Identifier
Mp00223:
Permutations
—runsort⟶
Permutations
Mp00151: Permutations —to cycle type⟶ Set partitions
Mp00115: Set partitions —Kasraoui-Zeng⟶ Set partitions
Mp00151: Permutations —to cycle type⟶ Set partitions
Mp00115: Set partitions —Kasraoui-Zeng⟶ Set partitions
Images
=>
Cc0009;cc-rep-2Cc0009;cc-rep-3
[1]=>[1]=>{{1}}=>{{1}}
[1,2]=>[1,2]=>{{1},{2}}=>{{1},{2}}
[2,1]=>[1,2]=>{{1},{2}}=>{{1},{2}}
[1,2,3]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[1,3,2]=>[1,3,2]=>{{1},{2,3}}=>{{1},{2,3}}
[2,1,3]=>[1,3,2]=>{{1},{2,3}}=>{{1},{2,3}}
[2,3,1]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[3,1,2]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[3,2,1]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[1,2,3,4]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[1,2,4,3]=>[1,2,4,3]=>{{1},{2},{3,4}}=>{{1},{2},{3,4}}
[1,3,2,4]=>[1,3,2,4]=>{{1},{2,3},{4}}=>{{1},{2,3},{4}}
[1,3,4,2]=>[1,3,4,2]=>{{1},{2,3,4}}=>{{1},{2,3,4}}
[1,4,2,3]=>[1,4,2,3]=>{{1},{2,3,4}}=>{{1},{2,3,4}}
[1,4,3,2]=>[1,4,2,3]=>{{1},{2,3,4}}=>{{1},{2,3,4}}
[2,1,3,4]=>[1,3,4,2]=>{{1},{2,3,4}}=>{{1},{2,3,4}}
[2,1,4,3]=>[1,4,2,3]=>{{1},{2,3,4}}=>{{1},{2,3,4}}
[2,3,1,4]=>[1,4,2,3]=>{{1},{2,3,4}}=>{{1},{2,3,4}}
[2,3,4,1]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[2,4,1,3]=>[1,3,2,4]=>{{1},{2,3},{4}}=>{{1},{2,3},{4}}
[2,4,3,1]=>[1,2,4,3]=>{{1},{2},{3,4}}=>{{1},{2},{3,4}}
[3,1,2,4]=>[1,2,4,3]=>{{1},{2},{3,4}}=>{{1},{2},{3,4}}
[3,1,4,2]=>[1,4,2,3]=>{{1},{2,3,4}}=>{{1},{2,3,4}}
[3,2,1,4]=>[1,4,2,3]=>{{1},{2,3,4}}=>{{1},{2,3,4}}
[3,2,4,1]=>[1,2,4,3]=>{{1},{2},{3,4}}=>{{1},{2},{3,4}}
[3,4,1,2]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[3,4,2,1]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[4,1,2,3]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[4,1,3,2]=>[1,3,2,4]=>{{1},{2,3},{4}}=>{{1},{2,3},{4}}
[4,2,1,3]=>[1,3,2,4]=>{{1},{2,3},{4}}=>{{1},{2,3},{4}}
[4,2,3,1]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[4,3,1,2]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[4,3,2,1]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[1,2,3,4,5]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[1,2,3,5,4]=>[1,2,3,5,4]=>{{1},{2},{3},{4,5}}=>{{1},{2},{3},{4,5}}
[1,2,4,3,5]=>[1,2,4,3,5]=>{{1},{2},{3,4},{5}}=>{{1},{2},{3,4},{5}}
[1,2,4,5,3]=>[1,2,4,5,3]=>{{1},{2},{3,4,5}}=>{{1},{2},{3,4,5}}
[1,2,5,3,4]=>[1,2,5,3,4]=>{{1},{2},{3,4,5}}=>{{1},{2},{3,4,5}}
[1,2,5,4,3]=>[1,2,5,3,4]=>{{1},{2},{3,4,5}}=>{{1},{2},{3,4,5}}
[1,3,2,4,5]=>[1,3,2,4,5]=>{{1},{2,3},{4},{5}}=>{{1},{2,3},{4},{5}}
[1,3,2,5,4]=>[1,3,2,5,4]=>{{1},{2,3},{4,5}}=>{{1},{2,3},{4,5}}
[1,3,4,2,5]=>[1,3,4,2,5]=>{{1},{2,3,4},{5}}=>{{1},{2,3,4},{5}}
[1,3,4,5,2]=>[1,3,4,5,2]=>{{1},{2,3,4,5}}=>{{1},{2,3,4,5}}
[1,3,5,2,4]=>[1,3,5,2,4]=>{{1},{2,3,4,5}}=>{{1},{2,3,4,5}}
[1,3,5,4,2]=>[1,3,5,2,4]=>{{1},{2,3,4,5}}=>{{1},{2,3,4,5}}
[1,4,2,3,5]=>[1,4,2,3,5]=>{{1},{2,3,4},{5}}=>{{1},{2,3,4},{5}}
[1,4,2,5,3]=>[1,4,2,5,3]=>{{1},{2,3,4,5}}=>{{1},{2,3,4,5}}
[1,4,3,2,5]=>[1,4,2,5,3]=>{{1},{2,3,4,5}}=>{{1},{2,3,4,5}}
[1,4,3,5,2]=>[1,4,2,3,5]=>{{1},{2,3,4},{5}}=>{{1},{2,3,4},{5}}
[1,4,5,2,3]=>[1,4,5,2,3]=>{{1},{2,4},{3,5}}=>{{1},{2,5},{3,4}}
[1,4,5,3,2]=>[1,4,5,2,3]=>{{1},{2,4},{3,5}}=>{{1},{2,5},{3,4}}
[1,5,2,3,4]=>[1,5,2,3,4]=>{{1},{2,3,4,5}}=>{{1},{2,3,4,5}}
[1,5,2,4,3]=>[1,5,2,4,3]=>{{1},{2,3,5},{4}}=>{{1},{2,3,5},{4}}
[1,5,3,2,4]=>[1,5,2,4,3]=>{{1},{2,3,5},{4}}=>{{1},{2,3,5},{4}}
[1,5,3,4,2]=>[1,5,2,3,4]=>{{1},{2,3,4,5}}=>{{1},{2,3,4,5}}
[1,5,4,2,3]=>[1,5,2,3,4]=>{{1},{2,3,4,5}}=>{{1},{2,3,4,5}}
[1,5,4,3,2]=>[1,5,2,3,4]=>{{1},{2,3,4,5}}=>{{1},{2,3,4,5}}
[2,1,3,4,5]=>[1,3,4,5,2]=>{{1},{2,3,4,5}}=>{{1},{2,3,4,5}}
[2,1,3,5,4]=>[1,3,5,2,4]=>{{1},{2,3,4,5}}=>{{1},{2,3,4,5}}
[2,1,4,3,5]=>[1,4,2,3,5]=>{{1},{2,3,4},{5}}=>{{1},{2,3,4},{5}}
[2,1,4,5,3]=>[1,4,5,2,3]=>{{1},{2,4},{3,5}}=>{{1},{2,5},{3,4}}
[2,1,5,3,4]=>[1,5,2,3,4]=>{{1},{2,3,4,5}}=>{{1},{2,3,4,5}}
[2,1,5,4,3]=>[1,5,2,3,4]=>{{1},{2,3,4,5}}=>{{1},{2,3,4,5}}
[2,3,1,4,5]=>[1,4,5,2,3]=>{{1},{2,4},{3,5}}=>{{1},{2,5},{3,4}}
[2,3,1,5,4]=>[1,5,2,3,4]=>{{1},{2,3,4,5}}=>{{1},{2,3,4,5}}
[2,3,4,1,5]=>[1,5,2,3,4]=>{{1},{2,3,4,5}}=>{{1},{2,3,4,5}}
[2,3,4,5,1]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[2,3,5,1,4]=>[1,4,2,3,5]=>{{1},{2,3,4},{5}}=>{{1},{2,3,4},{5}}
[2,3,5,4,1]=>[1,2,3,5,4]=>{{1},{2},{3},{4,5}}=>{{1},{2},{3},{4,5}}
[2,4,1,3,5]=>[1,3,5,2,4]=>{{1},{2,3,4,5}}=>{{1},{2,3,4,5}}
[2,4,1,5,3]=>[1,5,2,4,3]=>{{1},{2,3,5},{4}}=>{{1},{2,3,5},{4}}
[2,4,3,1,5]=>[1,5,2,4,3]=>{{1},{2,3,5},{4}}=>{{1},{2,3,5},{4}}
[2,4,3,5,1]=>[1,2,4,3,5]=>{{1},{2},{3,4},{5}}=>{{1},{2},{3,4},{5}}
[2,4,5,1,3]=>[1,3,2,4,5]=>{{1},{2,3},{4},{5}}=>{{1},{2,3},{4},{5}}
[2,4,5,3,1]=>[1,2,4,5,3]=>{{1},{2},{3,4,5}}=>{{1},{2},{3,4,5}}
[2,5,1,3,4]=>[1,3,4,2,5]=>{{1},{2,3,4},{5}}=>{{1},{2,3,4},{5}}
[2,5,1,4,3]=>[1,4,2,5,3]=>{{1},{2,3,4,5}}=>{{1},{2,3,4,5}}
[2,5,3,1,4]=>[1,4,2,5,3]=>{{1},{2,3,4,5}}=>{{1},{2,3,4,5}}
[2,5,3,4,1]=>[1,2,5,3,4]=>{{1},{2},{3,4,5}}=>{{1},{2},{3,4,5}}
[2,5,4,1,3]=>[1,3,2,5,4]=>{{1},{2,3},{4,5}}=>{{1},{2,3},{4,5}}
[2,5,4,3,1]=>[1,2,5,3,4]=>{{1},{2},{3,4,5}}=>{{1},{2},{3,4,5}}
[3,1,2,4,5]=>[1,2,4,5,3]=>{{1},{2},{3,4,5}}=>{{1},{2},{3,4,5}}
[3,1,2,5,4]=>[1,2,5,3,4]=>{{1},{2},{3,4,5}}=>{{1},{2},{3,4,5}}
[3,1,4,2,5]=>[1,4,2,5,3]=>{{1},{2,3,4,5}}=>{{1},{2,3,4,5}}
[3,1,4,5,2]=>[1,4,5,2,3]=>{{1},{2,4},{3,5}}=>{{1},{2,5},{3,4}}
[3,1,5,2,4]=>[1,5,2,4,3]=>{{1},{2,3,5},{4}}=>{{1},{2,3,5},{4}}
[3,1,5,4,2]=>[1,5,2,3,4]=>{{1},{2,3,4,5}}=>{{1},{2,3,4,5}}
[3,2,1,4,5]=>[1,4,5,2,3]=>{{1},{2,4},{3,5}}=>{{1},{2,5},{3,4}}
[3,2,1,5,4]=>[1,5,2,3,4]=>{{1},{2,3,4,5}}=>{{1},{2,3,4,5}}
[3,2,4,1,5]=>[1,5,2,4,3]=>{{1},{2,3,5},{4}}=>{{1},{2,3,5},{4}}
[3,2,4,5,1]=>[1,2,4,5,3]=>{{1},{2},{3,4,5}}=>{{1},{2},{3,4,5}}
[3,2,5,1,4]=>[1,4,2,5,3]=>{{1},{2,3,4,5}}=>{{1},{2,3,4,5}}
[3,2,5,4,1]=>[1,2,5,3,4]=>{{1},{2},{3,4,5}}=>{{1},{2},{3,4,5}}
[3,4,1,2,5]=>[1,2,5,3,4]=>{{1},{2},{3,4,5}}=>{{1},{2},{3,4,5}}
[3,4,1,5,2]=>[1,5,2,3,4]=>{{1},{2,3,4,5}}=>{{1},{2,3,4,5}}
[3,4,2,1,5]=>[1,5,2,3,4]=>{{1},{2,3,4,5}}=>{{1},{2,3,4,5}}
[3,4,2,5,1]=>[1,2,5,3,4]=>{{1},{2},{3,4,5}}=>{{1},{2},{3,4,5}}
[3,4,5,1,2]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[3,4,5,2,1]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[3,5,1,2,4]=>[1,2,4,3,5]=>{{1},{2},{3,4},{5}}=>{{1},{2},{3,4},{5}}
[3,5,1,4,2]=>[1,4,2,3,5]=>{{1},{2,3,4},{5}}=>{{1},{2,3,4},{5}}
[3,5,2,1,4]=>[1,4,2,3,5]=>{{1},{2,3,4},{5}}=>{{1},{2,3,4},{5}}
[3,5,2,4,1]=>[1,2,4,3,5]=>{{1},{2},{3,4},{5}}=>{{1},{2},{3,4},{5}}
[3,5,4,1,2]=>[1,2,3,5,4]=>{{1},{2},{3},{4,5}}=>{{1},{2},{3},{4,5}}
[3,5,4,2,1]=>[1,2,3,5,4]=>{{1},{2},{3},{4,5}}=>{{1},{2},{3},{4,5}}
[4,1,2,3,5]=>[1,2,3,5,4]=>{{1},{2},{3},{4,5}}=>{{1},{2},{3},{4,5}}
[4,1,2,5,3]=>[1,2,5,3,4]=>{{1},{2},{3,4,5}}=>{{1},{2},{3,4,5}}
[4,1,3,2,5]=>[1,3,2,5,4]=>{{1},{2,3},{4,5}}=>{{1},{2,3},{4,5}}
[4,1,3,5,2]=>[1,3,5,2,4]=>{{1},{2,3,4,5}}=>{{1},{2,3,4,5}}
[4,1,5,2,3]=>[1,5,2,3,4]=>{{1},{2,3,4,5}}=>{{1},{2,3,4,5}}
[4,1,5,3,2]=>[1,5,2,3,4]=>{{1},{2,3,4,5}}=>{{1},{2,3,4,5}}
[4,2,1,3,5]=>[1,3,5,2,4]=>{{1},{2,3,4,5}}=>{{1},{2,3,4,5}}
[4,2,1,5,3]=>[1,5,2,3,4]=>{{1},{2,3,4,5}}=>{{1},{2,3,4,5}}
[4,2,3,1,5]=>[1,5,2,3,4]=>{{1},{2,3,4,5}}=>{{1},{2,3,4,5}}
[4,2,3,5,1]=>[1,2,3,5,4]=>{{1},{2},{3},{4,5}}=>{{1},{2},{3},{4,5}}
[4,2,5,1,3]=>[1,3,2,5,4]=>{{1},{2,3},{4,5}}=>{{1},{2,3},{4,5}}
[4,2,5,3,1]=>[1,2,5,3,4]=>{{1},{2},{3,4,5}}=>{{1},{2},{3,4,5}}
[4,3,1,2,5]=>[1,2,5,3,4]=>{{1},{2},{3,4,5}}=>{{1},{2},{3,4,5}}
[4,3,1,5,2]=>[1,5,2,3,4]=>{{1},{2,3,4,5}}=>{{1},{2,3,4,5}}
[4,3,2,1,5]=>[1,5,2,3,4]=>{{1},{2,3,4,5}}=>{{1},{2,3,4,5}}
[4,3,2,5,1]=>[1,2,5,3,4]=>{{1},{2},{3,4,5}}=>{{1},{2},{3,4,5}}
[4,3,5,1,2]=>[1,2,3,5,4]=>{{1},{2},{3},{4,5}}=>{{1},{2},{3},{4,5}}
[4,3,5,2,1]=>[1,2,3,5,4]=>{{1},{2},{3},{4,5}}=>{{1},{2},{3},{4,5}}
[4,5,1,2,3]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[4,5,1,3,2]=>[1,3,2,4,5]=>{{1},{2,3},{4},{5}}=>{{1},{2,3},{4},{5}}
[4,5,2,1,3]=>[1,3,2,4,5]=>{{1},{2,3},{4},{5}}=>{{1},{2,3},{4},{5}}
[4,5,2,3,1]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[4,5,3,1,2]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[4,5,3,2,1]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[5,1,2,3,4]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[5,1,2,4,3]=>[1,2,4,3,5]=>{{1},{2},{3,4},{5}}=>{{1},{2},{3,4},{5}}
[5,1,3,2,4]=>[1,3,2,4,5]=>{{1},{2,3},{4},{5}}=>{{1},{2,3},{4},{5}}
[5,1,3,4,2]=>[1,3,4,2,5]=>{{1},{2,3,4},{5}}=>{{1},{2,3,4},{5}}
[5,1,4,2,3]=>[1,4,2,3,5]=>{{1},{2,3,4},{5}}=>{{1},{2,3,4},{5}}
[5,1,4,3,2]=>[1,4,2,3,5]=>{{1},{2,3,4},{5}}=>{{1},{2,3,4},{5}}
[5,2,1,3,4]=>[1,3,4,2,5]=>{{1},{2,3,4},{5}}=>{{1},{2,3,4},{5}}
[5,2,1,4,3]=>[1,4,2,3,5]=>{{1},{2,3,4},{5}}=>{{1},{2,3,4},{5}}
[5,2,3,1,4]=>[1,4,2,3,5]=>{{1},{2,3,4},{5}}=>{{1},{2,3,4},{5}}
[5,2,3,4,1]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[5,2,4,1,3]=>[1,3,2,4,5]=>{{1},{2,3},{4},{5}}=>{{1},{2,3},{4},{5}}
[5,2,4,3,1]=>[1,2,4,3,5]=>{{1},{2},{3,4},{5}}=>{{1},{2},{3,4},{5}}
[5,3,1,2,4]=>[1,2,4,3,5]=>{{1},{2},{3,4},{5}}=>{{1},{2},{3,4},{5}}
[5,3,1,4,2]=>[1,4,2,3,5]=>{{1},{2,3,4},{5}}=>{{1},{2,3,4},{5}}
[5,3,2,1,4]=>[1,4,2,3,5]=>{{1},{2,3,4},{5}}=>{{1},{2,3,4},{5}}
[5,3,2,4,1]=>[1,2,4,3,5]=>{{1},{2},{3,4},{5}}=>{{1},{2},{3,4},{5}}
[5,3,4,1,2]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[5,3,4,2,1]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[5,4,1,2,3]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[5,4,1,3,2]=>[1,3,2,4,5]=>{{1},{2,3},{4},{5}}=>{{1},{2,3},{4},{5}}
[5,4,2,1,3]=>[1,3,2,4,5]=>{{1},{2,3},{4},{5}}=>{{1},{2,3},{4},{5}}
[5,4,2,3,1]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[5,4,3,1,2]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[5,4,3,2,1]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>{{1},{2},{3},{4},{5,6}}=>{{1},{2},{3},{4},{5,6}}
[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}}=>{{1},{2},{3},{4,5},{6}}
[1,2,3,5,6,4]=>[1,2,3,5,6,4]=>{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
[1,2,3,6,5,4]=>[1,2,3,6,4,5]=>{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}}
[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>{{1},{2},{3,4},{5,6}}=>{{1},{2},{3,4},{5,6}}
[1,2,4,5,3,6]=>[1,2,4,5,3,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[1,2,4,5,6,3]=>[1,2,4,5,6,3]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[1,2,4,6,3,5]=>[1,2,4,6,3,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[1,2,4,6,5,3]=>[1,2,4,6,3,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[1,2,5,3,6,4]=>[1,2,5,3,6,4]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[1,2,5,4,3,6]=>[1,2,5,3,6,4]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[1,2,5,4,6,3]=>[1,2,5,3,4,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[1,2,5,6,3,4]=>[1,2,5,6,3,4]=>{{1},{2},{3,5},{4,6}}=>{{1},{2},{3,6},{4,5}}
[1,2,5,6,4,3]=>[1,2,5,6,3,4]=>{{1},{2},{3,5},{4,6}}=>{{1},{2},{3,6},{4,5}}
[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[1,2,6,3,5,4]=>[1,2,6,3,5,4]=>{{1},{2},{3,4,6},{5}}=>{{1},{2},{3,4,6},{5}}
[1,2,6,4,3,5]=>[1,2,6,3,5,4]=>{{1},{2},{3,4,6},{5}}=>{{1},{2},{3,4,6},{5}}
[1,2,6,4,5,3]=>[1,2,6,3,4,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[1,2,6,5,3,4]=>[1,2,6,3,4,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[1,2,6,5,4,3]=>[1,2,6,3,4,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}}=>{{1},{2,3},{4},{5},{6}}
[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>{{1},{2,3},{4},{5,6}}=>{{1},{2,3},{4},{5,6}}
[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>{{1},{2,3},{4,5},{6}}=>{{1},{2,3},{4,5},{6}}
[1,3,2,5,6,4]=>[1,3,2,5,6,4]=>{{1},{2,3},{4,5,6}}=>{{1},{2,3},{4,5,6}}
[1,3,2,6,4,5]=>[1,3,2,6,4,5]=>{{1},{2,3},{4,5,6}}=>{{1},{2,3},{4,5,6}}
[1,3,2,6,5,4]=>[1,3,2,6,4,5]=>{{1},{2,3},{4,5,6}}=>{{1},{2,3},{4,5,6}}
[1,3,4,2,5,6]=>[1,3,4,2,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[1,3,4,2,6,5]=>[1,3,4,2,6,5]=>{{1},{2,3,4},{5,6}}=>{{1},{2,3,4},{5,6}}
[1,3,4,5,2,6]=>[1,3,4,5,2,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[1,3,4,5,6,2]=>[1,3,4,5,6,2]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[1,3,4,6,2,5]=>[1,3,4,6,2,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[1,3,4,6,5,2]=>[1,3,4,6,2,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[1,3,5,2,4,6]=>[1,3,5,2,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[1,3,5,2,6,4]=>[1,3,5,2,6,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[1,3,5,4,2,6]=>[1,3,5,2,6,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[1,3,5,4,6,2]=>[1,3,5,2,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[1,3,5,6,2,4]=>[1,3,5,6,2,4]=>{{1},{2,3,5},{4,6}}=>{{1},{2,3,6},{4,5}}
[1,3,5,6,4,2]=>[1,3,5,6,2,4]=>{{1},{2,3,5},{4,6}}=>{{1},{2,3,6},{4,5}}
[1,3,6,2,4,5]=>[1,3,6,2,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[1,3,6,2,5,4]=>[1,3,6,2,5,4]=>{{1},{2,3,4,6},{5}}=>{{1},{2,3,4,6},{5}}
[1,3,6,4,2,5]=>[1,3,6,2,5,4]=>{{1},{2,3,4,6},{5}}=>{{1},{2,3,4,6},{5}}
[1,3,6,4,5,2]=>[1,3,6,2,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[1,3,6,5,2,4]=>[1,3,6,2,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[1,3,6,5,4,2]=>[1,3,6,2,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[1,4,2,3,6,5]=>[1,4,2,3,6,5]=>{{1},{2,3,4},{5,6}}=>{{1},{2,3,4},{5,6}}
[1,4,2,5,3,6]=>[1,4,2,5,3,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[1,4,2,5,6,3]=>[1,4,2,5,6,3]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[1,4,2,6,3,5]=>[1,4,2,6,3,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[1,4,2,6,5,3]=>[1,4,2,6,3,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[1,4,3,2,5,6]=>[1,4,2,5,6,3]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[1,4,3,2,6,5]=>[1,4,2,6,3,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[1,4,3,5,2,6]=>[1,4,2,6,3,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[1,4,3,5,6,2]=>[1,4,2,3,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[1,4,3,6,2,5]=>[1,4,2,5,3,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[1,4,3,6,5,2]=>[1,4,2,3,6,5]=>{{1},{2,3,4},{5,6}}=>{{1},{2,3,4},{5,6}}
[1,4,5,2,3,6]=>[1,4,5,2,3,6]=>{{1},{2,4},{3,5},{6}}=>{{1},{2,5},{3,4},{6}}
[1,4,5,2,6,3]=>[1,4,5,2,6,3]=>{{1},{2,4},{3,5,6}}=>{{1},{2,5,6},{3,4}}
[1,4,5,3,2,6]=>[1,4,5,2,6,3]=>{{1},{2,4},{3,5,6}}=>{{1},{2,5,6},{3,4}}
[1,4,5,3,6,2]=>[1,4,5,2,3,6]=>{{1},{2,4},{3,5},{6}}=>{{1},{2,5},{3,4},{6}}
[1,4,5,6,2,3]=>[1,4,5,6,2,3]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[1,4,5,6,3,2]=>[1,4,5,6,2,3]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[1,4,6,2,3,5]=>[1,4,6,2,3,5]=>{{1},{2,4},{3,5,6}}=>{{1},{2,5,6},{3,4}}
[1,4,6,2,5,3]=>[1,4,6,2,5,3]=>{{1},{2,4},{3,6},{5}}=>{{1},{2,6},{3,4},{5}}
[1,4,6,3,2,5]=>[1,4,6,2,5,3]=>{{1},{2,4},{3,6},{5}}=>{{1},{2,6},{3,4},{5}}
[1,4,6,3,5,2]=>[1,4,6,2,3,5]=>{{1},{2,4},{3,5,6}}=>{{1},{2,5,6},{3,4}}
[1,4,6,5,2,3]=>[1,4,6,2,3,5]=>{{1},{2,4},{3,5,6}}=>{{1},{2,5,6},{3,4}}
[1,4,6,5,3,2]=>[1,4,6,2,3,5]=>{{1},{2,4},{3,5,6}}=>{{1},{2,5,6},{3,4}}
[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[1,5,2,3,6,4]=>[1,5,2,3,6,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[1,5,2,4,3,6]=>[1,5,2,4,3,6]=>{{1},{2,3,5},{4},{6}}=>{{1},{2,3,5},{4},{6}}
[1,5,2,4,6,3]=>[1,5,2,4,6,3]=>{{1},{2,3,5,6},{4}}=>{{1},{2,3,5,6},{4}}
[1,5,2,6,3,4]=>[1,5,2,6,3,4]=>{{1},{2,3,5},{4,6}}=>{{1},{2,3,6},{4,5}}
[1,5,2,6,4,3]=>[1,5,2,6,3,4]=>{{1},{2,3,5},{4,6}}=>{{1},{2,3,6},{4,5}}
[1,5,3,2,4,6]=>[1,5,2,4,6,3]=>{{1},{2,3,5,6},{4}}=>{{1},{2,3,5,6},{4}}
[1,5,3,2,6,4]=>[1,5,2,6,3,4]=>{{1},{2,3,5},{4,6}}=>{{1},{2,3,6},{4,5}}
[1,5,3,4,2,6]=>[1,5,2,6,3,4]=>{{1},{2,3,5},{4,6}}=>{{1},{2,3,6},{4,5}}
[1,5,3,4,6,2]=>[1,5,2,3,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[1,5,3,6,2,4]=>[1,5,2,4,3,6]=>{{1},{2,3,5},{4},{6}}=>{{1},{2,3,5},{4},{6}}
[1,5,3,6,4,2]=>[1,5,2,3,6,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[1,5,4,2,3,6]=>[1,5,2,3,6,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[1,5,4,2,6,3]=>[1,5,2,6,3,4]=>{{1},{2,3,5},{4,6}}=>{{1},{2,3,6},{4,5}}
[1,5,4,3,2,6]=>[1,5,2,6,3,4]=>{{1},{2,3,5},{4,6}}=>{{1},{2,3,6},{4,5}}
[1,5,4,3,6,2]=>[1,5,2,3,6,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[1,5,4,6,2,3]=>[1,5,2,3,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[1,5,4,6,3,2]=>[1,5,2,3,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[1,5,6,2,3,4]=>[1,5,6,2,3,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[1,5,6,2,4,3]=>[1,5,6,2,4,3]=>{{1},{2,4,5},{3,6}}=>{{1},{2,5},{3,4,6}}
[1,5,6,3,2,4]=>[1,5,6,2,4,3]=>{{1},{2,4,5},{3,6}}=>{{1},{2,5},{3,4,6}}
[1,5,6,3,4,2]=>[1,5,6,2,3,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[1,5,6,4,2,3]=>[1,5,6,2,3,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[1,5,6,4,3,2]=>[1,5,6,2,3,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[1,6,2,3,5,4]=>[1,6,2,3,5,4]=>{{1},{2,3,4,6},{5}}=>{{1},{2,3,4,6},{5}}
[1,6,2,4,3,5]=>[1,6,2,4,3,5]=>{{1},{2,3,5,6},{4}}=>{{1},{2,3,5,6},{4}}
[1,6,2,4,5,3]=>[1,6,2,4,5,3]=>{{1},{2,3,6},{4},{5}}=>{{1},{2,3,6},{4},{5}}
[1,6,2,5,3,4]=>[1,6,2,5,3,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[1,6,2,5,4,3]=>[1,6,2,5,3,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[1,6,3,2,4,5]=>[1,6,2,4,5,3]=>{{1},{2,3,6},{4},{5}}=>{{1},{2,3,6},{4},{5}}
[1,6,3,2,5,4]=>[1,6,2,5,3,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[1,6,3,4,2,5]=>[1,6,2,5,3,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[1,6,3,4,5,2]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[1,6,3,5,2,4]=>[1,6,2,4,3,5]=>{{1},{2,3,5,6},{4}}=>{{1},{2,3,5,6},{4}}
[1,6,3,5,4,2]=>[1,6,2,3,5,4]=>{{1},{2,3,4,6},{5}}=>{{1},{2,3,4,6},{5}}
[1,6,4,2,3,5]=>[1,6,2,3,5,4]=>{{1},{2,3,4,6},{5}}=>{{1},{2,3,4,6},{5}}
[1,6,4,2,5,3]=>[1,6,2,5,3,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[1,6,4,3,2,5]=>[1,6,2,5,3,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[1,6,4,3,5,2]=>[1,6,2,3,5,4]=>{{1},{2,3,4,6},{5}}=>{{1},{2,3,4,6},{5}}
[1,6,4,5,2,3]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[1,6,4,5,3,2]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[1,6,5,2,3,4]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[1,6,5,2,4,3]=>[1,6,2,4,3,5]=>{{1},{2,3,5,6},{4}}=>{{1},{2,3,5,6},{4}}
[1,6,5,3,2,4]=>[1,6,2,4,3,5]=>{{1},{2,3,5,6},{4}}=>{{1},{2,3,5,6},{4}}
[1,6,5,3,4,2]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[1,6,5,4,2,3]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[1,6,5,4,3,2]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[2,1,3,4,5,6]=>[1,3,4,5,6,2]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[2,1,3,4,6,5]=>[1,3,4,6,2,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[2,1,3,5,4,6]=>[1,3,5,2,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[2,1,3,5,6,4]=>[1,3,5,6,2,4]=>{{1},{2,3,5},{4,6}}=>{{1},{2,3,6},{4,5}}
[2,1,3,6,4,5]=>[1,3,6,2,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[2,1,3,6,5,4]=>[1,3,6,2,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[2,1,4,3,5,6]=>[1,4,2,3,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[2,1,4,3,6,5]=>[1,4,2,3,6,5]=>{{1},{2,3,4},{5,6}}=>{{1},{2,3,4},{5,6}}
[2,1,4,5,3,6]=>[1,4,5,2,3,6]=>{{1},{2,4},{3,5},{6}}=>{{1},{2,5},{3,4},{6}}
[2,1,4,5,6,3]=>[1,4,5,6,2,3]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[2,1,4,6,3,5]=>[1,4,6,2,3,5]=>{{1},{2,4},{3,5,6}}=>{{1},{2,5,6},{3,4}}
[2,1,4,6,5,3]=>[1,4,6,2,3,5]=>{{1},{2,4},{3,5,6}}=>{{1},{2,5,6},{3,4}}
[2,1,5,3,4,6]=>[1,5,2,3,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[2,1,5,3,6,4]=>[1,5,2,3,6,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[2,1,5,4,3,6]=>[1,5,2,3,6,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[2,1,5,4,6,3]=>[1,5,2,3,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[2,1,5,6,3,4]=>[1,5,6,2,3,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[2,1,5,6,4,3]=>[1,5,6,2,3,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[2,1,6,3,4,5]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[2,1,6,3,5,4]=>[1,6,2,3,5,4]=>{{1},{2,3,4,6},{5}}=>{{1},{2,3,4,6},{5}}
[2,1,6,4,3,5]=>[1,6,2,3,5,4]=>{{1},{2,3,4,6},{5}}=>{{1},{2,3,4,6},{5}}
[2,1,6,4,5,3]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[2,1,6,5,3,4]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[2,1,6,5,4,3]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[2,3,1,4,5,6]=>[1,4,5,6,2,3]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[2,3,1,4,6,5]=>[1,4,6,2,3,5]=>{{1},{2,4},{3,5,6}}=>{{1},{2,5,6},{3,4}}
[2,3,1,5,4,6]=>[1,5,2,3,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[2,3,1,5,6,4]=>[1,5,6,2,3,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[2,3,1,6,4,5]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[2,3,1,6,5,4]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[2,3,4,1,5,6]=>[1,5,6,2,3,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[2,3,4,1,6,5]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[2,3,4,5,1,6]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[2,3,4,5,6,1]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[2,3,4,6,1,5]=>[1,5,2,3,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[2,3,4,6,5,1]=>[1,2,3,4,6,5]=>{{1},{2},{3},{4},{5,6}}=>{{1},{2},{3},{4},{5,6}}
[2,3,5,1,4,6]=>[1,4,6,2,3,5]=>{{1},{2,4},{3,5,6}}=>{{1},{2,5,6},{3,4}}
[2,3,5,1,6,4]=>[1,6,2,3,5,4]=>{{1},{2,3,4,6},{5}}=>{{1},{2,3,4,6},{5}}
[2,3,5,4,1,6]=>[1,6,2,3,5,4]=>{{1},{2,3,4,6},{5}}=>{{1},{2,3,4,6},{5}}
[2,3,5,4,6,1]=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}}=>{{1},{2},{3},{4,5},{6}}
[2,3,5,6,1,4]=>[1,4,2,3,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[2,3,5,6,4,1]=>[1,2,3,5,6,4]=>{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
[2,3,6,1,4,5]=>[1,4,5,2,3,6]=>{{1},{2,4},{3,5},{6}}=>{{1},{2,5},{3,4},{6}}
[2,3,6,1,5,4]=>[1,5,2,3,6,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[2,3,6,4,1,5]=>[1,5,2,3,6,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[2,3,6,4,5,1]=>[1,2,3,6,4,5]=>{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
[2,3,6,5,1,4]=>[1,4,2,3,6,5]=>{{1},{2,3,4},{5,6}}=>{{1},{2,3,4},{5,6}}
[2,3,6,5,4,1]=>[1,2,3,6,4,5]=>{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
[2,4,1,3,5,6]=>[1,3,5,6,2,4]=>{{1},{2,3,5},{4,6}}=>{{1},{2,3,6},{4,5}}
[2,4,1,3,6,5]=>[1,3,6,2,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[2,4,1,5,3,6]=>[1,5,2,4,3,6]=>{{1},{2,3,5},{4},{6}}=>{{1},{2,3,5},{4},{6}}
[2,4,1,5,6,3]=>[1,5,6,2,4,3]=>{{1},{2,4,5},{3,6}}=>{{1},{2,5},{3,4,6}}
[2,4,1,6,3,5]=>[1,6,2,4,3,5]=>{{1},{2,3,5,6},{4}}=>{{1},{2,3,5,6},{4}}
[2,4,1,6,5,3]=>[1,6,2,4,3,5]=>{{1},{2,3,5,6},{4}}=>{{1},{2,3,5,6},{4}}
[2,4,3,1,5,6]=>[1,5,6,2,4,3]=>{{1},{2,4,5},{3,6}}=>{{1},{2,5},{3,4,6}}
[2,4,3,1,6,5]=>[1,6,2,4,3,5]=>{{1},{2,3,5,6},{4}}=>{{1},{2,3,5,6},{4}}
[2,4,3,5,1,6]=>[1,6,2,4,3,5]=>{{1},{2,3,5,6},{4}}=>{{1},{2,3,5,6},{4}}
[2,4,3,5,6,1]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}}
[2,4,3,6,1,5]=>[1,5,2,4,3,6]=>{{1},{2,3,5},{4},{6}}=>{{1},{2,3,5},{4},{6}}
[2,4,3,6,5,1]=>[1,2,4,3,6,5]=>{{1},{2},{3,4},{5,6}}=>{{1},{2},{3,4},{5,6}}
[2,4,5,1,3,6]=>[1,3,6,2,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[2,4,5,1,6,3]=>[1,6,2,4,5,3]=>{{1},{2,3,6},{4},{5}}=>{{1},{2,3,6},{4},{5}}
[2,4,5,3,1,6]=>[1,6,2,4,5,3]=>{{1},{2,3,6},{4},{5}}=>{{1},{2,3,6},{4},{5}}
[2,4,5,3,6,1]=>[1,2,4,5,3,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[2,4,5,6,1,3]=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}}=>{{1},{2,3},{4},{5},{6}}
[2,4,5,6,3,1]=>[1,2,4,5,6,3]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[2,4,6,1,3,5]=>[1,3,5,2,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[2,4,6,1,5,3]=>[1,5,2,4,6,3]=>{{1},{2,3,5,6},{4}}=>{{1},{2,3,5,6},{4}}
[2,4,6,3,1,5]=>[1,5,2,4,6,3]=>{{1},{2,3,5,6},{4}}=>{{1},{2,3,5,6},{4}}
[2,4,6,3,5,1]=>[1,2,4,6,3,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[2,4,6,5,1,3]=>[1,3,2,4,6,5]=>{{1},{2,3},{4},{5,6}}=>{{1},{2,3},{4},{5,6}}
[2,4,6,5,3,1]=>[1,2,4,6,3,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[2,5,1,3,4,6]=>[1,3,4,6,2,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[2,5,1,3,6,4]=>[1,3,6,2,5,4]=>{{1},{2,3,4,6},{5}}=>{{1},{2,3,4,6},{5}}
[2,5,1,4,3,6]=>[1,4,2,5,3,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[2,5,1,4,6,3]=>[1,4,6,2,5,3]=>{{1},{2,4},{3,6},{5}}=>{{1},{2,6},{3,4},{5}}
[2,5,1,6,3,4]=>[1,6,2,5,3,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[2,5,1,6,4,3]=>[1,6,2,5,3,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[2,5,3,1,4,6]=>[1,4,6,2,5,3]=>{{1},{2,4},{3,6},{5}}=>{{1},{2,6},{3,4},{5}}
[2,5,3,1,6,4]=>[1,6,2,5,3,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[2,5,3,4,1,6]=>[1,6,2,5,3,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[2,5,3,4,6,1]=>[1,2,5,3,4,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[2,5,3,6,1,4]=>[1,4,2,5,3,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[2,5,3,6,4,1]=>[1,2,5,3,6,4]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[2,5,4,1,3,6]=>[1,3,6,2,5,4]=>{{1},{2,3,4,6},{5}}=>{{1},{2,3,4,6},{5}}
[2,5,4,1,6,3]=>[1,6,2,5,3,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[2,5,4,3,1,6]=>[1,6,2,5,3,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[2,5,4,3,6,1]=>[1,2,5,3,6,4]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[2,5,4,6,1,3]=>[1,3,2,5,4,6]=>{{1},{2,3},{4,5},{6}}=>{{1},{2,3},{4,5},{6}}
[2,5,4,6,3,1]=>[1,2,5,3,4,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[2,5,6,1,3,4]=>[1,3,4,2,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[2,5,6,1,4,3]=>[1,4,2,5,6,3]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[2,5,6,3,1,4]=>[1,4,2,5,6,3]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[2,5,6,3,4,1]=>[1,2,5,6,3,4]=>{{1},{2},{3,5},{4,6}}=>{{1},{2},{3,6},{4,5}}
[2,5,6,4,1,3]=>[1,3,2,5,6,4]=>{{1},{2,3},{4,5,6}}=>{{1},{2,3},{4,5,6}}
[2,5,6,4,3,1]=>[1,2,5,6,3,4]=>{{1},{2},{3,5},{4,6}}=>{{1},{2},{3,6},{4,5}}
[2,6,1,3,4,5]=>[1,3,4,5,2,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[2,6,1,3,5,4]=>[1,3,5,2,6,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[2,6,1,4,3,5]=>[1,4,2,6,3,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[2,6,1,4,5,3]=>[1,4,5,2,6,3]=>{{1},{2,4},{3,5,6}}=>{{1},{2,5,6},{3,4}}
[2,6,1,5,3,4]=>[1,5,2,6,3,4]=>{{1},{2,3,5},{4,6}}=>{{1},{2,3,6},{4,5}}
[2,6,1,5,4,3]=>[1,5,2,6,3,4]=>{{1},{2,3,5},{4,6}}=>{{1},{2,3,6},{4,5}}
[2,6,3,1,4,5]=>[1,4,5,2,6,3]=>{{1},{2,4},{3,5,6}}=>{{1},{2,5,6},{3,4}}
[2,6,3,1,5,4]=>[1,5,2,6,3,4]=>{{1},{2,3,5},{4,6}}=>{{1},{2,3,6},{4,5}}
[2,6,3,4,1,5]=>[1,5,2,6,3,4]=>{{1},{2,3,5},{4,6}}=>{{1},{2,3,6},{4,5}}
[2,6,3,4,5,1]=>[1,2,6,3,4,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[2,6,3,5,1,4]=>[1,4,2,6,3,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[2,6,3,5,4,1]=>[1,2,6,3,5,4]=>{{1},{2},{3,4,6},{5}}=>{{1},{2},{3,4,6},{5}}
[2,6,4,1,3,5]=>[1,3,5,2,6,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[2,6,4,1,5,3]=>[1,5,2,6,3,4]=>{{1},{2,3,5},{4,6}}=>{{1},{2,3,6},{4,5}}
[2,6,4,3,1,5]=>[1,5,2,6,3,4]=>{{1},{2,3,5},{4,6}}=>{{1},{2,3,6},{4,5}}
[2,6,4,3,5,1]=>[1,2,6,3,5,4]=>{{1},{2},{3,4,6},{5}}=>{{1},{2},{3,4,6},{5}}
[2,6,4,5,1,3]=>[1,3,2,6,4,5]=>{{1},{2,3},{4,5,6}}=>{{1},{2,3},{4,5,6}}
[2,6,4,5,3,1]=>[1,2,6,3,4,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[2,6,5,1,3,4]=>[1,3,4,2,6,5]=>{{1},{2,3,4},{5,6}}=>{{1},{2,3,4},{5,6}}
[2,6,5,1,4,3]=>[1,4,2,6,3,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[2,6,5,3,1,4]=>[1,4,2,6,3,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[2,6,5,3,4,1]=>[1,2,6,3,4,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[2,6,5,4,1,3]=>[1,3,2,6,4,5]=>{{1},{2,3},{4,5,6}}=>{{1},{2,3},{4,5,6}}
[2,6,5,4,3,1]=>[1,2,6,3,4,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[3,1,2,4,5,6]=>[1,2,4,5,6,3]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[3,1,2,4,6,5]=>[1,2,4,6,3,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[3,1,2,5,4,6]=>[1,2,5,3,4,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[3,1,2,5,6,4]=>[1,2,5,6,3,4]=>{{1},{2},{3,5},{4,6}}=>{{1},{2},{3,6},{4,5}}
[3,1,2,6,4,5]=>[1,2,6,3,4,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[3,1,2,6,5,4]=>[1,2,6,3,4,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[3,1,4,2,5,6]=>[1,4,2,5,6,3]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[3,1,4,2,6,5]=>[1,4,2,6,3,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[3,1,4,5,2,6]=>[1,4,5,2,6,3]=>{{1},{2,4},{3,5,6}}=>{{1},{2,5,6},{3,4}}
[3,1,4,5,6,2]=>[1,4,5,6,2,3]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[3,1,4,6,2,5]=>[1,4,6,2,5,3]=>{{1},{2,4},{3,6},{5}}=>{{1},{2,6},{3,4},{5}}
[3,1,4,6,5,2]=>[1,4,6,2,3,5]=>{{1},{2,4},{3,5,6}}=>{{1},{2,5,6},{3,4}}
[3,1,5,2,4,6]=>[1,5,2,4,6,3]=>{{1},{2,3,5,6},{4}}=>{{1},{2,3,5,6},{4}}
[3,1,5,2,6,4]=>[1,5,2,6,3,4]=>{{1},{2,3,5},{4,6}}=>{{1},{2,3,6},{4,5}}
[3,1,5,4,2,6]=>[1,5,2,6,3,4]=>{{1},{2,3,5},{4,6}}=>{{1},{2,3,6},{4,5}}
[3,1,5,4,6,2]=>[1,5,2,3,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[3,1,5,6,2,4]=>[1,5,6,2,4,3]=>{{1},{2,4,5},{3,6}}=>{{1},{2,5},{3,4,6}}
[3,1,5,6,4,2]=>[1,5,6,2,3,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[3,1,6,2,4,5]=>[1,6,2,4,5,3]=>{{1},{2,3,6},{4},{5}}=>{{1},{2,3,6},{4},{5}}
[3,1,6,2,5,4]=>[1,6,2,5,3,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[3,1,6,4,2,5]=>[1,6,2,5,3,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[3,1,6,4,5,2]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[3,1,6,5,2,4]=>[1,6,2,4,3,5]=>{{1},{2,3,5,6},{4}}=>{{1},{2,3,5,6},{4}}
[3,1,6,5,4,2]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[3,2,1,4,5,6]=>[1,4,5,6,2,3]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[3,2,1,4,6,5]=>[1,4,6,2,3,5]=>{{1},{2,4},{3,5,6}}=>{{1},{2,5,6},{3,4}}
[3,2,1,5,4,6]=>[1,5,2,3,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[3,2,1,5,6,4]=>[1,5,6,2,3,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[3,2,1,6,4,5]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[3,2,1,6,5,4]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[3,2,4,1,5,6]=>[1,5,6,2,4,3]=>{{1},{2,4,5},{3,6}}=>{{1},{2,5},{3,4,6}}
[3,2,4,1,6,5]=>[1,6,2,4,3,5]=>{{1},{2,3,5,6},{4}}=>{{1},{2,3,5,6},{4}}
[3,2,4,5,1,6]=>[1,6,2,4,5,3]=>{{1},{2,3,6},{4},{5}}=>{{1},{2,3,6},{4},{5}}
[3,2,4,5,6,1]=>[1,2,4,5,6,3]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[3,2,4,6,1,5]=>[1,5,2,4,6,3]=>{{1},{2,3,5,6},{4}}=>{{1},{2,3,5,6},{4}}
[3,2,4,6,5,1]=>[1,2,4,6,3,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[3,2,5,1,4,6]=>[1,4,6,2,5,3]=>{{1},{2,4},{3,6},{5}}=>{{1},{2,6},{3,4},{5}}
[3,2,5,1,6,4]=>[1,6,2,5,3,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[3,2,5,4,1,6]=>[1,6,2,5,3,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[3,2,5,4,6,1]=>[1,2,5,3,4,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[3,2,5,6,1,4]=>[1,4,2,5,6,3]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[3,2,5,6,4,1]=>[1,2,5,6,3,4]=>{{1},{2},{3,5},{4,6}}=>{{1},{2},{3,6},{4,5}}
[3,2,6,1,4,5]=>[1,4,5,2,6,3]=>{{1},{2,4},{3,5,6}}=>{{1},{2,5,6},{3,4}}
[3,2,6,1,5,4]=>[1,5,2,6,3,4]=>{{1},{2,3,5},{4,6}}=>{{1},{2,3,6},{4,5}}
[3,2,6,4,1,5]=>[1,5,2,6,3,4]=>{{1},{2,3,5},{4,6}}=>{{1},{2,3,6},{4,5}}
[3,2,6,4,5,1]=>[1,2,6,3,4,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[3,2,6,5,1,4]=>[1,4,2,6,3,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[3,2,6,5,4,1]=>[1,2,6,3,4,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[3,4,1,2,5,6]=>[1,2,5,6,3,4]=>{{1},{2},{3,5},{4,6}}=>{{1},{2},{3,6},{4,5}}
[3,4,1,2,6,5]=>[1,2,6,3,4,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[3,4,1,5,2,6]=>[1,5,2,6,3,4]=>{{1},{2,3,5},{4,6}}=>{{1},{2,3,6},{4,5}}
[3,4,1,5,6,2]=>[1,5,6,2,3,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[3,4,1,6,2,5]=>[1,6,2,5,3,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[3,4,1,6,5,2]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[3,4,2,1,5,6]=>[1,5,6,2,3,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[3,4,2,1,6,5]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[3,4,2,5,1,6]=>[1,6,2,5,3,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[3,4,2,5,6,1]=>[1,2,5,6,3,4]=>{{1},{2},{3,5},{4,6}}=>{{1},{2},{3,6},{4,5}}
[3,4,2,6,1,5]=>[1,5,2,6,3,4]=>{{1},{2,3,5},{4,6}}=>{{1},{2,3,6},{4,5}}
[3,4,2,6,5,1]=>[1,2,6,3,4,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[3,4,5,1,2,6]=>[1,2,6,3,4,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[3,4,5,1,6,2]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[3,4,5,2,1,6]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[3,4,5,2,6,1]=>[1,2,6,3,4,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[3,4,5,6,1,2]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[3,4,5,6,2,1]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[3,4,6,1,2,5]=>[1,2,5,3,4,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[3,4,6,1,5,2]=>[1,5,2,3,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[3,4,6,2,1,5]=>[1,5,2,3,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[3,4,6,2,5,1]=>[1,2,5,3,4,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[3,4,6,5,1,2]=>[1,2,3,4,6,5]=>{{1},{2},{3},{4},{5,6}}=>{{1},{2},{3},{4},{5,6}}
[3,4,6,5,2,1]=>[1,2,3,4,6,5]=>{{1},{2},{3},{4},{5,6}}=>{{1},{2},{3},{4},{5,6}}
[3,5,1,2,4,6]=>[1,2,4,6,3,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[3,5,1,2,6,4]=>[1,2,6,3,5,4]=>{{1},{2},{3,4,6},{5}}=>{{1},{2},{3,4,6},{5}}
[3,5,1,4,2,6]=>[1,4,2,6,3,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[3,5,1,4,6,2]=>[1,4,6,2,3,5]=>{{1},{2,4},{3,5,6}}=>{{1},{2,5,6},{3,4}}
[3,5,1,6,2,4]=>[1,6,2,4,3,5]=>{{1},{2,3,5,6},{4}}=>{{1},{2,3,5,6},{4}}
[3,5,1,6,4,2]=>[1,6,2,3,5,4]=>{{1},{2,3,4,6},{5}}=>{{1},{2,3,4,6},{5}}
[3,5,2,1,4,6]=>[1,4,6,2,3,5]=>{{1},{2,4},{3,5,6}}=>{{1},{2,5,6},{3,4}}
[3,5,2,1,6,4]=>[1,6,2,3,5,4]=>{{1},{2,3,4,6},{5}}=>{{1},{2,3,4,6},{5}}
[3,5,2,4,1,6]=>[1,6,2,4,3,5]=>{{1},{2,3,5,6},{4}}=>{{1},{2,3,5,6},{4}}
[3,5,2,4,6,1]=>[1,2,4,6,3,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[3,5,2,6,1,4]=>[1,4,2,6,3,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[3,5,2,6,4,1]=>[1,2,6,3,5,4]=>{{1},{2},{3,4,6},{5}}=>{{1},{2},{3,4,6},{5}}
[3,5,4,1,2,6]=>[1,2,6,3,5,4]=>{{1},{2},{3,4,6},{5}}=>{{1},{2},{3,4,6},{5}}
[3,5,4,1,6,2]=>[1,6,2,3,5,4]=>{{1},{2,3,4,6},{5}}=>{{1},{2,3,4,6},{5}}
[3,5,4,2,1,6]=>[1,6,2,3,5,4]=>{{1},{2,3,4,6},{5}}=>{{1},{2,3,4,6},{5}}
[3,5,4,2,6,1]=>[1,2,6,3,5,4]=>{{1},{2},{3,4,6},{5}}=>{{1},{2},{3,4,6},{5}}
[3,5,4,6,1,2]=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}}=>{{1},{2},{3},{4,5},{6}}
[3,5,4,6,2,1]=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}}=>{{1},{2},{3},{4,5},{6}}
[3,5,6,1,2,4]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}}
[3,5,6,1,4,2]=>[1,4,2,3,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[3,5,6,2,1,4]=>[1,4,2,3,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[3,5,6,2,4,1]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}}
[3,5,6,4,1,2]=>[1,2,3,5,6,4]=>{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
[3,5,6,4,2,1]=>[1,2,3,5,6,4]=>{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
[3,6,1,2,4,5]=>[1,2,4,5,3,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[3,6,1,2,5,4]=>[1,2,5,3,6,4]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[3,6,1,4,2,5]=>[1,4,2,5,3,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[3,6,1,4,5,2]=>[1,4,5,2,3,6]=>{{1},{2,4},{3,5},{6}}=>{{1},{2,5},{3,4},{6}}
[3,6,1,5,2,4]=>[1,5,2,4,3,6]=>{{1},{2,3,5},{4},{6}}=>{{1},{2,3,5},{4},{6}}
[3,6,1,5,4,2]=>[1,5,2,3,6,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[3,6,2,1,4,5]=>[1,4,5,2,3,6]=>{{1},{2,4},{3,5},{6}}=>{{1},{2,5},{3,4},{6}}
[3,6,2,1,5,4]=>[1,5,2,3,6,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[3,6,2,4,1,5]=>[1,5,2,4,3,6]=>{{1},{2,3,5},{4},{6}}=>{{1},{2,3,5},{4},{6}}
[3,6,2,4,5,1]=>[1,2,4,5,3,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[3,6,2,5,1,4]=>[1,4,2,5,3,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[3,6,2,5,4,1]=>[1,2,5,3,6,4]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[3,6,4,1,2,5]=>[1,2,5,3,6,4]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[3,6,4,1,5,2]=>[1,5,2,3,6,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[3,6,4,2,1,5]=>[1,5,2,3,6,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[3,6,4,2,5,1]=>[1,2,5,3,6,4]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[3,6,4,5,1,2]=>[1,2,3,6,4,5]=>{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
[3,6,4,5,2,1]=>[1,2,3,6,4,5]=>{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
[3,6,5,1,2,4]=>[1,2,4,3,6,5]=>{{1},{2},{3,4},{5,6}}=>{{1},{2},{3,4},{5,6}}
[3,6,5,1,4,2]=>[1,4,2,3,6,5]=>{{1},{2,3,4},{5,6}}=>{{1},{2,3,4},{5,6}}
[3,6,5,2,1,4]=>[1,4,2,3,6,5]=>{{1},{2,3,4},{5,6}}=>{{1},{2,3,4},{5,6}}
[3,6,5,2,4,1]=>[1,2,4,3,6,5]=>{{1},{2},{3,4},{5,6}}=>{{1},{2},{3,4},{5,6}}
[3,6,5,4,1,2]=>[1,2,3,6,4,5]=>{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
[3,6,5,4,2,1]=>[1,2,3,6,4,5]=>{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
[4,1,2,3,5,6]=>[1,2,3,5,6,4]=>{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
[4,1,2,3,6,5]=>[1,2,3,6,4,5]=>{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
[4,1,2,5,3,6]=>[1,2,5,3,6,4]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[4,1,2,5,6,3]=>[1,2,5,6,3,4]=>{{1},{2},{3,5},{4,6}}=>{{1},{2},{3,6},{4,5}}
[4,1,2,6,3,5]=>[1,2,6,3,5,4]=>{{1},{2},{3,4,6},{5}}=>{{1},{2},{3,4,6},{5}}
[4,1,2,6,5,3]=>[1,2,6,3,4,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[4,1,3,2,5,6]=>[1,3,2,5,6,4]=>{{1},{2,3},{4,5,6}}=>{{1},{2,3},{4,5,6}}
[4,1,3,2,6,5]=>[1,3,2,6,4,5]=>{{1},{2,3},{4,5,6}}=>{{1},{2,3},{4,5,6}}
[4,1,3,5,2,6]=>[1,3,5,2,6,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[4,1,3,5,6,2]=>[1,3,5,6,2,4]=>{{1},{2,3,5},{4,6}}=>{{1},{2,3,6},{4,5}}
[4,1,3,6,2,5]=>[1,3,6,2,5,4]=>{{1},{2,3,4,6},{5}}=>{{1},{2,3,4,6},{5}}
[4,1,3,6,5,2]=>[1,3,6,2,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[4,1,5,2,3,6]=>[1,5,2,3,6,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[4,1,5,2,6,3]=>[1,5,2,6,3,4]=>{{1},{2,3,5},{4,6}}=>{{1},{2,3,6},{4,5}}
[4,1,5,3,2,6]=>[1,5,2,6,3,4]=>{{1},{2,3,5},{4,6}}=>{{1},{2,3,6},{4,5}}
[4,1,5,3,6,2]=>[1,5,2,3,6,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[4,1,5,6,2,3]=>[1,5,6,2,3,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[4,1,5,6,3,2]=>[1,5,6,2,3,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[4,1,6,2,3,5]=>[1,6,2,3,5,4]=>{{1},{2,3,4,6},{5}}=>{{1},{2,3,4,6},{5}}
[4,1,6,2,5,3]=>[1,6,2,5,3,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[4,1,6,3,2,5]=>[1,6,2,5,3,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[4,1,6,3,5,2]=>[1,6,2,3,5,4]=>{{1},{2,3,4,6},{5}}=>{{1},{2,3,4,6},{5}}
[4,1,6,5,2,3]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[4,1,6,5,3,2]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[4,2,1,3,5,6]=>[1,3,5,6,2,4]=>{{1},{2,3,5},{4,6}}=>{{1},{2,3,6},{4,5}}
[4,2,1,3,6,5]=>[1,3,6,2,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[4,2,1,5,3,6]=>[1,5,2,3,6,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[4,2,1,5,6,3]=>[1,5,6,2,3,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[4,2,1,6,3,5]=>[1,6,2,3,5,4]=>{{1},{2,3,4,6},{5}}=>{{1},{2,3,4,6},{5}}
[4,2,1,6,5,3]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[4,2,3,1,5,6]=>[1,5,6,2,3,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[4,2,3,1,6,5]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[4,2,3,5,1,6]=>[1,6,2,3,5,4]=>{{1},{2,3,4,6},{5}}=>{{1},{2,3,4,6},{5}}
[4,2,3,5,6,1]=>[1,2,3,5,6,4]=>{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
[4,2,3,6,1,5]=>[1,5,2,3,6,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[4,2,3,6,5,1]=>[1,2,3,6,4,5]=>{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
[4,2,5,1,3,6]=>[1,3,6,2,5,4]=>{{1},{2,3,4,6},{5}}=>{{1},{2,3,4,6},{5}}
[4,2,5,1,6,3]=>[1,6,2,5,3,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[4,2,5,3,1,6]=>[1,6,2,5,3,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[4,2,5,3,6,1]=>[1,2,5,3,6,4]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[4,2,5,6,1,3]=>[1,3,2,5,6,4]=>{{1},{2,3},{4,5,6}}=>{{1},{2,3},{4,5,6}}
[4,2,5,6,3,1]=>[1,2,5,6,3,4]=>{{1},{2},{3,5},{4,6}}=>{{1},{2},{3,6},{4,5}}
[4,2,6,1,3,5]=>[1,3,5,2,6,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[4,2,6,1,5,3]=>[1,5,2,6,3,4]=>{{1},{2,3,5},{4,6}}=>{{1},{2,3,6},{4,5}}
[4,2,6,3,1,5]=>[1,5,2,6,3,4]=>{{1},{2,3,5},{4,6}}=>{{1},{2,3,6},{4,5}}
[4,2,6,3,5,1]=>[1,2,6,3,5,4]=>{{1},{2},{3,4,6},{5}}=>{{1},{2},{3,4,6},{5}}
[4,2,6,5,1,3]=>[1,3,2,6,4,5]=>{{1},{2,3},{4,5,6}}=>{{1},{2,3},{4,5,6}}
[4,2,6,5,3,1]=>[1,2,6,3,4,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[4,3,1,2,5,6]=>[1,2,5,6,3,4]=>{{1},{2},{3,5},{4,6}}=>{{1},{2},{3,6},{4,5}}
[4,3,1,2,6,5]=>[1,2,6,3,4,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[4,3,1,5,2,6]=>[1,5,2,6,3,4]=>{{1},{2,3,5},{4,6}}=>{{1},{2,3,6},{4,5}}
[4,3,1,5,6,2]=>[1,5,6,2,3,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[4,3,1,6,2,5]=>[1,6,2,5,3,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[4,3,1,6,5,2]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[4,3,2,1,5,6]=>[1,5,6,2,3,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[4,3,2,1,6,5]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[4,3,2,5,1,6]=>[1,6,2,5,3,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[4,3,2,5,6,1]=>[1,2,5,6,3,4]=>{{1},{2},{3,5},{4,6}}=>{{1},{2},{3,6},{4,5}}
[4,3,2,6,1,5]=>[1,5,2,6,3,4]=>{{1},{2,3,5},{4,6}}=>{{1},{2,3,6},{4,5}}
[4,3,2,6,5,1]=>[1,2,6,3,4,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[4,3,5,1,2,6]=>[1,2,6,3,5,4]=>{{1},{2},{3,4,6},{5}}=>{{1},{2},{3,4,6},{5}}
[4,3,5,1,6,2]=>[1,6,2,3,5,4]=>{{1},{2,3,4,6},{5}}=>{{1},{2,3,4,6},{5}}
[4,3,5,2,1,6]=>[1,6,2,3,5,4]=>{{1},{2,3,4,6},{5}}=>{{1},{2,3,4,6},{5}}
[4,3,5,2,6,1]=>[1,2,6,3,5,4]=>{{1},{2},{3,4,6},{5}}=>{{1},{2},{3,4,6},{5}}
[4,3,5,6,1,2]=>[1,2,3,5,6,4]=>{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
[4,3,5,6,2,1]=>[1,2,3,5,6,4]=>{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
[4,3,6,1,2,5]=>[1,2,5,3,6,4]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[4,3,6,1,5,2]=>[1,5,2,3,6,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[4,3,6,2,1,5]=>[1,5,2,3,6,4]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[4,3,6,2,5,1]=>[1,2,5,3,6,4]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[4,3,6,5,1,2]=>[1,2,3,6,4,5]=>{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
[4,3,6,5,2,1]=>[1,2,3,6,4,5]=>{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
[4,5,1,2,3,6]=>[1,2,3,6,4,5]=>{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
[4,5,1,2,6,3]=>[1,2,6,3,4,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[4,5,1,3,2,6]=>[1,3,2,6,4,5]=>{{1},{2,3},{4,5,6}}=>{{1},{2,3},{4,5,6}}
[4,5,1,3,6,2]=>[1,3,6,2,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[4,5,1,6,2,3]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[4,5,1,6,3,2]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[4,5,2,1,3,6]=>[1,3,6,2,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[4,5,2,1,6,3]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[4,5,2,3,1,6]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[4,5,2,3,6,1]=>[1,2,3,6,4,5]=>{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
[4,5,2,6,1,3]=>[1,3,2,6,4,5]=>{{1},{2,3},{4,5,6}}=>{{1},{2,3},{4,5,6}}
[4,5,2,6,3,1]=>[1,2,6,3,4,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[4,5,3,1,2,6]=>[1,2,6,3,4,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[4,5,3,1,6,2]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[4,5,3,2,1,6]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[4,5,3,2,6,1]=>[1,2,6,3,4,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[4,5,3,6,1,2]=>[1,2,3,6,4,5]=>{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
[4,5,3,6,2,1]=>[1,2,3,6,4,5]=>{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
[4,5,6,1,2,3]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[4,5,6,1,3,2]=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}}=>{{1},{2,3},{4},{5},{6}}
[4,5,6,2,1,3]=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}}=>{{1},{2,3},{4},{5},{6}}
[4,5,6,2,3,1]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[4,5,6,3,1,2]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[4,5,6,3,2,1]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[4,6,1,2,3,5]=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}}=>{{1},{2},{3},{4,5},{6}}
[4,6,1,2,5,3]=>[1,2,5,3,4,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[4,6,1,3,2,5]=>[1,3,2,5,4,6]=>{{1},{2,3},{4,5},{6}}=>{{1},{2,3},{4,5},{6}}
[4,6,1,3,5,2]=>[1,3,5,2,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[4,6,1,5,2,3]=>[1,5,2,3,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[4,6,1,5,3,2]=>[1,5,2,3,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[4,6,2,1,3,5]=>[1,3,5,2,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[4,6,2,1,5,3]=>[1,5,2,3,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[4,6,2,3,1,5]=>[1,5,2,3,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[4,6,2,3,5,1]=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}}=>{{1},{2},{3},{4,5},{6}}
[4,6,2,5,1,3]=>[1,3,2,5,4,6]=>{{1},{2,3},{4,5},{6}}=>{{1},{2,3},{4,5},{6}}
[4,6,2,5,3,1]=>[1,2,5,3,4,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[4,6,3,1,2,5]=>[1,2,5,3,4,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[4,6,3,1,5,2]=>[1,5,2,3,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[4,6,3,2,1,5]=>[1,5,2,3,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[4,6,3,2,5,1]=>[1,2,5,3,4,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[4,6,3,5,1,2]=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}}=>{{1},{2},{3},{4,5},{6}}
[4,6,3,5,2,1]=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}}=>{{1},{2},{3},{4,5},{6}}
[4,6,5,1,2,3]=>[1,2,3,4,6,5]=>{{1},{2},{3},{4},{5,6}}=>{{1},{2},{3},{4},{5,6}}
[4,6,5,1,3,2]=>[1,3,2,4,6,5]=>{{1},{2,3},{4},{5,6}}=>{{1},{2,3},{4},{5,6}}
[4,6,5,2,1,3]=>[1,3,2,4,6,5]=>{{1},{2,3},{4},{5,6}}=>{{1},{2,3},{4},{5,6}}
[4,6,5,2,3,1]=>[1,2,3,4,6,5]=>{{1},{2},{3},{4},{5,6}}=>{{1},{2},{3},{4},{5,6}}
[4,6,5,3,1,2]=>[1,2,3,4,6,5]=>{{1},{2},{3},{4},{5,6}}=>{{1},{2},{3},{4},{5,6}}
[4,6,5,3,2,1]=>[1,2,3,4,6,5]=>{{1},{2},{3},{4},{5,6}}=>{{1},{2},{3},{4},{5,6}}
[5,1,2,3,4,6]=>[1,2,3,4,6,5]=>{{1},{2},{3},{4},{5,6}}=>{{1},{2},{3},{4},{5,6}}
[5,1,2,3,6,4]=>[1,2,3,6,4,5]=>{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
[5,1,2,4,3,6]=>[1,2,4,3,6,5]=>{{1},{2},{3,4},{5,6}}=>{{1},{2},{3,4},{5,6}}
[5,1,2,4,6,3]=>[1,2,4,6,3,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[5,1,2,6,3,4]=>[1,2,6,3,4,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[5,1,2,6,4,3]=>[1,2,6,3,4,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[5,1,3,2,4,6]=>[1,3,2,4,6,5]=>{{1},{2,3},{4},{5,6}}=>{{1},{2,3},{4},{5,6}}
[5,1,3,2,6,4]=>[1,3,2,6,4,5]=>{{1},{2,3},{4,5,6}}=>{{1},{2,3},{4,5,6}}
[5,1,3,4,2,6]=>[1,3,4,2,6,5]=>{{1},{2,3,4},{5,6}}=>{{1},{2,3,4},{5,6}}
[5,1,3,4,6,2]=>[1,3,4,6,2,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[5,1,3,6,2,4]=>[1,3,6,2,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[5,1,3,6,4,2]=>[1,3,6,2,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[5,1,4,2,3,6]=>[1,4,2,3,6,5]=>{{1},{2,3,4},{5,6}}=>{{1},{2,3,4},{5,6}}
[5,1,4,2,6,3]=>[1,4,2,6,3,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[5,1,4,3,2,6]=>[1,4,2,6,3,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[5,1,4,3,6,2]=>[1,4,2,3,6,5]=>{{1},{2,3,4},{5,6}}=>{{1},{2,3,4},{5,6}}
[5,1,4,6,2,3]=>[1,4,6,2,3,5]=>{{1},{2,4},{3,5,6}}=>{{1},{2,5,6},{3,4}}
[5,1,4,6,3,2]=>[1,4,6,2,3,5]=>{{1},{2,4},{3,5,6}}=>{{1},{2,5,6},{3,4}}
[5,1,6,2,3,4]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[5,1,6,2,4,3]=>[1,6,2,4,3,5]=>{{1},{2,3,5,6},{4}}=>{{1},{2,3,5,6},{4}}
[5,1,6,3,2,4]=>[1,6,2,4,3,5]=>{{1},{2,3,5,6},{4}}=>{{1},{2,3,5,6},{4}}
[5,1,6,3,4,2]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[5,1,6,4,2,3]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[5,1,6,4,3,2]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[5,2,1,3,4,6]=>[1,3,4,6,2,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[5,2,1,3,6,4]=>[1,3,6,2,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[5,2,1,4,3,6]=>[1,4,2,3,6,5]=>{{1},{2,3,4},{5,6}}=>{{1},{2,3,4},{5,6}}
[5,2,1,4,6,3]=>[1,4,6,2,3,5]=>{{1},{2,4},{3,5,6}}=>{{1},{2,5,6},{3,4}}
[5,2,1,6,3,4]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[5,2,1,6,4,3]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[5,2,3,1,4,6]=>[1,4,6,2,3,5]=>{{1},{2,4},{3,5,6}}=>{{1},{2,5,6},{3,4}}
[5,2,3,1,6,4]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[5,2,3,4,1,6]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[5,2,3,4,6,1]=>[1,2,3,4,6,5]=>{{1},{2},{3},{4},{5,6}}=>{{1},{2},{3},{4},{5,6}}
[5,2,3,6,1,4]=>[1,4,2,3,6,5]=>{{1},{2,3,4},{5,6}}=>{{1},{2,3,4},{5,6}}
[5,2,3,6,4,1]=>[1,2,3,6,4,5]=>{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
[5,2,4,1,3,6]=>[1,3,6,2,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[5,2,4,1,6,3]=>[1,6,2,4,3,5]=>{{1},{2,3,5,6},{4}}=>{{1},{2,3,5,6},{4}}
[5,2,4,3,1,6]=>[1,6,2,4,3,5]=>{{1},{2,3,5,6},{4}}=>{{1},{2,3,5,6},{4}}
[5,2,4,3,6,1]=>[1,2,4,3,6,5]=>{{1},{2},{3,4},{5,6}}=>{{1},{2},{3,4},{5,6}}
[5,2,4,6,1,3]=>[1,3,2,4,6,5]=>{{1},{2,3},{4},{5,6}}=>{{1},{2,3},{4},{5,6}}
[5,2,4,6,3,1]=>[1,2,4,6,3,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[5,2,6,1,3,4]=>[1,3,4,2,6,5]=>{{1},{2,3,4},{5,6}}=>{{1},{2,3,4},{5,6}}
[5,2,6,1,4,3]=>[1,4,2,6,3,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[5,2,6,3,1,4]=>[1,4,2,6,3,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[5,2,6,3,4,1]=>[1,2,6,3,4,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[5,2,6,4,1,3]=>[1,3,2,6,4,5]=>{{1},{2,3},{4,5,6}}=>{{1},{2,3},{4,5,6}}
[5,2,6,4,3,1]=>[1,2,6,3,4,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[5,3,1,2,4,6]=>[1,2,4,6,3,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[5,3,1,2,6,4]=>[1,2,6,3,4,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[5,3,1,4,2,6]=>[1,4,2,6,3,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[5,3,1,4,6,2]=>[1,4,6,2,3,5]=>{{1},{2,4},{3,5,6}}=>{{1},{2,5,6},{3,4}}
[5,3,1,6,2,4]=>[1,6,2,4,3,5]=>{{1},{2,3,5,6},{4}}=>{{1},{2,3,5,6},{4}}
[5,3,1,6,4,2]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[5,3,2,1,4,6]=>[1,4,6,2,3,5]=>{{1},{2,4},{3,5,6}}=>{{1},{2,5,6},{3,4}}
[5,3,2,1,6,4]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[5,3,2,4,1,6]=>[1,6,2,4,3,5]=>{{1},{2,3,5,6},{4}}=>{{1},{2,3,5,6},{4}}
[5,3,2,4,6,1]=>[1,2,4,6,3,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[5,3,2,6,1,4]=>[1,4,2,6,3,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[5,3,2,6,4,1]=>[1,2,6,3,4,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[5,3,4,1,2,6]=>[1,2,6,3,4,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[5,3,4,1,6,2]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[5,3,4,2,1,6]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[5,3,4,2,6,1]=>[1,2,6,3,4,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[5,3,4,6,1,2]=>[1,2,3,4,6,5]=>{{1},{2},{3},{4},{5,6}}=>{{1},{2},{3},{4},{5,6}}
[5,3,4,6,2,1]=>[1,2,3,4,6,5]=>{{1},{2},{3},{4},{5,6}}=>{{1},{2},{3},{4},{5,6}}
[5,3,6,1,2,4]=>[1,2,4,3,6,5]=>{{1},{2},{3,4},{5,6}}=>{{1},{2},{3,4},{5,6}}
[5,3,6,1,4,2]=>[1,4,2,3,6,5]=>{{1},{2,3,4},{5,6}}=>{{1},{2,3,4},{5,6}}
[5,3,6,2,1,4]=>[1,4,2,3,6,5]=>{{1},{2,3,4},{5,6}}=>{{1},{2,3,4},{5,6}}
[5,3,6,2,4,1]=>[1,2,4,3,6,5]=>{{1},{2},{3,4},{5,6}}=>{{1},{2},{3,4},{5,6}}
[5,3,6,4,1,2]=>[1,2,3,6,4,5]=>{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
[5,3,6,4,2,1]=>[1,2,3,6,4,5]=>{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
[5,4,1,2,3,6]=>[1,2,3,6,4,5]=>{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
[5,4,1,2,6,3]=>[1,2,6,3,4,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[5,4,1,3,2,6]=>[1,3,2,6,4,5]=>{{1},{2,3},{4,5,6}}=>{{1},{2,3},{4,5,6}}
[5,4,1,3,6,2]=>[1,3,6,2,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[5,4,1,6,2,3]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[5,4,1,6,3,2]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[5,4,2,1,3,6]=>[1,3,6,2,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[5,4,2,1,6,3]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[5,4,2,3,1,6]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[5,4,2,3,6,1]=>[1,2,3,6,4,5]=>{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
[5,4,2,6,1,3]=>[1,3,2,6,4,5]=>{{1},{2,3},{4,5,6}}=>{{1},{2,3},{4,5,6}}
[5,4,2,6,3,1]=>[1,2,6,3,4,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[5,4,3,1,2,6]=>[1,2,6,3,4,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[5,4,3,1,6,2]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[5,4,3,2,1,6]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
[5,4,3,2,6,1]=>[1,2,6,3,4,5]=>{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
[5,4,3,6,1,2]=>[1,2,3,6,4,5]=>{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
[5,4,3,6,2,1]=>[1,2,3,6,4,5]=>{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
[5,4,6,1,2,3]=>[1,2,3,4,6,5]=>{{1},{2},{3},{4},{5,6}}=>{{1},{2},{3},{4},{5,6}}
[5,4,6,1,3,2]=>[1,3,2,4,6,5]=>{{1},{2,3},{4},{5,6}}=>{{1},{2,3},{4},{5,6}}
[5,4,6,2,1,3]=>[1,3,2,4,6,5]=>{{1},{2,3},{4},{5,6}}=>{{1},{2,3},{4},{5,6}}
[5,4,6,2,3,1]=>[1,2,3,4,6,5]=>{{1},{2},{3},{4},{5,6}}=>{{1},{2},{3},{4},{5,6}}
[5,4,6,3,1,2]=>[1,2,3,4,6,5]=>{{1},{2},{3},{4},{5,6}}=>{{1},{2},{3},{4},{5,6}}
[5,4,6,3,2,1]=>[1,2,3,4,6,5]=>{{1},{2},{3},{4},{5,6}}=>{{1},{2},{3},{4},{5,6}}
[5,6,1,2,3,4]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[5,6,1,2,4,3]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}}
[5,6,1,3,2,4]=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}}=>{{1},{2,3},{4},{5},{6}}
[5,6,1,3,4,2]=>[1,3,4,2,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[5,6,1,4,2,3]=>[1,4,2,3,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[5,6,1,4,3,2]=>[1,4,2,3,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[5,6,2,1,3,4]=>[1,3,4,2,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[5,6,2,1,4,3]=>[1,4,2,3,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[5,6,2,3,1,4]=>[1,4,2,3,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[5,6,2,3,4,1]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[5,6,2,4,1,3]=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}}=>{{1},{2,3},{4},{5},{6}}
[5,6,2,4,3,1]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}}
[5,6,3,1,2,4]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}}
[5,6,3,1,4,2]=>[1,4,2,3,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[5,6,3,2,1,4]=>[1,4,2,3,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[5,6,3,2,4,1]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}}
[5,6,3,4,1,2]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[5,6,3,4,2,1]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[5,6,4,1,2,3]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[5,6,4,1,3,2]=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}}=>{{1},{2,3},{4},{5},{6}}
[5,6,4,2,1,3]=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}}=>{{1},{2,3},{4},{5},{6}}
[5,6,4,2,3,1]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[5,6,4,3,1,2]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[5,6,4,3,2,1]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[6,1,2,3,4,5]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[6,1,2,3,5,4]=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}}=>{{1},{2},{3},{4,5},{6}}
[6,1,2,4,3,5]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}}
[6,1,2,4,5,3]=>[1,2,4,5,3,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[6,1,2,5,3,4]=>[1,2,5,3,4,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[6,1,2,5,4,3]=>[1,2,5,3,4,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[6,1,3,2,4,5]=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}}=>{{1},{2,3},{4},{5},{6}}
[6,1,3,2,5,4]=>[1,3,2,5,4,6]=>{{1},{2,3},{4,5},{6}}=>{{1},{2,3},{4,5},{6}}
[6,1,3,4,2,5]=>[1,3,4,2,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[6,1,3,4,5,2]=>[1,3,4,5,2,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[6,1,3,5,2,4]=>[1,3,5,2,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[6,1,3,5,4,2]=>[1,3,5,2,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[6,1,4,2,3,5]=>[1,4,2,3,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[6,1,4,2,5,3]=>[1,4,2,5,3,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[6,1,4,3,2,5]=>[1,4,2,5,3,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[6,1,4,3,5,2]=>[1,4,2,3,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[6,1,4,5,2,3]=>[1,4,5,2,3,6]=>{{1},{2,4},{3,5},{6}}=>{{1},{2,5},{3,4},{6}}
[6,1,4,5,3,2]=>[1,4,5,2,3,6]=>{{1},{2,4},{3,5},{6}}=>{{1},{2,5},{3,4},{6}}
[6,1,5,2,3,4]=>[1,5,2,3,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[6,1,5,2,4,3]=>[1,5,2,4,3,6]=>{{1},{2,3,5},{4},{6}}=>{{1},{2,3,5},{4},{6}}
[6,1,5,3,2,4]=>[1,5,2,4,3,6]=>{{1},{2,3,5},{4},{6}}=>{{1},{2,3,5},{4},{6}}
[6,1,5,3,4,2]=>[1,5,2,3,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[6,1,5,4,2,3]=>[1,5,2,3,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[6,1,5,4,3,2]=>[1,5,2,3,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[6,2,1,3,4,5]=>[1,3,4,5,2,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[6,2,1,3,5,4]=>[1,3,5,2,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[6,2,1,4,3,5]=>[1,4,2,3,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[6,2,1,4,5,3]=>[1,4,5,2,3,6]=>{{1},{2,4},{3,5},{6}}=>{{1},{2,5},{3,4},{6}}
[6,2,1,5,3,4]=>[1,5,2,3,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[6,2,1,5,4,3]=>[1,5,2,3,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[6,2,3,1,4,5]=>[1,4,5,2,3,6]=>{{1},{2,4},{3,5},{6}}=>{{1},{2,5},{3,4},{6}}
[6,2,3,1,5,4]=>[1,5,2,3,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[6,2,3,4,1,5]=>[1,5,2,3,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[6,2,3,4,5,1]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[6,2,3,5,1,4]=>[1,4,2,3,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[6,2,3,5,4,1]=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}}=>{{1},{2},{3},{4,5},{6}}
[6,2,4,1,3,5]=>[1,3,5,2,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[6,2,4,1,5,3]=>[1,5,2,4,3,6]=>{{1},{2,3,5},{4},{6}}=>{{1},{2,3,5},{4},{6}}
[6,2,4,3,1,5]=>[1,5,2,4,3,6]=>{{1},{2,3,5},{4},{6}}=>{{1},{2,3,5},{4},{6}}
[6,2,4,3,5,1]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}}
[6,2,4,5,1,3]=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}}=>{{1},{2,3},{4},{5},{6}}
[6,2,4,5,3,1]=>[1,2,4,5,3,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[6,2,5,1,3,4]=>[1,3,4,2,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[6,2,5,1,4,3]=>[1,4,2,5,3,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[6,2,5,3,1,4]=>[1,4,2,5,3,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[6,2,5,3,4,1]=>[1,2,5,3,4,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[6,2,5,4,1,3]=>[1,3,2,5,4,6]=>{{1},{2,3},{4,5},{6}}=>{{1},{2,3},{4,5},{6}}
[6,2,5,4,3,1]=>[1,2,5,3,4,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[6,3,1,2,4,5]=>[1,2,4,5,3,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[6,3,1,2,5,4]=>[1,2,5,3,4,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[6,3,1,4,2,5]=>[1,4,2,5,3,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[6,3,1,4,5,2]=>[1,4,5,2,3,6]=>{{1},{2,4},{3,5},{6}}=>{{1},{2,5},{3,4},{6}}
[6,3,1,5,2,4]=>[1,5,2,4,3,6]=>{{1},{2,3,5},{4},{6}}=>{{1},{2,3,5},{4},{6}}
[6,3,1,5,4,2]=>[1,5,2,3,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[6,3,2,1,4,5]=>[1,4,5,2,3,6]=>{{1},{2,4},{3,5},{6}}=>{{1},{2,5},{3,4},{6}}
[6,3,2,1,5,4]=>[1,5,2,3,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[6,3,2,4,1,5]=>[1,5,2,4,3,6]=>{{1},{2,3,5},{4},{6}}=>{{1},{2,3,5},{4},{6}}
[6,3,2,4,5,1]=>[1,2,4,5,3,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[6,3,2,5,1,4]=>[1,4,2,5,3,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[6,3,2,5,4,1]=>[1,2,5,3,4,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[6,3,4,1,2,5]=>[1,2,5,3,4,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[6,3,4,1,5,2]=>[1,5,2,3,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[6,3,4,2,1,5]=>[1,5,2,3,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[6,3,4,2,5,1]=>[1,2,5,3,4,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[6,3,4,5,1,2]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[6,3,4,5,2,1]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[6,3,5,1,2,4]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}}
[6,3,5,1,4,2]=>[1,4,2,3,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[6,3,5,2,1,4]=>[1,4,2,3,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[6,3,5,2,4,1]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}}
[6,3,5,4,1,2]=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}}=>{{1},{2},{3},{4,5},{6}}
[6,3,5,4,2,1]=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}}=>{{1},{2},{3},{4,5},{6}}
[6,4,1,2,3,5]=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}}=>{{1},{2},{3},{4,5},{6}}
[6,4,1,2,5,3]=>[1,2,5,3,4,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[6,4,1,3,2,5]=>[1,3,2,5,4,6]=>{{1},{2,3},{4,5},{6}}=>{{1},{2,3},{4,5},{6}}
[6,4,1,3,5,2]=>[1,3,5,2,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[6,4,1,5,2,3]=>[1,5,2,3,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[6,4,1,5,3,2]=>[1,5,2,3,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[6,4,2,1,3,5]=>[1,3,5,2,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[6,4,2,1,5,3]=>[1,5,2,3,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[6,4,2,3,1,5]=>[1,5,2,3,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[6,4,2,3,5,1]=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}}=>{{1},{2},{3},{4,5},{6}}
[6,4,2,5,1,3]=>[1,3,2,5,4,6]=>{{1},{2,3},{4,5},{6}}=>{{1},{2,3},{4,5},{6}}
[6,4,2,5,3,1]=>[1,2,5,3,4,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[6,4,3,1,2,5]=>[1,2,5,3,4,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[6,4,3,1,5,2]=>[1,5,2,3,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[6,4,3,2,1,5]=>[1,5,2,3,4,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[6,4,3,2,5,1]=>[1,2,5,3,4,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
[6,4,3,5,1,2]=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}}=>{{1},{2},{3},{4,5},{6}}
[6,4,3,5,2,1]=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}}=>{{1},{2},{3},{4,5},{6}}
[6,4,5,1,2,3]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[6,4,5,1,3,2]=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}}=>{{1},{2,3},{4},{5},{6}}
[6,4,5,2,1,3]=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}}=>{{1},{2,3},{4},{5},{6}}
[6,4,5,2,3,1]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[6,4,5,3,1,2]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[6,4,5,3,2,1]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[6,5,1,2,3,4]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[6,5,1,2,4,3]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}}
[6,5,1,3,2,4]=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}}=>{{1},{2,3},{4},{5},{6}}
[6,5,1,3,4,2]=>[1,3,4,2,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[6,5,1,4,2,3]=>[1,4,2,3,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[6,5,1,4,3,2]=>[1,4,2,3,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[6,5,2,1,3,4]=>[1,3,4,2,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[6,5,2,1,4,3]=>[1,4,2,3,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[6,5,2,3,1,4]=>[1,4,2,3,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[6,5,2,3,4,1]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[6,5,2,4,1,3]=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}}=>{{1},{2,3},{4},{5},{6}}
[6,5,2,4,3,1]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}}
[6,5,3,1,2,4]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}}
[6,5,3,1,4,2]=>[1,4,2,3,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[6,5,3,2,1,4]=>[1,4,2,3,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
[6,5,3,2,4,1]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}}
[6,5,3,4,1,2]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[6,5,3,4,2,1]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[6,5,4,1,2,3]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[6,5,4,1,3,2]=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}}=>{{1},{2,3},{4},{5},{6}}
[6,5,4,2,1,3]=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}}=>{{1},{2,3},{4},{5},{6}}
[6,5,4,2,3,1]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[6,5,4,3,1,2]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[1,2,3,4,5,6,7]=>[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}}
[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>{{1},{2},{3},{4},{5,6},{7}}=>{{1},{2},{3},{4},{5,6},{7}}
[1,2,3,4,6,7,5]=>[1,2,3,4,6,7,5]=>{{1},{2},{3},{4},{5,6,7}}=>{{1},{2},{3},{4},{5,6,7}}
[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>{{1},{2},{3},{4},{5,6,7}}=>{{1},{2},{3},{4},{5,6,7}}
[1,2,3,4,7,6,5]=>[1,2,3,4,7,5,6]=>{{1},{2},{3},{4},{5,6,7}}=>{{1},{2},{3},{4},{5,6,7}}
[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}}
[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>{{1},{2},{3},{4,5},{6,7}}=>{{1},{2},{3},{4,5},{6,7}}
[1,2,3,5,6,4,7]=>[1,2,3,5,6,4,7]=>{{1},{2},{3},{4,5,6},{7}}=>{{1},{2},{3},{4,5,6},{7}}
[1,2,3,5,6,7,4]=>[1,2,3,5,6,7,4]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[1,2,3,5,7,4,6]=>[1,2,3,5,7,4,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[1,2,3,5,7,6,4]=>[1,2,3,5,7,4,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>{{1},{2},{3},{4,5,6},{7}}=>{{1},{2},{3},{4,5,6},{7}}
[1,2,3,6,4,7,5]=>[1,2,3,6,4,7,5]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[1,2,3,6,5,4,7]=>[1,2,3,6,4,7,5]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[1,2,3,6,5,7,4]=>[1,2,3,6,4,5,7]=>{{1},{2},{3},{4,5,6},{7}}=>{{1},{2},{3},{4,5,6},{7}}
[1,2,3,6,7,4,5]=>[1,2,3,6,7,4,5]=>{{1},{2},{3},{4,6},{5,7}}=>{{1},{2},{3},{4,7},{5,6}}
[1,2,3,6,7,5,4]=>[1,2,3,6,7,4,5]=>{{1},{2},{3},{4,6},{5,7}}=>{{1},{2},{3},{4,7},{5,6}}
[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[1,2,3,7,4,6,5]=>[1,2,3,7,4,6,5]=>{{1},{2},{3},{4,5,7},{6}}=>{{1},{2},{3},{4,5,7},{6}}
[1,2,3,7,5,4,6]=>[1,2,3,7,4,6,5]=>{{1},{2},{3},{4,5,7},{6}}=>{{1},{2},{3},{4,5,7},{6}}
[1,2,3,7,5,6,4]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[1,2,3,7,6,4,5]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[1,2,3,7,6,5,4]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[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}}
[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>{{1},{2},{3,4},{5},{6,7}}=>{{1},{2},{3,4},{5},{6,7}}
[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>{{1},{2},{3,4},{5,6},{7}}=>{{1},{2},{3,4},{5,6},{7}}
[1,2,4,3,6,7,5]=>[1,2,4,3,6,7,5]=>{{1},{2},{3,4},{5,6,7}}=>{{1},{2},{3,4},{5,6,7}}
[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>{{1},{2},{3,4},{5,6,7}}=>{{1},{2},{3,4},{5,6,7}}
[1,2,4,3,7,6,5]=>[1,2,4,3,7,5,6]=>{{1},{2},{3,4},{5,6,7}}=>{{1},{2},{3,4},{5,6,7}}
[1,2,4,5,3,6,7]=>[1,2,4,5,3,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6},{7}}
[1,2,4,5,3,7,6]=>[1,2,4,5,3,7,6]=>{{1},{2},{3,4,5},{6,7}}=>{{1},{2},{3,4,5},{6,7}}
[1,2,4,5,6,3,7]=>[1,2,4,5,6,3,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[1,2,4,5,6,7,3]=>[1,2,4,5,6,7,3]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[1,2,4,5,7,3,6]=>[1,2,4,5,7,3,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[1,2,4,5,7,6,3]=>[1,2,4,5,7,3,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[1,2,4,6,3,5,7]=>[1,2,4,6,3,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[1,2,4,6,3,7,5]=>[1,2,4,6,3,7,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[1,2,4,6,5,3,7]=>[1,2,4,6,3,7,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[1,2,4,6,5,7,3]=>[1,2,4,6,3,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[1,2,4,6,7,3,5]=>[1,2,4,6,7,3,5]=>{{1},{2},{3,4,6},{5,7}}=>{{1},{2},{3,4,7},{5,6}}
[1,2,4,6,7,5,3]=>[1,2,4,6,7,3,5]=>{{1},{2},{3,4,6},{5,7}}=>{{1},{2},{3,4,7},{5,6}}
[1,2,4,7,3,5,6]=>[1,2,4,7,3,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[1,2,4,7,3,6,5]=>[1,2,4,7,3,6,5]=>{{1},{2},{3,4,5,7},{6}}=>{{1},{2},{3,4,5,7},{6}}
[1,2,4,7,5,3,6]=>[1,2,4,7,3,6,5]=>{{1},{2},{3,4,5,7},{6}}=>{{1},{2},{3,4,5,7},{6}}
[1,2,4,7,5,6,3]=>[1,2,4,7,3,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[1,2,4,7,6,3,5]=>[1,2,4,7,3,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[1,2,4,7,6,5,3]=>[1,2,4,7,3,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6},{7}}
[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>{{1},{2},{3,4,5},{6,7}}=>{{1},{2},{3,4,5},{6,7}}
[1,2,5,3,6,4,7]=>[1,2,5,3,6,4,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[1,2,5,3,6,7,4]=>[1,2,5,3,6,7,4]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[1,2,5,3,7,4,6]=>[1,2,5,3,7,4,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[1,2,5,3,7,6,4]=>[1,2,5,3,7,4,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[1,2,5,4,3,6,7]=>[1,2,5,3,6,7,4]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[1,2,5,4,3,7,6]=>[1,2,5,3,7,4,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[1,2,5,4,6,3,7]=>[1,2,5,3,7,4,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[1,2,5,4,6,7,3]=>[1,2,5,3,4,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6},{7}}
[1,2,5,4,7,3,6]=>[1,2,5,3,6,4,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[1,2,5,4,7,6,3]=>[1,2,5,3,4,7,6]=>{{1},{2},{3,4,5},{6,7}}=>{{1},{2},{3,4,5},{6,7}}
[1,2,5,6,3,4,7]=>[1,2,5,6,3,4,7]=>{{1},{2},{3,5},{4,6},{7}}=>{{1},{2},{3,6},{4,5},{7}}
[1,2,5,6,3,7,4]=>[1,2,5,6,3,7,4]=>{{1},{2},{3,5},{4,6,7}}=>{{1},{2},{3,6,7},{4,5}}
[1,2,5,6,4,3,7]=>[1,2,5,6,3,7,4]=>{{1},{2},{3,5},{4,6,7}}=>{{1},{2},{3,6,7},{4,5}}
[1,2,5,6,4,7,3]=>[1,2,5,6,3,4,7]=>{{1},{2},{3,5},{4,6},{7}}=>{{1},{2},{3,6},{4,5},{7}}
[1,2,5,6,7,3,4]=>[1,2,5,6,7,3,4]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[1,2,5,6,7,4,3]=>[1,2,5,6,7,3,4]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[1,2,5,7,3,4,6]=>[1,2,5,7,3,4,6]=>{{1},{2},{3,5},{4,6,7}}=>{{1},{2},{3,6,7},{4,5}}
[1,2,5,7,3,6,4]=>[1,2,5,7,3,6,4]=>{{1},{2},{3,5},{4,7},{6}}=>{{1},{2},{3,7},{4,5},{6}}
[1,2,5,7,4,3,6]=>[1,2,5,7,3,6,4]=>{{1},{2},{3,5},{4,7},{6}}=>{{1},{2},{3,7},{4,5},{6}}
[1,2,5,7,4,6,3]=>[1,2,5,7,3,4,6]=>{{1},{2},{3,5},{4,6,7}}=>{{1},{2},{3,6,7},{4,5}}
[1,2,5,7,6,3,4]=>[1,2,5,7,3,4,6]=>{{1},{2},{3,5},{4,6,7}}=>{{1},{2},{3,6,7},{4,5}}
[1,2,5,7,6,4,3]=>[1,2,5,7,3,4,6]=>{{1},{2},{3,5},{4,6,7}}=>{{1},{2},{3,6,7},{4,5}}
[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[1,2,6,3,4,7,5]=>[1,2,6,3,4,7,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[1,2,6,3,5,4,7]=>[1,2,6,3,5,4,7]=>{{1},{2},{3,4,6},{5},{7}}=>{{1},{2},{3,4,6},{5},{7}}
[1,2,6,3,5,7,4]=>[1,2,6,3,5,7,4]=>{{1},{2},{3,4,6,7},{5}}=>{{1},{2},{3,4,6,7},{5}}
[1,2,6,3,7,4,5]=>[1,2,6,3,7,4,5]=>{{1},{2},{3,4,6},{5,7}}=>{{1},{2},{3,4,7},{5,6}}
[1,2,6,3,7,5,4]=>[1,2,6,3,7,4,5]=>{{1},{2},{3,4,6},{5,7}}=>{{1},{2},{3,4,7},{5,6}}
[1,2,6,4,3,5,7]=>[1,2,6,3,5,7,4]=>{{1},{2},{3,4,6,7},{5}}=>{{1},{2},{3,4,6,7},{5}}
[1,2,6,4,3,7,5]=>[1,2,6,3,7,4,5]=>{{1},{2},{3,4,6},{5,7}}=>{{1},{2},{3,4,7},{5,6}}
[1,2,6,4,5,3,7]=>[1,2,6,3,7,4,5]=>{{1},{2},{3,4,6},{5,7}}=>{{1},{2},{3,4,7},{5,6}}
[1,2,6,4,5,7,3]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[1,2,6,4,7,3,5]=>[1,2,6,3,5,4,7]=>{{1},{2},{3,4,6},{5},{7}}=>{{1},{2},{3,4,6},{5},{7}}
[1,2,6,4,7,5,3]=>[1,2,6,3,4,7,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[1,2,6,5,3,4,7]=>[1,2,6,3,4,7,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[1,2,6,5,3,7,4]=>[1,2,6,3,7,4,5]=>{{1},{2},{3,4,6},{5,7}}=>{{1},{2},{3,4,7},{5,6}}
[1,2,6,5,4,3,7]=>[1,2,6,3,7,4,5]=>{{1},{2},{3,4,6},{5,7}}=>{{1},{2},{3,4,7},{5,6}}
[1,2,6,5,4,7,3]=>[1,2,6,3,4,7,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[1,2,6,5,7,3,4]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[1,2,6,5,7,4,3]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[1,2,6,7,3,4,5]=>[1,2,6,7,3,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[1,2,6,7,3,5,4]=>[1,2,6,7,3,5,4]=>{{1},{2},{3,5,6},{4,7}}=>{{1},{2},{3,6},{4,5,7}}
[1,2,6,7,4,3,5]=>[1,2,6,7,3,5,4]=>{{1},{2},{3,5,6},{4,7}}=>{{1},{2},{3,6},{4,5,7}}
[1,2,6,7,4,5,3]=>[1,2,6,7,3,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[1,2,6,7,5,3,4]=>[1,2,6,7,3,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[1,2,6,7,5,4,3]=>[1,2,6,7,3,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[1,2,7,3,4,6,5]=>[1,2,7,3,4,6,5]=>{{1},{2},{3,4,5,7},{6}}=>{{1},{2},{3,4,5,7},{6}}
[1,2,7,3,5,4,6]=>[1,2,7,3,5,4,6]=>{{1},{2},{3,4,6,7},{5}}=>{{1},{2},{3,4,6,7},{5}}
[1,2,7,3,5,6,4]=>[1,2,7,3,5,6,4]=>{{1},{2},{3,4,7},{5},{6}}=>{{1},{2},{3,4,7},{5},{6}}
[1,2,7,3,6,4,5]=>[1,2,7,3,6,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[1,2,7,3,6,5,4]=>[1,2,7,3,6,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[1,2,7,4,3,5,6]=>[1,2,7,3,5,6,4]=>{{1},{2},{3,4,7},{5},{6}}=>{{1},{2},{3,4,7},{5},{6}}
[1,2,7,4,3,6,5]=>[1,2,7,3,6,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[1,2,7,4,5,3,6]=>[1,2,7,3,6,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[1,2,7,4,5,6,3]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[1,2,7,4,6,3,5]=>[1,2,7,3,5,4,6]=>{{1},{2},{3,4,6,7},{5}}=>{{1},{2},{3,4,6,7},{5}}
[1,2,7,4,6,5,3]=>[1,2,7,3,4,6,5]=>{{1},{2},{3,4,5,7},{6}}=>{{1},{2},{3,4,5,7},{6}}
[1,2,7,5,3,4,6]=>[1,2,7,3,4,6,5]=>{{1},{2},{3,4,5,7},{6}}=>{{1},{2},{3,4,5,7},{6}}
[1,2,7,5,3,6,4]=>[1,2,7,3,6,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[1,2,7,5,4,3,6]=>[1,2,7,3,6,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[1,2,7,5,4,6,3]=>[1,2,7,3,4,6,5]=>{{1},{2},{3,4,5,7},{6}}=>{{1},{2},{3,4,5,7},{6}}
[1,2,7,5,6,3,4]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[1,2,7,5,6,4,3]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[1,2,7,6,3,4,5]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[1,2,7,6,3,5,4]=>[1,2,7,3,5,4,6]=>{{1},{2},{3,4,6,7},{5}}=>{{1},{2},{3,4,6,7},{5}}
[1,2,7,6,4,3,5]=>[1,2,7,3,5,4,6]=>{{1},{2},{3,4,6,7},{5}}=>{{1},{2},{3,4,6,7},{5}}
[1,2,7,6,4,5,3]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[1,2,7,6,5,3,4]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[1,2,7,6,5,4,3]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[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}}
[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>{{1},{2,3},{4},{5},{6,7}}=>{{1},{2,3},{4},{5},{6,7}}
[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>{{1},{2,3},{4},{5,6},{7}}=>{{1},{2,3},{4},{5,6},{7}}
[1,3,2,4,6,7,5]=>[1,3,2,4,6,7,5]=>{{1},{2,3},{4},{5,6,7}}=>{{1},{2,3},{4},{5,6,7}}
[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>{{1},{2,3},{4},{5,6,7}}=>{{1},{2,3},{4},{5,6,7}}
[1,3,2,4,7,6,5]=>[1,3,2,4,7,5,6]=>{{1},{2,3},{4},{5,6,7}}=>{{1},{2,3},{4},{5,6,7}}
[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}}
[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>{{1},{2,3},{4,5},{6,7}}=>{{1},{2,3},{4,5},{6,7}}
[1,3,2,5,6,4,7]=>[1,3,2,5,6,4,7]=>{{1},{2,3},{4,5,6},{7}}=>{{1},{2,3},{4,5,6},{7}}
[1,3,2,5,6,7,4]=>[1,3,2,5,6,7,4]=>{{1},{2,3},{4,5,6,7}}=>{{1},{2,3},{4,5,6,7}}
[1,3,2,5,7,4,6]=>[1,3,2,5,7,4,6]=>{{1},{2,3},{4,5,6,7}}=>{{1},{2,3},{4,5,6,7}}
[1,3,2,5,7,6,4]=>[1,3,2,5,7,4,6]=>{{1},{2,3},{4,5,6,7}}=>{{1},{2,3},{4,5,6,7}}
[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>{{1},{2,3},{4,5,6},{7}}=>{{1},{2,3},{4,5,6},{7}}
[1,3,2,6,4,7,5]=>[1,3,2,6,4,7,5]=>{{1},{2,3},{4,5,6,7}}=>{{1},{2,3},{4,5,6,7}}
[1,3,2,6,5,4,7]=>[1,3,2,6,4,7,5]=>{{1},{2,3},{4,5,6,7}}=>{{1},{2,3},{4,5,6,7}}
[1,3,2,6,5,7,4]=>[1,3,2,6,4,5,7]=>{{1},{2,3},{4,5,6},{7}}=>{{1},{2,3},{4,5,6},{7}}
[1,3,2,6,7,4,5]=>[1,3,2,6,7,4,5]=>{{1},{2,3},{4,6},{5,7}}=>{{1},{2,3},{4,7},{5,6}}
[1,3,2,6,7,5,4]=>[1,3,2,6,7,4,5]=>{{1},{2,3},{4,6},{5,7}}=>{{1},{2,3},{4,7},{5,6}}
[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>{{1},{2,3},{4,5,6,7}}=>{{1},{2,3},{4,5,6,7}}
[1,3,2,7,4,6,5]=>[1,3,2,7,4,6,5]=>{{1},{2,3},{4,5,7},{6}}=>{{1},{2,3},{4,5,7},{6}}
[1,3,2,7,5,4,6]=>[1,3,2,7,4,6,5]=>{{1},{2,3},{4,5,7},{6}}=>{{1},{2,3},{4,5,7},{6}}
[1,3,2,7,5,6,4]=>[1,3,2,7,4,5,6]=>{{1},{2,3},{4,5,6,7}}=>{{1},{2,3},{4,5,6,7}}
[1,3,2,7,6,4,5]=>[1,3,2,7,4,5,6]=>{{1},{2,3},{4,5,6,7}}=>{{1},{2,3},{4,5,6,7}}
[1,3,2,7,6,5,4]=>[1,3,2,7,4,5,6]=>{{1},{2,3},{4,5,6,7}}=>{{1},{2,3},{4,5,6,7}}
[1,3,4,2,5,6,7]=>[1,3,4,2,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>{{1},{2,3,4},{5},{6},{7}}
[1,3,4,2,5,7,6]=>[1,3,4,2,5,7,6]=>{{1},{2,3,4},{5},{6,7}}=>{{1},{2,3,4},{5},{6,7}}
[1,3,4,2,6,5,7]=>[1,3,4,2,6,5,7]=>{{1},{2,3,4},{5,6},{7}}=>{{1},{2,3,4},{5,6},{7}}
[1,3,4,2,6,7,5]=>[1,3,4,2,6,7,5]=>{{1},{2,3,4},{5,6,7}}=>{{1},{2,3,4},{5,6,7}}
[1,3,4,2,7,5,6]=>[1,3,4,2,7,5,6]=>{{1},{2,3,4},{5,6,7}}=>{{1},{2,3,4},{5,6,7}}
[1,3,4,2,7,6,5]=>[1,3,4,2,7,5,6]=>{{1},{2,3,4},{5,6,7}}=>{{1},{2,3,4},{5,6,7}}
[1,3,4,5,2,6,7]=>[1,3,4,5,2,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[1,3,4,5,2,7,6]=>[1,3,4,5,2,7,6]=>{{1},{2,3,4,5},{6,7}}=>{{1},{2,3,4,5},{6,7}}
[1,3,4,5,6,2,7]=>[1,3,4,5,6,2,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[1,3,4,5,6,7,2]=>[1,3,4,5,6,7,2]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,3,4,5,7,2,6]=>[1,3,4,5,7,2,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,3,4,5,7,6,2]=>[1,3,4,5,7,2,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,3,4,6,2,5,7]=>[1,3,4,6,2,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[1,3,4,6,2,7,5]=>[1,3,4,6,2,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,3,4,6,5,2,7]=>[1,3,4,6,2,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,3,4,6,5,7,2]=>[1,3,4,6,2,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[1,3,4,6,7,2,5]=>[1,3,4,6,7,2,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[1,3,4,6,7,5,2]=>[1,3,4,6,7,2,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[1,3,4,7,2,5,6]=>[1,3,4,7,2,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,3,4,7,2,6,5]=>[1,3,4,7,2,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[1,3,4,7,5,2,6]=>[1,3,4,7,2,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[1,3,4,7,5,6,2]=>[1,3,4,7,2,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,3,4,7,6,2,5]=>[1,3,4,7,2,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,3,4,7,6,5,2]=>[1,3,4,7,2,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,3,5,2,4,6,7]=>[1,3,5,2,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[1,3,5,2,4,7,6]=>[1,3,5,2,4,7,6]=>{{1},{2,3,4,5},{6,7}}=>{{1},{2,3,4,5},{6,7}}
[1,3,5,2,6,4,7]=>[1,3,5,2,6,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[1,3,5,2,6,7,4]=>[1,3,5,2,6,7,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,3,5,2,7,4,6]=>[1,3,5,2,7,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,3,5,2,7,6,4]=>[1,3,5,2,7,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,3,5,4,2,6,7]=>[1,3,5,2,6,7,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,3,5,4,2,7,6]=>[1,3,5,2,7,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,3,5,4,6,2,7]=>[1,3,5,2,7,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,3,5,4,6,7,2]=>[1,3,5,2,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[1,3,5,4,7,2,6]=>[1,3,5,2,6,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[1,3,5,4,7,6,2]=>[1,3,5,2,4,7,6]=>{{1},{2,3,4,5},{6,7}}=>{{1},{2,3,4,5},{6,7}}
[1,3,5,6,2,4,7]=>[1,3,5,6,2,4,7]=>{{1},{2,3,5},{4,6},{7}}=>{{1},{2,3,6},{4,5},{7}}
[1,3,5,6,2,7,4]=>[1,3,5,6,2,7,4]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[1,3,5,6,4,2,7]=>[1,3,5,6,2,7,4]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[1,3,5,6,4,7,2]=>[1,3,5,6,2,4,7]=>{{1},{2,3,5},{4,6},{7}}=>{{1},{2,3,6},{4,5},{7}}
[1,3,5,6,7,2,4]=>[1,3,5,6,7,2,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,3,5,6,7,4,2]=>[1,3,5,6,7,2,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,3,5,7,2,4,6]=>[1,3,5,7,2,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[1,3,5,7,2,6,4]=>[1,3,5,7,2,6,4]=>{{1},{2,3,5},{4,7},{6}}=>{{1},{2,3,7},{4,5},{6}}
[1,3,5,7,4,2,6]=>[1,3,5,7,2,6,4]=>{{1},{2,3,5},{4,7},{6}}=>{{1},{2,3,7},{4,5},{6}}
[1,3,5,7,4,6,2]=>[1,3,5,7,2,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[1,3,5,7,6,2,4]=>[1,3,5,7,2,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[1,3,5,7,6,4,2]=>[1,3,5,7,2,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[1,3,6,2,4,5,7]=>[1,3,6,2,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[1,3,6,2,4,7,5]=>[1,3,6,2,4,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,3,6,2,5,4,7]=>[1,3,6,2,5,4,7]=>{{1},{2,3,4,6},{5},{7}}=>{{1},{2,3,4,6},{5},{7}}
[1,3,6,2,5,7,4]=>[1,3,6,2,5,7,4]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[1,3,6,2,7,4,5]=>[1,3,6,2,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[1,3,6,2,7,5,4]=>[1,3,6,2,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[1,3,6,4,2,5,7]=>[1,3,6,2,5,7,4]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[1,3,6,4,2,7,5]=>[1,3,6,2,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[1,3,6,4,5,2,7]=>[1,3,6,2,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[1,3,6,4,5,7,2]=>[1,3,6,2,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[1,3,6,4,7,2,5]=>[1,3,6,2,5,4,7]=>{{1},{2,3,4,6},{5},{7}}=>{{1},{2,3,4,6},{5},{7}}
[1,3,6,4,7,5,2]=>[1,3,6,2,4,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,3,6,5,2,4,7]=>[1,3,6,2,4,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,3,6,5,2,7,4]=>[1,3,6,2,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[1,3,6,5,4,2,7]=>[1,3,6,2,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[1,3,6,5,4,7,2]=>[1,3,6,2,4,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,3,6,5,7,2,4]=>[1,3,6,2,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[1,3,6,5,7,4,2]=>[1,3,6,2,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[1,3,6,7,2,4,5]=>[1,3,6,7,2,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,3,6,7,2,5,4]=>[1,3,6,7,2,5,4]=>{{1},{2,3,5,6},{4,7}}=>{{1},{2,3,6},{4,5,7}}
[1,3,6,7,4,2,5]=>[1,3,6,7,2,5,4]=>{{1},{2,3,5,6},{4,7}}=>{{1},{2,3,6},{4,5,7}}
