Identifier
Mp00223:
Permutations
—runsort⟶
Permutations
Mp00235: Permutations —descent views to invisible inversion bottoms⟶ Permutations
Mp00060: Permutations —Robinson-Schensted tableau shape⟶ Integer partitions
Mp00235: Permutations —descent views to invisible inversion bottoms⟶ Permutations
Mp00060: Permutations —Robinson-Schensted tableau shape⟶ Integer partitions
Images
=>
Cc0002;cc-rep-3
[1]=>[1]=>[1]=>[1]
[1,2]=>[1,2]=>[1,2]=>[2]
[2,1]=>[1,2]=>[1,2]=>[2]
[1,2,3]=>[1,2,3]=>[1,2,3]=>[3]
[1,3,2]=>[1,3,2]=>[1,3,2]=>[2,1]
[2,1,3]=>[1,3,2]=>[1,3,2]=>[2,1]
[2,3,1]=>[1,2,3]=>[1,2,3]=>[3]
[3,1,2]=>[1,2,3]=>[1,2,3]=>[3]
[3,2,1]=>[1,2,3]=>[1,2,3]=>[3]
[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>[4]
[1,2,4,3]=>[1,2,4,3]=>[1,2,4,3]=>[3,1]
[1,3,2,4]=>[1,3,2,4]=>[1,3,2,4]=>[3,1]
[1,3,4,2]=>[1,3,4,2]=>[1,4,3,2]=>[2,1,1]
[1,4,2,3]=>[1,4,2,3]=>[1,4,2,3]=>[3,1]
[1,4,3,2]=>[1,4,2,3]=>[1,4,2,3]=>[3,1]
[2,1,3,4]=>[1,3,4,2]=>[1,4,3,2]=>[2,1,1]
[2,1,4,3]=>[1,4,2,3]=>[1,4,2,3]=>[3,1]
[2,3,1,4]=>[1,4,2,3]=>[1,4,2,3]=>[3,1]
[2,3,4,1]=>[1,2,3,4]=>[1,2,3,4]=>[4]
[2,4,1,3]=>[1,3,2,4]=>[1,3,2,4]=>[3,1]
[2,4,3,1]=>[1,2,4,3]=>[1,2,4,3]=>[3,1]
[3,1,2,4]=>[1,2,4,3]=>[1,2,4,3]=>[3,1]
[3,1,4,2]=>[1,4,2,3]=>[1,4,2,3]=>[3,1]
[3,2,1,4]=>[1,4,2,3]=>[1,4,2,3]=>[3,1]
[3,2,4,1]=>[1,2,4,3]=>[1,2,4,3]=>[3,1]
[3,4,1,2]=>[1,2,3,4]=>[1,2,3,4]=>[4]
[3,4,2,1]=>[1,2,3,4]=>[1,2,3,4]=>[4]
[4,1,2,3]=>[1,2,3,4]=>[1,2,3,4]=>[4]
[4,1,3,2]=>[1,3,2,4]=>[1,3,2,4]=>[3,1]
[4,2,1,3]=>[1,3,2,4]=>[1,3,2,4]=>[3,1]
[4,2,3,1]=>[1,2,3,4]=>[1,2,3,4]=>[4]
[4,3,1,2]=>[1,2,3,4]=>[1,2,3,4]=>[4]
[4,3,2,1]=>[1,2,3,4]=>[1,2,3,4]=>[4]
[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[5]
[1,2,3,5,4]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[4,1]
[1,2,4,3,5]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[4,1]
[1,2,4,5,3]=>[1,2,4,5,3]=>[1,2,5,4,3]=>[3,1,1]
[1,2,5,3,4]=>[1,2,5,3,4]=>[1,2,5,3,4]=>[4,1]
[1,2,5,4,3]=>[1,2,5,3,4]=>[1,2,5,3,4]=>[4,1]
[1,3,2,4,5]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[4,1]
[1,3,2,5,4]=>[1,3,2,5,4]=>[1,3,2,5,4]=>[3,2]
[1,3,4,2,5]=>[1,3,4,2,5]=>[1,4,3,2,5]=>[3,1,1]
[1,3,4,5,2]=>[1,3,4,5,2]=>[1,5,3,4,2]=>[3,1,1]
[1,3,5,2,4]=>[1,3,5,2,4]=>[1,5,3,2,4]=>[3,1,1]
[1,3,5,4,2]=>[1,3,5,2,4]=>[1,5,3,2,4]=>[3,1,1]
[1,4,2,3,5]=>[1,4,2,3,5]=>[1,4,2,3,5]=>[4,1]
[1,4,2,5,3]=>[1,4,2,5,3]=>[1,4,5,2,3]=>[3,2]
[1,4,3,2,5]=>[1,4,2,5,3]=>[1,4,5,2,3]=>[3,2]
[1,4,3,5,2]=>[1,4,2,3,5]=>[1,4,2,3,5]=>[4,1]
[1,4,5,2,3]=>[1,4,5,2,3]=>[1,5,2,4,3]=>[3,1,1]
[1,4,5,3,2]=>[1,4,5,2,3]=>[1,5,2,4,3]=>[3,1,1]
[1,5,2,3,4]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[4,1]
[1,5,2,4,3]=>[1,5,2,4,3]=>[1,5,4,2,3]=>[3,1,1]
[1,5,3,2,4]=>[1,5,2,4,3]=>[1,5,4,2,3]=>[3,1,1]
[1,5,3,4,2]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[4,1]
[1,5,4,2,3]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[4,1]
[1,5,4,3,2]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[4,1]
[2,1,3,4,5]=>[1,3,4,5,2]=>[1,5,3,4,2]=>[3,1,1]
[2,1,3,5,4]=>[1,3,5,2,4]=>[1,5,3,2,4]=>[3,1,1]
[2,1,4,3,5]=>[1,4,2,3,5]=>[1,4,2,3,5]=>[4,1]
[2,1,4,5,3]=>[1,4,5,2,3]=>[1,5,2,4,3]=>[3,1,1]
[2,1,5,3,4]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[4,1]
[2,1,5,4,3]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[4,1]
[2,3,1,4,5]=>[1,4,5,2,3]=>[1,5,2,4,3]=>[3,1,1]
[2,3,1,5,4]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[4,1]
[2,3,4,1,5]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[4,1]
[2,3,4,5,1]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[5]
[2,3,5,1,4]=>[1,4,2,3,5]=>[1,4,2,3,5]=>[4,1]
[2,3,5,4,1]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[4,1]
[2,4,1,3,5]=>[1,3,5,2,4]=>[1,5,3,2,4]=>[3,1,1]
[2,4,1,5,3]=>[1,5,2,4,3]=>[1,5,4,2,3]=>[3,1,1]
[2,4,3,1,5]=>[1,5,2,4,3]=>[1,5,4,2,3]=>[3,1,1]
[2,4,3,5,1]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[4,1]
[2,4,5,1,3]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[4,1]
[2,4,5,3,1]=>[1,2,4,5,3]=>[1,2,5,4,3]=>[3,1,1]
[2,5,1,3,4]=>[1,3,4,2,5]=>[1,4,3,2,5]=>[3,1,1]
[2,5,1,4,3]=>[1,4,2,5,3]=>[1,4,5,2,3]=>[3,2]
[2,5,3,1,4]=>[1,4,2,5,3]=>[1,4,5,2,3]=>[3,2]
[2,5,3,4,1]=>[1,2,5,3,4]=>[1,2,5,3,4]=>[4,1]
[2,5,4,1,3]=>[1,3,2,5,4]=>[1,3,2,5,4]=>[3,2]
[2,5,4,3,1]=>[1,2,5,3,4]=>[1,2,5,3,4]=>[4,1]
[3,1,2,4,5]=>[1,2,4,5,3]=>[1,2,5,4,3]=>[3,1,1]
[3,1,2,5,4]=>[1,2,5,3,4]=>[1,2,5,3,4]=>[4,1]
[3,1,4,2,5]=>[1,4,2,5,3]=>[1,4,5,2,3]=>[3,2]
[3,1,4,5,2]=>[1,4,5,2,3]=>[1,5,2,4,3]=>[3,1,1]
[3,1,5,2,4]=>[1,5,2,4,3]=>[1,5,4,2,3]=>[3,1,1]
[3,1,5,4,2]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[4,1]
[3,2,1,4,5]=>[1,4,5,2,3]=>[1,5,2,4,3]=>[3,1,1]
[3,2,1,5,4]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[4,1]
[3,2,4,1,5]=>[1,5,2,4,3]=>[1,5,4,2,3]=>[3,1,1]
[3,2,4,5,1]=>[1,2,4,5,3]=>[1,2,5,4,3]=>[3,1,1]
[3,2,5,1,4]=>[1,4,2,5,3]=>[1,4,5,2,3]=>[3,2]
[3,2,5,4,1]=>[1,2,5,3,4]=>[1,2,5,3,4]=>[4,1]
[3,4,1,2,5]=>[1,2,5,3,4]=>[1,2,5,3,4]=>[4,1]
[3,4,1,5,2]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[4,1]
[3,4,2,1,5]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[4,1]
[3,4,2,5,1]=>[1,2,5,3,4]=>[1,2,5,3,4]=>[4,1]
[3,4,5,1,2]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[5]
[3,4,5,2,1]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[5]
[3,5,1,2,4]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[4,1]
[3,5,1,4,2]=>[1,4,2,3,5]=>[1,4,2,3,5]=>[4,1]
[3,5,2,1,4]=>[1,4,2,3,5]=>[1,4,2,3,5]=>[4,1]
[3,5,2,4,1]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[4,1]
[3,5,4,1,2]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[4,1]
[3,5,4,2,1]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[4,1]
[4,1,2,3,5]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[4,1]
[4,1,2,5,3]=>[1,2,5,3,4]=>[1,2,5,3,4]=>[4,1]
[4,1,3,2,5]=>[1,3,2,5,4]=>[1,3,2,5,4]=>[3,2]
[4,1,3,5,2]=>[1,3,5,2,4]=>[1,5,3,2,4]=>[3,1,1]
[4,1,5,2,3]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[4,1]
[4,1,5,3,2]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[4,1]
[4,2,1,3,5]=>[1,3,5,2,4]=>[1,5,3,2,4]=>[3,1,1]
[4,2,1,5,3]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[4,1]
[4,2,3,1,5]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[4,1]
[4,2,3,5,1]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[4,1]
[4,2,5,1,3]=>[1,3,2,5,4]=>[1,3,2,5,4]=>[3,2]
[4,2,5,3,1]=>[1,2,5,3,4]=>[1,2,5,3,4]=>[4,1]
[4,3,1,2,5]=>[1,2,5,3,4]=>[1,2,5,3,4]=>[4,1]
[4,3,1,5,2]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[4,1]
[4,3,2,1,5]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[4,1]
[4,3,2,5,1]=>[1,2,5,3,4]=>[1,2,5,3,4]=>[4,1]
[4,3,5,1,2]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[4,1]
[4,3,5,2,1]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[4,1]
[4,5,1,2,3]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[5]
[4,5,1,3,2]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[4,1]
[4,5,2,1,3]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[4,1]
[4,5,2,3,1]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[5]
[4,5,3,1,2]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[5]
[4,5,3,2,1]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[5]
[5,1,2,3,4]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[5]
[5,1,2,4,3]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[4,1]
[5,1,3,2,4]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[4,1]
[5,1,3,4,2]=>[1,3,4,2,5]=>[1,4,3,2,5]=>[3,1,1]
[5,1,4,2,3]=>[1,4,2,3,5]=>[1,4,2,3,5]=>[4,1]
[5,1,4,3,2]=>[1,4,2,3,5]=>[1,4,2,3,5]=>[4,1]
[5,2,1,3,4]=>[1,3,4,2,5]=>[1,4,3,2,5]=>[3,1,1]
[5,2,1,4,3]=>[1,4,2,3,5]=>[1,4,2,3,5]=>[4,1]
[5,2,3,1,4]=>[1,4,2,3,5]=>[1,4,2,3,5]=>[4,1]
[5,2,3,4,1]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[5]
[5,2,4,1,3]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[4,1]
[5,2,4,3,1]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[4,1]
[5,3,1,2,4]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[4,1]
[5,3,1,4,2]=>[1,4,2,3,5]=>[1,4,2,3,5]=>[4,1]
[5,3,2,1,4]=>[1,4,2,3,5]=>[1,4,2,3,5]=>[4,1]
[5,3,2,4,1]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[4,1]
[5,3,4,1,2]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[5]
[5,3,4,2,1]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[5]
[5,4,1,2,3]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[5]
[5,4,1,3,2]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[4,1]
[5,4,2,1,3]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[4,1]
[5,4,2,3,1]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[5]
[5,4,3,1,2]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[5]
[5,4,3,2,1]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[5]
[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6]
[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[5,1]
[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[5,1]
[1,2,3,5,6,4]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]=>[4,1,1]
[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>[5,1]
[1,2,3,6,5,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>[5,1]
[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[5,1]
[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>[4,2]
[1,2,4,5,3,6]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]=>[4,1,1]
[1,2,4,5,6,3]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]=>[4,1,1]
[1,2,4,6,3,5]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]=>[4,1,1]
[1,2,4,6,5,3]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]=>[4,1,1]
[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>[5,1]
[1,2,5,3,6,4]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]=>[4,2]
[1,2,5,4,3,6]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]=>[4,2]
[1,2,5,4,6,3]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>[5,1]
[1,2,5,6,3,4]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>[4,1,1]
[1,2,5,6,4,3]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>[4,1,1]
[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[5,1]
[1,2,6,3,5,4]=>[1,2,6,3,5,4]=>[1,2,6,5,3,4]=>[4,1,1]
[1,2,6,4,3,5]=>[1,2,6,3,5,4]=>[1,2,6,5,3,4]=>[4,1,1]
[1,2,6,4,5,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[5,1]
[1,2,6,5,3,4]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[5,1]
[1,2,6,5,4,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[5,1]
[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[5,1]
[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>[4,2]
[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>[4,2]
[1,3,2,5,6,4]=>[1,3,2,5,6,4]=>[1,3,2,6,5,4]=>[3,2,1]
[1,3,2,6,4,5]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]=>[4,2]
[1,3,2,6,5,4]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]=>[4,2]
[1,3,4,2,5,6]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]=>[4,1,1]
[1,3,4,2,6,5]=>[1,3,4,2,6,5]=>[1,4,3,2,6,5]=>[3,2,1]
[1,3,4,5,2,6]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]=>[4,1,1]
[1,3,4,5,6,2]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2]=>[4,1,1]
[1,3,4,6,2,5]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]=>[4,1,1]
[1,3,4,6,5,2]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]=>[4,1,1]
[1,3,5,2,4,6]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]=>[4,1,1]
[1,3,5,2,6,4]=>[1,3,5,2,6,4]=>[1,5,3,6,2,4]=>[3,2,1]
[1,3,5,4,2,6]=>[1,3,5,2,6,4]=>[1,5,3,6,2,4]=>[3,2,1]
[1,3,5,4,6,2]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]=>[4,1,1]
[1,3,5,6,2,4]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>[3,2,1]
[1,3,5,6,4,2]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>[3,2,1]
[1,3,6,2,4,5]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>[4,1,1]
[1,3,6,2,5,4]=>[1,3,6,2,5,4]=>[1,6,3,5,2,4]=>[3,2,1]
[1,3,6,4,2,5]=>[1,3,6,2,5,4]=>[1,6,3,5,2,4]=>[3,2,1]
[1,3,6,4,5,2]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>[4,1,1]
[1,3,6,5,2,4]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>[4,1,1]
[1,3,6,5,4,2]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>[4,1,1]
[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>[5,1]
[1,4,2,3,6,5]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]=>[4,2]
[1,4,2,5,3,6]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]=>[4,2]
[1,4,2,5,6,3]=>[1,4,2,5,6,3]=>[1,4,6,2,5,3]=>[3,2,1]
[1,4,2,6,3,5]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]=>[4,2]
[1,4,2,6,5,3]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]=>[4,2]
[1,4,3,2,5,6]=>[1,4,2,5,6,3]=>[1,4,6,2,5,3]=>[3,2,1]
[1,4,3,2,6,5]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]=>[4,2]
[1,4,3,5,2,6]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]=>[4,2]
[1,4,3,5,6,2]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>[5,1]
[1,4,3,6,2,5]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]=>[4,2]
[1,4,3,6,5,2]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]=>[4,2]
[1,4,5,2,3,6]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>[4,1,1]
[1,4,5,2,6,3]=>[1,4,5,2,6,3]=>[1,5,6,4,2,3]=>[3,2,1]
[1,4,5,3,2,6]=>[1,4,5,2,6,3]=>[1,5,6,4,2,3]=>[3,2,1]
[1,4,5,3,6,2]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>[4,1,1]
[1,4,5,6,2,3]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>[4,1,1]
[1,4,5,6,3,2]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>[4,1,1]
[1,4,6,2,3,5]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>[4,1,1]
[1,4,6,2,5,3]=>[1,4,6,2,5,3]=>[1,6,5,4,2,3]=>[3,1,1,1]
[1,4,6,3,2,5]=>[1,4,6,2,5,3]=>[1,6,5,4,2,3]=>[3,1,1,1]
[1,4,6,3,5,2]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>[4,1,1]
[1,4,6,5,2,3]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>[4,1,1]
[1,4,6,5,3,2]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>[4,1,1]
[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[5,1]
[1,5,2,3,6,4]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]=>[4,2]
[1,5,2,4,3,6]=>[1,5,2,4,3,6]=>[1,5,4,2,3,6]=>[4,1,1]
[1,5,2,4,6,3]=>[1,5,2,4,6,3]=>[1,5,6,2,4,3]=>[3,2,1]
[1,5,2,6,3,4]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>[3,2,1]
[1,5,2,6,4,3]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>[3,2,1]
[1,5,3,2,4,6]=>[1,5,2,4,6,3]=>[1,5,6,2,4,3]=>[3,2,1]
[1,5,3,2,6,4]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>[3,2,1]
[1,5,3,4,2,6]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>[3,2,1]
[1,5,3,4,6,2]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[5,1]
[1,5,3,6,2,4]=>[1,5,2,4,3,6]=>[1,5,4,2,3,6]=>[4,1,1]
[1,5,3,6,4,2]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]=>[4,2]
[1,5,4,2,3,6]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]=>[4,2]
[1,5,4,2,6,3]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>[3,2,1]
[1,5,4,3,2,6]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>[3,2,1]
[1,5,4,3,6,2]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]=>[4,2]
[1,5,4,6,2,3]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[5,1]
[1,5,4,6,3,2]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[5,1]
[1,5,6,2,3,4]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>[4,1,1]
[1,5,6,2,4,3]=>[1,5,6,2,4,3]=>[1,6,4,2,5,3]=>[3,2,1]
[1,5,6,3,2,4]=>[1,5,6,2,4,3]=>[1,6,4,2,5,3]=>[3,2,1]
[1,5,6,3,4,2]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>[4,1,1]
[1,5,6,4,2,3]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>[4,1,1]
[1,5,6,4,3,2]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>[4,1,1]
[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[5,1]
[1,6,2,3,5,4]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]=>[4,1,1]
[1,6,2,4,3,5]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]=>[4,1,1]
[1,6,2,4,5,3]=>[1,6,2,4,5,3]=>[1,6,5,2,4,3]=>[3,1,1,1]
[1,6,2,5,3,4]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>[3,1,1,1]
[1,6,2,5,4,3]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>[3,1,1,1]
[1,6,3,2,4,5]=>[1,6,2,4,5,3]=>[1,6,5,2,4,3]=>[3,1,1,1]
[1,6,3,2,5,4]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>[3,1,1,1]
[1,6,3,4,2,5]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>[3,1,1,1]
[1,6,3,4,5,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[5,1]
[1,6,3,5,2,4]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]=>[4,1,1]
[1,6,3,5,4,2]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]=>[4,1,1]
[1,6,4,2,3,5]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]=>[4,1,1]
[1,6,4,2,5,3]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>[3,1,1,1]
[1,6,4,3,2,5]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>[3,1,1,1]
[1,6,4,3,5,2]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]=>[4,1,1]
[1,6,4,5,2,3]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[5,1]
[1,6,4,5,3,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[5,1]
[1,6,5,2,3,4]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[5,1]
[1,6,5,2,4,3]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]=>[4,1,1]
[1,6,5,3,2,4]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]=>[4,1,1]
[1,6,5,3,4,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[5,1]
[1,6,5,4,2,3]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[5,1]
[1,6,5,4,3,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[5,1]
[2,1,3,4,5,6]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2]=>[4,1,1]
[2,1,3,4,6,5]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]=>[4,1,1]
[2,1,3,5,4,6]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]=>[4,1,1]
[2,1,3,5,6,4]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>[3,2,1]
[2,1,3,6,4,5]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>[4,1,1]
[2,1,3,6,5,4]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>[4,1,1]
[2,1,4,3,5,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>[5,1]
[2,1,4,3,6,5]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]=>[4,2]
[2,1,4,5,3,6]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>[4,1,1]
[2,1,4,5,6,3]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>[4,1,1]
[2,1,4,6,3,5]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>[4,1,1]
[2,1,4,6,5,3]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>[4,1,1]
[2,1,5,3,4,6]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[5,1]
[2,1,5,3,6,4]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]=>[4,2]
[2,1,5,4,3,6]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]=>[4,2]
[2,1,5,4,6,3]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[5,1]
[2,1,5,6,3,4]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>[4,1,1]
[2,1,5,6,4,3]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>[4,1,1]
[2,1,6,3,4,5]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[5,1]
[2,1,6,3,5,4]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]=>[4,1,1]
[2,1,6,4,3,5]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]=>[4,1,1]
[2,1,6,4,5,3]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[5,1]
[2,1,6,5,3,4]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[5,1]
[2,1,6,5,4,3]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[5,1]
[2,3,1,4,5,6]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>[4,1,1]
[2,3,1,4,6,5]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>[4,1,1]
[2,3,1,5,4,6]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[5,1]
[2,3,1,5,6,4]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>[4,1,1]
[2,3,1,6,4,5]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[5,1]
[2,3,1,6,5,4]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[5,1]
[2,3,4,1,5,6]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>[4,1,1]
[2,3,4,1,6,5]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[5,1]
[2,3,4,5,1,6]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[5,1]
[2,3,4,5,6,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6]
