{1,4},{2,3},{5,7},{6}}=>{{1,3},{2,4},{5,7},{6}}=>{{1,4},{2,3},{5,7},{6}}
[3,4,2,1,7,6,5]=>[4,3,2,1,7,6,5]=>{{1,4},{2,3},{5,7},{6}}=>{{1,3},{2,4},{5,7},{6}}=>{{1,4},{2,3},{5,7},{6}}
[3,4,2,5,1,6,7]=>[5,3,2,4,1,6,7]=>{{1,5},{2,3},{4},{6},{7}}=>{{1,3},{2,5},{4},{6},{7}}=>{{1,5},{2,3},{4},{6},{7}}
[3,4,2,5,1,7,6]=>[5,3,2,4,1,7,6]=>{{1,5},{2,3},{4},{6,7}}=>{{1,3},{2,5},{4},{6,7}}=>{{1,5},{2,3},{4},{6,7}}
[3,4,2,5,6,1,7]=>[6,3,2,4,5,1,7]=>{{1,6},{2,3},{4},{5},{7}}=>{{1,3},{2,6},{4},{5},{7}}=>{{1,6},{2,3},{4},{5},{7}}
[3,4,2,5,6,7,1]=>[7,3,2,4,5,6,1]=>{{1,7},{2,3},{4},{5},{6}}=>{{1,3},{2,7},{4},{5},{6}}=>{{1,7},{2,3},{4},{5},{6}}
[3,4,2,5,7,1,6]=>[6,3,2,4,7,1,5]=>{{1,6},{2,3},{4},{5,7}}=>{{1,3},{2,7},{4},{5,6}}=>{{1,6},{2,3},{4},{5,7}}
[3,4,2,5,7,6,1]=>[7,3,2,4,6,5,1]=>{{1,7},{2,3},{4},{5,6}}=>{{1,3},{2,6},{4},{5,7}}=>{{1,7},{2,3},{4},{5,6}}
[3,4,2,6,1,5,7]=>[5,3,2,6,1,4,7]=>{{1,5},{2,3},{4,6},{7}}=>{{1,3},{2,6},{4,5},{7}}=>{{1,5},{2,3},{4,6},{7}}
[3,4,2,6,1,7,5]=>[5,3,2,7,1,6,4]=>{{1,5},{2,3},{4,7},{6}}=>{{1,3},{2,7},{4,5},{6}}=>{{1,5},{2,3},{4,7},{6}}
[3,4,2,6,5,1,7]=>[6,3,2,5,4,1,7]=>{{1,6},{2,3},{4,5},{7}}=>{{1,3},{2,5},{4,6},{7}}=>{{1,6},{2,3},{4,5},{7}}
[3,4,2,6,5,7,1]=>[7,3,2,5,4,6,1]=>{{1,7},{2,3},{4,5},{6}}=>{{1,3},{2,5},{4,7},{6}}=>{{1,7},{2,3},{4,5},{6}}
[3,4,2,6,7,1,5]=>[6,3,2,7,5,1,4]=>{{1,6},{2,3},{4,7},{5}}=>{{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,3},{4,7},{5}}
[3,4,2,6,7,5,1]=>[7,3,2,6,5,4,1]=>{{1,7},{2,3},{4,6},{5}}=>{{1,3},{2,6},{4,7},{5}}=>{{1,7},{2,3},{4,6},{5}}
[3,4,2,7,1,5,6]=>[5,3,2,7,1,6,4]=>{{1,5},{2,3},{4,7},{6}}=>{{1,3},{2,7},{4,5},{6}}=>{{1,5},{2,3},{4,7},{6}}
[3,4,2,7,1,6,5]=>[5,3,2,7,1,6,4]=>{{1,5},{2,3},{4,7},{6}}=>{{1,3},{2,7},{4,5},{6}}=>{{1,5},{2,3},{4,7},{6}}
[3,4,2,7,5,1,6]=>[6,3,2,7,5,1,4]=>{{1,6},{2,3},{4,7},{5}}=>{{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,3},{4,7},{5}}
[3,4,2,7,5,6,1]=>[7,3,2,6,5,4,1]=>{{1,7},{2,3},{4,6},{5}}=>{{1,3},{2,6},{4,7},{5}}=>{{1,7},{2,3},{4,6},{5}}
[3,4,2,7,6,1,5]=>[6,3,2,7,5,1,4]=>{{1,6},{2,3},{4,7},{5}}=>{{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,3},{4,7},{5}}
[3,4,2,7,6,5,1]=>[7,3,2,6,5,4,1]=>{{1,7},{2,3},{4,6},{5}}=>{{1,3},{2,6},{4,7},{5}}=>{{1,7},{2,3},{4,6},{5}}
[3,4,5,1,2,6,7]=>[5,4,3,2,1,6,7]=>{{1,5},{2,4},{3},{6},{7}}=>{{1,4},{2,5},{3},{6},{7}}=>{{1,5},{2,4},{3},{6},{7}}
[3,4,5,1,2,7,6]=>[5,4,3,2,1,7,6]=>{{1,5},{2,4},{3},{6,7}}=>{{1,4},{2,5},{3},{6,7}}=>{{1,5},{2,4},{3},{6,7}}
[3,4,5,1,6,2,7]=>[6,4,3,2,5,1,7]=>{{1,6},{2,4},{3},{5},{7}}=>{{1,4},{2,6},{3},{5},{7}}=>{{1,6},{2,4},{3},{5},{7}}
[3,4,5,1,6,7,2]=>[7,4,3,2,5,6,1]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,4},{2,7},{3},{5},{6}}=>{{1,7},{2,4},{3},{5},{6}}
[3,4,5,1,7,2,6]=>[6,4,3,2,7,1,5]=>{{1,6},{2,4},{3},{5,7}}=>{{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,4},{3},{5,7}}
[3,4,5,1,7,6,2]=>[7,4,3,2,6,5,1]=>{{1,7},{2,4},{3},{5,6}}=>{{1,4},{2,6},{3},{5,7}}=>{{1,7},{2,4},{3},{5,6}}
[3,4,5,2,1,6,7]=>[5,4,3,2,1,6,7]=>{{1,5},{2,4},{3},{6},{7}}=>{{1,4},{2,5},{3},{6},{7}}=>{{1,5},{2,4},{3},{6},{7}}
[3,4,5,2,1,7,6]=>[5,4,3,2,1,7,6]=>{{1,5},{2,4},{3},{6,7}}=>{{1,4},{2,5},{3},{6,7}}=>{{1,5},{2,4},{3},{6,7}}
[3,4,5,2,6,1,7]=>[6,4,3,2,5,1,7]=>{{1,6},{2,4},{3},{5},{7}}=>{{1,4},{2,6},{3},{5},{7}}=>{{1,6},{2,4},{3},{5},{7}}
[3,4,5,2,6,7,1]=>[7,4,3,2,5,6,1]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,4},{2,7},{3},{5},{6}}=>{{1,7},{2,4},{3},{5},{6}}
[3,4,5,2,7,1,6]=>[6,4,3,2,7,1,5]=>{{1,6},{2,4},{3},{5,7}}=>{{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,4},{3},{5,7}}
[3,4,5,2,7,6,1]=>[7,4,3,2,6,5,1]=>{{1,7},{2,4},{3},{5,6}}=>{{1,4},{2,6},{3},{5,7}}=>{{1,7},{2,4},{3},{5,6}}
[3,4,5,6,1,2,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[3,4,5,6,1,7,2]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[3,4,5,6,2,1,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[3,4,5,6,2,7,1]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[3,4,5,6,7,1,2]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[3,4,5,6,7,2,1]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[3,4,5,7,1,2,6]=>[6,5,3,7,2,1,4]=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}
[3,4,5,7,1,6,2]=>[7,5,3,6,2,4,1]=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}
[3,4,5,7,2,1,6]=>[6,5,3,7,2,1,4]=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}
[3,4,5,7,2,6,1]=>[7,5,3,6,2,4,1]=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}
[3,4,5,7,6,1,2]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[3,4,5,7,6,2,1]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[3,4,6,1,2,5,7]=>[5,4,6,2,1,3,7]=>{{1,5},{2,4},{3,6},{7}}=>{{1,6},{2,4},{3,5},{7}}=>{{1,5},{2,4},{3,6},{7}}
[3,4,6,1,2,7,5]=>[5,4,7,2,1,6,3]=>{{1,5},{2,4},{3,7},{6}}=>{{1,7},{2,4},{3,5},{6}}=>{{1,5},{2,4},{3,7},{6}}
[3,4,6,1,5,2,7]=>[6,4,5,2,3,1,7]=>{{1,6},{2,4},{3,5},{7}}=>{{1,5},{2,4},{3,6},{7}}=>{{1,6},{2,4},{3,5},{7}}
[3,4,6,1,5,7,2]=>[7,4,5,2,3,6,1]=>{{1,7},{2,4},{3,5},{6}}=>{{1,5},{2,4},{3,7},{6}}=>{{1,7},{2,4},{3,5},{6}}
[3,4,6,1,7,2,5]=>[6,4,7,2,5,1,3]=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}
[3,4,6,1,7,5,2]=>[7,4,6,2,5,3,1]=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}
[3,4,6,2,1,5,7]=>[5,4,6,2,1,3,7]=>{{1,5},{2,4},{3,6},{7}}=>{{1,6},{2,4},{3,5},{7}}=>{{1,5},{2,4},{3,6},{7}}
[3,4,6,2,1,7,5]=>[5,4,7,2,1,6,3]=>{{1,5},{2,4},{3,7},{6}}=>{{1,7},{2,4},{3,5},{6}}=>{{1,5},{2,4},{3,7},{6}}
[3,4,6,2,5,1,7]=>[6,4,5,2,3,1,7]=>{{1,6},{2,4},{3,5},{7}}=>{{1,5},{2,4},{3,6},{7}}=>{{1,6},{2,4},{3,5},{7}}
[3,4,6,2,5,7,1]=>[7,4,5,2,3,6,1]=>{{1,7},{2,4},{3,5},{6}}=>{{1,5},{2,4},{3,7},{6}}=>{{1,7},{2,4},{3,5},{6}}
[3,4,6,2,7,1,5]=>[6,4,7,2,5,1,3]=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}
[3,4,6,2,7,5,1]=>[7,4,6,2,5,3,1]=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}
[3,4,6,5,1,2,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[3,4,6,5,1,7,2]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[3,4,6,5,2,1,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[3,4,6,5,2,7,1]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[3,4,6,5,7,1,2]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[3,4,6,5,7,2,1]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[3,4,6,7,1,2,5]=>[6,5,7,4,2,1,3]=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
[3,4,6,7,1,5,2]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[3,4,6,7,2,1,5]=>[6,5,7,4,2,1,3]=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
[3,4,6,7,2,5,1]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[3,4,6,7,5,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[3,4,6,7,5,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[3,4,7,1,2,5,6]=>[5,4,7,2,1,6,3]=>{{1,5},{2,4},{3,7},{6}}=>{{1,7},{2,4},{3,5},{6}}=>{{1,5},{2,4},{3,7},{6}}
[3,4,7,1,2,6,5]=>[5,4,7,2,1,6,3]=>{{1,5},{2,4},{3,7},{6}}=>{{1,7},{2,4},{3,5},{6}}=>{{1,5},{2,4},{3,7},{6}}
[3,4,7,1,5,2,6]=>[6,4,7,2,5,1,3]=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}
[3,4,7,1,5,6,2]=>[7,4,6,2,5,3,1]=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}
[3,4,7,1,6,2,5]=>[6,4,7,2,5,1,3]=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}
[3,4,7,1,6,5,2]=>[7,4,6,2,5,3,1]=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}
[3,4,7,2,1,5,6]=>[5,4,7,2,1,6,3]=>{{1,5},{2,4},{3,7},{6}}=>{{1,7},{2,4},{3,5},{6}}=>{{1,5},{2,4},{3,7},{6}}
[3,4,7,2,1,6,5]=>[5,4,7,2,1,6,3]=>{{1,5},{2,4},{3,7},{6}}=>{{1,7},{2,4},{3,5},{6}}=>{{1,5},{2,4},{3,7},{6}}
[3,4,7,2,5,1,6]=>[6,4,7,2,5,1,3]=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}
[3,4,7,2,5,6,1]=>[7,4,6,2,5,3,1]=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}
[3,4,7,2,6,1,5]=>[6,4,7,2,5,1,3]=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}
[3,4,7,2,6,5,1]=>[7,4,6,2,5,3,1]=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}
[3,4,7,5,1,2,6]=>[6,5,7,4,2,1,3]=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
[3,4,7,5,1,6,2]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[3,4,7,5,2,1,6]=>[6,5,7,4,2,1,3]=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
[3,4,7,5,2,6,1]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[3,4,7,5,6,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[3,4,7,5,6,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[3,4,7,6,1,2,5]=>[6,5,7,4,2,1,3]=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
[3,4,7,6,1,5,2]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[3,4,7,6,2,1,5]=>[6,5,7,4,2,1,3]=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
[3,4,7,6,2,5,1]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[3,4,7,6,5,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[3,4,7,6,5,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[3,5,1,2,4,6,7]=>[4,5,3,1,2,6,7]=>{{1,4},{2,5},{3},{6},{7}}=>{{1,5},{2,4},{3},{6},{7}}=>{{1,4},{2,5},{3},{6},{7}}
[3,5,1,2,4,7,6]=>[4,5,3,1,2,7,6]=>{{1,4},{2,5},{3},{6,7}}=>{{1,5},{2,4},{3},{6,7}}=>{{1,4},{2,5},{3},{6,7}}
[3,5,1,2,6,4,7]=>[4,6,3,1,5,2,7]=>{{1,4},{2,6},{3},{5},{7}}=>{{1,6},{2,4},{3},{5},{7}}=>{{1,4},{2,6},{3},{5},{7}}
[3,5,1,2,6,7,4]=>[4,7,3,1,5,6,2]=>{{1,4},{2,7},{3},{5},{6}}=>{{1,7},{2,4},{3},{5},{6}}=>{{1,4},{2,7},{3},{5},{6}}
[3,5,1,2,7,4,6]=>[4,6,3,1,7,2,5]=>{{1,4},{2,6},{3},{5,7}}=>{{1,7},{2,4},{3},{5,6}}=>{{1,4},{2,6},{3},{5,7}}
[3,5,1,2,7,6,4]=>[4,7,3,1,6,5,2]=>{{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,4},{3},{5,7}}=>{{1,4},{2,7},{3},{5,6}}
[3,5,1,4,2,6,7]=>[5,4,3,2,1,6,7]=>{{1,5},{2,4},{3},{6},{7}}=>{{1,4},{2,5},{3},{6},{7}}=>{{1,5},{2,4},{3},{6},{7}}
[3,5,1,4,2,7,6]=>[5,4,3,2,1,7,6]=>{{1,5},{2,4},{3},{6,7}}=>{{1,4},{2,5},{3},{6,7}}=>{{1,5},{2,4},{3},{6,7}}
[3,5,1,4,6,2,7]=>[6,4,3,2,5,1,7]=>{{1,6},{2,4},{3},{5},{7}}=>{{1,4},{2,6},{3},{5},{7}}=>{{1,6},{2,4},{3},{5},{7}}
[3,5,1,4,6,7,2]=>[7,4,3,2,5,6,1]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,4},{2,7},{3},{5},{6}}=>{{1,7},{2,4},{3},{5},{6}}
[3,5,1,4,7,2,6]=>[6,4,3,2,7,1,5]=>{{1,6},{2,4},{3},{5,7}}=>{{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,4},{3},{5,7}}
[3,5,1,4,7,6,2]=>[7,4,3,2,6,5,1]=>{{1,7},{2,4},{3},{5,6}}=>{{1,4},{2,6},{3},{5,7}}=>{{1,7},{2,4},{3},{5,6}}
[3,5,1,6,2,4,7]=>[5,6,3,4,1,2,7]=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}
[3,5,1,6,2,7,4]=>[5,7,3,4,1,6,2]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}
[3,5,1,6,4,2,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[3,5,1,6,4,7,2]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[3,5,1,6,7,2,4]=>[6,7,3,4,5,1,2]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[3,5,1,6,7,4,2]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[3,5,1,7,2,4,6]=>[5,6,3,7,1,2,4]=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}
[3,5,1,7,2,6,4]=>[5,7,3,6,1,4,2]=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,7},{3},{4,5}}=>{{1,5},{2,7},{3},{4,6}}
[3,5,1,7,4,2,6]=>[6,5,3,7,2,1,4]=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}
[3,5,1,7,4,6,2]=>[7,5,3,6,2,4,1]=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}
[3,5,1,7,6,2,4]=>[6,7,3,5,4,1,2]=>{{1,6},{2,7},{3},{4,5}}=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,7},{3},{4,5}}
[3,5,1,7,6,4,2]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[3,5,2,1,4,6,7]=>[4,5,3,1,2,6,7]=>{{1,4},{2,5},{3},{6},{7}}=>{{1,5},{2,4},{3},{6},{7}}=>{{1,4},{2,5},{3},{6},{7}}
[3,5,2,1,4,7,6]=>[4,5,3,1,2,7,6]=>{{1,4},{2,5},{3},{6,7}}=>{{1,5},{2,4},{3},{6,7}}=>{{1,4},{2,5},{3},{6,7}}
[3,5,2,1,6,4,7]=>[4,6,3,1,5,2,7]=>{{1,4},{2,6},{3},{5},{7}}=>{{1,6},{2,4},{3},{5},{7}}=>{{1,4},{2,6},{3},{5},{7}}
[3,5,2,1,6,7,4]=>[4,7,3,1,5,6,2]=>{{1,4},{2,7},{3},{5},{6}}=>{{1,7},{2,4},{3},{5},{6}}=>{{1,4},{2,7},{3},{5},{6}}
[3,5,2,1,7,4,6]=>[4,6,3,1,7,2,5]=>{{1,4},{2,6},{3},{5,7}}=>{{1,7},{2,4},{3},{5,6}}=>{{1,4},{2,6},{3},{5,7}}
[3,5,2,1,7,6,4]=>[4,7,3,1,6,5,2]=>{{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,4},{3},{5,7}}=>{{1,4},{2,7},{3},{5,6}}
[3,5,2,4,1,6,7]=>[5,4,3,2,1,6,7]=>{{1,5},{2,4},{3},{6},{7}}=>{{1,4},{2,5},{3},{6},{7}}=>{{1,5},{2,4},{3},{6},{7}}
[3,5,2,4,1,7,6]=>[5,4,3,2,1,7,6]=>{{1,5},{2,4},{3},{6,7}}=>{{1,4},{2,5},{3},{6,7}}=>{{1,5},{2,4},{3},{6,7}}
[3,5,2,4,6,1,7]=>[6,4,3,2,5,1,7]=>{{1,6},{2,4},{3},{5},{7}}=>{{1,4},{2,6},{3},{5},{7}}=>{{1,6},{2,4},{3},{5},{7}}
[3,5,2,4,6,7,1]=>[7,4,3,2,5,6,1]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,4},{2,7},{3},{5},{6}}=>{{1,7},{2,4},{3},{5},{6}}
[3,5,2,4,7,1,6]=>[6,4,3,2,7,1,5]=>{{1,6},{2,4},{3},{5,7}}=>{{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,4},{3},{5,7}}
[3,5,2,4,7,6,1]=>[7,4,3,2,6,5,1]=>{{1,7},{2,4},{3},{5,6}}=>{{1,4},{2,6},{3},{5,7}}=>{{1,7},{2,4},{3},{5,6}}
[3,5,2,6,1,4,7]=>[5,6,3,4,1,2,7]=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}
[3,5,2,6,1,7,4]=>[5,7,3,4,1,6,2]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}
[3,5,2,6,4,1,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[3,5,2,6,4,7,1]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[3,5,2,6,7,1,4]=>[6,7,3,4,5,1,2]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[3,5,2,6,7,4,1]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[3,5,2,7,1,4,6]=>[5,6,3,7,1,2,4]=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}
[3,5,2,7,1,6,4]=>[5,7,3,6,1,4,2]=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,7},{3},{4,5}}=>{{1,5},{2,7},{3},{4,6}}
[3,5,2,7,4,1,6]=>[6,5,3,7,2,1,4]=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}
[3,5,2,7,4,6,1]=>[7,5,3,6,2,4,1]=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}
[3,5,2,7,6,1,4]=>[6,7,3,5,4,1,2]=>{{1,6},{2,7},{3},{4,5}}=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,7},{3},{4,5}}
[3,5,2,7,6,4,1]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[3,5,4,1,2,6,7]=>[5,4,3,2,1,6,7]=>{{1,5},{2,4},{3},{6},{7}}=>{{1,4},{2,5},{3},{6},{7}}=>{{1,5},{2,4},{3},{6},{7}}
[3,5,4,1,2,7,6]=>[5,4,3,2,1,7,6]=>{{1,5},{2,4},{3},{6,7}}=>{{1,4},{2,5},{3},{6,7}}=>{{1,5},{2,4},{3},{6,7}}
[3,5,4,1,6,2,7]=>[6,4,3,2,5,1,7]=>{{1,6},{2,4},{3},{5},{7}}=>{{1,4},{2,6},{3},{5},{7}}=>{{1,6},{2,4},{3},{5},{7}}
[3,5,4,1,6,7,2]=>[7,4,3,2,5,6,1]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,4},{2,7},{3},{5},{6}}=>{{1,7},{2,4},{3},{5},{6}}
[3,5,4,1,7,2,6]=>[6,4,3,2,7,1,5]=>{{1,6},{2,4},{3},{5,7}}=>{{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,4},{3},{5,7}}
[3,5,4,1,7,6,2]=>[7,4,3,2,6,5,1]=>{{1,7},{2,4},{3},{5,6}}=>{{1,4},{2,6},{3},{5,7}}=>{{1,7},{2,4},{3},{5,6}}
[3,5,4,2,1,6,7]=>[5,4,3,2,1,6,7]=>{{1,5},{2,4},{3},{6},{7}}=>{{1,4},{2,5},{3},{6},{7}}=>{{1,5},{2,4},{3},{6},{7}}
[3,5,4,2,1,7,6]=>[5,4,3,2,1,7,6]=>{{1,5},{2,4},{3},{6,7}}=>{{1,4},{2,5},{3},{6,7}}=>{{1,5},{2,4},{3},{6,7}}
[3,5,4,2,6,1,7]=>[6,4,3,2,5,1,7]=>{{1,6},{2,4},{3},{5},{7}}=>{{1,4},{2,6},{3},{5},{7}}=>{{1,6},{2,4},{3},{5},{7}}
[3,5,4,2,6,7,1]=>[7,4,3,2,5,6,1]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,4},{2,7},{3},{5},{6}}=>{{1,7},{2,4},{3},{5},{6}}
[3,5,4,2,7,1,6]=>[6,4,3,2,7,1,5]=>{{1,6},{2,4},{3},{5,7}}=>{{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,4},{3},{5,7}}
[3,5,4,2,7,6,1]=>[7,4,3,2,6,5,1]=>{{1,7},{2,4},{3},{5,6}}=>{{1,4},{2,6},{3},{5,7}}=>{{1,7},{2,4},{3},{5,6}}
[3,5,4,6,1,2,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[3,5,4,6,1,7,2]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[3,5,4,6,2,1,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[3,5,4,6,2,7,1]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[3,5,4,6,7,1,2]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[3,5,4,6,7,2,1]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[3,5,4,7,1,2,6]=>[6,5,3,7,2,1,4]=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}
[3,5,4,7,1,6,2]=>[7,5,3,6,2,4,1]=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}
[3,5,4,7,2,1,6]=>[6,5,3,7,2,1,4]=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}
[3,5,4,7,2,6,1]=>[7,5,3,6,2,4,1]=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}
[3,5,4,7,6,1,2]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[3,5,4,7,6,2,1]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[3,5,6,1,2,4,7]=>[5,6,4,3,1,2,7]=>{{1,5},{2,6},{3,4},{7}}=>{{1,4},{2,6},{3,5},{7}}=>{{1,5},{2,6},{3,4},{7}}
[3,5,6,1,2,7,4]=>[5,7,4,3,1,6,2]=>{{1,5},{2,7},{3,4},{6}}=>{{1,4},{2,7},{3,5},{6}}=>{{1,5},{2,7},{3,4},{6}}
[3,5,6,1,4,2,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[3,5,6,1,4,7,2]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[3,5,6,1,7,2,4]=>[6,7,4,3,5,1,2]=>{{1,6},{2,7},{3,4},{5}}=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,7},{3,4},{5}}
[3,5,6,1,7,4,2]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[3,5,6,2,1,4,7]=>[5,6,4,3,1,2,7]=>{{1,5},{2,6},{3,4},{7}}=>{{1,4},{2,6},{3,5},{7}}=>{{1,5},{2,6},{3,4},{7}}
[3,5,6,2,1,7,4]=>[5,7,4,3,1,6,2]=>{{1,5},{2,7},{3,4},{6}}=>{{1,4},{2,7},{3,5},{6}}=>{{1,5},{2,7},{3,4},{6}}
[3,5,6,2,4,1,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[3,5,6,2,4,7,1]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[3,5,6,2,7,1,4]=>[6,7,4,3,5,1,2]=>{{1,6},{2,7},{3,4},{5}}=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,7},{3,4},{5}}
[3,5,6,2,7,4,1]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[3,5,6,4,1,2,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[3,5,6,4,1,7,2]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[3,5,6,4,2,1,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[3,5,6,4,2,7,1]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[3,5,6,4,7,1,2]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[3,5,6,4,7,2,1]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[3,5,6,7,1,2,4]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[3,5,6,7,1,4,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[3,5,6,7,2,1,4]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[3,5,6,7,2,4,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[3,5,6,7,4,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[3,5,6,7,4,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[3,5,7,1,2,4,6]=>[5,6,7,4,1,2,3]=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}
[3,5,7,1,2,6,4]=>[5,7,6,4,1,3,2]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}
[3,5,7,1,4,2,6]=>[6,5,7,4,2,1,3]=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
[3,5,7,1,4,6,2]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[3,5,7,1,6,2,4]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[3,5,7,1,6,4,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[3,5,7,2,1,4,6]=>[5,6,7,4,1,2,3]=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}
[3,5,7,2,1,6,4]=>[5,7,6,4,1,3,2]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}
[3,5,7,2,4,1,6]=>[6,5,7,4,2,1,3]=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
[3,5,7,2,4,6,1]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[3,5,7,2,6,1,4]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[3,5,7,2,6,4,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[3,5,7,4,1,2,6]=>[6,5,7,4,2,1,3]=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
[3,5,7,4,1,6,2]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[3,5,7,4,2,1,6]=>[6,5,7,4,2,1,3]=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
[3,5,7,4,2,6,1]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[3,5,7,4,6,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[3,5,7,4,6,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[3,5,7,6,1,2,4]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[3,5,7,6,1,4,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[3,5,7,6,2,1,4]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[3,5,7,6,2,4,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[3,5,7,6,4,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[3,5,7,6,4,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[3,6,1,2,4,5,7]=>[4,6,3,1,5,2,7]=>{{1,4},{2,6},{3},{5},{7}}=>{{1,6},{2,4},{3},{5},{7}}=>{{1,4},{2,6},{3},{5},{7}}
[3,6,1,2,4,7,5]=>[4,7,3,1,5,6,2]=>{{1,4},{2,7},{3},{5},{6}}=>{{1,7},{2,4},{3},{5},{6}}=>{{1,4},{2,7},{3},{5},{6}}
[3,6,1,2,5,4,7]=>[4,6,3,1,5,2,7]=>{{1,4},{2,6},{3},{5},{7}}=>{{1,6},{2,4},{3},{5},{7}}=>{{1,4},{2,6},{3},{5},{7}}
[3,6,1,2,5,7,4]=>[4,7,3,1,5,6,2]=>{{1,4},{2,7},{3},{5},{6}}=>{{1,7},{2,4},{3},{5},{6}}=>{{1,4},{2,7},{3},{5},{6}}
[3,6,1,2,7,4,5]=>[4,7,3,1,6,5,2]=>{{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,4},{3},{5,7}}=>{{1,4},{2,7},{3},{5,6}}
[3,6,1,2,7,5,4]=>[4,7,3,1,6,5,2]=>{{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,4},{3},{5,7}}=>{{1,4},{2,7},{3},{5,6}}
[3,6,1,4,2,5,7]=>[5,6,3,4,1,2,7]=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}
[3,6,1,4,2,7,5]=>[5,7,3,4,1,6,2]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}
[3,6,1,4,5,2,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[3,6,1,4,5,7,2]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[3,6,1,4,7,2,5]=>[6,7,3,4,5,1,2]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[3,6,1,4,7,5,2]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[3,6,1,5,2,4,7]=>[5,6,3,4,1,2,7]=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}
[3,6,1,5,2,7,4]=>[5,7,3,4,1,6,2]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}
[3,6,1,5,4,2,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[3,6,1,5,4,7,2]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[3,6,1,5,7,2,4]=>[6,7,3,4,5,1,2]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[3,6,1,5,7,4,2]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[3,6,1,7,2,4,5]=>[5,7,3,6,1,4,2]=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,7},{3},{4,5}}=>{{1,5},{2,7},{3},{4,6}}
[3,6,1,7,2,5,4]=>[5,7,3,6,1,4,2]=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,7},{3},{4,5}}=>{{1,5},{2,7},{3},{4,6}}
[3,6,1,7,4,2,5]=>[6,7,3,5,4,1,2]=>{{1,6},{2,7},{3},{4,5}}=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,7},{3},{4,5}}
[3,6,1,7,4,5,2]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[3,6,1,7,5,2,4]=>[6,7,3,5,4,1,2]=>{{1,6},{2,7},{3},{4,5}}=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,7},{3},{4,5}}
[3,6,1,7,5,4,2]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[3,6,2,1,4,5,7]=>[4,6,3,1,5,2,7]=>{{1,4},{2,6},{3},{5},{7}}=>{{1,6},{2,4},{3},{5},{7}}=>{{1,4},{2,6},{3},{5},{7}}
[3,6,2,1,4,7,5]=>[4,7,3,1,5,6,2]=>{{1,4},{2,7},{3},{5},{6}}=>{{1,7},{2,4},{3},{5},{6}}=>{{1,4},{2,7},{3},{5},{6}}
[3,6,2,1,5,4,7]=>[4,6,3,1,5,2,7]=>{{1,4},{2,6},{3},{5},{7}}=>{{1,6},{2,4},{3},{5},{7}}=>{{1,4},{2,6},{3},{5},{7}}
[3,6,2,1,5,7,4]=>[4,7,3,1,5,6,2]=>{{1,4},{2,7},{3},{5},{6}}=>{{1,7},{2,4},{3},{5},{6}}=>{{1,4},{2,7},{3},{5},{6}}
[3,6,2,1,7,4,5]=>[4,7,3,1,6,5,2]=>{{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,4},{3},{5,7}}=>{{1,4},{2,7},{3},{5,6}}
[3,6,2,1,7,5,4]=>[4,7,3,1,6,5,2]=>{{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,4},{3},{5,7}}=>{{1,4},{2,7},{3},{5,6}}
[3,6,2,4,1,5,7]=>[5,6,3,4,1,2,7]=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}
[3,6,2,4,1,7,5]=>[5,7,3,4,1,6,2]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}
[3,6,2,4,5,1,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[3,6,2,4,5,7,1]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[3,6,2,4,7,1,5]=>[6,7,3,4,5,1,2]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[3,6,2,4,7,5,1]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[3,6,2,5,1,4,7]=>[5,6,3,4,1,2,7]=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}
[3,6,2,5,1,7,4]=>[5,7,3,4,1,6,2]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}
[3,6,2,5,4,1,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[3,6,2,5,4,7,1]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[3,6,2,5,7,1,4]=>[6,7,3,4,5,1,2]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[3,6,2,5,7,4,1]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[3,6,2,7,1,4,5]=>[5,7,3,6,1,4,2]=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,7},{3},{4,5}}=>{{1,5},{2,7},{3},{4,6}}
[3,6,2,7,1,5,4]=>[5,7,3,6,1,4,2]=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,7},{3},{4,5}}=>{{1,5},{2,7},{3},{4,6}}
[3,6,2,7,4,1,5]=>[6,7,3,5,4,1,2]=>{{1,6},{2,7},{3},{4,5}}=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,7},{3},{4,5}}
[3,6,2,7,4,5,1]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[3,6,2,7,5,1,4]=>[6,7,3,5,4,1,2]=>{{1,6},{2,7},{3},{4,5}}=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,7},{3},{4,5}}
[3,6,2,7,5,4,1]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[3,6,4,1,2,5,7]=>[5,6,4,3,1,2,7]=>{{1,5},{2,6},{3,4},{7}}=>{{1,4},{2,6},{3,5},{7}}=>{{1,5},{2,6},{3,4},{7}}
[3,6,4,1,2,7,5]=>[5,7,4,3,1,6,2]=>{{1,5},{2,7},{3,4},{6}}=>{{1,4},{2,7},{3,5},{6}}=>{{1,5},{2,7},{3,4},{6}}
[3,6,4,1,5,2,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[3,6,4,1,5,7,2]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[3,6,4,1,7,2,5]=>[6,7,4,3,5,1,2]=>{{1,6},{2,7},{3,4},{5}}=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,7},{3,4},{5}}
[3,6,4,1,7,5,2]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[3,6,4,2,1,5,7]=>[5,6,4,3,1,2,7]=>{{1,5},{2,6},{3,4},{7}}=>{{1,4},{2,6},{3,5},{7}}=>{{1,5},{2,6},{3,4},{7}}
[3,6,4,2,1,7,5]=>[5,7,4,3,1,6,2]=>{{1,5},{2,7},{3,4},{6}}=>{{1,4},{2,7},{3,5},{6}}=>{{1,5},{2,7},{3,4},{6}}
[3,6,4,2,5,1,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[3,6,4,2,5,7,1]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[3,6,4,2,7,1,5]=>[6,7,4,3,5,1,2]=>{{1,6},{2,7},{3,4},{5}}=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,7},{3,4},{5}}
[3,6,4,2,7,5,1]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[3,6,4,5,1,2,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[3,6,4,5,1,7,2]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[3,6,4,5,2,1,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[3,6,4,5,2,7,1]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[3,6,4,5,7,1,2]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[3,6,4,5,7,2,1]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[3,6,4,7,1,2,5]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[3,6,4,7,1,5,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[3,6,4,7,2,1,5]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[3,6,4,7,2,5,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[3,6,4,7,5,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[3,6,4,7,5,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[3,6,5,1,2,4,7]=>[5,6,4,3,1,2,7]=>{{1,5},{2,6},{3,4},{7}}=>{{1,4},{2,6},{3,5},{7}}=>{{1,5},{2,6},{3,4},{7}}
[3,6,5,1,2,7,4]=>[5,7,4,3,1,6,2]=>{{1,5},{2,7},{3,4},{6}}=>{{1,4},{2,7},{3,5},{6}}=>{{1,5},{2,7},{3,4},{6}}
[3,6,5,1,4,2,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[3,6,5,1,4,7,2]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[3,6,5,1,7,2,4]=>[6,7,4,3,5,1,2]=>{{1,6},{2,7},{3,4},{5}}=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,7},{3,4},{5}}
[3,6,5,1,7,4,2]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[3,6,5,2,1,4,7]=>[5,6,4,3,1,2,7]=>{{1,5},{2,6},{3,4},{7}}=>{{1,4},{2,6},{3,5},{7}}=>{{1,5},{2,6},{3,4},{7}}
[3,6,5,2,1,7,4]=>[5,7,4,3,1,6,2]=>{{1,5},{2,7},{3,4},{6}}=>{{1,4},{2,7},{3,5},{6}}=>{{1,5},{2,7},{3,4},{6}}
[3,6,5,2,4,1,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[3,6,5,2,4,7,1]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[3,6,5,2,7,1,4]=>[6,7,4,3,5,1,2]=>{{1,6},{2,7},{3,4},{5}}=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,7},{3,4},{5}}
[3,6,5,2,7,4,1]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[3,6,5,4,1,2,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[3,6,5,4,1,7,2]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[3,6,5,4,2,1,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[3,6,5,4,2,7,1]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[3,6,5,4,7,1,2]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[3,6,5,4,7,2,1]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[3,6,5,7,1,2,4]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[3,6,5,7,1,4,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[3,6,5,7,2,1,4]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[3,6,5,7,2,4,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[3,6,5,7,4,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[3,6,5,7,4,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[3,6,7,1,2,4,5]=>[5,7,6,4,1,3,2]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}
[3,6,7,1,2,5,4]=>[5,7,6,4,1,3,2]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}
[3,6,7,1,4,2,5]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[3,6,7,1,4,5,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[3,6,7,1,5,2,4]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[3,6,7,1,5,4,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[3,6,7,2,1,4,5]=>[5,7,6,4,1,3,2]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}
[3,6,7,2,1,5,4]=>[5,7,6,4,1,3,2]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}
[3,6,7,2,4,1,5]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[3,6,7,2,4,5,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[3,6,7,2,5,1,4]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[3,6,7,2,5,4,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[3,6,7,4,1,2,5]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[3,6,7,4,1,5,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[3,6,7,4,2,1,5]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[3,6,7,4,2,5,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[3,6,7,4,5,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[3,6,7,4,5,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[3,6,7,5,1,2,4]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[3,6,7,5,1,4,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[3,6,7,5,2,1,4]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[3,6,7,5,2,4,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[3,6,7,5,4,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[3,6,7,5,4,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[3,7,1,2,4,5,6]=>[4,7,3,1,5,6,2]=>{{1,4},{2,7},{3},{5},{6}}=>{{1,7},{2,4},{3},{5},{6}}=>{{1,4},{2,7},{3},{5},{6}}
[3,7,1,2,4,6,5]=>[4,7,3,1,5,6,2]=>{{1,4},{2,7},{3},{5},{6}}=>{{1,7},{2,4},{3},{5},{6}}=>{{1,4},{2,7},{3},{5},{6}}
[3,7,1,2,5,4,6]=>[4,7,3,1,6,5,2]=>{{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,4},{3},{5,7}}=>{{1,4},{2,7},{3},{5,6}}
[3,7,1,2,5,6,4]=>[4,7,3,1,6,5,2]=>{{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,4},{3},{5,7}}=>{{1,4},{2,7},{3},{5,6}}
[3,7,1,2,6,4,5]=>[4,7,3,1,6,5,2]=>{{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,4},{3},{5,7}}=>{{1,4},{2,7},{3},{5,6}}
[3,7,1,2,6,5,4]=>[4,7,3,1,6,5,2]=>{{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,4},{3},{5,7}}=>{{1,4},{2,7},{3},{5,6}}
[3,7,1,4,2,5,6]=>[5,7,3,4,1,6,2]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}
[3,7,1,4,2,6,5]=>[5,7,3,4,1,6,2]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}
[3,7,1,4,5,2,6]=>[6,7,3,4,5,1,2]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[3,7,1,4,5,6,2]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[3,7,1,4,6,2,5]=>[6,7,3,4,5,1,2]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[3,7,1,4,6,5,2]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[3,7,1,5,2,4,6]=>[5,7,3,6,1,4,2]=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,7},{3},{4,5}}=>{{1,5},{2,7},{3},{4,6}}
[3,7,1,5,2,6,4]=>[5,7,3,6,1,4,2]=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,7},{3},{4,5}}=>{{1,5},{2,7},{3},{4,6}}
[3,7,1,5,4,2,6]=>[6,7,3,5,4,1,2]=>{{1,6},{2,7},{3},{4,5}}=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,7},{3},{4,5}}
[3,7,1,5,4,6,2]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[3,7,1,5,6,2,4]=>[6,7,3,5,4,1,2]=>{{1,6},{2,7},{3},{4,5}}=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,7},{3},{4,5}}
[3,7,1,5,6,4,2]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[3,7,1,6,2,4,5]=>[5,7,3,6,1,4,2]=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,7},{3},{4,5}}=>{{1,5},{2,7},{3},{4,6}}
[3,7,1,6,2,5,4]=>[5,7,3,6,1,4,2]=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,7},{3},{4,5}}=>{{1,5},{2,7},{3},{4,6}}
[3,7,1,6,4,2,5]=>[6,7,3,5,4,1,2]=>{{1,6},{2,7},{3},{4,5}}=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,7},{3},{4,5}}
[3,7,1,6,4,5,2]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[3,7,1,6,5,2,4]=>[6,7,3,5,4,1,2]=>{{1,6},{2,7},{3},{4,5}}=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,7},{3},{4,5}}
[3,7,1,6,5,4,2]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[3,7,2,1,4,5,6]=>[4,7,3,1,5,6,2]=>{{1,4},{2,7},{3},{5},{6}}=>{{1,7},{2,4},{3},{5},{6}}=>{{1,4},{2,7},{3},{5},{6}}
[3,7,2,1,4,6,5]=>[4,7,3,1,5,6,2]=>{{1,4},{2,7},{3},{5},{6}}=>{{1,7},{2,4},{3},{5},{6}}=>{{1,4},{2,7},{3},{5},{6}}
[3,7,2,1,5,4,6]=>[4,7,3,1,6,5,2]=>{{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,4},{3},{5,7}}=>{{1,4},{2,7},{3},{5,6}}
[3,7,2,1,5,6,4]=>[4,7,3,1,6,5,2]=>{{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,4},{3},{5,7}}=>{{1,4},{2,7},{3},{5,6}}
[3,7,2,1,6,4,5]=>[4,7,3,1,6,5,2]=>{{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,4},{3},{5,7}}=>{{1,4},{2,7},{3},{5,6}}
[3,7,2,1,6,5,4]=>[4,7,3,1,6,5,2]=>{{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,4},{3},{5,7}}=>{{1,4},{2,7},{3},{5,6}}
[3,7,2,4,1,5,6]=>[5,7,3,4,1,6,2]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}
[3,7,2,4,1,6,5]=>[5,7,3,4,1,6,2]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}
[3,7,2,4,5,1,6]=>[6,7,3,4,5,1,2]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[3,7,2,4,5,6,1]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[3,7,2,4,6,1,5]=>[6,7,3,4,5,1,2]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[3,7,2,4,6,5,1]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[3,7,2,5,1,4,6]=>[5,7,3,6,1,4,2]=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,7},{3},{4,5}}=>{{1,5},{2,7},{3},{4,6}}
[3,7,2,5,1,6,4]=>[5,7,3,6,1,4,2]=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,7},{3},{4,5}}=>{{1,5},{2,7},{3},{4,6}}
[3,7,2,5,4,1,6]=>[6,7,3,5,4,1,2]=>{{1,6},{2,7},{3},{4,5}}=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,7},{3},{4,5}}
[3,7,2,5,4,6,1]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[3,7,2,5,6,1,4]=>[6,7,3,5,4,1,2]=>{{1,6},{2,7},{3},{4,5}}=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,7},{3},{4,5}}
[3,7,2,5,6,4,1]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[3,7,2,6,1,4,5]=>[5,7,3,6,1,4,2]=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,7},{3},{4,5}}=>{{1,5},{2,7},{3},{4,6}}
[3,7,2,6,1,5,4]=>[5,7,3,6,1,4,2]=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,7},{3},{4,5}}=>{{1,5},{2,7},{3},{4,6}}
[3,7,2,6,4,1,5]=>[6,7,3,5,4,1,2]=>{{1,6},{2,7},{3},{4,5}}=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,7},{3},{4,5}}
[3,7,2,6,4,5,1]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[3,7,2,6,5,1,4]=>[6,7,3,5,4,1,2]=>{{1,6},{2,7},{3},{4,5}}=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,7},{3},{4,5}}
[3,7,2,6,5,4,1]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[3,7,4,1,2,5,6]=>[5,7,4,3,1,6,2]=>{{1,5},{2,7},{3,4},{6}}=>{{1,4},{2,7},{3,5},{6}}=>{{1,5},{2,7},{3,4},{6}}
[3,7,4,1,2,6,5]=>[5,7,4,3,1,6,2]=>{{1,5},{2,7},{3,4},{6}}=>{{1,4},{2,7},{3,5},{6}}=>{{1,5},{2,7},{3,4},{6}}
[3,7,4,1,5,2,6]=>[6,7,4,3,5,1,2]=>{{1,6},{2,7},{3,4},{5}}=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,7},{3,4},{5}}
[3,7,4,1,5,6,2]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[3,7,4,1,6,2,5]=>[6,7,4,3,5,1,2]=>{{1,6},{2,7},{3,4},{5}}=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,7},{3,4},{5}}
[3,7,4,1,6,5,2]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[3,7,4,2,1,5,6]=>[5,7,4,3,1,6,2]=>{{1,5},{2,7},{3,4},{6}}=>{{1,4},{2,7},{3,5},{6}}=>{{1,5},{2,7},{3,4},{6}}
[3,7,4,2,1,6,5]=>[5,7,4,3,1,6,2]=>{{1,5},{2,7},{3,4},{6}}=>{{1,4},{2,7},{3,5},{6}}=>{{1,5},{2,7},{3,4},{6}}
[3,7,4,2,5,1,6]=>[6,7,4,3,5,1,2]=>{{1,6},{2,7},{3,4},{5}}=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,7},{3,4},{5}}
[3,7,4,2,5,6,1]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[3,7,4,2,6,1,5]=>[6,7,4,3,5,1,2]=>{{1,6},{2,7},{3,4},{5}}=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,7},{3,4},{5}}
[3,7,4,2,6,5,1]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[3,7,4,5,1,2,6]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[3,7,4,5,1,6,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[3,7,4,5,2,1,6]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[3,7,4,5,2,6,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[3,7,4,5,6,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[3,7,4,5,6,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[3,7,4,6,1,2,5]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[3,7,4,6,1,5,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[3,7,4,6,2,1,5]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[3,7,4,6,2,5,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[3,7,4,6,5,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[3,7,4,6,5,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[3,7,5,1,2,4,6]=>[5,7,6,4,1,3,2]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}
[3,7,5,1,2,6,4]=>[5,7,6,4,1,3,2]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}
[3,7,5,1,4,2,6]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[3,7,5,1,4,6,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[3,7,5,1,6,2,4]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[3,7,5,1,6,4,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[3,7,5,2,1,4,6]=>[5,7,6,4,1,3,2]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}
[3,7,5,2,1,6,4]=>[5,7,6,4,1,3,2]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}
[3,7,5,2,4,1,6]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[3,7,5,2,4,6,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[3,7,5,2,6,1,4]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[3,7,5,2,6,4,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[3,7,5,4,1,2,6]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[3,7,5,4,1,6,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[3,7,5,4,2,1,6]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[3,7,5,4,2,6,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[3,7,5,4,6,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[3,7,5,4,6,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[3,7,5,6,1,2,4]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[3,7,5,6,1,4,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[3,7,5,6,2,1,4]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[3,7,5,6,2,4,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[3,7,5,6,4,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[3,7,5,6,4,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[3,7,6,1,2,4,5]=>[5,7,6,4,1,3,2]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}
[3,7,6,1,2,5,4]=>[5,7,6,4,1,3,2]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}
[3,7,6,1,4,2,5]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[3,7,6,1,4,5,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[3,7,6,1,5,2,4]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[3,7,6,1,5,4,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[3,7,6,2,1,4,5]=>[5,7,6,4,1,3,2]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}
[3,7,6,2,1,5,4]=>[5,7,6,4,1,3,2]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}
[3,7,6,2,4,1,5]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[3,7,6,2,4,5,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[3,7,6,2,5,1,4]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[3,7,6,2,5,4,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[3,7,6,4,1,2,5]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[3,7,6,4,1,5,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[3,7,6,4,2,1,5]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[3,7,6,4,2,5,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[3,7,6,4,5,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[3,7,6,4,5,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[3,7,6,5,1,2,4]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[3,7,6,5,1,4,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[3,7,6,5,2,1,4]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[3,7,6,5,2,4,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[3,7,6,5,4,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[3,7,6,5,4,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,1,2,3,5,6,7]=>[4,2,3,1,5,6,7]=>{{1,4},{2},{3},{5},{6},{7}}=>{{1,4},{2},{3},{5},{6},{7}}=>{{1,4},{2},{3},{5},{6},{7}}
[4,1,2,3,5,7,6]=>[4,2,3,1,5,7,6]=>{{1,4},{2},{3},{5},{6,7}}=>{{1,4},{2},{3},{5},{6,7}}=>{{1,4},{2},{3},{5},{6,7}}
[4,1,2,3,6,5,7]=>[4,2,3,1,6,5,7]=>{{1,4},{2},{3},{5,6},{7}}=>{{1,4},{2},{3},{5,6},{7}}=>{{1,4},{2},{3},{5,6},{7}}
[4,1,2,3,6,7,5]=>[4,2,3,1,7,6,5]=>{{1,4},{2},{3},{5,7},{6}}=>{{1,4},{2},{3},{5,7},{6}}=>{{1,4},{2},{3},{5,7},{6}}
[4,1,2,3,7,5,6]=>[4,2,3,1,7,6,5]=>{{1,4},{2},{3},{5,7},{6}}=>{{1,4},{2},{3},{5,7},{6}}=>{{1,4},{2},{3},{5,7},{6}}
[4,1,2,3,7,6,5]=>[4,2,3,1,7,6,5]=>{{1,4},{2},{3},{5,7},{6}}=>{{1,4},{2},{3},{5,7},{6}}=>{{1,4},{2},{3},{5,7},{6}}
[4,1,2,5,3,6,7]=>[5,2,3,4,1,6,7]=>{{1,5},{2},{3},{4},{6},{7}}=>{{1,5},{2},{3},{4},{6},{7}}=>{{1,5},{2},{3},{4},{6},{7}}
[4,1,2,5,3,7,6]=>[5,2,3,4,1,7,6]=>{{1,5},{2},{3},{4},{6,7}}=>{{1,5},{2},{3},{4},{6,7}}=>{{1,5},{2},{3},{4},{6,7}}
[4,1,2,5,6,3,7]=>[6,2,3,4,5,1,7]=>{{1,6},{2},{3},{4},{5},{7}}=>{{1,6},{2},{3},{4},{5},{7}}=>{{1,6},{2},{3},{4},{5},{7}}
[4,1,2,5,6,7,3]=>[7,2,3,4,5,6,1]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5},{6}}
[4,1,2,5,7,3,6]=>[6,2,3,4,7,1,5]=>{{1,6},{2},{3},{4},{5,7}}=>{{1,7},{2},{3},{4},{5,6}}=>{{1,6},{2},{3},{4},{5,7}}
[4,1,2,5,7,6,3]=>[7,2,3,4,6,5,1]=>{{1,7},{2},{3},{4},{5,6}}=>{{1,6},{2},{3},{4},{5,7}}=>{{1,7},{2},{3},{4},{5,6}}
[4,1,2,6,3,5,7]=>[5,2,3,6,1,4,7]=>{{1,5},{2},{3},{4,6},{7}}=>{{1,6},{2},{3},{4,5},{7}}=>{{1,5},{2},{3},{4,6},{7}}
[4,1,2,6,3,7,5]=>[5,2,3,7,1,6,4]=>{{1,5},{2},{3},{4,7},{6}}=>{{1,7},{2},{3},{4,5},{6}}=>{{1,5},{2},{3},{4,7},{6}}
[4,1,2,6,5,3,7]=>[6,2,3,5,4,1,7]=>{{1,6},{2},{3},{4,5},{7}}=>{{1,5},{2},{3},{4,6},{7}}=>{{1,6},{2},{3},{4,5},{7}}
[4,1,2,6,5,7,3]=>[7,2,3,5,4,6,1]=>{{1,7},{2},{3},{4,5},{6}}=>{{1,5},{2},{3},{4,7},{6}}=>{{1,7},{2},{3},{4,5},{6}}
[4,1,2,6,7,3,5]=>[6,2,3,7,5,1,4]=>{{1,6},{2},{3},{4,7},{5}}=>{{1,7},{2},{3},{4,6},{5}}=>{{1,6},{2},{3},{4,7},{5}}
[4,1,2,6,7,5,3]=>[7,2,3,6,5,4,1]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,6},{2},{3},{4,7},{5}}=>{{1,7},{2},{3},{4,6},{5}}
[4,1,2,7,3,5,6]=>[5,2,3,7,1,6,4]=>{{1,5},{2},{3},{4,7},{6}}=>{{1,7},{2},{3},{4,5},{6}}=>{{1,5},{2},{3},{4,7},{6}}
[4,1,2,7,3,6,5]=>[5,2,3,7,1,6,4]=>{{1,5},{2},{3},{4,7},{6}}=>{{1,7},{2},{3},{4,5},{6}}=>{{1,5},{2},{3},{4,7},{6}}
[4,1,2,7,5,3,6]=>[6,2,3,7,5,1,4]=>{{1,6},{2},{3},{4,7},{5}}=>{{1,7},{2},{3},{4,6},{5}}=>{{1,6},{2},{3},{4,7},{5}}
[4,1,2,7,5,6,3]=>[7,2,3,6,5,4,1]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,6},{2},{3},{4,7},{5}}=>{{1,7},{2},{3},{4,6},{5}}
[4,1,2,7,6,3,5]=>[6,2,3,7,5,1,4]=>{{1,6},{2},{3},{4,7},{5}}=>{{1,7},{2},{3},{4,6},{5}}=>{{1,6},{2},{3},{4,7},{5}}
[4,1,2,7,6,5,3]=>[7,2,3,6,5,4,1]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,6},{2},{3},{4,7},{5}}=>{{1,7},{2},{3},{4,6},{5}}
[4,1,3,2,5,6,7]=>[4,2,3,1,5,6,7]=>{{1,4},{2},{3},{5},{6},{7}}=>{{1,4},{2},{3},{5},{6},{7}}=>{{1,4},{2},{3},{5},{6},{7}}
[4,1,3,2,5,7,6]=>[4,2,3,1,5,7,6]=>{{1,4},{2},{3},{5},{6,7}}=>{{1,4},{2},{3},{5},{6,7}}=>{{1,4},{2},{3},{5},{6,7}}
[4,1,3,2,6,5,7]=>[4,2,3,1,6,5,7]=>{{1,4},{2},{3},{5,6},{7}}=>{{1,4},{2},{3},{5,6},{7}}=>{{1,4},{2},{3},{5,6},{7}}
[4,1,3,2,6,7,5]=>[4,2,3,1,7,6,5]=>{{1,4},{2},{3},{5,7},{6}}=>{{1,4},{2},{3},{5,7},{6}}=>{{1,4},{2},{3},{5,7},{6}}
[4,1,3,2,7,5,6]=>[4,2,3,1,7,6,5]=>{{1,4},{2},{3},{5,7},{6}}=>{{1,4},{2},{3},{5,7},{6}}=>{{1,4},{2},{3},{5,7},{6}}
[4,1,3,2,7,6,5]=>[4,2,3,1,7,6,5]=>{{1,4},{2},{3},{5,7},{6}}=>{{1,4},{2},{3},{5,7},{6}}=>{{1,4},{2},{3},{5,7},{6}}
[4,1,3,5,2,6,7]=>[5,2,3,4,1,6,7]=>{{1,5},{2},{3},{4},{6},{7}}=>{{1,5},{2},{3},{4},{6},{7}}=>{{1,5},{2},{3},{4},{6},{7}}
[4,1,3,5,2,7,6]=>[5,2,3,4,1,7,6]=>{{1,5},{2},{3},{4},{6,7}}=>{{1,5},{2},{3},{4},{6,7}}=>{{1,5},{2},{3},{4},{6,7}}
[4,1,3,5,6,2,7]=>[6,2,3,4,5,1,7]=>{{1,6},{2},{3},{4},{5},{7}}=>{{1,6},{2},{3},{4},{5},{7}}=>{{1,6},{2},{3},{4},{5},{7}}
[4,1,3,5,6,7,2]=>[7,2,3,4,5,6,1]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5},{6}}
[4,1,3,5,7,2,6]=>[6,2,3,4,7,1,5]=>{{1,6},{2},{3},{4},{5,7}}=>{{1,7},{2},{3},{4},{5,6}}=>{{1,6},{2},{3},{4},{5,7}}
[4,1,3,5,7,6,2]=>[7,2,3,4,6,5,1]=>{{1,7},{2},{3},{4},{5,6}}=>{{1,6},{2},{3},{4},{5,7}}=>{{1,7},{2},{3},{4},{5,6}}
[4,1,3,6,2,5,7]=>[5,2,3,6,1,4,7]=>{{1,5},{2},{3},{4,6},{7}}=>{{1,6},{2},{3},{4,5},{7}}=>{{1,5},{2},{3},{4,6},{7}}
[4,1,3,6,2,7,5]=>[5,2,3,7,1,6,4]=>{{1,5},{2},{3},{4,7},{6}}=>{{1,7},{2},{3},{4,5},{6}}=>{{1,5},{2},{3},{4,7},{6}}
[4,1,3,6,5,2,7]=>[6,2,3,5,4,1,7]=>{{1,6},{2},{3},{4,5},{7}}=>{{1,5},{2},{3},{4,6},{7}}=>{{1,6},{2},{3},{4,5},{7}}
[4,1,3,6,5,7,2]=>[7,2,3,5,4,6,1]=>{{1,7},{2},{3},{4,5},{6}}=>{{1,5},{2},{3},{4,7},{6}}=>{{1,7},{2},{3},{4,5},{6}}
[4,1,3,6,7,2,5]=>[6,2,3,7,5,1,4]=>{{1,6},{2},{3},{4,7},{5}}=>{{1,7},{2},{3},{4,6},{5}}=>{{1,6},{2},{3},{4,7},{5}}
[4,1,3,6,7,5,2]=>[7,2,3,6,5,4,1]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,6},{2},{3},{4,7},{5}}=>{{1,7},{2},{3},{4,6},{5}}
[4,1,3,7,2,5,6]=>[5,2,3,7,1,6,4]=>{{1,5},{2},{3},{4,7},{6}}=>{{1,7},{2},{3},{4,5},{6}}=>{{1,5},{2},{3},{4,7},{6}}
[4,1,3,7,2,6,5]=>[5,2,3,7,1,6,4]=>{{1,5},{2},{3},{4,7},{6}}=>{{1,7},{2},{3},{4,5},{6}}=>{{1,5},{2},{3},{4,7},{6}}
[4,1,3,7,5,2,6]=>[6,2,3,7,5,1,4]=>{{1,6},{2},{3},{4,7},{5}}=>{{1,7},{2},{3},{4,6},{5}}=>{{1,6},{2},{3},{4,7},{5}}
[4,1,3,7,5,6,2]=>[7,2,3,6,5,4,1]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,6},{2},{3},{4,7},{5}}=>{{1,7},{2},{3},{4,6},{5}}
[4,1,3,7,6,2,5]=>[6,2,3,7,5,1,4]=>{{1,6},{2},{3},{4,7},{5}}=>{{1,7},{2},{3},{4,6},{5}}=>{{1,6},{2},{3},{4,7},{5}}
[4,1,3,7,6,5,2]=>[7,2,3,6,5,4,1]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,6},{2},{3},{4,7},{5}}=>{{1,7},{2},{3},{4,6},{5}}
[4,1,5,2,3,6,7]=>[5,2,4,3,1,6,7]=>{{1,5},{2},{3,4},{6},{7}}=>{{1,4},{2},{3,5},{6},{7}}=>{{1,5},{2},{3,4},{6},{7}}
[4,1,5,2,3,7,6]=>[5,2,4,3,1,7,6]=>{{1,5},{2},{3,4},{6,7}}=>{{1,4},{2},{3,5},{6,7}}=>{{1,5},{2},{3,4},{6,7}}
[4,1,5,2,6,3,7]=>[6,2,4,3,5,1,7]=>{{1,6},{2},{3,4},{5},{7}}=>{{1,4},{2},{3,6},{5},{7}}=>{{1,6},{2},{3,4},{5},{7}}
[4,1,5,2,6,7,3]=>[7,2,4,3,5,6,1]=>{{1,7},{2},{3,4},{5},{6}}=>{{1,4},{2},{3,7},{5},{6}}=>{{1,7},{2},{3,4},{5},{6}}
[4,1,5,2,7,3,6]=>[6,2,4,3,7,1,5]=>{{1,6},{2},{3,4},{5,7}}=>{{1,4},{2},{3,7},{5,6}}=>{{1,6},{2},{3,4},{5,7}}
[4,1,5,2,7,6,3]=>[7,2,4,3,6,5,1]=>{{1,7},{2},{3,4},{5,6}}=>{{1,4},{2},{3,6},{5,7}}=>{{1,7},{2},{3,4},{5,6}}
[4,1,5,3,2,6,7]=>[5,2,4,3,1,6,7]=>{{1,5},{2},{3,4},{6},{7}}=>{{1,4},{2},{3,5},{6},{7}}=>{{1,5},{2},{3,4},{6},{7}}
[4,1,5,3,2,7,6]=>[5,2,4,3,1,7,6]=>{{1,5},{2},{3,4},{6,7}}=>{{1,4},{2},{3,5},{6,7}}=>{{1,5},{2},{3,4},{6,7}}
[4,1,5,3,6,2,7]=>[6,2,4,3,5,1,7]=>{{1,6},{2},{3,4},{5},{7}}=>{{1,4},{2},{3,6},{5},{7}}=>{{1,6},{2},{3,4},{5},{7}}
[4,1,5,3,6,7,2]=>[7,2,4,3,5,6,1]=>{{1,7},{2},{3,4},{5},{6}}=>{{1,4},{2},{3,7},{5},{6}}=>{{1,7},{2},{3,4},{5},{6}}
[4,1,5,3,7,2,6]=>[6,2,4,3,7,1,5]=>{{1,6},{2},{3,4},{5,7}}=>{{1,4},{2},{3,7},{5,6}}=>{{1,6},{2},{3,4},{5,7}}
[4,1,5,3,7,6,2]=>[7,2,4,3,6,5,1]=>{{1,7},{2},{3,4},{5,6}}=>{{1,4},{2},{3,6},{5,7}}=>{{1,7},{2},{3,4},{5,6}}
[4,1,5,6,2,3,7]=>[6,2,5,4,3,1,7]=>{{1,6},{2},{3,5},{4},{7}}=>{{1,5},{2},{3,6},{4},{7}}=>{{1,6},{2},{3,5},{4},{7}}
[4,1,5,6,2,7,3]=>[7,2,5,4,3,6,1]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}
[4,1,5,6,3,2,7]=>[6,2,5,4,3,1,7]=>{{1,6},{2},{3,5},{4},{7}}=>{{1,5},{2},{3,6},{4},{7}}=>{{1,6},{2},{3,5},{4},{7}}
[4,1,5,6,3,7,2]=>[7,2,5,4,3,6,1]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}
[4,1,5,6,7,2,3]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[4,1,5,6,7,3,2]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[4,1,5,7,2,3,6]=>[6,2,5,7,3,1,4]=>{{1,6},{2},{3,5},{4,7}}=>{{1,7},{2},{3,5},{4,6}}=>{{1,6},{2},{3,5},{4,7}}
[4,1,5,7,2,6,3]=>[7,2,5,6,3,4,1]=>{{1,7},{2},{3,5},{4,6}}=>{{1,6},{2},{3,5},{4,7}}=>{{1,7},{2},{3,5},{4,6}}
[4,1,5,7,3,2,6]=>[6,2,5,7,3,1,4]=>{{1,6},{2},{3,5},{4,7}}=>{{1,7},{2},{3,5},{4,6}}=>{{1,6},{2},{3,5},{4,7}}
[4,1,5,7,3,6,2]=>[7,2,5,6,3,4,1]=>{{1,7},{2},{3,5},{4,6}}=>{{1,6},{2},{3,5},{4,7}}=>{{1,7},{2},{3,5},{4,6}}
[4,1,5,7,6,2,3]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[4,1,5,7,6,3,2]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[4,1,6,2,3,5,7]=>[5,2,6,4,1,3,7]=>{{1,5},{2},{3,6},{4},{7}}=>{{1,6},{2},{3,5},{4},{7}}=>{{1,5},{2},{3,6},{4},{7}}
[4,1,6,2,3,7,5]=>[5,2,7,4,1,6,3]=>{{1,5},{2},{3,7},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}
[4,1,6,2,5,3,7]=>[6,2,5,4,3,1,7]=>{{1,6},{2},{3,5},{4},{7}}=>{{1,5},{2},{3,6},{4},{7}}=>{{1,6},{2},{3,5},{4},{7}}
[4,1,6,2,5,7,3]=>[7,2,5,4,3,6,1]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}
[4,1,6,2,7,3,5]=>[6,2,7,4,5,1,3]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}
[4,1,6,2,7,5,3]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[4,1,6,3,2,5,7]=>[5,2,6,4,1,3,7]=>{{1,5},{2},{3,6},{4},{7}}=>{{1,6},{2},{3,5},{4},{7}}=>{{1,5},{2},{3,6},{4},{7}}
[4,1,6,3,2,7,5]=>[5,2,7,4,1,6,3]=>{{1,5},{2},{3,7},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}
[4,1,6,3,5,2,7]=>[6,2,5,4,3,1,7]=>{{1,6},{2},{3,5},{4},{7}}=>{{1,5},{2},{3,6},{4},{7}}=>{{1,6},{2},{3,5},{4},{7}}
[4,1,6,3,5,7,2]=>[7,2,5,4,3,6,1]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}
[4,1,6,3,7,2,5]=>[6,2,7,4,5,1,3]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}
[4,1,6,3,7,5,2]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[4,1,6,5,2,3,7]=>[6,2,5,4,3,1,7]=>{{1,6},{2},{3,5},{4},{7}}=>{{1,5},{2},{3,6},{4},{7}}=>{{1,6},{2},{3,5},{4},{7}}
[4,1,6,5,2,7,3]=>[7,2,5,4,3,6,1]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}
[4,1,6,5,3,2,7]=>[6,2,5,4,3,1,7]=>{{1,6},{2},{3,5},{4},{7}}=>{{1,5},{2},{3,6},{4},{7}}=>{{1,6},{2},{3,5},{4},{7}}
[4,1,6,5,3,7,2]=>[7,2,5,4,3,6,1]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}
[4,1,6,5,7,2,3]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[4,1,6,5,7,3,2]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[4,1,6,7,2,3,5]=>[6,2,7,5,4,1,3]=>{{1,6},{2},{3,7},{4,5}}=>{{1,5},{2},{3,7},{4,6}}=>{{1,6},{2},{3,7},{4,5}}
[4,1,6,7,2,5,3]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[4,1,6,7,3,2,5]=>[6,2,7,5,4,1,3]=>{{1,6},{2},{3,7},{4,5}}=>{{1,5},{2},{3,7},{4,6}}=>{{1,6},{2},{3,7},{4,5}}
[4,1,6,7,3,5,2]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[4,1,6,7,5,2,3]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[4,1,6,7,5,3,2]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[4,1,7,2,3,5,6]=>[5,2,7,4,1,6,3]=>{{1,5},{2},{3,7},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}
[4,1,7,2,3,6,5]=>[5,2,7,4,1,6,3]=>{{1,5},{2},{3,7},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}
[4,1,7,2,5,3,6]=>[6,2,7,4,5,1,3]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}
[4,1,7,2,5,6,3]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[4,1,7,2,6,3,5]=>[6,2,7,4,5,1,3]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}
[4,1,7,2,6,5,3]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[4,1,7,3,2,5,6]=>[5,2,7,4,1,6,3]=>{{1,5},{2},{3,7},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}
[4,1,7,3,2,6,5]=>[5,2,7,4,1,6,3]=>{{1,5},{2},{3,7},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}
[4,1,7,3,5,2,6]=>[6,2,7,4,5,1,3]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}
[4,1,7,3,5,6,2]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[4,1,7,3,6,2,5]=>[6,2,7,4,5,1,3]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}
[4,1,7,3,6,5,2]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[4,1,7,5,2,3,6]=>[6,2,7,5,4,1,3]=>{{1,6},{2},{3,7},{4,5}}=>{{1,5},{2},{3,7},{4,6}}=>{{1,6},{2},{3,7},{4,5}}
[4,1,7,5,2,6,3]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[4,1,7,5,3,2,6]=>[6,2,7,5,4,1,3]=>{{1,6},{2},{3,7},{4,5}}=>{{1,5},{2},{3,7},{4,6}}=>{{1,6},{2},{3,7},{4,5}}
[4,1,7,5,3,6,2]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[4,1,7,5,6,2,3]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[4,1,7,5,6,3,2]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[4,1,7,6,2,3,5]=>[6,2,7,5,4,1,3]=>{{1,6},{2},{3,7},{4,5}}=>{{1,5},{2},{3,7},{4,6}}=>{{1,6},{2},{3,7},{4,5}}
[4,1,7,6,2,5,3]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[4,1,7,6,3,2,5]=>[6,2,7,5,4,1,3]=>{{1,6},{2},{3,7},{4,5}}=>{{1,5},{2},{3,7},{4,6}}=>{{1,6},{2},{3,7},{4,5}}
[4,1,7,6,3,5,2]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[4,1,7,6,5,2,3]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[4,1,7,6,5,3,2]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[4,2,1,3,5,6,7]=>[4,3,2,1,5,6,7]=>{{1,4},{2,3},{5},{6},{7}}=>{{1,3},{2,4},{5},{6},{7}}=>{{1,4},{2,3},{5},{6},{7}}
[4,2,1,3,5,7,6]=>[4,3,2,1,5,7,6]=>{{1,4},{2,3},{5},{6,7}}=>{{1,3},{2,4},{5},{6,7}}=>{{1,4},{2,3},{5},{6,7}}
[4,2,1,3,6,5,7]=>[4,3,2,1,6,5,7]=>{{1,4},{2,3},{5,6},{7}}=>{{1,3},{2,4},{5,6},{7}}=>{{1,4},{2,3},{5,6},{7}}
[4,2,1,3,6,7,5]=>[4,3,2,1,7,6,5]=>{{1,4},{2,3},{5,7},{6}}=>{{1,3},{2,4},{5,7},{6}}=>{{1,4},{2,3},{5,7},{6}}
[4,2,1,3,7,5,6]=>[4,3,2,1,7,6,5]=>{{1,4},{2,3},{5,7},{6}}=>{{1,3},{2,4},{5,7},{6}}=>{{1,4},{2,3},{5,7},{6}}
[4,2,1,3,7,6,5]=>[4,3,2,1,7,6,5]=>{{1,4},{2,3},{5,7},{6}}=>{{1,3},{2,4},{5,7},{6}}=>{{1,4},{2,3},{5,7},{6}}
[4,2,1,5,3,6,7]=>[5,3,2,4,1,6,7]=>{{1,5},{2,3},{4},{6},{7}}=>{{1,3},{2,5},{4},{6},{7}}=>{{1,5},{2,3},{4},{6},{7}}
[4,2,1,5,3,7,6]=>[5,3,2,4,1,7,6]=>{{1,5},{2,3},{4},{6,7}}=>{{1,3},{2,5},{4},{6,7}}=>{{1,5},{2,3},{4},{6,7}}
[4,2,1,5,6,3,7]=>[6,3,2,4,5,1,7]=>{{1,6},{2,3},{4},{5},{7}}=>{{1,3},{2,6},{4},{5},{7}}=>{{1,6},{2,3},{4},{5},{7}}
[4,2,1,5,6,7,3]=>[7,3,2,4,5,6,1]=>{{1,7},{2,3},{4},{5},{6}}=>{{1,3},{2,7},{4},{5},{6}}=>{{1,7},{2,3},{4},{5},{6}}
[4,2,1,5,7,3,6]=>[6,3,2,4,7,1,5]=>{{1,6},{2,3},{4},{5,7}}=>{{1,3},{2,7},{4},{5,6}}=>{{1,6},{2,3},{4},{5,7}}
[4,2,1,5,7,6,3]=>[7,3,2,4,6,5,1]=>{{1,7},{2,3},{4},{5,6}}=>{{1,3},{2,6},{4},{5,7}}=>{{1,7},{2,3},{4},{5,6}}
[4,2,1,6,3,5,7]=>[5,3,2,6,1,4,7]=>{{1,5},{2,3},{4,6},{7}}=>{{1,3},{2,6},{4,5},{7}}=>{{1,5},{2,3},{4,6},{7}}
[4,2,1,6,3,7,5]=>[5,3,2,7,1,6,4]=>{{1,5},{2,3},{4,7},{6}}=>{{1,3},{2,7},{4,5},{6}}=>{{1,5},{2,3},{4,7},{6}}
[4,2,1,6,5,3,7]=>[6,3,2,5,4,1,7]=>{{1,6},{2,3},{4,5},{7}}=>{{1,3},{2,5},{4,6},{7}}=>{{1,6},{2,3},{4,5},{7}}
[4,2,1,6,5,7,3]=>[7,3,2,5,4,6,1]=>{{1,7},{2,3},{4,5},{6}}=>{{1,3},{2,5},{4,7},{6}}=>{{1,7},{2,3},{4,5},{6}}
[4,2,1,6,7,3,5]=>[6,3,2,7,5,1,4]=>{{1,6},{2,3},{4,7},{5}}=>{{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,3},{4,7},{5}}
[4,2,1,6,7,5,3]=>[7,3,2,6,5,4,1]=>{{1,7},{2,3},{4,6},{5}}=>{{1,3},{2,6},{4,7},{5}}=>{{1,7},{2,3},{4,6},{5}}
[4,2,1,7,3,5,6]=>[5,3,2,7,1,6,4]=>{{1,5},{2,3},{4,7},{6}}=>{{1,3},{2,7},{4,5},{6}}=>{{1,5},{2,3},{4,7},{6}}
[4,2,1,7,3,6,5]=>[5,3,2,7,1,6,4]=>{{1,5},{2,3},{4,7},{6}}=>{{1,3},{2,7},{4,5},{6}}=>{{1,5},{2,3},{4,7},{6}}
[4,2,1,7,5,3,6]=>[6,3,2,7,5,1,4]=>{{1,6},{2,3},{4,7},{5}}=>{{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,3},{4,7},{5}}
[4,2,1,7,5,6,3]=>[7,3,2,6,5,4,1]=>{{1,7},{2,3},{4,6},{5}}=>{{1,3},{2,6},{4,7},{5}}=>{{1,7},{2,3},{4,6},{5}}
[4,2,1,7,6,3,5]=>[6,3,2,7,5,1,4]=>{{1,6},{2,3},{4,7},{5}}=>{{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,3},{4,7},{5}}
[4,2,1,7,6,5,3]=>[7,3,2,6,5,4,1]=>{{1,7},{2,3},{4,6},{5}}=>{{1,3},{2,6},{4,7},{5}}=>{{1,7},{2,3},{4,6},{5}}
[4,2,3,1,5,6,7]=>[4,3,2,1,5,6,7]=>{{1,4},{2,3},{5},{6},{7}}=>{{1,3},{2,4},{5},{6},{7}}=>{{1,4},{2,3},{5},{6},{7}}
[4,2,3,1,5,7,6]=>[4,3,2,1,5,7,6]=>{{1,4},{2,3},{5},{6,7}}=>{{1,3},{2,4},{5},{6,7}}=>{{1,4},{2,3},{5},{6,7}}
[4,2,3,1,6,5,7]=>[4,3,2,1,6,5,7]=>{{1,4},{2,3},{5,6},{7}}=>{{1,3},{2,4},{5,6},{7}}=>{{1,4},{2,3},{5,6},{7}}
[4,2,3,1,6,7,5]=>[4,3,2,1,7,6,5]=>{{1,4},{2,3},{5,7},{6}}=>{{1,3},{2,4},{5,7},{6}}=>{{1,4},{2,3},{5,7},{6}}
[4,2,3,1,7,5,6]=>[4,3,2,1,7,6,5]=>{{1,4},{2,3},{5,7},{6}}=>{{1,3},{2,4},{5,7},{6}}=>{{1,4},{2,3},{5,7},{6}}
[4,2,3,1,7,6,5]=>[4,3,2,1,7,6,5]=>{{1,4},{2,3},{5,7},{6}}=>{{1,3},{2,4},{5,7},{6}}=>{{1,4},{2,3},{5,7},{6}}
[4,2,3,5,1,6,7]=>[5,3,2,4,1,6,7]=>{{1,5},{2,3},{4},{6},{7}}=>{{1,3},{2,5},{4},{6},{7}}=>{{1,5},{2,3},{4},{6},{7}}
[4,2,3,5,1,7,6]=>[5,3,2,4,1,7,6]=>{{1,5},{2,3},{4},{6,7}}=>{{1,3},{2,5},{4},{6,7}}=>{{1,5},{2,3},{4},{6,7}}
[4,2,3,5,6,1,7]=>[6,3,2,4,5,1,7]=>{{1,6},{2,3},{4},{5},{7}}=>{{1,3},{2,6},{4},{5},{7}}=>{{1,6},{2,3},{4},{5},{7}}
[4,2,3,5,6,7,1]=>[7,3,2,4,5,6,1]=>{{1,7},{2,3},{4},{5},{6}}=>{{1,3},{2,7},{4},{5},{6}}=>{{1,7},{2,3},{4},{5},{6}}
[4,2,3,5,7,1,6]=>[6,3,2,4,7,1,5]=>{{1,6},{2,3},{4},{5,7}}=>{{1,3},{2,7},{4},{5,6}}=>{{1,6},{2,3},{4},{5,7}}
[4,2,3,5,7,6,1]=>[7,3,2,4,6,5,1]=>{{1,7},{2,3},{4},{5,6}}=>{{1,3},{2,6},{4},{5,7}}=>{{1,7},{2,3},{4},{5,6}}
[4,2,3,6,1,5,7]=>[5,3,2,6,1,4,7]=>{{1,5},{2,3},{4,6},{7}}=>{{1,3},{2,6},{4,5},{7}}=>{{1,5},{2,3},{4,6},{7}}
[4,2,3,6,1,7,5]=>[5,3,2,7,1,6,4]=>{{1,5},{2,3},{4,7},{6}}=>{{1,3},{2,7},{4,5},{6}}=>{{1,5},{2,3},{4,7},{6}}
[4,2,3,6,5,1,7]=>[6,3,2,5,4,1,7]=>{{1,6},{2,3},{4,5},{7}}=>{{1,3},{2,5},{4,6},{7}}=>{{1,6},{2,3},{4,5},{7}}
[4,2,3,6,5,7,1]=>[7,3,2,5,4,6,1]=>{{1,7},{2,3},{4,5},{6}}=>{{1,3},{2,5},{4,7},{6}}=>{{1,7},{2,3},{4,5},{6}}
[4,2,3,6,7,1,5]=>[6,3,2,7,5,1,4]=>{{1,6},{2,3},{4,7},{5}}=>{{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,3},{4,7},{5}}
[4,2,3,6,7,5,1]=>[7,3,2,6,5,4,1]=>{{1,7},{2,3},{4,6},{5}}=>{{1,3},{2,6},{4,7},{5}}=>{{1,7},{2,3},{4,6},{5}}
[4,2,3,7,1,5,6]=>[5,3,2,7,1,6,4]=>{{1,5},{2,3},{4,7},{6}}=>{{1,3},{2,7},{4,5},{6}}=>{{1,5},{2,3},{4,7},{6}}
[4,2,3,7,1,6,5]=>[5,3,2,7,1,6,4]=>{{1,5},{2,3},{4,7},{6}}=>{{1,3},{2,7},{4,5},{6}}=>{{1,5},{2,3},{4,7},{6}}
[4,2,3,7,5,1,6]=>[6,3,2,7,5,1,4]=>{{1,6},{2,3},{4,7},{5}}=>{{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,3},{4,7},{5}}
[4,2,3,7,5,6,1]=>[7,3,2,6,5,4,1]=>{{1,7},{2,3},{4,6},{5}}=>{{1,3},{2,6},{4,7},{5}}=>{{1,7},{2,3},{4,6},{5}}
[4,2,3,7,6,1,5]=>[6,3,2,7,5,1,4]=>{{1,6},{2,3},{4,7},{5}}=>{{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,3},{4,7},{5}}
[4,2,3,7,6,5,1]=>[7,3,2,6,5,4,1]=>{{1,7},{2,3},{4,6},{5}}=>{{1,3},{2,6},{4,7},{5}}=>{{1,7},{2,3},{4,6},{5}}
[4,2,5,1,3,6,7]=>[5,4,3,2,1,6,7]=>{{1,5},{2,4},{3},{6},{7}}=>{{1,4},{2,5},{3},{6},{7}}=>{{1,5},{2,4},{3},{6},{7}}
[4,2,5,1,3,7,6]=>[5,4,3,2,1,7,6]=>{{1,5},{2,4},{3},{6,7}}=>{{1,4},{2,5},{3},{6,7}}=>{{1,5},{2,4},{3},{6,7}}
[4,2,5,1,6,3,7]=>[6,4,3,2,5,1,7]=>{{1,6},{2,4},{3},{5},{7}}=>{{1,4},{2,6},{3},{5},{7}}=>{{1,6},{2,4},{3},{5},{7}}
[4,2,5,1,6,7,3]=>[7,4,3,2,5,6,1]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,4},{2,7},{3},{5},{6}}=>{{1,7},{2,4},{3},{5},{6}}
[4,2,5,1,7,3,6]=>[6,4,3,2,7,1,5]=>{{1,6},{2,4},{3},{5,7}}=>{{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,4},{3},{5,7}}
[4,2,5,1,7,6,3]=>[7,4,3,2,6,5,1]=>{{1,7},{2,4},{3},{5,6}}=>{{1,4},{2,6},{3},{5,7}}=>{{1,7},{2,4},{3},{5,6}}
[4,2,5,3,1,6,7]=>[5,4,3,2,1,6,7]=>{{1,5},{2,4},{3},{6},{7}}=>{{1,4},{2,5},{3},{6},{7}}=>{{1,5},{2,4},{3},{6},{7}}
[4,2,5,3,1,7,6]=>[5,4,3,2,1,7,6]=>{{1,5},{2,4},{3},{6,7}}=>{{1,4},{2,5},{3},{6,7}}=>{{1,5},{2,4},{3},{6,7}}
[4,2,5,3,6,1,7]=>[6,4,3,2,5,1,7]=>{{1,6},{2,4},{3},{5},{7}}=>{{1,4},{2,6},{3},{5},{7}}=>{{1,6},{2,4},{3},{5},{7}}
[4,2,5,3,6,7,1]=>[7,4,3,2,5,6,1]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,4},{2,7},{3},{5},{6}}=>{{1,7},{2,4},{3},{5},{6}}
[4,2,5,3,7,1,6]=>[6,4,3,2,7,1,5]=>{{1,6},{2,4},{3},{5,7}}=>{{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,4},{3},{5,7}}
[4,2,5,3,7,6,1]=>[7,4,3,2,6,5,1]=>{{1,7},{2,4},{3},{5,6}}=>{{1,4},{2,6},{3},{5,7}}=>{{1,7},{2,4},{3},{5,6}}
[4,2,5,6,1,3,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[4,2,5,6,1,7,3]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[4,2,5,6,3,1,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[4,2,5,6,3,7,1]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[4,2,5,6,7,1,3]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[4,2,5,6,7,3,1]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[4,2,5,7,1,3,6]=>[6,5,3,7,2,1,4]=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}
[4,2,5,7,1,6,3]=>[7,5,3,6,2,4,1]=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}
[4,2,5,7,3,1,6]=>[6,5,3,7,2,1,4]=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}
[4,2,5,7,3,6,1]=>[7,5,3,6,2,4,1]=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}
[4,2,5,7,6,1,3]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[4,2,5,7,6,3,1]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[4,2,6,1,3,5,7]=>[5,4,6,2,1,3,7]=>{{1,5},{2,4},{3,6},{7}}=>{{1,6},{2,4},{3,5},{7}}=>{{1,5},{2,4},{3,6},{7}}
[4,2,6,1,3,7,5]=>[5,4,7,2,1,6,3]=>{{1,5},{2,4},{3,7},{6}}=>{{1,7},{2,4},{3,5},{6}}=>{{1,5},{2,4},{3,7},{6}}
[4,2,6,1,5,3,7]=>[6,4,5,2,3,1,7]=>{{1,6},{2,4},{3,5},{7}}=>{{1,5},{2,4},{3,6},{7}}=>{{1,6},{2,4},{3,5},{7}}
[4,2,6,1,5,7,3]=>[7,4,5,2,3,6,1]=>{{1,7},{2,4},{3,5},{6}}=>{{1,5},{2,4},{3,7},{6}}=>{{1,7},{2,4},{3,5},{6}}
[4,2,6,1,7,3,5]=>[6,4,7,2,5,1,3]=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}
[4,2,6,1,7,5,3]=>[7,4,6,2,5,3,1]=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}
[4,2,6,3,1,5,7]=>[5,4,6,2,1,3,7]=>{{1,5},{2,4},{3,6},{7}}=>{{1,6},{2,4},{3,5},{7}}=>{{1,5},{2,4},{3,6},{7}}
[4,2,6,3,1,7,5]=>[5,4,7,2,1,6,3]=>{{1,5},{2,4},{3,7},{6}}=>{{1,7},{2,4},{3,5},{6}}=>{{1,5},{2,4},{3,7},{6}}
[4,2,6,3,5,1,7]=>[6,4,5,2,3,1,7]=>{{1,6},{2,4},{3,5},{7}}=>{{1,5},{2,4},{3,6},{7}}=>{{1,6},{2,4},{3,5},{7}}
[4,2,6,3,5,7,1]=>[7,4,5,2,3,6,1]=>{{1,7},{2,4},{3,5},{6}}=>{{1,5},{2,4},{3,7},{6}}=>{{1,7},{2,4},{3,5},{6}}
[4,2,6,3,7,1,5]=>[6,4,7,2,5,1,3]=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}
[4,2,6,3,7,5,1]=>[7,4,6,2,5,3,1]=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}
[4,2,6,5,1,3,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[4,2,6,5,1,7,3]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[4,2,6,5,3,1,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[4,2,6,5,3,7,1]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[4,2,6,5,7,1,3]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[4,2,6,5,7,3,1]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[4,2,6,7,1,3,5]=>[6,5,7,4,2,1,3]=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
[4,2,6,7,1,5,3]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[4,2,6,7,3,1,5]=>[6,5,7,4,2,1,3]=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
[4,2,6,7,3,5,1]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[4,2,6,7,5,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,2,6,7,5,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,2,7,1,3,5,6]=>[5,4,7,2,1,6,3]=>{{1,5},{2,4},{3,7},{6}}=>{{1,7},{2,4},{3,5},{6}}=>{{1,5},{2,4},{3,7},{6}}
[4,2,7,1,3,6,5]=>[5,4,7,2,1,6,3]=>{{1,5},{2,4},{3,7},{6}}=>{{1,7},{2,4},{3,5},{6}}=>{{1,5},{2,4},{3,7},{6}}
[4,2,7,1,5,3,6]=>[6,4,7,2,5,1,3]=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}
[4,2,7,1,5,6,3]=>[7,4,6,2,5,3,1]=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}
[4,2,7,1,6,3,5]=>[6,4,7,2,5,1,3]=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}
[4,2,7,1,6,5,3]=>[7,4,6,2,5,3,1]=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}
[4,2,7,3,1,5,6]=>[5,4,7,2,1,6,3]=>{{1,5},{2,4},{3,7},{6}}=>{{1,7},{2,4},{3,5},{6}}=>{{1,5},{2,4},{3,7},{6}}
[4,2,7,3,1,6,5]=>[5,4,7,2,1,6,3]=>{{1,5},{2,4},{3,7},{6}}=>{{1,7},{2,4},{3,5},{6}}=>{{1,5},{2,4},{3,7},{6}}
[4,2,7,3,5,1,6]=>[6,4,7,2,5,1,3]=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}
[4,2,7,3,5,6,1]=>[7,4,6,2,5,3,1]=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}
[4,2,7,3,6,1,5]=>[6,4,7,2,5,1,3]=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}
[4,2,7,3,6,5,1]=>[7,4,6,2,5,3,1]=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}
[4,2,7,5,1,3,6]=>[6,5,7,4,2,1,3]=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
[4,2,7,5,1,6,3]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[4,2,7,5,3,1,6]=>[6,5,7,4,2,1,3]=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
[4,2,7,5,3,6,1]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[4,2,7,5,6,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,2,7,5,6,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,2,7,6,1,3,5]=>[6,5,7,4,2,1,3]=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
[4,2,7,6,1,5,3]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[4,2,7,6,3,1,5]=>[6,5,7,4,2,1,3]=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
[4,2,7,6,3,5,1]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[4,2,7,6,5,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,2,7,6,5,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,3,1,2,5,6,7]=>[4,3,2,1,5,6,7]=>{{1,4},{2,3},{5},{6},{7}}=>{{1,3},{2,4},{5},{6},{7}}=>{{1,4},{2,3},{5},{6},{7}}
[4,3,1,2,5,7,6]=>[4,3,2,1,5,7,6]=>{{1,4},{2,3},{5},{6,7}}=>{{1,3},{2,4},{5},{6,7}}=>{{1,4},{2,3},{5},{6,7}}
[4,3,1,2,6,5,7]=>[4,3,2,1,6,5,7]=>{{1,4},{2,3},{5,6},{7}}=>{{1,3},{2,4},{5,6},{7}}=>{{1,4},{2,3},{5,6},{7}}
[4,3,1,2,6,7,5]=>[4,3,2,1,7,6,5]=>{{1,4},{2,3},{5,7},{6}}=>{{1,3},{2,4},{5,7},{6}}=>{{1,4},{2,3},{5,7},{6}}
[4,3,1,2,7,5,6]=>[4,3,2,1,7,6,5]=>{{1,4},{2,3},{5,7},{6}}=>{{1,3},{2,4},{5,7},{6}}=>{{1,4},{2,3},{5,7},{6}}
[4,3,1,2,7,6,5]=>[4,3,2,1,7,6,5]=>{{1,4},{2,3},{5,7},{6}}=>{{1,3},{2,4},{5,7},{6}}=>{{1,4},{2,3},{5,7},{6}}
[4,3,1,5,2,6,7]=>[5,3,2,4,1,6,7]=>{{1,5},{2,3},{4},{6},{7}}=>{{1,3},{2,5},{4},{6},{7}}=>{{1,5},{2,3},{4},{6},{7}}
[4,3,1,5,2,7,6]=>[5,3,2,4,1,7,6]=>{{1,5},{2,3},{4},{6,7}}=>{{1,3},{2,5},{4},{6,7}}=>{{1,5},{2,3},{4},{6,7}}
[4,3,1,5,6,2,7]=>[6,3,2,4,5,1,7]=>{{1,6},{2,3},{4},{5},{7}}=>{{1,3},{2,6},{4},{5},{7}}=>{{1,6},{2,3},{4},{5},{7}}
[4,3,1,5,6,7,2]=>[7,3,2,4,5,6,1]=>{{1,7},{2,3},{4},{5},{6}}=>{{1,3},{2,7},{4},{5},{6}}=>{{1,7},{2,3},{4},{5},{6}}
[4,3,1,5,7,2,6]=>[6,3,2,4,7,1,5]=>{{1,6},{2,3},{4},{5,7}}=>{{1,3},{2,7},{4},{5,6}}=>{{1,6},{2,3},{4},{5,7}}
[4,3,1,5,7,6,2]=>[7,3,2,4,6,5,1]=>{{1,7},{2,3},{4},{5,6}}=>{{1,3},{2,6},{4},{5,7}}=>{{1,7},{2,3},{4},{5,6}}
[4,3,1,6,2,5,7]=>[5,3,2,6,1,4,7]=>{{1,5},{2,3},{4,6},{7}}=>{{1,3},{2,6},{4,5},{7}}=>{{1,5},{2,3},{4,6},{7}}
[4,3,1,6,2,7,5]=>[5,3,2,7,1,6,4]=>{{1,5},{2,3},{4,7},{6}}=>{{1,3},{2,7},{4,5},{6}}=>{{1,5},{2,3},{4,7},{6}}
[4,3,1,6,5,2,7]=>[6,3,2,5,4,1,7]=>{{1,6},{2,3},{4,5},{7}}=>{{1,3},{2,5},{4,6},{7}}=>{{1,6},{2,3},{4,5},{7}}
[4,3,1,6,5,7,2]=>[7,3,2,5,4,6,1]=>{{1,7},{2,3},{4,5},{6}}=>{{1,3},{2,5},{4,7},{6}}=>{{1,7},{2,3},{4,5},{6}}
[4,3,1,6,7,2,5]=>[6,3,2,7,5,1,4]=>{{1,6},{2,3},{4,7},{5}}=>{{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,3},{4,7},{5}}
[4,3,1,6,7,5,2]=>[7,3,2,6,5,4,1]=>{{1,7},{2,3},{4,6},{5}}=>{{1,3},{2,6},{4,7},{5}}=>{{1,7},{2,3},{4,6},{5}}
[4,3,1,7,2,5,6]=>[5,3,2,7,1,6,4]=>{{1,5},{2,3},{4,7},{6}}=>{{1,3},{2,7},{4,5},{6}}=>{{1,5},{2,3},{4,7},{6}}
[4,3,1,7,2,6,5]=>[5,3,2,7,1,6,4]=>{{1,5},{2,3},{4,7},{6}}=>{{1,3},{2,7},{4,5},{6}}=>{{1,5},{2,3},{4,7},{6}}
[4,3,1,7,5,2,6]=>[6,3,2,7,5,1,4]=>{{1,6},{2,3},{4,7},{5}}=>{{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,3},{4,7},{5}}
[4,3,1,7,5,6,2]=>[7,3,2,6,5,4,1]=>{{1,7},{2,3},{4,6},{5}}=>{{1,3},{2,6},{4,7},{5}}=>{{1,7},{2,3},{4,6},{5}}
[4,3,1,7,6,2,5]=>[6,3,2,7,5,1,4]=>{{1,6},{2,3},{4,7},{5}}=>{{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,3},{4,7},{5}}
[4,3,1,7,6,5,2]=>[7,3,2,6,5,4,1]=>{{1,7},{2,3},{4,6},{5}}=>{{1,3},{2,6},{4,7},{5}}=>{{1,7},{2,3},{4,6},{5}}
[4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>{{1,4},{2,3},{5},{6},{7}}=>{{1,3},{2,4},{5},{6},{7}}=>{{1,4},{2,3},{5},{6},{7}}
[4,3,2,1,5,7,6]=>[4,3,2,1,5,7,6]=>{{1,4},{2,3},{5},{6,7}}=>{{1,3},{2,4},{5},{6,7}}=>{{1,4},{2,3},{5},{6,7}}
[4,3,2,1,6,5,7]=>[4,3,2,1,6,5,7]=>{{1,4},{2,3},{5,6},{7}}=>{{1,3},{2,4},{5,6},{7}}=>{{1,4},{2,3},{5,6},{7}}
[4,3,2,1,6,7,5]=>[4,3,2,1,7,6,5]=>{{1,4},{2,3},{5,7},{6}}=>{{1,3},{2,4},{5,7},{6}}=>{{1,4},{2,3},{5,7},{6}}
[4,3,2,1,7,5,6]=>[4,3,2,1,7,6,5]=>{{1,4},{2,3},{5,7},{6}}=>{{1,3},{2,4},{5,7},{6}}=>{{1,4},{2,3},{5,7},{6}}
[4,3,2,1,7,6,5]=>[4,3,2,1,7,6,5]=>{{1,4},{2,3},{5,7},{6}}=>{{1,3},{2,4},{5,7},{6}}=>{{1,4},{2,3},{5,7},{6}}
[4,3,2,5,1,6,7]=>[5,3,2,4,1,6,7]=>{{1,5},{2,3},{4},{6},{7}}=>{{1,3},{2,5},{4},{6},{7}}=>{{1,5},{2,3},{4},{6},{7}}
[4,3,2,5,1,7,6]=>[5,3,2,4,1,7,6]=>{{1,5},{2,3},{4},{6,7}}=>{{1,3},{2,5},{4},{6,7}}=>{{1,5},{2,3},{4},{6,7}}
[4,3,2,5,6,1,7]=>[6,3,2,4,5,1,7]=>{{1,6},{2,3},{4},{5},{7}}=>{{1,3},{2,6},{4},{5},{7}}=>{{1,6},{2,3},{4},{5},{7}}
[4,3,2,5,6,7,1]=>[7,3,2,4,5,6,1]=>{{1,7},{2,3},{4},{5},{6}}=>{{1,3},{2,7},{4},{5},{6}}=>{{1,7},{2,3},{4},{5},{6}}