[1,3,6,7,4,5,2]=>[1,3,6,7,2,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,3,6,7,5,2,4]=>[1,3,6,7,2,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,3,6,7,5,4,2]=>[1,3,6,7,2,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,3,7,2,4,5,6]=>[1,3,7,2,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,3,7,2,4,6,5]=>[1,3,7,2,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[1,3,7,2,5,4,6]=>[1,3,7,2,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[1,3,7,2,5,6,4]=>[1,3,7,2,5,6,4]=>{{1},{2,3,4,7},{5},{6}}=>{{1},{2,3,4,7},{5},{6}}
[1,3,7,2,6,4,5]=>[1,3,7,2,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,3,7,2,6,5,4]=>[1,3,7,2,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,3,7,4,2,5,6]=>[1,3,7,2,5,6,4]=>{{1},{2,3,4,7},{5},{6}}=>{{1},{2,3,4,7},{5},{6}}
[1,3,7,4,2,6,5]=>[1,3,7,2,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,3,7,4,5,2,6]=>[1,3,7,2,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,3,7,4,5,6,2]=>[1,3,7,2,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,3,7,4,6,2,5]=>[1,3,7,2,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[1,3,7,4,6,5,2]=>[1,3,7,2,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[1,3,7,5,2,4,6]=>[1,3,7,2,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[1,3,7,5,2,6,4]=>[1,3,7,2,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,3,7,5,4,2,6]=>[1,3,7,2,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,3,7,5,4,6,2]=>[1,3,7,2,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[1,3,7,5,6,2,4]=>[1,3,7,2,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,3,7,5,6,4,2]=>[1,3,7,2,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,3,7,6,2,4,5]=>[1,3,7,2,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,3,7,6,2,5,4]=>[1,3,7,2,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[1,3,7,6,4,2,5]=>[1,3,7,2,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[1,3,7,6,4,5,2]=>[1,3,7,2,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,3,7,6,5,2,4]=>[1,3,7,2,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,3,7,6,5,4,2]=>[1,3,7,2,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>{{1},{2,3,4},{5},{6},{7}}
[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>{{1},{2,3,4},{5},{6,7}}=>{{1},{2,3,4},{5},{6,7}}
[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>{{1},{2,3,4},{5,6},{7}}=>{{1},{2,3,4},{5,6},{7}}
[1,4,2,3,6,7,5]=>[1,4,2,3,6,7,5]=>{{1},{2,3,4},{5,6,7}}=>{{1},{2,3,4},{5,6,7}}
[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>{{1},{2,3,4},{5,6,7}}=>{{1},{2,3,4},{5,6,7}}
[1,4,2,3,7,6,5]=>[1,4,2,3,7,5,6]=>{{1},{2,3,4},{5,6,7}}=>{{1},{2,3,4},{5,6,7}}
[1,4,2,5,3,6,7]=>[1,4,2,5,3,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[1,4,2,5,3,7,6]=>[1,4,2,5,3,7,6]=>{{1},{2,3,4,5},{6,7}}=>{{1},{2,3,4,5},{6,7}}
[1,4,2,5,6,3,7]=>[1,4,2,5,6,3,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[1,4,2,5,6,7,3]=>[1,4,2,5,6,7,3]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,4,2,5,7,3,6]=>[1,4,2,5,7,3,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,4,2,5,7,6,3]=>[1,4,2,5,7,3,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,4,2,6,3,5,7]=>[1,4,2,6,3,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[1,4,2,6,3,7,5]=>[1,4,2,6,3,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,4,2,6,5,3,7]=>[1,4,2,6,3,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,4,2,6,5,7,3]=>[1,4,2,6,3,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[1,4,2,6,7,3,5]=>[1,4,2,6,7,3,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[1,4,2,6,7,5,3]=>[1,4,2,6,7,3,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[1,4,2,7,3,5,6]=>[1,4,2,7,3,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,4,2,7,3,6,5]=>[1,4,2,7,3,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[1,4,2,7,5,3,6]=>[1,4,2,7,3,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[1,4,2,7,5,6,3]=>[1,4,2,7,3,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,4,2,7,6,3,5]=>[1,4,2,7,3,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,4,2,7,6,5,3]=>[1,4,2,7,3,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,4,3,2,5,6,7]=>[1,4,2,5,6,7,3]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,4,3,2,5,7,6]=>[1,4,2,5,7,3,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,4,3,2,6,5,7]=>[1,4,2,6,3,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[1,4,3,2,6,7,5]=>[1,4,2,6,7,3,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[1,4,3,2,7,5,6]=>[1,4,2,7,3,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,4,3,2,7,6,5]=>[1,4,2,7,3,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,4,3,5,2,6,7]=>[1,4,2,6,7,3,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[1,4,3,5,2,7,6]=>[1,4,2,7,3,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,4,3,5,6,2,7]=>[1,4,2,7,3,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,4,3,5,6,7,2]=>[1,4,2,3,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>{{1},{2,3,4},{5},{6},{7}}
[1,4,3,5,7,2,6]=>[1,4,2,6,3,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[1,4,3,5,7,6,2]=>[1,4,2,3,5,7,6]=>{{1},{2,3,4},{5},{6,7}}=>{{1},{2,3,4},{5},{6,7}}
[1,4,3,6,2,5,7]=>[1,4,2,5,7,3,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,4,3,6,2,7,5]=>[1,4,2,7,3,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[1,4,3,6,5,2,7]=>[1,4,2,7,3,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[1,4,3,6,5,7,2]=>[1,4,2,3,6,5,7]=>{{1},{2,3,4},{5,6},{7}}=>{{1},{2,3,4},{5,6},{7}}
[1,4,3,6,7,2,5]=>[1,4,2,5,3,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[1,4,3,6,7,5,2]=>[1,4,2,3,6,7,5]=>{{1},{2,3,4},{5,6,7}}=>{{1},{2,3,4},{5,6,7}}
[1,4,3,7,2,5,6]=>[1,4,2,5,6,3,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[1,4,3,7,2,6,5]=>[1,4,2,6,3,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,4,3,7,5,2,6]=>[1,4,2,6,3,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,4,3,7,5,6,2]=>[1,4,2,3,7,5,6]=>{{1},{2,3,4},{5,6,7}}=>{{1},{2,3,4},{5,6,7}}
[1,4,3,7,6,2,5]=>[1,4,2,5,3,7,6]=>{{1},{2,3,4,5},{6,7}}=>{{1},{2,3,4,5},{6,7}}
[1,4,3,7,6,5,2]=>[1,4,2,3,7,5,6]=>{{1},{2,3,4},{5,6,7}}=>{{1},{2,3,4},{5,6,7}}
[1,4,5,2,3,6,7]=>[1,4,5,2,3,6,7]=>{{1},{2,4},{3,5},{6},{7}}=>{{1},{2,5},{3,4},{6},{7}}
[1,4,5,2,3,7,6]=>[1,4,5,2,3,7,6]=>{{1},{2,4},{3,5},{6,7}}=>{{1},{2,5},{3,4},{6,7}}
[1,4,5,2,6,3,7]=>[1,4,5,2,6,3,7]=>{{1},{2,4},{3,5,6},{7}}=>{{1},{2,5,6},{3,4},{7}}
[1,4,5,2,6,7,3]=>[1,4,5,2,6,7,3]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[1,4,5,2,7,3,6]=>[1,4,5,2,7,3,6]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[1,4,5,2,7,6,3]=>[1,4,5,2,7,3,6]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[1,4,5,3,2,6,7]=>[1,4,5,2,6,7,3]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[1,4,5,3,2,7,6]=>[1,4,5,2,7,3,6]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[1,4,5,3,6,2,7]=>[1,4,5,2,7,3,6]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[1,4,5,3,6,7,2]=>[1,4,5,2,3,6,7]=>{{1},{2,4},{3,5},{6},{7}}=>{{1},{2,5},{3,4},{6},{7}}
[1,4,5,3,7,2,6]=>[1,4,5,2,6,3,7]=>{{1},{2,4},{3,5,6},{7}}=>{{1},{2,5,6},{3,4},{7}}
[1,4,5,3,7,6,2]=>[1,4,5,2,3,7,6]=>{{1},{2,4},{3,5},{6,7}}=>{{1},{2,5},{3,4},{6,7}}
[1,4,5,6,2,3,7]=>[1,4,5,6,2,3,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[1,4,5,6,2,7,3]=>[1,4,5,6,2,7,3]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,4,5,6,3,2,7]=>[1,4,5,6,2,7,3]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,4,5,6,3,7,2]=>[1,4,5,6,2,3,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[1,4,5,6,7,2,3]=>[1,4,5,6,7,2,3]=>{{1},{2,4,6},{3,5,7}}=>{{1},{2,7},{3,4,5,6}}
[1,4,5,6,7,3,2]=>[1,4,5,6,7,2,3]=>{{1},{2,4,6},{3,5,7}}=>{{1},{2,7},{3,4,5,6}}
[1,4,5,7,2,3,6]=>[1,4,5,7,2,3,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,4,5,7,2,6,3]=>[1,4,5,7,2,6,3]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[1,4,5,7,3,2,6]=>[1,4,5,7,2,6,3]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[1,4,5,7,3,6,2]=>[1,4,5,7,2,3,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,4,5,7,6,2,3]=>[1,4,5,7,2,3,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,4,5,7,6,3,2]=>[1,4,5,7,2,3,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,4,6,2,3,5,7]=>[1,4,6,2,3,5,7]=>{{1},{2,4},{3,5,6},{7}}=>{{1},{2,5,6},{3,4},{7}}
[1,4,6,2,3,7,5]=>[1,4,6,2,3,7,5]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[1,4,6,2,5,3,7]=>[1,4,6,2,5,3,7]=>{{1},{2,4},{3,6},{5},{7}}=>{{1},{2,6},{3,4},{5},{7}}
[1,4,6,2,5,7,3]=>[1,4,6,2,5,7,3]=>{{1},{2,4},{3,6,7},{5}}=>{{1},{2,6,7},{3,4},{5}}
[1,4,6,2,7,3,5]=>[1,4,6,2,7,3,5]=>{{1},{2,4},{3,6},{5,7}}=>{{1},{2,7},{3,4},{5,6}}
[1,4,6,2,7,5,3]=>[1,4,6,2,7,3,5]=>{{1},{2,4},{3,6},{5,7}}=>{{1},{2,7},{3,4},{5,6}}
[1,4,6,3,2,5,7]=>[1,4,6,2,5,7,3]=>{{1},{2,4},{3,6,7},{5}}=>{{1},{2,6,7},{3,4},{5}}
[1,4,6,3,2,7,5]=>[1,4,6,2,7,3,5]=>{{1},{2,4},{3,6},{5,7}}=>{{1},{2,7},{3,4},{5,6}}
[1,4,6,3,5,2,7]=>[1,4,6,2,7,3,5]=>{{1},{2,4},{3,6},{5,7}}=>{{1},{2,7},{3,4},{5,6}}
[1,4,6,3,5,7,2]=>[1,4,6,2,3,5,7]=>{{1},{2,4},{3,5,6},{7}}=>{{1},{2,5,6},{3,4},{7}}
[1,4,6,3,7,2,5]=>[1,4,6,2,5,3,7]=>{{1},{2,4},{3,6},{5},{7}}=>{{1},{2,6},{3,4},{5},{7}}
[1,4,6,3,7,5,2]=>[1,4,6,2,3,7,5]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[1,4,6,5,2,3,7]=>[1,4,6,2,3,7,5]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[1,4,6,5,2,7,3]=>[1,4,6,2,7,3,5]=>{{1},{2,4},{3,6},{5,7}}=>{{1},{2,7},{3,4},{5,6}}
[1,4,6,5,3,2,7]=>[1,4,6,2,7,3,5]=>{{1},{2,4},{3,6},{5,7}}=>{{1},{2,7},{3,4},{5,6}}
[1,4,6,5,3,7,2]=>[1,4,6,2,3,7,5]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[1,4,6,5,7,2,3]=>[1,4,6,2,3,5,7]=>{{1},{2,4},{3,5,6},{7}}=>{{1},{2,5,6},{3,4},{7}}
[1,4,6,5,7,3,2]=>[1,4,6,2,3,5,7]=>{{1},{2,4},{3,5,6},{7}}=>{{1},{2,5,6},{3,4},{7}}
[1,4,6,7,2,3,5]=>[1,4,6,7,2,3,5]=>{{1},{2,4,5,7},{3,6}}=>{{1},{2,5,6},{3,4,7}}
[1,4,6,7,2,5,3]=>[1,4,6,7,2,5,3]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,4,6,7,3,2,5]=>[1,4,6,7,2,5,3]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,4,6,7,3,5,2]=>[1,4,6,7,2,3,5]=>{{1},{2,4,5,7},{3,6}}=>{{1},{2,5,6},{3,4,7}}
[1,4,6,7,5,2,3]=>[1,4,6,7,2,3,5]=>{{1},{2,4,5,7},{3,6}}=>{{1},{2,5,6},{3,4,7}}
[1,4,6,7,5,3,2]=>[1,4,6,7,2,3,5]=>{{1},{2,4,5,7},{3,6}}=>{{1},{2,5,6},{3,4,7}}
[1,4,7,2,3,5,6]=>[1,4,7,2,3,5,6]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[1,4,7,2,3,6,5]=>[1,4,7,2,3,6,5]=>{{1},{2,4},{3,5,7},{6}}=>{{1},{2,5,7},{3,4},{6}}
[1,4,7,2,5,3,6]=>[1,4,7,2,5,3,6]=>{{1},{2,4},{3,6,7},{5}}=>{{1},{2,6,7},{3,4},{5}}
[1,4,7,2,5,6,3]=>[1,4,7,2,5,6,3]=>{{1},{2,4},{3,7},{5},{6}}=>{{1},{2,7},{3,4},{5},{6}}
[1,4,7,2,6,3,5]=>[1,4,7,2,6,3,5]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[1,4,7,2,6,5,3]=>[1,4,7,2,6,3,5]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[1,4,7,3,2,5,6]=>[1,4,7,2,5,6,3]=>{{1},{2,4},{3,7},{5},{6}}=>{{1},{2,7},{3,4},{5},{6}}
[1,4,7,3,2,6,5]=>[1,4,7,2,6,3,5]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[1,4,7,3,5,2,6]=>[1,4,7,2,6,3,5]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[1,4,7,3,5,6,2]=>[1,4,7,2,3,5,6]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[1,4,7,3,6,2,5]=>[1,4,7,2,5,3,6]=>{{1},{2,4},{3,6,7},{5}}=>{{1},{2,6,7},{3,4},{5}}
[1,4,7,3,6,5,2]=>[1,4,7,2,3,6,5]=>{{1},{2,4},{3,5,7},{6}}=>{{1},{2,5,7},{3,4},{6}}
[1,4,7,5,2,3,6]=>[1,4,7,2,3,6,5]=>{{1},{2,4},{3,5,7},{6}}=>{{1},{2,5,7},{3,4},{6}}
[1,4,7,5,2,6,3]=>[1,4,7,2,6,3,5]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[1,4,7,5,3,2,6]=>[1,4,7,2,6,3,5]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[1,4,7,5,3,6,2]=>[1,4,7,2,3,6,5]=>{{1},{2,4},{3,5,7},{6}}=>{{1},{2,5,7},{3,4},{6}}
[1,4,7,5,6,2,3]=>[1,4,7,2,3,5,6]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[1,4,7,5,6,3,2]=>[1,4,7,2,3,5,6]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[1,4,7,6,2,3,5]=>[1,4,7,2,3,5,6]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[1,4,7,6,2,5,3]=>[1,4,7,2,5,3,6]=>{{1},{2,4},{3,6,7},{5}}=>{{1},{2,6,7},{3,4},{5}}
[1,4,7,6,3,2,5]=>[1,4,7,2,5,3,6]=>{{1},{2,4},{3,6,7},{5}}=>{{1},{2,6,7},{3,4},{5}}
[1,4,7,6,3,5,2]=>[1,4,7,2,3,5,6]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[1,4,7,6,5,2,3]=>[1,4,7,2,3,5,6]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[1,4,7,6,5,3,2]=>[1,4,7,2,3,5,6]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>{{1},{2,3,4,5},{6,7}}=>{{1},{2,3,4,5},{6,7}}
[1,5,2,3,6,4,7]=>[1,5,2,3,6,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[1,5,2,3,6,7,4]=>[1,5,2,3,6,7,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,5,2,3,7,4,6]=>[1,5,2,3,7,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,5,2,3,7,6,4]=>[1,5,2,3,7,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,5,2,4,3,6,7]=>[1,5,2,4,3,6,7]=>{{1},{2,3,5},{4},{6},{7}}=>{{1},{2,3,5},{4},{6},{7}}
[1,5,2,4,3,7,6]=>[1,5,2,4,3,7,6]=>{{1},{2,3,5},{4},{6,7}}=>{{1},{2,3,5},{4},{6,7}}
[1,5,2,4,6,3,7]=>[1,5,2,4,6,3,7]=>{{1},{2,3,5,6},{4},{7}}=>{{1},{2,3,5,6},{4},{7}}
[1,5,2,4,6,7,3]=>[1,5,2,4,6,7,3]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[1,5,2,4,7,3,6]=>[1,5,2,4,7,3,6]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[1,5,2,4,7,6,3]=>[1,5,2,4,7,3,6]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[1,5,2,6,3,4,7]=>[1,5,2,6,3,4,7]=>{{1},{2,3,5},{4,6},{7}}=>{{1},{2,3,6},{4,5},{7}}
[1,5,2,6,3,7,4]=>[1,5,2,6,3,7,4]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[1,5,2,6,4,3,7]=>[1,5,2,6,3,7,4]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[1,5,2,6,4,7,3]=>[1,5,2,6,3,4,7]=>{{1},{2,3,5},{4,6},{7}}=>{{1},{2,3,6},{4,5},{7}}
[1,5,2,6,7,3,4]=>[1,5,2,6,7,3,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,5,2,6,7,4,3]=>[1,5,2,6,7,3,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,5,2,7,3,4,6]=>[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[1,5,2,7,3,6,4]=>[1,5,2,7,3,6,4]=>{{1},{2,3,5},{4,7},{6}}=>{{1},{2,3,7},{4,5},{6}}
[1,5,2,7,4,3,6]=>[1,5,2,7,3,6,4]=>{{1},{2,3,5},{4,7},{6}}=>{{1},{2,3,7},{4,5},{6}}
[1,5,2,7,4,6,3]=>[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[1,5,2,7,6,3,4]=>[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[1,5,2,7,6,4,3]=>[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[1,5,3,2,4,6,7]=>[1,5,2,4,6,7,3]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[1,5,3,2,4,7,6]=>[1,5,2,4,7,3,6]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[1,5,3,2,6,4,7]=>[1,5,2,6,3,4,7]=>{{1},{2,3,5},{4,6},{7}}=>{{1},{2,3,6},{4,5},{7}}
[1,5,3,2,6,7,4]=>[1,5,2,6,7,3,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,5,3,2,7,4,6]=>[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[1,5,3,2,7,6,4]=>[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[1,5,3,4,2,6,7]=>[1,5,2,6,7,3,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,5,3,4,2,7,6]=>[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[1,5,3,4,6,2,7]=>[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[1,5,3,4,6,7,2]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[1,5,3,4,7,2,6]=>[1,5,2,6,3,4,7]=>{{1},{2,3,5},{4,6},{7}}=>{{1},{2,3,6},{4,5},{7}}
[1,5,3,4,7,6,2]=>[1,5,2,3,4,7,6]=>{{1},{2,3,4,5},{6,7}}=>{{1},{2,3,4,5},{6,7}}
[1,5,3,6,2,4,7]=>[1,5,2,4,7,3,6]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[1,5,3,6,2,7,4]=>[1,5,2,7,3,6,4]=>{{1},{2,3,5},{4,7},{6}}=>{{1},{2,3,7},{4,5},{6}}
[1,5,3,6,4,2,7]=>[1,5,2,7,3,6,4]=>{{1},{2,3,5},{4,7},{6}}=>{{1},{2,3,7},{4,5},{6}}
[1,5,3,6,4,7,2]=>[1,5,2,3,6,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[1,5,3,6,7,2,4]=>[1,5,2,4,3,6,7]=>{{1},{2,3,5},{4},{6},{7}}=>{{1},{2,3,5},{4},{6},{7}}
[1,5,3,6,7,4,2]=>[1,5,2,3,6,7,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,5,3,7,2,4,6]=>[1,5,2,4,6,3,7]=>{{1},{2,3,5,6},{4},{7}}=>{{1},{2,3,5,6},{4},{7}}
[1,5,3,7,2,6,4]=>[1,5,2,6,3,7,4]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[1,5,3,7,4,2,6]=>[1,5,2,6,3,7,4]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[1,5,3,7,4,6,2]=>[1,5,2,3,7,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,5,3,7,6,2,4]=>[1,5,2,4,3,7,6]=>{{1},{2,3,5},{4},{6,7}}=>{{1},{2,3,5},{4},{6,7}}
[1,5,3,7,6,4,2]=>[1,5,2,3,7,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,5,4,2,3,6,7]=>[1,5,2,3,6,7,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,5,4,2,3,7,6]=>[1,5,2,3,7,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,5,4,2,6,3,7]=>[1,5,2,6,3,7,4]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[1,5,4,2,6,7,3]=>[1,5,2,6,7,3,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,5,4,2,7,3,6]=>[1,5,2,7,3,6,4]=>{{1},{2,3,5},{4,7},{6}}=>{{1},{2,3,7},{4,5},{6}}
[1,5,4,2,7,6,3]=>[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[1,5,4,3,2,6,7]=>[1,5,2,6,7,3,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,5,4,3,2,7,6]=>[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[1,5,4,3,6,2,7]=>[1,5,2,7,3,6,4]=>{{1},{2,3,5},{4,7},{6}}=>{{1},{2,3,7},{4,5},{6}}
[1,5,4,3,6,7,2]=>[1,5,2,3,6,7,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,5,4,3,7,2,6]=>[1,5,2,6,3,7,4]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[1,5,4,3,7,6,2]=>[1,5,2,3,7,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,5,4,6,2,3,7]=>[1,5,2,3,7,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,5,4,6,2,7,3]=>[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[1,5,4,6,3,2,7]=>[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[1,5,4,6,3,7,2]=>[1,5,2,3,7,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,5,4,6,7,2,3]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[1,5,4,6,7,3,2]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[1,5,4,7,2,3,6]=>[1,5,2,3,6,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[1,5,4,7,2,6,3]=>[1,5,2,6,3,4,7]=>{{1},{2,3,5},{4,6},{7}}=>{{1},{2,3,6},{4,5},{7}}
[1,5,4,7,3,2,6]=>[1,5,2,6,3,4,7]=>{{1},{2,3,5},{4,6},{7}}=>{{1},{2,3,6},{4,5},{7}}
[1,5,4,7,3,6,2]=>[1,5,2,3,6,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[1,5,4,7,6,2,3]=>[1,5,2,3,4,7,6]=>{{1},{2,3,4,5},{6,7}}=>{{1},{2,3,4,5},{6,7}}
[1,5,4,7,6,3,2]=>[1,5,2,3,4,7,6]=>{{1},{2,3,4,5},{6,7}}=>{{1},{2,3,4,5},{6,7}}
[1,5,6,2,3,4,7]=>[1,5,6,2,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[1,5,6,2,3,7,4]=>[1,5,6,2,3,7,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,5,6,2,4,3,7]=>[1,5,6,2,4,3,7]=>{{1},{2,4,5},{3,6},{7}}=>{{1},{2,5},{3,4,6},{7}}
[1,5,6,2,4,7,3]=>[1,5,6,2,4,7,3]=>{{1},{2,4,5},{3,6,7}}=>{{1},{2,5},{3,4,6,7}}
[1,5,6,2,7,3,4]=>[1,5,6,2,7,3,4]=>{{1},{2,4,5,7},{3,6}}=>{{1},{2,5,6},{3,4,7}}
[1,5,6,2,7,4,3]=>[1,5,6,2,7,3,4]=>{{1},{2,4,5,7},{3,6}}=>{{1},{2,5,6},{3,4,7}}
[1,5,6,3,2,4,7]=>[1,5,6,2,4,7,3]=>{{1},{2,4,5},{3,6,7}}=>{{1},{2,5},{3,4,6,7}}
[1,5,6,3,2,7,4]=>[1,5,6,2,7,3,4]=>{{1},{2,4,5,7},{3,6}}=>{{1},{2,5,6},{3,4,7}}
[1,5,6,3,4,2,7]=>[1,5,6,2,7,3,4]=>{{1},{2,4,5,7},{3,6}}=>{{1},{2,5,6},{3,4,7}}
[1,5,6,3,4,7,2]=>[1,5,6,2,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[1,5,6,3,7,2,4]=>[1,5,6,2,4,3,7]=>{{1},{2,4,5},{3,6},{7}}=>{{1},{2,5},{3,4,6},{7}}
[1,5,6,3,7,4,2]=>[1,5,6,2,3,7,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,5,6,4,2,3,7]=>[1,5,6,2,3,7,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,5,6,4,2,7,3]=>[1,5,6,2,7,3,4]=>{{1},{2,4,5,7},{3,6}}=>{{1},{2,5,6},{3,4,7}}
[1,5,6,4,3,2,7]=>[1,5,6,2,7,3,4]=>{{1},{2,4,5,7},{3,6}}=>{{1},{2,5,6},{3,4,7}}
[1,5,6,4,3,7,2]=>[1,5,6,2,3,7,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,5,6,4,7,2,3]=>[1,5,6,2,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[1,5,6,4,7,3,2]=>[1,5,6,2,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[1,5,6,7,2,3,4]=>[1,5,6,7,2,3,4]=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,5,6,7,2,4,3]=>[1,5,6,7,2,4,3]=>{{1},{2,5},{3,4,6,7}}=>{{1},{2,4,5},{3,6,7}}
[1,5,6,7,3,2,4]=>[1,5,6,7,2,4,3]=>{{1},{2,5},{3,4,6,7}}=>{{1},{2,4,5},{3,6,7}}
[1,5,6,7,3,4,2]=>[1,5,6,7,2,3,4]=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,5,6,7,4,2,3]=>[1,5,6,7,2,3,4]=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,5,6,7,4,3,2]=>[1,5,6,7,2,3,4]=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[1,5,7,2,3,4,6]=>[1,5,7,2,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,5,7,2,3,6,4]=>[1,5,7,2,3,6,4]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[1,5,7,2,4,3,6]=>[1,5,7,2,4,3,6]=>{{1},{2,4,5},{3,6,7}}=>{{1},{2,5},{3,4,6,7}}
[1,5,7,2,4,6,3]=>[1,5,7,2,4,6,3]=>{{1},{2,4,5},{3,7},{6}}=>{{1},{2,5},{3,4,7},{6}}
[1,5,7,2,6,3,4]=>[1,5,7,2,6,3,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,5,7,2,6,4,3]=>[1,5,7,2,6,3,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,5,7,3,2,4,6]=>[1,5,7,2,4,6,3]=>{{1},{2,4,5},{3,7},{6}}=>{{1},{2,5},{3,4,7},{6}}
[1,5,7,3,2,6,4]=>[1,5,7,2,6,3,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,5,7,3,4,2,6]=>[1,5,7,2,6,3,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,5,7,3,4,6,2]=>[1,5,7,2,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,5,7,3,6,2,4]=>[1,5,7,2,4,3,6]=>{{1},{2,4,5},{3,6,7}}=>{{1},{2,5},{3,4,6,7}}
[1,5,7,3,6,4,2]=>[1,5,7,2,3,6,4]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[1,5,7,4,2,3,6]=>[1,5,7,2,3,6,4]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[1,5,7,4,2,6,3]=>[1,5,7,2,6,3,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,5,7,4,3,2,6]=>[1,5,7,2,6,3,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,5,7,4,3,6,2]=>[1,5,7,2,3,6,4]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[1,5,7,4,6,2,3]=>[1,5,7,2,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,5,7,4,6,3,2]=>[1,5,7,2,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,5,7,6,2,3,4]=>[1,5,7,2,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,5,7,6,2,4,3]=>[1,5,7,2,4,3,6]=>{{1},{2,4,5},{3,6,7}}=>{{1},{2,5},{3,4,6,7}}
[1,5,7,6,3,2,4]=>[1,5,7,2,4,3,6]=>{{1},{2,4,5},{3,6,7}}=>{{1},{2,5},{3,4,6,7}}
[1,5,7,6,3,4,2]=>[1,5,7,2,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,5,7,6,4,2,3]=>[1,5,7,2,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,5,7,6,4,3,2]=>[1,5,7,2,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[1,6,2,3,4,7,5]=>[1,6,2,3,4,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,6,2,3,5,4,7]=>[1,6,2,3,5,4,7]=>{{1},{2,3,4,6},{5},{7}}=>{{1},{2,3,4,6},{5},{7}}
[1,6,2,3,5,7,4]=>[1,6,2,3,5,7,4]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[1,6,2,3,7,4,5]=>[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[1,6,2,3,7,5,4]=>[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[1,6,2,4,3,5,7]=>[1,6,2,4,3,5,7]=>{{1},{2,3,5,6},{4},{7}}=>{{1},{2,3,5,6},{4},{7}}
[1,6,2,4,3,7,5]=>[1,6,2,4,3,7,5]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[1,6,2,4,5,3,7]=>[1,6,2,4,5,3,7]=>{{1},{2,3,6},{4},{5},{7}}=>{{1},{2,3,6},{4},{5},{7}}
[1,6,2,4,5,7,3]=>[1,6,2,4,5,7,3]=>{{1},{2,3,6,7},{4},{5}}=>{{1},{2,3,6,7},{4},{5}}
[1,6,2,4,7,3,5]=>[1,6,2,4,7,3,5]=>{{1},{2,3,6},{4},{5,7}}=>{{1},{2,3,7},{4},{5,6}}
[1,6,2,4,7,5,3]=>[1,6,2,4,7,3,5]=>{{1},{2,3,6},{4},{5,7}}=>{{1},{2,3,7},{4},{5,6}}
[1,6,2,5,3,4,7]=>[1,6,2,5,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[1,6,2,5,3,7,4]=>[1,6,2,5,3,7,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,6,2,5,4,3,7]=>[1,6,2,5,3,7,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,6,2,5,4,7,3]=>[1,6,2,5,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[1,6,2,5,7,3,4]=>[1,6,2,5,7,3,4]=>{{1},{2,3,6},{4,5,7}}=>{{1},{2,3,5,6},{4,7}}
[1,6,2,5,7,4,3]=>[1,6,2,5,7,3,4]=>{{1},{2,3,6},{4,5,7}}=>{{1},{2,3,5,6},{4,7}}
[1,6,2,7,3,4,5]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,6,2,7,3,5,4]=>[1,6,2,7,3,5,4]=>{{1},{2,3,5,6},{4,7}}=>{{1},{2,3,6},{4,5,7}}
[1,6,2,7,4,3,5]=>[1,6,2,7,3,5,4]=>{{1},{2,3,5,6},{4,7}}=>{{1},{2,3,6},{4,5,7}}
[1,6,2,7,4,5,3]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,6,2,7,5,3,4]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,6,2,7,5,4,3]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,6,3,2,4,5,7]=>[1,6,2,4,5,7,3]=>{{1},{2,3,6,7},{4},{5}}=>{{1},{2,3,6,7},{4},{5}}
[1,6,3,2,4,7,5]=>[1,6,2,4,7,3,5]=>{{1},{2,3,6},{4},{5,7}}=>{{1},{2,3,7},{4},{5,6}}
[1,6,3,2,5,4,7]=>[1,6,2,5,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[1,6,3,2,5,7,4]=>[1,6,2,5,7,3,4]=>{{1},{2,3,6},{4,5,7}}=>{{1},{2,3,5,6},{4,7}}
[1,6,3,2,7,4,5]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,6,3,2,7,5,4]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,6,3,4,2,5,7]=>[1,6,2,5,7,3,4]=>{{1},{2,3,6},{4,5,7}}=>{{1},{2,3,5,6},{4,7}}
[1,6,3,4,2,7,5]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,6,3,4,5,2,7]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,6,3,4,5,7,2]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[1,6,3,4,7,2,5]=>[1,6,2,5,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[1,6,3,4,7,5,2]=>[1,6,2,3,4,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,6,3,5,2,4,7]=>[1,6,2,4,7,3,5]=>{{1},{2,3,6},{4},{5,7}}=>{{1},{2,3,7},{4},{5,6}}
[1,6,3,5,2,7,4]=>[1,6,2,7,3,5,4]=>{{1},{2,3,5,6},{4,7}}=>{{1},{2,3,6},{4,5,7}}
[1,6,3,5,4,2,7]=>[1,6,2,7,3,5,4]=>{{1},{2,3,5,6},{4,7}}=>{{1},{2,3,6},{4,5,7}}
[1,6,3,5,4,7,2]=>[1,6,2,3,5,4,7]=>{{1},{2,3,4,6},{5},{7}}=>{{1},{2,3,4,6},{5},{7}}
[1,6,3,5,7,2,4]=>[1,6,2,4,3,5,7]=>{{1},{2,3,5,6},{4},{7}}=>{{1},{2,3,5,6},{4},{7}}
[1,6,3,5,7,4,2]=>[1,6,2,3,5,7,4]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[1,6,3,7,2,4,5]=>[1,6,2,4,5,3,7]=>{{1},{2,3,6},{4},{5},{7}}=>{{1},{2,3,6},{4},{5},{7}}
[1,6,3,7,2,5,4]=>[1,6,2,5,3,7,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,6,3,7,4,2,5]=>[1,6,2,5,3,7,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,6,3,7,4,5,2]=>[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[1,6,3,7,5,2,4]=>[1,6,2,4,3,7,5]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[1,6,3,7,5,4,2]=>[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[1,6,4,2,3,5,7]=>[1,6,2,3,5,7,4]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[1,6,4,2,3,7,5]=>[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[1,6,4,2,5,3,7]=>[1,6,2,5,3,7,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,6,4,2,5,7,3]=>[1,6,2,5,7,3,4]=>{{1},{2,3,6},{4,5,7}}=>{{1},{2,3,5,6},{4,7}}
[1,6,4,2,7,3,5]=>[1,6,2,7,3,5,4]=>{{1},{2,3,5,6},{4,7}}=>{{1},{2,3,6},{4,5,7}}
[1,6,4,2,7,5,3]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,6,4,3,2,5,7]=>[1,6,2,5,7,3,4]=>{{1},{2,3,6},{4,5,7}}=>{{1},{2,3,5,6},{4,7}}
[1,6,4,3,2,7,5]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,6,4,3,5,2,7]=>[1,6,2,7,3,5,4]=>{{1},{2,3,5,6},{4,7}}=>{{1},{2,3,6},{4,5,7}}
[1,6,4,3,5,7,2]=>[1,6,2,3,5,7,4]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[1,6,4,3,7,2,5]=>[1,6,2,5,3,7,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,6,4,3,7,5,2]=>[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[1,6,4,5,2,3,7]=>[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[1,6,4,5,2,7,3]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,6,4,5,3,2,7]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,6,4,5,3,7,2]=>[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[1,6,4,5,7,2,3]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[1,6,4,5,7,3,2]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[1,6,4,7,2,3,5]=>[1,6,2,3,5,4,7]=>{{1},{2,3,4,6},{5},{7}}=>{{1},{2,3,4,6},{5},{7}}
[1,6,4,7,2,5,3]=>[1,6,2,5,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[1,6,4,7,3,2,5]=>[1,6,2,5,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[1,6,4,7,3,5,2]=>[1,6,2,3,5,4,7]=>{{1},{2,3,4,6},{5},{7}}=>{{1},{2,3,4,6},{5},{7}}
[1,6,4,7,5,2,3]=>[1,6,2,3,4,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,6,4,7,5,3,2]=>[1,6,2,3,4,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,6,5,2,3,4,7]=>[1,6,2,3,4,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,6,5,2,3,7,4]=>[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[1,6,5,2,4,3,7]=>[1,6,2,4,3,7,5]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[1,6,5,2,4,7,3]=>[1,6,2,4,7,3,5]=>{{1},{2,3,6},{4},{5,7}}=>{{1},{2,3,7},{4},{5,6}}
[1,6,5,2,7,3,4]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,6,5,2,7,4,3]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,6,5,3,2,4,7]=>[1,6,2,4,7,3,5]=>{{1},{2,3,6},{4},{5,7}}=>{{1},{2,3,7},{4},{5,6}}
[1,6,5,3,2,7,4]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,6,5,3,4,2,7]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,6,5,3,4,7,2]=>[1,6,2,3,4,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,6,5,3,7,2,4]=>[1,6,2,4,3,7,5]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[1,6,5,3,7,4,2]=>[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[1,6,5,4,2,3,7]=>[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[1,6,5,4,2,7,3]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,6,5,4,3,2,7]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,6,5,4,3,7,2]=>[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[1,6,5,4,7,2,3]=>[1,6,2,3,4,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,6,5,4,7,3,2]=>[1,6,2,3,4,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,6,5,7,2,3,4]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[1,6,5,7,2,4,3]=>[1,6,2,4,3,5,7]=>{{1},{2,3,5,6},{4},{7}}=>{{1},{2,3,5,6},{4},{7}}
[1,6,5,7,3,2,4]=>[1,6,2,4,3,5,7]=>{{1},{2,3,5,6},{4},{7}}=>{{1},{2,3,5,6},{4},{7}}
[1,6,5,7,3,4,2]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[1,6,5,7,4,2,3]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[1,6,5,7,4,3,2]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[1,6,7,2,3,4,5]=>[1,6,7,2,3,4,5]=>{{1},{2,4,6},{3,5,7}}=>{{1},{2,7},{3,4,5,6}}
[1,6,7,2,3,5,4]=>[1,6,7,2,3,5,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,6,7,2,4,3,5]=>[1,6,7,2,4,3,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,6,7,2,4,5,3]=>[1,6,7,2,4,5,3]=>{{1},{2,4,5,6},{3,7}}=>{{1},{2,5,7},{3,4,6}}
[1,6,7,2,5,3,4]=>[1,6,7,2,5,3,4]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[1,6,7,2,5,4,3]=>[1,6,7,2,5,3,4]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[1,6,7,3,2,4,5]=>[1,6,7,2,4,5,3]=>{{1},{2,4,5,6},{3,7}}=>{{1},{2,5,7},{3,4,6}}
[1,6,7,3,2,5,4]=>[1,6,7,2,5,3,4]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[1,6,7,3,4,2,5]=>[1,6,7,2,5,3,4]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[1,6,7,3,4,5,2]=>[1,6,7,2,3,4,5]=>{{1},{2,4,6},{3,5,7}}=>{{1},{2,7},{3,4,5,6}}
[1,6,7,3,5,2,4]=>[1,6,7,2,4,3,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,6,7,3,5,4,2]=>[1,6,7,2,3,5,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,6,7,4,2,3,5]=>[1,6,7,2,3,5,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,6,7,4,2,5,3]=>[1,6,7,2,5,3,4]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[1,6,7,4,3,2,5]=>[1,6,7,2,5,3,4]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[1,6,7,4,3,5,2]=>[1,6,7,2,3,5,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,6,7,4,5,2,3]=>[1,6,7,2,3,4,5]=>{{1},{2,4,6},{3,5,7}}=>{{1},{2,7},{3,4,5,6}}
[1,6,7,4,5,3,2]=>[1,6,7,2,3,4,5]=>{{1},{2,4,6},{3,5,7}}=>{{1},{2,7},{3,4,5,6}}
[1,6,7,5,2,3,4]=>[1,6,7,2,3,4,5]=>{{1},{2,4,6},{3,5,7}}=>{{1},{2,7},{3,4,5,6}}
[1,6,7,5,2,4,3]=>[1,6,7,2,4,3,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,6,7,5,3,2,4]=>[1,6,7,2,4,3,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,6,7,5,3,4,2]=>[1,6,7,2,3,4,5]=>{{1},{2,4,6},{3,5,7}}=>{{1},{2,7},{3,4,5,6}}
[1,6,7,5,4,2,3]=>[1,6,7,2,3,4,5]=>{{1},{2,4,6},{3,5,7}}=>{{1},{2,7},{3,4,5,6}}
[1,6,7,5,4,3,2]=>[1,6,7,2,3,4,5]=>{{1},{2,4,6},{3,5,7}}=>{{1},{2,7},{3,4,5,6}}
[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,7,2,3,4,6,5]=>[1,7,2,3,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[1,7,2,3,5,4,6]=>[1,7,2,3,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[1,7,2,3,5,6,4]=>[1,7,2,3,5,6,4]=>{{1},{2,3,4,7},{5},{6}}=>{{1},{2,3,4,7},{5},{6}}
[1,7,2,3,6,4,5]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,7,2,3,6,5,4]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,7,2,4,3,5,6]=>[1,7,2,4,3,5,6]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[1,7,2,4,3,6,5]=>[1,7,2,4,3,6,5]=>{{1},{2,3,5,7},{4},{6}}=>{{1},{2,3,5,7},{4},{6}}
[1,7,2,4,5,3,6]=>[1,7,2,4,5,3,6]=>{{1},{2,3,6,7},{4},{5}}=>{{1},{2,3,6,7},{4},{5}}
[1,7,2,4,5,6,3]=>[1,7,2,4,5,6,3]=>{{1},{2,3,7},{4},{5},{6}}=>{{1},{2,3,7},{4},{5},{6}}
[1,7,2,4,6,3,5]=>[1,7,2,4,6,3,5]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[1,7,2,4,6,5,3]=>[1,7,2,4,6,3,5]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[1,7,2,5,3,4,6]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,7,2,5,3,6,4]=>[1,7,2,5,3,6,4]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[1,7,2,5,4,3,6]=>[1,7,2,5,3,6,4]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[1,7,2,5,4,6,3]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,7,2,5,6,3,4]=>[1,7,2,5,6,3,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,7,2,5,6,4,3]=>[1,7,2,5,6,3,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,7,2,6,3,4,5]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[1,7,2,6,3,5,4]=>[1,7,2,6,3,5,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,7,2,6,4,3,5]=>[1,7,2,6,3,5,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,7,2,6,4,5,3]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[1,7,2,6,5,3,4]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[1,7,2,6,5,4,3]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[1,7,3,2,4,5,6]=>[1,7,2,4,5,6,3]=>{{1},{2,3,7},{4},{5},{6}}=>{{1},{2,3,7},{4},{5},{6}}
[1,7,3,2,4,6,5]=>[1,7,2,4,6,3,5]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[1,7,3,2,5,4,6]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,7,3,2,5,6,4]=>[1,7,2,5,6,3,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,7,3,2,6,4,5]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[1,7,3,2,6,5,4]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[1,7,3,4,2,5,6]=>[1,7,2,5,6,3,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,7,3,4,2,6,5]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[1,7,3,4,5,2,6]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[1,7,3,4,5,6,2]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,7,3,4,6,2,5]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,7,3,4,6,5,2]=>[1,7,2,3,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[1,7,3,5,2,4,6]=>[1,7,2,4,6,3,5]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[1,7,3,5,2,6,4]=>[1,7,2,6,3,5,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,7,3,5,4,2,6]=>[1,7,2,6,3,5,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,7,3,5,4,6,2]=>[1,7,2,3,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[1,7,3,5,6,2,4]=>[1,7,2,4,3,5,6]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[1,7,3,5,6,4,2]=>[1,7,2,3,5,6,4]=>{{1},{2,3,4,7},{5},{6}}=>{{1},{2,3,4,7},{5},{6}}
[1,7,3,6,2,4,5]=>[1,7,2,4,5,3,6]=>{{1},{2,3,6,7},{4},{5}}=>{{1},{2,3,6,7},{4},{5}}
[1,7,3,6,2,5,4]=>[1,7,2,5,3,6,4]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[1,7,3,6,4,2,5]=>[1,7,2,5,3,6,4]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[1,7,3,6,4,5,2]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,7,3,6,5,2,4]=>[1,7,2,4,3,6,5]=>{{1},{2,3,5,7},{4},{6}}=>{{1},{2,3,5,7},{4},{6}}
[1,7,3,6,5,4,2]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,7,4,2,3,5,6]=>[1,7,2,3,5,6,4]=>{{1},{2,3,4,7},{5},{6}}=>{{1},{2,3,4,7},{5},{6}}
[1,7,4,2,3,6,5]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,7,4,2,5,3,6]=>[1,7,2,5,3,6,4]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[1,7,4,2,5,6,3]=>[1,7,2,5,6,3,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,7,4,2,6,3,5]=>[1,7,2,6,3,5,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,7,4,2,6,5,3]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[1,7,4,3,2,5,6]=>[1,7,2,5,6,3,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,7,4,3,2,6,5]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[1,7,4,3,5,2,6]=>[1,7,2,6,3,5,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,7,4,3,5,6,2]=>[1,7,2,3,5,6,4]=>{{1},{2,3,4,7},{5},{6}}=>{{1},{2,3,4,7},{5},{6}}
[1,7,4,3,6,2,5]=>[1,7,2,5,3,6,4]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[1,7,4,3,6,5,2]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,7,4,5,2,3,6]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,7,4,5,2,6,3]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[1,7,4,5,3,2,6]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[1,7,4,5,3,6,2]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,7,4,5,6,2,3]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,7,4,5,6,3,2]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,7,4,6,2,3,5]=>[1,7,2,3,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[1,7,4,6,2,5,3]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,7,4,6,3,2,5]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,7,4,6,3,5,2]=>[1,7,2,3,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[1,7,4,6,5,2,3]=>[1,7,2,3,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[1,7,4,6,5,3,2]=>[1,7,2,3,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[1,7,5,2,3,4,6]=>[1,7,2,3,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[1,7,5,2,3,6,4]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,7,5,2,4,3,6]=>[1,7,2,4,3,6,5]=>{{1},{2,3,5,7},{4},{6}}=>{{1},{2,3,5,7},{4},{6}}
[1,7,5,2,4,6,3]=>[1,7,2,4,6,3,5]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[1,7,5,2,6,3,4]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[1,7,5,2,6,4,3]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[1,7,5,3,2,4,6]=>[1,7,2,4,6,3,5]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[1,7,5,3,2,6,4]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[1,7,5,3,4,2,6]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[1,7,5,3,4,6,2]=>[1,7,2,3,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[1,7,5,3,6,2,4]=>[1,7,2,4,3,6,5]=>{{1},{2,3,5,7},{4},{6}}=>{{1},{2,3,5,7},{4},{6}}
[1,7,5,3,6,4,2]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,7,5,4,2,3,6]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,7,5,4,2,6,3]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[1,7,5,4,3,2,6]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[1,7,5,4,3,6,2]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,7,5,4,6,2,3]=>[1,7,2,3,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[1,7,5,4,6,3,2]=>[1,7,2,3,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[1,7,5,6,2,3,4]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,7,5,6,2,4,3]=>[1,7,2,4,3,5,6]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[1,7,5,6,3,2,4]=>[1,7,2,4,3,5,6]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[1,7,5,6,3,4,2]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,7,5,6,4,2,3]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,7,5,6,4,3,2]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,7,6,2,3,4,5]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,7,6,2,3,5,4]=>[1,7,2,3,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[1,7,6,2,4,3,5]=>[1,7,2,4,3,5,6]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[1,7,6,2,4,5,3]=>[1,7,2,4,5,3,6]=>{{1},{2,3,6,7},{4},{5}}=>{{1},{2,3,6,7},{4},{5}}
[1,7,6,2,5,3,4]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,7,6,2,5,4,3]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,7,6,3,2,4,5]=>[1,7,2,4,5,3,6]=>{{1},{2,3,6,7},{4},{5}}=>{{1},{2,3,6,7},{4},{5}}
[1,7,6,3,2,5,4]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,7,6,3,4,2,5]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,7,6,3,4,5,2]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,7,6,3,5,2,4]=>[1,7,2,4,3,5,6]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[1,7,6,3,5,4,2]=>[1,7,2,3,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[1,7,6,4,2,3,5]=>[1,7,2,3,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[1,7,6,4,2,5,3]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,7,6,4,3,2,5]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,7,6,4,3,5,2]=>[1,7,2,3,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[1,7,6,4,5,2,3]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,7,6,4,5,3,2]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,7,6,5,2,3,4]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,7,6,5,2,4,3]=>[1,7,2,4,3,5,6]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[1,7,6,5,3,2,4]=>[1,7,2,4,3,5,6]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[1,7,6,5,3,4,2]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,7,6,5,4,2,3]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[1,7,6,5,4,3,2]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,1,3,4,5,6,7]=>[1,3,4,5,6,7,2]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,1,3,4,5,7,6]=>[1,3,4,5,7,2,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,1,3,4,6,5,7]=>[1,3,4,6,2,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[2,1,3,4,6,7,5]=>[1,3,4,6,7,2,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[2,1,3,4,7,5,6]=>[1,3,4,7,2,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,1,3,4,7,6,5]=>[1,3,4,7,2,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,1,3,5,4,6,7]=>[1,3,5,2,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[2,1,3,5,4,7,6]=>[1,3,5,2,4,7,6]=>{{1},{2,3,4,5},{6,7}}=>{{1},{2,3,4,5},{6,7}}
[2,1,3,5,6,4,7]=>[1,3,5,6,2,4,7]=>{{1},{2,3,5},{4,6},{7}}=>{{1},{2,3,6},{4,5},{7}}
[2,1,3,5,6,7,4]=>[1,3,5,6,7,2,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,1,3,5,7,4,6]=>[1,3,5,7,2,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[2,1,3,5,7,6,4]=>[1,3,5,7,2,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[2,1,3,6,4,5,7]=>[1,3,6,2,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[2,1,3,6,4,7,5]=>[1,3,6,2,4,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,1,3,6,5,4,7]=>[1,3,6,2,4,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,1,3,6,5,7,4]=>[1,3,6,2,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[2,1,3,6,7,4,5]=>[1,3,6,7,2,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,1,3,6,7,5,4]=>[1,3,6,7,2,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,1,3,7,4,5,6]=>[1,3,7,2,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,1,3,7,4,6,5]=>[1,3,7,2,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[2,1,3,7,5,4,6]=>[1,3,7,2,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[2,1,3,7,5,6,4]=>[1,3,7,2,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,1,3,7,6,4,5]=>[1,3,7,2,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,1,3,7,6,5,4]=>[1,3,7,2,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,1,4,3,5,6,7]=>[1,4,2,3,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>{{1},{2,3,4},{5},{6},{7}}
[2,1,4,3,5,7,6]=>[1,4,2,3,5,7,6]=>{{1},{2,3,4},{5},{6,7}}=>{{1},{2,3,4},{5},{6,7}}
[2,1,4,3,6,5,7]=>[1,4,2,3,6,5,7]=>{{1},{2,3,4},{5,6},{7}}=>{{1},{2,3,4},{5,6},{7}}
[2,1,4,3,6,7,5]=>[1,4,2,3,6,7,5]=>{{1},{2,3,4},{5,6,7}}=>{{1},{2,3,4},{5,6,7}}
[2,1,4,3,7,5,6]=>[1,4,2,3,7,5,6]=>{{1},{2,3,4},{5,6,7}}=>{{1},{2,3,4},{5,6,7}}
[2,1,4,3,7,6,5]=>[1,4,2,3,7,5,6]=>{{1},{2,3,4},{5,6,7}}=>{{1},{2,3,4},{5,6,7}}
[2,1,4,5,3,6,7]=>[1,4,5,2,3,6,7]=>{{1},{2,4},{3,5},{6},{7}}=>{{1},{2,5},{3,4},{6},{7}}
[2,1,4,5,3,7,6]=>[1,4,5,2,3,7,6]=>{{1},{2,4},{3,5},{6,7}}=>{{1},{2,5},{3,4},{6,7}}
[2,1,4,5,6,3,7]=>[1,4,5,6,2,3,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[2,1,4,5,6,7,3]=>[1,4,5,6,7,2,3]=>{{1},{2,4,6},{3,5,7}}=>{{1},{2,7},{3,4,5,6}}
[2,1,4,5,7,3,6]=>[1,4,5,7,2,3,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,1,4,5,7,6,3]=>[1,4,5,7,2,3,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,1,4,6,3,5,7]=>[1,4,6,2,3,5,7]=>{{1},{2,4},{3,5,6},{7}}=>{{1},{2,5,6},{3,4},{7}}
[2,1,4,6,3,7,5]=>[1,4,6,2,3,7,5]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[2,1,4,6,5,3,7]=>[1,4,6,2,3,7,5]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[2,1,4,6,5,7,3]=>[1,4,6,2,3,5,7]=>{{1},{2,4},{3,5,6},{7}}=>{{1},{2,5,6},{3,4},{7}}
[2,1,4,6,7,3,5]=>[1,4,6,7,2,3,5]=>{{1},{2,4,5,7},{3,6}}=>{{1},{2,5,6},{3,4,7}}
[2,1,4,6,7,5,3]=>[1,4,6,7,2,3,5]=>{{1},{2,4,5,7},{3,6}}=>{{1},{2,5,6},{3,4,7}}
[2,1,4,7,3,5,6]=>[1,4,7,2,3,5,6]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[2,1,4,7,3,6,5]=>[1,4,7,2,3,6,5]=>{{1},{2,4},{3,5,7},{6}}=>{{1},{2,5,7},{3,4},{6}}
[2,1,4,7,5,3,6]=>[1,4,7,2,3,6,5]=>{{1},{2,4},{3,5,7},{6}}=>{{1},{2,5,7},{3,4},{6}}
[2,1,4,7,5,6,3]=>[1,4,7,2,3,5,6]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[2,1,4,7,6,3,5]=>[1,4,7,2,3,5,6]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[2,1,4,7,6,5,3]=>[1,4,7,2,3,5,6]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[2,1,5,3,4,6,7]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[2,1,5,3,4,7,6]=>[1,5,2,3,4,7,6]=>{{1},{2,3,4,5},{6,7}}=>{{1},{2,3,4,5},{6,7}}
[2,1,5,3,6,4,7]=>[1,5,2,3,6,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[2,1,5,3,6,7,4]=>[1,5,2,3,6,7,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,1,5,3,7,4,6]=>[1,5,2,3,7,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,1,5,3,7,6,4]=>[1,5,2,3,7,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,1,5,4,3,6,7]=>[1,5,2,3,6,7,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,1,5,4,3,7,6]=>[1,5,2,3,7,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,1,5,4,6,3,7]=>[1,5,2,3,7,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,1,5,4,6,7,3]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[2,1,5,4,7,3,6]=>[1,5,2,3,6,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[2,1,5,4,7,6,3]=>[1,5,2,3,4,7,6]=>{{1},{2,3,4,5},{6,7}}=>{{1},{2,3,4,5},{6,7}}
[2,1,5,6,3,4,7]=>[1,5,6,2,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[2,1,5,6,3,7,4]=>[1,5,6,2,3,7,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,1,5,6,4,3,7]=>[1,5,6,2,3,7,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,1,5,6,4,7,3]=>[1,5,6,2,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[2,1,5,6,7,3,4]=>[1,5,6,7,2,3,4]=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[2,1,5,6,7,4,3]=>[1,5,6,7,2,3,4]=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[2,1,5,7,3,4,6]=>[1,5,7,2,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,1,5,7,3,6,4]=>[1,5,7,2,3,6,4]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[2,1,5,7,4,3,6]=>[1,5,7,2,3,6,4]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[2,1,5,7,4,6,3]=>[1,5,7,2,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,1,5,7,6,3,4]=>[1,5,7,2,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,1,5,7,6,4,3]=>[1,5,7,2,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,1,6,3,4,5,7]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[2,1,6,3,4,7,5]=>[1,6,2,3,4,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,1,6,3,5,4,7]=>[1,6,2,3,5,4,7]=>{{1},{2,3,4,6},{5},{7}}=>{{1},{2,3,4,6},{5},{7}}
[2,1,6,3,5,7,4]=>[1,6,2,3,5,7,4]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[2,1,6,3,7,4,5]=>[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[2,1,6,3,7,5,4]=>[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[2,1,6,4,3,5,7]=>[1,6,2,3,5,7,4]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[2,1,6,4,3,7,5]=>[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[2,1,6,4,5,3,7]=>[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[2,1,6,4,5,7,3]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[2,1,6,4,7,3,5]=>[1,6,2,3,5,4,7]=>{{1},{2,3,4,6},{5},{7}}=>{{1},{2,3,4,6},{5},{7}}
[2,1,6,4,7,5,3]=>[1,6,2,3,4,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,1,6,5,3,4,7]=>[1,6,2,3,4,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,1,6,5,3,7,4]=>[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[2,1,6,5,4,3,7]=>[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[2,1,6,5,4,7,3]=>[1,6,2,3,4,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,1,6,5,7,3,4]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[2,1,6,5,7,4,3]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[2,1,6,7,3,4,5]=>[1,6,7,2,3,4,5]=>{{1},{2,4,6},{3,5,7}}=>{{1},{2,7},{3,4,5,6}}
[2,1,6,7,3,5,4]=>[1,6,7,2,3,5,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,1,6,7,4,3,5]=>[1,6,7,2,3,5,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,1,6,7,4,5,3]=>[1,6,7,2,3,4,5]=>{{1},{2,4,6},{3,5,7}}=>{{1},{2,7},{3,4,5,6}}
[2,1,6,7,5,3,4]=>[1,6,7,2,3,4,5]=>{{1},{2,4,6},{3,5,7}}=>{{1},{2,7},{3,4,5,6}}
[2,1,6,7,5,4,3]=>[1,6,7,2,3,4,5]=>{{1},{2,4,6},{3,5,7}}=>{{1},{2,7},{3,4,5,6}}
[2,1,7,3,4,5,6]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,1,7,3,4,6,5]=>[1,7,2,3,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[2,1,7,3,5,4,6]=>[1,7,2,3,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[2,1,7,3,5,6,4]=>[1,7,2,3,5,6,4]=>{{1},{2,3,4,7},{5},{6}}=>{{1},{2,3,4,7},{5},{6}}
[2,1,7,3,6,4,5]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,1,7,3,6,5,4]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,1,7,4,3,5,6]=>[1,7,2,3,5,6,4]=>{{1},{2,3,4,7},{5},{6}}=>{{1},{2,3,4,7},{5},{6}}
[2,1,7,4,3,6,5]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,1,7,4,5,3,6]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,1,7,4,5,6,3]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,1,7,4,6,3,5]=>[1,7,2,3,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[2,1,7,4,6,5,3]=>[1,7,2,3,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[2,1,7,5,3,4,6]=>[1,7,2,3,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[2,1,7,5,3,6,4]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,1,7,5,4,3,6]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,1,7,5,4,6,3]=>[1,7,2,3,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[2,1,7,5,6,3,4]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,1,7,5,6,4,3]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,1,7,6,3,4,5]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,1,7,6,3,5,4]=>[1,7,2,3,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[2,1,7,6,4,3,5]=>[1,7,2,3,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[2,1,7,6,4,5,3]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,1,7,6,5,3,4]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,1,7,6,5,4,3]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,3,1,4,5,6,7]=>[1,4,5,6,7,2,3]=>{{1},{2,4,6},{3,5,7}}=>{{1},{2,7},{3,4,5,6}}
[2,3,1,4,5,7,6]=>[1,4,5,7,2,3,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,3,1,4,6,5,7]=>[1,4,6,2,3,5,7]=>{{1},{2,4},{3,5,6},{7}}=>{{1},{2,5,6},{3,4},{7}}
[2,3,1,4,6,7,5]=>[1,4,6,7,2,3,5]=>{{1},{2,4,5,7},{3,6}}=>{{1},{2,5,6},{3,4,7}}
[2,3,1,4,7,5,6]=>[1,4,7,2,3,5,6]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[2,3,1,4,7,6,5]=>[1,4,7,2,3,5,6]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[2,3,1,5,4,6,7]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[2,3,1,5,4,7,6]=>[1,5,2,3,4,7,6]=>{{1},{2,3,4,5},{6,7}}=>{{1},{2,3,4,5},{6,7}}
[2,3,1,5,6,4,7]=>[1,5,6,2,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[2,3,1,5,6,7,4]=>[1,5,6,7,2,3,4]=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[2,3,1,5,7,4,6]=>[1,5,7,2,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,3,1,5,7,6,4]=>[1,5,7,2,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,3,1,6,4,5,7]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[2,3,1,6,4,7,5]=>[1,6,2,3,4,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,3,1,6,5,4,7]=>[1,6,2,3,4,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,3,1,6,5,7,4]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[2,3,1,6,7,4,5]=>[1,6,7,2,3,4,5]=>{{1},{2,4,6},{3,5,7}}=>{{1},{2,7},{3,4,5,6}}
[2,3,1,6,7,5,4]=>[1,6,7,2,3,4,5]=>{{1},{2,4,6},{3,5,7}}=>{{1},{2,7},{3,4,5,6}}
[2,3,1,7,4,5,6]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,3,1,7,4,6,5]=>[1,7,2,3,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[2,3,1,7,5,4,6]=>[1,7,2,3,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[2,3,1,7,5,6,4]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,3,1,7,6,4,5]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,3,1,7,6,5,4]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,3,4,1,5,6,7]=>[1,5,6,7,2,3,4]=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[2,3,4,1,5,7,6]=>[1,5,7,2,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,3,4,1,6,5,7]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[2,3,4,1,6,7,5]=>[1,6,7,2,3,4,5]=>{{1},{2,4,6},{3,5,7}}=>{{1},{2,7},{3,4,5,6}}
[2,3,4,1,7,5,6]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,3,4,1,7,6,5]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,3,4,5,1,6,7]=>[1,6,7,2,3,4,5]=>{{1},{2,4,6},{3,5,7}}=>{{1},{2,7},{3,4,5,6}}
[2,3,4,5,1,7,6]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,3,4,5,6,1,7]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,3,4,5,6,7,1]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[2,3,4,5,7,1,6]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[2,3,4,5,7,6,1]=>[1,2,3,4,5,7,6]=>{{1},{2},{3},{4},{5},{6,7}}=>{{1},{2},{3},{4},{5},{6,7}}
[2,3,4,6,1,5,7]=>[1,5,7,2,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,3,4,6,1,7,5]=>[1,7,2,3,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[2,3,4,6,5,1,7]=>[1,7,2,3,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[2,3,4,6,5,7,1]=>[1,2,3,4,6,5,7]=>{{1},{2},{3},{4},{5,6},{7}}=>{{1},{2},{3},{4},{5,6},{7}}
[2,3,4,6,7,1,5]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[2,3,4,6,7,5,1]=>[1,2,3,4,6,7,5]=>{{1},{2},{3},{4},{5,6,7}}=>{{1},{2},{3},{4},{5,6,7}}
[2,3,4,7,1,5,6]=>[1,5,6,2,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[2,3,4,7,1,6,5]=>[1,6,2,3,4,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,3,4,7,5,1,6]=>[1,6,2,3,4,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,3,4,7,5,6,1]=>[1,2,3,4,7,5,6]=>{{1},{2},{3},{4},{5,6,7}}=>{{1},{2},{3},{4},{5,6,7}}
[2,3,4,7,6,1,5]=>[1,5,2,3,4,7,6]=>{{1},{2,3,4,5},{6,7}}=>{{1},{2,3,4,5},{6,7}}
[2,3,4,7,6,5,1]=>[1,2,3,4,7,5,6]=>{{1},{2},{3},{4},{5,6,7}}=>{{1},{2},{3},{4},{5,6,7}}
[2,3,5,1,4,6,7]=>[1,4,6,7,2,3,5]=>{{1},{2,4,5,7},{3,6}}=>{{1},{2,5,6},{3,4,7}}
[2,3,5,1,4,7,6]=>[1,4,7,2,3,5,6]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[2,3,5,1,6,4,7]=>[1,6,2,3,5,4,7]=>{{1},{2,3,4,6},{5},{7}}=>{{1},{2,3,4,6},{5},{7}}
[2,3,5,1,6,7,4]=>[1,6,7,2,3,5,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,3,5,1,7,4,6]=>[1,7,2,3,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[2,3,5,1,7,6,4]=>[1,7,2,3,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[2,3,5,4,1,6,7]=>[1,6,7,2,3,5,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,3,5,4,1,7,6]=>[1,7,2,3,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[2,3,5,4,6,1,7]=>[1,7,2,3,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[2,3,5,4,6,7,1]=>[1,2,3,5,4,6,7]=>{{1},{2},{3},{4,5},{6},{7}}=>{{1},{2},{3},{4,5},{6},{7}}
[2,3,5,4,7,1,6]=>[1,6,2,3,5,4,7]=>{{1},{2,3,4,6},{5},{7}}=>{{1},{2,3,4,6},{5},{7}}
[2,3,5,4,7,6,1]=>[1,2,3,5,4,7,6]=>{{1},{2},{3},{4,5},{6,7}}=>{{1},{2},{3},{4,5},{6,7}}
[2,3,5,6,1,4,7]=>[1,4,7,2,3,5,6]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[2,3,5,6,1,7,4]=>[1,7,2,3,5,6,4]=>{{1},{2,3,4,7},{5},{6}}=>{{1},{2,3,4,7},{5},{6}}
[2,3,5,6,4,1,7]=>[1,7,2,3,5,6,4]=>{{1},{2,3,4,7},{5},{6}}=>{{1},{2,3,4,7},{5},{6}}
[2,3,5,6,4,7,1]=>[1,2,3,5,6,4,7]=>{{1},{2},{3},{4,5,6},{7}}=>{{1},{2},{3},{4,5,6},{7}}
[2,3,5,6,7,1,4]=>[1,4,2,3,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>{{1},{2,3,4},{5},{6},{7}}
[2,3,5,6,7,4,1]=>[1,2,3,5,6,7,4]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[2,3,5,7,1,4,6]=>[1,4,6,2,3,5,7]=>{{1},{2,4},{3,5,6},{7}}=>{{1},{2,5,6},{3,4},{7}}
[2,3,5,7,1,6,4]=>[1,6,2,3,5,7,4]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[2,3,5,7,4,1,6]=>[1,6,2,3,5,7,4]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[2,3,5,7,4,6,1]=>[1,2,3,5,7,4,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[2,3,5,7,6,1,4]=>[1,4,2,3,5,7,6]=>{{1},{2,3,4},{5},{6,7}}=>{{1},{2,3,4},{5},{6,7}}
[2,3,5,7,6,4,1]=>[1,2,3,5,7,4,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[2,3,6,1,4,5,7]=>[1,4,5,7,2,3,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,3,6,1,4,7,5]=>[1,4,7,2,3,6,5]=>{{1},{2,4},{3,5,7},{6}}=>{{1},{2,5,7},{3,4},{6}}
[2,3,6,1,5,4,7]=>[1,5,2,3,6,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[2,3,6,1,5,7,4]=>[1,5,7,2,3,6,4]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[2,3,6,1,7,4,5]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,3,6,1,7,5,4]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,3,6,4,1,5,7]=>[1,5,7,2,3,6,4]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[2,3,6,4,1,7,5]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,3,6,4,5,1,7]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,3,6,4,5,7,1]=>[1,2,3,6,4,5,7]=>{{1},{2},{3},{4,5,6},{7}}=>{{1},{2},{3},{4,5,6},{7}}
[2,3,6,4,7,1,5]=>[1,5,2,3,6,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[2,3,6,4,7,5,1]=>[1,2,3,6,4,7,5]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[2,3,6,5,1,4,7]=>[1,4,7,2,3,6,5]=>{{1},{2,4},{3,5,7},{6}}=>{{1},{2,5,7},{3,4},{6}}
[2,3,6,5,1,7,4]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,3,6,5,4,1,7]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,3,6,5,4,7,1]=>[1,2,3,6,4,7,5]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[2,3,6,5,7,1,4]=>[1,4,2,3,6,5,7]=>{{1},{2,3,4},{5,6},{7}}=>{{1},{2,3,4},{5,6},{7}}
[2,3,6,5,7,4,1]=>[1,2,3,6,4,5,7]=>{{1},{2},{3},{4,5,6},{7}}=>{{1},{2},{3},{4,5,6},{7}}
[2,3,6,7,1,4,5]=>[1,4,5,2,3,6,7]=>{{1},{2,4},{3,5},{6},{7}}=>{{1},{2,5},{3,4},{6},{7}}
[2,3,6,7,1,5,4]=>[1,5,2,3,6,7,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,3,6,7,4,1,5]=>[1,5,2,3,6,7,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,3,6,7,4,5,1]=>[1,2,3,6,7,4,5]=>{{1},{2},{3},{4,6},{5,7}}=>{{1},{2},{3},{4,7},{5,6}}
[2,3,6,7,5,1,4]=>[1,4,2,3,6,7,5]=>{{1},{2,3,4},{5,6,7}}=>{{1},{2,3,4},{5,6,7}}
[2,3,6,7,5,4,1]=>[1,2,3,6,7,4,5]=>{{1},{2},{3},{4,6},{5,7}}=>{{1},{2},{3},{4,7},{5,6}}
[2,3,7,1,4,5,6]=>[1,4,5,6,2,3,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[2,3,7,1,4,6,5]=>[1,4,6,2,3,7,5]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[2,3,7,1,5,4,6]=>[1,5,2,3,7,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,3,7,1,5,6,4]=>[1,5,6,2,3,7,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,3,7,1,6,4,5]=>[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[2,3,7,1,6,5,4]=>[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[2,3,7,4,1,5,6]=>[1,5,6,2,3,7,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,3,7,4,1,6,5]=>[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[2,3,7,4,5,1,6]=>[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[2,3,7,4,5,6,1]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[2,3,7,4,6,1,5]=>[1,5,2,3,7,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,3,7,4,6,5,1]=>[1,2,3,7,4,6,5]=>{{1},{2},{3},{4,5,7},{6}}=>{{1},{2},{3},{4,5,7},{6}}
[2,3,7,5,1,4,6]=>[1,4,6,2,3,7,5]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[2,3,7,5,1,6,4]=>[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[2,3,7,5,4,1,6]=>[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[2,3,7,5,4,6,1]=>[1,2,3,7,4,6,5]=>{{1},{2},{3},{4,5,7},{6}}=>{{1},{2},{3},{4,5,7},{6}}
[2,3,7,5,6,1,4]=>[1,4,2,3,7,5,6]=>{{1},{2,3,4},{5,6,7}}=>{{1},{2,3,4},{5,6,7}}
[2,3,7,5,6,4,1]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[2,3,7,6,1,4,5]=>[1,4,5,2,3,7,6]=>{{1},{2,4},{3,5},{6,7}}=>{{1},{2,5},{3,4},{6,7}}
[2,3,7,6,1,5,4]=>[1,5,2,3,7,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,3,7,6,4,1,5]=>[1,5,2,3,7,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,3,7,6,4,5,1]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[2,3,7,6,5,1,4]=>[1,4,2,3,7,5,6]=>{{1},{2,3,4},{5,6,7}}=>{{1},{2,3,4},{5,6,7}}
[2,3,7,6,5,4,1]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[2,4,1,3,5,6,7]=>[1,3,5,6,7,2,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,4,1,3,5,7,6]=>[1,3,5,7,2,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[2,4,1,3,6,5,7]=>[1,3,6,2,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[2,4,1,3,6,7,5]=>[1,3,6,7,2,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,4,1,3,7,5,6]=>[1,3,7,2,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,4,1,3,7,6,5]=>[1,3,7,2,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,4,1,5,3,6,7]=>[1,5,2,4,3,6,7]=>{{1},{2,3,5},{4},{6},{7}}=>{{1},{2,3,5},{4},{6},{7}}
[2,4,1,5,3,7,6]=>[1,5,2,4,3,7,6]=>{{1},{2,3,5},{4},{6,7}}=>{{1},{2,3,5},{4},{6,7}}
[2,4,1,5,6,3,7]=>[1,5,6,2,4,3,7]=>{{1},{2,4,5},{3,6},{7}}=>{{1},{2,5},{3,4,6},{7}}
[2,4,1,5,6,7,3]=>[1,5,6,7,2,4,3]=>{{1},{2,5},{3,4,6,7}}=>{{1},{2,4,5},{3,6,7}}
[2,4,1,5,7,3,6]=>[1,5,7,2,4,3,6]=>{{1},{2,4,5},{3,6,7}}=>{{1},{2,5},{3,4,6,7}}
[2,4,1,5,7,6,3]=>[1,5,7,2,4,3,6]=>{{1},{2,4,5},{3,6,7}}=>{{1},{2,5},{3,4,6,7}}
[2,4,1,6,3,5,7]=>[1,6,2,4,3,5,7]=>{{1},{2,3,5,6},{4},{7}}=>{{1},{2,3,5,6},{4},{7}}
[2,4,1,6,3,7,5]=>[1,6,2,4,3,7,5]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[2,4,1,6,5,3,7]=>[1,6,2,4,3,7,5]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[2,4,1,6,5,7,3]=>[1,6,2,4,3,5,7]=>{{1},{2,3,5,6},{4},{7}}=>{{1},{2,3,5,6},{4},{7}}
[2,4,1,6,7,3,5]=>[1,6,7,2,4,3,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,4,1,6,7,5,3]=>[1,6,7,2,4,3,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,4,1,7,3,5,6]=>[1,7,2,4,3,5,6]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[2,4,1,7,3,6,5]=>[1,7,2,4,3,6,5]=>{{1},{2,3,5,7},{4},{6}}=>{{1},{2,3,5,7},{4},{6}}
[2,4,1,7,5,3,6]=>[1,7,2,4,3,6,5]=>{{1},{2,3,5,7},{4},{6}}=>{{1},{2,3,5,7},{4},{6}}
[2,4,1,7,5,6,3]=>[1,7,2,4,3,5,6]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[2,4,1,7,6,3,5]=>[1,7,2,4,3,5,6]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[2,4,1,7,6,5,3]=>[1,7,2,4,3,5,6]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[2,4,3,1,5,6,7]=>[1,5,6,7,2,4,3]=>{{1},{2,5},{3,4,6,7}}=>{{1},{2,4,5},{3,6,7}}
[2,4,3,1,5,7,6]=>[1,5,7,2,4,3,6]=>{{1},{2,4,5},{3,6,7}}=>{{1},{2,5},{3,4,6,7}}
[2,4,3,1,6,5,7]=>[1,6,2,4,3,5,7]=>{{1},{2,3,5,6},{4},{7}}=>{{1},{2,3,5,6},{4},{7}}
[2,4,3,1,6,7,5]=>[1,6,7,2,4,3,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,4,3,1,7,5,6]=>[1,7,2,4,3,5,6]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[2,4,3,1,7,6,5]=>[1,7,2,4,3,5,6]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[2,4,3,5,1,6,7]=>[1,6,7,2,4,3,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,4,3,5,1,7,6]=>[1,7,2,4,3,5,6]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[2,4,3,5,6,1,7]=>[1,7,2,4,3,5,6]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[2,4,3,5,6,7,1]=>[1,2,4,3,5,6,7]=>{{1},{2},{3,4},{5},{6},{7}}=>{{1},{2},{3,4},{5},{6},{7}}
[2,4,3,5,7,1,6]=>[1,6,2,4,3,5,7]=>{{1},{2,3,5,6},{4},{7}}=>{{1},{2,3,5,6},{4},{7}}
[2,4,3,5,7,6,1]=>[1,2,4,3,5,7,6]=>{{1},{2},{3,4},{5},{6,7}}=>{{1},{2},{3,4},{5},{6,7}}
[2,4,3,6,1,5,7]=>[1,5,7,2,4,3,6]=>{{1},{2,4,5},{3,6,7}}=>{{1},{2,5},{3,4,6,7}}
[2,4,3,6,1,7,5]=>[1,7,2,4,3,6,5]=>{{1},{2,3,5,7},{4},{6}}=>{{1},{2,3,5,7},{4},{6}}
[2,4,3,6,5,1,7]=>[1,7,2,4,3,6,5]=>{{1},{2,3,5,7},{4},{6}}=>{{1},{2,3,5,7},{4},{6}}
[2,4,3,6,5,7,1]=>[1,2,4,3,6,5,7]=>{{1},{2},{3,4},{5,6},{7}}=>{{1},{2},{3,4},{5,6},{7}}
[2,4,3,6,7,1,5]=>[1,5,2,4,3,6,7]=>{{1},{2,3,5},{4},{6},{7}}=>{{1},{2,3,5},{4},{6},{7}}
[2,4,3,6,7,5,1]=>[1,2,4,3,6,7,5]=>{{1},{2},{3,4},{5,6,7}}=>{{1},{2},{3,4},{5,6,7}}
[2,4,3,7,1,5,6]=>[1,5,6,2,4,3,7]=>{{1},{2,4,5},{3,6},{7}}=>{{1},{2,5},{3,4,6},{7}}
[2,4,3,7,1,6,5]=>[1,6,2,4,3,7,5]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[2,4,3,7,5,1,6]=>[1,6,2,4,3,7,5]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[2,4,3,7,5,6,1]=>[1,2,4,3,7,5,6]=>{{1},{2},{3,4},{5,6,7}}=>{{1},{2},{3,4},{5,6,7}}
[2,4,3,7,6,1,5]=>[1,5,2,4,3,7,6]=>{{1},{2,3,5},{4},{6,7}}=>{{1},{2,3,5},{4},{6,7}}
[2,4,3,7,6,5,1]=>[1,2,4,3,7,5,6]=>{{1},{2},{3,4},{5,6,7}}=>{{1},{2},{3,4},{5,6,7}}
[2,4,5,1,3,6,7]=>[1,3,6,7,2,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,4,5,1,3,7,6]=>[1,3,7,2,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,4,5,1,6,3,7]=>[1,6,2,4,5,3,7]=>{{1},{2,3,6},{4},{5},{7}}=>{{1},{2,3,6},{4},{5},{7}}
[2,4,5,1,6,7,3]=>[1,6,7,2,4,5,3]=>{{1},{2,4,5,6},{3,7}}=>{{1},{2,5,7},{3,4,6}}
[2,4,5,1,7,3,6]=>[1,7,2,4,5,3,6]=>{{1},{2,3,6,7},{4},{5}}=>{{1},{2,3,6,7},{4},{5}}
[2,4,5,1,7,6,3]=>[1,7,2,4,5,3,6]=>{{1},{2,3,6,7},{4},{5}}=>{{1},{2,3,6,7},{4},{5}}
[2,4,5,3,1,6,7]=>[1,6,7,2,4,5,3]=>{{1},{2,4,5,6},{3,7}}=>{{1},{2,5,7},{3,4,6}}
[2,4,5,3,1,7,6]=>[1,7,2,4,5,3,6]=>{{1},{2,3,6,7},{4},{5}}=>{{1},{2,3,6,7},{4},{5}}
[2,4,5,3,6,1,7]=>[1,7,2,4,5,3,6]=>{{1},{2,3,6,7},{4},{5}}=>{{1},{2,3,6,7},{4},{5}}
[2,4,5,3,6,7,1]=>[1,2,4,5,3,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6},{7}}
[2,4,5,3,7,1,6]=>[1,6,2,4,5,3,7]=>{{1},{2,3,6},{4},{5},{7}}=>{{1},{2,3,6},{4},{5},{7}}
[2,4,5,3,7,6,1]=>[1,2,4,5,3,7,6]=>{{1},{2},{3,4,5},{6,7}}=>{{1},{2},{3,4,5},{6,7}}
[2,4,5,6,1,3,7]=>[1,3,7,2,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,4,5,6,1,7,3]=>[1,7,2,4,5,6,3]=>{{1},{2,3,7},{4},{5},{6}}=>{{1},{2,3,7},{4},{5},{6}}
[2,4,5,6,3,1,7]=>[1,7,2,4,5,6,3]=>{{1},{2,3,7},{4},{5},{6}}=>{{1},{2,3,7},{4},{5},{6}}
[2,4,5,6,3,7,1]=>[1,2,4,5,6,3,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[2,4,5,6,7,1,3]=>[1,3,2,4,5,6,7]=>{{1},{2,3},{4},{5},{6},{7}}=>{{1},{2,3},{4},{5},{6},{7}}
[2,4,5,6,7,3,1]=>[1,2,4,5,6,7,3]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[2,4,5,7,1,3,6]=>[1,3,6,2,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[2,4,5,7,1,6,3]=>[1,6,2,4,5,7,3]=>{{1},{2,3,6,7},{4},{5}}=>{{1},{2,3,6,7},{4},{5}}
[2,4,5,7,3,1,6]=>[1,6,2,4,5,7,3]=>{{1},{2,3,6,7},{4},{5}}=>{{1},{2,3,6,7},{4},{5}}
[2,4,5,7,3,6,1]=>[1,2,4,5,7,3,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[2,4,5,7,6,1,3]=>[1,3,2,4,5,7,6]=>{{1},{2,3},{4},{5},{6,7}}=>{{1},{2,3},{4},{5},{6,7}}
[2,4,5,7,6,3,1]=>[1,2,4,5,7,3,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[2,4,6,1,3,5,7]=>[1,3,5,7,2,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[2,4,6,1,3,7,5]=>[1,3,7,2,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[2,4,6,1,5,3,7]=>[1,5,2,4,6,3,7]=>{{1},{2,3,5,6},{4},{7}}=>{{1},{2,3,5,6},{4},{7}}
[2,4,6,1,5,7,3]=>[1,5,7,2,4,6,3]=>{{1},{2,4,5},{3,7},{6}}=>{{1},{2,5},{3,4,7},{6}}
[2,4,6,1,7,3,5]=>[1,7,2,4,6,3,5]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[2,4,6,1,7,5,3]=>[1,7,2,4,6,3,5]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[2,4,6,3,1,5,7]=>[1,5,7,2,4,6,3]=>{{1},{2,4,5},{3,7},{6}}=>{{1},{2,5},{3,4,7},{6}}
[2,4,6,3,1,7,5]=>[1,7,2,4,6,3,5]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[2,4,6,3,5,1,7]=>[1,7,2,4,6,3,5]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[2,4,6,3,5,7,1]=>[1,2,4,6,3,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[2,4,6,3,7,1,5]=>[1,5,2,4,6,3,7]=>{{1},{2,3,5,6},{4},{7}}=>{{1},{2,3,5,6},{4},{7}}
[2,4,6,3,7,5,1]=>[1,2,4,6,3,7,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[2,4,6,5,1,3,7]=>[1,3,7,2,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[2,4,6,5,1,7,3]=>[1,7,2,4,6,3,5]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[2,4,6,5,3,1,7]=>[1,7,2,4,6,3,5]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[2,4,6,5,3,7,1]=>[1,2,4,6,3,7,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[2,4,6,5,7,1,3]=>[1,3,2,4,6,5,7]=>{{1},{2,3},{4},{5,6},{7}}=>{{1},{2,3},{4},{5,6},{7}}
[2,4,6,5,7,3,1]=>[1,2,4,6,3,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[2,4,6,7,1,3,5]=>[1,3,5,2,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[2,4,6,7,1,5,3]=>[1,5,2,4,6,7,3]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[2,4,6,7,3,1,5]=>[1,5,2,4,6,7,3]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[2,4,6,7,3,5,1]=>[1,2,4,6,7,3,5]=>{{1},{2},{3,4,6},{5,7}}=>{{1},{2},{3,4,7},{5,6}}
[2,4,6,7,5,1,3]=>[1,3,2,4,6,7,5]=>{{1},{2,3},{4},{5,6,7}}=>{{1},{2,3},{4},{5,6,7}}
[2,4,6,7,5,3,1]=>[1,2,4,6,7,3,5]=>{{1},{2},{3,4,6},{5,7}}=>{{1},{2},{3,4,7},{5,6}}
[2,4,7,1,3,5,6]=>[1,3,5,6,2,4,7]=>{{1},{2,3,5},{4,6},{7}}=>{{1},{2,3,6},{4,5},{7}}
[2,4,7,1,3,6,5]=>[1,3,6,2,4,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,4,7,1,5,3,6]=>[1,5,2,4,7,3,6]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[2,4,7,1,5,6,3]=>[1,5,6,2,4,7,3]=>{{1},{2,4,5},{3,6,7}}=>{{1},{2,5},{3,4,6,7}}
[2,4,7,1,6,3,5]=>[1,6,2,4,7,3,5]=>{{1},{2,3,6},{4},{5,7}}=>{{1},{2,3,7},{4},{5,6}}
[2,4,7,1,6,5,3]=>[1,6,2,4,7,3,5]=>{{1},{2,3,6},{4},{5,7}}=>{{1},{2,3,7},{4},{5,6}}
[2,4,7,3,1,5,6]=>[1,5,6,2,4,7,3]=>{{1},{2,4,5},{3,6,7}}=>{{1},{2,5},{3,4,6,7}}
[2,4,7,3,1,6,5]=>[1,6,2,4,7,3,5]=>{{1},{2,3,6},{4},{5,7}}=>{{1},{2,3,7},{4},{5,6}}
[2,4,7,3,5,1,6]=>[1,6,2,4,7,3,5]=>{{1},{2,3,6},{4},{5,7}}=>{{1},{2,3,7},{4},{5,6}}
[2,4,7,3,5,6,1]=>[1,2,4,7,3,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[2,4,7,3,6,1,5]=>[1,5,2,4,7,3,6]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[2,4,7,3,6,5,1]=>[1,2,4,7,3,6,5]=>{{1},{2},{3,4,5,7},{6}}=>{{1},{2},{3,4,5,7},{6}}
[2,4,7,5,1,3,6]=>[1,3,6,2,4,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,4,7,5,1,6,3]=>[1,6,2,4,7,3,5]=>{{1},{2,3,6},{4},{5,7}}=>{{1},{2,3,7},{4},{5,6}}
[2,4,7,5,3,1,6]=>[1,6,2,4,7,3,5]=>{{1},{2,3,6},{4},{5,7}}=>{{1},{2,3,7},{4},{5,6}}
[2,4,7,5,3,6,1]=>[1,2,4,7,3,6,5]=>{{1},{2},{3,4,5,7},{6}}=>{{1},{2},{3,4,5,7},{6}}
[2,4,7,5,6,1,3]=>[1,3,2,4,7,5,6]=>{{1},{2,3},{4},{5,6,7}}=>{{1},{2,3},{4},{5,6,7}}
[2,4,7,5,6,3,1]=>[1,2,4,7,3,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[2,4,7,6,1,3,5]=>[1,3,5,2,4,7,6]=>{{1},{2,3,4,5},{6,7}}=>{{1},{2,3,4,5},{6,7}}
[2,4,7,6,1,5,3]=>[1,5,2,4,7,3,6]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[2,4,7,6,3,1,5]=>[1,5,2,4,7,3,6]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[2,4,7,6,3,5,1]=>[1,2,4,7,3,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[2,4,7,6,5,1,3]=>[1,3,2,4,7,5,6]=>{{1},{2,3},{4},{5,6,7}}=>{{1},{2,3},{4},{5,6,7}}
[2,4,7,6,5,3,1]=>[1,2,4,7,3,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[2,5,1,3,4,6,7]=>[1,3,4,6,7,2,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[2,5,1,3,4,7,6]=>[1,3,4,7,2,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,5,1,3,6,4,7]=>[1,3,6,2,5,4,7]=>{{1},{2,3,4,6},{5},{7}}=>{{1},{2,3,4,6},{5},{7}}
[2,5,1,3,6,7,4]=>[1,3,6,7,2,5,4]=>{{1},{2,3,5,6},{4,7}}=>{{1},{2,3,6},{4,5,7}}
[2,5,1,3,7,4,6]=>[1,3,7,2,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[2,5,1,3,7,6,4]=>[1,3,7,2,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[2,5,1,4,3,6,7]=>[1,4,2,5,3,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[2,5,1,4,3,7,6]=>[1,4,2,5,3,7,6]=>{{1},{2,3,4,5},{6,7}}=>{{1},{2,3,4,5},{6,7}}
[2,5,1,4,6,3,7]=>[1,4,6,2,5,3,7]=>{{1},{2,4},{3,6},{5},{7}}=>{{1},{2,6},{3,4},{5},{7}}
[2,5,1,4,6,7,3]=>[1,4,6,7,2,5,3]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,5,1,4,7,3,6]=>[1,4,7,2,5,3,6]=>{{1},{2,4},{3,6,7},{5}}=>{{1},{2,6,7},{3,4},{5}}
[2,5,1,4,7,6,3]=>[1,4,7,2,5,3,6]=>{{1},{2,4},{3,6,7},{5}}=>{{1},{2,6,7},{3,4},{5}}
[2,5,1,6,3,4,7]=>[1,6,2,5,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[2,5,1,6,3,7,4]=>[1,6,2,5,3,7,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,5,1,6,4,3,7]=>[1,6,2,5,3,7,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,5,1,6,4,7,3]=>[1,6,2,5,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[2,5,1,6,7,3,4]=>[1,6,7,2,5,3,4]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[2,5,1,6,7,4,3]=>[1,6,7,2,5,3,4]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[2,5,1,7,3,4,6]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,5,1,7,3,6,4]=>[1,7,2,5,3,6,4]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[2,5,1,7,4,3,6]=>[1,7,2,5,3,6,4]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[2,5,1,7,4,6,3]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,5,1,7,6,3,4]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,5,1,7,6,4,3]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,5,3,1,4,6,7]=>[1,4,6,7,2,5,3]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,5,3,1,4,7,6]=>[1,4,7,2,5,3,6]=>{{1},{2,4},{3,6,7},{5}}=>{{1},{2,6,7},{3,4},{5}}
[2,5,3,1,6,4,7]=>[1,6,2,5,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[2,5,3,1,6,7,4]=>[1,6,7,2,5,3,4]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[2,5,3,1,7,4,6]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,5,3,1,7,6,4]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,5,3,4,1,6,7]=>[1,6,7,2,5,3,4]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[2,5,3,4,1,7,6]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,5,3,4,6,1,7]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,5,3,4,6,7,1]=>[1,2,5,3,4,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6},{7}}
[2,5,3,4,7,1,6]=>[1,6,2,5,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[2,5,3,4,7,6,1]=>[1,2,5,3,4,7,6]=>{{1},{2},{3,4,5},{6,7}}=>{{1},{2},{3,4,5},{6,7}}
[2,5,3,6,1,4,7]=>[1,4,7,2,5,3,6]=>{{1},{2,4},{3,6,7},{5}}=>{{1},{2,6,7},{3,4},{5}}
[2,5,3,6,1,7,4]=>[1,7,2,5,3,6,4]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[2,5,3,6,4,1,7]=>[1,7,2,5,3,6,4]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[2,5,3,6,4,7,1]=>[1,2,5,3,6,4,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[2,5,3,6,7,1,4]=>[1,4,2,5,3,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[2,5,3,6,7,4,1]=>[1,2,5,3,6,7,4]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[2,5,3,7,1,4,6]=>[1,4,6,2,5,3,7]=>{{1},{2,4},{3,6},{5},{7}}=>{{1},{2,6},{3,4},{5},{7}}
[2,5,3,7,1,6,4]=>[1,6,2,5,3,7,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,5,3,7,4,1,6]=>[1,6,2,5,3,7,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,5,3,7,4,6,1]=>[1,2,5,3,7,4,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[2,5,3,7,6,1,4]=>[1,4,2,5,3,7,6]=>{{1},{2,3,4,5},{6,7}}=>{{1},{2,3,4,5},{6,7}}
[2,5,3,7,6,4,1]=>[1,2,5,3,7,4,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[2,5,4,1,3,6,7]=>[1,3,6,7,2,5,4]=>{{1},{2,3,5,6},{4,7}}=>{{1},{2,3,6},{4,5,7}}
[2,5,4,1,3,7,6]=>[1,3,7,2,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[2,5,4,1,6,3,7]=>[1,6,2,5,3,7,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,5,4,1,6,7,3]=>[1,6,7,2,5,3,4]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[2,5,4,1,7,3,6]=>[1,7,2,5,3,6,4]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[2,5,4,1,7,6,3]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,5,4,3,1,6,7]=>[1,6,7,2,5,3,4]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[2,5,4,3,1,7,6]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,5,4,3,6,1,7]=>[1,7,2,5,3,6,4]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[2,5,4,3,6,7,1]=>[1,2,5,3,6,7,4]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[2,5,4,3,7,1,6]=>[1,6,2,5,3,7,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,5,4,3,7,6,1]=>[1,2,5,3,7,4,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[2,5,4,6,1,3,7]=>[1,3,7,2,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[2,5,4,6,1,7,3]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,5,4,6,3,1,7]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,5,4,6,3,7,1]=>[1,2,5,3,7,4,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[2,5,4,6,7,1,3]=>[1,3,2,5,4,6,7]=>{{1},{2,3},{4,5},{6},{7}}=>{{1},{2,3},{4,5},{6},{7}}
[2,5,4,6,7,3,1]=>[1,2,5,3,4,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6},{7}}
[2,5,4,7,1,3,6]=>[1,3,6,2,5,4,7]=>{{1},{2,3,4,6},{5},{7}}=>{{1},{2,3,4,6},{5},{7}}
[2,5,4,7,1,6,3]=>[1,6,2,5,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[2,5,4,7,3,1,6]=>[1,6,2,5,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[2,5,4,7,3,6,1]=>[1,2,5,3,6,4,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[2,5,4,7,6,1,3]=>[1,3,2,5,4,7,6]=>{{1},{2,3},{4,5},{6,7}}=>{{1},{2,3},{4,5},{6,7}}
[2,5,4,7,6,3,1]=>[1,2,5,3,4,7,6]=>{{1},{2},{3,4,5},{6,7}}=>{{1},{2},{3,4,5},{6,7}}
[2,5,6,1,3,4,7]=>[1,3,4,7,2,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,5,6,1,3,7,4]=>[1,3,7,2,5,6,4]=>{{1},{2,3,4,7},{5},{6}}=>{{1},{2,3,4,7},{5},{6}}
[2,5,6,1,4,3,7]=>[1,4,2,5,6,3,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[2,5,6,1,4,7,3]=>[1,4,7,2,5,6,3]=>{{1},{2,4},{3,7},{5},{6}}=>{{1},{2,7},{3,4},{5},{6}}
[2,5,6,1,7,3,4]=>[1,7,2,5,6,3,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,5,6,1,7,4,3]=>[1,7,2,5,6,3,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,5,6,3,1,4,7]=>[1,4,7,2,5,6,3]=>{{1},{2,4},{3,7},{5},{6}}=>{{1},{2,7},{3,4},{5},{6}}
[2,5,6,3,1,7,4]=>[1,7,2,5,6,3,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,5,6,3,4,1,7]=>[1,7,2,5,6,3,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,5,6,3,4,7,1]=>[1,2,5,6,3,4,7]=>{{1},{2},{3,5},{4,6},{7}}=>{{1},{2},{3,6},{4,5},{7}}
[2,5,6,3,7,1,4]=>[1,4,2,5,6,3,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[2,5,6,3,7,4,1]=>[1,2,5,6,3,7,4]=>{{1},{2},{3,5},{4,6,7}}=>{{1},{2},{3,6,7},{4,5}}
[2,5,6,4,1,3,7]=>[1,3,7,2,5,6,4]=>{{1},{2,3,4,7},{5},{6}}=>{{1},{2,3,4,7},{5},{6}}
[2,5,6,4,1,7,3]=>[1,7,2,5,6,3,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,5,6,4,3,1,7]=>[1,7,2,5,6,3,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,5,6,4,3,7,1]=>[1,2,5,6,3,7,4]=>{{1},{2},{3,5},{4,6,7}}=>{{1},{2},{3,6,7},{4,5}}
[2,5,6,4,7,1,3]=>[1,3,2,5,6,4,7]=>{{1},{2,3},{4,5,6},{7}}=>{{1},{2,3},{4,5,6},{7}}
[2,5,6,4,7,3,1]=>[1,2,5,6,3,4,7]=>{{1},{2},{3,5},{4,6},{7}}=>{{1},{2},{3,6},{4,5},{7}}
[2,5,6,7,1,3,4]=>[1,3,4,2,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>{{1},{2,3,4},{5},{6},{7}}
[2,5,6,7,1,4,3]=>[1,4,2,5,6,7,3]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,5,6,7,3,1,4]=>[1,4,2,5,6,7,3]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,5,6,7,3,4,1]=>[1,2,5,6,7,3,4]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[2,5,6,7,4,1,3]=>[1,3,2,5,6,7,4]=>{{1},{2,3},{4,5,6,7}}=>{{1},{2,3},{4,5,6,7}}
[2,5,6,7,4,3,1]=>[1,2,5,6,7,3,4]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[2,5,7,1,3,4,6]=>[1,3,4,6,2,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[2,5,7,1,3,6,4]=>[1,3,6,2,5,7,4]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[2,5,7,1,4,3,6]=>[1,4,2,5,7,3,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,5,7,1,4,6,3]=>[1,4,6,2,5,7,3]=>{{1},{2,4},{3,6,7},{5}}=>{{1},{2,6,7},{3,4},{5}}
[2,5,7,1,6,3,4]=>[1,6,2,5,7,3,4]=>{{1},{2,3,6},{4,5,7}}=>{{1},{2,3,5,6},{4,7}}
[2,5,7,1,6,4,3]=>[1,6,2,5,7,3,4]=>{{1},{2,3,6},{4,5,7}}=>{{1},{2,3,5,6},{4,7}}
[2,5,7,3,1,4,6]=>[1,4,6,2,5,7,3]=>{{1},{2,4},{3,6,7},{5}}=>{{1},{2,6,7},{3,4},{5}}
[2,5,7,3,1,6,4]=>[1,6,2,5,7,3,4]=>{{1},{2,3,6},{4,5,7}}=>{{1},{2,3,5,6},{4,7}}
[2,5,7,3,4,1,6]=>[1,6,2,5,7,3,4]=>{{1},{2,3,6},{4,5,7}}=>{{1},{2,3,5,6},{4,7}}
[2,5,7,3,4,6,1]=>[1,2,5,7,3,4,6]=>{{1},{2},{3,5},{4,6,7}}=>{{1},{2},{3,6,7},{4,5}}
[2,5,7,3,6,1,4]=>[1,4,2,5,7,3,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,5,7,3,6,4,1]=>[1,2,5,7,3,6,4]=>{{1},{2},{3,5},{4,7},{6}}=>{{1},{2},{3,7},{4,5},{6}}
[2,5,7,4,1,3,6]=>[1,3,6,2,5,7,4]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[2,5,7,4,1,6,3]=>[1,6,2,5,7,3,4]=>{{1},{2,3,6},{4,5,7}}=>{{1},{2,3,5,6},{4,7}}
[2,5,7,4,3,1,6]=>[1,6,2,5,7,3,4]=>{{1},{2,3,6},{4,5,7}}=>{{1},{2,3,5,6},{4,7}}
[2,5,7,4,3,6,1]=>[1,2,5,7,3,6,4]=>{{1},{2},{3,5},{4,7},{6}}=>{{1},{2},{3,7},{4,5},{6}}
[2,5,7,4,6,1,3]=>[1,3,2,5,7,4,6]=>{{1},{2,3},{4,5,6,7}}=>{{1},{2,3},{4,5,6,7}}
[2,5,7,4,6,3,1]=>[1,2,5,7,3,4,6]=>{{1},{2},{3,5},{4,6,7}}=>{{1},{2},{3,6,7},{4,5}}
[2,5,7,6,1,3,4]=>[1,3,4,2,5,7,6]=>{{1},{2,3,4},{5},{6,7}}=>{{1},{2,3,4},{5},{6,7}}
[2,5,7,6,1,4,3]=>[1,4,2,5,7,3,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,5,7,6,3,1,4]=>[1,4,2,5,7,3,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,5,7,6,3,4,1]=>[1,2,5,7,3,4,6]=>{{1},{2},{3,5},{4,6,7}}=>{{1},{2},{3,6,7},{4,5}}
[2,5,7,6,4,1,3]=>[1,3,2,5,7,4,6]=>{{1},{2,3},{4,5,6,7}}=>{{1},{2,3},{4,5,6,7}}
[2,5,7,6,4,3,1]=>[1,2,5,7,3,4,6]=>{{1},{2},{3,5},{4,6,7}}=>{{1},{2},{3,6,7},{4,5}}
[2,6,1,3,4,5,7]=>[1,3,4,5,7,2,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,6,1,3,4,7,5]=>[1,3,4,7,2,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[2,6,1,3,5,4,7]=>[1,3,5,2,6,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[2,6,1,3,5,7,4]=>[1,3,5,7,2,6,4]=>{{1},{2,3,5},{4,7},{6}}=>{{1},{2,3,7},{4,5},{6}}
[2,6,1,3,7,4,5]=>[1,3,7,2,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,6,1,3,7,5,4]=>[1,3,7,2,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,6,1,4,3,5,7]=>[1,4,2,6,3,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[2,6,1,4,3,7,5]=>[1,4,2,6,3,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,6,1,4,5,3,7]=>[1,4,5,2,6,3,7]=>{{1},{2,4},{3,5,6},{7}}=>{{1},{2,5,6},{3,4},{7}}
[2,6,1,4,5,7,3]=>[1,4,5,7,2,6,3]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[2,6,1,4,7,3,5]=>[1,4,7,2,6,3,5]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[2,6,1,4,7,5,3]=>[1,4,7,2,6,3,5]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[2,6,1,5,3,4,7]=>[1,5,2,6,3,4,7]=>{{1},{2,3,5},{4,6},{7}}=>{{1},{2,3,6},{4,5},{7}}
[2,6,1,5,3,7,4]=>[1,5,2,6,3,7,4]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[2,6,1,5,4,3,7]=>[1,5,2,6,3,7,4]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[2,6,1,5,4,7,3]=>[1,5,2,6,3,4,7]=>{{1},{2,3,5},{4,6},{7}}=>{{1},{2,3,6},{4,5},{7}}
[2,6,1,5,7,3,4]=>[1,5,7,2,6,3,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,6,1,5,7,4,3]=>[1,5,7,2,6,3,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,6,1,7,3,4,5]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[2,6,1,7,3,5,4]=>[1,7,2,6,3,5,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,6,1,7,4,3,5]=>[1,7,2,6,3,5,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,6,1,7,4,5,3]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[2,6,1,7,5,3,4]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[2,6,1,7,5,4,3]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[2,6,3,1,4,5,7]=>[1,4,5,7,2,6,3]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[2,6,3,1,4,7,5]=>[1,4,7,2,6,3,5]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[2,6,3,1,5,4,7]=>[1,5,2,6,3,4,7]=>{{1},{2,3,5},{4,6},{7}}=>{{1},{2,3,6},{4,5},{7}}
[2,6,3,1,5,7,4]=>[1,5,7,2,6,3,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,6,3,1,7,4,5]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[2,6,3,1,7,5,4]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[2,6,3,4,1,5,7]=>[1,5,7,2,6,3,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,6,3,4,1,7,5]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[2,6,3,4,5,1,7]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[2,6,3,4,5,7,1]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[2,6,3,4,7,1,5]=>[1,5,2,6,3,4,7]=>{{1},{2,3,5},{4,6},{7}}=>{{1},{2,3,6},{4,5},{7}}
[2,6,3,4,7,5,1]=>[1,2,6,3,4,7,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[2,6,3,5,1,4,7]=>[1,4,7,2,6,3,5]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[2,6,3,5,1,7,4]=>[1,7,2,6,3,5,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,6,3,5,4,1,7]=>[1,7,2,6,3,5,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,6,3,5,4,7,1]=>[1,2,6,3,5,4,7]=>{{1},{2},{3,4,6},{5},{7}}=>{{1},{2},{3,4,6},{5},{7}}