[2,3,4,6,1,5]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[5,1]
[2,3,4,6,5,1]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[5,1]
[2,3,5,1,4,6]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>[4,1,1]
[2,3,5,1,6,4]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]=>[4,1,1]
[2,3,5,4,1,6]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]=>[4,1,1]
[2,3,5,4,6,1]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[5,1]
[2,3,5,6,1,4]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>[5,1]
[2,3,5,6,4,1]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]=>[4,1,1]
[2,3,6,1,4,5]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>[4,1,1]
[2,3,6,1,5,4]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]=>[4,2]
[2,3,6,4,1,5]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]=>[4,2]
[2,3,6,4,5,1]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>[5,1]
[2,3,6,5,1,4]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]=>[4,2]
[2,3,6,5,4,1]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>[5,1]
[2,4,1,3,5,6]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>[3,2,1]
[2,4,1,3,6,5]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>[4,1,1]
[2,4,1,5,3,6]=>[1,5,2,4,3,6]=>[1,5,4,2,3,6]=>[4,1,1]
[2,4,1,5,6,3]=>[1,5,6,2,4,3]=>[1,6,4,2,5,3]=>[3,2,1]
[2,4,1,6,3,5]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]=>[4,1,1]
[2,4,1,6,5,3]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]=>[4,1,1]
[2,4,3,1,5,6]=>[1,5,6,2,4,3]=>[1,6,4,2,5,3]=>[3,2,1]
[2,4,3,1,6,5]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]=>[4,1,1]
[2,4,3,5,1,6]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]=>[4,1,1]
[2,4,3,5,6,1]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[5,1]
[2,4,3,6,1,5]=>[1,5,2,4,3,6]=>[1,5,4,2,3,6]=>[4,1,1]
[2,4,3,6,5,1]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>[4,2]
[2,4,5,1,3,6]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>[4,1,1]
[2,4,5,1,6,3]=>[1,6,2,4,5,3]=>[1,6,5,2,4,3]=>[3,1,1,1]
[2,4,5,3,1,6]=>[1,6,2,4,5,3]=>[1,6,5,2,4,3]=>[3,1,1,1]
[2,4,5,3,6,1]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]=>[4,1,1]
[2,4,5,6,1,3]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[5,1]
[2,4,5,6,3,1]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]=>[4,1,1]
[2,4,6,1,3,5]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]=>[4,1,1]
[2,4,6,1,5,3]=>[1,5,2,4,6,3]=>[1,5,6,2,4,3]=>[3,2,1]
[2,4,6,3,1,5]=>[1,5,2,4,6,3]=>[1,5,6,2,4,3]=>[3,2,1]
[2,4,6,3,5,1]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]=>[4,1,1]
[2,4,6,5,1,3]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>[4,2]
[2,4,6,5,3,1]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]=>[4,1,1]
[2,5,1,3,4,6]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]=>[4,1,1]
[2,5,1,3,6,4]=>[1,3,6,2,5,4]=>[1,6,3,5,2,4]=>[3,2,1]
[2,5,1,4,3,6]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]=>[4,2]
[2,5,1,4,6,3]=>[1,4,6,2,5,3]=>[1,6,5,4,2,3]=>[3,1,1,1]
[2,5,1,6,3,4]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>[3,1,1,1]
[2,5,1,6,4,3]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>[3,1,1,1]
[2,5,3,1,4,6]=>[1,4,6,2,5,3]=>[1,6,5,4,2,3]=>[3,1,1,1]
[2,5,3,1,6,4]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>[3,1,1,1]
[2,5,3,4,1,6]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>[3,1,1,1]
[2,5,3,4,6,1]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>[5,1]
[2,5,3,6,1,4]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]=>[4,2]
[2,5,3,6,4,1]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]=>[4,2]
[2,5,4,1,3,6]=>[1,3,6,2,5,4]=>[1,6,3,5,2,4]=>[3,2,1]
[2,5,4,1,6,3]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>[3,1,1,1]
[2,5,4,3,1,6]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>[3,1,1,1]
[2,5,4,3,6,1]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]=>[4,2]
[2,5,4,6,1,3]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>[4,2]
[2,5,4,6,3,1]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>[5,1]
[2,5,6,1,3,4]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]=>[4,1,1]
[2,5,6,1,4,3]=>[1,4,2,5,6,3]=>[1,4,6,2,5,3]=>[3,2,1]
[2,5,6,3,1,4]=>[1,4,2,5,6,3]=>[1,4,6,2,5,3]=>[3,2,1]
[2,5,6,3,4,1]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>[4,1,1]
[2,5,6,4,1,3]=>[1,3,2,5,6,4]=>[1,3,2,6,5,4]=>[3,2,1]
[2,5,6,4,3,1]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>[4,1,1]
[2,6,1,3,4,5]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]=>[4,1,1]
[2,6,1,3,5,4]=>[1,3,5,2,6,4]=>[1,5,3,6,2,4]=>[3,2,1]
[2,6,1,4,3,5]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]=>[4,2]
[2,6,1,4,5,3]=>[1,4,5,2,6,3]=>[1,5,6,4,2,3]=>[3,2,1]
[2,6,1,5,3,4]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>[3,2,1]
[2,6,1,5,4,3]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>[3,2,1]
[2,6,3,1,4,5]=>[1,4,5,2,6,3]=>[1,5,6,4,2,3]=>[3,2,1]
[2,6,3,1,5,4]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>[3,2,1]
[2,6,3,4,1,5]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>[3,2,1]
[2,6,3,4,5,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[5,1]
[2,6,3,5,1,4]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]=>[4,2]
[2,6,3,5,4,1]=>[1,2,6,3,5,4]=>[1,2,6,5,3,4]=>[4,1,1]
[2,6,4,1,3,5]=>[1,3,5,2,6,4]=>[1,5,3,6,2,4]=>[3,2,1]
[2,6,4,1,5,3]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>[3,2,1]
[2,6,4,3,1,5]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>[3,2,1]
[2,6,4,3,5,1]=>[1,2,6,3,5,4]=>[1,2,6,5,3,4]=>[4,1,1]
[2,6,4,5,1,3]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]=>[4,2]
[2,6,4,5,3,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[5,1]
[2,6,5,1,3,4]=>[1,3,4,2,6,5]=>[1,4,3,2,6,5]=>[3,2,1]
[2,6,5,1,4,3]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]=>[4,2]
[2,6,5,3,1,4]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]=>[4,2]
[2,6,5,3,4,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[5,1]
[2,6,5,4,1,3]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]=>[4,2]
[2,6,5,4,3,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[5,1]
[3,1,2,4,5,6]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]=>[4,1,1]
[3,1,2,4,6,5]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]=>[4,1,1]
[3,1,2,5,4,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>[5,1]
[3,1,2,5,6,4]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>[4,1,1]
[3,1,2,6,4,5]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[5,1]
[3,1,2,6,5,4]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[5,1]
[3,1,4,2,5,6]=>[1,4,2,5,6,3]=>[1,4,6,2,5,3]=>[3,2,1]
[3,1,4,2,6,5]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]=>[4,2]
[3,1,4,5,2,6]=>[1,4,5,2,6,3]=>[1,5,6,4,2,3]=>[3,2,1]
[3,1,4,5,6,2]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>[4,1,1]
[3,1,4,6,2,5]=>[1,4,6,2,5,3]=>[1,6,5,4,2,3]=>[3,1,1,1]
[3,1,4,6,5,2]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>[4,1,1]
[3,1,5,2,4,6]=>[1,5,2,4,6,3]=>[1,5,6,2,4,3]=>[3,2,1]
[3,1,5,2,6,4]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>[3,2,1]
[3,1,5,4,2,6]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>[3,2,1]
[3,1,5,4,6,2]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[5,1]
[3,1,5,6,2,4]=>[1,5,6,2,4,3]=>[1,6,4,2,5,3]=>[3,2,1]
[3,1,5,6,4,2]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>[4,1,1]
[3,1,6,2,4,5]=>[1,6,2,4,5,3]=>[1,6,5,2,4,3]=>[3,1,1,1]
[3,1,6,2,5,4]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>[3,1,1,1]
[3,1,6,4,2,5]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>[3,1,1,1]
[3,1,6,4,5,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[5,1]
[3,1,6,5,2,4]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]=>[4,1,1]
[3,1,6,5,4,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[5,1]
[3,2,1,4,5,6]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>[4,1,1]
[3,2,1,4,6,5]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>[4,1,1]
[3,2,1,5,4,6]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[5,1]
[3,2,1,5,6,4]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>[4,1,1]
[3,2,1,6,4,5]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[5,1]
[3,2,1,6,5,4]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[5,1]
[3,2,4,1,5,6]=>[1,5,6,2,4,3]=>[1,6,4,2,5,3]=>[3,2,1]
[3,2,4,1,6,5]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]=>[4,1,1]
[3,2,4,5,1,6]=>[1,6,2,4,5,3]=>[1,6,5,2,4,3]=>[3,1,1,1]
[3,2,4,5,6,1]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]=>[4,1,1]
[3,2,4,6,1,5]=>[1,5,2,4,6,3]=>[1,5,6,2,4,3]=>[3,2,1]
[3,2,4,6,5,1]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]=>[4,1,1]
[3,2,5,1,4,6]=>[1,4,6,2,5,3]=>[1,6,5,4,2,3]=>[3,1,1,1]
[3,2,5,1,6,4]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>[3,1,1,1]
[3,2,5,4,1,6]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>[3,1,1,1]
[3,2,5,4,6,1]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>[5,1]
[3,2,5,6,1,4]=>[1,4,2,5,6,3]=>[1,4,6,2,5,3]=>[3,2,1]
[3,2,5,6,4,1]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>[4,1,1]
[3,2,6,1,4,5]=>[1,4,5,2,6,3]=>[1,5,6,4,2,3]=>[3,2,1]
[3,2,6,1,5,4]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>[3,2,1]
[3,2,6,4,1,5]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>[3,2,1]
[3,2,6,4,5,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[5,1]
[3,2,6,5,1,4]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]=>[4,2]
[3,2,6,5,4,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[5,1]
[3,4,1,2,5,6]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>[4,1,1]
[3,4,1,2,6,5]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[5,1]
[3,4,1,5,2,6]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>[3,2,1]
[3,4,1,5,6,2]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>[4,1,1]
[3,4,1,6,2,5]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>[3,1,1,1]
[3,4,1,6,5,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[5,1]
[3,4,2,1,5,6]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>[4,1,1]
[3,4,2,1,6,5]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[5,1]
[3,4,2,5,1,6]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>[3,1,1,1]
[3,4,2,5,6,1]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>[4,1,1]
[3,4,2,6,1,5]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>[3,2,1]
[3,4,2,6,5,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[5,1]
[3,4,5,1,2,6]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[5,1]
[3,4,5,1,6,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[5,1]
[3,4,5,2,1,6]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[5,1]
[3,4,5,2,6,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[5,1]
[3,4,5,6,1,2]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6]
[3,4,5,6,2,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6]
[3,4,6,1,2,5]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>[5,1]
[3,4,6,1,5,2]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[5,1]
[3,4,6,2,1,5]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[5,1]
[3,4,6,2,5,1]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>[5,1]
[3,4,6,5,1,2]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[5,1]
[3,4,6,5,2,1]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[5,1]
[3,5,1,2,4,6]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]=>[4,1,1]
[3,5,1,2,6,4]=>[1,2,6,3,5,4]=>[1,2,6,5,3,4]=>[4,1,1]
[3,5,1,4,2,6]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]=>[4,2]
[3,5,1,4,6,2]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>[4,1,1]
[3,5,1,6,2,4]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]=>[4,1,1]
[3,5,1,6,4,2]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]=>[4,1,1]
[3,5,2,1,4,6]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>[4,1,1]
[3,5,2,1,6,4]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]=>[4,1,1]
[3,5,2,4,1,6]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]=>[4,1,1]
[3,5,2,4,6,1]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]=>[4,1,1]
[3,5,2,6,1,4]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]=>[4,2]
[3,5,2,6,4,1]=>[1,2,6,3,5,4]=>[1,2,6,5,3,4]=>[4,1,1]
[3,5,4,1,2,6]=>[1,2,6,3,5,4]=>[1,2,6,5,3,4]=>[4,1,1]
[3,5,4,1,6,2]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]=>[4,1,1]
[3,5,4,2,1,6]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]=>[4,1,1]
[3,5,4,2,6,1]=>[1,2,6,3,5,4]=>[1,2,6,5,3,4]=>[4,1,1]
[3,5,4,6,1,2]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[5,1]
[3,5,4,6,2,1]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[5,1]
[3,5,6,1,2,4]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[5,1]
[3,5,6,1,4,2]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>[5,1]
[3,5,6,2,1,4]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>[5,1]
[3,5,6,2,4,1]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[5,1]
[3,5,6,4,1,2]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]=>[4,1,1]
[3,5,6,4,2,1]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]=>[4,1,1]
[3,6,1,2,4,5]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]=>[4,1,1]
[3,6,1,2,5,4]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]=>[4,2]
[3,6,1,4,2,5]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]=>[4,2]
[3,6,1,4,5,2]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>[4,1,1]
[3,6,1,5,2,4]=>[1,5,2,4,3,6]=>[1,5,4,2,3,6]=>[4,1,1]
[3,6,1,5,4,2]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]=>[4,2]
[3,6,2,1,4,5]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>[4,1,1]
[3,6,2,1,5,4]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]=>[4,2]
[3,6,2,4,1,5]=>[1,5,2,4,3,6]=>[1,5,4,2,3,6]=>[4,1,1]
[3,6,2,4,5,1]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]=>[4,1,1]
[3,6,2,5,1,4]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]=>[4,2]
[3,6,2,5,4,1]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]=>[4,2]
[3,6,4,1,2,5]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]=>[4,2]
[3,6,4,1,5,2]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]=>[4,2]
[3,6,4,2,1,5]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]=>[4,2]
[3,6,4,2,5,1]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]=>[4,2]
[3,6,4,5,1,2]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>[5,1]
[3,6,4,5,2,1]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>[5,1]
[3,6,5,1,2,4]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>[4,2]
[3,6,5,1,4,2]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]=>[4,2]
[3,6,5,2,1,4]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]=>[4,2]
[3,6,5,2,4,1]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>[4,2]
[3,6,5,4,1,2]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>[5,1]
[3,6,5,4,2,1]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>[5,1]
[4,1,2,3,5,6]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]=>[4,1,1]
[4,1,2,3,6,5]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>[5,1]
[4,1,2,5,3,6]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]=>[4,2]
[4,1,2,5,6,3]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>[4,1,1]
[4,1,2,6,3,5]=>[1,2,6,3,5,4]=>[1,2,6,5,3,4]=>[4,1,1]
[4,1,2,6,5,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[5,1]
[4,1,3,2,5,6]=>[1,3,2,5,6,4]=>[1,3,2,6,5,4]=>[3,2,1]
[4,1,3,2,6,5]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]=>[4,2]
[4,1,3,5,2,6]=>[1,3,5,2,6,4]=>[1,5,3,6,2,4]=>[3,2,1]
[4,1,3,5,6,2]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>[3,2,1]
[4,1,3,6,2,5]=>[1,3,6,2,5,4]=>[1,6,3,5,2,4]=>[3,2,1]
[4,1,3,6,5,2]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>[4,1,1]
[4,1,5,2,3,6]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]=>[4,2]
[4,1,5,2,6,3]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>[3,2,1]
[4,1,5,3,2,6]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>[3,2,1]
[4,1,5,3,6,2]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]=>[4,2]
[4,1,5,6,2,3]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>[4,1,1]
[4,1,5,6,3,2]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>[4,1,1]
[4,1,6,2,3,5]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]=>[4,1,1]
[4,1,6,2,5,3]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>[3,1,1,1]
[4,1,6,3,2,5]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>[3,1,1,1]
[4,1,6,3,5,2]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]=>[4,1,1]
[4,1,6,5,2,3]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[5,1]
[4,1,6,5,3,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[5,1]
[4,2,1,3,5,6]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>[3,2,1]
[4,2,1,3,6,5]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>[4,1,1]
[4,2,1,5,3,6]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]=>[4,2]
[4,2,1,5,6,3]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>[4,1,1]
[4,2,1,6,3,5]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]=>[4,1,1]
[4,2,1,6,5,3]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[5,1]
[4,2,3,1,5,6]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>[4,1,1]
[4,2,3,1,6,5]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[5,1]
[4,2,3,5,1,6]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]=>[4,1,1]
[4,2,3,5,6,1]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]=>[4,1,1]
[4,2,3,6,1,5]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]=>[4,2]
[4,2,3,6,5,1]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>[5,1]
[4,2,5,1,3,6]=>[1,3,6,2,5,4]=>[1,6,3,5,2,4]=>[3,2,1]
[4,2,5,1,6,3]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>[3,1,1,1]
[4,2,5,3,1,6]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>[3,1,1,1]
[4,2,5,3,6,1]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]=>[4,2]
[4,2,5,6,1,3]=>[1,3,2,5,6,4]=>[1,3,2,6,5,4]=>[3,2,1]
[4,2,5,6,3,1]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>[4,1,1]
[4,2,6,1,3,5]=>[1,3,5,2,6,4]=>[1,5,3,6,2,4]=>[3,2,1]
[4,2,6,1,5,3]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>[3,2,1]
[4,2,6,3,1,5]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>[3,2,1]
[4,2,6,3,5,1]=>[1,2,6,3,5,4]=>[1,2,6,5,3,4]=>[4,1,1]
[4,2,6,5,1,3]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]=>[4,2]
[4,2,6,5,3,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[5,1]
[4,3,1,2,5,6]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>[4,1,1]
[4,3,1,2,6,5]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[5,1]
[4,3,1,5,2,6]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>[3,2,1]
[4,3,1,5,6,2]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>[4,1,1]
[4,3,1,6,2,5]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>[3,1,1,1]
[4,3,1,6,5,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[5,1]
[4,3,2,1,5,6]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>[4,1,1]
[4,3,2,1,6,5]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[5,1]
[4,3,2,5,1,6]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>[3,1,1,1]
[4,3,2,5,6,1]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>[4,1,1]
[4,3,2,6,1,5]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>[3,2,1]
[4,3,2,6,5,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[5,1]
[4,3,5,1,2,6]=>[1,2,6,3,5,4]=>[1,2,6,5,3,4]=>[4,1,1]
[4,3,5,1,6,2]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]=>[4,1,1]
[4,3,5,2,1,6]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]=>[4,1,1]
[4,3,5,2,6,1]=>[1,2,6,3,5,4]=>[1,2,6,5,3,4]=>[4,1,1]
[4,3,5,6,1,2]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]=>[4,1,1]
[4,3,5,6,2,1]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]=>[4,1,1]
[4,3,6,1,2,5]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]=>[4,2]
[4,3,6,1,5,2]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]=>[4,2]