[4,3,2,5,7,1,6]=>[6,3,2,4,7,1,5]=>{{1,6},{2,3},{4},{5,7}}=>{{1,3},{2,7},{4},{5,6}}=>{{1,6},{2,3},{4},{5,7}}
[4,3,2,5,7,6,1]=>[7,3,2,4,6,5,1]=>{{1,7},{2,3},{4},{5,6}}=>{{1,3},{2,6},{4},{5,7}}=>{{1,7},{2,3},{4},{5,6}}
[4,3,2,6,1,5,7]=>[5,3,2,6,1,4,7]=>{{1,5},{2,3},{4,6},{7}}=>{{1,3},{2,6},{4,5},{7}}=>{{1,5},{2,3},{4,6},{7}}
[4,3,2,6,1,7,5]=>[5,3,2,7,1,6,4]=>{{1,5},{2,3},{4,7},{6}}=>{{1,3},{2,7},{4,5},{6}}=>{{1,5},{2,3},{4,7},{6}}
[4,3,2,6,5,1,7]=>[6,3,2,5,4,1,7]=>{{1,6},{2,3},{4,5},{7}}=>{{1,3},{2,5},{4,6},{7}}=>{{1,6},{2,3},{4,5},{7}}
[4,3,2,6,5,7,1]=>[7,3,2,5,4,6,1]=>{{1,7},{2,3},{4,5},{6}}=>{{1,3},{2,5},{4,7},{6}}=>{{1,7},{2,3},{4,5},{6}}
[4,3,2,6,7,1,5]=>[6,3,2,7,5,1,4]=>{{1,6},{2,3},{4,7},{5}}=>{{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,3},{4,7},{5}}
[4,3,2,6,7,5,1]=>[7,3,2,6,5,4,1]=>{{1,7},{2,3},{4,6},{5}}=>{{1,3},{2,6},{4,7},{5}}=>{{1,7},{2,3},{4,6},{5}}
[4,3,2,7,1,5,6]=>[5,3,2,7,1,6,4]=>{{1,5},{2,3},{4,7},{6}}=>{{1,3},{2,7},{4,5},{6}}=>{{1,5},{2,3},{4,7},{6}}
[4,3,2,7,1,6,5]=>[5,3,2,7,1,6,4]=>{{1,5},{2,3},{4,7},{6}}=>{{1,3},{2,7},{4,5},{6}}=>{{1,5},{2,3},{4,7},{6}}
[4,3,2,7,5,1,6]=>[6,3,2,7,5,1,4]=>{{1,6},{2,3},{4,7},{5}}=>{{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,3},{4,7},{5}}
[4,3,2,7,5,6,1]=>[7,3,2,6,5,4,1]=>{{1,7},{2,3},{4,6},{5}}=>{{1,3},{2,6},{4,7},{5}}=>{{1,7},{2,3},{4,6},{5}}
[4,3,2,7,6,1,5]=>[6,3,2,7,5,1,4]=>{{1,6},{2,3},{4,7},{5}}=>{{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,3},{4,7},{5}}
[4,3,2,7,6,5,1]=>[7,3,2,6,5,4,1]=>{{1,7},{2,3},{4,6},{5}}=>{{1,3},{2,6},{4,7},{5}}=>{{1,7},{2,3},{4,6},{5}}
[4,3,5,1,2,6,7]=>[5,4,3,2,1,6,7]=>{{1,5},{2,4},{3},{6},{7}}=>{{1,4},{2,5},{3},{6},{7}}=>{{1,5},{2,4},{3},{6},{7}}
[4,3,5,1,2,7,6]=>[5,4,3,2,1,7,6]=>{{1,5},{2,4},{3},{6,7}}=>{{1,4},{2,5},{3},{6,7}}=>{{1,5},{2,4},{3},{6,7}}
[4,3,5,1,6,2,7]=>[6,4,3,2,5,1,7]=>{{1,6},{2,4},{3},{5},{7}}=>{{1,4},{2,6},{3},{5},{7}}=>{{1,6},{2,4},{3},{5},{7}}
[4,3,5,1,6,7,2]=>[7,4,3,2,5,6,1]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,4},{2,7},{3},{5},{6}}=>{{1,7},{2,4},{3},{5},{6}}
[4,3,5,1,7,2,6]=>[6,4,3,2,7,1,5]=>{{1,6},{2,4},{3},{5,7}}=>{{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,4},{3},{5,7}}
[4,3,5,1,7,6,2]=>[7,4,3,2,6,5,1]=>{{1,7},{2,4},{3},{5,6}}=>{{1,4},{2,6},{3},{5,7}}=>{{1,7},{2,4},{3},{5,6}}
[4,3,5,2,1,6,7]=>[5,4,3,2,1,6,7]=>{{1,5},{2,4},{3},{6},{7}}=>{{1,4},{2,5},{3},{6},{7}}=>{{1,5},{2,4},{3},{6},{7}}
[4,3,5,2,1,7,6]=>[5,4,3,2,1,7,6]=>{{1,5},{2,4},{3},{6,7}}=>{{1,4},{2,5},{3},{6,7}}=>{{1,5},{2,4},{3},{6,7}}
[4,3,5,2,6,1,7]=>[6,4,3,2,5,1,7]=>{{1,6},{2,4},{3},{5},{7}}=>{{1,4},{2,6},{3},{5},{7}}=>{{1,6},{2,4},{3},{5},{7}}
[4,3,5,2,6,7,1]=>[7,4,3,2,5,6,1]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,4},{2,7},{3},{5},{6}}=>{{1,7},{2,4},{3},{5},{6}}
[4,3,5,2,7,1,6]=>[6,4,3,2,7,1,5]=>{{1,6},{2,4},{3},{5,7}}=>{{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,4},{3},{5,7}}
[4,3,5,2,7,6,1]=>[7,4,3,2,6,5,1]=>{{1,7},{2,4},{3},{5,6}}=>{{1,4},{2,6},{3},{5,7}}=>{{1,7},{2,4},{3},{5,6}}
[4,3,5,6,1,2,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[4,3,5,6,1,7,2]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[4,3,5,6,2,1,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[4,3,5,6,2,7,1]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[4,3,5,6,7,1,2]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[4,3,5,6,7,2,1]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[4,3,5,7,1,2,6]=>[6,5,3,7,2,1,4]=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}
[4,3,5,7,1,6,2]=>[7,5,3,6,2,4,1]=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}
[4,3,5,7,2,1,6]=>[6,5,3,7,2,1,4]=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}
[4,3,5,7,2,6,1]=>[7,5,3,6,2,4,1]=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}
[4,3,5,7,6,1,2]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[4,3,5,7,6,2,1]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[4,3,6,1,2,5,7]=>[5,4,6,2,1,3,7]=>{{1,5},{2,4},{3,6},{7}}=>{{1,6},{2,4},{3,5},{7}}=>{{1,5},{2,4},{3,6},{7}}
[4,3,6,1,2,7,5]=>[5,4,7,2,1,6,3]=>{{1,5},{2,4},{3,7},{6}}=>{{1,7},{2,4},{3,5},{6}}=>{{1,5},{2,4},{3,7},{6}}
[4,3,6,1,5,2,7]=>[6,4,5,2,3,1,7]=>{{1,6},{2,4},{3,5},{7}}=>{{1,5},{2,4},{3,6},{7}}=>{{1,6},{2,4},{3,5},{7}}
[4,3,6,1,5,7,2]=>[7,4,5,2,3,6,1]=>{{1,7},{2,4},{3,5},{6}}=>{{1,5},{2,4},{3,7},{6}}=>{{1,7},{2,4},{3,5},{6}}
[4,3,6,1,7,2,5]=>[6,4,7,2,5,1,3]=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}
[4,3,6,1,7,5,2]=>[7,4,6,2,5,3,1]=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}
[4,3,6,2,1,5,7]=>[5,4,6,2,1,3,7]=>{{1,5},{2,4},{3,6},{7}}=>{{1,6},{2,4},{3,5},{7}}=>{{1,5},{2,4},{3,6},{7}}
[4,3,6,2,1,7,5]=>[5,4,7,2,1,6,3]=>{{1,5},{2,4},{3,7},{6}}=>{{1,7},{2,4},{3,5},{6}}=>{{1,5},{2,4},{3,7},{6}}
[4,3,6,2,5,1,7]=>[6,4,5,2,3,1,7]=>{{1,6},{2,4},{3,5},{7}}=>{{1,5},{2,4},{3,6},{7}}=>{{1,6},{2,4},{3,5},{7}}
[4,3,6,2,5,7,1]=>[7,4,5,2,3,6,1]=>{{1,7},{2,4},{3,5},{6}}=>{{1,5},{2,4},{3,7},{6}}=>{{1,7},{2,4},{3,5},{6}}
[4,3,6,2,7,1,5]=>[6,4,7,2,5,1,3]=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}
[4,3,6,2,7,5,1]=>[7,4,6,2,5,3,1]=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}
[4,3,6,5,1,2,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[4,3,6,5,1,7,2]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[4,3,6,5,2,1,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[4,3,6,5,2,7,1]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[4,3,6,5,7,1,2]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[4,3,6,5,7,2,1]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[4,3,6,7,1,2,5]=>[6,5,7,4,2,1,3]=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
[4,3,6,7,1,5,2]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[4,3,6,7,2,1,5]=>[6,5,7,4,2,1,3]=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
[4,3,6,7,2,5,1]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[4,3,6,7,5,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,3,6,7,5,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,3,7,1,2,5,6]=>[5,4,7,2,1,6,3]=>{{1,5},{2,4},{3,7},{6}}=>{{1,7},{2,4},{3,5},{6}}=>{{1,5},{2,4},{3,7},{6}}
[4,3,7,1,2,6,5]=>[5,4,7,2,1,6,3]=>{{1,5},{2,4},{3,7},{6}}=>{{1,7},{2,4},{3,5},{6}}=>{{1,5},{2,4},{3,7},{6}}
[4,3,7,1,5,2,6]=>[6,4,7,2,5,1,3]=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}
[4,3,7,1,5,6,2]=>[7,4,6,2,5,3,1]=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}
[4,3,7,1,6,2,5]=>[6,4,7,2,5,1,3]=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}
[4,3,7,1,6,5,2]=>[7,4,6,2,5,3,1]=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}
[4,3,7,2,1,5,6]=>[5,4,7,2,1,6,3]=>{{1,5},{2,4},{3,7},{6}}=>{{1,7},{2,4},{3,5},{6}}=>{{1,5},{2,4},{3,7},{6}}
[4,3,7,2,1,6,5]=>[5,4,7,2,1,6,3]=>{{1,5},{2,4},{3,7},{6}}=>{{1,7},{2,4},{3,5},{6}}=>{{1,5},{2,4},{3,7},{6}}
[4,3,7,2,5,1,6]=>[6,4,7,2,5,1,3]=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}
[4,3,7,2,5,6,1]=>[7,4,6,2,5,3,1]=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}
[4,3,7,2,6,1,5]=>[6,4,7,2,5,1,3]=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}
[4,3,7,2,6,5,1]=>[7,4,6,2,5,3,1]=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}
[4,3,7,5,1,2,6]=>[6,5,7,4,2,1,3]=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
[4,3,7,5,1,6,2]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[4,3,7,5,2,1,6]=>[6,5,7,4,2,1,3]=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
[4,3,7,5,2,6,1]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[4,3,7,5,6,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,3,7,5,6,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,3,7,6,1,2,5]=>[6,5,7,4,2,1,3]=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
[4,3,7,6,1,5,2]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[4,3,7,6,2,1,5]=>[6,5,7,4,2,1,3]=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
[4,3,7,6,2,5,1]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[4,3,7,6,5,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,3,7,6,5,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,5,1,2,3,6,7]=>[5,4,3,2,1,6,7]=>{{1,5},{2,4},{3},{6},{7}}=>{{1,4},{2,5},{3},{6},{7}}=>{{1,5},{2,4},{3},{6},{7}}
[4,5,1,2,3,7,6]=>[5,4,3,2,1,7,6]=>{{1,5},{2,4},{3},{6,7}}=>{{1,4},{2,5},{3},{6,7}}=>{{1,5},{2,4},{3},{6,7}}
[4,5,1,2,6,3,7]=>[6,4,3,2,5,1,7]=>{{1,6},{2,4},{3},{5},{7}}=>{{1,4},{2,6},{3},{5},{7}}=>{{1,6},{2,4},{3},{5},{7}}
[4,5,1,2,6,7,3]=>[7,4,3,2,5,6,1]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,4},{2,7},{3},{5},{6}}=>{{1,7},{2,4},{3},{5},{6}}
[4,5,1,2,7,3,6]=>[6,4,3,2,7,1,5]=>{{1,6},{2,4},{3},{5,7}}=>{{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,4},{3},{5,7}}
[4,5,1,2,7,6,3]=>[7,4,3,2,6,5,1]=>{{1,7},{2,4},{3},{5,6}}=>{{1,4},{2,6},{3},{5,7}}=>{{1,7},{2,4},{3},{5,6}}
[4,5,1,3,2,6,7]=>[5,4,3,2,1,6,7]=>{{1,5},{2,4},{3},{6},{7}}=>{{1,4},{2,5},{3},{6},{7}}=>{{1,5},{2,4},{3},{6},{7}}
[4,5,1,3,2,7,6]=>[5,4,3,2,1,7,6]=>{{1,5},{2,4},{3},{6,7}}=>{{1,4},{2,5},{3},{6,7}}=>{{1,5},{2,4},{3},{6,7}}
[4,5,1,3,6,2,7]=>[6,4,3,2,5,1,7]=>{{1,6},{2,4},{3},{5},{7}}=>{{1,4},{2,6},{3},{5},{7}}=>{{1,6},{2,4},{3},{5},{7}}
[4,5,1,3,6,7,2]=>[7,4,3,2,5,6,1]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,4},{2,7},{3},{5},{6}}=>{{1,7},{2,4},{3},{5},{6}}
[4,5,1,3,7,2,6]=>[6,4,3,2,7,1,5]=>{{1,6},{2,4},{3},{5,7}}=>{{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,4},{3},{5,7}}
[4,5,1,3,7,6,2]=>[7,4,3,2,6,5,1]=>{{1,7},{2,4},{3},{5,6}}=>{{1,4},{2,6},{3},{5,7}}=>{{1,7},{2,4},{3},{5,6}}
[4,5,1,6,2,3,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[4,5,1,6,2,7,3]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[4,5,1,6,3,2,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[4,5,1,6,3,7,2]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[4,5,1,6,7,2,3]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[4,5,1,6,7,3,2]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[4,5,1,7,2,3,6]=>[6,5,3,7,2,1,4]=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}
[4,5,1,7,2,6,3]=>[7,5,3,6,2,4,1]=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}
[4,5,1,7,3,2,6]=>[6,5,3,7,2,1,4]=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}
[4,5,1,7,3,6,2]=>[7,5,3,6,2,4,1]=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}
[4,5,1,7,6,2,3]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[4,5,1,7,6,3,2]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[4,5,2,1,3,6,7]=>[5,4,3,2,1,6,7]=>{{1,5},{2,4},{3},{6},{7}}=>{{1,4},{2,5},{3},{6},{7}}=>{{1,5},{2,4},{3},{6},{7}}
[4,5,2,1,3,7,6]=>[5,4,3,2,1,7,6]=>{{1,5},{2,4},{3},{6,7}}=>{{1,4},{2,5},{3},{6,7}}=>{{1,5},{2,4},{3},{6,7}}
[4,5,2,1,6,3,7]=>[6,4,3,2,5,1,7]=>{{1,6},{2,4},{3},{5},{7}}=>{{1,4},{2,6},{3},{5},{7}}=>{{1,6},{2,4},{3},{5},{7}}
[4,5,2,1,6,7,3]=>[7,4,3,2,5,6,1]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,4},{2,7},{3},{5},{6}}=>{{1,7},{2,4},{3},{5},{6}}
[4,5,2,1,7,3,6]=>[6,4,3,2,7,1,5]=>{{1,6},{2,4},{3},{5,7}}=>{{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,4},{3},{5,7}}
[4,5,2,1,7,6,3]=>[7,4,3,2,6,5,1]=>{{1,7},{2,4},{3},{5,6}}=>{{1,4},{2,6},{3},{5,7}}=>{{1,7},{2,4},{3},{5,6}}
[4,5,2,3,1,6,7]=>[5,4,3,2,1,6,7]=>{{1,5},{2,4},{3},{6},{7}}=>{{1,4},{2,5},{3},{6},{7}}=>{{1,5},{2,4},{3},{6},{7}}
[4,5,2,3,1,7,6]=>[5,4,3,2,1,7,6]=>{{1,5},{2,4},{3},{6,7}}=>{{1,4},{2,5},{3},{6,7}}=>{{1,5},{2,4},{3},{6,7}}
[4,5,2,3,6,1,7]=>[6,4,3,2,5,1,7]=>{{1,6},{2,4},{3},{5},{7}}=>{{1,4},{2,6},{3},{5},{7}}=>{{1,6},{2,4},{3},{5},{7}}
[4,5,2,3,6,7,1]=>[7,4,3,2,5,6,1]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,4},{2,7},{3},{5},{6}}=>{{1,7},{2,4},{3},{5},{6}}
[4,5,2,3,7,1,6]=>[6,4,3,2,7,1,5]=>{{1,6},{2,4},{3},{5,7}}=>{{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,4},{3},{5,7}}
[4,5,2,3,7,6,1]=>[7,4,3,2,6,5,1]=>{{1,7},{2,4},{3},{5,6}}=>{{1,4},{2,6},{3},{5,7}}=>{{1,7},{2,4},{3},{5,6}}
[4,5,2,6,1,3,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[4,5,2,6,1,7,3]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[4,5,2,6,3,1,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[4,5,2,6,3,7,1]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[4,5,2,6,7,1,3]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[4,5,2,6,7,3,1]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[4,5,2,7,1,3,6]=>[6,5,3,7,2,1,4]=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}
[4,5,2,7,1,6,3]=>[7,5,3,6,2,4,1]=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}
[4,5,2,7,3,1,6]=>[6,5,3,7,2,1,4]=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}
[4,5,2,7,3,6,1]=>[7,5,3,6,2,4,1]=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}
[4,5,2,7,6,1,3]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[4,5,2,7,6,3,1]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[4,5,3,1,2,6,7]=>[5,4,3,2,1,6,7]=>{{1,5},{2,4},{3},{6},{7}}=>{{1,4},{2,5},{3},{6},{7}}=>{{1,5},{2,4},{3},{6},{7}}
[4,5,3,1,2,7,6]=>[5,4,3,2,1,7,6]=>{{1,5},{2,4},{3},{6,7}}=>{{1,4},{2,5},{3},{6,7}}=>{{1,5},{2,4},{3},{6,7}}
[4,5,3,1,6,2,7]=>[6,4,3,2,5,1,7]=>{{1,6},{2,4},{3},{5},{7}}=>{{1,4},{2,6},{3},{5},{7}}=>{{1,6},{2,4},{3},{5},{7}}
[4,5,3,1,6,7,2]=>[7,4,3,2,5,6,1]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,4},{2,7},{3},{5},{6}}=>{{1,7},{2,4},{3},{5},{6}}
[4,5,3,1,7,2,6]=>[6,4,3,2,7,1,5]=>{{1,6},{2,4},{3},{5,7}}=>{{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,4},{3},{5,7}}
[4,5,3,1,7,6,2]=>[7,4,3,2,6,5,1]=>{{1,7},{2,4},{3},{5,6}}=>{{1,4},{2,6},{3},{5,7}}=>{{1,7},{2,4},{3},{5,6}}
[4,5,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>{{1,5},{2,4},{3},{6},{7}}=>{{1,4},{2,5},{3},{6},{7}}=>{{1,5},{2,4},{3},{6},{7}}
[4,5,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>{{1,5},{2,4},{3},{6,7}}=>{{1,4},{2,5},{3},{6,7}}=>{{1,5},{2,4},{3},{6,7}}
[4,5,3,2,6,1,7]=>[6,4,3,2,5,1,7]=>{{1,6},{2,4},{3},{5},{7}}=>{{1,4},{2,6},{3},{5},{7}}=>{{1,6},{2,4},{3},{5},{7}}
[4,5,3,2,6,7,1]=>[7,4,3,2,5,6,1]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,4},{2,7},{3},{5},{6}}=>{{1,7},{2,4},{3},{5},{6}}
[4,5,3,2,7,1,6]=>[6,4,3,2,7,1,5]=>{{1,6},{2,4},{3},{5,7}}=>{{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,4},{3},{5,7}}
[4,5,3,2,7,6,1]=>[7,4,3,2,6,5,1]=>{{1,7},{2,4},{3},{5,6}}=>{{1,4},{2,6},{3},{5,7}}=>{{1,7},{2,4},{3},{5,6}}
[4,5,3,6,1,2,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[4,5,3,6,1,7,2]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[4,5,3,6,2,1,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[4,5,3,6,2,7,1]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[4,5,3,6,7,1,2]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[4,5,3,6,7,2,1]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[4,5,3,7,1,2,6]=>[6,5,3,7,2,1,4]=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}
[4,5,3,7,1,6,2]=>[7,5,3,6,2,4,1]=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}
[4,5,3,7,2,1,6]=>[6,5,3,7,2,1,4]=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}
[4,5,3,7,2,6,1]=>[7,5,3,6,2,4,1]=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}
[4,5,3,7,6,1,2]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[4,5,3,7,6,2,1]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[4,5,6,1,2,3,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[4,5,6,1,2,7,3]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[4,5,6,1,3,2,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[4,5,6,1,3,7,2]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[4,5,6,1,7,2,3]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[4,5,6,1,7,3,2]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[4,5,6,2,1,3,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[4,5,6,2,1,7,3]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[4,5,6,2,3,1,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[4,5,6,2,3,7,1]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[4,5,6,2,7,1,3]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[4,5,6,2,7,3,1]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[4,5,6,3,1,2,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[4,5,6,3,1,7,2]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[4,5,6,3,2,1,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[4,5,6,3,2,7,1]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[4,5,6,3,7,1,2]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[4,5,6,3,7,2,1]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[4,5,6,7,1,2,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,5,6,7,1,3,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,5,6,7,2,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,5,6,7,2,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,5,6,7,3,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,5,6,7,3,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,5,7,1,2,3,6]=>[6,5,7,4,2,1,3]=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
[4,5,7,1,2,6,3]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[4,5,7,1,3,2,6]=>[6,5,7,4,2,1,3]=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
[4,5,7,1,3,6,2]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[4,5,7,1,6,2,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,5,7,1,6,3,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,5,7,2,1,3,6]=>[6,5,7,4,2,1,3]=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
[4,5,7,2,1,6,3]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[4,5,7,2,3,1,6]=>[6,5,7,4,2,1,3]=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
[4,5,7,2,3,6,1]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[4,5,7,2,6,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,5,7,2,6,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,5,7,3,1,2,6]=>[6,5,7,4,2,1,3]=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
[4,5,7,3,1,6,2]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[4,5,7,3,2,1,6]=>[6,5,7,4,2,1,3]=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
[4,5,7,3,2,6,1]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[4,5,7,3,6,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,5,7,3,6,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,5,7,6,1,2,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,5,7,6,1,3,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,5,7,6,2,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,5,7,6,2,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,5,7,6,3,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,5,7,6,3,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,6,1,2,3,5,7]=>[5,6,3,4,1,2,7]=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}
[4,6,1,2,3,7,5]=>[5,7,3,4,1,6,2]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}
[4,6,1,2,5,3,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[4,6,1,2,5,7,3]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[4,6,1,2,7,3,5]=>[6,7,3,4,5,1,2]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[4,6,1,2,7,5,3]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[4,6,1,3,2,5,7]=>[5,6,3,4,1,2,7]=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}
[4,6,1,3,2,7,5]=>[5,7,3,4,1,6,2]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}
[4,6,1,3,5,2,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[4,6,1,3,5,7,2]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[4,6,1,3,7,2,5]=>[6,7,3,4,5,1,2]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[4,6,1,3,7,5,2]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[4,6,1,5,2,3,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[4,6,1,5,2,7,3]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[4,6,1,5,3,2,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[4,6,1,5,3,7,2]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[4,6,1,5,7,2,3]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[4,6,1,5,7,3,2]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[4,6,1,7,2,3,5]=>[6,7,3,5,4,1,2]=>{{1,6},{2,7},{3},{4,5}}=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,7},{3},{4,5}}
[4,6,1,7,2,5,3]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[4,6,1,7,3,2,5]=>[6,7,3,5,4,1,2]=>{{1,6},{2,7},{3},{4,5}}=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,7},{3},{4,5}}
[4,6,1,7,3,5,2]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[4,6,1,7,5,2,3]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[4,6,1,7,5,3,2]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[4,6,2,1,3,5,7]=>[5,6,4,3,1,2,7]=>{{1,5},{2,6},{3,4},{7}}=>{{1,4},{2,6},{3,5},{7}}=>{{1,5},{2,6},{3,4},{7}}
[4,6,2,1,3,7,5]=>[5,7,4,3,1,6,2]=>{{1,5},{2,7},{3,4},{6}}=>{{1,4},{2,7},{3,5},{6}}=>{{1,5},{2,7},{3,4},{6}}
[4,6,2,1,5,3,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[4,6,2,1,5,7,3]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[4,6,2,1,7,3,5]=>[6,7,4,3,5,1,2]=>{{1,6},{2,7},{3,4},{5}}=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,7},{3,4},{5}}
[4,6,2,1,7,5,3]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[4,6,2,3,1,5,7]=>[5,6,4,3,1,2,7]=>{{1,5},{2,6},{3,4},{7}}=>{{1,4},{2,6},{3,5},{7}}=>{{1,5},{2,6},{3,4},{7}}
[4,6,2,3,1,7,5]=>[5,7,4,3,1,6,2]=>{{1,5},{2,7},{3,4},{6}}=>{{1,4},{2,7},{3,5},{6}}=>{{1,5},{2,7},{3,4},{6}}
[4,6,2,3,5,1,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[4,6,2,3,5,7,1]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[4,6,2,3,7,1,5]=>[6,7,4,3,5,1,2]=>{{1,6},{2,7},{3,4},{5}}=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,7},{3,4},{5}}
[4,6,2,3,7,5,1]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[4,6,2,5,1,3,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[4,6,2,5,1,7,3]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[4,6,2,5,3,1,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[4,6,2,5,3,7,1]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[4,6,2,5,7,1,3]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[4,6,2,5,7,3,1]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[4,6,2,7,1,3,5]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[4,6,2,7,1,5,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,6,2,7,3,1,5]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[4,6,2,7,3,5,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,6,2,7,5,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,6,2,7,5,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,6,3,1,2,5,7]=>[5,6,4,3,1,2,7]=>{{1,5},{2,6},{3,4},{7}}=>{{1,4},{2,6},{3,5},{7}}=>{{1,5},{2,6},{3,4},{7}}
[4,6,3,1,2,7,5]=>[5,7,4,3,1,6,2]=>{{1,5},{2,7},{3,4},{6}}=>{{1,4},{2,7},{3,5},{6}}=>{{1,5},{2,7},{3,4},{6}}
[4,6,3,1,5,2,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[4,6,3,1,5,7,2]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[4,6,3,1,7,2,5]=>[6,7,4,3,5,1,2]=>{{1,6},{2,7},{3,4},{5}}=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,7},{3,4},{5}}
[4,6,3,1,7,5,2]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[4,6,3,2,1,5,7]=>[5,6,4,3,1,2,7]=>{{1,5},{2,6},{3,4},{7}}=>{{1,4},{2,6},{3,5},{7}}=>{{1,5},{2,6},{3,4},{7}}
[4,6,3,2,1,7,5]=>[5,7,4,3,1,6,2]=>{{1,5},{2,7},{3,4},{6}}=>{{1,4},{2,7},{3,5},{6}}=>{{1,5},{2,7},{3,4},{6}}
[4,6,3,2,5,1,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[4,6,3,2,5,7,1]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[4,6,3,2,7,1,5]=>[6,7,4,3,5,1,2]=>{{1,6},{2,7},{3,4},{5}}=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,7},{3,4},{5}}
[4,6,3,2,7,5,1]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[4,6,3,5,1,2,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[4,6,3,5,1,7,2]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[4,6,3,5,2,1,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[4,6,3,5,2,7,1]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[4,6,3,5,7,1,2]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[4,6,3,5,7,2,1]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[4,6,3,7,1,2,5]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[4,6,3,7,1,5,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,6,3,7,2,1,5]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[4,6,3,7,2,5,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,6,3,7,5,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,6,3,7,5,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,6,5,1,2,3,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[4,6,5,1,2,7,3]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[4,6,5,1,3,2,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[4,6,5,1,3,7,2]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[4,6,5,1,7,2,3]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[4,6,5,1,7,3,2]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[4,6,5,2,1,3,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[4,6,5,2,1,7,3]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[4,6,5,2,3,1,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[4,6,5,2,3,7,1]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[4,6,5,2,7,1,3]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[4,6,5,2,7,3,1]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[4,6,5,3,1,2,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[4,6,5,3,1,7,2]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[4,6,5,3,2,1,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[4,6,5,3,2,7,1]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[4,6,5,3,7,1,2]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[4,6,5,3,7,2,1]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[4,6,5,7,1,2,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,6,5,7,1,3,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,6,5,7,2,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,6,5,7,2,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,6,5,7,3,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,6,5,7,3,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,6,7,1,2,3,5]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[4,6,7,1,2,5,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,6,7,1,3,2,5]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[4,6,7,1,3,5,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,6,7,1,5,2,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,6,7,1,5,3,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,6,7,2,1,3,5]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[4,6,7,2,1,5,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,6,7,2,3,1,5]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[4,6,7,2,3,5,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,6,7,2,5,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,6,7,2,5,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,6,7,3,1,2,5]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[4,6,7,3,1,5,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,6,7,3,2,1,5]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[4,6,7,3,2,5,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,6,7,3,5,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,6,7,3,5,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,6,7,5,1,2,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,6,7,5,1,3,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,6,7,5,2,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,6,7,5,2,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,6,7,5,3,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,6,7,5,3,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,7,1,2,3,5,6]=>[5,7,3,4,1,6,2]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}
[4,7,1,2,3,6,5]=>[5,7,3,4,1,6,2]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}
[4,7,1,2,5,3,6]=>[6,7,3,4,5,1,2]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[4,7,1,2,5,6,3]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[4,7,1,2,6,3,5]=>[6,7,3,4,5,1,2]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[4,7,1,2,6,5,3]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[4,7,1,3,2,5,6]=>[5,7,3,4,1,6,2]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}
[4,7,1,3,2,6,5]=>[5,7,3,4,1,6,2]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}
[4,7,1,3,5,2,6]=>[6,7,3,4,5,1,2]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[4,7,1,3,5,6,2]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[4,7,1,3,6,2,5]=>[6,7,3,4,5,1,2]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[4,7,1,3,6,5,2]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[4,7,1,5,2,3,6]=>[6,7,3,5,4,1,2]=>{{1,6},{2,7},{3},{4,5}}=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,7},{3},{4,5}}
[4,7,1,5,2,6,3]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[4,7,1,5,3,2,6]=>[6,7,3,5,4,1,2]=>{{1,6},{2,7},{3},{4,5}}=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,7},{3},{4,5}}
[4,7,1,5,3,6,2]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[4,7,1,5,6,2,3]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[4,7,1,5,6,3,2]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[4,7,1,6,2,3,5]=>[6,7,3,5,4,1,2]=>{{1,6},{2,7},{3},{4,5}}=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,7},{3},{4,5}}
[4,7,1,6,2,5,3]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[4,7,1,6,3,2,5]=>[6,7,3,5,4,1,2]=>{{1,6},{2,7},{3},{4,5}}=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,7},{3},{4,5}}
[4,7,1,6,3,5,2]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[4,7,1,6,5,2,3]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[4,7,1,6,5,3,2]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[4,7,2,1,3,5,6]=>[5,7,4,3,1,6,2]=>{{1,5},{2,7},{3,4},{6}}=>{{1,4},{2,7},{3,5},{6}}=>{{1,5},{2,7},{3,4},{6}}
[4,7,2,1,3,6,5]=>[5,7,4,3,1,6,2]=>{{1,5},{2,7},{3,4},{6}}=>{{1,4},{2,7},{3,5},{6}}=>{{1,5},{2,7},{3,4},{6}}
[4,7,2,1,5,3,6]=>[6,7,4,3,5,1,2]=>{{1,6},{2,7},{3,4},{5}}=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,7},{3,4},{5}}
[4,7,2,1,5,6,3]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[4,7,2,1,6,3,5]=>[6,7,4,3,5,1,2]=>{{1,6},{2,7},{3,4},{5}}=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,7},{3,4},{5}}
[4,7,2,1,6,5,3]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[4,7,2,3,1,5,6]=>[5,7,4,3,1,6,2]=>{{1,5},{2,7},{3,4},{6}}=>{{1,4},{2,7},{3,5},{6}}=>{{1,5},{2,7},{3,4},{6}}
[4,7,2,3,1,6,5]=>[5,7,4,3,1,6,2]=>{{1,5},{2,7},{3,4},{6}}=>{{1,4},{2,7},{3,5},{6}}=>{{1,5},{2,7},{3,4},{6}}
[4,7,2,3,5,1,6]=>[6,7,4,3,5,1,2]=>{{1,6},{2,7},{3,4},{5}}=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,7},{3,4},{5}}
[4,7,2,3,5,6,1]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[4,7,2,3,6,1,5]=>[6,7,4,3,5,1,2]=>{{1,6},{2,7},{3,4},{5}}=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,7},{3,4},{5}}
[4,7,2,3,6,5,1]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[4,7,2,5,1,3,6]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[4,7,2,5,1,6,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,7,2,5,3,1,6]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[4,7,2,5,3,6,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,7,2,5,6,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,7,2,5,6,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,7,2,6,1,3,5]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[4,7,2,6,1,5,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,7,2,6,3,1,5]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[4,7,2,6,3,5,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,7,2,6,5,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,7,2,6,5,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,7,3,1,2,5,6]=>[5,7,4,3,1,6,2]=>{{1,5},{2,7},{3,4},{6}}=>{{1,4},{2,7},{3,5},{6}}=>{{1,5},{2,7},{3,4},{6}}
[4,7,3,1,2,6,5]=>[5,7,4,3,1,6,2]=>{{1,5},{2,7},{3,4},{6}}=>{{1,4},{2,7},{3,5},{6}}=>{{1,5},{2,7},{3,4},{6}}
[4,7,3,1,5,2,6]=>[6,7,4,3,5,1,2]=>{{1,6},{2,7},{3,4},{5}}=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,7},{3,4},{5}}
[4,7,3,1,5,6,2]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[4,7,3,1,6,2,5]=>[6,7,4,3,5,1,2]=>{{1,6},{2,7},{3,4},{5}}=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,7},{3,4},{5}}
[4,7,3,1,6,5,2]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[4,7,3,2,1,5,6]=>[5,7,4,3,1,6,2]=>{{1,5},{2,7},{3,4},{6}}=>{{1,4},{2,7},{3,5},{6}}=>{{1,5},{2,7},{3,4},{6}}
[4,7,3,2,1,6,5]=>[5,7,4,3,1,6,2]=>{{1,5},{2,7},{3,4},{6}}=>{{1,4},{2,7},{3,5},{6}}=>{{1,5},{2,7},{3,4},{6}}
[4,7,3,2,5,1,6]=>[6,7,4,3,5,1,2]=>{{1,6},{2,7},{3,4},{5}}=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,7},{3,4},{5}}
[4,7,3,2,5,6,1]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[4,7,3,2,6,1,5]=>[6,7,4,3,5,1,2]=>{{1,6},{2,7},{3,4},{5}}=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,7},{3,4},{5}}
[4,7,3,2,6,5,1]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[4,7,3,5,1,2,6]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[4,7,3,5,1,6,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,7,3,5,2,1,6]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[4,7,3,5,2,6,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,7,3,5,6,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,7,3,5,6,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,7,3,6,1,2,5]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[4,7,3,6,1,5,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,7,3,6,2,1,5]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[4,7,3,6,2,5,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,7,3,6,5,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,7,3,6,5,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,7,5,1,2,3,6]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[4,7,5,1,2,6,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,7,5,1,3,2,6]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[4,7,5,1,3,6,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,7,5,1,6,2,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,7,5,1,6,3,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,7,5,2,1,3,6]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[4,7,5,2,1,6,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,7,5,2,3,1,6]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[4,7,5,2,3,6,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,7,5,2,6,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,7,5,2,6,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,7,5,3,1,2,6]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[4,7,5,3,1,6,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,7,5,3,2,1,6]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[4,7,5,3,2,6,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,7,5,3,6,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,7,5,3,6,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,7,5,6,1,2,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,7,5,6,1,3,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,7,5,6,2,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,7,5,6,2,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,7,5,6,3,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,7,5,6,3,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,7,6,1,2,3,5]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[4,7,6,1,2,5,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,7,6,1,3,2,5]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[4,7,6,1,3,5,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,7,6,1,5,2,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,7,6,1,5,3,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,7,6,2,1,3,5]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[4,7,6,2,1,5,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,7,6,2,3,1,5]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[4,7,6,2,3,5,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,7,6,2,5,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,7,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,7,6,3,1,2,5]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[4,7,6,3,1,5,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,7,6,3,2,1,5]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[4,7,6,3,2,5,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,7,6,3,5,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,7,6,3,5,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,7,6,5,1,2,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,7,6,5,1,3,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,7,6,5,2,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,7,6,5,2,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,7,6,5,3,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,7,6,5,3,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,1,2,3,4,6,7]=>[5,2,3,4,1,6,7]=>{{1,5},{2},{3},{4},{6},{7}}=>{{1,5},{2},{3},{4},{6},{7}}=>{{1,5},{2},{3},{4},{6},{7}}
[5,1,2,3,4,7,6]=>[5,2,3,4,1,7,6]=>{{1,5},{2},{3},{4},{6,7}}=>{{1,5},{2},{3},{4},{6,7}}=>{{1,5},{2},{3},{4},{6,7}}
[5,1,2,3,6,4,7]=>[6,2,3,4,5,1,7]=>{{1,6},{2},{3},{4},{5},{7}}=>{{1,6},{2},{3},{4},{5},{7}}=>{{1,6},{2},{3},{4},{5},{7}}
[5,1,2,3,6,7,4]=>[7,2,3,4,5,6,1]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5},{6}}
[5,1,2,3,7,4,6]=>[6,2,3,4,7,1,5]=>{{1,6},{2},{3},{4},{5,7}}=>{{1,7},{2},{3},{4},{5,6}}=>{{1,6},{2},{3},{4},{5,7}}
[5,1,2,3,7,6,4]=>[7,2,3,4,6,5,1]=>{{1,7},{2},{3},{4},{5,6}}=>{{1,6},{2},{3},{4},{5,7}}=>{{1,7},{2},{3},{4},{5,6}}
[5,1,2,4,3,6,7]=>[5,2,3,4,1,6,7]=>{{1,5},{2},{3},{4},{6},{7}}=>{{1,5},{2},{3},{4},{6},{7}}=>{{1,5},{2},{3},{4},{6},{7}}
[5,1,2,4,3,7,6]=>[5,2,3,4,1,7,6]=>{{1,5},{2},{3},{4},{6,7}}=>{{1,5},{2},{3},{4},{6,7}}=>{{1,5},{2},{3},{4},{6,7}}
[5,1,2,4,6,3,7]=>[6,2,3,4,5,1,7]=>{{1,6},{2},{3},{4},{5},{7}}=>{{1,6},{2},{3},{4},{5},{7}}=>{{1,6},{2},{3},{4},{5},{7}}
[5,1,2,4,6,7,3]=>[7,2,3,4,5,6,1]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5},{6}}
[5,1,2,4,7,3,6]=>[6,2,3,4,7,1,5]=>{{1,6},{2},{3},{4},{5,7}}=>{{1,7},{2},{3},{4},{5,6}}=>{{1,6},{2},{3},{4},{5,7}}
[5,1,2,4,7,6,3]=>[7,2,3,4,6,5,1]=>{{1,7},{2},{3},{4},{5,6}}=>{{1,6},{2},{3},{4},{5,7}}=>{{1,7},{2},{3},{4},{5,6}}
[5,1,2,6,3,4,7]=>[6,2,3,5,4,1,7]=>{{1,6},{2},{3},{4,5},{7}}=>{{1,5},{2},{3},{4,6},{7}}=>{{1,6},{2},{3},{4,5},{7}}
[5,1,2,6,3,7,4]=>[7,2,3,5,4,6,1]=>{{1,7},{2},{3},{4,5},{6}}=>{{1,5},{2},{3},{4,7},{6}}=>{{1,7},{2},{3},{4,5},{6}}
[5,1,2,6,4,3,7]=>[6,2,3,5,4,1,7]=>{{1,6},{2},{3},{4,5},{7}}=>{{1,5},{2},{3},{4,6},{7}}=>{{1,6},{2},{3},{4,5},{7}}
[5,1,2,6,4,7,3]=>[7,2,3,5,4,6,1]=>{{1,7},{2},{3},{4,5},{6}}=>{{1,5},{2},{3},{4,7},{6}}=>{{1,7},{2},{3},{4,5},{6}}
[5,1,2,6,7,3,4]=>[7,2,3,6,5,4,1]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,6},{2},{3},{4,7},{5}}=>{{1,7},{2},{3},{4,6},{5}}
[5,1,2,6,7,4,3]=>[7,2,3,6,5,4,1]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,6},{2},{3},{4,7},{5}}=>{{1,7},{2},{3},{4,6},{5}}
[5,1,2,7,3,4,6]=>[6,2,3,7,5,1,4]=>{{1,6},{2},{3},{4,7},{5}}=>{{1,7},{2},{3},{4,6},{5}}=>{{1,6},{2},{3},{4,7},{5}}
[5,1,2,7,3,6,4]=>[7,2,3,6,5,4,1]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,6},{2},{3},{4,7},{5}}=>{{1,7},{2},{3},{4,6},{5}}
[5,1,2,7,4,3,6]=>[6,2,3,7,5,1,4]=>{{1,6},{2},{3},{4,7},{5}}=>{{1,7},{2},{3},{4,6},{5}}=>{{1,6},{2},{3},{4,7},{5}}
[5,1,2,7,4,6,3]=>[7,2,3,6,5,4,1]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,6},{2},{3},{4,7},{5}}=>{{1,7},{2},{3},{4,6},{5}}
[5,1,2,7,6,3,4]=>[7,2,3,6,5,4,1]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,6},{2},{3},{4,7},{5}}=>{{1,7},{2},{3},{4,6},{5}}
[5,1,2,7,6,4,3]=>[7,2,3,6,5,4,1]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,6},{2},{3},{4,7},{5}}=>{{1,7},{2},{3},{4,6},{5}}
[5,1,3,2,4,6,7]=>[5,2,4,3,1,6,7]=>{{1,5},{2},{3,4},{6},{7}}=>{{1,4},{2},{3,5},{6},{7}}=>{{1,5},{2},{3,4},{6},{7}}
[5,1,3,2,4,7,6]=>[5,2,4,3,1,7,6]=>{{1,5},{2},{3,4},{6,7}}=>{{1,4},{2},{3,5},{6,7}}=>{{1,5},{2},{3,4},{6,7}}
[5,1,3,2,6,4,7]=>[6,2,4,3,5,1,7]=>{{1,6},{2},{3,4},{5},{7}}=>{{1,4},{2},{3,6},{5},{7}}=>{{1,6},{2},{3,4},{5},{7}}
[5,1,3,2,6,7,4]=>[7,2,4,3,5,6,1]=>{{1,7},{2},{3,4},{5},{6}}=>{{1,4},{2},{3,7},{5},{6}}=>{{1,7},{2},{3,4},{5},{6}}
[5,1,3,2,7,4,6]=>[6,2,4,3,7,1,5]=>{{1,6},{2},{3,4},{5,7}}=>{{1,4},{2},{3,7},{5,6}}=>{{1,6},{2},{3,4},{5,7}}
[5,1,3,2,7,6,4]=>[7,2,4,3,6,5,1]=>{{1,7},{2},{3,4},{5,6}}=>{{1,4},{2},{3,6},{5,7}}=>{{1,7},{2},{3,4},{5,6}}
[5,1,3,4,2,6,7]=>[5,2,4,3,1,6,7]=>{{1,5},{2},{3,4},{6},{7}}=>{{1,4},{2},{3,5},{6},{7}}=>{{1,5},{2},{3,4},{6},{7}}
[5,1,3,4,2,7,6]=>[5,2,4,3,1,7,6]=>{{1,5},{2},{3,4},{6,7}}=>{{1,4},{2},{3,5},{6,7}}=>{{1,5},{2},{3,4},{6,7}}
[5,1,3,4,6,2,7]=>[6,2,4,3,5,1,7]=>{{1,6},{2},{3,4},{5},{7}}=>{{1,4},{2},{3,6},{5},{7}}=>{{1,6},{2},{3,4},{5},{7}}
[5,1,3,4,6,7,2]=>[7,2,4,3,5,6,1]=>{{1,7},{2},{3,4},{5},{6}}=>{{1,4},{2},{3,7},{5},{6}}=>{{1,7},{2},{3,4},{5},{6}}
[5,1,3,4,7,2,6]=>[6,2,4,3,7,1,5]=>{{1,6},{2},{3,4},{5,7}}=>{{1,4},{2},{3,7},{5,6}}=>{{1,6},{2},{3,4},{5,7}}
[5,1,3,4,7,6,2]=>[7,2,4,3,6,5,1]=>{{1,7},{2},{3,4},{5,6}}=>{{1,4},{2},{3,6},{5,7}}=>{{1,7},{2},{3,4},{5,6}}
[5,1,3,6,2,4,7]=>[6,2,5,4,3,1,7]=>{{1,6},{2},{3,5},{4},{7}}=>{{1,5},{2},{3,6},{4},{7}}=>{{1,6},{2},{3,5},{4},{7}}
[5,1,3,6,2,7,4]=>[7,2,5,4,3,6,1]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}
[5,1,3,6,4,2,7]=>[6,2,5,4,3,1,7]=>{{1,6},{2},{3,5},{4},{7}}=>{{1,5},{2},{3,6},{4},{7}}=>{{1,6},{2},{3,5},{4},{7}}
[5,1,3,6,4,7,2]=>[7,2,5,4,3,6,1]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}
[5,1,3,6,7,2,4]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[5,1,3,6,7,4,2]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[5,1,3,7,2,4,6]=>[6,2,5,7,3,1,4]=>{{1,6},{2},{3,5},{4,7}}=>{{1,7},{2},{3,5},{4,6}}=>{{1,6},{2},{3,5},{4,7}}
[5,1,3,7,2,6,4]=>[7,2,5,6,3,4,1]=>{{1,7},{2},{3,5},{4,6}}=>{{1,6},{2},{3,5},{4,7}}=>{{1,7},{2},{3,5},{4,6}}
[5,1,3,7,4,2,6]=>[6,2,5,7,3,1,4]=>{{1,6},{2},{3,5},{4,7}}=>{{1,7},{2},{3,5},{4,6}}=>{{1,6},{2},{3,5},{4,7}}
[5,1,3,7,4,6,2]=>[7,2,5,6,3,4,1]=>{{1,7},{2},{3,5},{4,6}}=>{{1,6},{2},{3,5},{4,7}}=>{{1,7},{2},{3,5},{4,6}}
[5,1,3,7,6,2,4]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[5,1,3,7,6,4,2]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[5,1,4,2,3,6,7]=>[5,2,4,3,1,6,7]=>{{1,5},{2},{3,4},{6},{7}}=>{{1,4},{2},{3,5},{6},{7}}=>{{1,5},{2},{3,4},{6},{7}}
[5,1,4,2,3,7,6]=>[5,2,4,3,1,7,6]=>{{1,5},{2},{3,4},{6,7}}=>{{1,4},{2},{3,5},{6,7}}=>{{1,5},{2},{3,4},{6,7}}
[5,1,4,2,6,3,7]=>[6,2,4,3,5,1,7]=>{{1,6},{2},{3,4},{5},{7}}=>{{1,4},{2},{3,6},{5},{7}}=>{{1,6},{2},{3,4},{5},{7}}
[5,1,4,2,6,7,3]=>[7,2,4,3,5,6,1]=>{{1,7},{2},{3,4},{5},{6}}=>{{1,4},{2},{3,7},{5},{6}}=>{{1,7},{2},{3,4},{5},{6}}
[5,1,4,2,7,3,6]=>[6,2,4,3,7,1,5]=>{{1,6},{2},{3,4},{5,7}}=>{{1,4},{2},{3,7},{5,6}}=>{{1,6},{2},{3,4},{5,7}}
[5,1,4,2,7,6,3]=>[7,2,4,3,6,5,1]=>{{1,7},{2},{3,4},{5,6}}=>{{1,4},{2},{3,6},{5,7}}=>{{1,7},{2},{3,4},{5,6}}
[5,1,4,3,2,6,7]=>[5,2,4,3,1,6,7]=>{{1,5},{2},{3,4},{6},{7}}=>{{1,4},{2},{3,5},{6},{7}}=>{{1,5},{2},{3,4},{6},{7}}
[5,1,4,3,2,7,6]=>[5,2,4,3,1,7,6]=>{{1,5},{2},{3,4},{6,7}}=>{{1,4},{2},{3,5},{6,7}}=>{{1,5},{2},{3,4},{6,7}}
[5,1,4,3,6,2,7]=>[6,2,4,3,5,1,7]=>{{1,6},{2},{3,4},{5},{7}}=>{{1,4},{2},{3,6},{5},{7}}=>{{1,6},{2},{3,4},{5},{7}}
[5,1,4,3,6,7,2]=>[7,2,4,3,5,6,1]=>{{1,7},{2},{3,4},{5},{6}}=>{{1,4},{2},{3,7},{5},{6}}=>{{1,7},{2},{3,4},{5},{6}}
[5,1,4,3,7,2,6]=>[6,2,4,3,7,1,5]=>{{1,6},{2},{3,4},{5,7}}=>{{1,4},{2},{3,7},{5,6}}=>{{1,6},{2},{3,4},{5,7}}
[5,1,4,3,7,6,2]=>[7,2,4,3,6,5,1]=>{{1,7},{2},{3,4},{5,6}}=>{{1,4},{2},{3,6},{5,7}}=>{{1,7},{2},{3,4},{5,6}}
[5,1,4,6,2,3,7]=>[6,2,5,4,3,1,7]=>{{1,6},{2},{3,5},{4},{7}}=>{{1,5},{2},{3,6},{4},{7}}=>{{1,6},{2},{3,5},{4},{7}}
[5,1,4,6,2,7,3]=>[7,2,5,4,3,6,1]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}
[5,1,4,6,3,2,7]=>[6,2,5,4,3,1,7]=>{{1,6},{2},{3,5},{4},{7}}=>{{1,5},{2},{3,6},{4},{7}}=>{{1,6},{2},{3,5},{4},{7}}
[5,1,4,6,3,7,2]=>[7,2,5,4,3,6,1]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}
[5,1,4,6,7,2,3]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[5,1,4,6,7,3,2]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[5,1,4,7,2,3,6]=>[6,2,5,7,3,1,4]=>{{1,6},{2},{3,5},{4,7}}=>{{1,7},{2},{3,5},{4,6}}=>{{1,6},{2},{3,5},{4,7}}
[5,1,4,7,2,6,3]=>[7,2,5,6,3,4,1]=>{{1,7},{2},{3,5},{4,6}}=>{{1,6},{2},{3,5},{4,7}}=>{{1,7},{2},{3,5},{4,6}}
[5,1,4,7,3,2,6]=>[6,2,5,7,3,1,4]=>{{1,6},{2},{3,5},{4,7}}=>{{1,7},{2},{3,5},{4,6}}=>{{1,6},{2},{3,5},{4,7}}
[5,1,4,7,3,6,2]=>[7,2,5,6,3,4,1]=>{{1,7},{2},{3,5},{4,6}}=>{{1,6},{2},{3,5},{4,7}}=>{{1,7},{2},{3,5},{4,6}}
[5,1,4,7,6,2,3]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[5,1,4,7,6,3,2]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[5,1,6,2,3,4,7]=>[6,2,5,4,3,1,7]=>{{1,6},{2},{3,5},{4},{7}}=>{{1,5},{2},{3,6},{4},{7}}=>{{1,6},{2},{3,5},{4},{7}}
[5,1,6,2,3,7,4]=>[7,2,5,4,3,6,1]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}
[5,1,6,2,4,3,7]=>[6,2,5,4,3,1,7]=>{{1,6},{2},{3,5},{4},{7}}=>{{1,5},{2},{3,6},{4},{7}}=>{{1,6},{2},{3,5},{4},{7}}
[5,1,6,2,4,7,3]=>[7,2,5,4,3,6,1]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}
[5,1,6,2,7,3,4]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[5,1,6,2,7,4,3]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[5,1,6,3,2,4,7]=>[6,2,5,4,3,1,7]=>{{1,6},{2},{3,5},{4},{7}}=>{{1,5},{2},{3,6},{4},{7}}=>{{1,6},{2},{3,5},{4},{7}}
[5,1,6,3,2,7,4]=>[7,2,5,4,3,6,1]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}
[5,1,6,3,4,2,7]=>[6,2,5,4,3,1,7]=>{{1,6},{2},{3,5},{4},{7}}=>{{1,5},{2},{3,6},{4},{7}}=>{{1,6},{2},{3,5},{4},{7}}
[5,1,6,3,4,7,2]=>[7,2,5,4,3,6,1]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}
[5,1,6,3,7,2,4]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[5,1,6,3,7,4,2]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[5,1,6,4,2,3,7]=>[6,2,5,4,3,1,7]=>{{1,6},{2},{3,5},{4},{7}}=>{{1,5},{2},{3,6},{4},{7}}=>{{1,6},{2},{3,5},{4},{7}}
[5,1,6,4,2,7,3]=>[7,2,5,4,3,6,1]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}
[5,1,6,4,3,2,7]=>[6,2,5,4,3,1,7]=>{{1,6},{2},{3,5},{4},{7}}=>{{1,5},{2},{3,6},{4},{7}}=>{{1,6},{2},{3,5},{4},{7}}
[5,1,6,4,3,7,2]=>[7,2,5,4,3,6,1]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}
[5,1,6,4,7,2,3]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[5,1,6,4,7,3,2]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[5,1,6,7,2,3,4]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[5,1,6,7,2,4,3]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[5,1,6,7,3,2,4]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[5,1,6,7,3,4,2]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[5,1,6,7,4,2,3]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[5,1,6,7,4,3,2]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[5,1,7,2,3,4,6]=>[6,2,7,4,5,1,3]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}
[5,1,7,2,3,6,4]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[5,1,7,2,4,3,6]=>[6,2,7,4,5,1,3]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}
[5,1,7,2,4,6,3]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[5,1,7,2,6,3,4]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[5,1,7,2,6,4,3]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[5,1,7,3,2,4,6]=>[6,2,7,5,4,1,3]=>{{1,6},{2},{3,7},{4,5}}=>{{1,5},{2},{3,7},{4,6}}=>{{1,6},{2},{3,7},{4,5}}
[5,1,7,3,2,6,4]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[5,1,7,3,4,2,6]=>[6,2,7,5,4,1,3]=>{{1,6},{2},{3,7},{4,5}}=>{{1,5},{2},{3,7},{4,6}}=>{{1,6},{2},{3,7},{4,5}}
[5,1,7,3,4,6,2]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[5,1,7,3,6,2,4]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[5,1,7,3,6,4,2]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[5,1,7,4,2,3,6]=>[6,2,7,5,4,1,3]=>{{1,6},{2},{3,7},{4,5}}=>{{1,5},{2},{3,7},{4,6}}=>{{1,6},{2},{3,7},{4,5}}
[5,1,7,4,2,6,3]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[5,1,7,4,3,2,6]=>[6,2,7,5,4,1,3]=>{{1,6},{2},{3,7},{4,5}}=>{{1,5},{2},{3,7},{4,6}}=>{{1,6},{2},{3,7},{4,5}}
[5,1,7,4,3,6,2]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[5,1,7,4,6,2,3]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[5,1,7,4,6,3,2]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[5,1,7,6,2,3,4]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[5,1,7,6,2,4,3]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[5,1,7,6,3,2,4]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[5,1,7,6,3,4,2]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[5,1,7,6,4,2,3]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[5,1,7,6,4,3,2]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[5,2,1,3,4,6,7]=>[5,3,2,4,1,6,7]=>{{1,5},{2,3},{4},{6},{7}}=>{{1,3},{2,5},{4},{6},{7}}=>{{1,5},{2,3},{4},{6},{7}}
[5,2,1,3,4,7,6]=>[5,3,2,4,1,7,6]=>{{1,5},{2,3},{4},{6,7}}=>{{1,3},{2,5},{4},{6,7}}=>{{1,5},{2,3},{4},{6,7}}
[5,2,1,3,6,4,7]=>[6,3,2,4,5,1,7]=>{{1,6},{2,3},{4},{5},{7}}=>{{1,3},{2,6},{4},{5},{7}}=>{{1,6},{2,3},{4},{5},{7}}
[5,2,1,3,6,7,4]=>[7,3,2,4,5,6,1]=>{{1,7},{2,3},{4},{5},{6}}=>{{1,3},{2,7},{4},{5},{6}}=>{{1,7},{2,3},{4},{5},{6}}
[5,2,1,3,7,4,6]=>[6,3,2,4,7,1,5]=>{{1,6},{2,3},{4},{5,7}}=>{{1,3},{2,7},{4},{5,6}}=>{{1,6},{2,3},{4},{5,7}}
[5,2,1,3,7,6,4]=>[7,3,2,4,6,5,1]=>{{1,7},{2,3},{4},{5,6}}=>{{1,3},{2,6},{4},{5,7}}=>{{1,7},{2,3},{4},{5,6}}
[5,2,1,4,3,6,7]=>[5,3,2,4,1,6,7]=>{{1,5},{2,3},{4},{6},{7}}=>{{1,3},{2,5},{4},{6},{7}}=>{{1,5},{2,3},{4},{6},{7}}
[5,2,1,4,3,7,6]=>[5,3,2,4,1,7,6]=>{{1,5},{2,3},{4},{6,7}}=>{{1,3},{2,5},{4},{6,7}}=>{{1,5},{2,3},{4},{6,7}}
[5,2,1,4,6,3,7]=>[6,3,2,4,5,1,7]=>{{1,6},{2,3},{4},{5},{7}}=>{{1,3},{2,6},{4},{5},{7}}=>{{1,6},{2,3},{4},{5},{7}}
[5,2,1,4,6,7,3]=>[7,3,2,4,5,6,1]=>{{1,7},{2,3},{4},{5},{6}}=>{{1,3},{2,7},{4},{5},{6}}=>{{1,7},{2,3},{4},{5},{6}}
[5,2,1,4,7,3,6]=>[6,3,2,4,7,1,5]=>{{1,6},{2,3},{4},{5,7}}=>{{1,3},{2,7},{4},{5,6}}=>{{1,6},{2,3},{4},{5,7}}
[5,2,1,4,7,6,3]=>[7,3,2,4,6,5,1]=>{{1,7},{2,3},{4},{5,6}}=>{{1,3},{2,6},{4},{5,7}}=>{{1,7},{2,3},{4},{5,6}}
[5,2,1,6,3,4,7]=>[6,3,2,5,4,1,7]=>{{1,6},{2,3},{4,5},{7}}=>{{1,3},{2,5},{4,6},{7}}=>{{1,6},{2,3},{4,5},{7}}
[5,2,1,6,3,7,4]=>[7,3,2,5,4,6,1]=>{{1,7},{2,3},{4,5},{6}}=>{{1,3},{2,5},{4,7},{6}}=>{{1,7},{2,3},{4,5},{6}}
[5,2,1,6,4,3,7]=>[6,3,2,5,4,1,7]=>{{1,6},{2,3},{4,5},{7}}=>{{1,3},{2,5},{4,6},{7}}=>{{1,6},{2,3},{4,5},{7}}
[5,2,1,6,4,7,3]=>[7,3,2,5,4,6,1]=>{{1,7},{2,3},{4,5},{6}}=>{{1,3},{2,5},{4,7},{6}}=>{{1,7},{2,3},{4,5},{6}}
[5,2,1,6,7,3,4]=>[7,3,2,6,5,4,1]=>{{1,7},{2,3},{4,6},{5}}=>{{1,3},{2,6},{4,7},{5}}=>{{1,7},{2,3},{4,6},{5}}
[5,2,1,6,7,4,3]=>[7,3,2,6,5,4,1]=>{{1,7},{2,3},{4,6},{5}}=>{{1,3},{2,6},{4,7},{5}}=>{{1,7},{2,3},{4,6},{5}}
[5,2,1,7,3,4,6]=>[6,3,2,7,5,1,4]=>{{1,6},{2,3},{4,7},{5}}=>{{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,3},{4,7},{5}}
[5,2,1,7,3,6,4]=>[7,3,2,6,5,4,1]=>{{1,7},{2,3},{4,6},{5}}=>{{1,3},{2,6},{4,7},{5}}=>{{1,7},{2,3},{4,6},{5}}
[5,2,1,7,4,3,6]=>[6,3,2,7,5,1,4]=>{{1,6},{2,3},{4,7},{5}}=>{{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,3},{4,7},{5}}
[5,2,1,7,4,6,3]=>[7,3,2,6,5,4,1]=>{{1,7},{2,3},{4,6},{5}}=>{{1,3},{2,6},{4,7},{5}}=>{{1,7},{2,3},{4,6},{5}}
[5,2,1,7,6,3,4]=>[7,3,2,6,5,4,1]=>{{1,7},{2,3},{4,6},{5}}=>{{1,3},{2,6},{4,7},{5}}=>{{1,7},{2,3},{4,6},{5}}
[5,2,1,7,6,4,3]=>[7,3,2,6,5,4,1]=>{{1,7},{2,3},{4,6},{5}}=>{{1,3},{2,6},{4,7},{5}}=>{{1,7},{2,3},{4,6},{5}}
[5,2,3,1,4,6,7]=>[5,4,3,2,1,6,7]=>{{1,5},{2,4},{3},{6},{7}}=>{{1,4},{2,5},{3},{6},{7}}=>{{1,5},{2,4},{3},{6},{7}}
[5,2,3,1,4,7,6]=>[5,4,3,2,1,7,6]=>{{1,5},{2,4},{3},{6,7}}=>{{1,4},{2,5},{3},{6,7}}=>{{1,5},{2,4},{3},{6,7}}
[5,2,3,1,6,4,7]=>[6,4,3,2,5,1,7]=>{{1,6},{2,4},{3},{5},{7}}=>{{1,4},{2,6},{3},{5},{7}}=>{{1,6},{2,4},{3},{5},{7}}
[5,2,3,1,6,7,4]=>[7,4,3,2,5,6,1]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,4},{2,7},{3},{5},{6}}=>{{1,7},{2,4},{3},{5},{6}}
[5,2,3,1,7,4,6]=>[6,4,3,2,7,1,5]=>{{1,6},{2,4},{3},{5,7}}=>{{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,4},{3},{5,7}}
[5,2,3,1,7,6,4]=>[7,4,3,2,6,5,1]=>{{1,7},{2,4},{3},{5,6}}=>{{1,4},{2,6},{3},{5,7}}=>{{1,7},{2,4},{3},{5,6}}
[5,2,3,4,1,6,7]=>[5,4,3,2,1,6,7]=>{{1,5},{2,4},{3},{6},{7}}=>{{1,4},{2,5},{3},{6},{7}}=>{{1,5},{2,4},{3},{6},{7}}
[5,2,3,4,1,7,6]=>[5,4,3,2,1,7,6]=>{{1,5},{2,4},{3},{6,7}}=>{{1,4},{2,5},{3},{6,7}}=>{{1,5},{2,4},{3},{6,7}}
[5,2,3,4,6,1,7]=>[6,4,3,2,5,1,7]=>{{1,6},{2,4},{3},{5},{7}}=>{{1,4},{2,6},{3},{5},{7}}=>{{1,6},{2,4},{3},{5},{7}}
[5,2,3,4,6,7,1]=>[7,4,3,2,5,6,1]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,4},{2,7},{3},{5},{6}}=>{{1,7},{2,4},{3},{5},{6}}
[5,2,3,4,7,1,6]=>[6,4,3,2,7,1,5]=>{{1,6},{2,4},{3},{5,7}}=>{{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,4},{3},{5,7}}
[5,2,3,4,7,6,1]=>[7,4,3,2,6,5,1]=>{{1,7},{2,4},{3},{5,6}}=>{{1,4},{2,6},{3},{5,7}}=>{{1,7},{2,4},{3},{5,6}}
[5,2,3,6,1,4,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[5,2,3,6,1,7,4]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[5,2,3,6,4,1,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[5,2,3,6,4,7,1]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[5,2,3,6,7,1,4]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[5,2,3,6,7,4,1]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[5,2,3,7,1,4,6]=>[6,5,3,7,2,1,4]=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}
[5,2,3,7,1,6,4]=>[7,5,3,6,2,4,1]=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}
[5,2,3,7,4,1,6]=>[6,5,3,7,2,1,4]=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}
[5,2,3,7,4,6,1]=>[7,5,3,6,2,4,1]=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}
[5,2,3,7,6,1,4]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[5,2,3,7,6,4,1]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[5,2,4,1,3,6,7]=>[5,4,3,2,1,6,7]=>{{1,5},{2,4},{3},{6},{7}}=>{{1,4},{2,5},{3},{6},{7}}=>{{1,5},{2,4},{3},{6},{7}}
[5,2,4,1,3,7,6]=>[5,4,3,2,1,7,6]=>{{1,5},{2,4},{3},{6,7}}=>{{1,4},{2,5},{3},{6,7}}=>{{1,5},{2,4},{3},{6,7}}
[5,2,4,1,6,3,7]=>[6,4,3,2,5,1,7]=>{{1,6},{2,4},{3},{5},{7}}=>{{1,4},{2,6},{3},{5},{7}}=>{{1,6},{2,4},{3},{5},{7}}
[5,2,4,1,6,7,3]=>[7,4,3,2,5,6,1]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,4},{2,7},{3},{5},{6}}=>{{1,7},{2,4},{3},{5},{6}}
[5,2,4,1,7,3,6]=>[6,4,3,2,7,1,5]=>{{1,6},{2,4},{3},{5,7}}=>{{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,4},{3},{5,7}}
[5,2,4,1,7,6,3]=>[7,4,3,2,6,5,1]=>{{1,7},{2,4},{3},{5,6}}=>{{1,4},{2,6},{3},{5,7}}=>{{1,7},{2,4},{3},{5,6}}
[5,2,4,3,1,6,7]=>[5,4,3,2,1,6,7]=>{{1,5},{2,4},{3},{6},{7}}=>{{1,4},{2,5},{3},{6},{7}}=>{{1,5},{2,4},{3},{6},{7}}
[5,2,4,3,1,7,6]=>[5,4,3,2,1,7,6]=>{{1,5},{2,4},{3},{6,7}}=>{{1,4},{2,5},{3},{6,7}}=>{{1,5},{2,4},{3},{6,7}}
[5,2,4,3,6,1,7]=>[6,4,3,2,5,1,7]=>{{1,6},{2,4},{3},{5},{7}}=>{{1,4},{2,6},{3},{5},{7}}=>{{1,6},{2,4},{3},{5},{7}}
[5,2,4,3,6,7,1]=>[7,4,3,2,5,6,1]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,4},{2,7},{3},{5},{6}}=>{{1,7},{2,4},{3},{5},{6}}
[5,2,4,3,7,1,6]=>[6,4,3,2,7,1,5]=>{{1,6},{2,4},{3},{5,7}}=>{{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,4},{3},{5,7}}
[5,2,4,3,7,6,1]=>[7,4,3,2,6,5,1]=>{{1,7},{2,4},{3},{5,6}}=>{{1,4},{2,6},{3},{5,7}}=>{{1,7},{2,4},{3},{5,6}}
[5,2,4,6,1,3,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[5,2,4,6,1,7,3]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[5,2,4,6,3,1,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[5,2,4,6,3,7,1]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[5,2,4,6,7,1,3]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[5,2,4,6,7,3,1]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[5,2,4,7,1,3,6]=>[6,5,3,7,2,1,4]=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}
[5,2,4,7,1,6,3]=>[7,5,3,6,2,4,1]=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}
[5,2,4,7,3,1,6]=>[6,5,3,7,2,1,4]=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}
[5,2,4,7,3,6,1]=>[7,5,3,6,2,4,1]=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}
[5,2,4,7,6,1,3]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[5,2,4,7,6,3,1]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[5,2,6,1,3,4,7]=>[6,4,5,2,3,1,7]=>{{1,6},{2,4},{3,5},{7}}=>{{1,5},{2,4},{3,6},{7}}=>{{1,6},{2,4},{3,5},{7}}
[5,2,6,1,3,7,4]=>[7,4,5,2,3,6,1]=>{{1,7},{2,4},{3,5},{6}}=>{{1,5},{2,4},{3,7},{6}}=>{{1,7},{2,4},{3,5},{6}}
[5,2,6,1,4,3,7]=>[6,4,5,2,3,1,7]=>{{1,6},{2,4},{3,5},{7}}=>{{1,5},{2,4},{3,6},{7}}=>{{1,6},{2,4},{3,5},{7}}
[5,2,6,1,4,7,3]=>[7,4,5,2,3,6,1]=>{{1,7},{2,4},{3,5},{6}}=>{{1,5},{2,4},{3,7},{6}}=>{{1,7},{2,4},{3,5},{6}}
[5,2,6,1,7,3,4]=>[7,4,6,2,5,3,1]=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}
[5,2,6,1,7,4,3]=>[7,4,6,2,5,3,1]=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}
[5,2,6,3,1,4,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[5,2,6,3,1,7,4]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[5,2,6,3,4,1,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[5,2,6,3,4,7,1]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[5,2,6,3,7,1,4]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[5,2,6,3,7,4,1]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[5,2,6,4,1,3,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[5,2,6,4,1,7,3]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[5,2,6,4,3,1,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[5,2,6,4,3,7,1]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[5,2,6,4,7,1,3]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[5,2,6,4,7,3,1]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[5,2,6,7,1,3,4]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[5,2,6,7,1,4,3]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[5,2,6,7,3,1,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,2,6,7,3,4,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,2,6,7,4,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,2,6,7,4,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,2,7,1,3,4,6]=>[6,4,7,2,5,1,3]=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}
[5,2,7,1,3,6,4]=>[7,4,6,2,5,3,1]=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}
[5,2,7,1,4,3,6]=>[6,4,7,2,5,1,3]=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}
[5,2,7,1,4,6,3]=>[7,4,6,2,5,3,1]=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}
[5,2,7,1,6,3,4]=>[7,4,6,2,5,3,1]=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}
[5,2,7,1,6,4,3]=>[7,4,6,2,5,3,1]=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}
[5,2,7,3,1,4,6]=>[6,5,7,4,2,1,3]=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
[5,2,7,3,1,6,4]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[5,2,7,3,4,1,6]=>[6,5,7,4,2,1,3]=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
[5,2,7,3,4,6,1]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[5,2,7,3,6,1,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,2,7,3,6,4,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,2,7,4,1,3,6]=>[6,5,7,4,2,1,3]=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
[5,2,7,4,1,6,3]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[5,2,7,4,3,1,6]=>[6,5,7,4,2,1,3]=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
[5,2,7,4,3,6,1]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[5,2,7,4,6,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,2,7,4,6,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,2,7,6,1,3,4]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[5,2,7,6,1,4,3]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[5,2,7,6,3,1,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,2,7,6,3,4,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,2,7,6,4,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,2,7,6,4,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,3,1,2,4,6,7]=>[5,4,3,2,1,6,7]=>{{1,5},{2,4},{3},{6},{7}}=>{{1,4},{2,5},{3},{6},{7}}=>{{1,5},{2,4},{3},{6},{7}}
[5,3,1,2,4,7,6]=>[5,4,3,2,1,7,6]=>{{1,5},{2,4},{3},{6,7}}=>{{1,4},{2,5},{3},{6,7}}=>{{1,5},{2,4},{3},{6,7}}
[5,3,1,2,6,4,7]=>[6,4,3,2,5,1,7]=>{{1,6},{2,4},{3},{5},{7}}=>{{1,4},{2,6},{3},{5},{7}}=>{{1,6},{2,4},{3},{5},{7}}
[5,3,1,2,6,7,4]=>[7,4,3,2,5,6,1]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,4},{2,7},{3},{5},{6}}=>{{1,7},{2,4},{3},{5},{6}}
[5,3,1,2,7,4,6]=>[6,4,3,2,7,1,5]=>{{1,6},{2,4},{3},{5,7}}=>{{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,4},{3},{5,7}}
[5,3,1,2,7,6,4]=>[7,4,3,2,6,5,1]=>{{1,7},{2,4},{3},{5,6}}=>{{1,4},{2,6},{3},{5,7}}=>{{1,7},{2,4},{3},{5,6}}
[5,3,1,4,2,6,7]=>[5,4,3,2,1,6,7]=>{{1,5},{2,4},{3},{6},{7}}=>{{1,4},{2,5},{3},{6},{7}}=>{{1,5},{2,4},{3},{6},{7}}
[5,3,1,4,2,7,6]=>[5,4,3,2,1,7,6]=>{{1,5},{2,4},{3},{6,7}}=>{{1,4},{2,5},{3},{6,7}}=>{{1,5},{2,4},{3},{6,7}}
[5,3,1,4,6,2,7]=>[6,4,3,2,5,1,7]=>{{1,6},{2,4},{3},{5},{7}}=>{{1,4},{2,6},{3},{5},{7}}=>{{1,6},{2,4},{3},{5},{7}}
[5,3,1,4,6,7,2]=>[7,4,3,2,5,6,1]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,4},{2,7},{3},{5},{6}}=>{{1,7},{2,4},{3},{5},{6}}
[5,3,1,4,7,2,6]=>[6,4,3,2,7,1,5]=>{{1,6},{2,4},{3},{5,7}}=>{{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,4},{3},{5,7}}
[5,3,1,4,7,6,2]=>[7,4,3,2,6,5,1]=>{{1,7},{2,4},{3},{5,6}}=>{{1,4},{2,6},{3},{5,7}}=>{{1,7},{2,4},{3},{5,6}}
[5,3,1,6,2,4,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[5,3,1,6,2,7,4]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[5,3,1,6,4,2,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[5,3,1,6,4,7,2]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[5,3,1,6,7,2,4]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[5,3,1,6,7,4,2]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[5,3,1,7,2,4,6]=>[6,5,3,7,2,1,4]=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}
[5,3,1,7,2,6,4]=>[7,5,3,6,2,4,1]=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}
[5,3,1,7,4,2,6]=>[6,5,3,7,2,1,4]=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}
[5,3,1,7,4,6,2]=>[7,5,3,6,2,4,1]=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}
[5,3,1,7,6,2,4]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[5,3,1,7,6,4,2]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[5,3,2,1,4,6,7]=>[5,4,3,2,1,6,7]=>{{1,5},{2,4},{3},{6},{7}}=>{{1,4},{2,5},{3},{6},{7}}=>{{1,5},{2,4},{3},{6},{7}}
[5,3,2,1,4,7,6]=>[5,4,3,2,1,7,6]=>{{1,5},{2,4},{3},{6,7}}=>{{1,4},{2,5},{3},{6,7}}=>{{1,5},{2,4},{3},{6,7}}
[5,3,2,1,6,4,7]=>[6,4,3,2,5,1,7]=>{{1,6},{2,4},{3},{5},{7}}=>{{1,4},{2,6},{3},{5},{7}}=>{{1,6},{2,4},{3},{5},{7}}
[5,3,2,1,6,7,4]=>[7,4,3,2,5,6,1]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,4},{2,7},{3},{5},{6}}=>{{1,7},{2,4},{3},{5},{6}}
[5,3,2,1,7,4,6]=>[6,4,3,2,7,1,5]=>{{1,6},{2,4},{3},{5,7}}=>{{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,4},{3},{5,7}}
[5,3,2,1,7,6,4]=>[7,4,3,2,6,5,1]=>{{1,7},{2,4},{3},{5,6}}=>{{1,4},{2,6},{3},{5,7}}=>{{1,7},{2,4},{3},{5,6}}
[5,3,2,4,1,6,7]=>[5,4,3,2,1,6,7]=>{{1,5},{2,4},{3},{6},{7}}=>{{1,4},{2,5},{3},{6},{7}}=>{{1,5},{2,4},{3},{6},{7}}
[5,3,2,4,1,7,6]=>[5,4,3,2,1,7,6]=>{{1,5},{2,4},{3},{6,7}}=>{{1,4},{2,5},{3},{6,7}}=>{{1,5},{2,4},{3},{6,7}}
[5,3,2,4,6,1,7]=>[6,4,3,2,5,1,7]=>{{1,6},{2,4},{3},{5},{7}}=>{{1,4},{2,6},{3},{5},{7}}=>{{1,6},{2,4},{3},{5},{7}}
[5,3,2,4,6,7,1]=>[7,4,3,2,5,6,1]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,4},{2,7},{3},{5},{6}}=>{{1,7},{2,4},{3},{5},{6}}
[5,3,2,4,7,1,6]=>[6,4,3,2,7,1,5]=>{{1,6},{2,4},{3},{5,7}}=>{{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,4},{3},{5,7}}
[5,3,2,4,7,6,1]=>[7,4,3,2,6,5,1]=>{{1,7},{2,4},{3},{5,6}}=>{{1,4},{2,6},{3},{5,7}}=>{{1,7},{2,4},{3},{5,6}}
[5,3,2,6,1,4,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[5,3,2,6,1,7,4]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[5,3,2,6,4,1,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[5,3,2,6,4,7,1]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[5,3,2,6,7,1,4]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[5,3,2,6,7,4,1]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[5,3,2,7,1,4,6]=>[6,5,3,7,2,1,4]=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}
[5,3,2,7,1,6,4]=>[7,5,3,6,2,4,1]=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}
[5,3,2,7,4,1,6]=>[6,5,3,7,2,1,4]=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}
[5,3,2,7,4,6,1]=>[7,5,3,6,2,4,1]=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}
[5,3,2,7,6,1,4]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[5,3,2,7,6,4,1]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[5,3,4,1,2,6,7]=>[5,4,3,2,1,6,7]=>{{1,5},{2,4},{3},{6},{7}}=>{{1,4},{2,5},{3},{6},{7}}=>{{1,5},{2,4},{3},{6},{7}}
[5,3,4,1,2,7,6]=>[5,4,3,2,1,7,6]=>{{1,5},{2,4},{3},{6,7}}=>{{1,4},{2,5},{3},{6,7}}=>{{1,5},{2,4},{3},{6,7}}
[5,3,4,1,6,2,7]=>[6,4,3,2,5,1,7]=>{{1,6},{2,4},{3},{5},{7}}=>{{1,4},{2,6},{3},{5},{7}}=>{{1,6},{2,4},{3},{5},{7}}
[5,3,4,1,6,7,2]=>[7,4,3,2,5,6,1]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,4},{2,7},{3},{5},{6}}=>{{1,7},{2,4},{3},{5},{6}}
[5,3,4,1,7,2,6]=>[6,4,3,2,7,1,5]=>{{1,6},{2,4},{3},{5,7}}=>{{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,4},{3},{5,7}}
[5,3,4,1,7,6,2]=>[7,4,3,2,6,5,1]=>{{1,7},{2,4},{3},{5,6}}=>{{1,4},{2,6},{3},{5,7}}=>{{1,7},{2,4},{3},{5,6}}
[5,3,4,2,1,6,7]=>[5,4,3,2,1,6,7]=>{{1,5},{2,4},{3},{6},{7}}=>{{1,4},{2,5},{3},{6},{7}}=>{{1,5},{2,4},{3},{6},{7}}
[5,3,4,2,1,7,6]=>[5,4,3,2,1,7,6]=>{{1,5},{2,4},{3},{6,7}}=>{{1,4},{2,5},{3},{6,7}}=>{{1,5},{2,4},{3},{6,7}}
[5,3,4,2,6,1,7]=>[6,4,3,2,5,1,7]=>{{1,6},{2,4},{3},{5},{7}}=>{{1,4},{2,6},{3},{5},{7}}=>{{1,6},{2,4},{3},{5},{7}}
[5,3,4,2,6,7,1]=>[7,4,3,2,5,6,1]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,4},{2,7},{3},{5},{6}}=>{{1,7},{2,4},{3},{5},{6}}
[5,3,4,2,7,1,6]=>[6,4,3,2,7,1,5]=>{{1,6},{2,4},{3},{5,7}}=>{{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,4},{3},{5,7}}
[5,3,4,2,7,6,1]=>[7,4,3,2,6,5,1]=>{{1,7},{2,4},{3},{5,6}}=>{{1,4},{2,6},{3},{5,7}}=>{{1,7},{2,4},{3},{5,6}}
[5,3,4,6,1,2,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[5,3,4,6,1,7,2]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[5,3,4,6,2,1,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[5,3,4,6,2,7,1]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[5,3,4,6,7,1,2]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[5,3,4,6,7,2,1]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[5,3,4,7,1,2,6]=>[6,5,3,7,2,1,4]=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}
[5,3,4,7,1,6,2]=>[7,5,3,6,2,4,1]=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}
[5,3,4,7,2,1,6]=>[6,5,3,7,2,1,4]=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}
[5,3,4,7,2,6,1]=>[7,5,3,6,2,4,1]=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}
[5,3,4,7,6,1,2]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[5,3,4,7,6,2,1]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[5,3,6,1,2,4,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[5,3,6,1,2,7,4]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[5,3,6,1,4,2,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[5,3,6,1,4,7,2]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[5,3,6,1,7,2,4]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[5,3,6,1,7,4,2]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[5,3,6,2,1,4,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[5,3,6,2,1,7,4]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[5,3,6,2,4,1,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[5,3,6,2,4,7,1]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[5,3,6,2,7,1,4]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[5,3,6,2,7,4,1]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[5,3,6,4,1,2,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[5,3,6,4,1,7,2]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[5,3,6,4,2,1,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[5,3,6,4,2,7,1]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[5,3,6,4,7,1,2]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[5,3,6,4,7,2,1]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[5,3,6,7,1,2,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,3,6,7,1,4,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,3,6,7,2,1,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,3,6,7,2,4,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,3,6,7,4,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,3,6,7,4,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,3,7,1,2,4,6]=>[6,5,7,4,2,1,3]=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
[5,3,7,1,2,6,4]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[5,3,7,1,4,2,6]=>[6,5,7,4,2,1,3]=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
[5,3,7,1,4,6,2]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[5,3,7,1,6,2,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,3,7,1,6,4,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,3,7,2,1,4,6]=>[6,5,7,4,2,1,3]=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
[5,3,7,2,1,6,4]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[5,3,7,2,4,1,6]=>[6,5,7,4,2,1,3]=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