[2,6,3,5,7,1,4]=>[1,4,2,6,3,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[2,6,3,5,7,4,1]=>[1,2,6,3,5,7,4]=>{{1},{2},{3,4,6,7},{5}}=>{{1},{2},{3,4,6,7},{5}}
[2,6,3,7,1,4,5]=>[1,4,5,2,6,3,7]=>{{1},{2,4},{3,5,6},{7}}=>{{1},{2,5,6},{3,4},{7}}
[2,6,3,7,1,5,4]=>[1,5,2,6,3,7,4]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[2,6,3,7,4,1,5]=>[1,5,2,6,3,7,4]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[2,6,3,7,4,5,1]=>[1,2,6,3,7,4,5]=>{{1},{2},{3,4,6},{5,7}}=>{{1},{2},{3,4,7},{5,6}}
[2,6,3,7,5,1,4]=>[1,4,2,6,3,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,6,3,7,5,4,1]=>[1,2,6,3,7,4,5]=>{{1},{2},{3,4,6},{5,7}}=>{{1},{2},{3,4,7},{5,6}}
[2,6,4,1,3,5,7]=>[1,3,5,7,2,6,4]=>{{1},{2,3,5},{4,7},{6}}=>{{1},{2,3,7},{4,5},{6}}
[2,6,4,1,3,7,5]=>[1,3,7,2,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,6,4,1,5,3,7]=>[1,5,2,6,3,7,4]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[2,6,4,1,5,7,3]=>[1,5,7,2,6,3,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,6,4,1,7,3,5]=>[1,7,2,6,3,5,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,6,4,1,7,5,3]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[2,6,4,3,1,5,7]=>[1,5,7,2,6,3,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,6,4,3,1,7,5]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[2,6,4,3,5,1,7]=>[1,7,2,6,3,5,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,6,4,3,5,7,1]=>[1,2,6,3,5,7,4]=>{{1},{2},{3,4,6,7},{5}}=>{{1},{2},{3,4,6,7},{5}}
[2,6,4,3,7,1,5]=>[1,5,2,6,3,7,4]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[2,6,4,3,7,5,1]=>[1,2,6,3,7,4,5]=>{{1},{2},{3,4,6},{5,7}}=>{{1},{2},{3,4,7},{5,6}}
[2,6,4,5,1,3,7]=>[1,3,7,2,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,6,4,5,1,7,3]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[2,6,4,5,3,1,7]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[2,6,4,5,3,7,1]=>[1,2,6,3,7,4,5]=>{{1},{2},{3,4,6},{5,7}}=>{{1},{2},{3,4,7},{5,6}}
[2,6,4,5,7,1,3]=>[1,3,2,6,4,5,7]=>{{1},{2,3},{4,5,6},{7}}=>{{1},{2,3},{4,5,6},{7}}
[2,6,4,5,7,3,1]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[2,6,4,7,1,3,5]=>[1,3,5,2,6,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[2,6,4,7,1,5,3]=>[1,5,2,6,3,4,7]=>{{1},{2,3,5},{4,6},{7}}=>{{1},{2,3,6},{4,5},{7}}
[2,6,4,7,3,1,5]=>[1,5,2,6,3,4,7]=>{{1},{2,3,5},{4,6},{7}}=>{{1},{2,3,6},{4,5},{7}}
[2,6,4,7,3,5,1]=>[1,2,6,3,5,4,7]=>{{1},{2},{3,4,6},{5},{7}}=>{{1},{2},{3,4,6},{5},{7}}
[2,6,4,7,5,1,3]=>[1,3,2,6,4,7,5]=>{{1},{2,3},{4,5,6,7}}=>{{1},{2,3},{4,5,6,7}}
[2,6,4,7,5,3,1]=>[1,2,6,3,4,7,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[2,6,5,1,3,4,7]=>[1,3,4,7,2,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[2,6,5,1,3,7,4]=>[1,3,7,2,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,6,5,1,4,3,7]=>[1,4,2,6,3,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,6,5,1,4,7,3]=>[1,4,7,2,6,3,5]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[2,6,5,1,7,3,4]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[2,6,5,1,7,4,3]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[2,6,5,3,1,4,7]=>[1,4,7,2,6,3,5]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[2,6,5,3,1,7,4]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[2,6,5,3,4,1,7]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[2,6,5,3,4,7,1]=>[1,2,6,3,4,7,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[2,6,5,3,7,1,4]=>[1,4,2,6,3,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,6,5,3,7,4,1]=>[1,2,6,3,7,4,5]=>{{1},{2},{3,4,6},{5,7}}=>{{1},{2},{3,4,7},{5,6}}
[2,6,5,4,1,3,7]=>[1,3,7,2,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,6,5,4,1,7,3]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[2,6,5,4,3,1,7]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[2,6,5,4,3,7,1]=>[1,2,6,3,7,4,5]=>{{1},{2},{3,4,6},{5,7}}=>{{1},{2},{3,4,7},{5,6}}
[2,6,5,4,7,1,3]=>[1,3,2,6,4,7,5]=>{{1},{2,3},{4,5,6,7}}=>{{1},{2,3},{4,5,6,7}}
[2,6,5,4,7,3,1]=>[1,2,6,3,4,7,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[2,6,5,7,1,3,4]=>[1,3,4,2,6,5,7]=>{{1},{2,3,4},{5,6},{7}}=>{{1},{2,3,4},{5,6},{7}}
[2,6,5,7,1,4,3]=>[1,4,2,6,3,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[2,6,5,7,3,1,4]=>[1,4,2,6,3,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[2,6,5,7,3,4,1]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[2,6,5,7,4,1,3]=>[1,3,2,6,4,5,7]=>{{1},{2,3},{4,5,6},{7}}=>{{1},{2,3},{4,5,6},{7}}
[2,6,5,7,4,3,1]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[2,6,7,1,3,4,5]=>[1,3,4,5,2,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[2,6,7,1,3,5,4]=>[1,3,5,2,6,7,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,6,7,1,4,3,5]=>[1,4,2,6,7,3,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[2,6,7,1,4,5,3]=>[1,4,5,2,6,7,3]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[2,6,7,1,5,3,4]=>[1,5,2,6,7,3,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,6,7,1,5,4,3]=>[1,5,2,6,7,3,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,6,7,3,1,4,5]=>[1,4,5,2,6,7,3]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[2,6,7,3,1,5,4]=>[1,5,2,6,7,3,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,6,7,3,4,1,5]=>[1,5,2,6,7,3,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,6,7,3,4,5,1]=>[1,2,6,7,3,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[2,6,7,3,5,1,4]=>[1,4,2,6,7,3,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[2,6,7,3,5,4,1]=>[1,2,6,7,3,5,4]=>{{1},{2},{3,5,6},{4,7}}=>{{1},{2},{3,6},{4,5,7}}
[2,6,7,4,1,3,5]=>[1,3,5,2,6,7,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,6,7,4,1,5,3]=>[1,5,2,6,7,3,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,6,7,4,3,1,5]=>[1,5,2,6,7,3,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,6,7,4,3,5,1]=>[1,2,6,7,3,5,4]=>{{1},{2},{3,5,6},{4,7}}=>{{1},{2},{3,6},{4,5,7}}
[2,6,7,4,5,1,3]=>[1,3,2,6,7,4,5]=>{{1},{2,3},{4,6},{5,7}}=>{{1},{2,3},{4,7},{5,6}}
[2,6,7,4,5,3,1]=>[1,2,6,7,3,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[2,6,7,5,1,3,4]=>[1,3,4,2,6,7,5]=>{{1},{2,3,4},{5,6,7}}=>{{1},{2,3,4},{5,6,7}}
[2,6,7,5,1,4,3]=>[1,4,2,6,7,3,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[2,6,7,5,3,1,4]=>[1,4,2,6,7,3,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[2,6,7,5,3,4,1]=>[1,2,6,7,3,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[2,6,7,5,4,1,3]=>[1,3,2,6,7,4,5]=>{{1},{2,3},{4,6},{5,7}}=>{{1},{2,3},{4,7},{5,6}}
[2,6,7,5,4,3,1]=>[1,2,6,7,3,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[2,7,1,3,4,5,6]=>[1,3,4,5,6,2,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[2,7,1,3,4,6,5]=>[1,3,4,6,2,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,7,1,3,5,4,6]=>[1,3,5,2,7,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,7,1,3,5,6,4]=>[1,3,5,6,2,7,4]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[2,7,1,3,6,4,5]=>[1,3,6,2,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[2,7,1,3,6,5,4]=>[1,3,6,2,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[2,7,1,4,3,5,6]=>[1,4,2,7,3,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,7,1,4,3,6,5]=>[1,4,2,7,3,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[2,7,1,4,5,3,6]=>[1,4,5,2,7,3,6]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[2,7,1,4,5,6,3]=>[1,4,5,6,2,7,3]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,7,1,4,6,3,5]=>[1,4,6,2,7,3,5]=>{{1},{2,4},{3,6},{5,7}}=>{{1},{2,7},{3,4},{5,6}}
[2,7,1,4,6,5,3]=>[1,4,6,2,7,3,5]=>{{1},{2,4},{3,6},{5,7}}=>{{1},{2,7},{3,4},{5,6}}
[2,7,1,5,3,4,6]=>[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[2,7,1,5,3,6,4]=>[1,5,2,7,3,6,4]=>{{1},{2,3,5},{4,7},{6}}=>{{1},{2,3,7},{4,5},{6}}
[2,7,1,5,4,3,6]=>[1,5,2,7,3,6,4]=>{{1},{2,3,5},{4,7},{6}}=>{{1},{2,3,7},{4,5},{6}}
[2,7,1,5,4,6,3]=>[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[2,7,1,5,6,3,4]=>[1,5,6,2,7,3,4]=>{{1},{2,4,5,7},{3,6}}=>{{1},{2,5,6},{3,4,7}}
[2,7,1,5,6,4,3]=>[1,5,6,2,7,3,4]=>{{1},{2,4,5,7},{3,6}}=>{{1},{2,5,6},{3,4,7}}
[2,7,1,6,3,4,5]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,7,1,6,3,5,4]=>[1,6,2,7,3,5,4]=>{{1},{2,3,5,6},{4,7}}=>{{1},{2,3,6},{4,5,7}}
[2,7,1,6,4,3,5]=>[1,6,2,7,3,5,4]=>{{1},{2,3,5,6},{4,7}}=>{{1},{2,3,6},{4,5,7}}
[2,7,1,6,4,5,3]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,7,1,6,5,3,4]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,7,1,6,5,4,3]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,7,3,1,4,5,6]=>[1,4,5,6,2,7,3]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,7,3,1,4,6,5]=>[1,4,6,2,7,3,5]=>{{1},{2,4},{3,6},{5,7}}=>{{1},{2,7},{3,4},{5,6}}
[2,7,3,1,5,4,6]=>[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[2,7,3,1,5,6,4]=>[1,5,6,2,7,3,4]=>{{1},{2,4,5,7},{3,6}}=>{{1},{2,5,6},{3,4,7}}
[2,7,3,1,6,4,5]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,7,3,1,6,5,4]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,7,3,4,1,5,6]=>[1,5,6,2,7,3,4]=>{{1},{2,4,5,7},{3,6}}=>{{1},{2,5,6},{3,4,7}}
[2,7,3,4,1,6,5]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,7,3,4,5,1,6]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,7,3,4,5,6,1]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[2,7,3,4,6,1,5]=>[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[2,7,3,4,6,5,1]=>[1,2,7,3,4,6,5]=>{{1},{2},{3,4,5,7},{6}}=>{{1},{2},{3,4,5,7},{6}}
[2,7,3,5,1,4,6]=>[1,4,6,2,7,3,5]=>{{1},{2,4},{3,6},{5,7}}=>{{1},{2,7},{3,4},{5,6}}
[2,7,3,5,1,6,4]=>[1,6,2,7,3,5,4]=>{{1},{2,3,5,6},{4,7}}=>{{1},{2,3,6},{4,5,7}}
[2,7,3,5,4,1,6]=>[1,6,2,7,3,5,4]=>{{1},{2,3,5,6},{4,7}}=>{{1},{2,3,6},{4,5,7}}
[2,7,3,5,4,6,1]=>[1,2,7,3,5,4,6]=>{{1},{2},{3,4,6,7},{5}}=>{{1},{2},{3,4,6,7},{5}}
[2,7,3,5,6,1,4]=>[1,4,2,7,3,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,7,3,5,6,4,1]=>[1,2,7,3,5,6,4]=>{{1},{2},{3,4,7},{5},{6}}=>{{1},{2},{3,4,7},{5},{6}}
[2,7,3,6,1,4,5]=>[1,4,5,2,7,3,6]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[2,7,3,6,1,5,4]=>[1,5,2,7,3,6,4]=>{{1},{2,3,5},{4,7},{6}}=>{{1},{2,3,7},{4,5},{6}}
[2,7,3,6,4,1,5]=>[1,5,2,7,3,6,4]=>{{1},{2,3,5},{4,7},{6}}=>{{1},{2,3,7},{4,5},{6}}
[2,7,3,6,4,5,1]=>[1,2,7,3,6,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[2,7,3,6,5,1,4]=>[1,4,2,7,3,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[2,7,3,6,5,4,1]=>[1,2,7,3,6,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[2,7,4,1,3,5,6]=>[1,3,5,6,2,7,4]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[2,7,4,1,3,6,5]=>[1,3,6,2,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[2,7,4,1,5,3,6]=>[1,5,2,7,3,6,4]=>{{1},{2,3,5},{4,7},{6}}=>{{1},{2,3,7},{4,5},{6}}
[2,7,4,1,5,6,3]=>[1,5,6,2,7,3,4]=>{{1},{2,4,5,7},{3,6}}=>{{1},{2,5,6},{3,4,7}}
[2,7,4,1,6,3,5]=>[1,6,2,7,3,5,4]=>{{1},{2,3,5,6},{4,7}}=>{{1},{2,3,6},{4,5,7}}
[2,7,4,1,6,5,3]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,7,4,3,1,5,6]=>[1,5,6,2,7,3,4]=>{{1},{2,4,5,7},{3,6}}=>{{1},{2,5,6},{3,4,7}}
[2,7,4,3,1,6,5]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,7,4,3,5,1,6]=>[1,6,2,7,3,5,4]=>{{1},{2,3,5,6},{4,7}}=>{{1},{2,3,6},{4,5,7}}
[2,7,4,3,5,6,1]=>[1,2,7,3,5,6,4]=>{{1},{2},{3,4,7},{5},{6}}=>{{1},{2},{3,4,7},{5},{6}}
[2,7,4,3,6,1,5]=>[1,5,2,7,3,6,4]=>{{1},{2,3,5},{4,7},{6}}=>{{1},{2,3,7},{4,5},{6}}
[2,7,4,3,6,5,1]=>[1,2,7,3,6,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[2,7,4,5,1,3,6]=>[1,3,6,2,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[2,7,4,5,1,6,3]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,7,4,5,3,1,6]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,7,4,5,3,6,1]=>[1,2,7,3,6,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[2,7,4,5,6,1,3]=>[1,3,2,7,4,5,6]=>{{1},{2,3},{4,5,6,7}}=>{{1},{2,3},{4,5,6,7}}
[2,7,4,5,6,3,1]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[2,7,4,6,1,3,5]=>[1,3,5,2,7,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,7,4,6,1,5,3]=>[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[2,7,4,6,3,1,5]=>[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[2,7,4,6,3,5,1]=>[1,2,7,3,5,4,6]=>{{1},{2},{3,4,6,7},{5}}=>{{1},{2},{3,4,6,7},{5}}
[2,7,4,6,5,1,3]=>[1,3,2,7,4,6,5]=>{{1},{2,3},{4,5,7},{6}}=>{{1},{2,3},{4,5,7},{6}}
[2,7,4,6,5,3,1]=>[1,2,7,3,4,6,5]=>{{1},{2},{3,4,5,7},{6}}=>{{1},{2},{3,4,5,7},{6}}
[2,7,5,1,3,4,6]=>[1,3,4,6,2,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,7,5,1,3,6,4]=>[1,3,6,2,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[2,7,5,1,4,3,6]=>[1,4,2,7,3,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[2,7,5,1,4,6,3]=>[1,4,6,2,7,3,5]=>{{1},{2,4},{3,6},{5,7}}=>{{1},{2,7},{3,4},{5,6}}
[2,7,5,1,6,3,4]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,7,5,1,6,4,3]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,7,5,3,1,4,6]=>[1,4,6,2,7,3,5]=>{{1},{2,4},{3,6},{5,7}}=>{{1},{2,7},{3,4},{5,6}}
[2,7,5,3,1,6,4]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,7,5,3,4,1,6]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,7,5,3,4,6,1]=>[1,2,7,3,4,6,5]=>{{1},{2},{3,4,5,7},{6}}=>{{1},{2},{3,4,5,7},{6}}
[2,7,5,3,6,1,4]=>[1,4,2,7,3,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[2,7,5,3,6,4,1]=>[1,2,7,3,6,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[2,7,5,4,1,3,6]=>[1,3,6,2,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[2,7,5,4,1,6,3]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,7,5,4,3,1,6]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,7,5,4,3,6,1]=>[1,2,7,3,6,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[2,7,5,4,6,1,3]=>[1,3,2,7,4,6,5]=>{{1},{2,3},{4,5,7},{6}}=>{{1},{2,3},{4,5,7},{6}}
[2,7,5,4,6,3,1]=>[1,2,7,3,4,6,5]=>{{1},{2},{3,4,5,7},{6}}=>{{1},{2},{3,4,5,7},{6}}
[2,7,5,6,1,3,4]=>[1,3,4,2,7,5,6]=>{{1},{2,3,4},{5,6,7}}=>{{1},{2,3,4},{5,6,7}}
[2,7,5,6,1,4,3]=>[1,4,2,7,3,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,7,5,6,3,1,4]=>[1,4,2,7,3,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,7,5,6,3,4,1]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[2,7,5,6,4,1,3]=>[1,3,2,7,4,5,6]=>{{1},{2,3},{4,5,6,7}}=>{{1},{2,3},{4,5,6,7}}
[2,7,5,6,4,3,1]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[2,7,6,1,3,4,5]=>[1,3,4,5,2,7,6]=>{{1},{2,3,4,5},{6,7}}=>{{1},{2,3,4,5},{6,7}}
[2,7,6,1,3,5,4]=>[1,3,5,2,7,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,7,6,1,4,3,5]=>[1,4,2,7,3,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,7,6,1,4,5,3]=>[1,4,5,2,7,3,6]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[2,7,6,1,5,3,4]=>[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[2,7,6,1,5,4,3]=>[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[2,7,6,3,1,4,5]=>[1,4,5,2,7,3,6]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[2,7,6,3,1,5,4]=>[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[2,7,6,3,4,1,5]=>[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[2,7,6,3,4,5,1]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[2,7,6,3,5,1,4]=>[1,4,2,7,3,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,7,6,3,5,4,1]=>[1,2,7,3,5,4,6]=>{{1},{2},{3,4,6,7},{5}}=>{{1},{2},{3,4,6,7},{5}}
[2,7,6,4,1,3,5]=>[1,3,5,2,7,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,7,6,4,1,5,3]=>[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[2,7,6,4,3,1,5]=>[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[2,7,6,4,3,5,1]=>[1,2,7,3,5,4,6]=>{{1},{2},{3,4,6,7},{5}}=>{{1},{2},{3,4,6,7},{5}}
[2,7,6,4,5,1,3]=>[1,3,2,7,4,5,6]=>{{1},{2,3},{4,5,6,7}}=>{{1},{2,3},{4,5,6,7}}
[2,7,6,4,5,3,1]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[2,7,6,5,1,3,4]=>[1,3,4,2,7,5,6]=>{{1},{2,3,4},{5,6,7}}=>{{1},{2,3,4},{5,6,7}}
[2,7,6,5,1,4,3]=>[1,4,2,7,3,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,7,6,5,3,1,4]=>[1,4,2,7,3,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[2,7,6,5,3,4,1]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[2,7,6,5,4,1,3]=>[1,3,2,7,4,5,6]=>{{1},{2,3},{4,5,6,7}}=>{{1},{2,3},{4,5,6,7}}
[2,7,6,5,4,3,1]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,1,2,4,5,6,7]=>[1,2,4,5,6,7,3]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,1,2,4,5,7,6]=>[1,2,4,5,7,3,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,1,2,4,6,5,7]=>[1,2,4,6,3,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[3,1,2,4,6,7,5]=>[1,2,4,6,7,3,5]=>{{1},{2},{3,4,6},{5,7}}=>{{1},{2},{3,4,7},{5,6}}
[3,1,2,4,7,5,6]=>[1,2,4,7,3,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,1,2,4,7,6,5]=>[1,2,4,7,3,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,1,2,5,4,6,7]=>[1,2,5,3,4,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6},{7}}
[3,1,2,5,4,7,6]=>[1,2,5,3,4,7,6]=>{{1},{2},{3,4,5},{6,7}}=>{{1},{2},{3,4,5},{6,7}}
[3,1,2,5,6,4,7]=>[1,2,5,6,3,4,7]=>{{1},{2},{3,5},{4,6},{7}}=>{{1},{2},{3,6},{4,5},{7}}
[3,1,2,5,6,7,4]=>[1,2,5,6,7,3,4]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,1,2,5,7,4,6]=>[1,2,5,7,3,4,6]=>{{1},{2},{3,5},{4,6,7}}=>{{1},{2},{3,6,7},{4,5}}
[3,1,2,5,7,6,4]=>[1,2,5,7,3,4,6]=>{{1},{2},{3,5},{4,6,7}}=>{{1},{2},{3,6,7},{4,5}}
[3,1,2,6,4,5,7]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[3,1,2,6,4,7,5]=>[1,2,6,3,4,7,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,1,2,6,5,4,7]=>[1,2,6,3,4,7,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,1,2,6,5,7,4]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[3,1,2,6,7,4,5]=>[1,2,6,7,3,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,1,2,6,7,5,4]=>[1,2,6,7,3,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,1,2,7,4,5,6]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,1,2,7,4,6,5]=>[1,2,7,3,4,6,5]=>{{1},{2},{3,4,5,7},{6}}=>{{1},{2},{3,4,5,7},{6}}
[3,1,2,7,5,4,6]=>[1,2,7,3,4,6,5]=>{{1},{2},{3,4,5,7},{6}}=>{{1},{2},{3,4,5,7},{6}}
[3,1,2,7,5,6,4]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,1,2,7,6,4,5]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,1,2,7,6,5,4]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,1,4,2,5,6,7]=>[1,4,2,5,6,7,3]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,1,4,2,5,7,6]=>[1,4,2,5,7,3,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,1,4,2,6,5,7]=>[1,4,2,6,3,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[3,1,4,2,6,7,5]=>[1,4,2,6,7,3,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[3,1,4,2,7,5,6]=>[1,4,2,7,3,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,1,4,2,7,6,5]=>[1,4,2,7,3,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,1,4,5,2,6,7]=>[1,4,5,2,6,7,3]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[3,1,4,5,2,7,6]=>[1,4,5,2,7,3,6]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[3,1,4,5,6,2,7]=>[1,4,5,6,2,7,3]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,1,4,5,6,7,2]=>[1,4,5,6,7,2,3]=>{{1},{2,4,6},{3,5,7}}=>{{1},{2,7},{3,4,5,6}}
[3,1,4,5,7,2,6]=>[1,4,5,7,2,6,3]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[3,1,4,5,7,6,2]=>[1,4,5,7,2,3,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,1,4,6,2,5,7]=>[1,4,6,2,5,7,3]=>{{1},{2,4},{3,6,7},{5}}=>{{1},{2,6,7},{3,4},{5}}
[3,1,4,6,2,7,5]=>[1,4,6,2,7,3,5]=>{{1},{2,4},{3,6},{5,7}}=>{{1},{2,7},{3,4},{5,6}}
[3,1,4,6,5,2,7]=>[1,4,6,2,7,3,5]=>{{1},{2,4},{3,6},{5,7}}=>{{1},{2,7},{3,4},{5,6}}
[3,1,4,6,5,7,2]=>[1,4,6,2,3,5,7]=>{{1},{2,4},{3,5,6},{7}}=>{{1},{2,5,6},{3,4},{7}}
[3,1,4,6,7,2,5]=>[1,4,6,7,2,5,3]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,1,4,6,7,5,2]=>[1,4,6,7,2,3,5]=>{{1},{2,4,5,7},{3,6}}=>{{1},{2,5,6},{3,4,7}}
[3,1,4,7,2,5,6]=>[1,4,7,2,5,6,3]=>{{1},{2,4},{3,7},{5},{6}}=>{{1},{2,7},{3,4},{5},{6}}
[3,1,4,7,2,6,5]=>[1,4,7,2,6,3,5]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[3,1,4,7,5,2,6]=>[1,4,7,2,6,3,5]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[3,1,4,7,5,6,2]=>[1,4,7,2,3,5,6]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[3,1,4,7,6,2,5]=>[1,4,7,2,5,3,6]=>{{1},{2,4},{3,6,7},{5}}=>{{1},{2,6,7},{3,4},{5}}
[3,1,4,7,6,5,2]=>[1,4,7,2,3,5,6]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[3,1,5,2,4,6,7]=>[1,5,2,4,6,7,3]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[3,1,5,2,4,7,6]=>[1,5,2,4,7,3,6]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[3,1,5,2,6,4,7]=>[1,5,2,6,3,4,7]=>{{1},{2,3,5},{4,6},{7}}=>{{1},{2,3,6},{4,5},{7}}
[3,1,5,2,6,7,4]=>[1,5,2,6,7,3,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,1,5,2,7,4,6]=>[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[3,1,5,2,7,6,4]=>[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[3,1,5,4,2,6,7]=>[1,5,2,6,7,3,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,1,5,4,2,7,6]=>[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[3,1,5,4,6,2,7]=>[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[3,1,5,4,6,7,2]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[3,1,5,4,7,2,6]=>[1,5,2,6,3,4,7]=>{{1},{2,3,5},{4,6},{7}}=>{{1},{2,3,6},{4,5},{7}}
[3,1,5,4,7,6,2]=>[1,5,2,3,4,7,6]=>{{1},{2,3,4,5},{6,7}}=>{{1},{2,3,4,5},{6,7}}
[3,1,5,6,2,4,7]=>[1,5,6,2,4,7,3]=>{{1},{2,4,5},{3,6,7}}=>{{1},{2,5},{3,4,6,7}}
[3,1,5,6,2,7,4]=>[1,5,6,2,7,3,4]=>{{1},{2,4,5,7},{3,6}}=>{{1},{2,5,6},{3,4,7}}
[3,1,5,6,4,2,7]=>[1,5,6,2,7,3,4]=>{{1},{2,4,5,7},{3,6}}=>{{1},{2,5,6},{3,4,7}}
[3,1,5,6,4,7,2]=>[1,5,6,2,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[3,1,5,6,7,2,4]=>[1,5,6,7,2,4,3]=>{{1},{2,5},{3,4,6,7}}=>{{1},{2,4,5},{3,6,7}}
[3,1,5,6,7,4,2]=>[1,5,6,7,2,3,4]=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[3,1,5,7,2,4,6]=>[1,5,7,2,4,6,3]=>{{1},{2,4,5},{3,7},{6}}=>{{1},{2,5},{3,4,7},{6}}
[3,1,5,7,2,6,4]=>[1,5,7,2,6,3,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,1,5,7,4,2,6]=>[1,5,7,2,6,3,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,1,5,7,4,6,2]=>[1,5,7,2,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,1,5,7,6,2,4]=>[1,5,7,2,4,3,6]=>{{1},{2,4,5},{3,6,7}}=>{{1},{2,5},{3,4,6,7}}
[3,1,5,7,6,4,2]=>[1,5,7,2,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,1,6,2,4,5,7]=>[1,6,2,4,5,7,3]=>{{1},{2,3,6,7},{4},{5}}=>{{1},{2,3,6,7},{4},{5}}
[3,1,6,2,4,7,5]=>[1,6,2,4,7,3,5]=>{{1},{2,3,6},{4},{5,7}}=>{{1},{2,3,7},{4},{5,6}}
[3,1,6,2,5,4,7]=>[1,6,2,5,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[3,1,6,2,5,7,4]=>[1,6,2,5,7,3,4]=>{{1},{2,3,6},{4,5,7}}=>{{1},{2,3,5,6},{4,7}}
[3,1,6,2,7,4,5]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,1,6,2,7,5,4]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,1,6,4,2,5,7]=>[1,6,2,5,7,3,4]=>{{1},{2,3,6},{4,5,7}}=>{{1},{2,3,5,6},{4,7}}
[3,1,6,4,2,7,5]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,1,6,4,5,2,7]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,1,6,4,5,7,2]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[3,1,6,4,7,2,5]=>[1,6,2,5,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[3,1,6,4,7,5,2]=>[1,6,2,3,4,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,1,6,5,2,4,7]=>[1,6,2,4,7,3,5]=>{{1},{2,3,6},{4},{5,7}}=>{{1},{2,3,7},{4},{5,6}}
[3,1,6,5,2,7,4]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,1,6,5,4,2,7]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,1,6,5,4,7,2]=>[1,6,2,3,4,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,1,6,5,7,2,4]=>[1,6,2,4,3,5,7]=>{{1},{2,3,5,6},{4},{7}}=>{{1},{2,3,5,6},{4},{7}}
[3,1,6,5,7,4,2]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[3,1,6,7,2,4,5]=>[1,6,7,2,4,5,3]=>{{1},{2,4,5,6},{3,7}}=>{{1},{2,5,7},{3,4,6}}
[3,1,6,7,2,5,4]=>[1,6,7,2,5,3,4]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[3,1,6,7,4,2,5]=>[1,6,7,2,5,3,4]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[3,1,6,7,4,5,2]=>[1,6,7,2,3,4,5]=>{{1},{2,4,6},{3,5,7}}=>{{1},{2,7},{3,4,5,6}}
[3,1,6,7,5,2,4]=>[1,6,7,2,4,3,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,1,6,7,5,4,2]=>[1,6,7,2,3,4,5]=>{{1},{2,4,6},{3,5,7}}=>{{1},{2,7},{3,4,5,6}}
[3,1,7,2,4,5,6]=>[1,7,2,4,5,6,3]=>{{1},{2,3,7},{4},{5},{6}}=>{{1},{2,3,7},{4},{5},{6}}
[3,1,7,2,4,6,5]=>[1,7,2,4,6,3,5]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[3,1,7,2,5,4,6]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,1,7,2,5,6,4]=>[1,7,2,5,6,3,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,1,7,2,6,4,5]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[3,1,7,2,6,5,4]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[3,1,7,4,2,5,6]=>[1,7,2,5,6,3,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,1,7,4,2,6,5]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[3,1,7,4,5,2,6]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[3,1,7,4,5,6,2]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,1,7,4,6,2,5]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,1,7,4,6,5,2]=>[1,7,2,3,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[3,1,7,5,2,4,6]=>[1,7,2,4,6,3,5]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[3,1,7,5,2,6,4]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[3,1,7,5,4,2,6]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[3,1,7,5,4,6,2]=>[1,7,2,3,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[3,1,7,5,6,2,4]=>[1,7,2,4,3,5,6]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[3,1,7,5,6,4,2]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,1,7,6,2,4,5]=>[1,7,2,4,5,3,6]=>{{1},{2,3,6,7},{4},{5}}=>{{1},{2,3,6,7},{4},{5}}
[3,1,7,6,2,5,4]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,1,7,6,4,2,5]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,1,7,6,4,5,2]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,1,7,6,5,2,4]=>[1,7,2,4,3,5,6]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[3,1,7,6,5,4,2]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,2,1,4,5,6,7]=>[1,4,5,6,7,2,3]=>{{1},{2,4,6},{3,5,7}}=>{{1},{2,7},{3,4,5,6}}
[3,2,1,4,5,7,6]=>[1,4,5,7,2,3,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,2,1,4,6,5,7]=>[1,4,6,2,3,5,7]=>{{1},{2,4},{3,5,6},{7}}=>{{1},{2,5,6},{3,4},{7}}
[3,2,1,4,6,7,5]=>[1,4,6,7,2,3,5]=>{{1},{2,4,5,7},{3,6}}=>{{1},{2,5,6},{3,4,7}}
[3,2,1,4,7,5,6]=>[1,4,7,2,3,5,6]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[3,2,1,4,7,6,5]=>[1,4,7,2,3,5,6]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[3,2,1,5,4,6,7]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[3,2,1,5,4,7,6]=>[1,5,2,3,4,7,6]=>{{1},{2,3,4,5},{6,7}}=>{{1},{2,3,4,5},{6,7}}
[3,2,1,5,6,4,7]=>[1,5,6,2,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[3,2,1,5,6,7,4]=>[1,5,6,7,2,3,4]=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[3,2,1,5,7,4,6]=>[1,5,7,2,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,2,1,5,7,6,4]=>[1,5,7,2,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,2,1,6,4,5,7]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[3,2,1,6,4,7,5]=>[1,6,2,3,4,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,2,1,6,5,4,7]=>[1,6,2,3,4,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,2,1,6,5,7,4]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[3,2,1,6,7,4,5]=>[1,6,7,2,3,4,5]=>{{1},{2,4,6},{3,5,7}}=>{{1},{2,7},{3,4,5,6}}
[3,2,1,6,7,5,4]=>[1,6,7,2,3,4,5]=>{{1},{2,4,6},{3,5,7}}=>{{1},{2,7},{3,4,5,6}}
[3,2,1,7,4,5,6]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,2,1,7,4,6,5]=>[1,7,2,3,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[3,2,1,7,5,4,6]=>[1,7,2,3,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[3,2,1,7,5,6,4]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,2,1,7,6,4,5]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,2,1,7,6,5,4]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,2,4,1,5,6,7]=>[1,5,6,7,2,4,3]=>{{1},{2,5},{3,4,6,7}}=>{{1},{2,4,5},{3,6,7}}
[3,2,4,1,5,7,6]=>[1,5,7,2,4,3,6]=>{{1},{2,4,5},{3,6,7}}=>{{1},{2,5},{3,4,6,7}}
[3,2,4,1,6,5,7]=>[1,6,2,4,3,5,7]=>{{1},{2,3,5,6},{4},{7}}=>{{1},{2,3,5,6},{4},{7}}
[3,2,4,1,6,7,5]=>[1,6,7,2,4,3,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,2,4,1,7,5,6]=>[1,7,2,4,3,5,6]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[3,2,4,1,7,6,5]=>[1,7,2,4,3,5,6]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[3,2,4,5,1,6,7]=>[1,6,7,2,4,5,3]=>{{1},{2,4,5,6},{3,7}}=>{{1},{2,5,7},{3,4,6}}
[3,2,4,5,1,7,6]=>[1,7,2,4,5,3,6]=>{{1},{2,3,6,7},{4},{5}}=>{{1},{2,3,6,7},{4},{5}}
[3,2,4,5,6,1,7]=>[1,7,2,4,5,6,3]=>{{1},{2,3,7},{4},{5},{6}}=>{{1},{2,3,7},{4},{5},{6}}
[3,2,4,5,6,7,1]=>[1,2,4,5,6,7,3]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,2,4,5,7,1,6]=>[1,6,2,4,5,7,3]=>{{1},{2,3,6,7},{4},{5}}=>{{1},{2,3,6,7},{4},{5}}
[3,2,4,5,7,6,1]=>[1,2,4,5,7,3,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,2,4,6,1,5,7]=>[1,5,7,2,4,6,3]=>{{1},{2,4,5},{3,7},{6}}=>{{1},{2,5},{3,4,7},{6}}
[3,2,4,6,1,7,5]=>[1,7,2,4,6,3,5]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[3,2,4,6,5,1,7]=>[1,7,2,4,6,3,5]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[3,2,4,6,5,7,1]=>[1,2,4,6,3,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[3,2,4,6,7,1,5]=>[1,5,2,4,6,7,3]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[3,2,4,6,7,5,1]=>[1,2,4,6,7,3,5]=>{{1},{2},{3,4,6},{5,7}}=>{{1},{2},{3,4,7},{5,6}}
[3,2,4,7,1,5,6]=>[1,5,6,2,4,7,3]=>{{1},{2,4,5},{3,6,7}}=>{{1},{2,5},{3,4,6,7}}
[3,2,4,7,1,6,5]=>[1,6,2,4,7,3,5]=>{{1},{2,3,6},{4},{5,7}}=>{{1},{2,3,7},{4},{5,6}}
[3,2,4,7,5,1,6]=>[1,6,2,4,7,3,5]=>{{1},{2,3,6},{4},{5,7}}=>{{1},{2,3,7},{4},{5,6}}
[3,2,4,7,5,6,1]=>[1,2,4,7,3,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,2,4,7,6,1,5]=>[1,5,2,4,7,3,6]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[3,2,4,7,6,5,1]=>[1,2,4,7,3,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,2,5,1,4,6,7]=>[1,4,6,7,2,5,3]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,2,5,1,4,7,6]=>[1,4,7,2,5,3,6]=>{{1},{2,4},{3,6,7},{5}}=>{{1},{2,6,7},{3,4},{5}}
[3,2,5,1,6,4,7]=>[1,6,2,5,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[3,2,5,1,6,7,4]=>[1,6,7,2,5,3,4]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[3,2,5,1,7,4,6]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,2,5,1,7,6,4]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,2,5,4,1,6,7]=>[1,6,7,2,5,3,4]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[3,2,5,4,1,7,6]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,2,5,4,6,1,7]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,2,5,4,6,7,1]=>[1,2,5,3,4,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6},{7}}
[3,2,5,4,7,1,6]=>[1,6,2,5,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[3,2,5,4,7,6,1]=>[1,2,5,3,4,7,6]=>{{1},{2},{3,4,5},{6,7}}=>{{1},{2},{3,4,5},{6,7}}
[3,2,5,6,1,4,7]=>[1,4,7,2,5,6,3]=>{{1},{2,4},{3,7},{5},{6}}=>{{1},{2,7},{3,4},{5},{6}}
[3,2,5,6,1,7,4]=>[1,7,2,5,6,3,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,2,5,6,4,1,7]=>[1,7,2,5,6,3,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,2,5,6,4,7,1]=>[1,2,5,6,3,4,7]=>{{1},{2},{3,5},{4,6},{7}}=>{{1},{2},{3,6},{4,5},{7}}
[3,2,5,6,7,1,4]=>[1,4,2,5,6,7,3]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,2,5,6,7,4,1]=>[1,2,5,6,7,3,4]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,2,5,7,1,4,6]=>[1,4,6,2,5,7,3]=>{{1},{2,4},{3,6,7},{5}}=>{{1},{2,6,7},{3,4},{5}}
[3,2,5,7,1,6,4]=>[1,6,2,5,7,3,4]=>{{1},{2,3,6},{4,5,7}}=>{{1},{2,3,5,6},{4,7}}
[3,2,5,7,4,1,6]=>[1,6,2,5,7,3,4]=>{{1},{2,3,6},{4,5,7}}=>{{1},{2,3,5,6},{4,7}}
[3,2,5,7,4,6,1]=>[1,2,5,7,3,4,6]=>{{1},{2},{3,5},{4,6,7}}=>{{1},{2},{3,6,7},{4,5}}
[3,2,5,7,6,1,4]=>[1,4,2,5,7,3,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,2,5,7,6,4,1]=>[1,2,5,7,3,4,6]=>{{1},{2},{3,5},{4,6,7}}=>{{1},{2},{3,6,7},{4,5}}
[3,2,6,1,4,5,7]=>[1,4,5,7,2,6,3]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[3,2,6,1,4,7,5]=>[1,4,7,2,6,3,5]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[3,2,6,1,5,4,7]=>[1,5,2,6,3,4,7]=>{{1},{2,3,5},{4,6},{7}}=>{{1},{2,3,6},{4,5},{7}}
[3,2,6,1,5,7,4]=>[1,5,7,2,6,3,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,2,6,1,7,4,5]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[3,2,6,1,7,5,4]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[3,2,6,4,1,5,7]=>[1,5,7,2,6,3,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,2,6,4,1,7,5]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[3,2,6,4,5,1,7]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[3,2,6,4,5,7,1]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[3,2,6,4,7,1,5]=>[1,5,2,6,3,4,7]=>{{1},{2,3,5},{4,6},{7}}=>{{1},{2,3,6},{4,5},{7}}
[3,2,6,4,7,5,1]=>[1,2,6,3,4,7,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,2,6,5,1,4,7]=>[1,4,7,2,6,3,5]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[3,2,6,5,1,7,4]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[3,2,6,5,4,1,7]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[3,2,6,5,4,7,1]=>[1,2,6,3,4,7,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,2,6,5,7,1,4]=>[1,4,2,6,3,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[3,2,6,5,7,4,1]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[3,2,6,7,1,4,5]=>[1,4,5,2,6,7,3]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[3,2,6,7,1,5,4]=>[1,5,2,6,7,3,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,2,6,7,4,1,5]=>[1,5,2,6,7,3,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,2,6,7,4,5,1]=>[1,2,6,7,3,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,2,6,7,5,1,4]=>[1,4,2,6,7,3,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[3,2,6,7,5,4,1]=>[1,2,6,7,3,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,2,7,1,4,5,6]=>[1,4,5,6,2,7,3]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,2,7,1,4,6,5]=>[1,4,6,2,7,3,5]=>{{1},{2,4},{3,6},{5,7}}=>{{1},{2,7},{3,4},{5,6}}
[3,2,7,1,5,4,6]=>[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[3,2,7,1,5,6,4]=>[1,5,6,2,7,3,4]=>{{1},{2,4,5,7},{3,6}}=>{{1},{2,5,6},{3,4,7}}
[3,2,7,1,6,4,5]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,2,7,1,6,5,4]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,2,7,4,1,5,6]=>[1,5,6,2,7,3,4]=>{{1},{2,4,5,7},{3,6}}=>{{1},{2,5,6},{3,4,7}}
[3,2,7,4,1,6,5]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,2,7,4,5,1,6]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,2,7,4,5,6,1]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,2,7,4,6,1,5]=>[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[3,2,7,4,6,5,1]=>[1,2,7,3,4,6,5]=>{{1},{2},{3,4,5,7},{6}}=>{{1},{2},{3,4,5,7},{6}}
[3,2,7,5,1,4,6]=>[1,4,6,2,7,3,5]=>{{1},{2,4},{3,6},{5,7}}=>{{1},{2,7},{3,4},{5,6}}
[3,2,7,5,1,6,4]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,2,7,5,4,1,6]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,2,7,5,4,6,1]=>[1,2,7,3,4,6,5]=>{{1},{2},{3,4,5,7},{6}}=>{{1},{2},{3,4,5,7},{6}}
[3,2,7,5,6,1,4]=>[1,4,2,7,3,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,2,7,5,6,4,1]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,2,7,6,1,4,5]=>[1,4,5,2,7,3,6]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[3,2,7,6,1,5,4]=>[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[3,2,7,6,4,1,5]=>[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[3,2,7,6,4,5,1]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,2,7,6,5,1,4]=>[1,4,2,7,3,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,2,7,6,5,4,1]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,4,1,2,5,6,7]=>[1,2,5,6,7,3,4]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,4,1,2,5,7,6]=>[1,2,5,7,3,4,6]=>{{1},{2},{3,5},{4,6,7}}=>{{1},{2},{3,6,7},{4,5}}
[3,4,1,2,6,5,7]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[3,4,1,2,6,7,5]=>[1,2,6,7,3,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,4,1,2,7,5,6]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,4,1,2,7,6,5]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,4,1,5,2,6,7]=>[1,5,2,6,7,3,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,4,1,5,2,7,6]=>[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[3,4,1,5,6,2,7]=>[1,5,6,2,7,3,4]=>{{1},{2,4,5,7},{3,6}}=>{{1},{2,5,6},{3,4,7}}
[3,4,1,5,6,7,2]=>[1,5,6,7,2,3,4]=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[3,4,1,5,7,2,6]=>[1,5,7,2,6,3,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,4,1,5,7,6,2]=>[1,5,7,2,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,4,1,6,2,5,7]=>[1,6,2,5,7,3,4]=>{{1},{2,3,6},{4,5,7}}=>{{1},{2,3,5,6},{4,7}}
[3,4,1,6,2,7,5]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,4,1,6,5,2,7]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,4,1,6,5,7,2]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[3,4,1,6,7,2,5]=>[1,6,7,2,5,3,4]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[3,4,1,6,7,5,2]=>[1,6,7,2,3,4,5]=>{{1},{2,4,6},{3,5,7}}=>{{1},{2,7},{3,4,5,6}}
[3,4,1,7,2,5,6]=>[1,7,2,5,6,3,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,4,1,7,2,6,5]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[3,4,1,7,5,2,6]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[3,4,1,7,5,6,2]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,4,1,7,6,2,5]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,4,1,7,6,5,2]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,4,2,1,5,6,7]=>[1,5,6,7,2,3,4]=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[3,4,2,1,5,7,6]=>[1,5,7,2,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,4,2,1,6,5,7]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[3,4,2,1,6,7,5]=>[1,6,7,2,3,4,5]=>{{1},{2,4,6},{3,5,7}}=>{{1},{2,7},{3,4,5,6}}
[3,4,2,1,7,5,6]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,4,2,1,7,6,5]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,4,2,5,1,6,7]=>[1,6,7,2,5,3,4]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[3,4,2,5,1,7,6]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,4,2,5,6,1,7]=>[1,7,2,5,6,3,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,4,2,5,6,7,1]=>[1,2,5,6,7,3,4]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,4,2,5,7,1,6]=>[1,6,2,5,7,3,4]=>{{1},{2,3,6},{4,5,7}}=>{{1},{2,3,5,6},{4,7}}
[3,4,2,5,7,6,1]=>[1,2,5,7,3,4,6]=>{{1},{2},{3,5},{4,6,7}}=>{{1},{2},{3,6,7},{4,5}}
[3,4,2,6,1,5,7]=>[1,5,7,2,6,3,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,4,2,6,1,7,5]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[3,4,2,6,5,1,7]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[3,4,2,6,5,7,1]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[3,4,2,6,7,1,5]=>[1,5,2,6,7,3,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,4,2,6,7,5,1]=>[1,2,6,7,3,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,4,2,7,1,5,6]=>[1,5,6,2,7,3,4]=>{{1},{2,4,5,7},{3,6}}=>{{1},{2,5,6},{3,4,7}}
[3,4,2,7,1,6,5]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,4,2,7,5,1,6]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,4,2,7,5,6,1]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,4,2,7,6,1,5]=>[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[3,4,2,7,6,5,1]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,4,5,1,2,6,7]=>[1,2,6,7,3,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,4,5,1,2,7,6]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,4,5,1,6,2,7]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,4,5,1,6,7,2]=>[1,6,7,2,3,4,5]=>{{1},{2,4,6},{3,5,7}}=>{{1},{2,7},{3,4,5,6}}
[3,4,5,1,7,2,6]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[3,4,5,1,7,6,2]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,4,5,2,1,6,7]=>[1,6,7,2,3,4,5]=>{{1},{2,4,6},{3,5,7}}=>{{1},{2,7},{3,4,5,6}}
[3,4,5,2,1,7,6]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,4,5,2,6,1,7]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[3,4,5,2,6,7,1]=>[1,2,6,7,3,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,4,5,2,7,1,6]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,4,5,2,7,6,1]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,4,5,6,1,2,7]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,4,5,6,1,7,2]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,4,5,6,2,1,7]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,4,5,6,2,7,1]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,4,5,6,7,1,2]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[3,4,5,6,7,2,1]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[3,4,5,7,1,2,6]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[3,4,5,7,1,6,2]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[3,4,5,7,2,1,6]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[3,4,5,7,2,6,1]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[3,4,5,7,6,1,2]=>[1,2,3,4,5,7,6]=>{{1},{2},{3},{4},{5},{6,7}}=>{{1},{2},{3},{4},{5},{6,7}}
[3,4,5,7,6,2,1]=>[1,2,3,4,5,7,6]=>{{1},{2},{3},{4},{5},{6,7}}=>{{1},{2},{3},{4},{5},{6,7}}
[3,4,6,1,2,5,7]=>[1,2,5,7,3,4,6]=>{{1},{2},{3,5},{4,6,7}}=>{{1},{2},{3,6,7},{4,5}}
[3,4,6,1,2,7,5]=>[1,2,7,3,4,6,5]=>{{1},{2},{3,4,5,7},{6}}=>{{1},{2},{3,4,5,7},{6}}
[3,4,6,1,5,2,7]=>[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[3,4,6,1,5,7,2]=>[1,5,7,2,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,4,6,1,7,2,5]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,4,6,1,7,5,2]=>[1,7,2,3,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[3,4,6,2,1,5,7]=>[1,5,7,2,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,4,6,2,1,7,5]=>[1,7,2,3,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[3,4,6,2,5,1,7]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,4,6,2,5,7,1]=>[1,2,5,7,3,4,6]=>{{1},{2},{3,5},{4,6,7}}=>{{1},{2},{3,6,7},{4,5}}
[3,4,6,2,7,1,5]=>[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[3,4,6,2,7,5,1]=>[1,2,7,3,4,6,5]=>{{1},{2},{3,4,5,7},{6}}=>{{1},{2},{3,4,5,7},{6}}
[3,4,6,5,1,2,7]=>[1,2,7,3,4,6,5]=>{{1},{2},{3,4,5,7},{6}}=>{{1},{2},{3,4,5,7},{6}}
[3,4,6,5,1,7,2]=>[1,7,2,3,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[3,4,6,5,2,1,7]=>[1,7,2,3,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[3,4,6,5,2,7,1]=>[1,2,7,3,4,6,5]=>{{1},{2},{3,4,5,7},{6}}=>{{1},{2},{3,4,5,7},{6}}
[3,4,6,5,7,1,2]=>[1,2,3,4,6,5,7]=>{{1},{2},{3},{4},{5,6},{7}}=>{{1},{2},{3},{4},{5,6},{7}}
[3,4,6,5,7,2,1]=>[1,2,3,4,6,5,7]=>{{1},{2},{3},{4},{5,6},{7}}=>{{1},{2},{3},{4},{5,6},{7}}
[3,4,6,7,1,2,5]=>[1,2,5,3,4,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6},{7}}
[3,4,6,7,1,5,2]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[3,4,6,7,2,1,5]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[3,4,6,7,2,5,1]=>[1,2,5,3,4,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6},{7}}
[3,4,6,7,5,1,2]=>[1,2,3,4,6,7,5]=>{{1},{2},{3},{4},{5,6,7}}=>{{1},{2},{3},{4},{5,6,7}}
[3,4,6,7,5,2,1]=>[1,2,3,4,6,7,5]=>{{1},{2},{3},{4},{5,6,7}}=>{{1},{2},{3},{4},{5,6,7}}
[3,4,7,1,2,5,6]=>[1,2,5,6,3,4,7]=>{{1},{2},{3,5},{4,6},{7}}=>{{1},{2},{3,6},{4,5},{7}}
[3,4,7,1,2,6,5]=>[1,2,6,3,4,7,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,4,7,1,5,2,6]=>[1,5,2,6,3,4,7]=>{{1},{2,3,5},{4,6},{7}}=>{{1},{2,3,6},{4,5},{7}}
[3,4,7,1,5,6,2]=>[1,5,6,2,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[3,4,7,1,6,2,5]=>[1,6,2,5,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[3,4,7,1,6,5,2]=>[1,6,2,3,4,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,4,7,2,1,5,6]=>[1,5,6,2,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[3,4,7,2,1,6,5]=>[1,6,2,3,4,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,4,7,2,5,1,6]=>[1,6,2,5,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[3,4,7,2,5,6,1]=>[1,2,5,6,3,4,7]=>{{1},{2},{3,5},{4,6},{7}}=>{{1},{2},{3,6},{4,5},{7}}
[3,4,7,2,6,1,5]=>[1,5,2,6,3,4,7]=>{{1},{2,3,5},{4,6},{7}}=>{{1},{2,3,6},{4,5},{7}}
[3,4,7,2,6,5,1]=>[1,2,6,3,4,7,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,4,7,5,1,2,6]=>[1,2,6,3,4,7,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,4,7,5,1,6,2]=>[1,6,2,3,4,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,4,7,5,2,1,6]=>[1,6,2,3,4,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,4,7,5,2,6,1]=>[1,2,6,3,4,7,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,4,7,5,6,1,2]=>[1,2,3,4,7,5,6]=>{{1},{2},{3},{4},{5,6,7}}=>{{1},{2},{3},{4},{5,6,7}}
[3,4,7,5,6,2,1]=>[1,2,3,4,7,5,6]=>{{1},{2},{3},{4},{5,6,7}}=>{{1},{2},{3},{4},{5,6,7}}
[3,4,7,6,1,2,5]=>[1,2,5,3,4,7,6]=>{{1},{2},{3,4,5},{6,7}}=>{{1},{2},{3,4,5},{6,7}}
[3,4,7,6,1,5,2]=>[1,5,2,3,4,7,6]=>{{1},{2,3,4,5},{6,7}}=>{{1},{2,3,4,5},{6,7}}
[3,4,7,6,2,1,5]=>[1,5,2,3,4,7,6]=>{{1},{2,3,4,5},{6,7}}=>{{1},{2,3,4,5},{6,7}}
[3,4,7,6,2,5,1]=>[1,2,5,3,4,7,6]=>{{1},{2},{3,4,5},{6,7}}=>{{1},{2},{3,4,5},{6,7}}
[3,4,7,6,5,1,2]=>[1,2,3,4,7,5,6]=>{{1},{2},{3},{4},{5,6,7}}=>{{1},{2},{3},{4},{5,6,7}}
[3,4,7,6,5,2,1]=>[1,2,3,4,7,5,6]=>{{1},{2},{3},{4},{5,6,7}}=>{{1},{2},{3},{4},{5,6,7}}
[3,5,1,2,4,6,7]=>[1,2,4,6,7,3,5]=>{{1},{2},{3,4,6},{5,7}}=>{{1},{2},{3,4,7},{5,6}}
[3,5,1,2,4,7,6]=>[1,2,4,7,3,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,5,1,2,6,4,7]=>[1,2,6,3,5,4,7]=>{{1},{2},{3,4,6},{5},{7}}=>{{1},{2},{3,4,6},{5},{7}}
[3,5,1,2,6,7,4]=>[1,2,6,7,3,5,4]=>{{1},{2},{3,5,6},{4,7}}=>{{1},{2},{3,6},{4,5,7}}
[3,5,1,2,7,4,6]=>[1,2,7,3,5,4,6]=>{{1},{2},{3,4,6,7},{5}}=>{{1},{2},{3,4,6,7},{5}}
[3,5,1,2,7,6,4]=>[1,2,7,3,5,4,6]=>{{1},{2},{3,4,6,7},{5}}=>{{1},{2},{3,4,6,7},{5}}
[3,5,1,4,2,6,7]=>[1,4,2,6,7,3,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[3,5,1,4,2,7,6]=>[1,4,2,7,3,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,5,1,4,6,2,7]=>[1,4,6,2,7,3,5]=>{{1},{2,4},{3,6},{5,7}}=>{{1},{2,7},{3,4},{5,6}}
[3,5,1,4,6,7,2]=>[1,4,6,7,2,3,5]=>{{1},{2,4,5,7},{3,6}}=>{{1},{2,5,6},{3,4,7}}
[3,5,1,4,7,2,6]=>[1,4,7,2,6,3,5]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[3,5,1,4,7,6,2]=>[1,4,7,2,3,5,6]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[3,5,1,6,2,4,7]=>[1,6,2,4,7,3,5]=>{{1},{2,3,6},{4},{5,7}}=>{{1},{2,3,7},{4},{5,6}}
[3,5,1,6,2,7,4]=>[1,6,2,7,3,5,4]=>{{1},{2,3,5,6},{4,7}}=>{{1},{2,3,6},{4,5,7}}
[3,5,1,6,4,2,7]=>[1,6,2,7,3,5,4]=>{{1},{2,3,5,6},{4,7}}=>{{1},{2,3,6},{4,5,7}}
[3,5,1,6,4,7,2]=>[1,6,2,3,5,4,7]=>{{1},{2,3,4,6},{5},{7}}=>{{1},{2,3,4,6},{5},{7}}
[3,5,1,6,7,2,4]=>[1,6,7,2,4,3,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,5,1,6,7,4,2]=>[1,6,7,2,3,5,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,5,1,7,2,4,6]=>[1,7,2,4,6,3,5]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[3,5,1,7,2,6,4]=>[1,7,2,6,3,5,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,5,1,7,4,2,6]=>[1,7,2,6,3,5,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,5,1,7,4,6,2]=>[1,7,2,3,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[3,5,1,7,6,2,4]=>[1,7,2,4,3,5,6]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[3,5,1,7,6,4,2]=>[1,7,2,3,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[3,5,2,1,4,6,7]=>[1,4,6,7,2,3,5]=>{{1},{2,4,5,7},{3,6}}=>{{1},{2,5,6},{3,4,7}}
[3,5,2,1,4,7,6]=>[1,4,7,2,3,5,6]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[3,5,2,1,6,4,7]=>[1,6,2,3,5,4,7]=>{{1},{2,3,4,6},{5},{7}}=>{{1},{2,3,4,6},{5},{7}}
[3,5,2,1,6,7,4]=>[1,6,7,2,3,5,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,5,2,1,7,4,6]=>[1,7,2,3,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[3,5,2,1,7,6,4]=>[1,7,2,3,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[3,5,2,4,1,6,7]=>[1,6,7,2,4,3,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,5,2,4,1,7,6]=>[1,7,2,4,3,5,6]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[3,5,2,4,6,1,7]=>[1,7,2,4,6,3,5]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[3,5,2,4,6,7,1]=>[1,2,4,6,7,3,5]=>{{1},{2},{3,4,6},{5,7}}=>{{1},{2},{3,4,7},{5,6}}
[3,5,2,4,7,1,6]=>[1,6,2,4,7,3,5]=>{{1},{2,3,6},{4},{5,7}}=>{{1},{2,3,7},{4},{5,6}}
[3,5,2,4,7,6,1]=>[1,2,4,7,3,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,5,2,6,1,4,7]=>[1,4,7,2,6,3,5]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[3,5,2,6,1,7,4]=>[1,7,2,6,3,5,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,5,2,6,4,1,7]=>[1,7,2,6,3,5,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,5,2,6,4,7,1]=>[1,2,6,3,5,4,7]=>{{1},{2},{3,4,6},{5},{7}}=>{{1},{2},{3,4,6},{5},{7}}
[3,5,2,6,7,1,4]=>[1,4,2,6,7,3,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[3,5,2,6,7,4,1]=>[1,2,6,7,3,5,4]=>{{1},{2},{3,5,6},{4,7}}=>{{1},{2},{3,6},{4,5,7}}
[3,5,2,7,1,4,6]=>[1,4,6,2,7,3,5]=>{{1},{2,4},{3,6},{5,7}}=>{{1},{2,7},{3,4},{5,6}}
[3,5,2,7,1,6,4]=>[1,6,2,7,3,5,4]=>{{1},{2,3,5,6},{4,7}}=>{{1},{2,3,6},{4,5,7}}
[3,5,2,7,4,1,6]=>[1,6,2,7,3,5,4]=>{{1},{2,3,5,6},{4,7}}=>{{1},{2,3,6},{4,5,7}}
[3,5,2,7,4,6,1]=>[1,2,7,3,5,4,6]=>{{1},{2},{3,4,6,7},{5}}=>{{1},{2},{3,4,6,7},{5}}
[3,5,2,7,6,1,4]=>[1,4,2,7,3,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,5,2,7,6,4,1]=>[1,2,7,3,5,4,6]=>{{1},{2},{3,4,6,7},{5}}=>{{1},{2},{3,4,6,7},{5}}
[3,5,4,1,2,6,7]=>[1,2,6,7,3,5,4]=>{{1},{2},{3,5,6},{4,7}}=>{{1},{2},{3,6},{4,5,7}}
[3,5,4,1,2,7,6]=>[1,2,7,3,5,4,6]=>{{1},{2},{3,4,6,7},{5}}=>{{1},{2},{3,4,6,7},{5}}
[3,5,4,1,6,2,7]=>[1,6,2,7,3,5,4]=>{{1},{2,3,5,6},{4,7}}=>{{1},{2,3,6},{4,5,7}}
[3,5,4,1,6,7,2]=>[1,6,7,2,3,5,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,5,4,1,7,2,6]=>[1,7,2,6,3,5,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,5,4,1,7,6,2]=>[1,7,2,3,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[3,5,4,2,1,6,7]=>[1,6,7,2,3,5,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,5,4,2,1,7,6]=>[1,7,2,3,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[3,5,4,2,6,1,7]=>[1,7,2,6,3,5,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,5,4,2,6,7,1]=>[1,2,6,7,3,5,4]=>{{1},{2},{3,5,6},{4,7}}=>{{1},{2},{3,6},{4,5,7}}
[3,5,4,2,7,1,6]=>[1,6,2,7,3,5,4]=>{{1},{2,3,5,6},{4,7}}=>{{1},{2,3,6},{4,5,7}}
[3,5,4,2,7,6,1]=>[1,2,7,3,5,4,6]=>{{1},{2},{3,4,6,7},{5}}=>{{1},{2},{3,4,6,7},{5}}
[3,5,4,6,1,2,7]=>[1,2,7,3,5,4,6]=>{{1},{2},{3,4,6,7},{5}}=>{{1},{2},{3,4,6,7},{5}}
[3,5,4,6,1,7,2]=>[1,7,2,3,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[3,5,4,6,2,1,7]=>[1,7,2,3,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[3,5,4,6,2,7,1]=>[1,2,7,3,5,4,6]=>{{1},{2},{3,4,6,7},{5}}=>{{1},{2},{3,4,6,7},{5}}
[3,5,4,6,7,1,2]=>[1,2,3,5,4,6,7]=>{{1},{2},{3},{4,5},{6},{7}}=>{{1},{2},{3},{4,5},{6},{7}}
[3,5,4,6,7,2,1]=>[1,2,3,5,4,6,7]=>{{1},{2},{3},{4,5},{6},{7}}=>{{1},{2},{3},{4,5},{6},{7}}
[3,5,4,7,1,2,6]=>[1,2,6,3,5,4,7]=>{{1},{2},{3,4,6},{5},{7}}=>{{1},{2},{3,4,6},{5},{7}}
[3,5,4,7,1,6,2]=>[1,6,2,3,5,4,7]=>{{1},{2,3,4,6},{5},{7}}=>{{1},{2,3,4,6},{5},{7}}
[3,5,4,7,2,1,6]=>[1,6,2,3,5,4,7]=>{{1},{2,3,4,6},{5},{7}}=>{{1},{2,3,4,6},{5},{7}}
[3,5,4,7,2,6,1]=>[1,2,6,3,5,4,7]=>{{1},{2},{3,4,6},{5},{7}}=>{{1},{2},{3,4,6},{5},{7}}
[3,5,4,7,6,1,2]=>[1,2,3,5,4,7,6]=>{{1},{2},{3},{4,5},{6,7}}=>{{1},{2},{3},{4,5},{6,7}}
[3,5,4,7,6,2,1]=>[1,2,3,5,4,7,6]=>{{1},{2},{3},{4,5},{6,7}}=>{{1},{2},{3},{4,5},{6,7}}
[3,5,6,1,2,4,7]=>[1,2,4,7,3,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,5,6,1,2,7,4]=>[1,2,7,3,5,6,4]=>{{1},{2},{3,4,7},{5},{6}}=>{{1},{2},{3,4,7},{5},{6}}
[3,5,6,1,4,2,7]=>[1,4,2,7,3,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,5,6,1,4,7,2]=>[1,4,7,2,3,5,6]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[3,5,6,1,7,2,4]=>[1,7,2,4,3,5,6]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[3,5,6,1,7,4,2]=>[1,7,2,3,5,6,4]=>{{1},{2,3,4,7},{5},{6}}=>{{1},{2,3,4,7},{5},{6}}
[3,5,6,2,1,4,7]=>[1,4,7,2,3,5,6]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[3,5,6,2,1,7,4]=>[1,7,2,3,5,6,4]=>{{1},{2,3,4,7},{5},{6}}=>{{1},{2,3,4,7},{5},{6}}
[3,5,6,2,4,1,7]=>[1,7,2,4,3,5,6]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[3,5,6,2,4,7,1]=>[1,2,4,7,3,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,5,6,2,7,1,4]=>[1,4,2,7,3,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,5,6,2,7,4,1]=>[1,2,7,3,5,6,4]=>{{1},{2},{3,4,7},{5},{6}}=>{{1},{2},{3,4,7},{5},{6}}
[3,5,6,4,1,2,7]=>[1,2,7,3,5,6,4]=>{{1},{2},{3,4,7},{5},{6}}=>{{1},{2},{3,4,7},{5},{6}}
[3,5,6,4,1,7,2]=>[1,7,2,3,5,6,4]=>{{1},{2,3,4,7},{5},{6}}=>{{1},{2,3,4,7},{5},{6}}
[3,5,6,4,2,1,7]=>[1,7,2,3,5,6,4]=>{{1},{2,3,4,7},{5},{6}}=>{{1},{2,3,4,7},{5},{6}}
[3,5,6,4,2,7,1]=>[1,2,7,3,5,6,4]=>{{1},{2},{3,4,7},{5},{6}}=>{{1},{2},{3,4,7},{5},{6}}
[3,5,6,4,7,1,2]=>[1,2,3,5,6,4,7]=>{{1},{2},{3},{4,5,6},{7}}=>{{1},{2},{3},{4,5,6},{7}}
[3,5,6,4,7,2,1]=>[1,2,3,5,6,4,7]=>{{1},{2},{3},{4,5,6},{7}}=>{{1},{2},{3},{4,5,6},{7}}
[3,5,6,7,1,2,4]=>[1,2,4,3,5,6,7]=>{{1},{2},{3,4},{5},{6},{7}}=>{{1},{2},{3,4},{5},{6},{7}}
[3,5,6,7,1,4,2]=>[1,4,2,3,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>{{1},{2,3,4},{5},{6},{7}}
[3,5,6,7,2,1,4]=>[1,4,2,3,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>{{1},{2,3,4},{5},{6},{7}}
[3,5,6,7,2,4,1]=>[1,2,4,3,5,6,7]=>{{1},{2},{3,4},{5},{6},{7}}=>{{1},{2},{3,4},{5},{6},{7}}
[3,5,6,7,4,1,2]=>[1,2,3,5,6,7,4]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[3,5,6,7,4,2,1]=>[1,2,3,5,6,7,4]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[3,5,7,1,2,4,6]=>[1,2,4,6,3,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[3,5,7,1,2,6,4]=>[1,2,6,3,5,7,4]=>{{1},{2},{3,4,6,7},{5}}=>{{1},{2},{3,4,6,7},{5}}
[3,5,7,1,4,2,6]=>[1,4,2,6,3,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[3,5,7,1,4,6,2]=>[1,4,6,2,3,5,7]=>{{1},{2,4},{3,5,6},{7}}=>{{1},{2,5,6},{3,4},{7}}
[3,5,7,1,6,2,4]=>[1,6,2,4,3,5,7]=>{{1},{2,3,5,6},{4},{7}}=>{{1},{2,3,5,6},{4},{7}}
[3,5,7,1,6,4,2]=>[1,6,2,3,5,7,4]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[3,5,7,2,1,4,6]=>[1,4,6,2,3,5,7]=>{{1},{2,4},{3,5,6},{7}}=>{{1},{2,5,6},{3,4},{7}}
[3,5,7,2,1,6,4]=>[1,6,2,3,5,7,4]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[3,5,7,2,4,1,6]=>[1,6,2,4,3,5,7]=>{{1},{2,3,5,6},{4},{7}}=>{{1},{2,3,5,6},{4},{7}}
[3,5,7,2,4,6,1]=>[1,2,4,6,3,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[3,5,7,2,6,1,4]=>[1,4,2,6,3,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[3,5,7,2,6,4,1]=>[1,2,6,3,5,7,4]=>{{1},{2},{3,4,6,7},{5}}=>{{1},{2},{3,4,6,7},{5}}
[3,5,7,4,1,2,6]=>[1,2,6,3,5,7,4]=>{{1},{2},{3,4,6,7},{5}}=>{{1},{2},{3,4,6,7},{5}}
[3,5,7,4,1,6,2]=>[1,6,2,3,5,7,4]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[3,5,7,4,2,1,6]=>[1,6,2,3,5,7,4]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[3,5,7,4,2,6,1]=>[1,2,6,3,5,7,4]=>{{1},{2},{3,4,6,7},{5}}=>{{1},{2},{3,4,6,7},{5}}
[3,5,7,4,6,1,2]=>[1,2,3,5,7,4,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[3,5,7,4,6,2,1]=>[1,2,3,5,7,4,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[3,5,7,6,1,2,4]=>[1,2,4,3,5,7,6]=>{{1},{2},{3,4},{5},{6,7}}=>{{1},{2},{3,4},{5},{6,7}}
[3,5,7,6,1,4,2]=>[1,4,2,3,5,7,6]=>{{1},{2,3,4},{5},{6,7}}=>{{1},{2,3,4},{5},{6,7}}
[3,5,7,6,2,1,4]=>[1,4,2,3,5,7,6]=>{{1},{2,3,4},{5},{6,7}}=>{{1},{2,3,4},{5},{6,7}}
[3,5,7,6,2,4,1]=>[1,2,4,3,5,7,6]=>{{1},{2},{3,4},{5},{6,7}}=>{{1},{2},{3,4},{5},{6,7}}
[3,5,7,6,4,1,2]=>[1,2,3,5,7,4,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[3,5,7,6,4,2,1]=>[1,2,3,5,7,4,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[3,6,1,2,4,5,7]=>[1,2,4,5,7,3,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,6,1,2,4,7,5]=>[1,2,4,7,3,6,5]=>{{1},{2},{3,4,5,7},{6}}=>{{1},{2},{3,4,5,7},{6}}
[3,6,1,2,5,4,7]=>[1,2,5,3,6,4,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[3,6,1,2,5,7,4]=>[1,2,5,7,3,6,4]=>{{1},{2},{3,5},{4,7},{6}}=>{{1},{2},{3,7},{4,5},{6}}
[3,6,1,2,7,4,5]=>[1,2,7,3,6,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,6,1,2,7,5,4]=>[1,2,7,3,6,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,6,1,4,2,5,7]=>[1,4,2,5,7,3,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,6,1,4,2,7,5]=>[1,4,2,7,3,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[3,6,1,4,5,2,7]=>[1,4,5,2,7,3,6]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[3,6,1,4,5,7,2]=>[1,4,5,7,2,3,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,6,1,4,7,2,5]=>[1,4,7,2,5,3,6]=>{{1},{2,4},{3,6,7},{5}}=>{{1},{2,6,7},{3,4},{5}}
[3,6,1,4,7,5,2]=>[1,4,7,2,3,6,5]=>{{1},{2,4},{3,5,7},{6}}=>{{1},{2,5,7},{3,4},{6}}
[3,6,1,5,2,4,7]=>[1,5,2,4,7,3,6]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[3,6,1,5,2,7,4]=>[1,5,2,7,3,6,4]=>{{1},{2,3,5},{4,7},{6}}=>{{1},{2,3,7},{4,5},{6}}
[3,6,1,5,4,2,7]=>[1,5,2,7,3,6,4]=>{{1},{2,3,5},{4,7},{6}}=>{{1},{2,3,7},{4,5},{6}}
[3,6,1,5,4,7,2]=>[1,5,2,3,6,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[3,6,1,5,7,2,4]=>[1,5,7,2,4,3,6]=>{{1},{2,4,5},{3,6,7}}=>{{1},{2,5},{3,4,6,7}}
[3,6,1,5,7,4,2]=>[1,5,7,2,3,6,4]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[3,6,1,7,2,4,5]=>[1,7,2,4,5,3,6]=>{{1},{2,3,6,7},{4},{5}}=>{{1},{2,3,6,7},{4},{5}}
[3,6,1,7,2,5,4]=>[1,7,2,5,3,6,4]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[3,6,1,7,4,2,5]=>[1,7,2,5,3,6,4]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[3,6,1,7,4,5,2]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,6,1,7,5,2,4]=>[1,7,2,4,3,6,5]=>{{1},{2,3,5,7},{4},{6}}=>{{1},{2,3,5,7},{4},{6}}
[3,6,1,7,5,4,2]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,6,2,1,4,5,7]=>[1,4,5,7,2,3,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,6,2,1,4,7,5]=>[1,4,7,2,3,6,5]=>{{1},{2,4},{3,5,7},{6}}=>{{1},{2,5,7},{3,4},{6}}
[3,6,2,1,5,4,7]=>[1,5,2,3,6,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[3,6,2,1,5,7,4]=>[1,5,7,2,3,6,4]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[3,6,2,1,7,4,5]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,6,2,1,7,5,4]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,6,2,4,1,5,7]=>[1,5,7,2,4,3,6]=>{{1},{2,4,5},{3,6,7}}=>{{1},{2,5},{3,4,6,7}}
[3,6,2,4,1,7,5]=>[1,7,2,4,3,6,5]=>{{1},{2,3,5,7},{4},{6}}=>{{1},{2,3,5,7},{4},{6}}
[3,6,2,4,5,1,7]=>[1,7,2,4,5,3,6]=>{{1},{2,3,6,7},{4},{5}}=>{{1},{2,3,6,7},{4},{5}}
[3,6,2,4,5,7,1]=>[1,2,4,5,7,3,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,6,2,4,7,1,5]=>[1,5,2,4,7,3,6]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[3,6,2,4,7,5,1]=>[1,2,4,7,3,6,5]=>{{1},{2},{3,4,5,7},{6}}=>{{1},{2},{3,4,5,7},{6}}
[3,6,2,5,1,4,7]=>[1,4,7,2,5,3,6]=>{{1},{2,4},{3,6,7},{5}}=>{{1},{2,6,7},{3,4},{5}}
[3,6,2,5,1,7,4]=>[1,7,2,5,3,6,4]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[3,6,2,5,4,1,7]=>[1,7,2,5,3,6,4]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[3,6,2,5,4,7,1]=>[1,2,5,3,6,4,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[3,6,2,5,7,1,4]=>[1,4,2,5,7,3,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,6,2,5,7,4,1]=>[1,2,5,7,3,6,4]=>{{1},{2},{3,5},{4,7},{6}}=>{{1},{2},{3,7},{4,5},{6}}
[3,6,2,7,1,4,5]=>[1,4,5,2,7,3,6]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[3,6,2,7,1,5,4]=>[1,5,2,7,3,6,4]=>{{1},{2,3,5},{4,7},{6}}=>{{1},{2,3,7},{4,5},{6}}
[3,6,2,7,4,1,5]=>[1,5,2,7,3,6,4]=>{{1},{2,3,5},{4,7},{6}}=>{{1},{2,3,7},{4,5},{6}}
[3,6,2,7,4,5,1]=>[1,2,7,3,6,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,6,2,7,5,1,4]=>[1,4,2,7,3,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[3,6,2,7,5,4,1]=>[1,2,7,3,6,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,6,4,1,2,5,7]=>[1,2,5,7,3,6,4]=>{{1},{2},{3,5},{4,7},{6}}=>{{1},{2},{3,7},{4,5},{6}}
[3,6,4,1,2,7,5]=>[1,2,7,3,6,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,6,4,1,5,2,7]=>[1,5,2,7,3,6,4]=>{{1},{2,3,5},{4,7},{6}}=>{{1},{2,3,7},{4,5},{6}}
[3,6,4,1,5,7,2]=>[1,5,7,2,3,6,4]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[3,6,4,1,7,2,5]=>[1,7,2,5,3,6,4]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[3,6,4,1,7,5,2]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,6,4,2,1,5,7]=>[1,5,7,2,3,6,4]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[3,6,4,2,1,7,5]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,6,4,2,5,1,7]=>[1,7,2,5,3,6,4]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[3,6,4,2,5,7,1]=>[1,2,5,7,3,6,4]=>{{1},{2},{3,5},{4,7},{6}}=>{{1},{2},{3,7},{4,5},{6}}
[3,6,4,2,7,1,5]=>[1,5,2,7,3,6,4]=>{{1},{2,3,5},{4,7},{6}}=>{{1},{2,3,7},{4,5},{6}}
[3,6,4,2,7,5,1]=>[1,2,7,3,6,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,6,4,5,1,2,7]=>[1,2,7,3,6,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,6,4,5,1,7,2]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,6,4,5,2,1,7]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,6,4,5,2,7,1]=>[1,2,7,3,6,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,6,4,5,7,1,2]=>[1,2,3,6,4,5,7]=>{{1},{2},{3},{4,5,6},{7}}=>{{1},{2},{3},{4,5,6},{7}}
[3,6,4,5,7,2,1]=>[1,2,3,6,4,5,7]=>{{1},{2},{3},{4,5,6},{7}}=>{{1},{2},{3},{4,5,6},{7}}
[3,6,4,7,1,2,5]=>[1,2,5,3,6,4,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[3,6,4,7,1,5,2]=>[1,5,2,3,6,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[3,6,4,7,2,1,5]=>[1,5,2,3,6,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[3,6,4,7,2,5,1]=>[1,2,5,3,6,4,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[3,6,4,7,5,1,2]=>[1,2,3,6,4,7,5]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[3,6,4,7,5,2,1]=>[1,2,3,6,4,7,5]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[3,6,5,1,2,4,7]=>[1,2,4,7,3,6,5]=>{{1},{2},{3,4,5,7},{6}}=>{{1},{2},{3,4,5,7},{6}}
[3,6,5,1,2,7,4]=>[1,2,7,3,6,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,6,5,1,4,2,7]=>[1,4,2,7,3,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[3,6,5,1,4,7,2]=>[1,4,7,2,3,6,5]=>{{1},{2,4},{3,5,7},{6}}=>{{1},{2,5,7},{3,4},{6}}
[3,6,5,1,7,2,4]=>[1,7,2,4,3,6,5]=>{{1},{2,3,5,7},{4},{6}}=>{{1},{2,3,5,7},{4},{6}}
[3,6,5,1,7,4,2]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,6,5,2,1,4,7]=>[1,4,7,2,3,6,5]=>{{1},{2,4},{3,5,7},{6}}=>{{1},{2,5,7},{3,4},{6}}
[3,6,5,2,1,7,4]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,6,5,2,4,1,7]=>[1,7,2,4,3,6,5]=>{{1},{2,3,5,7},{4},{6}}=>{{1},{2,3,5,7},{4},{6}}
[3,6,5,2,4,7,1]=>[1,2,4,7,3,6,5]=>{{1},{2},{3,4,5,7},{6}}=>{{1},{2},{3,4,5,7},{6}}
[3,6,5,2,7,1,4]=>[1,4,2,7,3,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[3,6,5,2,7,4,1]=>[1,2,7,3,6,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,6,5,4,1,2,7]=>[1,2,7,3,6,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,6,5,4,1,7,2]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,6,5,4,2,1,7]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,6,5,4,2,7,1]=>[1,2,7,3,6,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,6,5,4,7,1,2]=>[1,2,3,6,4,7,5]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[3,6,5,4,7,2,1]=>[1,2,3,6,4,7,5]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[3,6,5,7,1,2,4]=>[1,2,4,3,6,5,7]=>{{1},{2},{3,4},{5,6},{7}}=>{{1},{2},{3,4},{5,6},{7}}
[3,6,5,7,1,4,2]=>[1,4,2,3,6,5,7]=>{{1},{2,3,4},{5,6},{7}}=>{{1},{2,3,4},{5,6},{7}}
[3,6,5,7,2,1,4]=>[1,4,2,3,6,5,7]=>{{1},{2,3,4},{5,6},{7}}=>{{1},{2,3,4},{5,6},{7}}
[3,6,5,7,2,4,1]=>[1,2,4,3,6,5,7]=>{{1},{2},{3,4},{5,6},{7}}=>{{1},{2},{3,4},{5,6},{7}}
[3,6,5,7,4,1,2]=>[1,2,3,6,4,5,7]=>{{1},{2},{3},{4,5,6},{7}}=>{{1},{2},{3},{4,5,6},{7}}
[3,6,5,7,4,2,1]=>[1,2,3,6,4,5,7]=>{{1},{2},{3},{4,5,6},{7}}=>{{1},{2},{3},{4,5,6},{7}}
[3,6,7,1,2,4,5]=>[1,2,4,5,3,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6},{7}}
[3,6,7,1,2,5,4]=>[1,2,5,3,6,7,4]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,6,7,1,4,2,5]=>[1,4,2,5,3,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[3,6,7,1,4,5,2]=>[1,4,5,2,3,6,7]=>{{1},{2,4},{3,5},{6},{7}}=>{{1},{2,5},{3,4},{6},{7}}
[3,6,7,1,5,2,4]=>[1,5,2,4,3,6,7]=>{{1},{2,3,5},{4},{6},{7}}=>{{1},{2,3,5},{4},{6},{7}}
[3,6,7,1,5,4,2]=>[1,5,2,3,6,7,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,6,7,2,1,4,5]=>[1,4,5,2,3,6,7]=>{{1},{2,4},{3,5},{6},{7}}=>{{1},{2,5},{3,4},{6},{7}}
[3,6,7,2,1,5,4]=>[1,5,2,3,6,7,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,6,7,2,4,1,5]=>[1,5,2,4,3,6,7]=>{{1},{2,3,5},{4},{6},{7}}=>{{1},{2,3,5},{4},{6},{7}}
[3,6,7,2,4,5,1]=>[1,2,4,5,3,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6},{7}}
[3,6,7,2,5,1,4]=>[1,4,2,5,3,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[3,6,7,2,5,4,1]=>[1,2,5,3,6,7,4]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,6,7,4,1,2,5]=>[1,2,5,3,6,7,4]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,6,7,4,1,5,2]=>[1,5,2,3,6,7,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,6,7,4,2,1,5]=>[1,5,2,3,6,7,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,6,7,4,2,5,1]=>[1,2,5,3,6,7,4]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,6,7,4,5,1,2]=>[1,2,3,6,7,4,5]=>{{1},{2},{3},{4,6},{5,7}}=>{{1},{2},{3},{4,7},{5,6}}
[3,6,7,4,5,2,1]=>[1,2,3,6,7,4,5]=>{{1},{2},{3},{4,6},{5,7}}=>{{1},{2},{3},{4,7},{5,6}}
[3,6,7,5,1,2,4]=>[1,2,4,3,6,7,5]=>{{1},{2},{3,4},{5,6,7}}=>{{1},{2},{3,4},{5,6,7}}
[3,6,7,5,1,4,2]=>[1,4,2,3,6,7,5]=>{{1},{2,3,4},{5,6,7}}=>{{1},{2,3,4},{5,6,7}}
[3,6,7,5,2,1,4]=>[1,4,2,3,6,7,5]=>{{1},{2,3,4},{5,6,7}}=>{{1},{2,3,4},{5,6,7}}
[3,6,7,5,2,4,1]=>[1,2,4,3,6,7,5]=>{{1},{2},{3,4},{5,6,7}}=>{{1},{2},{3,4},{5,6,7}}
[3,6,7,5,4,1,2]=>[1,2,3,6,7,4,5]=>{{1},{2},{3},{4,6},{5,7}}=>{{1},{2},{3},{4,7},{5,6}}
[3,6,7,5,4,2,1]=>[1,2,3,6,7,4,5]=>{{1},{2},{3},{4,6},{5,7}}=>{{1},{2},{3},{4,7},{5,6}}
[3,7,1,2,4,5,6]=>[1,2,4,5,6,3,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[3,7,1,2,4,6,5]=>[1,2,4,6,3,7,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,7,1,2,5,4,6]=>[1,2,5,3,7,4,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,7,1,2,5,6,4]=>[1,2,5,6,3,7,4]=>{{1},{2},{3,5},{4,6,7}}=>{{1},{2},{3,6,7},{4,5}}
[3,7,1,2,6,4,5]=>[1,2,6,3,7,4,5]=>{{1},{2},{3,4,6},{5,7}}=>{{1},{2},{3,4,7},{5,6}}
[3,7,1,2,6,5,4]=>[1,2,6,3,7,4,5]=>{{1},{2},{3,4,6},{5,7}}=>{{1},{2},{3,4,7},{5,6}}
[3,7,1,4,2,5,6]=>[1,4,2,5,6,3,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[3,7,1,4,2,6,5]=>[1,4,2,6,3,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,7,1,4,5,2,6]=>[1,4,5,2,6,3,7]=>{{1},{2,4},{3,5,6},{7}}=>{{1},{2,5,6},{3,4},{7}}
[3,7,1,4,5,6,2]=>[1,4,5,6,2,3,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[3,7,1,4,6,2,5]=>[1,4,6,2,5,3,7]=>{{1},{2,4},{3,6},{5},{7}}=>{{1},{2,6},{3,4},{5},{7}}
[3,7,1,4,6,5,2]=>[1,4,6,2,3,7,5]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[3,7,1,5,2,4,6]=>[1,5,2,4,6,3,7]=>{{1},{2,3,5,6},{4},{7}}=>{{1},{2,3,5,6},{4},{7}}
[3,7,1,5,2,6,4]=>[1,5,2,6,3,7,4]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[3,7,1,5,4,2,6]=>[1,5,2,6,3,7,4]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[3,7,1,5,4,6,2]=>[1,5,2,3,7,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,7,1,5,6,2,4]=>[1,5,6,2,4,3,7]=>{{1},{2,4,5},{3,6},{7}}=>{{1},{2,5},{3,4,6},{7}}
[3,7,1,5,6,4,2]=>[1,5,6,2,3,7,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,7,1,6,2,4,5]=>[1,6,2,4,5,3,7]=>{{1},{2,3,6},{4},{5},{7}}=>{{1},{2,3,6},{4},{5},{7}}
[3,7,1,6,2,5,4]=>[1,6,2,5,3,7,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,7,1,6,4,2,5]=>[1,6,2,5,3,7,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,7,1,6,4,5,2]=>[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[3,7,1,6,5,2,4]=>[1,6,2,4,3,7,5]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[3,7,1,6,5,4,2]=>[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[3,7,2,1,4,5,6]=>[1,4,5,6,2,3,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[3,7,2,1,4,6,5]=>[1,4,6,2,3,7,5]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[3,7,2,1,5,4,6]=>[1,5,2,3,7,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,7,2,1,5,6,4]=>[1,5,6,2,3,7,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,7,2,1,6,4,5]=>[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[3,7,2,1,6,5,4]=>[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[3,7,2,4,1,5,6]=>[1,5,6,2,4,3,7]=>{{1},{2,4,5},{3,6},{7}}=>{{1},{2,5},{3,4,6},{7}}
[3,7,2,4,1,6,5]=>[1,6,2,4,3,7,5]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[3,7,2,4,5,1,6]=>[1,6,2,4,5,3,7]=>{{1},{2,3,6},{4},{5},{7}}=>{{1},{2,3,6},{4},{5},{7}}
[3,7,2,4,5,6,1]=>[1,2,4,5,6,3,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[3,7,2,4,6,1,5]=>[1,5,2,4,6,3,7]=>{{1},{2,3,5,6},{4},{7}}=>{{1},{2,3,5,6},{4},{7}}
[3,7,2,4,6,5,1]=>[1,2,4,6,3,7,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,7,2,5,1,4,6]=>[1,4,6,2,5,3,7]=>{{1},{2,4},{3,6},{5},{7}}=>{{1},{2,6},{3,4},{5},{7}}
[3,7,2,5,1,6,4]=>[1,6,2,5,3,7,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,7,2,5,4,1,6]=>[1,6,2,5,3,7,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,7,2,5,4,6,1]=>[1,2,5,3,7,4,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,7,2,5,6,1,4]=>[1,4,2,5,6,3,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[3,7,2,5,6,4,1]=>[1,2,5,6,3,7,4]=>{{1},{2},{3,5},{4,6,7}}=>{{1},{2},{3,6,7},{4,5}}
[3,7,2,6,1,4,5]=>[1,4,5,2,6,3,7]=>{{1},{2,4},{3,5,6},{7}}=>{{1},{2,5,6},{3,4},{7}}
[3,7,2,6,1,5,4]=>[1,5,2,6,3,7,4]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[3,7,2,6,4,1,5]=>[1,5,2,6,3,7,4]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[3,7,2,6,4,5,1]=>[1,2,6,3,7,4,5]=>{{1},{2},{3,4,6},{5,7}}=>{{1},{2},{3,4,7},{5,6}}
[3,7,2,6,5,1,4]=>[1,4,2,6,3,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,7,2,6,5,4,1]=>[1,2,6,3,7,4,5]=>{{1},{2},{3,4,6},{5,7}}=>{{1},{2},{3,4,7},{5,6}}
[3,7,4,1,2,5,6]=>[1,2,5,6,3,7,4]=>{{1},{2},{3,5},{4,6,7}}=>{{1},{2},{3,6,7},{4,5}}
[3,7,4,1,2,6,5]=>[1,2,6,3,7,4,5]=>{{1},{2},{3,4,6},{5,7}}=>{{1},{2},{3,4,7},{5,6}}
[3,7,4,1,5,2,6]=>[1,5,2,6,3,7,4]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[3,7,4,1,5,6,2]=>[1,5,6,2,3,7,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,7,4,1,6,2,5]=>[1,6,2,5,3,7,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,7,4,1,6,5,2]=>[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[3,7,4,2,1,5,6]=>[1,5,6,2,3,7,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,7,4,2,1,6,5]=>[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[3,7,4,2,5,1,6]=>[1,6,2,5,3,7,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,7,4,2,5,6,1]=>[1,2,5,6,3,7,4]=>{{1},{2},{3,5},{4,6,7}}=>{{1},{2},{3,6,7},{4,5}}
[3,7,4,2,6,1,5]=>[1,5,2,6,3,7,4]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[3,7,4,2,6,5,1]=>[1,2,6,3,7,4,5]=>{{1},{2},{3,4,6},{5,7}}=>{{1},{2},{3,4,7},{5,6}}
[3,7,4,5,1,2,6]=>[1,2,6,3,7,4,5]=>{{1},{2},{3,4,6},{5,7}}=>{{1},{2},{3,4,7},{5,6}}
[3,7,4,5,1,6,2]=>[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[3,7,4,5,2,1,6]=>[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[3,7,4,5,2,6,1]=>[1,2,6,3,7,4,5]=>{{1},{2},{3,4,6},{5,7}}=>{{1},{2},{3,4,7},{5,6}}
[3,7,4,5,6,1,2]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[3,7,4,5,6,2,1]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[3,7,4,6,1,2,5]=>[1,2,5,3,7,4,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,7,4,6,1,5,2]=>[1,5,2,3,7,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,7,4,6,2,1,5]=>[1,5,2,3,7,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,7,4,6,2,5,1]=>[1,2,5,3,7,4,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,7,4,6,5,1,2]=>[1,2,3,7,4,6,5]=>{{1},{2},{3},{4,5,7},{6}}=>{{1},{2},{3},{4,5,7},{6}}
[3,7,4,6,5,2,1]=>[1,2,3,7,4,6,5]=>{{1},{2},{3},{4,5,7},{6}}=>{{1},{2},{3},{4,5,7},{6}}
[3,7,5,1,2,4,6]=>[1,2,4,6,3,7,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,7,5,1,2,6,4]=>[1,2,6,3,7,4,5]=>{{1},{2},{3,4,6},{5,7}}=>{{1},{2},{3,4,7},{5,6}}
[3,7,5,1,4,2,6]=>[1,4,2,6,3,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,7,5,1,4,6,2]=>[1,4,6,2,3,7,5]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[3,7,5,1,6,2,4]=>[1,6,2,4,3,7,5]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[3,7,5,1,6,4,2]=>[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[3,7,5,2,1,4,6]=>[1,4,6,2,3,7,5]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[3,7,5,2,1,6,4]=>[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[3,7,5,2,4,1,6]=>[1,6,2,4,3,7,5]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[3,7,5,2,4,6,1]=>[1,2,4,6,3,7,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,7,5,2,6,1,4]=>[1,4,2,6,3,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,7,5,2,6,4,1]=>[1,2,6,3,7,4,5]=>{{1},{2},{3,4,6},{5,7}}=>{{1},{2},{3,4,7},{5,6}}
[3,7,5,4,1,2,6]=>[1,2,6,3,7,4,5]=>{{1},{2},{3,4,6},{5,7}}=>{{1},{2},{3,4,7},{5,6}}
[3,7,5,4,1,6,2]=>[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[3,7,5,4,2,1,6]=>[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[3,7,5,4,2,6,1]=>[1,2,6,3,7,4,5]=>{{1},{2},{3,4,6},{5,7}}=>{{1},{2},{3,4,7},{5,6}}
[3,7,5,4,6,1,2]=>[1,2,3,7,4,6,5]=>{{1},{2},{3},{4,5,7},{6}}=>{{1},{2},{3},{4,5,7},{6}}
[3,7,5,4,6,2,1]=>[1,2,3,7,4,6,5]=>{{1},{2},{3},{4,5,7},{6}}=>{{1},{2},{3},{4,5,7},{6}}
[3,7,5,6,1,2,4]=>[1,2,4,3,7,5,6]=>{{1},{2},{3,4},{5,6,7}}=>{{1},{2},{3,4},{5,6,7}}
[3,7,5,6,1,4,2]=>[1,4,2,3,7,5,6]=>{{1},{2,3,4},{5,6,7}}=>{{1},{2,3,4},{5,6,7}}
[3,7,5,6,2,1,4]=>[1,4,2,3,7,5,6]=>{{1},{2,3,4},{5,6,7}}=>{{1},{2,3,4},{5,6,7}}
[3,7,5,6,2,4,1]=>[1,2,4,3,7,5,6]=>{{1},{2},{3,4},{5,6,7}}=>{{1},{2},{3,4},{5,6,7}}
[3,7,5,6,4,1,2]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[3,7,5,6,4,2,1]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[3,7,6,1,2,4,5]=>[1,2,4,5,3,7,6]=>{{1},{2},{3,4,5},{6,7}}=>{{1},{2},{3,4,5},{6,7}}
[3,7,6,1,2,5,4]=>[1,2,5,3,7,4,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,7,6,1,4,2,5]=>[1,4,2,5,3,7,6]=>{{1},{2,3,4,5},{6,7}}=>{{1},{2,3,4,5},{6,7}}
[3,7,6,1,4,5,2]=>[1,4,5,2,3,7,6]=>{{1},{2,4},{3,5},{6,7}}=>{{1},{2,5},{3,4},{6,7}}
[3,7,6,1,5,2,4]=>[1,5,2,4,3,7,6]=>{{1},{2,3,5},{4},{6,7}}=>{{1},{2,3,5},{4},{6,7}}
[3,7,6,1,5,4,2]=>[1,5,2,3,7,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,7,6,2,1,4,5]=>[1,4,5,2,3,7,6]=>{{1},{2,4},{3,5},{6,7}}=>{{1},{2,5},{3,4},{6,7}}
[3,7,6,2,1,5,4]=>[1,5,2,3,7,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,7,6,2,4,1,5]=>[1,5,2,4,3,7,6]=>{{1},{2,3,5},{4},{6,7}}=>{{1},{2,3,5},{4},{6,7}}
[3,7,6,2,4,5,1]=>[1,2,4,5,3,7,6]=>{{1},{2},{3,4,5},{6,7}}=>{{1},{2},{3,4,5},{6,7}}
[3,7,6,2,5,1,4]=>[1,4,2,5,3,7,6]=>{{1},{2,3,4,5},{6,7}}=>{{1},{2,3,4,5},{6,7}}
[3,7,6,2,5,4,1]=>[1,2,5,3,7,4,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,7,6,4,1,2,5]=>[1,2,5,3,7,4,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,7,6,4,1,5,2]=>[1,5,2,3,7,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,7,6,4,2,1,5]=>[1,5,2,3,7,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[3,7,6,4,2,5,1]=>[1,2,5,3,7,4,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[3,7,6,4,5,1,2]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[3,7,6,4,5,2,1]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[3,7,6,5,1,2,4]=>[1,2,4,3,7,5,6]=>{{1},{2},{3,4},{5,6,7}}=>{{1},{2},{3,4},{5,6,7}}
[3,7,6,5,1,4,2]=>[1,4,2,3,7,5,6]=>{{1},{2,3,4},{5,6,7}}=>{{1},{2,3,4},{5,6,7}}
[3,7,6,5,2,1,4]=>[1,4,2,3,7,5,6]=>{{1},{2,3,4},{5,6,7}}=>{{1},{2,3,4},{5,6,7}}
[3,7,6,5,2,4,1]=>[1,2,4,3,7,5,6]=>{{1},{2},{3,4},{5,6,7}}=>{{1},{2},{3,4},{5,6,7}}
[3,7,6,5,4,1,2]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[3,7,6,5,4,2,1]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[4,1,2,3,5,6,7]=>[1,2,3,5,6,7,4]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[4,1,2,3,5,7,6]=>[1,2,3,5,7,4,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[4,1,2,3,6,5,7]=>[1,2,3,6,4,5,7]=>{{1},{2},{3},{4,5,6},{7}}=>{{1},{2},{3},{4,5,6},{7}}
[4,1,2,3,6,7,5]=>[1,2,3,6,7,4,5]=>{{1},{2},{3},{4,6},{5,7}}=>{{1},{2},{3},{4,7},{5,6}}
[4,1,2,3,7,5,6]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[4,1,2,3,7,6,5]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[4,1,2,5,3,6,7]=>[1,2,5,3,6,7,4]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[4,1,2,5,3,7,6]=>[1,2,5,3,7,4,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[4,1,2,5,6,3,7]=>[1,2,5,6,3,7,4]=>{{1},{2},{3,5},{4,6,7}}=>{{1},{2},{3,6,7},{4,5}}
[4,1,2,5,6,7,3]=>[1,2,5,6,7,3,4]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[4,1,2,5,7,3,6]=>[1,2,5,7,3,6,4]=>{{1},{2},{3,5},{4,7},{6}}=>{{1},{2},{3,7},{4,5},{6}}
[4,1,2,5,7,6,3]=>[1,2,5,7,3,4,6]=>{{1},{2},{3,5},{4,6,7}}=>{{1},{2},{3,6,7},{4,5}}
[4,1,2,6,3,5,7]=>[1,2,6,3,5,7,4]=>{{1},{2},{3,4,6,7},{5}}=>{{1},{2},{3,4,6,7},{5}}
[4,1,2,6,3,7,5]=>[1,2,6,3,7,4,5]=>{{1},{2},{3,4,6},{5,7}}=>{{1},{2},{3,4,7},{5,6}}
[4,1,2,6,5,3,7]=>[1,2,6,3,7,4,5]=>{{1},{2},{3,4,6},{5,7}}=>{{1},{2},{3,4,7},{5,6}}
[4,1,2,6,5,7,3]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[4,1,2,6,7,3,5]=>[1,2,6,7,3,5,4]=>{{1},{2},{3,5,6},{4,7}}=>{{1},{2},{3,6},{4,5,7}}
[4,1,2,6,7,5,3]=>[1,2,6,7,3,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[4,1,2,7,3,5,6]=>[1,2,7,3,5,6,4]=>{{1},{2},{3,4,7},{5},{6}}=>{{1},{2},{3,4,7},{5},{6}}
[4,1,2,7,3,6,5]=>[1,2,7,3,6,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[4,1,2,7,5,3,6]=>[1,2,7,3,6,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[4,1,2,7,5,6,3]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[4,1,2,7,6,3,5]=>[1,2,7,3,5,4,6]=>{{1},{2},{3,4,6,7},{5}}=>{{1},{2},{3,4,6,7},{5}}
[4,1,2,7,6,5,3]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[4,1,3,2,5,6,7]=>[1,3,2,5,6,7,4]=>{{1},{2,3},{4,5,6,7}}=>{{1},{2,3},{4,5,6,7}}
[4,1,3,2,5,7,6]=>[1,3,2,5,7,4,6]=>{{1},{2,3},{4,5,6,7}}=>{{1},{2,3},{4,5,6,7}}
[4,1,3,2,6,5,7]=>[1,3,2,6,4,5,7]=>{{1},{2,3},{4,5,6},{7}}=>{{1},{2,3},{4,5,6},{7}}
[4,1,3,2,6,7,5]=>[1,3,2,6,7,4,5]=>{{1},{2,3},{4,6},{5,7}}=>{{1},{2,3},{4,7},{5,6}}
[4,1,3,2,7,5,6]=>[1,3,2,7,4,5,6]=>{{1},{2,3},{4,5,6,7}}=>{{1},{2,3},{4,5,6,7}}
[4,1,3,2,7,6,5]=>[1,3,2,7,4,5,6]=>{{1},{2,3},{4,5,6,7}}=>{{1},{2,3},{4,5,6,7}}
[4,1,3,5,2,6,7]=>[1,3,5,2,6,7,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,1,3,5,2,7,6]=>[1,3,5,2,7,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,1,3,5,6,2,7]=>[1,3,5,6,2,7,4]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[4,1,3,5,6,7,2]=>[1,3,5,6,7,2,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,1,3,5,7,2,6]=>[1,3,5,7,2,6,4]=>{{1},{2,3,5},{4,7},{6}}=>{{1},{2,3,7},{4,5},{6}}
[4,1,3,5,7,6,2]=>[1,3,5,7,2,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[4,1,3,6,2,5,7]=>[1,3,6,2,5,7,4]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[4,1,3,6,2,7,5]=>[1,3,6,2,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[4,1,3,6,5,2,7]=>[1,3,6,2,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[4,1,3,6,5,7,2]=>[1,3,6,2,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[4,1,3,6,7,2,5]=>[1,3,6,7,2,5,4]=>{{1},{2,3,5,6},{4,7}}=>{{1},{2,3,6},{4,5,7}}
[4,1,3,6,7,5,2]=>[1,3,6,7,2,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,1,3,7,2,5,6]=>[1,3,7,2,5,6,4]=>{{1},{2,3,4,7},{5},{6}}=>{{1},{2,3,4,7},{5},{6}}
[4,1,3,7,2,6,5]=>[1,3,7,2,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,1,3,7,5,2,6]=>[1,3,7,2,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,1,3,7,5,6,2]=>[1,3,7,2,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,1,3,7,6,2,5]=>[1,3,7,2,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[4,1,3,7,6,5,2]=>[1,3,7,2,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,1,5,2,3,6,7]=>[1,5,2,3,6,7,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,1,5,2,3,7,6]=>[1,5,2,3,7,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,1,5,2,6,3,7]=>[1,5,2,6,3,7,4]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[4,1,5,2,6,7,3]=>[1,5,2,6,7,3,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,1,5,2,7,3,6]=>[1,5,2,7,3,6,4]=>{{1},{2,3,5},{4,7},{6}}=>{{1},{2,3,7},{4,5},{6}}
[4,1,5,2,7,6,3]=>[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[4,1,5,3,2,6,7]=>[1,5,2,6,7,3,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,1,5,3,2,7,6]=>[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[4,1,5,3,6,2,7]=>[1,5,2,7,3,6,4]=>{{1},{2,3,5},{4,7},{6}}=>{{1},{2,3,7},{4,5},{6}}
[4,1,5,3,6,7,2]=>[1,5,2,3,6,7,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,1,5,3,7,2,6]=>[1,5,2,6,3,7,4]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[4,1,5,3,7,6,2]=>[1,5,2,3,7,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,1,5,6,2,3,7]=>[1,5,6,2,3,7,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,1,5,6,2,7,3]=>[1,5,6,2,7,3,4]=>{{1},{2,4,5,7},{3,6}}=>{{1},{2,5,6},{3,4,7}}
[4,1,5,6,3,2,7]=>[1,5,6,2,7,3,4]=>{{1},{2,4,5,7},{3,6}}=>{{1},{2,5,6},{3,4,7}}
[4,1,5,6,3,7,2]=>[1,5,6,2,3,7,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,1,5,6,7,2,3]=>[1,5,6,7,2,3,4]=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[4,1,5,6,7,3,2]=>[1,5,6,7,2,3,4]=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[4,1,5,7,2,3,6]=>[1,5,7,2,3,6,4]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[4,1,5,7,2,6,3]=>[1,5,7,2,6,3,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,1,5,7,3,2,6]=>[1,5,7,2,6,3,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,1,5,7,3,6,2]=>[1,5,7,2,3,6,4]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[4,1,5,7,6,2,3]=>[1,5,7,2,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,1,5,7,6,3,2]=>[1,5,7,2,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,1,6,2,3,5,7]=>[1,6,2,3,5,7,4]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[4,1,6,2,3,7,5]=>[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[4,1,6,2,5,3,7]=>[1,6,2,5,3,7,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,1,6,2,5,7,3]=>[1,6,2,5,7,3,4]=>{{1},{2,3,6},{4,5,7}}=>{{1},{2,3,5,6},{4,7}}
[4,1,6,2,7,3,5]=>[1,6,2,7,3,5,4]=>{{1},{2,3,5,6},{4,7}}=>{{1},{2,3,6},{4,5,7}}
[4,1,6,2,7,5,3]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,1,6,3,2,5,7]=>[1,6,2,5,7,3,4]=>{{1},{2,3,6},{4,5,7}}=>{{1},{2,3,5,6},{4,7}}
[4,1,6,3,2,7,5]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,1,6,3,5,2,7]=>[1,6,2,7,3,5,4]=>{{1},{2,3,5,6},{4,7}}=>{{1},{2,3,6},{4,5,7}}
[4,1,6,3,5,7,2]=>[1,6,2,3,5,7,4]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[4,1,6,3,7,2,5]=>[1,6,2,5,3,7,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,1,6,3,7,5,2]=>[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[4,1,6,5,2,3,7]=>[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[4,1,6,5,2,7,3]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,1,6,5,3,2,7]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,1,6,5,3,7,2]=>[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[4,1,6,5,7,2,3]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[4,1,6,5,7,3,2]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[4,1,6,7,2,3,5]=>[1,6,7,2,3,5,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,1,6,7,2,5,3]=>[1,6,7,2,5,3,4]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[4,1,6,7,3,2,5]=>[1,6,7,2,5,3,4]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[4,1,6,7,3,5,2]=>[1,6,7,2,3,5,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,1,6,7,5,2,3]=>[1,6,7,2,3,4,5]=>{{1},{2,4,6},{3,5,7}}=>{{1},{2,7},{3,4,5,6}}
[4,1,6,7,5,3,2]=>[1,6,7,2,3,4,5]=>{{1},{2,4,6},{3,5,7}}=>{{1},{2,7},{3,4,5,6}}
[4,1,7,2,3,5,6]=>[1,7,2,3,5,6,4]=>{{1},{2,3,4,7},{5},{6}}=>{{1},{2,3,4,7},{5},{6}}
[4,1,7,2,3,6,5]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,1,7,2,5,3,6]=>[1,7,2,5,3,6,4]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[4,1,7,2,5,6,3]=>[1,7,2,5,6,3,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,1,7,2,6,3,5]=>[1,7,2,6,3,5,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,1,7,2,6,5,3]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[4,1,7,3,2,5,6]=>[1,7,2,5,6,3,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,1,7,3,2,6,5]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[4,1,7,3,5,2,6]=>[1,7,2,6,3,5,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,1,7,3,5,6,2]=>[1,7,2,3,5,6,4]=>{{1},{2,3,4,7},{5},{6}}=>{{1},{2,3,4,7},{5},{6}}