[4,3,6,2,1,5]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]=>[4,2]
[4,3,6,2,5,1]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]=>[4,2]
[4,3,6,5,1,2]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>[5,1]
[4,3,6,5,2,1]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>[5,1]
[4,5,1,2,3,6]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>[5,1]
[4,5,1,2,6,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[5,1]
[4,5,1,3,2,6]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]=>[4,2]
[4,5,1,3,6,2]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>[4,1,1]
[4,5,1,6,2,3]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[5,1]
[4,5,1,6,3,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[5,1]
[4,5,2,1,3,6]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>[4,1,1]
[4,5,2,1,6,3]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[5,1]
[4,5,2,3,1,6]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[5,1]
[4,5,2,3,6,1]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>[5,1]
[4,5,2,6,1,3]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]=>[4,2]
[4,5,2,6,3,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[5,1]
[4,5,3,1,2,6]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[5,1]
[4,5,3,1,6,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[5,1]
[4,5,3,2,1,6]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[5,1]
[4,5,3,2,6,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[5,1]
[4,5,3,6,1,2]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>[5,1]
[4,5,3,6,2,1]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>[5,1]
[4,5,6,1,2,3]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6]
[4,5,6,1,3,2]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[5,1]
[4,5,6,2,1,3]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[5,1]
[4,5,6,2,3,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6]
[4,5,6,3,1,2]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6]
[4,5,6,3,2,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6]
[4,6,1,2,3,5]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[5,1]
[4,6,1,2,5,3]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>[5,1]
[4,6,1,3,2,5]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>[4,2]
[4,6,1,3,5,2]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]=>[4,1,1]
[4,6,1,5,2,3]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[5,1]
[4,6,1,5,3,2]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[5,1]
[4,6,2,1,3,5]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]=>[4,1,1]
[4,6,2,1,5,3]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[5,1]
[4,6,2,3,1,5]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[5,1]
[4,6,2,3,5,1]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[5,1]
[4,6,2,5,1,3]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>[4,2]
[4,6,2,5,3,1]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>[5,1]
[4,6,3,1,2,5]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>[5,1]
[4,6,3,1,5,2]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[5,1]
[4,6,3,2,1,5]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[5,1]
[4,6,3,2,5,1]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>[5,1]
[4,6,3,5,1,2]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[5,1]
[4,6,3,5,2,1]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[5,1]
[4,6,5,1,2,3]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[5,1]
[4,6,5,1,3,2]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>[4,2]
[4,6,5,2,1,3]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>[4,2]
[4,6,5,2,3,1]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[5,1]
[4,6,5,3,1,2]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[5,1]
[4,6,5,3,2,1]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[5,1]
[5,1,2,3,4,6]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[5,1]
[5,1,2,3,6,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>[5,1]
[5,1,2,4,3,6]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>[4,2]
[5,1,2,4,6,3]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]=>[4,1,1]
[5,1,2,6,3,4]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[5,1]
[5,1,2,6,4,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[5,1]
[5,1,3,2,4,6]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>[4,2]
[5,1,3,2,6,4]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]=>[4,2]
[5,1,3,4,2,6]=>[1,3,4,2,6,5]=>[1,4,3,2,6,5]=>[3,2,1]
[5,1,3,4,6,2]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]=>[4,1,1]
[5,1,3,6,2,4]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>[4,1,1]
[5,1,3,6,4,2]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>[4,1,1]
[5,1,4,2,3,6]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]=>[4,2]
[5,1,4,2,6,3]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]=>[4,2]
[5,1,4,3,2,6]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]=>[4,2]
[5,1,4,3,6,2]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]=>[4,2]
[5,1,4,6,2,3]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>[4,1,1]
[5,1,4,6,3,2]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>[4,1,1]
[5,1,6,2,3,4]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[5,1]
[5,1,6,2,4,3]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]=>[4,1,1]
[5,1,6,3,2,4]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]=>[4,1,1]
[5,1,6,3,4,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[5,1]
[5,1,6,4,2,3]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[5,1]
[5,1,6,4,3,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[5,1]
[5,2,1,3,4,6]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]=>[4,1,1]
[5,2,1,3,6,4]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>[4,1,1]
[5,2,1,4,3,6]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]=>[4,2]
[5,2,1,4,6,3]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>[4,1,1]
[5,2,1,6,3,4]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[5,1]
[5,2,1,6,4,3]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[5,1]
[5,2,3,1,4,6]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>[4,1,1]
[5,2,3,1,6,4]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[5,1]
[5,2,3,4,1,6]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[5,1]
[5,2,3,4,6,1]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[5,1]
[5,2,3,6,1,4]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]=>[4,2]
[5,2,3,6,4,1]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>[5,1]
[5,2,4,1,3,6]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>[4,1,1]
[5,2,4,1,6,3]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]=>[4,1,1]
[5,2,4,3,1,6]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]=>[4,1,1]
[5,2,4,3,6,1]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>[4,2]
[5,2,4,6,1,3]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>[4,2]
[5,2,4,6,3,1]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]=>[4,1,1]
[5,2,6,1,3,4]=>[1,3,4,2,6,5]=>[1,4,3,2,6,5]=>[3,2,1]
[5,2,6,1,4,3]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]=>[4,2]
[5,2,6,3,1,4]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]=>[4,2]
[5,2,6,3,4,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[5,1]
[5,2,6,4,1,3]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]=>[4,2]
[5,2,6,4,3,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[5,1]
[5,3,1,2,4,6]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]=>[4,1,1]
[5,3,1,2,6,4]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[5,1]
[5,3,1,4,2,6]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]=>[4,2]
[5,3,1,4,6,2]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>[4,1,1]
[5,3,1,6,2,4]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]=>[4,1,1]
[5,3,1,6,4,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[5,1]
[5,3,2,1,4,6]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>[4,1,1]
[5,3,2,1,6,4]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[5,1]
[5,3,2,4,1,6]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]=>[4,1,1]
[5,3,2,4,6,1]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]=>[4,1,1]
[5,3,2,6,1,4]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]=>[4,2]
[5,3,2,6,4,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[5,1]
[5,3,4,1,2,6]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[5,1]
[5,3,4,1,6,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[5,1]
[5,3,4,2,1,6]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[5,1]
[5,3,4,2,6,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[5,1]
[5,3,4,6,1,2]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[5,1]
[5,3,4,6,2,1]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[5,1]
[5,3,6,1,2,4]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>[4,2]
[5,3,6,1,4,2]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]=>[4,2]
[5,3,6,2,1,4]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]=>[4,2]
[5,3,6,2,4,1]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>[4,2]
[5,3,6,4,1,2]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>[5,1]
[5,3,6,4,2,1]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>[5,1]
[5,4,1,2,3,6]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>[5,1]
[5,4,1,2,6,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[5,1]
[5,4,1,3,2,6]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]=>[4,2]
[5,4,1,3,6,2]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>[4,1,1]
[5,4,1,6,2,3]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[5,1]
[5,4,1,6,3,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[5,1]
[5,4,2,1,3,6]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>[4,1,1]
[5,4,2,1,6,3]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[5,1]
[5,4,2,3,1,6]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[5,1]
[5,4,2,3,6,1]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>[5,1]
[5,4,2,6,1,3]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]=>[4,2]
[5,4,2,6,3,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[5,1]
[5,4,3,1,2,6]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[5,1]
[5,4,3,1,6,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[5,1]
[5,4,3,2,1,6]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[5,1]
[5,4,3,2,6,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[5,1]
[5,4,3,6,1,2]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>[5,1]
[5,4,3,6,2,1]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>[5,1]
[5,4,6,1,2,3]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[5,1]
[5,4,6,1,3,2]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>[4,2]
[5,4,6,2,1,3]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>[4,2]
[5,4,6,2,3,1]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[5,1]
[5,4,6,3,1,2]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[5,1]
[5,4,6,3,2,1]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[5,1]
[5,6,1,2,3,4]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6]
[5,6,1,2,4,3]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[5,1]
[5,6,1,3,2,4]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[5,1]
[5,6,1,3,4,2]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]=>[4,1,1]
[5,6,1,4,2,3]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>[5,1]
[5,6,1,4,3,2]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>[5,1]
[5,6,2,1,3,4]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]=>[4,1,1]
[5,6,2,1,4,3]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>[5,1]
[5,6,2,3,1,4]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>[5,1]
[5,6,2,3,4,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6]
[5,6,2,4,1,3]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[5,1]
[5,6,2,4,3,1]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[5,1]
[5,6,3,1,2,4]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[5,1]
[5,6,3,1,4,2]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>[5,1]
[5,6,3,2,1,4]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>[5,1]
[5,6,3,2,4,1]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[5,1]
[5,6,3,4,1,2]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6]
[5,6,3,4,2,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6]
[5,6,4,1,2,3]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6]
[5,6,4,1,3,2]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[5,1]
[5,6,4,2,1,3]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[5,1]
[5,6,4,2,3,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6]
[5,6,4,3,1,2]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6]
[5,6,4,3,2,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6]
[6,1,2,3,4,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6]
[6,1,2,3,5,4]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[5,1]
[6,1,2,4,3,5]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[5,1]
[6,1,2,4,5,3]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]=>[4,1,1]
[6,1,2,5,3,4]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>[5,1]
[6,1,2,5,4,3]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>[5,1]
[6,1,3,2,4,5]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[5,1]
[6,1,3,2,5,4]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>[4,2]
[6,1,3,4,2,5]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]=>[4,1,1]
[6,1,3,4,5,2]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]=>[4,1,1]
[6,1,3,5,2,4]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]=>[4,1,1]
[6,1,3,5,4,2]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]=>[4,1,1]
[6,1,4,2,3,5]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>[5,1]
[6,1,4,2,5,3]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]=>[4,2]
[6,1,4,3,2,5]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]=>[4,2]
[6,1,4,3,5,2]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>[5,1]
[6,1,4,5,2,3]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>[4,1,1]
[6,1,4,5,3,2]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>[4,1,1]
[6,1,5,2,3,4]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[5,1]
[6,1,5,2,4,3]=>[1,5,2,4,3,6]=>[1,5,4,2,3,6]=>[4,1,1]
[6,1,5,3,2,4]=>[1,5,2,4,3,6]=>[1,5,4,2,3,6]=>[4,1,1]
[6,1,5,3,4,2]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[5,1]
[6,1,5,4,2,3]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[5,1]
[6,1,5,4,3,2]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[5,1]
[6,2,1,3,4,5]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]=>[4,1,1]
[6,2,1,3,5,4]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]=>[4,1,1]
[6,2,1,4,3,5]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>[5,1]
[6,2,1,4,5,3]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>[4,1,1]
[6,2,1,5,3,4]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[5,1]
[6,2,1,5,4,3]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[5,1]
[6,2,3,1,4,5]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>[4,1,1]
[6,2,3,1,5,4]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[5,1]
[6,2,3,4,1,5]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[5,1]
[6,2,3,4,5,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6]
[6,2,3,5,1,4]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>[5,1]
[6,2,3,5,4,1]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[5,1]
[6,2,4,1,3,5]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]=>[4,1,1]
[6,2,4,1,5,3]=>[1,5,2,4,3,6]=>[1,5,4,2,3,6]=>[4,1,1]
[6,2,4,3,1,5]=>[1,5,2,4,3,6]=>[1,5,4,2,3,6]=>[4,1,1]
[6,2,4,3,5,1]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[5,1]
[6,2,4,5,1,3]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[5,1]
[6,2,4,5,3,1]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]=>[4,1,1]
[6,2,5,1,3,4]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]=>[4,1,1]
[6,2,5,1,4,3]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]=>[4,2]
[6,2,5,3,1,4]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]=>[4,2]
[6,2,5,3,4,1]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>[5,1]
[6,2,5,4,1,3]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>[4,2]
[6,2,5,4,3,1]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>[5,1]
[6,3,1,2,4,5]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]=>[4,1,1]
[6,3,1,2,5,4]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>[5,1]
[6,3,1,4,2,5]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]=>[4,2]
[6,3,1,4,5,2]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>[4,1,1]
[6,3,1,5,2,4]=>[1,5,2,4,3,6]=>[1,5,4,2,3,6]=>[4,1,1]
[6,3,1,5,4,2]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[5,1]
[6,3,2,1,4,5]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>[4,1,1]
[6,3,2,1,5,4]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[5,1]
[6,3,2,4,1,5]=>[1,5,2,4,3,6]=>[1,5,4,2,3,6]=>[4,1,1]
[6,3,2,4,5,1]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]=>[4,1,1]
[6,3,2,5,1,4]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]=>[4,2]
[6,3,2,5,4,1]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>[5,1]
[6,3,4,1,2,5]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>[5,1]
[6,3,4,1,5,2]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[5,1]
[6,3,4,2,1,5]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[5,1]
[6,3,4,2,5,1]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>[5,1]
[6,3,4,5,1,2]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6]
[6,3,4,5,2,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6]
[6,3,5,1,2,4]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[5,1]
[6,3,5,1,4,2]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>[5,1]
[6,3,5,2,1,4]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>[5,1]
[6,3,5,2,4,1]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[5,1]
[6,3,5,4,1,2]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[5,1]
[6,3,5,4,2,1]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[5,1]
[6,4,1,2,3,5]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[5,1]
[6,4,1,2,5,3]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>[5,1]
[6,4,1,3,2,5]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>[4,2]
[6,4,1,3,5,2]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]=>[4,1,1]
[6,4,1,5,2,3]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[5,1]
[6,4,1,5,3,2]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[5,1]
[6,4,2,1,3,5]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]=>[4,1,1]
[6,4,2,1,5,3]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[5,1]
[6,4,2,3,1,5]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[5,1]
[6,4,2,3,5,1]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[5,1]
[6,4,2,5,1,3]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>[4,2]
[6,4,2,5,3,1]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>[5,1]
[6,4,3,1,2,5]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>[5,1]
[6,4,3,1,5,2]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[5,1]
[6,4,3,2,1,5]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[5,1]
[6,4,3,2,5,1]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>[5,1]
[6,4,3,5,1,2]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[5,1]
[6,4,3,5,2,1]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[5,1]
[6,4,5,1,2,3]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6]
[6,4,5,1,3,2]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[5,1]
[6,4,5,2,1,3]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[5,1]
[6,4,5,2,3,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6]
[6,4,5,3,1,2]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6]