[5,3,7,2,4,6,1]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[5,3,7,2,6,1,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,3,7,2,6,4,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,3,7,4,1,2,6]=>[6,5,7,4,2,1,3]=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
[5,3,7,4,1,6,2]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[5,3,7,4,2,1,6]=>[6,5,7,4,2,1,3]=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
[5,3,7,4,2,6,1]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[5,3,7,4,6,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,3,7,4,6,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,3,7,6,1,2,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,3,7,6,1,4,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,3,7,6,2,1,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,3,7,6,2,4,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,3,7,6,4,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,3,7,6,4,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,4,1,2,3,6,7]=>[5,4,3,2,1,6,7]=>{{1,5},{2,4},{3},{6},{7}}=>{{1,4},{2,5},{3},{6},{7}}=>{{1,5},{2,4},{3},{6},{7}}
[5,4,1,2,3,7,6]=>[5,4,3,2,1,7,6]=>{{1,5},{2,4},{3},{6,7}}=>{{1,4},{2,5},{3},{6,7}}=>{{1,5},{2,4},{3},{6,7}}
[5,4,1,2,6,3,7]=>[6,4,3,2,5,1,7]=>{{1,6},{2,4},{3},{5},{7}}=>{{1,4},{2,6},{3},{5},{7}}=>{{1,6},{2,4},{3},{5},{7}}
[5,4,1,2,6,7,3]=>[7,4,3,2,5,6,1]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,4},{2,7},{3},{5},{6}}=>{{1,7},{2,4},{3},{5},{6}}
[5,4,1,2,7,3,6]=>[6,4,3,2,7,1,5]=>{{1,6},{2,4},{3},{5,7}}=>{{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,4},{3},{5,7}}
[5,4,1,2,7,6,3]=>[7,4,3,2,6,5,1]=>{{1,7},{2,4},{3},{5,6}}=>{{1,4},{2,6},{3},{5,7}}=>{{1,7},{2,4},{3},{5,6}}
[5,4,1,3,2,6,7]=>[5,4,3,2,1,6,7]=>{{1,5},{2,4},{3},{6},{7}}=>{{1,4},{2,5},{3},{6},{7}}=>{{1,5},{2,4},{3},{6},{7}}
[5,4,1,3,2,7,6]=>[5,4,3,2,1,7,6]=>{{1,5},{2,4},{3},{6,7}}=>{{1,4},{2,5},{3},{6,7}}=>{{1,5},{2,4},{3},{6,7}}
[5,4,1,3,6,2,7]=>[6,4,3,2,5,1,7]=>{{1,6},{2,4},{3},{5},{7}}=>{{1,4},{2,6},{3},{5},{7}}=>{{1,6},{2,4},{3},{5},{7}}
[5,4,1,3,6,7,2]=>[7,4,3,2,5,6,1]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,4},{2,7},{3},{5},{6}}=>{{1,7},{2,4},{3},{5},{6}}
[5,4,1,3,7,2,6]=>[6,4,3,2,7,1,5]=>{{1,6},{2,4},{3},{5,7}}=>{{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,4},{3},{5,7}}
[5,4,1,3,7,6,2]=>[7,4,3,2,6,5,1]=>{{1,7},{2,4},{3},{5,6}}=>{{1,4},{2,6},{3},{5,7}}=>{{1,7},{2,4},{3},{5,6}}
[5,4,1,6,2,3,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[5,4,1,6,2,7,3]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[5,4,1,6,3,2,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[5,4,1,6,3,7,2]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[5,4,1,6,7,2,3]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[5,4,1,6,7,3,2]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[5,4,1,7,2,3,6]=>[6,5,3,7,2,1,4]=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}
[5,4,1,7,2,6,3]=>[7,5,3,6,2,4,1]=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}
[5,4,1,7,3,2,6]=>[6,5,3,7,2,1,4]=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}
[5,4,1,7,3,6,2]=>[7,5,3,6,2,4,1]=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}
[5,4,1,7,6,2,3]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[5,4,1,7,6,3,2]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[5,4,2,1,3,6,7]=>[5,4,3,2,1,6,7]=>{{1,5},{2,4},{3},{6},{7}}=>{{1,4},{2,5},{3},{6},{7}}=>{{1,5},{2,4},{3},{6},{7}}
[5,4,2,1,3,7,6]=>[5,4,3,2,1,7,6]=>{{1,5},{2,4},{3},{6,7}}=>{{1,4},{2,5},{3},{6,7}}=>{{1,5},{2,4},{3},{6,7}}
[5,4,2,1,6,3,7]=>[6,4,3,2,5,1,7]=>{{1,6},{2,4},{3},{5},{7}}=>{{1,4},{2,6},{3},{5},{7}}=>{{1,6},{2,4},{3},{5},{7}}
[5,4,2,1,6,7,3]=>[7,4,3,2,5,6,1]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,4},{2,7},{3},{5},{6}}=>{{1,7},{2,4},{3},{5},{6}}
[5,4,2,1,7,3,6]=>[6,4,3,2,7,1,5]=>{{1,6},{2,4},{3},{5,7}}=>{{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,4},{3},{5,7}}
[5,4,2,1,7,6,3]=>[7,4,3,2,6,5,1]=>{{1,7},{2,4},{3},{5,6}}=>{{1,4},{2,6},{3},{5,7}}=>{{1,7},{2,4},{3},{5,6}}
[5,4,2,3,1,6,7]=>[5,4,3,2,1,6,7]=>{{1,5},{2,4},{3},{6},{7}}=>{{1,4},{2,5},{3},{6},{7}}=>{{1,5},{2,4},{3},{6},{7}}
[5,4,2,3,1,7,6]=>[5,4,3,2,1,7,6]=>{{1,5},{2,4},{3},{6,7}}=>{{1,4},{2,5},{3},{6,7}}=>{{1,5},{2,4},{3},{6,7}}
[5,4,2,3,6,1,7]=>[6,4,3,2,5,1,7]=>{{1,6},{2,4},{3},{5},{7}}=>{{1,4},{2,6},{3},{5},{7}}=>{{1,6},{2,4},{3},{5},{7}}
[5,4,2,3,6,7,1]=>[7,4,3,2,5,6,1]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,4},{2,7},{3},{5},{6}}=>{{1,7},{2,4},{3},{5},{6}}
[5,4,2,3,7,1,6]=>[6,4,3,2,7,1,5]=>{{1,6},{2,4},{3},{5,7}}=>{{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,4},{3},{5,7}}
[5,4,2,3,7,6,1]=>[7,4,3,2,6,5,1]=>{{1,7},{2,4},{3},{5,6}}=>{{1,4},{2,6},{3},{5,7}}=>{{1,7},{2,4},{3},{5,6}}
[5,4,2,6,1,3,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[5,4,2,6,1,7,3]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[5,4,2,6,3,1,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[5,4,2,6,3,7,1]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[5,4,2,6,7,1,3]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[5,4,2,6,7,3,1]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[5,4,2,7,1,3,6]=>[6,5,3,7,2,1,4]=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}
[5,4,2,7,1,6,3]=>[7,5,3,6,2,4,1]=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}
[5,4,2,7,3,1,6]=>[6,5,3,7,2,1,4]=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}
[5,4,2,7,3,6,1]=>[7,5,3,6,2,4,1]=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}
[5,4,2,7,6,1,3]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[5,4,2,7,6,3,1]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[5,4,3,1,2,6,7]=>[5,4,3,2,1,6,7]=>{{1,5},{2,4},{3},{6},{7}}=>{{1,4},{2,5},{3},{6},{7}}=>{{1,5},{2,4},{3},{6},{7}}
[5,4,3,1,2,7,6]=>[5,4,3,2,1,7,6]=>{{1,5},{2,4},{3},{6,7}}=>{{1,4},{2,5},{3},{6,7}}=>{{1,5},{2,4},{3},{6,7}}
[5,4,3,1,6,2,7]=>[6,4,3,2,5,1,7]=>{{1,6},{2,4},{3},{5},{7}}=>{{1,4},{2,6},{3},{5},{7}}=>{{1,6},{2,4},{3},{5},{7}}
[5,4,3,1,6,7,2]=>[7,4,3,2,5,6,1]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,4},{2,7},{3},{5},{6}}=>{{1,7},{2,4},{3},{5},{6}}
[5,4,3,1,7,2,6]=>[6,4,3,2,7,1,5]=>{{1,6},{2,4},{3},{5,7}}=>{{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,4},{3},{5,7}}
[5,4,3,1,7,6,2]=>[7,4,3,2,6,5,1]=>{{1,7},{2,4},{3},{5,6}}=>{{1,4},{2,6},{3},{5,7}}=>{{1,7},{2,4},{3},{5,6}}
[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>{{1,5},{2,4},{3},{6},{7}}=>{{1,4},{2,5},{3},{6},{7}}=>{{1,5},{2,4},{3},{6},{7}}
[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>{{1,5},{2,4},{3},{6,7}}=>{{1,4},{2,5},{3},{6,7}}=>{{1,5},{2,4},{3},{6,7}}
[5,4,3,2,6,1,7]=>[6,4,3,2,5,1,7]=>{{1,6},{2,4},{3},{5},{7}}=>{{1,4},{2,6},{3},{5},{7}}=>{{1,6},{2,4},{3},{5},{7}}
[5,4,3,2,6,7,1]=>[7,4,3,2,5,6,1]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,4},{2,7},{3},{5},{6}}=>{{1,7},{2,4},{3},{5},{6}}
[5,4,3,2,7,1,6]=>[6,4,3,2,7,1,5]=>{{1,6},{2,4},{3},{5,7}}=>{{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,4},{3},{5,7}}
[5,4,3,2,7,6,1]=>[7,4,3,2,6,5,1]=>{{1,7},{2,4},{3},{5,6}}=>{{1,4},{2,6},{3},{5,7}}=>{{1,7},{2,4},{3},{5,6}}
[5,4,3,6,1,2,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[5,4,3,6,1,7,2]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[5,4,3,6,2,1,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[5,4,3,6,2,7,1]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[5,4,3,6,7,1,2]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[5,4,3,6,7,2,1]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[5,4,3,7,1,2,6]=>[6,5,3,7,2,1,4]=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}
[5,4,3,7,1,6,2]=>[7,5,3,6,2,4,1]=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}
[5,4,3,7,2,1,6]=>[6,5,3,7,2,1,4]=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}
[5,4,3,7,2,6,1]=>[7,5,3,6,2,4,1]=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}
[5,4,3,7,6,1,2]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[5,4,3,7,6,2,1]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[5,4,6,1,2,3,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[5,4,6,1,2,7,3]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[5,4,6,1,3,2,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[5,4,6,1,3,7,2]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[5,4,6,1,7,2,3]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[5,4,6,1,7,3,2]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[5,4,6,2,1,3,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[5,4,6,2,1,7,3]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[5,4,6,2,3,1,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[5,4,6,2,3,7,1]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[5,4,6,2,7,1,3]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[5,4,6,2,7,3,1]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[5,4,6,3,1,2,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[5,4,6,3,1,7,2]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[5,4,6,3,2,1,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[5,4,6,3,2,7,1]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[5,4,6,3,7,1,2]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[5,4,6,3,7,2,1]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[5,4,6,7,1,2,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,4,6,7,1,3,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,4,6,7,2,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,4,6,7,2,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,4,6,7,3,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,4,6,7,3,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,4,7,1,2,3,6]=>[6,5,7,4,2,1,3]=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
[5,4,7,1,2,6,3]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[5,4,7,1,3,2,6]=>[6,5,7,4,2,1,3]=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
[5,4,7,1,3,6,2]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[5,4,7,1,6,2,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,4,7,1,6,3,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,4,7,2,1,3,6]=>[6,5,7,4,2,1,3]=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
[5,4,7,2,1,6,3]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[5,4,7,2,3,1,6]=>[6,5,7,4,2,1,3]=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
[5,4,7,2,3,6,1]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[5,4,7,2,6,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,4,7,2,6,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,4,7,3,1,2,6]=>[6,5,7,4,2,1,3]=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
[5,4,7,3,1,6,2]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[5,4,7,3,2,1,6]=>[6,5,7,4,2,1,3]=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
[5,4,7,3,2,6,1]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[5,4,7,3,6,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,4,7,3,6,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,4,7,6,1,2,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,4,7,6,1,3,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,4,7,6,2,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,4,7,6,2,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,4,7,6,3,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,4,7,6,3,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,6,1,2,3,4,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[5,6,1,2,3,7,4]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[5,6,1,2,4,3,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[5,6,1,2,4,7,3]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[5,6,1,2,7,3,4]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[5,6,1,2,7,4,3]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[5,6,1,3,2,4,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[5,6,1,3,2,7,4]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[5,6,1,3,4,2,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[5,6,1,3,4,7,2]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[5,6,1,3,7,2,4]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[5,6,1,3,7,4,2]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[5,6,1,4,2,3,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[5,6,1,4,2,7,3]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[5,6,1,4,3,2,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[5,6,1,4,3,7,2]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[5,6,1,4,7,2,3]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[5,6,1,4,7,3,2]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[5,6,1,7,2,3,4]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[5,6,1,7,2,4,3]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[5,6,1,7,3,2,4]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[5,6,1,7,3,4,2]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[5,6,1,7,4,2,3]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[5,6,1,7,4,3,2]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[5,6,2,1,3,4,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[5,6,2,1,3,7,4]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[5,6,2,1,4,3,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[5,6,2,1,4,7,3]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[5,6,2,1,7,3,4]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[5,6,2,1,7,4,3]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[5,6,2,3,1,4,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[5,6,2,3,1,7,4]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[5,6,2,3,4,1,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[5,6,2,3,4,7,1]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[5,6,2,3,7,1,4]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[5,6,2,3,7,4,1]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[5,6,2,4,1,3,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[5,6,2,4,1,7,3]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[5,6,2,4,3,1,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[5,6,2,4,3,7,1]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[5,6,2,4,7,1,3]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[5,6,2,4,7,3,1]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[5,6,2,7,1,3,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,6,2,7,1,4,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,6,2,7,3,1,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,6,2,7,3,4,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,6,2,7,4,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,6,2,7,4,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,6,3,1,2,4,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[5,6,3,1,2,7,4]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[5,6,3,1,4,2,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[5,6,3,1,4,7,2]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[5,6,3,1,7,2,4]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[5,6,3,1,7,4,2]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[5,6,3,2,1,4,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[5,6,3,2,1,7,4]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[5,6,3,2,4,1,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[5,6,3,2,4,7,1]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[5,6,3,2,7,1,4]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[5,6,3,2,7,4,1]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[5,6,3,4,1,2,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[5,6,3,4,1,7,2]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[5,6,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[5,6,3,4,2,7,1]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[5,6,3,4,7,1,2]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[5,6,3,4,7,2,1]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[5,6,3,7,1,2,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,6,3,7,1,4,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,6,3,7,2,1,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,6,3,7,2,4,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,6,3,7,4,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,6,3,7,4,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,6,4,1,2,3,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[5,6,4,1,2,7,3]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[5,6,4,1,3,2,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[5,6,4,1,3,7,2]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[5,6,4,1,7,2,3]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[5,6,4,1,7,3,2]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[5,6,4,2,1,3,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[5,6,4,2,1,7,3]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[5,6,4,2,3,1,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[5,6,4,2,3,7,1]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[5,6,4,2,7,1,3]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[5,6,4,2,7,3,1]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[5,6,4,3,1,2,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[5,6,4,3,1,7,2]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[5,6,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[5,6,4,3,2,7,1]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[5,6,4,3,7,1,2]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[5,6,4,3,7,2,1]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[5,6,4,7,1,2,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,6,4,7,1,3,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,6,4,7,2,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,6,4,7,2,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,6,4,7,3,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,6,4,7,3,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,6,7,1,2,3,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,6,7,1,2,4,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,6,7,1,3,2,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,6,7,1,3,4,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,6,7,1,4,2,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,6,7,1,4,3,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,6,7,2,1,3,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,6,7,2,1,4,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,6,7,2,3,1,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,6,7,2,3,4,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,6,7,2,4,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,6,7,2,4,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,6,7,3,1,2,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,6,7,3,1,4,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,6,7,3,2,1,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,6,7,3,2,4,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,6,7,3,4,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,6,7,3,4,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,6,7,4,1,2,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,6,7,4,1,3,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,6,7,4,2,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,6,7,4,2,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,6,7,4,3,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,6,7,4,3,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,1,2,3,4,6]=>[6,7,3,4,5,1,2]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[5,7,1,2,3,6,4]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[5,7,1,2,4,3,6]=>[6,7,3,4,5,1,2]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[5,7,1,2,4,6,3]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[5,7,1,2,6,3,4]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[5,7,1,2,6,4,3]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[5,7,1,3,2,4,6]=>[6,7,3,5,4,1,2]=>{{1,6},{2,7},{3},{4,5}}=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,7},{3},{4,5}}
[5,7,1,3,2,6,4]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[5,7,1,3,4,2,6]=>[6,7,3,5,4,1,2]=>{{1,6},{2,7},{3},{4,5}}=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,7},{3},{4,5}}
[5,7,1,3,4,6,2]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[5,7,1,3,6,2,4]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[5,7,1,3,6,4,2]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[5,7,1,4,2,3,6]=>[6,7,3,5,4,1,2]=>{{1,6},{2,7},{3},{4,5}}=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,7},{3},{4,5}}
[5,7,1,4,2,6,3]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[5,7,1,4,3,2,6]=>[6,7,3,5,4,1,2]=>{{1,6},{2,7},{3},{4,5}}=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,7},{3},{4,5}}
[5,7,1,4,3,6,2]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[5,7,1,4,6,2,3]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[5,7,1,4,6,3,2]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[5,7,1,6,2,3,4]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[5,7,1,6,2,4,3]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[5,7,1,6,3,2,4]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[5,7,1,6,3,4,2]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[5,7,1,6,4,2,3]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[5,7,1,6,4,3,2]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[5,7,2,1,3,4,6]=>[6,7,4,3,5,1,2]=>{{1,6},{2,7},{3,4},{5}}=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,7},{3,4},{5}}
[5,7,2,1,3,6,4]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[5,7,2,1,4,3,6]=>[6,7,4,3,5,1,2]=>{{1,6},{2,7},{3,4},{5}}=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,7},{3,4},{5}}
[5,7,2,1,4,6,3]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[5,7,2,1,6,3,4]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[5,7,2,1,6,4,3]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[5,7,2,3,1,4,6]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[5,7,2,3,1,6,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,2,3,4,1,6]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[5,7,2,3,4,6,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,2,3,6,1,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,2,3,6,4,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,2,4,1,3,6]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[5,7,2,4,1,6,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,2,4,3,1,6]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[5,7,2,4,3,6,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,2,4,6,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,2,4,6,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,2,6,1,3,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,2,6,1,4,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,2,6,3,1,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,2,6,3,4,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,2,6,4,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,2,6,4,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,3,1,2,4,6]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[5,7,3,1,2,6,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,3,1,4,2,6]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[5,7,3,1,4,6,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,3,1,6,2,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,3,1,6,4,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,3,2,1,4,6]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[5,7,3,2,1,6,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,3,2,4,1,6]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[5,7,3,2,4,6,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,3,2,6,1,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,3,2,6,4,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,3,4,1,2,6]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[5,7,3,4,1,6,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,3,4,2,1,6]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[5,7,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,3,4,6,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,3,4,6,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,3,6,1,2,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,3,6,1,4,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,3,6,2,1,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,3,6,4,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,3,6,4,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,4,1,2,3,6]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[5,7,4,1,2,6,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,4,1,3,2,6]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[5,7,4,1,3,6,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,4,1,6,2,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,4,1,6,3,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,4,2,1,3,6]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[5,7,4,2,1,6,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,4,2,3,1,6]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[5,7,4,2,3,6,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,4,2,6,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,4,2,6,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,4,3,1,2,6]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[5,7,4,3,1,6,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,4,3,2,1,6]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
[5,7,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,4,3,6,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,4,3,6,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,4,6,1,2,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,4,6,1,3,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,4,6,2,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,4,6,2,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,4,6,3,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,4,6,3,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,6,1,2,3,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,6,1,2,4,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,6,1,3,2,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,6,1,3,4,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,6,1,4,2,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,6,1,4,3,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,6,2,1,3,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,6,2,1,4,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,6,2,3,1,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,6,2,3,4,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,6,2,4,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,6,2,4,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,6,3,1,2,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,6,3,1,4,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,6,3,2,1,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,6,3,2,4,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,6,3,4,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,6,3,4,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,6,4,1,2,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,6,4,1,3,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,6,4,2,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,6,4,3,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[5,7,6,4,3,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,1,2,3,4,5,7]=>[6,2,3,4,5,1,7]=>{{1,6},{2},{3},{4},{5},{7}}=>{{1,6},{2},{3},{4},{5},{7}}=>{{1,6},{2},{3},{4},{5},{7}}
[6,1,2,3,4,7,5]=>[7,2,3,4,5,6,1]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5},{6}}
[6,1,2,3,5,4,7]=>[6,2,3,4,5,1,7]=>{{1,6},{2},{3},{4},{5},{7}}=>{{1,6},{2},{3},{4},{5},{7}}=>{{1,6},{2},{3},{4},{5},{7}}
[6,1,2,3,5,7,4]=>[7,2,3,4,5,6,1]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5},{6}}
[6,1,2,3,7,4,5]=>[7,2,3,4,6,5,1]=>{{1,7},{2},{3},{4},{5,6}}=>{{1,6},{2},{3},{4},{5,7}}=>{{1,7},{2},{3},{4},{5,6}}
[6,1,2,3,7,5,4]=>[7,2,3,4,6,5,1]=>{{1,7},{2},{3},{4},{5,6}}=>{{1,6},{2},{3},{4},{5,7}}=>{{1,7},{2},{3},{4},{5,6}}
[6,1,2,4,3,5,7]=>[6,2,3,5,4,1,7]=>{{1,6},{2},{3},{4,5},{7}}=>{{1,5},{2},{3},{4,6},{7}}=>{{1,6},{2},{3},{4,5},{7}}
[6,1,2,4,3,7,5]=>[7,2,3,5,4,6,1]=>{{1,7},{2},{3},{4,5},{6}}=>{{1,5},{2},{3},{4,7},{6}}=>{{1,7},{2},{3},{4,5},{6}}
[6,1,2,4,5,3,7]=>[6,2,3,5,4,1,7]=>{{1,6},{2},{3},{4,5},{7}}=>{{1,5},{2},{3},{4,6},{7}}=>{{1,6},{2},{3},{4,5},{7}}
[6,1,2,4,5,7,3]=>[7,2,3,5,4,6,1]=>{{1,7},{2},{3},{4,5},{6}}=>{{1,5},{2},{3},{4,7},{6}}=>{{1,7},{2},{3},{4,5},{6}}
[6,1,2,4,7,3,5]=>[7,2,3,6,5,4,1]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,6},{2},{3},{4,7},{5}}=>{{1,7},{2},{3},{4,6},{5}}
[6,1,2,4,7,5,3]=>[7,2,3,6,5,4,1]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,6},{2},{3},{4,7},{5}}=>{{1,7},{2},{3},{4,6},{5}}
[6,1,2,5,3,4,7]=>[6,2,3,5,4,1,7]=>{{1,6},{2},{3},{4,5},{7}}=>{{1,5},{2},{3},{4,6},{7}}=>{{1,6},{2},{3},{4,5},{7}}
[6,1,2,5,3,7,4]=>[7,2,3,5,4,6,1]=>{{1,7},{2},{3},{4,5},{6}}=>{{1,5},{2},{3},{4,7},{6}}=>{{1,7},{2},{3},{4,5},{6}}
[6,1,2,5,4,3,7]=>[6,2,3,5,4,1,7]=>{{1,6},{2},{3},{4,5},{7}}=>{{1,5},{2},{3},{4,6},{7}}=>{{1,6},{2},{3},{4,5},{7}}
[6,1,2,5,4,7,3]=>[7,2,3,5,4,6,1]=>{{1,7},{2},{3},{4,5},{6}}=>{{1,5},{2},{3},{4,7},{6}}=>{{1,7},{2},{3},{4,5},{6}}
[6,1,2,5,7,3,4]=>[7,2,3,6,5,4,1]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,6},{2},{3},{4,7},{5}}=>{{1,7},{2},{3},{4,6},{5}}
[6,1,2,5,7,4,3]=>[7,2,3,6,5,4,1]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,6},{2},{3},{4,7},{5}}=>{{1,7},{2},{3},{4,6},{5}}
[6,1,2,7,3,4,5]=>[7,2,3,6,5,4,1]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,6},{2},{3},{4,7},{5}}=>{{1,7},{2},{3},{4,6},{5}}
[6,1,2,7,3,5,4]=>[7,2,3,6,5,4,1]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,6},{2},{3},{4,7},{5}}=>{{1,7},{2},{3},{4,6},{5}}
[6,1,2,7,4,3,5]=>[7,2,3,6,5,4,1]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,6},{2},{3},{4,7},{5}}=>{{1,7},{2},{3},{4,6},{5}}
[6,1,2,7,4,5,3]=>[7,2,3,6,5,4,1]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,6},{2},{3},{4,7},{5}}=>{{1,7},{2},{3},{4,6},{5}}
[6,1,2,7,5,3,4]=>[7,2,3,6,5,4,1]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,6},{2},{3},{4,7},{5}}=>{{1,7},{2},{3},{4,6},{5}}
[6,1,2,7,5,4,3]=>[7,2,3,6,5,4,1]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,6},{2},{3},{4,7},{5}}=>{{1,7},{2},{3},{4,6},{5}}
[6,1,3,2,4,5,7]=>[6,2,4,3,5,1,7]=>{{1,6},{2},{3,4},{5},{7}}=>{{1,4},{2},{3,6},{5},{7}}=>{{1,6},{2},{3,4},{5},{7}}
[6,1,3,2,4,7,5]=>[7,2,4,3,5,6,1]=>{{1,7},{2},{3,4},{5},{6}}=>{{1,4},{2},{3,7},{5},{6}}=>{{1,7},{2},{3,4},{5},{6}}
[6,1,3,2,5,4,7]=>[6,2,4,3,5,1,7]=>{{1,6},{2},{3,4},{5},{7}}=>{{1,4},{2},{3,6},{5},{7}}=>{{1,6},{2},{3,4},{5},{7}}
[6,1,3,2,5,7,4]=>[7,2,4,3,5,6,1]=>{{1,7},{2},{3,4},{5},{6}}=>{{1,4},{2},{3,7},{5},{6}}=>{{1,7},{2},{3,4},{5},{6}}
[6,1,3,2,7,4,5]=>[7,2,4,3,6,5,1]=>{{1,7},{2},{3,4},{5,6}}=>{{1,4},{2},{3,6},{5,7}}=>{{1,7},{2},{3,4},{5,6}}
[6,1,3,2,7,5,4]=>[7,2,4,3,6,5,1]=>{{1,7},{2},{3,4},{5,6}}=>{{1,4},{2},{3,6},{5,7}}=>{{1,7},{2},{3,4},{5,6}}
[6,1,3,4,2,5,7]=>[6,2,5,4,3,1,7]=>{{1,6},{2},{3,5},{4},{7}}=>{{1,5},{2},{3,6},{4},{7}}=>{{1,6},{2},{3,5},{4},{7}}
[6,1,3,4,2,7,5]=>[7,2,5,4,3,6,1]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}
[6,1,3,4,5,2,7]=>[6,2,5,4,3,1,7]=>{{1,6},{2},{3,5},{4},{7}}=>{{1,5},{2},{3,6},{4},{7}}=>{{1,6},{2},{3,5},{4},{7}}
[6,1,3,4,5,7,2]=>[7,2,5,4,3,6,1]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}
[6,1,3,4,7,2,5]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[6,1,3,4,7,5,2]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[6,1,3,5,2,4,7]=>[6,2,5,4,3,1,7]=>{{1,6},{2},{3,5},{4},{7}}=>{{1,5},{2},{3,6},{4},{7}}=>{{1,6},{2},{3,5},{4},{7}}
[6,1,3,5,2,7,4]=>[7,2,5,4,3,6,1]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}
[6,1,3,5,4,2,7]=>[6,2,5,4,3,1,7]=>{{1,6},{2},{3,5},{4},{7}}=>{{1,5},{2},{3,6},{4},{7}}=>{{1,6},{2},{3,5},{4},{7}}
[6,1,3,5,4,7,2]=>[7,2,5,4,3,6,1]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}
[6,1,3,5,7,2,4]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[6,1,3,5,7,4,2]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[6,1,3,7,2,4,5]=>[7,2,5,6,3,4,1]=>{{1,7},{2},{3,5},{4,6}}=>{{1,6},{2},{3,5},{4,7}}=>{{1,7},{2},{3,5},{4,6}}
[6,1,3,7,2,5,4]=>[7,2,5,6,3,4,1]=>{{1,7},{2},{3,5},{4,6}}=>{{1,6},{2},{3,5},{4,7}}=>{{1,7},{2},{3,5},{4,6}}
[6,1,3,7,4,2,5]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[6,1,3,7,4,5,2]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[6,1,3,7,5,2,4]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[6,1,3,7,5,4,2]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[6,1,4,2,3,5,7]=>[6,2,5,4,3,1,7]=>{{1,6},{2},{3,5},{4},{7}}=>{{1,5},{2},{3,6},{4},{7}}=>{{1,6},{2},{3,5},{4},{7}}
[6,1,4,2,3,7,5]=>[7,2,5,4,3,6,1]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}
[6,1,4,2,5,3,7]=>[6,2,5,4,3,1,7]=>{{1,6},{2},{3,5},{4},{7}}=>{{1,5},{2},{3,6},{4},{7}}=>{{1,6},{2},{3,5},{4},{7}}
[6,1,4,2,5,7,3]=>[7,2,5,4,3,6,1]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}
[6,1,4,2,7,3,5]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[6,1,4,2,7,5,3]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[6,1,4,3,2,5,7]=>[6,2,5,4,3,1,7]=>{{1,6},{2},{3,5},{4},{7}}=>{{1,5},{2},{3,6},{4},{7}}=>{{1,6},{2},{3,5},{4},{7}}
[6,1,4,3,2,7,5]=>[7,2,5,4,3,6,1]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}
[6,1,4,3,5,2,7]=>[6,2,5,4,3,1,7]=>{{1,6},{2},{3,5},{4},{7}}=>{{1,5},{2},{3,6},{4},{7}}=>{{1,6},{2},{3,5},{4},{7}}
[6,1,4,3,5,7,2]=>[7,2,5,4,3,6,1]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}
[6,1,4,3,7,2,5]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[6,1,4,3,7,5,2]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[6,1,4,5,2,3,7]=>[6,2,5,4,3,1,7]=>{{1,6},{2},{3,5},{4},{7}}=>{{1,5},{2},{3,6},{4},{7}}=>{{1,6},{2},{3,5},{4},{7}}
[6,1,4,5,2,7,3]=>[7,2,5,4,3,6,1]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}
[6,1,4,5,3,2,7]=>[6,2,5,4,3,1,7]=>{{1,6},{2},{3,5},{4},{7}}=>{{1,5},{2},{3,6},{4},{7}}=>{{1,6},{2},{3,5},{4},{7}}
[6,1,4,5,3,7,2]=>[7,2,5,4,3,6,1]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}
[6,1,4,5,7,2,3]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[6,1,4,5,7,3,2]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[6,1,4,7,2,3,5]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[6,1,4,7,2,5,3]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[6,1,4,7,3,2,5]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[6,1,4,7,3,5,2]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[6,1,4,7,5,2,3]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[6,1,4,7,5,3,2]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[6,1,5,2,3,4,7]=>[6,2,5,4,3,1,7]=>{{1,6},{2},{3,5},{4},{7}}=>{{1,5},{2},{3,6},{4},{7}}=>{{1,6},{2},{3,5},{4},{7}}
[6,1,5,2,3,7,4]=>[7,2,5,4,3,6,1]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}
[6,1,5,2,4,3,7]=>[6,2,5,4,3,1,7]=>{{1,6},{2},{3,5},{4},{7}}=>{{1,5},{2},{3,6},{4},{7}}=>{{1,6},{2},{3,5},{4},{7}}
[6,1,5,2,4,7,3]=>[7,2,5,4,3,6,1]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}
[6,1,5,2,7,3,4]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[6,1,5,2,7,4,3]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[6,1,5,3,2,4,7]=>[6,2,5,4,3,1,7]=>{{1,6},{2},{3,5},{4},{7}}=>{{1,5},{2},{3,6},{4},{7}}=>{{1,6},{2},{3,5},{4},{7}}
[6,1,5,3,2,7,4]=>[7,2,5,4,3,6,1]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}
[6,1,5,3,4,2,7]=>[6,2,5,4,3,1,7]=>{{1,6},{2},{3,5},{4},{7}}=>{{1,5},{2},{3,6},{4},{7}}=>{{1,6},{2},{3,5},{4},{7}}
[6,1,5,3,4,7,2]=>[7,2,5,4,3,6,1]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}
[6,1,5,3,7,2,4]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[6,1,5,3,7,4,2]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[6,1,5,4,2,3,7]=>[6,2,5,4,3,1,7]=>{{1,6},{2},{3,5},{4},{7}}=>{{1,5},{2},{3,6},{4},{7}}=>{{1,6},{2},{3,5},{4},{7}}
[6,1,5,4,2,7,3]=>[7,2,5,4,3,6,1]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}
[6,1,5,4,3,2,7]=>[6,2,5,4,3,1,7]=>{{1,6},{2},{3,5},{4},{7}}=>{{1,5},{2},{3,6},{4},{7}}=>{{1,6},{2},{3,5},{4},{7}}
[6,1,5,4,3,7,2]=>[7,2,5,4,3,6,1]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}
[6,1,5,4,7,2,3]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[6,1,5,4,7,3,2]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[6,1,5,7,2,3,4]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[6,1,5,7,2,4,3]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[6,1,5,7,3,2,4]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[6,1,5,7,3,4,2]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[6,1,5,7,4,2,3]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[6,1,5,7,4,3,2]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[6,1,7,2,3,4,5]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[6,1,7,2,3,5,4]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[6,1,7,2,4,3,5]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[6,1,7,2,4,5,3]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[6,1,7,2,5,3,4]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[6,1,7,2,5,4,3]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[6,1,7,3,2,4,5]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[6,1,7,3,2,5,4]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[6,1,7,3,4,2,5]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[6,1,7,3,4,5,2]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[6,1,7,3,5,2,4]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[6,1,7,3,5,4,2]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[6,1,7,4,2,3,5]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[6,1,7,4,2,5,3]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[6,1,7,4,3,2,5]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[6,1,7,4,3,5,2]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[6,1,7,4,5,2,3]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[6,1,7,4,5,3,2]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[6,1,7,5,2,3,4]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[6,1,7,5,2,4,3]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[6,1,7,5,3,2,4]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[6,1,7,5,3,4,2]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[6,1,7,5,4,2,3]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[6,1,7,5,4,3,2]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[6,2,1,3,4,5,7]=>[6,3,2,4,5,1,7]=>{{1,6},{2,3},{4},{5},{7}}=>{{1,3},{2,6},{4},{5},{7}}=>{{1,6},{2,3},{4},{5},{7}}
[6,2,1,3,4,7,5]=>[7,3,2,4,5,6,1]=>{{1,7},{2,3},{4},{5},{6}}=>{{1,3},{2,7},{4},{5},{6}}=>{{1,7},{2,3},{4},{5},{6}}
[6,2,1,3,5,4,7]=>[6,3,2,4,5,1,7]=>{{1,6},{2,3},{4},{5},{7}}=>{{1,3},{2,6},{4},{5},{7}}=>{{1,6},{2,3},{4},{5},{7}}
[6,2,1,3,5,7,4]=>[7,3,2,4,5,6,1]=>{{1,7},{2,3},{4},{5},{6}}=>{{1,3},{2,7},{4},{5},{6}}=>{{1,7},{2,3},{4},{5},{6}}
[6,2,1,3,7,4,5]=>[7,3,2,4,6,5,1]=>{{1,7},{2,3},{4},{5,6}}=>{{1,3},{2,6},{4},{5,7}}=>{{1,7},{2,3},{4},{5,6}}
[6,2,1,3,7,5,4]=>[7,3,2,4,6,5,1]=>{{1,7},{2,3},{4},{5,6}}=>{{1,3},{2,6},{4},{5,7}}=>{{1,7},{2,3},{4},{5,6}}
[6,2,1,4,3,5,7]=>[6,3,2,5,4,1,7]=>{{1,6},{2,3},{4,5},{7}}=>{{1,3},{2,5},{4,6},{7}}=>{{1,6},{2,3},{4,5},{7}}
[6,2,1,4,3,7,5]=>[7,3,2,5,4,6,1]=>{{1,7},{2,3},{4,5},{6}}=>{{1,3},{2,5},{4,7},{6}}=>{{1,7},{2,3},{4,5},{6}}
[6,2,1,4,5,3,7]=>[6,3,2,5,4,1,7]=>{{1,6},{2,3},{4,5},{7}}=>{{1,3},{2,5},{4,6},{7}}=>{{1,6},{2,3},{4,5},{7}}
[6,2,1,4,5,7,3]=>[7,3,2,5,4,6,1]=>{{1,7},{2,3},{4,5},{6}}=>{{1,3},{2,5},{4,7},{6}}=>{{1,7},{2,3},{4,5},{6}}
[6,2,1,4,7,3,5]=>[7,3,2,6,5,4,1]=>{{1,7},{2,3},{4,6},{5}}=>{{1,3},{2,6},{4,7},{5}}=>{{1,7},{2,3},{4,6},{5}}
[6,2,1,4,7,5,3]=>[7,3,2,6,5,4,1]=>{{1,7},{2,3},{4,6},{5}}=>{{1,3},{2,6},{4,7},{5}}=>{{1,7},{2,3},{4,6},{5}}
[6,2,1,5,3,4,7]=>[6,3,2,5,4,1,7]=>{{1,6},{2,3},{4,5},{7}}=>{{1,3},{2,5},{4,6},{7}}=>{{1,6},{2,3},{4,5},{7}}
[6,2,1,5,3,7,4]=>[7,3,2,5,4,6,1]=>{{1,7},{2,3},{4,5},{6}}=>{{1,3},{2,5},{4,7},{6}}=>{{1,7},{2,3},{4,5},{6}}
[6,2,1,5,4,3,7]=>[6,3,2,5,4,1,7]=>{{1,6},{2,3},{4,5},{7}}=>{{1,3},{2,5},{4,6},{7}}=>{{1,6},{2,3},{4,5},{7}}
[6,2,1,5,4,7,3]=>[7,3,2,5,4,6,1]=>{{1,7},{2,3},{4,5},{6}}=>{{1,3},{2,5},{4,7},{6}}=>{{1,7},{2,3},{4,5},{6}}
[6,2,1,5,7,3,4]=>[7,3,2,6,5,4,1]=>{{1,7},{2,3},{4,6},{5}}=>{{1,3},{2,6},{4,7},{5}}=>{{1,7},{2,3},{4,6},{5}}
[6,2,1,5,7,4,3]=>[7,3,2,6,5,4,1]=>{{1,7},{2,3},{4,6},{5}}=>{{1,3},{2,6},{4,7},{5}}=>{{1,7},{2,3},{4,6},{5}}
[6,2,1,7,3,4,5]=>[7,3,2,6,5,4,1]=>{{1,7},{2,3},{4,6},{5}}=>{{1,3},{2,6},{4,7},{5}}=>{{1,7},{2,3},{4,6},{5}}
[6,2,1,7,3,5,4]=>[7,3,2,6,5,4,1]=>{{1,7},{2,3},{4,6},{5}}=>{{1,3},{2,6},{4,7},{5}}=>{{1,7},{2,3},{4,6},{5}}
[6,2,1,7,4,3,5]=>[7,3,2,6,5,4,1]=>{{1,7},{2,3},{4,6},{5}}=>{{1,3},{2,6},{4,7},{5}}=>{{1,7},{2,3},{4,6},{5}}
[6,2,1,7,4,5,3]=>[7,3,2,6,5,4,1]=>{{1,7},{2,3},{4,6},{5}}=>{{1,3},{2,6},{4,7},{5}}=>{{1,7},{2,3},{4,6},{5}}
[6,2,1,7,5,3,4]=>[7,3,2,6,5,4,1]=>{{1,7},{2,3},{4,6},{5}}=>{{1,3},{2,6},{4,7},{5}}=>{{1,7},{2,3},{4,6},{5}}
[6,2,1,7,5,4,3]=>[7,3,2,6,5,4,1]=>{{1,7},{2,3},{4,6},{5}}=>{{1,3},{2,6},{4,7},{5}}=>{{1,7},{2,3},{4,6},{5}}
[6,2,3,1,4,5,7]=>[6,4,3,2,5,1,7]=>{{1,6},{2,4},{3},{5},{7}}=>{{1,4},{2,6},{3},{5},{7}}=>{{1,6},{2,4},{3},{5},{7}}
[6,2,3,1,4,7,5]=>[7,4,3,2,5,6,1]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,4},{2,7},{3},{5},{6}}=>{{1,7},{2,4},{3},{5},{6}}
[6,2,3,1,5,4,7]=>[6,4,3,2,5,1,7]=>{{1,6},{2,4},{3},{5},{7}}=>{{1,4},{2,6},{3},{5},{7}}=>{{1,6},{2,4},{3},{5},{7}}
[6,2,3,1,5,7,4]=>[7,4,3,2,5,6,1]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,4},{2,7},{3},{5},{6}}=>{{1,7},{2,4},{3},{5},{6}}
[6,2,3,1,7,4,5]=>[7,4,3,2,6,5,1]=>{{1,7},{2,4},{3},{5,6}}=>{{1,4},{2,6},{3},{5,7}}=>{{1,7},{2,4},{3},{5,6}}
[6,2,3,1,7,5,4]=>[7,4,3,2,6,5,1]=>{{1,7},{2,4},{3},{5,6}}=>{{1,4},{2,6},{3},{5,7}}=>{{1,7},{2,4},{3},{5,6}}
[6,2,3,4,1,5,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[6,2,3,4,1,7,5]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[6,2,3,4,5,1,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[6,2,3,4,5,7,1]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[6,2,3,4,7,1,5]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[6,2,3,4,7,5,1]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[6,2,3,5,1,4,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[6,2,3,5,1,7,4]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[6,2,3,5,4,1,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[6,2,3,5,4,7,1]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[6,2,3,5,7,1,4]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[6,2,3,5,7,4,1]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[6,2,3,7,1,4,5]=>[7,5,3,6,2,4,1]=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}
[6,2,3,7,1,5,4]=>[7,5,3,6,2,4,1]=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}
[6,2,3,7,4,1,5]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[6,2,3,7,4,5,1]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[6,2,3,7,5,1,4]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[6,2,3,7,5,4,1]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[6,2,4,1,3,5,7]=>[6,4,5,2,3,1,7]=>{{1,6},{2,4},{3,5},{7}}=>{{1,5},{2,4},{3,6},{7}}=>{{1,6},{2,4},{3,5},{7}}
[6,2,4,1,3,7,5]=>[7,4,5,2,3,6,1]=>{{1,7},{2,4},{3,5},{6}}=>{{1,5},{2,4},{3,7},{6}}=>{{1,7},{2,4},{3,5},{6}}
[6,2,4,1,5,3,7]=>[6,4,5,2,3,1,7]=>{{1,6},{2,4},{3,5},{7}}=>{{1,5},{2,4},{3,6},{7}}=>{{1,6},{2,4},{3,5},{7}}
[6,2,4,1,5,7,3]=>[7,4,5,2,3,6,1]=>{{1,7},{2,4},{3,5},{6}}=>{{1,5},{2,4},{3,7},{6}}=>{{1,7},{2,4},{3,5},{6}}
[6,2,4,1,7,3,5]=>[7,4,6,2,5,3,1]=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}
[6,2,4,1,7,5,3]=>[7,4,6,2,5,3,1]=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}
[6,2,4,3,1,5,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[6,2,4,3,1,7,5]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[6,2,4,3,5,1,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[6,2,4,3,5,7,1]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[6,2,4,3,7,1,5]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[6,2,4,3,7,5,1]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[6,2,4,5,1,3,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[6,2,4,5,1,7,3]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[6,2,4,5,3,1,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[6,2,4,5,3,7,1]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[6,2,4,5,7,1,3]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[6,2,4,5,7,3,1]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[6,2,4,7,1,3,5]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[6,2,4,7,1,5,3]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[6,2,4,7,3,1,5]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,2,4,7,3,5,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,2,4,7,5,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,2,4,7,5,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,2,5,1,3,4,7]=>[6,4,5,2,3,1,7]=>{{1,6},{2,4},{3,5},{7}}=>{{1,5},{2,4},{3,6},{7}}=>{{1,6},{2,4},{3,5},{7}}
[6,2,5,1,3,7,4]=>[7,4,5,2,3,6,1]=>{{1,7},{2,4},{3,5},{6}}=>{{1,5},{2,4},{3,7},{6}}=>{{1,7},{2,4},{3,5},{6}}
[6,2,5,1,4,3,7]=>[6,4,5,2,3,1,7]=>{{1,6},{2,4},{3,5},{7}}=>{{1,5},{2,4},{3,6},{7}}=>{{1,6},{2,4},{3,5},{7}}
[6,2,5,1,4,7,3]=>[7,4,5,2,3,6,1]=>{{1,7},{2,4},{3,5},{6}}=>{{1,5},{2,4},{3,7},{6}}=>{{1,7},{2,4},{3,5},{6}}
[6,2,5,1,7,3,4]=>[7,4,6,2,5,3,1]=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}
[6,2,5,1,7,4,3]=>[7,4,6,2,5,3,1]=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}
[6,2,5,3,1,4,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[6,2,5,3,1,7,4]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[6,2,5,3,4,1,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[6,2,5,3,4,7,1]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[6,2,5,3,7,1,4]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[6,2,5,3,7,4,1]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[6,2,5,4,1,3,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[6,2,5,4,1,7,3]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[6,2,5,4,3,1,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[6,2,5,4,3,7,1]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[6,2,5,4,7,1,3]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[6,2,5,4,7,3,1]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[6,2,5,7,1,3,4]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[6,2,5,7,1,4,3]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[6,2,5,7,3,1,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,2,5,7,3,4,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,2,5,7,4,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,2,5,7,4,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,2,7,1,3,4,5]=>[7,4,6,2,5,3,1]=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}
[6,2,7,1,3,5,4]=>[7,4,6,2,5,3,1]=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}
[6,2,7,1,4,3,5]=>[7,4,6,2,5,3,1]=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}
[6,2,7,1,4,5,3]=>[7,4,6,2,5,3,1]=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}
[6,2,7,1,5,3,4]=>[7,4,6,2,5,3,1]=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}
[6,2,7,1,5,4,3]=>[7,4,6,2,5,3,1]=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}
[6,2,7,3,1,4,5]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[6,2,7,3,1,5,4]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[6,2,7,3,4,1,5]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,2,7,3,4,5,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,2,7,3,5,1,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,2,7,3,5,4,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,2,7,4,1,3,5]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[6,2,7,4,1,5,3]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[6,2,7,4,3,1,5]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,2,7,4,3,5,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,2,7,4,5,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,2,7,4,5,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,2,7,5,1,3,4]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[6,2,7,5,1,4,3]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[6,2,7,5,3,1,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,2,7,5,3,4,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,2,7,5,4,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,2,7,5,4,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,3,1,2,4,5,7]=>[6,4,3,2,5,1,7]=>{{1,6},{2,4},{3},{5},{7}}=>{{1,4},{2,6},{3},{5},{7}}=>{{1,6},{2,4},{3},{5},{7}}
[6,3,1,2,4,7,5]=>[7,4,3,2,5,6,1]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,4},{2,7},{3},{5},{6}}=>{{1,7},{2,4},{3},{5},{6}}
[6,3,1,2,5,4,7]=>[6,4,3,2,5,1,7]=>{{1,6},{2,4},{3},{5},{7}}=>{{1,4},{2,6},{3},{5},{7}}=>{{1,6},{2,4},{3},{5},{7}}
[6,3,1,2,5,7,4]=>[7,4,3,2,5,6,1]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,4},{2,7},{3},{5},{6}}=>{{1,7},{2,4},{3},{5},{6}}
[6,3,1,2,7,4,5]=>[7,4,3,2,6,5,1]=>{{1,7},{2,4},{3},{5,6}}=>{{1,4},{2,6},{3},{5,7}}=>{{1,7},{2,4},{3},{5,6}}
[6,3,1,2,7,5,4]=>[7,4,3,2,6,5,1]=>{{1,7},{2,4},{3},{5,6}}=>{{1,4},{2,6},{3},{5,7}}=>{{1,7},{2,4},{3},{5,6}}
[6,3,1,4,2,5,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[6,3,1,4,2,7,5]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[6,3,1,4,5,2,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[6,3,1,4,5,7,2]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[6,3,1,4,7,2,5]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[6,3,1,4,7,5,2]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[6,3,1,5,2,4,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[6,3,1,5,2,7,4]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[6,3,1,5,4,2,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[6,3,1,5,4,7,2]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[6,3,1,5,7,2,4]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[6,3,1,5,7,4,2]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[6,3,1,7,2,4,5]=>[7,5,3,6,2,4,1]=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}
[6,3,1,7,2,5,4]=>[7,5,3,6,2,4,1]=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}
[6,3,1,7,4,2,5]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[6,3,1,7,4,5,2]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[6,3,1,7,5,2,4]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[6,3,1,7,5,4,2]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[6,3,2,1,4,5,7]=>[6,4,3,2,5,1,7]=>{{1,6},{2,4},{3},{5},{7}}=>{{1,4},{2,6},{3},{5},{7}}=>{{1,6},{2,4},{3},{5},{7}}
[6,3,2,1,4,7,5]=>[7,4,3,2,5,6,1]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,4},{2,7},{3},{5},{6}}=>{{1,7},{2,4},{3},{5},{6}}
[6,3,2,1,5,4,7]=>[6,4,3,2,5,1,7]=>{{1,6},{2,4},{3},{5},{7}}=>{{1,4},{2,6},{3},{5},{7}}=>{{1,6},{2,4},{3},{5},{7}}
[6,3,2,1,5,7,4]=>[7,4,3,2,5,6,1]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,4},{2,7},{3},{5},{6}}=>{{1,7},{2,4},{3},{5},{6}}
[6,3,2,1,7,4,5]=>[7,4,3,2,6,5,1]=>{{1,7},{2,4},{3},{5,6}}=>{{1,4},{2,6},{3},{5,7}}=>{{1,7},{2,4},{3},{5,6}}
[6,3,2,1,7,5,4]=>[7,4,3,2,6,5,1]=>{{1,7},{2,4},{3},{5,6}}=>{{1,4},{2,6},{3},{5,7}}=>{{1,7},{2,4},{3},{5,6}}
[6,3,2,4,1,5,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[6,3,2,4,1,7,5]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[6,3,2,4,5,1,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[6,3,2,4,5,7,1]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[6,3,2,4,7,1,5]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[6,3,2,4,7,5,1]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[6,3,2,5,1,4,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[6,3,2,5,1,7,4]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[6,3,2,5,4,1,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[6,3,2,5,4,7,1]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[6,3,2,5,7,1,4]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[6,3,2,5,7,4,1]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[6,3,2,7,1,4,5]=>[7,5,3,6,2,4,1]=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}
[6,3,2,7,1,5,4]=>[7,5,3,6,2,4,1]=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}
[6,3,2,7,4,1,5]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[6,3,2,7,4,5,1]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[6,3,2,7,5,1,4]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[6,3,2,7,5,4,1]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[6,3,4,1,2,5,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[6,3,4,1,2,7,5]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[6,3,4,1,5,2,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[6,3,4,1,5,7,2]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[6,3,4,1,7,2,5]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[6,3,4,1,7,5,2]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[6,3,4,2,1,5,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[6,3,4,2,1,7,5]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[6,3,4,2,5,1,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[6,3,4,2,5,7,1]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[6,3,4,2,7,1,5]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[6,3,4,2,7,5,1]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[6,3,4,5,1,2,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[6,3,4,5,1,7,2]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[6,3,4,5,2,1,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[6,3,4,5,2,7,1]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[6,3,4,5,7,1,2]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[6,3,4,5,7,2,1]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[6,3,4,7,1,2,5]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,3,4,7,1,5,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,3,4,7,2,1,5]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,3,4,7,2,5,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,3,4,7,5,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,3,4,7,5,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,3,5,1,2,4,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[6,3,5,1,2,7,4]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[6,3,5,1,4,2,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[6,3,5,1,4,7,2]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[6,3,5,1,7,2,4]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[6,3,5,1,7,4,2]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[6,3,5,2,1,4,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[6,3,5,2,1,7,4]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[6,3,5,2,4,1,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[6,3,5,2,4,7,1]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[6,3,5,2,7,1,4]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[6,3,5,2,7,4,1]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[6,3,5,4,1,2,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[6,3,5,4,1,7,2]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[6,3,5,4,2,1,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[6,3,5,4,2,7,1]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[6,3,5,4,7,1,2]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[6,3,5,4,7,2,1]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[6,3,5,7,1,2,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,3,5,7,1,4,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,3,5,7,2,1,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,3,5,7,2,4,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,3,5,7,4,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,3,5,7,4,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,3,7,1,2,4,5]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[6,3,7,1,2,5,4]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[6,3,7,1,4,2,5]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,3,7,1,4,5,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,3,7,1,5,2,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,3,7,1,5,4,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,3,7,2,1,4,5]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[6,3,7,2,1,5,4]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[6,3,7,2,4,1,5]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,3,7,2,4,5,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,3,7,2,5,1,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,3,7,2,5,4,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,3,7,4,1,2,5]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,3,7,4,1,5,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,3,7,4,2,1,5]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,3,7,4,2,5,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,3,7,4,5,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,3,7,4,5,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,3,7,5,1,2,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,3,7,5,1,4,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,3,7,5,2,1,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,3,7,5,2,4,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,3,7,5,4,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,3,7,5,4,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,4,1,2,3,5,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[6,4,1,2,3,7,5]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[6,4,1,2,5,3,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[6,4,1,2,5,7,3]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[6,4,1,2,7,3,5]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[6,4,1,2,7,5,3]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[6,4,1,3,2,5,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[6,4,1,3,2,7,5]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[6,4,1,3,5,2,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[6,4,1,3,5,7,2]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[6,4,1,3,7,2,5]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[6,4,1,3,7,5,2]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[6,4,1,5,2,3,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[6,4,1,5,2,7,3]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[6,4,1,5,3,2,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[6,4,1,5,3,7,2]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[6,4,1,5,7,2,3]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[6,4,1,5,7,3,2]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[6,4,1,7,2,3,5]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[6,4,1,7,2,5,3]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[6,4,1,7,3,2,5]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[6,4,1,7,3,5,2]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[6,4,1,7,5,2,3]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[6,4,1,7,5,3,2]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[6,4,2,1,3,5,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[6,4,2,1,3,7,5]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[6,4,2,1,5,3,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[6,4,2,1,5,7,3]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[6,4,2,1,7,3,5]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[6,4,2,1,7,5,3]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[6,4,2,3,1,5,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[6,4,2,3,1,7,5]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[6,4,2,3,5,1,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[6,4,2,3,5,7,1]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[6,4,2,3,7,1,5]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[6,4,2,3,7,5,1]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[6,4,2,5,1,3,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[6,4,2,5,1,7,3]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[6,4,2,5,3,1,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[6,4,2,5,3,7,1]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[6,4,2,5,7,1,3]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[6,4,2,5,7,3,1]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[6,4,2,7,1,3,5]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,4,2,7,1,5,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,4,2,7,3,1,5]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,4,2,7,3,5,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,4,2,7,5,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,4,2,7,5,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,4,3,1,2,5,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[6,4,3,1,2,7,5]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[6,4,3,1,5,2,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[6,4,3,1,5,7,2]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[6,4,3,1,7,2,5]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[6,4,3,1,7,5,2]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[6,4,3,2,1,5,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[6,4,3,2,1,7,5]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[6,4,3,2,5,1,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[6,4,3,2,5,7,1]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[6,4,3,2,7,1,5]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[6,4,3,2,7,5,1]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[6,4,3,5,1,2,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[6,4,3,5,1,7,2]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[6,4,3,5,2,1,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[6,4,3,5,2,7,1]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[6,4,3,5,7,1,2]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[6,4,3,5,7,2,1]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[6,4,3,7,1,2,5]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,4,3,7,1,5,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,4,3,7,2,1,5]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,4,3,7,2,5,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,4,3,7,5,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,4,3,7,5,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,4,5,1,2,3,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[6,4,5,1,2,7,3]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[6,4,5,1,3,2,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[6,4,5,1,3,7,2]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[6,4,5,1,7,2,3]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[6,4,5,1,7,3,2]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[6,4,5,2,1,3,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[6,4,5,2,1,7,3]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[6,4,5,2,3,1,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[6,4,5,2,3,7,1]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[6,4,5,2,7,1,3]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[6,4,5,2,7,3,1]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[6,4,5,3,1,2,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[6,4,5,3,1,7,2]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[6,4,5,3,2,1,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[6,4,5,3,2,7,1]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[6,4,5,3,7,1,2]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[6,4,5,3,7,2,1]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[6,4,5,7,1,2,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,4,5,7,1,3,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,4,5,7,2,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,4,5,7,2,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,4,5,7,3,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,4,5,7,3,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,4,7,1,2,3,5]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,4,7,1,2,5,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,4,7,1,3,2,5]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,4,7,1,3,5,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,4,7,1,5,2,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,4,7,1,5,3,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,4,7,2,1,3,5]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,4,7,2,1,5,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,4,7,2,3,1,5]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,4,7,2,3,5,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,4,7,2,5,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,4,7,2,5,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,4,7,3,1,2,5]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,4,7,3,1,5,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,4,7,3,2,1,5]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,4,7,3,2,5,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,4,7,3,5,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,4,7,3,5,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,4,7,5,1,2,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,4,7,5,1,3,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,4,7,5,2,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,4,7,5,2,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,4,7,5,3,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,4,7,5,3,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,5,1,2,3,4,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[6,5,1,2,3,7,4]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[6,5,1,2,4,3,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[6,5,1,2,4,7,3]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[6,5,1,2,7,3,4]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[6,5,1,2,7,4,3]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[6,5,1,3,2,4,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[6,5,1,3,2,7,4]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[6,5,1,3,4,2,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[6,5,1,3,4,7,2]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[6,5,1,3,7,2,4]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[6,5,1,3,7,4,2]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[6,5,1,4,2,3,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[6,5,1,4,2,7,3]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[6,5,1,4,3,2,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[6,5,1,4,3,7,2]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[6,5,1,4,7,2,3]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[6,5,1,4,7,3,2]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[6,5,1,7,2,3,4]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[6,5,1,7,2,4,3]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[6,5,1,7,3,2,4]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[6,5,1,7,3,4,2]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[6,5,1,7,4,2,3]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[6,5,1,7,4,3,2]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[6,5,2,1,3,4,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[6,5,2,1,3,7,4]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[6,5,2,1,4,3,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[6,5,2,1,4,7,3]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[6,5,2,1,7,3,4]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[6,5,2,1,7,4,3]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[6,5,2,3,1,4,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[6,5,2,3,1,7,4]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[6,5,2,3,4,1,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[6,5,2,3,4,7,1]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[6,5,2,3,7,1,4]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[6,5,2,3,7,4,1]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[6,5,2,4,1,3,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[6,5,2,4,1,7,3]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[6,5,2,4,3,1,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[6,5,2,4,3,7,1]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[6,5,2,4,7,1,3]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[6,5,2,4,7,3,1]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[6,5,2,7,1,3,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,5,2,7,1,4,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,5,2,7,3,1,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,5,2,7,3,4,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,5,2,7,4,