[4,1,7,3,6,2,5]=>[1,7,2,5,3,6,4]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[4,1,7,3,6,5,2]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,1,7,5,2,3,6]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,1,7,5,2,6,3]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[4,1,7,5,3,2,6]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[4,1,7,5,3,6,2]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,1,7,5,6,2,3]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,1,7,5,6,3,2]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,1,7,6,2,3,5]=>[1,7,2,3,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[4,1,7,6,2,5,3]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,1,7,6,3,2,5]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,1,7,6,3,5,2]=>[1,7,2,3,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[4,1,7,6,5,2,3]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,1,7,6,5,3,2]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,2,1,3,5,6,7]=>[1,3,5,6,7,2,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,2,1,3,5,7,6]=>[1,3,5,7,2,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[4,2,1,3,6,5,7]=>[1,3,6,2,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[4,2,1,3,6,7,5]=>[1,3,6,7,2,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,2,1,3,7,5,6]=>[1,3,7,2,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,2,1,3,7,6,5]=>[1,3,7,2,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,2,1,5,3,6,7]=>[1,5,2,3,6,7,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,2,1,5,3,7,6]=>[1,5,2,3,7,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,2,1,5,6,3,7]=>[1,5,6,2,3,7,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,2,1,5,6,7,3]=>[1,5,6,7,2,3,4]=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[4,2,1,5,7,3,6]=>[1,5,7,2,3,6,4]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[4,2,1,5,7,6,3]=>[1,5,7,2,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,2,1,6,3,5,7]=>[1,6,2,3,5,7,4]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[4,2,1,6,3,7,5]=>[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[4,2,1,6,5,3,7]=>[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[4,2,1,6,5,7,3]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[4,2,1,6,7,3,5]=>[1,6,7,2,3,5,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,2,1,6,7,5,3]=>[1,6,7,2,3,4,5]=>{{1},{2,4,6},{3,5,7}}=>{{1},{2,7},{3,4,5,6}}
[4,2,1,7,3,5,6]=>[1,7,2,3,5,6,4]=>{{1},{2,3,4,7},{5},{6}}=>{{1},{2,3,4,7},{5},{6}}
[4,2,1,7,3,6,5]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,2,1,7,5,3,6]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,2,1,7,5,6,3]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,2,1,7,6,3,5]=>[1,7,2,3,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[4,2,1,7,6,5,3]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,2,3,1,5,6,7]=>[1,5,6,7,2,3,4]=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[4,2,3,1,5,7,6]=>[1,5,7,2,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,2,3,1,6,5,7]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[4,2,3,1,6,7,5]=>[1,6,7,2,3,4,5]=>{{1},{2,4,6},{3,5,7}}=>{{1},{2,7},{3,4,5,6}}
[4,2,3,1,7,5,6]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,2,3,1,7,6,5]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,2,3,5,1,6,7]=>[1,6,7,2,3,5,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,2,3,5,1,7,6]=>[1,7,2,3,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[4,2,3,5,6,1,7]=>[1,7,2,3,5,6,4]=>{{1},{2,3,4,7},{5},{6}}=>{{1},{2,3,4,7},{5},{6}}
[4,2,3,5,6,7,1]=>[1,2,3,5,6,7,4]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[4,2,3,5,7,1,6]=>[1,6,2,3,5,7,4]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[4,2,3,5,7,6,1]=>[1,2,3,5,7,4,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[4,2,3,6,1,5,7]=>[1,5,7,2,3,6,4]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[4,2,3,6,1,7,5]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,2,3,6,5,1,7]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,2,3,6,5,7,1]=>[1,2,3,6,4,5,7]=>{{1},{2},{3},{4,5,6},{7}}=>{{1},{2},{3},{4,5,6},{7}}
[4,2,3,6,7,1,5]=>[1,5,2,3,6,7,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,2,3,6,7,5,1]=>[1,2,3,6,7,4,5]=>{{1},{2},{3},{4,6},{5,7}}=>{{1},{2},{3},{4,7},{5,6}}
[4,2,3,7,1,5,6]=>[1,5,6,2,3,7,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,2,3,7,1,6,5]=>[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[4,2,3,7,5,1,6]=>[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[4,2,3,7,5,6,1]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[4,2,3,7,6,1,5]=>[1,5,2,3,7,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,2,3,7,6,5,1]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[4,2,5,1,3,6,7]=>[1,3,6,7,2,5,4]=>{{1},{2,3,5,6},{4,7}}=>{{1},{2,3,6},{4,5,7}}
[4,2,5,1,3,7,6]=>[1,3,7,2,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[4,2,5,1,6,3,7]=>[1,6,2,5,3,7,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,2,5,1,6,7,3]=>[1,6,7,2,5,3,4]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[4,2,5,1,7,3,6]=>[1,7,2,5,3,6,4]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[4,2,5,1,7,6,3]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,2,5,3,1,6,7]=>[1,6,7,2,5,3,4]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[4,2,5,3,1,7,6]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,2,5,3,6,1,7]=>[1,7,2,5,3,6,4]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[4,2,5,3,6,7,1]=>[1,2,5,3,6,7,4]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[4,2,5,3,7,1,6]=>[1,6,2,5,3,7,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,2,5,3,7,6,1]=>[1,2,5,3,7,4,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[4,2,5,6,1,3,7]=>[1,3,7,2,5,6,4]=>{{1},{2,3,4,7},{5},{6}}=>{{1},{2,3,4,7},{5},{6}}
[4,2,5,6,1,7,3]=>[1,7,2,5,6,3,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,2,5,6,3,1,7]=>[1,7,2,5,6,3,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,2,5,6,3,7,1]=>[1,2,5,6,3,7,4]=>{{1},{2},{3,5},{4,6,7}}=>{{1},{2},{3,6,7},{4,5}}
[4,2,5,6,7,1,3]=>[1,3,2,5,6,7,4]=>{{1},{2,3},{4,5,6,7}}=>{{1},{2,3},{4,5,6,7}}
[4,2,5,6,7,3,1]=>[1,2,5,6,7,3,4]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[4,2,5,7,1,3,6]=>[1,3,6,2,5,7,4]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[4,2,5,7,1,6,3]=>[1,6,2,5,7,3,4]=>{{1},{2,3,6},{4,5,7}}=>{{1},{2,3,5,6},{4,7}}
[4,2,5,7,3,1,6]=>[1,6,2,5,7,3,4]=>{{1},{2,3,6},{4,5,7}}=>{{1},{2,3,5,6},{4,7}}
[4,2,5,7,3,6,1]=>[1,2,5,7,3,6,4]=>{{1},{2},{3,5},{4,7},{6}}=>{{1},{2},{3,7},{4,5},{6}}
[4,2,5,7,6,1,3]=>[1,3,2,5,7,4,6]=>{{1},{2,3},{4,5,6,7}}=>{{1},{2,3},{4,5,6,7}}
[4,2,5,7,6,3,1]=>[1,2,5,7,3,4,6]=>{{1},{2},{3,5},{4,6,7}}=>{{1},{2},{3,6,7},{4,5}}
[4,2,6,1,3,5,7]=>[1,3,5,7,2,6,4]=>{{1},{2,3,5},{4,7},{6}}=>{{1},{2,3,7},{4,5},{6}}
[4,2,6,1,3,7,5]=>[1,3,7,2,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,2,6,1,5,3,7]=>[1,5,2,6,3,7,4]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[4,2,6,1,5,7,3]=>[1,5,7,2,6,3,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,2,6,1,7,3,5]=>[1,7,2,6,3,5,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,2,6,1,7,5,3]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[4,2,6,3,1,5,7]=>[1,5,7,2,6,3,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,2,6,3,1,7,5]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[4,2,6,3,5,1,7]=>[1,7,2,6,3,5,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,2,6,3,5,7,1]=>[1,2,6,3,5,7,4]=>{{1},{2},{3,4,6,7},{5}}=>{{1},{2},{3,4,6,7},{5}}
[4,2,6,3,7,1,5]=>[1,5,2,6,3,7,4]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[4,2,6,3,7,5,1]=>[1,2,6,3,7,4,5]=>{{1},{2},{3,4,6},{5,7}}=>{{1},{2},{3,4,7},{5,6}}
[4,2,6,5,1,3,7]=>[1,3,7,2,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,2,6,5,1,7,3]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[4,2,6,5,3,1,7]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[4,2,6,5,3,7,1]=>[1,2,6,3,7,4,5]=>{{1},{2},{3,4,6},{5,7}}=>{{1},{2},{3,4,7},{5,6}}
[4,2,6,5,7,1,3]=>[1,3,2,6,4,5,7]=>{{1},{2,3},{4,5,6},{7}}=>{{1},{2,3},{4,5,6},{7}}
[4,2,6,5,7,3,1]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[4,2,6,7,1,3,5]=>[1,3,5,2,6,7,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,2,6,7,1,5,3]=>[1,5,2,6,7,3,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,2,6,7,3,1,5]=>[1,5,2,6,7,3,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,2,6,7,3,5,1]=>[1,2,6,7,3,5,4]=>{{1},{2},{3,5,6},{4,7}}=>{{1},{2},{3,6},{4,5,7}}
[4,2,6,7,5,1,3]=>[1,3,2,6,7,4,5]=>{{1},{2,3},{4,6},{5,7}}=>{{1},{2,3},{4,7},{5,6}}
[4,2,6,7,5,3,1]=>[1,2,6,7,3,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[4,2,7,1,3,5,6]=>[1,3,5,6,2,7,4]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[4,2,7,1,3,6,5]=>[1,3,6,2,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[4,2,7,1,5,3,6]=>[1,5,2,7,3,6,4]=>{{1},{2,3,5},{4,7},{6}}=>{{1},{2,3,7},{4,5},{6}}
[4,2,7,1,5,6,3]=>[1,5,6,2,7,3,4]=>{{1},{2,4,5,7},{3,6}}=>{{1},{2,5,6},{3,4,7}}
[4,2,7,1,6,3,5]=>[1,6,2,7,3,5,4]=>{{1},{2,3,5,6},{4,7}}=>{{1},{2,3,6},{4,5,7}}
[4,2,7,1,6,5,3]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,2,7,3,1,5,6]=>[1,5,6,2,7,3,4]=>{{1},{2,4,5,7},{3,6}}=>{{1},{2,5,6},{3,4,7}}
[4,2,7,3,1,6,5]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,2,7,3,5,1,6]=>[1,6,2,7,3,5,4]=>{{1},{2,3,5,6},{4,7}}=>{{1},{2,3,6},{4,5,7}}
[4,2,7,3,5,6,1]=>[1,2,7,3,5,6,4]=>{{1},{2},{3,4,7},{5},{6}}=>{{1},{2},{3,4,7},{5},{6}}
[4,2,7,3,6,1,5]=>[1,5,2,7,3,6,4]=>{{1},{2,3,5},{4,7},{6}}=>{{1},{2,3,7},{4,5},{6}}
[4,2,7,3,6,5,1]=>[1,2,7,3,6,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[4,2,7,5,1,3,6]=>[1,3,6,2,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[4,2,7,5,1,6,3]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,2,7,5,3,1,6]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,2,7,5,3,6,1]=>[1,2,7,3,6,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[4,2,7,5,6,1,3]=>[1,3,2,7,4,5,6]=>{{1},{2,3},{4,5,6,7}}=>{{1},{2,3},{4,5,6,7}}
[4,2,7,5,6,3,1]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[4,2,7,6,1,3,5]=>[1,3,5,2,7,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,2,7,6,1,5,3]=>[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[4,2,7,6,3,1,5]=>[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[4,2,7,6,3,5,1]=>[1,2,7,3,5,4,6]=>{{1},{2},{3,4,6,7},{5}}=>{{1},{2},{3,4,6,7},{5}}
[4,2,7,6,5,1,3]=>[1,3,2,7,4,5,6]=>{{1},{2,3},{4,5,6,7}}=>{{1},{2,3},{4,5,6,7}}
[4,2,7,6,5,3,1]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[4,3,1,2,5,6,7]=>[1,2,5,6,7,3,4]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[4,3,1,2,5,7,6]=>[1,2,5,7,3,4,6]=>{{1},{2},{3,5},{4,6,7}}=>{{1},{2},{3,6,7},{4,5}}
[4,3,1,2,6,5,7]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[4,3,1,2,6,7,5]=>[1,2,6,7,3,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[4,3,1,2,7,5,6]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[4,3,1,2,7,6,5]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[4,3,1,5,2,6,7]=>[1,5,2,6,7,3,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,3,1,5,2,7,6]=>[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[4,3,1,5,6,2,7]=>[1,5,6,2,7,3,4]=>{{1},{2,4,5,7},{3,6}}=>{{1},{2,5,6},{3,4,7}}
[4,3,1,5,6,7,2]=>[1,5,6,7,2,3,4]=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[4,3,1,5,7,2,6]=>[1,5,7,2,6,3,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,3,1,5,7,6,2]=>[1,5,7,2,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,3,1,6,2,5,7]=>[1,6,2,5,7,3,4]=>{{1},{2,3,6},{4,5,7}}=>{{1},{2,3,5,6},{4,7}}
[4,3,1,6,2,7,5]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,3,1,6,5,2,7]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,3,1,6,5,7,2]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[4,3,1,6,7,2,5]=>[1,6,7,2,5,3,4]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[4,3,1,6,7,5,2]=>[1,6,7,2,3,4,5]=>{{1},{2,4,6},{3,5,7}}=>{{1},{2,7},{3,4,5,6}}
[4,3,1,7,2,5,6]=>[1,7,2,5,6,3,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,3,1,7,2,6,5]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[4,3,1,7,5,2,6]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[4,3,1,7,5,6,2]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,3,1,7,6,2,5]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,3,1,7,6,5,2]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,3,2,1,5,6,7]=>[1,5,6,7,2,3,4]=>{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
[4,3,2,1,5,7,6]=>[1,5,7,2,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,3,2,1,6,5,7]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[4,3,2,1,6,7,5]=>[1,6,7,2,3,4,5]=>{{1},{2,4,6},{3,5,7}}=>{{1},{2,7},{3,4,5,6}}
[4,3,2,1,7,5,6]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,3,2,1,7,6,5]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,3,2,5,1,6,7]=>[1,6,7,2,5,3,4]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[4,3,2,5,1,7,6]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,3,2,5,6,1,7]=>[1,7,2,5,6,3,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,3,2,5,6,7,1]=>[1,2,5,6,7,3,4]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[4,3,2,5,7,1,6]=>[1,6,2,5,7,3,4]=>{{1},{2,3,6},{4,5,7}}=>{{1},{2,3,5,6},{4,7}}
[4,3,2,5,7,6,1]=>[1,2,5,7,3,4,6]=>{{1},{2},{3,5},{4,6,7}}=>{{1},{2},{3,6,7},{4,5}}
[4,3,2,6,1,5,7]=>[1,5,7,2,6,3,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,3,2,6,1,7,5]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[4,3,2,6,5,1,7]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[4,3,2,6,5,7,1]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[4,3,2,6,7,1,5]=>[1,5,2,6,7,3,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,3,2,6,7,5,1]=>[1,2,6,7,3,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[4,3,2,7,1,5,6]=>[1,5,6,2,7,3,4]=>{{1},{2,4,5,7},{3,6}}=>{{1},{2,5,6},{3,4,7}}
[4,3,2,7,1,6,5]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,3,2,7,5,1,6]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,3,2,7,5,6,1]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[4,3,2,7,6,1,5]=>[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[4,3,2,7,6,5,1]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[4,3,5,1,2,6,7]=>[1,2,6,7,3,5,4]=>{{1},{2},{3,5,6},{4,7}}=>{{1},{2},{3,6},{4,5,7}}
[4,3,5,1,2,7,6]=>[1,2,7,3,5,4,6]=>{{1},{2},{3,4,6,7},{5}}=>{{1},{2},{3,4,6,7},{5}}
[4,3,5,1,6,2,7]=>[1,6,2,7,3,5,4]=>{{1},{2,3,5,6},{4,7}}=>{{1},{2,3,6},{4,5,7}}
[4,3,5,1,6,7,2]=>[1,6,7,2,3,5,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,3,5,1,7,2,6]=>[1,7,2,6,3,5,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,3,5,1,7,6,2]=>[1,7,2,3,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[4,3,5,2,1,6,7]=>[1,6,7,2,3,5,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,3,5,2,1,7,6]=>[1,7,2,3,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[4,3,5,2,6,1,7]=>[1,7,2,6,3,5,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,3,5,2,6,7,1]=>[1,2,6,7,3,5,4]=>{{1},{2},{3,5,6},{4,7}}=>{{1},{2},{3,6},{4,5,7}}
[4,3,5,2,7,1,6]=>[1,6,2,7,3,5,4]=>{{1},{2,3,5,6},{4,7}}=>{{1},{2,3,6},{4,5,7}}
[4,3,5,2,7,6,1]=>[1,2,7,3,5,4,6]=>{{1},{2},{3,4,6,7},{5}}=>{{1},{2},{3,4,6,7},{5}}
[4,3,5,6,1,2,7]=>[1,2,7,3,5,6,4]=>{{1},{2},{3,4,7},{5},{6}}=>{{1},{2},{3,4,7},{5},{6}}
[4,3,5,6,1,7,2]=>[1,7,2,3,5,6,4]=>{{1},{2,3,4,7},{5},{6}}=>{{1},{2,3,4,7},{5},{6}}
[4,3,5,6,2,1,7]=>[1,7,2,3,5,6,4]=>{{1},{2,3,4,7},{5},{6}}=>{{1},{2,3,4,7},{5},{6}}
[4,3,5,6,2,7,1]=>[1,2,7,3,5,6,4]=>{{1},{2},{3,4,7},{5},{6}}=>{{1},{2},{3,4,7},{5},{6}}
[4,3,5,6,7,1,2]=>[1,2,3,5,6,7,4]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[4,3,5,6,7,2,1]=>[1,2,3,5,6,7,4]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[4,3,5,7,1,2,6]=>[1,2,6,3,5,7,4]=>{{1},{2},{3,4,6,7},{5}}=>{{1},{2},{3,4,6,7},{5}}
[4,3,5,7,1,6,2]=>[1,6,2,3,5,7,4]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[4,3,5,7,2,1,6]=>[1,6,2,3,5,7,4]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[4,3,5,7,2,6,1]=>[1,2,6,3,5,7,4]=>{{1},{2},{3,4,6,7},{5}}=>{{1},{2},{3,4,6,7},{5}}
[4,3,5,7,6,1,2]=>[1,2,3,5,7,4,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[4,3,5,7,6,2,1]=>[1,2,3,5,7,4,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[4,3,6,1,2,5,7]=>[1,2,5,7,3,6,4]=>{{1},{2},{3,5},{4,7},{6}}=>{{1},{2},{3,7},{4,5},{6}}
[4,3,6,1,2,7,5]=>[1,2,7,3,6,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[4,3,6,1,5,2,7]=>[1,5,2,7,3,6,4]=>{{1},{2,3,5},{4,7},{6}}=>{{1},{2,3,7},{4,5},{6}}
[4,3,6,1,5,7,2]=>[1,5,7,2,3,6,4]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[4,3,6,1,7,2,5]=>[1,7,2,5,3,6,4]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[4,3,6,1,7,5,2]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,3,6,2,1,5,7]=>[1,5,7,2,3,6,4]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[4,3,6,2,1,7,5]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,3,6,2,5,1,7]=>[1,7,2,5,3,6,4]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[4,3,6,2,5,7,1]=>[1,2,5,7,3,6,4]=>{{1},{2},{3,5},{4,7},{6}}=>{{1},{2},{3,7},{4,5},{6}}
[4,3,6,2,7,1,5]=>[1,5,2,7,3,6,4]=>{{1},{2,3,5},{4,7},{6}}=>{{1},{2,3,7},{4,5},{6}}
[4,3,6,2,7,5,1]=>[1,2,7,3,6,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[4,3,6,5,1,2,7]=>[1,2,7,3,6,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[4,3,6,5,1,7,2]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,3,6,5,2,1,7]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,3,6,5,2,7,1]=>[1,2,7,3,6,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[4,3,6,5,7,1,2]=>[1,2,3,6,4,5,7]=>{{1},{2},{3},{4,5,6},{7}}=>{{1},{2},{3},{4,5,6},{7}}
[4,3,6,5,7,2,1]=>[1,2,3,6,4,5,7]=>{{1},{2},{3},{4,5,6},{7}}=>{{1},{2},{3},{4,5,6},{7}}
[4,3,6,7,1,2,5]=>[1,2,5,3,6,7,4]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[4,3,6,7,1,5,2]=>[1,5,2,3,6,7,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,3,6,7,2,1,5]=>[1,5,2,3,6,7,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,3,6,7,2,5,1]=>[1,2,5,3,6,7,4]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[4,3,6,7,5,1,2]=>[1,2,3,6,7,4,5]=>{{1},{2},{3},{4,6},{5,7}}=>{{1},{2},{3},{4,7},{5,6}}
[4,3,6,7,5,2,1]=>[1,2,3,6,7,4,5]=>{{1},{2},{3},{4,6},{5,7}}=>{{1},{2},{3},{4,7},{5,6}}
[4,3,7,1,2,5,6]=>[1,2,5,6,3,7,4]=>{{1},{2},{3,5},{4,6,7}}=>{{1},{2},{3,6,7},{4,5}}
[4,3,7,1,2,6,5]=>[1,2,6,3,7,4,5]=>{{1},{2},{3,4,6},{5,7}}=>{{1},{2},{3,4,7},{5,6}}
[4,3,7,1,5,2,6]=>[1,5,2,6,3,7,4]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[4,3,7,1,5,6,2]=>[1,5,6,2,3,7,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,3,7,1,6,2,5]=>[1,6,2,5,3,7,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,3,7,1,6,5,2]=>[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[4,3,7,2,1,5,6]=>[1,5,6,2,3,7,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,3,7,2,1,6,5]=>[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[4,3,7,2,5,1,6]=>[1,6,2,5,3,7,4]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,3,7,2,5,6,1]=>[1,2,5,6,3,7,4]=>{{1},{2},{3,5},{4,6,7}}=>{{1},{2},{3,6,7},{4,5}}
[4,3,7,2,6,1,5]=>[1,5,2,6,3,7,4]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[4,3,7,2,6,5,1]=>[1,2,6,3,7,4,5]=>{{1},{2},{3,4,6},{5,7}}=>{{1},{2},{3,4,7},{5,6}}
[4,3,7,5,1,2,6]=>[1,2,6,3,7,4,5]=>{{1},{2},{3,4,6},{5,7}}=>{{1},{2},{3,4,7},{5,6}}
[4,3,7,5,1,6,2]=>[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[4,3,7,5,2,1,6]=>[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[4,3,7,5,2,6,1]=>[1,2,6,3,7,4,5]=>{{1},{2},{3,4,6},{5,7}}=>{{1},{2},{3,4,7},{5,6}}
[4,3,7,5,6,1,2]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[4,3,7,5,6,2,1]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[4,3,7,6,1,2,5]=>[1,2,5,3,7,4,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[4,3,7,6,1,5,2]=>[1,5,2,3,7,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,3,7,6,2,1,5]=>[1,5,2,3,7,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,3,7,6,2,5,1]=>[1,2,5,3,7,4,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[4,3,7,6,5,1,2]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[4,3,7,6,5,2,1]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[4,5,1,2,3,6,7]=>[1,2,3,6,7,4,5]=>{{1},{2},{3},{4,6},{5,7}}=>{{1},{2},{3},{4,7},{5,6}}
[4,5,1,2,3,7,6]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[4,5,1,2,6,3,7]=>[1,2,6,3,7,4,5]=>{{1},{2},{3,4,6},{5,7}}=>{{1},{2},{3,4,7},{5,6}}
[4,5,1,2,6,7,3]=>[1,2,6,7,3,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[4,5,1,2,7,3,6]=>[1,2,7,3,6,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[4,5,1,2,7,6,3]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[4,5,1,3,2,6,7]=>[1,3,2,6,7,4,5]=>{{1},{2,3},{4,6},{5,7}}=>{{1},{2,3},{4,7},{5,6}}
[4,5,1,3,2,7,6]=>[1,3,2,7,4,5,6]=>{{1},{2,3},{4,5,6,7}}=>{{1},{2,3},{4,5,6,7}}
[4,5,1,3,6,2,7]=>[1,3,6,2,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[4,5,1,3,6,7,2]=>[1,3,6,7,2,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,5,1,3,7,2,6]=>[1,3,7,2,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,5,1,3,7,6,2]=>[1,3,7,2,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,5,1,6,2,3,7]=>[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[4,5,1,6,2,7,3]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,5,1,6,3,2,7]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,5,1,6,3,7,2]=>[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[4,5,1,6,7,2,3]=>[1,6,7,2,3,4,5]=>{{1},{2,4,6},{3,5,7}}=>{{1},{2,7},{3,4,5,6}}
[4,5,1,6,7,3,2]=>[1,6,7,2,3,4,5]=>{{1},{2,4,6},{3,5,7}}=>{{1},{2,7},{3,4,5,6}}
[4,5,1,7,2,3,6]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,5,1,7,2,6,3]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[4,5,1,7,3,2,6]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[4,5,1,7,3,6,2]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,5,1,7,6,2,3]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,5,1,7,6,3,2]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,5,2,1,3,6,7]=>[1,3,6,7,2,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,5,2,1,3,7,6]=>[1,3,7,2,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,5,2,1,6,3,7]=>[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[4,5,2,1,6,7,3]=>[1,6,7,2,3,4,5]=>{{1},{2,4,6},{3,5,7}}=>{{1},{2,7},{3,4,5,6}}
[4,5,2,1,7,3,6]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,5,2,1,7,6,3]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,5,2,3,1,6,7]=>[1,6,7,2,3,4,5]=>{{1},{2,4,6},{3,5,7}}=>{{1},{2,7},{3,4,5,6}}
[4,5,2,3,1,7,6]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,5,2,3,6,1,7]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,5,2,3,6,7,1]=>[1,2,3,6,7,4,5]=>{{1},{2},{3},{4,6},{5,7}}=>{{1},{2},{3},{4,7},{5,6}}
[4,5,2,3,7,1,6]=>[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[4,5,2,3,7,6,1]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[4,5,2,6,1,3,7]=>[1,3,7,2,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,5,2,6,1,7,3]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[4,5,2,6,3,1,7]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[4,5,2,6,3,7,1]=>[1,2,6,3,7,4,5]=>{{1},{2},{3,4,6},{5,7}}=>{{1},{2},{3,4,7},{5,6}}
[4,5,2,6,7,1,3]=>[1,3,2,6,7,4,5]=>{{1},{2,3},{4,6},{5,7}}=>{{1},{2,3},{4,7},{5,6}}
[4,5,2,6,7,3,1]=>[1,2,6,7,3,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[4,5,2,7,1,3,6]=>[1,3,6,2,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[4,5,2,7,1,6,3]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,5,2,7,3,1,6]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,5,2,7,3,6,1]=>[1,2,7,3,6,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[4,5,2,7,6,1,3]=>[1,3,2,7,4,5,6]=>{{1},{2,3},{4,5,6,7}}=>{{1},{2,3},{4,5,6,7}}
[4,5,2,7,6,3,1]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[4,5,3,1,2,6,7]=>[1,2,6,7,3,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[4,5,3,1,2,7,6]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[4,5,3,1,6,2,7]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,5,3,1,6,7,2]=>[1,6,7,2,3,4,5]=>{{1},{2,4,6},{3,5,7}}=>{{1},{2,7},{3,4,5,6}}
[4,5,3,1,7,2,6]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[4,5,3,1,7,6,2]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,5,3,2,1,6,7]=>[1,6,7,2,3,4,5]=>{{1},{2,4,6},{3,5,7}}=>{{1},{2,7},{3,4,5,6}}
[4,5,3,2,1,7,6]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,5,3,2,6,1,7]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[4,5,3,2,6,7,1]=>[1,2,6,7,3,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[4,5,3,2,7,1,6]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,5,3,2,7,6,1]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[4,5,3,6,1,2,7]=>[1,2,7,3,6,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[4,5,3,6,1,7,2]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,5,3,6,2,1,7]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,5,3,6,2,7,1]=>[1,2,7,3,6,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[4,5,3,6,7,1,2]=>[1,2,3,6,7,4,5]=>{{1},{2},{3},{4,6},{5,7}}=>{{1},{2},{3},{4,7},{5,6}}
[4,5,3,6,7,2,1]=>[1,2,3,6,7,4,5]=>{{1},{2},{3},{4,6},{5,7}}=>{{1},{2},{3},{4,7},{5,6}}
[4,5,3,7,1,2,6]=>[1,2,6,3,7,4,5]=>{{1},{2},{3,4,6},{5,7}}=>{{1},{2},{3,4,7},{5,6}}
[4,5,3,7,1,6,2]=>[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[4,5,3,7,2,1,6]=>[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[4,5,3,7,2,6,1]=>[1,2,6,3,7,4,5]=>{{1},{2},{3,4,6},{5,7}}=>{{1},{2},{3,4,7},{5,6}}
[4,5,3,7,6,1,2]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[4,5,3,7,6,2,1]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[4,5,6,1,2,3,7]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[4,5,6,1,2,7,3]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[4,5,6,1,3,2,7]=>[1,3,2,7,4,5,6]=>{{1},{2,3},{4,5,6,7}}=>{{1},{2,3},{4,5,6,7}}
[4,5,6,1,3,7,2]=>[1,3,7,2,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,5,6,1,7,2,3]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,5,6,1,7,3,2]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,5,6,2,1,3,7]=>[1,3,7,2,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,5,6,2,1,7,3]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,5,6,2,3,1,7]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,5,6,2,3,7,1]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[4,5,6,2,7,1,3]=>[1,3,2,7,4,5,6]=>{{1},{2,3},{4,5,6,7}}=>{{1},{2,3},{4,5,6,7}}
[4,5,6,2,7,3,1]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[4,5,6,3,1,2,7]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[4,5,6,3,1,7,2]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,5,6,3,2,1,7]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,5,6,3,2,7,1]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[4,5,6,3,7,1,2]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[4,5,6,3,7,2,1]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[4,5,6,7,1,2,3]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[4,5,6,7,1,3,2]=>[1,3,2,4,5,6,7]=>{{1},{2,3},{4},{5},{6},{7}}=>{{1},{2,3},{4},{5},{6},{7}}
[4,5,6,7,2,1,3]=>[1,3,2,4,5,6,7]=>{{1},{2,3},{4},{5},{6},{7}}=>{{1},{2,3},{4},{5},{6},{7}}
[4,5,6,7,2,3,1]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[4,5,6,7,3,1,2]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[4,5,6,7,3,2,1]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[4,5,7,1,2,3,6]=>[1,2,3,6,4,5,7]=>{{1},{2},{3},{4,5,6},{7}}=>{{1},{2},{3},{4,5,6},{7}}
[4,5,7,1,2,6,3]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[4,5,7,1,3,2,6]=>[1,3,2,6,4,5,7]=>{{1},{2,3},{4,5,6},{7}}=>{{1},{2,3},{4,5,6},{7}}
[4,5,7,1,3,6,2]=>[1,3,6,2,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[4,5,7,1,6,2,3]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[4,5,7,1,6,3,2]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[4,5,7,2,1,3,6]=>[1,3,6,2,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[4,5,7,2,1,6,3]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[4,5,7,2,3,1,6]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[4,5,7,2,3,6,1]=>[1,2,3,6,4,5,7]=>{{1},{2},{3},{4,5,6},{7}}=>{{1},{2},{3},{4,5,6},{7}}
[4,5,7,2,6,1,3]=>[1,3,2,6,4,5,7]=>{{1},{2,3},{4,5,6},{7}}=>{{1},{2,3},{4,5,6},{7}}
[4,5,7,2,6,3,1]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[4,5,7,3,1,2,6]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[4,5,7,3,1,6,2]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[4,5,7,3,2,1,6]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[4,5,7,3,2,6,1]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[4,5,7,3,6,1,2]=>[1,2,3,6,4,5,7]=>{{1},{2},{3},{4,5,6},{7}}=>{{1},{2},{3},{4,5,6},{7}}
[4,5,7,3,6,2,1]=>[1,2,3,6,4,5,7]=>{{1},{2},{3},{4,5,6},{7}}=>{{1},{2},{3},{4,5,6},{7}}
[4,5,7,6,1,2,3]=>[1,2,3,4,5,7,6]=>{{1},{2},{3},{4},{5},{6,7}}=>{{1},{2},{3},{4},{5},{6,7}}
[4,5,7,6,1,3,2]=>[1,3,2,4,5,7,6]=>{{1},{2,3},{4},{5},{6,7}}=>{{1},{2,3},{4},{5},{6,7}}
[4,5,7,6,2,1,3]=>[1,3,2,4,5,7,6]=>{{1},{2,3},{4},{5},{6,7}}=>{{1},{2,3},{4},{5},{6,7}}
[4,5,7,6,2,3,1]=>[1,2,3,4,5,7,6]=>{{1},{2},{3},{4},{5},{6,7}}=>{{1},{2},{3},{4},{5},{6,7}}
[4,5,7,6,3,1,2]=>[1,2,3,4,5,7,6]=>{{1},{2},{3},{4},{5},{6,7}}=>{{1},{2},{3},{4},{5},{6,7}}
[4,5,7,6,3,2,1]=>[1,2,3,4,5,7,6]=>{{1},{2},{3},{4},{5},{6,7}}=>{{1},{2},{3},{4},{5},{6,7}}
[4,6,1,2,3,5,7]=>[1,2,3,5,7,4,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[4,6,1,2,3,7,5]=>[1,2,3,7,4,6,5]=>{{1},{2},{3},{4,5,7},{6}}=>{{1},{2},{3},{4,5,7},{6}}
[4,6,1,2,5,3,7]=>[1,2,5,3,7,4,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[4,6,1,2,5,7,3]=>[1,2,5,7,3,4,6]=>{{1},{2},{3,5},{4,6,7}}=>{{1},{2},{3,6,7},{4,5}}
[4,6,1,2,7,3,5]=>[1,2,7,3,5,4,6]=>{{1},{2},{3,4,6,7},{5}}=>{{1},{2},{3,4,6,7},{5}}
[4,6,1,2,7,5,3]=>[1,2,7,3,4,6,5]=>{{1},{2},{3,4,5,7},{6}}=>{{1},{2},{3,4,5,7},{6}}
[4,6,1,3,2,5,7]=>[1,3,2,5,7,4,6]=>{{1},{2,3},{4,5,6,7}}=>{{1},{2,3},{4,5,6,7}}
[4,6,1,3,2,7,5]=>[1,3,2,7,4,6,5]=>{{1},{2,3},{4,5,7},{6}}=>{{1},{2,3},{4,5,7},{6}}
[4,6,1,3,5,2,7]=>[1,3,5,2,7,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,6,1,3,5,7,2]=>[1,3,5,7,2,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[4,6,1,3,7,2,5]=>[1,3,7,2,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[4,6,1,3,7,5,2]=>[1,3,7,2,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[4,6,1,5,2,3,7]=>[1,5,2,3,7,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,6,1,5,2,7,3]=>[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[4,6,1,5,3,2,7]=>[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[4,6,1,5,3,7,2]=>[1,5,2,3,7,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,6,1,5,7,2,3]=>[1,5,7,2,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,6,1,5,7,3,2]=>[1,5,7,2,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,6,1,7,2,3,5]=>[1,7,2,3,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[4,6,1,7,2,5,3]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,6,1,7,3,2,5]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,6,1,7,3,5,2]=>[1,7,2,3,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[4,6,1,7,5,2,3]=>[1,7,2,3,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[4,6,1,7,5,3,2]=>[1,7,2,3,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[4,6,2,1,3,5,7]=>[1,3,5,7,2,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[4,6,2,1,3,7,5]=>[1,3,7,2,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[4,6,2,1,5,3,7]=>[1,5,2,3,7,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,6,2,1,5,7,3]=>[1,5,7,2,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,6,2,1,7,3,5]=>[1,7,2,3,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[4,6,2,1,7,5,3]=>[1,7,2,3,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[4,6,2,3,1,5,7]=>[1,5,7,2,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,6,2,3,1,7,5]=>[1,7,2,3,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[4,6,2,3,5,1,7]=>[1,7,2,3,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[4,6,2,3,5,7,1]=>[1,2,3,5,7,4,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[4,6,2,3,7,1,5]=>[1,5,2,3,7,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,6,2,3,7,5,1]=>[1,2,3,7,4,6,5]=>{{1},{2},{3},{4,5,7},{6}}=>{{1},{2},{3},{4,5,7},{6}}
[4,6,2,5,1,3,7]=>[1,3,7,2,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[4,6,2,5,1,7,3]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,6,2,5,3,1,7]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,6,2,5,3,7,1]=>[1,2,5,3,7,4,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[4,6,2,5,7,1,3]=>[1,3,2,5,7,4,6]=>{{1},{2,3},{4,5,6,7}}=>{{1},{2,3},{4,5,6,7}}
[4,6,2,5,7,3,1]=>[1,2,5,7,3,4,6]=>{{1},{2},{3,5},{4,6,7}}=>{{1},{2},{3,6,7},{4,5}}
[4,6,2,7,1,3,5]=>[1,3,5,2,7,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,6,2,7,1,5,3]=>[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[4,6,2,7,3,1,5]=>[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[4,6,2,7,3,5,1]=>[1,2,7,3,5,4,6]=>{{1},{2},{3,4,6,7},{5}}=>{{1},{2},{3,4,6,7},{5}}
[4,6,2,7,5,1,3]=>[1,3,2,7,4,6,5]=>{{1},{2,3},{4,5,7},{6}}=>{{1},{2,3},{4,5,7},{6}}
[4,6,2,7,5,3,1]=>[1,2,7,3,4,6,5]=>{{1},{2},{3,4,5,7},{6}}=>{{1},{2},{3,4,5,7},{6}}
[4,6,3,1,2,5,7]=>[1,2,5,7,3,4,6]=>{{1},{2},{3,5},{4,6,7}}=>{{1},{2},{3,6,7},{4,5}}
[4,6,3,1,2,7,5]=>[1,2,7,3,4,6,5]=>{{1},{2},{3,4,5,7},{6}}=>{{1},{2},{3,4,5,7},{6}}
[4,6,3,1,5,2,7]=>[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[4,6,3,1,5,7,2]=>[1,5,7,2,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,6,3,1,7,2,5]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,6,3,1,7,5,2]=>[1,7,2,3,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[4,6,3,2,1,5,7]=>[1,5,7,2,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,6,3,2,1,7,5]=>[1,7,2,3,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[4,6,3,2,5,1,7]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,6,3,2,5,7,1]=>[1,2,5,7,3,4,6]=>{{1},{2},{3,5},{4,6,7}}=>{{1},{2},{3,6,7},{4,5}}
[4,6,3,2,7,1,5]=>[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[4,6,3,2,7,5,1]=>[1,2,7,3,4,6,5]=>{{1},{2},{3,4,5,7},{6}}=>{{1},{2},{3,4,5,7},{6}}
[4,6,3,5,1,2,7]=>[1,2,7,3,5,4,6]=>{{1},{2},{3,4,6,7},{5}}=>{{1},{2},{3,4,6,7},{5}}
[4,6,3,5,1,7,2]=>[1,7,2,3,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[4,6,3,5,2,1,7]=>[1,7,2,3,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[4,6,3,5,2,7,1]=>[1,2,7,3,5,4,6]=>{{1},{2},{3,4,6,7},{5}}=>{{1},{2},{3,4,6,7},{5}}
[4,6,3,5,7,1,2]=>[1,2,3,5,7,4,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[4,6,3,5,7,2,1]=>[1,2,3,5,7,4,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[4,6,3,7,1,2,5]=>[1,2,5,3,7,4,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[4,6,3,7,1,5,2]=>[1,5,2,3,7,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,6,3,7,2,1,5]=>[1,5,2,3,7,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,6,3,7,2,5,1]=>[1,2,5,3,7,4,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[4,6,3,7,5,1,2]=>[1,2,3,7,4,6,5]=>{{1},{2},{3},{4,5,7},{6}}=>{{1},{2},{3},{4,5,7},{6}}
[4,6,3,7,5,2,1]=>[1,2,3,7,4,6,5]=>{{1},{2},{3},{4,5,7},{6}}=>{{1},{2},{3},{4,5,7},{6}}
[4,6,5,1,2,3,7]=>[1,2,3,7,4,6,5]=>{{1},{2},{3},{4,5,7},{6}}=>{{1},{2},{3},{4,5,7},{6}}
[4,6,5,1,2,7,3]=>[1,2,7,3,4,6,5]=>{{1},{2},{3,4,5,7},{6}}=>{{1},{2},{3,4,5,7},{6}}
[4,6,5,1,3,2,7]=>[1,3,2,7,4,6,5]=>{{1},{2,3},{4,5,7},{6}}=>{{1},{2,3},{4,5,7},{6}}
[4,6,5,1,3,7,2]=>[1,3,7,2,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[4,6,5,1,7,2,3]=>[1,7,2,3,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[4,6,5,1,7,3,2]=>[1,7,2,3,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[4,6,5,2,1,3,7]=>[1,3,7,2,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[4,6,5,2,1,7,3]=>[1,7,2,3,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[4,6,5,2,3,1,7]=>[1,7,2,3,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[4,6,5,2,3,7,1]=>[1,2,3,7,4,6,5]=>{{1},{2},{3},{4,5,7},{6}}=>{{1},{2},{3},{4,5,7},{6}}
[4,6,5,2,7,1,3]=>[1,3,2,7,4,6,5]=>{{1},{2,3},{4,5,7},{6}}=>{{1},{2,3},{4,5,7},{6}}
[4,6,5,2,7,3,1]=>[1,2,7,3,4,6,5]=>{{1},{2},{3,4,5,7},{6}}=>{{1},{2},{3,4,5,7},{6}}
[4,6,5,3,1,2,7]=>[1,2,7,3,4,6,5]=>{{1},{2},{3,4,5,7},{6}}=>{{1},{2},{3,4,5,7},{6}}
[4,6,5,3,1,7,2]=>[1,7,2,3,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[4,6,5,3,2,1,7]=>[1,7,2,3,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[4,6,5,3,2,7,1]=>[1,2,7,3,4,6,5]=>{{1},{2},{3,4,5,7},{6}}=>{{1},{2},{3,4,5,7},{6}}
[4,6,5,3,7,1,2]=>[1,2,3,7,4,6,5]=>{{1},{2},{3},{4,5,7},{6}}=>{{1},{2},{3},{4,5,7},{6}}
[4,6,5,3,7,2,1]=>[1,2,3,7,4,6,5]=>{{1},{2},{3},{4,5,7},{6}}=>{{1},{2},{3},{4,5,7},{6}}
[4,6,5,7,1,2,3]=>[1,2,3,4,6,5,7]=>{{1},{2},{3},{4},{5,6},{7}}=>{{1},{2},{3},{4},{5,6},{7}}
[4,6,5,7,1,3,2]=>[1,3,2,4,6,5,7]=>{{1},{2,3},{4},{5,6},{7}}=>{{1},{2,3},{4},{5,6},{7}}
[4,6,5,7,2,1,3]=>[1,3,2,4,6,5,7]=>{{1},{2,3},{4},{5,6},{7}}=>{{1},{2,3},{4},{5,6},{7}}
[4,6,5,7,2,3,1]=>[1,2,3,4,6,5,7]=>{{1},{2},{3},{4},{5,6},{7}}=>{{1},{2},{3},{4},{5,6},{7}}
[4,6,5,7,3,1,2]=>[1,2,3,4,6,5,7]=>{{1},{2},{3},{4},{5,6},{7}}=>{{1},{2},{3},{4},{5,6},{7}}
[4,6,5,7,3,2,1]=>[1,2,3,4,6,5,7]=>{{1},{2},{3},{4},{5,6},{7}}=>{{1},{2},{3},{4},{5,6},{7}}
[4,6,7,1,2,3,5]=>[1,2,3,5,4,6,7]=>{{1},{2},{3},{4,5},{6},{7}}=>{{1},{2},{3},{4,5},{6},{7}}
[4,6,7,1,2,5,3]=>[1,2,5,3,4,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6},{7}}
[4,6,7,1,3,2,5]=>[1,3,2,5,4,6,7]=>{{1},{2,3},{4,5},{6},{7}}=>{{1},{2,3},{4,5},{6},{7}}
[4,6,7,1,3,5,2]=>[1,3,5,2,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[4,6,7,1,5,2,3]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[4,6,7,1,5,3,2]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[4,6,7,2,1,3,5]=>[1,3,5,2,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[4,6,7,2,1,5,3]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[4,6,7,2,3,1,5]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[4,6,7,2,3,5,1]=>[1,2,3,5,4,6,7]=>{{1},{2},{3},{4,5},{6},{7}}=>{{1},{2},{3},{4,5},{6},{7}}
[4,6,7,2,5,1,3]=>[1,3,2,5,4,6,7]=>{{1},{2,3},{4,5},{6},{7}}=>{{1},{2,3},{4,5},{6},{7}}
[4,6,7,2,5,3,1]=>[1,2,5,3,4,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6},{7}}
[4,6,7,3,1,2,5]=>[1,2,5,3,4,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6},{7}}
[4,6,7,3,1,5,2]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[4,6,7,3,2,1,5]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[4,6,7,3,2,5,1]=>[1,2,5,3,4,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6},{7}}
[4,6,7,3,5,1,2]=>[1,2,3,5,4,6,7]=>{{1},{2},{3},{4,5},{6},{7}}=>{{1},{2},{3},{4,5},{6},{7}}
[4,6,7,3,5,2,1]=>[1,2,3,5,4,6,7]=>{{1},{2},{3},{4,5},{6},{7}}=>{{1},{2},{3},{4,5},{6},{7}}
[4,6,7,5,1,2,3]=>[1,2,3,4,6,7,5]=>{{1},{2},{3},{4},{5,6,7}}=>{{1},{2},{3},{4},{5,6,7}}
[4,6,7,5,1,3,2]=>[1,3,2,4,6,7,5]=>{{1},{2,3},{4},{5,6,7}}=>{{1},{2,3},{4},{5,6,7}}
[4,6,7,5,2,1,3]=>[1,3,2,4,6,7,5]=>{{1},{2,3},{4},{5,6,7}}=>{{1},{2,3},{4},{5,6,7}}
[4,6,7,5,2,3,1]=>[1,2,3,4,6,7,5]=>{{1},{2},{3},{4},{5,6,7}}=>{{1},{2},{3},{4},{5,6,7}}
[4,6,7,5,3,1,2]=>[1,2,3,4,6,7,5]=>{{1},{2},{3},{4},{5,6,7}}=>{{1},{2},{3},{4},{5,6,7}}
[4,6,7,5,3,2,1]=>[1,2,3,4,6,7,5]=>{{1},{2},{3},{4},{5,6,7}}=>{{1},{2},{3},{4},{5,6,7}}
[4,7,1,2,3,5,6]=>[1,2,3,5,6,4,7]=>{{1},{2},{3},{4,5,6},{7}}=>{{1},{2},{3},{4,5,6},{7}}
[4,7,1,2,3,6,5]=>[1,2,3,6,4,7,5]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[4,7,1,2,5,3,6]=>[1,2,5,3,6,4,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[4,7,1,2,5,6,3]=>[1,2,5,6,3,4,7]=>{{1},{2},{3,5},{4,6},{7}}=>{{1},{2},{3,6},{4,5},{7}}
[4,7,1,2,6,3,5]=>[1,2,6,3,5,4,7]=>{{1},{2},{3,4,6},{5},{7}}=>{{1},{2},{3,4,6},{5},{7}}
[4,7,1,2,6,5,3]=>[1,2,6,3,4,7,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[4,7,1,3,2,5,6]=>[1,3,2,5,6,4,7]=>{{1},{2,3},{4,5,6},{7}}=>{{1},{2,3},{4,5,6},{7}}
[4,7,1,3,2,6,5]=>[1,3,2,6,4,7,5]=>{{1},{2,3},{4,5,6,7}}=>{{1},{2,3},{4,5,6,7}}
[4,7,1,3,5,2,6]=>[1,3,5,2,6,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[4,7,1,3,5,6,2]=>[1,3,5,6,2,4,7]=>{{1},{2,3,5},{4,6},{7}}=>{{1},{2,3,6},{4,5},{7}}
[4,7,1,3,6,2,5]=>[1,3,6,2,5,4,7]=>{{1},{2,3,4,6},{5},{7}}=>{{1},{2,3,4,6},{5},{7}}
[4,7,1,3,6,5,2]=>[1,3,6,2,4,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,7,1,5,2,3,6]=>[1,5,2,3,6,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[4,7,1,5,2,6,3]=>[1,5,2,6,3,4,7]=>{{1},{2,3,5},{4,6},{7}}=>{{1},{2,3,6},{4,5},{7}}
[4,7,1,5,3,2,6]=>[1,5,2,6,3,4,7]=>{{1},{2,3,5},{4,6},{7}}=>{{1},{2,3,6},{4,5},{7}}
[4,7,1,5,3,6,2]=>[1,5,2,3,6,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[4,7,1,5,6,2,3]=>[1,5,6,2,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[4,7,1,5,6,3,2]=>[1,5,6,2,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[4,7,1,6,2,3,5]=>[1,6,2,3,5,4,7]=>{{1},{2,3,4,6},{5},{7}}=>{{1},{2,3,4,6},{5},{7}}
[4,7,1,6,2,5,3]=>[1,6,2,5,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[4,7,1,6,3,2,5]=>[1,6,2,5,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[4,7,1,6,3,5,2]=>[1,6,2,3,5,4,7]=>{{1},{2,3,4,6},{5},{7}}=>{{1},{2,3,4,6},{5},{7}}
[4,7,1,6,5,2,3]=>[1,6,2,3,4,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,7,1,6,5,3,2]=>[1,6,2,3,4,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,7,2,1,3,5,6]=>[1,3,5,6,2,4,7]=>{{1},{2,3,5},{4,6},{7}}=>{{1},{2,3,6},{4,5},{7}}
[4,7,2,1,3,6,5]=>[1,3,6,2,4,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,7,2,1,5,3,6]=>[1,5,2,3,6,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[4,7,2,1,5,6,3]=>[1,5,6,2,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[4,7,2,1,6,3,5]=>[1,6,2,3,5,4,7]=>{{1},{2,3,4,6},{5},{7}}=>{{1},{2,3,4,6},{5},{7}}
[4,7,2,1,6,5,3]=>[1,6,2,3,4,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,7,2,3,1,5,6]=>[1,5,6,2,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[4,7,2,3,1,6,5]=>[1,6,2,3,4,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,7,2,3,5,1,6]=>[1,6,2,3,5,4,7]=>{{1},{2,3,4,6},{5},{7}}=>{{1},{2,3,4,6},{5},{7}}
[4,7,2,3,5,6,1]=>[1,2,3,5,6,4,7]=>{{1},{2},{3},{4,5,6},{7}}=>{{1},{2},{3},{4,5,6},{7}}
[4,7,2,3,6,1,5]=>[1,5,2,3,6,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[4,7,2,3,6,5,1]=>[1,2,3,6,4,7,5]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[4,7,2,5,1,3,6]=>[1,3,6,2,5,4,7]=>{{1},{2,3,4,6},{5},{7}}=>{{1},{2,3,4,6},{5},{7}}
[4,7,2,5,1,6,3]=>[1,6,2,5,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[4,7,2,5,3,1,6]=>[1,6,2,5,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[4,7,2,5,3,6,1]=>[1,2,5,3,6,4,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[4,7,2,5,6,1,3]=>[1,3,2,5,6,4,7]=>{{1},{2,3},{4,5,6},{7}}=>{{1},{2,3},{4,5,6},{7}}
[4,7,2,5,6,3,1]=>[1,2,5,6,3,4,7]=>{{1},{2},{3,5},{4,6},{7}}=>{{1},{2},{3,6},{4,5},{7}}
[4,7,2,6,1,3,5]=>[1,3,5,2,6,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[4,7,2,6,1,5,3]=>[1,5,2,6,3,4,7]=>{{1},{2,3,5},{4,6},{7}}=>{{1},{2,3,6},{4,5},{7}}
[4,7,2,6,3,1,5]=>[1,5,2,6,3,4,7]=>{{1},{2,3,5},{4,6},{7}}=>{{1},{2,3,6},{4,5},{7}}
[4,7,2,6,3,5,1]=>[1,2,6,3,5,4,7]=>{{1},{2},{3,4,6},{5},{7}}=>{{1},{2},{3,4,6},{5},{7}}
[4,7,2,6,5,1,3]=>[1,3,2,6,4,7,5]=>{{1},{2,3},{4,5,6,7}}=>{{1},{2,3},{4,5,6,7}}
[4,7,2,6,5,3,1]=>[1,2,6,3,4,7,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[4,7,3,1,2,5,6]=>[1,2,5,6,3,4,7]=>{{1},{2},{3,5},{4,6},{7}}=>{{1},{2},{3,6},{4,5},{7}}
[4,7,3,1,2,6,5]=>[1,2,6,3,4,7,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[4,7,3,1,5,2,6]=>[1,5,2,6,3,4,7]=>{{1},{2,3,5},{4,6},{7}}=>{{1},{2,3,6},{4,5},{7}}
[4,7,3,1,5,6,2]=>[1,5,6,2,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[4,7,3,1,6,2,5]=>[1,6,2,5,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[4,7,3,1,6,5,2]=>[1,6,2,3,4,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,7,3,2,1,5,6]=>[1,5,6,2,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[4,7,3,2,1,6,5]=>[1,6,2,3,4,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,7,3,2,5,1,6]=>[1,6,2,5,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[4,7,3,2,5,6,1]=>[1,2,5,6,3,4,7]=>{{1},{2},{3,5},{4,6},{7}}=>{{1},{2},{3,6},{4,5},{7}}
[4,7,3,2,6,1,5]=>[1,5,2,6,3,4,7]=>{{1},{2,3,5},{4,6},{7}}=>{{1},{2,3,6},{4,5},{7}}
[4,7,3,2,6,5,1]=>[1,2,6,3,4,7,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[4,7,3,5,1,2,6]=>[1,2,6,3,5,4,7]=>{{1},{2},{3,4,6},{5},{7}}=>{{1},{2},{3,4,6},{5},{7}}
[4,7,3,5,1,6,2]=>[1,6,2,3,5,4,7]=>{{1},{2,3,4,6},{5},{7}}=>{{1},{2,3,4,6},{5},{7}}
[4,7,3,5,2,1,6]=>[1,6,2,3,5,4,7]=>{{1},{2,3,4,6},{5},{7}}=>{{1},{2,3,4,6},{5},{7}}
[4,7,3,5,2,6,1]=>[1,2,6,3,5,4,7]=>{{1},{2},{3,4,6},{5},{7}}=>{{1},{2},{3,4,6},{5},{7}}
[4,7,3,5,6,1,2]=>[1,2,3,5,6,4,7]=>{{1},{2},{3},{4,5,6},{7}}=>{{1},{2},{3},{4,5,6},{7}}
[4,7,3,5,6,2,1]=>[1,2,3,5,6,4,7]=>{{1},{2},{3},{4,5,6},{7}}=>{{1},{2},{3},{4,5,6},{7}}
[4,7,3,6,1,2,5]=>[1,2,5,3,6,4,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[4,7,3,6,1,5,2]=>[1,5,2,3,6,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[4,7,3,6,2,1,5]=>[1,5,2,3,6,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[4,7,3,6,2,5,1]=>[1,2,5,3,6,4,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[4,7,3,6,5,1,2]=>[1,2,3,6,4,7,5]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[4,7,3,6,5,2,1]=>[1,2,3,6,4,7,5]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[4,7,5,1,2,3,6]=>[1,2,3,6,4,7,5]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[4,7,5,1,2,6,3]=>[1,2,6,3,4,7,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[4,7,5,1,3,2,6]=>[1,3,2,6,4,7,5]=>{{1},{2,3},{4,5,6,7}}=>{{1},{2,3},{4,5,6,7}}
[4,7,5,1,3,6,2]=>[1,3,6,2,4,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,7,5,1,6,2,3]=>[1,6,2,3,4,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,7,5,1,6,3,2]=>[1,6,2,3,4,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,7,5,2,1,3,6]=>[1,3,6,2,4,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,7,5,2,1,6,3]=>[1,6,2,3,4,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,7,5,2,3,1,6]=>[1,6,2,3,4,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,7,5,2,3,6,1]=>[1,2,3,6,4,7,5]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[4,7,5,2,6,1,3]=>[1,3,2,6,4,7,5]=>{{1},{2,3},{4,5,6,7}}=>{{1},{2,3},{4,5,6,7}}
[4,7,5,2,6,3,1]=>[1,2,6,3,4,7,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[4,7,5,3,1,2,6]=>[1,2,6,3,4,7,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[4,7,5,3,1,6,2]=>[1,6,2,3,4,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,7,5,3,2,1,6]=>[1,6,2,3,4,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[4,7,5,3,2,6,1]=>[1,2,6,3,4,7,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[4,7,5,3,6,1,2]=>[1,2,3,6,4,7,5]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[4,7,5,3,6,2,1]=>[1,2,3,6,4,7,5]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[4,7,5,6,1,2,3]=>[1,2,3,4,7,5,6]=>{{1},{2},{3},{4},{5,6,7}}=>{{1},{2},{3},{4},{5,6,7}}
[4,7,5,6,1,3,2]=>[1,3,2,4,7,5,6]=>{{1},{2,3},{4},{5,6,7}}=>{{1},{2,3},{4},{5,6,7}}
[4,7,5,6,2,1,3]=>[1,3,2,4,7,5,6]=>{{1},{2,3},{4},{5,6,7}}=>{{1},{2,3},{4},{5,6,7}}
[4,7,5,6,2,3,1]=>[1,2,3,4,7,5,6]=>{{1},{2},{3},{4},{5,6,7}}=>{{1},{2},{3},{4},{5,6,7}}
[4,7,5,6,3,1,2]=>[1,2,3,4,7,5,6]=>{{1},{2},{3},{4},{5,6,7}}=>{{1},{2},{3},{4},{5,6,7}}
[4,7,5,6,3,2,1]=>[1,2,3,4,7,5,6]=>{{1},{2},{3},{4},{5,6,7}}=>{{1},{2},{3},{4},{5,6,7}}
[4,7,6,1,2,3,5]=>[1,2,3,5,4,7,6]=>{{1},{2},{3},{4,5},{6,7}}=>{{1},{2},{3},{4,5},{6,7}}
[4,7,6,1,2,5,3]=>[1,2,5,3,4,7,6]=>{{1},{2},{3,4,5},{6,7}}=>{{1},{2},{3,4,5},{6,7}}
[4,7,6,1,3,2,5]=>[1,3,2,5,4,7,6]=>{{1},{2,3},{4,5},{6,7}}=>{{1},{2,3},{4,5},{6,7}}
[4,7,6,1,3,5,2]=>[1,3,5,2,4,7,6]=>{{1},{2,3,4,5},{6,7}}=>{{1},{2,3,4,5},{6,7}}
[4,7,6,1,5,2,3]=>[1,5,2,3,4,7,6]=>{{1},{2,3,4,5},{6,7}}=>{{1},{2,3,4,5},{6,7}}
[4,7,6,1,5,3,2]=>[1,5,2,3,4,7,6]=>{{1},{2,3,4,5},{6,7}}=>{{1},{2,3,4,5},{6,7}}
[4,7,6,2,1,3,5]=>[1,3,5,2,4,7,6]=>{{1},{2,3,4,5},{6,7}}=>{{1},{2,3,4,5},{6,7}}
[4,7,6,2,1,5,3]=>[1,5,2,3,4,7,6]=>{{1},{2,3,4,5},{6,7}}=>{{1},{2,3,4,5},{6,7}}
[4,7,6,2,3,1,5]=>[1,5,2,3,4,7,6]=>{{1},{2,3,4,5},{6,7}}=>{{1},{2,3,4,5},{6,7}}
[4,7,6,2,3,5,1]=>[1,2,3,5,4,7,6]=>{{1},{2},{3},{4,5},{6,7}}=>{{1},{2},{3},{4,5},{6,7}}
[4,7,6,2,5,1,3]=>[1,3,2,5,4,7,6]=>{{1},{2,3},{4,5},{6,7}}=>{{1},{2,3},{4,5},{6,7}}
[4,7,6,2,5,3,1]=>[1,2,5,3,4,7,6]=>{{1},{2},{3,4,5},{6,7}}=>{{1},{2},{3,4,5},{6,7}}
[4,7,6,3,1,2,5]=>[1,2,5,3,4,7,6]=>{{1},{2},{3,4,5},{6,7}}=>{{1},{2},{3,4,5},{6,7}}
[4,7,6,3,1,5,2]=>[1,5,2,3,4,7,6]=>{{1},{2,3,4,5},{6,7}}=>{{1},{2,3,4,5},{6,7}}
[4,7,6,3,2,1,5]=>[1,5,2,3,4,7,6]=>{{1},{2,3,4,5},{6,7}}=>{{1},{2,3,4,5},{6,7}}
[4,7,6,3,2,5,1]=>[1,2,5,3,4,7,6]=>{{1},{2},{3,4,5},{6,7}}=>{{1},{2},{3,4,5},{6,7}}
[4,7,6,3,5,1,2]=>[1,2,3,5,4,7,6]=>{{1},{2},{3},{4,5},{6,7}}=>{{1},{2},{3},{4,5},{6,7}}
[4,7,6,3,5,2,1]=>[1,2,3,5,4,7,6]=>{{1},{2},{3},{4,5},{6,7}}=>{{1},{2},{3},{4,5},{6,7}}
[4,7,6,5,1,2,3]=>[1,2,3,4,7,5,6]=>{{1},{2},{3},{4},{5,6,7}}=>{{1},{2},{3},{4},{5,6,7}}
[4,7,6,5,1,3,2]=>[1,3,2,4,7,5,6]=>{{1},{2,3},{4},{5,6,7}}=>{{1},{2,3},{4},{5,6,7}}
[4,7,6,5,2,1,3]=>[1,3,2,4,7,5,6]=>{{1},{2,3},{4},{5,6,7}}=>{{1},{2,3},{4},{5,6,7}}
[4,7,6,5,2,3,1]=>[1,2,3,4,7,5,6]=>{{1},{2},{3},{4},{5,6,7}}=>{{1},{2},{3},{4},{5,6,7}}
[4,7,6,5,3,1,2]=>[1,2,3,4,7,5,6]=>{{1},{2},{3},{4},{5,6,7}}=>{{1},{2},{3},{4},{5,6,7}}
[4,7,6,5,3,2,1]=>[1,2,3,4,7,5,6]=>{{1},{2},{3},{4},{5,6,7}}=>{{1},{2},{3},{4},{5,6,7}}
[5,1,2,3,4,6,7]=>[1,2,3,4,6,7,5]=>{{1},{2},{3},{4},{5,6,7}}=>{{1},{2},{3},{4},{5,6,7}}
[5,1,2,3,4,7,6]=>[1,2,3,4,7,5,6]=>{{1},{2},{3},{4},{5,6,7}}=>{{1},{2},{3},{4},{5,6,7}}
[5,1,2,3,6,4,7]=>[1,2,3,6,4,7,5]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[5,1,2,3,6,7,4]=>[1,2,3,6,7,4,5]=>{{1},{2},{3},{4,6},{5,7}}=>{{1},{2},{3},{4,7},{5,6}}
[5,1,2,3,7,4,6]=>[1,2,3,7,4,6,5]=>{{1},{2},{3},{4,5,7},{6}}=>{{1},{2},{3},{4,5,7},{6}}
[5,1,2,3,7,6,4]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[5,1,2,4,3,6,7]=>[1,2,4,3,6,7,5]=>{{1},{2},{3,4},{5,6,7}}=>{{1},{2},{3,4},{5,6,7}}
[5,1,2,4,3,7,6]=>[1,2,4,3,7,5,6]=>{{1},{2},{3,4},{5,6,7}}=>{{1},{2},{3,4},{5,6,7}}
[5,1,2,4,6,3,7]=>[1,2,4,6,3,7,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[5,1,2,4,6,7,3]=>[1,2,4,6,7,3,5]=>{{1},{2},{3,4,6},{5,7}}=>{{1},{2},{3,4,7},{5,6}}
[5,1,2,4,7,3,6]=>[1,2,4,7,3,6,5]=>{{1},{2},{3,4,5,7},{6}}=>{{1},{2},{3,4,5,7},{6}}
[5,1,2,4,7,6,3]=>[1,2,4,7,3,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[5,1,2,6,3,4,7]=>[1,2,6,3,4,7,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[5,1,2,6,3,7,4]=>[1,2,6,3,7,4,5]=>{{1},{2},{3,4,6},{5,7}}=>{{1},{2},{3,4,7},{5,6}}
[5,1,2,6,4,3,7]=>[1,2,6,3,7,4,5]=>{{1},{2},{3,4,6},{5,7}}=>{{1},{2},{3,4,7},{5,6}}
[5,1,2,6,4,7,3]=>[1,2,6,3,4,7,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[5,1,2,6,7,3,4]=>[1,2,6,7,3,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[5,1,2,6,7,4,3]=>[1,2,6,7,3,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[5,1,2,7,3,4,6]=>[1,2,7,3,4,6,5]=>{{1},{2},{3,4,5,7},{6}}=>{{1},{2},{3,4,5,7},{6}}
[5,1,2,7,3,6,4]=>[1,2,7,3,6,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[5,1,2,7,4,3,6]=>[1,2,7,3,6,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[5,1,2,7,4,6,3]=>[1,2,7,3,4,6,5]=>{{1},{2},{3,4,5,7},{6}}=>{{1},{2},{3,4,5,7},{6}}
[5,1,2,7,6,3,4]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[5,1,2,7,6,4,3]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[5,1,3,2,4,6,7]=>[1,3,2,4,6,7,5]=>{{1},{2,3},{4},{5,6,7}}=>{{1},{2,3},{4},{5,6,7}}
[5,1,3,2,4,7,6]=>[1,3,2,4,7,5,6]=>{{1},{2,3},{4},{5,6,7}}=>{{1},{2,3},{4},{5,6,7}}
[5,1,3,2,6,4,7]=>[1,3,2,6,4,7,5]=>{{1},{2,3},{4,5,6,7}}=>{{1},{2,3},{4,5,6,7}}
[5,1,3,2,6,7,4]=>[1,3,2,6,7,4,5]=>{{1},{2,3},{4,6},{5,7}}=>{{1},{2,3},{4,7},{5,6}}
[5,1,3,2,7,4,6]=>[1,3,2,7,4,6,5]=>{{1},{2,3},{4,5,7},{6}}=>{{1},{2,3},{4,5,7},{6}}
[5,1,3,2,7,6,4]=>[1,3,2,7,4,5,6]=>{{1},{2,3},{4,5,6,7}}=>{{1},{2,3},{4,5,6,7}}
[5,1,3,4,2,6,7]=>[1,3,4,2,6,7,5]=>{{1},{2,3,4},{5,6,7}}=>{{1},{2,3,4},{5,6,7}}
[5,1,3,4,2,7,6]=>[1,3,4,2,7,5,6]=>{{1},{2,3,4},{5,6,7}}=>{{1},{2,3,4},{5,6,7}}
[5,1,3,4,6,2,7]=>[1,3,4,6,2,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,1,3,4,6,7,2]=>[1,3,4,6,7,2,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[5,1,3,4,7,2,6]=>[1,3,4,7,2,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[5,1,3,4,7,6,2]=>[1,3,4,7,2,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,1,3,6,2,4,7]=>[1,3,6,2,4,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,1,3,6,2,7,4]=>[1,3,6,2,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[5,1,3,6,4,2,7]=>[1,3,6,2,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[5,1,3,6,4,7,2]=>[1,3,6,2,4,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,1,3,6,7,2,4]=>[1,3,6,7,2,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,1,3,6,7,4,2]=>[1,3,6,7,2,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,1,3,7,2,4,6]=>[1,3,7,2,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[5,1,3,7,2,6,4]=>[1,3,7,2,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,1,3,7,4,2,6]=>[1,3,7,2,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,1,3,7,4,6,2]=>[1,3,7,2,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[5,1,3,7,6,2,4]=>[1,3,7,2,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,1,3,7,6,4,2]=>[1,3,7,2,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,1,4,2,3,6,7]=>[1,4,2,3,6,7,5]=>{{1},{2,3,4},{5,6,7}}=>{{1},{2,3,4},{5,6,7}}
[5,1,4,2,3,7,6]=>[1,4,2,3,7,5,6]=>{{1},{2,3,4},{5,6,7}}=>{{1},{2,3,4},{5,6,7}}
[5,1,4,2,6,3,7]=>[1,4,2,6,3,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,1,4,2,6,7,3]=>[1,4,2,6,7,3,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[5,1,4,2,7,3,6]=>[1,4,2,7,3,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[5,1,4,2,7,6,3]=>[1,4,2,7,3,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,1,4,3,2,6,7]=>[1,4,2,6,7,3,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[5,1,4,3,2,7,6]=>[1,4,2,7,3,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,1,4,3,6,2,7]=>[1,4,2,7,3,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[5,1,4,3,6,7,2]=>[1,4,2,3,6,7,5]=>{{1},{2,3,4},{5,6,7}}=>{{1},{2,3,4},{5,6,7}}
[5,1,4,3,7,2,6]=>[1,4,2,6,3,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,1,4,3,7,6,2]=>[1,4,2,3,7,5,6]=>{{1},{2,3,4},{5,6,7}}=>{{1},{2,3,4},{5,6,7}}
[5,1,4,6,2,3,7]=>[1,4,6,2,3,7,5]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[5,1,4,6,2,7,3]=>[1,4,6,2,7,3,5]=>{{1},{2,4},{3,6},{5,7}}=>{{1},{2,7},{3,4},{5,6}}
[5,1,4,6,3,2,7]=>[1,4,6,2,7,3,5]=>{{1},{2,4},{3,6},{5,7}}=>{{1},{2,7},{3,4},{5,6}}
[5,1,4,6,3,7,2]=>[1,4,6,2,3,7,5]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[5,1,4,6,7,2,3]=>[1,4,6,7,2,3,5]=>{{1},{2,4,5,7},{3,6}}=>{{1},{2,5,6},{3,4,7}}
[5,1,4,6,7,3,2]=>[1,4,6,7,2,3,5]=>{{1},{2,4,5,7},{3,6}}=>{{1},{2,5,6},{3,4,7}}
[5,1,4,7,2,3,6]=>[1,4,7,2,3,6,5]=>{{1},{2,4},{3,5,7},{6}}=>{{1},{2,5,7},{3,4},{6}}
[5,1,4,7,2,6,3]=>[1,4,7,2,6,3,5]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[5,1,4,7,3,2,6]=>[1,4,7,2,6,3,5]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[5,1,4,7,3,6,2]=>[1,4,7,2,3,6,5]=>{{1},{2,4},{3,5,7},{6}}=>{{1},{2,5,7},{3,4},{6}}
[5,1,4,7,6,2,3]=>[1,4,7,2,3,5,6]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[5,1,4,7,6,3,2]=>[1,4,7,2,3,5,6]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[5,1,6,2,3,4,7]=>[1,6,2,3,4,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,1,6,2,3,7,4]=>[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[5,1,6,2,4,3,7]=>[1,6,2,4,3,7,5]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[5,1,6,2,4,7,3]=>[1,6,2,4,7,3,5]=>{{1},{2,3,6},{4},{5,7}}=>{{1},{2,3,7},{4},{5,6}}
[5,1,6,2,7,3,4]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,1,6,2,7,4,3]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,1,6,3,2,4,7]=>[1,6,2,4,7,3,5]=>{{1},{2,3,6},{4},{5,7}}=>{{1},{2,3,7},{4},{5,6}}
[5,1,6,3,2,7,4]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,1,6,3,4,2,7]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,1,6,3,4,7,2]=>[1,6,2,3,4,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,1,6,3,7,2,4]=>[1,6,2,4,3,7,5]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[5,1,6,3,7,4,2]=>[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[5,1,6,4,2,3,7]=>[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[5,1,6,4,2,7,3]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,1,6,4,3,2,7]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,1,6,4,3,7,2]=>[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[5,1,6,4,7,2,3]=>[1,6,2,3,4,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,1,6,4,7,3,2]=>[1,6,2,3,4,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,1,6,7,2,3,4]=>[1,6,7,2,3,4,5]=>{{1},{2,4,6},{3,5,7}}=>{{1},{2,7},{3,4,5,6}}
[5,1,6,7,2,4,3]=>[1,6,7,2,4,3,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,1,6,7,3,2,4]=>[1,6,7,2,4,3,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,1,6,7,3,4,2]=>[1,6,7,2,3,4,5]=>{{1},{2,4,6},{3,5,7}}=>{{1},{2,7},{3,4,5,6}}
[5,1,6,7,4,2,3]=>[1,6,7,2,3,4,5]=>{{1},{2,4,6},{3,5,7}}=>{{1},{2,7},{3,4,5,6}}
[5,1,6,7,4,3,2]=>[1,6,7,2,3,4,5]=>{{1},{2,4,6},{3,5,7}}=>{{1},{2,7},{3,4,5,6}}
[5,1,7,2,3,4,6]=>[1,7,2,3,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[5,1,7,2,3,6,4]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,1,7,2,4,3,6]=>[1,7,2,4,3,6,5]=>{{1},{2,3,5,7},{4},{6}}=>{{1},{2,3,5,7},{4},{6}}
[5,1,7,2,4,6,3]=>[1,7,2,4,6,3,5]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[5,1,7,2,6,3,4]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[5,1,7,2,6,4,3]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[5,1,7,3,2,4,6]=>[1,7,2,4,6,3,5]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[5,1,7,3,2,6,4]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[5,1,7,3,4,2,6]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[5,1,7,3,4,6,2]=>[1,7,2,3,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[5,1,7,3,6,2,4]=>[1,7,2,4,3,6,5]=>{{1},{2,3,5,7},{4},{6}}=>{{1},{2,3,5,7},{4},{6}}
[5,1,7,3,6,4,2]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,1,7,4,2,3,6]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,1,7,4,2,6,3]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[5,1,7,4,3,2,6]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[5,1,7,4,3,6,2]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,1,7,4,6,2,3]=>[1,7,2,3,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[5,1,7,4,6,3,2]=>[1,7,2,3,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[5,1,7,6,2,3,4]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,1,7,6,2,4,3]=>[1,7,2,4,3,5,6]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[5,1,7,6,3,2,4]=>[1,7,2,4,3,5,6]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[5,1,7,6,3,4,2]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,1,7,6,4,2,3]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,1,7,6,4,3,2]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,2,1,3,4,6,7]=>[1,3,4,6,7,2,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[5,2,1,3,4,7,6]=>[1,3,4,7,2,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,2,1,3,6,4,7]=>[1,3,6,2,4,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,2,1,3,6,7,4]=>[1,3,6,7,2,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,2,1,3,7,4,6]=>[1,3,7,2,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[5,2,1,3,7,6,4]=>[1,3,7,2,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,2,1,4,3,6,7]=>[1,4,2,3,6,7,5]=>{{1},{2,3,4},{5,6,7}}=>{{1},{2,3,4},{5,6,7}}
[5,2,1,4,3,7,6]=>[1,4,2,3,7,5,6]=>{{1},{2,3,4},{5,6,7}}=>{{1},{2,3,4},{5,6,7}}
[5,2,1,4,6,3,7]=>[1,4,6,2,3,7,5]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[5,2,1,4,6,7,3]=>[1,4,6,7,2,3,5]=>{{1},{2,4,5,7},{3,6}}=>{{1},{2,5,6},{3,4,7}}
[5,2,1,4,7,3,6]=>[1,4,7,2,3,6,5]=>{{1},{2,4},{3,5,7},{6}}=>{{1},{2,5,7},{3,4},{6}}
[5,2,1,4,7,6,3]=>[1,4,7,2,3,5,6]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[5,2,1,6,3,4,7]=>[1,6,2,3,4,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,2,1,6,3,7,4]=>[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[5,2,1,6,4,3,7]=>[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[5,2,1,6,4,7,3]=>[1,6,2,3,4,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,2,1,6,7,3,4]=>[1,6,7,2,3,4,5]=>{{1},{2,4,6},{3,5,7}}=>{{1},{2,7},{3,4,5,6}}
[5,2,1,6,7,4,3]=>[1,6,7,2,3,4,5]=>{{1},{2,4,6},{3,5,7}}=>{{1},{2,7},{3,4,5,6}}
[5,2,1,7,3,4,6]=>[1,7,2,3,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[5,2,1,7,3,6,4]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,2,1,7,4,3,6]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,2,1,7,4,6,3]=>[1,7,2,3,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[5,2,1,7,6,3,4]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,2,1,7,6,4,3]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,2,3,1,4,6,7]=>[1,4,6,7,2,3,5]=>{{1},{2,4,5,7},{3,6}}=>{{1},{2,5,6},{3,4,7}}
[5,2,3,1,4,7,6]=>[1,4,7,2,3,5,6]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[5,2,3,1,6,4,7]=>[1,6,2,3,4,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,2,3,1,6,7,4]=>[1,6,7,2,3,4,5]=>{{1},{2,4,6},{3,5,7}}=>{{1},{2,7},{3,4,5,6}}
[5,2,3,1,7,4,6]=>[1,7,2,3,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[5,2,3,1,7,6,4]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,2,3,4,1,6,7]=>[1,6,7,2,3,4,5]=>{{1},{2,4,6},{3,5,7}}=>{{1},{2,7},{3,4,5,6}}
[5,2,3,4,1,7,6]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,2,3,4,6,1,7]=>[1,7,2,3,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[5,2,3,4,6,7,1]=>[1,2,3,4,6,7,5]=>{{1},{2},{3},{4},{5,6,7}}=>{{1},{2},{3},{4},{5,6,7}}
[5,2,3,4,7,1,6]=>[1,6,2,3,4,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,2,3,4,7,6,1]=>[1,2,3,4,7,5,6]=>{{1},{2},{3},{4},{5,6,7}}=>{{1},{2},{3},{4},{5,6,7}}
[5,2,3,6,1,4,7]=>[1,4,7,2,3,6,5]=>{{1},{2,4},{3,5,7},{6}}=>{{1},{2,5,7},{3,4},{6}}
[5,2,3,6,1,7,4]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,2,3,6,4,1,7]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,2,3,6,4,7,1]=>[1,2,3,6,4,7,5]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[5,2,3,6,7,1,4]=>[1,4,2,3,6,7,5]=>{{1},{2,3,4},{5,6,7}}=>{{1},{2,3,4},{5,6,7}}
[5,2,3,6,7,4,1]=>[1,2,3,6,7,4,5]=>{{1},{2},{3},{4,6},{5,7}}=>{{1},{2},{3},{4,7},{5,6}}
[5,2,3,7,1,4,6]=>[1,4,6,2,3,7,5]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[5,2,3,7,1,6,4]=>[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[5,2,3,7,4,1,6]=>[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[5,2,3,7,4,6,1]=>[1,2,3,7,4,6,5]=>{{1},{2},{3},{4,5,7},{6}}=>{{1},{2},{3},{4,5,7},{6}}
[5,2,3,7,6,1,4]=>[1,4,2,3,7,5,6]=>{{1},{2,3,4},{5,6,7}}=>{{1},{2,3,4},{5,6,7}}
[5,2,3,7,6,4,1]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[5,2,4,1,3,6,7]=>[1,3,6,7,2,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,2,4,1,3,7,6]=>[1,3,7,2,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,2,4,1,6,3,7]=>[1,6,2,4,3,7,5]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[5,2,4,1,6,7,3]=>[1,6,7,2,4,3,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,2,4,1,7,3,6]=>[1,7,2,4,3,6,5]=>{{1},{2,3,5,7},{4},{6}}=>{{1},{2,3,5,7},{4},{6}}
[5,2,4,1,7,6,3]=>[1,7,2,4,3,5,6]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[5,2,4,3,1,6,7]=>[1,6,7,2,4,3,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,2,4,3,1,7,6]=>[1,7,2,4,3,5,6]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[5,2,4,3,6,1,7]=>[1,7,2,4,3,6,5]=>{{1},{2,3,5,7},{4},{6}}=>{{1},{2,3,5,7},{4},{6}}
[5,2,4,3,6,7,1]=>[1,2,4,3,6,7,5]=>{{1},{2},{3,4},{5,6,7}}=>{{1},{2},{3,4},{5,6,7}}
[5,2,4,3,7,1,6]=>[1,6,2,4,3,7,5]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[5,2,4,3,7,6,1]=>[1,2,4,3,7,5,6]=>{{1},{2},{3,4},{5,6,7}}=>{{1},{2},{3,4},{5,6,7}}
[5,2,4,6,1,3,7]=>[1,3,7,2,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[5,2,4,6,1,7,3]=>[1,7,2,4,6,3,5]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[5,2,4,6,3,1,7]=>[1,7,2,4,6,3,5]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[5,2,4,6,3,7,1]=>[1,2,4,6,3,7,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[5,2,4,6,7,1,3]=>[1,3,2,4,6,7,5]=>{{1},{2,3},{4},{5,6,7}}=>{{1},{2,3},{4},{5,6,7}}
[5,2,4,6,7,3,1]=>[1,2,4,6,7,3,5]=>{{1},{2},{3,4,6},{5,7}}=>{{1},{2},{3,4,7},{5,6}}
[5,2,4,7,1,3,6]=>[1,3,6,2,4,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,2,4,7,1,6,3]=>[1,6,2,4,7,3,5]=>{{1},{2,3,6},{4},{5,7}}=>{{1},{2,3,7},{4},{5,6}}
[5,2,4,7,3,1,6]=>[1,6,2,4,7,3,5]=>{{1},{2,3,6},{4},{5,7}}=>{{1},{2,3,7},{4},{5,6}}
[5,2,4,7,3,6,1]=>[1,2,4,7,3,6,5]=>{{1},{2},{3,4,5,7},{6}}=>{{1},{2},{3,4,5,7},{6}}
[5,2,4,7,6,1,3]=>[1,3,2,4,7,5,6]=>{{1},{2,3},{4},{5,6,7}}=>{{1},{2,3},{4},{5,6,7}}
[5,2,4,7,6,3,1]=>[1,2,4,7,3,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[5,2,6,1,3,4,7]=>[1,3,4,7,2,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[5,2,6,1,3,7,4]=>[1,3,7,2,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,2,6,1,4,3,7]=>[1,4,2,6,3,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,2,6,1,4,7,3]=>[1,4,7,2,6,3,5]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[5,2,6,1,7,3,4]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[5,2,6,1,7,4,3]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[5,2,6,3,1,4,7]=>[1,4,7,2,6,3,5]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[5,2,6,3,1,7,4]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[5,2,6,3,4,1,7]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[5,2,6,3,4,7,1]=>[1,2,6,3,4,7,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[5,2,6,3,7,1,4]=>[1,4,2,6,3,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,2,6,3,7,4,1]=>[1,2,6,3,7,4,5]=>{{1},{2},{3,4,6},{5,7}}=>{{1},{2},{3,4,7},{5,6}}
[5,2,6,4,1,3,7]=>[1,3,7,2,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,2,6,4,1,7,3]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[5,2,6,4,3,1,7]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[5,2,6,4,3,7,1]=>[1,2,6,3,7,4,5]=>{{1},{2},{3,4,6},{5,7}}=>{{1},{2},{3,4,7},{5,6}}
[5,2,6,4,7,1,3]=>[1,3,2,6,4,7,5]=>{{1},{2,3},{4,5,6,7}}=>{{1},{2,3},{4,5,6,7}}
[5,2,6,4,7,3,1]=>[1,2,6,3,4,7,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[5,2,6,7,1,3,4]=>[1,3,4,2,6,7,5]=>{{1},{2,3,4},{5,6,7}}=>{{1},{2,3,4},{5,6,7}}
[5,2,6,7,1,4,3]=>[1,4,2,6,7,3,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[5,2,6,7,3,1,4]=>[1,4,2,6,7,3,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[5,2,6,7,3,4,1]=>[1,2,6,7,3,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[5,2,6,7,4,1,3]=>[1,3,2,6,7,4,5]=>{{1},{2,3},{4,6},{5,7}}=>{{1},{2,3},{4,7},{5,6}}
[5,2,6,7,4,3,1]=>[1,2,6,7,3,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[5,2,7,1,3,4,6]=>[1,3,4,6,2,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,2,7,1,3,6,4]=>[1,3,6,2,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[5,2,7,1,4,3,6]=>[1,4,2,7,3,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[5,2,7,1,4,6,3]=>[1,4,6,2,7,3,5]=>{{1},{2,4},{3,6},{5,7}}=>{{1},{2,7},{3,4},{5,6}}
[5,2,7,1,6,3,4]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,2,7,1,6,4,3]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,2,7,3,1,4,6]=>[1,4,6,2,7,3,5]=>{{1},{2,4},{3,6},{5,7}}=>{{1},{2,7},{3,4},{5,6}}
[5,2,7,3,1,6,4]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,2,7,3,4,1,6]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,2,7,3,4,6,1]=>[1,2,7,3,4,6,5]=>{{1},{2},{3,4,5,7},{6}}=>{{1},{2},{3,4,5,7},{6}}
[5,2,7,3,6,1,4]=>[1,4,2,7,3,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[5,2,7,3,6,4,1]=>[1,2,7,3,6,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[5,2,7,4,1,3,6]=>[1,3,6,2,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[5,2,7,4,1,6,3]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,2,7,4,3,1,6]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,2,7,4,3,6,1]=>[1,2,7,3,6,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[5,2,7,4,6,1,3]=>[1,3,2,7,4,6,5]=>{{1},{2,3},{4,5,7},{6}}=>{{1},{2,3},{4,5,7},{6}}
[5,2,7,4,6,3,1]=>[1,2,7,3,4,6,5]=>{{1},{2},{3,4,5,7},{6}}=>{{1},{2},{3,4,5,7},{6}}
[5,2,7,6,1,3,4]=>[1,3,4,2,7,5,6]=>{{1},{2,3,4},{5,6,7}}=>{{1},{2,3,4},{5,6,7}}
[5,2,7,6,1,4,3]=>[1,4,2,7,3,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,2,7,6,3,1,4]=>[1,4,2,7,3,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,2,7,6,3,4,1]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[5,2,7,6,4,1,3]=>[1,3,2,7,4,5,6]=>{{1},{2,3},{4,5,6,7}}=>{{1},{2,3},{4,5,6,7}}
[5,2,7,6,4,3,1]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[5,3,1,2,4,6,7]=>[1,2,4,6,7,3,5]=>{{1},{2},{3,4,6},{5,7}}=>{{1},{2},{3,4,7},{5,6}}
[5,3,1,2,4,7,6]=>[1,2,4,7,3,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[5,3,1,2,6,4,7]=>[1,2,6,3,4,7,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[5,3,1,2,6,7,4]=>[1,2,6,7,3,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[5,3,1,2,7,4,6]=>[1,2,7,3,4,6,5]=>{{1},{2},{3,4,5,7},{6}}=>{{1},{2},{3,4,5,7},{6}}
[5,3,1,2,7,6,4]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[5,3,1,4,2,6,7]=>[1,4,2,6,7,3,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[5,3,1,4,2,7,6]=>[1,4,2,7,3,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,3,1,4,6,2,7]=>[1,4,6,2,7,3,5]=>{{1},{2,4},{3,6},{5,7}}=>{{1},{2,7},{3,4},{5,6}}
[5,3,1,4,6,7,2]=>[1,4,6,7,2,3,5]=>{{1},{2,4,5,7},{3,6}}=>{{1},{2,5,6},{3,4,7}}
[5,3,1,4,7,2,6]=>[1,4,7,2,6,3,5]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[5,3,1,4,7,6,2]=>[1,4,7,2,3,5,6]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[5,3,1,6,2,4,7]=>[1,6,2,4,7,3,5]=>{{1},{2,3,6},{4},{5,7}}=>{{1},{2,3,7},{4},{5,6}}
[5,3,1,6,2,7,4]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,3,1,6,4,2,7]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,3,1,6,4,7,2]=>[1,6,2,3,4,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,3,1,6,7,2,4]=>[1,6,7,2,4,3,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,3,1,6,7,4,2]=>[1,6,7,2,3,4,5]=>{{1},{2,4,6},{3,5,7}}=>{{1},{2,7},{3,4,5,6}}
[5,3,1,7,2,4,6]=>[1,7,2,4,6,3,5]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[5,3,1,7,2,6,4]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[5,3,1,7,4,2,6]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[5,3,1,7,4,6,2]=>[1,7,2,3,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[5,3,1,7,6,2,4]=>[1,7,2,4,3,5,6]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[5,3,1,7,6,4,2]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,3,2,1,4,6,7]=>[1,4,6,7,2,3,5]=>{{1},{2,4,5,7},{3,6}}=>{{1},{2,5,6},{3,4,7}}
[5,3,2,1,4,7,6]=>[1,4,7,2,3,5,6]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[5,3,2,1,6,4,7]=>[1,6,2,3,4,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,3,2,1,6,7,4]=>[1,6,7,2,3,4,5]=>{{1},{2,4,6},{3,5,7}}=>{{1},{2,7},{3,4,5,6}}
[5,3,2,1,7,4,6]=>[1,7,2,3,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[5,3,2,1,7,6,4]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,3,2,4,1,6,7]=>[1,6,7,2,4,3,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,3,2,4,1,7,6]=>[1,7,2,4,3,5,6]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[5,3,2,4,6,1,7]=>[1,7,2,4,6,3,5]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[5,3,2,4,6,7,1]=>[1,2,4,6,7,3,5]=>{{1},{2},{3,4,6},{5,7}}=>{{1},{2},{3,4,7},{5,6}}
[5,3,2,4,7,1,6]=>[1,6,2,4,7,3,5]=>{{1},{2,3,6},{4},{5,7}}=>{{1},{2,3,7},{4},{5,6}}
[5,3,2,4,7,6,1]=>[1,2,4,7,3,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[5,3,2,6,1,4,7]=>[1,4,7,2,6,3,5]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[5,3,2,6,1,7,4]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[5,3,2,6,4,1,7]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[5,3,2,6,4,7,1]=>[1,2,6,3,4,7,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[5,3,2,6,7,1,4]=>[1,4,2,6,7,3,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[5,3,2,6,7,4,1]=>[1,2,6,7,3,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[5,3,2,7,1,4,6]=>[1,4,6,2,7,3,5]=>{{1},{2,4},{3,6},{5,7}}=>{{1},{2,7},{3,4},{5,6}}
[5,3,2,7,1,6,4]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,3,2,7,4,1,6]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,3,2,7,4,6,1]=>[1,2,7,3,4,6,5]=>{{1},{2},{3,4,5,7},{6}}=>{{1},{2},{3,4,5,7},{6}}
[5,3,2,7,6,1,4]=>[1,4,2,7,3,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,3,2,7,6,4,1]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[5,3,4,1,2,6,7]=>[1,2,6,7,3,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[5,3,4,1,2,7,6]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[5,3,4,1,6,2,7]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,3,4,1,6,7,2]=>[1,6,7,2,3,4,5]=>{{1},{2,4,6},{3,5,7}}=>{{1},{2,7},{3,4,5,6}}
[5,3,4,1,7,2,6]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[5,3,4,1,7,6,2]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,3,4,2,1,6,7]=>[1,6,7,2,3,4,5]=>{{1},{2,4,6},{3,5,7}}=>{{1},{2,7},{3,4,5,6}}
[5,3,4,2,1,7,6]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,3,4,2,6,1,7]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[5,3,4,2,6,7,1]=>[1,2,6,7,3,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[5,3,4,2,7,1,6]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,3,4,2,7,6,1]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[5,3,4,6,1,2,7]=>[1,2,7,3,4,6,5]=>{{1},{2},{3,4,5,7},{6}}=>{{1},{2},{3,4,5,7},{6}}
[5,3,4,6,1,7,2]=>[1,7,2,3,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[5,3,4,6,2,1,7]=>[1,7,2,3,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[5,3,4,6,2,7,1]=>[1,2,7,3,4,6,5]=>{{1},{2},{3,4,5,7},{6}}=>{{1},{2},{3,4,5,7},{6}}
[5,3,4,6,7,1,2]=>[1,2,3,4,6,7,5]=>{{1},{2},{3},{4},{5,6,7}}=>{{1},{2},{3},{4},{5,6,7}}
[5,3,4,6,7,2,1]=>[1,2,3,4,6,7,5]=>{{1},{2},{3},{4},{5,6,7}}=>{{1},{2},{3},{4},{5,6,7}}
[5,3,4,7,1,2,6]=>[1,2,6,3,4,7,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[5,3,4,7,1,6,2]=>[1,6,2,3,4,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,3,4,7,2,1,6]=>[1,6,2,3,4,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,3,4,7,2,6,1]=>[1,2,6,3,4,7,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[5,3,4,7,6,1,2]=>[1,2,3,4,7,5,6]=>{{1},{2},{3},{4},{5,6,7}}=>{{1},{2},{3},{4},{5,6,7}}
[5,3,4,7,6,2,1]=>[1,2,3,4,7,5,6]=>{{1},{2},{3},{4},{5,6,7}}=>{{1},{2},{3},{4},{5,6,7}}
[5,3,6,1,2,4,7]=>[1,2,4,7,3,6,5]=>{{1},{2},{3,4,5,7},{6}}=>{{1},{2},{3,4,5,7},{6}}
[5,3,6,1,2,7,4]=>[1,2,7,3,6,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[5,3,6,1,4,2,7]=>[1,4,2,7,3,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[5,3,6,1,4,7,2]=>[1,4,7,2,3,6,5]=>{{1},{2,4},{3,5,7},{6}}=>{{1},{2,5,7},{3,4},{6}}
[5,3,6,1,7,2,4]=>[1,7,2,4,3,6,5]=>{{1},{2,3,5,7},{4},{6}}=>{{1},{2,3,5,7},{4},{6}}
[5,3,6,1,7,4,2]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,3,6,2,1,4,7]=>[1,4,7,2,3,6,5]=>{{1},{2,4},{3,5,7},{6}}=>{{1},{2,5,7},{3,4},{6}}
[5,3,6,2,1,7,4]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,3,6,2,4,1,7]=>[1,7,2,4,3,6,5]=>{{1},{2,3,5,7},{4},{6}}=>{{1},{2,3,5,7},{4},{6}}
[5,3,6,2,4,7,1]=>[1,2,4,7,3,6,5]=>{{1},{2},{3,4,5,7},{6}}=>{{1},{2},{3,4,5,7},{6}}
[5,3,6,2,7,1,4]=>[1,4,2,7,3,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[5,3,6,2,7,4,1]=>[1,2,7,3,6,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[5,3,6,4,1,2,7]=>[1,2,7,3,6,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[5,3,6,4,1,7,2]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,3,6,4,2,1,7]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,3,6,4,2,7,1]=>[1,2,7,3,6,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[5,3,6,4,7,1,2]=>[1,2,3,6,4,7,5]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[5,3,6,4,7,2,1]=>[1,2,3,6,4,7,5]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[5,3,6,7,1,2,4]=>[1,2,4,3,6,7,5]=>{{1},{2},{3,4},{5,6,7}}=>{{1},{2},{3,4},{5,6,7}}
[5,3,6,7,1,4,2]=>[1,4,2,3,6,7,5]=>{{1},{2,3,4},{5,6,7}}=>{{1},{2,3,4},{5,6,7}}
[5,3,6,7,2,1,4]=>[1,4,2,3,6,7,5]=>{{1},{2,3,4},{5,6,7}}=>{{1},{2,3,4},{5,6,7}}
[5,3,6,7,2,4,1]=>[1,2,4,3,6,7,5]=>{{1},{2},{3,4},{5,6,7}}=>{{1},{2},{3,4},{5,6,7}}
[5,3,6,7,4,1,2]=>[1,2,3,6,7,4,5]=>{{1},{2},{3},{4,6},{5,7}}=>{{1},{2},{3},{4,7},{5,6}}
[5,3,6,7,4,2,1]=>[1,2,3,6,7,4,5]=>{{1},{2},{3},{4,6},{5,7}}=>{{1},{2},{3},{4,7},{5,6}}
[5,3,7,1,2,4,6]=>[1,2,4,6,3,7,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[5,3,7,1,2,6,4]=>[1,2,6,3,7,4,5]=>{{1},{2},{3,4,6},{5,7}}=>{{1},{2},{3,4,7},{5,6}}
[5,3,7,1,4,2,6]=>[1,4,2,6,3,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,3,7,1,4,6,2]=>[1,4,6,2,3,7,5]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[5,3,7,1,6,2,4]=>[1,6,2,4,3,7,5]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[5,3,7,1,6,4,2]=>[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[5,3,7,2,1,4,6]=>[1,4,6,2,3,7,5]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[5,3,7,2,1,6,4]=>[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[5,3,7,2,4,1,6]=>[1,6,2,4,3,7,5]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[5,3,7,2,4,6,1]=>[1,2,4,6,3,7,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[5,3,7,2,6,1,4]=>[1,4,2,6,3,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,3,7,2,6,4,1]=>[1,2,6,3,7,4,5]=>{{1},{2},{3,4,6},{5,7}}=>{{1},{2},{3,4,7},{5,6}}
[5,3,7,4,1,2,6]=>[1,2,6,3,7,4,5]=>{{1},{2},{3,4,6},{5,7}}=>{{1},{2},{3,4,7},{5,6}}
[5,3,7,4,1,6,2]=>[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[5,3,7,4,2,1,6]=>[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[5,3,7,4,2,6,1]=>[1,2,6,3,7,4,5]=>{{1},{2},{3,4,6},{5,7}}=>{{1},{2},{3,4,7},{5,6}}
[5,3,7,4,6,1,2]=>[1,2,3,7,4,6,5]=>{{1},{2},{3},{4,5,7},{6}}=>{{1},{2},{3},{4,5,7},{6}}
[5,3,7,4,6,2,1]=>[1,2,3,7,4,6,5]=>{{1},{2},{3},{4,5,7},{6}}=>{{1},{2},{3},{4,5,7},{6}}
[5,3,7,6,1,2,4]=>[1,2,4,3,7,5,6]=>{{1},{2},{3,4},{5,6,7}}=>{{1},{2},{3,4},{5,6,7}}
[5,3,7,6,1,4,2]=>[1,4,2,3,7,5,6]=>{{1},{2,3,4},{5,6,7}}=>{{1},{2,3,4},{5,6,7}}
[5,3,7,6,2,1,4]=>[1,4,2,3,7,5,6]=>{{1},{2,3,4},{5,6,7}}=>{{1},{2,3,4},{5,6,7}}
[5,3,7,6,2,4,1]=>[1,2,4,3,7,5,6]=>{{1},{2},{3,4},{5,6,7}}=>{{1},{2},{3,4},{5,6,7}}
[5,3,7,6,4,1,2]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[5,3,7,6,4,2,1]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[5,4,1,2,3,6,7]=>[1,2,3,6,7,4,5]=>{{1},{2},{3},{4,6},{5,7}}=>{{1},{2},{3},{4,7},{5,6}}
[5,4,1,2,3,7,6]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[5,4,1,2,6,3,7]=>[1,2,6,3,7,4,5]=>{{1},{2},{3,4,6},{5,7}}=>{{1},{2},{3,4,7},{5,6}}
[5,4,1,2,6,7,3]=>[1,2,6,7,3,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[5,4,1,2,7,3,6]=>[1,2,7,3,6,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[5,4,1,2,7,6,3]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[5,4,1,3,2,6,7]=>[1,3,2,6,7,4,5]=>{{1},{2,3},{4,6},{5,7}}=>{{1},{2,3},{4,7},{5,6}}
[5,4,1,3,2,7,6]=>[1,3,2,7,4,5,6]=>{{1},{2,3},{4,5,6,7}}=>{{1},{2,3},{4,5,6,7}}
[5,4,1,3,6,2,7]=>[1,3,6,2,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[5,4,1,3,6,7,2]=>[1,3,6,7,2,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,4,1,3,7,2,6]=>[1,3,7,2,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,4,1,3,7,6,2]=>[1,3,7,2,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,4,1,6,2,3,7]=>[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[5,4,1,6,2,7,3]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,4,1,6,3,2,7]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,4,1,6,3,7,2]=>[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[5,4,1,6,7,2,3]=>[1,6,7,2,3,4,5]=>{{1},{2,4,6},{3,5,7}}=>{{1},{2,7},{3,4,5,6}}
[5,4,1,6,7,3,2]=>[1,6,7,2,3,4,5]=>{{1},{2,4,6},{3,5,7}}=>{{1},{2,7},{3,4,5,6}}
[5,4,1,7,2,3,6]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,4,1,7,2,6,3]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[5,4,1,7,3,2,6]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[5,4,1,7,3,6,2]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,4,1,7,6,2,3]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,4,1,7,6,3,2]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,4,2,1,3,6,7]=>[1,3,6,7,2,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,4,2,1,3,7,6]=>[1,3,7,2,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,4,2,1,6,3,7]=>[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[5,4,2,1,6,7,3]=>[1,6,7,2,3,4,5]=>{{1},{2,4,6},{3,5,7}}=>{{1},{2,7},{3,4,5,6}}
[5,4,2,1,7,3,6]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,4,2,1,7,6,3]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,4,2,3,1,6,7]=>[1,6,7,2,3,4,5]=>{{1},{2,4,6},{3,5,7}}=>{{1},{2,7},{3,4,5,6}}
[5,4,2,3,1,7,6]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,4,2,3,6,1,7]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,4,2,3,6,7,1]=>[1,2,3,6,7,4,5]=>{{1},{2},{3},{4,6},{5,7}}=>{{1},{2},{3},{4,7},{5,6}}
[5,4,2,3,7,1,6]=>[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[5,4,2,3,7,6,1]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[5,4,2,6,1,3,7]=>[1,3,7,2,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,4,2,6,1,7,3]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[5,4,2,6,3,1,7]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[5,4,2,6,3,7,1]=>[1,2,6,3,7,4,5]=>{{1},{2},{3,4,6},{5,7}}=>{{1},{2},{3,4,7},{5,6}}
[5,4,2,6,7,1,3]=>[1,3,2,6,7,4,5]=>{{1},{2,3},{4,6},{5,7}}=>{{1},{2,3},{4,7},{5,6}}
[5,4,2,6,7,3,1]=>[1,2,6,7,3,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[5,4,2,7,1,3,6]=>[1,3,6,2,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[5,4,2,7,1,6,3]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,4,2,7,3,1,6]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,4,2,7,3,6,1]=>[1,2,7,3,6,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[5,4,2,7,6,1,3]=>[1,3,2,7,4,5,6]=>{{1},{2,3},{4,5,6,7}}=>{{1},{2,3},{4,5,6,7}}
[5,4,2,7,6,3,1]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[5,4,3,1,2,6,7]=>[1,2,6,7,3,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[5,4,3,1,2,7,6]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[5,4,3,1,6,2,7]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,4,3,1,6,7,2]=>[1,6,7,2,3,4,5]=>{{1},{2,4,6},{3,5,7}}=>{{1},{2,7},{3,4,5,6}}
[5,4,3,1,7,2,6]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[5,4,3,1,7,6,2]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,4,3,2,1,6,7]=>[1,6,7,2,3,4,5]=>{{1},{2,4,6},{3,5,7}}=>{{1},{2,7},{3,4,5,6}}
[5,4,3,2,1,7,6]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,4,3,2,6,1,7]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}
[5,4,3,2,6,7,1]=>[1,2,6,7,3,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[5,4,3,2,7,1,6]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,4,3,2,7,6,1]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[5,4,3,6,1,2,7]=>[1,2,7,3,6,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[5,4,3,6,1,7,2]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,4,3,6,2,1,7]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,4,3,6,2,7,1]=>[1,2,7,3,6,4,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[5,4,3,6,7,1,2]=>[1,2,3,6,7,4,5]=>{{1},{2},{3},{4,6},{5,7}}=>{{1},{2},{3},{4,7},{5,6}}