[6,4,5,3,2,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6]
[6,5,1,2,3,4]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6]
[6,5,1,2,4,3]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[5,1]
[6,5,1,3,2,4]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[5,1]
[6,5,1,3,4,2]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]=>[4,1,1]
[6,5,1,4,2,3]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>[5,1]
[6,5,1,4,3,2]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>[5,1]
[6,5,2,1,3,4]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]=>[4,1,1]
[6,5,2,1,4,3]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>[5,1]
[6,5,2,3,1,4]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>[5,1]
[6,5,2,3,4,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6]
[6,5,2,4,1,3]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[5,1]
[6,5,2,4,3,1]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[5,1]
[6,5,3,1,2,4]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[5,1]
[6,5,3,1,4,2]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>[5,1]
[6,5,3,2,1,4]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>[5,1]
[6,5,3,2,4,1]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[5,1]
[6,5,3,4,1,2]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6]
[6,5,3,4,2,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6]
[6,5,4,1,2,3]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6]
[6,5,4,1,3,2]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[5,1]
[6,5,4,2,1,3]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[5,1]
[6,5,4,2,3,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6]
[6,5,4,3,1,2]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6]
[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6]
[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7]
[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[6,1]
[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[6,1]
[1,2,3,4,6,7,5]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[5,1,1]
[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[6,1]
[1,2,3,4,7,6,5]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[6,1]
[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[6,1]
[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[5,2]
[1,2,3,5,6,4,7]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[5,1,1]
[1,2,3,5,6,7,4]=>[1,2,3,5,6,7,4]=>[1,2,3,7,5,6,4]=>[5,1,1]
[1,2,3,5,7,4,6]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>[5,1,1]
[1,2,3,5,7,6,4]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>[5,1,1]
[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[6,1]
[1,2,3,6,4,7,5]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[5,2]
[1,2,3,6,5,4,7]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[5,2]
[1,2,3,6,5,7,4]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[6,1]
[1,2,3,6,7,4,5]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>[5,1,1]
[1,2,3,6,7,5,4]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>[5,1,1]
[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[6,1]
[1,2,3,7,4,6,5]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>[5,1,1]
[1,2,3,7,5,4,6]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>[5,1,1]
[1,2,3,7,5,6,4]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[6,1]
[1,2,3,7,6,4,5]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[6,1]
[1,2,3,7,6,5,4]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[6,1]
[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[6,1]
[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[5,2]
[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[5,2]
[1,2,4,3,6,7,5]=>[1,2,4,3,6,7,5]=>[1,2,4,3,7,6,5]=>[4,2,1]
[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[5,2]
[1,2,4,3,7,6,5]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[5,2]
[1,2,4,5,3,6,7]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[5,1,1]
[1,2,4,5,3,7,6]=>[1,2,4,5,3,7,6]=>[1,2,5,4,3,7,6]=>[4,2,1]
[1,2,4,5,6,3,7]=>[1,2,4,5,6,3,7]=>[1,2,6,4,5,3,7]=>[5,1,1]
[1,2,4,5,6,7,3]=>[1,2,4,5,6,7,3]=>[1,2,7,4,5,6,3]=>[5,1,1]
[1,2,4,5,7,3,6]=>[1,2,4,5,7,3,6]=>[1,2,7,4,5,3,6]=>[5,1,1]
[1,2,4,5,7,6,3]=>[1,2,4,5,7,3,6]=>[1,2,7,4,5,3,6]=>[5,1,1]
[1,2,4,6,3,5,7]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>[5,1,1]
[1,2,4,6,3,7,5]=>[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5]=>[4,2,1]
[1,2,4,6,5,3,7]=>[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5]=>[4,2,1]
[1,2,4,6,5,7,3]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>[5,1,1]
[1,2,4,6,7,3,5]=>[1,2,4,6,7,3,5]=>[1,2,7,4,3,6,5]=>[4,2,1]
[1,2,4,6,7,5,3]=>[1,2,4,6,7,3,5]=>[1,2,7,4,3,6,5]=>[4,2,1]
[1,2,4,7,3,5,6]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[5,1,1]
[1,2,4,7,3,6,5]=>[1,2,4,7,3,6,5]=>[1,2,7,4,6,3,5]=>[4,2,1]
[1,2,4,7,5,3,6]=>[1,2,4,7,3,6,5]=>[1,2,7,4,6,3,5]=>[4,2,1]
[1,2,4,7,5,6,3]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[5,1,1]
[1,2,4,7,6,3,5]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[5,1,1]
[1,2,4,7,6,5,3]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[5,1,1]
[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[6,1]
[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>[5,2]
[1,2,5,3,6,4,7]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[5,2]
[1,2,5,3,6,7,4]=>[1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4]=>[4,2,1]
[1,2,5,3,7,4,6]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[5,2]
[1,2,5,3,7,6,4]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[5,2]
[1,2,5,4,3,6,7]=>[1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4]=>[4,2,1]
[1,2,5,4,3,7,6]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[5,2]
[1,2,5,4,6,3,7]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[5,2]
[1,2,5,4,6,7,3]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[6,1]
[1,2,5,4,7,3,6]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[5,2]
[1,2,5,4,7,6,3]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>[5,2]
[1,2,5,6,3,4,7]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>[5,1,1]
[1,2,5,6,3,7,4]=>[1,2,5,6,3,7,4]=>[1,2,6,7,5,3,4]=>[4,2,1]
[1,2,5,6,4,3,7]=>[1,2,5,6,3,7,4]=>[1,2,6,7,5,3,4]=>[4,2,1]
[1,2,5,6,4,7,3]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>[5,1,1]
[1,2,5,6,7,3,4]=>[1,2,5,6,7,3,4]=>[1,2,7,3,5,6,4]=>[5,1,1]
[1,2,5,6,7,4,3]=>[1,2,5,6,7,3,4]=>[1,2,7,3,5,6,4]=>[5,1,1]
[1,2,5,7,3,4,6]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[5,1,1]
[1,2,5,7,3,6,4]=>[1,2,5,7,3,6,4]=>[1,2,7,6,5,3,4]=>[4,1,1,1]
[1,2,5,7,4,3,6]=>[1,2,5,7,3,6,4]=>[1,2,7,6,5,3,4]=>[4,1,1,1]
[1,2,5,7,4,6,3]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[5,1,1]
[1,2,5,7,6,3,4]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[5,1,1]
[1,2,5,7,6,4,3]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[5,1,1]
[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[6,1]
[1,2,6,3,4,7,5]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[5,2]
[1,2,6,3,5,4,7]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>[5,1,1]
[1,2,6,3,5,7,4]=>[1,2,6,3,5,7,4]=>[1,2,6,7,3,5,4]=>[4,2,1]
[1,2,6,3,7,4,5]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[4,2,1]
[1,2,6,3,7,5,4]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[4,2,1]
[1,2,6,4,3,5,7]=>[1,2,6,3,5,7,4]=>[1,2,6,7,3,5,4]=>[4,2,1]
[1,2,6,4,3,7,5]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[4,2,1]
[1,2,6,4,5,3,7]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[4,2,1]
[1,2,6,4,5,7,3]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[6,1]
[1,2,6,4,7,3,5]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>[5,1,1]
[1,2,6,4,7,5,3]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[5,2]
[1,2,6,5,3,4,7]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[5,2]
[1,2,6,5,3,7,4]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[4,2,1]
[1,2,6,5,4,3,7]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[4,2,1]
[1,2,6,5,4,7,3]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[5,2]
[1,2,6,5,7,3,4]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[6,1]
[1,2,6,5,7,4,3]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[6,1]
[1,2,6,7,3,4,5]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[5,1,1]
[1,2,6,7,3,5,4]=>[1,2,6,7,3,5,4]=>[1,2,7,5,3,6,4]=>[4,2,1]
[1,2,6,7,4,3,5]=>[1,2,6,7,3,5,4]=>[1,2,7,5,3,6,4]=>[4,2,1]
[1,2,6,7,4,5,3]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[5,1,1]
[1,2,6,7,5,3,4]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[5,1,1]
[1,2,6,7,5,4,3]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[5,1,1]
[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[1,2,7,3,4,6,5]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[5,1,1]
[1,2,7,3,5,4,6]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[5,1,1]
[1,2,7,3,5,6,4]=>[1,2,7,3,5,6,4]=>[1,2,7,6,3,5,4]=>[4,1,1,1]
[1,2,7,3,6,4,5]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[4,1,1,1]
[1,2,7,3,6,5,4]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[4,1,1,1]
[1,2,7,4,3,5,6]=>[1,2,7,3,5,6,4]=>[1,2,7,6,3,5,4]=>[4,1,1,1]
[1,2,7,4,3,6,5]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[4,1,1,1]
[1,2,7,4,5,3,6]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[4,1,1,1]
[1,2,7,4,5,6,3]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[1,2,7,4,6,3,5]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[5,1,1]
[1,2,7,4,6,5,3]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[5,1,1]
[1,2,7,5,3,4,6]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[5,1,1]
[1,2,7,5,3,6,4]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[4,1,1,1]
[1,2,7,5,4,3,6]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[4,1,1,1]
[1,2,7,5,4,6,3]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[5,1,1]
[1,2,7,5,6,3,4]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[1,2,7,5,6,4,3]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[1,2,7,6,3,4,5]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[1,2,7,6,3,5,4]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[5,1,1]
[1,2,7,6,4,3,5]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[5,1,1]
[1,2,7,6,4,5,3]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[1,2,7,6,5,3,4]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[1,2,7,6,5,4,3]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[6,1]
[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[5,2]
[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[5,2]
[1,3,2,4,6,7,5]=>[1,3,2,4,6,7,5]=>[1,3,2,4,7,6,5]=>[4,2,1]
[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[5,2]
[1,3,2,4,7,6,5]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[5,2]
[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[5,2]
[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[4,3]
[1,3,2,5,6,4,7]=>[1,3,2,5,6,4,7]=>[1,3,2,6,5,4,7]=>[4,2,1]
[1,3,2,5,6,7,4]=>[1,3,2,5,6,7,4]=>[1,3,2,7,5,6,4]=>[4,2,1]
[1,3,2,5,7,4,6]=>[1,3,2,5,7,4,6]=>[1,3,2,7,5,4,6]=>[4,2,1]
[1,3,2,5,7,6,4]=>[1,3,2,5,7,4,6]=>[1,3,2,7,5,4,6]=>[4,2,1]
[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[5,2]
[1,3,2,6,4,7,5]=>[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5]=>[4,3]
[1,3,2,6,5,4,7]=>[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5]=>[4,3]
[1,3,2,6,5,7,4]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[5,2]
[1,3,2,6,7,4,5]=>[1,3,2,6,7,4,5]=>[1,3,2,7,4,6,5]=>[4,2,1]
[1,3,2,6,7,5,4]=>[1,3,2,6,7,4,5]=>[1,3,2,7,4,6,5]=>[4,2,1]
[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[5,2]
[1,3,2,7,4,6,5]=>[1,3,2,7,4,6,5]=>[1,3,2,7,6,4,5]=>[4,2,1]
[1,3,2,7,5,4,6]=>[1,3,2,7,4,6,5]=>[1,3,2,7,6,4,5]=>[4,2,1]
[1,3,2,7,5,6,4]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[5,2]
[1,3,2,7,6,4,5]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[5,2]
[1,3,2,7,6,5,4]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[5,2]
[1,3,4,2,5,6,7]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[5,1,1]
[1,3,4,2,5,7,6]=>[1,3,4,2,5,7,6]=>[1,4,3,2,5,7,6]=>[4,2,1]
[1,3,4,2,6,5,7]=>[1,3,4,2,6,5,7]=>[1,4,3,2,6,5,7]=>[4,2,1]
[1,3,4,2,6,7,5]=>[1,3,4,2,6,7,5]=>[1,4,3,2,7,6,5]=>[3,2,2]
[1,3,4,2,7,5,6]=>[1,3,4,2,7,5,6]=>[1,4,3,2,7,5,6]=>[4,2,1]
[1,3,4,2,7,6,5]=>[1,3,4,2,7,5,6]=>[1,4,3,2,7,5,6]=>[4,2,1]
[1,3,4,5,2,6,7]=>[1,3,4,5,2,6,7]=>[1,5,3,4,2,6,7]=>[5,1,1]
[1,3,4,5,2,7,6]=>[1,3,4,5,2,7,6]=>[1,5,3,4,2,7,6]=>[4,2,1]
[1,3,4,5,6,2,7]=>[1,3,4,5,6,2,7]=>[1,6,3,4,5,2,7]=>[5,1,1]
[1,3,4,5,6,7,2]=>[1,3,4,5,6,7,2]=>[1,7,3,4,5,6,2]=>[5,1,1]
[1,3,4,5,7,2,6]=>[1,3,4,5,7,2,6]=>[1,7,3,4,5,2,6]=>[5,1,1]
[1,3,4,5,7,6,2]=>[1,3,4,5,7,2,6]=>[1,7,3,4,5,2,6]=>[5,1,1]
[1,3,4,6,2,5,7]=>[1,3,4,6,2,5,7]=>[1,6,3,4,2,5,7]=>[5,1,1]
[1,3,4,6,2,7,5]=>[1,3,4,6,2,7,5]=>[1,6,3,4,7,2,5]=>[4,2,1]
[1,3,4,6,5,2,7]=>[1,3,4,6,2,7,5]=>[1,6,3,4,7,2,5]=>[4,2,1]
[1,3,4,6,5,7,2]=>[1,3,4,6,2,5,7]=>[1,6,3,4,2,5,7]=>[5,1,1]
[1,3,4,6,7,2,5]=>[1,3,4,6,7,2,5]=>[1,7,3,4,2,6,5]=>[4,2,1]
[1,3,4,6,7,5,2]=>[1,3,4,6,7,2,5]=>[1,7,3,4,2,6,5]=>[4,2,1]
[1,3,4,7,2,5,6]=>[1,3,4,7,2,5,6]=>[1,7,3,4,2,5,6]=>[5,1,1]
[1,3,4,7,2,6,5]=>[1,3,4,7,2,6,5]=>[1,7,3,4,6,2,5]=>[4,2,1]
[1,3,4,7,5,2,6]=>[1,3,4,7,2,6,5]=>[1,7,3,4,6,2,5]=>[4,2,1]
[1,3,4,7,5,6,2]=>[1,3,4,7,2,5,6]=>[1,7,3,4,2,5,6]=>[5,1,1]
[1,3,4,7,6,2,5]=>[1,3,4,7,2,5,6]=>[1,7,3,4,2,5,6]=>[5,1,1]
[1,3,4,7,6,5,2]=>[1,3,4,7,2,5,6]=>[1,7,3,4,2,5,6]=>[5,1,1]
[1,3,5,2,4,6,7]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>[5,1,1]
[1,3,5,2,4,7,6]=>[1,3,5,2,4,7,6]=>[1,5,3,2,4,7,6]=>[4,2,1]
[1,3,5,2,6,4,7]=>[1,3,5,2,6,4,7]=>[1,5,3,6,2,4,7]=>[4,2,1]
[1,3,5,2,6,7,4]=>[1,3,5,2,6,7,4]=>[1,5,3,7,2,6,4]=>[3,2,2]
[1,3,5,2,7,4,6]=>[1,3,5,2,7,4,6]=>[1,5,3,7,2,4,6]=>[4,2,1]
[1,3,5,2,7,6,4]=>[1,3,5,2,7,4,6]=>[1,5,3,7,2,4,6]=>[4,2,1]
[1,3,5,4,2,6,7]=>[1,3,5,2,6,7,4]=>[1,5,3,7,2,6,4]=>[3,2,2]
[1,3,5,4,2,7,6]=>[1,3,5,2,7,4,6]=>[1,5,3,7,2,4,6]=>[4,2,1]
[1,3,5,4,6,2,7]=>[1,3,5,2,7,4,6]=>[1,5,3,7,2,4,6]=>[4,2,1]
[1,3,5,4,6,7,2]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>[5,1,1]
[1,3,5,4,7,2,6]=>[1,3,5,2,6,4,7]=>[1,5,3,6,2,4,7]=>[4,2,1]
[1,3,5,4,7,6,2]=>[1,3,5,2,4,7,6]=>[1,5,3,2,4,7,6]=>[4,2,1]
[1,3,5,6,2,4,7]=>[1,3,5,6,2,4,7]=>[1,6,3,2,5,4,7]=>[4,2,1]
[1,3,5,6,2,7,4]=>[1,3,5,6,2,7,4]=>[1,6,3,7,5,2,4]=>[3,2,2]
[1,3,5,6,4,2,7]=>[1,3,5,6,2,7,4]=>[1,6,3,7,5,2,4]=>[3,2,2]
[1,3,5,6,4,7,2]=>[1,3,5,6,2,4,7]=>[1,6,3,2,5,4,7]=>[4,2,1]
[1,3,5,6,7,2,4]=>[1,3,5,6,7,2,4]=>[1,7,3,2,5,6,4]=>[4,2,1]
[1,3,5,6,7,4,2]=>[1,3,5,6,7,2,4]=>[1,7,3,2,5,6,4]=>[4,2,1]
[1,3,5,7,2,4,6]=>[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]=>[4,2,1]
[1,3,5,7,2,6,4]=>[1,3,5,7,2,6,4]=>[1,7,3,6,5,2,4]=>[3,2,1,1]
[1,3,5,7,4,2,6]=>[1,3,5,7,2,6,4]=>[1,7,3,6,5,2,4]=>[3,2,1,1]
[1,3,5,7,4,6,2]=>[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]=>[4,2,1]
[1,3,5,7,6,2,4]=>[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]=>[4,2,1]
[1,3,5,7,6,4,2]=>[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]=>[4,2,1]
[1,3,6,2,4,5,7]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[5,1,1]
[1,3,6,2,4,7,5]=>[1,3,6,2,4,7,5]=>[1,6,3,2,7,4,5]=>[4,2,1]
[1,3,6,2,5,4,7]=>[1,3,6,2,5,4,7]=>[1,6,3,5,2,4,7]=>[4,2,1]
[1,3,6,2,5,7,4]=>[1,3,6,2,5,7,4]=>[1,6,3,7,2,5,4]=>[3,2,2]
[1,3,6,2,7,4,5]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>[4,2,1]
[1,3,6,2,7,5,4]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>[4,2,1]
[1,3,6,4,2,5,7]=>[1,3,6,2,5,7,4]=>[1,6,3,7,2,5,4]=>[3,2,2]
[1,3,6,4,2,7,5]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>[4,2,1]
[1,3,6,4,5,2,7]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>[4,2,1]
[1,3,6,4,5,7,2]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[5,1,1]
[1,3,6,4,7,2,5]=>[1,3,6,2,5,4,7]=>[1,6,3,5,2,4,7]=>[4,2,1]
[1,3,6,4,7,5,2]=>[1,3,6,2,4,7,5]=>[1,6,3,2,7,4,5]=>[4,2,1]
[1,3,6,5,2,4,7]=>[1,3,6,2,4,7,5]=>[1,6,3,2,7,4,5]=>[4,2,1]
[1,3,6,5,2,7,4]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>[4,2,1]
[1,3,6,5,4,2,7]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>[4,2,1]
[1,3,6,5,4,7,2]=>[1,3,6,2,4,7,5]=>[1,6,3,2,7,4,5]=>[4,2,1]
[1,3,6,5,7,2,4]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[5,1,1]
[1,3,6,5,7,4,2]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[5,1,1]
[1,3,6,7,2,4,5]=>[1,3,6,7,2,4,5]=>[1,7,3,2,4,6,5]=>[4,2,1]
[1,3,6,7,2,5,4]=>[1,3,6,7,2,5,4]=>[1,7,3,5,2,6,4]=>[4,2,1]
[1,3,6,7,4,2,5]=>[1,3,6,7,2,5,4]=>[1,7,3,5,2,6,4]=>[4,2,1]
[1,3,6,7,4,5,2]=>[1,3,6,7,2,4,5]=>[1,7,3,2,4,6,5]=>[4,2,1]
[1,3,6,7,5,2,4]=>[1,3,6,7,2,4,5]=>[1,7,3,2,4,6,5]=>[4,2,1]
[1,3,6,7,5,4,2]=>[1,3,6,7,2,4,5]=>[1,7,3,2,4,6,5]=>[4,2,1]
[1,3,7,2,4,5,6]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[5,1,1]
[1,3,7,2,4,6,5]=>[1,3,7,2,4,6,5]=>[1,7,3,2,6,4,5]=>[4,2,1]
[1,3,7,2,5,4,6]=>[1,3,7,2,5,4,6]=>[1,7,3,5,2,4,6]=>[4,2,1]
[1,3,7,2,5,6,4]=>[1,3,7,2,5,6,4]=>[1,7,3,6,2,5,4]=>[3,2,1,1]
[1,3,7,2,6,4,5]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>[4,1,1,1]
[1,3,7,2,6,5,4]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>[4,1,1,1]
[1,3,7,4,2,5,6]=>[1,3,7,2,5,6,4]=>[1,7,3,6,2,5,4]=>[3,2,1,1]
[1,3,7,4,2,6,5]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>[4,1,1,1]
[1,3,7,4,5,2,6]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>[4,1,1,1]
[1,3,7,4,5,6,2]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[5,1,1]
[1,3,7,4,6,2,5]=>[1,3,7,2,5,4,6]=>[1,7,3,5,2,4,6]=>[4,2,1]
[1,3,7,4,6,5,2]=>[1,3,7,2,4,6,5]=>[1,7,3,2,6,4,5]=>[4,2,1]
[1,3,7,5,2,4,6]=>[1,3,7,2,4,6,5]=>[1,7,3,2,6,4,5]=>[4,2,1]
[1,3,7,5,2,6,4]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>[4,1,1,1]
[1,3,7,5,4,2,6]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>[4,1,1,1]
[1,3,7,5,4,6,2]=>[1,3,7,2,4,6,5]=>[1,7,3,2,6,4,5]=>[4,2,1]
[1,3,7,5,6,2,4]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[5,1,1]
[1,3,7,5,6,4,2]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[5,1,1]
[1,3,7,6,2,4,5]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[5,1,1]
[1,3,7,6,2,5,4]=>[1,3,7,2,5,4,6]=>[1,7,3,5,2,4,6]=>[4,2,1]
[1,3,7,6,4,2,5]=>[1,3,7,2,5,4,6]=>[1,7,3,5,2,4,6]=>[4,2,1]
[1,3,7,6,4,5,2]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[5,1,1]
[1,3,7,6,5,2,4]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[5,1,1]
[1,3,7,6,5,4,2]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[5,1,1]
[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[6,1]
[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[5,2]
[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[5,2]
[1,4,2,3,6,7,5]=>[1,4,2,3,6,7,5]=>[1,4,2,3,7,6,5]=>[4,2,1]
[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[5,2]
[1,4,2,3,7,6,5]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[5,2]
[1,4,2,5,3,6,7]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[5,2]
[1,4,2,5,3,7,6]=>[1,4,2,5,3,7,6]=>[1,4,5,2,3,7,6]=>[4,3]
[1,4,2,5,6,3,7]=>[1,4,2,5,6,3,7]=>[1,4,6,2,5,3,7]=>[4,2,1]
[1,4,2,5,6,7,3]=>[1,4,2,5,6,7,3]=>[1,4,7,2,5,6,3]=>[4,2,1]
[1,4,2,5,7,3,6]=>[1,4,2,5,7,3,6]=>[1,4,7,2,5,3,6]=>[4,2,1]
[1,4,2,5,7,6,3]=>[1,4,2,5,7,3,6]=>[1,4,7,2,5,3,6]=>[4,2,1]
[1,4,2,6,3,5,7]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[5,2]
[1,4,2,6,3,7,5]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[4,3]
[1,4,2,6,5,3,7]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[4,3]
[1,4,2,6,5,7,3]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[5,2]
[1,4,2,6,7,3,5]=>[1,4,2,6,7,3,5]=>[1,4,7,2,3,6,5]=>[4,2,1]
[1,4,2,6,7,5,3]=>[1,4,2,6,7,3,5]=>[1,4,7,2,3,6,5]=>[4,2,1]
[1,4,2,7,3,5,6]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[5,2]
[1,4,2,7,3,6,5]=>[1,4,2,7,3,6,5]=>[1,4,7,2,6,3,5]=>[4,2,1]
[1,4,2,7,5,3,6]=>[1,4,2,7,3,6,5]=>[1,4,7,2,6,3,5]=>[4,2,1]