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,5,2,7,4,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,5,3,1,2,4,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[6,5,3,1,2,7,4]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[6,5,3,1,4,2,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[6,5,3,1,4,7,2]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[6,5,3,1,7,2,4]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[6,5,3,1,7,4,2]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[6,5,3,2,1,4,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[6,5,3,2,1,7,4]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[6,5,3,2,4,1,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[6,5,3,2,4,7,1]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[6,5,3,2,7,1,4]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[6,5,3,2,7,4,1]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[6,5,3,4,1,2,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[6,5,3,4,1,7,2]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[6,5,3,4,2,7,1]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[6,5,3,4,7,1,2]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[6,5,3,4,7,2,1]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[6,5,3,7,1,2,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,5,3,7,1,4,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,5,3,7,2,1,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,5,3,7,2,4,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,5,3,7,4,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,5,3,7,4,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,5,4,1,2,3,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[6,5,4,1,2,7,3]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[6,5,4,1,3,2,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[6,5,4,1,3,7,2]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[6,5,4,1,7,2,3]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[6,5,4,1,7,3,2]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[6,5,4,2,1,3,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[6,5,4,2,1,7,3]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[6,5,4,2,3,1,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[6,5,4,2,3,7,1]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[6,5,4,2,7,1,3]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[6,5,4,2,7,3,1]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[6,5,4,3,1,2,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[6,5,4,3,1,7,2]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[6,5,4,3,2,7,1]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[6,5,4,3,7,1,2]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[6,5,4,3,7,2,1]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[6,5,4,7,1,2,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,5,4,7,1,3,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,5,4,7,2,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,5,4,7,2,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,5,4,7,3,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,5,4,7,3,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,5,7,1,2,3,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,5,7,1,2,4,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,5,7,1,3,2,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,5,7,1,3,4,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,5,7,1,4,2,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,5,7,1,4,3,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,5,7,2,1,3,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,5,7,2,1,4,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,5,7,2,3,1,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,5,7,2,3,4,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,5,7,2,4,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,5,7,2,4,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,5,7,3,1,2,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,5,7,3,1,4,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,5,7,3,2,1,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,5,7,3,2,4,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,5,7,3,4,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,5,7,3,4,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,5,7,4,1,2,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,5,7,4,1,3,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,5,7,4,2,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,5,7,4,2,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,5,7,4,3,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,5,7,4,3,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,1,2,3,4,5]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[6,7,1,2,3,5,4]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[6,7,1,2,4,3,5]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[6,7,1,2,4,5,3]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[6,7,1,2,5,3,4]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[6,7,1,2,5,4,3]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[6,7,1,3,2,4,5]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[6,7,1,3,2,5,4]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[6,7,1,3,4,2,5]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[6,7,1,3,4,5,2]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[6,7,1,3,5,2,4]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[6,7,1,3,5,4,2]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[6,7,1,4,2,3,5]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[6,7,1,4,2,5,3]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[6,7,1,4,3,2,5]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[6,7,1,4,3,5,2]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[6,7,1,4,5,2,3]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[6,7,1,4,5,3,2]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[6,7,1,5,2,3,4]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[6,7,1,5,2,4,3]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[6,7,1,5,3,2,4]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[6,7,1,5,3,4,2]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[6,7,1,5,4,2,3]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[6,7,1,5,4,3,2]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[6,7,2,1,3,4,5]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[6,7,2,1,3,5,4]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[6,7,2,1,4,3,5]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[6,7,2,1,4,5,3]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[6,7,2,1,5,3,4]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[6,7,2,1,5,4,3]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[6,7,2,3,1,4,5]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,2,3,1,5,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,2,3,4,1,5]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,2,3,4,5,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,2,3,5,1,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,2,3,5,4,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,2,4,1,3,5]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,2,4,1,5,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,2,4,3,1,5]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,2,4,3,5,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,2,4,5,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,2,4,5,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,2,5,1,3,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,2,5,1,4,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,2,5,3,1,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,2,5,3,4,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,2,5,4,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,2,5,4,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,3,1,2,4,5]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,3,1,2,5,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,3,1,4,2,5]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,3,1,4,5,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,3,1,5,2,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,3,1,5,4,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,3,2,1,4,5]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,3,2,1,5,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,3,2,4,1,5]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,3,2,4,5,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,3,2,5,1,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,3,2,5,4,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,3,4,1,2,5]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,3,4,1,5,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,3,4,2,1,5]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,3,4,2,5,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,3,4,5,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,3,5,1,2,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,3,5,1,4,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,3,5,2,1,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,3,5,2,4,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,3,5,4,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,4,1,2,3,5]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,4,1,2,5,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,4,1,3,2,5]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,4,1,3,5,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,4,1,5,2,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,4,1,5,3,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,4,2,1,3,5]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,4,2,1,5,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,4,2,3,1,5]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,4,2,3,5,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,4,2,5,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,4,2,5,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,4,3,1,2,5]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,4,3,1,5,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,4,3,2,1,5]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,4,3,2,5,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,4,3,5,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,4,5,1,2,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,4,5,1,3,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,4,5,2,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,4,5,2,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,4,5,3,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,4,5,3,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,5,1,2,3,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,5,1,2,4,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,5,1,3,2,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,5,1,3,4,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,5,1,4,2,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,5,1,4,3,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,5,2,1,3,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,5,2,1,4,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,5,2,3,1,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,5,2,3,4,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,5,2,4,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,5,2,4,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,5,3,1,2,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,5,3,1,4,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,5,3,2,1,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,5,3,2,4,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,5,3,4,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,5,3,4,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,5,4,1,2,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,5,4,1,3,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,5,4,2,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,5,4,2,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[6,7,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,1,2,3,4,5,6]=>[7,2,3,4,5,6,1]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5},{6}}
[7,1,2,3,4,6,5]=>[7,2,3,4,5,6,1]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5},{6}}
[7,1,2,3,5,4,6]=>[7,2,3,4,6,5,1]=>{{1,7},{2},{3},{4},{5,6}}=>{{1,6},{2},{3},{4},{5,7}}=>{{1,7},{2},{3},{4},{5,6}}
[7,1,2,3,5,6,4]=>[7,2,3,4,6,5,1]=>{{1,7},{2},{3},{4},{5,6}}=>{{1,6},{2},{3},{4},{5,7}}=>{{1,7},{2},{3},{4},{5,6}}
[7,1,2,3,6,4,5]=>[7,2,3,4,6,5,1]=>{{1,7},{2},{3},{4},{5,6}}=>{{1,6},{2},{3},{4},{5,7}}=>{{1,7},{2},{3},{4},{5,6}}
[7,1,2,3,6,5,4]=>[7,2,3,4,6,5,1]=>{{1,7},{2},{3},{4},{5,6}}=>{{1,6},{2},{3},{4},{5,7}}=>{{1,7},{2},{3},{4},{5,6}}
[7,1,2,4,3,5,6]=>[7,2,3,5,4,6,1]=>{{1,7},{2},{3},{4,5},{6}}=>{{1,5},{2},{3},{4,7},{6}}=>{{1,7},{2},{3},{4,5},{6}}
[7,1,2,4,3,6,5]=>[7,2,3,5,4,6,1]=>{{1,7},{2},{3},{4,5},{6}}=>{{1,5},{2},{3},{4,7},{6}}=>{{1,7},{2},{3},{4,5},{6}}
[7,1,2,4,5,3,6]=>[7,2,3,6,5,4,1]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,6},{2},{3},{4,7},{5}}=>{{1,7},{2},{3},{4,6},{5}}
[7,1,2,4,5,6,3]=>[7,2,3,6,5,4,1]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,6},{2},{3},{4,7},{5}}=>{{1,7},{2},{3},{4,6},{5}}
[7,1,2,4,6,3,5]=>[7,2,3,6,5,4,1]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,6},{2},{3},{4,7},{5}}=>{{1,7},{2},{3},{4,6},{5}}
[7,1,2,4,6,5,3]=>[7,2,3,6,5,4,1]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,6},{2},{3},{4,7},{5}}=>{{1,7},{2},{3},{4,6},{5}}
[7,1,2,5,3,4,6]=>[7,2,3,6,5,4,1]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,6},{2},{3},{4,7},{5}}=>{{1,7},{2},{3},{4,6},{5}}
[7,1,2,5,3,6,4]=>[7,2,3,6,5,4,1]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,6},{2},{3},{4,7},{5}}=>{{1,7},{2},{3},{4,6},{5}}
[7,1,2,5,4,3,6]=>[7,2,3,6,5,4,1]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,6},{2},{3},{4,7},{5}}=>{{1,7},{2},{3},{4,6},{5}}
[7,1,2,5,4,6,3]=>[7,2,3,6,5,4,1]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,6},{2},{3},{4,7},{5}}=>{{1,7},{2},{3},{4,6},{5}}
[7,1,2,5,6,3,4]=>[7,2,3,6,5,4,1]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,6},{2},{3},{4,7},{5}}=>{{1,7},{2},{3},{4,6},{5}}
[7,1,2,5,6,4,3]=>[7,2,3,6,5,4,1]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,6},{2},{3},{4,7},{5}}=>{{1,7},{2},{3},{4,6},{5}}
[7,1,2,6,3,4,5]=>[7,2,3,6,5,4,1]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,6},{2},{3},{4,7},{5}}=>{{1,7},{2},{3},{4,6},{5}}
[7,1,2,6,3,5,4]=>[7,2,3,6,5,4,1]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,6},{2},{3},{4,7},{5}}=>{{1,7},{2},{3},{4,6},{5}}
[7,1,2,6,4,3,5]=>[7,2,3,6,5,4,1]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,6},{2},{3},{4,7},{5}}=>{{1,7},{2},{3},{4,6},{5}}
[7,1,2,6,4,5,3]=>[7,2,3,6,5,4,1]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,6},{2},{3},{4,7},{5}}=>{{1,7},{2},{3},{4,6},{5}}
[7,1,2,6,5,3,4]=>[7,2,3,6,5,4,1]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,6},{2},{3},{4,7},{5}}=>{{1,7},{2},{3},{4,6},{5}}
[7,1,2,6,5,4,3]=>[7,2,3,6,5,4,1]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,6},{2},{3},{4,7},{5}}=>{{1,7},{2},{3},{4,6},{5}}
[7,1,3,2,4,5,6]=>[7,2,4,3,5,6,1]=>{{1,7},{2},{3,4},{5},{6}}=>{{1,4},{2},{3,7},{5},{6}}=>{{1,7},{2},{3,4},{5},{6}}
[7,1,3,2,4,6,5]=>[7,2,4,3,5,6,1]=>{{1,7},{2},{3,4},{5},{6}}=>{{1,4},{2},{3,7},{5},{6}}=>{{1,7},{2},{3,4},{5},{6}}
[7,1,3,2,5,4,6]=>[7,2,4,3,6,5,1]=>{{1,7},{2},{3,4},{5,6}}=>{{1,4},{2},{3,6},{5,7}}=>{{1,7},{2},{3,4},{5,6}}
[7,1,3,2,5,6,4]=>[7,2,4,3,6,5,1]=>{{1,7},{2},{3,4},{5,6}}=>{{1,4},{2},{3,6},{5,7}}=>{{1,7},{2},{3,4},{5,6}}
[7,1,3,2,6,4,5]=>[7,2,4,3,6,5,1]=>{{1,7},{2},{3,4},{5,6}}=>{{1,4},{2},{3,6},{5,7}}=>{{1,7},{2},{3,4},{5,6}}
[7,1,3,2,6,5,4]=>[7,2,4,3,6,5,1]=>{{1,7},{2},{3,4},{5,6}}=>{{1,4},{2},{3,6},{5,7}}=>{{1,7},{2},{3,4},{5,6}}
[7,1,3,4,2,5,6]=>[7,2,5,4,3,6,1]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}
[7,1,3,4,2,6,5]=>[7,2,5,4,3,6,1]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}
[7,1,3,4,5,2,6]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[7,1,3,4,5,6,2]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[7,1,3,4,6,2,5]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[7,1,3,4,6,5,2]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[7,1,3,5,2,4,6]=>[7,2,5,6,3,4,1]=>{{1,7},{2},{3,5},{4,6}}=>{{1,6},{2},{3,5},{4,7}}=>{{1,7},{2},{3,5},{4,6}}
[7,1,3,5,2,6,4]=>[7,2,5,6,3,4,1]=>{{1,7},{2},{3,5},{4,6}}=>{{1,6},{2},{3,5},{4,7}}=>{{1,7},{2},{3,5},{4,6}}
[7,1,3,5,4,2,6]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[7,1,3,5,4,6,2]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[7,1,3,5,6,2,4]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[7,1,3,5,6,4,2]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[7,1,3,6,2,4,5]=>[7,2,5,6,3,4,1]=>{{1,7},{2},{3,5},{4,6}}=>{{1,6},{2},{3,5},{4,7}}=>{{1,7},{2},{3,5},{4,6}}
[7,1,3,6,2,5,4]=>[7,2,5,6,3,4,1]=>{{1,7},{2},{3,5},{4,6}}=>{{1,6},{2},{3,5},{4,7}}=>{{1,7},{2},{3,5},{4,6}}
[7,1,3,6,4,2,5]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[7,1,3,6,4,5,2]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[7,1,3,6,5,2,4]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[7,1,3,6,5,4,2]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[7,1,4,2,3,5,6]=>[7,2,5,4,3,6,1]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}
[7,1,4,2,3,6,5]=>[7,2,5,4,3,6,1]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}
[7,1,4,2,5,3,6]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[7,1,4,2,5,6,3]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[7,1,4,2,6,3,5]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[7,1,4,2,6,5,3]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[7,1,4,3,2,5,6]=>[7,2,5,4,3,6,1]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}
[7,1,4,3,2,6,5]=>[7,2,5,4,3,6,1]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}
[7,1,4,3,5,2,6]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[7,1,4,3,5,6,2]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[7,1,4,3,6,2,5]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[7,1,4,3,6,5,2]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[7,1,4,5,2,3,6]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[7,1,4,5,2,6,3]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[7,1,4,5,3,2,6]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[7,1,4,5,3,6,2]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[7,1,4,5,6,2,3]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[7,1,4,5,6,3,2]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[7,1,4,6,2,3,5]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[7,1,4,6,2,5,3]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[7,1,4,6,3,2,5]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[7,1,4,6,3,5,2]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[7,1,4,6,5,2,3]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[7,1,4,6,5,3,2]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[7,1,5,2,3,4,6]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[7,1,5,2,3,6,4]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[7,1,5,2,4,3,6]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[7,1,5,2,4,6,3]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[7,1,5,2,6,3,4]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[7,1,5,2,6,4,3]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[7,1,5,3,2,4,6]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[7,1,5,3,2,6,4]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[7,1,5,3,4,2,6]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[7,1,5,3,4,6,2]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[7,1,5,3,6,2,4]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[7,1,5,3,6,4,2]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[7,1,5,4,2,3,6]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[7,1,5,4,2,6,3]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[7,1,5,4,3,2,6]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[7,1,5,4,3,6,2]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[7,1,5,4,6,2,3]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[7,1,5,4,6,3,2]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[7,1,5,6,2,3,4]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[7,1,5,6,2,4,3]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[7,1,5,6,3,2,4]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[7,1,5,6,3,4,2]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[7,1,5,6,4,2,3]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[7,1,5,6,4,3,2]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[7,1,6,2,3,4,5]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[7,1,6,2,3,5,4]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[7,1,6,2,4,3,5]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[7,1,6,2,4,5,3]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[7,1,6,2,5,3,4]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[7,1,6,2,5,4,3]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
[7,1,6,3,2,4,5]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[7,1,6,3,2,5,4]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[7,1,6,3,4,2,5]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[7,1,6,3,4,5,2]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[7,1,6,3,5,2,4]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[7,1,6,3,5,4,2]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[7,1,6,4,2,3,5]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[7,1,6,4,2,5,3]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[7,1,6,4,3,2,5]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[7,1,6,4,3,5,2]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[7,1,6,4,5,2,3]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[7,1,6,4,5,3,2]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[7,1,6,5,2,3,4]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[7,1,6,5,2,4,3]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[7,1,6,5,3,2,4]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[7,1,6,5,3,4,2]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[7,1,6,5,4,2,3]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[7,1,6,5,4,3,2]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[7,2,1,3,4,5,6]=>[7,3,2,4,5,6,1]=>{{1,7},{2,3},{4},{5},{6}}=>{{1,3},{2,7},{4},{5},{6}}=>{{1,7},{2,3},{4},{5},{6}}
[7,2,1,3,4,6,5]=>[7,3,2,4,5,6,1]=>{{1,7},{2,3},{4},{5},{6}}=>{{1,3},{2,7},{4},{5},{6}}=>{{1,7},{2,3},{4},{5},{6}}
[7,2,1,3,5,4,6]=>[7,3,2,4,6,5,1]=>{{1,7},{2,3},{4},{5,6}}=>{{1,3},{2,6},{4},{5,7}}=>{{1,7},{2,3},{4},{5,6}}
[7,2,1,3,5,6,4]=>[7,3,2,4,6,5,1]=>{{1,7},{2,3},{4},{5,6}}=>{{1,3},{2,6},{4},{5,7}}=>{{1,7},{2,3},{4},{5,6}}
[7,2,1,3,6,4,5]=>[7,3,2,4,6,5,1]=>{{1,7},{2,3},{4},{5,6}}=>{{1,3},{2,6},{4},{5,7}}=>{{1,7},{2,3},{4},{5,6}}
[7,2,1,3,6,5,4]=>[7,3,2,4,6,5,1]=>{{1,7},{2,3},{4},{5,6}}=>{{1,3},{2,6},{4},{5,7}}=>{{1,7},{2,3},{4},{5,6}}
[7,2,1,4,3,5,6]=>[7,3,2,5,4,6,1]=>{{1,7},{2,3},{4,5},{6}}=>{{1,3},{2,5},{4,7},{6}}=>{{1,7},{2,3},{4,5},{6}}
[7,2,1,4,3,6,5]=>[7,3,2,5,4,6,1]=>{{1,7},{2,3},{4,5},{6}}=>{{1,3},{2,5},{4,7},{6}}=>{{1,7},{2,3},{4,5},{6}}
[7,2,1,4,5,3,6]=>[7,3,2,6,5,4,1]=>{{1,7},{2,3},{4,6},{5}}=>{{1,3},{2,6},{4,7},{5}}=>{{1,7},{2,3},{4,6},{5}}
[7,2,1,4,5,6,3]=>[7,3,2,6,5,4,1]=>{{1,7},{2,3},{4,6},{5}}=>{{1,3},{2,6},{4,7},{5}}=>{{1,7},{2,3},{4,6},{5}}
[7,2,1,4,6,3,5]=>[7,3,2,6,5,4,1]=>{{1,7},{2,3},{4,6},{5}}=>{{1,3},{2,6},{4,7},{5}}=>{{1,7},{2,3},{4,6},{5}}
[7,2,1,4,6,5,3]=>[7,3,2,6,5,4,1]=>{{1,7},{2,3},{4,6},{5}}=>{{1,3},{2,6},{4,7},{5}}=>{{1,7},{2,3},{4,6},{5}}
[7,2,1,5,3,4,6]=>[7,3,2,6,5,4,1]=>{{1,7},{2,3},{4,6},{5}}=>{{1,3},{2,6},{4,7},{5}}=>{{1,7},{2,3},{4,6},{5}}
[7,2,1,5,3,6,4]=>[7,3,2,6,5,4,1]=>{{1,7},{2,3},{4,6},{5}}=>{{1,3},{2,6},{4,7},{5}}=>{{1,7},{2,3},{4,6},{5}}
[7,2,1,5,4,3,6]=>[7,3,2,6,5,4,1]=>{{1,7},{2,3},{4,6},{5}}=>{{1,3},{2,6},{4,7},{5}}=>{{1,7},{2,3},{4,6},{5}}
[7,2,1,5,4,6,3]=>[7,3,2,6,5,4,1]=>{{1,7},{2,3},{4,6},{5}}=>{{1,3},{2,6},{4,7},{5}}=>{{1,7},{2,3},{4,6},{5}}
[7,2,1,5,6,3,4]=>[7,3,2,6,5,4,1]=>{{1,7},{2,3},{4,6},{5}}=>{{1,3},{2,6},{4,7},{5}}=>{{1,7},{2,3},{4,6},{5}}
[7,2,1,5,6,4,3]=>[7,3,2,6,5,4,1]=>{{1,7},{2,3},{4,6},{5}}=>{{1,3},{2,6},{4,7},{5}}=>{{1,7},{2,3},{4,6},{5}}
[7,2,1,6,3,4,5]=>[7,3,2,6,5,4,1]=>{{1,7},{2,3},{4,6},{5}}=>{{1,3},{2,6},{4,7},{5}}=>{{1,7},{2,3},{4,6},{5}}
[7,2,1,6,3,5,4]=>[7,3,2,6,5,4,1]=>{{1,7},{2,3},{4,6},{5}}=>{{1,3},{2,6},{4,7},{5}}=>{{1,7},{2,3},{4,6},{5}}
[7,2,1,6,4,3,5]=>[7,3,2,6,5,4,1]=>{{1,7},{2,3},{4,6},{5}}=>{{1,3},{2,6},{4,7},{5}}=>{{1,7},{2,3},{4,6},{5}}
[7,2,1,6,4,5,3]=>[7,3,2,6,5,4,1]=>{{1,7},{2,3},{4,6},{5}}=>{{1,3},{2,6},{4,7},{5}}=>{{1,7},{2,3},{4,6},{5}}
[7,2,1,6,5,3,4]=>[7,3,2,6,5,4,1]=>{{1,7},{2,3},{4,6},{5}}=>{{1,3},{2,6},{4,7},{5}}=>{{1,7},{2,3},{4,6},{5}}
[7,2,1,6,5,4,3]=>[7,3,2,6,5,4,1]=>{{1,7},{2,3},{4,6},{5}}=>{{1,3},{2,6},{4,7},{5}}=>{{1,7},{2,3},{4,6},{5}}
[7,2,3,1,4,5,6]=>[7,4,3,2,5,6,1]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,4},{2,7},{3},{5},{6}}=>{{1,7},{2,4},{3},{5},{6}}
[7,2,3,1,4,6,5]=>[7,4,3,2,5,6,1]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,4},{2,7},{3},{5},{6}}=>{{1,7},{2,4},{3},{5},{6}}
[7,2,3,1,5,4,6]=>[7,4,3,2,6,5,1]=>{{1,7},{2,4},{3},{5,6}}=>{{1,4},{2,6},{3},{5,7}}=>{{1,7},{2,4},{3},{5,6}}
[7,2,3,1,5,6,4]=>[7,4,3,2,6,5,1]=>{{1,7},{2,4},{3},{5,6}}=>{{1,4},{2,6},{3},{5,7}}=>{{1,7},{2,4},{3},{5,6}}
[7,2,3,1,6,4,5]=>[7,4,3,2,6,5,1]=>{{1,7},{2,4},{3},{5,6}}=>{{1,4},{2,6},{3},{5,7}}=>{{1,7},{2,4},{3},{5,6}}
[7,2,3,1,6,5,4]=>[7,4,3,2,6,5,1]=>{{1,7},{2,4},{3},{5,6}}=>{{1,4},{2,6},{3},{5,7}}=>{{1,7},{2,4},{3},{5,6}}
[7,2,3,4,1,5,6]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[7,2,3,4,1,6,5]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[7,2,3,4,5,1,6]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[7,2,3,4,5,6,1]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[7,2,3,4,6,1,5]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[7,2,3,4,6,5,1]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[7,2,3,5,1,4,6]=>[7,5,3,6,2,4,1]=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}
[7,2,3,5,1,6,4]=>[7,5,3,6,2,4,1]=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}
[7,2,3,5,4,1,6]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[7,2,3,5,4,6,1]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[7,2,3,5,6,1,4]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[7,2,3,5,6,4,1]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[7,2,3,6,1,4,5]=>[7,5,3,6,2,4,1]=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}
[7,2,3,6,1,5,4]=>[7,5,3,6,2,4,1]=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}
[7,2,3,6,4,1,5]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[7,2,3,6,4,5,1]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[7,2,3,6,5,1,4]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[7,2,3,6,5,4,1]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[7,2,4,1,3,5,6]=>[7,4,5,2,3,6,1]=>{{1,7},{2,4},{3,5},{6}}=>{{1,5},{2,4},{3,7},{6}}=>{{1,7},{2,4},{3,5},{6}}
[7,2,4,1,3,6,5]=>[7,4,5,2,3,6,1]=>{{1,7},{2,4},{3,5},{6}}=>{{1,5},{2,4},{3,7},{6}}=>{{1,7},{2,4},{3,5},{6}}
[7,2,4,1,5,3,6]=>[7,4,6,2,5,3,1]=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}
[7,2,4,1,5,6,3]=>[7,4,6,2,5,3,1]=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}
[7,2,4,1,6,3,5]=>[7,4,6,2,5,3,1]=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}
[7,2,4,1,6,5,3]=>[7,4,6,2,5,3,1]=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}
[7,2,4,3,1,5,6]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[7,2,4,3,1,6,5]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[7,2,4,3,5,1,6]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[7,2,4,3,5,6,1]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[7,2,4,3,6,1,5]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[7,2,4,3,6,5,1]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[7,2,4,5,1,3,6]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[7,2,4,5,1,6,3]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[7,2,4,5,3,1,6]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,2,4,5,3,6,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,2,4,5,6,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,2,4,5,6,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,2,4,6,1,3,5]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[7,2,4,6,1,5,3]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[7,2,4,6,3,1,5]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,2,4,6,3,5,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,2,4,6,5,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,2,4,6,5,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,2,5,1,3,4,6]=>[7,4,6,2,5,3,1]=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}
[7,2,5,1,3,6,4]=>[7,4,6,2,5,3,1]=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}
[7,2,5,1,4,3,6]=>[7,4,6,2,5,3,1]=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}
[7,2,5,1,4,6,3]=>[7,4,6,2,5,3,1]=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}
[7,2,5,1,6,3,4]=>[7,4,6,2,5,3,1]=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}
[7,2,5,1,6,4,3]=>[7,4,6,2,5,3,1]=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}
[7,2,5,3,1,4,6]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[7,2,5,3,1,6,4]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[7,2,5,3,4,1,6]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,2,5,3,4,6,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,2,5,3,6,1,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,2,5,3,6,4,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,2,5,4,1,3,6]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[7,2,5,4,1,6,3]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[7,2,5,4,3,1,6]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,2,5,4,3,6,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,2,5,4,6,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,2,5,4,6,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,2,5,6,1,3,4]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[7,2,5,6,1,4,3]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[7,2,5,6,3,1,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,2,5,6,3,4,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,2,5,6,4,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,2,5,6,4,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,2,6,1,3,4,5]=>[7,4,6,2,5,3,1]=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}
[7,2,6,1,3,5,4]=>[7,4,6,2,5,3,1]=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}
[7,2,6,1,4,3,5]=>[7,4,6,2,5,3,1]=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}
[7,2,6,1,4,5,3]=>[7,4,6,2,5,3,1]=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}
[7,2,6,1,5,3,4]=>[7,4,6,2,5,3,1]=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}
[7,2,6,1,5,4,3]=>[7,4,6,2,5,3,1]=>{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}
[7,2,6,3,1,4,5]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[7,2,6,3,1,5,4]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[7,2,6,3,4,1,5]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,2,6,3,4,5,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,2,6,3,5,1,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,2,6,3,5,4,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,2,6,4,1,3,5]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[7,2,6,4,1,5,3]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[7,2,6,4,3,1,5]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,2,6,4,3,5,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,2,6,4,5,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,2,6,5,1,3,4]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[7,2,6,5,1,4,3]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[7,2,6,5,3,1,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,2,6,5,3,4,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,2,6,5,4,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,3,1,2,4,5,6]=>[7,4,3,2,5,6,1]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,4},{2,7},{3},{5},{6}}=>{{1,7},{2,4},{3},{5},{6}}
[7,3,1,2,4,6,5]=>[7,4,3,2,5,6,1]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,4},{2,7},{3},{5},{6}}=>{{1,7},{2,4},{3},{5},{6}}
[7,3,1,2,5,4,6]=>[7,4,3,2,6,5,1]=>{{1,7},{2,4},{3},{5,6}}=>{{1,4},{2,6},{3},{5,7}}=>{{1,7},{2,4},{3},{5,6}}
[7,3,1,2,5,6,4]=>[7,4,3,2,6,5,1]=>{{1,7},{2,4},{3},{5,6}}=>{{1,4},{2,6},{3},{5,7}}=>{{1,7},{2,4},{3},{5,6}}
[7,3,1,2,6,4,5]=>[7,4,3,2,6,5,1]=>{{1,7},{2,4},{3},{5,6}}=>{{1,4},{2,6},{3},{5,7}}=>{{1,7},{2,4},{3},{5,6}}
[7,3,1,2,6,5,4]=>[7,4,3,2,6,5,1]=>{{1,7},{2,4},{3},{5,6}}=>{{1,4},{2,6},{3},{5,7}}=>{{1,7},{2,4},{3},{5,6}}
[7,3,1,4,2,5,6]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[7,3,1,4,2,6,5]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[7,3,1,4,5,2,6]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[7,3,1,4,5,6,2]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[7,3,1,4,6,2,5]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[7,3,1,4,6,5,2]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[7,3,1,5,2,4,6]=>[7,5,3,6,2,4,1]=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}
[7,3,1,5,2,6,4]=>[7,5,3,6,2,4,1]=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}
[7,3,1,5,4,2,6]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[7,3,1,5,4,6,2]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[7,3,1,5,6,2,4]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[7,3,1,5,6,4,2]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[7,3,1,6,2,4,5]=>[7,5,3,6,2,4,1]=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}
[7,3,1,6,2,5,4]=>[7,5,3,6,2,4,1]=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}
[7,3,1,6,4,2,5]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[7,3,1,6,4,5,2]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[7,3,1,6,5,2,4]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[7,3,1,6,5,4,2]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[7,3,2,1,4,5,6]=>[7,4,3,2,5,6,1]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,4},{2,7},{3},{5},{6}}=>{{1,7},{2,4},{3},{5},{6}}
[7,3,2,1,4,6,5]=>[7,4,3,2,5,6,1]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,4},{2,7},{3},{5},{6}}=>{{1,7},{2,4},{3},{5},{6}}
[7,3,2,1,5,4,6]=>[7,4,3,2,6,5,1]=>{{1,7},{2,4},{3},{5,6}}=>{{1,4},{2,6},{3},{5,7}}=>{{1,7},{2,4},{3},{5,6}}
[7,3,2,1,5,6,4]=>[7,4,3,2,6,5,1]=>{{1,7},{2,4},{3},{5,6}}=>{{1,4},{2,6},{3},{5,7}}=>{{1,7},{2,4},{3},{5,6}}
[7,3,2,1,6,4,5]=>[7,4,3,2,6,5,1]=>{{1,7},{2,4},{3},{5,6}}=>{{1,4},{2,6},{3},{5,7}}=>{{1,7},{2,4},{3},{5,6}}
[7,3,2,1,6,5,4]=>[7,4,3,2,6,5,1]=>{{1,7},{2,4},{3},{5,6}}=>{{1,4},{2,6},{3},{5,7}}=>{{1,7},{2,4},{3},{5,6}}
[7,3,2,4,1,5,6]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[7,3,2,4,1,6,5]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[7,3,2,4,5,1,6]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[7,3,2,4,5,6,1]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[7,3,2,4,6,1,5]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[7,3,2,4,6,5,1]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[7,3,2,5,1,4,6]=>[7,5,3,6,2,4,1]=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}
[7,3,2,5,1,6,4]=>[7,5,3,6,2,4,1]=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}
[7,3,2,5,4,1,6]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[7,3,2,5,4,6,1]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[7,3,2,5,6,1,4]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[7,3,2,5,6,4,1]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[7,3,2,6,1,4,5]=>[7,5,3,6,2,4,1]=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}
[7,3,2,6,1,5,4]=>[7,5,3,6,2,4,1]=>{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}
[7,3,2,6,4,1,5]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[7,3,2,6,4,5,1]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[7,3,2,6,5,1,4]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[7,3,2,6,5,4,1]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[7,3,4,1,2,5,6]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[7,3,4,1,2,6,5]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[7,3,4,1,5,2,6]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[7,3,4,1,5,6,2]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[7,3,4,1,6,2,5]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[7,3,4,1,6,5,2]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[7,3,4,2,1,5,6]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[7,3,4,2,1,6,5]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[7,3,4,2,5,1,6]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[7,3,4,2,5,6,1]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[7,3,4,2,6,1,5]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[7,3,4,2,6,5,1]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[7,3,4,5,1,2,6]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,3,4,5,1,6,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,3,4,5,2,1,6]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,3,4,5,2,6,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,3,4,5,6,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,3,4,5,6,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,3,4,6,1,2,5]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,3,4,6,1,5,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,3,4,6,2,1,5]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,3,4,6,2,5,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,3,4,6,5,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,3,4,6,5,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,3,5,1,2,4,6]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[7,3,5,1,2,6,4]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[7,3,5,1,4,2,6]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,3,5,1,4,6,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,3,5,1,6,2,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,3,5,1,6,4,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,3,5,2,1,4,6]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[7,3,5,2,1,6,4]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[7,3,5,2,4,1,6]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,3,5,2,4,6,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,3,5,2,6,1,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,3,5,2,6,4,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,3,5,4,1,2,6]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,3,5,4,1,6,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,3,5,4,2,1,6]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,3,5,4,2,6,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,3,5,4,6,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,3,5,4,6,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,3,5,6,1,2,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,3,5,6,1,4,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,3,5,6,2,1,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,3,5,6,2,4,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,3,5,6,4,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,3,5,6,4,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,3,6,1,2,4,5]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[7,3,6,1,2,5,4]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[7,3,6,1,4,2,5]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,3,6,1,4,5,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,3,6,1,5,2,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,3,6,1,5,4,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,3,6,2,1,4,5]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[7,3,6,2,1,5,4]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
[7,3,6,2,4,1,5]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,3,6,2,4,5,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,3,6,2,5,1,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,3,6,2,5,4,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,3,6,4,1,2,5]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,3,6,4,1,5,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,3,6,4,2,1,5]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,3,6,4,2,5,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,3,6,4,5,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,3,6,4,5,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,3,6,5,1,2,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,3,6,5,1,4,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,3,6,5,2,1,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,3,6,5,2,4,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,3,6,5,4,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,3,6,5,4,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,4,1,2,3,5,6]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[7,4,1,2,3,6,5]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[7,4,1,2,5,3,6]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[7,4,1,2,5,6,3]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[7,4,1,2,6,3,5]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[7,4,1,2,6,5,3]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[7,4,1,3,2,5,6]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[7,4,1,3,2,6,5]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
[7,4,1,3,5,2,6]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[7,4,1,3,5,6,2]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[7,4,1,3,6,2,5]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[7,4,1,3,6,5,2]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[7,4,1,5,2,3,6]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[7,4,1,5,2,6,3]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[7,4,1,5,3,2,6]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[7,4,1,5,3,6,2]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[7,4,1,5,6,2,3]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[7,4,1,5,6,3,2]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[7,4,1,6,2,3,5]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[7,4,1,6,2,5,3]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[7,4,1,6,3,2,5]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[7,4,1,6,3,5,2]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[7,4,1,6,5,2,3]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[7,4,1,6,5,3,2]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[7,4,2,1,3,5,6]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[7,4,2,1,3,6,5]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[7,4,2,1,5,3,6]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[7,4,2,1,5,6,3]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[7,4,2,1,6,3,5]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[7,4,2,1,6,5,3]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[7,4,2,3,1,5,6]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[7,4,2,3,1,6,5]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[7,4,2,3,5,1,6]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[7,4,2,3,5,6,1]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[7,4,2,3,6,1,5]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[7,4,2,3,6,5,1]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[7,4,2,5,1,3,6]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,4,2,5,1,6,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,4,2,5,3,1,6]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,4,2,5,3,6,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,4,2,5,6,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,4,2,5,6,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,4,2,6,1,3,5]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,4,2,6,1,5,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,4,2,6,3,1,5]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,4,2,6,3,5,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,4,2,6,5,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,4,2,6,5,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,4,3,1,2,5,6]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[7,4,3,1,2,6,5]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[7,4,3,1,5,2,6]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[7,4,3,1,5,6,2]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[7,4,3,1,6,2,5]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[7,4,3,1,6,5,2]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[7,4,3,2,1,5,6]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[7,4,3,2,1,6,5]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
[7,4,3,2,5,1,6]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[7,4,3,2,5,6,1]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[7,4,3,2,6,1,5]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[7,4,3,2,6,5,1]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[7,4,3,5,1,2,6]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,4,3,5,1,6,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,4,3,5,2,1,6]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,4,3,5,2,6,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,4,3,5,6,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,4,3,5,6,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,4,3,6,1,2,5]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,4,3,6,1,5,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,4,3,6,2,1,5]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,4,3,6,2,5,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,4,3,6,5,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,4,3,6,5,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,4,5,1,2,3,6]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,4,5,1,2,6,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,4,5,1,3,2,6]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,4,5,1,3,6,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,4,5,1,6,2,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,4,5,1,6,3,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,4,5,2,1,3,6]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,4,5,2,1,6,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,4,5,2,3,1,6]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,4,5,2,3,6,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,4,5,2,6,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,4,5,2,6,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,4,5,3,1,2,6]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,4,5,3,1,6,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,4,5,3,2,1,6]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,4,5,3,2,6,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,4,5,3,6,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,4,5,3,6,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,4,5,6,1,2,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,4,5,6,1,3,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,4,5,6,2,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,4,5,6,2,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,4,5,6,3,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,4,5,6,3,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,4,6,1,2,3,5]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,4,6,1,2,5,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,4,6,1,3,2,5]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,4,6,1,3,5,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,4,6,1,5,2,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,4,6,1,5,3,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,4,6,2,1,3,5]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,4,6,2,1,5,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,4,6,2,3,1,5]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,4,6,2,3,5,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,4,6,2,5,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,4,6,3,1,2,5]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,4,6,3,1,5,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,4,6,3,2,1,5]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,4,6,3,2,5,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,4,6,3,5,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,4,6,3,5,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,4,6,5,1,2,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,4,6,5,1,3,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,4,6,5,2,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,4,6,5,2,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,4,6,5,3,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,4,6,5,3,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,1,2,3,4,6]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[7,5,1,2,3,6,4]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[7,5,1,2,4,3,6]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[7,5,1,2,4,6,3]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[7,5,1,2,6,3,4]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[7,5,1,2,6,4,3]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[7,5,1,3,2,4,6]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[7,5,1,3,2,6,4]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[7,5,1,3,4,2,6]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[7,5,1,3,4,6,2]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[7,5,1,3,6,2,4]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[7,5,1,3,6,4,2]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[7,5,1,4,2,3,6]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[7,5,1,4,2,6,3]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[7,5,1,4,3,2,6]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[7,5,1,4,3,6,2]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[7,5,1,4,6,2,3]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[7,5,1,4,6,3,2]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[7,5,1,6,2,3,4]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[7,5,1,6,2,4,3]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[7,5,1,6,3,2,4]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[7,5,1,6,3,4,2]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[7,5,1,6,4,2,3]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[7,5,1,6,4,3,2]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[7,5,2,1,3,4,6]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[7,5,2,1,3,6,4]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[7,5,2,1,4,3,6]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[7,5,2,1,4,6,3]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[7,5,2,1,6,3,4]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[7,5,2,1,6,4,3]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[7,5,2,3,1,4,6]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,2,3,1,6,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,2,3,4,1,6]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,2,3,4,6,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,2,3,6,1,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,2,3,6,4,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,2,4,1,3,6]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,2,4,1,6,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,2,4,3,1,6]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,2,4,3,6,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,2,4,6,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,2,4,6,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,2,6,1,3,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,2,6,1,4,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,2,6,3,1,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,2,6,3,4,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,2,6,4,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,2,6,4,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,3,1,2,4,6]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,3,1,2,6,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,3,1,4,2,6]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,3,1,4,6,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,3,1,6,2,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,3,1,6,4,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,3,2,1,4,6]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,3,2,1,6,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,3,2,4,1,6]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,3,2,4,6,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,3,2,6,1,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,3,2,6,4,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,3,4,1,2,6]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,3,4,1,6,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,3,4,2,1,6]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,3,4,6,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,3,4,6,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,3,6,1,2,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,3,6,1,4,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,3,6,2,1,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,3,6,4,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,3,6,4,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,4,1,2,3,6]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,4,1,2,6,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,4,1,3,2,6]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,4,1,3,6,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,4,1,6,2,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,4,1,6,3,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,4,2,1,3,6]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,4,2,1,6,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,4,2,3,1,6]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,4,2,3,6,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,4,2,6,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,4,2,6,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,4,3,1,2,6]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,4,3,1,6,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,4,3,2,1,6]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,4,3,6,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,4,3,6,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,4,6,1,2,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,4,6,1,3,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,4,6,2,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,4,6,2,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,4,6,3,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,4,6,3,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,6,1,2,3,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,6,1,2,4,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,6,1,3,2,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,6,1,3,4,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,6,1,4,2,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,6,1,4,3,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,6,2,1,3,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,6,2,1,4,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,6,2,3,1,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,6,2,3,4,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,6,2,4,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,6,2,4,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,6,3,1,2,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,6,3,1,4,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,6,3,2,1,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,6,3,2,4,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,6,3,4,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,6,3,4,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,6,4,1,2,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,6,4,1,3,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,6,4,2,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,6,4,3,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,5,6,4,3,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,1,2,3,4,5]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[7,6,1,2,3,5,4]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[7,6,1,2,4,3,5]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[7,6,1,2,4,5,3]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[7,6,1,2,5,3,4]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[7,6,1,2,5,4,3]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[7,6,1,3,2,4,5]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[7,6,1,3,2,5,4]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[7,6,1,3,4,2,5]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[7,6,1,3,4,5,2]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[7,6,1,3,5,2,4]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[7,6,1,3,5,4,2]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[7,6,1,4,2,3,5]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[7,6,1,4,2,5,3]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[7,6,1,4,3,2,5]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[7,6,1,4,3,5,2]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[7,6,1,4,5,2,3]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[7,6,1,4,5,3,2]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[7,6,1,5,2,3,4]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[7,6,1,5,2,4,3]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[7,6,1,5,3,2,4]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[7,6,1,5,3,4,2]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[7,6,1,5,4,2,3]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[7,6,1,5,4,3,2]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
[7,6,2,1,3,4,5]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[7,6,2,1,3,5,4]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[7,6,2,1,4,3,5]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[7,6,2,1,4,5,3]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[7,6,2,1,5,3,4]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[7,6,2,1,5,4,3]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