[5,4,3,6,7,2,1]=>[1,2,3,6,7,4,5]=>{{1},{2},{3},{4,6},{5,7}}=>{{1},{2},{3},{4,7},{5,6}}
[5,4,3,7,1,2,6]=>[1,2,6,3,7,4,5]=>{{1},{2},{3,4,6},{5,7}}=>{{1},{2},{3,4,7},{5,6}}
[5,4,3,7,1,6,2]=>[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[5,4,3,7,2,1,6]=>[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
[5,4,3,7,2,6,1]=>[1,2,6,3,7,4,5]=>{{1},{2},{3,4,6},{5,7}}=>{{1},{2},{3,4,7},{5,6}}
[5,4,3,7,6,1,2]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[5,4,3,7,6,2,1]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[5,4,6,1,2,3,7]=>[1,2,3,7,4,6,5]=>{{1},{2},{3},{4,5,7},{6}}=>{{1},{2},{3},{4,5,7},{6}}
[5,4,6,1,2,7,3]=>[1,2,7,3,4,6,5]=>{{1},{2},{3,4,5,7},{6}}=>{{1},{2},{3,4,5,7},{6}}
[5,4,6,1,3,2,7]=>[1,3,2,7,4,6,5]=>{{1},{2,3},{4,5,7},{6}}=>{{1},{2,3},{4,5,7},{6}}
[5,4,6,1,3,7,2]=>[1,3,7,2,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[5,4,6,1,7,2,3]=>[1,7,2,3,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[5,4,6,1,7,3,2]=>[1,7,2,3,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[5,4,6,2,1,3,7]=>[1,3,7,2,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[5,4,6,2,1,7,3]=>[1,7,2,3,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[5,4,6,2,3,1,7]=>[1,7,2,3,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[5,4,6,2,3,7,1]=>[1,2,3,7,4,6,5]=>{{1},{2},{3},{4,5,7},{6}}=>{{1},{2},{3},{4,5,7},{6}}
[5,4,6,2,7,1,3]=>[1,3,2,7,4,6,5]=>{{1},{2,3},{4,5,7},{6}}=>{{1},{2,3},{4,5,7},{6}}
[5,4,6,2,7,3,1]=>[1,2,7,3,4,6,5]=>{{1},{2},{3,4,5,7},{6}}=>{{1},{2},{3,4,5,7},{6}}
[5,4,6,3,1,2,7]=>[1,2,7,3,4,6,5]=>{{1},{2},{3,4,5,7},{6}}=>{{1},{2},{3,4,5,7},{6}}
[5,4,6,3,1,7,2]=>[1,7,2,3,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[5,4,6,3,2,1,7]=>[1,7,2,3,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
[5,4,6,3,2,7,1]=>[1,2,7,3,4,6,5]=>{{1},{2},{3,4,5,7},{6}}=>{{1},{2},{3,4,5,7},{6}}
[5,4,6,3,7,1,2]=>[1,2,3,7,4,6,5]=>{{1},{2},{3},{4,5,7},{6}}=>{{1},{2},{3},{4,5,7},{6}}
[5,4,6,3,7,2,1]=>[1,2,3,7,4,6,5]=>{{1},{2},{3},{4,5,7},{6}}=>{{1},{2},{3},{4,5,7},{6}}
[5,4,6,7,1,2,3]=>[1,2,3,4,6,7,5]=>{{1},{2},{3},{4},{5,6,7}}=>{{1},{2},{3},{4},{5,6,7}}
[5,4,6,7,1,3,2]=>[1,3,2,4,6,7,5]=>{{1},{2,3},{4},{5,6,7}}=>{{1},{2,3},{4},{5,6,7}}
[5,4,6,7,2,1,3]=>[1,3,2,4,6,7,5]=>{{1},{2,3},{4},{5,6,7}}=>{{1},{2,3},{4},{5,6,7}}
[5,4,6,7,2,3,1]=>[1,2,3,4,6,7,5]=>{{1},{2},{3},{4},{5,6,7}}=>{{1},{2},{3},{4},{5,6,7}}
[5,4,6,7,3,1,2]=>[1,2,3,4,6,7,5]=>{{1},{2},{3},{4},{5,6,7}}=>{{1},{2},{3},{4},{5,6,7}}
[5,4,6,7,3,2,1]=>[1,2,3,4,6,7,5]=>{{1},{2},{3},{4},{5,6,7}}=>{{1},{2},{3},{4},{5,6,7}}
[5,4,7,1,2,3,6]=>[1,2,3,6,4,7,5]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[5,4,7,1,2,6,3]=>[1,2,6,3,4,7,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[5,4,7,1,3,2,6]=>[1,3,2,6,4,7,5]=>{{1},{2,3},{4,5,6,7}}=>{{1},{2,3},{4,5,6,7}}
[5,4,7,1,3,6,2]=>[1,3,6,2,4,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,4,7,1,6,2,3]=>[1,6,2,3,4,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,4,7,1,6,3,2]=>[1,6,2,3,4,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,4,7,2,1,3,6]=>[1,3,6,2,4,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,4,7,2,1,6,3]=>[1,6,2,3,4,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,4,7,2,3,1,6]=>[1,6,2,3,4,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,4,7,2,3,6,1]=>[1,2,3,6,4,7,5]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[5,4,7,2,6,1,3]=>[1,3,2,6,4,7,5]=>{{1},{2,3},{4,5,6,7}}=>{{1},{2,3},{4,5,6,7}}
[5,4,7,2,6,3,1]=>[1,2,6,3,4,7,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[5,4,7,3,1,2,6]=>[1,2,6,3,4,7,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[5,4,7,3,1,6,2]=>[1,6,2,3,4,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,4,7,3,2,1,6]=>[1,6,2,3,4,7,5]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,4,7,3,2,6,1]=>[1,2,6,3,4,7,5]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[5,4,7,3,6,1,2]=>[1,2,3,6,4,7,5]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[5,4,7,3,6,2,1]=>[1,2,3,6,4,7,5]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[5,4,7,6,1,2,3]=>[1,2,3,4,7,5,6]=>{{1},{2},{3},{4},{5,6,7}}=>{{1},{2},{3},{4},{5,6,7}}
[5,4,7,6,1,3,2]=>[1,3,2,4,7,5,6]=>{{1},{2,3},{4},{5,6,7}}=>{{1},{2,3},{4},{5,6,7}}
[5,4,7,6,2,1,3]=>[1,3,2,4,7,5,6]=>{{1},{2,3},{4},{5,6,7}}=>{{1},{2,3},{4},{5,6,7}}
[5,4,7,6,2,3,1]=>[1,2,3,4,7,5,6]=>{{1},{2},{3},{4},{5,6,7}}=>{{1},{2},{3},{4},{5,6,7}}
[5,4,7,6,3,1,2]=>[1,2,3,4,7,5,6]=>{{1},{2},{3},{4},{5,6,7}}=>{{1},{2},{3},{4},{5,6,7}}
[5,4,7,6,3,2,1]=>[1,2,3,4,7,5,6]=>{{1},{2},{3},{4},{5,6,7}}=>{{1},{2},{3},{4},{5,6,7}}
[5,6,1,2,3,4,7]=>[1,2,3,4,7,5,6]=>{{1},{2},{3},{4},{5,6,7}}=>{{1},{2},{3},{4},{5,6,7}}
[5,6,1,2,3,7,4]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[5,6,1,2,4,3,7]=>[1,2,4,3,7,5,6]=>{{1},{2},{3,4},{5,6,7}}=>{{1},{2},{3,4},{5,6,7}}
[5,6,1,2,4,7,3]=>[1,2,4,7,3,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[5,6,1,2,7,3,4]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[5,6,1,2,7,4,3]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[5,6,1,3,2,4,7]=>[1,3,2,4,7,5,6]=>{{1},{2,3},{4},{5,6,7}}=>{{1},{2,3},{4},{5,6,7}}
[5,6,1,3,2,7,4]=>[1,3,2,7,4,5,6]=>{{1},{2,3},{4,5,6,7}}=>{{1},{2,3},{4,5,6,7}}
[5,6,1,3,4,2,7]=>[1,3,4,2,7,5,6]=>{{1},{2,3,4},{5,6,7}}=>{{1},{2,3,4},{5,6,7}}
[5,6,1,3,4,7,2]=>[1,3,4,7,2,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,6,1,3,7,2,4]=>[1,3,7,2,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,6,1,3,7,4,2]=>[1,3,7,2,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,6,1,4,2,3,7]=>[1,4,2,3,7,5,6]=>{{1},{2,3,4},{5,6,7}}=>{{1},{2,3,4},{5,6,7}}
[5,6,1,4,2,7,3]=>[1,4,2,7,3,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,6,1,4,3,2,7]=>[1,4,2,7,3,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,6,1,4,3,7,2]=>[1,4,2,3,7,5,6]=>{{1},{2,3,4},{5,6,7}}=>{{1},{2,3,4},{5,6,7}}
[5,6,1,4,7,2,3]=>[1,4,7,2,3,5,6]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[5,6,1,4,7,3,2]=>[1,4,7,2,3,5,6]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[5,6,1,7,2,3,4]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,6,1,7,2,4,3]=>[1,7,2,4,3,5,6]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[5,6,1,7,3,2,4]=>[1,7,2,4,3,5,6]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[5,6,1,7,3,4,2]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,6,1,7,4,2,3]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,6,1,7,4,3,2]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,6,2,1,3,4,7]=>[1,3,4,7,2,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,6,2,1,3,7,4]=>[1,3,7,2,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,6,2,1,4,3,7]=>[1,4,2,3,7,5,6]=>{{1},{2,3,4},{5,6,7}}=>{{1},{2,3,4},{5,6,7}}
[5,6,2,1,4,7,3]=>[1,4,7,2,3,5,6]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[5,6,2,1,7,3,4]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,6,2,1,7,4,3]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,6,2,3,1,4,7]=>[1,4,7,2,3,5,6]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[5,6,2,3,1,7,4]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,6,2,3,4,1,7]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,6,2,3,4,7,1]=>[1,2,3,4,7,5,6]=>{{1},{2},{3},{4},{5,6,7}}=>{{1},{2},{3},{4},{5,6,7}}
[5,6,2,3,7,1,4]=>[1,4,2,3,7,5,6]=>{{1},{2,3,4},{5,6,7}}=>{{1},{2,3,4},{5,6,7}}
[5,6,2,3,7,4,1]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[5,6,2,4,1,3,7]=>[1,3,7,2,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,6,2,4,1,7,3]=>[1,7,2,4,3,5,6]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[5,6,2,4,3,1,7]=>[1,7,2,4,3,5,6]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[5,6,2,4,3,7,1]=>[1,2,4,3,7,5,6]=>{{1},{2},{3,4},{5,6,7}}=>{{1},{2},{3,4},{5,6,7}}
[5,6,2,4,7,1,3]=>[1,3,2,4,7,5,6]=>{{1},{2,3},{4},{5,6,7}}=>{{1},{2,3},{4},{5,6,7}}
[5,6,2,4,7,3,1]=>[1,2,4,7,3,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[5,6,2,7,1,3,4]=>[1,3,4,2,7,5,6]=>{{1},{2,3,4},{5,6,7}}=>{{1},{2,3,4},{5,6,7}}
[5,6,2,7,1,4,3]=>[1,4,2,7,3,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,6,2,7,3,1,4]=>[1,4,2,7,3,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,6,2,7,3,4,1]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[5,6,2,7,4,1,3]=>[1,3,2,7,4,5,6]=>{{1},{2,3},{4,5,6,7}}=>{{1},{2,3},{4,5,6,7}}
[5,6,2,7,4,3,1]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[5,6,3,1,2,4,7]=>[1,2,4,7,3,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[5,6,3,1,2,7,4]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[5,6,3,1,4,2,7]=>[1,4,2,7,3,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,6,3,1,4,7,2]=>[1,4,7,2,3,5,6]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[5,6,3,1,7,2,4]=>[1,7,2,4,3,5,6]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[5,6,3,1,7,4,2]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,6,3,2,1,4,7]=>[1,4,7,2,3,5,6]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[5,6,3,2,1,7,4]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,6,3,2,4,1,7]=>[1,7,2,4,3,5,6]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[5,6,3,2,4,7,1]=>[1,2,4,7,3,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[5,6,3,2,7,1,4]=>[1,4,2,7,3,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,6,3,2,7,4,1]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[5,6,3,4,1,2,7]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[5,6,3,4,1,7,2]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,6,3,4,2,1,7]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,6,3,4,2,7,1]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[5,6,3,4,7,1,2]=>[1,2,3,4,7,5,6]=>{{1},{2},{3},{4},{5,6,7}}=>{{1},{2},{3},{4},{5,6,7}}
[5,6,3,4,7,2,1]=>[1,2,3,4,7,5,6]=>{{1},{2},{3},{4},{5,6,7}}=>{{1},{2},{3},{4},{5,6,7}}
[5,6,3,7,1,2,4]=>[1,2,4,3,7,5,6]=>{{1},{2},{3,4},{5,6,7}}=>{{1},{2},{3,4},{5,6,7}}
[5,6,3,7,1,4,2]=>[1,4,2,3,7,5,6]=>{{1},{2,3,4},{5,6,7}}=>{{1},{2,3,4},{5,6,7}}
[5,6,3,7,2,1,4]=>[1,4,2,3,7,5,6]=>{{1},{2,3,4},{5,6,7}}=>{{1},{2,3,4},{5,6,7}}
[5,6,3,7,2,4,1]=>[1,2,4,3,7,5,6]=>{{1},{2},{3,4},{5,6,7}}=>{{1},{2},{3,4},{5,6,7}}
[5,6,3,7,4,1,2]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[5,6,3,7,4,2,1]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[5,6,4,1,2,3,7]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[5,6,4,1,2,7,3]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[5,6,4,1,3,2,7]=>[1,3,2,7,4,5,6]=>{{1},{2,3},{4,5,6,7}}=>{{1},{2,3},{4,5,6,7}}
[5,6,4,1,3,7,2]=>[1,3,7,2,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,6,4,1,7,2,3]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,6,4,1,7,3,2]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,6,4,2,1,3,7]=>[1,3,7,2,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,6,4,2,1,7,3]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,6,4,2,3,1,7]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,6,4,2,3,7,1]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[5,6,4,2,7,1,3]=>[1,3,2,7,4,5,6]=>{{1},{2,3},{4,5,6,7}}=>{{1},{2,3},{4,5,6,7}}
[5,6,4,2,7,3,1]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[5,6,4,3,1,2,7]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[5,6,4,3,1,7,2]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,6,4,3,2,1,7]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[5,6,4,3,2,7,1]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[5,6,4,3,7,1,2]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[5,6,4,3,7,2,1]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[5,6,4,7,1,2,3]=>[1,2,3,4,7,5,6]=>{{1},{2},{3},{4},{5,6,7}}=>{{1},{2},{3},{4},{5,6,7}}
[5,6,4,7,1,3,2]=>[1,3,2,4,7,5,6]=>{{1},{2,3},{4},{5,6,7}}=>{{1},{2,3},{4},{5,6,7}}
[5,6,4,7,2,1,3]=>[1,3,2,4,7,5,6]=>{{1},{2,3},{4},{5,6,7}}=>{{1},{2,3},{4},{5,6,7}}
[5,6,4,7,2,3,1]=>[1,2,3,4,7,5,6]=>{{1},{2},{3},{4},{5,6,7}}=>{{1},{2},{3},{4},{5,6,7}}
[5,6,4,7,3,1,2]=>[1,2,3,4,7,5,6]=>{{1},{2},{3},{4},{5,6,7}}=>{{1},{2},{3},{4},{5,6,7}}
[5,6,4,7,3,2,1]=>[1,2,3,4,7,5,6]=>{{1},{2},{3},{4},{5,6,7}}=>{{1},{2},{3},{4},{5,6,7}}
[5,6,7,1,2,3,4]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[5,6,7,1,2,4,3]=>[1,2,4,3,5,6,7]=>{{1},{2},{3,4},{5},{6},{7}}=>{{1},{2},{3,4},{5},{6},{7}}
[5,6,7,1,3,2,4]=>[1,3,2,4,5,6,7]=>{{1},{2,3},{4},{5},{6},{7}}=>{{1},{2,3},{4},{5},{6},{7}}
[5,6,7,1,3,4,2]=>[1,3,4,2,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>{{1},{2,3,4},{5},{6},{7}}
[5,6,7,1,4,2,3]=>[1,4,2,3,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>{{1},{2,3,4},{5},{6},{7}}
[5,6,7,1,4,3,2]=>[1,4,2,3,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>{{1},{2,3,4},{5},{6},{7}}
[5,6,7,2,1,3,4]=>[1,3,4,2,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>{{1},{2,3,4},{5},{6},{7}}
[5,6,7,2,1,4,3]=>[1,4,2,3,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>{{1},{2,3,4},{5},{6},{7}}
[5,6,7,2,3,1,4]=>[1,4,2,3,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>{{1},{2,3,4},{5},{6},{7}}
[5,6,7,2,3,4,1]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[5,6,7,2,4,1,3]=>[1,3,2,4,5,6,7]=>{{1},{2,3},{4},{5},{6},{7}}=>{{1},{2,3},{4},{5},{6},{7}}
[5,6,7,2,4,3,1]=>[1,2,4,3,5,6,7]=>{{1},{2},{3,4},{5},{6},{7}}=>{{1},{2},{3,4},{5},{6},{7}}
[5,6,7,3,1,2,4]=>[1,2,4,3,5,6,7]=>{{1},{2},{3,4},{5},{6},{7}}=>{{1},{2},{3,4},{5},{6},{7}}
[5,6,7,3,1,4,2]=>[1,4,2,3,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>{{1},{2,3,4},{5},{6},{7}}
[5,6,7,3,2,1,4]=>[1,4,2,3,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>{{1},{2,3,4},{5},{6},{7}}
[5,6,7,3,2,4,1]=>[1,2,4,3,5,6,7]=>{{1},{2},{3,4},{5},{6},{7}}=>{{1},{2},{3,4},{5},{6},{7}}
[5,6,7,3,4,1,2]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[5,6,7,3,4,2,1]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[5,6,7,4,1,2,3]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[5,6,7,4,1,3,2]=>[1,3,2,4,5,6,7]=>{{1},{2,3},{4},{5},{6},{7}}=>{{1},{2,3},{4},{5},{6},{7}}
[5,6,7,4,2,1,3]=>[1,3,2,4,5,6,7]=>{{1},{2,3},{4},{5},{6},{7}}=>{{1},{2,3},{4},{5},{6},{7}}
[5,6,7,4,2,3,1]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[5,6,7,4,3,1,2]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[5,6,7,4,3,2,1]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[5,7,1,2,3,4,6]=>[1,2,3,4,6,5,7]=>{{1},{2},{3},{4},{5,6},{7}}=>{{1},{2},{3},{4},{5,6},{7}}
[5,7,1,2,3,6,4]=>[1,2,3,6,4,5,7]=>{{1},{2},{3},{4,5,6},{7}}=>{{1},{2},{3},{4,5,6},{7}}
[5,7,1,2,4,3,6]=>[1,2,4,3,6,5,7]=>{{1},{2},{3,4},{5,6},{7}}=>{{1},{2},{3,4},{5,6},{7}}
[5,7,1,2,4,6,3]=>[1,2,4,6,3,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[5,7,1,2,6,3,4]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[5,7,1,2,6,4,3]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[5,7,1,3,2,4,6]=>[1,3,2,4,6,5,7]=>{{1},{2,3},{4},{5,6},{7}}=>{{1},{2,3},{4},{5,6},{7}}
[5,7,1,3,2,6,4]=>[1,3,2,6,4,5,7]=>{{1},{2,3},{4,5,6},{7}}=>{{1},{2,3},{4,5,6},{7}}
[5,7,1,3,4,2,6]=>[1,3,4,2,6,5,7]=>{{1},{2,3,4},{5,6},{7}}=>{{1},{2,3,4},{5,6},{7}}
[5,7,1,3,4,6,2]=>[1,3,4,6,2,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[5,7,1,3,6,2,4]=>[1,3,6,2,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[5,7,1,3,6,4,2]=>[1,3,6,2,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[5,7,1,4,2,3,6]=>[1,4,2,3,6,5,7]=>{{1},{2,3,4},{5,6},{7}}=>{{1},{2,3,4},{5,6},{7}}
[5,7,1,4,2,6,3]=>[1,4,2,6,3,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[5,7,1,4,3,2,6]=>[1,4,2,6,3,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[5,7,1,4,3,6,2]=>[1,4,2,3,6,5,7]=>{{1},{2,3,4},{5,6},{7}}=>{{1},{2,3,4},{5,6},{7}}
[5,7,1,4,6,2,3]=>[1,4,6,2,3,5,7]=>{{1},{2,4},{3,5,6},{7}}=>{{1},{2,5,6},{3,4},{7}}
[5,7,1,4,6,3,2]=>[1,4,6,2,3,5,7]=>{{1},{2,4},{3,5,6},{7}}=>{{1},{2,5,6},{3,4},{7}}
[5,7,1,6,2,3,4]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[5,7,1,6,2,4,3]=>[1,6,2,4,3,5,7]=>{{1},{2,3,5,6},{4},{7}}=>{{1},{2,3,5,6},{4},{7}}
[5,7,1,6,3,2,4]=>[1,6,2,4,3,5,7]=>{{1},{2,3,5,6},{4},{7}}=>{{1},{2,3,5,6},{4},{7}}
[5,7,1,6,3,4,2]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[5,7,1,6,4,2,3]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[5,7,1,6,4,3,2]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[5,7,2,1,3,4,6]=>[1,3,4,6,2,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[5,7,2,1,3,6,4]=>[1,3,6,2,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[5,7,2,1,4,3,6]=>[1,4,2,3,6,5,7]=>{{1},{2,3,4},{5,6},{7}}=>{{1},{2,3,4},{5,6},{7}}
[5,7,2,1,4,6,3]=>[1,4,6,2,3,5,7]=>{{1},{2,4},{3,5,6},{7}}=>{{1},{2,5,6},{3,4},{7}}
[5,7,2,1,6,3,4]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[5,7,2,1,6,4,3]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[5,7,2,3,1,4,6]=>[1,4,6,2,3,5,7]=>{{1},{2,4},{3,5,6},{7}}=>{{1},{2,5,6},{3,4},{7}}
[5,7,2,3,1,6,4]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[5,7,2,3,4,1,6]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[5,7,2,3,4,6,1]=>[1,2,3,4,6,5,7]=>{{1},{2},{3},{4},{5,6},{7}}=>{{1},{2},{3},{4},{5,6},{7}}
[5,7,2,3,6,1,4]=>[1,4,2,3,6,5,7]=>{{1},{2,3,4},{5,6},{7}}=>{{1},{2,3,4},{5,6},{7}}
[5,7,2,3,6,4,1]=>[1,2,3,6,4,5,7]=>{{1},{2},{3},{4,5,6},{7}}=>{{1},{2},{3},{4,5,6},{7}}
[5,7,2,4,1,3,6]=>[1,3,6,2,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[5,7,2,4,1,6,3]=>[1,6,2,4,3,5,7]=>{{1},{2,3,5,6},{4},{7}}=>{{1},{2,3,5,6},{4},{7}}
[5,7,2,4,3,1,6]=>[1,6,2,4,3,5,7]=>{{1},{2,3,5,6},{4},{7}}=>{{1},{2,3,5,6},{4},{7}}
[5,7,2,4,3,6,1]=>[1,2,4,3,6,5,7]=>{{1},{2},{3,4},{5,6},{7}}=>{{1},{2},{3,4},{5,6},{7}}
[5,7,2,4,6,1,3]=>[1,3,2,4,6,5,7]=>{{1},{2,3},{4},{5,6},{7}}=>{{1},{2,3},{4},{5,6},{7}}
[5,7,2,4,6,3,1]=>[1,2,4,6,3,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[5,7,2,6,1,3,4]=>[1,3,4,2,6,5,7]=>{{1},{2,3,4},{5,6},{7}}=>{{1},{2,3,4},{5,6},{7}}
[5,7,2,6,1,4,3]=>[1,4,2,6,3,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[5,7,2,6,3,1,4]=>[1,4,2,6,3,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[5,7,2,6,3,4,1]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[5,7,2,6,4,1,3]=>[1,3,2,6,4,5,7]=>{{1},{2,3},{4,5,6},{7}}=>{{1},{2,3},{4,5,6},{7}}
[5,7,2,6,4,3,1]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[5,7,3,1,2,4,6]=>[1,2,4,6,3,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[5,7,3,1,2,6,4]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[5,7,3,1,4,2,6]=>[1,4,2,6,3,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[5,7,3,1,4,6,2]=>[1,4,6,2,3,5,7]=>{{1},{2,4},{3,5,6},{7}}=>{{1},{2,5,6},{3,4},{7}}
[5,7,3,1,6,2,4]=>[1,6,2,4,3,5,7]=>{{1},{2,3,5,6},{4},{7}}=>{{1},{2,3,5,6},{4},{7}}
[5,7,3,1,6,4,2]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[5,7,3,2,1,4,6]=>[1,4,6,2,3,5,7]=>{{1},{2,4},{3,5,6},{7}}=>{{1},{2,5,6},{3,4},{7}}
[5,7,3,2,1,6,4]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[5,7,3,2,4,1,6]=>[1,6,2,4,3,5,7]=>{{1},{2,3,5,6},{4},{7}}=>{{1},{2,3,5,6},{4},{7}}
[5,7,3,2,4,6,1]=>[1,2,4,6,3,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[5,7,3,2,6,1,4]=>[1,4,2,6,3,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[5,7,3,2,6,4,1]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[5,7,3,4,1,2,6]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[5,7,3,4,1,6,2]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[5,7,3,4,2,1,6]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[5,7,3,4,2,6,1]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[5,7,3,4,6,1,2]=>[1,2,3,4,6,5,7]=>{{1},{2},{3},{4},{5,6},{7}}=>{{1},{2},{3},{4},{5,6},{7}}
[5,7,3,4,6,2,1]=>[1,2,3,4,6,5,7]=>{{1},{2},{3},{4},{5,6},{7}}=>{{1},{2},{3},{4},{5,6},{7}}
[5,7,3,6,1,2,4]=>[1,2,4,3,6,5,7]=>{{1},{2},{3,4},{5,6},{7}}=>{{1},{2},{3,4},{5,6},{7}}
[5,7,3,6,1,4,2]=>[1,4,2,3,6,5,7]=>{{1},{2,3,4},{5,6},{7}}=>{{1},{2,3,4},{5,6},{7}}
[5,7,3,6,2,1,4]=>[1,4,2,3,6,5,7]=>{{1},{2,3,4},{5,6},{7}}=>{{1},{2,3,4},{5,6},{7}}
[5,7,3,6,2,4,1]=>[1,2,4,3,6,5,7]=>{{1},{2},{3,4},{5,6},{7}}=>{{1},{2},{3,4},{5,6},{7}}
[5,7,3,6,4,1,2]=>[1,2,3,6,4,5,7]=>{{1},{2},{3},{4,5,6},{7}}=>{{1},{2},{3},{4,5,6},{7}}
[5,7,3,6,4,2,1]=>[1,2,3,6,4,5,7]=>{{1},{2},{3},{4,5,6},{7}}=>{{1},{2},{3},{4,5,6},{7}}
[5,7,4,1,2,3,6]=>[1,2,3,6,4,5,7]=>{{1},{2},{3},{4,5,6},{7}}=>{{1},{2},{3},{4,5,6},{7}}
[5,7,4,1,2,6,3]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[5,7,4,1,3,2,6]=>[1,3,2,6,4,5,7]=>{{1},{2,3},{4,5,6},{7}}=>{{1},{2,3},{4,5,6},{7}}
[5,7,4,1,3,6,2]=>[1,3,6,2,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[5,7,4,1,6,2,3]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[5,7,4,1,6,3,2]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[5,7,4,2,1,3,6]=>[1,3,6,2,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[5,7,4,2,1,6,3]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[5,7,4,2,3,1,6]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[5,7,4,2,3,6,1]=>[1,2,3,6,4,5,7]=>{{1},{2},{3},{4,5,6},{7}}=>{{1},{2},{3},{4,5,6},{7}}
[5,7,4,2,6,1,3]=>[1,3,2,6,4,5,7]=>{{1},{2,3},{4,5,6},{7}}=>{{1},{2,3},{4,5,6},{7}}
[5,7,4,2,6,3,1]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[5,7,4,3,1,2,6]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[5,7,4,3,1,6,2]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[5,7,4,3,2,1,6]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[5,7,4,3,2,6,1]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[5,7,4,3,6,1,2]=>[1,2,3,6,4,5,7]=>{{1},{2},{3},{4,5,6},{7}}=>{{1},{2},{3},{4,5,6},{7}}
[5,7,4,3,6,2,1]=>[1,2,3,6,4,5,7]=>{{1},{2},{3},{4,5,6},{7}}=>{{1},{2},{3},{4,5,6},{7}}
[5,7,4,6,1,2,3]=>[1,2,3,4,6,5,7]=>{{1},{2},{3},{4},{5,6},{7}}=>{{1},{2},{3},{4},{5,6},{7}}
[5,7,4,6,1,3,2]=>[1,3,2,4,6,5,7]=>{{1},{2,3},{4},{5,6},{7}}=>{{1},{2,3},{4},{5,6},{7}}
[5,7,4,6,2,1,3]=>[1,3,2,4,6,5,7]=>{{1},{2,3},{4},{5,6},{7}}=>{{1},{2,3},{4},{5,6},{7}}
[5,7,4,6,2,3,1]=>[1,2,3,4,6,5,7]=>{{1},{2},{3},{4},{5,6},{7}}=>{{1},{2},{3},{4},{5,6},{7}}
[5,7,4,6,3,1,2]=>[1,2,3,4,6,5,7]=>{{1},{2},{3},{4},{5,6},{7}}=>{{1},{2},{3},{4},{5,6},{7}}
[5,7,4,6,3,2,1]=>[1,2,3,4,6,5,7]=>{{1},{2},{3},{4},{5,6},{7}}=>{{1},{2},{3},{4},{5,6},{7}}
[5,7,6,1,2,3,4]=>[1,2,3,4,5,7,6]=>{{1},{2},{3},{4},{5},{6,7}}=>{{1},{2},{3},{4},{5},{6,7}}
[5,7,6,1,2,4,3]=>[1,2,4,3,5,7,6]=>{{1},{2},{3,4},{5},{6,7}}=>{{1},{2},{3,4},{5},{6,7}}
[5,7,6,1,3,2,4]=>[1,3,2,4,5,7,6]=>{{1},{2,3},{4},{5},{6,7}}=>{{1},{2,3},{4},{5},{6,7}}
[5,7,6,1,3,4,2]=>[1,3,4,2,5,7,6]=>{{1},{2,3,4},{5},{6,7}}=>{{1},{2,3,4},{5},{6,7}}
[5,7,6,1,4,2,3]=>[1,4,2,3,5,7,6]=>{{1},{2,3,4},{5},{6,7}}=>{{1},{2,3,4},{5},{6,7}}
[5,7,6,1,4,3,2]=>[1,4,2,3,5,7,6]=>{{1},{2,3,4},{5},{6,7}}=>{{1},{2,3,4},{5},{6,7}}
[5,7,6,2,1,3,4]=>[1,3,4,2,5,7,6]=>{{1},{2,3,4},{5},{6,7}}=>{{1},{2,3,4},{5},{6,7}}
[5,7,6,2,1,4,3]=>[1,4,2,3,5,7,6]=>{{1},{2,3,4},{5},{6,7}}=>{{1},{2,3,4},{5},{6,7}}
[5,7,6,2,3,1,4]=>[1,4,2,3,5,7,6]=>{{1},{2,3,4},{5},{6,7}}=>{{1},{2,3,4},{5},{6,7}}
[5,7,6,2,3,4,1]=>[1,2,3,4,5,7,6]=>{{1},{2},{3},{4},{5},{6,7}}=>{{1},{2},{3},{4},{5},{6,7}}
[5,7,6,2,4,1,3]=>[1,3,2,4,5,7,6]=>{{1},{2,3},{4},{5},{6,7}}=>{{1},{2,3},{4},{5},{6,7}}
[5,7,6,2,4,3,1]=>[1,2,4,3,5,7,6]=>{{1},{2},{3,4},{5},{6,7}}=>{{1},{2},{3,4},{5},{6,7}}
[5,7,6,3,1,2,4]=>[1,2,4,3,5,7,6]=>{{1},{2},{3,4},{5},{6,7}}=>{{1},{2},{3,4},{5},{6,7}}
[5,7,6,3,1,4,2]=>[1,4,2,3,5,7,6]=>{{1},{2,3,4},{5},{6,7}}=>{{1},{2,3,4},{5},{6,7}}
[5,7,6,3,2,1,4]=>[1,4,2,3,5,7,6]=>{{1},{2,3,4},{5},{6,7}}=>{{1},{2,3,4},{5},{6,7}}
[5,7,6,3,2,4,1]=>[1,2,4,3,5,7,6]=>{{1},{2},{3,4},{5},{6,7}}=>{{1},{2},{3,4},{5},{6,7}}
[5,7,6,3,4,1,2]=>[1,2,3,4,5,7,6]=>{{1},{2},{3},{4},{5},{6,7}}=>{{1},{2},{3},{4},{5},{6,7}}
[5,7,6,3,4,2,1]=>[1,2,3,4,5,7,6]=>{{1},{2},{3},{4},{5},{6,7}}=>{{1},{2},{3},{4},{5},{6,7}}
[5,7,6,4,1,2,3]=>[1,2,3,4,5,7,6]=>{{1},{2},{3},{4},{5},{6,7}}=>{{1},{2},{3},{4},{5},{6,7}}
[5,7,6,4,1,3,2]=>[1,3,2,4,5,7,6]=>{{1},{2,3},{4},{5},{6,7}}=>{{1},{2,3},{4},{5},{6,7}}
[5,7,6,4,2,1,3]=>[1,3,2,4,5,7,6]=>{{1},{2,3},{4},{5},{6,7}}=>{{1},{2,3},{4},{5},{6,7}}
[5,7,6,4,2,3,1]=>[1,2,3,4,5,7,6]=>{{1},{2},{3},{4},{5},{6,7}}=>{{1},{2},{3},{4},{5},{6,7}}
[5,7,6,4,3,1,2]=>[1,2,3,4,5,7,6]=>{{1},{2},{3},{4},{5},{6,7}}=>{{1},{2},{3},{4},{5},{6,7}}
[5,7,6,4,3,2,1]=>[1,2,3,4,5,7,6]=>{{1},{2},{3},{4},{5},{6,7}}=>{{1},{2},{3},{4},{5},{6,7}}
[6,1,2,3,4,5,7]=>[1,2,3,4,5,7,6]=>{{1},{2},{3},{4},{5},{6,7}}=>{{1},{2},{3},{4},{5},{6,7}}
[6,1,2,3,4,7,5]=>[1,2,3,4,7,5,6]=>{{1},{2},{3},{4},{5,6,7}}=>{{1},{2},{3},{4},{5,6,7}}
[6,1,2,3,5,4,7]=>[1,2,3,5,4,7,6]=>{{1},{2},{3},{4,5},{6,7}}=>{{1},{2},{3},{4,5},{6,7}}
[6,1,2,3,5,7,4]=>[1,2,3,5,7,4,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[6,1,2,3,7,4,5]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[6,1,2,3,7,5,4]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[6,1,2,4,3,5,7]=>[1,2,4,3,5,7,6]=>{{1},{2},{3,4},{5},{6,7}}=>{{1},{2},{3,4},{5},{6,7}}
[6,1,2,4,3,7,5]=>[1,2,4,3,7,5,6]=>{{1},{2},{3,4},{5,6,7}}=>{{1},{2},{3,4},{5,6,7}}
[6,1,2,4,5,3,7]=>[1,2,4,5,3,7,6]=>{{1},{2},{3,4,5},{6,7}}=>{{1},{2},{3,4,5},{6,7}}
[6,1,2,4,5,7,3]=>[1,2,4,5,7,3,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[6,1,2,4,7,3,5]=>[1,2,4,7,3,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[6,1,2,4,7,5,3]=>[1,2,4,7,3,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[6,1,2,5,3,4,7]=>[1,2,5,3,4,7,6]=>{{1},{2},{3,4,5},{6,7}}=>{{1},{2},{3,4,5},{6,7}}
[6,1,2,5,3,7,4]=>[1,2,5,3,7,4,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[6,1,2,5,4,3,7]=>[1,2,5,3,7,4,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[6,1,2,5,4,7,3]=>[1,2,5,3,4,7,6]=>{{1},{2},{3,4,5},{6,7}}=>{{1},{2},{3,4,5},{6,7}}
[6,1,2,5,7,3,4]=>[1,2,5,7,3,4,6]=>{{1},{2},{3,5},{4,6,7}}=>{{1},{2},{3,6,7},{4,5}}
[6,1,2,5,7,4,3]=>[1,2,5,7,3,4,6]=>{{1},{2},{3,5},{4,6,7}}=>{{1},{2},{3,6,7},{4,5}}
[6,1,2,7,3,4,5]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[6,1,2,7,3,5,4]=>[1,2,7,3,5,4,6]=>{{1},{2},{3,4,6,7},{5}}=>{{1},{2},{3,4,6,7},{5}}
[6,1,2,7,4,3,5]=>[1,2,7,3,5,4,6]=>{{1},{2},{3,4,6,7},{5}}=>{{1},{2},{3,4,6,7},{5}}
[6,1,2,7,4,5,3]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[6,1,2,7,5,3,4]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[6,1,2,7,5,4,3]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[6,1,3,2,4,5,7]=>[1,3,2,4,5,7,6]=>{{1},{2,3},{4},{5},{6,7}}=>{{1},{2,3},{4},{5},{6,7}}
[6,1,3,2,4,7,5]=>[1,3,2,4,7,5,6]=>{{1},{2,3},{4},{5,6,7}}=>{{1},{2,3},{4},{5,6,7}}
[6,1,3,2,5,4,7]=>[1,3,2,5,4,7,6]=>{{1},{2,3},{4,5},{6,7}}=>{{1},{2,3},{4,5},{6,7}}
[6,1,3,2,5,7,4]=>[1,3,2,5,7,4,6]=>{{1},{2,3},{4,5,6,7}}=>{{1},{2,3},{4,5,6,7}}
[6,1,3,2,7,4,5]=>[1,3,2,7,4,5,6]=>{{1},{2,3},{4,5,6,7}}=>{{1},{2,3},{4,5,6,7}}
[6,1,3,2,7,5,4]=>[1,3,2,7,4,5,6]=>{{1},{2,3},{4,5,6,7}}=>{{1},{2,3},{4,5,6,7}}
[6,1,3,4,2,5,7]=>[1,3,4,2,5,7,6]=>{{1},{2,3,4},{5},{6,7}}=>{{1},{2,3,4},{5},{6,7}}
[6,1,3,4,2,7,5]=>[1,3,4,2,7,5,6]=>{{1},{2,3,4},{5,6,7}}=>{{1},{2,3,4},{5,6,7}}
[6,1,3,4,5,2,7]=>[1,3,4,5,2,7,6]=>{{1},{2,3,4,5},{6,7}}=>{{1},{2,3,4,5},{6,7}}
[6,1,3,4,5,7,2]=>[1,3,4,5,7,2,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,1,3,4,7,2,5]=>[1,3,4,7,2,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,1,3,4,7,5,2]=>[1,3,4,7,2,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,1,3,5,2,4,7]=>[1,3,5,2,4,7,6]=>{{1},{2,3,4,5},{6,7}}=>{{1},{2,3,4,5},{6,7}}
[6,1,3,5,2,7,4]=>[1,3,5,2,7,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,1,3,5,4,2,7]=>[1,3,5,2,7,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,1,3,5,4,7,2]=>[1,3,5,2,4,7,6]=>{{1},{2,3,4,5},{6,7}}=>{{1},{2,3,4,5},{6,7}}
[6,1,3,5,7,2,4]=>[1,3,5,7,2,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[6,1,3,5,7,4,2]=>[1,3,5,7,2,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[6,1,3,7,2,4,5]=>[1,3,7,2,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,1,3,7,2,5,4]=>[1,3,7,2,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[6,1,3,7,4,2,5]=>[1,3,7,2,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[6,1,3,7,4,5,2]=>[1,3,7,2,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,1,3,7,5,2,4]=>[1,3,7,2,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,1,3,7,5,4,2]=>[1,3,7,2,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,1,4,2,3,5,7]=>[1,4,2,3,5,7,6]=>{{1},{2,3,4},{5},{6,7}}=>{{1},{2,3,4},{5},{6,7}}
[6,1,4,2,3,7,5]=>[1,4,2,3,7,5,6]=>{{1},{2,3,4},{5,6,7}}=>{{1},{2,3,4},{5,6,7}}
[6,1,4,2,5,3,7]=>[1,4,2,5,3,7,6]=>{{1},{2,3,4,5},{6,7}}=>{{1},{2,3,4,5},{6,7}}
[6,1,4,2,5,7,3]=>[1,4,2,5,7,3,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,1,4,2,7,3,5]=>[1,4,2,7,3,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,1,4,2,7,5,3]=>[1,4,2,7,3,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,1,4,3,2,5,7]=>[1,4,2,5,7,3,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,1,4,3,2,7,5]=>[1,4,2,7,3,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,1,4,3,5,2,7]=>[1,4,2,7,3,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,1,4,3,5,7,2]=>[1,4,2,3,5,7,6]=>{{1},{2,3,4},{5},{6,7}}=>{{1},{2,3,4},{5},{6,7}}
[6,1,4,3,7,2,5]=>[1,4,2,5,3,7,6]=>{{1},{2,3,4,5},{6,7}}=>{{1},{2,3,4,5},{6,7}}
[6,1,4,3,7,5,2]=>[1,4,2,3,7,5,6]=>{{1},{2,3,4},{5,6,7}}=>{{1},{2,3,4},{5,6,7}}
[6,1,4,5,2,3,7]=>[1,4,5,2,3,7,6]=>{{1},{2,4},{3,5},{6,7}}=>{{1},{2,5},{3,4},{6,7}}
[6,1,4,5,2,7,3]=>[1,4,5,2,7,3,6]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[6,1,4,5,3,2,7]=>[1,4,5,2,7,3,6]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[6,1,4,5,3,7,2]=>[1,4,5,2,3,7,6]=>{{1},{2,4},{3,5},{6,7}}=>{{1},{2,5},{3,4},{6,7}}
[6,1,4,5,7,2,3]=>[1,4,5,7,2,3,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,1,4,5,7,3,2]=>[1,4,5,7,2,3,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,1,4,7,2,3,5]=>[1,4,7,2,3,5,6]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[6,1,4,7,2,5,3]=>[1,4,7,2,5,3,6]=>{{1},{2,4},{3,6,7},{5}}=>{{1},{2,6,7},{3,4},{5}}
[6,1,4,7,3,2,5]=>[1,4,7,2,5,3,6]=>{{1},{2,4},{3,6,7},{5}}=>{{1},{2,6,7},{3,4},{5}}
[6,1,4,7,3,5,2]=>[1,4,7,2,3,5,6]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[6,1,4,7,5,2,3]=>[1,4,7,2,3,5,6]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[6,1,4,7,5,3,2]=>[1,4,7,2,3,5,6]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[6,1,5,2,3,4,7]=>[1,5,2,3,4,7,6]=>{{1},{2,3,4,5},{6,7}}=>{{1},{2,3,4,5},{6,7}}
[6,1,5,2,3,7,4]=>[1,5,2,3,7,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,1,5,2,4,3,7]=>[1,5,2,4,3,7,6]=>{{1},{2,3,5},{4},{6,7}}=>{{1},{2,3,5},{4},{6,7}}
[6,1,5,2,4,7,3]=>[1,5,2,4,7,3,6]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[6,1,5,2,7,3,4]=>[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[6,1,5,2,7,4,3]=>[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[6,1,5,3,2,4,7]=>[1,5,2,4,7,3,6]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[6,1,5,3,2,7,4]=>[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[6,1,5,3,4,2,7]=>[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[6,1,5,3,4,7,2]=>[1,5,2,3,4,7,6]=>{{1},{2,3,4,5},{6,7}}=>{{1},{2,3,4,5},{6,7}}
[6,1,5,3,7,2,4]=>[1,5,2,4,3,7,6]=>{{1},{2,3,5},{4},{6,7}}=>{{1},{2,3,5},{4},{6,7}}
[6,1,5,3,7,4,2]=>[1,5,2,3,7,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,1,5,4,2,3,7]=>[1,5,2,3,7,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,1,5,4,2,7,3]=>[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[6,1,5,4,3,2,7]=>[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[6,1,5,4,3,7,2]=>[1,5,2,3,7,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,1,5,4,7,2,3]=>[1,5,2,3,4,7,6]=>{{1},{2,3,4,5},{6,7}}=>{{1},{2,3,4,5},{6,7}}
[6,1,5,4,7,3,2]=>[1,5,2,3,4,7,6]=>{{1},{2,3,4,5},{6,7}}=>{{1},{2,3,4,5},{6,7}}
[6,1,5,7,2,3,4]=>[1,5,7,2,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,1,5,7,2,4,3]=>[1,5,7,2,4,3,6]=>{{1},{2,4,5},{3,6,7}}=>{{1},{2,5},{3,4,6,7}}
[6,1,5,7,3,2,4]=>[1,5,7,2,4,3,6]=>{{1},{2,4,5},{3,6,7}}=>{{1},{2,5},{3,4,6,7}}
[6,1,5,7,3,4,2]=>[1,5,7,2,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,1,5,7,4,2,3]=>[1,5,7,2,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,1,5,7,4,3,2]=>[1,5,7,2,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,1,7,2,3,4,5]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,1,7,2,3,5,4]=>[1,7,2,3,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[6,1,7,2,4,3,5]=>[1,7,2,4,3,5,6]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[6,1,7,2,4,5,3]=>[1,7,2,4,5,3,6]=>{{1},{2,3,6,7},{4},{5}}=>{{1},{2,3,6,7},{4},{5}}
[6,1,7,2,5,3,4]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,1,7,2,5,4,3]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,1,7,3,2,4,5]=>[1,7,2,4,5,3,6]=>{{1},{2,3,6,7},{4},{5}}=>{{1},{2,3,6,7},{4},{5}}
[6,1,7,3,2,5,4]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,1,7,3,4,2,5]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,1,7,3,4,5,2]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,1,7,3,5,2,4]=>[1,7,2,4,3,5,6]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[6,1,7,3,5,4,2]=>[1,7,2,3,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[6,1,7,4,2,3,5]=>[1,7,2,3,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[6,1,7,4,2,5,3]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,1,7,4,3,2,5]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,1,7,4,3,5,2]=>[1,7,2,3,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[6,1,7,4,5,2,3]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,1,7,4,5,3,2]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,1,7,5,2,3,4]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,1,7,5,2,4,3]=>[1,7,2,4,3,5,6]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[6,1,7,5,3,2,4]=>[1,7,2,4,3,5,6]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[6,1,7,5,3,4,2]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,1,7,5,4,2,3]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,1,7,5,4,3,2]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,2,1,3,4,5,7]=>[1,3,4,5,7,2,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,2,1,3,4,7,5]=>[1,3,4,7,2,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,2,1,3,5,4,7]=>[1,3,5,2,4,7,6]=>{{1},{2,3,4,5},{6,7}}=>{{1},{2,3,4,5},{6,7}}
[6,2,1,3,5,7,4]=>[1,3,5,7,2,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[6,2,1,3,7,4,5]=>[1,3,7,2,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,2,1,3,7,5,4]=>[1,3,7,2,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,2,1,4,3,5,7]=>[1,4,2,3,5,7,6]=>{{1},{2,3,4},{5},{6,7}}=>{{1},{2,3,4},{5},{6,7}}
[6,2,1,4,3,7,5]=>[1,4,2,3,7,5,6]=>{{1},{2,3,4},{5,6,7}}=>{{1},{2,3,4},{5,6,7}}
[6,2,1,4,5,3,7]=>[1,4,5,2,3,7,6]=>{{1},{2,4},{3,5},{6,7}}=>{{1},{2,5},{3,4},{6,7}}
[6,2,1,4,5,7,3]=>[1,4,5,7,2,3,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,2,1,4,7,3,5]=>[1,4,7,2,3,5,6]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[6,2,1,4,7,5,3]=>[1,4,7,2,3,5,6]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[6,2,1,5,3,4,7]=>[1,5,2,3,4,7,6]=>{{1},{2,3,4,5},{6,7}}=>{{1},{2,3,4,5},{6,7}}
[6,2,1,5,3,7,4]=>[1,5,2,3,7,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,2,1,5,4,3,7]=>[1,5,2,3,7,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,2,1,5,4,7,3]=>[1,5,2,3,4,7,6]=>{{1},{2,3,4,5},{6,7}}=>{{1},{2,3,4,5},{6,7}}
[6,2,1,5,7,3,4]=>[1,5,7,2,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,2,1,5,7,4,3]=>[1,5,7,2,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,2,1,7,3,4,5]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,2,1,7,3,5,4]=>[1,7,2,3,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[6,2,1,7,4,3,5]=>[1,7,2,3,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[6,2,1,7,4,5,3]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,2,1,7,5,3,4]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,2,1,7,5,4,3]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,2,3,1,4,5,7]=>[1,4,5,7,2,3,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,2,3,1,4,7,5]=>[1,4,7,2,3,5,6]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[6,2,3,1,5,4,7]=>[1,5,2,3,4,7,6]=>{{1},{2,3,4,5},{6,7}}=>{{1},{2,3,4,5},{6,7}}
[6,2,3,1,5,7,4]=>[1,5,7,2,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,2,3,1,7,4,5]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,2,3,1,7,5,4]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,2,3,4,1,5,7]=>[1,5,7,2,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,2,3,4,1,7,5]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,2,3,4,5,1,7]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,2,3,4,5,7,1]=>[1,2,3,4,5,7,6]=>{{1},{2},{3},{4},{5},{6,7}}=>{{1},{2},{3},{4},{5},{6,7}}
[6,2,3,4,7,1,5]=>[1,5,2,3,4,7,6]=>{{1},{2,3,4,5},{6,7}}=>{{1},{2,3,4,5},{6,7}}
[6,2,3,4,7,5,1]=>[1,2,3,4,7,5,6]=>{{1},{2},{3},{4},{5,6,7}}=>{{1},{2},{3},{4},{5,6,7}}
[6,2,3,5,1,4,7]=>[1,4,7,2,3,5,6]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[6,2,3,5,1,7,4]=>[1,7,2,3,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[6,2,3,5,4,1,7]=>[1,7,2,3,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[6,2,3,5,4,7,1]=>[1,2,3,5,4,7,6]=>{{1},{2},{3},{4,5},{6,7}}=>{{1},{2},{3},{4,5},{6,7}}
[6,2,3,5,7,1,4]=>[1,4,2,3,5,7,6]=>{{1},{2,3,4},{5},{6,7}}=>{{1},{2,3,4},{5},{6,7}}
[6,2,3,5,7,4,1]=>[1,2,3,5,7,4,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[6,2,3,7,1,4,5]=>[1,4,5,2,3,7,6]=>{{1},{2,4},{3,5},{6,7}}=>{{1},{2,5},{3,4},{6,7}}
[6,2,3,7,1,5,4]=>[1,5,2,3,7,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,2,3,7,4,1,5]=>[1,5,2,3,7,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,2,3,7,4,5,1]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[6,2,3,7,5,1,4]=>[1,4,2,3,7,5,6]=>{{1},{2,3,4},{5,6,7}}=>{{1},{2,3,4},{5,6,7}}
[6,2,3,7,5,4,1]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[6,2,4,1,3,5,7]=>[1,3,5,7,2,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[6,2,4,1,3,7,5]=>[1,3,7,2,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,2,4,1,5,3,7]=>[1,5,2,4,3,7,6]=>{{1},{2,3,5},{4},{6,7}}=>{{1},{2,3,5},{4},{6,7}}
[6,2,4,1,5,7,3]=>[1,5,7,2,4,3,6]=>{{1},{2,4,5},{3,6,7}}=>{{1},{2,5},{3,4,6,7}}
[6,2,4,1,7,3,5]=>[1,7,2,4,3,5,6]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[6,2,4,1,7,5,3]=>[1,7,2,4,3,5,6]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[6,2,4,3,1,5,7]=>[1,5,7,2,4,3,6]=>{{1},{2,4,5},{3,6,7}}=>{{1},{2,5},{3,4,6,7}}
[6,2,4,3,1,7,5]=>[1,7,2,4,3,5,6]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[6,2,4,3,5,1,7]=>[1,7,2,4,3,5,6]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[6,2,4,3,5,7,1]=>[1,2,4,3,5,7,6]=>{{1},{2},{3,4},{5},{6,7}}=>{{1},{2},{3,4},{5},{6,7}}
[6,2,4,3,7,1,5]=>[1,5,2,4,3,7,6]=>{{1},{2,3,5},{4},{6,7}}=>{{1},{2,3,5},{4},{6,7}}
[6,2,4,3,7,5,1]=>[1,2,4,3,7,5,6]=>{{1},{2},{3,4},{5,6,7}}=>{{1},{2},{3,4},{5,6,7}}
[6,2,4,5,1,3,7]=>[1,3,7,2,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,2,4,5,1,7,3]=>[1,7,2,4,5,3,6]=>{{1},{2,3,6,7},{4},{5}}=>{{1},{2,3,6,7},{4},{5}}
[6,2,4,5,3,1,7]=>[1,7,2,4,5,3,6]=>{{1},{2,3,6,7},{4},{5}}=>{{1},{2,3,6,7},{4},{5}}
[6,2,4,5,3,7,1]=>[1,2,4,5,3,7,6]=>{{1},{2},{3,4,5},{6,7}}=>{{1},{2},{3,4,5},{6,7}}
[6,2,4,5,7,1,3]=>[1,3,2,4,5,7,6]=>{{1},{2,3},{4},{5},{6,7}}=>{{1},{2,3},{4},{5},{6,7}}
[6,2,4,5,7,3,1]=>[1,2,4,5,7,3,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[6,2,4,7,1,3,5]=>[1,3,5,2,4,7,6]=>{{1},{2,3,4,5},{6,7}}=>{{1},{2,3,4,5},{6,7}}
[6,2,4,7,1,5,3]=>[1,5,2,4,7,3,6]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[6,2,4,7,3,1,5]=>[1,5,2,4,7,3,6]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[6,2,4,7,3,5,1]=>[1,2,4,7,3,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[6,2,4,7,5,1,3]=>[1,3,2,4,7,5,6]=>{{1},{2,3},{4},{5,6,7}}=>{{1},{2,3},{4},{5,6,7}}
[6,2,4,7,5,3,1]=>[1,2,4,7,3,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[6,2,5,1,3,4,7]=>[1,3,4,7,2,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,2,5,1,3,7,4]=>[1,3,7,2,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[6,2,5,1,4,3,7]=>[1,4,2,5,3,7,6]=>{{1},{2,3,4,5},{6,7}}=>{{1},{2,3,4,5},{6,7}}
[6,2,5,1,4,7,3]=>[1,4,7,2,5,3,6]=>{{1},{2,4},{3,6,7},{5}}=>{{1},{2,6,7},{3,4},{5}}
[6,2,5,1,7,3,4]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,2,5,1,7,4,3]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,2,5,3,1,4,7]=>[1,4,7,2,5,3,6]=>{{1},{2,4},{3,6,7},{5}}=>{{1},{2,6,7},{3,4},{5}}
[6,2,5,3,1,7,4]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,2,5,3,4,1,7]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,2,5,3,4,7,1]=>[1,2,5,3,4,7,6]=>{{1},{2},{3,4,5},{6,7}}=>{{1},{2},{3,4,5},{6,7}}
[6,2,5,3,7,1,4]=>[1,4,2,5,3,7,6]=>{{1},{2,3,4,5},{6,7}}=>{{1},{2,3,4,5},{6,7}}
[6,2,5,3,7,4,1]=>[1,2,5,3,7,4,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[6,2,5,4,1,3,7]=>[1,3,7,2,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[6,2,5,4,1,7,3]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,2,5,4,3,1,7]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,2,5,4,3,7,1]=>[1,2,5,3,7,4,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[6,2,5,4,7,1,3]=>[1,3,2,5,4,7,6]=>{{1},{2,3},{4,5},{6,7}}=>{{1},{2,3},{4,5},{6,7}}
[6,2,5,4,7,3,1]=>[1,2,5,3,4,7,6]=>{{1},{2},{3,4,5},{6,7}}=>{{1},{2},{3,4,5},{6,7}}
[6,2,5,7,1,3,4]=>[1,3,4,2,5,7,6]=>{{1},{2,3,4},{5},{6,7}}=>{{1},{2,3,4},{5},{6,7}}
[6,2,5,7,1,4,3]=>[1,4,2,5,7,3,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,2,5,7,3,1,4]=>[1,4,2,5,7,3,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,2,5,7,3,4,1]=>[1,2,5,7,3,4,6]=>{{1},{2},{3,5},{4,6,7}}=>{{1},{2},{3,6,7},{4,5}}
[6,2,5,7,4,1,3]=>[1,3,2,5,7,4,6]=>{{1},{2,3},{4,5,6,7}}=>{{1},{2,3},{4,5,6,7}}
[6,2,5,7,4,3,1]=>[1,2,5,7,3,4,6]=>{{1},{2},{3,5},{4,6,7}}=>{{1},{2},{3,6,7},{4,5}}
[6,2,7,1,3,4,5]=>[1,3,4,5,2,7,6]=>{{1},{2,3,4,5},{6,7}}=>{{1},{2,3,4,5},{6,7}}
[6,2,7,1,3,5,4]=>[1,3,5,2,7,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,2,7,1,4,3,5]=>[1,4,2,7,3,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,2,7,1,4,5,3]=>[1,4,5,2,7,3,6]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[6,2,7,1,5,3,4]=>[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[6,2,7,1,5,4,3]=>[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[6,2,7,3,1,4,5]=>[1,4,5,2,7,3,6]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[6,2,7,3,1,5,4]=>[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[6,2,7,3,4,1,5]=>[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[6,2,7,3,4,5,1]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[6,2,7,3,5,1,4]=>[1,4,2,7,3,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,2,7,3,5,4,1]=>[1,2,7,3,5,4,6]=>{{1},{2},{3,4,6,7},{5}}=>{{1},{2},{3,4,6,7},{5}}
[6,2,7,4,1,3,5]=>[1,3,5,2,7,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,2,7,4,1,5,3]=>[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[6,2,7,4,3,1,5]=>[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[6,2,7,4,3,5,1]=>[1,2,7,3,5,4,6]=>{{1},{2},{3,4,6,7},{5}}=>{{1},{2},{3,4,6,7},{5}}
[6,2,7,4,5,1,3]=>[1,3,2,7,4,5,6]=>{{1},{2,3},{4,5,6,7}}=>{{1},{2,3},{4,5,6,7}}
[6,2,7,4,5,3,1]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[6,2,7,5,1,3,4]=>[1,3,4,2,7,5,6]=>{{1},{2,3,4},{5,6,7}}=>{{1},{2,3,4},{5,6,7}}
[6,2,7,5,1,4,3]=>[1,4,2,7,3,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,2,7,5,3,1,4]=>[1,4,2,7,3,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,2,7,5,3,4,1]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[6,2,7,5,4,1,3]=>[1,3,2,7,4,5,6]=>{{1},{2,3},{4,5,6,7}}=>{{1},{2,3},{4,5,6,7}}
[6,2,7,5,4,3,1]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[6,3,1,2,4,5,7]=>[1,2,4,5,7,3,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[6,3,1,2,4,7,5]=>[1,2,4,7,3,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[6,3,1,2,5,4,7]=>[1,2,5,3,4,7,6]=>{{1},{2},{3,4,5},{6,7}}=>{{1},{2},{3,4,5},{6,7}}
[6,3,1,2,5,7,4]=>[1,2,5,7,3,4,6]=>{{1},{2},{3,5},{4,6,7}}=>{{1},{2},{3,6,7},{4,5}}
[6,3,1,2,7,4,5]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[6,3,1,2,7,5,4]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[6,3,1,4,2,5,7]=>[1,4,2,5,7,3,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,3,1,4,2,7,5]=>[1,4,2,7,3,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,3,1,4,5,2,7]=>[1,4,5,2,7,3,6]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[6,3,1,4,5,7,2]=>[1,4,5,7,2,3,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,3,1,4,7,2,5]=>[1,4,7,2,5,3,6]=>{{1},{2,4},{3,6,7},{5}}=>{{1},{2,6,7},{3,4},{5}}
[6,3,1,4,7,5,2]=>[1,4,7,2,3,5,6]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[6,3,1,5,2,4,7]=>[1,5,2,4,7,3,6]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[6,3,1,5,2,7,4]=>[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[6,3,1,5,4,2,7]=>[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[6,3,1,5,4,7,2]=>[1,5,2,3,4,7,6]=>{{1},{2,3,4,5},{6,7}}=>{{1},{2,3,4,5},{6,7}}
[6,3,1,5,7,2,4]=>[1,5,7,2,4,3,6]=>{{1},{2,4,5},{3,6,7}}=>{{1},{2,5},{3,4,6,7}}
[6,3,1,5,7,4,2]=>[1,5,7,2,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,3,1,7,2,4,5]=>[1,7,2,4,5,3,6]=>{{1},{2,3,6,7},{4},{5}}=>{{1},{2,3,6,7},{4},{5}}
[6,3,1,7,2,5,4]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,3,1,7,4,2,5]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,3,1,7,4,5,2]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,3,1,7,5,2,4]=>[1,7,2,4,3,5,6]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[6,3,1,7,5,4,2]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,3,2,1,4,5,7]=>[1,4,5,7,2,3,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,3,2,1,4,7,5]=>[1,4,7,2,3,5,6]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[6,3,2,1,5,4,7]=>[1,5,2,3,4,7,6]=>{{1},{2,3,4,5},{6,7}}=>{{1},{2,3,4,5},{6,7}}
[6,3,2,1,5,7,4]=>[1,5,7,2,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,3,2,1,7,4,5]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,3,2,1,7,5,4]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,3,2,4,1,5,7]=>[1,5,7,2,4,3,6]=>{{1},{2,4,5},{3,6,7}}=>{{1},{2,5},{3,4,6,7}}
[6,3,2,4,1,7,5]=>[1,7,2,4,3,5,6]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[6,3,2,4,5,1,7]=>[1,7,2,4,5,3,6]=>{{1},{2,3,6,7},{4},{5}}=>{{1},{2,3,6,7},{4},{5}}
[6,3,2,4,5,7,1]=>[1,2,4,5,7,3,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[6,3,2,4,7,1,5]=>[1,5,2,4,7,3,6]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[6,3,2,4,7,5,1]=>[1,2,4,7,3,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[6,3,2,5,1,4,7]=>[1,4,7,2,5,3,6]=>{{1},{2,4},{3,6,7},{5}}=>{{1},{2,6,7},{3,4},{5}}
[6,3,2,5,1,7,4]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,3,2,5,4,1,7]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,3,2,5,4,7,1]=>[1,2,5,3,4,7,6]=>{{1},{2},{3,4,5},{6,7}}=>{{1},{2},{3,4,5},{6,7}}
[6,3,2,5,7,1,4]=>[1,4,2,5,7,3,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,3,2,5,7,4,1]=>[1,2,5,7,3,4,6]=>{{1},{2},{3,5},{4,6,7}}=>{{1},{2},{3,6,7},{4,5}}
[6,3,2,7,1,4,5]=>[1,4,5,2,7,3,6]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[6,3,2,7,1,5,4]=>[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[6,3,2,7,4,1,5]=>[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[6,3,2,7,4,5,1]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[6,3,2,7,5,1,4]=>[1,4,2,7,3,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,3,2,7,5,4,1]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[6,3,4,1,2,5,7]=>[1,2,5,7,3,4,6]=>{{1},{2},{3,5},{4,6,7}}=>{{1},{2},{3,6,7},{4,5}}
[6,3,4,1,2,7,5]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[6,3,4,1,5,2,7]=>[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[6,3,4,1,5,7,2]=>[1,5,7,2,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,3,4,1,7,2,5]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,3,4,1,7,5,2]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,3,4,2,1,5,7]=>[1,5,7,2,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,3,4,2,1,7,5]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,3,4,2,5,1,7]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,3,4,2,5,7,1]=>[1,2,5,7,3,4,6]=>{{1},{2},{3,5},{4,6,7}}=>{{1},{2},{3,6,7},{4,5}}
[6,3,4,2,7,1,5]=>[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[6,3,4,2,7,5,1]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[6,3,4,5,1,2,7]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[6,3,4,5,1,7,2]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,3,4,5,2,1,7]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,3,4,5,2,7,1]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[6,3,4,5,7,1,2]=>[1,2,3,4,5,7,6]=>{{1},{2},{3},{4},{5},{6,7}}=>{{1},{2},{3},{4},{5},{6,7}}
[6,3,4,5,7,2,1]=>[1,2,3,4,5,7,6]=>{{1},{2},{3},{4},{5},{6,7}}=>{{1},{2},{3},{4},{5},{6,7}}
[6,3,4,7,1,2,5]=>[1,2,5,3,4,7,6]=>{{1},{2},{3,4,5},{6,7}}=>{{1},{2},{3,4,5},{6,7}}
[6,3,4,7,1,5,2]=>[1,5,2,3,4,7,6]=>{{1},{2,3,4,5},{6,7}}=>{{1},{2,3,4,5},{6,7}}
[6,3,4,7,2,1,5]=>[1,5,2,3,4,7,6]=>{{1},{2,3,4,5},{6,7}}=>{{1},{2,3,4,5},{6,7}}
[6,3,4,7,2,5,1]=>[1,2,5,3,4,7,6]=>{{1},{2},{3,4,5},{6,7}}=>{{1},{2},{3,4,5},{6,7}}
[6,3,4,7,5,1,2]=>[1,2,3,4,7,5,6]=>{{1},{2},{3},{4},{5,6,7}}=>{{1},{2},{3},{4},{5,6,7}}
[6,3,4,7,5,2,1]=>[1,2,3,4,7,5,6]=>{{1},{2},{3},{4},{5,6,7}}=>{{1},{2},{3},{4},{5,6,7}}
[6,3,5,1,2,4,7]=>[1,2,4,7,3,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[6,3,5,1,2,7,4]=>[1,2,7,3,5,4,6]=>{{1},{2},{3,4,6,7},{5}}=>{{1},{2},{3,4,6,7},{5}}
[6,3,5,1,4,2,7]=>[1,4,2,7,3,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,3,5,1,4,7,2]=>[1,4,7,2,3,5,6]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[6,3,5,1,7,2,4]=>[1,7,2,4,3,5,6]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[6,3,5,1,7,4,2]=>[1,7,2,3,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[6,3,5,2,1,4,7]=>[1,4,7,2,3,5,6]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[6,3,5,2,1,7,4]=>[1,7,2,3,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[6,3,5,2,4,1,7]=>[1,7,2,4,3,5,6]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[6,3,5,2,4,7,1]=>[1,2,4,7,3,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[6,3,5,2,7,1,4]=>[1,4,2,7,3,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,3,5,2,7,4,1]=>[1,2,7,3,5,4,6]=>{{1},{2},{3,4,6,7},{5}}=>{{1},{2},{3,4,6,7},{5}}
[6,3,5,4,1,2,7]=>[1,2,7,3,5,4,6]=>{{1},{2},{3,4,6,7},{5}}=>{{1},{2},{3,4,6,7},{5}}
[6,3,5,4,1,7,2]=>[1,7,2,3,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[6,3,5,4,2,1,7]=>[1,7,2,3,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[6,3,5,4,2,7,1]=>[1,2,7,3,5,4,6]=>{{1},{2},{3,4,6,7},{5}}=>{{1},{2},{3,4,6,7},{5}}
[6,3,5,4,7,1,2]=>[1,2,3,5,4,7,6]=>{{1},{2},{3},{4,5},{6,7}}=>{{1},{2},{3},{4,5},{6,7}}
[6,3,5,4,7,2,1]=>[1,2,3,5,4,7,6]=>{{1},{2},{3},{4,5},{6,7}}=>{{1},{2},{3},{4,5},{6,7}}
[6,3,5,7,1,2,4]=>[1,2,4,3,5,7,6]=>{{1},{2},{3,4},{5},{6,7}}=>{{1},{2},{3,4},{5},{6,7}}
[6,3,5,7,1,4,2]=>[1,4,2,3,5,7,6]=>{{1},{2,3,4},{5},{6,7}}=>{{1},{2,3,4},{5},{6,7}}
[6,3,5,7,2,1,4]=>[1,4,2,3,5,7,6]=>{{1},{2,3,4},{5},{6,7}}=>{{1},{2,3,4},{5},{6,7}}
[6,3,5,7,2,4,1]=>[1,2,4,3,5,7,6]=>{{1},{2},{3,4},{5},{6,7}}=>{{1},{2},{3,4},{5},{6,7}}
[6,3,5,7,4,1,2]=>[1,2,3,5,7,4,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[6,3,5,7,4,2,1]=>[1,2,3,5,7,4,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[6,3,7,1,2,4,5]=>[1,2,4,5,3,7,6]=>{{1},{2},{3,4,5},{6,7}}=>{{1},{2},{3,4,5},{6,7}}
[6,3,7,1,2,5,4]=>[1,2,5,3,7,4,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[6,3,7,1,4,2,5]=>[1,4,2,5,3,7,6]=>{{1},{2,3,4,5},{6,7}}=>{{1},{2,3,4,5},{6,7}}
[6,3,7,1,4,5,2]=>[1,4,5,2,3,7,6]=>{{1},{2,4},{3,5},{6,7}}=>{{1},{2,5},{3,4},{6,7}}
[6,3,7,1,5,2,4]=>[1,5,2,4,3,7,6]=>{{1},{2,3,5},{4},{6,7}}=>{{1},{2,3,5},{4},{6,7}}
[6,3,7,1,5,4,2]=>[1,5,2,3,7,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,3,7,2,1,4,5]=>[1,4,5,2,3,7,6]=>{{1},{2,4},{3,5},{6,7}}=>{{1},{2,5},{3,4},{6,7}}
[6,3,7,2,1,5,4]=>[1,5,2,3,7,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,3,7,2,4,1,5]=>[1,5,2,4,3,7,6]=>{{1},{2,3,5},{4},{6,7}}=>{{1},{2,3,5},{4},{6,7}}
[6,3,7,2,4,5,1]=>[1,2,4,5,3,7,6]=>{{1},{2},{3,4,5},{6,7}}=>{{1},{2},{3,4,5},{6,7}}
[6,3,7,2,5,1,4]=>[1,4,2,5,3,7,6]=>{{1},{2,3,4,5},{6,7}}=>{{1},{2,3,4,5},{6,7}}
[6,3,7,2,5,4,1]=>[1,2,5,3,7,4,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[6,3,7,4,1,2,5]=>[1,2,5,3,7,4,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[6,3,7,4,1,5,2]=>[1,5,2,3,7,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,3,7,4,2,1,5]=>[1,5,2,3,7,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,3,7,4,2,5,1]=>[1,2,5,3,7,4,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[6,3,7,4,5,1,2]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[6,3,7,4,5,2,1]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[6,3,7,5,1,2,4]=>[1,2,4,3,7,5,6]=>{{1},{2},{3,4},{5,6,7}}=>{{1},{2},{3,4},{5,6,7}}
[6,3,7,5,1,4,2]=>[1,4,2,3,7,5,6]=>{{1},{2,3,4},{5,6,7}}=>{{1},{2,3,4},{5,6,7}}
[6,3,7,5,2,1,4]=>[1,4,2,3,7,5,6]=>{{1},{2,3,4},{5,6,7}}=>{{1},{2,3,4},{5,6,7}}
[6,3,7,5,2,4,1]=>[1,2,4,3,7,5,6]=>{{1},{2},{3,4},{5,6,7}}=>{{1},{2},{3,4},{5,6,7}}
[6,3,7,5,4,1,2]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[6,3,7,5,4,2,1]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[6,4,1,2,3,5,7]=>[1,2,3,5,7,4,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[6,4,1,2,3,7,5]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[6,4,1,2,5,3,7]=>[1,2,5,3,7,4,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[6,4,1,2,5,7,3]=>[1,2,5,7,3,4,6]=>{{1},{2},{3,5},{4,6,7}}=>{{1},{2},{3,6,7},{4,5}}
[6,4,1,2,7,3,5]=>[1,2,7,3,5,4,6]=>{{1},{2},{3,4,6,7},{5}}=>{{1},{2},{3,4,6,7},{5}}
[6,4,1,2,7,5,3]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[6,4,1,3,2,5,7]=>[1,3,2,5,7,4,6]=>{{1},{2,3},{4,5,6,7}}=>{{1},{2,3},{4,5,6,7}}
[6,4,1,3,2,7,5]=>[1,3,2,7,4,5,6]=>{{1},{2,3},{4,5,6,7}}=>{{1},{2,3},{4,5,6,7}}
[6,4,1,3,5,2,7]=>[1,3,5,2,7,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,4,1,3,5,7,2]=>[1,3,5,7,2,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[6,4,1,3,7,2,5]=>[1,3,7,2,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[6,4,1,3,7,5,2]=>[1,3,7,2,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,4,1,5,2,3,7]=>[1,5,2,3,7,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,4,1,5,2,7,3]=>[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[6,4,1,5,3,2,7]=>[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[6,4,1,5,3,7,2]=>[1,5,2,3,7,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,4,1,5,7,2,3]=>[1,5,7,2,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,4,1,5,7,3,2]=>[1,5,7,2,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,4,1,7,2,3,5]=>[1,7,2,3,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[6,4,1,7,2,5,3]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,4,1,7,3,2,5]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,4,1,7,3,5,2]=>[1,7,2,3,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[6,4,1,7,5,2,3]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,4,1,7,5,3,2]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,4,2,1,3,5,7]=>[1,3,5,7,2,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[6,4,2,1,3,7,5]=>[1,3,7,2,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,4,2,1,5,3,7]=>[1,5,2,3,7,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,4,2,1,5,7,3]=>[1,5,7,2,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,4,2,1,7,3,5]=>[1,7,2,3,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[6,4,2,1,7,5,3]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,4,2,3,1,5,7]=>[1,5,7,2,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,4,2,3,1,7,5]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,4,2,3,5,1,7]=>[1,7,2,3,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[6,4,2,3,5,7,1]=>[1,2,3,5,7,4,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[6,4,2,3,7,1,5]=>[1,5,2,3,7,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,4,2,3,7,5,1]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[6,4,2,5,1,3,7]=>[1,3,7,2,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[6,4,2,5,1,7,3]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,4,2,5,3,1,7]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,4,2,5,3,7,1]=>[1,2,5,3,7,4,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[6,4,2,5,7,1,3]=>[1,3,2,5,7,4,6]=>{{1},{2,3},{4,5,6,7}}=>{{1},{2,3},{4,5,6,7}}
[6,4,2,5,7,3,1]=>[1,2,5,7,3,4,6]=>{{1},{2},{3,5},{4,6,7}}=>{{1},{2},{3,6,7},{4,5}}
[6,4,2,7,1,3,5]=>[1,3,5,2,7,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,4,2,7,1,5,3]=>[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[6,4,2,7,3,1,5]=>[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[6,4,2,7,3,5,1]=>[1,2,7,3,5,4,6]=>{{1},{2},{3,4,6,7},{5}}=>{{1},{2},{3,4,6,7},{5}}
[6,4,2,7,5,1,3]=>[1,3,2,7,4,5,6]=>{{1},{2,3},{4,5,6,7}}=>{{1},{2,3},{4,5,6,7}}
[6,4,2,7,5,3,1]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[6,4,3,1,2,5,7]=>[1,2,5,7,3,4,6]=>{{1},{2},{3,5},{4,6,7}}=>{{1},{2},{3,6,7},{4,5}}
[6,4,3,1,2,7,5]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[6,4,3,1,5,2,7]=>[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[6,4,3,1,5,7,2]=>[1,5,7,2,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,4,3,1,7,2,5]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,4,3,1,7,5,2]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,4,3,2,1,5,7]=>[1,5,7,2,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,4,3,2,1,7,5]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,4,3,2,5,1,7]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,4,3,2,5,7,1]=>[1,2,5,7,3,4,6]=>{{1},{2},{3,5},{4,6,7}}=>{{1},{2},{3,6,7},{4,5}}
[6,4,3,2,7,1,5]=>[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
[6,4,3,2,7,5,1]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[6,4,3,5,1,2,7]=>[1,2,7,3,5,4,6]=>{{1},{2},{3,4,6,7},{5}}=>{{1},{2},{3,4,6,7},{5}}
[6,4,3,5,1,7,2]=>[1,7,2,3,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[6,4,3,5,2,1,7]=>[1,7,2,3,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
[6,4,3,5,2,7,1]=>[1,2,7,3,5,4,6]=>{{1},{2},{3,4,6,7},{5}}=>{{1},{2},{3,4,6,7},{5}}
[6,4,3,5,7,1,2]=>[1,2,3,5,7,4,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[6,4,3,5,7,2,1]=>[1,2,3,5,7,4,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[6,4,3,7,1,2,5]=>[1,2,5,3,7,4,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[6,4,3,7,1,5,2]=>[1,5,2,3,7,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,4,3,7,2,1,5]=>[1,5,2,3,7,4,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,4,3,7,2,5,1]=>[1,2,5,3,7,4,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[6,4,3,7,5,1,2]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[6,4,3,7,5,2,1]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[6,4,5,1,2,3,7]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[6,4,5,1,2,7,3]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[6,4,5,1,3,2,7]=>[1,3,2,7,4,5,6]=>{{1},{2,3},{4,5,6,7}}=>{{1},{2,3},{4,5,6,7}}
[6,4,5,1,3,7,2]=>[1,3,7,2,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,4,5,1,7,2,3]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,4,5,1,7,3,2]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,4,5,2,1,3,7]=>[1,3,7,2,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,4,5,2,1,7,3]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,4,5,2,3,1,7]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,4,5,2,3,7,1]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[6,4,5,2,7,1,3]=>[1,3,2,7,4,5,6]=>{{1},{2,3},{4,5,6,7}}=>{{1},{2,3},{4,5,6,7}}
[6,4,5,2,7,3,1]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[6,4,5,3,1,2,7]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[6,4,5,3,1,7,2]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,4,5,3,2,1,7]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,4,5,3,2,7,1]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[6,4,5,3,7,1,2]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[6,4,5,3,7,2,1]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[6,4,5,7,1,2,3]=>[1,2,3,4,5,7,6]=>{{1},{2},{3},{4},{5},{6,7}}=>{{1},{2},{3},{4},{5},{6,7}}
[6,4,5,7,1,3,2]=>[1,3,2,4,5,7,6]=>{{1},{2,3},{4},{5},{6,7}}=>{{1},{2,3},{4},{5},{6,7}}
[6,4,5,7,2,1,3]=>[1,3,2,4,5,7,6]=>{{1},{2,3},{4},{5},{6,7}}=>{{1},{2,3},{4},{5},{6,7}}
[6,4,5,7,2,3,1]=>[1,2,3,4,5,7,6]=>{{1},{2},{3},{4},{5},{6,7}}=>{{1},{2},{3},{4},{5},{6,7}}
[6,4,5,7,3,1,2]=>[1,2,3,4,5,7,6]=>{{1},{2},{3},{4},{5},{6,7}}=>{{1},{2},{3},{4},{5},{6,7}}
[6,4,5,7,3,2,1]=>[1,2,3,4,5,7,6]=>{{1},{2},{3},{4},{5},{6,7}}=>{{1},{2},{3},{4},{5},{6,7}}
[6,4,7,1,2,3,5]=>[1,2,3,5,4,7,6]=>{{1},{2},{3},{4,5},{6,7}}=>{{1},{2},{3},{4,5},{6,7}}
[6,4,7,1,2,5,3]=>[1,2,5,3,4,7,6]=>{{1},{2},{3,4,5},{6,7}}=>{{1},{2},{3,4,5},{6,7}}
[6,4,7,1,3,2,5]=>[1,3,2,5,4,7,6]=>{{1},{2,3},{4,5},{6,7}}=>{{1},{2,3},{4,5},{6,7}}
[6,4,7,1,3,5,2]=>[1,3,5,2,4,7,6]=>{{1},{2,3,4,5},{6,7}}=>{{1},{2,3,4,5},{6,7}}
[6,4,7,1,5,2,3]=>[1,5,2,3,4,7,6]=>{{1},{2,3,4,5},{6,7}}=>{{1},{2,3,4,5},{6,7}}
[6,4,7,1,5,3,2]=>[1,5,2,3,4,7,6]=>{{1},{2,3,4,5},{6,7}}=>{{1},{2,3,4,5},{6,7}}
[6,4,7,2,1,3,5]=>[1,3,5,2,4,7,6]=>{{1},{2,3,4,5},{6,7}}=>{{1},{2,3,4,5},{6,7}}
[6,4,7,2,1,5,3]=>[1,5,2,3,4,7,6]=>{{1},{2,3,4,5},{6,7}}=>{{1},{2,3,4,5},{6,7}}
[6,4,7,2,3,1,5]=>[1,5,2,3,4,7,6]=>{{1},{2,3,4,5},{6,7}}=>{{1},{2,3,4,5},{6,7}}
[6,4,7,2,3,5,1]=>[1,2,3,5,4,7,6]=>{{1},{2},{3},{4,5},{6,7}}=>{{1},{2},{3},{4,5},{6,7}}
[6,4,7,2,5,1,3]=>[1,3,2,5,4,7,6]=>{{1},{2,3},{4,5},{6,7}}=>{{1},{2,3},{4,5},{6,7}}
[6,4,7,2,5,3,1]=>[1,2,5,3,4,7,6]=>{{1},{2},{3,4,5},{6,7}}=>{{1},{2},{3,4,5},{6,7}}
[6,4,7,3,1,2,5]=>[1,2,5,3,4,7,6]=>{{1},{2},{3,4,5},{6,7}}=>{{1},{2},{3,4,5},{6,7}}
[6,4,7,3,1,5,2]=>[1,5,2,3,4,7,6]=>{{1},{2,3,4,5},{6,7}}=>{{1},{2,3,4,5},{6,7}}
[6,4,7,3,2,1,5]=>[1,5,2,3,4,7,6]=>{{1},{2,3,4,5},{6,7}}=>{{1},{2,3,4,5},{6,7}}
[6,4,7,3,2,5,1]=>[1,2,5,3,4,7,6]=>{{1},{2},{3,4,5},{6,7}}=>{{1},{2},{3,4,5},{6,7}}
[6,4,7,3,5,1,2]=>[1,2,3,5,4,7,6]=>{{1},{2},{3},{4,5},{6,7}}=>{{1},{2},{3},{4,5},{6,7}}
[6,4,7,3,5,2,1]=>[1,2,3,5,4,7,6]=>{{1},{2},{3},{4,5},{6,7}}=>{{1},{2},{3},{4,5},{6,7}}
[6,4,7,5,1,2,3]=>[1,2,3,4,7,5,6]=>{{1},{2},{3},{4},{5,6,7}}=>{{1},{2},{3},{4},{5,6,7}}
[6,4,7,5,1,3,2]=>[1,3,2,4,7,5,6]=>{{1},{2,3},{4},{5,6,7}}=>{{1},{2,3},{4},{5,6,7}}
[6,4,7,5,2,1,3]=>[1,3,2,4,7,5,6]=>{{1},{2,3},{4},{5,6,7}}=>{{1},{2,3},{4},{5,6,7}}
[6,4,7,5,2,3,1]=>[1,2,3,4,7,5,6]=>{{1},{2},{3},{4},{5,6,7}}=>{{1},{2},{3},{4},{5,6,7}}
[6,4,7,5,3,1,2]=>[1,2,3,4,7,5,6]=>{{1},{2},{3},{4},{5,6,7}}=>{{1},{2},{3},{4},{5,6,7}}
[6,4,7,5,3,2,1]=>[1,2,3,4,7,5,6]=>{{1},{2},{3},{4},{5,6,7}}=>{{1},{2},{3},{4},{5,6,7}}
[6,5,1,2,3,4,7]=>[1,2,3,4,7,5,6]=>{{1},{2},{3},{4},{5,6,7}}=>{{1},{2},{3},{4},{5,6,7}}
[6,5,1,2,3,7,4]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[6,5,1,2,4,3,7]=>[1,2,4,3,7,5,6]=>{{1},{2},{3,4},{5,6,7}}=>{{1},{2},{3,4},{5,6,7}}
[6,5,1,2,4,7,3]=>[1,2,4,7,3,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[6,5,1,2,7,3,4]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[6,5,1,2,7,4,3]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[6,5,1,3,2,4,7]=>[1,3,2,4,7,5,6]=>{{1},{2,3},{4},{5,6,7}}=>{{1},{2,3},{4},{5,6,7}}
[6,5,1,3,2,7,4]=>[1,3,2,7,4,5,6]=>{{1},{2,3},{4,5,6,7}}=>{{1},{2,3},{4,5,6,7}}
[6,5,1,3,4,2,7]=>[1,3,4,2,7,5,6]=>{{1},{2,3,4},{5,6,7}}=>{{1},{2,3,4},{5,6,7}}
[6,5,1,3,4,7,2]=>[1,3,4,7,2,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,5,1,3,7,2,4]=>[1,3,7,2,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,5,1,3,7,4,2]=>[1,3,7,2,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,5,1,4,2,3,7]=>[1,4,2,3,7,5,6]=>{{1},{2,3,4},{5,6,7}}=>{{1},{2,3,4},{5,6,7}}
[6,5,1,4,2,7,3]=>[1,4,2,7,3,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,5,1,4,3,2,7]=>[1,4,2,7,3,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,5,1,4,3,7,2]=>[1,4,2,3,7,5,6]=>{{1},{2,3,4},{5,6,7}}=>{{1},{2,3,4},{5,6,7}}
[6,5,1,4,7,2,3]=>[1,4,7,2,3,5,6]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[6,5,1,4,7,3,2]=>[1,4,7,2,3,5,6]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[6,5,1,7,2,3,4]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,5,1,7,2,4,3]=>[1,7,2,4,3,5,6]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[6,5,1,7,3,2,4]=>[1,7,2,4,3,5,6]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[6,5,1,7,3,4,2]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,5,1,7,4,2,3]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,5,1,7,4,3,2]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,5,2,1,3,4,7]=>[1,3,4,7,2,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,5,2,1,3,7,4]=>[1,3,7,2,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,5,2,1,4,3,7]=>[1,4,2,3,7,5,6]=>{{1},{2,3,4},{5,6,7}}=>{{1},{2,3,4},{5,6,7}}
[6,5,2,1,4,7,3]=>[1,4,7,2,3,5,6]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[6,5,2,1,7,3,4]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,5,2,1,7,4,3]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,5,2,3,1,4,7]=>[1,4,7,2,3,5,6]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[6,5,2,3,1,7,4]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,5,2,3,4,1,7]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,5,2,3,4,7,1]=>[1,2,3,4,7,5,6]=>{{1},{2},{3},{4},{5,6,7}}=>{{1},{2},{3},{4},{5,6,7}}
[6,5,2,3,7,1,4]=>[1,4,2,3,7,5,6]=>{{1},{2,3,4},{5,6,7}}=>{{1},{2,3,4},{5,6,7}}
[6,5,2,3,7,4,1]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[6,5,2,4,1,3,7]=>[1,3,7,2,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,5,2,4,1,7,3]=>[1,7,2,4,3,5,6]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[6,5,2,4,3,1,7]=>[1,7,2,4,3,5,6]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[6,5,2,4,3,7,1]=>[1,2,4,3,7,5,6]=>{{1},{2},{3,4},{5,6,7}}=>{{1},{2},{3,4},{5,6,7}}
[6,5,2,4,7,1,3]=>[1,3,2,4,7,5,6]=>{{1},{2,3},{4},{5,6,7}}=>{{1},{2,3},{4},{5,6,7}}
[6,5,2,4,7,3,1]=>[1,2,4,7,3,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[6,5,2,7,1,3,4]=>[1,3,4,2,7,5,6]=>{{1},{2,3,4},{5,6,7}}=>{{1},{2,3,4},{5,6,7}}
[6,5,2,7,1,4,3]=>[1,4,2,7,3,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,5,2,7,3,1,4]=>[1,4,2,7,3,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,5,2,7,3,4,1]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[6,5,2,7,4,1,3]=>[1,3,2,7,4,5,6]=>{{1},{2,3},{4,5,6,7}}=>{{1},{2,3},{4,5,6,7}}
[6,5,2,7,4,3,1]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[6,5,3,1,2,4,7]=>[1,2,4,7,3,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[6,5,3,1,2,7,4]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[6,5,3,1,4,2,7]=>[1,4,2,7,3,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,5,3,1,4,7,2]=>[1,4,7,2,3,5,6]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[6,5,3,1,7,2,4]=>[1,7,2,4,3,5,6]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[6,5,3,1,7,4,2]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,5,3,2,1,4,7]=>[1,4,7,2,3,5,6]=>{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
[6,5,3,2,1,7,4]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,5,3,2,4,1,7]=>[1,7,2,4,3,5,6]=>{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
[6,5,3,2,4,7,1]=>[1,2,4,7,3,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[6,5,3,2,7,1,4]=>[1,4,2,7,3,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,5,3,2,7,4,1]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[6,5,3,4,1,2,7]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[6,5,3,4,1,7,2]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,5,3,4,2,1,7]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,5,3,4,2,7,1]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[6,5,3,4,7,1,2]=>[1,2,3,4,7,5,6]=>{{1},{2},{3},{4},{5,6,7}}=>{{1},{2},{3},{4},{5,6,7}}
[6,5,3,4,7,2,1]=>[1,2,3,4,7,5,6]=>{{1},{2},{3},{4},{5,6,7}}=>{{1},{2},{3},{4},{5,6,7}}
[6,5,3,7,1,2,4]=>[1,2,4,3,7,5,6]=>{{1},{2},{3,4},{5,6,7}}=>{{1},{2},{3,4},{5,6,7}}
[6,5,3,7,1,4,2]=>[1,4,2,3,7,5,6]=>{{1},{2,3,4},{5,6,7}}=>{{1},{2,3,4},{5,6,7}}
[6,5,3,7,2,1,4]=>[1,4,2,3,7,5,6]=>{{1},{2,3,4},{5,6,7}}=>{{1},{2,3,4},{5,6,7}}
[6,5,3,7,2,4,1]=>[1,2,4,3,7,5,6]=>{{1},{2},{3,4},{5,6,7}}=>{{1},{2},{3,4},{5,6,7}}
[6,5,3,7,4,1,2]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[6,5,3,7,4,2,1]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[6,5,4,1,2,3,7]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[6,5,4,1,2,7,3]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[6,5,4,1,3,2,7]=>[1,3,2,7,4,5,6]=>{{1},{2,3},{4,5,6,7}}=>{{1},{2,3},{4,5,6,7}}
[6,5,4,1,3,7,2]=>[1,3,7,2,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,5,4,1,7,2,3]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,5,4,1,7,3,2]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,5,4,2,1,3,7]=>[1,3,7,2,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,5,4,2,1,7,3]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,5,4,2,3,1,7]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,5,4,2,3,7,1]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[6,5,4,2,7,1,3]=>[1,3,2,7,4,5,6]=>{{1},{2,3},{4,5,6,7}}=>{{1},{2,3},{4,5,6,7}}
[6,5,4,2,7,3,1]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[6,5,4,3,1,2,7]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[6,5,4,3,1,7,2]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,5,4,3,2,1,7]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
[6,5,4,3,2,7,1]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
[6,5,4,3,7,1,2]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[6,5,4,3,7,2,1]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
[6,5,4,7,1,2,3]=>[1,2,3,4,7,5,6]=>{{1},{2},{3},{4},{5,6,7}}=>{{1},{2},{3},{4},{5,6,7}}
[6,5,4,7,1,3,2]=>[1,3,2,4,7,5,6]=>{{1},{2,3},{4},{5,6,7}}=>{{1},{2,3},{4},{5,6,7}}
[6,5,4,7,2,1,3]=>[1,3,2,4,7,5,6]=>{{1},{2,3},{4},{5,6,7}}=>{{1},{2,3},{4},{5,6,7}}
[6,5,4,7,2,3,1]=>[1,2,3,4,7,5,6]=>{{1},{2},{3},{4},{5,6,7}}=>{{1},{2},{3},{4},{5,6,7}}
[6,5,4,7,3,1,2]=>[1,2,3,4,7,5,6]=>{{1},{2},{3},{4},{5,6,7}}=>{{1},{2},{3},{4},{5,6,7}}
[6,5,4,7,3,2,1]=>[1,2,3,4,7,5,6]=>{{1},{2},{3},{4},{5,6,7}}=>{{1},{2},{3},{4},{5,6,7}}
[6,5,7,1,2,3,4]=>[1,2,3,4,5,7,6]=>{{1},{2},{3},{4},{5},{6,7}}=>{{1},{2},{3},{4},{5},{6,7}}
[6,5,7,1,2,4,3]=>[1,2,4,3,5,7,6]=>{{1},{2},{3,4},{5},{6,7}}=>{{1},{2},{3,4},{5},{6,7}}
[6,5,7,1,3,2,4]=>[1,3,2,4,5,7,6]=>{{1},{2,3},{4},{5},{6,7}}=>{{1},{2,3},{4},{5},{6,7}}
[6,5,7,1,3,4,2]=>[1,3,4,2,5,7,6]=>{{1},{2,3,4},{5},{6,7}}=>{{1},{2,3,4},{5},{6,7}}
[6,5,7,1,4,2,3]=>[1,4,2,3,5,7,6]=>{{1},{2,3,4},{5},{6,7}}=>{{1},{2,3,4},{5},{6,7}}
[6,5,7,1,4,3,2]=>[1,4,2,3,5,7,6]=>{{1},{2,3,4},{5},{6,7}}=>{{1},{2,3,4},{5},{6,7}}
[6,5,7,2,1,3,4]=>[1,3,4,2,5,7,6]=>{{1},{2,3,4},{5},{6,7}}=>{{1},{2,3,4},{5},{6,7}}
[6,5,7,2,1,4,3]=>[1,4,2,3,5,7,6]=>{{1},{2,3,4},{5},{6,7}}=>{{1},{2,3,4},{5},{6,7}}
[6,5,7,2,3,1,4]=>[1,4,2,3,5,7,6]=>{{1},{2,3,4},{5},{6,7}}=>{{1},{2,3,4},{5},{6,7}}
[6,5,7,2,3,4,1]=>[1,2,3,4,5,7,6]=>{{1},{2},{3},{4},{5},{6,7}}=>{{1},{2},{3},{4},{5},{6,7}}
[6,5,7,2,4,1,3]=>[1,3,2,4,5,7,6]=>{{1},{2,3},{4},{5},{6,7}}=>{{1},{2,3},{4},{5},{6,7}}
[6,5,7,2,4,3,1]=>[1,2,4,3,5,7,6]=>{{1},{2},{3,4},{5},{6,7}}=>{{1},{2},{3,4},{5},{6,7}}
[6,5,7,3,1,2,4]=>[1,2,4,3,5,7,6]=>{{1},{2},{3,4},{5},{6,7}}=>{{1},{2},{3,4},{5},{6,7}}
[6,5,7,3,1,4,2]=>[1,4,2,3,5,7,6]=>{{1},{2,3,4},{5},{6,7}}=>{{1},{2,3,4},{5},{6,7}}
[6,5,7,3,2,1,4]=>[1,4,2,3,5,7,6]=>{{1},{2,3,4},{5},{6,7}}=>{{1},{2,3,4},{5},{6,7}}
[6,5,7,3,2,4,1]=>[1,2,4,3,5,7,6]=>{{1},{2},{3,4},{5},{6,7}}=>{{1},{2},{3,4},{5},{6,7}}
[6,5,7,3,4,1,2]=>[1,2,3,4,5,7,6]=>{{1},{2},{3},{4},{5},{6,7}}=>{{1},{2},{3},{4},{5},{6,7}}
[6,5,7,3,4,2,1]=>[1,2,3,4,5,7,6]=>{{1},{2},{3},{4},{5},{6,7}}=>{{1},{2},{3},{4},{5},{6,7}}
[6,5,7,4,1,2,3]=>[1,2,3,4,5,7,6]=>{{1},{2},{3},{4},{5},{6,7}}=>{{1},{2},{3},{4},{5},{6,7}}
[6,5,7,4,1,3,2]=>[1,3,2,4,5,7,6]=>{{1},{2,3},{4},{5},{6,7}}=>{{1},{2,3},{4},{5},{6,7}}
[6,5,7,4,2,1,3]=>[1,3,2,4,5,7,6]=>{{1},{2,3},{4},{5},{6,7}}=>{{1},{2,3},{4},{5},{6,7}}
[6,5,7,4,2,3,1]=>[1,2,3,4,5,7,6]=>{{1},{2},{3},{4},{5},{6,7}}=>{{1},{2},{3},{4},{5},{6,7}}
[6,5,7,4,3,1,2]=>[1,2,3,4,5,7,6]=>{{1},{2},{3},{4},{5},{6,7}}=>{{1},{2},{3},{4},{5},{6,7}}
[6,5,7,4,3,2,1]=>[1,2,3,4,5,7,6]=>{{1},{2},{3},{4},{5},{6,7}}=>{{1},{2},{3},{4},{5},{6,7}}
[6,7,1,2,3,4,5]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[6,7,1,2,3,5,4]=>[1,2,3,5,4,6,7]=>{{1},{2},{3},{4,5},{6},{7}}=>{{1},{2},{3},{4,5},{6},{7}}
[6,7,1,2,4,3,5]=>[1,2,4,3,5,6,7]=>{{1},{2},{3,4},{5},{6},{7}}=>{{1},{2},{3,4},{5},{6},{7}}
[6,7,1,2,4,5,3]=>[1,2,4,5,3,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6},{7}}
[6,7,1,2,5,3,4]=>[1,2,5,3,4,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6},{7}}
[6,7,1,2,5,4,3]=>[1,2,5,3,4,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6},{7}}
[6,7,1,3,2,4,5]=>[1,3,2,4,5,6,7]=>{{1},{2,3},{4},{5},{6},{7}}=>{{1},{2,3},{4},{5},{6},{7}}
[6,7,1,3,2,5,4]=>[1,3,2,5,4,6,7]=>{{1},{2,3},{4,5},{6},{7}}=>{{1},{2,3},{4,5},{6},{7}}
[6,7,1,3,4,2,5]=>[1,3,4,2,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>{{1},{2,3,4},{5},{6},{7}}
[6,7,1,3,4,5,2]=>[1,3,4,5,2,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[6,7,1,3,5,2,4]=>[1,3,5,2,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[6,7,1,3,5,4,2]=>[1,3,5,2,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[6,7,1,4,2,3,5]=>[1,4,2,3,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>{{1},{2,3,4},{5},{6},{7}}
[6,7,1,4,2,5,3]=>[1,4,2,5,3,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[6,7,1,4,3,2,5]=>[1,4,2,5,3,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[6,7,1,4,3,5,2]=>[1,4,2,3,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>{{1},{2,3,4},{5},{6},{7}}
[6,7,1,4,5,2,3]=>[1,4,5,2,3,6,7]=>{{1},{2,4},{3,5},{6},{7}}=>{{1},{2,5},{3,4},{6},{7}}
[6,7,1,4,5,3,2]=>[1,4,5,2,3,6,7]=>{{1},{2,4},{3,5},{6},{7}}=>{{1},{2,5},{3,4},{6},{7}}
[6,7,1,5,2,3,4]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[6,7,1,5,2,4,3]=>[1,5,2,4,3,6,7]=>{{1},{2,3,5},{4},{6},{7}}=>{{1},{2,3,5},{4},{6},{7}}
[6,7,1,5,3,2,4]=>[1,5,2,4,3,6,7]=>{{1},{2,3,5},{4},{6},{7}}=>{{1},{2,3,5},{4},{6},{7}}
[6,7,1,5,3,4,2]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[6,7,1,5,4,2,3]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[6,7,1,5,4,3,2]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[6,7,2,1,3,4,5]=>[1,3,4,5,2,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[6,7,2,1,3,5,4]=>[1,3,5,2,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[6,7,2,1,4,3,5]=>[1,4,2,3,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>{{1},{2,3,4},{5},{6},{7}}
[6,7,2,1,4,5,3]=>[1,4,5,2,3,6,7]=>{{1},{2,4},{3,5},{6},{7}}=>{{1},{2,5},{3,4},{6},{7}}
[6,7,2,1,5,3,4]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[6,7,2,1,5,4,3]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[6,7,2,3,1,4,5]=>[1,4,5,2,3,6,7]=>{{1},{2,4},{3,5},{6},{7}}=>{{1},{2,5},{3,4},{6},{7}}
[6,7,2,3,1,5,4]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[6,7,2,3,4,1,5]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[6,7,2,3,4,5,1]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[6,7,2,3,5,1,4]=>[1,4,2,3,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>{{1},{2,3,4},{5},{6},{7}}
[6,7,2,3,5,4,1]=>[1,2,3,5,4,6,7]=>{{1},{2},{3},{4,5},{6},{7}}=>{{1},{2},{3},{4,5},{6},{7}}
[6,7,2,4,1,3,5]=>[1,3,5,2,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[6,7,2,4,1,5,3]=>[1,5,2,4,3,6,7]=>{{1},{2,3,5},{4},{6},{7}}=>{{1},{2,3,5},{4},{6},{7}}
[6,7,2,4,3,1,5]=>[1,5,2,4,3,6,7]=>{{1},{2,3,5},{4},{6},{7}}=>{{1},{2,3,5},{4},{6},{7}}
[6,7,2,4,3,5,1]=>[1,2,4,3,5,6,7]=>{{1},{2},{3,4},{5},{6},{7}}=>{{1},{2},{3,4},{5},{6},{7}}
[6,7,2,4,5,1,3]=>[1,3,2,4,5,6,7]=>{{1},{2,3},{4},{5},{6},{7}}=>{{1},{2,3},{4},{5},{6},{7}}
[6,7,2,4,5,3,1]=>[1,2,4,5,3,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6},{7}}
[6,7,2,5,1,3,4]=>[1,3,4,2,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>{{1},{2,3,4},{5},{6},{7}}
[6,7,2,5,1,4,3]=>[1,4,2,5,3,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[6,7,2,5,3,1,4]=>[1,4,2,5,3,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[6,7,2,5,3,4,1]=>[1,2,5,3,4,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6},{7}}
[6,7,2,5,4,1,3]=>[1,3,2,5,4,6,7]=>{{1},{2,3},{4,5},{6},{7}}=>{{1},{2,3},{4,5},{6},{7}}
[6,7,2,5,4,3,1]=>[1,2,5,3,4,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6},{7}}
[6,7,3,1,2,4,5]=>[1,2,4,5,3,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6},{7}}
[6,7,3,1,2,5,4]=>[1,2,5,3,4,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6},{7}}
[6,7,3,1,4,2,5]=>[1,4,2,5,3,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[6,7,3,1,4,5,2]=>[1,4,5,2,3,6,7]=>{{1},{2,4},{3,5},{6},{7}}=>{{1},{2,5},{3,4},{6},{7}}
[6,7,3,1,5,2,4]=>[1,5,2,4,3,6,7]=>{{1},{2,3,5},{4},{6},{7}}=>{{1},{2,3,5},{4},{6},{7}}
[6,7,3,1,5,4,2]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[6,7,3,2,1,4,5]=>[1,4,5,2,3,6,7]=>{{1},{2,4},{3,5},{6},{7}}=>{{1},{2,5},{3,4},{6},{7}}
[6,7,3,2,1,5,4]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[6,7,3,2,4,1,5]=>[1,5,2,4,3,6,7]=>{{1},{2,3,5},{4},{6},{7}}=>{{1},{2,3,5},{4},{6},{7}}
[6,7,3,2,4,5,1]=>[1,2,4,5,3,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6},{7}}
[6,7,3,2,5,1,4]=>[1,4,2,5,3,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[6,7,3,2,5,4,1]=>[1,2,5,3,4,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6},{7}}
[6,7,3,4,1,2,5]=>[1,2,5,3,4,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6},{7}}
[6,7,3,4,1,5,2]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[6,7,3,4,2,1,5]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[6,7,3,4,2,5,1]=>[1,2,5,3,4,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6},{7}}
[6,7,3,4,5,1,2]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[6,7,3,4,5,2,1]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[6,7,3,5,1,2,4]=>[1,2,4,3,5,6,7]=>{{1},{2},{3,4},{5},{6},{7}}=>{{1},{2},{3,4},{5},{6},{7}}
[6,7,3,5,1,4,2]=>[1,4,2,3,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>{{1},{2,3,4},{5},{6},{7}}
[6,7,3,5,2,1,4]=>[1,4,2,3,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>{{1},{2,3,4},{5},{6},{7}}
[6,7,3,5,2,4,1]=>[1,2,4,3,5,6,7]=>{{1},{2},{3,4},{5},{6},{7}}=>{{1},{2},{3,4},{5},{6},{7}}
[6,7,3,5,4,1,2]=>[1,2,3,5,4,6,7]=>{{1},{2},{3},{4,5},{6},{7}}=>{{1},{2},{3},{4,5},{6},{7}}
[6,7,3,5,4,2,1]=>[1,2,3,5,4,6,7]=>{{1},{2},{3},{4,5},{6},{7}}=>{{1},{2},{3},{4,5},{6},{7}}
[6,7,4,1,2,3,5]=>[1,2,3,5,4,6,7]=>{{1},{2},{3},{4,5},{6},{7}}=>{{1},{2},{3},{4,5},{6},{7}}
[6,7,4,1,2,5,3]=>[1,2,5,3,4,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6},{7}}
[6,7,4,1,3,2,5]=>[1,3,2,5,4,6,7]=>{{1},{2,3},{4,5},{6},{7}}=>{{1},{2,3},{4,5},{6},{7}}
[6,7,4,1,3,5,2]=>[1,3,5,2,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[6,7,4,1,5,2,3]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[6,7,4,1,5,3,2]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[6,7,4,2,1,3,5]=>[1,3,5,2,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[6,7,4,2,1,5,3]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[6,7,4,2,3,1,5]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[6,7,4,2,3,5,1]=>[1,2,3,5,4,6,7]=>{{1},{2},{3},{4,5},{6},{7}}=>{{1},{2},{3},{4,5},{6},{7}}
[6,7,4,2,5,1,3]=>[1,3,2,5,4,6,7]=>{{1},{2,3},{4,5},{6},{7}}=>{{1},{2,3},{4,5},{6},{7}}
[6,7,4,2,5,3,1]=>[1,2,5,3,4,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6},{7}}
[6,7,4,3,1,2,5]=>[1,2,5,3,4,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6},{7}}
[6,7,4,3,1,5,2]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[6,7,4,3,2,1,5]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[6,7,4,3,2,5,1]=>[1,2,5,3,4,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6},{7}}
[6,7,4,3,5,1,2]=>[1,2,3,5,4,6,7]=>{{1},{2},{3},{4,5},{6},{7}}=>{{1},{2},{3},{4,5},{6},{7}}
[6,7,4,3,5,2,1]=>[1,2,3,5,4,6,7]=>{{1},{2},{3},{4,5},{6},{7}}=>{{1},{2},{3},{4,5},{6},{7}}
[6,7,4,5,1,2,3]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[6,7,4,5,1,3,2]=>[1,3,2,4,5,6,7]=>{{1},{2,3},{4},{5},{6},{7}}=>{{1},{2,3},{4},{5},{6},{7}}
[6,7,4,5,2,1,3]=>[1,3,2,4,5,6,7]=>{{1},{2,3},{4},{5},{6},{7}}=>{{1},{2,3},{4},{5},{6},{7}}
[6,7,4,5,2,3,1]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[6,7,4,5,3,1,2]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[6,7,4,5,3,2,1]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[6,7,5,1,2,3,4]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[6,7,5,1,2,4,3]=>[1,2,4,3,5,6,7]=>{{1},{2},{3,4},{5},{6},{7}}=>{{1},{2},{3,4},{5},{6},{7}}
[6,7,5,1,3,2,4]=>[1,3,2,4,5,6,7]=>{{1},{2,3},{4},{5},{6},{7}}=>{{1},{2,3},{4},{5},{6},{7}}
[6,7,5,1,3,4,2]=>[1,3,4,2,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>{{1},{2,3,4},{5},{6},{7}}
[6,7,5,1,4,2,3]=>[1,4,2,3,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>{{1},{2,3,4},{5},{6},{7}}
[6,7,5,1,4,3,2]=>[1,4,2,3,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>{{1},{2,3,4},{5},{6},{7}}
[6,7,5,2,1,3,4]=>[1,3,4,2,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>{{1},{2,3,4},{5},{6},{7}}
[6,7,5,2,1,4,3]=>[1,4,2,3,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>{{1},{2,3,4},{5},{6},{7}}
[6,7,5,2,3,1,4]=>[1,4,2,3,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>{{1},{2,3,4},{5},{6},{7}}
[6,7,5,2,3,4,1]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[6,7,5,2,4,1,3]=>[1,3,2,4,5,6,7]=>{{1},{2,3},{4},{5},{6},{7}}=>{{1},{2,3},{4},{5},{6},{7}}
[6,7,5,2,4,3,1]=>[1,2,4,3,5,6,7]=>{{1},{2},{3,4},{5},{6},{7}}=>{{1},{2},{3,4},{5},{6},{7}}
[6,7,5,3,1,2,4]=>[1,2,4,3,5,6,7]=>{{1},{2},{3,4},{5},{6},{7}}=>{{1},{2},{3,4},{5},{6},{7}}
[6,7,5,3,1,4,2]=>[1,4,2,3,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>{{1},{2,3,4},{5},{6},{7}}
[6,7,5,3,2,1,4]=>[1,4,2,3,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>{{1},{2,3,4},{5},{6},{7}}
[6,7,5,3,2,4,1]=>[1,2,4,3,5,6,7]=>{{1},{2},{3,4},{5},{6},{7}}=>{{1},{2},{3,4},{5},{6},{7}}
[6,7,5,3,4,1,2]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[6,7,5,3,4,2,1]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[6,7,5,4,1,2,3]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[6,7,5,4,1,3,2]=>[1,3,2,4,5,6,7]=>{{1},{2,3},{4},{5},{6},{7}}=>{{1},{2,3},{4},{5},{6},{7}}
[6,7,5,4,2,1,3]=>[1,3,2,4,5,6,7]=>{{1},{2,3},{4},{5},{6},{7}}=>{{1},{2,3},{4},{5},{6},{7}}
[6,7,5,4,2,3,1]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[6,7,5,4,3,1,2]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[6,7,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[7,1,2,3,4,5,6]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[7,1,2,3,4,6,5]=>[1,2,3,4,6,5,7]=>{{1},{2},{3},{4},{5,6},{7}}=>{{1},{2},{3},{4},{5,6},{7}}
[7,1,2,3,5,4,6]=>[1,2,3,5,4,6,7]=>{{1},{2},{3},{4,5},{6},{7}}=>{{1},{2},{3},{4,5},{6},{7}}
[7,1,2,3,5,6,4]=>[1,2,3,5,6,4,7]=>{{1},{2},{3},{4,5,6},{7}}=>{{1},{2},{3},{4,5,6},{7}}