[1,4,2,7,5,6,3]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[5,2]
[1,4,2,7,6,3,5]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[5,2]
[1,4,2,7,6,5,3]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[5,2]
[1,4,3,2,5,6,7]=>[1,4,2,5,6,7,3]=>[1,4,7,2,5,6,3]=>[4,2,1]
[1,4,3,2,5,7,6]=>[1,4,2,5,7,3,6]=>[1,4,7,2,5,3,6]=>[4,2,1]
[1,4,3,2,6,5,7]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[5,2]
[1,4,3,2,6,7,5]=>[1,4,2,6,7,3,5]=>[1,4,7,2,3,6,5]=>[4,2,1]
[1,4,3,2,7,5,6]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[5,2]
[1,4,3,2,7,6,5]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[5,2]
[1,4,3,5,2,6,7]=>[1,4,2,6,7,3,5]=>[1,4,7,2,3,6,5]=>[4,2,1]
[1,4,3,5,2,7,6]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[5,2]
[1,4,3,5,6,2,7]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[5,2]
[1,4,3,5,6,7,2]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[6,1]
[1,4,3,5,7,2,6]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[5,2]
[1,4,3,5,7,6,2]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[5,2]
[1,4,3,6,2,5,7]=>[1,4,2,5,7,3,6]=>[1,4,7,2,5,3,6]=>[4,2,1]
[1,4,3,6,2,7,5]=>[1,4,2,7,3,6,5]=>[1,4,7,2,6,3,5]=>[4,2,1]
[1,4,3,6,5,2,7]=>[1,4,2,7,3,6,5]=>[1,4,7,2,6,3,5]=>[4,2,1]
[1,4,3,6,5,7,2]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[5,2]
[1,4,3,6,7,2,5]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[5,2]
[1,4,3,6,7,5,2]=>[1,4,2,3,6,7,5]=>[1,4,2,3,7,6,5]=>[4,2,1]
[1,4,3,7,2,5,6]=>[1,4,2,5,6,3,7]=>[1,4,6,2,5,3,7]=>[4,2,1]
[1,4,3,7,2,6,5]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[4,3]
[1,4,3,7,5,2,6]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[4,3]
[1,4,3,7,5,6,2]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[5,2]
[1,4,3,7,6,2,5]=>[1,4,2,5,3,7,6]=>[1,4,5,2,3,7,6]=>[4,3]
[1,4,3,7,6,5,2]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[5,2]
[1,4,5,2,3,6,7]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>[5,1,1]
[1,4,5,2,3,7,6]=>[1,4,5,2,3,7,6]=>[1,5,2,4,3,7,6]=>[4,2,1]
[1,4,5,2,6,3,7]=>[1,4,5,2,6,3,7]=>[1,5,6,4,2,3,7]=>[4,2,1]
[1,4,5,2,6,7,3]=>[1,4,5,2,6,7,3]=>[1,5,7,4,2,6,3]=>[3,2,2]
[1,4,5,2,7,3,6]=>[1,4,5,2,7,3,6]=>[1,5,7,4,2,3,6]=>[4,2,1]
[1,4,5,2,7,6,3]=>[1,4,5,2,7,3,6]=>[1,5,7,4,2,3,6]=>[4,2,1]
[1,4,5,3,2,6,7]=>[1,4,5,2,6,7,3]=>[1,5,7,4,2,6,3]=>[3,2,2]
[1,4,5,3,2,7,6]=>[1,4,5,2,7,3,6]=>[1,5,7,4,2,3,6]=>[4,2,1]
[1,4,5,3,6,2,7]=>[1,4,5,2,7,3,6]=>[1,5,7,4,2,3,6]=>[4,2,1]
[1,4,5,3,6,7,2]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>[5,1,1]
[1,4,5,3,7,2,6]=>[1,4,5,2,6,3,7]=>[1,5,6,4,2,3,7]=>[4,2,1]
[1,4,5,3,7,6,2]=>[1,4,5,2,3,7,6]=>[1,5,2,4,3,7,6]=>[4,2,1]
[1,4,5,6,2,3,7]=>[1,4,5,6,2,3,7]=>[1,6,2,4,5,3,7]=>[5,1,1]
[1,4,5,6,2,7,3]=>[1,4,5,6,2,7,3]=>[1,6,7,4,5,2,3]=>[3,2,2]
[1,4,5,6,3,2,7]=>[1,4,5,6,2,7,3]=>[1,6,7,4,5,2,3]=>[3,2,2]
[1,4,5,6,3,7,2]=>[1,4,5,6,2,3,7]=>[1,6,2,4,5,3,7]=>[5,1,1]
[1,4,5,6,7,2,3]=>[1,4,5,6,7,2,3]=>[1,7,2,4,5,6,3]=>[5,1,1]
[1,4,5,6,7,3,2]=>[1,4,5,6,7,2,3]=>[1,7,2,4,5,6,3]=>[5,1,1]
[1,4,5,7,2,3,6]=>[1,4,5,7,2,3,6]=>[1,7,2,4,5,3,6]=>[5,1,1]
[1,4,5,7,2,6,3]=>[1,4,5,7,2,6,3]=>[1,7,6,4,5,2,3]=>[3,2,1,1]
[1,4,5,7,3,2,6]=>[1,4,5,7,2,6,3]=>[1,7,6,4,5,2,3]=>[3,2,1,1]
[1,4,5,7,3,6,2]=>[1,4,5,7,2,3,6]=>[1,7,2,4,5,3,6]=>[5,1,1]
[1,4,5,7,6,2,3]=>[1,4,5,7,2,3,6]=>[1,7,2,4,5,3,6]=>[5,1,1]
[1,4,5,7,6,3,2]=>[1,4,5,7,2,3,6]=>[1,7,2,4,5,3,6]=>[5,1,1]
[1,4,6,2,3,5,7]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[5,1,1]
[1,4,6,2,3,7,5]=>[1,4,6,2,3,7,5]=>[1,6,2,4,7,3,5]=>[4,2,1]
[1,4,6,2,5,3,7]=>[1,4,6,2,5,3,7]=>[1,6,5,4,2,3,7]=>[4,1,1,1]
[1,4,6,2,5,7,3]=>[1,4,6,2,5,7,3]=>[1,6,7,4,2,5,3]=>[3,2,2]
[1,4,6,2,7,3,5]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>[3,2,1,1]
[1,4,6,2,7,5,3]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>[3,2,1,1]
[1,4,6,3,2,5,7]=>[1,4,6,2,5,7,3]=>[1,6,7,4,2,5,3]=>[3,2,2]
[1,4,6,3,2,7,5]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>[3,2,1,1]
[1,4,6,3,5,2,7]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>[3,2,1,1]
[1,4,6,3,5,7,2]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[5,1,1]
[1,4,6,3,7,2,5]=>[1,4,6,2,5,3,7]=>[1,6,5,4,2,3,7]=>[4,1,1,1]
[1,4,6,3,7,5,2]=>[1,4,6,2,3,7,5]=>[1,6,2,4,7,3,5]=>[4,2,1]
[1,4,6,5,2,3,7]=>[1,4,6,2,3,7,5]=>[1,6,2,4,7,3,5]=>[4,2,1]
[1,4,6,5,2,7,3]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>[3,2,1,1]
[1,4,6,5,3,2,7]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>[3,2,1,1]
[1,4,6,5,3,7,2]=>[1,4,6,2,3,7,5]=>[1,6,2,4,7,3,5]=>[4,2,1]
[1,4,6,5,7,2,3]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[5,1,1]
[1,4,6,5,7,3,2]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[5,1,1]
[1,4,6,7,2,3,5]=>[1,4,6,7,2,3,5]=>[1,7,2,4,3,6,5]=>[4,2,1]
[1,4,6,7,2,5,3]=>[1,4,6,7,2,5,3]=>[1,7,5,4,2,6,3]=>[3,2,1,1]
[1,4,6,7,3,2,5]=>[1,4,6,7,2,5,3]=>[1,7,5,4,2,6,3]=>[3,2,1,1]
[1,4,6,7,3,5,2]=>[1,4,6,7,2,3,5]=>[1,7,2,4,3,6,5]=>[4,2,1]
[1,4,6,7,5,2,3]=>[1,4,6,7,2,3,5]=>[1,7,2,4,3,6,5]=>[4,2,1]
[1,4,6,7,5,3,2]=>[1,4,6,7,2,3,5]=>[1,7,2,4,3,6,5]=>[4,2,1]
[1,4,7,2,3,5,6]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[5,1,1]
[1,4,7,2,3,6,5]=>[1,4,7,2,3,6,5]=>[1,7,2,4,6,3,5]=>[4,2,1]
[1,4,7,2,5,3,6]=>[1,4,7,2,5,3,6]=>[1,7,5,4,2,3,6]=>[4,1,1,1]
[1,4,7,2,5,6,3]=>[1,4,7,2,5,6,3]=>[1,7,6,4,2,5,3]=>[3,2,1,1]
[1,4,7,2,6,3,5]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>[3,1,1,1,1]
[1,4,7,2,6,5,3]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>[3,1,1,1,1]
[1,4,7,3,2,5,6]=>[1,4,7,2,5,6,3]=>[1,7,6,4,2,5,3]=>[3,2,1,1]
[1,4,7,3,2,6,5]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>[3,1,1,1,1]
[1,4,7,3,5,2,6]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>[3,1,1,1,1]
[1,4,7,3,5,6,2]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[5,1,1]
[1,4,7,3,6,2,5]=>[1,4,7,2,5,3,6]=>[1,7,5,4,2,3,6]=>[4,1,1,1]
[1,4,7,3,6,5,2]=>[1,4,7,2,3,6,5]=>[1,7,2,4,6,3,5]=>[4,2,1]
[1,4,7,5,2,3,6]=>[1,4,7,2,3,6,5]=>[1,7,2,4,6,3,5]=>[4,2,1]
[1,4,7,5,2,6,3]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>[3,1,1,1,1]
[1,4,7,5,3,2,6]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>[3,1,1,1,1]
[1,4,7,5,3,6,2]=>[1,4,7,2,3,6,5]=>[1,7,2,4,6,3,5]=>[4,2,1]
[1,4,7,5,6,2,3]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[5,1,1]
[1,4,7,5,6,3,2]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[5,1,1]
[1,4,7,6,2,3,5]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[5,1,1]
[1,4,7,6,2,5,3]=>[1,4,7,2,5,3,6]=>[1,7,5,4,2,3,6]=>[4,1,1,1]
[1,4,7,6,3,2,5]=>[1,4,7,2,5,3,6]=>[1,7,5,4,2,3,6]=>[4,1,1,1]
[1,4,7,6,3,5,2]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[5,1,1]
[1,4,7,6,5,2,3]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[5,1,1]
[1,4,7,6,5,3,2]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[5,1,1]
[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[6,1]
[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[5,2]
[1,5,2,3,6,4,7]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[5,2]
[1,5,2,3,6,7,4]=>[1,5,2,3,6,7,4]=>[1,5,2,7,3,6,4]=>[4,2,1]
[1,5,2,3,7,4,6]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[5,2]
[1,5,2,3,7,6,4]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[5,2]
[1,5,2,4,3,6,7]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>[5,1,1]
[1,5,2,4,3,7,6]=>[1,5,2,4,3,7,6]=>[1,5,4,2,3,7,6]=>[4,2,1]
[1,5,2,4,6,3,7]=>[1,5,2,4,6,3,7]=>[1,5,6,2,4,3,7]=>[4,2,1]
[1,5,2,4,6,7,3]=>[1,5,2,4,6,7,3]=>[1,5,7,2,4,6,3]=>[4,2,1]
[1,5,2,4,7,3,6]=>[1,5,2,4,7,3,6]=>[1,5,7,2,4,3,6]=>[4,2,1]
[1,5,2,4,7,6,3]=>[1,5,2,4,7,3,6]=>[1,5,7,2,4,3,6]=>[4,2,1]
[1,5,2,6,3,4,7]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[4,2,1]
[1,5,2,6,3,7,4]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[4,3]
[1,5,2,6,4,3,7]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[4,3]
[1,5,2,6,4,7,3]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[4,2,1]
[1,5,2,6,7,3,4]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>[3,2,2]
[1,5,2,6,7,4,3]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>[3,2,2]
[1,5,2,7,3,4,6]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[4,2,1]
[1,5,2,7,3,6,4]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>[4,2,1]
[1,5,2,7,4,3,6]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>[4,2,1]
[1,5,2,7,4,6,3]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[4,2,1]
[1,5,2,7,6,3,4]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[4,2,1]
[1,5,2,7,6,4,3]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[4,2,1]
[1,5,3,2,4,6,7]=>[1,5,2,4,6,7,3]=>[1,5,7,2,4,6,3]=>[4,2,1]
[1,5,3,2,4,7,6]=>[1,5,2,4,7,3,6]=>[1,5,7,2,4,3,6]=>[4,2,1]
[1,5,3,2,6,4,7]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[4,2,1]
[1,5,3,2,6,7,4]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>[3,2,2]
[1,5,3,2,7,4,6]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[4,2,1]
[1,5,3,2,7,6,4]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[4,2,1]
[1,5,3,4,2,6,7]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>[3,2,2]
[1,5,3,4,2,7,6]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[4,2,1]
[1,5,3,4,6,2,7]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[4,2,1]
[1,5,3,4,6,7,2]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[6,1]
[1,5,3,4,7,2,6]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[4,2,1]
[1,5,3,4,7,6,2]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[5,2]
[1,5,3,6,2,4,7]=>[1,5,2,4,7,3,6]=>[1,5,7,2,4,3,6]=>[4,2,1]
[1,5,3,6,2,7,4]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>[4,2,1]
[1,5,3,6,4,2,7]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>[4,2,1]
[1,5,3,6,4,7,2]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[5,2]
[1,5,3,6,7,2,4]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>[5,1,1]
[1,5,3,6,7,4,2]=>[1,5,2,3,6,7,4]=>[1,5,2,7,3,6,4]=>[4,2,1]
[1,5,3,7,2,4,6]=>[1,5,2,4,6,3,7]=>[1,5,6,2,4,3,7]=>[4,2,1]
[1,5,3,7,2,6,4]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[4,3]
[1,5,3,7,4,2,6]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[4,3]
[1,5,3,7,4,6,2]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[5,2]
[1,5,3,7,6,2,4]=>[1,5,2,4,3,7,6]=>[1,5,4,2,3,7,6]=>[4,2,1]
[1,5,3,7,6,4,2]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[5,2]
[1,5,4,2,3,6,7]=>[1,5,2,3,6,7,4]=>[1,5,2,7,3,6,4]=>[4,2,1]
[1,5,4,2,3,7,6]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[5,2]
[1,5,4,2,6,3,7]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[4,3]
[1,5,4,2,6,7,3]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>[3,2,2]
[1,5,4,2,7,3,6]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>[4,2,1]
[1,5,4,2,7,6,3]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[4,2,1]
[1,5,4,3,2,6,7]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>[3,2,2]
[1,5,4,3,2,7,6]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[4,2,1]
[1,5,4,3,6,2,7]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>[4,2,1]
[1,5,4,3,6,7,2]=>[1,5,2,3,6,7,4]=>[1,5,2,7,3,6,4]=>[4,2,1]
[1,5,4,3,7,2,6]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[4,3]
[1,5,4,3,7,6,2]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[5,2]
[1,5,4,6,2,3,7]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[5,2]
[1,5,4,6,2,7,3]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[4,2,1]
[1,5,4,6,3,2,7]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[4,2,1]
[1,5,4,6,3,7,2]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[5,2]
[1,5,4,6,7,2,3]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[6,1]
[1,5,4,6,7,3,2]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[6,1]
[1,5,4,7,2,3,6]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[5,2]
[1,5,4,7,2,6,3]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[4,2,1]
[1,5,4,7,3,2,6]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[4,2,1]
[1,5,4,7,3,6,2]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[5,2]
[1,5,4,7,6,2,3]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[5,2]
[1,5,4,7,6,3,2]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[5,2]
[1,5,6,2,3,4,7]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[5,1,1]
[1,5,6,2,3,7,4]=>[1,5,6,2,3,7,4]=>[1,6,2,7,5,3,4]=>[4,2,1]
[1,5,6,2,4,3,7]=>[1,5,6,2,4,3,7]=>[1,6,4,2,5,3,7]=>[4,2,1]
[1,5,6,2,4,7,3]=>[1,5,6,2,4,7,3]=>[1,6,7,2,5,4,3]=>[3,2,1,1]
[1,5,6,2,7,3,4]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>[3,2,2]
[1,5,6,2,7,4,3]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>[3,2,2]
[1,5,6,3,2,4,7]=>[1,5,6,2,4,7,3]=>[1,6,7,2,5,4,3]=>[3,2,1,1]
[1,5,6,3,2,7,4]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>[3,2,2]
[1,5,6,3,4,2,7]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>[3,2,2]
[1,5,6,3,4,7,2]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[5,1,1]
[1,5,6,3,7,2,4]=>[1,5,6,2,4,3,7]=>[1,6,4,2,5,3,7]=>[4,2,1]
[1,5,6,3,7,4,2]=>[1,5,6,2,3,7,4]=>[1,6,2,7,5,3,4]=>[4,2,1]
[1,5,6,4,2,3,7]=>[1,5,6,2,3,7,4]=>[1,6,2,7,5,3,4]=>[4,2,1]
[1,5,6,4,2,7,3]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>[3,2,2]
[1,5,6,4,3,2,7]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>[3,2,2]
[1,5,6,4,3,7,2]=>[1,5,6,2,3,7,4]=>[1,6,2,7,5,3,4]=>[4,2,1]
[1,5,6,4,7,2,3]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[5,1,1]
[1,5,6,4,7,3,2]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[5,1,1]
[1,5,6,7,2,3,4]=>[1,5,6,7,2,3,4]=>[1,7,2,3,5,6,4]=>[5,1,1]
[1,5,6,7,2,4,3]=>[1,5,6,7,2,4,3]=>[1,7,4,2,5,6,3]=>[4,2,1]
[1,5,6,7,3,2,4]=>[1,5,6,7,2,4,3]=>[1,7,4,2,5,6,3]=>[4,2,1]
[1,5,6,7,3,4,2]=>[1,5,6,7,2,3,4]=>[1,7,2,3,5,6,4]=>[5,1,1]
[1,5,6,7,4,2,3]=>[1,5,6,7,2,3,4]=>[1,7,2,3,5,6,4]=>[5,1,1]
[1,5,6,7,4,3,2]=>[1,5,6,7,2,3,4]=>[1,7,2,3,5,6,4]=>[5,1,1]
[1,5,7,2,3,4,6]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[5,1,1]
[1,5,7,2,3,6,4]=>[1,5,7,2,3,6,4]=>[1,7,2,6,5,3,4]=>[4,1,1,1]
[1,5,7,2,4,3,6]=>[1,5,7,2,4,3,6]=>[1,7,4,2,5,3,6]=>[4,2,1]
[1,5,7,2,4,6,3]=>[1,5,7,2,4,6,3]=>[1,7,6,2,5,4,3]=>[3,1,1,1,1]
[1,5,7,2,6,3,4]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>[3,2,1,1]
[1,5,7,2,6,4,3]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>[3,2,1,1]
[1,5,7,3,2,4,6]=>[1,5,7,2,4,6,3]=>[1,7,6,2,5,4,3]=>[3,1,1,1,1]
[1,5,7,3,2,6,4]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>[3,2,1,1]
[1,5,7,3,4,2,6]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>[3,2,1,1]
[1,5,7,3,4,6,2]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[5,1,1]
[1,5,7,3,6,2,4]=>[1,5,7,2,4,3,6]=>[1,7,4,2,5,3,6]=>[4,2,1]
[1,5,7,3,6,4,2]=>[1,5,7,2,3,6,4]=>[1,7,2,6,5,3,4]=>[4,1,1,1]
[1,5,7,4,2,3,6]=>[1,5,7,2,3,6,4]=>[1,7,2,6,5,3,4]=>[4,1,1,1]
[1,5,7,4,2,6,3]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>[3,2,1,1]
[1,5,7,4,3,2,6]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>[3,2,1,1]
[1,5,7,4,3,6,2]=>[1,5,7,2,3,6,4]=>[1,7,2,6,5,3,4]=>[4,1,1,1]
[1,5,7,4,6,2,3]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[5,1,1]
[1,5,7,4,6,3,2]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[5,1,1]
[1,5,7,6,2,3,4]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[5,1,1]
[1,5,7,6,2,4,3]=>[1,5,7,2,4,3,6]=>[1,7,4,2,5,3,6]=>[4,2,1]
[1,5,7,6,3,2,4]=>[1,5,7,2,4,3,6]=>[1,7,4,2,5,3,6]=>[4,2,1]
[1,5,7,6,3,4,2]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[5,1,1]
[1,5,7,6,4,2,3]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[5,1,1]
[1,5,7,6,4,3,2]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[5,1,1]
[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[1,6,2,3,4,7,5]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[5,2]
[1,6,2,3,5,4,7]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[5,1,1]
[1,6,2,3,5,7,4]=>[1,6,2,3,5,7,4]=>[1,6,2,7,3,5,4]=>[4,2,1]
[1,6,2,3,7,4,5]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[4,2,1]
[1,6,2,3,7,5,4]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[4,2,1]
[1,6,2,4,3,5,7]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[5,1,1]
[1,6,2,4,3,7,5]=>[1,6,2,4,3,7,5]=>[1,6,4,2,7,3,5]=>[4,2,1]
[1,6,2,4,5,3,7]=>[1,6,2,4,5,3,7]=>[1,6,5,2,4,3,7]=>[4,1,1,1]
[1,6,2,4,5,7,3]=>[1,6,2,4,5,7,3]=>[1,6,7,2,4,5,3]=>[4,2,1]
[1,6,2,4,7,3,5]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>[5,2]
[1,6,2,4,7,5,3]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>[5,2]
[1,6,2,5,3,4,7]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[4,1,1,1]
[1,6,2,5,3,7,4]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>[4,2,1]
[1,6,2,5,4,3,7]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>[4,2,1]
[1,6,2,5,4,7,3]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[4,1,1,1]
[1,6,2,5,7,3,4]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>[3,2,2]
[1,6,2,5,7,4,3]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>[3,2,2]
[1,6,2,7,3,4,5]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[1,6,2,7,3,5,4]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>[3,2,1,1]
[1,6,2,7,4,3,5]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>[3,2,1,1]
[1,6,2,7,4,5,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[1,6,2,7,5,3,4]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[1,6,2,7,5,4,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[1,6,3,2,4,5,7]=>[1,6,2,4,5,7,3]=>[1,6,7,2,4,5,3]=>[4,2,1]
[1,6,3,2,4,7,5]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>[5,2]
[1,6,3,2,5,4,7]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[4,1,1,1]
[1,6,3,2,5,7,4]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>[3,2,2]
[1,6,3,2,7,4,5]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[1,6,3,2,7,5,4]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[1,6,3,4,2,5,7]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>[3,2,2]
[1,6,3,4,2,7,5]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[1,6,3,4,5,2,7]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[1,6,3,4,5,7,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[1,6,3,4,7,2,5]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[4,1,1,1]
[1,6,3,4,7,5,2]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[5,2]
[1,6,3,5,2,4,7]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>[5,2]
[1,6,3,5,2,7,4]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>[3,2,1,1]
[1,6,3,5,4,2,7]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>[3,2,1,1]
[1,6,3,5,4,7,2]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[5,1,1]
[1,6,3,5,7,2,4]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[5,1,1]
[1,6,3,5,7,4,2]=>[1,6,2,3,5,7,4]=>[1,6,2,7,3,5,4]=>[4,2,1]
[1,6,3,7,2,4,5]=>[1,6,2,4,5,3,7]=>[1,6,5,2,4,3,7]=>[4,1,1,1]
[1,6,3,7,2,5,4]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>[4,2,1]
[1,6,3,7,4,2,5]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>[4,2,1]
[1,6,3,7,4,5,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[4,2,1]
[1,6,3,7,5,2,4]=>[1,6,2,4,3,7,5]=>[1,6,4,2,7,3,5]=>[4,2,1]
[1,6,3,7,5,4,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[4,2,1]
[1,6,4,2,3,5,7]=>[1,6,2,3,5,7,4]=>[1,6,2,7,3,5,4]=>[4,2,1]
[1,6,4,2,3,7,5]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[4,2,1]
[1,6,4,2,5,3,7]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>[4,2,1]
[1,6,4,2,5,7,3]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>[3,2,2]
[1,6,4,2,7,3,5]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>[3,2,1,1]
[1,6,4,2,7,5,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[1,6,4,3,2,5,7]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>[3,2,2]
[1,6,4,3,2,7,5]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[1,6,4,3,5,2,7]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>[3,2,1,1]
[1,6,4,3,5,7,2]=>[1,6,2,3,5,7,4]=>[1,6,2,7,3,5,4]=>[4,2,1]
[1,6,4,3,7,2,5]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>[4,2,1]
[1,6,4,3,7,5,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[4,2,1]