[7,6,2,3,1,4,5]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,2,3,1,5,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,2,3,4,1,5]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,2,3,4,5,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,2,3,5,1,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,2,3,5,4,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,2,4,1,3,5]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,2,4,1,5,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,2,4,3,1,5]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,2,4,3,5,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,2,4,5,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,2,4,5,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,2,5,1,3,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,2,5,1,4,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,2,5,3,1,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,2,5,3,4,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,2,5,4,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,2,5,4,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,3,1,2,4,5]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,3,1,2,5,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,3,1,4,2,5]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,3,1,4,5,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,3,1,5,2,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,3,1,5,4,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,3,2,1,4,5]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,3,2,1,5,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,3,2,4,1,5]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,3,2,4,5,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,3,2,5,1,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,3,2,5,4,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,3,4,1,2,5]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,3,4,1,5,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,3,4,2,1,5]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,3,4,2,5,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,3,4,5,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,3,5,1,2,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,3,5,1,4,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,3,5,2,1,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,3,5,2,4,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,3,5,4,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,4,1,2,3,5]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,4,1,2,5,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,4,1,3,2,5]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,4,1,3,5,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,4,1,5,2,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,4,1,5,3,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,4,2,1,3,5]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,4,2,1,5,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,4,2,3,1,5]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,4,2,3,5,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,4,2,5,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,4,2,5,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,4,3,1,2,5]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,4,3,1,5,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,4,3,2,1,5]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,4,3,2,5,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,4,3,5,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,4,5,1,2,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,4,5,1,3,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,4,5,2,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,4,5,2,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,4,5,3,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,4,5,3,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,5,1,2,3,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,5,1,2,4,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,5,1,3,2,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,5,1,3,4,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,5,1,4,2,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,5,1,4,3,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,5,2,1,3,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,5,2,1,4,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,5,2,3,1,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,5,2,3,4,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,5,2,4,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,5,2,4,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,5,3,1,2,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,5,3,1,4,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,5,3,2,1,4]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,5,3,2,4,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,5,3,4,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,5,3,4,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,5,4,1,2,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,5,4,1,3,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,5,4,2,1,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,5,4,2,3,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,7,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,6,8,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,7,8,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,5,6,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,5,6,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,5,7,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,5,6,7,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,6,5,8,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,7,5,8,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,5,6,8,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,5,7,8,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,6,7,8,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,7,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,6,8,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,5,4,6,3,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,5,4,7,3,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,5,6,4,7,3,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,4,5,7,3,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,6,5,4,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[6,7,5,4,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,5,6,4,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[6,5,7,4,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[5,6,7,4,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,6,4,5,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[6,7,4,5,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,5,4,6,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,4,5,6,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[6,5,4,7,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[5,6,4,7,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[6,4,5,7,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[5,4,6,7,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[4,5,6,7,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,7,6,5,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,6,5,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,6,8,5,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,5,6,7,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,6,5,8,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,7,5,8,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,6,7,8,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,6,4,3,5,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,6,4,3,5,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,6,8,4,3,5,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,7,8,4,3,5,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,6,3,4,5,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,6,3,4,5,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,7,3,4,5,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,6,8,3,4,5,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,7,8,3,4,5,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,5,3,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,6,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,6,8,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,5,6,7,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,6,5,8,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,7,5,8,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,5,6,8,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,6,7,8,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,6,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,6,8,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,7,8,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,5,4,6,2,3,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,4,5,6,2,3,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,5,4,7,2,3,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,5,6,4,7,2,3,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,4,5,7,2,3,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,5,6,4,8,2,3,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[6,5,7,4,8,2,3,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[4,5,6,7,8,2,3,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,7,6,5,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,6,5,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,7,5,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,6,8,5,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,7,8,5,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,5,6,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,6,5,8,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,7,5,8,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,6,7,8,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,6,5,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,7,5,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,6,8,5,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,7,8,5,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,5,6,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,5,6,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,5,7,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,5,6,7,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,6,5,8,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,7,5,8,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,5,7,8,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,6,7,8,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,6,4,3,2,5,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,6,4,3,2,5,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,7,4,3,2,5,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,6,8,4,3,2,5,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,7,8,4,3,2,5,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,6,3,4,2,5,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,7,3,4,2,5,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,6,8,3,4,2,5,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,6,8,4,2,3,5,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,7,8,4,2,3,5,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,7,3,2,4,5,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,7,8,3,2,4,5,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,6,2,3,4,5,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,6,2,3,4,5,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,7,2,3,4,5,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,6,8,2,3,4,5,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,7,8,2,3,4,5,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,5,3,4,2,6,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,5,3,4,2,6,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,4,3,5,2,6,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,5,3,2,4,6,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,4,3,2,5,6,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,3,4,2,5,6,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,3,2,4,5,6,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,5,6,3,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,4,5,3,6,2,7,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,5,6,4,2,3,7,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,4,2,3,5,7,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,5,6,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,5,6,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,6,5,8,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,7,5,8,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,5,6,8,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,6,7,8,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,7,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,5,4,6,3,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,4,5,6,3,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,5,6,4,7,3,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,5,7,4,8,3,1,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,6,4,5,8,3,1,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[6,7,4,5,8,3,1,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[5,6,4,7,8,3,1,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[4,5,6,7,8,3,1,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,7,6,5,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,6,5,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,7,8,5,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,5,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,5,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,5,6,7,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,6,5,8,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,7,5,8,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,5,6,8,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,5,7,8,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,6,7,8,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,6,3,4,5,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,6,3,4,5,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,4,5,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,4,5,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,5,3,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,4,3,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,4,3,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,3,4,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,5,4,6,3,7,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,5,4,3,6,7,1,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,5,3,4,6,7,1,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,4,3,5,6,7,1,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,7,6,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,7,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,5,6,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,5,6,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,6,5,8,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,7,5,8,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,5,6,8,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,5,7,8,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,6,7,8,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,4,5,6,2,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,7,5,4,8,2,1,3]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,5,6,4,8,2,1,3]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,6,4,5,8,2,1,3]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[4,5,6,7,8,2,1,3]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,7,6,5,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,7,8,5,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,5,6,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,5,6,7,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,6,5,8,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,7,5,8,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,5,6,8,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,5,7,8,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,6,7,8,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,7,4,5,1,2,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,5,4,6,1,2,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,5,4,7,1,2,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,5,6,4,7,1,2,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,4,5,7,1,2,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,6,5,4,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[6,7,5,4,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,5,6,4,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[6,5,7,4,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[5,6,7,4,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,6,4,5,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[6,7,4,5,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,5,4,6,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,4,5,6,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[6,5,4,7,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[5,6,4,7,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[6,4,5,7,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[5,4,6,7,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[4,5,6,7,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,7,6,5,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,6,5,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,7,5,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,6,8,5,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,7,8,5,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,5,6,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,5,6,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,5,7,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,5,6,7,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,7,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,5,6,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,5,7,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,6,7,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,6,5,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,6,5,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,7,5,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,6,8,5,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,7,8,5,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,5,6,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,5,6,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,5,7,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,5,6,7,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,6,5,8,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,7,5,8,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,5,6,8,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,5,7,8,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,6,7,8,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,6,5,3,1,2,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,6,5,3,1,2,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,5,6,3,1,2,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,6,5,8,3,1,2,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,7,5,8,3,1,2,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,5,6,8,3,1,2,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,5,7,8,3,1,2,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,6,7,8,3,1,2,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,6,5,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,6,8,5,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,7,8,5,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,5,6,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,5,7,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,5,6,7,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,6,5,8,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,7,5,8,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,5,6,8,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,5,7,8,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,6,7,8,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,6,5,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,6,5,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,7,5,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,6,8,5,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,7,8,5,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,5,6,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,5,6,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,5,7,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,5,6,7,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,6,5,8,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,7,5,8,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,5,6,8,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,5,7,8,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,6,7,8,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,6,4,3,2,1,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,6,4,3,2,1,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,7,4,3,2,1,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,6,8,4,3,2,1,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,7,8,4,3,2,1,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,6,3,4,2,1,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,6,3,4,2,1,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,7,8,3,4,2,1,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,6,4,2,3,1,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,6,8,4,2,3,1,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,7,8,4,2,3,1,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,6,3,2,4,1,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,7,3,2,4,1,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,7,8,3,2,4,1,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,6,2,3,4,1,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,7,8,2,3,4,1,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,6,4,3,1,2,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,7,8,4,3,1,2,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,6,3,4,1,2,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,7,8,3,4,1,2,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,6,4,2,1,3,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,6,4,2,1,3,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,7,4,2,1,3,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,7,8,4,2,1,3,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,6,4,1,2,3,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,6,4,1,2,3,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,6,8,4,1,2,3,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,7,8,4,1,2,3,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,6,3,2,1,4,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,6,8,3,2,1,4,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,7,8,3,2,1,4,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,6,2,3,1,4,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,6,8,2,3,1,4,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,7,8,2,3,1,4,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,6,3,1,2,4,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,6,3,1,2,4,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,7,8,3,1,2,4,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,6,2,1,3,4,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,6,2,1,3,4,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,7,8,2,1,3,4,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,6,1,2,3,4,5]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,8,6,1,2,3,4,5]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,6,7,1,2,3,4,5]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,6,8,1,2,3,4,5]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[6,7,8,1,2,3,4,5]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,7,5,4,3,2,1,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,5,4,3,2,1,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,5,3,4,2,1,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,3,4,5,2,1,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,3,4,5,2,1,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,4,5,2,3,1,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,4,5,2,3,1,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,5,3,2,4,1,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,4,3,2,5,1,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,4,3,2,5,1,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,3,4,2,5,1,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,3,4,2,5,1,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,5,4,3,1,2,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,5,4,3,1,2,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,5,3,4,1,2,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,5,3,4,1,2,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,5,4,2,1,3,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,5,4,1,2,3,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,4,5,1,2,3,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,5,3,2,1,4,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,5,3,2,1,4,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,5,2,3,1,4,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,5,3,1,2,4,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,5,3,1,2,4,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,5,2,1,3,4,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,5,2,1,3,4,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,5,1,2,3,4,6]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,8,5,1,2,3,4,6]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,7,4,3,2,1,5,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,4,3,2,1,5,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,3,4,2,1,5,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,3,4,2,1,5,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,4,2,3,1,5,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,3,2,4,1,5,6]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,8,3,2,4,1,5,6]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,8,2,3,4,1,5,6]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,8,4,3,1,2,5,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,3,4,1,2,5,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,3,4,1,2,5,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,4,2,1,3,5,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,4,1,2,3,5,6]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,6,5,4,3,2,1,7]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,5,6,4,3,2,1,7]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,4,5,6,3,2,1,7]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,5,3,4,2,1,7]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,5,6,3,4,2,1,7]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,4,5,3,6,2,1,7]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,3,4,5,6,2,1,7]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,6,5,4,2,3,1,7]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,5,6,4,2,3,1,7]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,5,3,2,4,1,7]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,5,2,3,4,1,7]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,5,6,2,3,4,1,7]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,4,2,3,5,1,7]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,3,2,4,5,1,7]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,6,4,5,3,1,2,7]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,5,6,3,4,1,2,7]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,3,4,5,1,2,7]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,4,5,3,6,1,2,7]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,4,3,5,6,1,2,7]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,3,4,5,6,1,2,7]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,6,5,4,2,1,3,7]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,5,6,4,2,1,3,7]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,5,6,4,1,2,3,7]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,4,5,6,1,2,3,7]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,5,3,2,1,4,7]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,5,6,3,2,1,4,7]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,5,2,3,1,4,7]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,5,6,2,3,1,4,7]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,5,6,3,1,2,4,7]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,5,2,1,3,4,7]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,5,6,2,1,3,4,7]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,5,1,2,3,4,7]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,5,6,1,2,3,4,7]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,6,4,3,2,1,5,7]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,3,4,2,1,5,7]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,4,2,3,1,5,7]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,3,2,4,1,5,7]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,6,3,4,1,2,5,7]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,4,2,1,3,5,7]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,4,1,2,3,5,7]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[6,7,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[7,5,6,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[6,5,7,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[5,6,7,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[7,6,4,5,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[7,4,5,6,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[6,5,4,7,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[5,6,4,7,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[4,5,6,7,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[7,6,5,3,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[6,7,5,3,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[7,5,6,3,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[6,5,7,3,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[5,6,7,3,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[7,4,5,3,6,2,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[7,3,4,5,6,2,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[5,6,7,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[7,6,4,5,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[6,7,4,5,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[7,4,5,6,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[6,5,4,7,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[5,6,4,7,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[5,4,6,7,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[4,5,6,7,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[5,6,7,3,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[7,6,5,2,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[6,7,5,2,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[7,5,6,2,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[6,5,7,2,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[5,6,7,2,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[6,7,4,3,2,5,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[6,7,3,4,2,5,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[7,6,4,2,3,5,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[7,6,3,2,4,5,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[6,7,3,2,4,5,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[7,6,2,3,4,5,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[6,7,2,3,4,5,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[7,4,5,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[7,5,3,4,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[7,4,3,5,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[7,4,5,2,3,6,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[7,5,3,2,4,6,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[7,4,5,6,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[5,4,6,7,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[4,5,6,7,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[7,5,6,3,4,1,2,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[6,5,7,3,4,1,2,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[6,7,3,4,5,1,2,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[7,5,3,4,6,1,2,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[7,4,5,6,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[4,5,6,7,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[7,6,5,4,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[7,5,6,4,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[5,6,7,4,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[7,6,4,5,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[7,5,4,6,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[7,4,5,6,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[5,6,4,7,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[5,4,6,7,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[4,5,6,7,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[7,6,5,2,3,1,4,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[6,7,5,2,3,1,4,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[7,5,6,2,3,1,4,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[6,5,7,2,3,1,4,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[5,6,7,2,3,1,4,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[7,5,6,3,1,2,4,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[5,6,7,3,1,2,4,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[7,6,5,2,1,3,4,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[5,6,7,2,1,3,4,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[7,6,5,1,2,3,4,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[6,7,5,1,2,3,4,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[7,5,6,1,2,3,4,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[6,5,7,1,2,3,4,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[5,6,7,1,2,3,4,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[7,6,4,3,2,1,5,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[6,7,4,3,2,1,5,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[6,7,3,4,2,1,5,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[7,6,4,2,3,1,5,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[7,6,3,2,4,1,5,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[7,6,2,3,4,1,5,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[6,7,2,3,4,1,5,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[7,6,4,2,1,3,5,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[7,6,3,2,1,4,5,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[6,7,3,2,1,4,5,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[7,6,2,3,1,4,5,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[6,7,3,1,2,4,5,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[7,5,2,3,4,1,6,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[7,5,3,4,1,2,6,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[7,4,5,1,2,3,6,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[7,5,3,2,1,4,6,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[7,5,3,1,2,4,6,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>{{1,5},{2,4},{3},{6},{7},{8}}=>{{1,4},{2,5},{3},{6},{7},{8}}=>{{1,5},{2,4},{3},{6},{7},{8}}
[4,5,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>{{1,5},{2,4},{3},{6},{7},{8}}=>{{1,4},{2,5},{3},{6},{7},{8}}=>{{1,5},{2,4},{3},{6},{7},{8}}
[5,3,4,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>{{1,5},{2,4},{3},{6},{7},{8}}=>{{1,4},{2,5},{3},{6},{7},{8}}=>{{1,5},{2,4},{3},{6},{7},{8}}
[4,3,5,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>{{1,5},{2,4},{3},{6},{7},{8}}=>{{1,4},{2,5},{3},{6},{7},{8}}=>{{1,5},{2,4},{3},{6},{7},{8}}
[3,4,5,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>{{1,5},{2,4},{3},{6},{7},{8}}=>{{1,4},{2,5},{3},{6},{7},{8}}=>{{1,5},{2,4},{3},{6},{7},{8}}
[5,4,2,3,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>{{1,5},{2,4},{3},{6},{7},{8}}=>{{1,4},{2,5},{3},{6},{7},{8}}=>{{1,5},{2,4},{3},{6},{7},{8}}
[4,5,2,3,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>{{1,5},{2,4},{3},{6},{7},{8}}=>{{1,4},{2,5},{3},{6},{7},{8}}=>{{1,5},{2,4},{3},{6},{7},{8}}
[5,3,2,4,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>{{1,5},{2,4},{3},{6},{7},{8}}=>{{1,4},{2,5},{3},{6},{7},{8}}=>{{1,5},{2,4},{3},{6},{7},{8}}
[5,2,3,4,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>{{1,5},{2,4},{3},{6},{7},{8}}=>{{1,4},{2,5},{3},{6},{7},{8}}=>{{1,5},{2,4},{3},{6},{7},{8}}
[3,2,4,5,1,6,7,8]=>[5,2,3,4,1,6,7,8]=>{{1,5},{2},{3},{4},{6},{7},{8}}=>{{1,5},{2},{3},{4},{6},{7},{8}}=>{{1,5},{2},{3},{4},{6},{7},{8}}
[2,3,4,5,1,6,7,8]=>[5,2,3,4,1,6,7,8]=>{{1,5},{2},{3},{4},{6},{7},{8}}=>{{1,5},{2},{3},{4},{6},{7},{8}}=>{{1,5},{2},{3},{4},{6},{7},{8}}
[5,4,3,1,2,6,7,8]=>[5,4,3,2,1,6,7,8]=>{{1,5},{2,4},{3},{6},{7},{8}}=>{{1,4},{2,5},{3},{6},{7},{8}}=>{{1,5},{2,4},{3},{6},{7},{8}}
[5,3,4,1,2,6,7,8]=>[5,4,3,2,1,6,7,8]=>{{1,5},{2,4},{3},{6},{7},{8}}=>{{1,4},{2,5},{3},{6},{7},{8}}=>{{1,5},{2,4},{3},{6},{7},{8}}
[5,4,2,1,3,6,7,8]=>[5,4,3,2,1,6,7,8]=>{{1,5},{2,4},{3},{6},{7},{8}}=>{{1,4},{2,5},{3},{6},{7},{8}}=>{{1,5},{2,4},{3},{6},{7},{8}}
[5,4,1,2,3,6,7,8]=>[5,4,3,2,1,6,7,8]=>{{1,5},{2,4},{3},{6},{7},{8}}=>{{1,4},{2,5},{3},{6},{7},{8}}=>{{1,5},{2,4},{3},{6},{7},{8}}
[4,5,1,2,3,6,7,8]=>[5,4,3,2,1,6,7,8]=>{{1,5},{2,4},{3},{6},{7},{8}}=>{{1,4},{2,5},{3},{6},{7},{8}}=>{{1,5},{2,4},{3},{6},{7},{8}}
[5,3,2,1,4,6,7,8]=>[5,4,3,2,1,6,7,8]=>{{1,5},{2,4},{3},{6},{7},{8}}=>{{1,4},{2,5},{3},{6},{7},{8}}=>{{1,5},{2,4},{3},{6},{7},{8}}
[5,2,3,1,4,6,7,8]=>[5,4,3,2,1,6,7,8]=>{{1,5},{2,4},{3},{6},{7},{8}}=>{{1,4},{2,5},{3},{6},{7},{8}}=>{{1,5},{2,4},{3},{6},{7},{8}}
[5,3,1,2,4,6,7,8]=>[5,4,3,2,1,6,7,8]=>{{1,5},{2,4},{3},{6},{7},{8}}=>{{1,4},{2,5},{3},{6},{7},{8}}=>{{1,5},{2,4},{3},{6},{7},{8}}
[5,1,2,3,4,6,7,8]=>[5,2,3,4,1,6,7,8]=>{{1,5},{2},{3},{4},{6},{7},{8}}=>{{1,5},{2},{3},{4},{6},{7},{8}}=>{{1,5},{2},{3},{4},{6},{7},{8}}
[4,3,2,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>{{1,4},{2,3},{5},{6},{7},{8}}=>{{1,3},{2,4},{5},{6},{7},{8}}=>{{1,4},{2,3},{5},{6},{7},{8}}
[3,4,2,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>{{1,4},{2,3},{5},{6},{7},{8}}=>{{1,3},{2,4},{5},{6},{7},{8}}=>{{1,4},{2,3},{5},{6},{7},{8}}
[4,2,3,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>{{1,4},{2,3},{5},{6},{7},{8}}=>{{1,3},{2,4},{5},{6},{7},{8}}=>{{1,4},{2,3},{5},{6},{7},{8}}
[4,3,1,2,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>{{1,4},{2,3},{5},{6},{7},{8}}=>{{1,3},{2,4},{5},{6},{7},{8}}=>{{1,4},{2,3},{5},{6},{7},{8}}
[3,4,1,2,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>{{1,4},{2,3},{5},{6},{7},{8}}=>{{1,3},{2,4},{5},{6},{7},{8}}=>{{1,4},{2,3},{5},{6},{7},{8}}
[4,2,1,3,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>{{1,4},{2,3},{5},{6},{7},{8}}=>{{1,3},{2,4},{5},{6},{7},{8}}=>{{1,4},{2,3},{5},{6},{7},{8}}
[3,2,1,4,5,6,7,8]=>[3,2,1,4,5,6,7,8]=>{{1,3},{2},{4},{5},{6},{7},{8}}=>{{1,3},{2},{4},{5},{6},{7},{8}}=>{{1,3},{2},{4},{5},{6},{7},{8}}
[2,3,1,4,5,6,7,8]=>[3,2,1,4,5,6,7,8]=>{{1,3},{2},{4},{5},{6},{7},{8}}=>{{1,3},{2},{4},{5},{6},{7},{8}}=>{{1,3},{2},{4},{5},{6},{7},{8}}
[3,1,2,4,5,6,7,8]=>[3,2,1,4,5,6,7,8]=>{{1,3},{2},{4},{5},{6},{7},{8}}=>{{1,3},{2},{4},{5},{6},{7},{8}}=>{{1,3},{2},{4},{5},{6},{7},{8}}
[2,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7,8]=>{{1,2},{3},{4},{5},{6},{7},{8}}=>{{1,2},{3},{4},{5},{6},{7},{8}}=>{{1,2},{3},{4},{5},{6},{7},{8}}
[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>{{1},{2},{3},{4},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5},{6},{7},{8}}
[6,8,7,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,8,7,6,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,7,8,6,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,5,8,7,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,6,8,7,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,7,6,8,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,8,7,6,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,7,8,6,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,6,8,7,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,7,6,8,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,6,7,8,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,5,8,7,6,3,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,5,7,8,6,3,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,6,5,8,7,3,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,5,6,8,7,3,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,7,6,4,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[4,7,6,5,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[4,6,7,5,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[5,4,7,6,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[4,5,7,6,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[4,6,5,7,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[3,8,7,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[3,5,8,7,6,4,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[3,5,7,8,6,4,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[3,5,6,8,7,4,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[3,7,6,5,8,4,2,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[3,6,7,5,8,4,2,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[3,5,6,7,8,4,2,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[4,3,6,7,8,5,2,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[3,4,8,7,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[3,4,6,7,8,5,2,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[4,5,6,3,8,7,2,1]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}
[4,3,6,5,8,7,2,1]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}
[2,8,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,7,6,8,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,5,6,7,8,4,3,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[2,4,8,7,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,4,6,8,7,5,3,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,4,6,7,8,5,3,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[2,5,6,4,8,7,3,1]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}
[2,4,6,5,8,7,3,1]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}
[4,3,2,8,7,6,5,1]=>[8,3,2,7,6,5,4,1]=>{{1,8},{2,3},{4,7},{5,6}}=>{{1,3},{2,6},{4,7},{5,8}}=>{{1,8},{2,3},{4,7},{5,6}}
[4,3,2,7,8,6,5,1]=>[8,3,2,7,6,5,4,1]=>{{1,8},{2,3},{4,7},{5,6}}=>{{1,3},{2,6},{4,7},{5,8}}=>{{1,8},{2,3},{4,7},{5,6}}
[4,3,2,6,8,7,5,1]=>[8,3,2,7,6,5,4,1]=>{{1,8},{2,3},{4,7},{5,6}}=>{{1,3},{2,6},{4,7},{5,8}}=>{{1,8},{2,3},{4,7},{5,6}}
[3,4,2,8,7,6,5,1]=>[8,3,2,7,6,5,4,1]=>{{1,8},{2,3},{4,7},{5,6}}=>{{1,3},{2,6},{4,7},{5,8}}=>{{1,8},{2,3},{4,7},{5,6}}
[3,4,2,7,8,6,5,1]=>[8,3,2,7,6,5,4,1]=>{{1,8},{2,3},{4,7},{5,6}}=>{{1,3},{2,6},{4,7},{5,8}}=>{{1,8},{2,3},{4,7},{5,6}}
[2,4,3,8,7,6,5,1]=>[8,3,2,7,6,5,4,1]=>{{1,8},{2,3},{4,7},{5,6}}=>{{1,3},{2,6},{4,7},{5,8}}=>{{1,8},{2,3},{4,7},{5,6}}
[2,4,3,6,8,7,5,1]=>[8,3,2,7,6,5,4,1]=>{{1,8},{2,3},{4,7},{5,6}}=>{{1,3},{2,6},{4,7},{5,8}}=>{{1,8},{2,3},{4,7},{5,6}}
[6,5,4,3,2,8,7,1]=>[8,5,4,3,2,7,6,1]=>{{1,8},{2,5},{3,4},{6,7}}=>{{1,4},{2,5},{3,7},{6,8}}=>{{1,8},{2,5},{3,4},{6,7}}
[4,6,5,3,2,8,7,1]=>[8,5,4,3,2,7,6,1]=>{{1,8},{2,5},{3,4},{6,7}}=>{{1,4},{2,5},{3,7},{6,8}}=>{{1,8},{2,5},{3,4},{6,7}}
[5,4,6,3,2,8,7,1]=>[8,5,4,3,2,7,6,1]=>{{1,8},{2,5},{3,4},{6,7}}=>{{1,4},{2,5},{3,7},{6,8}}=>{{1,8},{2,5},{3,4},{6,7}}
[4,5,6,3,2,8,7,1]=>[8,5,4,3,2,7,6,1]=>{{1,8},{2,5},{3,4},{6,7}}=>{{1,4},{2,5},{3,7},{6,8}}=>{{1,8},{2,5},{3,4},{6,7}}
[3,6,5,4,2,8,7,1]=>[8,5,4,3,2,7,6,1]=>{{1,8},{2,5},{3,4},{6,7}}=>{{1,4},{2,5},{3,7},{6,8}}=>{{1,8},{2,5},{3,4},{6,7}}
[3,5,6,4,2,8,7,1]=>[8,5,4,3,2,7,6,1]=>{{1,8},{2,5},{3,4},{6,7}}=>{{1,4},{2,5},{3,7},{6,8}}=>{{1,8},{2,5},{3,4},{6,7}}
[4,3,6,5,2,8,7,1]=>[8,5,4,3,2,7,6,1]=>{{1,8},{2,5},{3,4},{6,7}}=>{{1,4},{2,5},{3,7},{6,8}}=>{{1,8},{2,5},{3,4},{6,7}}
[2,6,5,4,3,8,7,1]=>[8,5,4,3,2,7,6,1]=>{{1,8},{2,5},{3,4},{6,7}}=>{{1,4},{2,5},{3,7},{6,8}}=>{{1,8},{2,5},{3,4},{6,7}}
[2,4,6,5,3,8,7,1]=>[8,5,4,3,2,7,6,1]=>{{1,8},{2,5},{3,4},{6,7}}=>{{1,4},{2,5},{3,7},{6,8}}=>{{1,8},{2,5},{3,4},{6,7}}
[4,3,2,6,5,8,7,1]=>[8,3,2,5,4,7,6,1]=>{{1,8},{2,3},{4,5},{6,7}}=>{{1,3},{2,5},{4,7},{6,8}}=>{{1,8},{2,3},{4,5},{6,7}}
[3,4,2,6,5,8,7,1]=>[8,3,2,5,4,7,6,1]=>{{1,8},{2,3},{4,5},{6,7}}=>{{1,3},{2,5},{4,7},{6,8}}=>{{1,8},{2,3},{4,5},{6,7}}
[2,4,3,6,5,8,7,1]=>[8,3,2,5,4,7,6,1]=>{{1,8},{2,3},{4,5},{6,7}}=>{{1,3},{2,5},{4,7},{6,8}}=>{{1,8},{2,3},{4,5},{6,7}}
[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[1,7,8,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[1,6,8,7,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[1,7,6,8,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[1,6,7,8,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[1,7,6,5,8,4,3,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[1,6,7,5,8,4,3,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[1,5,7,6,8,4,3,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[1,6,5,7,8,4,3,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[1,5,6,7,8,4,3,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[1,4,8,7,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[1,4,7,8,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[1,4,6,8,7,5,3,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[1,4,6,7,8,5,3,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[1,5,4,7,8,6,3,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[1,4,5,7,8,6,3,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[1,3,8,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[1,3,6,8,7,5,4,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[1,3,6,7,8,5,4,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[1,3,5,8,7,6,4,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[1,3,5,7,8,6,4,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,2},{3,8},{4,7},{5,6}}
[2,1,7,8,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,2},{3,8},{4,7},{5,6}}
[2,1,6,8,7,5,4,3]=>[2,1,8,7,6,5,4,3]=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,2},{3,8},{4,7},{5,6}}
[2,1,7,6,8,5,4,3]=>[2,1,8,7,6,5,4,3]=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,2},{3,8},{4,7},{5,6}}
[2,1,6,7,8,5,4,3]=>[2,1,8,7,6,5,4,3]=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,2},{3,8},{4,7},{5,6}}
[2,1,5,8,7,6,4,3]=>[2,1,8,7,6,5,4,3]=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,2},{3,8},{4,7},{5,6}}
[2,1,5,7,8,6,4,3]=>[2,1,8,7,6,5,4,3]=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,2},{3,8},{4,7},{5,6}}
[2,1,6,5,8,7,4,3]=>[2,1,8,7,6,5,4,3]=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,2},{3,8},{4,7},{5,6}}
[2,1,4,8,7,6,5,3]=>[2,1,8,7,6,5,4,3]=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,2},{3,8},{4,7},{5,6}}
[2,1,4,7,8,6,5,3]=>[2,1,8,7,6,5,4,3]=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,2},{3,8},{4,7},{5,6}}
[2,1,4,6,8,7,5,3]=>[2,1,8,7,6,5,4,3]=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,2},{3,8},{4,7},{5,6}}
[2,1,4,6,5,8,7,3]=>[2,1,8,5,4,7,6,3]=>{{1,2},{3,8},{4,5},{6,7}}=>{{1,2},{3,5},{4,7},{6,8}}=>{{1,2},{3,8},{4,5},{6,7}}
[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>{{1,3},{2},{4,8},{5,7},{6}}=>{{1,3},{2},{4,7},{5,8},{6}}=>{{1,3},{2},{4,8},{5,7},{6}}
[3,2,1,7,8,6,5,4]=>[3,2,1,8,7,6,5,4]=>{{1,3},{2},{4,8},{5,7},{6}}=>{{1,3},{2},{4,7},{5,8},{6}}=>{{1,3},{2},{4,8},{5,7},{6}}
[3,2,1,6,8,7,5,4]=>[3,2,1,8,7,6,5,4]=>{{1,3},{2},{4,8},{5,7},{6}}=>{{1,3},{2},{4,7},{5,8},{6}}=>{{1,3},{2},{4,8},{5,7},{6}}
[3,2,1,7,6,8,5,4]=>[3,2,1,8,7,6,5,4]=>{{1,3},{2},{4,8},{5,7},{6}}=>{{1,3},{2},{4,7},{5,8},{6}}=>{{1,3},{2},{4,8},{5,7},{6}}
[3,2,1,6,7,8,5,4]=>[3,2,1,8,7,6,5,4]=>{{1,3},{2},{4,8},{5,7},{6}}=>{{1,3},{2},{4,7},{5,8},{6}}=>{{1,3},{2},{4,8},{5,7},{6}}
[3,2,1,5,8,7,6,4]=>[3,2,1,8,7,6,5,4]=>{{1,3},{2},{4,8},{5,7},{6}}=>{{1,3},{2},{4,7},{5,8},{6}}=>{{1,3},{2},{4,8},{5,7},{6}}
[3,2,1,5,7,8,6,4]=>[3,2,1,8,7,6,5,4]=>{{1,3},{2},{4,8},{5,7},{6}}=>{{1,3},{2},{4,7},{5,8},{6}}=>{{1,3},{2},{4,8},{5,7},{6}}
[2,3,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>{{1,3},{2},{4,8},{5,7},{6}}=>{{1,3},{2},{4,7},{5,8},{6}}=>{{1,3},{2},{4,8},{5,7},{6}}
[2,3,1,6,8,7,5,4]=>[3,2,1,8,7,6,5,4]=>{{1,3},{2},{4,8},{5,7},{6}}=>{{1,3},{2},{4,7},{5,8},{6}}=>{{1,3},{2},{4,8},{5,7},{6}}
[2,3,1,7,6,8,5,4]=>[3,2,1,8,7,6,5,4]=>{{1,3},{2},{4,8},{5,7},{6}}=>{{1,3},{2},{4,7},{5,8},{6}}=>{{1,3},{2},{4,8},{5,7},{6}}
[2,3,1,6,7,8,5,4]=>[3,2,1,8,7,6,5,4]=>{{1,3},{2},{4,8},{5,7},{6}}=>{{1,3},{2},{4,7},{5,8},{6}}=>{{1,3},{2},{4,8},{5,7},{6}}
[1,2,3,8,7,6,5,4]=>[1,2,3,8,7,6,5,4]=>{{1},{2},{3},{4,8},{5,7},{6}}=>{{1},{2},{3},{4,7},{5,8},{6}}=>{{1},{2},{3},{4,8},{5,7},{6}}
[1,2,3,7,8,6,5,4]=>[1,2,3,8,7,6,5,4]=>{{1},{2},{3},{4,8},{5,7},{6}}=>{{1},{2},{3},{4,7},{5,8},{6}}=>{{1},{2},{3},{4,8},{5,7},{6}}
[1,2,3,6,8,7,5,4]=>[1,2,3,8,7,6,5,4]=>{{1},{2},{3},{4,8},{5,7},{6}}=>{{1},{2},{3},{4,7},{5,8},{6}}=>{{1},{2},{3},{4,8},{5,7},{6}}
[1,2,3,7,6,8,5,4]=>[1,2,3,8,7,6,5,4]=>{{1},{2},{3},{4,8},{5,7},{6}}=>{{1},{2},{3},{4,7},{5,8},{6}}=>{{1},{2},{3},{4,8},{5,7},{6}}
[1,2,3,6,7,8,5,4]=>[1,2,3,8,7,6,5,4]=>{{1},{2},{3},{4,8},{5,7},{6}}=>{{1},{2},{3},{4,7},{5,8},{6}}=>{{1},{2},{3},{4,8},{5,7},{6}}
[1,2,3,5,8,7,6,4]=>[1,2,3,8,7,6,5,4]=>{{1},{2},{3},{4,8},{5,7},{6}}=>{{1},{2},{3},{4,7},{5,8},{6}}=>{{1},{2},{3},{4,8},{5,7},{6}}
[1,2,3,5,7,8,6,4]=>[1,2,3,8,7,6,5,4]=>{{1},{2},{3},{4,8},{5,7},{6}}=>{{1},{2},{3},{4,7},{5,8},{6}}=>{{1},{2},{3},{4,8},{5,7},{6}}
[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>{{1,4},{2,3},{5,8},{6,7}}=>{{1,3},{2,4},{5,7},{6,8}}=>{{1,4},{2,3},{5,8},{6,7}}
[4,3,2,1,7,8,6,5]=>[4,3,2,1,8,7,6,5]=>{{1,4},{2,3},{5,8},{6,7}}=>{{1,3},{2,4},{5,7},{6,8}}=>{{1,4},{2,3},{5,8},{6,7}}
[4,3,2,1,6,8,7,5]=>[4,3,2,1,8,7,6,5]=>{{1,4},{2,3},{5,8},{6,7}}=>{{1,3},{2,4},{5,7},{6,8}}=>{{1,4},{2,3},{5,8},{6,7}}
[3,4,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>{{1,4},{2,3},{5,8},{6,7}}=>{{1,3},{2,4},{5,7},{6,8}}=>{{1,4},{2,3},{5,8},{6,7}}
[3,4,2,1,7,8,6,5]=>[4,3,2,1,8,7,6,5]=>{{1,4},{2,3},{5,8},{6,7}}=>{{1,3},{2,4},{5,7},{6,8}}=>{{1,4},{2,3},{5,8},{6,7}}
[3,4,2,1,6,8,7,5]=>[4,3,2,1,8,7,6,5]=>{{1,4},{2,3},{5,8},{6,7}}=>{{1,3},{2,4},{5,7},{6,8}}=>{{1,4},{2,3},{5,8},{6,7}}
[2,4,3,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>{{1,4},{2,3},{5,8},{6,7}}=>{{1,3},{2,4},{5,7},{6,8}}=>{{1,4},{2,3},{5,8},{6,7}}
[2,4,3,1,6,8,7,5]=>[4,3,2,1,8,7,6,5]=>{{1,4},{2,3},{5,8},{6,7}}=>{{1,3},{2,4},{5,7},{6,8}}=>{{1,4},{2,3},{5,8},{6,7}}
[3,2,4,1,7,6,8,5]=>[4,2,3,1,8,6,7,5]=>{{1,4},{2},{3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,8},{6},{7}}
[3,2,4,1,6,7,8,5]=>[4,2,3,1,8,6,7,5]=>{{1,4},{2},{3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,8},{6},{7}}
[2,3,4,1,7,6,8,5]=>[4,2,3,1,8,6,7,5]=>{{1,4},{2},{3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,8},{6},{7}}
[2,3,4,1,6,7,8,5]=>[4,2,3,1,8,6,7,5]=>{{1,4},{2},{3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,8},{6},{7}}
[2,1,4,3,8,7,6,5]=>[2,1,4,3,8,7,6,5]=>{{1,2},{3,4},{5,8},{6,7}}=>{{1,2},{3,4},{5,7},{6,8}}=>{{1,2},{3,4},{5,8},{6,7}}
[2,1,4,3,7,8,6,5]=>[2,1,4,3,8,7,6,5]=>{{1,2},{3,4},{5,8},{6,7}}=>{{1,2},{3,4},{5,7},{6,8}}=>{{1,2},{3,4},{5,8},{6,7}}
[2,1,4,3,6,8,7,5]=>[2,1,4,3,8,7,6,5]=>{{1,2},{3,4},{5,8},{6,7}}=>{{1,2},{3,4},{5,7},{6,8}}=>{{1,2},{3,4},{5,8},{6,7}}
[2,1,4,3,7,6,8,5]=>[2,1,4,3,8,6,7,5]=>{{1,2},{3,4},{5,8},{6},{7}}=>{{1,2},{3,4},{5,8},{6},{7}}=>{{1,2},{3,4},{5,8},{6},{7}}
[2,1,4,3,6,7,8,5]=>[2,1,4,3,8,6,7,5]=>{{1,2},{3,4},{5,8},{6},{7}}=>{{1,2},{3,4},{5,8},{6},{7}}=>{{1,2},{3,4},{5,8},{6},{7}}
[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>{{1,4},{2,5},{3,6},{7,8}}=>{{1,6},{2,5},{3,4},{7,8}}
[5,6,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>{{1,4},{2,5},{3,6},{7,8}}=>{{1,6},{2,5},{3,4},{7,8}}
[4,6,5,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>{{1,4},{2,5},{3,6},{7,8}}=>{{1,6},{2,5},{3,4},{7,8}}
[5,4,6,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>{{1,4},{2,5},{3,6},{7,8}}=>{{1,6},{2,5},{3,4},{7,8}}
[4,5,6,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>{{1,4},{2,5},{3,6},{7,8}}=>{{1,6},{2,5},{3,4},{7,8}}
[3,6,5,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>{{1,4},{2,5},{3,6},{7,8}}=>{{1,6},{2,5},{3,4},{7,8}}
[3,5,6,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>{{1,4},{2,5},{3,6},{7,8}}=>{{1,6},{2,5},{3,4},{7,8}}
[4,3,6,5,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>{{1,4},{2,5},{3,6},{7,8}}=>{{1,6},{2,5},{3,4},{7,8}}
[2,6,5,4,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>{{1,4},{2,5},{3,6},{7,8}}=>{{1,6},{2,5},{3,4},{7,8}}
[2,5,6,4,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>{{1,4},{2,5},{3,6},{7,8}}=>{{1,6},{2,5},{3,4},{7,8}}
[2,4,6,5,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>{{1,4},{2,5},{3,6},{7,8}}=>{{1,6},{2,5},{3,4},{7,8}}
[2,4,3,6,5,1,8,7]=>[6,3,2,5,4,1,8,7]=>{{1,6},{2,3},{4,5},{7,8}}=>{{1,3},{2,5},{4,6},{7,8}}=>{{1,6},{2,3},{4,5},{7,8}}
[2,1,6,5,4,3,8,7]=>[2,1,6,5,4,3,8,7]=>{{1,2},{3,6},{4,5},{7,8}}=>{{1,2},{3,5},{4,6},{7,8}}=>{{1,2},{3,6},{4,5},{7,8}}
[2,1,5,6,4,3,8,7]=>[2,1,6,5,4,3,8,7]=>{{1,2},{3,6},{4,5},{7,8}}=>{{1,2},{3,5},{4,6},{7,8}}=>{{1,2},{3,6},{4,5},{7,8}}
[2,1,4,6,5,3,8,7]=>[2,1,6,5,4,3,8,7]=>{{1,2},{3,6},{4,5},{7,8}}=>{{1,2},{3,5},{4,6},{7,8}}=>{{1,2},{3,6},{4,5},{7,8}}
[2,1,5,4,6,3,8,7]=>[2,1,6,4,5,3,8,7]=>{{1,2},{3,6},{4},{5},{7,8}}=>{{1,2},{3,6},{4},{5},{7,8}}=>{{1,2},{3,6},{4},{5},{7,8}}
[2,1,4,5,6,3,8,7]=>[2,1,6,4,5,3,8,7]=>{{1,2},{3,6},{4},{5},{7,8}}=>{{1,2},{3,6},{4},{5},{7,8}}=>{{1,2},{3,6},{4},{5},{7,8}}
[4,3,2,1,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>{{1,4},{2,3},{5,6},{7,8}}=>{{1,3},{2,4},{5,6},{7,8}}=>{{1,4},{2,3},{5,6},{7,8}}
[3,4,2,1,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>{{1,4},{2,3},{5,6},{7,8}}=>{{1,3},{2,4},{5,6},{7,8}}=>{{1,4},{2,3},{5,6},{7,8}}
[2,4,3,1,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>{{1,4},{2,3},{5,6},{7,8}}=>{{1,3},{2,4},{5,6},{7,8}}=>{{1,4},{2,3},{5,6},{7,8}}
[3,2,4,1,6,5,8,7]=>[4,2,3,1,6,5,8,7]=>{{1,4},{2},{3},{5,6},{7,8}}=>{{1,4},{2},{3},{5,6},{7,8}}=>{{1,4},{2},{3},{5,6},{7,8}}
[2,3,4,1,6,5,8,7]=>[4,2,3,1,6,5,8,7]=>{{1,4},{2},{3},{5,6},{7,8}}=>{{1,4},{2},{3},{5,6},{7,8}}=>{{1,4},{2},{3},{5,6},{7,8}}
[2,1,4,3,6,5,8,7]=>[2,1,4,3,6,5,8,7]=>{{1,2},{3,4},{5,6},{7,8}}=>{{1,2},{3,4},{5,6},{7,8}}=>{{1,2},{3,4},{5,6},{7,8}}
[1,2,4,3,6,5,8,7]=>[1,2,4,3,6,5,8,7]=>{{1},{2},{3,4},{5,6},{7,8}}=>{{1},{2},{3,4},{5,6},{7,8}}=>{{1},{2},{3,4},{5,6},{7,8}}
[1,2,3,4,6,5,8,7]=>[1,2,3,4,6,5,8,7]=>{{1},{2},{3},{4},{5,6},{7,8}}=>{{1},{2},{3},{4},{5,6},{7,8}}=>{{1},{2},{3},{4},{5,6},{7,8}}
[2,1,5,4,3,6,8,7]=>[2,1,5,4,3,6,8,7]=>{{1,2},{3,5},{4},{6},{7,8}}=>{{1,2},{3,5},{4},{6},{7,8}}=>{{1,2},{3,5},{4},{6},{7,8}}
[2,1,4,5,3,6,8,7]=>[2,1,5,4,3,6,8,7]=>{{1,2},{3,5},{4},{6},{7,8}}=>{{1,2},{3,5},{4},{6},{7,8}}=>{{1,2},{3,5},{4},{6},{7,8}}
[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>{{1},{2},{3},{4},{5},{6},{7,8}}=>{{1},{2},{3},{4},{5},{6},{7,8}}=>{{1},{2},{3},{4},{5},{6},{7,8}}
[5,7,6,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[4,7,6,5,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[4,6,7,5,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[4,5,7,6,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[4,6,5,7,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[3,5,7,6,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[3,5,6,7,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[3,4,7,6,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[2,5,6,7,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[2,4,6,7,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[3,2,1,6,5,7,4,8]=>[3,2,1,7,5,6,4,8]=>{{1,3},{2},{4,7},{5},{6},{8}}=>{{1,3},{2},{4,7},{5},{6},{8}}=>{{1,3},{2},{4,7},{5},{6},{8}}
[3,2,1,5,6,7,4,8]=>[3,2,1,7,5,6,4,8]=>{{1,3},{2},{4,7},{5},{6},{8}}=>{{1,3},{2},{4,7},{5},{6},{8}}=>{{1,3},{2},{4,7},{5},{6},{8}}
[2,3,1,6,5,7,4,8]=>[3,2,1,7,5,6,4,8]=>{{1,3},{2},{4,7},{5},{6},{8}}=>{{1,3},{2},{4,7},{5},{6},{8}}=>{{1,3},{2},{4,7},{5},{6},{8}}
[2,3,1,5,6,7,4,8]=>[3,2,1,7,5,6,4,8]=>{{1,3},{2},{4,7},{5},{6},{8}}=>{{1,3},{2},{4,7},{5},{6},{8}}=>{{1,3},{2},{4,7},{5},{6},{8}}
[3,2,1,4,7,6,5,8]=>[3,2,1,4,7,6,5,8]=>{{1,3},{2},{4},{5,7},{6},{8}}=>{{1,3},{2},{4},{5,7},{6},{8}}=>{{1,3},{2},{4},{5,7},{6},{8}}
[2,3,1,4,6,7,5,8]=>[3,2,1,4,7,6,5,8]=>{{1,3},{2},{4},{5,7},{6},{8}}=>{{1,3},{2},{4},{5,7},{6},{8}}=>{{1,3},{2},{4},{5,7},{6},{8}}
[3,2,1,5,4,7,6,8]=>[3,2,1,5,4,7,6,8]=>{{1,3},{2},{4,5},{6,7},{8}}=>{{1,3},{2},{4,5},{6,7},{8}}=>{{1,3},{2},{4,5},{6,7},{8}}
[2,3,1,5,4,7,6,8]=>[3,2,1,5,4,7,6,8]=>{{1,3},{2},{4,5},{6,7},{8}}=>{{1,3},{2},{4,5},{6,7},{8}}=>{{1,3},{2},{4,5},{6,7},{8}}
[1,3,2,5,4,7,6,8]=>[1,3,2,5,4,7,6,8]=>{{1},{2,3},{4,5},{6,7},{8}}=>{{1},{2,3},{4,5},{6,7},{8}}=>{{1},{2,3},{4,5},{6,7},{8}}
[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>{{1},{2},{3},{4,5},{6,7},{8}}=>{{1},{2},{3},{4,5},{6,7},{8}}=>{{1},{2},{3},{4,5},{6,7},{8}}
[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>{{1},{2,3},{4},{5},{6,7},{8}}=>{{1},{2,3},{4},{5},{6,7},{8}}=>{{1},{2,3},{4},{5},{6,7},{8}}
[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>{{1},{2},{3},{4},{5},{6,7},{8}}=>{{1},{2},{3},{4},{5},{6,7},{8}}=>{{1},{2},{3},{4},{5},{6,7},{8}}
[2,1,4,3,6,5,7,8]=>[2,1,4,3,6,5,7,8]=>{{1,2},{3,4},{5,6},{7},{8}}=>{{1,2},{3,4},{5,6},{7},{8}}=>{{1,2},{3,4},{5,6},{7},{8}}
[3,5,4,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>{{1,5},{2,4},{3},{6},{7},{8}}=>{{1,4},{2,5},{3},{6},{7},{8}}=>{{1,5},{2,4},{3},{6},{7},{8}}
[2,5,4,3,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>{{1,5},{2,4},{3},{6},{7},{8}}=>{{1,4},{2,5},{3},{6},{7},{8}}=>{{1,5},{2,4},{3},{6},{7},{8}}
[2,4,5,3,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>{{1,5},{2,4},{3},{6},{7},{8}}=>{{1,4},{2,5},{3},{6},{7},{8}}=>{{1,5},{2,4},{3},{6},{7},{8}}
[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>{{1},{2,3},{4,5},{6},{7},{8}}=>{{1},{2,3},{4,5},{6},{7},{8}}=>{{1},{2,3},{4,5},{6},{7},{8}}
[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>{{1},{2},{3},{4,5},{6},{7},{8}}=>{{1},{2},{3},{4,5},{6},{7},{8}}=>{{1},{2},{3},{4,5},{6},{7},{8}}
[2,4,3,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>{{1,4},{2,3},{5},{6},{7},{8}}=>{{1,3},{2,4},{5},{6},{7},{8}}=>{{1,4},{2,3},{5},{6},{7},{8}}
[2,1,4,3,5,6,7,8]=>[2,1,4,3,5,6,7,8]=>{{1,2},{3,4},{5},{6},{7},{8}}=>{{1,2},{3,4},{5},{6},{7},{8}}=>{{1,2},{3,4},{5},{6},{7},{8}}
[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>{{1},{2,3},{4},{5},{6},{7},{8}}=>{{1},{2,3},{4},{5},{6},{7},{8}}=>{{1},{2,3},{4},{5},{6},{7},{8}}
[1,2,3,5,8,6,7,4]=>[1,2,3,8,7,6,5,4]=>{{1},{2},{3},{4,8},{5,7},{6}}=>{{1},{2},{3},{4,7},{5,8},{6}}=>{{1},{2},{3},{4,8},{5,7},{6}}
[1,2,3,8,5,6,7,4]=>[1,2,3,8,7,6,5,4]=>{{1},{2},{3},{4,8},{5,7},{6}}=>{{1},{2},{3},{4,7},{5,8},{6}}=>{{1},{2},{3},{4,8},{5,7},{6}}
[1,2,3,8,5,7,6,4]=>[1,2,3,8,7,6,5,4]=>{{1},{2},{3},{4,8},{5,7},{6}}=>{{1},{2},{3},{4,7},{5,8},{6}}=>{{1},{2},{3},{4,8},{5,7},{6}}
[1,2,3,8,6,5,7,4]=>[1,2,3,8,7,6,5,4]=>{{1},{2},{3},{4,8},{5,7},{6}}=>{{1},{2},{3},{4,7},{5,8},{6}}=>{{1},{2},{3},{4,8},{5,7},{6}}
[1,2,3,8,6,7,5,4]=>[1,2,3,8,7,6,5,4]=>{{1},{2},{3},{4,8},{5,7},{6}}=>{{1},{2},{3},{4,7},{5,8},{6}}=>{{1},{2},{3},{4,8},{5,7},{6}}
[1,3,8,5,6,7,4,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[1,3,8,5,7,6,4,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[1,3,8,6,5,7,4,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[1,3,8,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[1,8,3,5,6,4,7,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[1,8,3,5,7,6,4,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[1,8,3,6,5,4,7,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[1,8,3,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[1,8,4,5,6,3,7,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[1,8,4,5,6,7,3,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[1,8,4,6,5,7,3,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[1,8,4,7,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[1,8,5,4,6,3,7,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[1,8,5,4,6,7,3,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[1,8,5,4,7,6,3,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[1,8,6,4,5,7,3,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[1,8,6,5,4,7,3,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[1,8,7,5,6,4,3,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[2,1,4,3,8,6,7,5]=>[2,1,4,3,8,7,6,5]=>{{1,2},{3,4},{5,8},{6,7}}=>{{1,2},{3,4},{5,7},{6,8}}=>{{1,2},{3,4},{5,8},{6,7}}
[2,1,4,8,6,5,7,3]=>[2,1,8,7,6,5,4,3]=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,2},{3,8},{4,7},{5,6}}
[2,1,4,8,6,7,5,3]=>[2,1,8,7,6,5,4,3]=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,2},{3,8},{4,7},{5,6}}
[2,1,6,4,5,3,8,7]=>[2,1,6,5,4,3,8,7]=>{{1,2},{3,6},{4,5},{7,8}}=>{{1,2},{3,5},{4,6},{7,8}}=>{{1,2},{3,6},{4,5},{7,8}}
[2,1,6,4,5,8,7,3]=>[2,1,8,5,4,7,6,3]=>{{1,2},{3,8},{4,5},{6,7}}=>{{1,2},{3,5},{4,7},{6,8}}=>{{1,2},{3,8},{4,5},{6,7}}
[2,1,8,4,6,5,7,3]=>[2,1,8,7,6,5,4,3]=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,2},{3,8},{4,7},{5,6}}
[2,1,8,4,6,7,5,3]=>[2,1,8,7,6,5,4,3]=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,2},{3,8},{4,7},{5,6}}
[2,1,8,4,7,6,5,3]=>[2,1,8,7,6,5,4,3]=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,2},{3,8},{4,7},{5,6}}
[2,1,8,5,6,4,7,3]=>[2,1,8,7,6,5,4,3]=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,2},{3,8},{4,7},{5,6}}
[2,1,8,5,7,6,4,3]=>[2,1,8,7,6,5,4,3]=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,2},{3,8},{4,7},{5,6}}
[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,2},{3,8},{4,7},{5,6}}
[2,3,1,5,8,6,7,4]=>[3,2,1,8,7,6,5,4]=>{{1,3},{2},{4,8},{5,7},{6}}=>{{1,3},{2},{4,7},{5,8},{6}}=>{{1,3},{2},{4,8},{5,7},{6}}
[2,3,1,8,5,6,7,4]=>[3,2,1,8,7,6,5,4]=>{{1,3},{2},{4,8},{5,7},{6}}=>{{1,3},{2},{4,7},{5,8},{6}}=>{{1,3},{2},{4,8},{5,7},{6}}
[2,3,1,8,6,7,5,4]=>[3,2,1,8,7,6,5,4]=>{{1,3},{2},{4,8},{5,7},{6}}=>{{1,3},{2},{4,7},{5,8},{6}}=>{{1,3},{2},{4,8},{5,7},{6}}
[2,4,3,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>{{1,4},{2,3},{5,8},{6,7}}=>{{1,3},{2,4},{5,7},{6,8}}=>{{1,4},{2,3},{5,8},{6,7}}
[2,4,3,8,6,7,5,1]=>[8,3,2,7,6,5,4,1]=>{{1,8},{2,3},{4,7},{5,6}}=>{{1,3},{2,6},{4,7},{5,8}}=>{{1,8},{2,3},{4,7},{5,6}}
[2,5,3,4,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>{{1,5},{2,4},{3},{6},{7},{8}}=>{{1,4},{2,5},{3},{6},{7},{8}}=>{{1,5},{2,4},{3},{6},{7},{8}}
[2,8,4,3,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}
[2,6,4,5,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>{{1,4},{2,5},{3,6},{7,8}}=>{{1,6},{2,5},{3,4},{7,8}}
[2,6,4,5,3,8,7,1]=>[8,5,4,3,2,7,6,1]=>{{1,8},{2,5},{3,4},{6,7}}=>{{1,4},{2,5},{3,7},{6,8}}=>{{1,8},{2,5},{3,4},{6,7}}
[2,7,4,5,6,3,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[2,8,5,4,7,6,3,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[2,8,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,8,7,5,6,4,3,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[3,2,1,5,8,6,7,4]=>[3,2,1,8,7,6,5,4]=>{{1,3},{2},{4,8},{5,7},{6}}=>{{1,3},{2},{4,7},{5,8},{6}}=>{{1,3},{2},{4,8},{5,7},{6}}
[3,2,1,8,5,6,7,4]=>[3,2,1,8,7,6,5,4]=>{{1,3},{2},{4,8},{5,7},{6}}=>{{1,3},{2},{4,7},{5,8},{6}}=>{{1,3},{2},{4,8},{5,7},{6}}
[3,2,1,8,5,7,6,4]=>[3,2,1,8,7,6,5,4]=>{{1,3},{2},{4,8},{5,7},{6}}=>{{1,3},{2},{4,7},{5,8},{6}}=>{{1,3},{2},{4,8},{5,7},{6}}
[3,2,1,8,6,5,7,4]=>[3,2,1,8,7,6,5,4]=>{{1,3},{2},{4,8},{5,7},{6}}=>{{1,3},{2},{4,7},{5,8},{6}}=>{{1,3},{2},{4,8},{5,7},{6}}
[3,2,1,8,6,7,5,4]=>[3,2,1,8,7,6,5,4]=>{{1,3},{2},{4,8},{5,7},{6}}=>{{1,3},{2},{4,7},{5,8},{6}}=>{{1,3},{2},{4,8},{5,7},{6}}
[4,2,3,1,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>{{1,4},{2,3},{5,6},{7,8}}=>{{1,3},{2,4},{5,6},{7,8}}=>{{1,4},{2,3},{5,6},{7,8}}
[4,2,3,1,6,8,7,5]=>[4,3,2,1,8,7,6,5]=>{{1,4},{2,3},{5,8},{6,7}}=>{{1,3},{2,4},{5,7},{6,8}}=>{{1,4},{2,3},{5,8},{6,7}}
[4,2,3,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>{{1,4},{2,3},{5,8},{6,7}}=>{{1,3},{2,4},{5,7},{6,8}}=>{{1,4},{2,3},{5,8},{6,7}}
[4,2,3,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>{{1,4},{2,3},{5,8},{6,7}}=>{{1,3},{2,4},{5,7},{6,8}}=>{{1,4},{2,3},{5,8},{6,7}}
[4,2,3,6,5,1,8,7]=>[6,3,2,5,4,1,8,7]=>{{1,6},{2,3},{4,5},{7,8}}=>{{1,3},{2,5},{4,6},{7,8}}=>{{1,6},{2,3},{4,5},{7,8}}
[4,2,3,6,5,8,7,1]=>[8,3,2,5,4,7,6,1]=>{{1,8},{2,3},{4,5},{6,7}}=>{{1,3},{2,5},{4,7},{6,8}}=>{{1,8},{2,3},{4,5},{6,7}}
[4,2,3,8,6,7,5,1]=>[8,3,2,7,6,5,4,1]=>{{1,8},{2,3},{4,7},{5,6}}=>{{1,3},{2,6},{4,7},{5,8}}=>{{1,8},{2,3},{4,7},{5,6}}
[4,2,3,8,7,6,5,1]=>[8,3,2,7,6,5,4,1]=>{{1,8},{2,3},{4,7},{5,6}}=>{{1,3},{2,6},{4,7},{5,8}}=>{{1,8},{2,3},{4,7},{5,6}}
[5,2,4,3,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>{{1,5},{2,4},{3},{6},{7},{8}}=>{{1,4},{2,5},{3},{6},{7},{8}}=>{{1,5},{2,4},{3},{6},{7},{8}}
[6,2,4,3,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>{{1,4},{2,5},{3,6},{7,8}}=>{{1,6},{2,5},{3,4},{7,8}}
[8,2,4,3,6,5,7,1]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}
[8,2,4,3,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}
[6,2,4,5,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>{{1,4},{2,5},{3,6},{7,8}}=>{{1,6},{2,5},{3,4},{7,8}}
[6,2,4,5,3,8,7,1]=>[8,5,4,3,2,7,6,1]=>{{1,8},{2,5},{3,4},{6,7}}=>{{1,4},{2,5},{3,7},{6,8}}=>{{1,8},{2,5},{3,4},{6,7}}
[7,2,4,5,3,6,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[8,2,4,7,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,2,4,7,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,2,5,4,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>{{1,4},{2,5},{3,6},{7,8}}=>{{1,6},{2,5},{3,4},{7,8}}
[7,2,5,4,3,6,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[8,2,5,4,7,6,3,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,2,6,4,5,7,3,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,2,7,5,6,4,3,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,3,2,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>{{1,4},{2,3},{5,8},{6,7}}=>{{1,3},{2,4},{5,7},{6,8}}=>{{1,4},{2,3},{5,8},{6,7}}
[4,3,2,8,6,7,5,1]=>[8,3,2,7,6,5,4,1]=>{{1,8},{2,3},{4,7},{5,6}}=>{{1,3},{2,6},{4,7},{5,8}}=>{{1,8},{2,3},{4,7},{5,6}}
[6,3,4,2,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>{{1,4},{2,5},{3,6},{7,8}}=>{{1,6},{2,5},{3,4},{7,8}}
[7,3,4,6,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[6,3,5,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>{{1,4},{2,5},{3,6},{7,8}}=>{{1,6},{2,5},{3,4},{7,8}}
[7,3,5,4,6,2,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[8,3,5,4,7,6,2,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,3,6,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[8,3,6,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,3,7,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,3,6,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[8,3,7,5,6,4,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,4,3,2,6,7,5,1]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}
[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}
[6,4,3,5,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>{{1,4},{2,5},{3,6},{7,8}}=>{{1,6},{2,5},{3,4},{7,8}}
[8,4,3,5,7,6,2,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,4,3,6,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[8,4,3,7,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>{{1,4},{2,5},{3,6},{7,8}}=>{{1,6},{2,5},{3,4},{7,8}}
[8,5,3,4,7,6,2,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,3,5,6,4,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,5,4,3,7,6,2,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,4,1,3,6,5,8,7]=>[3,4,1,2,6,5,8,7]=>{{1,3},{2,4},{5,6},{7,8}}=>{{1,4},{2,3},{5,6},{7,8}}=>{{1,3},{2,4},{5,6},{7,8}}
[2,1,4,6,3,5,8,7]=>[2,1,5,6,3,4,8,7]=>{{1,2},{3,5},{4,6},{7,8}}=>{{1,2},{3,6},{4,5},{7,8}}=>{{1,2},{3,5},{4,6},{7,8}}
[2,4,1,6,3,5,8,7]=>[3,5,1,6,2,4,8,7]=>{{1,3},{2,5},{4,6},{7,8}}=>{{1,6},{2,3},{4,5},{7,8}}=>{{1,3},{2,5},{4,6},{7,8}}
[2,4,6,1,3,5,8,7]=>[4,5,6,1,2,3,8,7]=>{{1,4},{2,5},{3,6},{7,8}}=>{{1,6},{2,5},{3,4},{7,8}}=>{{1,4},{2,5},{3,6},{7,8}}
[2,1,4,3,6,8,5,7]=>[2,1,4,3,7,8,5,6]=>{{1,2},{3,4},{5,7},{6,8}}=>{{1,2},{3,4},{5,8},{6,7}}=>{{1,2},{3,4},{5,7},{6,8}}
[2,4,1,3,6,8,5,7]=>[3,4,1,2,7,8,5,6]=>{{1,3},{2,4},{5,7},{6,8}}=>{{1,4},{2,3},{5,8},{6,7}}=>{{1,3},{2,4},{5,7},{6,8}}
[2,1,4,6,3,8,5,7]=>[2,1,5,7,3,8,4,6]=>{{1,2},{3,5},{4,7},{6,8}}=>{{1,2},{3,8},{4,5},{6,7}}=>{{1,2},{3,5},{4,7},{6,8}}
[2,4,1,6,3,8,5,7]=>[3,5,1,7,2,8,4,6]=>{{1,3},{2,5},{4,7},{6,8}}=>{{1,8},{2,3},{4,5},{6,7}}=>{{1,3},{2,5},{4,7},{6,8}}
[2,4,6,1,3,8,5,7]=>[4,5,7,1,2,8,3,6]=>{{1,4},{2,5},{3,7},{6,8}}=>{{1,8},{2,5},{3,4},{6,7}}=>{{1,4},{2,5},{3,7},{6,8}}
[2,1,4,6,8,3,5,7]=>[2,1,6,7,8,3,4,5]=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,2},{3,6},{4,7},{5,8}}
[2,4,1,6,8,3,5,7]=>[3,6,1,7,8,2,4,5]=>{{1,3},{2,6},{4,7},{5,8}}=>{{1,8},{2,3},{4,7},{5,6}}=>{{1,3},{2,6},{4,7},{5,8}}
[2,4,6,1,8,3,5,7]=>[4,6,7,1,8,2,3,5]=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}
[2,4,6,8,1,3,5,7]=>[5,6,7,8,1,2,3,4]=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}
[2,4,6,7,1,3,5,8]=>[5,6,7,4,1,2,3,8]=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}
[2,1,4,3,7,5,8,6]=>[2,1,4,3,8,6,7,5]=>{{1,2},{3,4},{5,8},{6},{7}}=>{{1,2},{3,4},{5,8},{6},{7}}=>{{1,2},{3,4},{5,8},{6},{7}}
[2,1,4,3,7,8,5,6]=>[2,1,4,3,8,7,6,5]=>{{1,2},{3,4},{5,8},{6,7}}=>{{1,2},{3,4},{5,7},{6,8}}=>{{1,2},{3,4},{5,8},{6,7}}
[2,4,1,3,7,8,5,6]=>[3,4,1,2,8,7,6,5]=>{{1,3},{2,4},{5,8},{6,7}}=>{{1,4},{2,3},{5,7},{6,8}}=>{{1,3},{2,4},{5,8},{6,7}}
[2,4,1,7,3,8,5,6]=>[3,5,1,8,2,7,6,4]=>{{1,3},{2,5},{4,8},{6,7}}=>{{1,7},{2,3},{4,5},{6,8}}=>{{1,3},{2,5},{4,8},{6,7}}
[2,4,7,1,3,8,5,6]=>[4,5,8,1,2,7,6,3]=>{{1,4},{2,5},{3,8},{6,7}}=>{{1,7},{2,5},{3,4},{6,8}}=>{{1,4},{2,5},{3,8},{6,7}}
[2,4,1,7,8,3,5,6]=>[3,6,1,8,7,2,5,4]=>{{1,3},{2,6},{4,8},{5,7}}=>{{1,7},{2,3},{4,8},{5,6}}=>{{1,3},{2,6},{4,8},{5,7}}
[2,4,7,1,8,3,5,6]=>[4,6,8,1,7,2,5,3]=>{{1,4},{2,6},{3,8},{5,7}}=>{{1,7},{2,8},{3,4},{5,6}}=>{{1,4},{2,6},{3,8},{5,7}}
[2,1,4,3,8,5,6,7]=>[2,1,4,3,8,6,7,5]=>{{1,2},{3,4},{5,8},{6},{7}}=>{{1,2},{3,4},{5,8},{6},{7}}=>{{1,2},{3,4},{5,8},{6},{7}}
[2,4,1,3,5,6,7,8]=>[3,4,1,2,5,6,7,8]=>{{1,3},{2,4},{5},{6},{7},{8}}=>{{1,4},{2,3},{5},{6},{7},{8}}=>{{1,3},{2,4},{5},{6},{7},{8}}
[2,1,5,3,6,4,8,7]=>[2,1,6,4,5,3,8,7]=>{{1,2},{3,6},{4},{5},{7,8}}=>{{1,2},{3,6},{4},{5},{7,8}}=>{{1,2},{3,6},{4},{5},{7,8}}
[2,1,5,6,3,4,8,7]=>[2,1,6,5,4,3,8,7]=>{{1,2},{3,6},{4,5},{7,8}}=>{{1,2},{3,5},{4,6},{7,8}}=>{{1,2},{3,6},{4,5},{7,8}}
[2,5,1,6,3,8,4,7]=>[3,7,1,5,4,8,2,6]=>{{1,3},{2,7},{4,5},{6,8}}=>{{1,5},{2,3},{4,8},{6,7}}=>{{1,3},{2,7},{4,5},{6,8}}
[2,5,1,6,8,3,4,7]=>[3,7,1,6,8,4,2,5]=>{{1,3},{2,7},{4,6},{5,8}}=>{{1,8},{2,3},{4,6},{5,7}}=>{{1,3},{2,7},{4,6},{5,8}}
[2,1,5,7,8,3,4,6]=>[2,1,7,8,6,5,3,4]=>{{1,2},{3,7},{4,8},{5,6}}=>{{1,2},{3,6},{4,8},{5,7}}=>{{1,2},{3,7},{4,8},{5,6}}
[2,5,1,7,8,3,4,6]=>[3,7,1,8,6,5,2,4]=>{{1,3},{2,7},{4,8},{5,6}}=>{{1,6},{2,3},{4,8},{5,7}}=>{{1,3},{2,7},{4,8},{5,6}}
[2,1,5,3,4,6,8,7]=>[2,1,5,4,3,6,8,7]=>{{1,2},{3,5},{4},{6},{7,8}}=>{{1,2},{3,5},{4},{6},{7,8}}=>{{1,2},{3,5},{4},{6},{7,8}}
[2,1,6,7,8,3,4,5]=>[2,1,8,7,6,5,4,3]=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,2},{3,8},{4,7},{5,6}}
[2,6,1,7,8,3,4,5]=>[3,8,1,7,6,5,4,2]=>{{1,3},{2,8},{4,7},{5,6}}=>{{1,6},{2,3},{4,7},{5,8}}=>{{1,3},{2,8},{4,7},{5,6}}
[2,6,7,8,1,3,4,5]=>[5,8,7,6,1,4,3,2]=>{{1,5},{2,8},{3,7},{4,6}}=>{{1,6},{2,7},{3,8},{4,5}}=>{{1,5},{2,8},{3,7},{4,6}}
[2,3,1,6,4,7,5,8]=>[3,2,1,7,5,6,4,8]=>{{1,3},{2},{4,7},{5},{6},{8}}=>{{1,3},{2},{4,7},{5},{6},{8}}=>{{1,3},{2},{4,7},{5},{6},{8}}
[2,3,1,6,7,8,4,5]=>[3,2,1,8,7,6,5,4]=>{{1,3},{2},{4,8},{5,7},{6}}=>{{1,3},{2},{4,7},{5,8},{6}}=>{{1,3},{2},{4,8},{5,7},{6}}
[2,1,6,3,4,5,8,7]=>[2,1,6,4,5,3,8,7]=>{{1,2},{3,6},{4},{5},{7,8}}=>{{1,2},{3,6},{4},{5},{7,8}}=>{{1,2},{3,6},{4},{5},{7,8}}
[2,3,1,7,8,4,5,6]=>[3,2,1,8,7,6,5,4]=>{{1,3},{2},{4,8},{5,7},{6}}=>{{1,3},{2},{4,7},{5,8},{6}}=>{{1,3},{2},{4,8},{5,7},{6}}
[2,3,4,1,7,5,8,6]=>[4,2,3,1,8,6,7,5]=>{{1,4},{2},{3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,8},{6},{7}}
[2,3,4,1,8,5,6,7]=>[4,2,3,1,8,6,7,5]=>{{1,4},{2},{3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,8},{6},{7}}
[3,1,4,2,6,5,8,7]=>[4,2,3,1,6,5,8,7]=>{{1,4},{2},{3},{5,6},{7,8}}=>{{1,4},{2},{3},{5,6},{7,8}}=>{{1,4},{2},{3},{5,6},{7,8}}
[3,4,1,2,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>{{1,4},{2,3},{5,6},{7,8}}=>{{1,3},{2,4},{5,6},{7,8}}=>{{1,4},{2,3},{5,6},{7,8}}
[3,4,6,1,2,5,8,7]=>[5,4,6,2,1,3,8,7]=>{{1,5},{2,4},{3,6},{7,8}}=>{{1,6},{2,4},{3,5},{7,8}}=>{{1,5},{2,4},{3,6},{7,8}}
[3,4,1,2,6,8,5,7]=>[4,3,2,1,7,8,5,6]=>{{1,4},{2,3},{5,7},{6,8}}=>{{1,3},{2,4},{5,8},{6,7}}=>{{1,4},{2,3},{5,7},{6,8}}
[3,4,1,6,8,2,5,7]=>[6,3,2,7,8,1,4,5]=>{{1,6},{2,3},{4,7},{5,8}}=>{{1,3},{2,8},{4,7},{5,6}}=>{{1,6},{2,3},{4,7},{5,8}}
[3,1,4,2,6,7,8,5]=>[4,2,3,1,8,6,7,5]=>{{1,4},{2},{3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,8},{6},{7}}
[3,1,4,2,7,5,8,6]=>[4,2,3,1,8,6,7,5]=>{{1,4},{2},{3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,8},{6},{7}}
[3,4,1,2,7,8,5,6]=>[4,3,2,1,8,7,6,5]=>{{1,4},{2,3},{5,8},{6,7}}=>{{1,3},{2,4},{5,7},{6,8}}=>{{1,4},{2,3},{5,8},{6,7}}
[3,4,7,1,8,2,5,6]=>[6,4,8,2,7,1,5,3]=>{{1,6},{2,4},{3,8},{5,7}}=>{{1,7},{2,4},{3,8},{5,6}}=>{{1,6},{2,4},{3,8},{5,7}}
[3,1,4,2,8,5,6,7]=>[4,2,3,1,8,6,7,5]=>{{1,4},{2},{3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,8},{6},{7}}
[3,5,6,1,2,4,8,7]=>[5,6,4,3,1,2,8,7]=>{{1,5},{2,6},{3,4},{7,8}}=>{{1,4},{2,6},{3,5},{7,8}}=>{{1,5},{2,6},{3,4},{7,8}}
[3,5,6,1,2,8,4,7]=>[5,7,4,3,1,8,2,6]=>{{1,5},{2,7},{3,4},{6,8}}=>{{1,4},{2,8},{3,5},{6,7}}=>{{1,5},{2,7},{3,4},{6,8}}
[3,5,6,1,8,2,4,7]=>[6,7,4,3,8,1,2,5]=>{{1,6},{2,7},{3,4},{5,8}}=>{{1,4},{2,8},{3,7},{5,6}}=>{{1,6},{2,7},{3,4},{5,8}}
[3,5,7,8,1,2,4,6]=>[6,7,8,5,4,1,2,3]=>{{1,6},{2,7},{3,8},{4,5}}=>{{1,5},{2,8},{3,7},{4,6}}=>{{1,6},{2,7},{3,8},{4,5}}
[3,5,7,1,2,4,6,8]=>[5,6,7,4,1,2,3,8]=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}
[3,1,2,5,4,7,6,8]=>[3,2,1,5,4,7,6,8]=>{{1,3},{2},{4,5},{6,7},{8}}=>{{1,3},{2},{4,5},{6,7},{8}}=>{{1,3},{2},{4,5},{6,7},{8}}
[1,3,5,7,8,2,4,6]=>[1,6,7,8,5,2,3,4]=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}
[3,1,2,5,6,7,4,8]=>[3,2,1,7,5,6,4,8]=>{{1,3},{2},{4,7},{5},{6},{8}}=>{{1,3},{2},{4,7},{5},{6},{8}}=>{{1,3},{2},{4,7},{5},{6},{8}}
[3,6,7,8,1,2,4,5]=>[6,8,7,5,4,1,3,2]=>{{1,6},{2,8},{3,7},{4,5}}=>{{1,5},{2,7},{3,8},{4,6}}=>{{1,6},{2,8},{3,7},{4,5}}
[3,1,2,6,4,7,5,8]=>[3,2,1,7,5,6,4,8]=>{{1,3},{2},{4,7},{5},{6},{8}}=>{{1,3},{2},{4,7},{5},{6},{8}}=>{{1,3},{2},{4,7},{5},{6},{8}}
[3,1,2,4,6,7,5,8]=>[3,2,1,4,7,6,5,8]=>{{1,3},{2},{4},{5,7},{6},{8}}=>{{1,3},{2},{4},{5,7},{6},{8}}=>{{1,3},{2},{4},{5,7},{6},{8}}
[3,1,2,7,8,4,5,6]=>[3,2,1,8,7,6,5,4]=>{{1,3},{2},{4,8},{5,7},{6}}=>{{1,3},{2},{4,7},{5,8},{6}}=>{{1,3},{2},{4,8},{5,7},{6}}
[3,1,2,4,7,5,6,8]=>[3,2,1,4,7,6,5,8]=>{{1,3},{2},{4},{5,7},{6},{8}}=>{{1,3},{2},{4},{5,7},{6},{8}}=>{{1,3},{2},{4},{5,7},{6},{8}}
[4,5,6,1,2,3,8,7]=>[6,5,4,3,2,1,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>{{1,4},{2,5},{3,6},{7,8}}=>{{1,6},{2,5},{3,4},{7,8}}
[4,5,6,8,1,2,3,7]=>[7,6,5,8,3,2,1,4]=>{{1,7},{2,6},{3,5},{4,8}}=>{{1,8},{2,5},{3,6},{4,7}}=>{{1,7},{2,6},{3,5},{4,8}}
[4,6,7,8,1,2,3,5]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[1,4,6,8,2,3,5,7]=>[1,6,7,8,5,2,3,4]=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}
[4,1,2,3,6,5,8,7]=>[4,2,3,1,6,5,8,7]=>{{1,4},{2},{3},{5,6},{7,8}}=>{{1,4},{2},{3},{5,6},{7,8}}=>{{1,4},{2},{3},{5,6},{7,8}}
[4,1,2,3,6,7,8,5]=>[4,2,3,1,8,6,7,5]=>{{1,4},{2},{3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,8},{6},{7}}
[4,1,2,3,7,5,8,6]=>[4,2,3,1,8,6,7,5]=>{{1,4},{2},{3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,8},{6},{7}}
[4,1,2,3,8,5,6,7]=>[4,2,3,1,8,6,7,5]=>{{1,4},{2},{3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,8},{6},{7}}
[5,6,7,1,8,2,3,4]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[1,5,6,7,8,2,3,4]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[1,2,3,5,7,8,4,6]=>[1,2,3,7,8,6,4,5]=>{{1},{2},{3},{4,7},{5,8},{6}}=>{{1},{2},{3},{4,8},{5,7},{6}}=>{{1},{2},{3},{4,7},{5,8},{6}}
[1,6,7,8,2,3,4,5]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[1,2,3,6,7,8,4,5]=>[1,2,3,8,7,6,5,4]=>{{1},{2},{3},{4,8},{5,7},{6}}=>{{1},{2},{3},{4,7},{5,8},{6}}=>{{1},{2},{3},{4,8},{5,7},{6}}
[1,2,3,7,8,4,5,6]=>[1,2,3,8,7,6,5,4]=>{{1},{2},{3},{4,8},{5,7},{6}}=>{{1},{2},{3},{4,7},{5,8},{6}}=>{{1},{2},{3},{4,8},{5,7},{6}}
[6,4,5,2,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>{{1,4},{2,5},{3,6},{7,8}}=>{{1,6},{2,5},{3,4},{7,8}}
[5,4,6,2,1,3,8,7]=>[6,5,4,3,2,1,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>{{1,4},{2,5},{3,6},{7,8}}=>{{1,6},{2,5},{3,4},{7,8}}
[4,6,5,1,3,2,8,7]=>[6,5,4,3,2,1,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>{{1,4},{2,5},{3,6},{7,8}}=>{{1,6},{2,5},{3,4},{7,8}}
[5,6,4,3,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>{{1,4},{2,5},{3,6},{7,8}}=>{{1,6},{2,5},{3,4},{7,8}}
[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[6,7,4,3,8,1,2,5]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[6,8,4,3,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,4,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,8,5,7,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,8,6,7,1,3,4,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,8,6,1,7,3,5,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[2,1,8,6,7,4,5,3]=>[2,1,8,7,6,5,4,3]=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,2},{3,8},{4,7},{5,6}}
[2,1,7,6,8,4,3,5]=>[2,1,8,7,6,5,4,3]=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,2},{3,8},{4,7},{5,6}}
[5,7,6,8,1,3,2,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,4,7,2,8,1,3,5]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,4,6,2,8,3,1,5]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,4,6,2,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,3,2,1,7,8,5,6]=>[4,3,2,1,8,7,6,5]=>{{1,4},{2,3},{5,8},{6,7}}=>{{1,3},{2,4},{5,7},{6,8}}=>{{1,4},{2,3},{5,8},{6,7}}