[7,1,2,3,6,4,5]=>[1,2,3,6,4,5,7]=>{{1},{2},{3},{4,5,6},{7}}=>{{1},{2},{3},{4,5,6},{7}}
[7,1,2,3,6,5,4]=>[1,2,3,6,4,5,7]=>{{1},{2},{3},{4,5,6},{7}}=>{{1},{2},{3},{4,5,6},{7}}
[7,1,2,4,3,5,6]=>[1,2,4,3,5,6,7]=>{{1},{2},{3,4},{5},{6},{7}}=>{{1},{2},{3,4},{5},{6},{7}}
[7,1,2,4,3,6,5]=>[1,2,4,3,6,5,7]=>{{1},{2},{3,4},{5,6},{7}}=>{{1},{2},{3,4},{5,6},{7}}
[7,1,2,4,5,3,6]=>[1,2,4,5,3,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6},{7}}
[7,1,2,4,5,6,3]=>[1,2,4,5,6,3,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[7,1,2,4,6,3,5]=>[1,2,4,6,3,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[7,1,2,4,6,5,3]=>[1,2,4,6,3,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[7,1,2,5,3,4,6]=>[1,2,5,3,4,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6},{7}}
[7,1,2,5,3,6,4]=>[1,2,5,3,6,4,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[7,1,2,5,4,3,6]=>[1,2,5,3,6,4,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[7,1,2,5,4,6,3]=>[1,2,5,3,4,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6},{7}}
[7,1,2,5,6,3,4]=>[1,2,5,6,3,4,7]=>{{1},{2},{3,5},{4,6},{7}}=>{{1},{2},{3,6},{4,5},{7}}
[7,1,2,5,6,4,3]=>[1,2,5,6,3,4,7]=>{{1},{2},{3,5},{4,6},{7}}=>{{1},{2},{3,6},{4,5},{7}}
[7,1,2,6,3,4,5]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[7,1,2,6,3,5,4]=>[1,2,6,3,5,4,7]=>{{1},{2},{3,4,6},{5},{7}}=>{{1},{2},{3,4,6},{5},{7}}
[7,1,2,6,4,3,5]=>[1,2,6,3,5,4,7]=>{{1},{2},{3,4,6},{5},{7}}=>{{1},{2},{3,4,6},{5},{7}}
[7,1,2,6,4,5,3]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[7,1,2,6,5,3,4]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[7,1,2,6,5,4,3]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[7,1,3,2,4,5,6]=>[1,3,2,4,5,6,7]=>{{1},{2,3},{4},{5},{6},{7}}=>{{1},{2,3},{4},{5},{6},{7}}
[7,1,3,2,4,6,5]=>[1,3,2,4,6,5,7]=>{{1},{2,3},{4},{5,6},{7}}=>{{1},{2,3},{4},{5,6},{7}}
[7,1,3,2,5,4,6]=>[1,3,2,5,4,6,7]=>{{1},{2,3},{4,5},{6},{7}}=>{{1},{2,3},{4,5},{6},{7}}
[7,1,3,2,5,6,4]=>[1,3,2,5,6,4,7]=>{{1},{2,3},{4,5,6},{7}}=>{{1},{2,3},{4,5,6},{7}}
[7,1,3,2,6,4,5]=>[1,3,2,6,4,5,7]=>{{1},{2,3},{4,5,6},{7}}=>{{1},{2,3},{4,5,6},{7}}
[7,1,3,2,6,5,4]=>[1,3,2,6,4,5,7]=>{{1},{2,3},{4,5,6},{7}}=>{{1},{2,3},{4,5,6},{7}}
[7,1,3,4,2,5,6]=>[1,3,4,2,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>{{1},{2,3,4},{5},{6},{7}}
[7,1,3,4,2,6,5]=>[1,3,4,2,6,5,7]=>{{1},{2,3,4},{5,6},{7}}=>{{1},{2,3,4},{5,6},{7}}
[7,1,3,4,5,2,6]=>[1,3,4,5,2,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[7,1,3,4,5,6,2]=>[1,3,4,5,6,2,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,1,3,4,6,2,5]=>[1,3,4,6,2,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,1,3,4,6,5,2]=>[1,3,4,6,2,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,1,3,5,2,4,6]=>[1,3,5,2,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[7,1,3,5,2,6,4]=>[1,3,5,2,6,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,1,3,5,4,2,6]=>[1,3,5,2,6,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,1,3,5,4,6,2]=>[1,3,5,2,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[7,1,3,5,6,2,4]=>[1,3,5,6,2,4,7]=>{{1},{2,3,5},{4,6},{7}}=>{{1},{2,3,6},{4,5},{7}}
[7,1,3,5,6,4,2]=>[1,3,5,6,2,4,7]=>{{1},{2,3,5},{4,6},{7}}=>{{1},{2,3,6},{4,5},{7}}
[7,1,3,6,2,4,5]=>[1,3,6,2,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,1,3,6,2,5,4]=>[1,3,6,2,5,4,7]=>{{1},{2,3,4,6},{5},{7}}=>{{1},{2,3,4,6},{5},{7}}
[7,1,3,6,4,2,5]=>[1,3,6,2,5,4,7]=>{{1},{2,3,4,6},{5},{7}}=>{{1},{2,3,4,6},{5},{7}}
[7,1,3,6,4,5,2]=>[1,3,6,2,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,1,3,6,5,2,4]=>[1,3,6,2,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,1,3,6,5,4,2]=>[1,3,6,2,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,1,4,2,3,5,6]=>[1,4,2,3,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>{{1},{2,3,4},{5},{6},{7}}
[7,1,4,2,3,6,5]=>[1,4,2,3,6,5,7]=>{{1},{2,3,4},{5,6},{7}}=>{{1},{2,3,4},{5,6},{7}}
[7,1,4,2,5,3,6]=>[1,4,2,5,3,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[7,1,4,2,5,6,3]=>[1,4,2,5,6,3,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,1,4,2,6,3,5]=>[1,4,2,6,3,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,1,4,2,6,5,3]=>[1,4,2,6,3,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,1,4,3,2,5,6]=>[1,4,2,5,6,3,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,1,4,3,2,6,5]=>[1,4,2,6,3,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,1,4,3,5,2,6]=>[1,4,2,6,3,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,1,4,3,5,6,2]=>[1,4,2,3,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>{{1},{2,3,4},{5},{6},{7}}
[7,1,4,3,6,2,5]=>[1,4,2,5,3,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[7,1,4,3,6,5,2]=>[1,4,2,3,6,5,7]=>{{1},{2,3,4},{5,6},{7}}=>{{1},{2,3,4},{5,6},{7}}
[7,1,4,5,2,3,6]=>[1,4,5,2,3,6,7]=>{{1},{2,4},{3,5},{6},{7}}=>{{1},{2,5},{3,4},{6},{7}}
[7,1,4,5,2,6,3]=>[1,4,5,2,6,3,7]=>{{1},{2,4},{3,5,6},{7}}=>{{1},{2,5,6},{3,4},{7}}
[7,1,4,5,3,2,6]=>[1,4,5,2,6,3,7]=>{{1},{2,4},{3,5,6},{7}}=>{{1},{2,5,6},{3,4},{7}}
[7,1,4,5,3,6,2]=>[1,4,5,2,3,6,7]=>{{1},{2,4},{3,5},{6},{7}}=>{{1},{2,5},{3,4},{6},{7}}
[7,1,4,5,6,2,3]=>[1,4,5,6,2,3,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,1,4,5,6,3,2]=>[1,4,5,6,2,3,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,1,4,6,2,3,5]=>[1,4,6,2,3,5,7]=>{{1},{2,4},{3,5,6},{7}}=>{{1},{2,5,6},{3,4},{7}}
[7,1,4,6,2,5,3]=>[1,4,6,2,5,3,7]=>{{1},{2,4},{3,6},{5},{7}}=>{{1},{2,6},{3,4},{5},{7}}
[7,1,4,6,3,2,5]=>[1,4,6,2,5,3,7]=>{{1},{2,4},{3,6},{5},{7}}=>{{1},{2,6},{3,4},{5},{7}}
[7,1,4,6,3,5,2]=>[1,4,6,2,3,5,7]=>{{1},{2,4},{3,5,6},{7}}=>{{1},{2,5,6},{3,4},{7}}
[7,1,4,6,5,2,3]=>[1,4,6,2,3,5,7]=>{{1},{2,4},{3,5,6},{7}}=>{{1},{2,5,6},{3,4},{7}}
[7,1,4,6,5,3,2]=>[1,4,6,2,3,5,7]=>{{1},{2,4},{3,5,6},{7}}=>{{1},{2,5,6},{3,4},{7}}
[7,1,5,2,3,4,6]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[7,1,5,2,3,6,4]=>[1,5,2,3,6,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,1,5,2,4,3,6]=>[1,5,2,4,3,6,7]=>{{1},{2,3,5},{4},{6},{7}}=>{{1},{2,3,5},{4},{6},{7}}
[7,1,5,2,4,6,3]=>[1,5,2,4,6,3,7]=>{{1},{2,3,5,6},{4},{7}}=>{{1},{2,3,5,6},{4},{7}}
[7,1,5,2,6,3,4]=>[1,5,2,6,3,4,7]=>{{1},{2,3,5},{4,6},{7}}=>{{1},{2,3,6},{4,5},{7}}
[7,1,5,2,6,4,3]=>[1,5,2,6,3,4,7]=>{{1},{2,3,5},{4,6},{7}}=>{{1},{2,3,6},{4,5},{7}}
[7,1,5,3,2,4,6]=>[1,5,2,4,6,3,7]=>{{1},{2,3,5,6},{4},{7}}=>{{1},{2,3,5,6},{4},{7}}
[7,1,5,3,2,6,4]=>[1,5,2,6,3,4,7]=>{{1},{2,3,5},{4,6},{7}}=>{{1},{2,3,6},{4,5},{7}}
[7,1,5,3,4,2,6]=>[1,5,2,6,3,4,7]=>{{1},{2,3,5},{4,6},{7}}=>{{1},{2,3,6},{4,5},{7}}
[7,1,5,3,4,6,2]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[7,1,5,3,6,2,4]=>[1,5,2,4,3,6,7]=>{{1},{2,3,5},{4},{6},{7}}=>{{1},{2,3,5},{4},{6},{7}}
[7,1,5,3,6,4,2]=>[1,5,2,3,6,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,1,5,4,2,3,6]=>[1,5,2,3,6,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,1,5,4,2,6,3]=>[1,5,2,6,3,4,7]=>{{1},{2,3,5},{4,6},{7}}=>{{1},{2,3,6},{4,5},{7}}
[7,1,5,4,3,2,6]=>[1,5,2,6,3,4,7]=>{{1},{2,3,5},{4,6},{7}}=>{{1},{2,3,6},{4,5},{7}}
[7,1,5,4,3,6,2]=>[1,5,2,3,6,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,1,5,4,6,2,3]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[7,1,5,4,6,3,2]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[7,1,5,6,2,3,4]=>[1,5,6,2,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,1,5,6,2,4,3]=>[1,5,6,2,4,3,7]=>{{1},{2,4,5},{3,6},{7}}=>{{1},{2,5},{3,4,6},{7}}
[7,1,5,6,3,2,4]=>[1,5,6,2,4,3,7]=>{{1},{2,4,5},{3,6},{7}}=>{{1},{2,5},{3,4,6},{7}}
[7,1,5,6,3,4,2]=>[1,5,6,2,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,1,5,6,4,2,3]=>[1,5,6,2,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,1,5,6,4,3,2]=>[1,5,6,2,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,1,6,2,3,4,5]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,1,6,2,3,5,4]=>[1,6,2,3,5,4,7]=>{{1},{2,3,4,6},{5},{7}}=>{{1},{2,3,4,6},{5},{7}}
[7,1,6,2,4,3,5]=>[1,6,2,4,3,5,7]=>{{1},{2,3,5,6},{4},{7}}=>{{1},{2,3,5,6},{4},{7}}
[7,1,6,2,4,5,3]=>[1,6,2,4,5,3,7]=>{{1},{2,3,6},{4},{5},{7}}=>{{1},{2,3,6},{4},{5},{7}}
[7,1,6,2,5,3,4]=>[1,6,2,5,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,1,6,2,5,4,3]=>[1,6,2,5,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,1,6,3,2,4,5]=>[1,6,2,4,5,3,7]=>{{1},{2,3,6},{4},{5},{7}}=>{{1},{2,3,6},{4},{5},{7}}
[7,1,6,3,2,5,4]=>[1,6,2,5,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,1,6,3,4,2,5]=>[1,6,2,5,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,1,6,3,4,5,2]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,1,6,3,5,2,4]=>[1,6,2,4,3,5,7]=>{{1},{2,3,5,6},{4},{7}}=>{{1},{2,3,5,6},{4},{7}}
[7,1,6,3,5,4,2]=>[1,6,2,3,5,4,7]=>{{1},{2,3,4,6},{5},{7}}=>{{1},{2,3,4,6},{5},{7}}
[7,1,6,4,2,3,5]=>[1,6,2,3,5,4,7]=>{{1},{2,3,4,6},{5},{7}}=>{{1},{2,3,4,6},{5},{7}}
[7,1,6,4,2,5,3]=>[1,6,2,5,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,1,6,4,3,2,5]=>[1,6,2,5,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,1,6,4,3,5,2]=>[1,6,2,3,5,4,7]=>{{1},{2,3,4,6},{5},{7}}=>{{1},{2,3,4,6},{5},{7}}
[7,1,6,4,5,2,3]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,1,6,4,5,3,2]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,1,6,5,2,3,4]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,1,6,5,2,4,3]=>[1,6,2,4,3,5,7]=>{{1},{2,3,5,6},{4},{7}}=>{{1},{2,3,5,6},{4},{7}}
[7,1,6,5,3,2,4]=>[1,6,2,4,3,5,7]=>{{1},{2,3,5,6},{4},{7}}=>{{1},{2,3,5,6},{4},{7}}
[7,1,6,5,3,4,2]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,1,6,5,4,2,3]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,1,6,5,4,3,2]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,2,1,3,4,5,6]=>[1,3,4,5,6,2,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,2,1,3,4,6,5]=>[1,3,4,6,2,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,2,1,3,5,4,6]=>[1,3,5,2,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[7,2,1,3,5,6,4]=>[1,3,5,6,2,4,7]=>{{1},{2,3,5},{4,6},{7}}=>{{1},{2,3,6},{4,5},{7}}
[7,2,1,3,6,4,5]=>[1,3,6,2,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,2,1,3,6,5,4]=>[1,3,6,2,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,2,1,4,3,5,6]=>[1,4,2,3,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>{{1},{2,3,4},{5},{6},{7}}
[7,2,1,4,3,6,5]=>[1,4,2,3,6,5,7]=>{{1},{2,3,4},{5,6},{7}}=>{{1},{2,3,4},{5,6},{7}}
[7,2,1,4,5,3,6]=>[1,4,5,2,3,6,7]=>{{1},{2,4},{3,5},{6},{7}}=>{{1},{2,5},{3,4},{6},{7}}
[7,2,1,4,5,6,3]=>[1,4,5,6,2,3,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,2,1,4,6,3,5]=>[1,4,6,2,3,5,7]=>{{1},{2,4},{3,5,6},{7}}=>{{1},{2,5,6},{3,4},{7}}
[7,2,1,4,6,5,3]=>[1,4,6,2,3,5,7]=>{{1},{2,4},{3,5,6},{7}}=>{{1},{2,5,6},{3,4},{7}}
[7,2,1,5,3,4,6]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[7,2,1,5,3,6,4]=>[1,5,2,3,6,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,2,1,5,4,3,6]=>[1,5,2,3,6,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,2,1,5,4,6,3]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[7,2,1,5,6,3,4]=>[1,5,6,2,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,2,1,5,6,4,3]=>[1,5,6,2,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,2,1,6,3,4,5]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,2,1,6,3,5,4]=>[1,6,2,3,5,4,7]=>{{1},{2,3,4,6},{5},{7}}=>{{1},{2,3,4,6},{5},{7}}
[7,2,1,6,4,3,5]=>[1,6,2,3,5,4,7]=>{{1},{2,3,4,6},{5},{7}}=>{{1},{2,3,4,6},{5},{7}}
[7,2,1,6,4,5,3]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,2,1,6,5,3,4]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,2,1,6,5,4,3]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,2,3,1,4,5,6]=>[1,4,5,6,2,3,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,2,3,1,4,6,5]=>[1,4,6,2,3,5,7]=>{{1},{2,4},{3,5,6},{7}}=>{{1},{2,5,6},{3,4},{7}}
[7,2,3,1,5,4,6]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[7,2,3,1,5,6,4]=>[1,5,6,2,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,2,3,1,6,4,5]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,2,3,1,6,5,4]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,2,3,4,1,5,6]=>[1,5,6,2,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,2,3,4,1,6,5]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,2,3,4,5,1,6]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,2,3,4,5,6,1]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[7,2,3,4,6,1,5]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[7,2,3,4,6,5,1]=>[1,2,3,4,6,5,7]=>{{1},{2},{3},{4},{5,6},{7}}=>{{1},{2},{3},{4},{5,6},{7}}
[7,2,3,5,1,4,6]=>[1,4,6,2,3,5,7]=>{{1},{2,4},{3,5,6},{7}}=>{{1},{2,5,6},{3,4},{7}}
[7,2,3,5,1,6,4]=>[1,6,2,3,5,4,7]=>{{1},{2,3,4,6},{5},{7}}=>{{1},{2,3,4,6},{5},{7}}
[7,2,3,5,4,1,6]=>[1,6,2,3,5,4,7]=>{{1},{2,3,4,6},{5},{7}}=>{{1},{2,3,4,6},{5},{7}}
[7,2,3,5,4,6,1]=>[1,2,3,5,4,6,7]=>{{1},{2},{3},{4,5},{6},{7}}=>{{1},{2},{3},{4,5},{6},{7}}
[7,2,3,5,6,1,4]=>[1,4,2,3,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>{{1},{2,3,4},{5},{6},{7}}
[7,2,3,5,6,4,1]=>[1,2,3,5,6,4,7]=>{{1},{2},{3},{4,5,6},{7}}=>{{1},{2},{3},{4,5,6},{7}}
[7,2,3,6,1,4,5]=>[1,4,5,2,3,6,7]=>{{1},{2,4},{3,5},{6},{7}}=>{{1},{2,5},{3,4},{6},{7}}
[7,2,3,6,1,5,4]=>[1,5,2,3,6,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,2,3,6,4,1,5]=>[1,5,2,3,6,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,2,3,6,4,5,1]=>[1,2,3,6,4,5,7]=>{{1},{2},{3},{4,5,6},{7}}=>{{1},{2},{3},{4,5,6},{7}}
[7,2,3,6,5,1,4]=>[1,4,2,3,6,5,7]=>{{1},{2,3,4},{5,6},{7}}=>{{1},{2,3,4},{5,6},{7}}
[7,2,3,6,5,4,1]=>[1,2,3,6,4,5,7]=>{{1},{2},{3},{4,5,6},{7}}=>{{1},{2},{3},{4,5,6},{7}}
[7,2,4,1,3,5,6]=>[1,3,5,6,2,4,7]=>{{1},{2,3,5},{4,6},{7}}=>{{1},{2,3,6},{4,5},{7}}
[7,2,4,1,3,6,5]=>[1,3,6,2,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,2,4,1,5,3,6]=>[1,5,2,4,3,6,7]=>{{1},{2,3,5},{4},{6},{7}}=>{{1},{2,3,5},{4},{6},{7}}
[7,2,4,1,5,6,3]=>[1,5,6,2,4,3,7]=>{{1},{2,4,5},{3,6},{7}}=>{{1},{2,5},{3,4,6},{7}}
[7,2,4,1,6,3,5]=>[1,6,2,4,3,5,7]=>{{1},{2,3,5,6},{4},{7}}=>{{1},{2,3,5,6},{4},{7}}
[7,2,4,1,6,5,3]=>[1,6,2,4,3,5,7]=>{{1},{2,3,5,6},{4},{7}}=>{{1},{2,3,5,6},{4},{7}}
[7,2,4,3,1,5,6]=>[1,5,6,2,4,3,7]=>{{1},{2,4,5},{3,6},{7}}=>{{1},{2,5},{3,4,6},{7}}
[7,2,4,3,1,6,5]=>[1,6,2,4,3,5,7]=>{{1},{2,3,5,6},{4},{7}}=>{{1},{2,3,5,6},{4},{7}}
[7,2,4,3,5,1,6]=>[1,6,2,4,3,5,7]=>{{1},{2,3,5,6},{4},{7}}=>{{1},{2,3,5,6},{4},{7}}
[7,2,4,3,5,6,1]=>[1,2,4,3,5,6,7]=>{{1},{2},{3,4},{5},{6},{7}}=>{{1},{2},{3,4},{5},{6},{7}}
[7,2,4,3,6,1,5]=>[1,5,2,4,3,6,7]=>{{1},{2,3,5},{4},{6},{7}}=>{{1},{2,3,5},{4},{6},{7}}
[7,2,4,3,6,5,1]=>[1,2,4,3,6,5,7]=>{{1},{2},{3,4},{5,6},{7}}=>{{1},{2},{3,4},{5,6},{7}}
[7,2,4,5,1,3,6]=>[1,3,6,2,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,2,4,5,1,6,3]=>[1,6,2,4,5,3,7]=>{{1},{2,3,6},{4},{5},{7}}=>{{1},{2,3,6},{4},{5},{7}}
[7,2,4,5,3,1,6]=>[1,6,2,4,5,3,7]=>{{1},{2,3,6},{4},{5},{7}}=>{{1},{2,3,6},{4},{5},{7}}
[7,2,4,5,3,6,1]=>[1,2,4,5,3,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6},{7}}
[7,2,4,5,6,1,3]=>[1,3,2,4,5,6,7]=>{{1},{2,3},{4},{5},{6},{7}}=>{{1},{2,3},{4},{5},{6},{7}}
[7,2,4,5,6,3,1]=>[1,2,4,5,6,3,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[7,2,4,6,1,3,5]=>[1,3,5,2,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[7,2,4,6,1,5,3]=>[1,5,2,4,6,3,7]=>{{1},{2,3,5,6},{4},{7}}=>{{1},{2,3,5,6},{4},{7}}
[7,2,4,6,3,1,5]=>[1,5,2,4,6,3,7]=>{{1},{2,3,5,6},{4},{7}}=>{{1},{2,3,5,6},{4},{7}}
[7,2,4,6,3,5,1]=>[1,2,4,6,3,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[7,2,4,6,5,1,3]=>[1,3,2,4,6,5,7]=>{{1},{2,3},{4},{5,6},{7}}=>{{1},{2,3},{4},{5,6},{7}}
[7,2,4,6,5,3,1]=>[1,2,4,6,3,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[7,2,5,1,3,4,6]=>[1,3,4,6,2,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,2,5,1,3,6,4]=>[1,3,6,2,5,4,7]=>{{1},{2,3,4,6},{5},{7}}=>{{1},{2,3,4,6},{5},{7}}
[7,2,5,1,4,3,6]=>[1,4,2,5,3,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[7,2,5,1,4,6,3]=>[1,4,6,2,5,3,7]=>{{1},{2,4},{3,6},{5},{7}}=>{{1},{2,6},{3,4},{5},{7}}
[7,2,5,1,6,3,4]=>[1,6,2,5,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,2,5,1,6,4,3]=>[1,6,2,5,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,2,5,3,1,4,6]=>[1,4,6,2,5,3,7]=>{{1},{2,4},{3,6},{5},{7}}=>{{1},{2,6},{3,4},{5},{7}}
[7,2,5,3,1,6,4]=>[1,6,2,5,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,2,5,3,4,1,6]=>[1,6,2,5,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,2,5,3,4,6,1]=>[1,2,5,3,4,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6},{7}}
[7,2,5,3,6,1,4]=>[1,4,2,5,3,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[7,2,5,3,6,4,1]=>[1,2,5,3,6,4,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[7,2,5,4,1,3,6]=>[1,3,6,2,5,4,7]=>{{1},{2,3,4,6},{5},{7}}=>{{1},{2,3,4,6},{5},{7}}
[7,2,5,4,1,6,3]=>[1,6,2,5,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,2,5,4,3,1,6]=>[1,6,2,5,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,2,5,4,3,6,1]=>[1,2,5,3,6,4,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[7,2,5,4,6,1,3]=>[1,3,2,5,4,6,7]=>{{1},{2,3},{4,5},{6},{7}}=>{{1},{2,3},{4,5},{6},{7}}
[7,2,5,4,6,3,1]=>[1,2,5,3,4,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6},{7}}
[7,2,5,6,1,3,4]=>[1,3,4,2,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>{{1},{2,3,4},{5},{6},{7}}
[7,2,5,6,1,4,3]=>[1,4,2,5,6,3,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,2,5,6,3,1,4]=>[1,4,2,5,6,3,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,2,5,6,3,4,1]=>[1,2,5,6,3,4,7]=>{{1},{2},{3,5},{4,6},{7}}=>{{1},{2},{3,6},{4,5},{7}}
[7,2,5,6,4,1,3]=>[1,3,2,5,6,4,7]=>{{1},{2,3},{4,5,6},{7}}=>{{1},{2,3},{4,5,6},{7}}
[7,2,5,6,4,3,1]=>[1,2,5,6,3,4,7]=>{{1},{2},{3,5},{4,6},{7}}=>{{1},{2},{3,6},{4,5},{7}}
[7,2,6,1,3,4,5]=>[1,3,4,5,2,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[7,2,6,1,3,5,4]=>[1,3,5,2,6,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,2,6,1,4,3,5]=>[1,4,2,6,3,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,2,6,1,4,5,3]=>[1,4,5,2,6,3,7]=>{{1},{2,4},{3,5,6},{7}}=>{{1},{2,5,6},{3,4},{7}}
[7,2,6,1,5,3,4]=>[1,5,2,6,3,4,7]=>{{1},{2,3,5},{4,6},{7}}=>{{1},{2,3,6},{4,5},{7}}
[7,2,6,1,5,4,3]=>[1,5,2,6,3,4,7]=>{{1},{2,3,5},{4,6},{7}}=>{{1},{2,3,6},{4,5},{7}}
[7,2,6,3,1,4,5]=>[1,4,5,2,6,3,7]=>{{1},{2,4},{3,5,6},{7}}=>{{1},{2,5,6},{3,4},{7}}
[7,2,6,3,1,5,4]=>[1,5,2,6,3,4,7]=>{{1},{2,3,5},{4,6},{7}}=>{{1},{2,3,6},{4,5},{7}}
[7,2,6,3,4,1,5]=>[1,5,2,6,3,4,7]=>{{1},{2,3,5},{4,6},{7}}=>{{1},{2,3,6},{4,5},{7}}
[7,2,6,3,4,5,1]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[7,2,6,3,5,1,4]=>[1,4,2,6,3,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,2,6,3,5,4,1]=>[1,2,6,3,5,4,7]=>{{1},{2},{3,4,6},{5},{7}}=>{{1},{2},{3,4,6},{5},{7}}
[7,2,6,4,1,3,5]=>[1,3,5,2,6,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,2,6,4,1,5,3]=>[1,5,2,6,3,4,7]=>{{1},{2,3,5},{4,6},{7}}=>{{1},{2,3,6},{4,5},{7}}
[7,2,6,4,3,1,5]=>[1,5,2,6,3,4,7]=>{{1},{2,3,5},{4,6},{7}}=>{{1},{2,3,6},{4,5},{7}}
[7,2,6,4,3,5,1]=>[1,2,6,3,5,4,7]=>{{1},{2},{3,4,6},{5},{7}}=>{{1},{2},{3,4,6},{5},{7}}
[7,2,6,4,5,1,3]=>[1,3,2,6,4,5,7]=>{{1},{2,3},{4,5,6},{7}}=>{{1},{2,3},{4,5,6},{7}}
[7,2,6,4,5,3,1]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[7,2,6,5,1,3,4]=>[1,3,4,2,6,5,7]=>{{1},{2,3,4},{5,6},{7}}=>{{1},{2,3,4},{5,6},{7}}
[7,2,6,5,1,4,3]=>[1,4,2,6,3,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,2,6,5,3,1,4]=>[1,4,2,6,3,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,2,6,5,3,4,1]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[7,2,6,5,4,1,3]=>[1,3,2,6,4,5,7]=>{{1},{2,3},{4,5,6},{7}}=>{{1},{2,3},{4,5,6},{7}}
[7,2,6,5,4,3,1]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[7,3,1,2,4,5,6]=>[1,2,4,5,6,3,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[7,3,1,2,4,6,5]=>[1,2,4,6,3,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[7,3,1,2,5,4,6]=>[1,2,5,3,4,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6},{7}}
[7,3,1,2,5,6,4]=>[1,2,5,6,3,4,7]=>{{1},{2},{3,5},{4,6},{7}}=>{{1},{2},{3,6},{4,5},{7}}
[7,3,1,2,6,4,5]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[7,3,1,2,6,5,4]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[7,3,1,4,2,5,6]=>[1,4,2,5,6,3,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,3,1,4,2,6,5]=>[1,4,2,6,3,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,3,1,4,5,2,6]=>[1,4,5,2,6,3,7]=>{{1},{2,4},{3,5,6},{7}}=>{{1},{2,5,6},{3,4},{7}}
[7,3,1,4,5,6,2]=>[1,4,5,6,2,3,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,3,1,4,6,2,5]=>[1,4,6,2,5,3,7]=>{{1},{2,4},{3,6},{5},{7}}=>{{1},{2,6},{3,4},{5},{7}}
[7,3,1,4,6,5,2]=>[1,4,6,2,3,5,7]=>{{1},{2,4},{3,5,6},{7}}=>{{1},{2,5,6},{3,4},{7}}
[7,3,1,5,2,4,6]=>[1,5,2,4,6,3,7]=>{{1},{2,3,5,6},{4},{7}}=>{{1},{2,3,5,6},{4},{7}}
[7,3,1,5,2,6,4]=>[1,5,2,6,3,4,7]=>{{1},{2,3,5},{4,6},{7}}=>{{1},{2,3,6},{4,5},{7}}
[7,3,1,5,4,2,6]=>[1,5,2,6,3,4,7]=>{{1},{2,3,5},{4,6},{7}}=>{{1},{2,3,6},{4,5},{7}}
[7,3,1,5,4,6,2]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[7,3,1,5,6,2,4]=>[1,5,6,2,4,3,7]=>{{1},{2,4,5},{3,6},{7}}=>{{1},{2,5},{3,4,6},{7}}
[7,3,1,5,6,4,2]=>[1,5,6,2,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,3,1,6,2,4,5]=>[1,6,2,4,5,3,7]=>{{1},{2,3,6},{4},{5},{7}}=>{{1},{2,3,6},{4},{5},{7}}
[7,3,1,6,2,5,4]=>[1,6,2,5,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,3,1,6,4,2,5]=>[1,6,2,5,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,3,1,6,4,5,2]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,3,1,6,5,2,4]=>[1,6,2,4,3,5,7]=>{{1},{2,3,5,6},{4},{7}}=>{{1},{2,3,5,6},{4},{7}}
[7,3,1,6,5,4,2]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,3,2,1,4,5,6]=>[1,4,5,6,2,3,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,3,2,1,4,6,5]=>[1,4,6,2,3,5,7]=>{{1},{2,4},{3,5,6},{7}}=>{{1},{2,5,6},{3,4},{7}}
[7,3,2,1,5,4,6]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[7,3,2,1,5,6,4]=>[1,5,6,2,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,3,2,1,6,4,5]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,3,2,1,6,5,4]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,3,2,4,1,5,6]=>[1,5,6,2,4,3,7]=>{{1},{2,4,5},{3,6},{7}}=>{{1},{2,5},{3,4,6},{7}}
[7,3,2,4,1,6,5]=>[1,6,2,4,3,5,7]=>{{1},{2,3,5,6},{4},{7}}=>{{1},{2,3,5,6},{4},{7}}
[7,3,2,4,5,1,6]=>[1,6,2,4,5,3,7]=>{{1},{2,3,6},{4},{5},{7}}=>{{1},{2,3,6},{4},{5},{7}}
[7,3,2,4,5,6,1]=>[1,2,4,5,6,3,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[7,3,2,4,6,1,5]=>[1,5,2,4,6,3,7]=>{{1},{2,3,5,6},{4},{7}}=>{{1},{2,3,5,6},{4},{7}}
[7,3,2,4,6,5,1]=>[1,2,4,6,3,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[7,3,2,5,1,4,6]=>[1,4,6,2,5,3,7]=>{{1},{2,4},{3,6},{5},{7}}=>{{1},{2,6},{3,4},{5},{7}}
[7,3,2,5,1,6,4]=>[1,6,2,5,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,3,2,5,4,1,6]=>[1,6,2,5,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,3,2,5,4,6,1]=>[1,2,5,3,4,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6},{7}}
[7,3,2,5,6,1,4]=>[1,4,2,5,6,3,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,3,2,5,6,4,1]=>[1,2,5,6,3,4,7]=>{{1},{2},{3,5},{4,6},{7}}=>{{1},{2},{3,6},{4,5},{7}}
[7,3,2,6,1,4,5]=>[1,4,5,2,6,3,7]=>{{1},{2,4},{3,5,6},{7}}=>{{1},{2,5,6},{3,4},{7}}
[7,3,2,6,1,5,4]=>[1,5,2,6,3,4,7]=>{{1},{2,3,5},{4,6},{7}}=>{{1},{2,3,6},{4,5},{7}}
[7,3,2,6,4,1,5]=>[1,5,2,6,3,4,7]=>{{1},{2,3,5},{4,6},{7}}=>{{1},{2,3,6},{4,5},{7}}
[7,3,2,6,4,5,1]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[7,3,2,6,5,1,4]=>[1,4,2,6,3,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,3,2,6,5,4,1]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[7,3,4,1,2,5,6]=>[1,2,5,6,3,4,7]=>{{1},{2},{3,5},{4,6},{7}}=>{{1},{2},{3,6},{4,5},{7}}
[7,3,4,1,2,6,5]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[7,3,4,1,5,2,6]=>[1,5,2,6,3,4,7]=>{{1},{2,3,5},{4,6},{7}}=>{{1},{2,3,6},{4,5},{7}}
[7,3,4,1,5,6,2]=>[1,5,6,2,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,3,4,1,6,2,5]=>[1,6,2,5,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,3,4,1,6,5,2]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,3,4,2,1,5,6]=>[1,5,6,2,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,3,4,2,1,6,5]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,3,4,2,5,1,6]=>[1,6,2,5,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,3,4,2,5,6,1]=>[1,2,5,6,3,4,7]=>{{1},{2},{3,5},{4,6},{7}}=>{{1},{2},{3,6},{4,5},{7}}
[7,3,4,2,6,1,5]=>[1,5,2,6,3,4,7]=>{{1},{2,3,5},{4,6},{7}}=>{{1},{2,3,6},{4,5},{7}}
[7,3,4,2,6,5,1]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[7,3,4,5,1,2,6]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[7,3,4,5,1,6,2]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,3,4,5,2,1,6]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,3,4,5,2,6,1]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[7,3,4,5,6,1,2]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[7,3,4,5,6,2,1]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[7,3,4,6,1,2,5]=>[1,2,5,3,4,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6},{7}}
[7,3,4,6,1,5,2]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[7,3,4,6,2,1,5]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[7,3,4,6,2,5,1]=>[1,2,5,3,4,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6},{7}}
[7,3,4,6,5,1,2]=>[1,2,3,4,6,5,7]=>{{1},{2},{3},{4},{5,6},{7}}=>{{1},{2},{3},{4},{5,6},{7}}
[7,3,4,6,5,2,1]=>[1,2,3,4,6,5,7]=>{{1},{2},{3},{4},{5,6},{7}}=>{{1},{2},{3},{4},{5,6},{7}}
[7,3,5,1,2,4,6]=>[1,2,4,6,3,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[7,3,5,1,2,6,4]=>[1,2,6,3,5,4,7]=>{{1},{2},{3,4,6},{5},{7}}=>{{1},{2},{3,4,6},{5},{7}}
[7,3,5,1,4,2,6]=>[1,4,2,6,3,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,3,5,1,4,6,2]=>[1,4,6,2,3,5,7]=>{{1},{2,4},{3,5,6},{7}}=>{{1},{2,5,6},{3,4},{7}}
[7,3,5,1,6,2,4]=>[1,6,2,4,3,5,7]=>{{1},{2,3,5,6},{4},{7}}=>{{1},{2,3,5,6},{4},{7}}
[7,3,5,1,6,4,2]=>[1,6,2,3,5,4,7]=>{{1},{2,3,4,6},{5},{7}}=>{{1},{2,3,4,6},{5},{7}}
[7,3,5,2,1,4,6]=>[1,4,6,2,3,5,7]=>{{1},{2,4},{3,5,6},{7}}=>{{1},{2,5,6},{3,4},{7}}
[7,3,5,2,1,6,4]=>[1,6,2,3,5,4,7]=>{{1},{2,3,4,6},{5},{7}}=>{{1},{2,3,4,6},{5},{7}}
[7,3,5,2,4,1,6]=>[1,6,2,4,3,5,7]=>{{1},{2,3,5,6},{4},{7}}=>{{1},{2,3,5,6},{4},{7}}
[7,3,5,2,4,6,1]=>[1,2,4,6,3,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[7,3,5,2,6,1,4]=>[1,4,2,6,3,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,3,5,2,6,4,1]=>[1,2,6,3,5,4,7]=>{{1},{2},{3,4,6},{5},{7}}=>{{1},{2},{3,4,6},{5},{7}}
[7,3,5,4,1,2,6]=>[1,2,6,3,5,4,7]=>{{1},{2},{3,4,6},{5},{7}}=>{{1},{2},{3,4,6},{5},{7}}
[7,3,5,4,1,6,2]=>[1,6,2,3,5,4,7]=>{{1},{2,3,4,6},{5},{7}}=>{{1},{2,3,4,6},{5},{7}}
[7,3,5,4,2,1,6]=>[1,6,2,3,5,4,7]=>{{1},{2,3,4,6},{5},{7}}=>{{1},{2,3,4,6},{5},{7}}
[7,3,5,4,2,6,1]=>[1,2,6,3,5,4,7]=>{{1},{2},{3,4,6},{5},{7}}=>{{1},{2},{3,4,6},{5},{7}}
[7,3,5,4,6,1,2]=>[1,2,3,5,4,6,7]=>{{1},{2},{3},{4,5},{6},{7}}=>{{1},{2},{3},{4,5},{6},{7}}
[7,3,5,4,6,2,1]=>[1,2,3,5,4,6,7]=>{{1},{2},{3},{4,5},{6},{7}}=>{{1},{2},{3},{4,5},{6},{7}}
[7,3,5,6,1,2,4]=>[1,2,4,3,5,6,7]=>{{1},{2},{3,4},{5},{6},{7}}=>{{1},{2},{3,4},{5},{6},{7}}
[7,3,5,6,1,4,2]=>[1,4,2,3,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>{{1},{2,3,4},{5},{6},{7}}
[7,3,5,6,2,1,4]=>[1,4,2,3,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>{{1},{2,3,4},{5},{6},{7}}
[7,3,5,6,2,4,1]=>[1,2,4,3,5,6,7]=>{{1},{2},{3,4},{5},{6},{7}}=>{{1},{2},{3,4},{5},{6},{7}}
[7,3,5,6,4,1,2]=>[1,2,3,5,6,4,7]=>{{1},{2},{3},{4,5,6},{7}}=>{{1},{2},{3},{4,5,6},{7}}
[7,3,5,6,4,2,1]=>[1,2,3,5,6,4,7]=>{{1},{2},{3},{4,5,6},{7}}=>{{1},{2},{3},{4,5,6},{7}}
[7,3,6,1,2,4,5]=>[1,2,4,5,3,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6},{7}}
[7,3,6,1,2,5,4]=>[1,2,5,3,6,4,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[7,3,6,1,4,2,5]=>[1,4,2,5,3,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[7,3,6,1,4,5,2]=>[1,4,5,2,3,6,7]=>{{1},{2,4},{3,5},{6},{7}}=>{{1},{2,5},{3,4},{6},{7}}
[7,3,6,1,5,2,4]=>[1,5,2,4,3,6,7]=>{{1},{2,3,5},{4},{6},{7}}=>{{1},{2,3,5},{4},{6},{7}}
[7,3,6,1,5,4,2]=>[1,5,2,3,6,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,3,6,2,1,4,5]=>[1,4,5,2,3,6,7]=>{{1},{2,4},{3,5},{6},{7}}=>{{1},{2,5},{3,4},{6},{7}}
[7,3,6,2,1,5,4]=>[1,5,2,3,6,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,3,6,2,4,1,5]=>[1,5,2,4,3,6,7]=>{{1},{2,3,5},{4},{6},{7}}=>{{1},{2,3,5},{4},{6},{7}}
[7,3,6,2,4,5,1]=>[1,2,4,5,3,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6},{7}}
[7,3,6,2,5,1,4]=>[1,4,2,5,3,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[7,3,6,2,5,4,1]=>[1,2,5,3,6,4,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[7,3,6,4,1,2,5]=>[1,2,5,3,6,4,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[7,3,6,4,1,5,2]=>[1,5,2,3,6,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,3,6,4,2,1,5]=>[1,5,2,3,6,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,3,6,4,2,5,1]=>[1,2,5,3,6,4,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[7,3,6,4,5,1,2]=>[1,2,3,6,4,5,7]=>{{1},{2},{3},{4,5,6},{7}}=>{{1},{2},{3},{4,5,6},{7}}
[7,3,6,4,5,2,1]=>[1,2,3,6,4,5,7]=>{{1},{2},{3},{4,5,6},{7}}=>{{1},{2},{3},{4,5,6},{7}}
[7,3,6,5,1,2,4]=>[1,2,4,3,6,5,7]=>{{1},{2},{3,4},{5,6},{7}}=>{{1},{2},{3,4},{5,6},{7}}
[7,3,6,5,1,4,2]=>[1,4,2,3,6,5,7]=>{{1},{2,3,4},{5,6},{7}}=>{{1},{2,3,4},{5,6},{7}}
[7,3,6,5,2,1,4]=>[1,4,2,3,6,5,7]=>{{1},{2,3,4},{5,6},{7}}=>{{1},{2,3,4},{5,6},{7}}
[7,3,6,5,2,4,1]=>[1,2,4,3,6,5,7]=>{{1},{2},{3,4},{5,6},{7}}=>{{1},{2},{3,4},{5,6},{7}}
[7,3,6,5,4,1,2]=>[1,2,3,6,4,5,7]=>{{1},{2},{3},{4,5,6},{7}}=>{{1},{2},{3},{4,5,6},{7}}
[7,3,6,5,4,2,1]=>[1,2,3,6,4,5,7]=>{{1},{2},{3},{4,5,6},{7}}=>{{1},{2},{3},{4,5,6},{7}}
[7,4,1,2,3,5,6]=>[1,2,3,5,6,4,7]=>{{1},{2},{3},{4,5,6},{7}}=>{{1},{2},{3},{4,5,6},{7}}
[7,4,1,2,3,6,5]=>[1,2,3,6,4,5,7]=>{{1},{2},{3},{4,5,6},{7}}=>{{1},{2},{3},{4,5,6},{7}}
[7,4,1,2,5,3,6]=>[1,2,5,3,6,4,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[7,4,1,2,5,6,3]=>[1,2,5,6,3,4,7]=>{{1},{2},{3,5},{4,6},{7}}=>{{1},{2},{3,6},{4,5},{7}}
[7,4,1,2,6,3,5]=>[1,2,6,3,5,4,7]=>{{1},{2},{3,4,6},{5},{7}}=>{{1},{2},{3,4,6},{5},{7}}
[7,4,1,2,6,5,3]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[7,4,1,3,2,5,6]=>[1,3,2,5,6,4,7]=>{{1},{2,3},{4,5,6},{7}}=>{{1},{2,3},{4,5,6},{7}}
[7,4,1,3,2,6,5]=>[1,3,2,6,4,5,7]=>{{1},{2,3},{4,5,6},{7}}=>{{1},{2,3},{4,5,6},{7}}
[7,4,1,3,5,2,6]=>[1,3,5,2,6,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,4,1,3,5,6,2]=>[1,3,5,6,2,4,7]=>{{1},{2,3,5},{4,6},{7}}=>{{1},{2,3,6},{4,5},{7}}
[7,4,1,3,6,2,5]=>[1,3,6,2,5,4,7]=>{{1},{2,3,4,6},{5},{7}}=>{{1},{2,3,4,6},{5},{7}}
[7,4,1,3,6,5,2]=>[1,3,6,2,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,4,1,5,2,3,6]=>[1,5,2,3,6,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,4,1,5,2,6,3]=>[1,5,2,6,3,4,7]=>{{1},{2,3,5},{4,6},{7}}=>{{1},{2,3,6},{4,5},{7}}
[7,4,1,5,3,2,6]=>[1,5,2,6,3,4,7]=>{{1},{2,3,5},{4,6},{7}}=>{{1},{2,3,6},{4,5},{7}}
[7,4,1,5,3,6,2]=>[1,5,2,3,6,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,4,1,5,6,2,3]=>[1,5,6,2,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,4,1,5,6,3,2]=>[1,5,6,2,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,4,1,6,2,3,5]=>[1,6,2,3,5,4,7]=>{{1},{2,3,4,6},{5},{7}}=>{{1},{2,3,4,6},{5},{7}}
[7,4,1,6,2,5,3]=>[1,6,2,5,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,4,1,6,3,2,5]=>[1,6,2,5,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,4,1,6,3,5,2]=>[1,6,2,3,5,4,7]=>{{1},{2,3,4,6},{5},{7}}=>{{1},{2,3,4,6},{5},{7}}
[7,4,1,6,5,2,3]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,4,1,6,5,3,2]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,4,2,1,3,5,6]=>[1,3,5,6,2,4,7]=>{{1},{2,3,5},{4,6},{7}}=>{{1},{2,3,6},{4,5},{7}}
[7,4,2,1,3,6,5]=>[1,3,6,2,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,4,2,1,5,3,6]=>[1,5,2,3,6,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,4,2,1,5,6,3]=>[1,5,6,2,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,4,2,1,6,3,5]=>[1,6,2,3,5,4,7]=>{{1},{2,3,4,6},{5},{7}}=>{{1},{2,3,4,6},{5},{7}}
[7,4,2,1,6,5,3]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,4,2,3,1,5,6]=>[1,5,6,2,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,4,2,3,1,6,5]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,4,2,3,5,1,6]=>[1,6,2,3,5,4,7]=>{{1},{2,3,4,6},{5},{7}}=>{{1},{2,3,4,6},{5},{7}}
[7,4,2,3,5,6,1]=>[1,2,3,5,6,4,7]=>{{1},{2},{3},{4,5,6},{7}}=>{{1},{2},{3},{4,5,6},{7}}
[7,4,2,3,6,1,5]=>[1,5,2,3,6,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,4,2,3,6,5,1]=>[1,2,3,6,4,5,7]=>{{1},{2},{3},{4,5,6},{7}}=>{{1},{2},{3},{4,5,6},{7}}
[7,4,2,5,1,3,6]=>[1,3,6,2,5,4,7]=>{{1},{2,3,4,6},{5},{7}}=>{{1},{2,3,4,6},{5},{7}}
[7,4,2,5,1,6,3]=>[1,6,2,5,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,4,2,5,3,1,6]=>[1,6,2,5,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,4,2,5,3,6,1]=>[1,2,5,3,6,4,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[7,4,2,5,6,1,3]=>[1,3,2,5,6,4,7]=>{{1},{2,3},{4,5,6},{7}}=>{{1},{2,3},{4,5,6},{7}}
[7,4,2,5,6,3,1]=>[1,2,5,6,3,4,7]=>{{1},{2},{3,5},{4,6},{7}}=>{{1},{2},{3,6},{4,5},{7}}
[7,4,2,6,1,3,5]=>[1,3,5,2,6,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,4,2,6,1,5,3]=>[1,5,2,6,3,4,7]=>{{1},{2,3,5},{4,6},{7}}=>{{1},{2,3,6},{4,5},{7}}
[7,4,2,6,3,1,5]=>[1,5,2,6,3,4,7]=>{{1},{2,3,5},{4,6},{7}}=>{{1},{2,3,6},{4,5},{7}}
[7,4,2,6,3,5,1]=>[1,2,6,3,5,4,7]=>{{1},{2},{3,4,6},{5},{7}}=>{{1},{2},{3,4,6},{5},{7}}
[7,4,2,6,5,1,3]=>[1,3,2,6,4,5,7]=>{{1},{2,3},{4,5,6},{7}}=>{{1},{2,3},{4,5,6},{7}}
[7,4,2,6,5,3,1]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[7,4,3,1,2,5,6]=>[1,2,5,6,3,4,7]=>{{1},{2},{3,5},{4,6},{7}}=>{{1},{2},{3,6},{4,5},{7}}
[7,4,3,1,2,6,5]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[7,4,3,1,5,2,6]=>[1,5,2,6,3,4,7]=>{{1},{2,3,5},{4,6},{7}}=>{{1},{2,3,6},{4,5},{7}}
[7,4,3,1,5,6,2]=>[1,5,6,2,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,4,3,1,6,2,5]=>[1,6,2,5,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,4,3,1,6,5,2]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,4,3,2,1,5,6]=>[1,5,6,2,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,4,3,2,1,6,5]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,4,3,2,5,1,6]=>[1,6,2,5,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,4,3,2,5,6,1]=>[1,2,5,6,3,4,7]=>{{1},{2},{3,5},{4,6},{7}}=>{{1},{2},{3,6},{4,5},{7}}
[7,4,3,2,6,1,5]=>[1,5,2,6,3,4,7]=>{{1},{2,3,5},{4,6},{7}}=>{{1},{2,3,6},{4,5},{7}}
[7,4,3,2,6,5,1]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[7,4,3,5,1,2,6]=>[1,2,6,3,5,4,7]=>{{1},{2},{3,4,6},{5},{7}}=>{{1},{2},{3,4,6},{5},{7}}
[7,4,3,5,1,6,2]=>[1,6,2,3,5,4,7]=>{{1},{2,3,4,6},{5},{7}}=>{{1},{2,3,4,6},{5},{7}}
[7,4,3,5,2,1,6]=>[1,6,2,3,5,4,7]=>{{1},{2,3,4,6},{5},{7}}=>{{1},{2,3,4,6},{5},{7}}
[7,4,3,5,2,6,1]=>[1,2,6,3,5,4,7]=>{{1},{2},{3,4,6},{5},{7}}=>{{1},{2},{3,4,6},{5},{7}}
[7,4,3,5,6,1,2]=>[1,2,3,5,6,4,7]=>{{1},{2},{3},{4,5,6},{7}}=>{{1},{2},{3},{4,5,6},{7}}
[7,4,3,5,6,2,1]=>[1,2,3,5,6,4,7]=>{{1},{2},{3},{4,5,6},{7}}=>{{1},{2},{3},{4,5,6},{7}}
[7,4,3,6,1,2,5]=>[1,2,5,3,6,4,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[7,4,3,6,1,5,2]=>[1,5,2,3,6,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,4,3,6,2,1,5]=>[1,5,2,3,6,4,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,4,3,6,2,5,1]=>[1,2,5,3,6,4,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[7,4,3,6,5,1,2]=>[1,2,3,6,4,5,7]=>{{1},{2},{3},{4,5,6},{7}}=>{{1},{2},{3},{4,5,6},{7}}
[7,4,3,6,5,2,1]=>[1,2,3,6,4,5,7]=>{{1},{2},{3},{4,5,6},{7}}=>{{1},{2},{3},{4,5,6},{7}}
[7,4,5,1,2,3,6]=>[1,2,3,6,4,5,7]=>{{1},{2},{3},{4,5,6},{7}}=>{{1},{2},{3},{4,5,6},{7}}
[7,4,5,1,2,6,3]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[7,4,5,1,3,2,6]=>[1,3,2,6,4,5,7]=>{{1},{2,3},{4,5,6},{7}}=>{{1},{2,3},{4,5,6},{7}}
[7,4,5,1,3,6,2]=>[1,3,6,2,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,4,5,1,6,2,3]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,4,5,1,6,3,2]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,4,5,2,1,3,6]=>[1,3,6,2,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,4,5,2,1,6,3]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,4,5,2,3,1,6]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,4,5,2,3,6,1]=>[1,2,3,6,4,5,7]=>{{1},{2},{3},{4,5,6},{7}}=>{{1},{2},{3},{4,5,6},{7}}
[7,4,5,2,6,1,3]=>[1,3,2,6,4,5,7]=>{{1},{2,3},{4,5,6},{7}}=>{{1},{2,3},{4,5,6},{7}}
[7,4,5,2,6,3,1]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[7,4,5,3,1,2,6]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[7,4,5,3,1,6,2]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,4,5,3,2,1,6]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,4,5,3,2,6,1]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[7,4,5,3,6,1,2]=>[1,2,3,6,4,5,7]=>{{1},{2},{3},{4,5,6},{7}}=>{{1},{2},{3},{4,5,6},{7}}
[7,4,5,3,6,2,1]=>[1,2,3,6,4,5,7]=>{{1},{2},{3},{4,5,6},{7}}=>{{1},{2},{3},{4,5,6},{7}}
[7,4,5,6,1,2,3]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[7,4,5,6,1,3,2]=>[1,3,2,4,5,6,7]=>{{1},{2,3},{4},{5},{6},{7}}=>{{1},{2,3},{4},{5},{6},{7}}
[7,4,5,6,2,1,3]=>[1,3,2,4,5,6,7]=>{{1},{2,3},{4},{5},{6},{7}}=>{{1},{2,3},{4},{5},{6},{7}}
[7,4,5,6,2,3,1]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[7,4,5,6,3,1,2]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[7,4,5,6,3,2,1]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[7,4,6,1,2,3,5]=>[1,2,3,5,4,6,7]=>{{1},{2},{3},{4,5},{6},{7}}=>{{1},{2},{3},{4,5},{6},{7}}
[7,4,6,1,2,5,3]=>[1,2,5,3,4,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6},{7}}
[7,4,6,1,3,2,5]=>[1,3,2,5,4,6,7]=>{{1},{2,3},{4,5},{6},{7}}=>{{1},{2,3},{4,5},{6},{7}}
[7,4,6,1,3,5,2]=>[1,3,5,2,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[7,4,6,1,5,2,3]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[7,4,6,1,5,3,2]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[7,4,6,2,1,3,5]=>[1,3,5,2,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[7,4,6,2,1,5,3]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[7,4,6,2,3,1,5]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[7,4,6,2,3,5,1]=>[1,2,3,5,4,6,7]=>{{1},{2},{3},{4,5},{6},{7}}=>{{1},{2},{3},{4,5},{6},{7}}
[7,4,6,2,5,1,3]=>[1,3,2,5,4,6,7]=>{{1},{2,3},{4,5},{6},{7}}=>{{1},{2,3},{4,5},{6},{7}}
[7,4,6,2,5,3,1]=>[1,2,5,3,4,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6},{7}}
[7,4,6,3,1,2,5]=>[1,2,5,3,4,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6},{7}}
[7,4,6,3,1,5,2]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[7,4,6,3,2,1,5]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[7,4,6,3,2,5,1]=>[1,2,5,3,4,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6},{7}}
[7,4,6,3,5,1,2]=>[1,2,3,5,4,6,7]=>{{1},{2},{3},{4,5},{6},{7}}=>{{1},{2},{3},{4,5},{6},{7}}
[7,4,6,3,5,2,1]=>[1,2,3,5,4,6,7]=>{{1},{2},{3},{4,5},{6},{7}}=>{{1},{2},{3},{4,5},{6},{7}}
[7,4,6,5,1,2,3]=>[1,2,3,4,6,5,7]=>{{1},{2},{3},{4},{5,6},{7}}=>{{1},{2},{3},{4},{5,6},{7}}
[7,4,6,5,1,3,2]=>[1,3,2,4,6,5,7]=>{{1},{2,3},{4},{5,6},{7}}=>{{1},{2,3},{4},{5,6},{7}}
[7,4,6,5,2,1,3]=>[1,3,2,4,6,5,7]=>{{1},{2,3},{4},{5,6},{7}}=>{{1},{2,3},{4},{5,6},{7}}
[7,4,6,5,2,3,1]=>[1,2,3,4,6,5,7]=>{{1},{2},{3},{4},{5,6},{7}}=>{{1},{2},{3},{4},{5,6},{7}}
[7,4,6,5,3,1,2]=>[1,2,3,4,6,5,7]=>{{1},{2},{3},{4},{5,6},{7}}=>{{1},{2},{3},{4},{5,6},{7}}
[7,4,6,5,3,2,1]=>[1,2,3,4,6,5,7]=>{{1},{2},{3},{4},{5,6},{7}}=>{{1},{2},{3},{4},{5,6},{7}}
[7,5,1,2,3,4,6]=>[1,2,3,4,6,5,7]=>{{1},{2},{3},{4},{5,6},{7}}=>{{1},{2},{3},{4},{5,6},{7}}
[7,5,1,2,3,6,4]=>[1,2,3,6,4,5,7]=>{{1},{2},{3},{4,5,6},{7}}=>{{1},{2},{3},{4,5,6},{7}}
[7,5,1,2,4,3,6]=>[1,2,4,3,6,5,7]=>{{1},{2},{3,4},{5,6},{7}}=>{{1},{2},{3,4},{5,6},{7}}
[7,5,1,2,4,6,3]=>[1,2,4,6,3,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[7,5,1,2,6,3,4]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[7,5,1,2,6,4,3]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[7,5,1,3,2,4,6]=>[1,3,2,4,6,5,7]=>{{1},{2,3},{4},{5,6},{7}}=>{{1},{2,3},{4},{5,6},{7}}
[7,5,1,3,2,6,4]=>[1,3,2,6,4,5,7]=>{{1},{2,3},{4,5,6},{7}}=>{{1},{2,3},{4,5,6},{7}}
[7,5,1,3,4,2,6]=>[1,3,4,2,6,5,7]=>{{1},{2,3,4},{5,6},{7}}=>{{1},{2,3,4},{5,6},{7}}
[7,5,1,3,4,6,2]=>[1,3,4,6,2,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,5,1,3,6,2,4]=>[1,3,6,2,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,5,1,3,6,4,2]=>[1,3,6,2,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,5,1,4,2,3,6]=>[1,4,2,3,6,5,7]=>{{1},{2,3,4},{5,6},{7}}=>{{1},{2,3,4},{5,6},{7}}
[7,5,1,4,2,6,3]=>[1,4,2,6,3,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,5,1,4,3,2,6]=>[1,4,2,6,3,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,5,1,4,3,6,2]=>[1,4,2,3,6,5,7]=>{{1},{2,3,4},{5,6},{7}}=>{{1},{2,3,4},{5,6},{7}}
[7,5,1,4,6,2,3]=>[1,4,6,2,3,5,7]=>{{1},{2,4},{3,5,6},{7}}=>{{1},{2,5,6},{3,4},{7}}
[7,5,1,4,6,3,2]=>[1,4,6,2,3,5,7]=>{{1},{2,4},{3,5,6},{7}}=>{{1},{2,5,6},{3,4},{7}}
[7,5,1,6,2,3,4]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,5,1,6,2,4,3]=>[1,6,2,4,3,5,7]=>{{1},{2,3,5,6},{4},{7}}=>{{1},{2,3,5,6},{4},{7}}
[7,5,1,6,3,2,4]=>[1,6,2,4,3,5,7]=>{{1},{2,3,5,6},{4},{7}}=>{{1},{2,3,5,6},{4},{7}}
[7,5,1,6,3,4,2]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,5,1,6,4,2,3]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,5,1,6,4,3,2]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,5,2,1,3,4,6]=>[1,3,4,6,2,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,5,2,1,3,6,4]=>[1,3,6,2,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,5,2,1,4,3,6]=>[1,4,2,3,6,5,7]=>{{1},{2,3,4},{5,6},{7}}=>{{1},{2,3,4},{5,6},{7}}
[7,5,2,1,4,6,3]=>[1,4,6,2,3,5,7]=>{{1},{2,4},{3,5,6},{7}}=>{{1},{2,5,6},{3,4},{7}}
[7,5,2,1,6,3,4]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,5,2,1,6,4,3]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,5,2,3,1,4,6]=>[1,4,6,2,3,5,7]=>{{1},{2,4},{3,5,6},{7}}=>{{1},{2,5,6},{3,4},{7}}
[7,5,2,3,1,6,4]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,5,2,3,4,1,6]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,5,2,3,4,6,1]=>[1,2,3,4,6,5,7]=>{{1},{2},{3},{4},{5,6},{7}}=>{{1},{2},{3},{4},{5,6},{7}}
[7,5,2,3,6,1,4]=>[1,4,2,3,6,5,7]=>{{1},{2,3,4},{5,6},{7}}=>{{1},{2,3,4},{5,6},{7}}
[7,5,2,3,6,4,1]=>[1,2,3,6,4,5,7]=>{{1},{2},{3},{4,5,6},{7}}=>{{1},{2},{3},{4,5,6},{7}}
[7,5,2,4,1,3,6]=>[1,3,6,2,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,5,2,4,1,6,3]=>[1,6,2,4,3,5,7]=>{{1},{2,3,5,6},{4},{7}}=>{{1},{2,3,5,6},{4},{7}}
[7,5,2,4,3,1,6]=>[1,6,2,4,3,5,7]=>{{1},{2,3,5,6},{4},{7}}=>{{1},{2,3,5,6},{4},{7}}
[7,5,2,4,3,6,1]=>[1,2,4,3,6,5,7]=>{{1},{2},{3,4},{5,6},{7}}=>{{1},{2},{3,4},{5,6},{7}}
[7,5,2,4,6,1,3]=>[1,3,2,4,6,5,7]=>{{1},{2,3},{4},{5,6},{7}}=>{{1},{2,3},{4},{5,6},{7}}
[7,5,2,4,6,3,1]=>[1,2,4,6,3,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[7,5,2,6,1,3,4]=>[1,3,4,2,6,5,7]=>{{1},{2,3,4},{5,6},{7}}=>{{1},{2,3,4},{5,6},{7}}
[7,5,2,6,1,4,3]=>[1,4,2,6,3,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,5,2,6,3,1,4]=>[1,4,2,6,3,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,5,2,6,3,4,1]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[7,5,2,6,4,1,3]=>[1,3,2,6,4,5,7]=>{{1},{2,3},{4,5,6},{7}}=>{{1},{2,3},{4,5,6},{7}}
[7,5,2,6,4,3,1]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[7,5,3,1,2,4,6]=>[1,2,4,6,3,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[7,5,3,1,2,6,4]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[7,5,3,1,4,2,6]=>[1,4,2,6,3,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,5,3,1,4,6,2]=>[1,4,6,2,3,5,7]=>{{1},{2,4},{3,5,6},{7}}=>{{1},{2,5,6},{3,4},{7}}
[7,5,3,1,6,2,4]=>[1,6,2,4,3,5,7]=>{{1},{2,3,5,6},{4},{7}}=>{{1},{2,3,5,6},{4},{7}}
[7,5,3,1,6,4,2]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,5,3,2,1,4,6]=>[1,4,6,2,3,5,7]=>{{1},{2,4},{3,5,6},{7}}=>{{1},{2,5,6},{3,4},{7}}
[7,5,3,2,1,6,4]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,5,3,2,4,1,6]=>[1,6,2,4,3,5,7]=>{{1},{2,3,5,6},{4},{7}}=>{{1},{2,3,5,6},{4},{7}}
[7,5,3,2,4,6,1]=>[1,2,4,6,3,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[7,5,3,2,6,1,4]=>[1,4,2,6,3,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,5,3,2,6,4,1]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[7,5,3,4,1,2,6]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[7,5,3,4,1,6,2]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,5,3,4,2,1,6]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,5,3,4,2,6,1]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[7,5,3,4,6,1,2]=>[1,2,3,4,6,5,7]=>{{1},{2},{3},{4},{5,6},{7}}=>{{1},{2},{3},{4},{5,6},{7}}
[7,5,3,4,6,2,1]=>[1,2,3,4,6,5,7]=>{{1},{2},{3},{4},{5,6},{7}}=>{{1},{2},{3},{4},{5,6},{7}}
[7,5,3,6,1,2,4]=>[1,2,4,3,6,5,7]=>{{1},{2},{3,4},{5,6},{7}}=>{{1},{2},{3,4},{5,6},{7}}
[7,5,3,6,1,4,2]=>[1,4,2,3,6,5,7]=>{{1},{2,3,4},{5,6},{7}}=>{{1},{2,3,4},{5,6},{7}}
[7,5,3,6,2,1,4]=>[1,4,2,3,6,5,7]=>{{1},{2,3,4},{5,6},{7}}=>{{1},{2,3,4},{5,6},{7}}
[7,5,3,6,2,4,1]=>[1,2,4,3,6,5,7]=>{{1},{2},{3,4},{5,6},{7}}=>{{1},{2},{3,4},{5,6},{7}}
[7,5,3,6,4,1,2]=>[1,2,3,6,4,5,7]=>{{1},{2},{3},{4,5,6},{7}}=>{{1},{2},{3},{4,5,6},{7}}
[7,5,3,6,4,2,1]=>[1,2,3,6,4,5,7]=>{{1},{2},{3},{4,5,6},{7}}=>{{1},{2},{3},{4,5,6},{7}}
[7,5,4,1,2,3,6]=>[1,2,3,6,4,5,7]=>{{1},{2},{3},{4,5,6},{7}}=>{{1},{2},{3},{4,5,6},{7}}
[7,5,4,1,2,6,3]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[7,5,4,1,3,2,6]=>[1,3,2,6,4,5,7]=>{{1},{2,3},{4,5,6},{7}}=>{{1},{2,3},{4,5,6},{7}}
[7,5,4,1,3,6,2]=>[1,3,6,2,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,5,4,1,6,2,3]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,5,4,1,6,3,2]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,5,4,2,1,3,6]=>[1,3,6,2,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,5,4,2,1,6,3]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,5,4,2,3,1,6]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,5,4,2,3,6,1]=>[1,2,3,6,4,5,7]=>{{1},{2},{3},{4,5,6},{7}}=>{{1},{2},{3},{4,5,6},{7}}
[7,5,4,2,6,1,3]=>[1,3,2,6,4,5,7]=>{{1},{2,3},{4,5,6},{7}}=>{{1},{2,3},{4,5,6},{7}}
[7,5,4,2,6,3,1]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[7,5,4,3,1,2,6]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[7,5,4,3,1,6,2]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,5,4,3,2,1,6]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[7,5,4,3,2,6,1]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[7,5,4,3,6,1,2]=>[1,2,3,6,4,5,7]=>{{1},{2},{3},{4,5,6},{7}}=>{{1},{2},{3},{4,5,6},{7}}
[7,5,4,3,6,2,1]=>[1,2,3,6,4,5,7]=>{{1},{2},{3},{4,5,6},{7}}=>{{1},{2},{3},{4,5,6},{7}}
[7,5,4,6,1,2,3]=>[1,2,3,4,6,5,7]=>{{1},{2},{3},{4},{5,6},{7}}=>{{1},{2},{3},{4},{5,6},{7}}
[7,5,4,6,1,3,2]=>[1,3,2,4,6,5,7]=>{{1},{2,3},{4},{5,6},{7}}=>{{1},{2,3},{4},{5,6},{7}}
[7,5,4,6,2,1,3]=>[1,3,2,4,6,5,7]=>{{1},{2,3},{4},{5,6},{7}}=>{{1},{2,3},{4},{5,6},{7}}
[7,5,4,6,2,3,1]=>[1,2,3,4,6,5,7]=>{{1},{2},{3},{4},{5,6},{7}}=>{{1},{2},{3},{4},{5,6},{7}}
[7,5,4,6,3,1,2]=>[1,2,3,4,6,5,7]=>{{1},{2},{3},{4},{5,6},{7}}=>{{1},{2},{3},{4},{5,6},{7}}
[7,5,4,6,3,2,1]=>[1,2,3,4,6,5,7]=>{{1},{2},{3},{4},{5,6},{7}}=>{{1},{2},{3},{4},{5,6},{7}}
[7,5,6,1,2,3,4]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[7,5,6,1,2,4,3]=>[1,2,4,3,5,6,7]=>{{1},{2},{3,4},{5},{6},{7}}=>{{1},{2},{3,4},{5},{6},{7}}
[7,5,6,1,3,2,4]=>[1,3,2,4,5,6,7]=>{{1},{2,3},{4},{5},{6},{7}}=>{{1},{2,3},{4},{5},{6},{7}}
[7,5,6,1,3,4,2]=>[1,3,4,2,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>{{1},{2,3,4},{5},{6},{7}}
[7,5,6,1,4,2,3]=>[1,4,2,3,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>{{1},{2,3,4},{5},{6},{7}}
[7,5,6,1,4,3,2]=>[1,4,2,3,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>{{1},{2,3,4},{5},{6},{7}}
[7,5,6,2,1,3,4]=>[1,3,4,2,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>{{1},{2,3,4},{5},{6},{7}}
[7,5,6,2,1,4,3]=>[1,4,2,3,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>{{1},{2,3,4},{5},{6},{7}}
[7,5,6,2,3,1,4]=>[1,4,2,3,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>{{1},{2,3,4},{5},{6},{7}}
[7,5,6,2,3,4,1]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[7,5,6,2,4,1,3]=>[1,3,2,4,5,6,7]=>{{1},{2,3},{4},{5},{6},{7}}=>{{1},{2,3},{4},{5},{6},{7}}
[7,5,6,2,4,3,1]=>[1,2,4,3,5,6,7]=>{{1},{2},{3,4},{5},{6},{7}}=>{{1},{2},{3,4},{5},{6},{7}}
[7,5,6,3,1,2,4]=>[1,2,4,3,5,6,7]=>{{1},{2},{3,4},{5},{6},{7}}=>{{1},{2},{3,4},{5},{6},{7}}
[7,5,6,3,1,4,2]=>[1,4,2,3,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>{{1},{2,3,4},{5},{6},{7}}
[7,5,6,3,2,1,4]=>[1,4,2,3,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>{{1},{2,3,4},{5},{6},{7}}
[7,5,6,3,2,4,1]=>[1,2,4,3,5,6,7]=>{{1},{2},{3,4},{5},{6},{7}}=>{{1},{2},{3,4},{5},{6},{7}}
[7,5,6,3,4,1,2]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[7,5,6,3,4,2,1]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[7,5,6,4,1,2,3]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[7,5,6,4,1,3,2]=>[1,3,2,4,5,6,7]=>{{1},{2,3},{4},{5},{6},{7}}=>{{1},{2,3},{4},{5},{6},{7}}
[7,5,6,4,2,1,3]=>[1,3,2,4,5,6,7]=>{{1},{2,3},{4},{5},{6},{7}}=>{{1},{2,3},{4},{5},{6},{7}}
[7,5,6,4,2,3,1]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[7,5,6,4,3,1,2]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[7,5,6,4,3,2,1]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[7,6,1,2,3,4,5]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[7,6,1,2,3,5,4]=>[1,2,3,5,4,6,7]=>{{1},{2},{3},{4,5},{6},{7}}=>{{1},{2},{3},{4,5},{6},{7}}
[7,6,1,2,4,3,5]=>[1,2,4,3,5,6,7]=>{{1},{2},{3,4},{5},{6},{7}}=>{{1},{2},{3,4},{5},{6},{7}}
[7,6,1,2,4,5,3]=>[1,2,4,5,3,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6},{7}}
[7,6,1,2,5,3,4]=>[1,2,5,3,4,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6},{7}}
[7,6,1,2,5,4,3]=>[1,2,5,3,4,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6},{7}}
[7,6,1,3,2,4,5]=>[1,3,2,4,5,6,7]=>{{1},{2,3},{4},{5},{6},{7}}=>{{1},{2,3},{4},{5},{6},{7}}
[7,6,1,3,2,5,4]=>[1,3,2,5,4,6,7]=>{{1},{2,3},{4,5},{6},{7}}=>{{1},{2,3},{4,5},{6},{7}}
[7,6,1,3,4,2,5]=>[1,3,4,2,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>{{1},{2,3,4},{5},{6},{7}}
[7,6,1,3,4,5,2]=>[1,3,4,5,2,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[7,6,1,3,5,2,4]=>[1,3,5,2,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[7,6,1,3,5,4,2]=>[1,3,5,2,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[7,6,1,4,2,3,5]=>[1,4,2,3,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>{{1},{2,3,4},{5},{6},{7}}
[7,6,1,4,2,5,3]=>[1,4,2,5,3,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[7,6,1,4,3,2,5]=>[1,4,2,5,3,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[7,6,1,4,3,5,2]=>[1,4,2,3,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>{{1},{2,3,4},{5},{6},{7}}
[7,6,1,4,5,2,3]=>[1,4,5,2,3,6,7]=>{{1},{2,4},{3,5},{6},{7}}=>{{1},{2,5},{3,4},{6},{7}}
[7,6,1,4,5,3,2]=>[1,4,5,2,3,6,7]=>{{1},{2,4},{3,5},{6},{7}}=>{{1},{2,5},{3,4},{6},{7}}
[7,6,1,5,2,3,4]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[7,6,1,5,2,4,3]=>[1,5,2,4,3,6,7]=>{{1},{2,3,5},{4},{6},{7}}=>{{1},{2,3,5},{4},{6},{7}}
[7,6,1,5,3,2,4]=>[1,5,2,4,3,6,7]=>{{1},{2,3,5},{4},{6},{7}}=>{{1},{2,3,5},{4},{6},{7}}
[7,6,1,5,3,4,2]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[7,6,1,5,4,2,3]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[7,6,1,5,4,3,2]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[7,6,2,1,3,4,5]=>[1,3,4,5,2,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[7,6,2,1,3,5,4]=>[1,3,5,2,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[7,6,2,1,4,3,5]=>[1,4,2,3,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>{{1},{2,3,4},{5},{6},{7}}
[7,6,2,1,4,5,3]=>[1,4,5,2,3,6,7]=>{{1},{2,4},{3,5},{6},{7}}=>{{1},{2,5},{3,4},{6},{7}}
[7,6,2,1,5,3,4]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[7,6,2,1,5,4,3]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[7,6,2,3,1,4,5]=>[1,4,5,2,3,6,7]=>{{1},{2,4},{3,5},{6},{7}}=>{{1},{2,5},{3,4},{6},{7}}
[7,6,2,3,1,5,4]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[7,6,2,3,4,1,5]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[7,6,2,3,4,5,1]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[7,6,2,3,5,1,4]=>[1,4,2,3,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>{{1},{2,3,4},{5},{6},{7}}
[7,6,2,3,5,4,1]=>[1,2,3,5,4,6,7]=>{{1},{2},{3},{4,5},{6},{7}}=>{{1},{2},{3},{4,5},{6},{7}}
[7,6,2,4,1,3,5]=>[1,3,5,2,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[7,6,2,4,1,5,3]=>[1,5,2,4,3,6,7]=>{{1},{2,3,5},{4},{6},{7}}=>{{1},{2,3,5},{4},{6},{7}}
[7,6,2,4,3,1,5]=>[1,5,2,4,3,6,7]=>{{1},{2,3,5},{4},{6},{7}}=>{{1},{2,3,5},{4},{6},{7}}
[7,6,2,4,3,5,1]=>[1,2,4,3,5,6,7]=>{{1},{2},{3,4},{5},{6},{7}}=>{{1},{2},{3,4},{5},{6},{7}}
[7,6,2,4,5,1,3]=>[1,3,2,4,5,6,7]=>{{1},{2,3},{4},{5},{6},{7}}=>{{1},{2,3},{4},{5},{6},{7}}
[7,6,2,4,5,3,1]=>[1,2,4,5,3,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6},{7}}
[7,6,2,5,1,3,4]=>[1,3,4,2,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>{{1},{2,3,4},{5},{6},{7}}
[7,6,2,5,1,4,3]=>[1,4,2,5,3,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[7,6,2,5,3,1,4]=>[1,4,2,5,3,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[7,6,2,5,3,4,1]=>[1,2,5,3,4,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6},{7}}
[7,6,2,5,4,1,3]=>[1,3,2,5,4,6,7]=>{{1},{2,3},{4,5},{6},{7}}=>{{1},{2,3},{4,5},{6},{7}}
[7,6,2,5,4,3,1]=>[1,2,5,3,4,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6},{7}}
[7,6,3,1,2,4,5]=>[1,2,4,5,3,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6},{7}}
[7,6,3,1,2,5,4]=>[1,2,5,3,4,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6},{7}}
[7,6,3,1,4,2,5]=>[1,4,2,5,3,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[7,6,3,1,4,5,2]=>[1,4,5,2,3,6,7]=>{{1},{2,4},{3,5},{6},{7}}=>{{1},{2,5},{3,4},{6},{7}}
[7,6,3,1,5,2,4]=>[1,5,2,4,3,6,7]=>{{1},{2,3,5},{4},{6},{7}}=>{{1},{2,3,5},{4},{6},{7}}
[7,6,3,1,5,4,2]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[7,6,3,2,1,4,5]=>[1,4,5,2,3,6,7]=>{{1},{2,4},{3,5},{6},{7}}=>{{1},{2,5},{3,4},{6},{7}}
[7,6,3,2,1,5,4]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[7,6,3,2,4,1,5]=>[1,5,2,4,3,6,7]=>{{1},{2,3,5},{4},{6},{7}}=>{{1},{2,3,5},{4},{6},{7}}
[7,6,3,2,4,5,1]=>[1,2,4,5,3,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6},{7}}
[7,6,3,2,5,1,4]=>[1,4,2,5,3,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[7,6,3,2,5,4,1]=>[1,2,5,3,4,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6},{7}}
[7,6,3,4,1,2,5]=>[1,2,5,3,4,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6},{7}}
[7,6,3,4,1,5,2]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[7,6,3,4,2,1,5]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[7,6,3,4,2,5,1]=>[1,2,5,3,4,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6},{7}}
[7,6,3,4,5,1,2]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[7,6,3,4,5,2,1]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[7,6,3,5,1,2,4]=>[1,2,4,3,5,6,7]=>{{1},{2},{3,4},{5},{6},{7}}=>{{1},{2},{3,4},{5},{6},{7}}
[7,6,3,5,1,4,2]=>[1,4,2,3,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>{{1},{2,3,4},{5},{6},{7}}
[7,6,3,5,2,1,4]=>[1,4,2,3,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>{{1},{2,3,4},{5},{6},{7}}
[7,6,3,5,2,4,1]=>[1,2,4,3,5,6,7]=>{{1},{2},{3,4},{5},{6},{7}}=>{{1},{2},{3,4},{5},{6},{7}}
[7,6,3,5,4,1,2]=>[1,2,3,5,4,6,7]=>{{1},{2},{3},{4,5},{6},{7}}=>{{1},{2},{3},{4,5},{6},{7}}
[7,6,3,5,4,2,1]=>[1,2,3,5,4,6,7]=>{{1},{2},{3},{4,5},{6},{7}}=>{{1},{2},{3},{4,5},{6},{7}}
[7,6,4,1,2,3,5]=>[1,2,3,5,4,6,7]=>{{1},{2},{3},{4,5},{6},{7}}=>{{1},{2},{3},{4,5},{6},{7}}
[7,6,4,1,2,5,3]=>[1,2,5,3,4,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6},{7}}
[7,6,4,1,3,2,5]=>[1,3,2,5,4,6,7]=>{{1},{2,3},{4,5},{6},{7}}=>{{1},{2,3},{4,5},{6},{7}}
[7,6,4,1,3,5,2]=>[1,3,5,2,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[7,6,4,1,5,2,3]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[7,6,4,1,5,3,2]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[7,6,4,2,1,3,5]=>[1,3,5,2,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[7,6,4,2,1,5,3]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[7,6,4,2,3,1,5]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[7,6,4,2,3,5,1]=>[1,2,3,5,4,6,7]=>{{1},{2},{3},{4,5},{6},{7}}=>{{1},{2},{3},{4,5},{6},{7}}
[7,6,4,2,5,1,3]=>[1,3,2,5,4,6,7]=>{{1},{2,3},{4,5},{6},{7}}=>{{1},{2,3},{4,5},{6},{7}}
[7,6,4,2,5,3,1]=>[1,2,5,3,4,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6},{7}}
[7,6,4,3,1,2,5]=>[1,2,5,3,4,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6},{7}}
[7,6,4,3,1,5,2]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[7,6,4,3,2,1,5]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[7,6,4,3,2,5,1]=>[1,2,5,3,4,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6},{7}}
[7,6,4,3,5,1,2]=>[1,2,3,5,4,6,7]=>{{1},{2},{3},{4,5},{6},{7}}=>{{1},{2},{3},{4,5},{6},{7}}
[7,6,4,3,5,2,1]=>[1,2,3,5,4,6,7]=>{{1},{2},{3},{4,5},{6},{7}}=>{{1},{2},{3},{4,5},{6},{7}}
[7,6,4,5,1,2,3]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[7,6,4,5,1,3,2]=>[1,3,2,4,5,6,7]=>{{1},{2,3},{4},{5},{6},{7}}=>{{1},{2,3},{4},{5},{6},{7}}
[7,6,4,5,2,1,3]=>[1,3,2,4,5,6,7]=>{{1},{2,3},{4},{5},{6},{7}}=>{{1},{2,3},{4},{5},{6},{7}}
[7,6,4,5,2,3,1]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[7,6,4,5,3,1,2]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[7,6,4,5,3,2,1]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[7,6,5,1,2,3,4]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[7,6,5,1,2,4,3]=>[1,2,4,3,5,6,7]=>{{1},{2},{3,4},{5},{6},{7}}=>{{1},{2},{3,4},{5},{6},{7}}
[7,6,5,1,3,2,4]=>[1,3,2,4,5,6,7]=>{{1},{2,3},{4},{5},{6},{7}}=>{{1},{2,3},{4},{5},{6},{7}}
[7,6,5,1,3,4,2]=>[1,3,4,2,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>{{1},{2,3,4},{5},{6},{7}}
[7,6,5,1,4,2,3]=>[1,4,2,3,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>{{1},{2,3,4},{5},{6},{7}}
[7,6,5,1,4,3,2]=>[1,4,2,3,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>{{1},{2,3,4},{5},{6},{7}}
[7,6,5,2,1,3,4]=>[1,3,4,2,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>{{1},{2,3,4},{5},{6},{7}}
[7,6,5,2,1,4,3]=>[1,4,2,3,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>{{1},{2,3,4},{5},{6},{7}}
[7,6,5,2,3,1,4]=>[1,4,2,3,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>{{1},{2,3,4},{5},{6},{7}}
[7,6,5,2,3,4,1]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[7,6,5,2,4,1,3]=>[1,3,2,4,5,6,7]=>{{1},{2,3},{4},{5},{6},{7}}=>{{1},{2,3},{4},{5},{6},{7}}
[7,6,5,2,4,3,1]=>[1,2,4,3,5,6,7]=>{{1},{2},{3,4},{5},{6},{7}}=>{{1},{2},{3,4},{5},{6},{7}}
[7,6,5,3,1,2,4]=>[1,2,4,3,5,6,7]=>{{1},{2},{3,4},{5},{6},{7}}=>{{1},{2},{3,4},{5},{6},{7}}
[7,6,5,3,1,4,2]=>[1,4,2,3,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>{{1},{2,3,4},{5},{6},{7}}
[7,6,5,3,2,1,4]=>[1,4,2,3,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>{{1},{2,3,4},{5},{6},{7}}
[7,6,5,3,2,4,1]=>[1,2,4,3,5,6,7]=>{{1},{2},{3,4},{5},{6},{7}}=>{{1},{2},{3,4},{5},{6},{7}}
[7,6,5,3,4,1,2]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[7,6,5,3,4,2,1]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[7,6,5,4,1,2,3]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[7,6,5,4,1,3,2]=>[1,3,2,4,5,6,7]=>{{1},{2,3},{4},{5},{6},{7}}=>{{1},{2,3},{4},{5},{6},{7}}
[7,6,5,4,2,1,3]=>[1,3,2,4,5,6,7]=>{{1},{2,3},{4},{5},{6},{7}}=>{{1},{2,3},{4},{5},{6},{7}}
[7,6,5,4,2,3,1]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[7,6,5,4,3,1,2]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>{{1},{2},{3},{4},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5},{6},{7},{8}}
[5,6,7,8,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>{{1},{2},{3},{4},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5},{6},{7},{8}}
[8,7,6,4,5,3,2,1]=>[1,2,3,4,5,6,7,8]=>{{1},{2},{3},{4},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5},{6},{7},{8}}
[4,5,6,7,8,3,2,1]=>[1,2,3,4,5,6,7,8]=>{{1},{2},{3},{4},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5},{6},{7},{8}}
[8,7,6,5,3,4,2,1]=>[1,2,3,4,5,6,7,8]=>{{1},{2},{3},{4},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5},{6},{7},{8}}
[8,7,5,6,3,4,2,1]=>[1,2,3,4,5,6,7,8]=>{{1},{2},{3},{4},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5},{6},{7},{8}}
[5,6,7,8,3,4,2,1]=>[1,2,3,4,5,6,7,8]=>{{1},{2},{3},{4},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5},{6},{7},{8}}
[4,5,6,7,3,8,2,1]=>[1,2,3,8,4,5,6,7]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[8,7,6,5,4,2,3,1]=>[1,2,3,4,5,6,7,8]=>{{1},{2},{3},{4},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5},{6},{7},{8}}
[8,6,7,5,4,2,3,1]=>[1,2,3,4,5,6,7,8]=>{{1},{2},{3},{4},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5},{6},{7},{8}}
[5,6,7,8,4,2,3,1]=>[1,2,3,4,5,6,7,8]=>{{1},{2},{3},{4},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5},{6},{7},{8}}
[8,6,7,4,5,2,3,1]=>[1,2,3,4,5,6,7,8]=>{{1},{2},{3},{4},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5},{6},{7},{8}}
[4,5,6,7,8,2,3,1]=>[1,2,3,4,5,6,7,8]=>{{1},{2},{3},{4},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5},{6},{7},{8}}
[8,7,6,5,2,3,4,1]=>[1,2,3,4,5,6,7,8]=>{{1},{2},{3},{4},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5},{6},{7},{8}}
[8,5,6,7,2,3,4,1]=>[1,2,3,4,5,6,7,8]=>{{1},{2},{3},{4},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5},{6},{7},{8}}
[5,6,7,8,2,3,4,1]=>[1,2,3,4,5,6,7,8]=>{{1},{2},{3},{4},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5},{6},{7},{8}}
[6,4,5,7,3,2,8,1]=>[1,2,8,3,4,5,7,6]=>{{1},{2},{3,4,5,6,8},{7}}=>{{1},{2},{3,4,5,6,8},{7}}
[4,5,6,7,3,2,8,1]=>[1,2,8,3,4,5,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[6,7,4,5,2,3,8,1]=>[1,2,3,8,4,5,6,7]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[4,5,6,7,2,3,8,1]=>[1,2,3,8,4,5,6,7]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[7,6,5,2,3,4,8,1]=>[1,2,3,4,8,5,6,7]=>{{1},{2},{3},{4},{5,6,7,8}}=>{{1},{2},{3},{4},{5,6,7,8}}
[8,7,6,5,4,3,1,2]=>[1,2,3,4,5,6,7,8]=>{{1},{2},{3},{4},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5},{6},{7},{8}}
[7,8,6,5,4,3,1,2]=>[1,2,3,4,5,6,7,8]=>{{1},{2},{3},{4},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5},{6},{7},{8}}
[5,6,7,8,4,3,1,2]=>[1,2,3,4,5,6,7,8]=>{{1},{2},{3},{4},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5},{6},{7},{8}}
[7,8,6,4,5,3,1,2]=>[1,2,3,4,5,6,7,8]=>{{1},{2},{3},{4},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5},{6},{7},{8}}
[4,5,6,7,8,3,1,2]=>[1,2,3,4,5,6,7,8]=>{{1},{2},{3},{4},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5},{6},{7},{8}}
[8,7,6,5,3,4,1,2]=>[1,2,3,4,5,6,7,8]=>{{1},{2},{3},{4},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5},{6},{7},{8}}
[7,8,5,6,3,4,1,2]=>[1,2,3,4,5,6,7,8]=>{{1},{2},{3},{4},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5},{6},{7},{8}}
[6,7,5,8,3,4,1,2]=>[1,2,3,4,5,8,6,7]=>{{1},{2},{3},{4},{5},{6,7,8}}=>{{1},{2},{3},{4},{5},{6,7,8}}
[7,5,6,8,3,4,1,2]=>[1,2,3,4,5,6,8,7]=>{{1},{2},{3},{4},{5},{6},{7,8}}=>{{1},{2},{3},{4},{5},{6},{7,8}}
[6,5,7,8,3,4,1,2]=>[1,2,3,4,5,7,8,6]=>{{1},{2},{3},{4},{5},{6,7,8}}=>{{1},{2},{3},{4},{5},{6,7,8}}
[5,6,7,8,3,4,1,2]=>[1,2,3,4,5,6,7,8]=>{{1},{2},{3},{4},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5},{6},{7},{8}}
[6,7,4,5,3,8,1,2]=>[1,2,3,8,4,5,6,7]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[4,5,6,7,3,8,1,2]=>[1,2,3,8,4,5,6,7]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[5,4,3,6,7,8,1,2]=>[1,2,3,6,7,8,4,5]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[8,7,6,5,4,2,1,3]=>[1,3,2,4,5,6,7,8]=>{{1},{2,3},{4},{5},{6},{7},{8}}=>{{1},{2,3},{4},{5},{6},{7},{8}}
[5,6,7,8,4,2,1,3]=>[1,3,2,4,5,6,7,8]=>{{1},{2,3},{4},{5},{6},{7},{8}}=>{{1},{2,3},{4},{5},{6},{7},{8}}
[4,5,6,7,8,2,1,3]=>[1,3,2,4,5,6,7,8]=>{{1},{2,3},{4},{5},{6},{7},{8}}=>{{1},{2,3},{4},{5},{6},{7},{8}}
[8,7,6,5,4,1,2,3]=>[1,2,3,4,5,6,7,8]=>{{1},{2},{3},{4},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5},{6},{7},{8}}
[6,7,8,5,4,1,2,3]=>[1,2,3,4,5,6,7,8]=>{{1},{2},{3},{4},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5},{6},{7},{8}}
[6,5,7,8,4,1,2,3]=>[1,2,3,4,5,7,8,6]=>{{1},{2},{3},{4},{5},{6,7,8}}=>{{1},{2},{3},{4},{5},{6,7,8}}
[5,6,7,8,4,1,2,3]=>[1,2,3,4,5,6,7,8]=>{{1},{2},{3},{4},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5},{6},{7},{8}}
[4,5,6,7,8,1,2,3]=>[1,2,3,4,5,6,7,8]=>{{1},{2},{3},{4},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5},{6},{7},{8}}
[8,7,6,5,3,2,1,4]=>[1,4,2,3,5,6,7,8]=>{{1},{2,3,4},{5},{6},{7},{8}}=>{{1},{2,3,4},{5},{6},{7},{8}}
[5,6,7,8,3,2,1,4]=>[1,4,2,3,5,6,7,8]=>{{1},{2,3,4},{5},{6},{7},{8}}=>{{1},{2,3,4},{5},{6},{7},{8}}
[8,7,6,5,2,3,1,4]=>[1,4,2,3,5,6,7,8]=>{{1},{2,3,4},{5},{6},{7},{8}}=>{{1},{2,3,4},{5},{6},{7},{8}}
[7,8,5,6,2,3,1,4]=>[1,4,2,3,5,6,7,8]=>{{1},{2,3,4},{5},{6},{7},{8}}=>{{1},{2,3,4},{5},{6},{7},{8}}
[5,6,7,8,2,3,1,4]=>[1,4,2,3,5,6,7,8]=>{{1},{2,3,4},{5},{6},{7},{8}}=>{{1},{2,3,4},{5},{6},{7},{8}}
[8,7,6,5,2,1,3,4]=>[1,3,4,2,5,6,7,8]=>{{1},{2,3,4},{5},{6},{7},{8}}=>{{1},{2,3,4},{5},{6},{7},{8}}
[6,7,8,5,2,1,3,4]=>[1,3,4,2,5,6,7,8]=>{{1},{2,3,4},{5},{6},{7},{8}}=>{{1},{2,3,4},{5},{6},{7},{8}}
[7,8,5,6,2,1,3,4]=>[1,3,4,2,5,6,7,8]=>{{1},{2,3,4},{5},{6},{7},{8}}=>{{1},{2,3,4},{5},{6},{7},{8}}
[5,6,7,8,2,1,3,4]=>[1,3,4,2,5,6,7,8]=>{{1},{2,3,4},{5},{6},{7},{8}}=>{{1},{2,3,4},{5},{6},{7},{8}}
[8,7,6,5,1,2,3,4]=>[1,2,3,4,5,6,7,8]=>{{1},{2},{3},{4},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5},{6},{7},{8}}
[7,8,6,5,1,2,3,4]=>[1,2,3,4,5,6,7,8]=>{{1},{2},{3},{4},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5},{6},{7},{8}}
[8,6,7,5,1,2,3,4]=>[1,2,3,4,5,6,7,8]=>{{1},{2},{3},{4},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5},{6},{7},{8}}
[7,6,8,5,1,2,3,4]=>[1,2,3,4,5,6,8,7]=>{{1},{2},{3},{4},{5},{6},{7,8}}=>{{1},{2},{3},{4},{5},{6},{7,8}}
[6,7,8,5,1,2,3,4]=>[1,2,3,4,5,6,7,8]=>{{1},{2},{3},{4},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5},{6},{7},{8}}
[8,7,5,6,1,2,3,4]=>[1,2,3,4,5,6,7,8]=>{{1},{2},{3},{4},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5},{6},{7},{8}}
[7,8,5,6,1,2,3,4]=>[1,2,3,4,5,6,7,8]=>{{1},{2},{3},{4},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5},{6},{7},{8}}
[8,6,5,7,1,2,3,4]=>[1,2,3,4,5,7,6,8]=>{{1},{2},{3},{4},{5},{6,7},{8}}=>{{1},{2},{3},{4},{5},{6,7},{8}}
[8,5,6,7,1,2,3,4]=>[1,2,3,4,5,6,7,8]=>{{1},{2},{3},{4},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5},{6},{7},{8}}
[7,6,5,8,1,2,3,4]=>[1,2,3,4,5,8,6,7]=>{{1},{2},{3},{4},{5},{6,7,8}}=>{{1},{2},{3},{4},{5},{6,7,8}}
[6,7,5,8,1,2,3,4]=>[1,2,3,4,5,8,6,7]=>{{1},{2},{3},{4},{5},{6,7,8}}=>{{1},{2},{3},{4},{5},{6,7,8}}
[7,5,6,8,1,2,3,4]=>[1,2,3,4,5,6,8,7]=>{{1},{2},{3},{4},{5},{6},{7,8}}=>{{1},{2},{3},{4},{5},{6},{7,8}}
[6,5,7,8,1,2,3,4]=>[1,2,3,4,5,7,8,6]=>{{1},{2},{3},{4},{5},{6,7,8}}=>{{1},{2},{3},{4},{5},{6,7,8}}
[5,6,7,8,1,2,3,4]=>[1,2,3,4,5,6,7,8]=>{{1},{2},{3},{4},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5},{6},{7},{8}}
[8,7,6,4,3,2,1,5]=>[1,5,2,3,4,6,7,8]=>{{1},{2,3,4,5},{6},{7},{8}}=>{{1},{2,3,4,5},{6},{7},{8}}
[6,7,8,4,3,2,1,5]=>[1,5,2,3,4,6,7,8]=>{{1},{2,3,4,5},{6},{7},{8}}=>{{1},{2,3,4,5},{6},{7},{8}}
[8,7,6,3,4,2,1,5]=>[1,5,2,3,4,6,7,8]=>{{1},{2,3,4,5},{6},{7},{8}}=>{{1},{2,3,4,5},{6},{7},{8}}
[6,7,8,3,4,2,1,5]=>[1,5,2,3,4,6,7,8]=>{{1},{2,3,4,5},{6},{7},{8}}=>{{1},{2,3,4,5},{6},{7},{8}}
[8,7,6,4,2,3,1,5]=>[1,5,2,3,4,6,7,8]=>{{1},{2,3,4,5},{6},{7},{8}}=>{{1},{2,3,4,5},{6},{7},{8}}
[6,7,8,4,2,3,1,5]=>[1,5,2,3,4,6,7,8]=>{{1},{2,3,4,5},{6},{7},{8}}=>{{1},{2,3,4,5},{6},{7},{8}}
[8,7,6,2,3,4,1,5]=>[1,5,2,3,4,6,7,8]=>{{1},{2,3,4,5},{6},{7},{8}}=>{{1},{2,3,4,5},{6},{7},{8}}
[6,7,8,2,3,4,1,5]=>[1,5,2,3,4,6,7,8]=>{{1},{2,3,4,5},{6},{7},{8}}=>{{1},{2,3,4,5},{6},{7},{8}}
[8,7,6,4,1,2,3,5]=>[1,2,3,5,4,6,7,8]=>{{1},{2},{3},{4,5},{6},{7},{8}}=>{{1},{2},{3},{4,5},{6},{7},{8}}
[6,7,8,4,1,2,3,5]=>[1,2,3,5,4,6,7,8]=>{{1},{2},{3},{4,5},{6},{7},{8}}=>{{1},{2},{3},{4,5},{6},{7},{8}}
[8,7,6,1,2,3,4,5]=>[1,2,3,4,5,6,7,8]=>{{1},{2},{3},{4},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5},{6},{7},{8}}
[7,8,6,1,2,3,4,5]=>[1,2,3,4,5,6,7,8]=>{{1},{2},{3},{4},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5},{6},{7},{8}}
[8,6,7,1,2,3,4,5]=>[1,2,3,4,5,6,7,8]=>{{1},{2},{3},{4},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5},{6},{7},{8}}
[7,6,8,1,2,3,4,5]=>[1,2,3,4,5,6,8,7]=>{{1},{2},{3},{4},{5},{6},{7,8}}=>{{1},{2},{3},{4},{5},{6},{7,8}}
[6,7,8,1,2,3,4,5]=>[1,2,3,4,5,6,7,8]=>{{1},{2},{3},{4},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5},{6},{7},{8}}
[8,6,4,2,1,3,5,7]=>[1,3,5,7,2,4,6,8]=>{{1},{2,3,5},{4,6,7},{8}}=>{{1},{2,3,6,7},{4,5},{8}}
[5,6,7,4,3,2,1,8]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,4,5,6,3,2,1,8]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,5,6,7,3,2,1,8]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,6,7,3,4,2,1,8]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,6,7,4,2,3,1,8]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,7,4,5,2,3,1,8]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,4,5,6,2,3,1,8]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,5,6,7,2,3,1,8]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,6,5,2,3,4,1,8]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,7,5,2,3,4,1,8]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,5,6,2,3,4,1,8]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,5,7,2,3,4,1,8]=>[1,8,2,3,4,5,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>{{1},{2,3,4,5,6,8},{7}}
[5,6,7,2,3,4,1,8]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,4,5,6,3,1,2,8]=>[1,2,8,3,4,5,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[4,5,6,7,3,1,2,8]=>[1,2,8,3,4,5,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[7,4,5,6,2,1,3,8]=>[1,3,8,2,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,5,6,7,2,1,3,8]=>[1,3,8,2,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,6,7,4,1,2,3,8]=>[1,2,3,8,4,5,6,7]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[7,4,5,6,1,2,3,8]=>[1,2,3,8,4,5,6,7]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[5,6,4,7,1,2,3,8]=>[1,2,3,8,4,7,5,6]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[4,5,6,7,1,2,3,8]=>[1,2,3,8,4,5,6,7]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[5,6,7,3,1,2,4,8]=>[1,2,4,8,3,5,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[5,6,7,2,1,3,4,8]=>[1,3,4,8,2,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,6,5,1,2,3,4,8]=>[1,2,3,4,8,5,6,7]=>{{1},{2},{3},{4},{5,6,7,8}}=>{{1},{2},{3},{4},{5,6,7,8}}
[6,7,5,1,2,3,4,8]=>[1,2,3,4,8,5,6,7]=>{{1},{2},{3},{4},{5,6,7,8}}=>{{1},{2},{3},{4},{5,6,7,8}}
[7,5,6,1,2,3,4,8]=>[1,2,3,4,8,5,6,7]=>{{1},{2},{3},{4},{5,6,7,8}}=>{{1},{2},{3},{4},{5,6,7,8}}
[5,6,7,1,2,3,4,8]=>[1,2,3,4,8,5,6,7]=>{{1},{2},{3},{4},{5,6,7,8}}=>{{1},{2},{3},{4},{5,6,7,8}}
[5,6,4,3,1,2,7,8]=>[1,2,7,8,3,4,5,6]=>{{1},{2},{3,5,7},{4,6,8}}=>{{1},{2},{3,8},{4,5,6,7}}
[5,4,6,3,1,2,7,8]=>[1,2,7,8,3,4,6,5]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[5,6,3,4,1,2,7,8]=>[1,2,7,8,3,4,5,6]=>{{1},{2},{3,5,7},{4,6,8}}=>{{1},{2},{3,8},{4,5,6,7}}
[5,4,3,6,1,2,7,8]=>[1,2,7,8,3,6,4,5]=>{{1},{2},{3,4,5,7,8},{6}}=>{{1},{2},{3,4,5,7,8},{6}}
[5,4,3,2,1,6,7,8]=>[1,6,7,8,2,3,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,3,2,1,5,6,7,8]=>[1,5,6,7,8,2,3,4]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,2,4,1,5,6,7,8]=>[1,5,6,7,8,2,4,3]=>{{1},{2,3,5,6,8},{4,7}}=>{{1},{2,3,6,7},{4,5,8}}
[2,3,4,1,5,6,7,8]=>[1,5,6,7,8,2,3,4]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,1,2,3,5,6,7,8]=>[1,2,3,5,6,7,8,4]=>{{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}}
[5,8,7,6,4,3,2,1]=>[1,2,3,4,5,8,6,7]=>{{1},{2},{3},{4},{5},{6,7,8}}=>{{1},{2},{3},{4},{5},{6,7,8}}
[4,8,7,6,5,3,2,1]=>[1,2,3,4,8,5,6,7]=>{{1},{2},{3},{4},{5,6,7,8}}=>{{1},{2},{3},{4},{5,6,7,8}}
[3,5,6,8,7,4,2,1]=>[1,2,3,5,6,8,4,7]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[3,5,6,7,8,4,2,1]=>[1,2,3,5,6,7,8,4]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[3,4,8,7,6,5,2,1]=>[1,2,3,4,8,5,6,7]=>{{1},{2},{3},{4},{5,6,7,8}}=>{{1},{2},{3},{4},{5,6,7,8}}
[2,5,6,7,8,4,3,1]=>[1,2,5,6,7,8,3,4]=>{{1},{2},{3,5,7},{4,6,8}}=>{{1},{2},{3,8},{4,5,6,7}}
[2,4,8,7,6,5,3,1]=>[1,2,4,8,3,5,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[2,3,5,6,7,8,4,1]=>[1,2,3,5,6,7,8,4]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[4,3,2,8,7,6,5,1]=>[1,2,8,3,4,5,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[3,4,2,8,7,6,5,1]=>[1,2,8,3,4,5,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[2,4,3,8,7,6,5,1]=>[1,2,4,3,8,5,6,7]=>{{1},{2},{3,4},{5,6,7,8}}=>{{1},{2},{3,4},{5,6,7,8}}
[3,2,4,8,7,6,5,1]=>[1,2,4,8,3,5,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[2,3,4,8,7,6,5,1]=>[1,2,3,4,8,5,6,7]=>{{1},{2},{3},{4},{5,6,7,8}}=>{{1},{2},{3},{4},{5,6,7,8}}
[5,4,3,2,8,7,6,1]=>[1,2,8,3,4,5,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[5,4,3,2,7,8,6,1]=>[1,2,7,8,3,4,5,6]=>{{1},{2},{3,5,7},{4,6,8}}=>{{1},{2},{3,8},{4,5,6,7}}
[2,5,4,3,8,7,6,1]=>[1,2,5,3,8,4,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[2,4,3,6,5,8,7,1]=>[1,2,4,3,6,5,8,7]=>{{1},{2},{3,4},{5,6},{7,8}}=>{{1},{2},{3,4},{5,6},{7,8}}
[5,4,3,2,6,8,7,1]=>[1,2,6,8,3,4,5,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[4,3,2,7,6,5,8,1]=>[1,2,7,3,4,5,8,6]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[3,4,2,7,6,5,8,1]=>[1,2,7,3,4,5,8,6]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[2,4,3,7,6,5,8,1]=>[1,2,4,3,7,5,8,6]=>{{1},{2},{3,4},{5,6,7,8}}=>{{1},{2},{3,4},{5,6,7,8}}
[2,3,4,7,6,5,8,1]=>[1,2,3,4,7,5,8,6]=>{{1},{2},{3},{4},{5,6,7,8}}=>{{1},{2},{3},{4},{5,6,7,8}}
[2,5,4,3,6,7,8,1]=>[1,2,5,3,6,7,8,4]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[1,6,7,8,5,4,3,2]=>[1,6,7,8,2,3,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[1,5,6,7,8,4,3,2]=>[1,5,6,7,8,2,3,4]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[1,3,5,7,8,6,4,2]=>[1,3,5,7,8,2,4,6]=>{{1},{2,3,5,6,8},{4,7}}=>{{1},{2,3,6,7},{4,5,8}}
[1,3,5,6,7,8,4,2]=>[1,3,5,6,7,8,2,4]=>{{1},{2,3,5,7},{4,6,8}}=>{{1},{2,3,8},{4,5,6,7}}
[1,4,3,8,7,6,5,2]=>[1,4,2,3,8,5,6,7]=>{{1},{2,3,4},{5,6,7,8}}=>{{1},{2,3,4},{5,6,7,8}}
[1,3,4,8,7,6,5,2]=>[1,3,4,8,2,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[1,5,6,4,3,8,7,2]=>[1,5,6,2,3,8,4,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[1,5,4,3,6,7,8,2]=>[1,5,2,3,6,7,8,4]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,1,8,7,6,5,4,3]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,1,6,7,8,5,4,3]=>[1,6,7,8,2,3,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,1,5,6,7,8,4,3]=>[1,5,6,7,8,2,3,4]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[1,2,5,6,7,8,4,3]=>[1,2,5,6,7,8,3,4]=>{{1},{2},{3,5,7},{4,6,8}}=>{{1},{2},{3,8},{4,5,6,7}}
[1,2,4,8,7,6,5,3]=>[1,2,4,8,3,5,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[1,2,4,7,8,6,5,3]=>[1,2,4,7,8,3,5,6]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[3,2,1,8,7,6,5,4]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,2,1,7,8,6,5,4]=>[1,7,8,2,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,2,1,6,7,8,5,4]=>[1,6,7,8,2,3,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,2,1,5,6,7,8,4]=>[1,5,6,7,8,2,3,4]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,3,1,8,7,6,5,4]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[1,3,2,8,7,6,5,4]=>[1,3,2,8,4,5,6,7]=>{{1},{2,3},{4,5,6,7,8}}=>{{1},{2,3},{4,5,6,7,8}}
[2,1,3,8,7,6,5,4]=>[1,3,8,2,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[1,2,3,8,7,6,5,4]=>[1,2,3,8,4,5,6,7]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[1,2,3,7,8,6,5,4]=>[1,2,3,7,8,4,5,6]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[1,2,3,7,6,8,5,4]=>[1,2,3,7,4,5,6,8]=>{{1},{2},{3},{4,5,6,7},{8}}=>{{1},{2},{3},{4,5,6,7},{8}}
[1,2,3,6,7,8,5,4]=>[1,2,3,6,7,8,4,5]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[1,2,3,5,8,7,6,4]=>[1,2,3,5,8,4,6,7]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[1,2,3,5,6,8,7,4]=>[1,2,3,5,6,8,4,7]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[1,2,3,7,6,5,8,4]=>[1,2,3,7,4,5,8,6]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[1,2,3,5,7,6,8,4]=>[1,2,3,5,7,4,6,8]=>{{1},{2},{3},{4,5,6,7},{8}}=>{{1},{2},{3},{4,5,6,7},{8}}
[1,2,3,5,6,7,8,4]=>[1,2,3,5,6,7,8,4]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[4,3,2,1,8,7,6,5]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,3,2,1,7,8,6,5]=>[1,7,8,2,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,3,2,1,6,7,8,5]=>[1,6,7,8,2,3,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,4,2,1,8,7,6,5]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,4,2,1,7,8,6,5]=>[1,7,8,2,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,4,2,1,6,7,8,5]=>[1,6,7,8,2,3,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,4,3,1,6,8,7,5]=>[1,6,8,2,4,3,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,2,4,1,7,8,6,5]=>[1,7,8,2,4,3,5,6]=>{{1},{2,4,5,7},{3,6,8}}=>{{1},{2,5,6,7},{3,4,8}}
[3,2,4,1,6,8,7,5]=>[1,6,8,2,4,3,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,3,4,1,8,7,6,5]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,3,4,1,7,8,6,5]=>[1,7,8,2,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,3,4,1,6,7,8,5]=>[1,6,7,8,2,3,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[1,4,3,2,8,7,6,5]=>[1,4,2,8,3,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[1,4,3,2,7,6,8,5]=>[1,4,2,7,3,5,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[1,4,3,2,6,7,8,5]=>[1,4,2,6,7,8,3,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[1,3,4,2,8,7,6,5]=>[1,3,4,2,8,5,6,7]=>{{1},{2,3,4},{5,6,7,8}}=>{{1},{2,3,4},{5,6,7,8}}
[1,3,4,2,6,7,8,5]=>[1,3,4,2,6,7,8,5]=>{{1},{2,3,4},{5,6,7,8}}=>{{1},{2,3,4},{5,6,7,8}}
[2,1,4,3,8,7,6,5]=>[1,4,2,3,8,5,6,7]=>{{1},{2,3,4},{5,6,7,8}}=>{{1},{2,3,4},{5,6,7,8}}
[2,1,4,3,6,7,8,5]=>[1,4,2,3,6,7,8,5]=>{{1},{2,3,4},{5,6,7,8}}=>{{1},{2,3,4},{5,6,7,8}}
[1,2,4,3,8,7,6,5]=>[1,2,4,3,8,5,6,7]=>{{1},{2},{3,4},{5,6,7,8}}=>{{1},{2},{3,4},{5,6,7,8}}
[1,2,4,3,6,7,8,5]=>[1,2,4,3,6,7,8,5]=>{{1},{2},{3,4},{5,6,7,8}}=>{{1},{2},{3,4},{5,6,7,8}}
[2,1,3,4,8,7,6,5]=>[1,3,4,8,2,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[1,2,3,4,8,7,6,5]=>[1,2,3,4,8,5,6,7]=>{{1},{2},{3},{4},{5,6,7,8}}=>{{1},{2},{3},{4},{5,6,7,8}}
[1,2,3,4,6,7,8,5]=>[1,2,3,4,6,7,8,5]=>{{1},{2},{3},{4},{5,6,7,8}}=>{{1},{2},{3},{4},{5,6,7,8}}
[5,4,3,2,1,8,7,6]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,4,3,2,1,7,8,6]=>[1,7,8,2,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,5,3,2,1,8,7,6]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,5,4,2,1,8,7,6]=>[1,8,2,3,5,4,6,7]=>{{1},{2,3,4,6,7,8},{5}}=>{{1},{2,3,4,6,7,8},{5}}
[4,3,5,2,1,8,7,6]=>[1,8,2,3,5,4,6,7]=>{{1},{2,3,4,6,7,8},{5}}=>{{1},{2,3,4,6,7,8},{5}}
[3,4,5,2,1,8,7,6]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,5,4,3,1,8,7,6]=>[1,8,2,5,3,4,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,2,5,4,1,8,7,6]=>[1,8,2,5,3,4,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,3,5,4,1,8,7,6]=>[1,8,2,3,5,4,6,7]=>{{1},{2,3,4,6,7,8},{5}}=>{{1},{2,3,4,6,7,8},{5}}
[4,3,2,5,1,8,7,6]=>[1,8,2,5,3,4,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,4,2,5,1,8,7,6]=>[1,8,2,5,3,4,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,3,4,5,1,8,7,6]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,5,4,3,2,1,8,7]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,5,6,3,2,1,8,7]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,4,3,6,2,1,8,7]=>[1,8,2,3,6,4,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,5,3,6,2,1,8,7]=>[1,8,2,3,6,4,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,3,6,5,4,1,8,7]=>[1,8,2,3,6,4,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,4,3,2,6,1,8,7]=>[1,8,2,6,3,4,5,7]=>{{1},{2,3,5,7,8},{4,6}}=>{{1},{2,3,7,8},{4,5,6}}
[4,5,3,2,6,1,8,7]=>[1,8,2,6,3,4,5,7]=>{{1},{2,3,5,7,8},{4,6}}=>{{1},{2,3,7,8},{4,5,6}}
[2,1,5,6,4,3,8,7]=>[1,5,6,2,3,8,4,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,1,5,4,3,6,8,7]=>[1,5,2,3,6,8,4,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,4,3,2,7,6,1,8]=>[1,8,2,7,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,5,3,2,7,6,1,8]=>[1,8,2,7,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,5,4,2,7,6,1,8]=>[1,8,2,7,3,5,4,6]=>{{1},{2,3,5,6,8},{4,7}}=>{{1},{2,3,6,7},{4,5,8}}
[3,2,1,5,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>{{1},{2,3,4,5},{6,7},{8}}=>{{1},{2,3,4,5},{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}}
[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>{{1},{2},{3},{4,5},{6,7},{8}}=>{{1},{2},{3},{4,5},{6,7},{8}}
[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>{{1},{2,3},{4},{5},{6,7},{8}}=>{{1},{2,3},{4},{5},{6,7},{8}}
[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>{{1},{2},{3},{4},{5},{6,7},{8}}=>{{1},{2},{3},{4},{5},{6,7},{8}}
[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>{{1},{2,3},{4,5},{6},{7},{8}}=>{{1},{2,3},{4,5},{6},{7},{8}}
[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>{{1},{2},{3},{4,5},{6},{7},{8}}=>{{1},{2},{3},{4,5},{6},{7},{8}}
[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>{{1},{2,3},{4},{5},{6},{7},{8}}=>{{1},{2,3},{4},{5},{6},{7},{8}}
[1,2,3,5,8,6,7,4]=>[1,2,3,5,8,4,6,7]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[1,2,3,7,5,6,8,4]=>[1,2,3,7,4,5,6,8]=>{{1},{2},{3},{4,5,6,7},{8}}=>{{1},{2},{3},{4,5,6,7},{8}}
[1,2,3,8,5,6,7,4]=>[1,2,3,8,4,5,6,7]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[1,2,3,8,6,7,5,4]=>[1,2,3,8,4,5,6,7]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[1,3,8,5,6,7,4,2]=>[1,3,8,2,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[1,3,8,6,5,7,4,2]=>[1,3,8,2,4,5,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>{{1},{2,3,4,5,6,8},{7}}
[1,7,5,4,3,6,8,2]=>[1,7,2,3,6,8,4,5]=>{{1},{2,3,4,7},{5,6,8}}=>{{1},{2,3,4,6,7},{5,8}}
[2,1,4,3,8,6,7,5]=>[1,4,2,3,8,5,6,7]=>{{1},{2,3,4},{5,6,7,8}}=>{{1},{2,3,4},{5,6,7,8}}
[2,1,8,7,5,6,4,3]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,3,1,8,6,7,5,4]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,3,4,1,8,6,7,5]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,3,4,8,5,6,7,1]=>[1,2,3,4,8,5,6,7]=>{{1},{2},{3},{4},{5,6,7,8}}=>{{1},{2},{3},{4},{5,6,7,8}}
[2,3,4,8,6,7,5,1]=>[1,2,3,4,8,5,6,7]=>{{1},{2},{3},{4},{5,6,7,8}}=>{{1},{2},{3},{4},{5,6,7,8}}
[2,3,6,4,5,1,8,7]=>[1,8,2,3,6,4,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,3,7,4,5,6,8,1]=>[1,2,3,7,4,5,6,8]=>{{1},{2},{3},{4,5,6,7},{8}}=>{{1},{2},{3},{4,5,6,7},{8}}
[2,5,3,4,1,8,7,6]=>[1,8,2,5,3,4,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,5,4,3,8,6,7,1]=>[1,2,5,3,8,4,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[3,2,1,8,5,6,7,4]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,2,1,8,5,7,6,4]=>[1,8,2,3,4,5,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>{{1},{2,3,4,5,6,8},{7}}
[3,2,1,8,6,5,7,4]=>[1,8,2,3,4,5,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>{{1},{2,3,4,5,6,8},{7}}