[1,6,4,5,2,3,7]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[4,2,1]
[1,6,4,5,2,7,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[1,6,4,5,3,2,7]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[1,6,4,5,3,7,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[4,2,1]
[1,6,4,5,7,2,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[1,6,4,5,7,3,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[1,6,4,7,2,3,5]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[5,1,1]
[1,6,4,7,2,5,3]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[4,1,1,1]
[1,6,4,7,3,2,5]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[4,1,1,1]
[1,6,4,7,3,5,2]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[5,1,1]
[1,6,4,7,5,2,3]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[5,2]
[1,6,4,7,5,3,2]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[5,2]
[1,6,5,2,3,4,7]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[5,2]
[1,6,5,2,3,7,4]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[4,2,1]
[1,6,5,2,4,3,7]=>[1,6,2,4,3,7,5]=>[1,6,4,2,7,3,5]=>[4,2,1]
[1,6,5,2,4,7,3]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>[5,2]
[1,6,5,2,7,3,4]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[1,6,5,2,7,4,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[1,6,5,3,2,4,7]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>[5,2]
[1,6,5,3,2,7,4]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[1,6,5,3,4,2,7]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[1,6,5,3,4,7,2]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[5,2]
[1,6,5,3,7,2,4]=>[1,6,2,4,3,7,5]=>[1,6,4,2,7,3,5]=>[4,2,1]
[1,6,5,3,7,4,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[4,2,1]
[1,6,5,4,2,3,7]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[4,2,1]
[1,6,5,4,2,7,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[1,6,5,4,3,2,7]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[1,6,5,4,3,7,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[4,2,1]
[1,6,5,4,7,2,3]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[5,2]
[1,6,5,4,7,3,2]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[5,2]
[1,6,5,7,2,3,4]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[1,6,5,7,2,4,3]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[5,1,1]
[1,6,5,7,3,2,4]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[5,1,1]
[1,6,5,7,3,4,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[1,6,5,7,4,2,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[1,6,5,7,4,3,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[1,6,7,2,3,4,5]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[5,1,1]
[1,6,7,2,3,5,4]=>[1,6,7,2,3,5,4]=>[1,7,2,5,3,6,4]=>[4,2,1]
[1,6,7,2,4,3,5]=>[1,6,7,2,4,3,5]=>[1,7,4,2,3,6,5]=>[4,2,1]
[1,6,7,2,4,5,3]=>[1,6,7,2,4,5,3]=>[1,7,5,2,4,6,3]=>[4,1,1,1]
[1,6,7,2,5,3,4]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>[3,2,1,1]
[1,6,7,2,5,4,3]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>[3,2,1,1]
[1,6,7,3,2,4,5]=>[1,6,7,2,4,5,3]=>[1,7,5,2,4,6,3]=>[4,1,1,1]
[1,6,7,3,2,5,4]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>[3,2,1,1]
[1,6,7,3,4,2,5]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>[3,2,1,1]
[1,6,7,3,4,5,2]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[5,1,1]
[1,6,7,3,5,2,4]=>[1,6,7,2,4,3,5]=>[1,7,4,2,3,6,5]=>[4,2,1]
[1,6,7,3,5,4,2]=>[1,6,7,2,3,5,4]=>[1,7,2,5,3,6,4]=>[4,2,1]
[1,6,7,4,2,3,5]=>[1,6,7,2,3,5,4]=>[1,7,2,5,3,6,4]=>[4,2,1]
[1,6,7,4,2,5,3]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>[3,2,1,1]
[1,6,7,4,3,2,5]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>[3,2,1,1]
[1,6,7,4,3,5,2]=>[1,6,7,2,3,5,4]=>[1,7,2,5,3,6,4]=>[4,2,1]
[1,6,7,4,5,2,3]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[5,1,1]
[1,6,7,4,5,3,2]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[5,1,1]
[1,6,7,5,2,3,4]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[5,1,1]
[1,6,7,5,2,4,3]=>[1,6,7,2,4,3,5]=>[1,7,4,2,3,6,5]=>[4,2,1]
[1,6,7,5,3,2,4]=>[1,6,7,2,4,3,5]=>[1,7,4,2,3,6,5]=>[4,2,1]
[1,6,7,5,3,4,2]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[5,1,1]
[1,6,7,5,4,2,3]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[5,1,1]
[1,6,7,5,4,3,2]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[5,1,1]
[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[1,7,2,3,4,6,5]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[5,1,1]
[1,7,2,3,5,4,6]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[5,1,1]
[1,7,2,3,5,6,4]=>[1,7,2,3,5,6,4]=>[1,7,2,6,3,5,4]=>[4,1,1,1]
[1,7,2,3,6,4,5]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[4,1,1,1]
[1,7,2,3,6,5,4]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[4,1,1,1]
[1,7,2,4,3,5,6]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[5,1,1]
[1,7,2,4,3,6,5]=>[1,7,2,4,3,6,5]=>[1,7,4,2,6,3,5]=>[4,2,1]
[1,7,2,4,5,3,6]=>[1,7,2,4,5,3,6]=>[1,7,5,2,4,3,6]=>[4,1,1,1]
[1,7,2,4,5,6,3]=>[1,7,2,4,5,6,3]=>[1,7,6,2,4,5,3]=>[4,1,1,1]
[1,7,2,4,6,3,5]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>[5,1,1]
[1,7,2,4,6,5,3]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>[5,1,1]
[1,7,2,5,3,4,6]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[4,1,1,1]
[1,7,2,5,3,6,4]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>[4,2,1]
[1,7,2,5,4,3,6]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>[4,2,1]
[1,7,2,5,4,6,3]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[4,1,1,1]
[1,7,2,5,6,3,4]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>[3,2,1,1]
[1,7,2,5,6,4,3]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>[3,2,1,1]
[1,7,2,6,3,4,5]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[1,7,2,6,3,5,4]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>[3,1,1,1,1]
[1,7,2,6,4,3,5]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>[3,1,1,1,1]
[1,7,2,6,4,5,3]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[1,7,2,6,5,3,4]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[1,7,2,6,5,4,3]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[1,7,3,2,4,5,6]=>[1,7,2,4,5,6,3]=>[1,7,6,2,4,5,3]=>[4,1,1,1]
[1,7,3,2,4,6,5]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>[5,1,1]
[1,7,3,2,5,4,6]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[4,1,1,1]
[1,7,3,2,5,6,4]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>[3,2,1,1]
[1,7,3,2,6,4,5]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[1,7,3,2,6,5,4]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[1,7,3,4,2,5,6]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>[3,2,1,1]
[1,7,3,4,2,6,5]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[1,7,3,4,5,2,6]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[1,7,3,4,5,6,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[1,7,3,4,6,2,5]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[4,1,1,1]
[1,7,3,4,6,5,2]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[5,1,1]
[1,7,3,5,2,4,6]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>[5,1,1]
[1,7,3,5,2,6,4]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>[3,1,1,1,1]
[1,7,3,5,4,2,6]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>[3,1,1,1,1]
[1,7,3,5,4,6,2]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[5,1,1]
[1,7,3,5,6,2,4]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[5,1,1]
[1,7,3,5,6,4,2]=>[1,7,2,3,5,6,4]=>[1,7,2,6,3,5,4]=>[4,1,1,1]
[1,7,3,6,2,4,5]=>[1,7,2,4,5,3,6]=>[1,7,5,2,4,3,6]=>[4,1,1,1]
[1,7,3,6,2,5,4]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>[4,2,1]
[1,7,3,6,4,2,5]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>[4,2,1]
[1,7,3,6,4,5,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[4,1,1,1]
[1,7,3,6,5,2,4]=>[1,7,2,4,3,6,5]=>[1,7,4,2,6,3,5]=>[4,2,1]
[1,7,3,6,5,4,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[4,1,1,1]
[1,7,4,2,3,5,6]=>[1,7,2,3,5,6,4]=>[1,7,2,6,3,5,4]=>[4,1,1,1]
[1,7,4,2,3,6,5]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[4,1,1,1]
[1,7,4,2,5,3,6]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>[4,2,1]
[1,7,4,2,5,6,3]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>[3,2,1,1]
[1,7,4,2,6,3,5]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>[3,1,1,1,1]
[1,7,4,2,6,5,3]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[1,7,4,3,2,5,6]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>[3,2,1,1]
[1,7,4,3,2,6,5]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[1,7,4,3,5,2,6]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>[3,1,1,1,1]
[1,7,4,3,5,6,2]=>[1,7,2,3,5,6,4]=>[1,7,2,6,3,5,4]=>[4,1,1,1]
[1,7,4,3,6,2,5]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>[4,2,1]
[1,7,4,3,6,5,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[4,1,1,1]
[1,7,4,5,2,3,6]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[4,1,1,1]
[1,7,4,5,2,6,3]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[1,7,4,5,3,2,6]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[1,7,4,5,3,6,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[4,1,1,1]
[1,7,4,5,6,2,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[1,7,4,5,6,3,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[1,7,4,6,2,3,5]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[5,1,1]
[1,7,4,6,2,5,3]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[4,1,1,1]
[1,7,4,6,3,2,5]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[4,1,1,1]
[1,7,4,6,3,5,2]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[5,1,1]
[1,7,4,6,5,2,3]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[5,1,1]
[1,7,4,6,5,3,2]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[5,1,1]
[1,7,5,2,3,4,6]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[5,1,1]
[1,7,5,2,3,6,4]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[4,1,1,1]
[1,7,5,2,4,3,6]=>[1,7,2,4,3,6,5]=>[1,7,4,2,6,3,5]=>[4,2,1]
[1,7,5,2,4,6,3]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>[5,1,1]
[1,7,5,2,6,3,4]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[1,7,5,2,6,4,3]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[1,7,5,3,2,4,6]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>[5,1,1]
[1,7,5,3,2,6,4]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[1,7,5,3,4,2,6]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[1,7,5,3,4,6,2]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[5,1,1]
[1,7,5,3,6,2,4]=>[1,7,2,4,3,6,5]=>[1,7,4,2,6,3,5]=>[4,2,1]
[1,7,5,3,6,4,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[4,1,1,1]
[1,7,5,4,2,3,6]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[4,1,1,1]
[1,7,5,4,2,6,3]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[1,7,5,4,3,2,6]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[1,7,5,4,3,6,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[4,1,1,1]
[1,7,5,4,6,2,3]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[5,1,1]
[1,7,5,4,6,3,2]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[5,1,1]
[1,7,5,6,2,3,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[1,7,5,6,2,4,3]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[5,1,1]
[1,7,5,6,3,2,4]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[5,1,1]
[1,7,5,6,3,4,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[1,7,5,6,4,2,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[1,7,5,6,4,3,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[1,7,6,2,3,4,5]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[1,7,6,2,3,5,4]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[5,1,1]
[1,7,6,2,4,3,5]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[5,1,1]
[1,7,6,2,4,5,3]=>[1,7,2,4,5,3,6]=>[1,7,5,2,4,3,6]=>[4,1,1,1]
[1,7,6,2,5,3,4]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[4,1,1,1]
[1,7,6,2,5,4,3]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[4,1,1,1]
[1,7,6,3,2,4,5]=>[1,7,2,4,5,3,6]=>[1,7,5,2,4,3,6]=>[4,1,1,1]
[1,7,6,3,2,5,4]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[4,1,1,1]
[1,7,6,3,4,2,5]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[4,1,1,1]
[1,7,6,3,4,5,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[1,7,6,3,5,2,4]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[5,1,1]
[1,7,6,3,5,4,2]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[5,1,1]
[1,7,6,4,2,3,5]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[5,1,1]
[1,7,6,4,2,5,3]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[4,1,1,1]
[1,7,6,4,3,2,5]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[4,1,1,1]
[1,7,6,4,3,5,2]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[5,1,1]
[1,7,6,4,5,2,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[1,7,6,4,5,3,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[1,7,6,5,2,3,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[1,7,6,5,2,4,3]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[5,1,1]
[1,7,6,5,3,2,4]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[5,1,1]
[1,7,6,5,3,4,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[1,7,6,5,4,2,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[1,7,6,5,4,3,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[2,1,3,4,5,6,7]=>[1,3,4,5,6,7,2]=>[1,7,3,4,5,6,2]=>[5,1,1]
[2,1,3,4,5,7,6]=>[1,3,4,5,7,2,6]=>[1,7,3,4,5,2,6]=>[5,1,1]
[2,1,3,4,6,5,7]=>[1,3,4,6,2,5,7]=>[1,6,3,4,2,5,7]=>[5,1,1]
[2,1,3,4,6,7,5]=>[1,3,4,6,7,2,5]=>[1,7,3,4,2,6,5]=>[4,2,1]
[2,1,3,4,7,5,6]=>[1,3,4,7,2,5,6]=>[1,7,3,4,2,5,6]=>[5,1,1]
[2,1,3,4,7,6,5]=>[1,3,4,7,2,5,6]=>[1,7,3,4,2,5,6]=>[5,1,1]
[2,1,3,5,4,6,7]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>[5,1,1]
[2,1,3,5,4,7,6]=>[1,3,5,2,4,7,6]=>[1,5,3,2,4,7,6]=>[4,2,1]
[2,1,3,5,6,4,7]=>[1,3,5,6,2,4,7]=>[1,6,3,2,5,4,7]=>[4,2,1]
[2,1,3,5,6,7,4]=>[1,3,5,6,7,2,4]=>[1,7,3,2,5,6,4]=>[4,2,1]
[2,1,3,5,7,4,6]=>[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]=>[4,2,1]
[2,1,3,5,7,6,4]=>[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]=>[4,2,1]
[2,1,3,6,4,5,7]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[5,1,1]
[2,1,3,6,4,7,5]=>[1,3,6,2,4,7,5]=>[1,6,3,2,7,4,5]=>[4,2,1]
[2,1,3,6,5,4,7]=>[1,3,6,2,4,7,5]=>[1,6,3,2,7,4,5]=>[4,2,1]
[2,1,3,6,5,7,4]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[5,1,1]
[2,1,3,6,7,4,5]=>[1,3,6,7,2,4,5]=>[1,7,3,2,4,6,5]=>[4,2,1]
[2,1,3,6,7,5,4]=>[1,3,6,7,2,4,5]=>[1,7,3,2,4,6,5]=>[4,2,1]
[2,1,3,7,4,5,6]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[5,1,1]
[2,1,3,7,4,6,5]=>[1,3,7,2,4,6,5]=>[1,7,3,2,6,4,5]=>[4,2,1]
[2,1,3,7,5,4,6]=>[1,3,7,2,4,6,5]=>[1,7,3,2,6,4,5]=>[4,2,1]
[2,1,3,7,5,6,4]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[5,1,1]
[2,1,3,7,6,4,5]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[5,1,1]
[2,1,3,7,6,5,4]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[5,1,1]
[2,1,4,3,5,6,7]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[6,1]
[2,1,4,3,5,7,6]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[5,2]
[2,1,4,3,6,5,7]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[5,2]
[2,1,4,3,6,7,5]=>[1,4,2,3,6,7,5]=>[1,4,2,3,7,6,5]=>[4,2,1]
[2,1,4,3,7,5,6]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[5,2]
[2,1,4,3,7,6,5]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[5,2]
[2,1,4,5,3,6,7]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>[5,1,1]
[2,1,4,5,3,7,6]=>[1,4,5,2,3,7,6]=>[1,5,2,4,3,7,6]=>[4,2,1]
[2,1,4,5,6,3,7]=>[1,4,5,6,2,3,7]=>[1,6,2,4,5,3,7]=>[5,1,1]
[2,1,4,5,6,7,3]=>[1,4,5,6,7,2,3]=>[1,7,2,4,5,6,3]=>[5,1,1]
[2,1,4,5,7,3,6]=>[1,4,5,7,2,3,6]=>[1,7,2,4,5,3,6]=>[5,1,1]
[2,1,4,5,7,6,3]=>[1,4,5,7,2,3,6]=>[1,7,2,4,5,3,6]=>[5,1,1]
[2,1,4,6,3,5,7]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[5,1,1]
[2,1,4,6,3,7,5]=>[1,4,6,2,3,7,5]=>[1,6,2,4,7,3,5]=>[4,2,1]
[2,1,4,6,5,3,7]=>[1,4,6,2,3,7,5]=>[1,6,2,4,7,3,5]=>[4,2,1]
[2,1,4,6,5,7,3]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[5,1,1]
[2,1,4,6,7,3,5]=>[1,4,6,7,2,3,5]=>[1,7,2,4,3,6,5]=>[4,2,1]
[2,1,4,6,7,5,3]=>[1,4,6,7,2,3,5]=>[1,7,2,4,3,6,5]=>[4,2,1]
[2,1,4,7,3,5,6]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[5,1,1]
[2,1,4,7,3,6,5]=>[1,4,7,2,3,6,5]=>[1,7,2,4,6,3,5]=>[4,2,1]
[2,1,4,7,5,3,6]=>[1,4,7,2,3,6,5]=>[1,7,2,4,6,3,5]=>[4,2,1]
[2,1,4,7,5,6,3]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[5,1,1]
[2,1,4,7,6,3,5]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[5,1,1]
[2,1,4,7,6,5,3]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[5,1,1]
[2,1,5,3,4,6,7]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[6,1]
[2,1,5,3,4,7,6]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[5,2]
[2,1,5,3,6,4,7]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[5,2]
[2,1,5,3,6,7,4]=>[1,5,2,3,6,7,4]=>[1,5,2,7,3,6,4]=>[4,2,1]
[2,1,5,3,7,4,6]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[5,2]
[2,1,5,3,7,6,4]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[5,2]
[2,1,5,4,3,6,7]=>[1,5,2,3,6,7,4]=>[1,5,2,7,3,6,4]=>[4,2,1]
[2,1,5,4,3,7,6]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[5,2]
[2,1,5,4,6,3,7]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[5,2]
[2,1,5,4,6,7,3]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[6,1]
[2,1,5,4,7,3,6]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[5,2]
[2,1,5,4,7,6,3]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[5,2]
[2,1,5,6,3,4,7]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[5,1,1]
[2,1,5,6,3,7,4]=>[1,5,6,2,3,7,4]=>[1,6,2,7,5,3,4]=>[4,2,1]
[2,1,5,6,4,3,7]=>[1,5,6,2,3,7,4]=>[1,6,2,7,5,3,4]=>[4,2,1]
[2,1,5,6,4,7,3]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[5,1,1]
[2,1,5,6,7,3,4]=>[1,5,6,7,2,3,4]=>[1,7,2,3,5,6,4]=>[5,1,1]
[2,1,5,6,7,4,3]=>[1,5,6,7,2,3,4]=>[1,7,2,3,5,6,4]=>[5,1,1]
[2,1,5,7,3,4,6]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[5,1,1]
[2,1,5,7,3,6,4]=>[1,5,7,2,3,6,4]=>[1,7,2,6,5,3,4]=>[4,1,1,1]
[2,1,5,7,4,3,6]=>[1,5,7,2,3,6,4]=>[1,7,2,6,5,3,4]=>[4,1,1,1]
[2,1,5,7,4,6,3]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[5,1,1]
[2,1,5,7,6,3,4]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[5,1,1]
[2,1,5,7,6,4,3]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[5,1,1]
[2,1,6,3,4,5,7]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[2,1,6,3,4,7,5]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[5,2]
[2,1,6,3,5,4,7]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[5,1,1]
[2,1,6,3,5,7,4]=>[1,6,2,3,5,7,4]=>[1,6,2,7,3,5,4]=>[4,2,1]
[2,1,6,3,7,4,5]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[4,2,1]
[2,1,6,3,7,5,4]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[4,2,1]
[2,1,6,4,3,5,7]=>[1,6,2,3,5,7,4]=>[1,6,2,7,3,5,4]=>[4,2,1]
[2,1,6,4,3,7,5]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[4,2,1]
[2,1,6,4,5,3,7]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[4,2,1]
[2,1,6,4,5,7,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[2,1,6,4,7,3,5]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[5,1,1]
[2,1,6,4,7,5,3]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[5,2]
[2,1,6,5,3,4,7]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[5,2]
[2,1,6,5,3,7,4]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[4,2,1]
[2,1,6,5,4,3,7]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[4,2,1]
[2,1,6,5,4,7,3]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[5,2]
[2,1,6,5,7,3,4]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[2,1,6,5,7,4,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[2,1,6,7,3,4,5]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[5,1,1]
[2,1,6,7,3,5,4]=>[1,6,7,2,3,5,4]=>[1,7,2,5,3,6,4]=>[4,2,1]
[2,1,6,7,4,3,5]=>[1,6,7,2,3,5,4]=>[1,7,2,5,3,6,4]=>[4,2,1]