[3,4,1,2,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>{{1,4},{2,3},{5,8},{6,7}}=>{{1,3},{2,4},{5,7},{6,8}}=>{{1,4},{2,3},{5,8},{6,7}}
[5,3,2,8,1,7,6,4]=>[8,5,3,7,2,6,4,1]=>{{1,8},{2,5},{3},{4,7},{6}}=>{{1,7},{2,5},{3},{4,8},{6}}=>{{1,8},{2,5},{3},{4,7},{6}}
[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,4,8,2,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,4,8,2,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,1,6,8,7,3,5,4]=>[2,1,8,7,6,5,4,3]=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,2},{3,8},{4,7},{5,6}}
[4,6,8,1,7,2,5,3]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[5,6,8,7,1,2,4,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,5,8,7,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,5,8,6,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,7,8,6,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,7,8,1,6,5,2,3]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[2,1,7,8,6,5,3,4]=>[2,1,8,7,6,5,4,3]=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,2},{3,8},{4,7},{5,6}}
[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,1,4,3,6,5,8,7,10,9]=>[2,1,4,3,6,5,8,7,10,9]=>{{1,2},{3,4},{5,6},{7,8},{9,10}}=>{{1,2},{3,4},{5,6},{7,8},{9,10}}=>{{1,2},{3,4},{5,6},{7,8},{9,10}}
[5,2,4,1,3,6,7,8]=>[5,4,3,2,1,6,7,8]=>{{1,5},{2,4},{3},{6},{7},{8}}=>{{1,4},{2,5},{3},{6},{7},{8}}=>{{1,5},{2,4},{3},{6},{7},{8}}
[6,4,7,1,2,3,5,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[7,4,6,1,2,3,5,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[7,5,8,1,2,3,4,6]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,5,7,1,2,3,4,6]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[5,3,6,7,1,2,4,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[7,3,5,6,1,2,4,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[4,2,6,8,1,3,5,7]=>[6,5,7,8,2,1,3,4]=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}
[4,3,6,8,1,2,5,7]=>[6,5,7,8,2,1,3,4]=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}
[5,2,6,8,1,3,4,7]=>[7,5,6,8,2,3,1,4]=>{{1,7},{2,5},{3,6},{4,8}}=>{{1,8},{2,6},{3,5},{4,7}}=>{{1,7},{2,5},{3,6},{4,8}}
[6,2,4,8,1,3,5,7]=>[7,5,6,8,2,3,1,4]=>{{1,7},{2,5},{3,6},{4,8}}=>{{1,8},{2,6},{3,5},{4,7}}=>{{1,7},{2,5},{3,6},{4,8}}
[6,2,5,8,1,3,4,7]=>[7,5,6,8,2,3,1,4]=>{{1,7},{2,5},{3,6},{4,8}}=>{{1,8},{2,6},{3,5},{4,7}}=>{{1,7},{2,5},{3,6},{4,8}}
[6,3,5,8,1,2,4,7]=>[7,6,5,8,3,2,1,4]=>{{1,7},{2,6},{3,5},{4,8}}=>{{1,8},{2,5},{3,6},{4,7}}=>{{1,7},{2,6},{3,5},{4,8}}
[4,3,7,8,1,2,5,6]=>[6,5,8,7,2,1,4,3]=>{{1,6},{2,5},{3,8},{4,7}}=>{{1,7},{2,8},{3,5},{4,6}}=>{{1,6},{2,5},{3,8},{4,7}}
[5,4,7,8,1,2,3,6]=>[7,6,8,5,4,2,1,3]=>{{1,7},{2,6},{3,8},{4,5}}=>{{1,5},{2,8},{3,6},{4,7}}=>{{1,7},{2,6},{3,8},{4,5}}
[6,2,7,8,1,3,4,5]=>[8,5,7,6,2,4,3,1]=>{{1,8},{2,5},{3,7},{4,6}}=>{{1,6},{2,7},{3,5},{4,8}}=>{{1,8},{2,5},{3,7},{4,6}}
[6,3,7,8,1,2,4,5]=>[8,6,7,5,4,2,3,1]=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,8},{2,6},{3,7},{4,5}}
[6,4,7,8,1,2,3,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,2,4,8,1,3,5,6]=>[8,5,6,7,2,3,4,1]=>{{1,8},{2,5},{3,6},{4,7}}=>{{1,7},{2,6},{3,5},{4,8}}=>{{1,8},{2,5},{3,6},{4,7}}
[7,3,5,8,1,2,4,6]=>[8,6,7,5,4,2,3,1]=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,8},{2,6},{3,7},{4,5}}
[7,4,5,8,1,2,3,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,2,5,6,1,3,4,7]=>[8,5,7,6,2,4,3,1]=>{{1,8},{2,5},{3,7},{4,6}}=>{{1,6},{2,7},{3,5},{4,8}}=>{{1,8},{2,5},{3,7},{4,6}}
[8,2,4,7,1,3,5,6]=>[8,5,6,7,2,3,4,1]=>{{1,8},{2,5},{3,6},{4,7}}=>{{1,7},{2,6},{3,5},{4,8}}=>{{1,8},{2,5},{3,6},{4,7}}
[8,2,5,7,1,3,4,6]=>[8,5,7,6,2,4,3,1]=>{{1,8},{2,5},{3,7},{4,6}}=>{{1,6},{2,7},{3,5},{4,8}}=>{{1,8},{2,5},{3,7},{4,6}}
[8,3,5,7,1,2,4,6]=>[8,6,7,5,4,2,3,1]=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,8},{2,6},{3,7},{4,5}}
[8,2,6,7,1,3,4,5]=>[8,5,7,6,2,4,3,1]=>{{1,8},{2,5},{3,7},{4,6}}=>{{1,6},{2,7},{3,5},{4,8}}=>{{1,8},{2,5},{3,7},{4,6}}
[8,4,6,7,1,2,3,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,7,2,6,1,3,4,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[6,7,2,5,1,3,4,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[5,8,3,6,1,2,4,7]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[6,8,2,4,1,3,5,7]=>[7,8,5,6,3,4,1,2]=>{{1,7},{2,8},{3,5},{4,6}}=>{{1,6},{2,5},{3,8},{4,7}}=>{{1,7},{2,8},{3,5},{4,6}}
[6,8,3,4,1,2,5,7]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[6,8,3,5,1,2,4,7]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[6,8,4,5,1,2,3,7]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[4,8,2,7,1,3,5,6]=>[6,8,5,7,3,1,4,2]=>{{1,6},{2,8},{3,5},{4,7}}=>{{1,7},{2,5},{3,8},{4,6}}=>{{1,6},{2,8},{3,5},{4,7}}
[4,8,3,7,1,2,5,6]=>[6,8,5,7,3,1,4,2]=>{{1,6},{2,8},{3,5},{4,7}}=>{{1,7},{2,5},{3,8},{4,6}}=>{{1,6},{2,8},{3,5},{4,7}}
[5,8,2,7,1,3,4,6]=>[7,8,5,6,3,4,1,2]=>{{1,7},{2,8},{3,5},{4,6}}=>{{1,6},{2,5},{3,8},{4,7}}=>{{1,7},{2,8},{3,5},{4,6}}
[5,8,3,7,1,2,4,6]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[5,8,4,7,1,2,3,6]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[6,8,2,7,1,3,4,5]=>[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}}
[6,8,3,7,1,2,4,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,8,5,7,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,2,4,1,3,5,6]=>[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}}
[7,8,2,5,1,3,4,6]=>[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}}
[7,8,3,5,1,2,4,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,4,6,1,2,3,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,4,2,7,1,3,5,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[6,4,3,7,1,2,5,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[6,5,3,7,1,2,4,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[7,4,2,5,1,3,6,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[7,4,3,6,1,2,5,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[7,5,2,6,1,3,4,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[7,5,3,6,1,2,4,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[7,6,3,5,1,2,4,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[6,4,3,8,1,2,5,7]=>[7,6,5,8,3,2,1,4]=>{{1,7},{2,6},{3,5},{4,8}}=>{{1,8},{2,5},{3,6},{4,7}}=>{{1,7},{2,6},{3,5},{4,8}}
[6,5,2,8,1,3,4,7]=>[7,6,5,8,3,2,1,4]=>{{1,7},{2,6},{3,5},{4,8}}=>{{1,8},{2,5},{3,6},{4,7}}=>{{1,7},{2,6},{3,5},{4,8}}
[6,5,3,8,1,2,4,7]=>[7,6,5,8,3,2,1,4]=>{{1,7},{2,6},{3,5},{4,8}}=>{{1,8},{2,5},{3,6},{4,7}}=>{{1,7},{2,6},{3,5},{4,8}}
[6,5,4,8,1,2,3,7]=>[7,6,5,8,3,2,1,4]=>{{1,7},{2,6},{3,5},{4,8}}=>{{1,8},{2,5},{3,6},{4,7}}=>{{1,7},{2,6},{3,5},{4,8}}
[7,3,2,8,1,4,5,6]=>[8,5,3,7,2,6,4,1]=>{{1,8},{2,5},{3},{4,7},{6}}=>{{1,7},{2,5},{3},{4,8},{6}}=>{{1,8},{2,5},{3},{4,7},{6}}
[7,4,2,8,1,3,5,6]=>[8,6,5,7,3,2,4,1]=>{{1,8},{2,6},{3,5},{4,7}}=>{{1,7},{2,5},{3,6},{4,8}}=>{{1,8},{2,6},{3,5},{4,7}}
[7,5,3,8,1,2,4,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,6,2,8,1,3,4,5]=>[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}}
[7,6,4,8,1,2,3,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,3,2,6,1,4,5,7]=>[8,5,3,7,2,6,4,1]=>{{1,8},{2,5},{3},{4,7},{6}}=>{{1,7},{2,5},{3},{4,8},{6}}=>{{1,8},{2,5},{3},{4,7},{6}}
[8,4,2,6,1,3,5,7]=>[8,6,5,7,3,2,4,1]=>{{1,8},{2,6},{3,5},{4,7}}=>{{1,7},{2,5},{3,6},{4,8}}=>{{1,8},{2,6},{3,5},{4,7}}
[8,5,3,6,1,2,4,7]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,2,4,1,3,5,7]=>[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}}
[8,6,2,5,1,3,4,7]=>[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}}
[8,3,2,7,1,4,5,6]=>[8,5,3,7,2,6,4,1]=>{{1,8},{2,5},{3},{4,7},{6}}=>{{1,7},{2,5},{3},{4,8},{6}}=>{{1,8},{2,5},{3},{4,7},{6}}
[8,4,2,7,1,3,5,6]=>[8,6,5,7,3,2,4,1]=>{{1,8},{2,6},{3,5},{4,7}}=>{{1,7},{2,5},{3,6},{4,8}}=>{{1,8},{2,6},{3,5},{4,7}}
[8,4,3,7,1,2,5,6]=>[8,6,5,7,3,2,4,1]=>{{1,8},{2,6},{3,5},{4,7}}=>{{1,7},{2,5},{3,6},{4,8}}=>{{1,8},{2,6},{3,5},{4,7}}
[8,5,2,7,1,3,4,6]=>[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}}
[8,5,3,7,1,2,4,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,5,4,7,1,2,3,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,3,7,1,2,4,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,2,4,1,3,5,6]=>[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}}
[8,7,2,5,1,3,4,6]=>[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}}
[8,7,3,5,1,2,4,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,2,6,1,3,4,5]=>[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}}
[8,7,3,6,1,2,4,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,4,6,1,2,3,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,6,3,5,8,1,2,7]=>[7,6,4,3,8,2,1,5]=>{{1,7},{2,6},{3,4},{5,8}}=>{{1,4},{2,8},{3,6},{5,7}}=>{{1,7},{2,6},{3,4},{5,8}}
[5,6,2,4,8,1,3,7]=>[7,6,4,3,8,2,1,5]=>{{1,7},{2,6},{3,4},{5,8}}=>{{1,4},{2,8},{3,6},{5,7}}=>{{1,7},{2,6},{3,4},{5,8}}
[5,7,4,6,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[6,7,3,5,8,1,2,4]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[4,8,3,6,7,1,2,5]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[5,8,4,6,7,1,2,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,8,2,5,7,1,3,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,8,3,5,7,1,2,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,8,4,5,7,1,2,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,2,4,6,1,3,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,3,4,6,1,2,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,2,5,6,1,3,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,3,5,6,1,2,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,3,2,6,8,1,5,7]=>[6,3,2,7,8,1,4,5]=>{{1,6},{2,3},{4,7},{5,8}}=>{{1,3},{2,8},{4,7},{5,6}}=>{{1,6},{2,3},{4,7},{5,8}}
[6,4,3,5,8,1,2,7]=>[7,6,4,3,8,2,1,5]=>{{1,7},{2,6},{3,4},{5,8}}=>{{1,4},{2,8},{3,6},{5,7}}=>{{1,7},{2,6},{3,4},{5,8}}
[6,5,2,4,8,1,3,7]=>[7,6,4,3,8,2,1,5]=>{{1,7},{2,6},{3,4},{5,8}}=>{{1,4},{2,8},{3,6},{5,7}}=>{{1,7},{2,6},{3,4},{5,8}}
[4,3,2,7,8,1,5,6]=>[6,3,2,8,7,1,5,4]=>{{1,6},{2,3},{4,8},{5,7}}=>{{1,3},{2,7},{4,8},{5,6}}=>{{1,6},{2,3},{4,8},{5,7}}
[6,4,2,7,8,1,3,5]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[6,4,3,7,8,1,2,5]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[6,5,2,7,8,1,3,4]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,4,2,5,8,1,3,6]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,5,3,6,8,1,2,4]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,6,3,5,8,1,2,4]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,4,2,5,7,1,3,6]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,5,2,6,7,1,3,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,5,3,6,7,1,2,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,2,5,7,1,3,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,3,5,7,1,2,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,2,4,6,1,3,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,3,4,6,1,2,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,2,5,6,1,3,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,3,5,6,1,2,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,3,7,2,6,1,4,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[5,4,7,2,6,1,3,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[6,3,7,2,5,1,4,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[6,4,7,2,5,1,3,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[7,3,6,2,5,1,4,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[4,3,8,2,6,1,5,7]=>[6,4,8,2,7,1,5,3]=>{{1,6},{2,4},{3,8},{5,7}}=>{{1,7},{2,4},{3,8},{5,6}}=>{{1,6},{2,4},{3,8},{5,7}}
[6,4,8,2,5,1,3,7]=>[7,6,8,5,4,2,1,3]=>{{1,7},{2,6},{3,8},{4,5}}=>{{1,5},{2,8},{3,6},{4,7}}=>{{1,7},{2,6},{3,8},{4,5}}
[6,4,8,3,5,1,2,7]=>[7,6,8,5,4,2,1,3]=>{{1,7},{2,6},{3,8},{4,5}}=>{{1,5},{2,8},{3,6},{4,7}}=>{{1,7},{2,6},{3,8},{4,5}}
[6,5,8,3,4,1,2,7]=>[7,6,8,5,4,2,1,3]=>{{1,7},{2,6},{3,8},{4,5}}=>{{1,5},{2,8},{3,6},{4,7}}=>{{1,7},{2,6},{3,8},{4,5}}
[4,3,8,2,7,1,5,6]=>[6,4,8,2,7,1,5,3]=>{{1,6},{2,4},{3,8},{5,7}}=>{{1,7},{2,4},{3,8},{5,6}}=>{{1,6},{2,4},{3,8},{5,7}}
[6,4,8,2,7,1,3,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,5,8,2,7,1,3,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,4,8,3,5,1,2,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,5,8,2,4,1,3,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,5,8,3,4,1,2,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,4,8,2,6,1,3,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,5,8,2,6,1,3,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,5,8,3,6,1,2,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,5,8,4,6,1,2,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,4,6,2,5,1,3,7]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,4,7,3,5,1,2,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,4,7,2,6,1,3,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,4,7,3,6,1,2,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,5,7,2,6,1,3,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,7,2,4,1,3,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,7,2,5,1,3,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,7,3,5,1,2,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,5,3,2,6,1,4,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[6,5,3,2,8,1,4,7]=>[7,6,4,3,8,2,1,5]=>{{1,7},{2,6},{3,4},{5,8}}=>{{1,4},{2,8},{3,6},{5,7}}=>{{1,7},{2,6},{3,4},{5,8}}
[6,5,4,3,8,1,2,7]=>[7,6,4,3,8,2,1,5]=>{{1,7},{2,6},{3,4},{5,8}}=>{{1,4},{2,8},{3,6},{5,7}}=>{{1,7},{2,6},{3,4},{5,8}}
[7,5,3,2,8,1,4,6]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,6,4,3,8,1,2,5]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,6,5,3,8,1,2,4]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,5,3,2,6,1,4,7]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,5,4,2,6,1,3,7]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,6,3,2,5,1,4,7]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,6,5,2,4,1,3,7]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,5,3,2,7,1,4,6]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,6,3,2,7,1,4,5]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,6,5,3,7,1,2,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,3,2,5,1,4,6]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,7,3,2,6,1,4,5]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,7,4,2,6,1,3,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,4,3,6,1,2,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,5,2,6,1,3,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,5,3,6,1,2,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,6,2,4,1,3,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,6,2,5,1,3,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,6,3,5,1,2,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,8,3,7,2,6,1,5]=>[7,8,5,6,3,4,1,2]=>{{1,7},{2,8},{3,5},{4,6}}=>{{1,6},{2,5},{3,8},{4,7}}=>{{1,7},{2,8},{3,5},{4,6}}
[5,8,3,7,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,8,4,7,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,8,4,7,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,8,3,7,2,5,1,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,8,4,7,2,5,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,8,4,7,3,5,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,8,5,7,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,8,5,7,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,3,6,2,5,1,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,4,6,2,5,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,4,6,3,5,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,5,6,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,4,3,8,2,7,1,5]=>[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}}
[6,5,3,8,2,7,1,4]=>[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}}
[6,5,4,8,2,7,1,3]=>[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}}
[7,4,3,8,2,6,1,5]=>[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}}
[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,5,4,8,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,6,3,8,2,5,1,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,6,4,8,2,5,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,6,5,8,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,4,3,7,2,6,1,5]=>[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}}
[8,5,3,7,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,3,7,2,5,1,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,4,7,2,5,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,4,7,3,5,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,5,7,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,3,6,2,5,1,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,4,6,3,5,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,5,6,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,5,4,3,2,8,1,7]=>[7,5,4,3,2,8,1,6]=>{{1,7},{2,5},{3,4},{6,8}}=>{{1,4},{2,5},{3,8},{6,7}}=>{{1,7},{2,5},{3,4},{6,8}}
[8,7,4,3,2,6,1,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,5,3,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,5,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,6,3,2,5,1,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,6,5,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,4,1,8,3,7,5,6]=>[3,5,1,8,2,7,6,4]=>{{1,3},{2,5},{4,8},{6,7}}=>{{1,7},{2,3},{4,5},{6,8}}=>{{1,3},{2,5},{4,8},{6,7}}
[2,6,1,5,3,8,4,7]=>[3,7,1,5,4,8,2,6]=>{{1,3},{2,7},{4,5},{6,8}}=>{{1,5},{2,3},{4,8},{6,7}}=>{{1,3},{2,7},{4,5},{6,8}}
[2,4,1,8,6,3,5,7]=>[3,6,1,8,7,2,5,4]=>{{1,3},{2,6},{4,8},{5,7}}=>{{1,7},{2,3},{4,8},{5,6}}=>{{1,3},{2,6},{4,8},{5,7}}
[2,8,1,5,7,3,4,6]=>[3,8,1,7,6,5,4,2]=>{{1,3},{2,8},{4,7},{5,6}}=>{{1,6},{2,3},{4,7},{5,8}}=>{{1,3},{2,8},{4,7},{5,6}}
[2,8,1,7,6,3,4,5]=>[3,8,1,7,6,5,4,2]=>{{1,3},{2,8},{4,7},{5,6}}=>{{1,6},{2,3},{4,7},{5,8}}=>{{1,3},{2,8},{4,7},{5,6}}
[4,3,1,6,2,8,5,7]=>[5,3,2,7,1,8,4,6]=>{{1,5},{2,3},{4,7},{6,8}}=>{{1,3},{2,8},{4,5},{6,7}}=>{{1,5},{2,3},{4,7},{6,8}}
[8,3,1,6,2,4,5,7]=>[8,5,3,7,2,6,4,1]=>{{1,8},{2,5},{3},{4,7},{6}}=>{{1,7},{2,5},{3},{4,8},{6}}=>{{1,8},{2,5},{3},{4,7},{6}}
[8,3,1,5,2,7,4,6]=>[8,5,3,7,2,6,4,1]=>{{1,8},{2,5},{3},{4,7},{6}}=>{{1,7},{2,5},{3},{4,8},{6}}=>{{1,8},{2,5},{3},{4,7},{6}}
[8,3,1,6,2,7,4,5]=>[8,5,3,7,2,6,4,1]=>{{1,8},{2,5},{3},{4,7},{6}}=>{{1,7},{2,5},{3},{4,8},{6}}=>{{1,8},{2,5},{3},{4,7},{6}}
[4,3,1,8,7,2,5,6]=>[6,3,2,8,7,1,5,4]=>{{1,6},{2,3},{4,8},{5,7}}=>{{1,3},{2,7},{4,8},{5,6}}=>{{1,6},{2,3},{4,8},{5,7}}
[2,6,4,1,3,8,5,7]=>[4,7,5,1,3,8,2,6]=>{{1,4},{2,7},{3,5},{6,8}}=>{{1,5},{2,8},{3,4},{6,7}}=>{{1,4},{2,7},{3,5},{6,8}}
[2,8,4,1,7,3,5,6]=>[4,8,6,1,7,3,5,2]=>{{1,4},{2,8},{3,6},{5,7}}=>{{1,7},{2,6},{3,4},{5,8}}=>{{1,4},{2,8},{3,6},{5,7}}
[2,8,5,1,7,3,4,6]=>[4,8,7,1,6,5,3,2]=>{{1,4},{2,8},{3,7},{5,6}}=>{{1,6},{2,7},{3,4},{5,8}}=>{{1,4},{2,8},{3,7},{5,6}}
[2,8,4,1,6,7,3,5]=>[4,8,7,1,6,5,3,2]=>{{1,4},{2,8},{3,7},{5,6}}=>{{1,6},{2,7},{3,4},{5,8}}=>{{1,4},{2,8},{3,7},{5,6}}
[6,8,4,1,2,7,3,5]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[6,8,5,1,2,7,3,4]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,3,4,1,7,2,5,6]=>[8,6,4,3,7,2,5,1]=>{{1,8},{2,6},{3,4},{5,7}}=>{{1,4},{2,7},{3,6},{5,8}}=>{{1,8},{2,6},{3,4},{5,7}}
[8,5,4,1,6,2,3,7]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,8,4,1,6,2,3,5]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,8,5,1,6,2,3,4]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[2,7,4,8,1,3,5,6]=>[5,8,6,7,1,3,4,2]=>{{1,5},{2,8},{3,6},{4,7}}=>{{1,7},{2,6},{3,8},{4,5}}=>{{1,5},{2,8},{3,6},{4,7}}
[2,8,6,5,1,3,4,7]=>[5,8,7,6,1,4,3,2]=>{{1,5},{2,8},{3,7},{4,6}}=>{{1,6},{2,7},{3,8},{4,5}}=>{{1,5},{2,8},{3,7},{4,6}}
[2,7,8,5,1,3,4,6]=>[5,8,7,6,1,4,3,2]=>{{1,5},{2,8},{3,7},{4,6}}=>{{1,6},{2,7},{3,8},{4,5}}=>{{1,5},{2,8},{3,7},{4,6}}
[2,6,4,5,1,8,3,7]=>[5,7,4,3,1,8,2,6]=>{{1,5},{2,7},{3,4},{6,8}}=>{{1,4},{2,8},{3,5},{6,7}}=>{{1,5},{2,7},{3,4},{6,8}}
[2,8,4,6,1,7,3,5]=>[5,8,7,6,1,4,3,2]=>{{1,5},{2,8},{3,7},{4,6}}=>{{1,6},{2,7},{3,8},{4,5}}=>{{1,5},{2,8},{3,7},{4,6}}
[7,3,8,5,1,2,4,6]=>[8,6,7,5,4,2,3,1]=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,8},{2,6},{3,7},{4,5}}
[8,6,4,5,1,7,2,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,8,4,7,6,1,3,5]=>[6,8,7,5,4,1,3,2]=>{{1,6},{2,8},{3,7},{4,5}}=>{{1,5},{2,7},{3,8},{4,6}}=>{{1,6},{2,8},{3,7},{4,5}}
[2,8,7,5,6,1,3,4]=>[6,8,7,5,4,1,3,2]=>{{1,6},{2,8},{3,7},{4,5}}=>{{1,5},{2,7},{3,8},{4,6}}=>{{1,6},{2,8},{3,7},{4,5}}
[8,3,4,7,6,1,2,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,3,7,5,6,1,2,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,5,8,7,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,6,7,3,8,5,1,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[6,4,8,3,7,5,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,3,8,4,5,7,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,2,8,4,5,1,7,3]=>[8,6,7,5,4,2,3,1]=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,8},{2,6},{3,7},{4,5}}
[7,8,2,4,5,1,6,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,2,3,8,1,6,7,4]=>[8,5,3,7,2,6,4,1]=>{{1,8},{2,5},{3},{4,7},{6}}=>{{1,7},{2,5},{3},{4,8},{6}}=>{{1,8},{2,5},{3},{4,7},{6}}
[7,8,4,2,6,1,5,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,6,7,2,8,1,5,3]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[5,6,7,8,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,5,6,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,5,8,7,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,4,8,1,7,2,3,5]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[4,3,1,2,8,7,5,6]=>[4,3,2,1,8,7,6,5]=>{{1,4},{2,3},{5,8},{6,7}}=>{{1,3},{2,4},{5,7},{6,8}}=>{{1,4},{2,3},{5,8},{6,7}}
[6,4,3,7,2,5,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[8,4,3,6,5,1,2,7]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,6,2,7,3,5,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[8,7,5,4,1,3,2,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,8,6,2,4,1,3,7]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[4,8,2,6,5,1,3,7]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[1,8,6,7,4,5,3,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[3,2,1,7,8,5,6,4]=>[3,2,1,8,7,6,5,4]=>{{1,3},{2},{4,8},{5,7},{6}}=>{{1,3},{2},{4,7},{5,8},{6}}=>{{1,3},{2},{4,8},{5,7},{6}}
[4,8,2,7,1,5,3,6]=>[7,8,5,6,3,4,1,2]=>{{1,7},{2,8},{3,5},{4,6}}=>{{1,6},{2,5},{3,8},{4,7}}=>{{1,7},{2,8},{3,5},{4,6}}
[5,8,7,2,1,4,3,6]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[6,8,7,1,2,4,3,5]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,8,6,1,4,2,3,5]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,7,6,1,4,3,2,5]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[1,6,7,8,3,4,5,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[8,6,7,1,3,4,2,5]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,6,8,1,3,2,4,5]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[5,7,8,2,1,3,4,6]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[4,7,2,8,1,3,5,6]=>[6,8,5,7,3,1,4,2]=>{{1,6},{2,8},{3,5},{4,7}}=>{{1,7},{2,5},{3,8},{4,6}}=>{{1,6},{2,8},{3,5},{4,7}}
[4,6,2,8,3,1,5,7]=>[6,7,5,8,3,1,2,4]=>{{1,6},{2,7},{3,5},{4,8}}=>{{1,8},{2,5},{3,7},{4,6}}=>{{1,6},{2,7},{3,5},{4,8}}
[5,6,8,2,3,1,4,7]=>[7,6,8,5,4,2,1,3]=>{{1,7},{2,6},{3,8},{4,5}}=>{{1,5},{2,8},{3,6},{4,7}}=>{{1,7},{2,6},{3,8},{4,5}}
[7,5,8,3,1,2,4,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,5,7,3,1,4,2,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[1,5,7,3,8,4,6,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[6,4,3,8,2,1,5,7]=>[7,6,5,8,3,2,1,4]=>{{1,7},{2,6},{3,5},{4,8}}=>{{1,8},{2,5},{3,6},{4,7}}=>{{1,7},{2,6},{3,5},{4,8}}
[6,4,3,1,2,8,7,5]=>[8,5,4,3,2,7,6,1]=>{{1,8},{2,5},{3,4},{6,7}}=>{{1,4},{2,5},{3,7},{6,8}}=>{{1,8},{2,5},{3,4},{6,7}}
[7,4,3,1,8,2,6,5]=>[8,6,4,3,7,2,5,1]=>{{1,8},{2,6},{3,4},{5,7}}=>{{1,4},{2,7},{3,6},{5,8}}=>{{1,8},{2,6},{3,4},{5,7}}
[8,4,3,1,7,6,2,5]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}
[1,5,8,3,7,6,4,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[4,6,2,1,3,8,7,5]=>[5,8,4,3,1,7,6,2]=>{{1,5},{2,8},{3,4},{6,7}}=>{{1,4},{2,7},{3,5},{6,8}}=>{{1,5},{2,8},{3,4},{6,7}}
[4,8,2,1,7,6,3,5]=>[7,8,4,3,6,5,1,2]=>{{1,7},{2,8},{3,4},{5,6}}=>{{1,4},{2,6},{3,8},{5,7}}=>{{1,7},{2,8},{3,4},{5,6}}
[3,2,4,1,7,5,8,6]=>[4,2,3,1,8,6,7,5]=>{{1,4},{2},{3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,8},{6},{7}}
[3,1,4,2,7,6,8,5]=>[4,2,3,1,8,6,7,5]=>{{1,4},{2},{3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,8},{6},{7}}
[8,6,3,5,2,4,1,7]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,3,7,5,2,4,6,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,2,4,5,7,3,6,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,2,4,6,5,3,1,7]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,5,7,4,3,2,6,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,5,7,4,2,1,6,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,6,3,8,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[1,7,4,8,6,3,5,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[8,4,7,6,3,5,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[3,6,4,1,8,7,5,2]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}
[8,2,6,1,4,7,5,3]=>[8,4,7,2,6,5,3,1]=>{{1,8},{2,4},{3,7},{5,6}}=>{{1,6},{2,4},{3,7},{5,8}}=>{{1,8},{2,4},{3,7},{5,6}}
[2,7,6,8,1,4,3,5]=>[5,8,7,6,1,4,3,2]=>{{1,5},{2,8},{3,7},{4,6}}=>{{1,6},{2,7},{3,8},{4,5}}=>{{1,5},{2,8},{3,7},{4,6}}
[3,6,8,5,7,2,4,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,6,1,3,4,2,5]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,5,7,3,2,1,6,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[3,7,8,6,2,1,5,4]=>[6,8,7,5,4,1,3,2]=>{{1,6},{2,8},{3,7},{4,5}}=>{{1,5},{2,7},{3,8},{4,6}}=>{{1,6},{2,8},{3,7},{4,5}}
[8,7,6,3,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,7,4,8,1,6,5,3]=>[5,8,7,6,1,4,3,2]=>{{1,5},{2,8},{3,7},{4,6}}=>{{1,6},{2,7},{3,8},{4,5}}=>{{1,5},{2,8},{3,7},{4,6}}
[4,6,8,2,1,7,5,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,5,3,7,1,6,2,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,5,7,2,1,3,6,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,2,6,5,7,4,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,1,7,8,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,2},{3,8},{4,7},{5,6}}
[2,7,6,8,5,4,1,3]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[8,7,6,3,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,4,7,6,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,2,6,5,3,8,1,7]=>[7,5,4,3,2,8,1,6]=>{{1,7},{2,5},{3,4},{6,8}}=>{{1,4},{2,5},{3,8},{6,7}}=>{{1,7},{2,5},{3,4},{6,8}}
[5,6,2,8,1,3,4,7]=>[7,6,5,8,3,2,1,4]=>{{1,7},{2,6},{3,5},{4,8}}=>{{1,8},{2,5},{3,6},{4,7}}=>{{1,7},{2,6},{3,5},{4,8}}
[5,4,3,8,2,7,6,1]=>[8,5,3,7,2,6,4,1]=>{{1,8},{2,5},{3},{4,7},{6}}=>{{1,7},{2,5},{3},{4,8},{6}}=>{{1,8},{2,5},{3},{4,7},{6}}
[4,3,6,2,8,7,5,1]=>[8,4,7,2,6,5,3,1]=>{{1,8},{2,4},{3,7},{5,6}}=>{{1,6},{2,4},{3,7},{5,8}}=>{{1,8},{2,4},{3,7},{5,6}}
[7,2,5,8,4,1,3,6]=>[8,6,7,5,4,2,3,1]=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,8},{2,6},{3,7},{4,5}}
[2,8,5,7,4,6,1,3]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[3,5,8,7,1,4,6,2]=>[8,6,7,5,4,2,3,1]=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,8},{2,6},{3,7},{4,5}}
[4,3,7,1,8,6,5,2]=>[8,4,7,2,6,5,3,1]=>{{1,8},{2,4},{3,7},{5,6}}=>{{1,6},{2,4},{3,7},{5,8}}=>{{1,8},{2,4},{3,7},{5,6}}
[4,8,3,7,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,5,3,1,8,6,4,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[1,5,8,6,3,7,4,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[6,8,7,3,1,4,5,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,2,8,7,4,5,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,2,6,3,8,7,4,1]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}
[6,7,2,1,8,3,4,5]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}
[7,5,8,2,1,3,4,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,4,8,6,3,7,5,1]=>[8,5,7,6,2,4,3,1]=>{{1,8},{2,5},{3,7},{4,6}}=>{{1,6},{2,7},{3,5},{4,8}}=>{{1,8},{2,5},{3,7},{4,6}}
[3,8,6,2,4,7,5,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[4,3,7,8,2,1,5,6]=>[6,5,8,7,2,1,4,3]=>{{1,6},{2,5},{3,8},{4,7}}=>{{1,7},{2,8},{3,5},{4,6}}=>{{1,6},{2,5},{3,8},{4,7}}
[8,3,7,1,4,6,2,5]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,8,3,6,2,1,5,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,3,6,2,5,4,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,2,6,8,1,7,5,3]=>[8,5,7,6,2,4,3,1]=>{{1,8},{2,5},{3,7},{4,6}}=>{{1,6},{2,7},{3,5},{4,8}}=>{{1,8},{2,5},{3,7},{4,6}}
[5,8,3,7,1,6,2,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,8,7,2,6,1,3,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,2,7,5,1,3,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,4,8,1,7,2,5,3]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[6,5,2,8,1,7,4,3]=>[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}}
[5,2,7,1,8,6,4,3]=>[8,4,7,2,6,5,3,1]=>{{1,8},{2,4},{3,7},{5,6}}=>{{1,6},{2,4},{3,7},{5,8}}=>{{1,8},{2,4},{3,7},{5,6}}
[5,8,2,7,6,4,3,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,2,8,7,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,3,1,6,5,2,4]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,7,4,6,1,5,3,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,5,7,1,6,4,3,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[4,1,3,2,6,5,8,7]=>[4,2,3,1,6,5,8,7]=>{{1,4},{2},{3},{5,6},{7,8}}=>{{1,4},{2},{3},{5,6},{7,8}}=>{{1,4},{2},{3},{5,6},{7,8}}
[6,3,5,1,2,4,8,7]=>[6,5,4,3,2,1,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>{{1,4},{2,5},{3,6},{7,8}}=>{{1,6},{2,5},{3,4},{7,8}}
[8,3,7,5,2,1,4,6]=>[8,6,7,5,4,2,3,1]=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,8},{2,6},{3,7},{4,5}}
[5,6,3,2,1,4,8,7]=>[6,5,4,3,2,1,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>{{1,4},{2,5},{3,6},{7,8}}=>{{1,6},{2,5},{3,4},{7,8}}
[2,1,6,3,5,4,8,7]=>[2,1,6,4,5,3,8,7]=>{{1,2},{3,6},{4},{5},{7,8}}=>{{1,2},{3,6},{4},{5},{7,8}}=>{{1,2},{3,6},{4},{5},{7,8}}
[6,4,3,5,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>{{1,4},{2,5},{3,6},{7,8}}=>{{1,6},{2,5},{3,4},{7,8}}
[3,4,7,8,5,2,1,6]=>[7,6,8,5,4,2,1,3]=>{{1,7},{2,6},{3,8},{4,5}}=>{{1,5},{2,8},{3,6},{4,7}}=>{{1,7},{2,6},{3,8},{4,5}}
[2,1,8,5,7,3,4,6]=>[2,1,8,7,6,5,4,3]=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,2},{3,8},{4,7},{5,6}}
[8,6,3,5,1,7,4,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[3,4,8,6,5,7,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[3,7,4,2,8,6,5,1]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}
[8,5,3,7,4,1,6,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,2,4,3,6,1,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,8,3,2,4,1,7,5]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[2,1,7,8,5,4,3,6]=>[2,1,8,7,6,5,4,3]=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,2},{3,8},{4,7},{5,6}}
[5,7,3,8,1,4,2,6]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[5,3,8,7,4,2,6,1]=>[8,6,7,5,4,2,3,1]=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,8},{2,6},{3,7},{4,5}}
[7,3,5,8,2,4,1,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,3,4,1,8,5,7,6]=>[4,2,3,1,8,6,7,5]=>{{1,4},{2},{3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,8},{6},{7}}
[4,1,3,2,8,5,7,6]=>[4,2,3,1,8,6,7,5]=>{{1,4},{2},{3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,8},{6},{7}}
[2,1,4,3,8,5,7,6]=>[2,1,4,3,8,6,7,5]=>{{1,2},{3,4},{5,8},{6},{7}}=>{{1,2},{3,4},{5,8},{6},{7}}=>{{1,2},{3,4},{5,8},{6},{7}}
[4,1,3,2,6,7,8,5]=>[4,2,3,1,8,6,7,5]=>{{1,4},{2},{3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,8},{6},{7}}
[8,3,5,6,2,7,1,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,3,6,1,8,7,2,4]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}
[5,6,2,8,7,4,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,5,6,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,8,3,6,1,7,2,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,1,8,6,5,7,3,4]=>[2,1,8,7,6,5,4,3]=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,2},{3,8},{4,7},{5,6}}
[6,5,2,1,4,3,8,7]=>[6,5,4,3,2,1,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>{{1,4},{2,5},{3,6},{7,8}}=>{{1,6},{2,5},{3,4},{7,8}}
[8,5,2,7,4,1,6,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,3,7,5,2,1,6,4]=>[8,6,7,5,4,2,3,1]=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,8},{2,6},{3,7},{4,5}}
[5,6,3,2,4,1,8,7]=>[6,5,4,3,2,1,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>{{1,4},{2,5},{3,6},{7,8}}=>{{1,6},{2,5},{3,4},{7,8}}
[8,7,2,3,4,1,6,5]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[2,5,7,3,8,6,4,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[2,1,8,7,4,3,6,5]=>[2,1,8,7,6,5,4,3]=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,2},{3,8},{4,7},{5,6}}
[5,8,3,7,4,2,6,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,8,7,3,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,8,4,1,6,3,7,5]=>[4,8,6,1,7,3,5,2]=>{{1,4},{2,8},{3,6},{5,7}}=>{{1,7},{2,6},{3,4},{5,8}}=>{{1,4},{2,8},{3,6},{5,7}}
[6,8,3,5,2,7,4,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,5,3,2,8,7,1,4]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}
[2,4,1,8,7,6,5,3]=>[3,8,1,7,6,5,4,2]=>{{1,3},{2,8},{4,7},{5,6}}=>{{1,6},{2,3},{4,7},{5,8}}=>{{1,3},{2,8},{4,7},{5,6}}
[8,4,2,1,7,5,3,6]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}
[4,3,1,8,6,7,5,2]=>[8,3,2,7,6,5,4,1]=>{{1,8},{2,3},{4,7},{5,6}}=>{{1,3},{2,6},{4,7},{5,8}}=>{{1,8},{2,3},{4,7},{5,6}}
[7,3,5,4,8,6,1,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[6,4,3,5,8,1,7,2]=>[8,6,4,3,7,2,5,1]=>{{1,8},{2,6},{3,4},{5,7}}=>{{1,4},{2,7},{3,6},{5,8}}=>{{1,8},{2,6},{3,4},{5,7}}
[3,7,5,6,8,4,2,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,6,2,5,1,7,4,3]=>[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}}
[7,5,2,8,3,4,6,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,7,2,8,1,5,3,6]=>[7,8,5,6,3,4,1,2]=>{{1,7},{2,8},{3,5},{4,6}}=>{{1,6},{2,5},{3,8},{4,7}}=>{{1,7},{2,8},{3,5},{4,6}}
[8,7,2,1,4,5,6,3]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}
[3,6,8,7,1,5,4,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,7,8,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,7,3,8,1,4,6,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,1,7,8,5,4,6,3]=>[2,1,8,7,6,5,4,3]=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,2},{3,8},{4,7},{5,6}}
[7,5,8,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,8,2,4,3,5,1,7]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[7,8,5,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,4,2,1,5,3,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,2,1,6,5,3,4]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}
[4,3,8,1,7,2,5,6]=>[6,4,8,2,7,1,5,3]=>{{1,6},{2,4},{3,8},{5,7}}=>{{1,7},{2,4},{3,8},{5,6}}=>{{1,6},{2,4},{3,8},{5,7}}
[7,8,3,5,4,2,1,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,4,1,2,3,6,5]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,2,6,4,1,3,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,1,8,7,5,4,3,6]=>[2,1,8,7,6,5,4,3]=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,2},{3,8},{4,7},{5,6}}
[6,4,2,1,5,3,8,7]=>[6,5,4,3,2,1,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>{{1,4},{2,5},{3,6},{7,8}}=>{{1,6},{2,5},{3,4},{7,8}}
[4,3,8,7,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[1,8,5,7,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[2,7,5,8,3,6,1,4]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[3,6,8,4,7,5,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,6,7,3,8,4,1,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[1,5,8,6,2,7,3,4]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[6,3,4,5,8,7,1,2]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}
[6,2,4,1,8,3,7,5]=>[8,4,6,2,7,3,5,1]=>{{1,8},{2,4},{3,6},{5,7}}=>{{1,7},{2,4},{3,6},{5,8}}=>{{1,8},{2,4},{3,6},{5,7}}
[5,7,2,4,1,6,3,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[6,7,5,8,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,8,7,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,8,7,6,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,2,7,8,1,6,3,5]=>[7,5,8,6,2,4,1,3]=>{{1,7},{2,5},{3,8},{4,6}}=>{{1,6},{2,8},{3,5},{4,7}}=>{{1,7},{2,5},{3,8},{4,6}}
[2,1,8,7,6,5,3,4]=>[2,1,8,7,6,5,4,3]=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,2},{3,8},{4,7},{5,6}}
[3,8,6,5,2,4,1,7]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[3,8,5,6,1,4,7,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,3,7,8,2,1,6,4]=>[8,6,7,5,4,2,3,1]=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,8},{2,6},{3,7},{4,5}}
[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>{{1,8},{2,5},{3,7},{4,6}}=>{{1,6},{2,7},{3,5},{4,8}}=>{{1,8},{2,5},{3,7},{4,6}}
[3,6,7,8,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[3,7,8,5,1,2,4,6]=>[6,8,7,5,4,1,3,2]=>{{1,6},{2,8},{3,7},{4,5}}=>{{1,5},{2,7},{3,8},{4,6}}=>{{1,6},{2,8},{3,7},{4,5}}
[4,7,8,6,3,5,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[3,8,7,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,8,6,7,5,1,3,4]=>[6,8,7,5,4,1,3,2]=>{{1,6},{2,8},{3,7},{4,5}}=>{{1,5},{2,7},{3,8},{4,6}}=>{{1,6},{2,8},{3,7},{4,5}}
[5,3,7,8,2,1,4,6]=>[7,6,8,5,4,2,1,3]=>{{1,7},{2,6},{3,8},{4,5}}=>{{1,5},{2,8},{3,6},{4,7}}=>{{1,7},{2,6},{3,8},{4,5}}
[2,1,7,8,4,3,5,6]=>[2,1,8,7,6,5,4,3]=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,2},{3,8},{4,7},{5,6}}
[6,5,2,1,8,7,4,3]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}
[4,7,2,8,1,3,6,5]=>[6,8,5,7,3,1,4,2]=>{{1,6},{2,8},{3,5},{4,7}}=>{{1,7},{2,5},{3,8},{4,6}}=>{{1,6},{2,8},{3,5},{4,7}}
[7,3,8,6,1,2,5,4]=>[8,6,7,5,4,2,3,1]=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,8},{2,6},{3,7},{4,5}}
[3,4,7,1,8,2,6,5]=>[6,4,8,2,7,1,5,3]=>{{1,6},{2,4},{3,8},{5,7}}=>{{1,7},{2,4},{3,8},{5,6}}=>{{1,6},{2,4},{3,8},{5,7}}
[2,8,4,1,6,5,3,7]=>[4,8,7,1,6,5,3,2]=>{{1,4},{2,8},{3,7},{5,6}}=>{{1,6},{2,7},{3,4},{5,8}}=>{{1,4},{2,8},{3,7},{5,6}}
[2,8,7,4,1,6,3,5]=>[5,8,7,6,1,4,3,2]=>{{1,5},{2,8},{3,7},{4,6}}=>{{1,6},{2,7},{3,8},{4,5}}=>{{1,5},{2,8},{3,7},{4,6}}
[7,2,8,5,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>{{1,8},{2,5},{3,7},{4,6}}=>{{1,6},{2,7},{3,5},{4,8}}=>{{1,8},{2,5},{3,7},{4,6}}
[7,2,8,5,4,1,6,3]=>[8,6,7,5,4,2,3,1]=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,8},{2,6},{3,7},{4,5}}
[2,8,7,6,1,4,5,3]=>[5,8,7,6,1,4,3,2]=>{{1,5},{2,8},{3,7},{4,6}}=>{{1,6},{2,7},{3,8},{4,5}}=>{{1,5},{2,8},{3,7},{4,6}}
[2,8,6,5,7,3,1,4]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[7,2,8,4,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,4,8,5,2,1,3,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,4,8,5,1,3,7,2]=>[8,6,7,5,4,2,3,1]=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,8},{2,6},{3,7},{4,5}}
[6,3,5,8,2,7,4,1]=>[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}}
[4,3,2,1,8,6,5,7]=>[4,3,2,1,8,7,6,5]=>{{1,4},{2,3},{5,8},{6,7}}=>{{1,3},{2,4},{5,7},{6,8}}=>{{1,4},{2,3},{5,8},{6,7}}
[4,2,1,3,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>{{1,4},{2,3},{5,8},{6,7}}=>{{1,3},{2,4},{5,7},{6,8}}=>{{1,4},{2,3},{5,8},{6,7}}
[5,6,8,2,3,1,7,4]=>[8,6,7,5,4,2,3,1]=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,8},{2,6},{3,7},{4,5}}
[6,5,8,2,4,3,1,7]=>[7,6,8,5,4,2,1,3]=>{{1,7},{2,6},{3,8},{4,5}}=>{{1,5},{2,8},{3,6},{4,7}}=>{{1,7},{2,6},{3,8},{4,5}}
[6,5,8,4,2,3,7,1]=>[8,6,7,5,4,2,3,1]=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,8},{2,6},{3,7},{4,5}}
[7,5,3,8,2,4,1,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,2,1,8,7,6,3,4]=>[8,3,2,7,6,5,4,1]=>{{1,8},{2,3},{4,7},{5,6}}=>{{1,3},{2,6},{4,7},{5,8}}=>{{1,8},{2,3},{4,7},{5,6}}
[5,7,8,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,3,6,4,1,8,7,2]=>[8,5,4,3,2,7,6,1]=>{{1,8},{2,5},{3,4},{6,7}}=>{{1,4},{2,5},{3,7},{6,8}}=>{{1,8},{2,5},{3,4},{6,7}}
[5,3,6,1,4,8,2,7]=>[7,5,4,3,2,8,1,6]=>{{1,7},{2,5},{3,4},{6,8}}=>{{1,4},{2,5},{3,8},{6,7}}=>{{1,7},{2,5},{3,4},{6,8}}
[7,3,5,6,8,4,2,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[6,3,5,1,8,2,7,4]=>[8,6,4,3,7,2,5,1]=>{{1,8},{2,6},{3,4},{5,7}}=>{{1,4},{2,7},{3,6},{5,8}}=>{{1,8},{2,6},{3,4},{5,7}}
[7,3,5,1,6,2,4,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[2,6,8,4,3,7,1,5]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[2,7,8,4,3,6,5,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[1,8,7,5,6,3,4,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[2,7,8,5,6,3,4,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,5,8,6,7,1,3,4]=>[6,8,7,5,4,1,3,2]=>{{1,6},{2,8},{3,7},{4,5}}=>{{1,5},{2,7},{3,8},{4,6}}=>{{1,6},{2,8},{3,7},{4,5}}
[2,4,8,6,1,7,3,5]=>[5,7,8,6,1,4,2,3]=>{{1,5},{2,7},{3,8},{4,6}}=>{{1,6},{2,8},{3,7},{4,5}}=>{{1,5},{2,7},{3,8},{4,6}}
[3,2,1,8,6,7,4,5]=>[3,2,1,8,7,6,5,4]=>{{1,3},{2},{4,8},{5,7},{6}}=>{{1,3},{2},{4,7},{5,8},{6}}=>{{1,3},{2},{4,8},{5,7},{6}}
[4,5,7,6,8,1,3,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[4,6,7,5,8,3,1,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[1,8,5,6,7,2,3,4]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[4,6,5,7,8,2,1,3]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[1,8,4,6,2,7,3,5]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[4,6,3,2,8,7,1,5]=>[7,8,4,3,6,5,1,2]=>{{1,7},{2,8},{3,4},{5,6}}=>{{1,4},{2,6},{3,8},{5,7}}=>{{1,7},{2,8},{3,4},{5,6}}
[4,7,3,2,8,6,5,1]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}
[1,8,4,7,2,6,5,3]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[3,6,4,8,2,7,1,5]=>[7,8,5,6,3,4,1,2]=>{{1,7},{2,8},{3,5},{4,6}}=>{{1,6},{2,5},{3,8},{4,7}}=>{{1,7},{2,8},{3,5},{4,6}}
[4,2,1,6,8,7,3,5]=>[7,3,2,8,6,5,1,4]=>{{1,7},{2,3},{4,8},{5,6}}=>{{1,3},{2,6},{4,8},{5,7}}=>{{1,7},{2,3},{4,8},{5,6}}
[3,4,6,8,1,7,2,5]=>[7,5,8,6,2,4,1,3]=>{{1,7},{2,5},{3,8},{4,6}}=>{{1,6},{2,8},{3,5},{4,7}}=>{{1,7},{2,5},{3,8},{4,6}}
[3,5,6,8,7,1,2,4]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[3,6,5,8,7,2,1,4]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[3,6,7,8,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[3,5,7,8,6,1,4,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,2,1,7,8,6,5,3]=>[8,3,2,7,6,5,4,1]=>{{1,8},{2,3},{4,7},{5,6}}=>{{1,3},{2,6},{4,7},{5,8}}=>{{1,8},{2,3},{4,7},{5,6}}
[2,4,8,7,1,6,5,3]=>[5,8,7,6,1,4,3,2]=>{{1,5},{2,8},{3,7},{4,6}}=>{{1,6},{2,7},{3,8},{4,5}}=>{{1,5},{2,8},{3,7},{4,6}}
[2,1,4,3,6,5,8,7,10,9,12,11]=>[2,1,4,3,6,5,8,7,10,9,12,11]=>{{1,2},{3,4},{5,6},{7,8},{9,10},{11,12}}=>{{1,2},{3,4},{5,6},{7,8},{9,10},{11,12}}=>{{1,2},{3,4},{5,6},{7,8},{9,10},{11,12}}
[4,7,8,5,6,1,2,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[3,7,8,5,6,2,1,4]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[3,7,8,4,2,6,1,5]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[4,6,5,8,7,1,2,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,5,3,1,8,2,7,4]=>[8,6,4,3,7,2,5,1]=>{{1,8},{2,6},{3,4},{5,7}}=>{{1,4},{2,7},{3,6},{5,8}}=>{{1,8},{2,6},{3,4},{5,7}}
[6,5,4,1,8,7,2,3]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}
[6,4,2,1,3,8,5,7]=>[7,5,4,3,2,8,1,6]=>{{1,7},{2,5},{3,4},{6,8}}=>{{1,4},{2,5},{3,8},{6,7}}=>{{1,7},{2,5},{3,4},{6,8}}
[2,6,4,8,3,7,5,1]=>[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}}
[2,6,5,8,7,3,4,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,5,2,1,8,3,4,7]=>[7,6,4,3,8,2,1,5]=>{{1,7},{2,6},{3,4},{5,8}}=>{{1,4},{2,8},{3,6},{5,7}}=>{{1,7},{2,6},{3,4},{5,8}}
[6,7,8,1,4,5,2,3]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[6,7,8,1,3,2,5,4]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[2,5,6,7,8,3,4,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[4,7,8,2,3,1,5,6]=>[6,8,7,5,4,1,3,2]=>{{1,6},{2,8},{3,7},{4,5}}=>{{1,5},{2,7},{3,8},{4,6}}=>{{1,6},{2,8},{3,7},{4,5}}
[4,7,8,3,2,1,6,5]=>[6,8,7,5,4,1,3,2]=>{{1,6},{2,8},{3,7},{4,5}}=>{{1,5},{2,7},{3,8},{4,6}}=>{{1,6},{2,8},{3,7},{4,5}}
[5,7,8,3,1,2,6,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,7,8,4,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,6,4,8,1,7,2,3]=>[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}}
[4,6,3,8,2,1,7,5]=>[6,8,5,7,3,1,4,2]=>{{1,6},{2,8},{3,5},{4,7}}=>{{1,7},{2,5},{3,8},{4,6}}=>{{1,6},{2,8},{3,5},{4,7}}
[7,4,6,1,8,3,5,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,3,5,1,8,4,6,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,3,4,1,8,5,6,2]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}
[4,5,6,2,1,8,7,3]=>[8,5,4,3,2,7,6,1]=>{{1,8},{2,5},{3,4},{6,7}}=>{{1,4},{2,5},{3,7},{6,8}}=>{{1,8},{2,5},{3,4},{6,7}}
[7,4,3,1,8,6,5,2]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}
[7,5,6,1,8,3,4,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,6,5,1,8,4,3,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,6,4,1,8,5,3,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[6,4,2,1,8,7,5,3]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}
[4,3,1,2,8,6,5,7]=>[4,3,2,1,8,7,6,5]=>{{1,4},{2,3},{5,8},{6,7}}=>{{1,3},{2,4},{5,7},{6,8}}=>{{1,4},{2,3},{5,8},{6,7}}
[6,2,4,1,8,5,7,3]=>[8,4,6,2,7,3,5,1]=>{{1,8},{2,4},{3,6},{5,7}}=>{{1,7},{2,4},{3,6},{5,8}}=>{{1,8},{2,4},{3,6},{5,7}}
[6,2,5,1,8,4,7,3]=>[8,4,6,2,7,3,5,1]=>{{1,8},{2,4},{3,6},{5,7}}=>{{1,7},{2,4},{3,6},{5,8}}=>{{1,8},{2,4},{3,6},{5,7}}
[6,2,1,4,8,7,3,5]=>[8,3,2,7,6,5,4,1]=>{{1,8},{2,3},{4,7},{5,6}}=>{{1,3},{2,6},{4,7},{5,8}}=>{{1,8},{2,3},{4,7},{5,6}}
[4,2,1,3,8,7,5,6]=>[4,3,2,1,8,7,6,5]=>{{1,4},{2,3},{5,8},{6,7}}=>{{1,3},{2,4},{5,7},{6,8}}=>{{1,4},{2,3},{5,8},{6,7}}
[7,8,5,6,1,3,4,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,4,2,5,1,3,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,2,1,6,3,4,5]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}
[7,8,3,5,6,4,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,4,5,3,1,6,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,6,4,8,3,7,1,5]=>[7,8,5,6,3,4,1,2]=>{{1,7},{2,8},{3,5},{4,6}}=>{{1,6},{2,5},{3,8},{4,7}}=>{{1,7},{2,8},{3,5},{4,6}}
[1,4,6,8,3,7,5,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[2,1,8,4,7,3,6,5]=>[2,1,8,6,7,4,5,3]=>{{1,2},{3,8},{4,6},{5,7}}=>{{1,2},{3,7},{4,6},{5,8}}=>{{1,2},{3,8},{4,6},{5,7}}
[3,5,8,4,7,6,1,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[4,6,2,5,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>{{1,4},{2,5},{3,6},{7,8}}=>{{1,6},{2,5},{3,4},{7,8}}
[7,5,3,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[3,5,6,7,8,1,4,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[2,1,6,8,4,5,3,7]=>[2,1,7,8,6,5,3,4]=>{{1,2},{3,7},{4,8},{5,6}}=>{{1,2},{3,6},{4,8},{5,7}}=>{{1,2},{3,7},{4,8},{5,6}}
[2,7,1,8,5,3,4,6]=>[3,8,1,7,6,5,4,2]=>{{1,3},{2,8},{4,7},{5,6}}=>{{1,6},{2,3},{4,7},{5,8}}=>{{1,3},{2,8},{4,7},{5,6}}
[3,7,6,8,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,3,8,5,6,7,1,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[4,2,8,1,6,3,7,5]=>[6,4,8,2,7,1,5,3]=>{{1,6},{2,4},{3,8},{5,7}}=>{{1,7},{2,4},{3,8},{5,6}}=>{{1,6},{2,4},{3,8},{5,7}}
[3,4,2,8,6,1,7,5]=>[6,3,2,8,7,1,5,4]=>{{1,6},{2,3},{4,8},{5,7}}=>{{1,3},{2,7},{4,8},{5,6}}=>{{1,6},{2,3},{4,8},{5,7}}
[5,7,8,6,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,7,8,6,1,3,4,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,6,5,8,1,3,4,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,6,4,1,8,3,7,5]=>[4,8,6,1,7,3,5,2]=>{{1,4},{2,8},{3,6},{5,7}}=>{{1,7},{2,6},{3,4},{5,8}}=>{{1,4},{2,8},{3,6},{5,7}}
[3,6,4,5,8,7,1,2]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}
[7,2,1,4,8,3,5,6]=>[8,3,2,6,7,4,5,1]=>{{1,8},{2,3},{4,6},{5,7}}=>{{1,3},{2,7},{4,6},{5,8}}=>{{1,8},{2,3},{4,6},{5,7}}
[5,6,2,7,3,1,4,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[7,5,2,4,3,1,6,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[7,4,6,1,2,5,3,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[7,4,2,6,5,1,3,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[7,4,6,3,1,5,2,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[2,5,1,7,8,3,6,4]=>[3,8,1,7,6,5,4,2]=>{{1,3},{2,8},{4,7},{5,6}}=>{{1,6},{2,3},{4,7},{5,8}}=>{{1,3},{2,8},{4,7},{5,6}}
[2,1,4,7,8,5,6,3]=>[2,1,8,7,6,5,4,3]=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,2},{3,8},{4,7},{5,6}}
[2,5,7,8,1,4,6,3]=>[5,8,7,6,1,4,3,2]=>{{1,5},{2,8},{3,7},{4,6}}=>{{1,6},{2,7},{3,8},{4,5}}=>{{1,5},{2,8},{3,7},{4,6}}
[5,2,1,8,6,3,7,4]=>[8,3,2,7,6,5,4,1]=>{{1,8},{2,3},{4,7},{5,6}}=>{{1,3},{2,6},{4,7},{5,8}}=>{{1,8},{2,3},{4,7},{5,6}}
[4,2,8,5,7,6,3,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[5,3,8,7,6,2,4,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,8,4,7,6,2,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,8,7,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,4,8,3,1,7,2,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,4,2,8,7,1,3,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,3,8,7,2,5,1,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,8,7,4,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,4,8,1,2,7,3,5]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[6,8,5,1,2,3,7,4]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[6,8,5,2,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,8,5,3,1,2,7,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[3,5,6,1,8,4,7,2]=>[8,6,4,3,7,2,5,1]=>{{1,8},{2,6},{3,4},{5,7}}=>{{1,4},{2,7},{3,6},{5,8}}=>{{1,8},{2,6},{3,4},{5,7}}
[3,4,6,8,5,2,7,1]=>[8,6,5,7,3,2,4,1]=>{{1,8},{2,6},{3,5},{4,7}}=>{{1,7},{2,5},{3,6},{4,8}}=>{{1,8},{2,6},{3,5},{4,7}}
[2,1,7,5,8,6,4,3]=>[2,1,8,7,6,5,4,3]=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,2},{3,8},{4,7},{5,6}}
[2,4,1,7,8,6,5,3]=>[3,8,1,7,6,5,4,2]=>{{1,3},{2,8},{4,7},{5,6}}=>{{1,6},{2,3},{4,7},{5,8}}=>{{1,3},{2,8},{4,7},{5,6}}
[3,6,4,8,5,1,7,2]=>[8,6,5,7,3,2,4,1]=>{{1,8},{2,6},{3,5},{4,7}}=>{{1,7},{2,5},{3,6},{4,8}}=>{{1,8},{2,6},{3,5},{4,7}}
[5,2,1,7,8,3,4,6]=>[7,3,2,8,6,5,1,4]=>{{1,7},{2,3},{4,8},{5,6}}=>{{1,3},{2,6},{4,8},{5,7}}=>{{1,7},{2,3},{4,8},{5,6}}
[4,2,8,3,6,7,1,5]=>[7,4,8,2,6,5,1,3]=>{{1,7},{2,4},{3,8},{5,6}}=>{{1,6},{2,4},{3,8},{5,7}}=>{{1,7},{2,4},{3,8},{5,6}}
[4,8,3,1,7,2,5,6]=>[6,8,4,3,7,1,5,2]=>{{1,6},{2,8},{3,4},{5,7}}=>{{1,4},{2,7},{3,8},{5,6}}=>{{1,6},{2,8},{3,4},{5,7}}
[5,8,4,7,3,1,6,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,6,8,3,1,7,5,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,3,1,8,2,4,7,5]=>[8,5,3,7,2,6,4,1]=>{{1,8},{2,5},{3},{4,7},{6}}=>{{1,7},{2,5},{3},{4,8},{6}}=>{{1,8},{2,5},{3},{4,7},{6}}
[6,8,5,3,1,7,4,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,6,3,7,1,2,4,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[6,4,7,2,8,1,5,3]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[6,7,4,8,3,1,5,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,5,7,8,3,1,6,2]=>[8,6,7,5,4,2,3,1]=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,8},{2,6},{3,7},{4,5}}
[4,7,2,5,8,1,6,3]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[5,7,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[3,4,7,8,2,6,1,5]=>[7,5,8,6,2,4,1,3]=>{{1,7},{2,5},{3,8},{4,6}}=>{{1,6},{2,8},{3,5},{4,7}}=>{{1,7},{2,5},{3,8},{4,6}}
[4,8,3,5,6,1,7,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,4,3,6,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[1,8,6,5,2,7,3,4]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[8,7,5,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,5,4,1,3,6,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,8,5,4,2,1,7,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,8,6,2,4,1,7,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,8,2,7,1,6,5,3]=>[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}}
[5,8,7,2,1,6,4,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,6,1,5,4,3,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,6,7,1,4,5,3,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,6,8,1,4,3,5,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[6,7,8,1,3,4,5,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[5,7,8,2,1,4,6,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,7,2,8,1,5,6,3]=>[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}}
[4,6,2,8,3,1,7,5]=>[6,8,5,7,3,1,4,2]=>{{1,6},{2,8},{3,5},{4,7}}=>{{1,7},{2,5},{3,8},{4,6}}=>{{1,6},{2,8},{3,5},{4,7}}
[6,5,8,3,2,1,7,4]=>[8,6,7,5,4,2,3,1]=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,8},{2,6},{3,7},{4,5}}
[7,5,8,3,1,4,6,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,4,3,7,1,6,5,2]=>[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}}
[6,4,3,8,2,1,7,5]=>[8,6,5,7,3,2,4,1]=>{{1,8},{2,6},{3,5},{4,7}}=>{{1,7},{2,5},{3,6},{4,8}}=>{{1,8},{2,6},{3,5},{4,7}}
[5,1,2,4,3,6,7,8]=>[5,2,3,4,1,6,7,8]=>{{1,5},{2},{3},{4},{6},{7},{8}}=>{{1,5},{2},{3},{4},{6},{7},{8}}=>{{1,5},{2},{3},{4},{6},{7},{8}}
[5,8,7,3,4,1,2,6]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[6,7,3,8,5,1,2,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,4,7,6,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[5,3,7,8,6,1,2,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,3,8,7,6,1,2,5]=>[7,6,8,5,4,2,1,3]=>{{1,7},{2,6},{3,8},{4,5}}=>{{1,5},{2,8},{3,6},{4,7}}=>{{1,7},{2,6},{3,8},{4,5}}
[4,8,3,7,5,1,2,6]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[2,5,6,8,1,7,3,4]=>[5,8,7,6,1,4,3,2]=>{{1,5},{2,8},{3,7},{4,6}}=>{{1,6},{2,7},{3,8},{4,5}}=>{{1,5},{2,8},{3,7},{4,6}}
[2,4,1,6,8,7,5,3]=>[3,8,1,7,6,5,4,2]=>{{1,3},{2,8},{4,7},{5,6}}=>{{1,6},{2,3},{4,7},{5,8}}=>{{1,3},{2,8},{4,7},{5,6}}
[8,4,2,6,1,5,3,7]=>[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}}
[4,2,8,7,1,6,3,5]=>[7,5,8,6,2,4,1,3]=>{{1,7},{2,5},{3,8},{4,6}}=>{{1,6},{2,8},{3,5},{4,7}}=>{{1,7},{2,5},{3,8},{4,6}}
[5,2,7,8,1,6,3,4]=>[8,5,7,6,2,4,3,1]=>{{1,8},{2,5},{3,7},{4,6}}=>{{1,6},{2,7},{3,5},{4,8}}=>{{1,8},{2,5},{3,7},{4,6}}
[6,7,2,1,8,5,4,3]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}
[6,7,2,8,1,5,3,4]=>[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}}
[6,7,8,2,1,4,3,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,5,6,2,1,4,3,7]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[3,1,2,8,7,5,6,4]=>[3,2,1,8,7,6,5,4]=>{{1,3},{2},{4,8},{5,7},{6}}=>{{1,3},{2},{4,7},{5,8},{6}}=>{{1,3},{2},{4,8},{5,7},{6}}
[6,3,8,5,2,7,4,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,5,2,8,4,7,3,1]=>[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}}
[6,3,4,5,8,7,2,1]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}
[3,6,4,8,5,7,1,2]=>[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}}
[3,4,7,1,8,6,5,2]=>[8,4,7,2,6,5,3,1]=>{{1,8},{2,4},{3,7},{5,6}}=>{{1,6},{2,4},{3,7},{5,8}}=>{{1,8},{2,4},{3,7},{5,6}}
[6,3,8,4,2,7,1,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[3,6,8,7,1,4,2,5]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[3,6,4,2,8,7,5,1]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}
[8,2,6,3,4,7,5,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[6,8,3,1,7,2,5,4]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[1,8,6,3,7,5,2,4]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[8,7,5,2,6,4,3,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,7,3,1,8,4,2,5]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[1,7,3,8,4,5,2,6]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[8,2,6,1,7,3,5,4]=>[8,4,7,2,6,5,3,1]=>{{1,8},{2,4},{3,7},{5,6}}=>{{1,6},{2,4},{3,7},{5,8}}=>{{1,8},{2,4},{3,7},{5,6}}
[4,7,5,6,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[6,5,4,8,2,7,3,1]=>[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}}
[8,6,4,7,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,7,3,8,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,4,6,8,2,7,3,1]=>[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}}
[7,2,8,6,4,3,5,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,1,8,7,5,6,3,4]=>[2,1,8,7,6,5,4,3]=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,2},{3,8},{4,7},{5,6}}
[6,8,7,2,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,7,4,8,3,5,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,7,4,6,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[5,7,4,8,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,8,4,5,3,7,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,8,4,6,3,7,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,6,4,8,3,7,1,2]=>[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}}
[5,6,3,7,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[5,6,3,8,2,7,1,4]=>[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}}
[5,6,4,8,2,7,1,3]=>[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}}
[5,8,4,6,2,7,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,8,4,5,2,7,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,4,5,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,8,4,5,2,3,1,7]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[5,8,4,6,2,3,1,7]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[5,6,4,8,2,3,1,7]=>[7,6,5,8,3,2,1,4]=>{{1,7},{2,6},{3,5},{4,8}}=>{{1,8},{2,5},{3,6},{4,7}}=>{{1,7},{2,6},{3,5},{4,8}}
[5,6,3,8,2,4,1,7]=>[7,6,5,8,3,2,1,4]=>{{1,7},{2,6},{3,5},{4,8}}=>{{1,8},{2,5},{3,6},{4,7}}=>{{1,7},{2,6},{3,5},{4,8}}
[5,6,3,4,2,8,1,7]=>[7,5,4,3,2,8,1,6]=>{{1,7},{2,5},{3,4},{6,8}}=>{{1,4},{2,5},{3,8},{6,7}}=>{{1,7},{2,5},{3,4},{6,8}}
[4,6,3,5,2,8,1,7]=>[7,5,4,3,2,8,1,6]=>{{1,7},{2,5},{3,4},{6,8}}=>{{1,4},{2,5},{3,8},{6,7}}=>{{1,7},{2,5},{3,4},{6,8}}
[4,6,3,8,2,5,1,7]=>[7,6,5,8,3,2,1,4]=>{{1,7},{2,6},{3,5},{4,8}}=>{{1,8},{2,5},{3,6},{4,7}}=>{{1,7},{2,6},{3,5},{4,8}}
[4,8,3,6,2,5,1,7]=>[7,8,5,6,3,4,1,2]=>{{1,7},{2,8},{3,5},{4,6}}=>{{1,6},{2,5},{3,8},{4,7}}=>{{1,7},{2,8},{3,5},{4,6}}
[5,8,3,6,2,4,1,7]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[6,8,3,5,2,4,1,7]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[7,8,3,5,2,4,1,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,3,5,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,8,3,5,2,7,1,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,8,3,6,2,7,1,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,8,3,6,2,7,1,5]=>[7,8,5,6,3,4,1,2]=>{{1,7},{2,8},{3,5},{4,6}}=>{{1,6},{2,5},{3,8},{4,7}}=>{{1,7},{2,8},{3,5},{4,6}}
[4,6,3,8,2,7,1,5]=>[7,8,5,6,3,4,1,2]=>{{1,7},{2,8},{3,5},{4,6}}=>{{1,6},{2,5},{3,8},{4,7}}=>{{1,7},{2,8},{3,5},{4,6}}
[4,6,3,7,2,5,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[4,7,3,6,2,5,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[4,7,3,8,2,6,1,5]=>[7,8,5,6,3,4,1,2]=>{{1,7},{2,8},{3,5},{4,6}}=>{{1,6},{2,5},{3,8},{4,7}}=>{{1,7},{2,8},{3,5},{4,6}}
[5,7,4,8,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,7,3,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[6,7,3,5,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[6,7,3,8,2,5,1,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,7,4,8,2,5,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,7,5,8,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,8,5,7,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,7,4,8,2,3,1,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,7,3,8,2,4,1,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,7,3,4,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[5,7,3,8,2,4,1,6]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[5,7,4,8,2,3,1,6]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[5,8,4,7,2,3,1,6]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[6,8,4,7,2,3,1,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,4,6,2,3,1,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,3,6,2,4,1,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,8,3,7,2,4,1,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,8,3,7,2,4,1,6]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[4,8,3,7,2,5,1,6]=>[7,8,5,6,3,4,1,2]=>{{1,7},{2,8},{3,5},{4,6}}=>{{1,6},{2,5},{3,8},{4,7}}=>{{1,7},{2,8},{3,5},{4,6}}
[4,7,3,8,2,5,1,6]=>[7,8,5,6,3,4,1,2]=>{{1,7},{2,8},{3,5},{4,6}}=>{{1,6},{2,5},{3,8},{4,7}}=>{{1,7},{2,8},{3,5},{4,6}}
[4,7,3,5,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[6,8,3,4,2,7,1,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,3,4,2,6,1,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,8,3,4,2,5,1,7]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[4,6,5,2,1,3,8,7]=>[6,5,4,3,2,1,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>{{1,4},{2,5},{3,6},{7,8}}=>{{1,6},{2,5},{3,4},{7,8}}
[5,6,4,2,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>{{1,4},{2,5},{3,6},{7,8}}=>{{1,6},{2,5},{3,4},{7,8}}
[6,4,5,3,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>{{1,4},{2,5},{3,6},{7,8}}=>{{1,6},{2,5},{3,4},{7,8}}
[5,4,6,1,3,2,8,7]=>[6,5,4,3,2,1,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>{{1,4},{2,5},{3,6},{7,8}}=>{{1,6},{2,5},{3,4},{7,8}}
[4,7,8,1,6,3,5,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,4,8,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[6,4,8,1,7,5,2,3]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[6,4,7,1,8,2,5,3]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,5,7,6,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,1,6,8,7,4,3,5]=>[2,1,8,7,6,5,4,3]=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,2},{3,8},{4,7},{5,6}}
[2,1,7,8,6,4,5,3]=>[2,1,8,7,6,5,4,3]=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,2},{3,8},{4,7},{5,6}}
[8,4,7,3,6,2,5,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,6,8,5,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,7,8,6,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,8,7,6,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,8,7,5,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,4,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,8,6,2,7,3,1,5]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[6,7,4,2,8,1,5,3]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[6,8,4,2,7,5,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,1,8,6,7,5,3,4]=>[2,1,8,7,6,5,4,3]=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,2},{3,8},{4,7},{5,6}}
[8,6,4,3,7,5,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,8,6,7,3,1,2,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,7,5,8,1,3,4,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,6,5,8,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,5,7,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,6,4,3,8,1,5,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[2,1,7,6,8,3,5,4]=>[2,1,8,7,6,5,4,3]=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,2},{3,8},{4,7},{5,6}}
[7,4,6,3,8,1,2,5]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,5,6,8,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,2,8,7,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,6,2,1,4,8,3,7]=>[7,5,4,3,2,8,1,6]=>{{1,7},{2,5},{3,4},{6,8}}=>{{1,4},{2,5},{3,8},{6,7}}=>{{1,7},{2,5},{3,4},{6,8}}
[3,4,1,2,8,6,5,7]=>[4,3,2,1,8,7,6,5]=>{{1,4},{2,3},{5,8},{6,7}}=>{{1,3},{2,4},{5,7},{6,8}}=>{{1,4},{2,3},{5,8},{6,7}}
[6,3,8,5,2,1,4,7]=>[7,6,8,5,4,2,1,3]=>{{1,7},{2,6},{3,8},{4,5}}=>{{1,5},{2,8},{3,6},{4,7}}=>{{1,7},{2,6},{3,8},{4,5}}
[8,5,2,7,3,1,6,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,5,6,4,2,1,7,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,5,4,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,6,4,1,8,5,7,3]=>[4,8,6,1,7,3,5,2]=>{{1,4},{2,8},{3,6},{5,7}}=>{{1,7},{2,6},{3,4},{5,8}}=>{{1,4},{2,8},{3,6},{5,7}}
[8,7,2,6,3,4,1,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[3,5,8,7,2,4,1,6]=>[7,6,8,5,4,2,1,3]=>{{1,7},{2,6},{3,8},{4,5}}=>{{1,5},{2,8},{3,6},{4,7}}=>{{1,7},{2,6},{3,8},{4,5}}
[4,2,1,3,7,8,5,6]=>[4,3,2,1,8,7,6,5]=>{{1,4},{2,3},{5,8},{6,7}}=>{{1,3},{2,4},{5,7},{6,8}}=>{{1,4},{2,3},{5,8},{6,7}}
[5,2,7,8,6,4,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,3,6,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,7,2,8,6,1,5,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,2,5,1,7,3,4,6]=>[8,4,7,2,6,5,3,1]=>{{1,8},{2,4},{3,7},{5,6}}=>{{1,6},{2,4},{3,7},{5,8}}=>{{1,8},{2,4},{3,7},{5,6}}
[7,2,5,1,8,3,4,6]=>[8,4,7,2,6,5,3,1]=>{{1,8},{2,4},{3,7},{5,6}}=>{{1,6},{2,4},{3,7},{5,8}}=>{{1,8},{2,4},{3,7},{5,6}}
[7,8,2,1,4,3,5,6]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}
[8,2,5,4,6,7,1,3]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,2,6,4,3,1,7,5]=>[8,6,7,5,4,2,3,1]=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,8},{2,6},{3,7},{4,5}}
[8,2,7,4,1,3,5,6]=>[8,5,7,6,2,4,3,1]=>{{1,8},{2,5},{3,7},{4,6}}=>{{1,6},{2,7},{3,5},{4,8}}=>{{1,8},{2,5},{3,7},{4,6}}
[1,8,7,4,3,2,5,6]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[5,8,4,7,2,1,6,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[1,8,7,5,4,3,6,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[1,6,8,4,3,7,5,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[6,8,7,3,2,5,1,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,7,3,1,2,6,4,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[5,2,6,7,8,4,1,3]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[5,3,6,1,2,8,4,7]=>[7,5,4,3,2,8,1,6]=>{{1,7},{2,5},{3,4},{6,8}}=>{{1,4},{2,5},{3,8},{6,7}}=>{{1,7},{2,5},{3,4},{6,8}}
[6,7,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,6,2,7,8,1,5,3]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[1,6,4,7,8,3,5,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[7,8,3,4,2,1,6,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,3,4,1,2,5,8,7]=>[6,5,4,3,2,1,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>{{1,4},{2,5},{3,6},{7,8}}=>{{1,6},{2,5},{3,4},{7,8}}
[8,6,3,2,4,1,7,5]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,5,3,2,6,7,1,4]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[5,6,3,4,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>{{1,4},{2,5},{3,6},{7,8}}=>{{1,6},{2,5},{3,4},{7,8}}
[7,8,3,5,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,1,7,8,5,6,3,4]=>[2,1,8,7,6,5,4,3]=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,2},{3,8},{4,7},{5,6}}
[5,7,3,8,1,6,2,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,4,6,1,5,2,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[1,8,6,7,4,5,2,3]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[1,8,6,7,3,5,2,4]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[7,8,3,6,1,5,2,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,3,6,4,5,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,2,6,4,5,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,2,6,3,5,1,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,2,6,1,5,3,4]=>[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}}
[1,8,6,7,2,5,3,4]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[1,8,5,7,2,6,3,4]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[5,8,2,7,1,6,3,4]=>[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}}
[6,8,2,7,1,5,3,4]=>[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}}
[6,8,2,7,3,5,1,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,8,2,7,4,5,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,8,3,7,4,5,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[3,8,6,7,4,5,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,8,6,7,4,5,1,3]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[2,8,6,7,3,5,1,4]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[2,8,6,7,1,5,3,4]=>[5,8,7,6,1,4,3,2]=>{{1,5},{2,8},{3,7},{4,6}}=>{{1,6},{2,7},{3,8},{4,5}}=>{{1,5},{2,8},{3,7},{4,6}}
[2,8,5,7,1,6,3,4]=>[5,8,7,6,1,4,3,2]=>{{1,5},{2,8},{3,7},{4,6}}=>{{1,6},{2,7},{3,8},{4,5}}=>{{1,5},{2,8},{3,7},{4,6}}
[2,8,1,7,5,6,3,4]=>[3,8,1,7,6,5,4,2]=>{{1,3},{2,8},{4,7},{5,6}}=>{{1,6},{2,3},{4,7},{5,8}}=>{{1,3},{2,8},{4,7},{5,6}}
[2,8,1,7,4,6,3,5]=>[3,8,1,7,6,5,4,2]=>{{1,3},{2,8},{4,7},{5,6}}=>{{1,6},{2,3},{4,7},{5,8}}=>{{1,3},{2,8},{4,7},{5,6}}
[2,8,4,7,1,6,3,5]=>[5,8,7,6,1,4,3,2]=>{{1,5},{2,8},{3,7},{4,6}}=>{{1,6},{2,7},{3,8},{4,5}}=>{{1,5},{2,8},{3,7},{4,6}}
[2,8,4,7,3,6,1,5]=>[7,8,5,6,3,4,1,2]=>{{1,7},{2,8},{3,5},{4,6}}=>{{1,6},{2,5},{3,8},{4,7}}=>{{1,7},{2,8},{3,5},{4,6}}
[2,8,5,7,3,6,1,4]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[3,8,5,7,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,8,3,7,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,8,2,7,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,8,2,7,3,6,1,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,8,2,7,3,6,1,5]=>[7,8,5,6,3,4,1,2]=>{{1,7},{2,8},{3,5},{4,6}}=>{{1,6},{2,5},{3,8},{4,7}}=>{{1,7},{2,8},{3,5},{4,6}}
[4,8,2,7,1,6,3,5]=>[7,8,5,6,3,4,1,2]=>{{1,7},{2,8},{3,5},{4,6}}=>{{1,6},{2,5},{3,8},{4,7}}=>{{1,7},{2,8},{3,5},{4,6}}
[1,8,4,7,2,6,3,5]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[1,8,4,7,3,6,2,5]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[4,8,3,7,1,6,2,5]=>[7,8,5,6,3,4,1,2]=>{{1,7},{2,8},{3,5},{4,6}}=>{{1,6},{2,5},{3,8},{4,7}}=>{{1,7},{2,8},{3,5},{4,6}}