[3,2,1,8,6,7,5,4]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,2,3,1,6,7,8,5]=>[1,6,7,8,2,3,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,2,3,1,8,6,7,5]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,2,3,1,8,7,6,5]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,2,3,5,1,8,7,6]=>[1,8,2,3,5,4,6,7]=>{{1},{2,3,4,6,7,8},{5}}=>{{1},{2,3,4,6,7,8},{5}}
[4,2,3,7,6,5,8,1]=>[1,2,3,7,4,5,8,6]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[4,2,3,8,7,6,5,1]=>[1,2,3,8,4,5,6,7]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[5,2,3,4,1,8,7,6]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,2,3,6,5,4,1,8]=>[1,8,2,3,6,4,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,3,2,1,8,6,7,5]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,3,2,5,4,1,8,7]=>[1,8,2,5,3,4,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,3,4,2,1,7,8,6]=>[1,7,8,2,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,3,4,2,1,8,7,6]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,3,6,5,4,2,1,8]=>[1,8,2,3,6,4,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,4,3,2,8,6,7,1]=>[1,2,8,3,4,5,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[6,5,3,4,2,1,8,7]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,4,6,1,3,5,8,7]=>[1,3,5,8,2,4,6,7]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[2,1,4,6,8,3,5,7]=>[1,4,6,8,2,3,5,7]=>{{1},{2,4,5,7,8},{3,6}}=>{{1},{2,5,6},{3,4,7,8}}
[2,4,1,6,8,3,5,7]=>[1,6,8,2,4,3,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,4,6,8,1,3,5,7]=>[1,3,5,7,2,4,6,8]=>{{1},{2,3,5},{4,6,7},{8}}=>{{1},{2,3,6,7},{4,5},{8}}
[2,4,1,6,7,3,8,5]=>[1,6,7,2,4,3,8,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,4,1,3,7,5,8,6]=>[1,3,7,2,4,5,8,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,1,4,5,7,3,8,6]=>[1,4,5,7,2,3,8,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,4,5,7,1,3,8,6]=>[1,3,8,2,4,5,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>{{1},{2,3,4,5,6,8},{7}}
[2,1,4,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>{{1},{2,3,4},{5,6,7,8}}=>{{1},{2,3,4},{5,6,7,8}}
[2,4,1,3,8,5,6,7]=>[1,3,8,2,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,1,5,6,7,8,3,4]=>[1,5,6,7,8,2,3,4]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,5,6,7,8,1,3,4]=>[1,3,4,2,5,6,7,8]=>{{1},{2,3,4},{5},{6},{7},{8}}=>{{1},{2,3,4},{5},{6},{7},{8}}
[2,1,5,3,7,4,8,6]=>[1,5,2,3,7,4,8,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,5,1,7,3,4,8,6]=>[1,7,2,5,3,4,8,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,3,5,1,7,4,8,6]=>[1,7,2,3,5,4,8,6]=>{{1},{2,3,4,6,7,8},{5}}=>{{1},{2,3,4,6,7,8},{5}}
[2,3,5,6,7,8,1,4]=>[1,4,2,3,5,6,7,8]=>{{1},{2,3,4},{5},{6},{7},{8}}=>{{1},{2,3,4},{5},{6},{7},{8}}
[2,6,1,3,7,4,8,5]=>[1,3,7,2,6,4,8,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,6,1,7,3,8,4,5]=>[1,7,2,6,3,8,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,1,6,7,8,3,4,5]=>[1,6,7,8,2,3,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,1,6,3,4,7,8,5]=>[1,6,2,3,4,7,8,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,1,6,3,4,8,5,7]=>[1,6,2,3,4,8,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,1,7,8,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,7,1,8,3,4,5,6]=>[1,8,2,7,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,3,4,1,7,8,5,6]=>[1,7,8,2,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,1,3,4,8,5,6,7]=>[1,3,4,8,2,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,3,4,1,8,5,6,7]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,1,4,2,6,7,8,5]=>[1,4,2,6,7,8,3,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,4,6,1,2,7,8,5]=>[1,2,7,8,3,4,6,5]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[3,4,6,7,1,8,2,5]=>[1,8,2,5,3,4,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,1,4,2,7,5,8,6]=>[1,4,2,7,3,5,8,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,4,1,2,7,8,5,6]=>[1,2,7,8,3,4,5,6]=>{{1},{2},{3,5,7},{4,6,8}}=>{{1},{2},{3,8},{4,5,6,7}}
[3,4,7,1,8,2,5,6]=>[1,8,2,5,6,3,4,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,4,5,7,1,2,8,6]=>[1,2,8,3,4,5,7,6]=>{{1},{2},{3,4,5,6,8},{7}}=>{{1},{2},{3,4,5,6,8},{7}}
[3,1,4,2,8,5,6,7]=>[1,4,2,8,3,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,4,1,2,8,5,6,7]=>[1,2,8,3,4,5,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[3,5,1,6,2,4,8,7]=>[1,6,2,4,8,3,5,7]=>{{1},{2,3,6},{4},{5,7,8}}=>{{1},{2,3,7,8},{4},{5,6}}
[3,5,6,1,2,4,8,7]=>[1,2,4,8,3,5,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[3,1,5,6,2,8,4,7]=>[1,5,6,2,8,3,4,7]=>{{1},{2,4,5,7,8},{3,6}}=>{{1},{2,5,6},{3,4,7,8}}
[3,5,6,1,7,8,2,4]=>[1,7,8,2,4,3,5,6]=>{{1},{2,4,5,7},{3,6,8}}=>{{1},{2,5,6,7},{3,4,8}}
[3,1,5,2,7,4,8,6]=>[1,5,2,7,3,4,8,6]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[3,1,5,7,2,8,4,6]=>[1,5,7,2,8,3,4,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,5,1,7,2,8,4,6]=>[1,7,2,8,3,5,4,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,1,5,2,7,4,6,8]=>[1,5,2,7,3,4,6,8]=>{{1},{2,3,5},{4,6,7},{8}}=>{{1},{2,3,6,7},{4,5},{8}}
[1,3,5,2,7,4,8,6]=>[1,3,5,2,7,4,8,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,1,5,2,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[1,3,2,5,8,4,6,7]=>[1,3,2,5,8,4,6,7]=>{{1},{2,3},{4,5,6,7,8}}=>{{1},{2,3},{4,5,6,7,8}}
[1,3,5,8,2,4,6,7]=>[1,3,5,8,2,4,6,7]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[1,3,5,2,6,8,4,7]=>[1,3,5,2,6,8,4,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[1,3,5,6,7,8,2,4]=>[1,3,5,6,7,8,2,4]=>{{1},{2,3,5,7},{4,6,8}}=>{{1},{2,3,8},{4,5,6,7}}
[3,1,6,2,7,4,8,5]=>[1,6,2,7,3,4,8,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,6,1,7,8,2,4,5]=>[1,7,8,2,4,5,3,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[1,3,2,6,4,7,5,8]=>[1,3,2,6,4,7,5,8]=>{{1},{2,3},{4,5,6,7},{8}}=>{{1},{2,3},{4,5,6,7},{8}}
[1,3,6,2,4,7,8,5]=>[1,3,6,2,4,7,8,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,1,2,6,7,4,8,5]=>[1,2,6,7,3,4,8,5]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[1,3,6,2,7,8,4,5]=>[1,3,6,2,7,8,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,1,6,2,8,4,5,7]=>[1,6,2,8,3,4,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[1,3,7,2,8,4,5,6]=>[1,3,7,2,8,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,1,2,4,8,5,6,7]=>[1,2,4,8,3,5,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[1,3,4,2,8,5,6,7]=>[1,3,4,2,8,5,6,7]=>{{1},{2,3,4},{5,6,7,8}}=>{{1},{2,3,4},{5,6,7,8}}
[4,1,5,2,6,3,8,7]=>[1,5,2,6,3,8,4,7]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[4,5,6,1,2,3,8,7]=>[1,2,3,8,4,5,6,7]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[4,1,5,2,6,8,3,7]=>[1,5,2,6,8,3,7,4]=>{{1},{2,3,4,5,6,8},{7}}=>{{1},{2,3,4,5,6,8},{7}}
[4,5,1,6,2,8,3,7]=>[1,6,2,8,3,7,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,5,1,6,2,7,3,8]=>[1,6,2,7,3,8,4,5]=>{{1},{2,3,5,6,8},{4,7}}=>{{1},{2,3,6,7},{4,5,8}}
[4,5,6,7,1,2,8,3]=>[1,2,8,3,4,5,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[4,5,6,7,1,8,2,3]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,1,5,2,7,8,3,6]=>[1,5,2,7,8,3,6,4]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,5,7,1,2,8,3,6]=>[1,2,8,3,6,4,5,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[1,4,2,5,3,7,6,8]=>[1,4,2,5,3,7,6,8]=>{{1},{2,3,4,5},{6,7},{8}}=>{{1},{2,3,4,5},{6,7},{8}}
[1,4,2,5,7,3,8,6]=>[1,4,2,5,7,3,8,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[1,4,5,7,2,3,8,6]=>[1,4,5,7,2,3,8,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[1,4,2,5,3,8,6,7]=>[1,4,2,5,3,8,6,7]=>{{1},{2,3,4,5},{6,7,8}}=>{{1},{2,3,4,5},{6,7,8}}
[1,4,2,5,8,3,6,7]=>[1,4,2,5,8,3,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,1,2,5,6,3,8,7]=>[1,2,5,6,3,8,4,7]=>{{1},{2},{3,5},{4,6,7,8}}=>{{1},{2},{3,6,7,8},{4,5}}
[1,4,2,5,3,6,7,8]=>[1,4,2,5,3,6,7,8]=>{{1},{2,3,4,5},{6},{7},{8}}=>{{1},{2,3,4,5},{6},{7},{8}}
[4,1,6,2,7,3,8,5]=>[1,6,2,7,3,8,4,5]=>{{1},{2,3,5,6,8},{4,7}}=>{{1},{2,3,6,7},{4,5,8}}
[4,6,1,2,7,8,3,5]=>[1,2,7,8,3,5,4,6]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[4,6,7,1,8,2,3,5]=>[1,8,2,3,5,4,6,7]=>{{1},{2,3,4,6,7,8},{5}}=>{{1},{2,3,4,6,7,8},{5}}
[1,4,2,6,3,7,5,8]=>[1,4,2,6,3,7,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[1,4,6,2,7,3,8,5]=>[1,4,6,2,7,3,8,5]=>{{1},{2,4},{3,6},{5,7,8}}=>{{1},{2,7,8},{3,4},{5,6}}
[1,4,2,6,7,8,3,5]=>[1,4,2,6,7,8,3,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[1,4,6,7,2,8,3,5]=>[1,4,6,7,2,8,3,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,6,1,8,2,3,5,7]=>[1,8,2,3,5,7,4,6]=>{{1},{2,3,4,6,7,8},{5}}=>{{1},{2,3,4,6,7,8},{5}}
[1,4,2,6,3,8,5,7]=>[1,4,2,6,3,8,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,1,2,3,6,7,8,5]=>[1,2,3,6,7,8,4,5]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[1,4,2,3,6,7,8,5]=>[1,4,2,3,6,7,8,5]=>{{1},{2,3,4},{5,6,7,8}}=>{{1},{2,3,4},{5,6,7,8}}
[4,7,1,8,2,3,5,6]=>[1,8,2,3,5,6,4,7]=>{{1},{2,3,4,7,8},{5},{6}}=>{{1},{2,3,4,7,8},{5},{6}}
[1,4,2,7,8,3,5,6]=>[1,4,2,7,8,3,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,1,2,3,7,5,8,6]=>[1,2,3,7,4,5,8,6]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[4,1,2,3,7,8,5,6]=>[1,2,3,7,8,4,5,6]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[4,1,2,3,7,5,6,8]=>[1,2,3,7,4,5,6,8]=>{{1},{2},{3},{4,5,6,7},{8}}=>{{1},{2},{3},{4,5,6,7},{8}}
[4,1,2,3,5,7,6,8]=>[1,2,3,5,7,4,6,8]=>{{1},{2},{3},{4,5,6,7},{8}}=>{{1},{2},{3},{4,5,6,7},{8}}
[4,1,2,3,8,5,6,7]=>[1,2,3,8,4,5,6,7]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>{{1},{2,3,4},{5,6,7,8}}=>{{1},{2,3,4},{5,6,7,8}}
[1,2,4,3,8,5,6,7]=>[1,2,4,3,8,5,6,7]=>{{1},{2},{3,4},{5,6,7,8}}=>{{1},{2},{3,4},{5,6,7,8}}
[4,1,2,3,5,8,6,7]=>[1,2,3,5,8,4,6,7]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[4,1,2,3,5,6,8,7]=>[1,2,3,5,6,8,4,7]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[5,1,6,2,7,3,8,4]=>[1,6,2,7,3,8,4,5]=>{{1},{2,3,5,6,8},{4,7}}=>{{1},{2,3,6,7},{4,5,8}}
[1,5,2,6,3,7,4,8]=>[1,5,2,6,3,7,4,8]=>{{1},{2,3,5},{4,6,7},{8}}=>{{1},{2,3,6,7},{4,5},{8}}
[1,5,6,7,8,2,3,4]=>[1,5,6,7,8,2,3,4]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,6,1,2,3,8,4,7]=>[1,2,3,8,4,7,5,6]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[1,5,6,2,3,8,4,7]=>[1,5,6,2,3,8,4,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,1,2,3,6,7,8,4]=>[1,2,3,6,7,8,4,5]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[1,5,7,2,8,3,4,6]=>[1,5,7,2,8,3,4,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[1,5,2,8,3,4,6,7]=>[1,5,2,8,3,4,6,7]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[6,1,7,8,2,3,4,5]=>[1,7,8,2,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,7,1,8,2,3,4,5]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[1,6,2,7,3,8,4,5]=>[1,6,2,7,3,8,4,5]=>{{1},{2,3,5,6,8},{4,7}}=>{{1},{2,3,6,7},{4,5,8}}
[1,6,7,8,2,3,4,5]=>[1,6,7,8,2,3,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,1,2,3,7,8,4,5]=>[1,2,3,7,8,4,5,6]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[1,2,3,6,4,7,5,8]=>[1,2,3,6,4,7,5,8]=>{{1},{2},{3},{4,5,6,7},{8}}=>{{1},{2},{3},{4,5,6,7},{8}}
[6,1,2,8,3,4,5,7]=>[1,2,8,3,4,5,7,6]=>{{1},{2},{3,4,5,6,8},{7}}=>{{1},{2},{3,4,5,6,8},{7}}
[7,1,2,8,3,4,5,6]=>[1,2,8,3,4,5,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[1,7,2,8,3,4,5,6]=>[1,7,2,8,3,4,5,6]=>{{1},{2,3,5,7},{4,6,8}}=>{{1},{2,3,8},{4,5,6,7}}
[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>{{1},{2},{3},{4},{5,6,7,8}}=>{{1},{2},{3},{4},{5,6,7,8}}
[8,4,5,2,3,7,6,1]=>[1,2,3,7,4,5,6,8]=>{{1},{2},{3},{4,5,6,7},{8}}=>{{1},{2},{3},{4,5,6,7},{8}}
[6,4,5,2,3,1,8,7]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,6,4,3,1,2,8,7]=>[1,2,8,3,4,5,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[7,5,4,3,2,8,1,6]=>[1,6,2,8,3,4,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,6,4,3,8,2,1,5]=>[1,5,2,3,8,4,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,7,4,3,8,1,2,5]=>[1,2,5,3,8,4,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[5,7,4,3,1,8,2,6]=>[1,8,2,6,3,4,5,7]=>{{1},{2,3,5,7,8},{4,6}}=>{{1},{2,3,7,8},{4,5,6}}
[4,7,5,1,3,8,2,6]=>[1,3,8,2,6,4,7,5]=>{{1},{2,3,4,5,6,8},{7}}=>{{1},{2,3,4,5,6,8},{7}}
[3,7,1,5,4,8,2,6]=>[1,5,2,6,3,7,4,8]=>{{1},{2,3,5},{4,6,7},{8}}=>{{1},{2,3,6,7},{4,5},{8}}
[3,8,1,5,4,7,6,2]=>[1,5,2,3,8,4,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>{{1},{2,3,4,5,6,8},{7}}
[4,8,6,1,7,3,5,2]=>[1,7,2,3,5,4,8,6]=>{{1},{2,3,4,6,7,8},{5}}=>{{1},{2,3,4,6,7,8},{5}}
[3,8,1,6,7,4,5,2]=>[1,6,7,2,3,8,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,1,8,6,7,4,5,3]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,7,6,8,1,3,2,4]=>[1,3,2,4,5,7,6,8]=>{{1},{2,3},{4},{5},{6,7},{8}}=>{{1},{2,3},{4},{5},{6,7},{8}}
[7,4,6,2,8,3,1,5]=>[1,5,2,8,3,4,6,7]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[7,3,2,6,8,4,1,5]=>[1,5,2,6,8,3,4,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,3,2,1,7,8,5,6]=>[1,7,8,2,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,4,1,2,8,7,6,5]=>[1,2,8,3,4,5,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[5,3,2,8,1,7,6,4]=>[1,7,2,8,3,4,5,6]=>{{1},{2,3,5,7},{4,6,8}}=>{{1},{2,3,8},{4,5,6,7}}
[6,3,2,8,7,1,5,4]=>[1,5,2,8,3,4,6,7]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[7,3,2,8,6,5,1,4]=>[1,4,2,8,3,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,4,8,2,6,5,1,3]=>[1,3,2,6,4,8,5,7]=>{{1},{2,3},{4,5,6,7,8}}=>{{1},{2,3},{4,5,6,7,8}}
[6,4,8,2,7,1,5,3]=>[1,5,2,7,3,4,8,6]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[4,5,8,1,2,7,6,3]=>[1,2,7,3,4,5,8,6]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[3,5,1,8,2,7,6,4]=>[1,8,2,7,3,5,4,6]=>{{1},{2,3,5,6,8},{4,7}}=>{{1},{2,3,6,7},{4,5,8}}
[2,1,5,8,3,7,6,4]=>[1,5,8,2,3,7,4,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,1,6,8,7,3,5,4]=>[1,6,8,2,3,5,4,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,6,8,1,7,2,5,3]=>[1,7,2,5,3,4,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[4,7,8,1,6,5,2,3]=>[1,6,2,3,4,7,8,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,1,7,8,6,5,3,4]=>[1,7,8,2,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,8,7,1,6,5,3,2]=>[1,6,2,3,4,8,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,3,5,1,2,4,7,8]=>[1,2,4,7,8,3,5,6]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[6,5,8,1,2,3,4,7]=>[1,2,3,4,7,5,8,6]=>{{1},{2},{3},{4},{5,6,7,8}}=>{{1},{2},{3},{4},{5,6,7,8}}
[7,5,8,1,2,3,4,6]=>[1,2,3,4,6,5,8,7]=>{{1},{2},{3},{4},{5,6},{7,8}}=>{{1},{2},{3},{4},{5,6},{7,8}}
[4,8,2,7,1,3,5,6]=>[1,3,5,6,2,7,4,8]=>{{1},{2,3,5},{4,6,7},{8}}=>{{1},{2,3,6,7},{4,5},{8}}
[5,8,4,7,1,2,3,6]=>[1,2,3,6,4,7,5,8]=>{{1},{2},{3},{4,5,6,7},{8}}=>{{1},{2},{3},{4,5,6,7},{8}}
[6,8,5,7,1,2,3,4]=>[1,2,3,4,5,7,6,8]=>{{1},{2},{3},{4},{5},{6,7},{8}}=>{{1},{2},{3},{4},{5},{6,7},{8}}
[5,3,2,8,1,4,6,7]=>[1,4,6,7,2,8,3,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[8,4,2,7,1,3,5,6]=>[1,3,5,6,2,7,4,8]=>{{1},{2,3,5},{4,6,7},{8}}=>{{1},{2,3,6,7},{4,5},{8}}
[8,5,4,7,1,2,3,6]=>[1,2,3,6,4,7,5,8]=>{{1},{2},{3},{4,5,6,7},{8}}=>{{1},{2},{3},{4,5,6,7},{8}}
[8,7,4,6,1,2,3,5]=>[1,2,3,5,4,6,7,8]=>{{1},{2},{3},{4,5},{6},{7},{8}}=>{{1},{2},{3},{4,5},{6},{7},{8}}
[5,4,2,6,8,1,3,7]=>[1,3,7,2,6,8,4,5]=>{{1},{2,3,4,7},{5,6,8}}=>{{1},{2,3,4,6,7},{5,8}}
[6,4,3,5,8,1,2,7]=>[1,2,7,3,5,8,4,6]=>{{1},{2},{3,4,7},{5},{6,8}}=>{{1},{2},{3,4,8},{5},{6,7}}
[5,4,2,7,8,1,3,6]=>[1,3,6,2,7,8,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,4,8,2,5,1,3,7]=>[1,3,7,2,5,4,8,6]=>{{1},{2,3,4,6,7,8},{5}}=>{{1},{2,3,4,6,7,8},{5}}
[6,4,8,2,7,1,3,5]=>[1,3,5,2,7,4,8,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,5,8,4,6,1,2,3]=>[1,2,3,4,6,5,8,7]=>{{1},{2},{3},{4},{5,6},{7,8}}=>{{1},{2},{3},{4},{5,6},{7,8}}
[8,6,7,2,5,1,3,4]=>[1,3,4,2,5,6,7,8]=>{{1},{2,3,4},{5},{6},{7},{8}}=>{{1},{2,3,4},{5},{6},{7},{8}}
[5,4,3,2,7,1,6,8]=>[1,6,8,2,7,3,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,5,3,2,8,1,4,6]=>[1,4,6,2,8,3,5,7]=>{{1},{2,4},{3,6},{5,7,8}}=>{{1},{2,7,8},{3,4},{5,6}}
[7,6,5,3,8,1,2,4]=>[1,2,4,3,8,5,6,7]=>{{1},{2},{3,4},{5,6,7,8}}=>{{1},{2},{3,4},{5,6,7,8}}
[4,8,3,7,2,6,1,5]=>[1,5,2,6,3,7,4,8]=>{{1},{2,3,5},{4,6,7},{8}}=>{{1},{2,3,6,7},{4,5},{8}}
[5,8,3,7,2,6,1,4]=>[1,4,2,6,3,7,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[5,8,4,7,2,6,1,3]=>[1,3,2,6,4,7,5,8]=>{{1},{2,3},{4,5,6,7},{8}}=>{{1},{2,3},{4,5,6,7},{8}}
[5,8,4,7,3,6,1,2]=>[1,2,3,6,4,7,5,8]=>{{1},{2},{3},{4,5,6,7},{8}}=>{{1},{2},{3},{4,5,6,7},{8}}
[6,8,3,7,2,5,1,4]=>[1,4,2,5,3,7,6,8]=>{{1},{2,3,4,5},{6,7},{8}}=>{{1},{2,3,4,5},{6,7},{8}}
[6,8,4,7,2,5,1,3]=>[1,3,2,5,4,7,6,8]=>{{1},{2,3},{4,5},{6,7},{8}}=>{{1},{2,3},{4,5},{6,7},{8}}
[6,8,4,7,3,5,1,2]=>[1,2,3,5,4,7,6,8]=>{{1},{2},{3},{4,5},{6,7},{8}}=>{{1},{2},{3},{4,5},{6,7},{8}}
[6,8,5,7,2,4,1,3]=>[1,3,2,4,5,7,6,8]=>{{1},{2,3},{4},{5},{6,7},{8}}=>{{1},{2,3},{4},{5},{6,7},{8}}
[6,8,5,7,3,4,1,2]=>[1,2,3,4,5,7,6,8]=>{{1},{2},{3},{4},{5},{6,7},{8}}=>{{1},{2},{3},{4},{5},{6,7},{8}}
[7,8,3,6,2,5,1,4]=>[1,4,2,5,3,6,7,8]=>{{1},{2,3,4,5},{6},{7},{8}}=>{{1},{2,3,4,5},{6},{7},{8}}
[7,8,4,6,2,5,1,3]=>[1,3,2,5,4,6,7,8]=>{{1},{2,3},{4,5},{6},{7},{8}}=>{{1},{2,3},{4,5},{6},{7},{8}}
[7,8,4,6,3,5,1,2]=>[1,2,3,5,4,6,7,8]=>{{1},{2},{3},{4,5},{6},{7},{8}}=>{{1},{2},{3},{4,5},{6},{7},{8}}
[7,8,5,6,2,4,1,3]=>[1,3,2,4,5,6,7,8]=>{{1},{2,3},{4},{5},{6},{7},{8}}=>{{1},{2,3},{4},{5},{6},{7},{8}}
[7,5,3,8,2,6,1,4]=>[1,4,2,6,3,8,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,6,4,8,2,5,1,3]=>[1,3,2,5,4,8,6,7]=>{{1},{2,3},{4,5},{6,7,8}}=>{{1},{2,3},{4,5},{6,7,8}}
[8,5,3,7,2,6,1,4]=>[1,4,2,6,3,7,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[8,6,4,7,2,5,1,3]=>[1,3,2,5,4,7,6,8]=>{{1},{2,3},{4,5},{6,7},{8}}=>{{1},{2,3},{4,5},{6,7},{8}}
[8,7,5,6,2,4,1,3]=>[1,3,2,4,5,6,7,8]=>{{1},{2,3},{4},{5},{6},{7},{8}}=>{{1},{2,3},{4},{5},{6},{7},{8}}
[8,5,4,3,2,7,1,6]=>[1,6,2,7,3,4,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[8,7,6,5,2,4,1,3]=>[1,3,2,4,5,6,7,8]=>{{1},{2,3},{4},{5},{6},{7},{8}}=>{{1},{2,3},{4},{5},{6},{7},{8}}
[3,1,7,2,6,4,8,5]=>[1,7,2,6,3,4,8,5]=>{{1},{2,3,5,7,8},{4,6}}=>{{1},{2,3,7,8},{4,5,6}}
[6,1,5,2,3,8,4,7]=>[1,5,2,3,8,4,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>{{1},{2,3,4,5,6,8},{7}}
[7,1,4,2,6,3,8,5]=>[1,4,2,6,3,8,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[8,1,5,2,7,3,4,6]=>[1,5,2,7,3,4,6,8]=>{{1},{2,3,5},{4,6,7},{8}}=>{{1},{2,3,6,7},{4,5},{8}}
[7,1,5,2,6,3,8,4]=>[1,5,2,6,3,8,4,7]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[3,1,8,6,2,7,4,5]=>[1,8,2,7,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,1,8,6,2,3,4,5]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,3,1,6,2,8,5,7]=>[1,6,2,8,3,4,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,3,1,6,2,4,8,5]=>[1,6,2,4,8,3,5,7]=>{{1},{2,3,6},{4},{5,7,8}}=>{{1},{2,3,7,8},{4},{5,6}}
[8,3,1,5,2,7,4,6]=>[1,5,2,7,3,4,6,8]=>{{1},{2,3,5},{4,6,7},{8}}=>{{1},{2,3,6,7},{4,5},{8}}
[8,3,1,6,2,7,4,5]=>[1,6,2,7,3,4,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[7,4,1,5,2,3,8,6]=>[1,5,2,3,8,4,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,4,1,8,2,3,5,6]=>[1,8,2,3,5,6,4,7]=>{{1},{2,3,4,7,8},{5},{6}}=>{{1},{2,3,4,7,8},{5},{6}}
[6,4,1,5,2,8,3,7]=>[1,5,2,8,3,7,4,6]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[6,8,1,5,2,7,3,4]=>[1,5,2,7,3,4,6,8]=>{{1},{2,3,5},{4,6,7},{8}}=>{{1},{2,3,6,7},{4,5},{8}}
[4,3,1,8,7,2,5,6]=>[1,8,2,5,6,3,4,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,3,8,1,6,7,4,5]=>[1,6,7,2,3,8,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,6,4,1,3,8,5,7]=>[1,3,8,2,6,4,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,6,8,1,3,7,4,5]=>[1,3,7,2,6,8,4,5]=>{{1},{2,3,4,7},{5,6,8}}=>{{1},{2,3,4,6,7},{5,8}}
[6,3,4,1,2,7,8,5]=>[1,2,7,8,3,4,5,6]=>{{1},{2},{3,5,7},{4,6,8}}=>{{1},{2},{3,8},{4,5,6,7}}
[7,3,5,1,2,4,8,6]=>[1,2,4,8,3,5,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[7,5,4,1,2,3,8,6]=>[1,2,3,8,4,5,6,7]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[8,3,4,1,7,2,5,6]=>[1,7,2,5,6,3,4,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[7,3,4,1,6,2,8,5]=>[1,6,2,8,3,4,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,3,5,1,6,2,8,4]=>[1,6,2,8,3,5,4,7]=>{{1},{2,3,5,6},{4,7,8}}=>{{1},{2,3,6},{4,5,7,8}}
[2,8,4,6,1,7,3,5]=>[1,7,2,8,3,5,4,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,3,4,8,6,1,5,7]=>[1,5,7,2,3,4,8,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,3,4,8,6,7,1,5]=>[1,5,2,3,4,8,6,7]=>{{1},{2,3,4,5},{6,7,8}}=>{{1},{2,3,4,5},{6,7,8}}
[6,5,8,7,3,4,1,2]=>[1,2,3,4,5,8,6,7]=>{{1},{2},{3},{4},{5},{6,7,8}}=>{{1},{2},{3},{4},{5},{6,7,8}}
[5,4,3,8,7,6,1,2]=>[1,2,3,8,4,5,6,7]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[6,2,8,4,5,1,7,3]=>[1,7,2,8,3,4,5,6]=>{{1},{2,3,5,7},{4,6,8}}=>{{1},{2,3,8},{4,5,6,7}}
[5,4,2,8,7,1,6,3]=>[1,6,2,8,3,4,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,5,2,7,1,8,6,4]=>[1,8,2,7,3,5,4,6]=>{{1},{2,3,5,6,8},{4,7}}=>{{1},{2,3,6,7},{4,5,8}}
[1,5,3,7,2,6,4,8]=>[1,5,2,6,3,7,4,8]=>{{1},{2,3,5},{4,6,7},{8}}=>{{1},{2,3,6,7},{4,5},{8}}
[4,6,7,2,8,1,5,3]=>[1,5,2,8,3,4,6,7]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[5,6,7,8,2,1,4,3]=>[1,4,2,3,5,6,7,8]=>{{1},{2,3,4},{5},{6},{7},{8}}=>{{1},{2,3,4},{5},{6},{7},{8}}
[7,8,5,6,2,1,4,3]=>[1,4,2,3,5,6,7,8]=>{{1},{2,3,4},{5},{6},{7},{8}}=>{{1},{2,3,4},{5},{6},{7},{8}}
[6,5,8,7,1,2,3,4]=>[1,2,3,4,5,8,6,7]=>{{1},{2},{3},{4},{5},{6,7,8}}=>{{1},{2},{3},{4},{5},{6,7,8}}
[6,4,8,1,7,2,3,5]=>[1,7,2,3,5,4,8,6]=>{{1},{2,3,4,6,7,8},{5}}=>{{1},{2,3,4,6,7,8},{5}}
[4,3,1,2,8,7,5,6]=>[1,2,8,3,4,5,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[6,4,3,7,2,5,1,8]=>[1,8,2,5,3,7,4,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,6,2,7,3,5,1,8]=>[1,8,2,7,3,5,4,6]=>{{1},{2,3,5,6,8},{4,7}}=>{{1},{2,3,6,7},{4,5,8}}
[5,1,6,2,4,8,7,3]=>[1,6,2,4,8,3,5,7]=>{{1},{2,3,6},{4},{5,7,8}}=>{{1},{2,3,7,8},{4},{5,6}}
[8,1,5,4,7,6,2,3]=>[1,5,2,3,4,7,6,8]=>{{1},{2,3,4,5},{6,7},{8}}=>{{1},{2,3,4,5},{6,7},{8}}
[6,1,7,8,2,4,5,3]=>[1,7,8,2,4,5,3,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,1,2,7,8,5,6,3]=>[1,2,7,8,3,4,5,6]=>{{1},{2},{3,5,7},{4,6,8}}=>{{1},{2},{3,8},{4,5,6,7}}
[3,2,1,7,8,5,6,4]=>[1,7,8,2,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[8,7,6,1,4,3,2,5]=>[1,4,2,5,3,6,7,8]=>{{1},{2,3,4,5},{6},{7},{8}}=>{{1},{2,3,4,5},{6},{7},{8}}
[1,6,7,8,3,4,5,2]=>[1,6,7,8,2,3,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,6,2,8,3,1,5,7]=>[1,5,7,2,8,3,4,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,5,2,3,8,1,6,7]=>[1,6,7,2,3,8,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,5,2,3,1,8,7,6]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,4,3,1,2,8,7,5]=>[1,2,8,3,4,5,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[7,4,3,1,8,2,6,5]=>[1,8,2,6,3,4,5,7]=>{{1},{2,3,5,7,8},{4,6}}=>{{1},{2,3,7,8},{4,5,6}}
[1,5,8,3,7,6,4,2]=>[1,5,8,2,3,7,4,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,5,1,3,8,2,6,4]=>[1,3,8,2,6,4,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,6,1,2,3,8,7,4]=>[1,2,3,8,4,5,6,7]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[5,7,1,2,8,3,6,4]=>[1,2,8,3,6,4,5,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[6,7,1,8,2,3,5,4]=>[1,8,2,3,5,4,6,7]=>{{1},{2,3,4,6,7,8},{5}}=>{{1},{2,3,4,6,7,8},{5}}
[7,6,1,8,3,2,5,4]=>[1,8,2,5,3,4,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,8,1,7,2,5,3,4]=>[1,7,2,5,3,4,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[3,2,8,1,7,6,4,5]=>[1,7,2,8,3,4,5,6]=>{{1},{2,3,5,7},{4,6,8}}=>{{1},{2,3,8},{4,5,6,7}}
[4,1,2,8,7,6,5,3]=>[1,2,8,3,4,5,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[5,1,8,2,7,6,4,3]=>[1,8,2,7,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,3,5,2,7,1,8,6]=>[1,8,2,7,3,5,4,6]=>{{1},{2,3,5,6,8},{4,7}}=>{{1},{2,3,6,7},{4,5,8}}
[4,3,5,1,7,2,8,6]=>[1,7,2,8,3,5,4,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,1,5,3,7,2,8,6]=>[1,5,2,8,3,7,4,6]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[4,3,6,5,7,1,8,2]=>[1,8,2,3,6,4,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,2,6,1,7,3,8,4]=>[1,7,2,6,3,8,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,2,6,1,7,3,8,5]=>[1,7,2,6,3,8,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,2,6,1,7,4,8,5]=>[1,7,2,6,3,4,8,5]=>{{1},{2,3,5,7,8},{4,6}}=>{{1},{2,3,7,8},{4,5,6}}
[3,2,5,1,7,4,8,6]=>[1,7,2,5,3,4,8,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,1,4,2,7,6,8,5]=>[1,4,2,7,3,5,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[3,2,5,1,7,6,8,4]=>[1,7,2,5,3,4,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[3,1,5,2,7,6,8,4]=>[1,5,2,7,3,4,6,8]=>{{1},{2,3,5},{4,6,7},{8}}=>{{1},{2,3,6,7},{4,5},{8}}
[4,1,6,2,7,5,8,3]=>[1,6,2,7,3,4,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[5,1,6,2,7,4,8,3]=>[1,6,2,7,3,4,8,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,2,6,1,7,4,8,3]=>[1,7,2,6,3,4,8,5]=>{{1},{2,3,5,7,8},{4,6}}=>{{1},{2,3,7,8},{4,5,6}}
[1,7,4,8,6,3,5,2]=>[1,7,2,3,5,4,8,6]=>{{1},{2,3,4,6,7,8},{5}}=>{{1},{2,3,4,6,7,8},{5}}
[4,7,3,2,1,5,8,6]=>[1,5,8,2,3,4,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>{{1},{2,3,4,5,6,8},{7}}
[1,7,3,4,2,5,8,6]=>[1,7,2,5,8,3,4,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[8,7,6,1,3,4,2,5]=>[1,3,4,2,5,6,7,8]=>{{1},{2,3,4},{5},{6},{7},{8}}=>{{1},{2,3,4},{5},{6},{7},{8}}
[2,7,4,8,1,6,5,3]=>[1,6,2,7,3,4,8,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,6,1,8,7,2,5,3]=>[1,8,2,5,3,4,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,2,5,1,6,8,4,7]=>[1,6,8,2,5,3,4,7]=>{{1},{2,3,4,6,7,8},{5}}=>{{1},{2,3,4,6,7,8},{5}}
[4,2,6,5,3,8,1,7]=>[1,7,2,6,3,8,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,4,3,2,7,1,8,6]=>[1,8,2,7,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,5,3,1,8,6,4,2]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,1,7,4,2,8,3,5]=>[1,7,2,8,3,5,4,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,7,2,1,8,3,4,5]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,5,2,7,1,8,4,6]=>[1,8,2,7,3,5,4,6]=>{{1},{2,3,5,6,8},{4,7}}=>{{1},{2,3,6,7},{4,5,8}}
[4,3,7,8,2,1,5,6]=>[1,5,6,2,3,7,8,4]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,4,8,2,7,1,6,3]=>[1,6,2,7,3,4,8,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,4,8,1,7,2,5,3]=>[1,7,2,5,3,4,8,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,1,6,8,2,7,4,3]=>[1,6,8,2,7,3,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,5,2,8,1,7,4,3]=>[1,7,2,8,3,4,5,6]=>{{1},{2,3,5,7},{4,6,8}}=>{{1},{2,3,8},{4,5,6,7}}
[5,2,7,1,8,6,4,3]=>[1,8,2,7,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,3,5,1,2,4,8,7]=>[1,2,4,8,3,5,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[3,5,2,6,4,1,8,7]=>[1,8,2,6,3,5,4,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,1,2,4,5,3,8,7]=>[1,2,4,5,3,8,6,7]=>{{1},{2},{3,4,5},{6,7,8}}=>{{1},{2},{3,4,5},{6,7,8}}
[2,1,5,7,4,8,6,3]=>[1,5,7,2,3,4,8,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,1,8,2,7,6,5,4]=>[1,8,2,7,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,3,8,1,6,7,5,4]=>[1,6,7,2,3,8,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[8,1,2,3,5,6,7,4]=>[1,2,3,5,6,7,4,8]=>{{1},{2},{3},{4,5,6,7},{8}}=>{{1},{2},{3},{4,5,6,7},{8}}
[5,7,3,8,1,4,2,6]=>[1,4,2,6,3,8,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,1,8,4,5,3,2,6]=>[1,8,2,6,3,4,5,7]=>{{1},{2,3,5,7,8},{4,6}}=>{{1},{2,3,7,8},{4,5,6}}
[2,3,4,1,8,5,7,6]=>[1,8,2,3,4,5,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>{{1},{2,3,4,5,6,8},{7}}
[8,3,5,6,2,7,1,4]=>[1,4,2,7,3,5,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[7,8,5,6,1,4,2,3]=>[1,4,2,3,5,6,7,8]=>{{1},{2,3,4},{5},{6},{7},{8}}=>{{1},{2,3,4},{5},{6},{7},{8}}
[2,1,8,6,5,7,3,4]=>[1,8,2,3,4,5,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>{{1},{2,3,4,5,6,8},{7}}
[2,7,4,1,6,5,8,3]=>[1,6,2,7,3,4,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[4,5,2,6,3,1,8,7]=>[1,8,2,6,3,4,5,7]=>{{1},{2,3,5,7,8},{4,6}}=>{{1},{2,3,7,8},{4,5,6}}
[5,4,3,6,1,2,8,7]=>[1,2,8,3,6,4,5,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[2,8,6,3,1,5,7,4]=>[1,5,7,2,8,3,4,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,8,4,1,6,3,7,5]=>[1,6,2,8,3,7,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,1,2,8,7,5,6,3]=>[1,2,8,3,4,5,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[7,3,5,4,8,6,1,2]=>[1,2,3,5,4,8,6,7]=>{{1},{2},{3},{4,5},{6,7,8}}=>{{1},{2},{3},{4,5},{6,7,8}}
[3,7,5,6,8,4,2,1]=>[1,2,3,7,4,5,6,8]=>{{1},{2},{3},{4,5,6,7},{8}}=>{{1},{2},{3},{4,5,6,7},{8}}
[5,7,1,6,8,2,4,3]=>[1,6,8,2,4,3,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,5,2,6,3,8,1,4]=>[1,4,2,6,3,8,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,7,8,6,3,4,1,2]=>[1,2,3,4,5,7,8,6]=>{{1},{2},{3},{4},{5},{6,7,8}}=>{{1},{2},{3},{4},{5},{6,7,8}}
[2,1,8,7,5,4,3,6]=>[1,8,2,3,6,4,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,5,6,7,2,8,1,3]=>[1,3,2,8,4,5,6,7]=>{{1},{2,3},{4,5,6,7,8}}=>{{1},{2,3},{4,5,6,7,8}}
[4,5,7,6,1,8,3,2]=>[1,8,2,3,4,5,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>{{1},{2,3,4,5,6,8},{7}}
[1,5,8,6,2,7,3,4]=>[1,5,8,2,7,3,4,6]=>{{1},{2,4,5,7},{3,6,8}}=>{{1},{2,5,6,7},{3,4,8}}
[5,1,6,3,4,2,8,7]=>[1,6,2,8,3,4,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,3,4,5,8,7,1,2]=>[1,2,3,4,5,8,6,7]=>{{1},{2},{3},{4},{5},{6,7,8}}=>{{1},{2},{3},{4},{5},{6,7,8}}
[6,2,3,5,4,8,1,7]=>[1,7,2,3,5,4,8,6]=>{{1},{2,3,4,6,7,8},{5}}=>{{1},{2,3,4,6,7,8},{5}}
[5,8,7,6,3,4,1,2]=>[1,2,3,4,5,8,6,7]=>{{1},{2},{3},{4},{5},{6,7,8}}=>{{1},{2},{3},{4},{5},{6,7,8}}
[2,1,8,7,6,5,3,4]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,6,1,2,5,8,3,4]=>[1,2,5,8,3,4,6,7]=>{{1},{2},{3,5},{4,6,7,8}}=>{{1},{2},{3,6,7,8},{4,5}}
[7,3,8,6,1,2,5,4]=>[1,2,5,3,8,4,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[1,8,2,7,3,4,5,6]=>[1,8,2,7,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[1,6,2,8,3,5,4,7]=>[1,6,2,8,3,5,4,7]=>{{1},{2,3,5,6},{4,7,8}}=>{{1},{2,3,6},{4,5,7,8}}
[2,8,4,1,6,5,3,7]=>[1,6,2,8,3,7,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,8,7,4,1,6,3,5]=>[1,6,2,8,3,5,4,7]=>{{1},{2,3,5,6},{4,7,8}}=>{{1},{2,3,6},{4,5,7,8}}
[4,3,2,1,8,6,5,7]=>[1,8,2,3,4,5,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>{{1},{2,3,4,5,6,8},{7}}
[4,2,1,3,8,7,6,5]=>[1,3,8,2,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,1,6,8,4,3,5,2]=>[1,6,8,2,3,5,4,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,1,2,8,4,5,7,3]=>[1,2,8,3,4,5,7,6]=>{{1},{2},{3,4,5,6,8},{7}}=>{{1},{2},{3,4,5,6,8},{7}}
[5,2,1,8,7,6,3,4]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,3,5,6,8,4,2,1]=>[1,2,3,5,6,8,4,7]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[6,3,5,1,8,2,7,4]=>[1,8,2,7,3,5,4,6]=>{{1},{2,3,5,6,8},{4,7}}=>{{1},{2,3,6,7},{4,5,8}}
[3,2,4,1,7,8,5,6]=>[1,7,8,2,4,3,5,6]=>{{1},{2,4,5,7},{3,6,8}}=>{{1},{2,5,6,7},{3,4,8}}
[6,7,3,2,5,4,8,1]=>[1,2,5,3,4,8,6,7]=>{{1},{2},{3,4,5},{6,7,8}}=>{{1},{2},{3,4,5},{6,7,8}}
[7,3,5,1,6,2,4,8]=>[1,6,2,4,8,3,5,7]=>{{1},{2,3,6},{4},{5,7,8}}=>{{1},{2,3,7,8},{4},{5,6}}
[2,3,8,1,5,4,7,6]=>[1,5,2,3,8,4,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>{{1},{2,3,4,5,6,8},{7}}
[2,7,8,4,3,6,5,1]=>[1,2,7,8,3,6,4,5]=>{{1},{2},{3,4,5,7,8},{6}}=>{{1},{2},{3,4,5,7,8},{6}}
[2,7,8,5,6,3,4,1]=>[1,2,7,8,3,4,5,6]=>{{1},{2},{3,5,7},{4,6,8}}=>{{1},{2},{3,8},{4,5,6,7}}
[4,5,7,6,8,1,3,2]=>[1,3,2,4,5,7,6,8]=>{{1},{2,3},{4},{5},{6,7},{8}}=>{{1},{2,3},{4},{5},{6,7},{8}}
[1,8,5,6,7,2,3,4]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,3,6,1,7,8,2,4]=>[1,7,8,2,4,3,6,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,2,1,6,7,8,3,4]=>[1,6,7,8,2,3,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,3,5,1,7,2,8,4]=>[1,7,2,8,3,5,4,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,4,5,7,1,2,8,3]=>[1,2,8,3,4,5,7,6]=>{{1},{2},{3,4,5,6,8},{7}}=>{{1},{2},{3,4,5,6,8},{7}}
[5,6,4,7,2,8,1,3]=>[1,3,2,8,4,7,5,6]=>{{1},{2,3},{4,5,6,7,8}}=>{{1},{2,3},{4,5,6,7,8}}
[1,8,4,6,2,7,3,5]=>[1,8,2,7,3,5,4,6]=>{{1},{2,3,5,6,8},{4,7}}=>{{1},{2,3,6,7},{4,5,8}}
[6,5,3,2,7,1,8,4]=>[1,8,2,7,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,4,3,2,1,7,8,5]=>[1,7,8,2,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,5,3,2,8,1,7,6]=>[1,7,2,8,3,4,5,6]=>{{1},{2,3,5,7},{4,6,8}}=>{{1},{2,3,8},{4,5,6,7}}
[1,8,3,2,7,6,5,4]=>[1,8,2,7,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[1,8,4,7,2,6,5,3]=>[1,8,2,6,3,4,7,5]=>{{1},{2,3,5,8},{4,6},{7}}=>{{1},{2,3,8},{4,5,6},{7}}
[3,4,5,8,1,2,7,6]=>[1,2,7,3,4,5,8,6]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[3,4,6,8,1,7,2,5]=>[1,7,2,5,3,4,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[4,2,1,7,8,6,5,3]=>[1,7,8,2,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,4,8,7,1,6,5,3]=>[1,6,2,4,8,3,5,7]=>{{1},{2,3,6},{4},{5,7,8}}=>{{1},{2,3,7,8},{4},{5,6}}
[8,1,4,3,2,7,6,5]=>[1,4,2,7,3,5,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[8,1,5,3,7,2,6,4]=>[1,5,2,6,3,7,4,8]=>{{1},{2,3,5},{4,6,7},{8}}=>{{1},{2,3,6,7},{4,5},{8}}
[3,7,8,4,2,6,1,5]=>[1,5,2,6,3,7,8,4]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[3,5,4,2,8,7,1,6]=>[1,6,2,8,3,5,4,7]=>{{1},{2,3,5,6},{4,7,8}}=>{{1},{2,3,6},{4,5,7,8}}
[5,4,2,3,1,8,6,7]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,5,3,1,8,2,7,4]=>[1,8,2,7,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,5,4,1,8,7,2,3]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,4,1,3,2,8,6,5]=>[1,3,2,8,4,5,6,7]=>{{1},{2,3},{4,5,6,7,8}}=>{{1},{2,3},{4,5,6,7,8}}
[6,4,2,1,3,8,5,7]=>[1,3,8,2,4,5,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>{{1},{2,3,4,5,6,8},{7}}
[7,6,1,8,2,3,4,5]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,6,1,8,4,5,2,3]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,7,8,1,3,2,5,4]=>[1,3,2,5,4,6,7,8]=>{{1},{2,3},{4,5},{6},{7},{8}}=>{{1},{2,3},{4,5},{6},{7},{8}}
[2,5,6,7,8,3,4,1]=>[1,2,5,6,7,8,3,4]=>{{1},{2},{3,5,7},{4,6,8}}=>{{1},{2},{3,8},{4,5,6,7}}
[4,7,8,3,2,1,6,5]=>[1,6,2,3,4,7,8,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,5,6,7,8,2,1,4]=>[1,4,2,3,5,6,7,8]=>{{1},{2,3,4},{5},{6},{7},{8}}=>{{1},{2,3,4},{5},{6},{7},{8}}
[3,4,6,7,2,8,1,5]=>[1,5,2,8,3,4,6,7]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[7,4,6,1,8,3,5,2]=>[1,8,2,3,5,4,6,7]=>{{1},{2,3,4,6,7,8},{5}}=>{{1},{2,3,4,6,7,8},{5}}
[7,3,5,1,8,4,6,2]=>[1,8,2,3,5,4,6,7]=>{{1},{2,3,4,6,7,8},{5}}=>{{1},{2,3,4,6,7,8},{5}}
[7,3,4,1,8,5,6,2]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,5,7,3,1,8,6,2]=>[1,8,2,3,4,5,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>{{1},{2,3,4,5,6,8},{7}}
[7,5,6,1,8,3,4,2]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,5,7,1,3,8,2,6]=>[1,3,8,2,6,4,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,2,3,1,8,6,7,4]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,1,5,3,8,2,6,4]=>[1,5,2,6,3,8,4,7]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[6,1,5,2,8,3,7,4]=>[1,5,2,8,3,7,4,6]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[6,1,4,2,8,3,7,5]=>[1,4,2,8,3,7,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,1,4,3,8,2,6,5]=>[1,4,2,6,3,8,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,1,3,2,8,4,7,6]=>[1,3,2,8,4,7,5,6]=>{{1},{2,3},{4,5,6,7,8}}=>{{1},{2,3},{4,5,6,7,8}}
[7,1,3,5,8,2,4,6]=>[1,3,5,8,2,4,6,7]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[7,8,5,6,1,3,4,2]=>[1,3,4,2,5,6,7,8]=>{{1},{2,3,4},{5},{6},{7},{8}}=>{{1},{2,3,4},{5},{6},{7},{8}}
[7,8,1,5,4,6,3,2]=>[1,5,2,3,4,6,7,8]=>{{1},{2,3,4,5},{6},{7},{8}}=>{{1},{2,3,4,5},{6},{7},{8}}
[2,6,4,8,3,7,1,5]=>[1,5,2,6,3,7,4,8]=>{{1},{2,3,5},{4,6,7},{8}}=>{{1},{2,3,6,7},{4,5},{8}}
[3,5,6,7,8,1,4,2]=>[1,4,2,3,5,6,7,8]=>{{1},{2,3,4},{5},{6},{7},{8}}=>{{1},{2,3,4},{5},{6},{7},{8}}
[3,7,6,8,5,4,1,2]=>[1,2,3,7,4,5,6,8]=>{{1},{2},{3},{4,5,6,7},{8}}=>{{1},{2},{3},{4,5,6,7},{8}}
[4,3,8,5,6,7,1,2]=>[1,2,3,8,4,5,6,7]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[4,2,8,1,6,3,7,5]=>[1,6,2,8,3,7,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,5,2,4,3,1,6,8]=>[1,6,8,2,4,3,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,4,2,6,5,1,3,8]=>[1,3,8,2,6,4,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,4,6,3,1,5,2,8]=>[1,5,2,8,3,4,6,7]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[4,1,2,8,5,6,7,3]=>[1,2,8,3,4,5,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[5,3,8,7,6,2,4,1]=>[1,2,4,3,8,5,6,7]=>{{1},{2},{3,4},{5,6,7,8}}=>{{1},{2},{3,4},{5,6,7,8}}
[6,4,8,3,1,7,2,5]=>[1,7,2,5,3,4,8,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,4,2,8,7,1,3,5]=>[1,3,5,2,8,4,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,3,8,7,2,5,1,4]=>[1,4,2,5,3,8,6,7]=>{{1},{2,3,4,5},{6,7,8}}=>{{1},{2,3,4,5},{6,7,8}}
[4,2,5,6,1,8,7,3]=>[1,8,2,5,6,3,4,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,1,4,2,5,3,8,6]=>[1,4,2,5,3,8,6,7]=>{{1},{2,3,4,5},{6,7,8}}=>{{1},{2,3,4,5},{6,7,8}}
[3,1,2,6,8,5,4,7]=>[1,2,6,8,3,4,7,5]=>{{1},{2},{3,4,5,6,8},{7}}=>{{1},{2},{3,4,5,6,8},{7}}
[2,4,1,7,8,6,5,3]=>[1,7,8,2,4,3,5,6]=>{{1},{2,4,5,7},{3,6,8}}=>{{1},{2,5,6,7},{3,4,8}}
[6,4,7,5,2,8,1,3]=>[1,3,2,8,4,7,5,6]=>{{1},{2,3},{4,5,6,7,8}}=>{{1},{2,3},{4,5,6,7,8}}
[4,8,3,1,7,2,5,6]=>[1,7,2,5,6,3,4,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[5,8,4,7,3,1,6,2]=>[1,6,2,3,4,7,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[3,5,1,8,2,7,4,6]=>[1,8,2,7,3,5,4,6]=>{{1},{2,3,5,6,8},{4,7}}=>{{1},{2,3,6,7},{4,5,8}}
[7,5,1,3,6,2,4,8]=>[1,3,6,2,4,8,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,1,6,2,8,3,7,5]=>[1,6,2,8,3,7,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[1,6,2,8,5,3,7,4]=>[1,6,2,8,3,7,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,6,7,3,1,8,4,2]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,6,2,1,7,8,4,3]=>[1,7,8,2,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,4,7,2,8,1,5,3]=>[1,5,2,8,3,4,7,6]=>{{1},{2,3,5},{4,6,8},{7}}=>{{1},{2,3,6,8},{4,5},{7}}
[6,7,4,8,3,1,5,2]=>[1,5,2,3,4,8,6,7]=>{{1},{2,3,4,5},{6,7,8}}=>{{1},{2,3,4,5},{6,7,8}}
[5,7,3,8,2,6,1,4]=>[1,4,2,6,3,8,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[8,1,7,2,6,3,5,4]=>[1,7,2,6,3,5,4,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[4,8,2,7,1,6,5,3]=>[1,6,2,7,3,4,8,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,7,2,8,1,5,6,3]=>[1,5,6,2,8,3,4,7]=>{{1},{2,4,5,7,8},{3,6}}=>{{1},{2,5,6},{3,4,7,8}}
[5,4,3,2,8,1,7,6]=>[1,7,2,8,3,4,5,6]=>{{1},{2,3,5,7},{4,6,8}}=>{{1},{2,3,8},{4,5,6,7}}
[3,2,5,4,8,1,7,6]=>[1,7,2,5,3,4,8,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,4,3,1,5,2,7,8]=>[1,5,2,7,8,3,4,6]=>{{1},{2,3,5,6,8},{4,7}}=>{{1},{2,3,6,7},{4,5,8}}
[6,7,3,8,5,1,2,4]=>[1,2,4,3,8,5,6,7]=>{{1},{2},{3,4},{5,6,7,8}}=>{{1},{2},{3,4},{5,6,7,8}}
[6,7,4,5,1,8,3,2]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,4,7,6,2,3,8,1]=>[1,2,3,8,4,7,5,6]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[4,3,8,7,6,1,2,5]=>[1,2,5,3,8,4,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[4,5,6,7,1,8,3,2]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[8,1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7,8]=>{{1},{2,3},{4,5},{6},{7},{8}}=>{{1},{2,3},{4,5},{6},{7},{8}}
[2,4,1,6,8,7,5,3]=>[1,6,8,2,4,3,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[8,3,2,1,6,5,4,7]=>[1,6,2,3,4,7,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[8,4,2,6,1,5,3,7]=>[1,5,2,6,3,7,4,8]=>{{1},{2,3,5},{4,6,7},{8}}=>{{1},{2,3,6,7},{4,5},{8}}
[4,2,8,7,1,6,3,5]=>[1,6,2,8,3,5,4,7]=>{{1},{2,3,5,6},{4,7,8}}=>{{1},{2,3,6},{4,5,7,8}}
[6,7,2,1,8,5,4,3]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,7,2,8,1,5,3,4]=>[1,5,2,8,3,4,6,7]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[6,7,8,2,1,4,3,5]=>[1,4,2,3,5,6,7,8]=>{{1},{2,3,4},{5},{6},{7},{8}}=>{{1},{2,3,4},{5},{6},{7},{8}}
[5,8,7,1,2,3,4,6]=>[1,2,3,4,6,5,8,7]=>{{1},{2},{3},{4},{5,6},{7,8}}=>{{1},{2},{3},{4},{5,6},{7,8}}
[3,1,2,8,7,5,6,4]=>[1,2,8,3,4,5,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[3,6,4,5,7,2,8,1]=>[1,2,8,3,6,4,5,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[4,8,1,3,7,2,6,5]=>[1,3,7,2,6,4,8,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,6,1,8,4,3,2,5]=>[1,8,2,5,3,4,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,1,2,8,3,5,4,6]=>[1,2,8,3,5,4,6,7]=>{{1},{2},{3,4,6,7,8},{5}}=>{{1},{2},{3,4,6,7,8},{5}}
[4,2,5,7,1,8,3,6]=>[1,8,2,5,7,3,6,4]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[1,5,3,4,6,8,2,7]=>[1,5,2,7,3,4,6,8]=>{{1},{2,3,5},{4,6,7},{8}}=>{{1},{2,3,6,7},{4,5},{8}}
[6,5,1,8,7,4,2,3]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,7,4,8,3,5,1,2]=>[1,2,3,5,4,8,6,7]=>{{1},{2},{3},{4,5},{6,7,8}}=>{{1},{2},{3},{4,5},{6,7,8}}
[6,7,4,5,2,8,1,3]=>[1,3,2,8,4,5,6,7]=>{{1},{2,3},{4,5,6,7,8}}=>{{1},{2,3},{4,5,6,7,8}}
[5,7,4,8,3,6,1,2]=>[1,2,3,6,4,8,5,7]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[6,8,4,5,3,7,1,2]=>[1,2,3,7,4,5,6,8]=>{{1},{2},{3},{4,5,6,7},{8}}=>{{1},{2},{3},{4,5,6,7},{8}}
[6,8,4,5,2,7,1,3]=>[1,3,2,7,4,5,6,8]=>{{1},{2,3},{4,5,6,7},{8}}=>{{1},{2,3},{4,5,6,7},{8}}
[6,8,3,5,2,7,1,4]=>[1,4,2,7,3,5,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[4,6,3,7,2,5,1,8]=>[1,8,2,5,3,7,4,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,7,3,8,2,6,1,5]=>[1,5,2,6,3,8,4,7]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[5,7,4,8,2,6,1,3]=>[1,3,2,6,4,8,5,7]=>{{1},{2,3},{4,5,6,7,8}}=>{{1},{2,3},{4,5,6,7,8}}
[6,7,3,5,2,8,1,4]=>[1,4,2,8,3,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,7,3,8,2,5,1,4]=>[1,4,2,5,3,8,6,7]=>{{1},{2,3,4,5},{6,7,8}}=>{{1},{2,3,4,5},{6,7,8}}
[6,7,4,8,2,5,1,3]=>[1,3,2,5,4,8,6,7]=>{{1},{2,3},{4,5},{6,7,8}}=>{{1},{2,3},{4,5},{6,7,8}}
[6,7,4,8,2,3,1,5]=>[1,5,2,3,4,8,6,7]=>{{1},{2,3,4,5},{6,7,8}}=>{{1},{2,3,4,5},{6,7,8}}
[6,7,3,8,2,4,1,5]=>[1,5,2,4,3,8,6,7]=>{{1},{2,3,5},{4},{6,7,8}}=>{{1},{2,3,5},{4},{6,7,8}}
[5,7,4,8,2,3,1,6]=>[1,6,2,3,4,8,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,8,4,7,2,3,1,6]=>[1,6,2,3,4,7,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[6,8,4,7,2,3,1,5]=>[1,5,2,3,4,7,6,8]=>{{1},{2,3,4,5},{6,7},{8}}=>{{1},{2,3,4,5},{6,7},{8}}
[7,8,4,6,2,3,1,5]=>[1,5,2,3,4,6,7,8]=>{{1},{2,3,4,5},{6},{7},{8}}=>{{1},{2,3,4,5},{6},{7},{8}}
[4,8,3,7,2,5,1,6]=>[1,6,2,5,3,7,4,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[4,7,3,8,2,5,1,6]=>[1,6,2,5,3,8,4,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,4,5,3,1,8,2,6]=>[1,8,2,6,3,4,5,7]=>{{1},{2,3,5,7,8},{4,6}}=>{{1},{2,3,7,8},{4,5,6}}
[6,8,4,2,7,5,1,3]=>[1,3,2,7,4,5,6,8]=>{{1},{2,3},{4,5,6,7},{8}}=>{{1},{2,3},{4,5,6,7},{8}}
[7,4,6,3,8,1,2,5]=>[1,2,5,3,8,4,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[5,1,7,8,6,2,4,3]=>[1,7,8,2,4,3,5,6]=>{{1},{2,4,5,7},{3,6,8}}=>{{1},{2,5,6,7},{3,4,8}}
[8,5,2,7,3,1,6,4]=>[1,6,2,7,3,4,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[7,4,5,6,3,1,8,2]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,6,4,1,8,5,7,3]=>[1,8,2,6,3,4,5,7]=>{{1},{2,3,5,7,8},{4,6}}=>{{1},{2,3,7,8},{4,5,6}}
[4,8,1,6,3,2,7,5]=>[1,6,2,7,3,4,8,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[1,4,2,7,8,6,3,5]=>[1,4,2,7,8,3,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,7,2,8,6,1,5,3]=>[1,5,2,8,3,4,7,6]=>{{1},{2,3,5},{4,6,8},{7}}=>{{1},{2,3,6,8},{4,5},{7}}
[6,2,7,3,5,1,8,4]=>[1,8,2,7,3,5,4,6]=>{{1},{2,3,5,6,8},{4,7}}=>{{1},{2,3,6,7},{4,5,8}}
[7,2,5,1,8,3,4,6]=>[1,8,2,5,3,4,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[1,8,7,4,3,2,5,6]=>[1,8,2,5,6,3,4,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,8,4,7,2,1,6,3]=>[1,6,2,3,4,7,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[1,8,7,5,4,3,6,2]=>[1,8,2,3,6,4,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,7,3,8,5,2,1,4]=>[1,4,2,3,8,5,6,7]=>{{1},{2,3,4},{5,6,7,8}}=>{{1},{2,3,4},{5,6,7,8}}
[4,6,2,7,8,1,5,3]=>[1,5,2,7,8,3,4,6]=>{{1},{2,3,5,6,8},{4,7}}=>{{1},{2,3,6,7},{4,5,8}}
[4,5,7,2,1,8,6,3]=>[1,8,2,3,4,5,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>{{1},{2,3,4,5,6,8},{7}}
[5,6,3,4,1,2,8,7]=>[1,2,8,3,4,5,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[2,1,7,8,5,6,3,4]=>[1,7,8,2,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,8,4,6,1,5,2,3]=>[1,5,2,3,4,6,7,8]=>{{1},{2,3,4,5},{6},{7},{8}}=>{{1},{2,3,4,5},{6},{7},{8}}
[1,8,6,7,4,5,2,3]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,8,2,7,1,5,3,4]=>[1,5,2,7,3,4,6,8]=>{{1},{2,3,5},{4,6,7},{8}}=>{{1},{2,3,6,7},{4,5},{8}}
[6,8,2,7,3,5,1,4]=>[1,4,2,7,3,5,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[6,8,2,7,4,5,1,3]=>[1,3,2,7,4,5,6,8]=>{{1},{2,3},{4,5,6,7},{8}}=>{{1},{2,3},{4,5,6,7},{8}}
[6,8,3,7,4,5,1,2]=>[1,2,3,7,4,5,6,8]=>{{1},{2},{3},{4,5,6,7},{8}}=>{{1},{2},{3},{4,5,6,7},{8}}
[3,8,6,7,4,5,1,2]=>[1,2,3,8,4,5,6,7]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[2,8,6,7,4,5,1,3]=>[1,3,2,8,4,5,6,7]=>{{1},{2,3},{4,5,6,7,8}}=>{{1},{2,3},{4,5,6,7,8}}
[2,8,6,7,3,5,1,4]=>[1,4,2,8,3,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,8,3,7,1,6,2,5]=>[1,6,2,5,3,7,4,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[5,8,4,7,1,6,2,3]=>[1,6,2,3,4,7,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[6,8,4,7,1,5,2,3]=>[1,5,2,3,4,7,6,8]=>{{1},{2,3,4,5},{6,7},{8}}=>{{1},{2,3,4,5},{6,7},{8}}
[5,8,6,7,3,4,1,2]=>[1,2,3,4,5,8,6,7]=>{{1},{2},{3},{4},{5},{6,7,8}}=>{{1},{2},{3},{4},{5},{6,7,8}}
[4,8,6,7,1,5,2,3]=>[1,5,2,3,4,8,6,7]=>{{1},{2,3,4,5},{6,7,8}}=>{{1},{2,3,4,5},{6,7,8}}
[4,8,5,7,1,6,2,3]=>[1,6,2,3,4,8,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,8,6,7,1,5,2,4]=>[1,5,2,4,3,8,6,7]=>{{1},{2,3,5},{4},{6,7,8}}=>{{1},{2,3,5},{4},{6,7,8}}
[3,8,6,7,2,5,1,4]=>[1,4,2,5,3,8,6,7]=>{{1},{2,3,4,5},{6,7,8}}=>{{1},{2,3,4,5},{6,7,8}}
[4,8,6,7,2,5,1,3]=>[1,3,2,5,4,8,6,7]=>{{1},{2,3},{4,5},{6,7,8}}=>{{1},{2,3},{4,5},{6,7,8}}
[4,8,6,7,3,5,1,2]=>[1,2,3,5,4,8,6,7]=>{{1},{2},{3},{4,5},{6,7,8}}=>{{1},{2},{3},{4,5},{6,7,8}}
[4,8,5,7,3,6,1,2]=>[1,2,3,6,4,8,5,7]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[4,8,5,7,2,6,1,3]=>[1,3,2,6,4,8,5,7]=>{{1},{2,3},{4,5,6,7,8}}=>{{1},{2,3},{4,5,6,7,8}}
[3,8,5,7,2,6,1,4]=>[1,4,2,6,3,8,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,8,4,7,2,6,1,5]=>[1,5,2,6,3,8,4,7]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[3,8,4,7,1,6,2,5]=>[1,6,2,5,3,8,4,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,5,2,8,6,4,1,3]=>[1,3,2,8,4,5,6,7]=>{{1},{2,3},{4,5,6,7,8}}=>{{1},{2,3},{4,5,6,7,8}}
[7,3,8,6,2,5,1,4]=>[1,4,2,5,3,8,6,7]=>{{1},{2,3,4,5},{6,7,8}}=>{{1},{2,3,4,5},{6,7,8}}
[7,4,2,8,6,1,3,5]=>[1,3,5,2,8,4,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,3,8,2,4,7,1,6]=>[1,6,2,4,7,3,8,5]=>{{1},{2,3,6},{4},{5,7,8}}=>{{1},{2,3,7,8},{4},{5,6}}
[6,4,3,1,2,8,5,7]=>[1,2,8,3,4,5,7,6]=>{{1},{2},{3,4,5,6,8},{7}}=>{{1},{2},{3,4,5,6,8},{7}}
[6,4,2,8,1,3,7,5]=>[1,3,7,2,8,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,5,3,1,4,2,8,7]=>[1,4,2,8,3,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,7,8,1,4,3,2,5]=>[1,4,2,5,3,6,7,8]=>{{1},{2,3,4,5},{6},{7},{8}}=>{{1},{2,3,4,5},{6},{7},{8}}
[8,2,6,1,4,3,7,5]=>[1,4,2,6,3,7,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[8,7,6,5,2,1,4,3]=>[1,4,2,3,5,6,7,8]=>{{1},{2,3,4},{5},{6},{7},{8}}=>{{1},{2,3,4},{5},{6},{7},{8}}
[4,3,6,7,8,5,1,2]=>[1,2,3,6,7,8,4,5]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[2,1,6,4,8,7,5,3]=>[1,6,2,3,4,8,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[1,8,7,6,4,3,2,5]=>[1,8,2,5,3,4,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,2,6,1,8,5,7,3]=>[1,8,2,6,3,4,5,7]=>{{1},{2,3,5,7,8},{4,6}}=>{{1},{2,3,7,8},{4,5,6}}
[2,8,1,5,4,6,7,3]=>[1,5,2,8,3,4,6,7]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[4,3,7,1,2,5,8,6]=>[1,2,5,8,3,7,4,6]=>{{1},{2},{3,5},{4,6,7,8}}=>{{1},{2},{3,6,7,8},{4,5}}
[7,6,3,5,4,8,1,2]=>[1,2,3,5,4,8,6,7]=>{{1},{2},{3},{4,5},{6,7,8}}=>{{1},{2},{3},{4,5},{6,7,8}}
[4,5,6,3,8,7,1,2]=>[1,2,3,8,4,5,6,7]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[5,8,7,1,2,4,3,6]=>[1,2,4,3,6,5,8,7]=>{{1},{2},{3,4},{5,6},{7,8}}=>{{1},{2},{3,4},{5,6},{7,8}}
[7,6,5,1,4,3,2,8]=>[1,4,2,8,3,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,6,4,5,1,3,8,7]=>[1,3,8,2,6,4,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,2,6,3,8,1,7,5]=>[1,7,2,6,3,8,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,2,3,5,4,1,8,6]=>[1,8,2,3,5,4,6,7]=>{{1},{2,3,4,6,7,8},{5}}=>{{1},{2,3,4,6,7,8},{5}}
[4,1,3,2,8,5,6,7]=>[1,3,2,8,4,5,6,7]=>{{1},{2,3},{4,5,6,7,8}}=>{{1},{2,3},{4,5,6,7,8}}
[4,3,6,1,5,8,2,7]=>[1,5,8,2,7,3,6,4]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,4,3,2,1,8,6,7]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,5,3,4,1,8,6,7]=>[1,8,2,5,3,4,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,3,5,2,1,8,6,7]=>[1,8,2,3,5,4,6,7]=>{{1},{2,3,4,6,7,8},{5}}=>{{1},{2,3,4,6,7,8},{5}}
[4,2,1,6,8,3,5,7]=>[1,6,8,2,3,5,7,4]=>{{1},{2,3,4,5,6,8},{7}}=>{{1},{2,3,4,5,6,8},{7}}
[6,1,5,2,4,3,8,7]=>[1,5,2,4,3,8,6,7]=>{{1},{2,3,5},{4},{6,7,8}}=>{{1},{2,3,5},{4},{6,7,8}}
[6,1,3,2,5,4,8,7]=>[1,3,2,5,4,8,6,7]=>{{1},{2,3},{4,5},{6,7,8}}=>{{1},{2,3},{4,5},{6,7,8}}
[8,1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6,8]=>{{1},{2,3},{4,5},{6,7},{8}}=>{{1},{2,3},{4,5},{6,7},{8}}
[4,1,3,2,7,6,8,5]=>[1,3,2,7,4,5,6,8]=>{{1},{2,3},{4,5,6,7},{8}}=>{{1},{2,3},{4,5,6,7},{8}}
[1,4,3,8,7,5,6,2]=>[1,4,2,3,8,5,6,7]=>{{1},{2,3,4},{5,6,7,8}}=>{{1},{2,3,4},{5,6,7,8}}
[7,1,6,8,4,3,2,5]=>[1,6,8,2,5,3,4,7]=>{{1},{2,3,4,6,7,8},{5}}=>{{1},{2,3,4,6,7,8},{5}}
[6,7,1,4,2,8,3,5]=>[1,4,2,8,3,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[8,7,6,5,1,4,2,3]=>[1,4,2,3,5,6,7,8]=>{{1},{2,3,4},{5},{6},{7},{8}}=>{{1},{2,3,4},{5},{6},{7},{8}}
[6,5,3,1,2,4,8,7]=>[1,2,4,8,3,5,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[8,5,3,7,1,4,2,6]=>[1,4,2,6,3,7,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[7,2,5,1,4,3,8,6]=>[1,4,2,5,3,8,6,7]=>{{1},{2,3,4,5},{6,7,8}}=>{{1},{2,3,4,5},{6,7,8}}
[6,4,3,2,1,8,5,7]=>[1,8,2,3,4,5,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>{{1},{2,3,4,5,6,8},{7}}
[4,3,6,7,8,1,2,5]=>[1,2,5,3,6,7,8,4]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[4,6,3,7,1,8,2,5]=>[1,8,2,5,3,7,4,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[8,1,5,2,7,4,6,3]=>[1,5,2,7,3,4,6,8]=>{{1},{2,3,5},{4,6,7},{8}}=>{{1},{2,3,6,7},{4,5},{8}}
[5,3,6,4,7,8,1,2]=>[1,2,3,6,4,7,8,5]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[4,6,8,2,7,1,5,3]=>[1,5,2,7,3,4,6,8]=>{{1},{2,3,5},{4,6,7},{8}}=>{{1},{2,3,6,7},{4,5},{8}}
[7,5,3,8,1,4,2,6]=>[1,4,2,6,3,8,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,5,3,8,6,1,2,4]=>[1,2,4,3,8,5,6,7]=>{{1},{2},{3,4},{5,6,7,8}}=>{{1},{2},{3,4},{5,6,7,8}}
[3,6,8,2,5,7,1,4]=>[1,4,2,5,7,3,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[5,3,1,6,4,2,8,7]=>[1,6,2,8,3,4,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,4,2,7,3,5,1,8]=>[1,8,2,7,3,5,4,6]=>{{1},{2,3,5,6,8},{4,7}}=>{{1},{2,3,6,7},{4,5,8}}
[4,3,1,2,8,7,6,5]=>[1,2,8,3,4,5,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[5,7,1,2,8,6,3,4]=>[1,2,8,3,4,5,7,6]=>{{1},{2},{3,4,5,6,8},{7}}=>{{1},{2},{3,4,5,6,8},{7}}
[1,8,5,7,4,3,2,6]=>[1,8,2,6,3,4,5,7]=>{{1},{2,3,5,7,8},{4,6}}=>{{1},{2,3,7,8},{4,5,6}}
[1,6,8,5,4,3,2,7]=>[1,6,8,2,7,3,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,6,7,8,1,3,4,2]=>[1,3,4,2,5,6,7,8]=>{{1},{2,3,4},{5},{6},{7},{8}}=>{{1},{2,3,4},{5},{6},{7},{8}}
[5,7,8,6,1,2,3,4]=>[1,2,3,4,5,7,8,6]=>{{1},{2},{3},{4},{5},{6,7,8}}=>{{1},{2},{3},{4},{5},{6,7,8}}
[4,2,1,5,6,3,7,8]=>[1,5,6,2,3,7,8,4]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,8,1,6,4,3,2,7]=>[1,6,2,7,3,4,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[1,4,3,7,2,6,5,8]=>[1,4,2,6,3,7,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[4,2,6,1,8,3,7,5]=>[1,8,2,6,3,7,4,5]=>{{1},{2,3,5,8},{4,6,7}}=>{{1},{2,3,7},{4,5,6,8}}
[5,6,3,8,4,7,1,2]=>[1,2,3,8,4,7,5,6]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[5,6,2,7,3,4,1,8]=>[1,8,2,7,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,5,2,3,1,8,6,7]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[1,6,4,7,3,8,2,5]=>[1,6,2,5,3,8,4,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,7,1,8,2,5,3,4]=>[1,8,2,5,3,4,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,7,1,8,4,5,2,3]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,7,3,4,1,8,2,5]=>[1,8,2,5,3,4,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,3,1,8,6,7,4,5]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,8,1,7,3,5,4,6]=>[1,7,2,8,3,5,4,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,5,1,7,3,8,2,6]=>[1,7,2,6,3,8,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,5,4,1,6,3,8,7]=>[1,6,2,5,3,8,4,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,6,7,8,1,4,3,2]=>[1,4,2,3,5,6,7,8]=>{{1},{2,3,4},{5},{6},{7},{8}}=>{{1},{2,3,4},{5},{6},{7},{8}}
[6,1,2,3,7,5,8,4]=>[1,2,3,7,4,5,8,6]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[4,1,2,3,7,6,8,5]=>[1,2,3,7,4,5,6,8]=>{{1},{2},{3},{4,5,6,7},{8}}=>{{1},{2},{3},{4,5,6,7},{8}}
[4,7,1,2,5,3,8,6]=>[1,2,5,3,8,4,7,6]=>{{1},{2},{3,4,5,6,8},{7}}=>{{1},{2},{3,4,5,6,8},{7}}
[1,4,7,2,6,8,3,5]=>[1,4,7,2,6,8,3,5]=>{{1},{2,4},{3,7},{5,6,8}}=>{{1},{2,6,7},{3,4},{5,8}}
[1,2,4,5,8,3,7,6]=>[1,2,4,5,8,3,7,6]=>{{1},{2},{3,4,5,6,8},{7}}=>{{1},{2},{3,4,5,6,8},{7}}
[4,8,1,5,2,3,7,6]=>[1,5,2,3,7,4,8,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,5,4,1,2,3,8,7]=>[1,2,3,8,4,5,6,7]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[4,5,6,7,8,1,3,2]=>[1,3,2,4,5,6,7,8]=>{{1},{2,3},{4},{5},{6},{7},{8}}=>{{1},{2,3},{4},{5},{6},{7},{8}}
[8,1,5,3,4,2,7,6]=>[1,5,2,7,3,4,6,8]=>{{1},{2,3,5},{4,6,7},{8}}=>{{1},{2,3,6,7},{4,5},{8}}
[6,3,2,1,5,7,4,8]=>[1,5,7,2,3,4,8,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,8,4,2,7,1,6,3]=>[1,6,2,7,3,4,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[4,8,7,3,2,1,6,5]=>[1,6,2,3,4,8,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,4,2,6,7,1,3,8]=>[1,3,8,2,6,7,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,3,7,2,1,4,5,8]=>[1,4,5,8,2,3,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>{{1},{2,3,4,5,6,8},{7}}
[2,8,7,6,1,4,3,5]=>[1,4,2,8,3,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,8,3,1,6,4,7,2]=>[1,6,2,3,4,7,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[6,4,2,1,5,8,3,7]=>[1,5,8,2,3,7,4,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,1,7,2,5,4,8,6]=>[1,7,2,5,3,4,8,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[8,2,7,1,6,4,5,3]=>[1,6,2,7,3,4,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[8,2,7,5,6,1,4,3]=>[1,4,2,7,3,5,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[8,6,7,2,3,1,5,4]=>[1,5,2,3,4,6,7,8]=>{{1},{2,3,4,5},{6},{7},{8}}=>{{1},{2,3,4,5},{6},{7},{8}}
[6,3,4,2,1,7,8,5]=>[1,7,8,2,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,3,4,1,8,6,5,7]=>[1,8,2,3,4,5,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>{{1},{2,3,4,5,6,8},{7}}
[3,5,2,7,4,8,6,1]=>[1,2,7,3,5,4,8,6]=>{{1},{2},{3,4,6,7,8},{5}}=>{{1},{2},{3,4,6,7,8},{5}}
[3,5,6,2,7,8,1,4]=>[1,4,2,7,8,3,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,6,2,7,4,8,5,1]=>[1,2,7,3,6,4,8,5]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[3,6,2,7,8,5,4,1]=>[1,2,7,8,3,6,4,5]=>{{1},{2},{3,4,5,7,8},{6}}=>{{1},{2},{3,4,5,7,8},{6}}
[4,5,7,3,2,8,6,1]=>[1,2,8,3,4,5,7,6]=>{{1},{2},{3,4,5,6,8},{7}}=>{{1},{2},{3,4,5,6,8},{7}}
[4,6,2,8,3,5,1,7]=>[1,7,2,8,3,5,4,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,1,2,3,8,5,6,4]=>[1,2,3,8,4,5,6,7]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[7,1,8,6,3,4,5,2]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[8,3,2,5,7,6,1,4]=>[1,4,2,5,7,3,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[5,6,7,3,8,4,2,1]=>[1,2,3,8,4,5,6,7]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[2,1,4,6,8,5,7,3]=>[1,4,6,8,2,3,5,7]=>{{1},{2,4,5,7,8},{3,6}}=>{{1},{2,5,6},{3,4,7,8}}
[8,6,7,1,5,3,4,2]=>[1,5,2,3,4,6,7,8]=>{{1},{2,3,4,5},{6},{7},{8}}=>{{1},{2,3,4,5},{6},{7},{8}}
[8,7,6,5,4,1,3,2]=>[1,3,2,4,5,6,7,8]=>{{1},{2,3},{4},{5},{6},{7},{8}}=>{{1},{2,3},{4},{5},{6},{7},{8}}
[8,6,7,4,5,1,3,2]=>[1,3,2,4,5,6,7,8]=>{{1},{2,3},{4},{5},{6},{7},{8}}=>{{1},{2,3},{4},{5},{6},{7},{8}}
[8,6,7,3,5,1,4,2]=>[1,4,2,3,5,6,7,8]=>{{1},{2,3,4},{5},{6},{7},{8}}=>{{1},{2,3,4},{5},{6},{7},{8}}
[8,2,7,4,6,1,5,3]=>[1,5,2,7,3,4,6,8]=>{{1},{2,3,5},{4,6,7},{8}}=>{{1},{2,3,6,7},{4,5},{8}}
[8,1,7,4,6,2,5,3]=>[1,7,2,5,3,4,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[8,3,7,2,6,1,5,4]=>[1,5,2,6,3,7,4,8]=>{{1},{2,3,5},{4,6,7},{8}}=>{{1},{2,3,6,7},{4,5},{8}}
[8,6,7,2,5,1,4,3]=>[1,4,2,5,3,6,7,8]=>{{1},{2,3,4,5},{6},{7},{8}}=>{{1},{2,3,4,5},{6},{7},{8}}
[8,3,7,1,6,2,5,4]=>[1,6,2,5,3,7,4,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[1,6,2,4,8,3,5,7]=>[1,6,2,4,8,3,5,7]=>{{1},{2,3,6},{4},{5,7,8}}=>{{1},{2,3,7,8},{4},{5,6}}
[1,5,2,3,8,4,7,6]=>[1,5,2,3,8,4,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>{{1},{2,3,4,5,6,8},{7}}
[4,7,1,3,2,8,6,5]=>[1,3,2,8,4,7,5,6]=>{{1},{2,3},{4,5,6,7,8}}=>{{1},{2,3},{4,5,6,7,8}}
[3,4,6,1,5,8,2,7]=>[1,5,8,2,7,3,4,6]=>{{1},{2,4,5,7},{3,6,8}}=>{{1},{2,5,6,7},{3,4,8}}
[1,2,6,3,4,8,7,5]=>[1,2,6,3,4,8,5,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[2,7,6,3,4,5,8,1]=>[1,2,7,3,4,5,8,6]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[3,2,1,6,4,8,5,7]=>[1,6,2,3,4,8,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,7,3,8,2,4,6,1]=>[1,2,4,6,3,8,5,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[5,2,6,4,1,8,7,3]=>[1,8,2,6,3,4,5,7]=>{{1},{2,3,5,7,8},{4,6}}=>{{1},{2,3,7,8},{4,5,6}}
[1,5,7,4,8,6,3,2]=>[1,5,7,2,3,4,8,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,3,8,1,4,2,6,5]=>[1,4,2,6,3,8,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,8,7,4,2,6,1,5]=>[1,5,2,6,3,8,4,7]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[3,7,8,1,2,6,5,4]=>[1,2,6,3,7,8,4,5]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[7,3,5,2,1,8,4,6]=>[1,8,2,3,5,4,6,7]=>{{1},{2,3,4,6,7,8},{5}}=>{{1},{2,3,4,6,7,8},{5}}
[6,4,2,8,7,5,1,3]=>[1,3,2,8,4,5,6,7]=>{{1},{2,3},{4,5,6,7,8}}=>{{1},{2,3},{4,5,6,7,8}}
[5,4,8,7,1,6,3,2]=>[1,6,2,3,4,8,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,2,1,5,8,3,7,4]=>[1,5,8,2,3,7,4,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,5,3,2,8,1,7,4]=>[1,7,2,8,3,4,5,6]=>{{1},{2,3,5,7},{4,6,8}}=>{{1},{2,3,8},{4,5,6,7}}
[6,4,3,2,1,8,7,5]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,3,4,1,2,8,7,5]=>[1,2,8,3,4,5,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[4,3,6,1,5,2,7,8]=>[1,5,2,7,8,3,6,4]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,1,5,3,8,4,7,6]=>[1,5,2,3,8,4,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>{{1},{2,3,4,5,6,8},{7}}
[8,1,3,2,6,4,7,5]=>[1,3,2,6,4,7,5,8]=>{{1},{2,3},{4,5,6,7},{8}}=>{{1},{2,3},{4,5,6,7},{8}}
[3,1,8,2,6,4,7,5]=>[1,8,2,6,3,4,7,5]=>{{1},{2,3,5,8},{4,6},{7}}=>{{1},{2,3,8},{4,5,6},{7}}
[2,1,7,3,5,4,8,6]=>[1,7,2,3,5,4,8,6]=>{{1},{2,3,4,6,7,8},{5}}=>{{1},{2,3,4,6,7,8},{5}}
[7,1,3,2,5,4,8,6]=>[1,3,2,5,4,8,6,7]=>{{1},{2,3},{4,5},{6,7,8}}=>{{1},{2,3},{4,5},{6,7,8}}
[7,1,3,2,6,4,8,5]=>[1,3,2,6,4,8,5,7]=>{{1},{2,3},{4,5,6,7,8}}=>{{1},{2,3},{4,5,6,7,8}}
[6,1,4,2,5,3,8,7]=>[1,4,2,5,3,8,6,7]=>{{1},{2,3,4,5},{6,7,8}}=>{{1},{2,3,4,5},{6,7,8}}
[4,1,6,2,5,3,8,7]=>[1,6,2,5,3,8,4,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,1,7,2,6,3,8,5]=>[1,7,2,6,3,8,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,1,7,2,6,3,8,4]=>[1,7,2,6,3,8,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[8,1,5,2,6,3,7,4]=>[1,5,2,6,3,7,4,8]=>{{1},{2,3,5},{4,6,7},{8}}=>{{1},{2,3,6,7},{4,5},{8}}
[5,1,8,2,6,3,7,4]=>[1,8,2,6,3,7,4,5]=>{{1},{2,3,5,8},{4,6,7}}=>{{1},{2,3,7},{4,5,6,8}}
[5,1,6,2,8,3,7,4]=>[1,6,2,8,3,7,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,1,8,2,6,3,7,5]=>[1,8,2,6,3,7,4,5]=>{{1},{2,3,5,8},{4,6,7}}=>{{1},{2,3,7},{4,5,6,8}}
[8,1,4,2,6,3,7,5]=>[1,4,2,6,3,7,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[8,1,4,2,5,3,7,6]=>[1,4,2,5,3,7,6,8]=>{{1},{2,3,4,5},{6,7},{8}}=>{{1},{2,3,4,5},{6,7},{8}}
[4,1,8,2,5,3,7,6]=>[1,8,2,5,3,7,4,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,1,5,2,8,3,7,6]=>[1,5,2,8,3,7,4,6]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[3,1,5,2,8,4,7,6]=>[1,5,2,8,3,4,7,6]=>{{1},{2,3,5},{4,6,8},{7}}=>{{1},{2,3,6,8},{4,5},{7}}
[5,1,4,2,8,3,7,6]=>[1,4,2,8,3,7,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,1,3,2,8,4,7,5]=>[1,3,2,8,4,7,5,6]=>{{1},{2,3},{4,5,6,7,8}}=>{{1},{2,3},{4,5,6,7,8}}
[5,1,3,2,6,4,8,7]=>[1,3,2,6,4,8,5,7]=>{{1},{2,3},{4,5,6,7,8}}=>{{1},{2,3},{4,5,6,7,8}}
[5,1,4,2,6,3,8,7]=>[1,4,2,6,3,8,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,5,2,8,1,7,4,6]=>[1,7,2,8,3,5,4,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,5,4,6,8,1,7,3]=>[1,7,2,5,3,4,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[7,6,4,3,2,1,8,5]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,6,3,8,2,1,5,4]=>[1,5,2,3,8,4,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,4,8,3,2,1,6,5]=>[1,6,2,3,4,8,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,8,7,2,6,5,1,3]=>[1,3,2,6,4,8,5,7]=>{{1},{2,3},{4,5,6,7,8}}=>{{1},{2,3},{4,5,6,7,8}}
[6,7,4,2,8,3,1,5]=>[1,5,2,8,3,4,6,7]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[2,3,4,8,1,6,5,7]=>[1,6,2,3,4,8,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[1,2,5,8,3,7,4,6]=>[1,2,5,8,3,7,4,6]=>{{1},{2},{3,5},{4,6,7,8}}=>{{1},{2},{3,6,7,8},{4,5}}
[2,1,8,6,7,3,5,4]=>[1,8,2,3,5,4,6,7]=>{{1},{2,3,4,6,7,8},{5}}=>{{1},{2,3,4,6,7,8},{5}}
[1,5,2,8,6,3,7,4]=>[1,5,2,8,3,7,4,6]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[2,1,7,8,6,3,4,5]=>[1,7,8,2,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,2,6,3,4,1,8,7]=>[1,8,2,6,3,4,5,7]=>{{1},{2,3,5,7,8},{4,6}}=>{{1},{2,3,7,8},{4,5,6}}
[2,1,6,3,4,8,7,5]=>[1,6,2,3,4,8,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[8,1,4,2,5,6,7,3]=>[1,4,2,5,6,7,3,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[5,1,6,2,8,7,4,3]=>[1,6,2,8,3,4,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,5,6,1,8,7,2,3]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,1,8,5,7,3,6,2]=>[1,8,2,3,6,4,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,4,8,7,1,2,6,5]=>[1,2,6,3,4,8,5,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[7,4,2,6,3,5,1,8]=>[1,8,2,6,3,5,4,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,6,8,4,1,7,5,2]=>[1,7,2,3,6,8,4,5]=>{{1},{2,3,4,7},{5,6,8}}=>{{1},{2,3,4,6,7},{5,8}}
[1,8,6,7,2,3,4,5]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,8,3,4,1,5,2,7]=>[1,5,2,7,3,4,6,8]=>{{1},{2,3,5},{4,6,7},{8}}=>{{1},{2,3,6,7},{4,5},{8}}
[7,5,1,2,8,6,3,4]=>[1,2,8,3,4,5,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[3,1,8,2,7,6,4,5]=>[1,8,2,7,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,3,8,7,1,2,5,6]=>[1,2,5,6,3,8,4,7]=>{{1},{2},{3,5},{4,6,7,8}}=>{{1},{2},{3,6,7,8},{4,5}}
[3,5,1,7,2,8,6,4]=>[1,7,2,8,3,5,4,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,8,7,3,6,5,1,2]=>[1,2,3,6,4,8,5,7]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[4,3,8,7,6,5,1,2]=>[1,2,3,8,4,5,6,7]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[4,1,8,7,6,5,3,2]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,2,8,1,7,6,5,4]=>[1,7,2,8,3,4,5,6]=>{{1},{2,3,5,7},{4,6,8}}=>{{1},{2,3,8},{4,5,6,7}}
[3,8,2,7,1,6,5,4]=>[1,6,2,7,3,8,4,5]=>{{1},{2,3,5,6,8},{4,7}}=>{{1},{2,3,6,7},{4,5,8}}
[4,3,1,8,7,6,5,2]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,2,1,8,7,6,5,3]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,3,8,2,1,4,5,7]=>[1,4,5,7,2,3,8,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,4,6,8,7,5,1,2]=>[1,2,3,4,6,8,5,7]=>{{1},{2},{3},{4},{5,6,7,8}}=>{{1},{2},{3},{4},{5,6,7,8}}
[1,8,5,2,6,3,7,4]=>[1,8,2,6,3,7,4,5]=>{{1},{2,3,5,8},{4,6,7}}=>{{1},{2,3,7},{4,5,6,8}}
[7,5,2,8,3,4,1,6]=>[1,6,2,8,3,4,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,6,1,3,8,5,7,4]=>[1,3,8,2,6,4,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,1,8,3,6,5,7,2]=>[1,8,2,3,6,4,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[8,7,6,5,1,4,3,2]=>[1,4,2,3,5,6,7,8]=>{{1},{2,3,4},{5},{6},{7},{8}}=>{{1},{2,3,4},{5},{6},{7},{8}}
[2,8,5,6,1,7,3,4]=>[1,7,2,8,3,4,5,6]=>{{1},{2,3,5,7},{4,6,8}}=>{{1},{2,3,8},{4,5,6,7}}
[5,4,2,8,6,1,7,3]=>[1,7,2,8,3,4,5,6]=>{{1},{2,3,5,7},{4,6,8}}=>{{1},{2,3,8},{4,5,6,7}}
[5,4,2,3,8,1,6,7]=>[1,6,7,2,3,8,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,3,7,4,5,8,2,1]=>[1,2,3,7,4,5,8,6]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[3,6,4,1,2,8,7,5]=>[1,2,8,3,6,4,5,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[5,7,1,3,8,2,6,4]=>[1,3,8,2,6,4,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,7,1,8,3,2,5,4]=>[1,8,2,5,3,4,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,7,3,5,2,1,6,8]=>[1,6,8,2,3,5,4,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,6,2,7,3,1,8,4]=>[1,8,2,7,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,5,3,4,8,7,1,2]=>[1,2,3,4,8,5,6,7]=>{{1},{2},{3},{4},{5,6,7,8}}=>{{1},{2},{3},{4},{5,6,7,8}}
[5,4,8,1,2,7,3,6]=>[1,2,7,3,6,4,8,5]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[7,2,8,6,1,3,4,5]=>[1,3,4,5,2,8,6,7]=>{{1},{2,3,4,5},{6,7,8}}=>{{1},{2,3,4,5},{6,7,8}}
[3,2,1,8,7,5,6,4]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,1,6,2,5,8,4,7]=>[1,6,2,5,8,3,4,7]=>{{1},{2,3,6},{4,5,7,8}}=>{{1},{2,3,5,6},{4,7,8}}
[7,5,1,2,6,8,4,3]=>[1,2,6,8,3,4,5,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[1,2,5,3,8,7,6,4]=>[1,2,5,3,8,4,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[4,8,1,2,7,3,6,5]=>[1,2,7,3,6,4,8,5]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[5,2,7,4,8,1,6,3]=>[1,6,2,7,3,4,8,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,4,2,5,8,3,1,6]=>[1,6,2,5,8,3,4,7]=>{{1},{2,3,6},{4,5,7,8}}=>{{1},{2,3,5,6},{4,7,8}}
[5,6,8,1,4,3,2,7]=>[1,4,2,7,3,5,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[3,5,1,8,7,2,6,4]=>[1,8,2,6,3,5,4,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,6,4,2,3,8,1,5]=>[1,5,2,3,8,4,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,1,2,4,8,7,6,5]=>[1,2,4,8,3,5,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[5,6,7,8,1,4,2,3]=>[1,4,2,3,5,6,7,8]=>{{1},{2,3,4},{5},{6},{7},{8}}=>{{1},{2,3,4},{5},{6},{7},{8}}
[3,2,6,7,4,8,1,5]=>[1,5,2,6,7,3,4,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[5,8,6,7,1,2,3,4]=>[1,2,3,4,5,8,6,7]=>{{1},{2},{3},{4},{5},{6,7,8}}=>{{1},{2},{3},{4},{5},{6,7,8}}
[5,3,2,7,1,6,8,4]=>[1,6,8,2,7,3,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,7,2,8,5,3,1,4]=>[1,4,2,8,3,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,7,2,8,3,1,5,4]=>[1,5,2,8,3,4,6,7]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[7,4,6,1,8,2,3,5]=>[1,8,2,3,5,4,6,7]=>{{1},{2,3,4,6,7,8},{5}}=>{{1},{2,3,4,6,7,8},{5}}
[7,5,8,6,3,4,2,1]=>[1,2,3,4,5,8,6,7]=>{{1},{2},{3},{4},{5},{6,7,8}}=>{{1},{2},{3},{4},{5},{6,7,8}}
[1,5,2,6,3,8,7,4]=>[1,5,2,6,3,8,4,7]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[6,4,2,8,3,1,5,7]=>[1,5,7,2,8,3,4,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,4,1,8,3,2,7,5]=>[1,8,2,7,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,6,8,1,3,7,5,4]=>[1,3,7,2,6,8,4,5]=>{{1},{2,3,4,7},{5,6,8}}=>{{1},{2,3,4,6,7},{5,8}}
[6,2,8,3,1,7,5,4]=>[1,7,2,8,3,4,5,6]=>{{1},{2,3,5,7},{4,6,8}}=>{{1},{2,3,8},{4,5,6,7}}
[4,2,6,8,5,1,3,7]=>[1,3,7,2,6,8,4,5]=>{{1},{2,3,4,7},{5,6,8}}=>{{1},{2,3,4,6,7},{5,8}}
[5,6,2,8,3,4,1,7]=>[1,7,2,8,3,4,5,6]=>{{1},{2,3,5,7},{4,6,8}}=>{{1},{2,3,8},{4,5,6,7}}
[7,5,8,3,6,2,4,1]=>[1,2,4,3,6,5,8,7]=>{{1},{2},{3,4},{5,6},{7,8}}=>{{1},{2},{3,4},{5,6},{7,8}}
[6,5,4,2,8,7,1,3]=>[1,3,2,8,4,5,6,7]=>{{1},{2,3},{4,5,6,7,8}}=>{{1},{2,3},{4,5,6,7,8}}
[4,7,5,1,2,8,3,6]=>[1,2,8,3,6,4,7,5]=>{{1},{2},{3,4,5,6,8},{7}}=>{{1},{2},{3,4,5,6,8},{7}}
[3,7,2,8,4,6,1,5]=>[1,5,2,8,3,7,4,6]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[2,6,4,3,8,7,1,5]=>[1,5,2,6,3,8,4,7]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[6,4,5,7,1,3,8,2]=>[1,3,8,2,4,5,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>{{1},{2,3,4,5,6,8},{7}}
[4,1,6,2,8,5,7,3]=>[1,6,2,8,3,4,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,4,2,1,3,8,7,5]=>[1,3,8,2,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,1,8,7,2,6,5,3]=>[1,8,2,6,3,4,5,7]=>{{1},{2,3,5,7,8},{4,6}}=>{{1},{2,3,7,8},{4,5,6}}
[1,6,8,4,7,2,5,3]=>[1,6,8,2,5,3,4,7]=>{{1},{2,3,4,6,7,8},{5}}=>{{1},{2,3,4,6,7,8},{5}}
[2,5,8,1,7,6,4,3]=>[1,7,2,5,8,3,4,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,1,8,4,7,2,6,5]=>[1,8,2,6,3,4,7,5]=>{{1},{2,3,5,8},{4,6},{7}}=>{{1},{2,3,8},{4,5,6},{7}}
[1,6,5,8,2,7,4,3]=>[1,6,2,7,3,4,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[6,3,1,7,8,2,4,5]=>[1,7,8,2,4,5,3,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,4,3,7,2,5,8,1]=>[1,2,5,8,3,7,4,6]=>{{1},{2},{3,5},{4,6,7,8}}=>{{1},{2},{3,6,7,8},{4,5}}
[6,4,3,7,2,8,1,5]=>[1,5,2,8,3,7,4,6]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[6,7,4,2,1,8,3,5]=>[1,8,2,3,5,4,6,7]=>{{1},{2,3,4,6,7,8},{5}}=>{{1},{2,3,4,6,7,8},{5}}
[7,5,3,2,6,1,8,4]=>[1,8,2,6,3,4,5,7]=>{{1},{2,3,5,7,8},{4,6}}=>{{1},{2,3,7,8},{4,5,6}}
[7,3,5,1,8,6,4,2]=>[1,8,2,3,5,4,6,7]=>{{1},{2,3,4,6,7,8},{5}}=>{{1},{2,3,4,6,7,8},{5}}
[4,6,3,5,1,2,8,7]=>[1,2,8,3,5,4,6,7]=>{{1},{2},{3,4,6,7,8},{5}}=>{{1},{2},{3,4,6,7,8},{5}}
[2,1,6,5,3,4,8,7]=>[1,6,2,3,4,8,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[8,7,6,1,3,2,4,5]=>[1,3,2,4,5,6,7,8]=>{{1},{2,3},{4},{5},{6},{7},{8}}=>{{1},{2,3},{4},{5},{6},{7},{8}}
[2,1,4,5,8,3,7,6]=>[1,4,5,8,2,3,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>{{1},{2,3,4,5,6,8},{7}}
[2,4,8,3,5,6,7,1]=>[1,2,4,8,3,5,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[2,1,4,3,8,7,5,6]=>[1,4,2,3,8,5,6,7]=>{{1},{2,3,4},{5,6,7,8}}=>{{1},{2,3,4},{5,6,7,8}}
[5,1,6,7,8,4,3,2]=>[1,6,7,8,2,3,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,7,3,8,5,6,1,2]=>[1,2,3,8,4,7,5,6]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[4,7,1,2,8,3,6,5]=>[1,2,8,3,6,4,7,5]=>{{1},{2},{3,4,5,6,8},{7}}=>{{1},{2},{3,4,5,6,8},{7}}
[3,4,1,8,5,6,7,2]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,5,3,8,7,4,6,1]=>[1,2,5,3,8,4,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[2,7,6,4,5,8,3,1]=>[1,2,7,3,4,5,8,6]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[5,6,1,2,4,3,8,7]=>[1,2,4,3,8,5,6,7]=>{{1},{2},{3,4},{5,6,7,8}}=>{{1},{2},{3,4},{5,6,7,8}}
[5,6,3,2,1,8,7,4]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,5,3,2,7,1,8,6]=>[1,8,2,7,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,6,3,5,2,1,8,7]=>[1,8,2,3,5,4,6,7]=>{{1},{2,3,4,6,7,8},{5}}=>{{1},{2,3,4,6,7,8},{5}}
[7,4,1,2,8,6,3,5]=>[1,2,8,3,5,4,6,7]=>{{1},{2},{3,4,6,7,8},{5}}=>{{1},{2},{3,4,6,7,8},{5}}
[4,8,2,6,5,7,1,3]=>[1,3,2,6,4,8,5,7]=>{{1},{2,3},{4,5,6,7,8}}=>{{1},{2,3},{4,5,6,7,8}}
[1,8,5,6,2,7,3,4]=>[1,8,2,7,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,7,1,6,2,8,3,4]=>[1,6,2,8,3,4,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,5,1,8,6,7,3,4]=>[1,8,2,5,3,4,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,7,1,6,2,8,4,5]=>[1,6,2,8,3,7,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,7,2,1,4,5,8,6]=>[1,4,5,8,2,3,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>{{1},{2,3,4,5,6,8},{7}}
[2,8,6,7,4,3,1,5]=>[1,5,2,8,3,4,6,7]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[2,6,8,4,7,1,5,3]=>[1,5,2,6,8,3,4,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,5,1,6,4,2,8,7]=>[1,6,2,8,3,5,4,7]=>{{1},{2,3,5,6},{4,7,8}}=>{{1},{2,3,6},{4,5,7,8}}
[5,7,1,3,8,6,2,4]=>[1,3,8,2,4,5,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>{{1},{2,3,4,5,6,8},{7}}
[6,8,2,5,1,7,3,4]=>[1,7,2,5,3,4,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[4,1,2,3,7,8,6,5]=>[1,2,3,7,8,4,5,6]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[3,4,2,1,8,5,6,7]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,3,6,1,2,8,7,5]=>[1,2,8,3,6,4,5,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[6,1,3,5,4,8,7,2]=>[1,3,5,2,4,8,6,7]=>{{1},{2,3,4,5},{6,7,8}}=>{{1},{2,3,4,5},{6,7,8}}
[5,3,2,8,7,1,4,6]=>[1,4,6,2,8,3,5,7]=>{{1},{2,4},{3,6},{5,7,8}}=>{{1},{2,7,8},{3,4},{5,6}}
[4,2,1,7,5,3,6,8]=>[1,7,2,3,6,8,4,5]=>{{1},{2,3,4,7},{5,6,8}}=>{{1},{2,3,4,6,7},{5,8}}
[4,3,1,8,5,6,7,2]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,3,5,1,4,2,8,7]=>[1,4,2,8,3,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,6,3,1,5,2,7,8]=>[1,5,2,7,8,3,4,6]=>{{1},{2,3,5,6,8},{4,7}}=>{{1},{2,3,6,7},{4,5,8}}
[5,7,3,4,1,6,2,8]=>[1,6,2,8,3,4,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[1,7,3,8,5,6,2,4]=>[1,7,2,4,3,8,5,6]=>{{1},{2,3,5,7},{4},{6,8}}=>{{1},{2,3,5,8},{4},{6,7}}
[4,2,6,1,5,3,7,8]=>[1,5,2,6,3,7,8,4]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[4,6,7,2,8,3,1,5]=>[1,5,2,8,3,4,6,7]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[4,5,6,7,3,1,8,2]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,8,7,6,1,2,3,4]=>[1,2,3,4,5,8,6,7]=>{{1},{2},{3},{4},{5},{6,7,8}}=>{{1},{2},{3},{4},{5},{6,7,8}}
[3,1,6,2,4,8,7,5]=>[1,6,2,4,8,3,5,7]=>{{1},{2,3,6},{4},{5,7,8}}=>{{1},{2,3,7,8},{4},{5,6}}
[6,4,8,3,5,7,1,2]=>[1,2,3,5,7,4,8,6]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[6,5,7,3,1,8,4,2]=>[1,8,2,3,4,5,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>{{1},{2,3,4,5,6,8},{7}}
[3,5,6,2,4,8,7,1]=>[1,2,4,8,3,5,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[6,1,2,8,7,4,3,5]=>[1,2,8,3,5,4,6,7]=>{{1},{2},{3,4,6,7,8},{5}}=>{{1},{2},{3,4,6,7,8},{5}}
[5,7,2,1,8,3,6,4]=>[1,8,2,3,6,4,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[8,7,6,5,1,3,2,4]=>[1,3,2,4,5,6,7,8]=>{{1},{2,3},{4},{5},{6},{7},{8}}=>{{1},{2,3},{4},{5},{6},{7},{8}}
[4,3,8,7,6,1,5,2]=>[1,5,2,3,8,4,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[1,6,3,8,5,2,4,7]=>[1,6,2,4,7,3,8,5]=>{{1},{2,3,6},{4},{5,7,8}}=>{{1},{2,3,7,8},{4},{5,6}}
[6,2,5,1,7,4,8,3]=>[1,7,2,5,3,4,8,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,4,1,2,7,8,6,5]=>[1,2,7,8,3,4,5,6]=>{{1},{2},{3,5,7},{4,6,8}}=>{{1},{2},{3,8},{4,5,6,7}}
[4,1,3,2,8,6,7,5]=>[1,3,2,8,4,5,6,7]=>{{1},{2,3},{4,5,6,7,8}}=>{{1},{2,3},{4,5,6,7,8}}
[6,4,1,2,8,7,3,5]=>[1,2,8,3,5,4,6,7]=>{{1},{2},{3,4,6,7,8},{5}}=>{{1},{2},{3,4,6,7,8},{5}}
[4,3,8,5,2,1,6,7]=>[1,6,7,2,3,8,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,6,3,1,8,2,7,4]=>[1,8,2,7,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,5,4,3,1,2,8,7]=>[1,2,8,3,4,5,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[5,6,2,8,1,7,4,3]=>[1,7,2,8,3,4,5,6]=>{{1},{2,3,5,7},{4,6,8}}=>{{1},{2,3,8},{4,5,6,7}}
[2,1,4,5,8,6,3,7]=>[1,4,5,8,2,3,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>{{1},{2,3,4,5,6,8},{7}}
[2,4,1,6,8,5,3,7]=>[1,6,8,2,4,3,7,5]=>{{1},{2,3,4,5,6,8},{7}}=>{{1},{2,3,4,5,6,8},{7}}
[2,1,8,7,6,4,3,5]=>[1,8,2,3,5,4,6,7]=>{{1},{2,3,4,6,7,8},{5}}=>{{1},{2,3,4,6,7,8},{5}}
[6,8,3,5,4,7,1,2]=>[1,2,3,5,4,7,6,8]=>{{1},{2},{3},{4,5},{6,7},{8}}=>{{1},{2},{3},{4,5},{6,7},{8}}
[3,1,5,4,2,8,6,7]=>[1,5,2,8,3,4,6,7]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[4,3,2,1,8,5,7,6]=>[1,8,2,3,4,5,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>{{1},{2,3,4,5,6,8},{7}}
[7,3,1,6,5,4,2,8]=>[1,6,2,8,3,4,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,6,7,2,8,1,3,5]=>[1,3,5,2,8,4,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,2,8,7,6,5,3,1]=>[1,2,8,3,4,5,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[1,6,4,2,8,7,3,5]=>[1,6,2,8,3,5,4,7]=>{{1},{2,3,5,6},{4,7,8}}=>{{1},{2,3,6},{4,5,7,8}}
[4,2,7,8,1,3,6,5]=>[1,3,6,2,7,8,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,1,8,7,6,3,5,4]=>[1,8,2,3,5,4,6,7]=>{{1},{2,3,4,6,7,8},{5}}=>{{1},{2,3,4,6,7,8},{5}}
[5,4,1,6,3,2,8,7]=>[1,6,2,8,3,4,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,1,7,2,8,6,4,3]=>[1,7,2,8,3,4,5,6]=>{{1},{2,3,5,7},{4,6,8}}=>{{1},{2,3,8},{4,5,6,7}}
[5,8,3,1,6,2,7,4]=>[1,6,2,7,3,4,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[6,8,4,7,1,5,3,2]=>[1,5,2,3,4,7,6,8]=>{{1},{2,3,4,5},{6,7},{8}}=>{{1},{2,3,4,5},{6,7},{8}}
[2,4,1,3,8,7,6,5]=>[1,3,8,2,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,5,3,1,7,2,8,4]=>[1,7,2,8,3,4,5,6]=>{{1},{2,3,5,7},{4,6,8}}=>{{1},{2,3,8},{4,5,6,7}}
[2,3,8,5,4,1,6,7]=>[1,6,7,2,3,8,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,6,3,1,2,4,8,7]=>[1,2,4,8,3,5,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[5,7,3,6,2,8,4,1]=>[1,2,8,3,6,4,5,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[4,8,7,3,6,5,2,1]=>[1,2,3,6,4,8,5,7]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[4,2,8,6,1,7,3,5]=>[1,7,2,8,3,5,4,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[8,1,3,2,6,5,4,7]=>[1,3,2,6,4,7,5,8]=>{{1},{2,3},{4,5,6,7},{8}}=>{{1},{2,3},{4,5,6,7},{8}}
[3,5,2,7,4,6,1,8]=>[1,8,2,7,3,5,4,6]=>{{1},{2,3,5,6,8},{4,7}}=>{{1},{2,3,6,7},{4,5,8}}
[3,2,7,5,4,1,6,8]=>[1,6,8,2,7,3,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,5,7,2,4,1,6,8]=>[1,6,8,2,4,3,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,2,5,1,7,4,6,8]=>[1,7,2,5,3,4,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[6,3,5,4,8,2,7,1]=>[1,2,7,3,5,4,8,6]=>{{1},{2},{3,4,6,7,8},{5}}=>{{1},{2},{3,4,6,7,8},{5}}
[1,2,7,4,8,5,3,6]=>[1,2,7,3,6,4,8,5]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[3,8,4,7,6,1,5,2]=>[1,5,2,3,8,4,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>{{1},{2,3,4,5,6,8},{7}}
[5,1,8,6,2,7,3,4]=>[1,8,2,7,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,6,2,7,8,1,5,4]=>[1,5,2,7,8,3,6,4]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,2,1,6,4,7,8,5]=>[1,6,2,3,4,7,8,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,7,6,5,8,3,1,4]=>[1,4,2,7,3,5,8,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,2,7,1,6,8,4,5]=>[1,6,8,2,7,3,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[8,2,5,3,7,1,6,4]=>[1,6,2,5,3,7,4,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[2,7,6,8,4,3,1,5]=>[1,5,2,7,3,4,6,8]=>{{1},{2,3,5},{4,6,7},{8}}=>{{1},{2,3,6,7},{4,5},{8}}
[3,1,7,4,5,2,8,6]=>[1,7,2,8,3,4,5,6]=>{{1},{2,3,5,7},{4,6,8}}=>{{1},{2,3,8},{4,5,6,7}}
[4,3,7,2,6,8,1,5]=>[1,5,2,6,8,3,7,4]=>{{1},{2,3,4,5,6,8},{7}}=>{{1},{2,3,4,5,6,8},{7}}
[8,7,6,5,1,3,4,2]=>[1,3,4,2,5,6,7,8]=>{{1},{2,3,4},{5},{6},{7},{8}}=>{{1},{2,3,4},{5},{6},{7},{8}}
[6,7,8,1,5,4,3,2]=>[1,5,2,3,4,6,7,8]=>{{1},{2,3,4,5},{6},{7},{8}}=>{{1},{2,3,4,5},{6},{7},{8}}
[2,1,8,7,6,3,4,5]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,8,7,6,4,2,3,1]=>[1,2,3,4,5,8,6,7]=>{{1},{2},{3},{4},{5},{6,7,8}}=>{{1},{2},{3},{4},{5},{6,7,8}}
[2,4,1,7,3,8,6,5]=>[1,7,2,4,3,8,5,6]=>{{1},{2,3,5,7},{4},{6,8}}=>{{1},{2,3,5,8},{4},{6,7}}
[4,1,2,3,7,6,5,8]=>[1,2,3,7,4,5,8,6]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[6,8,4,2,7,1,5,3]=>[1,5,2,7,3,4,6,8]=>{{1},{2,3,5},{4,6,7},{8}}=>{{1},{2,3,6,7},{4,5},{8}}
[6,4,2,8,7,5,3,1]=>[1,2,8,3,4,5,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[6,8,1,7,3,2,5,4]=>[1,7,2,5,3,4,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[4,8,5,7,1,2,6,3]=>[1,2,6,3,4,8,5,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[2,8,1,3,7,6,5,4]=>[1,3,7,2,8,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,4,5,8,7,6,1,2]=>[1,2,3,4,5,8,6,7]=>{{1},{2},{3},{4},{5},{6,7,8}}=>{{1},{2},{3},{4},{5},{6,7,8}}
[6,4,7,8,2,5,1,3]=>[1,3,2,5,4,7,8,6]=>{{1},{2,3},{4,5},{6,7,8}}=>{{1},{2,3},{4,5},{6,7,8}}
[7,1,8,2,3,6,5,4]=>[1,8,2,3,6,4,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,1,8,4,2,6,5,3]=>[1,8,2,6,3,4,5,7]=>{{1},{2,3,5,7,8},{4,6}}=>{{1},{2,3,7,8},{4,5,6}}
[3,4,1,8,7,6,5,2]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,1,2,3,5,8,7,4]=>[1,2,3,5,8,4,6,7]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[7,1,2,3,5,8,6,4]=>[1,2,3,5,8,4,6,7]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[5,2,8,6,7,3,4,1]=>[1,2,8,3,4,5,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[7,3,5,6,8,4,1,2]=>[1,2,3,5,6,8,4,7]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[7,5,8,6,1,2,3,4]=>[1,2,3,4,5,8,6,7]=>{{1},{2},{3},{4},{5},{6,7,8}}=>{{1},{2},{3},{4},{5},{6,7,8}}
[7,4,8,5,6,2,3,1]=>[1,2,3,4,8,5,6,7]=>{{1},{2},{3},{4},{5,6,7,8}}=>{{1},{2},{3},{4},{5,6,7,8}}
[4,8,2,5,1,3,7,6]=>[1,3,7,2,5,4,8,6]=>{{1},{2,3,4,6,7,8},{5}}=>{{1},{2,3,4,6,7,8},{5}}
[1,5,6,7,8,3,4,2]=>[1,5,6,7,8,2,3,4]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,1,2,3,8,7,6,4]=>[1,2,3,8,4,5,6,7]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[5,1,2,3,8,6,7,4]=>[1,2,3,8,4,5,6,7]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[3,5,1,7,4,8,6,2]=>[1,7,2,3,5,4,8,6]=>{{1},{2,3,4,6,7,8},{5}}=>{{1},{2,3,4,6,7,8},{5}}
[5,6,7,8,4,1,3,2]=>[1,3,2,4,5,6,7,8]=>{{1},{2,3},{4},{5},{6},{7},{8}}=>{{1},{2,3},{4},{5},{6},{7},{8}}
[2,5,8,6,1,7,3,4]=>[1,7,2,5,8,3,4,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,4,5,1,8,2,7,6]=>[1,8,2,7,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[8,7,6,2,1,4,3,5]=>[1,4,2,3,5,6,7,8]=>{{1},{2,3,4},{5},{6},{7},{8}}=>{{1},{2,3,4},{5},{6},{7},{8}}
[4,8,7,2,1,6,5,3]=>[1,6,2,3,4,8,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,1,5,8,3,7,4,6]=>[1,5,8,2,3,7,4,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,4,1,2,8,7,5,6]=>[1,2,8,3,4,5,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[5,1,2,3,8,4,7,6]=>[1,2,3,8,4,7,5,6]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[4,1,2,3,8,7,5,6]=>[1,2,3,8,4,5,6,7]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[7,4,1,6,8,2,3,5]=>[1,6,8,2,3,5,4,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,1,5,2,8,6,7,4]=>[1,5,2,8,3,4,6,7]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[6,7,8,2,1,5,4,3]=>[1,5,2,3,4,6,7,8]=>{{1},{2,3,4,5},{6},{7},{8}}=>{{1},{2,3,4,5},{6},{7},{8}}
[7,2,4,5,8,3,6,1]=>[1,2,4,5,8,3,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[8,1,4,3,2,5,6,7]=>[1,4,2,5,6,7,3,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[6,7,8,5,2,4,1,3]=>[1,3,2,4,5,6,7,8]=>{{1},{2,3},{4},{5},{6},{7},{8}}=>{{1},{2,3},{4},{5},{6},{7},{8}}
[3,4,6,2,7,1,5,8]=>[1,5,8,2,7,3,4,6]=>{{1},{2,4,5,7},{3,6,8}}=>{{1},{2,5,6,7},{3,4,8}}
[3,7,2,8,5,6,1,4]=>[1,4,2,8,3,7,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,1,7,3,5,6,8,2]=>[1,7,2,3,5,6,8,4]=>{{1},{2,3,4,7,8},{5},{6}}=>{{1},{2,3,4,7,8},{5},{6}}
[6,7,4,1,8,2,3,5]=>[1,8,2,3,5,4,6,7]=>{{1},{2,3,4,6,7,8},{5}}=>{{1},{2,3,4,6,7,8},{5}}
[6,7,8,1,4,2,5,3]=>[1,4,2,5,3,6,7,8]=>{{1},{2,3,4,5},{6},{7},{8}}=>{{1},{2,3,4,5},{6},{7},{8}}
[2,3,4,8,1,5,7,6]=>[1,5,7,2,3,4,8,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,7,1,6,2,8,4,3]=>[1,6,2,8,3,4,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,8,1,3,5,6,7,2]=>[1,3,5,6,7,2,4,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[8,1,2,3,7,5,6,4]=>[1,2,3,7,4,5,6,8]=>{{1},{2},{3},{4,5,6,7},{8}}=>{{1},{2},{3},{4,5,6,7},{8}}
[1,5,6,7,8,3,2,4]=>[1,5,6,7,8,2,4,3]=>{{1},{2,3,5,6,8},{4,7}}=>{{1},{2,3,6,7},{4,5,8}}