[2,1,6,7,4,5,3]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[5,1,1]
[2,1,6,7,5,3,4]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[5,1,1]
[2,1,6,7,5,4,3]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[5,1,1]
[2,1,7,3,4,5,6]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[2,1,7,3,4,6,5]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[5,1,1]
[2,1,7,3,5,4,6]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[5,1,1]
[2,1,7,3,5,6,4]=>[1,7,2,3,5,6,4]=>[1,7,2,6,3,5,4]=>[4,1,1,1]
[2,1,7,3,6,4,5]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[4,1,1,1]
[2,1,7,3,6,5,4]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[4,1,1,1]
[2,1,7,4,3,5,6]=>[1,7,2,3,5,6,4]=>[1,7,2,6,3,5,4]=>[4,1,1,1]
[2,1,7,4,3,6,5]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[4,1,1,1]
[2,1,7,4,5,3,6]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[4,1,1,1]
[2,1,7,4,5,6,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[2,1,7,4,6,3,5]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[5,1,1]
[2,1,7,4,6,5,3]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[5,1,1]
[2,1,7,5,3,4,6]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[5,1,1]
[2,1,7,5,3,6,4]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[4,1,1,1]
[2,1,7,5,4,3,6]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[4,1,1,1]
[2,1,7,5,4,6,3]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[5,1,1]
[2,1,7,5,6,3,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[2,1,7,5,6,4,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[2,1,7,6,3,4,5]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[2,1,7,6,3,5,4]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[5,1,1]
[2,1,7,6,4,3,5]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[5,1,1]
[2,1,7,6,4,5,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[2,1,7,6,5,3,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[2,1,7,6,5,4,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[2,3,1,4,5,6,7]=>[1,4,5,6,7,2,3]=>[1,7,2,4,5,6,3]=>[5,1,1]
[2,3,1,4,5,7,6]=>[1,4,5,7,2,3,6]=>[1,7,2,4,5,3,6]=>[5,1,1]
[2,3,1,4,6,5,7]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[5,1,1]
[2,3,1,4,6,7,5]=>[1,4,6,7,2,3,5]=>[1,7,2,4,3,6,5]=>[4,2,1]
[2,3,1,4,7,5,6]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[5,1,1]
[2,3,1,4,7,6,5]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[5,1,1]
[2,3,1,5,4,6,7]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[6,1]
[2,3,1,5,4,7,6]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[5,2]
[2,3,1,5,6,4,7]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[5,1,1]
[2,3,1,5,6,7,4]=>[1,5,6,7,2,3,4]=>[1,7,2,3,5,6,4]=>[5,1,1]
[2,3,1,5,7,4,6]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[5,1,1]
[2,3,1,5,7,6,4]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[5,1,1]
[2,3,1,6,4,5,7]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[2,3,1,6,4,7,5]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[5,2]
[2,3,1,6,5,4,7]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[5,2]
[2,3,1,6,5,7,4]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[2,3,1,6,7,4,5]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[5,1,1]
[2,3,1,6,7,5,4]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[5,1,1]
[2,3,1,7,4,5,6]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[2,3,1,7,4,6,5]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[5,1,1]
[2,3,1,7,5,4,6]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[5,1,1]
[2,3,1,7,5,6,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[2,3,1,7,6,4,5]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[2,3,1,7,6,5,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[2,3,4,1,5,6,7]=>[1,5,6,7,2,3,4]=>[1,7,2,3,5,6,4]=>[5,1,1]
[2,3,4,1,5,7,6]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[5,1,1]
[2,3,4,1,6,5,7]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[2,3,4,1,6,7,5]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[5,1,1]
[2,3,4,1,7,5,6]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[2,3,4,1,7,6,5]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[2,3,4,5,1,6,7]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[5,1,1]
[2,3,4,5,1,7,6]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[2,3,4,5,6,1,7]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[2,3,4,5,6,7,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7]
[2,3,4,5,7,1,6]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[2,3,4,5,7,6,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[6,1]
[2,3,4,6,1,5,7]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[5,1,1]
[2,3,4,6,1,7,5]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[5,1,1]
[2,3,4,6,5,1,7]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[5,1,1]
[2,3,4,6,5,7,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[6,1]
[2,3,4,6,7,1,5]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[6,1]
[2,3,4,6,7,5,1]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[5,1,1]
[2,3,4,7,1,5,6]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[5,1,1]
[2,3,4,7,1,6,5]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[5,2]
[2,3,4,7,5,1,6]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[5,2]
[2,3,4,7,5,6,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[6,1]
[2,3,4,7,6,1,5]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[5,2]
[2,3,4,7,6,5,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[6,1]
[2,3,5,1,4,6,7]=>[1,4,6,7,2,3,5]=>[1,7,2,4,3,6,5]=>[4,2,1]
[2,3,5,1,4,7,6]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[5,1,1]
[2,3,5,1,6,4,7]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[5,1,1]
[2,3,5,1,6,7,4]=>[1,6,7,2,3,5,4]=>[1,7,2,5,3,6,4]=>[4,2,1]
[2,3,5,1,7,4,6]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[5,1,1]
[2,3,5,1,7,6,4]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[5,1,1]
[2,3,5,4,1,6,7]=>[1,6,7,2,3,5,4]=>[1,7,2,5,3,6,4]=>[4,2,1]
[2,3,5,4,1,7,6]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[5,1,1]
[2,3,5,4,6,1,7]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[5,1,1]
[2,3,5,4,6,7,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[6,1]
[2,3,5,4,7,1,6]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[5,1,1]
[2,3,5,4,7,6,1]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[5,2]
[2,3,5,6,1,4,7]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[5,1,1]
[2,3,5,6,1,7,4]=>[1,7,2,3,5,6,4]=>[1,7,2,6,3,5,4]=>[4,1,1,1]
[2,3,5,6,4,1,7]=>[1,7,2,3,5,6,4]=>[1,7,2,6,3,5,4]=>[4,1,1,1]
[2,3,5,6,4,7,1]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[5,1,1]
[2,3,5,6,7,1,4]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[6,1]
[2,3,5,6,7,4,1]=>[1,2,3,5,6,7,4]=>[1,2,3,7,5,6,4]=>[5,1,1]
[2,3,5,7,1,4,6]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[5,1,1]
[2,3,5,7,1,6,4]=>[1,6,2,3,5,7,4]=>[1,6,2,7,3,5,4]=>[4,2,1]
[2,3,5,7,4,1,6]=>[1,6,2,3,5,7,4]=>[1,6,2,7,3,5,4]=>[4,2,1]
[2,3,5,7,4,6,1]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>[5,1,1]
[2,3,5,7,6,1,4]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[5,2]
[2,3,5,7,6,4,1]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>[5,1,1]
[2,3,6,1,4,5,7]=>[1,4,5,7,2,3,6]=>[1,7,2,4,5,3,6]=>[5,1,1]
[2,3,6,1,4,7,5]=>[1,4,7,2,3,6,5]=>[1,7,2,4,6,3,5]=>[4,2,1]
[2,3,6,1,5,4,7]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[5,2]
[2,3,6,1,5,7,4]=>[1,5,7,2,3,6,4]=>[1,7,2,6,5,3,4]=>[4,1,1,1]
[2,3,6,1,7,4,5]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[4,1,1,1]
[2,3,6,1,7,5,4]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[4,1,1,1]
[2,3,6,4,1,5,7]=>[1,5,7,2,3,6,4]=>[1,7,2,6,5,3,4]=>[4,1,1,1]
[2,3,6,4,1,7,5]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[4,1,1,1]
[2,3,6,4,5,1,7]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[4,1,1,1]
[2,3,6,4,5,7,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[6,1]
[2,3,6,4,7,1,5]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[5,2]
[2,3,6,4,7,5,1]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[5,2]
[2,3,6,5,1,4,7]=>[1,4,7,2,3,6,5]=>[1,7,2,4,6,3,5]=>[4,2,1]
[2,3,6,5,1,7,4]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[4,1,1,1]
[2,3,6,5,4,1,7]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[4,1,1,1]
[2,3,6,5,4,7,1]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[5,2]
[2,3,6,5,7,1,4]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[5,2]
[2,3,6,5,7,4,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[6,1]
[2,3,6,7,1,4,5]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>[5,1,1]
[2,3,6,7,1,5,4]=>[1,5,2,3,6,7,4]=>[1,5,2,7,3,6,4]=>[4,2,1]
[2,3,6,7,4,1,5]=>[1,5,2,3,6,7,4]=>[1,5,2,7,3,6,4]=>[4,2,1]
[2,3,6,7,4,5,1]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>[5,1,1]
[2,3,6,7,5,1,4]=>[1,4,2,3,6,7,5]=>[1,4,2,3,7,6,5]=>[4,2,1]
[2,3,6,7,5,4,1]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>[5,1,1]
[2,3,7,1,4,5,6]=>[1,4,5,6,2,3,7]=>[1,6,2,4,5,3,7]=>[5,1,1]
[2,3,7,1,4,6,5]=>[1,4,6,2,3,7,5]=>[1,6,2,4,7,3,5]=>[4,2,1]
[2,3,7,1,5,4,6]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[5,2]
[2,3,7,1,5,6,4]=>[1,5,6,2,3,7,4]=>[1,6,2,7,5,3,4]=>[4,2,1]
[2,3,7,1,6,4,5]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[4,2,1]
[2,3,7,1,6,5,4]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[4,2,1]
[2,3,7,4,1,5,6]=>[1,5,6,2,3,7,4]=>[1,6,2,7,5,3,4]=>[4,2,1]
[2,3,7,4,1,6,5]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[4,2,1]
[2,3,7,4,5,1,6]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[4,2,1]
[2,3,7,4,5,6,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[6,1]
[2,3,7,4,6,1,5]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[5,2]
[2,3,7,4,6,5,1]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>[5,1,1]
[2,3,7,5,1,4,6]=>[1,4,6,2,3,7,5]=>[1,6,2,4,7,3,5]=>[4,2,1]
[2,3,7,5,1,6,4]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[4,2,1]
[2,3,7,5,4,1,6]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[4,2,1]
[2,3,7,5,4,6,1]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>[5,1,1]
[2,3,7,5,6,1,4]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[5,2]
[2,3,7,5,6,4,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[6,1]
[2,3,7,6,1,4,5]=>[1,4,5,2,3,7,6]=>[1,5,2,4,3,7,6]=>[4,2,1]
[2,3,7,6,1,5,4]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[5,2]
[2,3,7,6,4,1,5]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[5,2]
[2,3,7,6,4,5,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[6,1]
[2,3,7,6,5,1,4]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[5,2]
[2,3,7,6,5,4,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[6,1]
[2,4,1,3,5,6,7]=>[1,3,5,6,7,2,4]=>[1,7,3,2,5,6,4]=>[4,2,1]
[2,4,1,3,5,7,6]=>[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]=>[4,2,1]
[2,4,1,3,6,5,7]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[5,1,1]
[2,4,1,3,6,7,5]=>[1,3,6,7,2,4,5]=>[1,7,3,2,4,6,5]=>[4,2,1]
[2,4,1,3,7,5,6]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[5,1,1]
[2,4,1,3,7,6,5]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[5,1,1]
[2,4,1,5,3,6,7]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>[5,1,1]
[2,4,1,5,3,7,6]=>[1,5,2,4,3,7,6]=>[1,5,4,2,3,7,6]=>[4,2,1]
[2,4,1,5,6,3,7]=>[1,5,6,2,4,3,7]=>[1,6,4,2,5,3,7]=>[4,2,1]
[2,4,1,5,6,7,3]=>[1,5,6,7,2,4,3]=>[1,7,4,2,5,6,3]=>[4,2,1]
[2,4,1,5,7,3,6]=>[1,5,7,2,4,3,6]=>[1,7,4,2,5,3,6]=>[4,2,1]
[2,4,1,5,7,6,3]=>[1,5,7,2,4,3,6]=>[1,7,4,2,5,3,6]=>[4,2,1]
[2,4,1,6,3,5,7]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[5,1,1]
[2,4,1,6,3,7,5]=>[1,6,2,4,3,7,5]=>[1,6,4,2,7,3,5]=>[4,2,1]
[2,4,1,6,5,3,7]=>[1,6,2,4,3,7,5]=>[1,6,4,2,7,3,5]=>[4,2,1]
[2,4,1,6,5,7,3]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[5,1,1]
[2,4,1,6,7,3,5]=>[1,6,7,2,4,3,5]=>[1,7,4,2,3,6,5]=>[4,2,1]
[2,4,1,6,7,5,3]=>[1,6,7,2,4,3,5]=>[1,7,4,2,3,6,5]=>[4,2,1]
[2,4,1,7,3,5,6]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[5,1,1]
[2,4,1,7,3,6,5]=>[1,7,2,4,3,6,5]=>[1,7,4,2,6,3,5]=>[4,2,1]
[2,4,1,7,5,3,6]=>[1,7,2,4,3,6,5]=>[1,7,4,2,6,3,5]=>[4,2,1]
[2,4,1,7,5,6,3]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[5,1,1]
[2,4,1,7,6,3,5]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[5,1,1]
[2,4,1,7,6,5,3]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[5,1,1]
[2,4,3,1,5,6,7]=>[1,5,6,7,2,4,3]=>[1,7,4,2,5,6,3]=>[4,2,1]
[2,4,3,1,5,7,6]=>[1,5,7,2,4,3,6]=>[1,7,4,2,5,3,6]=>[4,2,1]
[2,4,3,1,6,5,7]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[5,1,1]
[2,4,3,1,6,7,5]=>[1,6,7,2,4,3,5]=>[1,7,4,2,3,6,5]=>[4,2,1]
[2,4,3,1,7,5,6]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[5,1,1]
[2,4,3,1,7,6,5]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[5,1,1]
[2,4,3,5,1,6,7]=>[1,6,7,2,4,3,5]=>[1,7,4,2,3,6,5]=>[4,2,1]
[2,4,3,5,1,7,6]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[5,1,1]
[2,4,3,5,6,1,7]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[5,1,1]
[2,4,3,5,6,7,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[6,1]
[2,4,3,5,7,1,6]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[5,1,1]
[2,4,3,5,7,6,1]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[5,2]
[2,4,3,6,1,5,7]=>[1,5,7,2,4,3,6]=>[1,7,4,2,5,3,6]=>[4,2,1]
[2,4,3,6,1,7,5]=>[1,7,2,4,3,6,5]=>[1,7,4,2,6,3,5]=>[4,2,1]
[2,4,3,6,5,1,7]=>[1,7,2,4,3,6,5]=>[1,7,4,2,6,3,5]=>[4,2,1]
[2,4,3,6,5,7,1]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[5,2]
[2,4,3,6,7,1,5]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>[5,1,1]
[2,4,3,6,7,5,1]=>[1,2,4,3,6,7,5]=>[1,2,4,3,7,6,5]=>[4,2,1]
[2,4,3,7,1,5,6]=>[1,5,6,2,4,3,7]=>[1,6,4,2,5,3,7]=>[4,2,1]
[2,4,3,7,1,6,5]=>[1,6,2,4,3,7,5]=>[1,6,4,2,7,3,5]=>[4,2,1]
[2,4,3,7,5,1,6]=>[1,6,2,4,3,7,5]=>[1,6,4,2,7,3,5]=>[4,2,1]
[2,4,3,7,5,6,1]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[5,2]
[2,4,3,7,6,1,5]=>[1,5,2,4,3,7,6]=>[1,5,4,2,3,7,6]=>[4,2,1]
[2,4,3,7,6,5,1]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[5,2]
[2,4,5,1,3,6,7]=>[1,3,6,7,2,4,5]=>[1,7,3,2,4,6,5]=>[4,2,1]
[2,4,5,1,3,7,6]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[5,1,1]
[2,4,5,1,6,3,7]=>[1,6,2,4,5,3,7]=>[1,6,5,2,4,3,7]=>[4,1,1,1]
[2,4,5,1,6,7,3]=>[1,6,7,2,4,5,3]=>[1,7,5,2,4,6,3]=>[4,1,1,1]
[2,4,5,1,7,3,6]=>[1,7,2,4,5,3,6]=>[1,7,5,2,4,3,6]=>[4,1,1,1]
[2,4,5,1,7,6,3]=>[1,7,2,4,5,3,6]=>[1,7,5,2,4,3,6]=>[4,1,1,1]
[2,4,5,3,1,6,7]=>[1,6,7,2,4,5,3]=>[1,7,5,2,4,6,3]=>[4,1,1,1]
[2,4,5,3,1,7,6]=>[1,7,2,4,5,3,6]=>[1,7,5,2,4,3,6]=>[4,1,1,1]
[2,4,5,3,6,1,7]=>[1,7,2,4,5,3,6]=>[1,7,5,2,4,3,6]=>[4,1,1,1]
[2,4,5,3,6,7,1]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[5,1,1]
[2,4,5,3,7,1,6]=>[1,6,2,4,5,3,7]=>[1,6,5,2,4,3,7]=>[4,1,1,1]
[2,4,5,3,7,6,1]=>[1,2,4,5,3,7,6]=>[1,2,5,4,3,7,6]=>[4,2,1]
[2,4,5,6,1,3,7]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[5,1,1]
[2,4,5,6,1,7,3]=>[1,7,2,4,5,6,3]=>[1,7,6,2,4,5,3]=>[4,1,1,1]
[2,4,5,6,3,1,7]=>[1,7,2,4,5,6,3]=>[1,7,6,2,4,5,3]=>[4,1,1,1]
[2,4,5,6,3,7,1]=>[1,2,4,5,6,3,7]=>[1,2,6,4,5,3,7]=>[5,1,1]
[2,4,5,6,7,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[6,1]
[2,4,5,6,7,3,1]=>[1,2,4,5,6,7,3]=>[1,2,7,4,5,6,3]=>[5,1,1]
[2,4,5,7,1,3,6]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[5,1,1]
[2,4,5,7,1,6,3]=>[1,6,2,4,5,7,3]=>[1,6,7,2,4,5,3]=>[4,2,1]
[2,4,5,7,3,1,6]=>[1,6,2,4,5,7,3]=>[1,6,7,2,4,5,3]=>[4,2,1]
[2,4,5,7,3,6,1]=>[1,2,4,5,7,3,6]=>[1,2,7,4,5,3,6]=>[5,1,1]
[2,4,5,7,6,1,3]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[5,2]
[2,4,5,7,6,3,1]=>[1,2,4,5,7,3,6]=>[1,2,7,4,5,3,6]=>[5,1,1]
[2,4,6,1,3,5,7]=>[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]=>[4,2,1]
[2,4,6,1,3,7,5]=>[1,3,7,2,4,6,5]=>[1,7,3,2,6,4,5]=>[4,2,1]
[2,4,6,1,5,3,7]=>[1,5,2,4,6,3,7]=>[1,5,6,2,4,3,7]=>[4,2,1]
[2,4,6,1,5,7,3]=>[1,5,7,2,4,6,3]=>[1,7,6,2,5,4,3]=>[3,1,1,1,1]
[2,4,6,1,7,3,5]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>[5,1,1]
[2,4,6,1,7,5,3]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>[5,1,1]
[2,4,6,3,1,5,7]=>[1,5,7,2,4,6,3]=>[1,7,6,2,5,4,3]=>[3,1,1,1,1]
[2,4,6,3,1,7,5]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>[5,1,1]
[2,4,6,3,5,1,7]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>[5,1,1]
[2,4,6,3,5,7,1]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>[5,1,1]
[2,4,6,3,7,1,5]=>[1,5,2,4,6,3,7]=>[1,5,6,2,4,3,7]=>[4,2,1]
[2,4,6,3,7,5,1]=>[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5]=>[4,2,1]
[2,4,6,5,1,3,7]=>[1,3,7,2,4,6,5]=>[1,7,3,2,6,4,5]=>[4,2,1]
[2,4,6,5,1,7,3]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>[5,1,1]
[2,4,6,5,3,1,7]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>[5,1,1]
[2,4,6,5,3,7,1]=>[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5]=>[4,2,1]
[2,4,6,5,7,1,3]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[5,2]
[2,4,6,5,7,3,1]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>[5,1,1]
[2,4,6,7,1,3,5]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>[5,1,1]
[2,4,6,7,1,5,3]=>[1,5,2,4,6,7,3]=>[1,5,7,2,4,6,3]=>[4,2,1]
[2,4,6,7,3,1,5]=>[1,5,2,4,6,7,3]=>[1,5,7,2,4,6,3]=>[4,2,1]
[2,4,6,7,3,5,1]=>[1,2,4,6,7,3,5]=>[1,2,7,4,3,6,5]=>[4,2,1]
[2,4,6,7,5,1,3]=>[1,3,2,4,6,7,5]=>[1,3,2,4,7,6,5]=>[4,2,1]
[2,4,6,7,5,3,1]=>[1,2,4,6,7,3,5]=>[1,2,7,4,3,6,5]=>[4,2,1]
[2,4,7,1,3,5,6]=>[1,3,5,6,2,4,7]=>[1,6,3,2,5,4,7]=>[4,2,1]
[2,4,7,1,3,6,5]=>[1,3,6,2,4,7,5]=>[1,6,3,2,7,4,5]=>[4,2,1]
[2,4,7,1,5,3,6]=>[1,5,2,4,7,3,6]=>[1,5,7,2,4,3,6]=>[4,2,1]
[2,4,7,1,5,6,3]=>[1,5,6,2,4,7,3]=>[1,6,7,2,5,4,3]=>[3,2,1,1]
[2,4,7,1,6,3,5]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>[5,2]
[2,4,7,1,6,5,3]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>[5,2]
[2,4,7,3,1,5,6]=>[1,5,6,2,4,7,3]=>[1,6,7,2,5,4,3]=>[3,2,1,1]
[2,4,7,3,1,6,5]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>[5,2]
[2,4,7,3,5,1,6]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>[5,2]
[2,4,7,3,5,6,1]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[5,1,1]
[2,4,7,3,6,1,5]=>[1,5,2,4,7,3,6]=>[1,5,7,2,4,3,6]=>[4,2,1]
[2,4,7,3,6,5,1]=>[1,2,4,7,3,6,5]=>[1,2,7,4,6,3,5]=>[4,2,1]
[2,4,7,5,1,3,6]=>[1,3,6,2,4,7,5]=>[1,6,3,2,7,4,5]=>[4,2,1]
[2,4,7,5,1,6,3]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>[5,2]
[2,4,7,5,3,1,6]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>[5,2]
[2,4,7,5,3,6,1]=>[1,2,4,7,3,6,5]=>[1,2,7,4,6,3,5]=>[4,2,1]
[2,4,7,5,6,1,3]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[5,2]
[2,4,7,5,6,3,1]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[5,1,1]
[2,4,7,6,1,3,5]=>[1,3,5,2,4,7,6]=>[1,5,3,2,4,7,6]=>[4,2,1]
[2,4,7,6,1,5,3]=>[1,5,2,4,7,3,6]=>[1,5,7,2,4,3,6]=>[4,2,1]
[2,4,7,6,3,1,5]=>[1,5,2,4,7,3,6]=>[1,5,7,2,4,3,6]=>[4,2,1]
[2,4,7,6,3,5,1]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[5,1,1]
[2,4,7,6,5,1,3]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[5,2]
[2,4,7,6,5,3,1]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[5,1,1]
[2,5,1,3,4,6,7]=>[1,3,4,6,7,2,5]=>[1,7,3,4,2,6,5]=>[4,2,1]
[2,5,1,3,4,7,6]=>[1,3,4,7,2,5,6]=>[1,7,3,4,2,5,6]=>[5,1,1]
[2,5,1,3,6,4,7]=>[1,3,6,2,5,4,7]=>[1,6,3,5,2,4,7]=>[4,2,1]
[2,5,1,3,6,7,4]=>[1,3,6,7,2,5,4]=>[1,7,3,5,2,6,4]=>[4,2,1]
[2,5,1,3,7,4,6]=>[1,3,7,2,5,4,6]=>[1,7,3,5,2,4,6]=>[4,2,1]
[2,5,1,3,7,6,4]=>[1,3,7,2,5,4,6]=>[1,7,3,5,2,4,6]=>[4,2,1]
[2,5,1,4,3,6,7]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[5,2]
[2,5,1,4,3,7,6]=>[1,4,2,5,3,7,6]=>[1,4,5,2,3,7,6]=>[4,3]
[2,5,1,4,6,3,7]=>[1,4,6,2,5,3,7]=>[1,6,5,4,2,3,7]=>[4,1,1,1]
[2,5,1,4,6,7,3]=>[1,4,6,7,2,5,3]=>[1,7,5,4,2,6,3]=>[3,2,1,1]
[2,5,1,4,7,3,6]=>[1,4,7,2,5,3,6]=>[1,7,5,4,2,3,6]=>[4,1,1,1]
[2,5,1,4,7,6,3]=>[1,4,7,2,5,3,6]=>[1,7,5,4,2,3,6]=>[4,1,1,1]
[2,5,1,6,3,4,7]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[4,1,1,1]
[2,5,1,6,3,7,4]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>[4,2,1]