[6,8,3,7,1,5,2,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[1,8,5,7,3,6,2,4]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[1,8,5,7,4,6,2,3]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[5,8,4,7,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,8,4,7,1,5,2,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,8,5,7,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,8,6,7,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,8,6,7,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,8,6,7,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,8,6,7,1,5,2,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,8,5,7,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[1,8,4,7,5,6,2,3]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[1,8,3,7,5,6,2,4]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[3,8,5,7,1,6,2,4]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[3,8,6,7,1,5,2,4]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[3,8,6,7,2,5,1,4]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[4,8,6,7,2,5,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,8,6,7,3,5,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,8,5,7,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,8,5,7,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[3,8,5,7,2,6,1,4]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[3,8,4,7,2,6,1,5]=>[7,8,5,6,3,4,1,2]=>{{1,7},{2,8},{3,5},{4,6}}=>{{1,6},{2,5},{3,8},{4,7}}=>{{1,7},{2,8},{3,5},{4,6}}
[3,8,4,7,1,6,2,5]=>[7,8,5,6,3,4,1,2]=>{{1,7},{2,8},{3,5},{4,6}}=>{{1,6},{2,5},{3,8},{4,7}}=>{{1,7},{2,8},{3,5},{4,6}}
[1,8,3,7,4,6,2,5]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[4,8,2,7,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,8,3,7,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[3,8,4,7,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,8,4,7,5,6,1,3]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[7,5,2,8,6,4,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,4,8,6,1,5,2,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[1,6,7,3,8,5,2,4]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[7,3,8,6,2,5,1,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,4,2,8,6,1,3,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[1,5,7,8,2,6,3,4]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[6,4,3,1,2,8,5,7]=>[7,5,4,3,2,8,1,6]=>{{1,7},{2,5},{3,4},{6,8}}=>{{1,4},{2,5},{3,8},{6,7}}=>{{1,7},{2,5},{3,4},{6,8}}
[6,4,2,8,1,3,7,5]=>[8,6,5,7,3,2,4,1]=>{{1,8},{2,6},{3,5},{4,7}}=>{{1,7},{2,5},{3,6},{4,8}}=>{{1,8},{2,6},{3,5},{4,7}}
[6,3,8,1,4,7,2,5]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[6,5,3,1,4,2,8,7]=>[6,5,4,3,2,1,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>{{1,4},{2,5},{3,6},{7,8}}=>{{1,6},{2,5},{3,4},{7,8}}
[3,5,6,1,2,8,7,4]=>[5,8,4,3,1,7,6,2]=>{{1,5},{2,8},{3,4},{6,7}}=>{{1,4},{2,7},{3,5},{6,8}}=>{{1,5},{2,8},{3,4},{6,7}}
[3,4,7,2,8,6,1,5]=>[7,4,8,2,6,5,1,3]=>{{1,7},{2,4},{3,8},{5,6}}=>{{1,6},{2,4},{3,8},{5,7}}=>{{1,7},{2,4},{3,8},{5,6}}
[3,4,6,2,8,1,5,7]=>[6,4,7,2,8,1,3,5]=>{{1,6},{2,4},{3,7},{5,8}}=>{{1,8},{2,4},{3,7},{5,6}}=>{{1,6},{2,4},{3,7},{5,8}}
[5,3,6,8,4,7,2,1]=>[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}}
[4,2,6,5,8,3,7,1]=>[8,6,4,3,7,2,5,1]=>{{1,8},{2,6},{3,4},{5,7}}=>{{1,4},{2,7},{3,6},{5,8}}=>{{1,8},{2,6},{3,4},{5,7}}
[6,7,8,1,4,3,2,5]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,4,6,1,7,3,2,5]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,3,6,1,4,7,2,5]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,2,6,1,4,3,7,5]=>[8,4,7,2,6,5,3,1]=>{{1,8},{2,4},{3,7},{5,6}}=>{{1,6},{2,4},{3,7},{5,8}}=>{{1,8},{2,4},{3,7},{5,6}}
[6,7,8,5,1,3,2,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,7,8,2,4,3,5,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,7,6,2,8,3,5,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[5,7,3,8,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,7,3,5,8,6,2,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,7,2,1,4,3,6,5]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}
[8,7,3,1,4,6,2,5]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,7,6,3,2,5,4,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,3,5,1,6,2,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,2,5,1,3,6,4]=>[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}}
[8,4,6,5,7,1,2,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,7,6,5,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,7,6,5,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[3,6,4,8,7,5,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,6,4,3,8,7,1,2]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}
[3,4,7,2,8,1,6,5]=>[6,4,8,2,7,1,5,3]=>{{1,6},{2,4},{3,8},{5,7}}=>{{1,7},{2,4},{3,8},{5,6}}=>{{1,6},{2,4},{3,8},{5,7}}
[7,3,8,4,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[3,8,7,5,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,3,6,7,8,5,1,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[3,5,6,4,8,7,1,2]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}
[4,6,8,5,3,7,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,1,6,4,8,7,5,3]=>[2,1,8,7,6,5,4,3]=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,2},{3,8},{4,7},{5,6}}
[5,8,3,6,1,4,2,7]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[1,6,8,7,4,2,3,5]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[1,8,7,6,4,3,2,5]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[7,8,2,1,4,5,6,3]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}
[4,2,6,1,8,5,7,3]=>[8,4,6,2,7,3,5,1]=>{{1,8},{2,4},{3,6},{5,7}}=>{{1,7},{2,4},{3,6},{5,8}}=>{{1,8},{2,4},{3,6},{5,7}}
[7,6,5,8,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,8,6,7,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,6,3,8,1,2,7,5]=>[6,8,5,7,3,1,4,2]=>{{1,6},{2,8},{3,5},{4,7}}=>{{1,7},{2,5},{3,8},{4,6}}=>{{1,6},{2,8},{3,5},{4,7}}
[2,8,5,7,4,3,1,6]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[7,2,5,8,3,4,1,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,3,8,7,1,2,6,4]=>[8,6,7,5,4,2,3,1]=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,8},{2,6},{3,7},{4,5}}
[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>{{1,8},{2,6},{3,5},{4,7}}=>{{1,7},{2,5},{3,6},{4,8}}=>{{1,8},{2,6},{3,5},{4,7}}
[3,5,7,8,4,1,2,6]=>[7,6,8,5,4,2,1,3]=>{{1,7},{2,6},{3,8},{4,5}}=>{{1,5},{2,8},{3,6},{4,7}}=>{{1,7},{2,6},{3,8},{4,5}}
[4,5,6,3,8,7,1,2]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}
[6,3,7,5,8,4,1,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[4,8,2,6,1,5,3,7]=>[7,8,5,6,3,4,1,2]=>{{1,7},{2,8},{3,5},{4,6}}=>{{1,6},{2,5},{3,8},{4,7}}=>{{1,7},{2,8},{3,5},{4,6}}
[4,3,6,2,5,1,8,7]=>[6,4,5,2,3,1,8,7]=>{{1,6},{2,4},{3,5},{7,8}}=>{{1,5},{2,4},{3,6},{7,8}}=>{{1,6},{2,4},{3,5},{7,8}}
[7,8,3,2,5,1,4,6]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[2,1,8,6,4,7,3,5]=>[2,1,8,7,6,5,4,3]=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,2},{3,8},{4,7},{5,6}}
[1,8,3,6,7,4,5,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[1,5,7,8,2,4,6,3]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[7,6,5,1,4,3,2,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[2,6,4,5,1,3,8,7]=>[5,6,4,3,1,2,8,7]=>{{1,5},{2,6},{3,4},{7,8}}=>{{1,4},{2,6},{3,5},{7,8}}=>{{1,5},{2,6},{3,4},{7,8}}
[3,5,6,4,1,8,2,7]=>[7,5,4,3,2,8,1,6]=>{{1,7},{2,5},{3,4},{6,8}}=>{{1,4},{2,5},{3,8},{6,7}}=>{{1,7},{2,5},{3,4},{6,8}}
[7,8,5,4,1,3,2,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,2,3,4,1,6,5]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[4,2,6,3,8,1,7,5]=>[6,4,8,2,7,1,5,3]=>{{1,6},{2,4},{3,8},{5,7}}=>{{1,7},{2,4},{3,8},{5,6}}=>{{1,6},{2,4},{3,8},{5,7}}
[4,2,8,3,1,7,5,6]=>[5,4,8,2,1,7,6,3]=>{{1,5},{2,4},{3,8},{6,7}}=>{{1,7},{2,4},{3,5},{6,8}}=>{{1,5},{2,4},{3,8},{6,7}}
[5,8,7,6,3,1,2,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,5,6,8,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,2,7,1,8,4,6,3]=>[8,4,7,2,6,5,3,1]=>{{1,8},{2,4},{3,7},{5,6}}=>{{1,6},{2,4},{3,7},{5,8}}=>{{1,8},{2,4},{3,7},{5,6}}
[4,2,1,3,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>{{1,4},{2,3},{5,6},{7,8}}=>{{1,3},{2,4},{5,6},{7,8}}=>{{1,4},{2,3},{5,6},{7,8}}
[4,2,6,1,8,5,3,7]=>[7,4,6,2,8,3,1,5]=>{{1,7},{2,4},{3,6},{5,8}}=>{{1,8},{2,4},{3,6},{5,7}}=>{{1,7},{2,4},{3,6},{5,8}}
[7,8,2,1,4,5,3,6]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}
[7,8,4,1,5,3,6,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,8,5,1,6,4,2,3]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[3,8,6,4,2,7,5,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,8,1,7,4,3,6,5]=>[3,8,1,7,6,5,4,2]=>{{1,3},{2,8},{4,7},{5,6}}=>{{1,6},{2,3},{4,7},{5,8}}=>{{1,3},{2,8},{4,7},{5,6}}
[3,7,4,1,8,5,2,6]=>[7,8,4,3,6,5,1,2]=>{{1,7},{2,8},{3,4},{5,6}}=>{{1,4},{2,6},{3,8},{5,7}}=>{{1,7},{2,8},{3,4},{5,6}}
[2,7,1,8,4,5,3,6]=>[3,8,1,7,6,5,4,2]=>{{1,3},{2,8},{4,7},{5,6}}=>{{1,6},{2,3},{4,7},{5,8}}=>{{1,3},{2,8},{4,7},{5,6}}
[4,1,3,2,8,5,6,7]=>[4,2,3,1,8,6,7,5]=>{{1,4},{2},{3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,8},{6},{7}}
[4,3,6,1,5,8,2,7]=>[7,4,5,2,3,8,1,6]=>{{1,7},{2,4},{3,5},{6,8}}=>{{1,5},{2,4},{3,8},{6,7}}=>{{1,7},{2,4},{3,5},{6,8}}
[2,6,1,4,5,8,3,7]=>[3,7,1,5,4,8,2,6]=>{{1,3},{2,7},{4,5},{6,8}}=>{{1,5},{2,3},{4,8},{6,7}}=>{{1,3},{2,7},{4,5},{6,8}}
[8,4,2,1,7,3,6,5]=>[8,6,4,3,7,2,5,1]=>{{1,8},{2,6},{3,4},{5,7}}=>{{1,4},{2,7},{3,6},{5,8}}=>{{1,8},{2,6},{3,4},{5,7}}
[7,4,2,1,8,5,3,6]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}
[6,4,3,1,5,8,2,7]=>[7,5,4,3,2,8,1,6]=>{{1,7},{2,5},{3,4},{6,8}}=>{{1,4},{2,5},{3,8},{6,7}}=>{{1,7},{2,5},{3,4},{6,8}}
[3,7,6,8,4,5,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[1,7,6,8,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[2,4,8,6,7,3,5,1]=>[8,6,7,5,4,2,3,1]=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,8},{2,6},{3,7},{4,5}}
[3,4,8,5,6,7,2,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[6,3,5,8,4,7,2,1]=>[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}}
[2,1,8,7,4,6,3,5]=>[2,1,8,7,6,5,4,3]=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,2},{3,8},{4,7},{5,6}}
[5,8,6,7,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,8,7,5,6,3,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,2,1,6,3,5,8,7]=>[5,3,2,6,1,4,8,7]=>{{1,5},{2,3},{4,6},{7,8}}=>{{1,3},{2,6},{4,5},{7,8}}=>{{1,5},{2,3},{4,6},{7,8}}
[6,2,1,4,3,8,5,7]=>[7,3,2,5,4,8,1,6]=>{{1,7},{2,3},{4,5},{6,8}}=>{{1,3},{2,5},{4,8},{6,7}}=>{{1,7},{2,3},{4,5},{6,8}}
[8,2,1,4,3,6,5,7]=>[8,3,2,5,4,7,6,1]=>{{1,8},{2,3},{4,5},{6,7}}=>{{1,3},{2,5},{4,7},{6,8}}=>{{1,8},{2,3},{4,5},{6,7}}
[6,2,4,1,3,8,5,7]=>[7,4,5,2,3,8,1,6]=>{{1,7},{2,4},{3,5},{6,8}}=>{{1,5},{2,4},{3,8},{6,7}}=>{{1,7},{2,4},{3,5},{6,8}}
[2,1,6,4,3,5,8,7]=>[2,1,6,5,4,3,8,7]=>{{1,2},{3,6},{4,5},{7,8}}=>{{1,2},{3,5},{4,6},{7,8}}=>{{1,2},{3,6},{4,5},{7,8}}
[6,4,2,1,3,5,8,7]=>[6,5,4,3,2,1,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>{{1,4},{2,5},{3,6},{7,8}}=>{{1,6},{2,5},{3,4},{7,8}}
[8,4,2,1,3,6,5,7]=>[8,5,4,3,2,7,6,1]=>{{1,8},{2,5},{3,4},{6,7}}=>{{1,4},{2,5},{3,7},{6,8}}=>{{1,8},{2,5},{3,4},{6,7}}
[8,4,2,1,6,3,5,7]=>[8,6,4,3,7,2,5,1]=>{{1,8},{2,6},{3,4},{5,7}}=>{{1,4},{2,7},{3,6},{5,8}}=>{{1,8},{2,6},{3,4},{5,7}}
[6,4,2,1,8,3,5,7]=>[7,6,4,3,8,2,1,5]=>{{1,7},{2,6},{3,4},{5,8}}=>{{1,4},{2,8},{3,6},{5,7}}=>{{1,7},{2,6},{3,4},{5,8}}
[4,6,2,1,3,8,5,7]=>[5,7,4,3,1,8,2,6]=>{{1,5},{2,7},{3,4},{6,8}}=>{{1,4},{2,8},{3,5},{6,7}}=>{{1,5},{2,7},{3,4},{6,8}}
[2,6,1,4,3,8,5,7]=>[3,7,1,5,4,8,2,6]=>{{1,3},{2,7},{4,5},{6,8}}=>{{1,5},{2,3},{4,8},{6,7}}=>{{1,3},{2,7},{4,5},{6,8}}
[2,1,6,4,3,8,5,7]=>[2,1,7,5,4,8,3,6]=>{{1,2},{3,7},{4,5},{6,8}}=>{{1,2},{3,5},{4,8},{6,7}}=>{{1,2},{3,7},{4,5},{6,8}}
[4,8,2,1,3,6,5,7]=>[5,8,4,3,1,7,6,2]=>{{1,5},{2,8},{3,4},{6,7}}=>{{1,4},{2,7},{3,5},{6,8}}=>{{1,5},{2,8},{3,4},{6,7}}
[6,8,2,1,4,3,5,7]=>[7,8,4,3,6,5,1,2]=>{{1,7},{2,8},{3,4},{5,6}}=>{{1,4},{2,6},{3,8},{5,7}}=>{{1,7},{2,8},{3,4},{5,6}}
[8,6,2,1,4,3,5,7]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}
[2,8,1,4,6,3,5,7]=>[3,8,1,6,7,4,5,2]=>{{1,3},{2,8},{4,6},{5,7}}=>{{1,7},{2,3},{4,6},{5,8}}=>{{1,3},{2,8},{4,6},{5,7}}
[2,6,1,4,8,3,5,7]=>[3,7,1,6,8,4,2,5]=>{{1,3},{2,7},{4,6},{5,8}}=>{{1,8},{2,3},{4,6},{5,7}}=>{{1,3},{2,7},{4,6},{5,8}}
[2,6,4,1,8,3,5,7]=>[4,7,6,1,8,3,2,5]=>{{1,4},{2,7},{3,6},{5,8}}=>{{1,8},{2,6},{3,4},{5,7}}=>{{1,4},{2,7},{3,6},{5,8}}
[2,6,4,8,1,3,5,7]=>[5,7,6,8,1,3,2,4]=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,5},{2,7},{3,6},{4,8}}
[4,6,2,8,1,3,5,7]=>[6,7,5,8,3,1,2,4]=>{{1,6},{2,7},{3,5},{4,8}}=>{{1,8},{2,5},{3,7},{4,6}}=>{{1,6},{2,7},{3,5},{4,8}}
[4,2,6,1,8,3,5,7]=>[6,4,7,2,8,1,3,5]=>{{1,6},{2,4},{3,7},{5,8}}=>{{1,8},{2,4},{3,7},{5,6}}=>{{1,6},{2,4},{3,7},{5,8}}
[6,2,4,1,8,3,5,7]=>[7,4,6,2,8,3,1,5]=>{{1,7},{2,4},{3,6},{5,8}}=>{{1,8},{2,4},{3,6},{5,7}}=>{{1,7},{2,4},{3,6},{5,8}}
[4,2,1,6,8,3,5,7]=>[6,3,2,7,8,1,4,5]=>{{1,6},{2,3},{4,7},{5,8}}=>{{1,3},{2,8},{4,7},{5,6}}=>{{1,6},{2,3},{4,7},{5,8}}
[4,2,1,6,3,8,5,7]=>[5,3,2,7,1,8,4,6]=>{{1,5},{2,3},{4,7},{6,8}}=>{{1,3},{2,8},{4,5},{6,7}}=>{{1,5},{2,3},{4,7},{6,8}}
[4,2,1,3,6,8,5,7]=>[4,3,2,1,7,8,5,6]=>{{1,4},{2,3},{5,7},{6,8}}=>{{1,3},{2,4},{5,8},{6,7}}=>{{1,4},{2,3},{5,7},{6,8}}
[2,1,4,3,8,6,5,7]=>[2,1,4,3,8,7,6,5]=>{{1,2},{3,4},{5,8},{6,7}}=>{{1,2},{3,4},{5,7},{6,8}}=>{{1,2},{3,4},{5,8},{6,7}}
[2,4,1,3,8,6,5,7]=>[3,4,1,2,8,7,6,5]=>{{1,3},{2,4},{5,8},{6,7}}=>{{1,4},{2,3},{5,7},{6,8}}=>{{1,3},{2,4},{5,8},{6,7}}
[4,2,1,3,8,6,5,7]=>[4,3,2,1,8,7,6,5]=>{{1,4},{2,3},{5,8},{6,7}}=>{{1,3},{2,4},{5,7},{6,8}}=>{{1,4},{2,3},{5,8},{6,7}}
[4,2,1,8,3,6,5,7]=>[5,3,2,8,1,7,6,4]=>{{1,5},{2,3},{4,8},{6,7}}=>{{1,3},{2,7},{4,5},{6,8}}=>{{1,5},{2,3},{4,8},{6,7}}
[4,2,1,8,6,3,5,7]=>[6,3,2,8,7,1,5,4]=>{{1,6},{2,3},{4,8},{5,7}}=>{{1,3},{2,7},{4,8},{5,6}}=>{{1,6},{2,3},{4,8},{5,7}}
[8,2,1,6,4,3,5,7]=>[8,3,2,7,6,5,4,1]=>{{1,8},{2,3},{4,7},{5,6}}=>{{1,3},{2,6},{4,7},{5,8}}=>{{1,8},{2,3},{4,7},{5,6}}
[4,2,8,1,6,3,5,7]=>[6,4,8,2,7,1,5,3]=>{{1,6},{2,4},{3,8},{5,7}}=>{{1,7},{2,4},{3,8},{5,6}}=>{{1,6},{2,4},{3,8},{5,7}}
[2,4,1,8,3,6,5,7]=>[3,5,1,8,2,7,6,4]=>{{1,3},{2,5},{4,8},{6,7}}=>{{1,7},{2,3},{4,5},{6,8}}=>{{1,3},{2,5},{4,8},{6,7}}
[2,1,4,8,3,6,5,7]=>[2,1,5,8,3,7,6,4]=>{{1,2},{3,5},{4,8},{6,7}}=>{{1,2},{3,7},{4,5},{6,8}}=>{{1,2},{3,5},{4,8},{6,7}}
[2,4,8,1,6,3,5,7]=>[4,6,8,1,7,2,5,3]=>{{1,4},{2,6},{3,8},{5,7}}=>{{1,7},{2,8},{3,4},{5,6}}=>{{1,4},{2,6},{3,8},{5,7}}
[2,4,8,6,1,3,5,7]=>[5,6,8,7,1,2,4,3]=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}
[4,2,8,6,1,3,5,7]=>[6,5,8,7,2,1,4,3]=>{{1,6},{2,5},{3,8},{4,7}}=>{{1,7},{2,8},{3,5},{4,6}}=>{{1,6},{2,5},{3,8},{4,7}}
[2,1,8,6,4,3,5,7]=>[2,1,8,7,6,5,4,3]=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,2},{3,8},{4,7},{5,6}}
[2,8,6,1,4,3,5,7]=>[4,8,7,1,6,5,3,2]=>{{1,4},{2,8},{3,7},{5,6}}=>{{1,6},{2,7},{3,4},{5,8}}=>{{1,4},{2,8},{3,7},{5,6}}
[2,8,6,4,1,3,5,7]=>[5,8,7,6,1,4,3,2]=>{{1,5},{2,8},{3,7},{4,6}}=>{{1,6},{2,7},{3,8},{4,5}}=>{{1,5},{2,8},{3,7},{4,6}}
[4,8,6,2,1,3,5,7]=>[6,8,7,5,4,1,3,2]=>{{1,6},{2,8},{3,7},{4,5}}=>{{1,5},{2,7},{3,8},{4,6}}=>{{1,6},{2,8},{3,7},{4,5}}
[4,3,6,1,5,2,8,7]=>[6,4,5,2,3,1,8,7]=>{{1,6},{2,4},{3,5},{7,8}}=>{{1,5},{2,4},{3,6},{7,8}}=>{{1,6},{2,4},{3,5},{7,8}}
[4,3,8,2,6,1,7,5]=>[6,4,8,2,7,1,5,3]=>{{1,6},{2,4},{3,8},{5,7}}=>{{1,7},{2,4},{3,8},{5,6}}=>{{1,6},{2,4},{3,8},{5,7}}
[4,3,8,1,7,2,6,5]=>[6,4,8,2,7,1,5,3]=>{{1,6},{2,4},{3,8},{5,7}}=>{{1,7},{2,4},{3,8},{5,6}}=>{{1,6},{2,4},{3,8},{5,7}}
[5,4,7,6,8,1,3,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[4,3,7,1,8,5,6,2]=>[8,4,7,2,6,5,3,1]=>{{1,8},{2,4},{3,7},{5,6}}=>{{1,6},{2,4},{3,7},{5,8}}=>{{1,8},{2,4},{3,7},{5,6}}
[4,3,6,5,8,1,7,2]=>[8,6,4,3,7,2,5,1]=>{{1,8},{2,6},{3,4},{5,7}}=>{{1,4},{2,7},{3,6},{5,8}}=>{{1,8},{2,6},{3,4},{5,7}}
[6,3,5,4,8,1,7,2]=>[8,6,4,3,7,2,5,1]=>{{1,8},{2,6},{3,4},{5,7}}=>{{1,4},{2,7},{3,6},{5,8}}=>{{1,8},{2,6},{3,4},{5,7}}
[7,4,6,5,8,1,3,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,2,7,1,5,3,6,4]=>[8,4,7,2,6,5,3,1]=>{{1,8},{2,4},{3,7},{5,6}}=>{{1,6},{2,4},{3,7},{5,8}}=>{{1,8},{2,4},{3,7},{5,6}}
[8,2,4,1,7,3,6,5]=>[8,4,6,2,7,3,5,1]=>{{1,8},{2,4},{3,6},{5,7}}=>{{1,7},{2,4},{3,6},{5,8}}=>{{1,8},{2,4},{3,6},{5,7}}
[3,2,4,1,8,5,7,6]=>[4,2,3,1,8,6,7,5]=>{{1,4},{2},{3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,8},{6},{7}}
[4,1,3,2,7,6,8,5]=>[4,2,3,1,8,6,7,5]=>{{1,4},{2},{3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,8},{6},{7}}
[7,2,4,1,8,5,6,3]=>[8,4,7,2,6,5,3,1]=>{{1,8},{2,4},{3,7},{5,6}}=>{{1,6},{2,4},{3,7},{5,8}}=>{{1,8},{2,4},{3,7},{5,6}}
[7,6,8,1,5,2,4,3]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,6,8,1,3,2,5,4]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,2,8,1,5,4,6,3]=>[8,4,7,2,6,5,3,1]=>{{1,8},{2,4},{3,7},{5,6}}=>{{1,6},{2,4},{3,7},{5,8}}=>{{1,8},{2,4},{3,7},{5,6}}
[2,1,6,5,8,3,7,4]=>[2,1,8,6,7,4,5,3]=>{{1,2},{3,8},{4,6},{5,7}}=>{{1,2},{3,7},{4,6},{5,8}}=>{{1,2},{3,8},{4,6},{5,7}}
[6,5,7,4,8,1,3,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[5,4,6,3,8,1,7,2]=>[8,6,4,3,7,2,5,1]=>{{1,8},{2,6},{3,4},{5,7}}=>{{1,4},{2,7},{3,6},{5,8}}=>{{1,8},{2,6},{3,4},{5,7}}
[1,6,8,5,3,7,4,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[6,4,8,1,7,3,5,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[6,4,8,7,1,5,2,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,2,1,7,8,5,3,6]=>[7,3,2,8,6,5,1,4]=>{{1,7},{2,3},{4,8},{5,6}}=>{{1,3},{2,6},{4,8},{5,7}}=>{{1,7},{2,3},{4,8},{5,6}}
[6,2,4,8,3,7,5,1]=>[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}}
[7,8,2,6,3,1,5,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,7,8,4,1,6,5,3]=>[5,8,7,6,1,4,3,2]=>{{1,5},{2,8},{3,7},{4,6}}=>{{1,6},{2,7},{3,8},{4,5}}=>{{1,5},{2,8},{3,7},{4,6}}
[2,8,4,1,6,7,5,3]=>[4,8,7,1,6,5,3,2]=>{{1,4},{2,8},{3,7},{5,6}}=>{{1,6},{2,7},{3,4},{5,8}}=>{{1,4},{2,8},{3,7},{5,6}}
[2,1,8,4,7,5,6,3]=>[2,1,8,7,6,5,4,3]=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,2},{3,8},{4,7},{5,6}}
[8,3,7,1,5,6,2,4]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[5,2,1,8,6,7,4,3]=>[8,3,2,7,6,5,4,1]=>{{1,8},{2,3},{4,7},{5,6}}=>{{1,3},{2,6},{4,7},{5,8}}=>{{1,8},{2,3},{4,7},{5,6}}
[8,7,6,5,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,6,1,5,3,4,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[1,8,6,7,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[6,3,5,2,1,4,8,7]=>[6,5,4,3,2,1,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>{{1,4},{2,5},{3,6},{7,8}}=>{{1,6},{2,5},{3,4},{7,8}}
[8,3,5,7,2,4,1,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,5,2,7,4,3,1,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,5,3,1,2,4,8,7]=>[6,5,4,3,2,1,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>{{1,4},{2,5},{3,6},{7,8}}=>{{1,6},{2,5},{3,4},{7,8}}
[8,5,3,7,1,4,2,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,8,3,7,1,2,6,5]=>[6,8,5,7,3,1,4,2]=>{{1,6},{2,8},{3,5},{4,7}}=>{{1,7},{2,5},{3,8},{4,6}}=>{{1,6},{2,8},{3,5},{4,7}}
[2,1,8,7,5,3,4,6]=>[2,1,8,7,6,5,4,3]=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,2},{3,8},{4,7},{5,6}}
[2,8,7,5,4,1,3,6]=>[6,8,7,5,4,1,3,2]=>{{1,6},{2,8},{3,7},{4,5}}=>{{1,5},{2,7},{3,8},{4,6}}=>{{1,6},{2,8},{3,7},{4,5}}
[8,7,2,6,4,1,3,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,3,7,8,2,4,6,1]=>[8,6,7,5,4,2,3,1]=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,8},{2,6},{3,7},{4,5}}
[5,7,8,6,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,6,3,1,8,7,2,4]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}
[6,4,3,2,1,8,5,7]=>[7,5,4,3,2,8,1,6]=>{{1,7},{2,5},{3,4},{6,8}}=>{{1,4},{2,5},{3,8},{6,7}}=>{{1,7},{2,5},{3,4},{6,8}}
[5,8,3,2,7,1,6,4]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,7,2,6,1,5,4,3]=>[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}}
[1,8,5,7,4,3,6,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[1,8,5,7,2,4,6,3]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[5,8,4,6,7,1,3,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,2,8,5,6,1,4,3]=>[8,6,7,5,4,2,3,1]=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,8},{2,6},{3,7},{4,5}}
[3,6,5,8,1,4,2,7]=>[7,6,5,8,3,2,1,4]=>{{1,7},{2,6},{3,5},{4,8}}=>{{1,8},{2,5},{3,6},{4,7}}=>{{1,7},{2,6},{3,5},{4,8}}
[4,3,6,8,2,1,5,7]=>[6,5,7,8,2,1,3,4]=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}
[6,4,2,5,8,3,1,7]=>[7,6,4,3,8,2,1,5]=>{{1,7},{2,6},{3,4},{5,8}}=>{{1,4},{2,8},{3,6},{5,7}}=>{{1,7},{2,6},{3,4},{5,8}}
[6,3,7,4,8,5,2,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[4,7,2,5,8,6,3,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[5,4,8,1,7,6,2,3]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[5,2,8,1,7,3,6,4]=>[8,4,7,2,6,5,3,1]=>{{1,8},{2,4},{3,7},{5,6}}=>{{1,6},{2,4},{3,7},{5,8}}=>{{1,8},{2,4},{3,7},{5,6}}
[6,4,8,2,1,7,5,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,7,3,8,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,4,7,8,1,5,3,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,3,7,8,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,6,8,2,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,5,8,7,1,3,6,4]=>[5,8,7,6,1,4,3,2]=>{{1,5},{2,8},{3,7},{4,6}}=>{{1,6},{2,7},{3,8},{4,5}}=>{{1,5},{2,8},{3,7},{4,6}}
[5,3,8,7,2,1,6,4]=>[8,6,7,5,4,2,3,1]=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,8},{2,6},{3,7},{4,5}}
[8,3,7,6,1,5,4,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,2,7,6,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,8},{2,6},{3,7},{4,5}}
[4,3,8,7,6,2,1,5]=>[7,6,8,5,4,2,1,3]=>{{1,7},{2,6},{3,8},{4,5}}=>{{1,5},{2,8},{3,6},{4,7}}=>{{1,7},{2,6},{3,8},{4,5}}
[2,4,8,7,6,1,3,5]=>[6,7,8,5,4,1,2,3]=>{{1,6},{2,7},{3,8},{4,5}}=>{{1,5},{2,8},{3,7},{4,6}}=>{{1,6},{2,7},{3,8},{4,5}}
[3,5,8,7,2,6,1,4]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[4,7,3,8,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,5,8,6,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,8,7,3,6,4,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[3,8,7,6,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,8,7,6,5,4,1,3]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[7,8,5,6,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,5,3,6,1,2,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,5,6,3,1,4,2,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[7,5,8,3,1,4,2,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,5,3,1,4,2,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,5,3,1,6,2,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,5,3,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,5,3,6,1,4,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,5,3,6,4,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,5,3,4,1,6,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,5,3,1,4,6,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,5,8,3,1,2,6,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,5,8,3,4,1,6,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,5,8,3,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,5,3,8,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,5,3,8,4,1,6,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,5,3,8,1,4,6,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,5,3,1,8,4,6,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,5,3,1,8,2,6,4]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,5,3,1,6,2,4,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[7,5,3,1,6,4,2,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[7,5,3,1,8,4,2,6]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,5,3,1,8,6,2,4]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,5,3,8,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,5,3,8,6,1,4,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,5,3,8,6,4,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,5,8,3,6,4,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,5,8,3,6,1,4,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,5,8,3,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,5,8,3,1,6,2,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,5,3,8,1,6,2,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,5,3,8,1,4,2,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,5,3,6,1,4,2,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[7,5,3,6,4,1,2,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[7,5,3,8,4,1,2,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,5,3,8,6,1,2,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,5,8,6,3,1,2,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,5,8,6,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,5,8,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,5,6,8,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,5,6,3,8,1,2,4]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,5,6,3,8,1,4,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,5,6,3,8,4,1,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,5,3,6,8,4,1,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,5,3,6,8,1,4,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[4,6,8,3,5,7,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,1,6,8,4,7,3,5]=>[2,1,8,7,6,5,4,3]=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,2},{3,8},{4,7},{5,6}}
[5,3,6,8,4,7,1,2]=>[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}}
[3,1,2,6,8,5,7,4]=>[3,2,1,8,7,6,5,4]=>{{1,3},{2},{4,8},{5,7},{6}}=>{{1,3},{2},{4,7},{5,8},{6}}=>{{1,3},{2},{4,8},{5,7},{6}}
[4,3,1,7,8,2,6,5]=>[6,3,2,8,7,1,5,4]=>{{1,6},{2,3},{4,8},{5,7}}=>{{1,3},{2,7},{4,8},{5,6}}=>{{1,6},{2,3},{4,8},{5,7}}
[5,4,7,3,8,6,1,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[5,8,4,7,6,3,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,8,7,1,4,2,6,3]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[4,7,3,6,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[5,3,7,6,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[1,6,8,7,4,2,5,3]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[6,4,8,7,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,3,7,4,8,5,1,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[2,4,1,7,8,6,3,5]=>[3,7,1,8,6,5,2,4]=>{{1,3},{2,7},{4,8},{5,6}}=>{{1,6},{2,3},{4,8},{5,7}}=>{{1,3},{2,7},{4,8},{5,6}}
[4,2,1,7,3,8,5,6]=>[5,3,2,8,1,7,6,4]=>{{1,5},{2,3},{4,8},{6,7}}=>{{1,3},{2,7},{4,5},{6,8}}=>{{1,5},{2,3},{4,8},{6,7}}
[6,2,8,4,3,1,5,7]=>[7,6,8,5,4,2,1,3]=>{{1,7},{2,6},{3,8},{4,5}}=>{{1,5},{2,8},{3,6},{4,7}}=>{{1,7},{2,6},{3,8},{4,5}}
[6,4,2,7,3,5,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[7,8,3,2,5,6,1,4]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,7,6,1,2,4,5,3]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,3,6,5,2,1,4,7]=>[8,6,7,5,4,2,3,1]=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,8},{2,6},{3,7},{4,5}}
[8,2,4,1,6,5,3,7]=>[8,4,7,2,6,5,3,1]=>{{1,8},{2,4},{3,7},{5,6}}=>{{1,6},{2,4},{3,7},{5,8}}=>{{1,8},{2,4},{3,7},{5,6}}
[8,2,4,1,7,6,3,5]=>[8,4,7,2,6,5,3,1]=>{{1,8},{2,4},{3,7},{5,6}}=>{{1,6},{2,4},{3,7},{5,8}}=>{{1,8},{2,4},{3,7},{5,6}}
[6,8,3,7,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,8,1,7,5,4,3,6]=>[3,8,1,7,6,5,4,2]=>{{1,3},{2,8},{4,7},{5,6}}=>{{1,6},{2,3},{4,7},{5,8}}=>{{1,3},{2,8},{4,7},{5,6}}
[7,3,8,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[1,8,7,6,5,2,4,3]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[4,3,1,2,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>{{1,4},{2,3},{5,8},{6,7}}=>{{1,3},{2,4},{5,7},{6,8}}=>{{1,4},{2,3},{5,8},{6,7}}
[8,6,4,3,1,5,7,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,4,1,5,2,7,3]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,6,5,3,2,1,7,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,2,4,5,3,1,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,5,1,7,3,2,4]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,4,8,3,1,6,2,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,7,4,1,8,2,6,3]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,5,7,4,6,1,3,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[1,8,5,3,7,2,6,4]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[4,3,1,8,7,5,2,6]=>[7,3,2,8,6,5,1,4]=>{{1,7},{2,3},{4,8},{5,6}}=>{{1,3},{2,6},{4,8},{5,7}}=>{{1,7},{2,3},{4,8},{5,6}}
[7,3,6,8,5,1,2,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[3,6,5,2,8,1,4,7]=>[6,7,4,3,8,1,2,5]=>{{1,6},{2,7},{3,4},{5,8}}=>{{1,4},{2,8},{3,7},{5,6}}=>{{1,6},{2,7},{3,4},{5,8}}
[4,2,6,3,8,1,5,7]=>[6,4,7,2,8,1,3,5]=>{{1,6},{2,4},{3,7},{5,8}}=>{{1,8},{2,4},{3,7},{5,6}}=>{{1,6},{2,4},{3,7},{5,8}}
[8,7,6,4,1,5,2,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,4,8,1,6,5,3,7]=>[4,7,8,1,6,5,2,3]=>{{1,4},{2,7},{3,8},{5,6}}=>{{1,6},{2,8},{3,4},{5,7}}=>{{1,4},{2,7},{3,8},{5,6}}
[8,5,7,6,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,1,5,8,6,4,3,7]=>[2,1,7,8,6,5,3,4]=>{{1,2},{3,7},{4,8},{5,6}}=>{{1,2},{3,6},{4,8},{5,7}}=>{{1,2},{3,7},{4,8},{5,6}}
[1,8,5,7,4,3,2,6]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[2,7,1,4,8,3,5,6]=>[3,8,1,6,7,4,5,2]=>{{1,3},{2,8},{4,6},{5,7}}=>{{1,7},{2,3},{4,6},{5,8}}=>{{1,3},{2,8},{4,6},{5,7}}
[5,6,2,4,8,7,1,3]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}
[6,5,8,7,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,3,8,1,2,7,5,6]=>[5,4,8,2,1,7,6,3]=>{{1,5},{2,4},{3,8},{6,7}}=>{{1,7},{2,4},{3,5},{6,8}}=>{{1,5},{2,4},{3,8},{6,7}}
[5,6,7,8,1,3,4,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,7,8,6,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,4,5,3,7,2,6,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[4,7,5,2,8,1,6,3]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[4,6,3,8,5,1,7,2]=>[8,6,5,7,3,2,4,1]=>{{1,8},{2,6},{3,5},{4,7}}=>{{1,7},{2,5},{3,6},{4,8}}=>{{1,8},{2,6},{3,5},{4,7}}
[3,6,4,8,1,7,2,5]=>[7,8,5,6,3,4,1,2]=>{{1,7},{2,8},{3,5},{4,6}}=>{{1,6},{2,5},{3,8},{4,7}}=>{{1,7},{2,8},{3,5},{4,6}}
[7,3,8,4,1,5,2,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,2,8,3,6,1,5,7]=>[6,4,8,2,7,1,5,3]=>{{1,6},{2,4},{3,8},{5,7}}=>{{1,7},{2,4},{3,8},{5,6}}=>{{1,6},{2,4},{3,8},{5,7}}
[6,7,5,8,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,8,5,7,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[3,6,5,4,2,8,1,7]=>[7,5,4,3,2,8,1,6]=>{{1,7},{2,5},{3,4},{6,8}}=>{{1,4},{2,5},{3,8},{6,7}}=>{{1,7},{2,5},{3,4},{6,8}}
[7,4,5,3,8,2,1,6]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[6,8,5,4,3,2,1,7]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[7,3,5,4,8,1,6,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[5,6,8,4,3,1,7,2]=>[8,6,7,5,4,2,3,1]=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,8},{2,6},{3,7},{4,5}}
[6,8,5,4,1,2,7,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,8,2,4,3,7,1,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,5,8,4,3,2,1,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,8,5,7,3,2,1,6]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[7,8,2,1,4,3,6,5]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}
[4,3,6,5,8,7,1,2]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}
[4,2,6,1,8,3,7,5]=>[6,4,8,2,7,1,5,3]=>{{1,6},{2,4},{3,8},{5,7}}=>{{1,7},{2,4},{3,8},{5,6}}=>{{1,6},{2,4},{3,8},{5,7}}
[6,7,3,8,4,5,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,8,3,6,5,7,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,6,3,8,4,7,1,2]=>[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}}
[5,6,2,7,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[7,8,4,5,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,6,2,3,1,8,4,7]=>[7,5,4,3,2,8,1,6]=>{{1,7},{2,5},{3,4},{6,8}}=>{{1,4},{2,5},{3,8},{6,7}}=>{{1,7},{2,5},{3,4},{6,8}}
[5,6,3,4,1,8,2,7]=>[7,5,4,3,2,8,1,6]=>{{1,7},{2,5},{3,4},{6,8}}=>{{1,4},{2,5},{3,8},{6,7}}=>{{1,7},{2,5},{3,4},{6,8}}
[3,6,4,5,1,8,2,7]=>[7,5,4,3,2,8,1,6]=>{{1,7},{2,5},{3,4},{6,8}}=>{{1,4},{2,5},{3,8},{6,7}}=>{{1,7},{2,5},{3,4},{6,8}}
[2,6,4,8,1,5,3,7]=>[5,7,6,8,1,3,2,4]=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,5},{2,7},{3,6},{4,8}}
[1,8,3,6,5,7,2,4]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[1,7,5,8,2,6,3,4]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[6,7,5,8,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,8,6,7,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,7,2,8,1,4,3,5]=>[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}}
[2,7,5,8,1,4,3,6]=>[5,8,7,6,1,4,3,2]=>{{1,5},{2,8},{3,7},{4,6}}=>{{1,6},{2,7},{3,8},{4,5}}=>{{1,5},{2,8},{3,7},{4,6}}
[2,3,1,8,6,7,4,5]=>[3,2,1,8,7,6,5,4]=>{{1,3},{2},{4,8},{5,7},{6}}=>{{1,3},{2},{4,7},{5,8},{6}}=>{{1,3},{2},{4,8},{5,7},{6}}
[2,8,1,4,3,7,5,6]=>[3,8,1,5,4,7,6,2]=>{{1,3},{2,8},{4,5},{6,7}}=>{{1,5},{2,3},{4,7},{6,8}}=>{{1,3},{2,8},{4,5},{6,7}}
[3,4,1,8,6,7,2,5]=>[7,3,2,8,6,5,1,4]=>{{1,7},{2,3},{4,8},{5,6}}=>{{1,3},{2,6},{4,8},{5,7}}=>{{1,7},{2,3},{4,8},{5,6}}
[7,8,3,4,1,6,2,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[3,4,2,8,1,6,5,7]=>[5,3,2,8,1,7,6,4]=>{{1,5},{2,3},{4,8},{6,7}}=>{{1,3},{2,7},{4,5},{6,8}}=>{{1,5},{2,3},{4,8},{6,7}}
[3,6,5,4,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>{{1,4},{2,5},{3,6},{7,8}}=>{{1,6},{2,5},{3,4},{7,8}}
[3,6,5,1,2,4,8,7]=>[5,6,4,3,1,2,8,7]=>{{1,5},{2,6},{3,4},{7,8}}=>{{1,4},{2,6},{3,5},{7,8}}=>{{1,5},{2,6},{3,4},{7,8}}
[5,6,7,8,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,2,6,8,5,7,3,1]=>[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}}
[2,1,5,8,7,6,3,4]=>[2,1,8,7,6,5,4,3]=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,2},{3,8},{4,7},{5,6}}
[4,2,8,6,7,3,1,5]=>[7,6,8,5,4,2,1,3]=>{{1,7},{2,6},{3,8},{4,5}}=>{{1,5},{2,8},{3,6},{4,7}}=>{{1,7},{2,6},{3,8},{4,5}}
[7,4,3,8,2,1,5,6]=>[8,6,5,7,3,2,4,1]=>{{1,8},{2,6},{3,5},{4,7}}=>{{1,7},{2,5},{3,6},{4,8}}=>{{1,8},{2,6},{3,5},{4,7}}
[4,7,5,8,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,1,5,8,7,3,4,6]=>[2,1,7,8,6,5,3,4]=>{{1,2},{3,7},{4,8},{5,6}}=>{{1,2},{3,6},{4,8},{5,7}}=>{{1,2},{3,7},{4,8},{5,6}}
[8,5,7,3,6,1,4,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,8,7,2,5,3,1,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,2,1,6,4,7,5,3]=>[8,3,2,7,6,5,4,1]=>{{1,8},{2,3},{4,7},{5,6}}=>{{1,3},{2,6},{4,7},{5,8}}=>{{1,8},{2,3},{4,7},{5,6}}
[7,8,2,5,6,1,4,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,4,2,5,1,6,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,6,8,4,2,5,3,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,5,7,1,6,3,2,4]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[4,1,2,3,7,6,8,5]=>[4,2,3,1,8,6,7,5]=>{{1,4},{2},{3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,8},{6},{7}}
[3,2,4,1,8,5,6,7]=>[4,2,3,1,8,6,7,5]=>{{1,4},{2},{3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,8},{6},{7}}
[3,4,8,6,5,2,1,7]=>[7,6,8,5,4,2,1,3]=>{{1,7},{2,6},{3,8},{4,5}}=>{{1,5},{2,8},{3,6},{4,7}}=>{{1,7},{2,6},{3,8},{4,5}}
[8,6,7,1,5,4,3,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[2,1,6,5,8,4,7,3]=>[2,1,8,6,7,4,5,3]=>{{1,2},{3,8},{4,6},{5,7}}=>{{1,2},{3,7},{4,6},{5,8}}=>{{1,2},{3,8},{4,6},{5,7}}
[2,6,4,8,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,4,8,6,3,2,5,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,8,4,7,2,1,3,6]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[2,1,8,4,3,7,5,6]=>[2,1,8,5,4,7,6,3]=>{{1,2},{3,8},{4,5},{6,7}}=>{{1,2},{3,5},{4,7},{6,8}}=>{{1,2},{3,8},{4,5},{6,7}}
[7,3,5,8,1,4,2,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[3,8,7,6,1,4,2,5]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[1,6,8,4,7,5,2,3]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[8,4,2,6,7,5,3,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,3,6,4,5,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,7,8,6,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[1,8,6,4,5,2,3,7]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[4,8,2,1,3,7,5,6]=>[5,8,4,3,1,7,6,2]=>{{1,5},{2,8},{3,4},{6,7}}=>{{1,4},{2,7},{3,5},{6,8}}=>{{1,5},{2,8},{3,4},{6,7}}
[4,3,7,8,5,1,6,2]=>[8,6,7,5,4,2,3,1]=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,8},{2,6},{3,7},{4,5}}
[2,8,7,6,3,4,1,5]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[5,8,2,6,3,4,1,7]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[6,5,8,7,1,3,4,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,7,8,1,5,2,4,3]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[5,7,8,4,1,2,6,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,7,8,5,6,1,3,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,6,4,8,1,2,7,3]=>[8,6,5,7,3,2,4,1]=>{{1,8},{2,6},{3,5},{4,7}}=>{{1,7},{2,5},{3,6},{4,8}}=>{{1,8},{2,6},{3,5},{4,7}}
[6,5,4,1,2,3,8,7]=>[6,5,4,3,2,1,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>{{1,4},{2,5},{3,6},{7,8}}=>{{1,6},{2,5},{3,4},{7,8}}
[4,5,6,7,8,1,3,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[5,6,3,8,1,4,2,7]=>[7,6,5,8,3,2,1,4]=>{{1,7},{2,6},{3,5},{4,8}}=>{{1,8},{2,5},{3,6},{4,7}}=>{{1,7},{2,6},{3,5},{4,8}}
[4,6,3,8,2,1,5,7]=>[6,7,5,8,3,1,2,4]=>{{1,6},{2,7},{3,5},{4,8}}=>{{1,8},{2,5},{3,7},{4,6}}=>{{1,6},{2,7},{3,5},{4,8}}
[4,7,8,3,2,1,5,6]=>[6,8,7,5,4,1,3,2]=>{{1,6},{2,8},{3,7},{4,5}}=>{{1,5},{2,7},{3,8},{4,6}}=>{{1,6},{2,8},{3,7},{4,5}}
[5,7,8,3,1,4,2,6]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[4,7,8,2,3,1,6,5]=>[6,8,7,5,4,1,3,2]=>{{1,6},{2,8},{3,7},{4,5}}=>{{1,5},{2,7},{3,8},{4,6}}=>{{1,6},{2,8},{3,7},{4,5}}
[3,6,5,8,2,4,1,7]=>[7,6,5,8,3,2,1,4]=>{{1,7},{2,6},{3,5},{4,8}}=>{{1,8},{2,5},{3,6},{4,7}}=>{{1,7},{2,6},{3,5},{4,8}}
[6,2,4,5,8,3,1,7]=>[7,6,4,3,8,2,1,5]=>{{1,7},{2,6},{3,4},{5,8}}=>{{1,4},{2,8},{3,6},{5,7}}=>{{1,7},{2,6},{3,4},{5,8}}
[5,2,1,6,3,8,4,7]=>[7,3,2,5,4,8,1,6]=>{{1,7},{2,3},{4,5},{6,8}}=>{{1,3},{2,5},{4,8},{6,7}}=>{{1,7},{2,3},{4,5},{6,8}}
[6,5,4,3,8,2,1,7]=>[7,6,4,3,8,2,1,5]=>{{1,7},{2,6},{3,4},{5,8}}=>{{1,4},{2,8},{3,6},{5,7}}=>{{1,7},{2,6},{3,4},{5,8}}
[4,6,8,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,7,8,5,3,1,2,6]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[8,5,4,7,6,2,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,8,7,3,1,4,6,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,5,7,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,7,8,3,6,1,5,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,4,6,1,7,3,5,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[1,3,8,6,4,7,5,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[7,6,8,1,4,3,2,5]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[5,7,3,8,2,1,4,6]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[8,4,2,1,3,7,6,5]=>[8,5,4,3,2,7,6,1]=>{{1,8},{2,5},{3,4},{6,7}}=>{{1,4},{2,5},{3,7},{6,8}}=>{{1,8},{2,5},{3,4},{6,7}}
[8,4,3,7,6,2,1,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,3,2,8,1,6,5,4]=>[8,5,3,7,2,6,4,1]=>{{1,8},{2,5},{3},{4,7},{6}}=>{{1,7},{2,5},{3},{4,8},{6}}=>{{1,8},{2,5},{3},{4,7},{6}}
[3,8,7,2,6,5,4,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[4,2,7,8,6,1,5,3]=>[8,6,7,5,4,2,3,1]=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,8},{2,6},{3,7},{4,5}}
[5,8,4,2,7,1,6,3]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,5,3,1,7,2,6,4]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[1,4,6,8,2,7,5,3]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[8,2,1,7,6,5,4,3]=>[8,3,2,7,6,5,4,1]=>{{1,8},{2,3},{4,7},{5,6}}=>{{1,3},{2,6},{4,7},{5,8}}=>{{1,8},{2,3},{4,7},{5,6}}
[8,6,7,5,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,8,7,3,2,1,6,5]=>[6,8,7,5,4,1,3,2]=>{{1,6},{2,8},{3,7},{4,5}}=>{{1,5},{2,7},{3,8},{4,6}}=>{{1,6},{2,8},{3,7},{4,5}}
[6,5,3,7,2,1,4,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[5,8,3,6,2,1,4,7]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[4,8,3,6,2,1,7,5]=>[6,8,5,7,3,1,4,2]=>{{1,6},{2,8},{3,5},{4,7}}=>{{1,7},{2,5},{3,8},{4,6}}=>{{1,6},{2,8},{3,5},{4,7}}
[6,3,7,8,2,1,4,5]=>[8,6,7,5,4,2,3,1]=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,8},{2,6},{3,7},{4,5}}
[5,3,7,6,2,1,4,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[3,8,7,6,2,1,4,5]=>[6,8,7,5,4,1,3,2]=>{{1,6},{2,8},{3,7},{4,5}}=>{{1,5},{2,7},{3,8},{4,6}}=>{{1,6},{2,8},{3,7},{4,5}}
[4,8,7,2,5,1,3,6]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[6,4,2,7,5,1,3,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[6,2,7,8,5,1,3,4]=>[8,6,7,5,4,2,3,1]=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,8},{2,6},{3,7},{4,5}}
[2,8,7,6,5,1,3,4]=>[6,8,7,5,4,1,3,2]=>{{1,6},{2,8},{3,7},{4,5}}=>{{1,5},{2,7},{3,8},{4,6}}=>{{1,6},{2,8},{3,7},{4,5}}
[4,8,7,3,1,5,6,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,8,3,6,1,4,7,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,8,3,6,1,5,7,2]=>[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}}
[3,8,7,6,1,4,5,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,4,7,2,1,5,3,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[6,5,2,7,1,4,3,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[5,8,2,6,1,4,3,7]=>[7,8,5,6,3,4,1,2]=>{{1,7},{2,8},{3,5},{4,6}}=>{{1,6},{2,5},{3,8},{4,7}}=>{{1,7},{2,8},{3,5},{4,6}}
[6,4,2,7,1,5,3,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[2,8,7,6,1,4,3,5]=>[5,8,7,6,1,4,3,2]=>{{1,5},{2,8},{3,7},{4,6}}=>{{1,6},{2,7},{3,8},{4,5}}=>{{1,5},{2,8},{3,7},{4,6}}
[6,5,4,1,8,7,3,2]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}
[5,8,4,1,6,7,3,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[4,8,7,1,5,6,3,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[6,5,3,1,8,4,7,2]=>[8,6,4,3,7,2,5,1]=>{{1,8},{2,6},{3,4},{5,7}}=>{{1,4},{2,7},{3,6},{5,8}}=>{{1,8},{2,6},{3,4},{5,7}}
[5,8,3,1,6,4,7,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[6,4,3,1,5,8,7,2]=>[8,5,4,3,2,7,6,1]=>{{1,8},{2,5},{3,4},{6,7}}=>{{1,4},{2,5},{3,7},{6,8}}=>{{1,8},{2,5},{3,4},{6,7}}
[5,8,2,1,6,4,3,7]=>[7,8,4,3,6,5,1,2]=>{{1,7},{2,8},{3,4},{5,6}}=>{{1,4},{2,6},{3,8},{5,7}}=>{{1,7},{2,8},{3,4},{5,6}}
[6,4,2,1,5,8,3,7]=>[7,5,4,3,2,8,1,6]=>{{1,7},{2,5},{3,4},{6,8}}=>{{1,4},{2,5},{3,8},{6,7}}=>{{1,7},{2,5},{3,4},{6,8}}
[2,8,7,1,5,4,3,6]=>[4,8,7,1,6,5,3,2]=>{{1,4},{2,8},{3,7},{5,6}}=>{{1,6},{2,7},{3,4},{5,8}}=>{{1,4},{2,8},{3,7},{5,6}}
[2,8,1,6,5,4,3,7]=>[3,8,1,7,6,5,4,2]=>{{1,3},{2,8},{4,7},{5,6}}=>{{1,6},{2,3},{4,7},{5,8}}=>{{1,3},{2,8},{4,7},{5,6}}
[4,5,8,1,7,6,3,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,7,2,1,6,3,4,5]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}
[8,6,4,1,7,5,3,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,4,2,6,8,5,1,3]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,3,8,4,5,1,6,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,3,7,4,6,1,5,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,2,7,1,6,4,5,3]=>[8,4,7,2,6,5,3,1]=>{{1,8},{2,4},{3,7},{5,6}}=>{{1,6},{2,4},{3,7},{5,8}}=>{{1,8},{2,4},{3,7},{5,6}}
[8,2,7,5,6,1,4,3]=>[8,6,7,5,4,2,3,1]=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,8},{2,6},{3,7},{4,5}}
[3,6,8,1,7,5,4,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,2,6,7,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,7,2,3,1,5,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,7,8,6,3,1,5,4]=>[6,8,7,5,4,1,3,2]=>{{1,6},{2,8},{3,7},{4,5}}=>{{1,5},{2,7},{3,8},{4,6}}=>{{1,6},{2,8},{3,7},{4,5}}
[4,3,7,8,5,2,1,6]=>[7,6,8,5,4,2,1,3]=>{{1,7},{2,6},{3,8},{4,5}}=>{{1,5},{2,8},{3,6},{4,7}}=>{{1,7},{2,6},{3,8},{4,5}}
[5,8,3,7,6,2,1,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,2,6,3,8,5,1,7]=>[7,4,6,2,8,3,1,5]=>{{1,7},{2,4},{3,6},{5,8}}=>{{1,8},{2,4},{3,6},{5,7}}=>{{1,7},{2,4},{3,6},{5,8}}
[8,5,2,7,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,8,2,1,7,6,4,3]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}
[7,8,3,1,5,4,6,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,2,8,1,4,6,5,3]=>[8,4,7,2,6,5,3,1]=>{{1,8},{2,4},{3,7},{5,6}}=>{{1,6},{2,4},{3,7},{5,8}}=>{{1,8},{2,4},{3,7},{5,6}}
[8,2,6,1,4,7,3,5]=>[8,4,7,2,6,5,3,1]=>{{1,8},{2,4},{3,7},{5,6}}=>{{1,6},{2,4},{3,7},{5,8}}=>{{1,8},{2,4},{3,7},{5,6}}
[6,3,5,4,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>{{1,4},{2,5},{3,6},{7,8}}=>{{1,6},{2,5},{3,4},{7,8}}
[8,7,3,6,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[3,4,7,2,8,1,5,6]=>[6,4,8,2,7,1,5,3]=>{{1,6},{2,4},{3,8},{5,7}}=>{{1,7},{2,4},{3,8},{5,6}}=>{{1,6},{2,4},{3,8},{5,7}}
[3,8,4,7,1,6,5,2]=>[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}}
[6,8,5,4,3,7,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,5,4,3,1,8,7,2]=>[8,5,4,3,2,7,6,1]=>{{1,8},{2,5},{3,4},{6,7}}=>{{1,4},{2,5},{3,7},{6,8}}=>{{1,8},{2,5},{3,4},{6,7}}
[8,7,5,4,3,1,6,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[3,4,6,2,8,5,1,7]=>[7,4,6,2,8,3,1,5]=>{{1,7},{2,4},{3,6},{5,8}}=>{{1,8},{2,4},{3,6},{5,7}}=>{{1,7},{2,4},{3,6},{5,8}}
[3,4,6,8,1,5,2,7]=>[7,5,6,8,2,3,1,4]=>{{1,7},{2,5},{3,6},{4,8}}=>{{1,8},{2,6},{3,5},{4,7}}=>{{1,7},{2,5},{3,6},{4,8}}
[3,4,7,2,1,8,6,5]=>[5,4,8,2,1,7,6,3]=>{{1,5},{2,4},{3,8},{6,7}}=>{{1,7},{2,4},{3,5},{6,8}}=>{{1,5},{2,4},{3,8},{6,7}}
[3,4,7,2,8,5,6,1]=>[8,4,7,2,6,5,3,1]=>{{1,8},{2,4},{3,7},{5,6}}=>{{1,6},{2,4},{3,7},{5,8}}=>{{1,8},{2,4},{3,7},{5,6}}
[3,5,2,7,4,8,6,1]=>[8,5,3,7,2,6,4,1]=>{{1,8},{2,5},{3},{4,7},{6}}=>{{1,7},{2,5},{3},{4,8},{6}}=>{{1,8},{2,5},{3},{4,7},{6}}
[3,5,6,2,8,4,1,7]=>[7,6,4,3,8,2,1,5]=>{{1,7},{2,6},{3,4},{5,8}}=>{{1,4},{2,8},{3,6},{5,7}}=>{{1,7},{2,6},{3,4},{5,8}}
[3,5,6,8,4,1,2,7]=>[7,6,5,8,3,2,1,4]=>{{1,7},{2,6},{3,5},{4,8}}=>{{1,8},{2,5},{3,6},{4,7}}=>{{1,7},{2,6},{3,5},{4,8}}
[3,5,7,8,4,1,6,2]=>[8,6,7,5,4,2,3,1]=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,8},{2,6},{3,7},{4,5}}
[4,5,2,7,3,8,6,1]=>[8,5,3,7,2,6,4,1]=>{{1,8},{2,5},{3},{4,7},{6}}=>{{1,7},{2,5},{3},{4,8},{6}}=>{{1,8},{2,5},{3},{4,7},{6}}
[4,6,2,3,8,5,1,7]=>[7,6,4,3,8,2,1,5]=>{{1,7},{2,6},{3,4},{5,8}}=>{{1,4},{2,8},{3,6},{5,7}}=>{{1,7},{2,6},{3,4},{5,8}}
[4,6,2,8,3,5,1,7]=>[7,6,5,8,3,2,1,4]=>{{1,7},{2,6},{3,5},{4,8}}=>{{1,8},{2,5},{3,6},{4,7}}=>{{1,7},{2,6},{3,5},{4,8}}
[4,7,2,8,3,5,6,1]=>[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}}
[4,7,8,3,2,5,6,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,6,2,3,8,4,1,7]=>[7,6,4,3,8,2,1,5]=>{{1,7},{2,6},{3,4},{5,8}}=>{{1,4},{2,8},{3,6},{5,7}}=>{{1,7},{2,6},{3,4},{5,8}}
[5,6,2,7,8,4,1,3]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[5,6,8,3,4,2,1,7]=>[7,6,8,5,4,2,1,3]=>{{1,7},{2,6},{3,8},{4,5}}=>{{1,5},{2,8},{3,6},{4,7}}=>{{1,7},{2,6},{3,8},{4,5}}
[5,7,8,3,4,2,6,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,7,2,8,4,5,3,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,4,6,1,8,5,7,3]=>[4,8,6,1,7,3,5,2]=>{{1,4},{2,8},{3,6},{5,7}}=>{{1,7},{2,6},{3,4},{5,8}}=>{{1,4},{2,8},{3,6},{5,7}}
[3,5,8,6,1,2,4,7]=>[6,7,8,5,4,1,2,3]=>{{1,6},{2,7},{3,8},{4,5}}=>{{1,5},{2,8},{3,7},{4,6}}=>{{1,6},{2,7},{3,8},{4,5}}
[5,6,4,8,2,1,7,3]=>[8,6,5,7,3,2,4,1]=>{{1,8},{2,6},{3,5},{4,7}}=>{{1,7},{2,5},{3,6},{4,8}}=>{{1,8},{2,6},{3,5},{4,7}}
[2,5,7,8,6,3,1,4]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[5,8,7,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,8,6,5,7,3,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,8,5,6,7,3,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[3,8,7,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,8,7,6,3,4,5,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[1,8,7,6,5,2,3,4]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,8,6,4,1,3,7,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[3,4,1,2,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>{{1,4},{2,3},{5,8},{6,7}}=>{{1,3},{2,4},{5,7},{6,8}}=>{{1,4},{2,3},{5,8},{6,7}}
[6,8,3,5,4,1,7,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,2,5,8,3,6,1,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,2,3,1,7,8,5,6]=>[4,3,2,1,8,7,6,5]=>{{1,4},{2,3},{5,8},{6,7}}=>{{1,3},{2,4},{5,7},{6,8}}=>{{1,4},{2,3},{5,8},{6,7}}
[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,8,3,4,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,3,6,2,4,8,1,7]=>[7,5,4,3,2,8,1,6]=>{{1,7},{2,5},{3,4},{6,8}}=>{{1,4},{2,5},{3,8},{6,7}}=>{{1,7},{2,5},{3,4},{6,8}}
[2,6,5,8,1,3,4,7]=>[5,7,6,8,1,3,2,4]=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,5},{2,7},{3,6},{4,8}}
[4,3,1,6,5,8,2,7]=>[7,3,2,5,4,8,1,6]=>{{1,7},{2,3},{4,5},{6,8}}=>{{1,3},{2,5},{4,8},{6,7}}=>{{1,7},{2,3},{4,5},{6,8}}
[8,2,6,4,1,7,3,5]=>[8,5,7,6,2,4,3,1]=>{{1,8},{2,5},{3,7},{4,6}}=>{{1,6},{2,7},{3,5},{4,8}}=>{{1,8},{2,5},{3,7},{4,6}}
[5,4,6,8,1,2,7,3]=>[8,6,5,7,3,2,4,1]=>{{1,8},{2,6},{3,5},{4,7}}=>{{1,7},{2,5},{3,6},{4,8}}=>{{1,8},{2,6},{3,5},{4,7}}
[3,4,7,8,6,2,5,1]=>[8,6,7,5,4,2,3,1]=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,8},{2,6},{3,7},{4,5}}
[7,5,8,2,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,2,7,4,6,1,3,5]=>[8,6,7,5,4,2,3,1]=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,8},{2,6},{3,7},{4,5}}
[4,7,3,2,8,1,6,5]=>[6,8,4,3,7,1,5,2]=>{{1,6},{2,8},{3,4},{5,7}}=>{{1,4},{2,7},{3,8},{5,6}}=>{{1,6},{2,8},{3,4},{5,7}}
[2,8,6,1,5,7,3,4]=>[4,8,7,1,6,5,3,2]=>{{1,4},{2,8},{3,7},{5,6}}=>{{1,6},{2,7},{3,4},{5,8}}=>{{1,4},{2,8},{3,7},{5,6}}
[4,2,3,7,1,8,6,5]=>[5,3,2,8,1,7,6,4]=>{{1,5},{2,3},{4,8},{6,7}}=>{{1,3},{2,7},{4,5},{6,8}}=>{{1,5},{2,3},{4,8},{6,7}}
[8,2,1,6,7,3,4,5]=>[8,3,2,7,6,5,4,1]=>{{1,8},{2,3},{4,7},{5,6}}=>{{1,3},{2,6},{4,7},{5,8}}=>{{1,8},{2,3},{4,7},{5,6}}
[2,7,8,5,4,1,3,6]=>[6,8,7,5,4,1,3,2]=>{{1,6},{2,8},{3,7},{4,5}}=>{{1,5},{2,7},{3,8},{4,6}}=>{{1,6},{2,8},{3,7},{4,5}}
[1,7,5,3,8,4,2,6]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[5,6,7,3,8,4,2,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[2,8,4,7,1,3,5,6]=>[5,8,6,7,1,3,4,2]=>{{1,5},{2,8},{3,6},{4,7}}=>{{1,7},{2,6},{3,8},{4,5}}=>{{1,5},{2,8},{3,6},{4,7}}
[6,5,4,8,7,2,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[1,8,5,3,6,2,7,4]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[6,5,8,7,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[3,4,7,8,2,5,6,1]=>[8,5,7,6,2,4,3,1]=>{{1,8},{2,5},{3,7},{4,6}}=>{{1,6},{2,7},{3,5},{4,8}}=>{{1,8},{2,5},{3,7},{4,6}}
[2,1,4,6,8,5,7,3]=>[2,1,8,6,7,4,5,3]=>{{1,2},{3,8},{4,6},{5,7}}=>{{1,2},{3,7},{4,6},{5,8}}=>{{1,2},{3,8},{4,6},{5,7}}
[1,2,3,8,5,6,4,7]=>[1,2,3,8,7,6,5,4]=>{{1},{2},{3},{4,8},{5,7},{6}}=>{{1},{2},{3},{4,7},{5,8},{6}}=>{{1},{2},{3},{4,8},{5,7},{6}}
[1,2,3,8,6,5,4,7]=>[1,2,3,8,7,6,5,4]=>{{1},{2},{3},{4,8},{5,7},{6}}=>{{1},{2},{3},{4,7},{5,8},{6}}=>{{1},{2},{3},{4,8},{5,7},{6}}
[8,5,7,6,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,4,7,6,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,4,7,5,6,3,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,5,7,4,6,3,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,6,3,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,7,3,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,5,7,3,6,4,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,4,7,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,3,7,2,6,5,4,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,5,7,2,6,4,3,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,7,2,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,6,2,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,4,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,3,7,1,6,5,4,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,2,7,1,6,5,4,3]=>[8,4,7,2,6,5,3,1]=>{{1,8},{2,4},{3,7},{5,6}}=>{{1,6},{2,4},{3,7},{5,8}}=>{{1,8},{2,4},{3,7},{5,6}}
[8,3,7,1,6,4,5,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,4,7,1,6,3,5,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,5,7,1,6,3,4,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,6,7,1,5,3,4,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,7,6,2,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,7,2,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,5,7,2,6,3,4,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,4,7,2,6,3,5,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,3,7,2,6,4,5,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,2,7,3,6,4,5,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,2,7,4,6,3,5,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,3,7,4,6,2,5,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,5,7,3,6,2,4,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,7,3,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,5,7,4,6,2,3,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,4,7,5,6,2,3,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,3,7,5,6,2,4,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,2,7,5,6,3,4,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,3,7,6,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,4,7,6,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,5,7,6,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,6,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,5,7,6,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,3,7,6,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,3,7,5,6,1,4,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,4,7,5,6,1,3,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,6,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,7,3,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,4,7,3,6,1,5,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,2,7,4,6,1,5,3]=>[8,6,7,5,4,2,3,1]=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,8},{2,6},{3,7},{4,5}}
[8,4,7,2,6,1,5,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,5,7,2,6,1,4,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,7,2,5,1,4,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,6,2,5,1,4,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,6,1,5,2,4,3]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,6,7,1,5,2,4,3]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,5,7,1,6,2,4,3]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,4,7,1,6,2,5,3]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,2,7,1,6,3,5,4]=>[8,4,7,2,6,5,3,1]=>{{1,8},{2,4},{3,7},{5,6}}=>{{1,6},{2,4},{3,7},{5,8}}=>{{1,8},{2,4},{3,7},{5,6}}
[4,6,7,3,8,5,2,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[1,7,8,4,6,2,5,3]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[3,7,4,8,5,1,6,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,7,5,8,6,4,1,3]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[3,8,7,1,6,4,5,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[3,4,2,7,8,1,6,5]=>[6,3,2,8,7,1,5,4]=>{{1,6},{2,3},{4,8},{5,7}}=>{{1,3},{2,7},{4,8},{5,6}}=>{{1,6},{2,3},{4,8},{5,7}}
[3,4,6,1,5,8,2,7]=>[7,4,5,2,3,8,1,6]=>{{1,7},{2,4},{3,5},{6,8}}=>{{1,5},{2,4},{3,8},{6,7}}=>{{1,7},{2,4},{3,5},{6,8}}
[6,5,8,7,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,6,8,7,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,8,5,7,1,2,4,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,4,8,3,6,1,7,5]=>[6,4,8,2,7,1,5,3]=>{{1,6},{2,4},{3,8},{5,7}}=>{{1,7},{2,4},{3,8},{5,6}}=>{{1,6},{2,4},{3,8},{5,7}}
[8,2,4,3,7,5,6,1]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}
[6,8,2,1,5,7,3,4]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}
[7,2,8,4,1,6,3,5]=>[8,5,7,6,2,4,3,1]=>{{1,8},{2,5},{3,7},{4,6}}=>{{1,6},{2,7},{3,5},{4,8}}=>{{1,8},{2,5},{3,7},{4,6}}
[2,7,8,1,4,6,3,5]=>[4,8,7,1,6,5,3,2]=>{{1,4},{2,8},{3,7},{5,6}}=>{{1,6},{2,7},{3,4},{5,8}}=>{{1,4},{2,8},{3,7},{5,6}}
[4,8,2,5,7,1,6,3]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[5,2,6,4,8,3,1,7]=>[7,6,4,3,8,2,1,5]=>{{1,7},{2,6},{3,4},{5,8}}=>{{1,4},{2,8},{3,6},{5,7}}=>{{1,7},{2,6},{3,4},{5,8}}
[5,8,6,7,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,3,4,2,8,7,5,1]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}
[4,3,8,7,5,2,6,1]=>[8,6,7,5,4,2,3,1]=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,8},{2,6},{3,7},{4,5}}
[6,8,7,4,2,3,5,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,3,8,6,1,2,4,7]=>[7,6,8,5,4,2,1,3]=>{{1,7},{2,6},{3,8},{4,5}}=>{{1,5},{2,8},{3,6},{4,7}}=>{{1,7},{2,6},{3,8},{4,5}}
[2,4,8,7,3,5,6,1]=>[8,5,7,6,2,4,3,1]=>{{1,8},{2,5},{3,7},{4,6}}=>{{1,6},{2,7},{3,5},{4,8}}=>{{1,8},{2,5},{3,7},{4,6}}
[3,8,7,2,6,4,5,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[4,5,8,7,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,5,2,7,1,4,3,6]=>[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}}
[4,5,2,8,3,7,6,1]=>[8,5,3,7,2,6,4,1]=>{{1,8},{2,5},{3},{4,7},{6}}=>{{1,7},{2,5},{3},{4,8},{6}}=>{{1,8},{2,5},{3},{4,7},{6}}
[3,7,5,8,2,6,1,4]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[1,6,7,4,8,2,3,5]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[1,8,5,7,3,2,4,6]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[7,4,8,6,2,3,1,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,8,5,3,6,2,7,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,5,2,8,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,2,6,8,3,4,7,1]=>[8,6,5,7,3,2,4,1]=>{{1,8},{2,6},{3,5},{4,7}}=>{{1,7},{2,5},{3,6},{4,8}}=>{{1,8},{2,6},{3,5},{4,7}}
[6,2,7,5,8,3,1,4]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[2,1,5,6,8,3,7,4]=>[2,1,8,6,7,4,5,3]=>{{1,2},{3,8},{4,6},{5,7}}=>{{1,2},{3,7},{4,6},{5,8}}=>{{1,2},{3,8},{4,6},{5,7}}
[5,8,2,7,4,3,6,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,7,3,8,2,4,6,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,4,5,8,2,7,3,1]=>[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}}
[2,1,6,4,8,5,3,7]=>[2,1,7,6,8,4,3,5]=>{{1,2},{3,7},{4,6},{5,8}}=>{{1,2},{3,8},{4,6},{5,7}}=>{{1,2},{3,7},{4,6},{5,8}}
[1,6,3,8,7,4,2,5]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[4,3,8,1,2,6,7,5]=>[5,4,8,2,1,7,6,3]=>{{1,5},{2,4},{3,8},{6,7}}=>{{1,7},{2,4},{3,5},{6,8}}=>{{1,5},{2,4},{3,8},{6,7}}
[6,4,5,8,1,2,7,3]=>[8,6,5,7,3,2,4,1]=>{{1,8},{2,6},{3,5},{4,7}}=>{{1,7},{2,5},{3,6},{4,8}}=>{{1,8},{2,6},{3,5},{4,7}}
[3,8,5,7,1,4,2,6]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[3,6,5,2,1,8,7,4]=>[5,8,4,3,1,7,6,2]=>{{1,5},{2,8},{3,4},{6,7}}=>{{1,4},{2,7},{3,5},{6,8}}=>{{1,5},{2,8},{3,4},{6,7}}
[5,2,6,4,1,8,7,3]=>[8,5,4,3,2,7,6,1]=>{{1,8},{2,5},{3,4},{6,7}}=>{{1,4},{2,5},{3,7},{6,8}}=>{{1,8},{2,5},{3,4},{6,7}}
[1,5,7,4,8,6,3,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[8,2,4,3,6,1,5,7]=>[8,6,4,3,7,2,5,1]=>{{1,8},{2,6},{3,4},{5,7}}=>{{1,4},{2,7},{3,6},{5,8}}=>{{1,8},{2,6},{3,4},{5,7}}
[1,7,8,5,4,3,6,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[3,8,7,4,2,6,1,5]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[6,4,2,8,7,5,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,3,6,4,2,8,1,7]=>[7,5,4,3,2,8,1,6]=>{{1,7},{2,5},{3,4},{6,8}}=>{{1,4},{2,5},{3,8},{6,7}}=>{{1,7},{2,5},{3,4},{6,8}}
[8,2,6,4,7,3,1,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[1,7,8,4,3,5,6,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[2,5,7,1,8,3,6,4]=>[4,8,7,1,6,5,3,2]=>{{1,4},{2,8},{3,7},{5,6}}=>{{1,6},{2,7},{3,4},{5,8}}=>{{1,4},{2,8},{3,7},{5,6}}
[6,2,7,1,8,4,5,3]=>[8,4,7,2,6,5,3,1]=>{{1,8},{2,4},{3,7},{5,6}}=>{{1,6},{2,4},{3,7},{5,8}}=>{{1,8},{2,4},{3,7},{5,6}}
[4,2,7,1,8,3,6,5]=>[6,4,8,2,7,1,5,3]=>{{1,6},{2,4},{3,8},{5,7}}=>{{1,7},{2,4},{3,8},{5,6}}=>{{1,6},{2,4},{3,8},{5,7}}
[4,3,1,6,8,2,7,5]=>[6,3,2,8,7,1,5,4]=>{{1,6},{2,3},{4,8},{5,7}}=>{{1,3},{2,7},{4,8},{5,6}}=>{{1,6},{2,3},{4,8},{5,7}}
[6,8,2,4,7,5,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,3,8,2,6,4,1,5]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[3,8,7,4,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,7,6,3,5,4,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[3,8,7,4,6,2,5,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,8,3,7,6,2,4,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,2,5,4,3,1,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,8,3,2,5,4,7,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[5,8,7,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,8,6,4,3,7,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,5,8,4,3,1,7,2]=>[8,6,7,5,4,2,3,1]=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,8},{2,6},{3,7},{4,5}}
[2,5,6,8,4,3,7,1]=>[8,6,5,7,3,2,4,1]=>{{1,8},{2,6},{3,5},{4,7}}=>{{1,7},{2,5},{3,6},{4,8}}=>{{1,8},{2,6},{3,5},{4,7}}
[5,3,8,1,7,6,4,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[5,4,8,7,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,8,6,7,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,8,6,5,7,2,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,8,5,6,7,1,2,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,4,8,6,1,7,2,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,3,8,1,6,7,2,4]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[5,2,1,8,6,7,3,4]=>[8,3,2,7,6,5,4,1]=>{{1,8},{2,3},{4,7},{5,6}}=>{{1,3},{2,6},{4,7},{5,8}}=>{{1,8},{2,3},{4,7},{5,6}}
[6,2,1,5,8,3,7,4]=>[8,3,2,6,7,4,5,1]=>{{1,8},{2,3},{4,6},{5,7}}=>{{1,3},{2,7},{4,6},{5,8}}=>{{1,8},{2,3},{4,6},{5,7}}
[6,5,4,8,2,1,7,3]=>[8,6,5,7,3,2,4,1]=>{{1,8},{2,6},{3,5},{4,7}}=>{{1,7},{2,5},{3,6},{4,8}}=>{{1,8},{2,6},{3,5},{4,7}}
[5,8,4,7,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,8,3,2,7,6,4,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[5,8,3,2,6,7,1,4]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[6,5,3,2,8,1,7,4]=>[8,6,4,3,7,2,5,1]=>{{1,8},{2,6},{3,4},{5,7}}=>{{1,4},{2,7},{3,6},{5,8}}=>{{1,8},{2,6},{3,4},{5,7}}
[6,4,3,2,1,8,7,5]=>[8,5,4,3,2,7,6,1]=>{{1,8},{2,5},{3,4},{6,7}}=>{{1,4},{2,5},{3,7},{6,8}}=>{{1,8},{2,5},{3,4},{6,7}}
[6,3,4,1,2,8,7,5]=>[8,5,4,3,2,7,6,1]=>{{1,8},{2,5},{3,4},{6,7}}=>{{1,4},{2,5},{3,7},{6,8}}=>{{1,8},{2,5},{3,4},{6,7}}
[6,2,1,4,3,8,7,5]=>[8,3,2,5,4,7,6,1]=>{{1,8},{2,3},{4,5},{6,7}}=>{{1,3},{2,5},{4,7},{6,8}}=>{{1,8},{2,3},{4,5},{6,7}}
[3,4,7,5,6,1,2,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[3,4,6,5,8,1,7,2]=>[8,6,4,3,7,2,5,1]=>{{1,8},{2,6},{3,4},{5,7}}=>{{1,4},{2,7},{3,6},{5,8}}=>{{1,8},{2,6},{3,4},{5,7}}
[3,1,4,2,8,5,7,6]=>[4,2,3,1,8,6,7,5]=>{{1,4},{2},{3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,8},{6},{7}}
[4,1,3,2,7,5,8,6]=>[4,2,3,1,8,6,7,5]=>{{1,4},{2},{3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,8},{6},{7}}
[4,3,1,2,7,8,6,5]=>[4,3,2,1,8,7,6,5]=>{{1,4},{2,3},{5,8},{6,7}}=>{{1,3},{2,4},{5,7},{6,8}}=>{{1,4},{2,3},{5,8},{6,7}}
[3,4,2,1,8,7,5,6]=>[4,3,2,1,8,7,6,5]=>{{1,4},{2,3},{5,8},{6,7}}=>{{1,3},{2,4},{5,7},{6,8}}=>{{1,4},{2,3},{5,8},{6,7}}
[7,6,5,8,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,6,8,3,2,1,5,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,4,3,2,1,6,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,6,3,8,2,1,5,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,6,5,8,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,4,8,3,2,1,6,5]=>[8,6,7,5,4,2,3,1]=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,8},{2,6},{3,7},{4,5}}
[7,6,8,5,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,8,6,1,7,5,2,3]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[4,8,7,2,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,7,8,2,6,1,5,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,6,8,2,7,1,3,5]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[8,6,4,2,7,5,3,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,4,7,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,4,7,1,8,3,2,5]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,4,8,3,6,1,5,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,4,3,6,2,5,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,8,4,3,7,2,1,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,7,4,2,8,3,1,5]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[2,8,7,6,5,1,4,3]=>[6,8,7,5,4,1,3,2]=>{{1,6},{2,8},{3,7},{4,5}}=>{{1,5},{2,7},{3,8},{4,6}}=>{{1,6},{2,8},{3,7},{4,5}}
[7,3,5,4,2,1,6,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[1,8,4,6,5,3,2,7]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[3,1,2,8,6,5,4,7]=>[3,2,1,8,7,6,5,4]=>{{1,3},{2},{4,8},{5,7},{6}}=>{{1,3},{2},{4,7},{5,8},{6}}=>{{1,3},{2},{4,8},{5,7},{6}}
[5,4,8,6,1,2,3,7]=>[7,6,8,5,4,2,1,3]=>{{1,7},{2,6},{3,8},{4,5}}=>{{1,5},{2,8},{3,6},{4,7}}=>{{1,7},{2,6},{3,8},{4,5}}
[5,6,8,2,4,1,3,7]=>[7,6,8,5,4,2,1,3]=>{{1,7},{2,6},{3,8},{4,5}}=>{{1,5},{2,8},{3,6},{4,7}}=>{{1,7},{2,6},{3,8},{4,5}}
[5,6,8,7,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,4,8,5,3,1,7,2]=>[8,6,7,5,4,2,3,1]=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,8},{2,6},{3,7},{4,5}}
[5,7,8,6,1,3,2,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,4,8,1,6,3,7,5]=>[4,6,8,1,7,2,5,3]=>{{1,4},{2,6},{3,8},{5,7}}=>{{1,7},{2,8},{3,4},{5,6}}=>{{1,4},{2,6},{3,8},{5,7}}
[3,4,7,8,1,2,6,5]=>[6,5,8,7,2,1,4,3]=>{{1,6},{2,5},{3,8},{4,7}}=>{{1,7},{2,8},{3,5},{4,6}}=>{{1,6},{2,5},{3,8},{4,7}}
[3,6,7,8,1,4,5,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,3,5,8,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,5,2,8,4,1,6,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,3,4,8,2,5,7,1]=>[8,6,5,7,3,2,4,1]=>{{1,8},{2,6},{3,5},{4,7}}=>{{1,7},{2,5},{3,6},{4,8}}=>{{1,8},{2,6},{3,5},{4,7}}
[7,5,4,8,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,7,8,3,1,4,6,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,4,8,3,2,5,1,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,3,8,2,4,5,6,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[4,8,3,6,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,6,8,2,1,5,7,3]=>[8,6,7,5,4,2,3,1]=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,8},{2,6},{3,7},{4,5}}
[8,2,4,1,7,5,6,3]=>[8,4,7,2,6,5,3,1]=>{{1,8},{2,4},{3,7},{5,6}}=>{{1,6},{2,4},{3,7},{5,8}}=>{{1,8},{2,4},{3,7},{5,6}}
[3,8,4,7,5,1,6,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,4,3,6,1,7,5,2]=>[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}}
[2,1,8,6,7,3,5,4]=>[2,1,8,7,6,5,4,3]=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,2},{3,8},{4,7},{5,6}}
[5,8,6,3,1,7,4,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,6,2,7,1,3,4,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[6,2,1,7,8,5,3,4]=>[8,3,2,7,6,5,4,1]=>{{1,8},{2,3},{4,7},{5,6}}=>{{1,3},{2,6},{4,7},{5,8}}=>{{1,8},{2,3},{4,7},{5,6}}
[6,7,3,8,4,1,5,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,7,1,8,5,6,3,4]=>[3,8,1,7,6,5,4,2]=>{{1,3},{2,8},{4,7},{5,6}}=>{{1,6},{2,3},{4,7},{5,8}}=>{{1,3},{2,8},{4,7},{5,6}}
[2,1,7,8,6,3,4,5]=>[2,1,8,7,6,5,4,3]=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,2},{3,8},{4,7},{5,6}}
[7,8,6,2,1,3,5,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,2,6,3,4,1,8,7]=>[6,5,4,3,2,1,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>{{1,4},{2,5},{3,6},{7,8}}=>{{1,6},{2,5},{3,4},{7,8}}
[2,6,5,3,1,4,8,7]=>[5,6,4,3,1,2,8,7]=>{{1,5},{2,6},{3,4},{7,8}}=>{{1,4},{2,6},{3,5},{7,8}}=>{{1,5},{2,6},{3,4},{7,8}}
[8,2,6,4,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,1,7,4,8,5,6,3]=>[2,1,8,7,6,5,4,3]=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,2},{3,8},{4,7},{5,6}}
[2,5,1,8,7,4,6,3]=>[3,8,1,7,6,5,4,2]=>{{1,3},{2,8},{4,7},{5,6}}=>{{1,6},{2,3},{4,7},{5,8}}=>{{1,3},{2,8},{4,7},{5,6}}
[7,4,2,1,8,6,5,3]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}
[3,4,2,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>{{1,4},{2,3},{5,8},{6,7}}=>{{1,3},{2,4},{5,7},{6,8}}=>{{1,4},{2,3},{5,8},{6,7}}
[2,7,6,8,1,5,3,4]=>[5,8,7,6,1,4,3,2]=>{{1,5},{2,8},{3,7},{4,6}}=>{{1,6},{2,7},{3,8},{4,5}}=>{{1,5},{2,8},{3,7},{4,6}}
[6,3,8,5,7,4,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,4,6,8,5,1,2,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,1,4,8,7,5,3,6]=>[2,1,7,8,6,5,3,4]=>{{1,2},{3,7},{4,8},{5,6}}=>{{1,2},{3,6},{4,8},{5,7}}=>{{1,2},{3,7},{4,8},{5,6}}
[6,2,8,1,7,5,4,3]=>[8,4,7,2,6,5,3,1]=>{{1,8},{2,4},{3,7},{5,6}}=>{{1,6},{2,4},{3,7},{5,8}}=>{{1,8},{2,4},{3,7},{5,6}}
[7,8,5,6,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,8,7,3,6,1,4,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,8,3,7,6,1,4,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,5,8,4,6,1,3,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,5,8,4,7,1,3,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,4,8,1,3,7,6,5]=>[4,5,8,1,2,7,6,3]=>{{1,4},{2,5},{3,8},{6,7}}=>{{1,7},{2,5},{3,4},{6,8}}=>{{1,4},{2,5},{3,8},{6,7}}
[8,3,2,6,1,4,7,5]=>[8,5,3,7,2,6,4,1]=>{{1,8},{2,5},{3},{4,7},{6}}=>{{1,7},{2,5},{3},{4,8},{6}}=>{{1,8},{2,5},{3},{4,7},{6}}
[2,8,1,7,6,5,4,3]=>[3,8,1,7,6,5,4,2]=>{{1,3},{2,8},{4,7},{5,6}}=>{{1,6},{2,3},{4,7},{5,8}}=>{{1,3},{2,8},{4,7},{5,6}}
[8,3,2,7,1,6,5,4]=>[8,5,3,7,2,6,4,1]=>{{1,8},{2,5},{3},{4,7},{6}}=>{{1,7},{2,5},{3},{4,8},{6}}=>{{1,8},{2,5},{3},{4,7},{6}}
[7,4,2,8,1,6,5,3]=>[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}}
[8,7,5,3,2,1,6,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,5,2,6,3,1,4,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[7,4,5,8,6,2,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,8,4,5,2,1,7,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,6,8,5,1,7,3,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,5,2,1,6,3,7,4]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}