[4,7,2,8,5,6,1,3]=>[1,3,2,8,4,7,5,6]=>{{1},{2,3},{4,5,6,7,8}}=>{{1},{2,3},{4,5,6,7,8}}
[4,1,8,2,5,6,7,3]=>[1,8,2,5,6,7,3,4]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,4,7,1,2,8,3,6]=>[1,2,8,3,6,4,7,5]=>{{1},{2},{3,4,5,6,8},{7}}=>{{1},{2},{3,4,5,6,8},{7}}
[8,4,7,1,3,2,6,5]=>[1,3,2,6,4,7,5,8]=>{{1},{2,3},{4,5,6,7},{8}}=>{{1},{2,3},{4,5,6,7},{8}}
[3,7,1,4,2,8,6,5]=>[1,4,2,8,3,7,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,8,3,4,1,6,2,7]=>[1,6,2,7,3,4,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[4,2,1,3,8,5,6,7]=>[1,3,8,2,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[1,8,7,6,3,4,5,2]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[1,8,7,6,2,3,4,5]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,5,1,2,3,8,4,7]=>[1,2,3,8,4,7,5,6]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[7,6,4,1,8,2,3,5]=>[1,8,2,3,5,4,6,7]=>{{1},{2,3,4,6,7,8},{5}}=>{{1},{2,3,4,6,7,8},{5}}
[3,1,8,2,5,6,7,4]=>[1,8,2,5,6,7,3,4]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,5,3,8,7,2,1,4]=>[1,4,2,3,8,5,6,7]=>{{1},{2,3,4},{5,6,7,8}}=>{{1},{2,3,4},{5,6,7,8}}
[6,7,3,8,1,5,2,4]=>[1,5,2,4,3,8,6,7]=>{{1},{2,3,5},{4},{6,7,8}}=>{{1},{2,3,5},{4},{6,7,8}}
[6,7,3,4,1,5,2,8]=>[1,5,2,8,3,4,6,7]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[6,7,8,1,5,4,2,3]=>[1,5,2,3,4,6,7,8]=>{{1},{2,3,4,5},{6},{7},{8}}=>{{1},{2,3,4,5},{6},{7},{8}}
[4,5,6,7,1,3,2,8]=>[1,3,2,8,4,5,6,7]=>{{1},{2,3},{4,5,6,7,8}}=>{{1},{2,3},{4,5,6,7,8}}
[7,2,8,4,1,6,5,3]=>[1,6,2,8,3,4,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,6,7,3,8,1,2,5]=>[1,2,5,3,8,4,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[4,6,7,8,1,5,3,2]=>[1,5,2,3,4,6,7,8]=>{{1},{2,3,4,5},{6},{7},{8}}=>{{1},{2,3,4,5},{6},{7},{8}}
[3,2,1,8,7,4,5,6]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,6,1,7,8,4,2,5]=>[1,7,8,2,5,3,6,4]=>{{1},{2,3,4,6,7,8},{5}}=>{{1},{2,3,4,6,7,8},{5}}
[4,5,7,2,1,8,3,6]=>[1,8,2,3,6,4,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,1,2,7,8,6,4,3]=>[1,2,7,8,3,4,5,6]=>{{1},{2},{3,5,7},{4,6,8}}=>{{1},{2},{3,8},{4,5,6,7}}
[4,1,8,7,2,6,3,5]=>[1,8,2,6,3,5,4,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,1,8,2,7,6,3,4]=>[1,8,2,7,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,5,2,8,7,1,6,3]=>[1,6,2,8,3,4,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,5,8,6,7,3,1,4]=>[1,4,2,5,8,3,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,3,4,1,8,7,5,6]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,2,6,5,1,8,7,3]=>[1,8,2,6,3,4,5,7]=>{{1},{2,3,5,7,8},{4,6}}=>{{1},{2,3,7,8},{4,5,6}}
[6,5,4,1,3,2,8,7]=>[1,3,2,8,4,5,6,7]=>{{1},{2,3},{4,5,6,7,8}}=>{{1},{2,3},{4,5,6,7,8}}
[6,5,4,2,1,3,8,7]=>[1,3,8,2,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[8,6,7,3,4,1,5,2]=>[1,5,2,3,4,6,7,8]=>{{1},{2,3,4,5},{6},{7},{8}}=>{{1},{2,3,4,5},{6},{7},{8}}
[8,3,2,7,6,4,1,5]=>[1,5,2,7,3,4,6,8]=>{{1},{2,3,5},{4,6,7},{8}}=>{{1},{2,3,6,7},{4,5},{8}}
[6,8,2,7,3,4,1,5]=>[1,5,2,7,3,4,6,8]=>{{1},{2,3,5},{4,6,7},{8}}=>{{1},{2,3,6,7},{4,5},{8}}
[1,3,2,6,5,8,4,7]=>[1,3,2,6,4,7,5,8]=>{{1},{2,3},{4,5,6,7},{8}}=>{{1},{2,3},{4,5,6,7},{8}}
[2,3,4,8,7,5,6,1]=>[1,2,3,4,8,5,6,7]=>{{1},{2},{3},{4},{5,6,7,8}}=>{{1},{2},{3},{4},{5,6,7,8}}
[1,8,5,6,7,3,4,2]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,4,8,7,6,1,5,2]=>[1,5,2,3,4,8,6,7]=>{{1},{2,3,4,5},{6,7,8}}=>{{1},{2,3,4,5},{6,7,8}}
[6,3,1,5,4,2,8,7]=>[1,5,2,8,3,4,6,7]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[3,5,4,2,8,6,1,7]=>[1,7,2,8,3,5,4,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,2,6,3,8,1,5,4]=>[1,5,2,6,3,8,4,7]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[6,1,2,5,4,3,8,7]=>[1,2,5,3,8,4,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[8,1,2,3,6,5,4,7]=>[1,2,3,6,4,7,5,8]=>{{1},{2},{3},{4,5,6,7},{8}}=>{{1},{2},{3},{4,5,6,7},{8}}
[8,1,2,3,7,6,5,4]=>[1,2,3,7,4,5,6,8]=>{{1},{2},{3},{4,5,6,7},{8}}=>{{1},{2},{3},{4,5,6,7},{8}}
[4,8,5,2,7,1,6,3]=>[1,6,2,7,3,4,8,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,7,3,2,1,6,4,8]=>[1,6,2,3,4,8,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,2,8,1,4,3,7,6]=>[1,4,2,8,3,7,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,4,7,8,3,5,2,1]=>[1,2,3,5,4,7,8,6]=>{{1},{2},{3},{4,5},{6,7,8}}=>{{1},{2},{3},{4,5},{6,7,8}}
[6,3,5,2,7,4,8,1]=>[1,2,7,3,5,4,8,6]=>{{1},{2},{3,4,6,7,8},{5}}=>{{1},{2},{3,4,6,7,8},{5}}
[4,3,7,5,8,6,1,2]=>[1,2,3,7,4,5,8,6]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[6,7,4,8,3,5,2,1]=>[1,2,3,5,4,8,6,7]=>{{1},{2},{3},{4,5},{6,7,8}}=>{{1},{2},{3},{4,5},{6,7,8}}
[1,8,6,7,3,4,5,2]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,5,6,2,3,1,8,7]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,5,6,2,1,3,8,7]=>[1,3,8,2,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,5,6,1,3,2,8,7]=>[1,3,2,8,4,5,6,7]=>{{1},{2,3},{4,5,6,7,8}}=>{{1},{2,3},{4,5,6,7,8}}
[4,5,6,3,1,2,8,7]=>[1,2,8,3,4,5,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[4,5,7,3,2,8,1,6]=>[1,6,2,8,3,4,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,6,7,3,8,2,5,1]=>[1,2,5,3,8,4,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[4,6,7,3,8,2,1,5]=>[1,5,2,3,8,4,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,5,7,3,1,8,2,6]=>[1,8,2,6,3,4,5,7]=>{{1},{2,3,5,7,8},{4,6}}=>{{1},{2,3,7,8},{4,5,6}}
[3,5,1,7,4,8,2,6]=>[1,7,2,6,3,5,4,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[4,5,7,1,3,8,6,2]=>[1,3,8,2,4,5,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>{{1},{2,3,4,5,6,8},{7}}
[4,6,7,3,8,1,5,2]=>[1,5,2,3,8,4,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,6,7,8,3,1,4,2]=>[1,4,2,3,5,6,7,8]=>{{1},{2,3,4},{5},{6},{7},{8}}=>{{1},{2,3,4},{5},{6},{7},{8}}
[4,6,7,1,8,3,5,2]=>[1,8,2,3,5,4,6,7]=>{{1},{2,3,4,6,7,8},{5}}=>{{1},{2,3,4,6,7,8},{5}}
[2,1,6,7,8,4,5,3]=>[1,6,7,8,2,3,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,6,7,1,8,3,2,5]=>[1,8,2,5,3,4,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,6,7,8,1,3,2,4]=>[1,3,2,4,5,6,7,8]=>{{1},{2,3},{4},{5},{6},{7},{8}}=>{{1},{2,3},{4},{5},{6},{7},{8}}
[4,6,7,2,8,3,5,1]=>[1,2,8,3,5,4,6,7]=>{{1},{2},{3,4,6,7,8},{5}}=>{{1},{2},{3,4,6,7,8},{5}}
[3,6,2,7,8,4,5,1]=>[1,2,7,8,3,6,4,5]=>{{1},{2},{3,4,5,7,8},{6}}=>{{1},{2},{3,4,5,7,8},{6}}
[3,6,2,7,8,4,1,5]=>[1,5,2,7,8,3,6,4]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,4,2,1,7,8,5,6]=>[1,7,8,2,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,5,7,1,2,8,6,3]=>[1,2,8,3,4,5,7,6]=>{{1},{2},{3,4,5,6,8},{7}}=>{{1},{2},{3,4,5,6,8},{7}}
[3,6,1,7,8,2,5,4]=>[1,7,8,2,5,3,6,4]=>{{1},{2,3,4,6,7,8},{5}}=>{{1},{2,3,4,6,7,8},{5}}
[4,6,7,1,8,2,5,3]=>[1,8,2,5,3,4,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,6,7,8,2,4,1,3]=>[1,3,2,4,5,6,7,8]=>{{1},{2,3},{4},{5},{6},{7},{8}}=>{{1},{2,3},{4},{5},{6},{7},{8}}
[3,6,1,7,8,5,2,4]=>[1,7,8,2,4,3,6,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,1,6,7,8,5,3,4]=>[1,6,7,8,2,3,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,3,1,6,2,4,8,7]=>[1,6,2,4,8,3,5,7]=>{{1},{2,3,6},{4},{5,7,8}}=>{{1},{2,3,7,8},{4},{5,6}}
[7,3,1,5,2,8,4,6]=>[1,5,2,8,3,4,6,7]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[7,4,5,1,2,8,3,6]=>[1,2,8,3,6,4,5,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[6,4,5,1,2,3,8,7]=>[1,2,3,8,4,5,6,7]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[5,6,4,1,2,3,8,7]=>[1,2,3,8,4,5,6,7]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[7,5,4,1,2,8,3,6]=>[1,2,8,3,6,4,5,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[5,7,4,1,2,8,3,6]=>[1,2,8,3,6,4,5,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[3,7,1,5,2,8,4,6]=>[1,5,2,8,3,7,4,6]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[4,8,5,1,2,7,3,6]=>[1,2,7,3,6,4,8,5]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[4,8,6,1,7,2,3,5]=>[1,7,2,3,5,4,8,6]=>{{1},{2,3,4,6,7,8},{5}}=>{{1},{2,3,4,6,7,8},{5}}
[2,1,8,6,7,3,4,5]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,7,6,8,1,2,3,4]=>[1,2,3,4,5,7,6,8]=>{{1},{2},{3},{4},{5},{6,7},{8}}=>{{1},{2},{3},{4},{5},{6,7},{8}}
[4,3,1,2,7,8,5,6]=>[1,2,7,8,3,4,5,6]=>{{1},{2},{3,5,7},{4,6,8}}=>{{1},{2},{3,8},{4,5,6,7}}
[5,6,8,7,1,2,3,4]=>[1,2,3,4,5,6,8,7]=>{{1},{2},{3},{4},{5},{6},{7,8}}=>{{1},{2},{3},{4},{5},{6},{7,8}}
[8,5,7,6,1,2,3,4]=>[1,2,3,4,5,7,6,8]=>{{1},{2},{3},{4},{5},{6,7},{8}}=>{{1},{2},{3},{4},{5},{6,7},{8}}
[6,8,7,5,1,2,3,4]=>[1,2,3,4,5,6,8,7]=>{{1},{2},{3},{4},{5},{6},{7,8}}=>{{1},{2},{3},{4},{5},{6},{7,8}}
[6,4,7,3,8,5,1,2]=>[1,2,3,8,4,7,5,6]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[5,4,2,7,6,1,8,3]=>[1,8,2,7,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,4,3,7,6,8,1,2]=>[1,2,3,7,4,5,6,8]=>{{1},{2},{3},{4,5,6,7},{8}}=>{{1},{2},{3},{4,5,6,7},{8}}
[5,4,3,7,8,6,1,2]=>[1,2,3,7,8,4,5,6]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[5,4,3,8,6,7,1,2]=>[1,2,3,8,4,5,6,7]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[5,3,2,6,1,7,4,8]=>[1,7,2,6,3,4,8,5]=>{{1},{2,3,5,7,8},{4,6}}=>{{1},{2,3,7,8},{4,5,6}}
[5,3,2,6,1,8,7,4]=>[1,8,2,6,3,4,5,7]=>{{1},{2,3,5,7,8},{4,6}}=>{{1},{2,3,7,8},{4,5,6}}
[6,4,8,2,5,1,7,3]=>[1,7,2,5,3,4,8,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,4,2,8,6,1,3,7]=>[1,3,7,2,8,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,3,2,6,1,8,4,7]=>[1,8,2,6,3,4,7,5]=>{{1},{2,3,5,8},{4,6},{7}}=>{{1},{2,3,8},{4,5,6},{7}}
[6,3,8,2,1,5,4,7]=>[1,5,2,3,8,4,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>{{1},{2,3,4,5,6,8},{7}}
[7,8,3,2,1,5,4,6]=>[1,5,2,3,4,6,7,8]=>{{1},{2,3,4,5},{6},{7},{8}}=>{{1},{2,3,4,5},{6},{7},{8}}
[5,3,2,7,1,8,6,4]=>[1,8,2,7,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,3,2,7,1,6,4,8]=>[1,6,2,7,3,4,8,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,3,7,2,1,5,4,8]=>[1,5,2,3,7,4,8,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,3,7,2,1,5,8,4]=>[1,5,8,2,3,7,4,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,3,2,1,8,7,5,6]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,3,2,1,8,5,6,7]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[1,6,8,3,2,7,5,4]=>[1,6,8,2,7,3,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,1,8,3,2,7,5,4]=>[1,8,2,7,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[1,5,2,8,3,7,6,4]=>[1,5,2,8,3,7,4,6]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[6,2,8,1,3,7,5,4]=>[1,3,7,2,8,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,2,8,4,7,1,5,3]=>[1,5,2,8,3,4,7,6]=>{{1},{2,3,5},{4,6,8},{7}}=>{{1},{2,3,6,8},{4,5},{7}}
[6,3,8,4,7,5,1,2]=>[1,2,3,8,4,7,5,6]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[2,5,1,8,3,7,6,4]=>[1,8,2,5,3,7,4,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[1,2,5,8,3,7,6,4]=>[1,2,5,8,3,7,4,6]=>{{1},{2},{3,5},{4,6,7,8}}=>{{1},{2},{3,6,7,8},{4,5}}
[3,5,4,8,7,6,1,2]=>[1,2,3,5,4,8,6,7]=>{{1},{2},{3},{4,5},{6,7,8}}=>{{1},{2},{3},{4,5},{6,7,8}}
[5,3,4,8,7,6,1,2]=>[1,2,3,4,8,5,6,7]=>{{1},{2},{3},{4},{5,6,7,8}}=>{{1},{2},{3},{4},{5,6,7,8}}
[5,2,4,8,7,1,6,3]=>[1,6,2,4,8,3,5,7]=>{{1},{2,3,6},{4},{5,7,8}}=>{{1},{2,3,7,8},{4},{5,6}}
[4,1,2,3,8,7,6,5]=>[1,2,3,8,4,5,6,7]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[1,4,2,3,8,7,6,5]=>[1,4,2,3,8,5,6,7]=>{{1},{2,3,4},{5,6,7,8}}=>{{1},{2,3,4},{5,6,7,8}}
[4,1,3,2,8,7,6,5]=>[1,3,2,8,4,5,6,7]=>{{1},{2,3},{4,5,6,7,8}}=>{{1},{2,3},{4,5,6,7,8}}
[5,3,1,8,2,7,6,4]=>[1,8,2,7,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,4,1,8,7,2,6,3]=>[1,8,2,6,3,4,5,7]=>{{1},{2,3,5,7,8},{4,6}}=>{{1},{2,3,7,8},{4,5,6}}
[5,6,8,7,3,4,1,2]=>[1,2,3,4,5,6,8,7]=>{{1},{2},{3},{4},{5},{6},{7,8}}=>{{1},{2},{3},{4},{5},{6},{7,8}}
[4,5,1,8,7,2,6,3]=>[1,8,2,6,3,4,5,7]=>{{1},{2,3,5,7,8},{4,6}}=>{{1},{2,3,7,8},{4,5,6}}
[1,3,5,8,2,7,6,4]=>[1,3,5,8,2,7,4,6]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[3,1,5,8,2,7,6,4]=>[1,5,8,2,7,3,4,6]=>{{1},{2,4,5,7},{3,6,8}}=>{{1},{2,5,6,7},{3,4,8}}
[3,6,8,2,1,7,5,4]=>[1,7,2,3,6,8,4,5]=>{{1},{2,3,4,7},{5,6,8}}=>{{1},{2,3,4,6,7},{5,8}}
[4,5,3,8,7,6,1,2]=>[1,2,3,8,4,5,6,7]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[3,5,2,8,1,7,6,4]=>[1,7,2,8,3,5,4,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,1,4,2,8,7,6,5]=>[1,4,2,8,3,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,2,5,8,1,7,6,4]=>[1,7,2,5,8,3,4,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,2,5,8,7,1,6,3]=>[1,6,2,5,8,3,4,7]=>{{1},{2,3,6},{4,5,7,8}}=>{{1},{2,3,5,6},{4,7,8}}
[4,3,5,8,7,6,1,2]=>[1,2,3,5,8,4,6,7]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[6,2,5,1,4,3,8,7]=>[1,4,2,5,3,8,6,7]=>{{1},{2,3,4,5},{6,7,8}}=>{{1},{2,3,4,5},{6,7,8}}
[5,2,6,1,4,3,8,7]=>[1,4,2,6,3,8,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,2,8,1,4,3,7,5]=>[1,4,2,8,3,7,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,2,6,1,4,3,8,5]=>[1,4,2,6,3,8,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[8,2,5,1,4,3,7,6]=>[1,4,2,5,3,7,6,8]=>{{1},{2,3,4,5},{6,7},{8}}=>{{1},{2,3,4,5},{6,7},{8}}
[8,1,4,3,7,2,6,5]=>[1,4,2,6,3,7,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[8,2,6,1,5,3,7,4]=>[1,5,2,6,3,7,4,8]=>{{1},{2,3,5},{4,6,7},{8}}=>{{1},{2,3,6,7},{4,5},{8}}
[7,2,6,1,5,3,8,4]=>[1,5,2,6,3,8,4,7]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[6,2,8,1,5,3,7,4]=>[1,5,2,8,3,7,4,6]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[7,4,8,1,3,2,6,5]=>[1,3,2,6,4,8,5,7]=>{{1},{2,3},{4,5,6,7,8}}=>{{1},{2,3},{4,5,6,7,8}}
[8,3,7,1,4,2,6,5]=>[1,4,2,6,3,7,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[8,3,7,1,5,2,6,4]=>[1,5,2,6,3,7,4,8]=>{{1},{2,3,5},{4,6,7},{8}}=>{{1},{2,3,6,7},{4,5},{8}}
[7,3,8,1,5,2,6,4]=>[1,5,2,6,3,8,4,7]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[6,2,8,3,7,1,5,4]=>[1,5,2,8,3,7,4,6]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[5,1,8,3,7,2,6,4]=>[1,8,2,6,3,7,4,5]=>{{1},{2,3,5,8},{4,6,7}}=>{{1},{2,3,7},{4,5,6,8}}
[4,1,8,3,7,2,6,5]=>[1,8,2,6,3,7,4,5]=>{{1},{2,3,5,8},{4,6,7}}=>{{1},{2,3,7},{4,5,6,8}}
[3,1,7,4,8,2,6,5]=>[1,7,2,6,3,4,8,5]=>{{1},{2,3,5,7,8},{4,6}}=>{{1},{2,3,7,8},{4,5,6}}
[4,1,7,3,8,2,6,5]=>[1,7,2,6,3,8,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,1,7,3,8,2,6,4]=>[1,7,2,6,3,8,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,3,8,2,6,1,5,4]=>[1,5,2,6,3,8,4,7]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[8,2,6,3,7,1,5,4]=>[1,5,2,6,3,7,4,8]=>{{1},{2,3,5},{4,6,7},{8}}=>{{1},{2,3,6,7},{4,5},{8}}
[5,3,6,2,8,1,4,7]=>[1,4,7,2,8,3,6,5]=>{{1},{2,4},{3,6,7},{5,8}}=>{{1},{2,7},{3,4},{5,6,8}}
[4,5,2,6,3,8,1,7]=>[1,7,2,6,3,8,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,5,1,6,3,8,2,7]=>[1,6,2,7,3,8,4,5]=>{{1},{2,3,5,6,8},{4,7}}=>{{1},{2,3,6,7},{4,5,8}}
[4,5,6,3,2,8,1,7]=>[1,7,2,8,3,4,5,6]=>{{1},{2,3,5,7},{4,6,8}}=>{{1},{2,3,8},{4,5,6,7}}
[6,7,4,8,3,2,5,1]=>[1,2,5,3,4,8,6,7]=>{{1},{2},{3,4,5},{6,7,8}}=>{{1},{2},{3,4,5},{6,7,8}}
[6,7,4,8,3,2,1,5]=>[1,5,2,3,4,8,6,7]=>{{1},{2,3,4,5},{6,7,8}}=>{{1},{2,3,4,5},{6,7,8}}
[6,7,4,1,8,3,2,5]=>[1,8,2,5,3,4,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,7,4,3,8,1,5,2]=>[1,5,2,3,8,4,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,1,6,7,3,8,4,2]=>[1,6,7,2,3,8,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,7,2,8,4,5,1,3]=>[1,3,2,8,4,5,6,7]=>{{1},{2,3},{4,5,6,7,8}}=>{{1},{2,3},{4,5,6,7,8}}
[6,7,2,8,4,1,3,5]=>[1,3,5,2,8,4,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,1,7,4,8,3,2,5]=>[1,7,2,5,3,4,8,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,6,1,7,3,2,8,4]=>[1,7,2,8,3,4,5,6]=>{{1},{2,3,5,7},{4,6,8}}=>{{1},{2,3,8},{4,5,6,7}}
[5,6,7,3,2,1,8,4]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,6,7,3,2,8,4,1]=>[1,2,8,3,4,5,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[6,7,4,2,8,3,5,1]=>[1,2,8,3,5,4,6,7]=>{{1},{2},{3,4,6,7,8},{5}}=>{{1},{2},{3,4,6,7,8},{5}}
[3,6,7,8,5,2,1,4]=>[1,4,2,3,6,7,8,5]=>{{1},{2,3,4},{5,6,7,8}}=>{{1},{2,3,4},{5,6,7,8}}
[3,6,7,8,5,2,4,1]=>[1,2,4,3,6,7,8,5]=>{{1},{2},{3,4},{5,6,7,8}}=>{{1},{2},{3,4},{5,6,7,8}}
[6,4,7,8,2,5,3,1]=>[1,2,5,3,4,7,8,6]=>{{1},{2},{3,4,5},{6,7,8}}=>{{1},{2},{3,4,5},{6,7,8}}
[6,4,7,8,2,1,5,3]=>[1,5,2,3,4,7,8,6]=>{{1},{2,3,4,5},{6,7,8}}=>{{1},{2,3,4,5},{6,7,8}}
[6,7,2,8,5,1,3,4]=>[1,3,4,2,8,5,6,7]=>{{1},{2,3,4},{5,6,7,8}}=>{{1},{2,3,4},{5,6,7,8}}
[5,6,2,7,1,8,4,3]=>[1,8,2,7,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,6,2,7,8,4,3,1]=>[1,2,7,8,3,4,5,6]=>{{1},{2},{3,5,7},{4,6,8}}=>{{1},{2},{3,8},{4,5,6,7}}
[5,6,7,2,8,4,3,1]=>[1,2,8,3,4,5,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[5,6,7,2,1,8,4,3]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,6,1,7,2,8,4,3]=>[1,7,2,8,3,4,5,6]=>{{1},{2,3,5,7},{4,6,8}}=>{{1},{2,3,8},{4,5,6,7}}
[6,7,8,3,5,1,4,2]=>[1,4,2,3,5,6,7,8]=>{{1},{2,3,4},{5},{6},{7},{8}}=>{{1},{2,3,4},{5},{6},{7},{8}}
[5,6,1,7,8,4,3,2]=>[1,7,8,2,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,6,7,1,8,4,3,2]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,3,2,7,4,1,8,6]=>[1,8,2,7,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,5,3,8,2,4,6,1]=>[1,2,4,6,3,8,5,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[4,5,3,7,1,8,2,6]=>[1,8,2,6,3,7,4,5]=>{{1},{2,3,5,8},{4,6,7}}=>{{1},{2,3,7},{4,5,6,8}}
[4,3,6,7,8,1,5,2]=>[1,5,2,3,6,7,8,4]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,5,6,7,8,4,1,2]=>[1,2,3,5,6,7,8,4]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[3,1,5,6,7,8,4,2]=>[1,5,6,7,8,2,3,4]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,2,4,1,7,8,5,3]=>[1,7,8,2,4,3,5,6]=>{{1},{2,4,5,7},{3,6,8}}=>{{1},{2,5,6,7},{3,4,8}}
[4,5,2,7,8,1,3,6]=>[1,3,6,2,7,8,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,7,4,2,1,5,8,6]=>[1,5,8,2,3,7,4,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,3,2,7,1,8,5,4]=>[1,8,2,7,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,7,3,8,2,5,4,1]=>[1,2,5,3,8,4,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[1,6,4,7,8,5,2,3]=>[1,6,2,3,4,7,8,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,6,7,1,3,8,5,4]=>[1,3,8,2,6,7,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,7,3,8,5,1,4,2]=>[1,4,2,3,8,5,6,7]=>{{1},{2,3,4},{5,6,7,8}}=>{{1},{2,3,4},{5,6,7,8}}
[4,5,1,2,3,8,7,6]=>[1,2,3,8,4,5,6,7]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[1,6,5,3,4,8,7,2]=>[1,6,2,3,4,8,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,5,1,2,3,8,7,4]=>[1,2,3,8,4,5,6,7]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[6,4,1,2,3,8,7,5]=>[1,2,3,8,4,5,6,7]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[5,4,1,2,3,8,7,6]=>[1,2,3,8,4,5,6,7]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[6,4,1,8,2,3,5,7]=>[1,8,2,3,5,7,4,6]=>{{1},{2,3,4,6,7,8},{5}}=>{{1},{2,3,4,6,7,8},{5}}
[7,4,1,2,8,3,6,5]=>[1,2,8,3,6,4,5,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[7,5,1,2,8,3,6,4]=>[1,2,8,3,6,4,5,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[7,1,5,2,8,4,6,3]=>[1,5,2,8,3,4,6,7]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[7,6,1,8,2,3,5,4]=>[1,8,2,3,5,4,6,7]=>{{1},{2,3,4,6,7,8},{5}}=>{{1},{2,3,4,6,7,8},{5}}
[3,1,2,7,8,5,6,4]=>[1,2,7,8,3,4,5,6]=>{{1},{2},{3,5,7},{4,6,8}}=>{{1},{2},{3,8},{4,5,6,7}}
[3,1,7,6,2,4,5,8]=>[1,7,2,4,5,8,3,6]=>{{1},{2,3,7},{4},{5},{6,8}}=>{{1},{2,3,8},{4},{5},{6,7}}
[1,5,8,3,7,4,6,2]=>[1,5,8,2,3,7,4,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,8,7,1,2,3,4,5]=>[1,2,3,4,5,6,8,7]=>{{1},{2},{3},{4},{5},{6},{7,8}}=>{{1},{2},{3},{4},{5},{6},{7,8}}
[5,8,6,1,2,3,4,7]=>[1,2,3,4,7,5,8,6]=>{{1},{2},{3},{4},{5,6,7,8}}=>{{1},{2},{3},{4},{5,6,7,8}}
[1,7,8,6,3,4,5,2]=>[1,7,8,2,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,8,1,4,5,7,3,2]=>[1,4,5,7,2,3,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[3,1,6,4,5,2,8,7]=>[1,6,2,8,3,4,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[8,1,7,4,2,6,3,5]=>[1,7,2,6,3,5,4,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[3,7,8,4,5,1,2,6]=>[1,2,6,3,7,8,4,5]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[5,6,3,8,1,7,2,4]=>[1,7,2,4,3,8,5,6]=>{{1},{2,3,5,7},{4},{6,8}}=>{{1},{2,3,5,8},{4},{6,7}}
[3,7,6,4,5,8,2,1]=>[1,2,3,7,4,5,8,6]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[8,4,1,3,5,6,7,2]=>[1,3,5,6,7,2,4,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[7,3,8,4,2,6,1,5]=>[1,5,2,6,3,8,4,7]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[4,8,2,3,5,6,7,1]=>[1,2,3,5,6,7,4,8]=>{{1},{2},{3},{4,5,6,7},{8}}=>{{1},{2},{3},{4,5,6,7},{8}}
[8,7,1,4,3,6,2,5]=>[1,4,2,5,3,6,7,8]=>{{1},{2,3,4,5},{6},{7},{8}}=>{{1},{2,3,4,5},{6},{7},{8}}
[8,6,3,1,4,2,7,5]=>[1,4,2,7,3,5,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[3,4,2,8,5,6,7,1]=>[1,2,8,3,4,5,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[2,1,5,3,8,6,7,4]=>[1,5,2,3,8,4,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,7,2,4,5,8,3,1]=>[1,2,4,5,8,3,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[2,5,7,4,8,6,3,1]=>[1,2,5,7,3,4,8,6]=>{{1},{2},{3,5},{4,6,7,8}}=>{{1},{2},{3,6,7,8},{4,5}}
[4,6,3,5,8,2,7,1]=>[1,2,7,3,5,8,4,6]=>{{1},{2},{3,4,7},{5},{6,8}}=>{{1},{2},{3,4,8},{5},{6,7}}
[3,2,7,6,4,5,1,8]=>[1,8,2,7,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,7,2,6,3,5,1,8]=>[1,8,2,6,3,5,4,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,7,6,2,3,4,1,8]=>[1,8,2,3,4,5,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>{{1},{2,3,4,5,6,8},{7}}
[3,2,8,6,4,1,5,7]=>[1,5,7,2,8,3,4,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,1,5,2,8,3,4,6]=>[1,5,2,8,3,4,6,7]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[3,2,1,7,8,4,5,6]=>[1,7,8,2,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,2,5,4,1,8,6,7]=>[1,8,2,5,3,4,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,4,2,1,8,3,5,6]=>[1,8,2,3,5,6,4,7]=>{{1},{2,3,4,7,8},{5},{6}}=>{{1},{2,3,4,7,8},{5},{6}}
[1,4,2,8,7,3,5,6]=>[1,4,2,8,3,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[1,5,8,2,7,3,4,6]=>[1,5,8,2,7,3,4,6]=>{{1},{2,4,5,7},{3,6,8}}=>{{1},{2,5,6,7},{3,4,8}}
[3,2,7,1,8,4,5,6]=>[1,8,2,7,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,7,2,1,8,3,5,6]=>[1,8,2,3,5,6,4,7]=>{{1},{2,3,4,7,8},{5},{6}}=>{{1},{2,3,4,7,8},{5},{6}}
[1,7,8,6,2,3,4,5]=>[1,7,8,2,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,2,8,1,7,4,5,6]=>[1,7,2,8,3,4,5,6]=>{{1},{2,3,5,7},{4,6,8}}=>{{1},{2,3,8},{4,5,6,7}}
[6,1,8,7,2,3,4,5]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,8,4,1,6,5,7,3]=>[1,6,2,8,3,4,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,8,5,6,7,4,3,1]=>[1,2,8,3,4,5,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[2,8,5,3,4,1,7,6]=>[1,7,2,8,3,4,5,6]=>{{1},{2,3,5,7},{4,6,8}}=>{{1},{2,3,8},{4,5,6,7}}
[2,8,5,6,7,4,1,3]=>[1,3,2,8,4,5,6,7]=>{{1},{2,3},{4,5,6,7,8}}=>{{1},{2,3},{4,5,6,7,8}}
[6,5,2,8,3,1,7,4]=>[1,7,2,8,3,4,5,6]=>{{1},{2,3,5,7},{4,6,8}}=>{{1},{2,3,8},{4,5,6,7}}
[6,5,8,2,1,3,7,4]=>[1,3,7,2,4,5,8,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,5,6,2,1,8,7,4]=>[1,8,2,3,5,6,4,7]=>{{1},{2,3,4,7,8},{5},{6}}=>{{1},{2,3,4,7,8},{5},{6}}
[6,5,2,7,3,1,8,4]=>[1,8,2,7,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,1,6,7,4,3,8,2]=>[1,6,7,2,3,8,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,1,2,6,4,8,7,3]=>[1,2,6,3,4,8,5,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[4,1,2,3,8,6,7,5]=>[1,2,3,8,4,5,6,7]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[6,5,8,2,4,3,7,1]=>[1,2,4,3,7,5,8,6]=>{{1},{2},{3,4},{5,6,7,8}}=>{{1},{2},{3,4},{5,6,7,8}}
[6,5,2,8,3,7,1,4]=>[1,4,2,8,3,7,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,5,2,7,3,4,1,8]=>[1,8,2,7,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,1,6,8,7,3,2,4]=>[1,6,8,2,4,3,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,7,8,6,3,4,2,1]=>[1,2,3,4,5,7,8,6]=>{{1},{2},{3},{4},{5},{6,7,8}}=>{{1},{2},{3},{4},{5},{6,7,8}}
[4,1,6,5,7,3,2,8]=>[1,6,2,8,3,4,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,5,2,6,3,7,1,8]=>[1,8,2,6,3,7,4,5]=>{{1},{2,3,5,8},{4,6,7}}=>{{1},{2,3,7},{4,5,6,8}}
[4,5,2,7,3,8,1,6]=>[1,6,2,7,3,8,4,5]=>{{1},{2,3,5,6,8},{4,7}}=>{{1},{2,3,6,7},{4,5,8}}
[3,7,5,6,8,4,1,2]=>[1,2,3,7,4,5,6,8]=>{{1},{2},{3},{4,5,6,7},{8}}=>{{1},{2},{3},{4,5,6,7},{8}}
[4,1,2,3,5,8,7,6]=>[1,2,3,5,8,4,6,7]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[4,1,2,6,8,5,7,3]=>[1,2,6,8,3,4,5,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[4,1,2,5,6,8,7,3]=>[1,2,5,6,8,3,4,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[4,5,2,6,3,7,8,1]=>[1,2,6,3,7,8,4,5]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[4,7,1,5,2,3,8,6]=>[1,5,2,3,8,4,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>{{1},{2,3,4,5,6,8},{7}}
[4,7,6,3,8,1,2,5]=>[1,2,5,3,8,4,7,6]=>{{1},{2},{3,4,5,6,8},{7}}=>{{1},{2},{3,4,5,6,8},{7}}
[5,7,2,6,1,8,3,4]=>[1,8,2,6,3,4,5,7]=>{{1},{2,3,5,7,8},{4,6}}=>{{1},{2,3,7,8},{4,5,6}}
[7,4,8,5,2,6,1,3]=>[1,3,2,6,4,8,5,7]=>{{1},{2,3},{4,5,6,7,8}}=>{{1},{2,3},{4,5,6,7,8}}
[5,8,2,6,3,7,1,4]=>[1,4,2,6,3,7,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[3,8,5,7,1,2,4,6]=>[1,2,4,6,3,8,5,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[4,8,6,2,7,1,3,5]=>[1,3,5,2,7,4,8,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,3,8,5,6,1,2,4]=>[1,2,4,3,8,5,6,7]=>{{1},{2},{3,4},{5,6,7,8}}=>{{1},{2},{3,4},{5,6,7,8}}
[6,3,7,5,8,1,2,4]=>[1,2,4,3,7,5,8,6]=>{{1},{2},{3,4},{5,6,7,8}}=>{{1},{2},{3,4},{5,6,7,8}}
[2,7,6,4,8,1,3,5]=>[1,3,5,2,7,4,8,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[8,4,1,6,7,2,3,5]=>[1,6,7,2,3,5,4,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[6,5,1,2,7,8,3,4]=>[1,2,7,8,3,4,5,6]=>{{1},{2},{3,5,7},{4,6,8}}=>{{1},{2},{3,8},{4,5,6,7}}
[4,7,1,5,8,6,2,3]=>[1,5,8,2,3,4,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>{{1},{2,3,4,5,6,8},{7}}
[7,4,1,8,6,2,3,5]=>[1,8,2,3,5,4,6,7]=>{{1},{2,3,4,6,7,8},{5}}=>{{1},{2,3,4,6,7,8},{5}}
[7,6,1,8,5,2,3,4]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,7,2,8,1,6,3,4]=>[1,6,2,8,3,4,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,3,8,7,1,2,4,6]=>[1,2,4,6,3,8,5,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[8,4,7,6,1,2,3,5]=>[1,2,3,5,4,7,6,8]=>{{1},{2},{3},{4,5},{6,7},{8}}=>{{1},{2},{3},{4,5},{6,7},{8}}
[5,4,8,7,1,2,3,6]=>[1,2,3,6,4,8,5,7]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[7,5,8,6,4,1,2,3]=>[1,2,3,4,5,8,6,7]=>{{1},{2},{3},{4},{5},{6,7,8}}=>{{1},{2},{3},{4},{5},{6,7,8}}
[2,8,7,6,1,3,4,5]=>[1,3,4,5,2,8,6,7]=>{{1},{2,3,4,5},{6,7,8}}=>{{1},{2,3,4,5},{6,7,8}}
[3,8,7,6,1,2,4,5]=>[1,2,4,5,3,8,6,7]=>{{1},{2},{3,4,5},{6,7,8}}=>{{1},{2},{3,4,5},{6,7,8}}
[4,8,7,6,1,2,3,5]=>[1,2,3,5,4,8,6,7]=>{{1},{2},{3},{4,5},{6,7,8}}=>{{1},{2},{3},{4,5},{6,7,8}}
[5,6,3,1,4,2,8,7]=>[1,4,2,8,3,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,2,7,3,4,5,8,1]=>[1,2,7,3,4,5,8,6]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[6,7,3,5,2,4,8,1]=>[1,2,4,8,3,5,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[3,7,6,2,4,5,8,1]=>[1,2,4,5,8,3,7,6]=>{{1},{2},{3,4,5,6,8},{7}}=>{{1},{2},{3,4,5,6,8},{7}}
[1,6,3,2,8,4,5,7]=>[1,6,2,8,3,4,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,2,6,5,1,8,3,7]=>[1,8,2,6,3,7,4,5]=>{{1},{2,3,5,8},{4,6,7}}=>{{1},{2,3,7},{4,5,6,8}}
[2,8,1,7,3,4,5,6]=>[1,7,2,8,3,4,5,6]=>{{1},{2,3,5,7},{4,6,8}}=>{{1},{2,3,8},{4,5,6,7}}
[7,2,6,1,8,3,4,5]=>[1,8,2,6,3,4,5,7]=>{{1},{2,3,5,7,8},{4,6}}=>{{1},{2,3,7,8},{4,5,6}}
[5,4,1,3,6,8,2,7]=>[1,3,6,8,2,7,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,2,5,8,7,1,3,6]=>[1,3,6,2,5,8,4,7]=>{{1},{2,3,4,6,7,8},{5}}=>{{1},{2,3,4,6,7,8},{5}}
[2,1,8,7,3,4,5,6]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[1,2,8,7,3,4,5,6]=>[1,2,8,3,4,5,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[1,3,8,7,2,4,5,6]=>[1,3,8,2,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[1,7,8,3,6,2,4,5]=>[1,7,8,2,4,5,3,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,4,8,7,6,1,2,3]=>[1,2,3,4,8,5,6,7]=>{{1},{2},{3},{4},{5,6,7,8}}=>{{1},{2},{3},{4},{5,6,7,8}}
[7,8,6,2,5,1,3,4]=>[1,3,4,2,5,6,7,8]=>{{1},{2,3,4},{5},{6},{7},{8}}=>{{1},{2,3,4},{5},{6},{7},{8}}
[7,4,8,3,2,6,5,1]=>[1,2,6,3,4,8,5,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[8,1,4,3,2,7,5,6]=>[1,4,2,7,3,5,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[8,1,5,4,6,7,2,3]=>[1,5,2,3,4,6,7,8]=>{{1},{2,3,4,5},{6},{7},{8}}=>{{1},{2,3,4,5},{6},{7},{8}}
[8,1,4,3,2,5,7,6]=>[1,4,2,5,7,3,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[6,4,3,1,2,5,8,7]=>[1,2,5,8,3,4,6,7]=>{{1},{2},{3,5},{4,6,7,8}}=>{{1},{2},{3,6,7,8},{4,5}}
[7,4,1,3,2,5,8,6]=>[1,3,2,5,8,4,6,7]=>{{1},{2,3},{4,5,6,7,8}}=>{{1},{2,3},{4,5,6,7,8}}
[7,5,1,4,6,8,2,3]=>[1,4,6,8,2,3,5,7]=>{{1},{2,4,5,7,8},{3,6}}=>{{1},{2,5,6},{3,4,7,8}}
[5,4,3,2,8,6,1,7]=>[1,7,2,8,3,4,5,6]=>{{1},{2,3,5,7},{4,6,8}}=>{{1},{2,3,8},{4,5,6,7}}
[5,4,3,2,8,7,1,6]=>[1,6,2,8,3,4,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,5,4,8,7,1,2,3]=>[1,2,3,4,8,5,6,7]=>{{1},{2},{3},{4},{5,6,7,8}}=>{{1},{2},{3},{4},{5,6,7,8}}
[6,5,4,1,7,8,2,3]=>[1,7,8,2,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,4,3,1,2,7,8,5]=>[1,2,7,8,3,4,5,6]=>{{1},{2},{3,5,7},{4,6,8}}=>{{1},{2},{3,8},{4,5,6,7}}
[7,4,1,3,2,8,5,6]=>[1,3,2,8,4,5,6,7]=>{{1},{2,3},{4,5,6,7,8}}=>{{1},{2,3},{4,5,6,7,8}}
[6,4,3,1,2,7,5,8]=>[1,2,7,3,4,5,8,6]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[6,5,3,8,7,2,4,1]=>[1,2,4,3,8,5,6,7]=>{{1},{2},{3,4},{5,6,7,8}}=>{{1},{2},{3,4},{5,6,7,8}}
[6,4,3,7,2,1,5,8]=>[1,5,8,2,3,7,4,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,2,6,8,5,1,4,7]=>[1,4,7,2,6,8,3,5]=>{{1},{2,4},{3,7},{5,6,8}}=>{{1},{2,6,7},{3,4},{5,8}}
[6,7,8,1,5,2,3,4]=>[1,5,2,3,4,6,7,8]=>{{1},{2,3,4,5},{6},{7},{8}}=>{{1},{2,3,4,5},{6},{7},{8}}
[4,7,2,8,1,6,3,5]=>[1,6,2,8,3,5,4,7]=>{{1},{2,3,5,6},{4,7,8}}=>{{1},{2,3,6},{4,5,7,8}}
[6,7,8,1,5,3,4,2]=>[1,5,2,3,4,6,7,8]=>{{1},{2,3,4,5},{6},{7},{8}}=>{{1},{2,3,4,5},{6},{7},{8}}
[6,7,8,1,4,3,5,2]=>[1,4,2,3,5,6,7,8]=>{{1},{2,3,4},{5},{6},{7},{8}}=>{{1},{2,3,4},{5},{6},{7},{8}}
[4,7,3,8,1,6,2,5]=>[1,6,2,5,3,8,4,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,7,3,8,1,5,6,2]=>[1,5,6,2,3,8,4,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,7,3,8,1,5,2,6]=>[1,5,2,6,3,8,4,7]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[4,7,3,8,1,2,5,6]=>[1,2,5,6,3,8,4,7]=>{{1},{2},{3,5},{4,6,7,8}}=>{{1},{2},{3,6,7,8},{4,5}}
[3,2,7,8,1,5,4,6]=>[1,5,2,7,8,3,4,6]=>{{1},{2,3,5,6,8},{4,7}}=>{{1},{2,3,6,7},{4,5,8}}
[6,7,8,1,3,4,2,5]=>[1,3,4,2,5,6,7,8]=>{{1},{2,3,4},{5},{6},{7},{8}}=>{{1},{2,3,4},{5},{6},{7},{8}}
[6,7,8,1,4,2,3,5]=>[1,4,2,3,5,6,7,8]=>{{1},{2,3,4},{5},{6},{7},{8}}=>{{1},{2,3,4},{5},{6},{7},{8}}
[6,7,8,1,3,2,4,5]=>[1,3,2,4,5,6,7,8]=>{{1},{2,3},{4},{5},{6},{7},{8}}=>{{1},{2,3},{4},{5},{6},{7},{8}}
[6,7,8,1,2,3,5,4]=>[1,2,3,5,4,6,7,8]=>{{1},{2},{3},{4,5},{6},{7},{8}}=>{{1},{2},{3},{4,5},{6},{7},{8}}
[6,7,5,1,8,4,3,2]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,7,5,3,1,8,4,2]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[1,5,3,2,7,6,8,4]=>[1,5,2,7,3,4,6,8]=>{{1},{2,3,5},{4,6,7},{8}}=>{{1},{2,3,6,7},{4,5},{8}}
[2,5,3,1,7,6,8,4]=>[1,7,2,5,3,4,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[2,7,5,1,6,8,4,3]=>[1,6,8,2,7,3,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,7,1,6,5,8,2,3]=>[1,6,2,3,4,7,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[2,7,6,1,5,8,3,4]=>[1,5,8,2,7,3,4,6]=>{{1},{2,4,5,7},{3,6,8}}=>{{1},{2,5,6,7},{3,4,8}}
[1,7,6,2,5,8,3,4]=>[1,7,2,5,8,3,4,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,1,5,2,7,4,8,3]=>[1,5,2,7,3,4,8,6]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[7,6,2,5,8,3,1,4]=>[1,4,2,5,8,3,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,1,4,2,7,5,8,3]=>[1,4,2,7,3,5,8,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,1,3,2,7,6,8,4]=>[1,3,2,7,4,5,6,8]=>{{1},{2,3},{4,5,6,7},{8}}=>{{1},{2,3},{4,5,6,7},{8}}
[6,7,1,3,5,8,2,4]=>[1,3,5,8,2,4,6,7]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[5,1,2,3,7,6,8,4]=>[1,2,3,7,4,5,6,8]=>{{1},{2},{3},{4,5,6,7},{8}}=>{{1},{2},{3},{4,5,6,7},{8}}
[4,2,7,1,8,6,5,3]=>[1,8,2,7,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[1,8,7,3,5,4,6,2]=>[1,8,2,3,5,4,6,7]=>{{1},{2,3,4,6,7,8},{5}}=>{{1},{2,3,4,6,7,8},{5}}
[8,7,6,1,4,2,3,5]=>[1,4,2,3,5,6,7,8]=>{{1},{2,3,4},{5},{6},{7},{8}}=>{{1},{2,3,4},{5},{6},{7},{8}}
[8,7,6,4,1,3,2,5]=>[1,3,2,5,4,6,7,8]=>{{1},{2,3},{4,5},{6},{7},{8}}=>{{1},{2,3},{4,5},{6},{7},{8}}
[4,8,5,1,7,2,6,3]=>[1,7,2,6,3,4,8,5]=>{{1},{2,3,5,7,8},{4,6}}=>{{1},{2,3,7,8},{4,5,6}}
[1,8,7,4,5,3,6,2]=>[1,8,2,3,6,4,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,8,5,7,2,1,6,3]=>[1,6,2,3,4,8,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[8,7,6,3,1,4,2,5]=>[1,4,2,5,3,6,7,8]=>{{1},{2,3,4,5},{6},{7},{8}}=>{{1},{2,3,4,5},{6},{7},{8}}
[8,5,3,2,7,1,6,4]=>[1,6,2,7,3,4,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[1,8,7,4,3,5,6,2]=>[1,8,2,3,5,6,4,7]=>{{1},{2,3,4,7,8},{5},{6}}=>{{1},{2,3,4,7,8},{5},{6}}
[1,8,7,3,4,5,6,2]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[8,3,1,5,2,7,6,4]=>[1,5,2,7,3,4,6,8]=>{{1},{2,3,5},{4,6,7},{8}}=>{{1},{2,3,6,7},{4,5},{8}}
[6,5,4,2,3,1,8,7]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[8,3,2,5,1,7,6,4]=>[1,7,2,5,3,4,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[8,3,2,5,1,7,4,6]=>[1,7,2,5,3,4,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[8,5,4,1,3,7,2,6]=>[1,3,7,2,6,4,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[2,1,8,7,6,4,5,3]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[8,5,4,2,3,7,6,1]=>[1,2,3,7,4,5,6,8]=>{{1},{2},{3},{4,5,6,7},{8}}=>{{1},{2},{3},{4,5,6,7},{8}}
[8,3,1,7,6,4,2,5]=>[1,7,2,5,3,4,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[8,3,1,5,4,7,6,2]=>[1,5,2,3,4,7,6,8]=>{{1},{2,3,4,5},{6,7},{8}}=>{{1},{2,3,4,5},{6,7},{8}}
[8,3,1,7,6,2,5,4]=>[1,7,2,5,3,4,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[8,3,2,7,6,5,1,4]=>[1,4,2,7,3,5,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[8,7,6,5,3,1,4,2]=>[1,4,2,3,5,6,7,8]=>{{1},{2,3,4},{5},{6},{7},{8}}=>{{1},{2,3,4},{5},{6},{7},{8}}
[8,3,2,7,6,1,5,4]=>[1,5,2,7,3,4,6,8]=>{{1},{2,3,5},{4,6,7},{8}}=>{{1},{2,3,6,7},{4,5},{8}}
[5,2,3,1,6,4,8,7]=>[1,6,2,3,4,8,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,4,5,2,3,1,8,6]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,1,6,3,5,2,8,7]=>[1,6,2,8,3,5,4,7]=>{{1},{2,3,5,6},{4,7,8}}=>{{1},{2,3,6},{4,5,7,8}}
[6,3,4,1,5,2,8,7]=>[1,5,2,8,3,4,6,7]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[5,2,7,3,4,1,8,6]=>[1,8,2,7,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,2,8,5,7,3,4,1]=>[1,2,8,3,4,5,7,6]=>{{1},{2},{3,4,5,6,8},{7}}=>{{1},{2},{3,4,5,6,8},{7}}
[6,2,7,3,4,1,8,5]=>[1,8,2,7,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,3,4,1,5,2,8,6]=>[1,5,2,8,3,4,6,7]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[4,1,7,3,5,2,8,6]=>[1,7,2,8,3,5,4,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,1,8,6,7,4,5,2]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,1,8,6,7,3,5,2]=>[1,8,2,3,5,4,6,7]=>{{1},{2,3,4,6,7,8},{5}}=>{{1},{2,3,4,6,7,8},{5}}
[6,2,8,4,7,3,5,1]=>[1,2,8,3,5,4,7,6]=>{{1},{2},{3,4,6,8},{5},{7}}=>{{1},{2},{3,4,6,8},{5},{7}}
[5,2,4,1,7,3,8,6]=>[1,7,2,4,3,8,5,6]=>{{1},{2,3,5,7},{4},{6,8}}=>{{1},{2,3,5,8},{4},{6,7}}
[6,2,4,1,7,3,8,5]=>[1,7,2,4,3,8,5,6]=>{{1},{2,3,5,7},{4},{6,8}}=>{{1},{2,3,5,8},{4},{6,7}}
[3,1,4,2,8,6,7,5]=>[1,4,2,8,3,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,2,3,1,8,5,7,4]=>[1,8,2,3,4,5,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>{{1},{2,3,4,5,6,8},{7}}
[7,3,8,5,6,2,4,1]=>[1,2,4,3,8,5,6,7]=>{{1},{2},{3,4},{5,6,7,8}}=>{{1},{2},{3,4},{5,6,7,8}}
[4,1,5,2,8,6,7,3]=>[1,5,2,8,3,4,6,7]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[3,1,6,2,8,5,7,4]=>[1,6,2,8,3,4,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[8,4,6,2,5,1,7,3]=>[1,7,2,5,3,4,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[7,3,8,4,6,2,5,1]=>[1,2,5,3,8,4,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[8,4,5,1,6,2,7,3]=>[1,6,2,7,3,4,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[4,1,8,5,6,2,7,3]=>[1,8,2,7,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,1,8,5,6,2,7,4]=>[1,8,2,7,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,3,6,2,8,4,5,1]=>[1,2,8,3,6,4,5,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[5,4,8,7,2,6,3,1]=>[1,2,6,3,4,8,5,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[5,3,8,7,6,1,2,4]=>[1,2,4,3,8,5,6,7]=>{{1},{2},{3,4},{5,6,7,8}}=>{{1},{2},{3,4},{5,6,7,8}}
[3,4,8,7,6,1,2,5]=>[1,2,5,3,4,8,6,7]=>{{1},{2},{3,4,5},{6,7,8}}=>{{1},{2},{3,4,5},{6,7,8}}
[4,5,8,7,6,1,2,3]=>[1,2,3,4,5,8,6,7]=>{{1},{2},{3},{4},{5},{6,7,8}}=>{{1},{2},{3},{4},{5},{6,7,8}}
[3,5,8,2,7,6,4,1]=>[1,2,7,3,5,8,4,6]=>{{1},{2},{3,4,7},{5},{6,8}}=>{{1},{2},{3,4,8},{5},{6,7}}
[2,5,8,7,1,6,3,4]=>[1,6,2,5,8,3,4,7]=>{{1},{2,3,6},{4,5,7,8}}=>{{1},{2,3,5,6},{4,7,8}}
[2,4,8,7,1,6,3,5]=>[1,6,2,4,8,3,5,7]=>{{1},{2,3,6},{4},{5,7,8}}=>{{1},{2,3,7,8},{4},{5,6}}
[1,5,8,2,7,6,4,3]=>[1,5,8,2,7,3,4,6]=>{{1},{2,4,5,7},{3,6,8}}=>{{1},{2,5,6,7},{3,4,8}}
[2,5,8,3,7,6,4,1]=>[1,2,5,8,3,7,4,6]=>{{1},{2},{3,5},{4,6,7,8}}=>{{1},{2},{3,6,7,8},{4,5}}
[1,4,2,8,7,6,5,3]=>[1,4,2,8,3,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[8,2,3,1,6,5,4,7]=>[1,6,2,3,4,7,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[5,2,8,7,1,6,3,4]=>[1,6,2,8,3,4,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,2,8,1,7,6,4,3]=>[1,7,2,8,3,4,5,6]=>{{1},{2,3,5,7},{4,6,8}}=>{{1},{2,3,8},{4,5,6,7}}
[6,8,2,3,7,5,4,1]=>[1,2,3,7,4,5,6,8]=>{{1},{2},{3},{4,5,6,7},{8}}=>{{1},{2},{3},{4,5,6,7},{8}}
[5,1,8,7,2,6,3,4]=>[1,8,2,6,3,4,5,7]=>{{1},{2,3,5,7,8},{4,6}}=>{{1},{2,3,7,8},{4,5,6}}
[8,4,1,6,2,5,3,7]=>[1,6,2,5,3,7,4,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[3,1,2,8,7,6,5,4]=>[1,2,8,3,4,5,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[4,1,3,8,7,6,5,2]=>[1,3,8,2,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[8,2,1,3,6,5,4,7]=>[1,3,6,2,4,7,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[1,4,3,6,8,2,5,7]=>[1,4,2,5,7,3,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[1,4,2,6,5,8,3,7]=>[1,4,2,6,3,7,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[1,5,4,2,6,8,3,7]=>[1,5,2,6,8,3,7,4]=>{{1},{2,3,4,5,6,8},{7}}=>{{1},{2,3,4,5,6,8},{7}}
[1,5,2,6,4,8,3,7]=>[1,5,2,6,3,7,4,8]=>{{1},{2,3,5},{4,6,7},{8}}=>{{1},{2,3,6,7},{4,5},{8}}
[1,2,5,4,7,3,8,6]=>[1,2,5,3,8,4,7,6]=>{{1},{2},{3,4,5,6,8},{7}}=>{{1},{2},{3,4,5,6,8},{7}}
[1,4,7,5,2,8,3,6]=>[1,4,7,2,8,3,6,5]=>{{1},{2,4},{3,6,7},{5,8}}=>{{1},{2,7},{3,4},{5,6,8}}
[7,1,3,5,2,8,4,6]=>[1,3,5,2,8,4,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[1,6,4,2,8,3,7,5]=>[1,6,2,8,3,7,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[1,4,2,8,3,7,6,5]=>[1,4,2,8,3,7,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,2,1,8,7,3,4,5]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,6,2,1,8,3,4,5]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,3,1,6,2,8,4,5]=>[1,6,2,8,3,4,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[1,7,6,4,2,8,3,5]=>[1,7,2,8,3,5,4,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[1,7,5,2,6,3,8,4]=>[1,7,2,6,3,8,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[1,6,2,7,5,3,8,4]=>[1,6,2,7,3,8,4,5]=>{{1},{2,3,5,6,8},{4,7}}=>{{1},{2,3,6,7},{4,5,8}}
[1,6,5,2,7,3,8,4]=>[1,6,2,7,3,8,4,5]=>{{1},{2,3,5,6,8},{4,7}}=>{{1},{2,3,6,7},{4,5,8}}
[4,3,7,1,8,2,5,6]=>[1,8,2,5,6,3,7,4]=>{{1},{2,3,4,5,6,8},{7}}=>{{1},{2,3,4,5,6,8},{7}}
[1,8,6,4,2,7,3,5]=>[1,8,2,7,3,5,4,6]=>{{1},{2,3,5,6,8},{4,7}}=>{{1},{2,3,6,7},{4,5,8}}
[1,6,2,7,3,8,5,4]=>[1,6,2,7,3,8,4,5]=>{{1},{2,3,5,6,8},{4,7}}=>{{1},{2,3,6,7},{4,5,8}}
[1,7,4,2,8,6,3,5]=>[1,7,2,8,3,5,4,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,1,8,3,2,6,4,5]=>[1,8,2,6,3,4,5,7]=>{{1},{2,3,5,7,8},{4,6}}=>{{1},{2,3,7,8},{4,5,6}}
[7,2,1,8,6,3,4,5]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[1,8,7,3,2,6,4,5]=>[1,8,2,6,3,4,5,7]=>{{1},{2,3,5,7,8},{4,6}}=>{{1},{2,3,7,8},{4,5,6}}
[1,4,2,8,7,6,3,5]=>[1,4,2,8,3,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[1,2,8,7,5,3,6,4]=>[1,2,8,3,6,4,5,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[7,4,1,5,2,6,3,8]=>[1,5,2,6,3,8,4,7]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[6,3,5,7,2,1,8,4]=>[1,8,2,3,5,7,4,6]=>{{1},{2,3,4,6,7,8},{5}}=>{{1},{2,3,4,6,7,8},{5}}
[6,4,5,8,3,7,2,1]=>[1,2,3,7,4,5,8,6]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[8,4,1,5,2,6,3,7]=>[1,5,2,6,3,7,4,8]=>{{1},{2,3,5},{4,6,7},{8}}=>{{1},{2,3,6,7},{4,5},{8}}
[2,8,6,7,1,3,5,4]=>[1,3,5,2,8,4,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,3,5,6,2,8,1,4]=>[1,4,2,8,3,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[8,7,5,6,1,4,2,3]=>[1,4,2,3,5,6,7,8]=>{{1},{2,3,4},{5},{6},{7},{8}}=>{{1},{2,3,4},{5},{6},{7},{8}}
[2,7,6,1,8,3,4,5]=>[1,8,2,7,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,7,6,1,4,3,5,8]=>[1,4,2,7,3,5,8,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,3,5,1,2,8,4,6]=>[1,2,8,3,5,4,6,7]=>{{1},{2},{3,4,6,7,8},{5}}=>{{1},{2},{3,4,6,7,8},{5}}
[2,8,6,1,7,3,4,5]=>[1,7,2,8,3,4,5,6]=>{{1},{2,3,5,7},{4,6,8}}=>{{1},{2,3,8},{4,5,6,7}}
[2,3,8,1,4,5,7,6]=>[1,4,5,7,2,3,8,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,6,2,3,1,8,7,4]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,6,2,1,3,8,7,4]=>[1,3,8,2,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,1,6,4,2,8,7,3]=>[1,6,2,8,3,4,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,6,1,3,2,8,7,4]=>[1,3,2,8,4,5,6,7]=>{{1},{2,3},{4,5,6,7,8}}=>{{1},{2,3},{4,5,6,7,8}}
[5,6,3,1,2,8,7,4]=>[1,2,8,3,4,5,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[5,7,3,2,8,1,6,4]=>[1,6,2,8,3,4,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,7,3,8,2,1,5,4]=>[1,5,2,3,8,4,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,7,3,8,1,2,5,4]=>[1,2,5,3,8,4,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[5,7,3,1,8,2,6,4]=>[1,8,2,6,3,4,5,7]=>{{1},{2,3,5,7,8},{4,6}}=>{{1},{2,3,7,8},{4,5,6}}
[5,1,7,4,8,2,6,3]=>[1,7,2,6,3,4,8,5]=>{{1},{2,3,5,7,8},{4,6}}=>{{1},{2,3,7,8},{4,5,6}}
[6,7,8,3,1,4,2,5]=>[1,4,2,5,3,6,7,8]=>{{1},{2,3,4,5},{6},{7},{8}}=>{{1},{2,3,4,5},{6},{7},{8}}
[6,1,7,8,4,5,2,3]=>[1,7,8,2,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[1,6,7,8,4,5,3,2]=>[1,6,7,8,2,3,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,7,2,8,1,3,5,4]=>[1,3,5,2,8,4,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,7,2,8,3,5,1,4]=>[1,4,2,8,3,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,2,7,8,4,1,5,3]=>[1,5,2,7,8,3,4,6]=>{{1},{2,3,5,6,8},{4,7}}=>{{1},{2,3,6,7},{4,5,8}}
[4,2,1,7,8,5,6,3]=>[1,7,8,2,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,1,2,7,8,6,5,3]=>[1,2,7,8,3,4,5,6]=>{{1},{2},{3,5,7},{4,6,8}}=>{{1},{2},{3,8},{4,5,6,7}}
[6,2,7,8,1,5,4,3]=>[1,5,2,7,8,3,4,6]=>{{1},{2,3,5,6,8},{4,7}}=>{{1},{2,3,6,7},{4,5,8}}
[6,2,7,8,5,1,4,3]=>[1,4,2,7,8,3,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,7,2,1,8,6,3,4]=>[1,8,2,3,4,5,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>{{1},{2,3,4,5,6,8},{7}}
[6,7,1,8,5,2,3,4]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,1,7,8,5,2,4,3]=>[1,7,8,2,4,3,5,6]=>{{1},{2,4,5,7},{3,6,8}}=>{{1},{2,5,6,7},{3,4,8}}
[1,6,7,8,5,3,4,2]=>[1,6,7,8,2,3,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,1,7,8,5,4,2,3]=>[1,7,8,2,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,7,8,4,1,3,2,5]=>[1,3,2,5,4,6,7,8]=>{{1},{2,3},{4,5},{6},{7},{8}}=>{{1},{2,3},{4,5},{6},{7},{8}}
[3,7,1,8,4,6,2,5]=>[1,8,2,5,3,7,4,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[1,5,2,8,6,7,3,4]=>[1,5,2,8,3,4,6,7]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[2,6,1,8,5,7,3,4]=>[1,8,2,6,3,4,5,7]=>{{1},{2,3,5,7,8},{4,6}}=>{{1},{2,3,7,8},{4,5,6}}
[1,6,2,8,5,7,3,4]=>[1,6,2,8,3,4,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[1,6,2,8,4,7,3,5]=>[1,6,2,8,3,5,4,7]=>{{1},{2,3,5,6},{4,7,8}}=>{{1},{2,3,6},{4,5,7,8}}
[2,6,1,8,4,7,3,5]=>[1,8,2,6,3,5,4,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,7,2,6,1,8,4,5]=>[1,8,2,6,3,7,4,5]=>{{1},{2,3,5,8},{4,6,7}}=>{{1},{2,3,7},{4,5,6,8}}
[5,8,1,6,2,7,3,4]=>[1,6,2,7,3,4,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[4,8,2,6,1,7,3,5]=>[1,7,2,6,3,5,4,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[8,6,1,4,3,2,5,7]=>[1,4,2,5,7,3,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[5,1,4,7,2,8,3,6]=>[1,4,7,2,8,3,6,5]=>{{1},{2,4},{3,6,7},{5,8}}=>{{1},{2,7},{3,4},{5,6,8}}
[4,1,5,8,2,7,3,6]=>[1,5,8,2,7,3,6,4]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[1,4,6,2,8,7,3,5]=>[1,4,6,2,8,3,5,7]=>{{1},{2,4},{3,6},{5,7,8}}=>{{1},{2,7,8},{3,4},{5,6}}
[1,4,2,8,6,7,3,5]=>[1,4,2,8,3,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,1,2,6,4,8,7,5]=>[1,2,6,3,4,8,5,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[1,4,2,7,6,8,3,5]=>[1,4,2,7,3,5,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[1,7,4,3,2,5,8,6]=>[1,7,2,5,8,3,4,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[1,8,7,3,4,2,5,6]=>[1,8,2,5,6,3,4,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[1,2,3,7,8,5,6,4]=>[1,2,3,7,8,4,5,6]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[1,2,3,7,5,8,6,4]=>[1,2,3,7,4,5,8,6]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[3,1,7,2,8,6,4,5]=>[1,7,2,8,3,4,5,6]=>{{1},{2,3,5,7},{4,6,8}}=>{{1},{2,3,8},{4,5,6,7}}
[1,2,3,8,7,5,6,4]=>[1,2,3,8,4,5,6,7]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[6,7,8,4,2,5,1,3]=>[1,3,2,5,4,6,7,8]=>{{1},{2,3},{4,5},{6},{7},{8}}=>{{1},{2,3},{4,5},{6},{7},{8}}
[6,7,8,3,2,1,5,4]=>[1,5,2,3,4,6,7,8]=>{{1},{2,3,4,5},{6},{7},{8}}=>{{1},{2,3,4,5},{6},{7},{8}}
[4,6,3,7,2,1,5,8]=>[1,5,8,2,3,7,4,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,5,3,2,7,1,6,8]=>[1,6,8,2,7,3,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,4,3,2,1,8,5,6]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,4,3,2,1,8,6,5]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,5,3,2,8,1,6,4]=>[1,6,2,8,3,4,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[8,5,4,2,7,6,1,3]=>[1,3,2,7,4,5,6,8]=>{{1},{2,3},{4,5,6,7},{8}}=>{{1},{2,3},{4,5,6,7},{8}}
[7,5,4,2,8,6,1,3]=>[1,3,2,8,4,5,6,7]=>{{1},{2,3},{4,5,6,7,8}}=>{{1},{2,3},{4,5,6,7,8}}
[3,5,4,2,6,8,1,7]=>[1,7,2,6,8,3,5,4]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,2,6,4,8,5,1,7]=>[1,7,2,6,3,4,8,5]=>{{1},{2,3,5,7,8},{4,6}}=>{{1},{2,3,7,8},{4,5,6}}
[3,2,5,8,4,6,1,7]=>[1,7,2,5,8,3,4,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,3,2,7,5,1,6,8]=>[1,6,8,2,7,3,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,3,6,2,5,1,7,8]=>[1,7,8,2,5,3,6,4]=>{{1},{2,3,4,6,7,8},{5}}=>{{1},{2,3,4,6,7,8},{5}}
[4,6,7,1,3,2,5,8]=>[1,3,2,5,8,4,6,7]=>{{1},{2,3},{4,5,6,7,8}}=>{{1},{2,3},{4,5,6,7,8}}
[4,5,1,3,7,2,6,8]=>[1,3,7,2,6,8,4,5]=>{{1},{2,3,4,7},{5,6,8}}=>{{1},{2,3,4,6,7},{5,8}}
[3,5,1,4,2,7,6,8]=>[1,4,2,7,3,5,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[5,3,1,4,2,7,6,8]=>[1,4,2,7,3,5,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[5,3,6,4,1,2,7,8]=>[1,2,7,8,3,6,4,5]=>{{1},{2},{3,4,5,7,8},{6}}=>{{1},{2},{3,4,5,7,8},{6}}
[6,3,4,1,2,7,5,8]=>[1,2,7,3,4,5,8,6]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[4,6,3,1,7,2,5,8]=>[1,7,2,5,8,3,4,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,5,2,7,3,1,6,8]=>[1,6,8,2,7,3,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,4,1,5,6,2,3,8]=>[1,5,6,2,3,8,4,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,2,1,5,3,6,8,4]=>[1,5,2,3,6,8,4,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,3,5,1,2,7,4,8]=>[1,2,7,3,5,4,8,6]=>{{1},{2},{3,4,6,7,8},{5}}=>{{1},{2},{3,4,6,7,8},{5}}
[3,6,5,1,2,7,4,8]=>[1,2,7,3,6,4,8,5]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[2,4,1,5,3,8,7,6]=>[1,5,2,4,3,8,6,7]=>{{1},{2,3,5},{4},{6,7,8}}=>{{1},{2,3,5},{4},{6,7,8}}
[3,4,5,1,2,8,7,6]=>[1,2,8,3,4,5,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[1,8,4,5,3,2,7,6]=>[1,8,2,7,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,4,5,2,8,1,7,6]=>[1,7,2,8,3,4,5,6]=>{{1},{2,3,5,7},{4,6,8}}=>{{1},{2,3,8},{4,5,6,7}}
[3,4,6,2,8,7,1,5]=>[1,5,2,8,3,4,6,7]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[3,4,6,8,2,7,1,5]=>[1,5,2,7,3,4,6,8]=>{{1},{2,3,5},{4,6,7},{8}}=>{{1},{2,3,6,7},{4,5},{8}}
[1,8,4,6,3,7,2,5]=>[1,8,2,5,3,7,4,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,5,6,7,2,8,3,1]=>[1,2,8,3,4,5,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[2,5,8,6,7,3,4,1]=>[1,2,5,8,3,4,6,7]=>{{1},{2},{3,5},{4,6,7,8}}=>{{1},{2},{3,6,7,8},{4,5}}
[4,5,6,7,2,1,8,3]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,4,6,1,8,7,2,5]=>[1,8,2,5,3,4,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,4,1,6,8,7,3,5]=>[1,6,8,2,4,3,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,5,8,6,7,1,4,3]=>[1,4,2,5,8,3,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,5,6,7,1,3,8,2]=>[1,3,8,2,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,5,6,8,7,4,1,2]=>[1,2,3,5,6,8,4,7]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[2,5,8,6,7,4,1,3]=>[1,3,2,5,8,4,6,7]=>{{1},{2,3},{4,5,6,7,8}}=>{{1},{2,3},{4,5,6,7,8}}
[1,8,5,6,7,4,2,3]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[1,8,5,6,7,4,3,2]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,5,8,6,7,4,3,1]=>[1,2,5,8,3,4,6,7]=>{{1},{2},{3,5},{4,6,7,8}}=>{{1},{2},{3,6,7,8},{4,5}}
[4,2,5,6,1,8,3,7]=>[1,8,2,5,6,3,7,4]=>{{1},{2,3,4,5,6,8},{7}}=>{{1},{2,3,4,5,6,8},{7}}
[3,2,5,1,8,4,6,7]=>[1,8,2,5,3,4,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,7,6,1,8,3,4,2]=>[1,8,2,3,4,5,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>{{1},{2,3,4,5,6,8},{7}}
[3,2,5,1,8,7,4,6]=>[1,8,2,5,3,4,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,2,5,1,6,8,7,4]=>[1,6,8,2,5,3,4,7]=>{{1},{2,3,4,6,7,8},{5}}=>{{1},{2,3,4,6,7,8},{5}}
[6,5,1,7,8,4,2,3]=>[1,7,8,2,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,2,4,1,6,8,5,7]=>[1,6,8,2,4,3,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,2,6,1,8,3,7,4]=>[1,8,2,6,3,7,4,5]=>{{1},{2,3,5,8},{4,6,7}}=>{{1},{2,3,7},{4,5,6,8}}
[5,2,6,1,8,4,7,3]=>[1,8,2,6,3,4,7,5]=>{{1},{2,3,5,8},{4,6},{7}}=>{{1},{2,3,8},{4,5,6},{7}}
[3,2,5,1,7,6,4,8]=>[1,7,2,5,3,4,8,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,6,8,5,1,7,4,2]=>[1,7,2,3,6,8,4,5]=>{{1},{2,3,4,7},{5,6,8}}=>{{1},{2,3,4,6,7},{5,8}}
[3,2,5,1,8,6,7,4]=>[1,8,2,5,3,4,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,2,5,1,8,7,6,4]=>[1,8,2,5,3,4,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,2,6,1,7,5,3,8]=>[1,7,2,6,3,8,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,4,7,8,3,1,6,2]=>[1,6,2,3,4,7,8,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,4,1,7,5,3,8,6]=>[1,7,2,4,3,8,5,6]=>{{1},{2,3,5,7},{4},{6,8}}=>{{1},{2,3,5,8},{4},{6,7}}
[2,6,4,1,8,5,3,7]=>[1,8,2,6,3,7,4,5]=>{{1},{2,3,5,8},{4,6,7}}=>{{1},{2,3,7},{4,5,6,8}}
[3,2,5,6,1,8,4,7]=>[1,8,2,5,6,3,4,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,5,2,8,1,6,4,7]=>[1,6,2,8,3,5,4,7]=>{{1},{2,3,5,6},{4,7,8}}=>{{1},{2,3,6},{4,5,7,8}}
[3,2,7,1,5,4,8,6]=>[1,5,2,7,3,4,8,6]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[3,2,7,1,5,8,6,4]=>[1,5,8,2,7,3,4,6]=>{{1},{2,4,5,7},{3,6,8}}=>{{1},{2,5,6,7},{3,4,8}}
[4,8,3,2,6,7,1,5]=>[1,5,2,6,7,3,4,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[4,3,7,8,2,6,1,5]=>[1,5,2,6,3,7,8,4]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[6,3,2,7,1,5,4,8]=>[1,5,2,7,3,4,8,6]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[6,3,2,7,1,5,8,4]=>[1,5,8,2,7,3,4,6]=>{{1},{2,4,5,7},{3,6,8}}=>{{1},{2,5,6,7},{3,4,8}}
[6,3,2,7,8,1,5,4]=>[1,5,2,7,8,3,4,6]=>{{1},{2,3,5,6,8},{4,7}}=>{{1},{2,3,6,7},{4,5,8}}
[6,5,2,1,7,8,4,3]=>[1,7,8,2,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,2,3,1,5,4,8,7]=>[1,5,2,3,4,8,6,7]=>{{1},{2,3,4,5},{6,7,8}}=>{{1},{2,3,4,5},{6,7,8}}
[8,2,5,3,4,1,7,6]=>[1,7,2,5,3,4,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[6,2,5,3,4,1,8,7]=>[1,8,2,5,3,4,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,4,5,1,3,2,8,7]=>[1,3,2,8,4,5,6,7]=>{{1},{2,3},{4,5,6,7,8}}=>{{1},{2,3},{4,5,6,7,8}}
[6,1,5,3,4,2,8,7]=>[1,5,2,8,3,4,6,7]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[8,3,5,1,4,2,7,6]=>[1,4,2,7,3,5,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[8,4,5,1,3,2,7,6]=>[1,3,2,7,4,5,6,8]=>{{1},{2,3},{4,5,6,7},{8}}=>{{1},{2,3},{4,5,6,7},{8}}
[8,2,7,3,4,1,6,5]=>[1,6,2,7,3,4,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[8,4,7,2,3,1,6,5]=>[1,6,2,3,4,7,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[8,2,3,1,5,4,7,6]=>[1,5,2,3,4,7,6,8]=>{{1},{2,3,4,5},{6,7},{8}}=>{{1},{2,3,4,5},{6,7},{8}}
[4,2,3,1,8,5,7,6]=>[1,8,2,3,4,5,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>{{1},{2,3,4,5,6,8},{7}}
[8,6,7,1,3,2,5,4]=>[1,3,2,5,4,6,7,8]=>{{1},{2,3},{4,5},{6},{7},{8}}=>{{1},{2,3},{4,5},{6},{7},{8}}
[8,1,3,2,7,5,6,4]=>[1,3,2,7,4,5,6,8]=>{{1},{2,3},{4,5,6,7},{8}}=>{{1},{2,3},{4,5,6,7},{8}}
[2,1,8,5,7,3,6,4]=>[1,8,2,3,6,4,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,5,8,6,3,2,7,1]=>[1,2,7,3,4,5,8,6]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[6,7,2,8,4,1,5,3]=>[1,5,2,8,3,4,6,7]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[3,6,2,8,4,5,7,1]=>[1,2,8,3,6,4,5,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[2,6,1,8,4,5,7,3]=>[1,8,2,6,3,4,5,7]=>{{1},{2,3,5,7,8},{4,6}}=>{{1},{2,3,7,8},{4,5,6}}
[2,8,4,6,1,5,7,3]=>[1,5,7,2,8,3,4,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,3,1,8,4,5,7,2]=>[1,8,2,3,4,5,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>{{1},{2,3,4,5,6,8},{7}}
[3,6,7,8,4,2,5,1]=>[1,2,5,3,6,7,8,4]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[7,6,1,8,4,2,5,3]=>[1,8,2,5,3,4,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,8,3,7,1,6,5,4]=>[1,6,2,8,3,7,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,2,7,8,4,6,5,1]=>[1,2,7,8,3,4,6,5]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[1,2,7,8,5,4,6,3]=>[1,2,7,8,3,4,6,5]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[7,2,5,8,3,4,6,1]=>[1,2,5,8,3,4,6,7]=>{{1},{2},{3,5},{4,6,7,8}}=>{{1},{2},{3,6,7,8},{4,5}}
[6,2,8,5,4,3,1,7]=>[1,7,2,8,3,4,5,6]=>{{1},{2,3,5,7},{4,6,8}}=>{{1},{2,3,8},{4,5,6,7}}
[4,3,1,2,8,5,6,7]=>[1,2,8,3,4,5,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[5,6,8,4,1,3,2,7]=>[1,3,2,7,4,5,6,8]=>{{1},{2,3},{4,5,6,7},{8}}=>{{1},{2,3},{4,5,6,7},{8}}
[4,6,8,1,5,3,2,7]=>[1,5,2,7,3,4,6,8]=>{{1},{2,3,5},{4,6,7},{8}}=>{{1},{2,3,6,7},{4,5},{8}}
[1,6,8,4,5,3,2,7]=>[1,6,8,2,7,3,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,8,7,4,1,6,5,3]=>[1,6,2,8,3,4,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[1,4,3,2,8,5,6,7]=>[1,4,2,8,3,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,4,8,2,5,3,1,7]=>[1,7,2,5,3,4,8,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,2,8,4,5,3,1,7]=>[1,7,2,8,3,4,5,6]=>{{1},{2,3,5,7},{4,6,8}}=>{{1},{2,3,8},{4,5,6,7}}
[4,2,3,1,8,5,6,7]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,8,1,5,3,4,7,6]=>[1,5,2,8,3,4,7,6]=>{{1},{2,3,5},{4,6,8},{7}}=>{{1},{2,3,6,8},{4,5},{7}}
[1,2,5,4,3,8,6,7]=>[1,2,5,3,8,4,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[1,5,2,7,8,4,3,6]=>[1,5,2,7,8,3,6,4]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,1,2,7,4,8,3,6]=>[1,2,7,3,6,4,8,5]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[1,2,8,5,7,4,3,6]=>[1,2,8,3,6,4,5,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[2,8,1,4,3,7,6,5]=>[1,4,2,8,3,7,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,6,1,4,2,8,3,5]=>[1,4,2,8,3,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,1,6,2,8,4,3,5]=>[1,6,2,8,3,5,4,7]=>{{1},{2,3,5,6},{4,7,8}}=>{{1},{2,3,6},{4,5,7,8}}
[1,2,7,3,5,8,4,6]=>[1,2,7,3,5,8,4,6]=>{{1},{2},{3,4,7},{5},{6,8}}=>{{1},{2},{3,4,8},{5},{6,7}}
[1,2,5,8,7,3,4,6]=>[1,2,5,8,3,4,6,7]=>{{1},{2},{3,5},{4,6,7,8}}=>{{1},{2},{3,6,7,8},{4,5}}
[7,1,2,8,4,3,6,5]=>[1,2,8,3,6,4,5,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[1,2,8,4,7,5,3,6]=>[1,2,8,3,6,4,7,5]=>{{1},{2},{3,4,5,6,8},{7}}=>{{1},{2},{3,4,5,6,8},{7}}
[1,2,8,7,4,5,3,6]=>[1,2,8,3,6,4,5,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[8,6,1,4,2,7,3,5]=>[1,4,2,7,3,5,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[7,1,2,8,6,4,3,5]=>[1,2,8,3,5,4,6,7]=>{{1},{2},{3,4,6,7,8},{5}}=>{{1},{2},{3,4,6,7,8},{5}}
[3,7,4,8,1,6,2,5]=>[1,6,2,5,3,7,4,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[4,2,8,1,7,6,3,5]=>[1,7,2,8,3,5,4,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,8,1,7,6,4,3,5]=>[1,7,2,8,3,5,4,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,8,3,4,1,7,2,5]=>[1,7,2,5,3,4,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[5,7,3,4,1,8,2,6]=>[1,8,2,6,3,4,5,7]=>{{1},{2,3,5,7,8},{4,6}}=>{{1},{2,3,7,8},{4,5,6}}
[4,7,3,5,1,6,2,8]=>[1,6,2,8,3,5,4,7]=>{{1},{2,3,5,6},{4,7,8}}=>{{1},{2,3,6},{4,5,7,8}}
[4,8,3,5,1,7,2,6]=>[1,7,2,6,3,5,4,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[4,7,3,5,1,8,2,6]=>[1,8,2,6,3,5,4,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,6,2,4,1,7,3,8]=>[1,7,2,4,3,8,5,6]=>{{1},{2,3,5,7},{4},{6,8}}=>{{1},{2,3,5,8},{4},{6,7}}
[4,6,2,5,1,8,3,7]=>[1,8,2,5,3,7,4,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,5,1,8,3,7,2,6]=>[1,8,2,6,3,7,4,5]=>{{1},{2,3,5,8},{4,6,7}}=>{{1},{2,3,7},{4,5,6,8}}
[5,6,2,8,4,7,1,3]=>[1,3,2,8,4,7,5,6]=>{{1},{2,3},{4,5,6,7,8}}=>{{1},{2,3},{4,5,6,7,8}}
[5,6,2,8,3,7,1,4]=>[1,4,2,8,3,7,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,6,2,8,3,7,1,5]=>[1,5,2,8,3,7,4,6]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[4,8,3,6,1,2,7,5]=>[1,2,7,3,6,4,8,5]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[3,8,7,4,1,6,2,5]=>[1,6,2,5,3,8,4,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,1,8,4,5,7,2,3]=>[1,8,2,3,4,5,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>{{1},{2,3,4,5,6,8},{7}}
[6,7,2,3,5,4,8,1]=>[1,2,3,5,4,8,6,7]=>{{1},{2},{3},{4,5},{6,7,8}}=>{{1},{2},{3},{4,5},{6,7,8}}
[5,2,7,3,6,4,8,1]=>[1,2,7,3,6,4,8,5]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[8,3,4,7,6,1,5,2]=>[1,5,2,3,4,7,6,8]=>{{1},{2,3,4,5},{6,7},{8}}=>{{1},{2,3,4,5},{6,7},{8}}
[5,1,7,3,6,8,4,2]=>[1,7,2,3,6,8,4,5]=>{{1},{2,3,4,7},{5,6,8}}=>{{1},{2,3,4,6,7},{5,8}}
[6,7,1,3,5,8,4,2]=>[1,3,5,8,2,4,6,7]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[4,8,3,7,6,1,5,2]=>[1,5,2,3,7,4,8,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[8,1,3,2,7,6,5,4]=>[1,3,2,7,4,5,6,8]=>{{1},{2,3},{4,5,6,7},{8}}=>{{1},{2,3},{4,5,6,7},{8}}
[2,8,3,1,7,6,5,4]=>[1,7,2,8,3,4,5,6]=>{{1},{2,3,5,7},{4,6,8}}=>{{1},{2,3,8},{4,5,6,7}}
[6,7,1,2,8,5,4,3]=>[1,2,8,3,4,5,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[1,4,2,7,8,6,5,3]=>[1,4,2,7,8,3,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[8,4,2,7,1,6,5,3]=>[1,6,2,7,3,4,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[1,5,7,2,8,6,4,3]=>[1,5,7,2,8,3,4,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,5,7,1,6,8,4,2]=>[1,6,8,2,3,5,7,4]=>{{1},{2,3,4,5,6,8},{7}}=>{{1},{2,3,4,5,6,8},{7}}
[6,7,2,8,1,5,4,3]=>[1,5,2,8,3,4,6,7]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[4,2,8,7,1,6,5,3]=>[1,6,2,8,3,4,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,7,1,8,2,5,4,3]=>[1,8,2,5,3,4,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,8,1,7,2,6,5,3]=>[1,7,2,6,3,4,8,5]=>{{1},{2,3,5,7,8},{4,6}}=>{{1},{2,3,7,8},{4,5,6}}
[2,7,1,5,8,3,6,4]=>[1,5,8,2,7,3,6,4]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,6,5,1,8,3,7,4]=>[1,8,2,6,3,7,4,5]=>{{1},{2,3,5,8},{4,6,7}}=>{{1},{2,3,7},{4,5,6,8}}
[5,6,4,1,8,7,2,3]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[8,1,4,5,7,6,2,3]=>[1,4,5,7,2,3,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[6,4,5,1,8,7,2,3]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,5,6,1,8,3,7,4]=>[1,8,2,5,6,3,7,4]=>{{1},{2,3,4,5,6,8},{7}}=>{{1},{2,3,4,5,6,8},{7}}
[6,2,5,1,8,3,7,4]=>[1,8,2,5,3,7,4,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,2,6,1,3,8,7,5]=>[1,3,8,2,6,4,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,2,5,3,1,8,7,6]=>[1,8,2,5,3,4,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,2,4,1,3,8,7,5]=>[1,3,8,2,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,2,1,4,3,8,6,5]=>[1,4,2,3,8,5,6,7]=>{{1},{2,3,4},{5,6,7,8}}=>{{1},{2,3,4},{5,6,7,8}}
[7,3,1,4,2,8,6,5]=>[1,4,2,8,3,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,6,4,1,3,8,7,5]=>[1,3,8,2,6,4,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[8,1,6,7,2,3,5,4]=>[1,6,7,2,3,5,4,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[4,7,1,2,3,8,6,5]=>[1,2,3,8,4,7,5,6]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[7,4,1,2,3,8,6,5]=>[1,2,3,8,4,5,6,7]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[5,4,2,3,1,8,7,6]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,3,1,2,4,8,6,5]=>[1,2,4,8,3,5,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[7,2,1,3,4,8,6,5]=>[1,3,4,8,2,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,2,6,5,3,1,8,7]=>[1,8,2,6,3,4,5,7]=>{{1},{2,3,5,7,8},{4,6}}=>{{1},{2,3,7,8},{4,5,6}}
[4,2,6,5,1,3,8,7]=>[1,3,8,2,6,4,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,2,6,5,8,1,3,7]=>[1,3,7,2,6,4,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[4,2,6,8,5,3,7,1]=>[1,2,6,8,3,7,4,5]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[2,4,1,6,8,5,7,3]=>[1,6,8,2,4,3,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,4,6,3,8,5,7,1]=>[1,2,4,6,3,8,5,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[2,4,3,6,8,5,7,1]=>[1,2,4,3,6,8,5,7]=>{{1},{2},{3,4},{5,6,7,8}}=>{{1},{2},{3,4},{5,6,7,8}}
[2,4,3,1,6,8,5,7]=>[1,6,8,2,4,3,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,6,2,5,8,7,1,3]=>[1,3,2,5,8,4,6,7]=>{{1},{2,3},{4,5,6,7,8}}=>{{1},{2,3},{4,5,6,7,8}}
[4,6,2,5,8,7,3,1]=>[1,2,5,8,3,4,6,7]=>{{1},{2},{3,5},{4,6,7,8}}=>{{1},{2},{3,6,7,8},{4,5}}
[2,4,1,6,8,3,7,5]=>[1,6,8,2,4,3,7,5]=>{{1},{2,3,4,5,6,8},{7}}=>{{1},{2,3,4,5,6,8},{7}}
[6,2,4,8,7,1,3,5]=>[1,3,5,2,4,8,6,7]=>{{1},{2,3,4,5},{6,7,8}}=>{{1},{2,3,4,5},{6,7,8}}
[2,6,4,8,1,7,5,3]=>[1,7,2,6,3,4,8,5]=>{{1},{2,3,5,7,8},{4,6}}=>{{1},{2,3,7,8},{4,5,6}}
[2,6,4,1,8,7,5,3]=>[1,8,2,6,3,4,5,7]=>{{1},{2,3,5,7,8},{4,6}}=>{{1},{2,3,7,8},{4,5,6}}
[2,6,4,1,8,7,3,5]=>[1,8,2,6,3,5,4,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,6,4,8,1,7,3,5]=>[1,7,2,6,3,5,4,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[6,2,4,8,7,3,5,1]=>[1,2,4,8,3,5,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[1,3,7,4,5,8,2,6]=>[1,3,7,2,6,4,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[1,7,6,3,4,8,2,5]=>[1,7,2,5,3,4,8,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,1,7,3,4,8,2,5]=>[1,7,2,5,3,4,8,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,7,1,3,8,2,4,5]=>[1,3,8,2,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[1,5,3,2,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[4,3,2,8,7,1,5,6]=>[1,5,6,2,8,3,4,7]=>{{1},{2,4,5,7,8},{3,6}}=>{{1},{2,5,6},{3,4,7,8}}
[5,2,4,8,7,1,3,6]=>[1,3,6,2,4,8,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,7,2,1,5,4,8,6]=>[1,5,2,3,7,4,8,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,8,2,1,5,4,7,6]=>[1,5,2,3,8,4,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>{{1},{2,3,4,5,6,8},{7}}
[8,3,2,1,5,4,6,7]=>[1,5,2,3,4,6,7,8]=>{{1},{2,3,4,5},{6},{7},{8}}=>{{1},{2,3,4,5},{6},{7},{8}}
[8,4,2,5,1,6,3,7]=>[1,6,2,5,3,7,4,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[3,8,2,1,4,5,7,6]=>[1,4,5,7,2,3,8,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,2,8,1,4,6,7,5]=>[1,4,6,7,2,8,3,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,7,2,1,5,8,4,6]=>[1,5,8,2,3,7,4,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,2,7,6,1,8,3,5]=>[1,8,2,7,3,5,4,6]=>{{1},{2,3,5,6,8},{4,7}}=>{{1},{2,3,6,7},{4,5,8}}
[4,3,8,6,7,1,2,5]=>[1,2,5,3,8,4,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[3,2,7,1,6,4,8,5]=>[1,6,2,7,3,4,8,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,2,8,6,1,3,7,5]=>[1,3,7,2,8,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,2,6,8,1,3,7,5]=>[1,3,7,2,6,8,4,5]=>{{1},{2,3,4,7},{5,6,8}}=>{{1},{2,3,4,6,7},{5,8}}
[4,2,6,7,1,3,8,5]=>[1,3,8,2,6,7,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,2,6,1,8,4,7,5]=>[1,8,2,6,3,4,7,5]=>{{1},{2,3,5,8},{4,6},{7}}=>{{1},{2,3,8},{4,5,6},{7}}
[3,2,7,1,8,6,4,5]=>[1,8,2,7,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,2,6,1,8,7,4,5]=>[1,8,2,6,3,4,5,7]=>{{1},{2,3,5,7,8},{4,6}}=>{{1},{2,3,7,8},{4,5,6}}
[4,2,6,8,1,7,3,5]=>[1,7,2,6,8,3,5,4]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,3,6,4,8,7,1,2]=>[1,2,3,6,4,8,5,7]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[1,8,2,5,7,3,6,4]=>[1,8,2,5,7,3,6,4]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,2,1,5,4,8,7,3]=>[1,5,2,3,4,8,6,7]=>{{1},{2,3,4,5},{6,7,8}}=>{{1},{2,3,4,5},{6,7,8}}
[4,1,6,2,8,7,5,3]=>[1,6,2,8,3,4,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,5,1,6,4,3,2,8]=>[1,6,2,8,3,4,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,1,5,7,4,3,2,8]=>[1,5,7,2,8,3,4,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[1,5,8,6,4,3,2,7]=>[1,5,8,2,7,3,4,6]=>{{1},{2,4,5,7},{3,6,8}}=>{{1},{2,5,6,7},{3,4,8}}
[1,6,8,7,4,3,2,5]=>[1,6,8,2,5,3,4,7]=>{{1},{2,3,4,6,7,8},{5}}=>{{1},{2,3,4,6,7,8},{5}}
[6,8,1,7,4,3,2,5]=>[1,7,2,5,3,4,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[5,6,1,7,4,3,2,8]=>[1,7,2,8,3,4,5,6]=>{{1},{2,3,5,7},{4,6,8}}=>{{1},{2,3,8},{4,5,6,7}}
[5,1,7,6,4,3,2,8]=>[1,7,2,8,3,4,5,6]=>{{1},{2,3,5,7},{4,6,8}}=>{{1},{2,3,8},{4,5,6,7}}
[7,1,8,6,4,3,2,5]=>[1,8,2,5,3,4,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,8,3,5,4,1,7,6]=>[1,7,2,8,3,5,4,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,1,8,7,4,3,2,6]=>[1,8,2,6,3,4,5,7]=>{{1},{2,3,5,7,8},{4,6}}=>{{1},{2,3,7,8},{4,5,6}}
[6,5,1,8,4,3,2,7]=>[1,8,2,7,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,8,4,6,1,3,2,5]=>[1,3,2,5,4,6,7,8]=>{{1},{2,3},{4,5},{6},{7},{8}}=>{{1},{2,3},{4,5},{6},{7},{8}}
[1,6,5,8,4,3,2,7]=>[1,6,2,7,3,4,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[6,8,5,1,4,3,2,7]=>[1,4,2,7,3,5,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[3,6,2,5,4,1,7,8]=>[1,7,8,2,5,3,6,4]=>{{1},{2,3,4,6,7,8},{5}}=>{{1},{2,3,4,6,7,8},{5}}
[6,1,2,5,4,7,8,3]=>[1,2,5,3,4,7,8,6]=>{{1},{2},{3,4,5},{6,7,8}}=>{{1},{2},{3,4,5},{6,7,8}}
[4,2,8,5,1,3,7,6]=>[1,3,7,2,8,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[1,6,7,4,8,3,5,2]=>[1,6,7,2,3,5,4,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[4,6,7,2,5,8,1,3]=>[1,3,2,5,8,4,6,7]=>{{1},{2,3},{4,5,6,7,8}}=>{{1},{2,3},{4,5,6,7,8}}
[2,7,5,4,1,6,3,8]=>[1,6,2,7,3,8,4,5]=>{{1},{2,3,5,6,8},{4,7}}=>{{1},{2,3,6,7},{4,5,8}}
[5,6,3,2,7,1,8,4]=>[1,8,2,7,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[8,5,6,3,2,7,1,4]=>[1,4,2,7,3,5,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[2,4,1,7,8,5,3,6]=>[1,7,8,2,4,3,6,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,3,2,8,5,1,6,4]=>[1,6,2,8,3,4,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,3,7,2,5,1,8,4]=>[1,8,2,5,3,7,4,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,7,8,3,5,2,1,4]=>[1,4,2,3,5,6,7,8]=>{{1},{2,3,4},{5},{6},{7},{8}}=>{{1},{2,3,4},{5},{6},{7},{8}}
[2,4,1,7,8,3,6,5]=>[1,7,8,2,4,3,6,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,6,8,2,1,7,4,5]=>[1,7,2,3,6,8,4,5]=>{{1},{2,3,4,7},{5,6,8}}=>{{1},{2,3,4,6,7},{5,8}}
[3,5,2,1,4,6,8,7]=>[1,4,6,8,2,3,5,7]=>{{1},{2,4,5,7,8},{3,6}}=>{{1},{2,5,6},{3,4,7,8}}
[2,7,6,5,1,8,3,4]=>[1,8,2,7,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,7,6,5,1,8,4,3]=>[1,8,2,7,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,3,5,1,8,4,2,6]=>[1,8,2,6,3,5,4,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,7,6,1,5,8,4,3]=>[1,5,8,2,7,3,4,6]=>{{1},{2,4,5,7},{3,6,8}}=>{{1},{2,5,6,7},{3,4,8}}
[2,7,6,4,1,8,5,3]=>[1,8,2,7,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,7,6,4,1,8,3,5]=>[1,8,2,7,3,5,4,6]=>{{1},{2,3,5,6,8},{4,7}}=>{{1},{2,3,6,7},{4,5,8}}
[2,3,4,8,7,6,1,5]=>[1,5,2,3,4,8,6,7]=>{{1},{2,3,4,5},{6,7,8}}=>{{1},{2,3,4,5},{6,7,8}}
[2,3,4,8,5,7,1,6]=>[1,6,2,3,4,8,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,4,3,5,8,7,2,1]=>[1,2,3,5,8,4,6,7]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[6,4,3,5,8,7,1,2]=>[1,2,3,5,8,4,6,7]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[2,3,4,8,7,5,1,6]=>[1,6,2,3,4,8,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,4,1,5,8,3,7,2]=>[1,5,8,2,3,7,4,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,4,1,5,8,3,2,7]=>[1,5,8,2,7,3,4,6]=>{{1},{2,4,5,7},{3,6,8}}=>{{1},{2,5,6,7},{3,4,8}}
[5,7,3,6,1,8,4,2]=>[1,8,2,3,6,4,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,3,5,4,8,6,2,1]=>[1,2,3,5,4,8,6,7]=>{{1},{2},{3},{4,5},{6,7,8}}=>{{1},{2},{3},{4,5},{6,7,8}}
[2,3,4,8,7,1,6,5]=>[1,6,2,3,4,8,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,3,5,4,8,2,1,7]=>[1,7,2,3,5,4,8,6]=>{{1},{2,3,4,6,7,8},{5}}=>{{1},{2,3,4,6,7,8},{5}}
[1,3,8,5,7,6,2,4]=>[1,3,8,2,4,5,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>{{1},{2,3,4,5,6,8},{7}}
[7,2,5,8,1,6,4,3]=>[1,6,2,5,8,3,4,7]=>{{1},{2,3,6},{4,5,7,8}}=>{{1},{2,3,5,6},{4,7,8}}
[5,2,8,6,1,7,3,4]=>[1,7,2,8,3,4,5,6]=>{{1},{2,3,5,7},{4,6,8}}=>{{1},{2,3,8},{4,5,6,7}}
[1,2,8,6,5,7,3,4]=>[1,2,8,3,4,5,7,6]=>{{1},{2},{3,4,5,6,8},{7}}=>{{1},{2},{3,4,5,6,8},{7}}
[7,2,6,5,4,1,8,3]=>[1,8,2,6,3,4,5,7]=>{{1},{2,3,5,7,8},{4,6}}=>{{1},{2,3,7,8},{4,5,6}}
[6,1,5,3,4,7,8,2]=>[1,5,2,3,4,7,8,6]=>{{1},{2,3,4,5},{6,7,8}}=>{{1},{2,3,4,5},{6,7,8}}
[8,5,2,6,3,7,1,4]=>[1,4,2,6,3,7,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[3,5,8,6,2,7,1,4]=>[1,4,2,7,3,5,8,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[1,7,6,5,4,2,8,3]=>[1,7,2,8,3,4,5,6]=>{{1},{2,3,5,7},{4,6,8}}=>{{1},{2,3,8},{4,5,6,7}}
[5,7,6,4,1,2,8,3]=>[1,2,8,3,4,5,7,6]=>{{1},{2},{3,4,5,6,8},{7}}=>{{1},{2},{3,4,5,6,8},{7}}
[4,7,6,1,5,2,8,3]=>[1,5,2,8,3,4,7,6]=>{{1},{2,3,5},{4,6,8},{7}}=>{{1},{2,3,6,8},{4,5},{7}}
[1,7,6,4,5,2,8,3]=>[1,7,2,8,3,4,5,6]=>{{1},{2,3,5,7},{4,6,8}}=>{{1},{2,3,8},{4,5,6,7}}
[8,1,3,5,7,6,2,4]=>[1,3,5,7,2,4,6,8]=>{{1},{2,3,5},{4,6,7},{8}}=>{{1},{2,3,6,7},{4,5},{8}}
[7,5,6,4,2,1,8,3]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,4,6,2,5,1,8,3]=>[1,8,2,5,3,4,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,2,6,4,5,1,8,3]=>[1,8,2,6,3,4,5,7]=>{{1},{2,3,5,7,8},{4,6}}=>{{1},{2,3,7,8},{4,5,6}}
[4,8,7,2,6,5,3,1]=>[1,2,6,3,4,8,5,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[4,8,7,3,1,6,5,2]=>[1,6,2,3,4,8,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,8,7,3,2,6,5,1]=>[1,2,6,3,4,8,5,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[5,8,7,6,3,4,2,1]=>[1,2,3,4,5,8,6,7]=>{{1},{2},{3},{4},{5},{6,7,8}}=>{{1},{2},{3},{4},{5},{6,7,8}}
[5,8,7,6,4,3,1,2]=>[1,2,3,4,5,8,6,7]=>{{1},{2},{3},{4},{5},{6,7,8}}=>{{1},{2},{3},{4},{5},{6,7,8}}
[7,3,5,2,6,4,1,8]=>[1,8,2,6,3,5,4,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,2,1,5,6,4,3,8]=>[1,5,6,2,3,8,4,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,3,5,1,6,4,2,8]=>[1,6,2,8,3,5,4,7]=>{{1},{2,3,5,6},{4,7,8}}=>{{1},{2,3,6},{4,5,7,8}}
[7,4,5,6,1,3,2,8]=>[1,3,2,8,4,5,6,7]=>{{1},{2,3},{4,5,6,7,8}}=>{{1},{2,3},{4,5,6,7,8}}
[6,4,5,7,3,1,8,2]=>[1,8,2,3,4,5,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>{{1},{2,3,4,5,6,8},{7}}
[6,3,5,1,7,4,8,2]=>[1,7,2,3,5,4,8,6]=>{{1},{2,3,4,6,7,8},{5}}=>{{1},{2,3,4,6,7,8},{5}}
[6,2,1,5,7,4,8,3]=>[1,5,7,2,3,4,8,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,2,1,5,7,4,8,6]=>[1,5,7,2,3,4,8,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,2,1,6,7,8,4,5]=>[1,6,7,8,2,3,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,2,1,6,7,8,4,3]=>[1,6,7,8,2,3,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[6,4,5,7,2,1,8,3]=>[1,8,2,3,4,5,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>{{1},{2,3,4,5,6,8},{7}}
[5,3,6,2,7,8,4,1]=>[1,2,7,8,3,6,4,5]=>{{1},{2},{3,4,5,7,8},{6}}=>{{1},{2},{3,4,5,7,8},{6}}
[6,3,5,2,7,1,8,4]=>[1,8,2,7,3,5,4,6]=>{{1},{2,3,5,6,8},{4,7}}=>{{1},{2,3,6,7},{4,5,8}}
[5,3,4,1,2,7,8,6]=>[1,2,7,8,3,4,5,6]=>{{1},{2},{3,5,7},{4,6,8}}=>{{1},{2},{3,8},{4,5,6,7}}
[4,3,6,2,7,8,1,5]=>[1,5,2,7,8,3,6,4]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,3,6,2,7,8,5,1]=>[1,2,7,8,3,6,4,5]=>{{1},{2},{3,4,5,7,8},{6}}=>{{1},{2},{3,4,5,7,8},{6}}
[1,3,6,2,7,8,5,4]=>[1,3,6,2,7,8,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[1,4,6,7,2,8,5,3]=>[1,4,6,7,2,8,3,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,4,5,7,2,1,8,6]=>[1,8,2,3,4,5,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>{{1},{2,3,4,5,6,8},{7}}
[4,3,6,1,7,8,2,5]=>[1,7,8,2,5,3,6,4]=>{{1},{2,3,4,6,7,8},{5}}=>{{1},{2,3,4,6,7,8},{5}}
[1,5,6,7,8,2,4,3]=>[1,5,6,7,8,2,4,3]=>{{1},{2,3,5,6,8},{4,7}}=>{{1},{2,3,6,7},{4,5,8}}
[1,5,6,7,8,4,2,3]=>[1,5,6,7,8,2,3,4]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,2,1,6,7,8,5,3]=>[1,6,7,8,2,3,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[1,4,3,7,6,8,2,5]=>[1,4,2,5,3,7,6,8]=>{{1},{2,3,4,5},{6,7},{8}}=>{{1},{2,3,4,5},{6,7},{8}}
[1,4,3,7,5,8,2,6]=>[1,4,2,6,3,7,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[1,5,3,7,4,8,2,6]=>[1,5,2,6,3,7,4,8]=>{{1},{2,3,5},{4,6,7},{8}}=>{{1},{2,3,6,7},{4,5},{8}}
[1,5,4,8,2,6,3,7]=>[1,5,2,6,3,7,4,8]=>{{1},{2,3,5},{4,6,7},{8}}=>{{1},{2,3,6,7},{4,5},{8}}
[1,5,4,8,3,7,2,6]=>[1,5,2,6,3,7,4,8]=>{{1},{2,3,5},{4,6,7},{8}}=>{{1},{2,3,6,7},{4,5},{8}}
[1,2,3,6,5,8,4,7]=>[1,2,3,6,4,7,5,8]=>{{1},{2},{3},{4,5,6,7},{8}}=>{{1},{2},{3},{4,5,6,7},{8}}
[6,8,2,4,5,7,1,3]=>[1,3,2,4,5,7,6,8]=>{{1},{2,3},{4},{5},{6,7},{8}}=>{{1},{2,3},{4},{5},{6,7},{8}}
[3,7,8,4,5,2,6,1]=>[1,2,6,3,7,8,4,5]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[7,4,1,8,2,6,3,5]=>[1,8,2,6,3,5,4,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,1,8,4,2,6,3,5]=>[1,8,2,6,3,5,4,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,3,1,8,4,2,6,5]=>[1,8,2,6,3,4,5,7]=>{{1},{2,3,5,7,8},{4,6}}=>{{1},{2,3,7,8},{4,5,6}}
[6,1,2,8,3,5,4,7]=>[1,2,8,3,5,4,7,6]=>{{1},{2},{3,4,6,8},{5},{7}}=>{{1},{2},{3,4,6,8},{5},{7}}
[3,1,6,4,2,8,5,7]=>[1,6,2,8,3,4,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,6,3,8,7,1,5,4]=>[1,5,2,6,3,8,4,7]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[1,2,5,3,8,4,7,6]=>[1,2,5,3,8,4,7,6]=>{{1},{2},{3,4,5,6,8},{7}}=>{{1},{2},{3,4,5,6,8},{7}}
[3,1,5,4,8,2,7,6]=>[1,5,2,7,3,4,8,6]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[4,8,2,3,7,6,1,5]=>[1,5,2,3,7,4,8,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[1,5,4,8,2,7,6,3]=>[1,5,2,7,3,4,8,6]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[6,5,1,2,8,7,4,3]=>[1,2,8,3,4,5,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[4,1,5,8,2,7,6,3]=>[1,5,8,2,7,3,4,6]=>{{1},{2,4,5,7},{3,6,8}}=>{{1},{2,5,6,7},{3,4,8}}
[4,1,2,5,8,7,6,3]=>[1,2,5,8,3,4,6,7]=>{{1},{2},{3,5},{4,6,7,8}}=>{{1},{2},{3,6,7,8},{4,5}}
[1,4,2,5,8,7,6,3]=>[1,4,2,5,8,3,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[1,3,5,2,8,7,4,6]=>[1,3,5,2,8,4,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,5,1,2,8,7,4,6]=>[1,2,8,3,5,4,6,7]=>{{1},{2},{3,4,6,7,8},{5}}=>{{1},{2},{3,4,6,7,8},{5}}
[4,2,6,1,8,7,3,5]=>[1,8,2,6,3,5,4,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,3,1,5,8,2,7,6]=>[1,5,8,2,7,3,4,6]=>{{1},{2,4,5,7},{3,6,8}}=>{{1},{2,5,6,7},{3,4,8}}
[3,5,2,8,7,1,4,6]=>[1,4,6,2,8,3,5,7]=>{{1},{2,4},{3,6},{5,7,8}}=>{{1},{2,7,8},{3,4},{5,6}}
[3,4,8,1,7,2,6,5]=>[1,7,2,6,3,4,8,5]=>{{1},{2,3,5,7,8},{4,6}}=>{{1},{2,3,7,8},{4,5,6}}
[3,4,8,2,7,1,6,5]=>[1,6,2,7,3,4,8,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,4,8,2,7,6,1,5]=>[1,5,2,7,3,4,8,6]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[4,2,5,8,1,7,6,3]=>[1,7,2,5,8,3,4,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,3,1,2,5,8,7,6]=>[1,2,5,8,3,4,6,7]=>{{1},{2},{3,5},{4,6,7,8}}=>{{1},{2},{3,6,7,8},{4,5}}
[3,1,4,2,5,8,7,6]=>[1,4,2,5,8,3,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,3,5,1,8,7,6,4]=>[1,8,2,3,5,4,6,7]=>{{1},{2,3,4,6,7,8},{5}}=>{{1},{2,3,4,6,7,8},{5}}
[6,4,1,2,7,3,5,8]=>[1,2,7,3,5,8,4,6]=>{{1},{2},{3,4,7},{5},{6,8}}=>{{1},{2},{3,4,8},{5},{6,7}}
[6,3,1,5,4,2,7,8]=>[1,5,2,7,8,3,4,6]=>{{1},{2,3,5,6,8},{4,7}}=>{{1},{2,3,6,7},{4,5,8}}
[7,8,2,5,4,6,1,3]=>[1,3,2,5,4,6,7,8]=>{{1},{2,3},{4,5},{6},{7},{8}}=>{{1},{2,3},{4,5},{6},{7},{8}}
[6,2,1,5,4,7,3,8]=>[1,5,2,3,8,4,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>{{1},{2,3,4,5,6,8},{7}}
[4,7,6,5,2,8,1,3]=>[1,3,2,8,4,7,5,6]=>{{1},{2,3},{4,5,6,7,8}}=>{{1},{2,3},{4,5,6,7,8}}
[1,7,6,5,2,8,3,4]=>[1,7,2,8,3,4,5,6]=>{{1},{2,3,5,7},{4,6,8}}=>{{1},{2,3,8},{4,5,6,7}}
[1,7,6,5,3,2,8,4]=>[1,7,2,8,3,4,5,6]=>{{1},{2,3,5,7},{4,6,8}}=>{{1},{2,3,8},{4,5,6,7}}
[4,7,2,1,5,3,6,8]=>[1,5,2,3,6,8,4,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[1,7,2,6,8,3,5,4]=>[1,7,2,6,8,3,5,4]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[1,2,6,7,4,8,5,3]=>[1,2,6,7,3,4,8,5]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[4,7,6,8,3,5,1,2]=>[1,2,3,5,4,7,6,8]=>{{1},{2},{3},{4,5},{6,7},{8}}=>{{1},{2},{3},{4,5},{6,7},{8}}
[5,1,2,4,6,3,8,7]=>[1,2,4,6,3,8,5,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[4,1,8,7,5,2,3,6]=>[1,8,2,3,6,4,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[7,1,2,3,8,6,5,4]=>[1,2,3,8,4,5,6,7]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[6,8,1,4,3,7,2,5]=>[1,4,2,5,3,7,6,8]=>{{1},{2,3,4,5},{6,7},{8}}=>{{1},{2,3,4,5},{6,7},{8}}
[6,7,1,4,3,8,2,5]=>[1,4,2,5,3,8,6,7]=>{{1},{2,3,4,5},{6,7,8}}=>{{1},{2,3,4,5},{6,7,8}}
[8,1,2,3,5,7,6,4]=>[1,2,3,5,7,4,6,8]=>{{1},{2},{3},{4,5,6,7},{8}}=>{{1},{2},{3},{4,5,6,7},{8}}
[7,1,8,5,4,3,2,6]=>[1,8,2,6,3,4,5,7]=>{{1},{2,3,5,7,8},{4,6}}=>{{1},{2,3,7,8},{4,5,6}}
[6,7,2,8,3,4,1,5]=>[1,5,2,8,3,4,6,7]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[3,8,7,1,4,2,6,5]=>[1,4,2,6,3,8,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,8,3,7,1,4,2,6]=>[1,4,2,6,3,7,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[7,1,2,3,5,6,8,4]=>[1,2,3,5,6,8,4,7]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[6,1,2,3,8,7,4,5]=>[1,2,3,8,4,5,6,7]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[5,1,2,3,7,8,6,4]=>[1,2,3,7,8,4,5,6]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[1,2,8,5,4,7,3,6]=>[1,2,8,3,6,4,7,5]=>{{1},{2},{3,4,5,6,8},{7}}=>{{1},{2},{3,4,5,6,8},{7}}
[2,3,6,8,4,7,1,5]=>[1,5,2,3,6,8,4,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[1,3,6,8,4,7,5,2]=>[1,3,6,8,2,4,7,5]=>{{1},{2,3,4,5,6,8},{7}}=>{{1},{2,3,4,5,6,8},{7}}
[1,2,6,8,4,5,7,3]=>[1,2,6,8,3,4,5,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[7,5,1,2,4,3,6,8]=>[1,2,4,3,6,8,5,7]=>{{1},{2},{3,4},{5,6,7,8}}=>{{1},{2},{3,4},{5,6,7,8}}
[7,4,6,1,5,2,3,8]=>[1,5,2,3,8,4,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[1,6,3,8,5,4,2,7]=>[1,6,2,7,3,8,4,5]=>{{1},{2,3,5,6,8},{4,7}}=>{{1},{2,3,6,7},{4,5,8}}
[7,1,2,3,6,5,4,8]=>[1,2,3,6,4,8,5,7]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
[1,5,8,2,7,6,3,4]=>[1,5,8,2,7,3,4,6]=>{{1},{2,4,5,7},{3,6,8}}=>{{1},{2,5,6,7},{3,4,8}}
[5,8,2,7,6,3,4,1]=>[1,2,7,3,4,5,8,6]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[6,2,8,1,7,3,5,4]=>[1,7,2,8,3,5,4,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,6,4,1,2,8,5,7]=>[1,2,8,3,6,4,5,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[2,5,1,8,7,6,3,4]=>[1,8,2,5,3,4,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[1,2,5,3,8,7,4,6]=>[1,2,5,3,8,4,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[2,5,3,8,7,1,6,4]=>[1,6,2,5,3,8,4,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,5,8,4,1,7,6,3]=>[1,7,2,5,8,3,4,6]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[4,2,8,7,6,3,5,1]=>[1,2,8,3,5,4,6,7]=>{{1},{2},{3,4,6,7,8},{5}}=>{{1},{2},{3,4,6,7,8},{5}}
[6,3,1,8,7,2,5,4]=>[1,8,2,5,3,4,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[5,1,3,8,7,6,2,4]=>[1,3,8,2,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[1,5,3,8,7,6,2,4]=>[1,5,2,4,3,8,6,7]=>{{1},{2,3,5},{4},{6,7,8}}=>{{1},{2,3,5},{4},{6,7,8}}
[5,1,8,4,7,2,6,3]=>[1,8,2,6,3,4,7,5]=>{{1},{2,3,5,8},{4,6},{7}}=>{{1},{2,3,8},{4,5,6},{7}}
[5,8,7,4,6,1,2,3]=>[1,2,3,4,6,5,8,7]=>{{1},{2},{3},{4},{5,6},{7,8}}=>{{1},{2},{3},{4},{5,6},{7,8}}
[1,3,2,5,8,7,4,6]=>[1,3,2,5,8,4,6,7]=>{{1},{2,3},{4,5,6,7,8}}=>{{1},{2,3},{4,5,6,7,8}}
[3,5,1,8,7,4,6,2]=>[1,8,2,3,5,4,6,7]=>{{1},{2,3,4,6,7,8},{5}}=>{{1},{2,3,4,6,7,8},{5}}
[4,3,6,1,2,8,5,7]=>[1,2,8,3,6,4,5,7]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[3,2,5,8,7,1,6,4]=>[1,6,2,5,8,3,4,7]=>{{1},{2,3,6},{4,5,7,8}}=>{{1},{2,3,5,6},{4,7,8}}
[3,4,8,7,6,2,1,5]=>[1,5,2,3,4,8,6,7]=>{{1},{2,3,4,5},{6,7,8}}=>{{1},{2,3,4,5},{6,7,8}}
[3,4,8,7,6,5,1,2]=>[1,2,3,4,8,5,6,7]=>{{1},{2},{3},{4},{5,6,7,8}}=>{{1},{2},{3},{4},{5,6,7,8}}
[1,3,4,8,7,6,2,5]=>[1,3,4,8,2,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[3,4,8,7,6,2,5,1]=>[1,2,5,3,4,8,6,7]=>{{1},{2},{3,4,5},{6,7,8}}=>{{1},{2},{3,4,5},{6,7,8}}
[3,2,5,8,7,4,6,1]=>[1,2,5,8,3,4,6,7]=>{{1},{2},{3,5},{4,6,7,8}}=>{{1},{2},{3,6,7,8},{4,5}}
[2,1,3,5,8,7,4,6]=>[1,3,5,8,2,4,6,7]=>{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
[1,2,7,5,8,6,4,3]=>[1,2,7,3,4,5,8,6]=>{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
[2,7,8,1,3,6,5,4]=>[1,3,6,2,7,8,4,5]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[2,6,8,3,7,1,5,4]=>[1,5,2,6,8,3,7,4]=>{{1},{2,3,4,5,6,8},{7}}=>{{1},{2,3,4,5,6,8},{7}}
[2,8,6,4,7,1,5,3]=>[1,5,2,8,3,4,7,6]=>{{1},{2,3,5},{4,6,8},{7}}=>{{1},{2,3,6,8},{4,5},{7}}
[8,5,4,7,1,6,2,3]=>[1,6,2,3,4,7,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
[1,8,4,5,7,2,6,3]=>[1,8,2,6,3,4,5,7]=>{{1},{2,3,5,7,8},{4,6}}=>{{1},{2,3,7,8},{4,5,6}}
[5,8,7,3,6,1,2,4]=>[1,2,4,3,6,5,8,7]=>{{1},{2},{3,4},{5,6},{7,8}}=>{{1},{2},{3,4},{5,6},{7,8}}
[1,6,8,3,7,5,2,4]=>[1,6,8,2,4,3,7,5]=>{{1},{2,3,4,5,6,8},{7}}=>{{1},{2,3,4,5,6,8},{7}}
[8,6,4,7,3,1,5,2]=>[1,5,2,3,4,7,6,8]=>{{1},{2,3,4,5},{6,7},{8}}=>{{1},{2,3,4,5},{6,7},{8}}
[2,8,4,5,7,1,6,3]=>[1,6,2,8,3,4,5,7]=>{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
[8,7,2,3,4,6,1,5]=>[1,5,2,3,4,6,7,8]=>{{1},{2,3,4,5},{6},{7},{8}}=>{{1},{2,3,4,5},{6},{7},{8}}
Map
runsort
Description
The permutation obtained by sorting the increasing runs lexicographically.
Map
to cycle type
Description
Let $\pi=c_1\dots c_r$ a permutation of size $n$ decomposed in its cyclic parts. The associated set partition of $[n]$ then is $S=S_1\cup\dots\cup S_r$ such that $S_i$ is the set of integers in the cycle $c_i$.
A permutation is cyclic [1] if and only if its cycle type is a hook partition [2].
A permutation is cyclic [1] if and only if its cycle type is a hook partition [2].
Map
Kasraoui-Zeng
Description
The Kasraoui-Zeng involution.
This is defined in [1] and yields the set partition with the number of nestings and crossings exchanged.
This is defined in [1] and yields the set partition with the number of nestings and crossings exchanged.
searching the database
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