[4,5,6,1,8,7,2,3]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}
[3,5,6,8,7,1,4,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,4,2,6,3,1,5,7]=>[8,6,5,7,3,2,4,1]=>{{1,8},{2,6},{3,5},{4,7}}=>{{1,7},{2,5},{3,6},{4,8}}=>{{1,8},{2,6},{3,5},{4,7}}
[3,4,8,7,1,2,6,5]=>[6,5,8,7,2,1,4,3]=>{{1,6},{2,5},{3,8},{4,7}}=>{{1,7},{2,8},{3,5},{4,6}}=>{{1,6},{2,5},{3,8},{4,7}}
[3,4,6,8,5,7,1,2]=>[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}}
[4,6,8,3,5,7,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,7,3,5,8,2,6,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[5,6,8,3,7,2,1,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,6,8,4,2,7,3,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,8,5,7,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,5,8,4,6,3,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,6,3,7,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[7,4,2,6,3,5,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[3,4,7,5,6,2,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[3,6,8,4,1,7,5,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,2,3,6,1,4,5]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[6,7,4,8,5,1,2,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,4,6,5,1,7,2,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,8,4,7,2,1,3,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[3,8,7,5,6,1,2,4]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[8,2,7,6,5,1,3,4]=>[8,6,7,5,4,2,3,1]=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,8},{2,6},{3,7},{4,5}}
[4,8,6,7,1,5,3,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[1,8,6,7,2,3,4,5]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[8,6,3,1,4,5,7,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[6,8,5,3,7,1,2,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,8,2,4,5,1,3,7]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[6,8,3,4,1,5,2,7]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[5,8,4,1,7,2,6,3]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[6,8,3,1,4,5,7,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[2,4,6,3,5,8,1,7]=>[7,4,5,2,3,8,1,6]=>{{1,7},{2,4},{3,5},{6,8}}=>{{1,5},{2,4},{3,8},{6,7}}=>{{1,7},{2,4},{3,5},{6,8}}
[3,4,1,6,5,8,2,7]=>[7,3,2,5,4,8,1,6]=>{{1,7},{2,3},{4,5},{6,8}}=>{{1,3},{2,5},{4,8},{6,7}}=>{{1,7},{2,3},{4,5},{6,8}}
[6,4,2,8,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,2,8,4,1,7,5,3]=>[8,5,7,6,2,4,3,1]=>{{1,8},{2,5},{3,7},{4,6}}=>{{1,6},{2,7},{3,5},{4,8}}=>{{1,8},{2,5},{3,7},{4,6}}
[3,6,4,7,2,5,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[4,3,8,7,1,2,5,6]=>[6,5,8,7,2,1,4,3]=>{{1,6},{2,5},{3,8},{4,7}}=>{{1,7},{2,8},{3,5},{4,6}}=>{{1,6},{2,5},{3,8},{4,7}}
[2,4,6,1,8,3,7,5]=>[4,6,8,1,7,2,5,3]=>{{1,4},{2,6},{3,8},{5,7}}=>{{1,7},{2,8},{3,4},{5,6}}=>{{1,4},{2,6},{3,8},{5,7}}
[4,8,7,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,3,8,7,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,3,8,7,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,8,7,6,1,5,4,3]=>[5,8,7,6,1,4,3,2]=>{{1,5},{2,8},{3,7},{4,6}}=>{{1,6},{2,7},{3,8},{4,5}}=>{{1,5},{2,8},{3,7},{4,6}}
[5,2,8,7,6,1,4,3]=>[8,6,7,5,4,2,3,1]=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,8},{2,6},{3,7},{4,5}}
[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,8},{2,6},{3,7},{4,5}}
[7,8,2,6,5,1,4,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,2,6,1,5,4,3]=>[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}}
[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>{{1,8},{2,4},{3,7},{5,6}}=>{{1,6},{2,4},{3,7},{5,8}}=>{{1,8},{2,4},{3,7},{5,6}}
[2,8,7,1,6,5,4,3]=>[4,8,7,1,6,5,3,2]=>{{1,4},{2,8},{3,7},{5,6}}=>{{1,6},{2,7},{3,4},{5,8}}=>{{1,4},{2,8},{3,7},{5,6}}
[4,8,2,7,6,1,5,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,8,7,2,6,1,5,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,8,7,6,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,5,8,7,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[3,8,7,1,6,5,4,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[6,4,8,1,7,5,3,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,8,4,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,8,3,1,6,5,4,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[4,3,1,8,7,6,5,2]=>[8,3,2,7,6,5,4,1]=>{{1,8},{2,3},{4,7},{5,6}}=>{{1,3},{2,6},{4,7},{5,8}}=>{{1,8},{2,3},{4,7},{5,6}}
[4,2,1,8,7,6,5,3]=>[8,3,2,7,6,5,4,1]=>{{1,8},{2,3},{4,7},{5,6}}=>{{1,3},{2,6},{4,7},{5,8}}=>{{1,8},{2,3},{4,7},{5,6}}
[7,8,2,1,6,5,4,3]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}
[6,5,3,1,8,7,4,2]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}
[7,5,2,1,8,6,4,3]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}
[4,6,2,3,8,1,5,7]=>[6,7,4,3,8,1,2,5]=>{{1,6},{2,7},{3,4},{5,8}}=>{{1,4},{2,8},{3,7},{5,6}}=>{{1,6},{2,7},{3,4},{5,8}}
[8,4,2,3,6,1,5,7]=>[8,6,4,3,7,2,5,1]=>{{1,8},{2,6},{3,4},{5,7}}=>{{1,4},{2,7},{3,6},{5,8}}=>{{1,8},{2,6},{3,4},{5,7}}
[6,4,2,3,8,1,5,7]=>[7,6,4,3,8,2,1,5]=>{{1,7},{2,6},{3,4},{5,8}}=>{{1,4},{2,8},{3,6},{5,7}}=>{{1,7},{2,6},{3,4},{5,8}}
[2,8,4,3,6,1,5,7]=>[6,8,4,3,7,1,5,2]=>{{1,6},{2,8},{3,4},{5,7}}=>{{1,4},{2,7},{3,8},{5,6}}=>{{1,6},{2,8},{3,4},{5,7}}
[6,3,8,4,2,1,5,7]=>[7,6,8,5,4,2,1,3]=>{{1,7},{2,6},{3,8},{4,5}}=>{{1,5},{2,8},{3,6},{4,7}}=>{{1,7},{2,6},{3,8},{4,5}}
[2,4,8,3,6,1,5,7]=>[6,4,8,2,7,1,5,3]=>{{1,6},{2,4},{3,8},{5,7}}=>{{1,7},{2,4},{3,8},{5,6}}=>{{1,6},{2,4},{3,8},{5,7}}
[2,4,6,3,8,1,5,7]=>[6,4,7,2,8,1,3,5]=>{{1,6},{2,4},{3,7},{5,8}}=>{{1,8},{2,4},{3,7},{5,6}}=>{{1,6},{2,4},{3,7},{5,8}}
[6,2,4,3,8,1,5,7]=>[7,6,4,3,8,2,1,5]=>{{1,7},{2,6},{3,4},{5,8}}=>{{1,4},{2,8},{3,6},{5,7}}=>{{1,7},{2,6},{3,4},{5,8}}
[3,6,4,7,8,5,1,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[3,4,6,8,7,5,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,4,6,3,8,7,1,2]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}
[6,4,8,5,3,7,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[3,6,5,2,4,1,8,7]=>[6,5,4,3,2,1,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>{{1,4},{2,5},{3,6},{7,8}}=>{{1,6},{2,5},{3,4},{7,8}}
[5,2,8,6,4,1,3,7]=>[7,6,8,5,4,2,1,3]=>{{1,7},{2,6},{3,8},{4,5}}=>{{1,5},{2,8},{3,6},{4,7}}=>{{1,7},{2,6},{3,8},{4,5}}
[7,8,3,2,4,1,6,5]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,8,4,2,6,3,1,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,2,6,3,8,7,1,5]=>[7,4,8,2,6,5,1,3]=>{{1,7},{2,4},{3,8},{5,6}}=>{{1,6},{2,4},{3,8},{5,7}}=>{{1,7},{2,4},{3,8},{5,6}}
[5,8,2,7,4,3,1,6]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[7,5,2,8,3,4,1,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,3,6,8,1,2,7,5]=>[6,5,8,7,2,1,4,3]=>{{1,6},{2,5},{3,8},{4,7}}=>{{1,7},{2,8},{3,5},{4,6}}=>{{1,6},{2,5},{3,8},{4,7}}
[6,4,3,5,2,8,1,7]=>[7,5,4,3,2,8,1,6]=>{{1,7},{2,5},{3,4},{6,8}}=>{{1,4},{2,5},{3,8},{6,7}}=>{{1,7},{2,5},{3,4},{6,8}}
[6,5,8,4,2,3,1,7]=>[7,6,8,5,4,2,1,3]=>{{1,7},{2,6},{3,8},{4,5}}=>{{1,5},{2,8},{3,6},{4,7}}=>{{1,7},{2,6},{3,8},{4,5}}
[1,8,6,4,3,5,7,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[8,6,4,1,3,5,7,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,5,7,4,3,2,1,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,6,5,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,4,3,6,2,1,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,3,6,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,5,8,4,3,2,1,7]=>[7,6,8,5,4,2,1,3]=>{{1,7},{2,6},{3,8},{4,5}}=>{{1,5},{2,8},{3,6},{4,7}}=>{{1,7},{2,6},{3,8},{4,5}}
[8,4,7,6,3,2,1,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,8,7,4,3,2,1,6]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[4,8,2,6,3,5,7,1]=>[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}}
[4,3,7,8,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,2,1,5,6,4,3]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}
[1,5,8,6,2,3,7,4]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[5,2,7,1,8,6,3,4]=>[8,4,7,2,6,5,3,1]=>{{1,8},{2,4},{3,7},{5,6}}=>{{1,6},{2,4},{3,7},{5,8}}=>{{1,8},{2,4},{3,7},{5,6}}
[6,5,2,8,1,7,3,4]=>[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}}
[2,8,5,6,1,7,3,4]=>[5,8,7,6,1,4,3,2]=>{{1,5},{2,8},{3,7},{4,6}}=>{{1,6},{2,7},{3,8},{4,5}}=>{{1,5},{2,8},{3,7},{4,6}}
[8,5,4,3,7,2,6,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,3,7,4,2,6,5,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[3,8,7,4,1,6,5,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,8,6,4,1,7,5,3]=>[5,8,7,6,1,4,3,2]=>{{1,5},{2,8},{3,7},{4,6}}=>{{1,6},{2,7},{3,8},{4,5}}=>{{1,5},{2,8},{3,7},{4,6}}
[8,4,7,6,2,5,3,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,8,7,6,1,5,3,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,3,8,5,2,1,6,4]=>[8,6,7,5,4,2,3,1]=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,8},{2,6},{3,7},{4,5}}
[7,3,8,4,2,1,6,5]=>[8,6,7,5,4,2,3,1]=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,8},{2,6},{3,7},{4,5}}
[7,5,4,3,8,2,1,6]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[3,7,8,4,1,2,6,5]=>[6,8,7,5,4,1,3,2]=>{{1,6},{2,8},{3,7},{4,5}}=>{{1,5},{2,7},{3,8},{4,6}}=>{{1,6},{2,8},{3,7},{4,5}}
[8,7,4,6,3,5,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,3,4,8,2,1,5,6]=>[8,6,5,7,3,2,4,1]=>{{1,8},{2,6},{3,5},{4,7}}=>{{1,7},{2,5},{3,6},{4,8}}=>{{1,8},{2,6},{3,5},{4,7}}
[7,5,8,6,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,5,8,7,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,4,3,8,1,6,5,7]=>[5,3,2,8,1,7,6,4]=>{{1,5},{2,3},{4,8},{6,7}}=>{{1,3},{2,7},{4,5},{6,8}}=>{{1,5},{2,3},{4,8},{6,7}}
[8,3,4,7,2,5,6,1]=>[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}}
[3,4,8,7,1,5,6,2]=>[8,5,7,6,2,4,3,1]=>{{1,8},{2,5},{3,7},{4,6}}=>{{1,6},{2,7},{3,5},{4,8}}=>{{1,8},{2,5},{3,7},{4,6}}
[3,7,4,8,1,5,2,6]=>[7,8,5,6,3,4,1,2]=>{{1,7},{2,8},{3,5},{4,6}}=>{{1,6},{2,5},{3,8},{4,7}}=>{{1,7},{2,8},{3,5},{4,6}}
[8,4,6,7,2,3,5,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,6,8,5,1,3,7,4]=>[5,8,7,6,1,4,3,2]=>{{1,5},{2,8},{3,7},{4,6}}=>{{1,6},{2,7},{3,8},{4,5}}=>{{1,5},{2,8},{3,7},{4,6}}
[2,6,8,4,1,3,7,5]=>[5,8,7,6,1,4,3,2]=>{{1,5},{2,8},{3,7},{4,6}}=>{{1,6},{2,7},{3,8},{4,5}}=>{{1,5},{2,8},{3,7},{4,6}}
[3,7,5,8,1,4,2,6]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[2,6,5,8,1,4,3,7]=>[5,7,6,8,1,3,2,4]=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,5},{2,7},{3,6},{4,8}}
[4,7,6,8,1,3,2,5]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[5,6,8,7,1,3,4,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,4,1,6,2,5,3]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[6,8,4,1,7,2,5,3]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[3,8,5,4,6,7,2,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[6,8,3,4,5,7,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,8,3,1,4,7,2,5]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[6,4,7,2,8,5,1,3]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,7,4,2,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,3,2,4,6,5,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[6,8,4,3,7,5,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,4,7,3,8,5,2,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[3,6,4,1,2,8,7,5]=>[5,8,4,3,1,7,6,2]=>{{1,5},{2,8},{3,4},{6,7}}=>{{1,4},{2,7},{3,5},{6,8}}=>{{1,5},{2,8},{3,4},{6,7}}
[3,6,5,1,8,2,7,4]=>[6,8,4,3,7,1,5,2]=>{{1,6},{2,8},{3,4},{5,7}}=>{{1,4},{2,7},{3,8},{5,6}}=>{{1,6},{2,8},{3,4},{5,7}}
[4,6,5,1,8,7,2,3]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}
[6,3,7,2,8,4,5,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,7,6,1,4,5,2,3]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,7,6,1,3,2,5,4]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,7,3,5,1,2,6,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,4,5,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,5,6,4,1,7,2,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,4,6,2,3,1,7,5]=>[8,6,7,5,4,2,3,1]=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,8},{2,6},{3,7},{4,5}}
[6,7,8,4,1,5,3,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[1,8,4,6,7,5,3,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[4,8,5,1,6,7,3,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,2,5,6,1,4,7,3]=>[8,5,7,6,2,4,3,1]=>{{1,8},{2,5},{3,7},{4,6}}=>{{1,6},{2,7},{3,5},{4,8}}=>{{1,8},{2,5},{3,7},{4,6}}
[1,8,4,6,2,5,3,7]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[8,5,6,1,2,4,3,7]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,2,4,3,6,7,1,5]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}
[8,3,2,7,1,5,6,4]=>[8,5,3,7,2,6,4,1]=>{{1,8},{2,5},{3},{4,7},{6}}=>{{1,7},{2,5},{3},{4,8},{6}}=>{{1,8},{2,5},{3},{4,7},{6}}
[6,2,1,8,4,7,5,3]=>[8,3,2,7,6,5,4,1]=>{{1,8},{2,3},{4,7},{5,6}}=>{{1,3},{2,6},{4,7},{5,8}}=>{{1,8},{2,3},{4,7},{5,6}}
[2,8,7,1,4,6,5,3]=>[4,8,7,1,6,5,3,2]=>{{1,4},{2,8},{3,7},{5,6}}=>{{1,6},{2,7},{3,4},{5,8}}=>{{1,4},{2,8},{3,7},{5,6}}
[8,2,7,1,5,4,6,3]=>[8,4,7,2,6,5,3,1]=>{{1,8},{2,4},{3,7},{5,6}}=>{{1,6},{2,4},{3,7},{5,8}}=>{{1,8},{2,4},{3,7},{5,6}}
[7,2,8,1,6,4,5,3]=>[8,4,7,2,6,5,3,1]=>{{1,8},{2,4},{3,7},{5,6}}=>{{1,6},{2,4},{3,7},{5,8}}=>{{1,8},{2,4},{3,7},{5,6}}
[7,8,2,6,4,1,5,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,2,4,1,6,5,3]=>[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}}
[7,2,1,5,8,3,4,6]=>[8,3,2,7,6,5,4,1]=>{{1,8},{2,3},{4,7},{5,6}}=>{{1,3},{2,6},{4,7},{5,8}}=>{{1,8},{2,3},{4,7},{5,6}}
[8,6,2,5,3,1,7,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,6,2,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[4,7,5,2,6,3,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[5,6,7,2,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[7,8,2,4,3,1,6,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,2,5,8,1,4,7,3]=>[8,5,6,7,2,3,4,1]=>{{1,8},{2,5},{3,6},{4,7}}=>{{1,7},{2,6},{3,5},{4,8}}=>{{1,8},{2,5},{3,6},{4,7}}
[2,8,7,1,6,4,5,3]=>[4,8,7,1,6,5,3,2]=>{{1,4},{2,8},{3,7},{5,6}}=>{{1,6},{2,7},{3,4},{5,8}}=>{{1,4},{2,8},{3,7},{5,6}}
[3,8,7,1,5,6,4,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[4,8,7,5,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,8,6,7,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,7,8,5,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,6,3,8,4,1,7,2]=>[8,6,5,7,3,2,4,1]=>{{1,8},{2,6},{3,5},{4,7}}=>{{1,7},{2,5},{3,6},{4,8}}=>{{1,8},{2,6},{3,5},{4,7}}
[7,3,8,5,4,1,6,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,3,7,4,1,6,5,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[3,5,6,8,4,1,7,2]=>[8,6,5,7,3,2,4,1]=>{{1,8},{2,6},{3,5},{4,7}}=>{{1,7},{2,5},{3,6},{4,8}}=>{{1,8},{2,6},{3,5},{4,7}}
[5,6,4,7,8,1,3,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[1,8,6,3,7,2,4,5]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[1,8,5,4,7,2,6,3]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[7,4,3,8,2,5,6,1]=>[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}}
[7,2,8,4,3,5,6,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,2,5,4,8,3,7,1]=>[8,6,4,3,7,2,5,1]=>{{1,8},{2,6},{3,4},{5,7}}=>{{1,4},{2,7},{3,6},{5,8}}=>{{1,8},{2,6},{3,4},{5,7}}
[6,4,5,3,8,2,1,7]=>[7,6,4,3,8,2,1,5]=>{{1,7},{2,6},{3,4},{5,8}}=>{{1,4},{2,8},{3,6},{5,7}}=>{{1,7},{2,6},{3,4},{5,8}}
[6,5,3,4,8,7,1,2]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}
[7,5,4,8,6,1,3,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,6,3,8,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,3,8,1,7,5,2,4]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[6,5,8,3,1,7,4,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,2,4,8,5,1,3,7]=>[7,6,5,8,3,2,1,4]=>{{1,7},{2,6},{3,5},{4,8}}=>{{1,8},{2,5},{3,6},{4,7}}=>{{1,7},{2,6},{3,5},{4,8}}
[7,6,3,8,5,1,2,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,2,8,6,1,3,4,5]=>[8,5,7,6,2,4,3,1]=>{{1,8},{2,5},{3,7},{4,6}}=>{{1,6},{2,7},{3,5},{4,8}}=>{{1,8},{2,5},{3,7},{4,6}}
[7,2,8,6,1,5,3,4]=>[8,5,7,6,2,4,3,1]=>{{1,8},{2,5},{3,7},{4,6}}=>{{1,6},{2,7},{3,5},{4,8}}=>{{1,8},{2,5},{3,7},{4,6}}
[4,5,2,7,1,8,6,3]=>[8,5,3,7,2,6,4,1]=>{{1,8},{2,5},{3},{4,7},{6}}=>{{1,7},{2,5},{3},{4,8},{6}}=>{{1,8},{2,5},{3},{4,7},{6}}
[4,2,3,6,8,1,5,7]=>[6,3,2,7,8,1,4,5]=>{{1,6},{2,3},{4,7},{5,8}}=>{{1,3},{2,8},{4,7},{5,6}}=>{{1,6},{2,3},{4,7},{5,8}}
[2,6,1,5,4,8,3,7]=>[3,7,1,5,4,8,2,6]=>{{1,3},{2,7},{4,5},{6,8}}=>{{1,5},{2,3},{4,8},{6,7}}=>{{1,3},{2,7},{4,5},{6,8}}
[3,2,1,8,7,5,6,4]=>[3,2,1,8,7,6,5,4]=>{{1,3},{2},{4,8},{5,7},{6}}=>{{1,3},{2},{4,7},{5,8},{6}}=>{{1,3},{2},{4,8},{5,7},{6}}
[6,2,4,5,8,1,3,7]=>[7,6,4,3,8,2,1,5]=>{{1,7},{2,6},{3,4},{5,8}}=>{{1,4},{2,8},{3,6},{5,7}}=>{{1,7},{2,6},{3,4},{5,8}}
[2,6,1,5,8,3,4,7]=>[3,7,1,6,8,4,2,5]=>{{1,3},{2,7},{4,6},{5,8}}=>{{1,8},{2,3},{4,6},{5,7}}=>{{1,3},{2,7},{4,6},{5,8}}
[6,2,7,8,4,5,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[3,4,8,2,7,5,1,6]=>[7,4,8,2,6,5,1,3]=>{{1,7},{2,4},{3,8},{5,6}}=>{{1,6},{2,4},{3,8},{5,7}}=>{{1,7},{2,4},{3,8},{5,6}}
[3,8,4,7,2,5,6,1]=>[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}}
[5,3,4,7,1,8,6,2]=>[8,5,3,7,2,6,4,1]=>{{1,8},{2,5},{3},{4,7},{6}}=>{{1,7},{2,5},{3},{4,8},{6}}=>{{1,8},{2,5},{3},{4,7},{6}}
[4,7,6,5,8,2,1,3]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[2,8,1,5,6,3,7,4]=>[3,8,1,7,6,5,4,2]=>{{1,3},{2,8},{4,7},{5,6}}=>{{1,6},{2,3},{4,7},{5,8}}=>{{1,3},{2,8},{4,7},{5,6}}
[4,8,2,3,6,7,1,5]=>[7,8,4,3,6,5,1,2]=>{{1,7},{2,8},{3,4},{5,6}}=>{{1,4},{2,6},{3,8},{5,7}}=>{{1,7},{2,8},{3,4},{5,6}}
[8,2,4,6,7,1,3,5]=>[8,6,7,5,4,2,3,1]=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,8},{2,6},{3,7},{4,5}}
[3,7,5,1,8,4,6,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[6,5,3,1,8,4,2,7]=>[7,6,4,3,8,2,1,5]=>{{1,7},{2,6},{3,4},{5,8}}=>{{1,4},{2,8},{3,6},{5,7}}=>{{1,7},{2,6},{3,4},{5,8}}
[5,7,4,3,8,6,2,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[3,6,4,2,8,5,7,1]=>[8,6,4,3,7,2,5,1]=>{{1,8},{2,6},{3,4},{5,7}}=>{{1,4},{2,7},{3,6},{5,8}}=>{{1,8},{2,6},{3,4},{5,7}}
[2,4,8,7,1,3,5,6]=>[5,6,8,7,1,2,4,3]=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}
[8,6,2,5,4,1,3,7]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,3,5,7,6,2,1,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,7,5,3,8,2,4,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,2,6,3,4,5,1,7]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,6,4,2,1,5,3,7]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,5,7,8,4,1,3,6]=>[6,7,8,5,4,1,2,3]=>{{1,6},{2,7},{3,8},{4,5}}=>{{1,5},{2,8},{3,7},{4,6}}=>{{1,6},{2,7},{3,8},{4,5}}
[6,3,5,8,7,2,4,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,2,8,7,1,3,4,6]=>[7,5,8,6,2,4,1,3]=>{{1,7},{2,5},{3,8},{4,6}}=>{{1,6},{2,8},{3,5},{4,7}}=>{{1,7},{2,5},{3,8},{4,6}}
[8,3,7,4,2,5,6,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[1,7,8,3,5,4,6,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[4,6,3,5,8,1,7,2]=>[8,6,4,3,7,2,5,1]=>{{1,8},{2,6},{3,4},{5,7}}=>{{1,4},{2,7},{3,6},{5,8}}=>{{1,8},{2,6},{3,4},{5,7}}
[4,6,2,5,3,8,7,1]=>[8,5,4,3,2,7,6,1]=>{{1,8},{2,5},{3,4},{6,7}}=>{{1,4},{2,5},{3,7},{6,8}}=>{{1,8},{2,5},{3,4},{6,7}}
[8,6,4,2,3,1,7,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,4,2,1,3,7,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,2,7,1,8,5,3,6]=>[7,4,8,2,6,5,1,3]=>{{1,7},{2,4},{3,8},{5,6}}=>{{1,6},{2,4},{3,8},{5,7}}=>{{1,7},{2,4},{3,8},{5,6}}
[8,3,6,7,1,5,4,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[1,3,7,5,8,6,4,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[2,7,4,5,8,3,6,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[5,3,6,8,2,1,4,7]=>[7,6,5,8,3,2,1,4]=>{{1,7},{2,6},{3,5},{4,8}}=>{{1,8},{2,5},{3,6},{4,7}}=>{{1,7},{2,6},{3,5},{4,8}}
[7,3,8,2,5,4,1,6]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,4,2,5,8,3,1,6]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[3,1,2,8,5,6,4,7]=>[3,2,1,8,7,6,5,4]=>{{1,3},{2},{4,8},{5,7},{6}}=>{{1,3},{2},{4,7},{5,8},{6}}=>{{1,3},{2},{4,8},{5,7},{6}}
[5,2,1,6,8,3,4,7]=>[7,3,2,6,8,4,1,5]=>{{1,7},{2,3},{4,6},{5,8}}=>{{1,3},{2,8},{4,6},{5,7}}=>{{1,7},{2,3},{4,6},{5,8}}
[6,4,8,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,4,1,5,3,2,6]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,3,8,5,1,4,2,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,7,8,3,1,6,5,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,5,3,6,4,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,5,2,3,6,7,4,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[4,8,2,6,3,7,5,1]=>[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}}
[7,2,4,1,8,3,5,6]=>[8,4,6,2,7,3,5,1]=>{{1,8},{2,4},{3,6},{5,7}}=>{{1,7},{2,4},{3,6},{5,8}}=>{{1,8},{2,4},{3,6},{5,7}}
[4,8,7,6,3,2,1,5]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[7,3,8,2,6,5,1,4]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,8,2,4,6,1,5,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,2,8,1,7,6,3,4]=>[8,4,7,2,6,5,3,1]=>{{1,8},{2,4},{3,7},{5,6}}=>{{1,6},{2,4},{3,7},{5,8}}=>{{1,8},{2,4},{3,7},{5,6}}
[6,7,8,1,2,5,4,3]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[5,8,7,1,6,4,3,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[6,8,7,5,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,4,3,2,1,7,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,5,4,3,8,2,7,1]=>[8,6,4,3,7,2,5,1]=>{{1,8},{2,6},{3,4},{5,7}}=>{{1,4},{2,7},{3,6},{5,8}}=>{{1,8},{2,6},{3,4},{5,7}}
[8,5,4,3,7,2,1,6]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,4,3,2,1,7,6,5]=>[8,5,4,3,2,7,6,1]=>{{1,8},{2,5},{3,4},{6,7}}=>{{1,4},{2,5},{3,7},{6,8}}=>{{1,8},{2,5},{3,4},{6,7}}
[3,7,5,8,1,4,6,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,7,5,8,3,2,1,6]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[8,6,4,2,3,7,5,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,5,8,7,3,1,2,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,6,7,8,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,6,7,4,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[6,5,7,8,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,5,8,6,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[3,4,2,6,8,7,1,5]=>[7,3,2,8,6,5,1,4]=>{{1,7},{2,3},{4,8},{5,6}}=>{{1,3},{2,6},{4,8},{5,7}}=>{{1,7},{2,3},{4,8},{5,6}}
[7,3,8,4,1,2,6,5]=>[8,6,7,5,4,2,3,1]=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,8},{2,6},{3,7},{4,5}}
[6,8,3,2,7,1,5,4]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[4,8,5,6,3,2,1,7]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[2,8,5,6,3,7,1,4]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[7,5,6,8,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,8,6,7,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,4,3,7,5,1,6,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,8,3,6,5,2,1,7]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[1,8,6,5,4,2,3,7]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[3,6,8,5,1,2,4,7]=>[6,7,8,5,4,1,2,3]=>{{1,6},{2,7},{3,8},{4,5}}=>{{1,5},{2,8},{3,7},{4,6}}=>{{1,6},{2,7},{3,8},{4,5}}
[6,7,2,8,5,3,1,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,7,2,8,3,1,5,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,7,5,2,8,1,4,3]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,4,6,1,8,2,3,5]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,4,8,2,3,6,5,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,5,8,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,7,8,3,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,5,8,3,2,4,1,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,8,2,6,3,1,4,7]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[3,6,5,1,8,4,7,2]=>[8,6,4,3,7,2,5,1]=>{{1,8},{2,6},{3,4},{5,7}}=>{{1,4},{2,7},{3,6},{5,8}}=>{{1,8},{2,6},{3,4},{5,7}}
[8,2,7,5,4,1,3,6]=>[8,6,7,5,4,2,3,1]=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,8},{2,6},{3,7},{4,5}}
[6,8,5,2,3,4,1,7]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[2,6,8,7,1,5,3,4]=>[5,8,7,6,1,4,3,2]=>{{1,5},{2,8},{3,7},{4,6}}=>{{1,6},{2,7},{3,8},{4,5}}=>{{1,5},{2,8},{3,7},{4,6}}
[6,2,7,3,8,4,1,5]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,3,5,2,4,1,6,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[8,3,6,2,5,4,1,7]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[6,4,7,8,2,3,1,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,4,8,5,3,2,1,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[3,8,4,7,5,1,2,6]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[4,8,3,7,1,5,2,6]=>[7,8,5,6,3,4,1,2]=>{{1,7},{2,8},{3,5},{4,6}}=>{{1,6},{2,5},{3,8},{4,7}}=>{{1,7},{2,8},{3,5},{4,6}}
[5,7,4,8,2,1,3,6]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[4,6,8,2,5,1,3,7]=>[7,6,8,5,4,2,1,3]=>{{1,7},{2,6},{3,8},{4,5}}=>{{1,5},{2,8},{3,6},{4,7}}=>{{1,7},{2,6},{3,8},{4,5}}
[6,4,2,8,3,1,5,7]=>[7,6,5,8,3,2,1,4]=>{{1,7},{2,6},{3,5},{4,8}}=>{{1,8},{2,5},{3,6},{4,7}}=>{{1,7},{2,6},{3,5},{4,8}}
[6,4,7,5,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,6,4,2,1,7,5,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,6,4,1,8,5,2,3]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[1,6,4,8,7,5,3,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[7,4,8,1,6,3,5,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[1,4,8,7,2,6,5,3]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[5,8,4,1,7,6,2,3]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[1,8,7,6,4,5,3,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[7,4,3,8,5,2,1,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,5,2,8,4,3,1,7]=>[7,6,5,8,3,2,1,4]=>{{1,7},{2,6},{3,5},{4,8}}=>{{1,8},{2,5},{3,6},{4,7}}=>{{1,7},{2,6},{3,5},{4,8}}
[4,3,8,7,5,1,6,2]=>[8,6,7,5,4,2,3,1]=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,8},{2,6},{3,7},{4,5}}
[8,4,3,7,5,2,6,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,3,7,8,5,1,2,6]=>[7,6,8,5,4,2,1,3]=>{{1,7},{2,6},{3,8},{4,5}}=>{{1,5},{2,8},{3,6},{4,7}}=>{{1,7},{2,6},{3,8},{4,5}}
[4,2,6,8,5,1,3,7]=>[7,6,5,8,3,2,1,4]=>{{1,7},{2,6},{3,5},{4,8}}=>{{1,8},{2,5},{3,6},{4,7}}=>{{1,7},{2,6},{3,5},{4,8}}
[5,2,6,8,4,1,3,7]=>[7,6,5,8,3,2,1,4]=>{{1,7},{2,6},{3,5},{4,8}}=>{{1,8},{2,5},{3,6},{4,7}}=>{{1,7},{2,6},{3,5},{4,8}}
[5,3,7,8,4,1,2,6]=>[7,6,8,5,4,2,1,3]=>{{1,7},{2,6},{3,8},{4,5}}=>{{1,5},{2,8},{3,6},{4,7}}=>{{1,7},{2,6},{3,8},{4,5}}
[5,6,2,8,3,4,1,7]=>[7,6,5,8,3,2,1,4]=>{{1,7},{2,6},{3,5},{4,8}}=>{{1,8},{2,5},{3,6},{4,7}}=>{{1,7},{2,6},{3,5},{4,8}}
[5,3,8,7,4,1,6,2]=>[8,6,7,5,4,2,3,1]=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,8},{2,6},{3,7},{4,5}}
[6,4,2,8,5,3,1,7]=>[7,6,5,8,3,2,1,4]=>{{1,7},{2,6},{3,5},{4,8}}=>{{1,8},{2,5},{3,6},{4,7}}=>{{1,7},{2,6},{3,5},{4,8}}
[8,7,5,3,6,2,4,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,4,3,6,2,5,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,5,3,7,2,4,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,6,4,3,8,2,5,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[6,4,5,3,8,2,7,1]=>[8,6,4,3,7,2,5,1]=>{{1,8},{2,6},{3,4},{5,7}}=>{{1,4},{2,7},{3,6},{5,8}}=>{{1,8},{2,6},{3,4},{5,7}}
[7,4,5,3,8,2,6,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,4,6,3,8,2,5,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,5,6,3,8,2,4,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,5,6,3,7,2,4,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,4,6,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,4,6,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,4,7,3,5,2,6,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,5,7,3,4,2,6,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,5,8,4,3,2,6,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,5,8,3,4,2,7,1]=>[8,6,7,5,4,2,3,1]=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,8},{2,6},{3,7},{4,5}}
[7,5,8,3,4,2,6,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,6,8,3,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,5,8,4,6,2,3,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,5,8,3,6,2,4,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,4,8,3,6,2,5,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,4,8,3,5,2,6,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,4,8,3,5,2,7,1]=>[8,6,7,5,4,2,3,1]=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,8},{2,6},{3,7},{4,5}}
[6,5,8,3,7,2,4,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,5,8,4,7,2,3,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,5,8,4,7,3,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,5,7,3,8,2,4,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[6,4,7,3,8,2,5,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[5,4,6,3,8,2,7,1]=>[8,6,4,3,7,2,5,1]=>{{1,8},{2,6},{3,4},{5,7}}=>{{1,4},{2,7},{3,6},{5,8}}=>{{1,8},{2,6},{3,4},{5,7}}
[6,5,3,7,8,2,1,4]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[6,5,4,2,8,7,1,3]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}
[6,4,3,7,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[6,3,7,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,3,7,2,5,4,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[4,8,2,6,3,7,1,5]=>[7,8,5,6,3,4,1,2]=>{{1,7},{2,8},{3,5},{4,6}}=>{{1,6},{2,5},{3,8},{4,7}}=>{{1,7},{2,8},{3,5},{4,6}}
[4,8,3,2,7,6,1,5]=>[7,8,4,3,6,5,1,2]=>{{1,7},{2,8},{3,4},{5,6}}=>{{1,4},{2,6},{3,8},{5,7}}=>{{1,7},{2,8},{3,4},{5,6}}
[4,8,6,7,2,3,1,5]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[4,8,7,3,6,2,1,5]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[4,3,8,2,7,1,6,5]=>[6,4,8,2,7,1,5,3]=>{{1,6},{2,4},{3,8},{5,7}}=>{{1,7},{2,4},{3,8},{5,6}}=>{{1,6},{2,4},{3,8},{5,7}}
[3,7,6,8,4,2,1,5]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[2,6,8,7,4,3,1,5]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[3,7,8,6,2,4,1,5]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[4,2,3,8,1,6,7,5]=>[5,3,2,8,1,7,6,4]=>{{1,5},{2,3},{4,8},{6,7}}=>{{1,3},{2,7},{4,5},{6,8}}=>{{1,5},{2,3},{4,8},{6,7}}
[4,2,8,3,6,1,7,5]=>[6,4,8,2,7,1,5,3]=>{{1,6},{2,4},{3,8},{5,7}}=>{{1,7},{2,4},{3,8},{5,6}}=>{{1,6},{2,4},{3,8},{5,7}}
[4,2,8,6,3,1,7,5]=>[6,5,8,7,2,1,4,3]=>{{1,6},{2,5},{3,8},{4,7}}=>{{1,7},{2,8},{3,5},{4,6}}=>{{1,6},{2,5},{3,8},{4,7}}
[2,6,8,4,7,3,1,5]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[2,4,6,8,3,1,7,5]=>[6,5,8,7,2,1,4,3]=>{{1,6},{2,5},{3,8},{4,7}}=>{{1,7},{2,8},{3,5},{4,6}}=>{{1,6},{2,5},{3,8},{4,7}}
[2,4,6,3,8,1,7,5]=>[6,4,8,2,7,1,5,3]=>{{1,6},{2,4},{3,8},{5,7}}=>{{1,7},{2,4},{3,8},{5,6}}=>{{1,6},{2,4},{3,8},{5,7}}
[2,6,4,3,8,7,1,5]=>[7,8,4,3,6,5,1,2]=>{{1,7},{2,8},{3,4},{5,6}}=>{{1,4},{2,6},{3,8},{5,7}}=>{{1,7},{2,8},{3,4},{5,6}}
[2,4,3,6,1,8,7,5]=>[5,3,2,8,1,7,6,4]=>{{1,5},{2,3},{4,8},{6,7}}=>{{1,3},{2,7},{4,5},{6,8}}=>{{1,5},{2,3},{4,8},{6,7}}
[1,6,8,5,7,3,4,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[6,8,5,2,4,1,7,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,7,6,8,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,4,2,1,3,8,7,5]=>[8,5,4,3,2,7,6,1]=>{{1,8},{2,5},{3,4},{6,7}}=>{{1,4},{2,5},{3,7},{6,8}}=>{{1,8},{2,5},{3,4},{6,7}}
[4,3,2,8,1,6,5,7]=>[5,3,2,8,1,7,6,4]=>{{1,5},{2,3},{4,8},{6,7}}=>{{1,3},{2,7},{4,5},{6,8}}=>{{1,5},{2,3},{4,8},{6,7}}
[3,8,6,4,2,1,5,7]=>[6,8,7,5,4,1,3,2]=>{{1,6},{2,8},{3,7},{4,5}}=>{{1,5},{2,7},{3,8},{4,6}}=>{{1,6},{2,8},{3,7},{4,5}}
[2,7,8,4,6,3,1,5]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[7,8,2,5,3,6,1,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,8,4,6,1,7,2,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,4,2,5,6,7,1,3]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[1,5,8,7,2,6,4,3]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[2,5,8,7,3,6,1,4]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[4,2,8,7,3,6,1,5]=>[7,5,8,6,2,4,1,3]=>{{1,7},{2,5},{3,8},{4,6}}=>{{1,6},{2,8},{3,5},{4,7}}=>{{1,7},{2,5},{3,8},{4,6}}
[4,5,8,7,1,2,6,3]=>[8,6,7,5,4,2,3,1]=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,8},{2,6},{3,7},{4,5}}
[1,5,8,7,3,2,6,4]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[4,5,8,7,3,2,1,6]=>[7,6,8,5,4,2,1,3]=>{{1,7},{2,6},{3,8},{4,5}}=>{{1,5},{2,8},{3,6},{4,7}}=>{{1,7},{2,6},{3,8},{4,5}}
[2,6,8,1,7,5,4,3]=>[4,8,7,1,6,5,3,2]=>{{1,4},{2,8},{3,7},{5,6}}=>{{1,6},{2,7},{3,4},{5,8}}=>{{1,4},{2,8},{3,7},{5,6}}
[1,6,8,4,7,2,5,3]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[1,6,8,3,7,2,5,4]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[2,5,8,1,7,6,4,3]=>[4,8,7,1,6,5,3,2]=>{{1,4},{2,8},{3,7},{5,6}}=>{{1,6},{2,7},{3,4},{5,8}}=>{{1,4},{2,8},{3,7},{5,6}}
[1,5,8,4,7,2,6,3]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[1,5,8,3,7,2,6,4]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[5,6,8,1,2,7,4,3]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[1,6,8,4,2,7,5,3]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[5,6,8,4,3,2,1,7]=>[7,6,8,5,4,2,1,3]=>{{1,7},{2,6},{3,8},{4,5}}=>{{1,5},{2,8},{3,6},{4,7}}=>{{1,7},{2,6},{3,8},{4,5}}
[7,3,4,8,6,2,1,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,2,4,8,3,6,1,5]=>[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}}
[7,4,5,8,1,2,6,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[1,6,4,8,7,2,5,3]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[1,6,5,8,2,7,4,3]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[2,6,5,8,3,7,1,4]=>[7,8,5,6,3,4,1,2]=>{{1,7},{2,8},{3,5},{4,6}}=>{{1,6},{2,5},{3,8},{4,7}}=>{{1,7},{2,8},{3,5},{4,6}}
[1,6,4,8,2,7,5,3]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[4,6,5,8,3,2,1,7]=>[7,6,5,8,3,2,1,4]=>{{1,7},{2,6},{3,5},{4,8}}=>{{1,8},{2,5},{3,6},{4,7}}=>{{1,7},{2,6},{3,5},{4,8}}
[7,6,2,3,8,5,1,4]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,6,3,4,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,2,5,3,8,6,1,4]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,2,1,4,8,6,5,3]=>[8,3,2,7,6,5,4,1]=>{{1,8},{2,3},{4,7},{5,6}}=>{{1,3},{2,6},{4,7},{5,8}}=>{{1,8},{2,3},{4,7},{5,6}}
[2,6,5,3,8,7,1,4]=>[7,8,4,3,6,5,1,2]=>{{1,7},{2,8},{3,4},{5,6}}=>{{1,4},{2,6},{3,8},{5,7}}=>{{1,7},{2,8},{3,4},{5,6}}
[2,6,1,4,8,7,5,3]=>[3,8,1,7,6,5,4,2]=>{{1,3},{2,8},{4,7},{5,6}}=>{{1,6},{2,3},{4,7},{5,8}}=>{{1,3},{2,8},{4,7},{5,6}}
[2,6,5,4,3,8,1,7]=>[7,5,4,3,2,8,1,6]=>{{1,7},{2,5},{3,4},{6,8}}=>{{1,4},{2,5},{3,8},{6,7}}=>{{1,7},{2,5},{3,4},{6,8}}
[8,2,7,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,2,8,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,8,7,6,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,6,1,5,4,3,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[4,8,5,7,6,3,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,7,2,8,1,3,4,6]=>[7,8,5,6,3,4,1,2]=>{{1,7},{2,8},{3,5},{4,6}}=>{{1,6},{2,5},{3,8},{4,7}}=>{{1,7},{2,8},{3,5},{4,6}}
[8,4,5,2,6,1,3,7]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[5,6,3,7,8,1,2,4]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[5,6,7,2,8,1,3,4]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[6,7,3,8,1,2,4,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,7,3,2,8,1,4,5]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[5,7,8,3,6,4,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[3,7,8,5,6,4,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[3,7,8,5,6,1,4,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[1,7,8,5,6,3,4,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[1,7,5,8,6,3,4,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[3,7,5,8,6,1,4,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[3,7,5,8,6,4,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,7,3,8,6,4,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,3,8,5,6,4,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,3,5,8,6,4,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[3,5,7,8,6,4,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[1,5,7,8,6,3,4,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[1,5,7,8,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[5,3,7,8,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,3,7,8,6,1,4,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,3,5,8,6,1,4,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,3,8,5,6,1,4,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,3,5,6,1,4,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[1,3,7,8,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[7,8,3,5,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,3,8,5,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,3,5,8,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,3,5,1,8,6,4,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[5,3,7,1,8,6,4,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[3,5,7,1,8,6,4,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[1,5,7,3,8,6,4,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[1,7,5,3,8,6,4,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[3,7,5,1,8,6,4,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[5,7,3,1,8,6,4,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[5,7,3,8,6,1,4,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[3,7,5,8,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[1,7,5,8,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[1,7,8,5,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[3,7,8,5,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,7,8,3,6,1,4,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,7,8,6,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,5,8,6,1,3,4,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,7,8,1,6,3,4,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[5,7,8,1,3,6,4,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[1,7,8,3,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[1,7,3,8,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[7,5,8,1,6,3,4,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,8,5,1,6,3,4,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,8,5,1,3,6,4,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,5,8,1,3,6,4,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[1,7,3,5,8,6,4,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[1,5,3,7,8,6,4,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[4,3,1,2,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>{{1,4},{2,3},{5,6},{7,8}}=>{{1,3},{2,4},{5,6},{7,8}}=>{{1,4},{2,3},{5,6},{7,8}}
[4,6,3,5,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>{{1,4},{2,5},{3,6},{7,8}}=>{{1,6},{2,5},{3,4},{7,8}}
[6,2,4,5,1,3,8,7]=>[6,5,4,3,2,1,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>{{1,4},{2,5},{3,6},{7,8}}=>{{1,6},{2,5},{3,4},{7,8}}
[2,1,6,5,3,4,8,7]=>[2,1,6,5,4,3,8,7]=>{{1,2},{3,6},{4,5},{7,8}}=>{{1,2},{3,5},{4,6},{7,8}}=>{{1,2},{3,6},{4,5},{7,8}}
[3,5,6,2,4,1,8,7]=>[6,5,4,3,2,1,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>{{1,4},{2,5},{3,6},{7,8}}=>{{1,6},{2,5},{3,4},{7,8}}
[8,7,6,1,3,2,4,5]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[2,1,6,8,5,7,3,4]=>[2,1,8,7,6,5,4,3]=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,2},{3,8},{4,7},{5,6}}
[2,1,8,4,6,7,3,5]=>[2,1,8,7,6,5,4,3]=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,2},{3,8},{4,7},{5,6}}
[5,8,4,3,7,1,6,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[6,8,4,2,1,3,7,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,3,8,2,7,6,1,5]=>[7,4,8,2,6,5,1,3]=>{{1,7},{2,4},{3,8},{5,6}}=>{{1,6},{2,4},{3,8},{5,7}}=>{{1,7},{2,4},{3,8},{5,6}}
[8,4,7,1,5,2,3,6]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,3,5,8,4,2,1,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,4,8,1,7,3,2,5]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[4,2,3,1,8,7,5,6]=>[4,3,2,1,8,7,6,5]=>{{1,4},{2,3},{5,8},{6,7}}=>{{1,3},{2,4},{5,7},{6,8}}=>{{1,4},{2,3},{5,8},{6,7}}
[2,1,4,3,8,7,5,6]=>[2,1,4,3,8,7,6,5]=>{{1,2},{3,4},{5,8},{6,7}}=>{{1,2},{3,4},{5,7},{6,8}}=>{{1,2},{3,4},{5,8},{6,7}}
[4,3,1,2,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>{{1,4},{2,3},{5,8},{6,7}}=>{{1,3},{2,4},{5,7},{6,8}}=>{{1,4},{2,3},{5,8},{6,7}}
[8,7,2,6,4,1,5,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,1,5,7,8,4,6,3]=>[2,1,8,7,6,5,4,3]=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,2},{3,8},{4,7},{5,6}}
[7,4,8,1,2,5,6,3]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[6,8,3,4,2,1,7,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,7,5,6,8,3,1,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[6,5,3,8,4,7,1,2]=>[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}}
[8,6,4,7,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,3,8,5,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[3,4,8,5,6,7,1,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[4,7,3,8,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,8,4,7,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,7,2,6,4,1,3,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[4,7,3,8,2,1,5,6]=>[6,8,5,7,3,1,4,2]=>{{1,6},{2,8},{3,5},{4,7}}=>{{1,7},{2,5},{3,8},{4,6}}=>{{1,6},{2,8},{3,5},{4,7}}
[7,4,8,3,2,1,5,6]=>[8,6,7,5,4,2,3,1]=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,8},{2,6},{3,7},{4,5}}
[7,6,8,5,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,8,4,1,3,7,5,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[6,3,7,1,8,4,5,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[5,8,3,1,7,4,6,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[2,3,1,8,7,4,5,6]=>[3,2,1,8,7,6,5,4]=>{{1,3},{2},{4,8},{5,7},{6}}=>{{1,3},{2},{4,7},{5,8},{6}}=>{{1,3},{2},{4,8},{5,7},{6}}
[2,6,1,4,8,7,3,5]=>[3,8,1,7,6,5,4,2]=>{{1,3},{2,8},{4,7},{5,6}}=>{{1,6},{2,3},{4,7},{5,8}}=>{{1,3},{2,8},{4,7},{5,6}}
[5,8,2,1,7,6,3,4]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}
[1,2,3,8,6,4,5,7]=>[1,2,3,8,7,6,5,4]=>{{1},{2},{3},{4,8},{5,7},{6}}=>{{1},{2},{3},{4,7},{5,8},{6}}=>{{1},{2},{3},{4,8},{5,7},{6}}
[8,3,5,7,4,2,6,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,3,6,2,4,5,7,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,4,6,2,1,3,7,5]=>[8,6,7,5,4,2,3,1]=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,8},{2,6},{3,7},{4,5}}
[5,4,8,7,3,1,2,6]=>[7,6,8,5,4,2,1,3]=>{{1,7},{2,6},{3,8},{4,5}}=>{{1,5},{2,8},{3,6},{4,7}}=>{{1,7},{2,6},{3,8},{4,5}}
[6,4,3,8,1,5,2,7]=>[7,6,5,8,3,2,1,4]=>{{1,7},{2,6},{3,5},{4,8}}=>{{1,8},{2,5},{3,6},{4,7}}=>{{1,7},{2,6},{3,5},{4,8}}
[6,8,3,7,2,5,4,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,3,6,8,7,2,4,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,7,4,2,8,3,6,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[5,7,8,2,6,4,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,6,8,4,5,7,1,3]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[3,6,8,5,7,1,4,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[1,7,4,8,6,2,3,5]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[2,7,4,8,5,6,1,3]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[6,3,7,2,8,5,1,4]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[2,7,1,4,3,8,5,6]=>[3,8,1,5,4,7,6,2]=>{{1,3},{2,8},{4,5},{6,7}}=>{{1,5},{2,3},{4,7},{6,8}}=>{{1,3},{2,8},{4,5},{6,7}}
[5,6,3,2,1,8,7,4]=>[8,5,4,3,2,7,6,1]=>{{1,8},{2,5},{3,4},{6,7}}=>{{1,4},{2,5},{3,7},{6,8}}=>{{1,8},{2,5},{3,4},{6,7}}
[5,3,6,2,8,1,7,4]=>[8,6,4,3,7,2,5,1]=>{{1,8},{2,6},{3,4},{5,7}}=>{{1,4},{2,7},{3,6},{5,8}}=>{{1,8},{2,6},{3,4},{5,7}}
[6,4,2,8,5,1,7,3]=>[8,6,5,7,3,2,4,1]=>{{1,8},{2,6},{3,5},{4,7}}=>{{1,7},{2,5},{3,6},{4,8}}=>{{1,8},{2,6},{3,5},{4,7}}
[1,8,4,7,2,5,3,6]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[3,4,7,8,2,1,6,5]=>[6,5,8,7,2,1,4,3]=>{{1,6},{2,5},{3,8},{4,7}}=>{{1,7},{2,8},{3,5},{4,6}}=>{{1,6},{2,5},{3,8},{4,7}}
[4,6,3,5,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>{{1,4},{2,5},{3,6},{7,8}}=>{{1,6},{2,5},{3,4},{7,8}}
[5,2,6,1,3,4,8,7]=>[6,4,5,2,3,1,8,7]=>{{1,6},{2,4},{3,5},{7,8}}=>{{1,5},{2,4},{3,6},{7,8}}=>{{1,6},{2,4},{3,5},{7,8}}
[7,3,8,1,5,4,6,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,2,8,6,5,1,3,4]=>[8,6,7,5,4,2,3,1]=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,8},{2,6},{3,7},{4,5}}
[6,2,7,8,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,8,2,6,5,7,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[3,8,7,6,2,4,1,5]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[3,5,8,7,2,4,6,1]=>[8,6,7,5,4,2,3,1]=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,8},{2,6},{3,7},{4,5}}
[6,3,7,1,5,4,2,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[8,7,3,6,1,5,4,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,7,8,3,2,1,4,6]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[4,7,8,3,5,2,1,6]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[8,3,7,6,4,2,1,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[1,7,5,3,8,2,6,4]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[8,6,3,2,7,5,1,4]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,7,4,2,6,1,5,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,2,6,1,8,7,4,3]=>[8,4,7,2,6,5,3,1]=>{{1,8},{2,4},{3,7},{5,6}}=>{{1,6},{2,4},{3,7},{5,8}}=>{{1,8},{2,4},{3,7},{5,6}}
[8,4,2,7,6,3,1,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,4,7,3,1,6,5,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[1,8,6,7,3,4,2,5]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[7,8,2,5,1,6,3,4]=>[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}}
[1,8,5,6,2,7,3,4]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[2,5,1,8,6,7,3,4]=>[3,8,1,7,6,5,4,2]=>{{1,3},{2,8},{4,7},{5,6}}=>{{1,6},{2,3},{4,7},{5,8}}=>{{1,3},{2,8},{4,7},{5,6}}
[2,6,5,8,1,7,3,4]=>[5,8,7,6,1,4,3,2]=>{{1,5},{2,8},{3,7},{4,6}}=>{{1,6},{2,7},{3,8},{4,5}}=>{{1,5},{2,8},{3,7},{4,6}}
[2,3,1,8,5,6,4,7]=>[3,2,1,8,7,6,5,4]=>{{1,3},{2},{4,8},{5,7},{6}}=>{{1,3},{2},{4,7},{5,8},{6}}=>{{1,3},{2},{4,8},{5,7},{6}}
[4,6,2,7,1,5,3,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[5,6,3,7,1,4,2,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[1,8,5,6,3,4,2,7]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[3,4,2,6,5,8,1,7]=>[7,3,2,5,4,8,1,6]=>{{1,7},{2,3},{4,5},{6,8}}=>{{1,3},{2,5},{4,8},{6,7}}=>{{1,7},{2,3},{4,5},{6,8}}
[4,7,2,3,1,8,5,6]=>[5,8,4,3,1,7,6,2]=>{{1,5},{2,8},{3,4},{6,7}}=>{{1,4},{2,7},{3,5},{6,8}}=>{{1,5},{2,8},{3,4},{6,7}}
[2,4,3,8,1,7,5,6]=>[5,3,2,8,1,7,6,4]=>{{1,5},{2,3},{4,8},{6,7}}=>{{1,3},{2,7},{4,5},{6,8}}=>{{1,5},{2,3},{4,8},{6,7}}
[2,6,7,3,8,5,4,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[2,6,1,8,4,5,3,7]=>[3,7,1,8,6,5,2,4]=>{{1,3},{2,7},{4,8},{5,6}}=>{{1,6},{2,3},{4,8},{5,7}}=>{{1,3},{2,7},{4,8},{5,6}}
[4,2,1,6,5,3,8,7]=>[6,3,2,5,4,1,8,7]=>{{1,6},{2,3},{4,5},{7,8}}=>{{1,3},{2,5},{4,6},{7,8}}=>{{1,6},{2,3},{4,5},{7,8}}
[6,2,4,3,1,5,8,7]=>[6,5,4,3,2,1,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>{{1,4},{2,5},{3,6},{7,8}}=>{{1,6},{2,5},{3,4},{7,8}}
[4,6,2,1,5,3,8,7]=>[6,5,4,3,2,1,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>{{1,4},{2,5},{3,6},{7,8}}=>{{1,6},{2,5},{3,4},{7,8}}
[8,4,2,1,6,5,3,7]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}
[2,6,4,5,1,8,7,3]=>[5,8,4,3,1,7,6,2]=>{{1,5},{2,8},{3,4},{6,7}}=>{{1,4},{2,7},{3,5},{6,8}}=>{{1,5},{2,8},{3,4},{6,7}}
[6,8,7,2,1,4,3,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,8,2,1,7,4,3,5]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}
[6,8,2,1,4,3,7,5]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}
[8,6,2,4,3,1,5,7]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,8,2,4,3,1,7,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,8,4,6,7,3,1,5]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[2,8,6,7,4,3,1,5]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[6,8,7,2,4,3,1,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,6,5,2,8,3,7,1]=>[8,6,4,3,7,2,5,1]=>{{1,8},{2,6},{3,4},{5,7}}=>{{1,4},{2,7},{3,6},{5,8}}=>{{1,8},{2,6},{3,4},{5,7}}
[2,6,4,5,8,3,7,1]=>[8,6,4,3,7,2,5,1]=>{{1,8},{2,6},{3,4},{5,7}}=>{{1,4},{2,7},{3,6},{5,8}}=>{{1,8},{2,6},{3,4},{5,7}}
[6,4,2,8,3,5,7,1]=>[8,6,5,7,3,2,4,1]=>{{1,8},{2,6},{3,5},{4,7}}=>{{1,7},{2,5},{3,6},{4,8}}=>{{1,8},{2,6},{3,5},{4,7}}
[8,4,2,6,3,5,1,7]=>[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}}
[4,2,6,3,8,7,5,1]=>[8,4,7,2,6,5,3,1]=>{{1,8},{2,4},{3,7},{5,6}}=>{{1,6},{2,4},{3,7},{5,8}}=>{{1,8},{2,4},{3,7},{5,6}}
[8,2,4,3,6,5,1,7]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}
[4,2,1,6,8,7,5,3]=>[8,3,2,7,6,5,4,1]=>{{1,8},{2,3},{4,7},{5,6}}=>{{1,3},{2,6},{4,7},{5,8}}=>{{1,8},{2,3},{4,7},{5,6}}
[4,2,1,6,5,8,7,3]=>[8,3,2,5,4,7,6,1]=>{{1,8},{2,3},{4,5},{6,7}}=>{{1,3},{2,5},{4,7},{6,8}}=>{{1,8},{2,3},{4,5},{6,7}}
[4,2,1,3,6,8,7,5]=>[4,3,2,1,8,7,6,5]=>{{1,4},{2,3},{5,8},{6,7}}=>{{1,3},{2,4},{5,7},{6,8}}=>{{1,4},{2,3},{5,8},{6,7}}
[2,4,3,1,8,6,5,7]=>[4,3,2,1,8,7,6,5]=>{{1,4},{2,3},{5,8},{6,7}}=>{{1,3},{2,4},{5,7},{6,8}}=>{{1,4},{2,3},{5,8},{6,7}}
[6,2,1,8,7,4,3,5]=>[8,3,2,7,6,5,4,1]=>{{1,8},{2,3},{4,7},{5,6}}=>{{1,3},{2,6},{4,7},{5,8}}=>{{1,8},{2,3},{4,7},{5,6}}
[6,2,1,8,4,3,7,5]=>[8,3,2,7,6,5,4,1]=>{{1,8},{2,3},{4,7},{5,6}}=>{{1,3},{2,6},{4,7},{5,8}}=>{{1,8},{2,3},{4,7},{5,6}}
[4,6,8,7,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,6,5,8,7,2,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,6,8,7,4,5,1,3]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[2,4,8,6,7,5,1,3]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[4,2,8,6,5,7,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,4,8,2,1,5,7,3]=>[8,6,7,5,4,2,3,1]=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,8},{2,6},{3,7},{4,5}}
[2,6,8,4,7,1,5,3]=>[6,8,7,5,4,1,3,2]=>{{1,6},{2,8},{3,7},{4,5}}=>{{1,5},{2,7},{3,8},{4,6}}=>{{1,6},{2,8},{3,7},{4,5}}
[4,6,5,8,2,1,7,3]=>[8,6,5,7,3,2,4,1]=>{{1,8},{2,6},{3,5},{4,7}}=>{{1,7},{2,5},{3,6},{4,8}}=>{{1,8},{2,6},{3,5},{4,7}}
[4,8,6,7,2,1,3,5]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[6,7,3,4,8,5,2,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[4,7,3,2,8,6,1,5]=>[7,8,4,3,6,5,1,2]=>{{1,7},{2,8},{3,4},{5,6}}=>{{1,4},{2,6},{3,8},{5,7}}=>{{1,7},{2,8},{3,4},{5,6}}
[6,8,2,5,1,7,3,4]=>[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}}
[7,8,3,4,6,2,1,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,7,2,3,8,5,1,6]=>[7,8,4,3,6,5,1,2]=>{{1,7},{2,8},{3,4},{5,6}}=>{{1,4},{2,6},{3,8},{5,7}}=>{{1,7},{2,8},{3,4},{5,6}}
[4,6,7,1,8,5,3,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[6,4,7,2,8,5,3,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[5,4,8,3,6,7,1,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[4,5,8,3,6,7,2,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[4,6,8,3,5,2,7,1]=>[8,6,7,5,4,2,3,1]=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,8},{2,6},{3,7},{4,5}}
[5,7,8,3,2,4,1,6]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[4,3,1,6,5,8,7,2]=>[8,3,2,5,4,7,6,1]=>{{1,8},{2,3},{4,5},{6,7}}=>{{1,3},{2,5},{4,7},{6,8}}=>{{1,8},{2,3},{4,5},{6,7}}
[8,2,7,4,1,3,6,5]=>[8,5,7,6,2,4,3,1]=>{{1,8},{2,5},{3,7},{4,6}}=>{{1,6},{2,7},{3,5},{4,8}}=>{{1,8},{2,5},{3,7},{4,6}}
[3,6,4,5,1,8,7,2]=>[8,5,4,3,2,7,6,1]=>{{1,8},{2,5},{3,4},{6,7}}=>{{1,4},{2,5},{3,7},{6,8}}=>{{1,8},{2,5},{3,4},{6,7}}
[4,3,6,1,2,8,7,5]=>[5,4,8,2,1,7,6,3]=>{{1,5},{2,4},{3,8},{6,7}}=>{{1,7},{2,4},{3,5},{6,8}}=>{{1,5},{2,4},{3,8},{6,7}}
[1,7,3,8,4,6,2,5]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[1,6,7,4,8,5,3,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[6,8,3,1,4,7,5,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,4,2,5,7,1,6,3]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[1,8,5,3,7,4,6,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[4,2,8,5,7,6,1,3]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[1,4,8,6,5,7,2,3]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[1,4,5,8,6,7,3,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[1,7,6,5,8,3,4,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[7,6,4,5,8,1,3,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[5,2,6,3,8,1,4,7]=>[7,6,4,3,8,2,1,5]=>{{1,7},{2,6},{3,4},{5,8}}=>{{1,4},{2,8},{3,6},{5,7}}=>{{1,7},{2,6},{3,4},{5,8}}
[4,3,1,6,8,7,5,2]=>[8,3,2,7,6,5,4,1]=>{{1,8},{2,3},{4,7},{5,6}}=>{{1,3},{2,6},{4,7},{5,8}}=>{{1,8},{2,3},{4,7},{5,6}}
[6,2,8,4,3,1,7,5]=>[8,6,7,5,4,2,3,1]=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,8},{2,6},{3,7},{4,5}}
[8,2,1,4,6,5,7,3]=>[8,3,2,7,6,5,4,1]=>{{1,8},{2,3},{4,7},{5,6}}=>{{1,3},{2,6},{4,7},{5,8}}=>{{1,8},{2,3},{4,7},{5,6}}
[6,3,5,1,4,2,8,7]=>[6,5,4,3,2,1,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>{{1,4},{2,5},{3,6},{7,8}}=>{{1,6},{2,5},{3,4},{7,8}}
[5,3,8,7,2,1,4,6]=>[7,6,8,5,4,2,1,3]=>{{1,7},{2,6},{3,8},{4,5}}=>{{1,5},{2,8},{3,6},{4,7}}=>{{1,7},{2,6},{3,8},{4,5}}
[7,6,5,4,1,3,2,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[1,8,7,6,2,5,4,3]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[6,2,7,4,5,1,3,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[5,7,3,4,1,6,2,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[1,7,8,4,5,6,2,3]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[1,6,8,4,5,2,7,3]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[1,7,3,8,5,6,2,4]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[8,7,4,1,6,2,3,5]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[6,4,2,8,1,5,7,3]=>[8,6,5,7,3,2,4,1]=>{{1,8},{2,6},{3,5},{4,7}}=>{{1,7},{2,5},{3,6},{4,8}}=>{{1,8},{2,6},{3,5},{4,7}}
[7,3,6,8,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,7,8,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,5,6,8,3,4,1,7]=>[7,6,5,8,3,2,1,4]=>{{1,7},{2,6},{3,5},{4,8}}=>{{1,8},{2,5},{3,6},{4,7}}=>{{1,7},{2,6},{3,5},{4,8}}
[3,6,5,4,1,8,7,2]=>[8,5,4,3,2,7,6,1]=>{{1,8},{2,5},{3,4},{6,7}}=>{{1,4},{2,5},{3,7},{6,8}}=>{{1,8},{2,5},{3,4},{6,7}}
[2,6,4,1,5,3,8,7]=>[4,6,5,1,3,2,8,7]=>{{1,4},{2,6},{3,5},{7,8}}=>{{1,5},{2,6},{3,4},{7,8}}=>{{1,4},{2,6},{3,5},{7,8}}
[8,3,4,2,1,6,5,7]=>[8,5,4,3,2,7,6,1]=>{{1,8},{2,5},{3,4},{6,7}}=>{{1,4},{2,5},{3,7},{6,8}}=>{{1,8},{2,5},{3,4},{6,7}}
[6,4,7,8,2,1,3,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,7,3,8,4,1,2,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,5,8,4,1,3,2,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,7,5,8,3,1,2,6]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[8,5,3,2,7,6,1,4]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,5,2,8,4,1,3,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,3,8,5,2,1,4,6]=>[8,6,7,5,4,2,3,1]=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,8},{2,6},{3,7},{4,5}}
[5,8,3,6,4,7,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[3,7,8,4,1,5,6,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[3,5,8,6,7,4,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[3,7,6,8,1,2,5,4]=>[6,8,7,5,4,1,3,2]=>{{1,6},{2,8},{3,7},{4,5}}=>{{1,5},{2,7},{3,8},{4,6}}=>{{1,6},{2,8},{3,7},{4,5}}
[8,7,6,1,2,3,5,4]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[2,6,5,3,4,1,8,7]=>[6,5,4,3,2,1,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>{{1,4},{2,5},{3,6},{7,8}}=>{{1,6},{2,5},{3,4},{7,8}}
[5,8,7,6,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,2,7,1,5,4,3,6]=>[8,4,7,2,6,5,3,1]=>{{1,8},{2,4},{3,7},{5,6}}=>{{1,6},{2,4},{3,7},{5,8}}=>{{1,8},{2,4},{3,7},{5,6}}
[4,6,2,8,5,1,3,7]=>[7,6,5,8,3,2,1,4]=>{{1,7},{2,6},{3,5},{4,8}}=>{{1,8},{2,5},{3,6},{4,7}}=>{{1,7},{2,6},{3,5},{4,8}}
[8,7,5,1,2,6,4,3]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[2,8,5,7,4,1,3,6]=>[6,8,7,5,4,1,3,2]=>{{1,6},{2,8},{3,7},{4,5}}=>{{1,5},{2,7},{3,8},{4,6}}=>{{1,6},{2,8},{3,7},{4,5}}
[7,8,5,3,6,4,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,1,4,8,7,5,6,3]=>[2,1,8,7,6,5,4,3]=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,2},{3,8},{4,7},{5,6}}
[7,4,6,8,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,4,8,3,5,7,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,5,7,4,6,2,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,8,7,6,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,1,8,6,4,3,7,5]=>[2,1,8,7,6,5,4,3]=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,2},{3,8},{4,7},{5,6}}
[4,2,3,6,8,7,5,1]=>[8,3,2,7,6,5,4,1]=>{{1,8},{2,3},{4,7},{5,6}}=>{{1,3},{2,6},{4,7},{5,8}}=>{{1,8},{2,3},{4,7},{5,6}}
[8,4,2,5,6,1,7,3]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,4,7,6,2,1,5,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,6,2,3,7,1,4,5]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,8,6,1,3,2,5,4]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[1,8,5,7,2,3,4,6]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[2,3,1,7,8,6,4,5]=>[3,2,1,8,7,6,5,4]=>{{1,3},{2},{4,8},{5,7},{6}}=>{{1,3},{2},{4,7},{5,8},{6}}=>{{1,3},{2},{4,8},{5,7},{6}}
[2,1,4,6,8,3,7,5]=>[2,1,6,8,7,3,5,4]=>{{1,2},{3,6},{4,8},{5,7}}=>{{1,2},{3,7},{4,8},{5,6}}=>{{1,2},{3,6},{4,8},{5,7}}
[4,5,6,1,2,8,7,3]=>[8,5,4,3,2,7,6,1]=>{{1,8},{2,5},{3,4},{6,7}}=>{{1,4},{2,5},{3,7},{6,8}}=>{{1,8},{2,5},{3,4},{6,7}}
[3,5,6,2,4,8,7,1]=>[8,5,4,3,2,7,6,1]=>{{1,8},{2,5},{3,4},{6,7}}=>{{1,4},{2,5},{3,7},{6,8}}=>{{1,8},{2,5},{3,4},{6,7}}
[5,6,3,7,8,4,2,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[4,3,2,6,8,1,7,5]=>[6,3,2,8,7,1,5,4]=>{{1,6},{2,3},{4,8},{5,7}}=>{{1,3},{2,7},{4,8},{5,6}}=>{{1,6},{2,3},{4,8},{5,7}}
[3,6,5,8,4,7,1,2]=>[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}}
[6,5,8,4,3,1,2,7]=>[7,6,8,5,4,2,1,3]=>{{1,7},{2,6},{3,8},{4,5}}=>{{1,5},{2,8},{3,6},{4,7}}=>{{1,7},{2,6},{3,8},{4,5}}
[6,4,3,8,2,5,7,1]=>[8,6,5,7,3,2,4,1]=>{{1,8},{2,6},{3,5},{4,7}}=>{{1,7},{2,5},{3,6},{4,8}}=>{{1,8},{2,6},{3,5},{4,7}}
[6,8,2,3,4,7,5,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[3,6,8,5,2,7,4,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,1,6,5,4,8,3,7]=>[2,1,7,5,4,8,3,6]=>{{1,2},{3,7},{4,5},{6,8}}=>{{1,2},{3,5},{4,8},{6,7}}=>{{1,2},{3,7},{4,5},{6,8}}
[3,8,7,4,1,2,5,6]=>[6,8,7,5,4,1,3,2]=>{{1,6},{2,8},{3,7},{4,5}}=>{{1,5},{2,7},{3,8},{4,6}}=>{{1,6},{2,8},{3,7},{4,5}}
[3,5,7,8,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,5,2,8,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,2,4,3,1,5,6]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,4,3,1,7,5,2,6]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}
[7,6,2,8,5,1,4,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,3,8,7,1,6,5,2]=>[8,5,7,6,2,4,3,1]=>{{1,8},{2,5},{3,7},{4,6}}=>{{1,6},{2,7},{3,5},{4,8}}=>{{1,8},{2,5},{3,7},{4,6}}
[3,7,5,8,1,6,2,4]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[5,8,2,7,3,4,6,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,7,2,1,8,3,6,4]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}
[6,8,5,2,1,7,3,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,6,2,4,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>{{1,4},{2,5},{3,6},{7,8}}=>{{1,6},{2,5},{3,4},{7,8}}
[8,7,6,5,1,3,2,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,6,2,4,3,1,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,6,8,1,5,4,3,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[6,5,8,1,7,4,3,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[4,3,8,7,6,1,5,2]=>[8,6,7,5,4,2,3,1]=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,8},{2,6},{3,7},{4,5}}
[6,5,8,7,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,4,8,7,6,3,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,6,3,7,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
[3,5,7,4,8,6,1,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[3,4,1,2,7,8,6,5]=>[4,3,2,1,8,7,6,5]=>{{1,4},{2,3},{5,8},{6,7}}=>{{1,3},{2,4},{5,7},{6,8}}=>{{1,4},{2,3},{5,8},{6,7}}
[8,2,1,5,6,4,3,7]=>[8,3,2,7,6,5,4,1]=>{{1,8},{2,3},{4,7},{5,6}}=>{{1,3},{2,6},{4,7},{5,8}}=>{{1,8},{2,3},{4,7},{5,6}}
[6,7,8,1,4,5,3,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,4,7,6,2,3,1,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,7,2,3,8,1,6,4]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[3,6,4,5,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>{{1,4},{2,5},{3,6},{7,8}}=>{{1,6},{2,5},{3,4},{7,8}}
[5,6,3,1,8,2,7,4]=>[8,6,4,3,7,2,5,1]=>{{1,8},{2,6},{3,4},{5,7}}=>{{1,4},{2,7},{3,6},{5,8}}=>{{1,8},{2,6},{3,4},{5,7}}
[6,5,4,3,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>{{1,4},{2,5},{3,6},{7,8}}=>{{1,6},{2,5},{3,4},{7,8}}
[5,6,2,8,1,7,4,3]=>[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}}
[6,7,8,2,3,5,4,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,8,6,2,3,7,4,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,8,6,1,7,2,4,3]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[3,1,2,8,6,4,5,7]=>[3,2,1,8,7,6,5,4]=>{{1,3},{2},{4,8},{5,7},{6}}=>{{1,3},{2},{4,7},{5,8},{6}}=>{{1,3},{2},{4,8},{5,7},{6}}
[3,2,1,8,6,5,4,7]=>[3,2,1,8,7,6,5,4]=>{{1,3},{2},{4,8},{5,7},{6}}=>{{1,3},{2},{4,7},{5,8},{6}}=>{{1,3},{2},{4,8},{5,7},{6}}
[5,2,7,1,8,4,3,6]=>[7,4,8,2,6,5,1,3]=>{{1,7},{2,4},{3,8},{5,6}}=>{{1,6},{2,4},{3,8},{5,7}}=>{{1,7},{2,4},{3,8},{5,6}}
[6,7,2,1,8,4,3,5]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}
[2,4,1,6,8,5,3,7]=>[3,7,1,6,8,4,2,5]=>{{1,3},{2,7},{4,6},{5,8}}=>{{1,8},{2,3},{4,6},{5,7}}=>{{1,3},{2,7},{4,6},{5,8}}
[2,5,6,1,8,4,3,7]=>[4,7,6,1,8,3,2,5]=>{{1,4},{2,7},{3,6},{5,8}}=>{{1,8},{2,6},{3,4},{5,7}}=>{{1,4},{2,7},{3,6},{5,8}}
[3,5,6,8,4,7,2,1]=>[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}}
[2,5,6,8,7,3,4,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,3,7,8,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,7,3,8,4,5,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,2,8,6,7,3,5,1]=>[8,6,7,5,4,2,3,1]=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,8},{2,6},{3,7},{4,5}}
[2,1,8,7,6,4,3,5]=>[2,1,8,7,6,5,4,3]=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,2},{3,8},{4,7},{5,6}}
[6,3,8,7,5,1,2,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,8,7,4,1,3,5,6]=>[5,8,7,6,1,4,3,2]=>{{1,5},{2,8},{3,7},{4,6}}=>{{1,6},{2,7},{3,8},{4,5}}=>{{1,5},{2,8},{3,7},{4,6}}
[2,8,7,1,4,5,3,6]=>[4,8,7,1,6,5,3,2]=>{{1,4},{2,8},{3,7},{5,6}}=>{{1,6},{2,7},{3,4},{5,8}}=>{{1,4},{2,8},{3,7},{5,6}}
[4,2,1,8,7,3,5,6]=>[6,3,2,8,7,1,5,4]=>{{1,6},{2,3},{4,8},{5,7}}=>{{1,3},{2,7},{4,8},{5,6}}=>{{1,6},{2,3},{4,8},{5,7}}
[8,7,4,6,2,3,1,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,7,2,3,5,4,1,6]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[3,4,2,8,6,1,5,7]=>[6,3,2,8,7,1,5,4]=>{{1,6},{2,3},{4,8},{5,7}}=>{{1,3},{2,7},{4,8},{5,6}}=>{{1,6},{2,3},{4,8},{5,7}}
[6,8,3,5,4,7,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,2,1,8,4,5,3,7]=>[7,3,2,8,6,5,1,4]=>{{1,7},{2,3},{4,8},{5,6}}=>{{1,3},{2,6},{4,8},{5,7}}=>{{1,7},{2,3},{4,8},{5,6}}
[4,7,3,8,5,2,1,6]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[6,4,2,8,5,1,3,7]=>[7,6,5,8,3,2,1,4]=>{{1,7},{2,6},{3,5},{4,8}}=>{{1,8},{2,5},{3,6},{4,7}}=>{{1,7},{2,6},{3,5},{4,8}}
[8,6,2,4,1,3,7,5]=>[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}}
[4,7,5,1,8,6,3,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[3,6,5,8,4,1,7,2]=>[8,6,5,7,3,2,4,1]=>{{1,8},{2,6},{3,5},{4,7}}=>{{1,7},{2,5},{3,6},{4,8}}=>{{1,8},{2,6},{3,5},{4,7}}
[7,3,8,2,5,6,4,1]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,4,3,2,8,1,6,5]=>[8,6,4,3,7,2,5,1]=>{{1,8},{2,6},{3,4},{5,7}}=>{{1,4},{2,7},{3,6},{5,8}}=>{{1,8},{2,6},{3,4},{5,7}}
[1,8,5,3,6,4,2,7]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[8,5,7,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,8,5,6,1,4,3,7]=>[5,8,7,6,1,4,3,2]=>{{1,5},{2,8},{3,7},{4,6}}=>{{1,6},{2,7},{3,8},{4,5}}=>{{1,5},{2,8},{3,7},{4,6}}
[3,7,5,8,2,1,4,6]=>[6,8,7,5,4,1,3,2]=>{{1,6},{2,8},{3,7},{4,5}}=>{{1,5},{2,7},{3,8},{4,6}}=>{{1,6},{2,8},{3,7},{4,5}}
[6,5,8,4,1,3,7,2]=>[8,6,7,5,4,2,3,1]=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,8},{2,6},{3,7},{4,5}}
[5,7,4,8,1,3,6,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[3,6,7,8,1,2,5,4]=>[6,8,7,5,4,1,3,2]=>{{1,6},{2,8},{3,7},{4,5}}=>{{1,5},{2,7},{3,8},{4,6}}=>{{1,6},{2,8},{3,7},{4,5}}
[2,7,4,1,8,3,6,5]=>[4,8,6,1,7,3,5,2]=>{{1,4},{2,8},{3,6},{5,7}}=>{{1,7},{2,6},{3,4},{5,8}}=>{{1,4},{2,8},{3,6},{5,7}}
[3,7,4,8,5,2,1,6]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[7,2,5,8,6,3,1,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,8,2,1,7,5,3,6]=>[7,8,4,3,6,5,1,2]=>{{1,7},{2,8},{3,4},{5,6}}=>{{1,4},{2,6},{3,8},{5,7}}=>{{1,7},{2,8},{3,4},{5,6}}
[7,3,8,1,6,4,2,5]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[5,8,7,1,3,6,4,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[2,8,7,1,6,3,5,4]=>[4,8,7,1,6,5,3,2]=>{{1,4},{2,8},{3,7},{5,6}}=>{{1,6},{2,7},{3,4},{5,8}}=>{{1,4},{2,8},{3,7},{5,6}}
[3,8,7,6,2,1,5,4]=>[6,8,7,5,4,1,3,2]=>{{1,6},{2,8},{3,7},{4,5}}=>{{1,5},{2,7},{3,8},{4,6}}=>{{1,6},{2,8},{3,7},{4,5}}
[5,8,7,2,6,1,4,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,3,8,6,5,1,2,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,8,6,4,3,2,1,7]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[8,7,6,2,5,3,1,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,2,8,7,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,2,8,7,6,4,3,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,5,8,6,3,1,4,7]=>[6,7,8,5,4,1,2,3]=>{{1,6},{2,7},{3,8},{4,5}}=>{{1,5},{2,8},{3,7},{4,6}}=>{{1,6},{2,7},{3,8},{4,5}}
[4,5,6,2,3,8,1,7]=>[7,5,4,3,2,8,1,6]=>{{1,7},{2,5},{3,4},{6,8}}=>{{1,4},{2,5},{3,8},{6,7}}=>{{1,7},{2,5},{3,4},{6,8}}
[5,4,6,1,3,8,2,7]=>[7,5,4,3,2,8,1,6]=>{{1,7},{2,5},{3,4},{6,8}}=>{{1,4},{2,5},{3,8},{6,7}}=>{{1,7},{2,5},{3,4},{6,8}}
[4,8,6,5,7,1,2,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,5,7,4,3,1,6,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[3,1,2,7,8,6,4,5]=>[3,2,1,8,7,6,5,4]=>{{1,3},{2},{4,8},{5,7},{6}}=>{{1,3},{2},{4,7},{5,8},{6}}=>{{1,3},{2},{4,8},{5,7},{6}}
[3,8,4,1,2,7,6,5]=>[5,8,4,3,1,7,6,2]=>{{1,5},{2,8},{3,4},{6,7}}=>{{1,4},{2,7},{3,5},{6,8}}=>{{1,5},{2,8},{3,4},{6,7}}
[2,7,5,8,3,4,1,6]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[2,7,1,6,8,3,5,4]=>[3,8,1,7,6,5,4,2]=>{{1,3},{2,8},{4,7},{5,6}}=>{{1,6},{2,3},{4,7},{5,8}}=>{{1,3},{2,8},{4,7},{5,6}}
[8,5,3,2,6,1,7,4]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[6,2,1,5,3,8,7,4]=>[8,3,2,5,4,7,6,1]=>{{1,8},{2,3},{4,5},{6,7}}=>{{1,3},{2,5},{4,7},{6,8}}=>{{1,8},{2,3},{4,5},{6,7}}
[7,8,4,1,2,5,3,6]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,8,2,1,6,3,5,4]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}
[3,4,8,7,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[1,8,3,7,6,4,5,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
[2,6,8,5,3,1,7,4]=>[6,8,7,5,4,1,3,2]=>{{1,6},{2,8},{3,7},{4,5}}=>{{1,5},{2,7},{3,8},{4,6}}=>{{1,6},{2,8},{3,7},{4,5}}
[4,3,8,5,7,6,1,2]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[4,8,6,3,7,5,1,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[3,8,6,5,2,7,1,4]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
[3,8,5,6,1,7,4,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[3,7,8,5,2,1,6,4]=>[6,8,7,5,4,1,3,2]=>{{1,6},{2,8},{3,7},{4,5}}=>{{1,5},{2,7},{3,8},{4,6}}=>{{1,6},{2,8},{3,7},{4,5}}
[4,2,7,8,1,3,6,5]=>[6,5,8,7,2,1,4,3]=>{{1,6},{2,5},{3,8},{4,7}}=>{{1,7},{2,8},{3,5},{4,6}}=>{{1,6},{2,5},{3,8},{4,7}}
[2,1,8,7,6,3,5,4]=>[2,1,8,7,6,5,4,3]=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,2},{3,8},{4,7},{5,6}}
[4,6,2,5,1,3,8,7]=>[6,5,4,3,2,1,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>{{1,4},{2,5},{3,6},{7,8}}=>{{1,6},{2,5},{3,4},{7,8}}
[2,6,4,3,1,5,8,7]=>[5,6,4,3,1,2,8,7]=>{{1,5},{2,6},{3,4},{7,8}}=>{{1,4},{2,6},{3,5},{7,8}}=>{{1,5},{2,6},{3,4},{7,8}}
[6,8,2,7,4,3,1,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,8,2,5,4,7,1,3]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,6,2,8,4,3,1,5]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,6,5,1,8,4,3,7]=>[4,7,6,1,8,3,2,5]=>{{1,4},{2,7},{3,6},{5,8}}=>{{1,8},{2,6},{3,4},{5,7}}=>{{1,4},{2,7},{3,6},{5,8}}
[4,2,1,6,3,8,7,5]=>[5,3,2,8,1,7,6,4]=>{{1,5},{2,3},{4,8},{6,7}}=>{{1,3},{2,7},{4,5},{6,8}}=>{{1,5},{2,3},{4,8},{6,7}}
[5,2,7,3,8,6,1,4]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[5,8,3,2,7,6,1,4]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[2,4,8,3,1,7,5,6]=>[5,4,8,2,1,7,6,3]=>{{1,5},{2,4},{3,8},{6,7}}=>{{1,7},{2,4},{3,5},{6,8}}=>{{1,5},{2,4},{3,8},{6,7}}
[4,8,3,2,1,7,6,5]=>[5,8,4,3,1,7,6,2]=>{{1,5},{2,8},{3,4},{6,7}}=>{{1,4},{2,7},{3,5},{6,8}}=>{{1,5},{2,8},{3,4},{6,7}}
[6,8,3,7,2,1,5,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,8,3,1,6,2,7,4]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[6,8,4,7,1,5,3,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,3,2,1,6,8,5,7]=>[4,3,2,1,7,8,5,6]=>{{1,4},{2,3},{5,7},{6,8}}=>{{1,3},{2,4},{5,8},{6,7}}=>{{1,4},{2,3},{5,7},{6,8}}
[2,4,1,3,8,7,6,5]=>[3,4,1,2,8,7,6,5]=>{{1,3},{2,4},{5,8},{6,7}}=>{{1,4},{2,3},{5,7},{6,8}}=>{{1,3},{2,4},{5,8},{6,7}}
[4,8,6,5,1,7,3,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,1,4,8,6,5,3,7]=>[2,1,7,8,6,5,3,4]=>{{1,2},{3,7},{4,8},{5,6}}=>{{1,2},{3,6},{4,8},{5,7}}=>{{1,2},{3,7},{4,8},{5,6}}
[4,3,2,8,7,6,1,5]=>[7,3,2,8,6,5,1,4]=>{{1,7}