[2,5,1,6,4,3,7]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>[4,2,1]
[2,5,1,6,4,7,3]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[4,1,1,1]
[2,5,1,6,7,3,4]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>[3,2,1,1]
[2,5,1,6,7,4,3]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>[3,2,1,1]
[2,5,1,7,3,4,6]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[4,1,1,1]
[2,5,1,7,3,6,4]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>[4,2,1]
[2,5,1,7,4,3,6]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>[4,2,1]
[2,5,1,7,4,6,3]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[4,1,1,1]
[2,5,1,7,6,3,4]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[4,1,1,1]
[2,5,1,7,6,4,3]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[4,1,1,1]
[2,5,3,1,4,6,7]=>[1,4,6,7,2,5,3]=>[1,7,5,4,2,6,3]=>[3,2,1,1]
[2,5,3,1,4,7,6]=>[1,4,7,2,5,3,6]=>[1,7,5,4,2,3,6]=>[4,1,1,1]
[2,5,3,1,6,4,7]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[4,1,1,1]
[2,5,3,1,6,7,4]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>[3,2,1,1]
[2,5,3,1,7,4,6]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[4,1,1,1]
[2,5,3,1,7,6,4]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[4,1,1,1]
[2,5,3,4,1,6,7]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>[3,2,1,1]
[2,5,3,4,1,7,6]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[4,1,1,1]
[2,5,3,4,6,1,7]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[4,1,1,1]
[2,5,3,4,6,7,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[6,1]
[2,5,3,4,7,1,6]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[4,1,1,1]
[2,5,3,4,7,6,1]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>[5,2]
[2,5,3,6,1,4,7]=>[1,4,7,2,5,3,6]=>[1,7,5,4,2,3,6]=>[4,1,1,1]
[2,5,3,6,1,7,4]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>[4,2,1]
[2,5,3,6,4,1,7]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>[4,2,1]
[2,5,3,6,4,7,1]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[5,2]
[2,5,3,6,7,1,4]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[5,2]
[2,5,3,6,7,4,1]=>[1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4]=>[4,2,1]
[2,5,3,7,1,4,6]=>[1,4,6,2,5,3,7]=>[1,6,5,4,2,3,7]=>[4,1,1,1]
[2,5,3,7,1,6,4]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>[4,2,1]
[2,5,3,7,4,1,6]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>[4,2,1]
[2,5,3,7,4,6,1]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[5,2]
[2,5,3,7,6,1,4]=>[1,4,2,5,3,7,6]=>[1,4,5,2,3,7,6]=>[4,3]
[2,5,3,7,6,4,1]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[5,2]
[2,5,4,1,3,6,7]=>[1,3,6,7,2,5,4]=>[1,7,3,5,2,6,4]=>[4,2,1]
[2,5,4,1,3,7,6]=>[1,3,7,2,5,4,6]=>[1,7,3,5,2,4,6]=>[4,2,1]
[2,5,4,1,6,3,7]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>[4,2,1]
[2,5,4,1,6,7,3]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>[3,2,1,1]
[2,5,4,1,7,3,6]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>[4,2,1]
[2,5,4,1,7,6,3]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[4,1,1,1]
[2,5,4,3,1,6,7]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>[3,2,1,1]
[2,5,4,3,1,7,6]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[4,1,1,1]
[2,5,4,3,6,1,7]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>[4,2,1]
[2,5,4,3,6,7,1]=>[1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4]=>[4,2,1]
[2,5,4,3,7,1,6]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>[4,2,1]
[2,5,4,3,7,6,1]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[5,2]
[2,5,4,6,1,3,7]=>[1,3,7,2,5,4,6]=>[1,7,3,5,2,4,6]=>[4,2,1]
[2,5,4,6,1,7,3]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[4,1,1,1]
[2,5,4,6,3,1,7]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[4,1,1,1]
[2,5,4,6,3,7,1]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[5,2]
[2,5,4,6,7,1,3]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[5,2]
[2,5,4,6,7,3,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[6,1]
[2,5,4,7,1,3,6]=>[1,3,6,2,5,4,7]=>[1,6,3,5,2,4,7]=>[4,2,1]
[2,5,4,7,1,6,3]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[4,1,1,1]
[2,5,4,7,3,1,6]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[4,1,1,1]
[2,5,4,7,3,6,1]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[5,2]
[2,5,4,7,6,1,3]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[4,3]
[2,5,4,7,6,3,1]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>[5,2]
[2,5,6,1,3,4,7]=>[1,3,4,7,2,5,6]=>[1,7,3,4,2,5,6]=>[5,1,1]
[2,5,6,1,3,7,4]=>[1,3,7,2,5,6,4]=>[1,7,3,6,2,5,4]=>[3,2,1,1]
[2,5,6,1,4,3,7]=>[1,4,2,5,6,3,7]=>[1,4,6,2,5,3,7]=>[4,2,1]
[2,5,6,1,4,7,3]=>[1,4,7,2,5,6,3]=>[1,7,6,4,2,5,3]=>[3,2,1,1]
[2,5,6,1,7,3,4]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>[3,2,1,1]
[2,5,6,1,7,4,3]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>[3,2,1,1]
[2,5,6,3,1,4,7]=>[1,4,7,2,5,6,3]=>[1,7,6,4,2,5,3]=>[3,2,1,1]
[2,5,6,3,1,7,4]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>[3,2,1,1]
[2,5,6,3,4,1,7]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>[3,2,1,1]
[2,5,6,3,4,7,1]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>[5,1,1]
[2,5,6,3,7,1,4]=>[1,4,2,5,6,3,7]=>[1,4,6,2,5,3,7]=>[4,2,1]
[2,5,6,3,7,4,1]=>[1,2,5,6,3,7,4]=>[1,2,6,7,5,3,4]=>[4,2,1]
[2,5,6,4,1,3,7]=>[1,3,7,2,5,6,4]=>[1,7,3,6,2,5,4]=>[3,2,1,1]
[2,5,6,4,1,7,3]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>[3,2,1,1]
[2,5,6,4,3,1,7]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>[3,2,1,1]
[2,5,6,4,3,7,1]=>[1,2,5,6,3,7,4]=>[1,2,6,7,5,3,4]=>[4,2,1]
[2,5,6,4,7,1,3]=>[1,3,2,5,6,4,7]=>[1,3,2,6,5,4,7]=>[4,2,1]
[2,5,6,4,7,3,1]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>[5,1,1]
[2,5,6,7,1,3,4]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[5,1,1]
[2,5,6,7,1,4,3]=>[1,4,2,5,6,7,3]=>[1,4,7,2,5,6,3]=>[4,2,1]
[2,5,6,7,3,1,4]=>[1,4,2,5,6,7,3]=>[1,4,7,2,5,6,3]=>[4,2,1]
[2,5,6,7,3,4,1]=>[1,2,5,6,7,3,4]=>[1,2,7,3,5,6,4]=>[5,1,1]
[2,5,6,7,4,1,3]=>[1,3,2,5,6,7,4]=>[1,3,2,7,5,6,4]=>[4,2,1]
[2,5,6,7,4,3,1]=>[1,2,5,6,7,3,4]=>[1,2,7,3,5,6,4]=>[5,1,1]
[2,5,7,1,3,4,6]=>[1,3,4,6,2,5,7]=>[1,6,3,4,2,5,7]=>[5,1,1]
[2,5,7,1,3,6,4]=>[1,3,6,2,5,7,4]=>[1,6,3,7,2,5,4]=>[3,2,2]
[2,5,7,1,4,3,6]=>[1,4,2,5,7,3,6]=>[1,4,7,2,5,3,6]=>[4,2,1]
[2,5,7,1,4,6,3]=>[1,4,6,2,5,7,3]=>[1,6,7,4,2,5,3]=>[3,2,2]
[2,5,7,1,6,3,4]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>[3,2,2]
[2,5,7,1,6,4,3]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>[3,2,2]
[2,5,7,3,1,4,6]=>[1,4,6,2,5,7,3]=>[1,6,7,4,2,5,3]=>[3,2,2]
[2,5,7,3,1,6,4]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>[3,2,2]
[2,5,7,3,4,1,6]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>[3,2,2]
[2,5,7,3,4,6,1]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[5,1,1]
[2,5,7,3,6,1,4]=>[1,4,2,5,7,3,6]=>[1,4,7,2,5,3,6]=>[4,2,1]
[2,5,7,3,6,4,1]=>[1,2,5,7,3,6,4]=>[1,2,7,6,5,3,4]=>[4,1,1,1]
[2,5,7,4,1,3,6]=>[1,3,6,2,5,7,4]=>[1,6,3,7,2,5,4]=>[3,2,2]
[2,5,7,4,1,6,3]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>[3,2,2]
[2,5,7,4,3,1,6]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>[3,2,2]
[2,5,7,4,3,6,1]=>[1,2,5,7,3,6,4]=>[1,2,7,6,5,3,4]=>[4,1,1,1]
[2,5,7,4,6,1,3]=>[1,3,2,5,7,4,6]=>[1,3,2,7,5,4,6]=>[4,2,1]
[2,5,7,4,6,3,1]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[5,1,1]
[2,5,7,6,1,3,4]=>[1,3,4,2,5,7,6]=>[1,4,3,2,5,7,6]=>[4,2,1]
[2,5,7,6,1,4,3]=>[1,4,2,5,7,3,6]=>[1,4,7,2,5,3,6]=>[4,2,1]
[2,5,7,6,3,1,4]=>[1,4,2,5,7,3,6]=>[1,4,7,2,5,3,6]=>[4,2,1]
[2,5,7,6,3,4,1]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[5,1,1]
[2,5,7,6,4,1,3]=>[1,3,2,5,7,4,6]=>[1,3,2,7,5,4,6]=>[4,2,1]
[2,5,7,6,4,3,1]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[5,1,1]
[2,6,1,3,4,5,7]=>[1,3,4,5,7,2,6]=>[1,7,3,4,5,2,6]=>[5,1,1]
[2,6,1,3,4,7,5]=>[1,3,4,7,2,6,5]=>[1,7,3,4,6,2,5]=>[4,2,1]
[2,6,1,3,5,4,7]=>[1,3,5,2,6,4,7]=>[1,5,3,6,2,4,7]=>[4,2,1]
[2,6,1,3,5,7,4]=>[1,3,5,7,2,6,4]=>[1,7,3,6,5,2,4]=>[3,2,1,1]
[2,6,1,3,7,4,5]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>[4,1,1,1]
[2,6,1,3,7,5,4]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>[4,1,1,1]
[2,6,1,4,3,5,7]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[5,2]
[2,6,1,4,3,7,5]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[4,3]
[2,6,1,4,5,3,7]=>[1,4,5,2,6,3,7]=>[1,5,6,4,2,3,7]=>[4,2,1]
[2,6,1,4,5,7,3]=>[1,4,5,7,2,6,3]=>[1,7,6,4,5,2,3]=>[3,2,1,1]
[2,6,1,4,7,3,5]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>[3,1,1,1,1]
[2,6,1,4,7,5,3]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>[3,1,1,1,1]
[2,6,1,5,3,4,7]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[4,2,1]
[2,6,1,5,3,7,4]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[4,3]
[2,6,1,5,4,3,7]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[4,3]
[2,6,1,5,4,7,3]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[4,2,1]
[2,6,1,5,7,3,4]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>[3,2,1,1]
[2,6,1,5,7,4,3]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>[3,2,1,1]
[2,6,1,7,3,4,5]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[2,6,1,7,3,5,4]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>[3,1,1,1,1]
[2,6,1,7,4,3,5]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>[3,1,1,1,1]
[2,6,1,7,4,5,3]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[2,6,1,7,5,3,4]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[2,6,1,7,5,4,3]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[2,6,3,1,4,5,7]=>[1,4,5,7,2,6,3]=>[1,7,6,4,5,2,3]=>[3,2,1,1]
[2,6,3,1,4,7,5]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>[3,1,1,1,1]
[2,6,3,1,5,4,7]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[4,2,1]
[2,6,3,1,5,7,4]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>[3,2,1,1]
[2,6,3,1,7,4,5]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[2,6,3,1,7,5,4]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[2,6,3,4,1,5,7]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>[3,2,1,1]
[2,6,3,4,1,7,5]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[2,6,3,4,5,1,7]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[2,6,3,4,5,7,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[6,1]
[2,6,3,4,7,1,5]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[4,2,1]
[2,6,3,4,7,5,1]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[5,2]
[2,6,3,5,1,4,7]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>[3,1,1,1,1]
[2,6,3,5,1,7,4]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>[3,1,1,1,1]
[2,6,3,5,4,1,7]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>[3,1,1,1,1]
[2,6,3,5,4,7,1]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>[5,1,1]
[2,6,3,5,7,1,4]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[5,2]
[2,6,3,5,7,4,1]=>[1,2,6,3,5,7,4]=>[1,2,6,7,3,5,4]=>[4,2,1]
[2,6,3,7,1,4,5]=>[1,4,5,2,6,3,7]=>[1,5,6,4,2,3,7]=>[4,2,1]
[2,6,3,7,1,5,4]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[4,3]
[2,6,3,7,4,1,5]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[4,3]
[2,6,3,7,4,5,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[4,2,1]
[2,6,3,7,5,1,4]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[4,3]
[2,6,3,7,5,4,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[4,2,1]
[2,6,4,1,3,5,7]=>[1,3,5,7,2,6,4]=>[1,7,3,6,5,2,4]=>[3,2,1,1]
[2,6,4,1,3,7,5]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>[4,1,1,1]
[2,6,4,1,5,3,7]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[4,3]
[2,6,4,1,5,7,3]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>[3,2,1,1]
[2,6,4,1,7,3,5]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>[3,1,1,1,1]
[2,6,4,1,7,5,3]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[2,6,4,3,1,5,7]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>[3,2,1,1]
[2,6,4,3,1,7,5]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[2,6,4,3,5,1,7]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>[3,1,1,1,1]
[2,6,4,3,5,7,1]=>[1,2,6,3,5,7,4]=>[1,2,6,7,3,5,4]=>[4,2,1]
[2,6,4,3,7,1,5]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[4,3]
[2,6,4,3,7,5,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[4,2,1]
[2,6,4,5,1,3,7]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>[4,1,1,1]
[2,6,4,5,1,7,3]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[2,6,4,5,3,1,7]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[2,6,4,5,3,7,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[4,2,1]
[2,6,4,5,7,1,3]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[5,2]
[2,6,4,5,7,3,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[6,1]
[2,6,4,7,1,3,5]=>[1,3,5,2,6,4,7]=>[1,5,3,6,2,4,7]=>[4,2,1]
[2,6,4,7,1,5,3]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[4,2,1]
[2,6,4,7,3,1,5]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[4,2,1]
[2,6,4,7,3,5,1]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>[5,1,1]
[2,6,4,7,5,1,3]=>[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5]=>[4,3]
[2,6,4,7,5,3,1]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[5,2]
[2,6,5,1,3,4,7]=>[1,3,4,7,2,6,5]=>[1,7,3,4,6,2,5]=>[4,2,1]
[2,6,5,1,3,7,4]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>[4,1,1,1]
[2,6,5,1,4,3,7]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[4,3]
[2,6,5,1,4,7,3]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>[3,1,1,1,1]
[2,6,5,1,7,3,4]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[2,6,5,1,7,4,3]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[2,6,5,3,1,4,7]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>[3,1,1,1,1]
[2,6,5,3,1,7,4]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[2,6,5,3,4,1,7]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[2,6,5,3,4,7,1]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[5,2]
[2,6,5,3,7,1,4]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[4,3]
[2,6,5,3,7,4,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[4,2,1]
[2,6,5,4,1,3,7]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>[4,1,1,1]
[2,6,5,4,1,7,3]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[2,6,5,4,3,1,7]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[2,6,5,4,3,7,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[4,2,1]
[2,6,5,4,7,1,3]=>[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5]=>[4,3]
[2,6,5,4,7,3,1]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[5,2]
[2,6,5,7,1,3,4]=>[1,3,4,2,6,5,7]=>[1,4,3,2,6,5,7]=>[4,2,1]
[2,6,5,7,1,4,3]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[5,2]
[2,6,5,7,3,1,4]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[5,2]
[2,6,5,7,3,4,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[6,1]
[2,6,5,7,4,1,3]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[5,2]
[2,6,5,7,4,3,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[6,1]
[2,6,7,1,3,4,5]=>[1,3,4,5,2,6,7]=>[1,5,3,4,2,6,7]=>[5,1,1]
[2,6,7,1,3,5,4]=>[1,3,5,2,6,7,4]=>[1,5,3,7,2,6,4]=>[3,2,2]
[2,6,7,1,4,3,5]=>[1,4,2,6,7,3,5]=>[1,4,7,2,3,6,5]=>[4,2,1]
[2,6,7,1,4,5,3]=>[1,4,5,2,6,7,3]=>[1,5,7,4,2,6,3]=>[3,2,2]
[2,6,7,1,5,3,4]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>[3,2,2]
[2,6,7,1,5,4,3]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>[3,2,2]
[2,6,7,3,1,4,5]=>[1,4,5,2,6,7,3]=>[1,5,7,4,2,6,3]=>[3,2,2]
[2,6,7,3,1,5,4]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>[3,2,2]
[2,6,7,3,4,1,5]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>[3,2,2]
[2,6,7,3,4,5,1]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[5,1,1]
[2,6,7,3,5,1,4]=>[1,4,2,6,7,3,5]=>[1,4,7,2,3,6,5]=>[4,2,1]
[2,6,7,3,5,4,1]=>[1,2,6,7,3,5,4]=>[1,2,7,5,3,6,4]=>[4,2,1]
[2,6,7,4,1,3,5]=>[1,3,5,2,6,7,4]=>[1,5,3,7,2,6,4]=>[3,2,2]
[2,6,7,4,1,5,3]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>[3,2,2]
[2,6,7,4,3,1,5]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>[3,2,2]
[2,6,7,4,3,5,1]=>[1,2,6,7,3,5,4]=>[1,2,7,5,3,6,4]=>[4,2,1]
[2,6,7,4,5,1,3]=>[1,3,2,6,7,4,5]=>[1,3,2,7,4,6,5]=>[4,2,1]
[2,6,7,4,5,3,1]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[5,1,1]
[2,6,7,5,1,3,4]=>[1,3,4,2,6,7,5]=>[1,4,3,2,7,6,5]=>[3,2,2]
[2,6,7,5,1,4,3]=>[1,4,2,6,7,3,5]=>[1,4,7,2,3,6,5]=>[4,2,1]
[2,6,7,5,3,1,4]=>[1,4,2,6,7,3,5]=>[1,4,7,2,3,6,5]=>[4,2,1]
[2,6,7,5,3,4,1]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[5,1,1]
[2,6,7,5,4,1,3]=>[1,3,2,6,7,4,5]=>[1,3,2,7,4,6,5]=>[4,2,1]
[2,6,7,5,4,3,1]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[5,1,1]
[2,7,1,3,4,5,6]=>[1,3,4,5,6,2,7]=>[1,6,3,4,5,2,7]=>[5,1,1]
[2,7,1,3,4,6,5]=>[1,3,4,6,2,7,5]=>[1,6,3,4,7,2,5]=>[4,2,1]
[2,7,1,3,5,4,6]=>[1,3,5,2,7,4,6]=>[1,5,3,7,2,4,6]=>[4,2,1]
[2,7,1,3,5,6,4]=>[1,3,5,6,2,7,4]=>[1,6,3,7,5,2,4]=>[3,2,2]
[2,7,1,3,6,4,5]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>[4,2,1]
[2,7,1,3,6,5,4]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>[4,2,1]
[2,7,1,4,3,5,6]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[5,2]
[2,7,1,4,3,6,5]=>[1,4,2,7,3,6,5]=>[1,4,7,2,6,3,5]=>[4,2,1]
[2,7,1,4,5,3,6]=>[1,4,5,2,7,3,6]=>[1,5,7,4,2,3,6]=>[4,2,1]
[2,7,1,4,5,6,3]=>[1,4,5,6,2,7,3]=>[1,6,7,4,5,2,3]=>[3,2,2]
[2,7,1,4,6,3,5]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>[3,2,1,1]
[2,7,1,4,6,5,3]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>[3,2,1,1]
[2,7,1,5,3,4,6]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[4,2,1]
[2,7,1,5,3,6,4]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>[4,2,1]
[2,7,1,5,4,3,6]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>[4,2,1]
[2,7,1,5,4,6,3]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[4,2,1]
[2,7,1,5,6,3,4]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>[3,2,2]
[2,7,1,5,6,4,3]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>[3,2,2]
[2,7,1,6,3,4,5]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[2,7,1,6,3,5,4]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>[3,2,1,1]
[2,7,1,6,4,3,5]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>[3,2,1,1]
[2,7,1,6,4,5,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[2,7,1,6,5,3,4]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[2,7,1,6,5,4,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[2,7,3,1,4,5,6]=>[1,4,5,6,2,7,3]=>[1,6,7,4,5,2,3]=>[3,2,2]
[2,7,3,1,4,6,5]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>[3,2,1,1]
[2,7,3,1,5,4,6]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[4,2,1]
[2,7,3,1,5,6,4]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>[3,2,2]
[2,7,3,1,6,4,5]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[2,7,3,1,6,5,4]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[2,7,3,4,1,5,6]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>[3,2,2]
[2,7,3,4,1,6,5]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[2,7,3,4,5,1,6]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[2,7,3,4,5,6,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[2,7,3,4,6,1,5]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[4,2,1]
[2,7,3,4,6,5,1]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[5,1,1]
[2,7,3,5,1,4,6]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>[3,2,1,1]
[2,7,3,5,1,6,4]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>[3,2,1,1]
[2,7,3,5,4,1,6]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>[3,2,1,1]
[2,7,3,5,4,6,1]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[5,1,1]
[2,7,3,5,6,1,4]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[5,2]
[2,7,3,5,6,4,1]=>[1,2,7,3,5,6,4]=>[1,2,7,6,3,5,4]=>[4,1,1,1]
[2,7,3,6,1,4,5]=>[1,4,5,2,7,3,6]=>[1,5,7,4,2,3,6]=>[4,2,1]
[2,7,3,6,1,5,4]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>[4,2,1]
[2,7,3,6,4,1,5]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>[4,2,1]
[2,7,3,6,4,5,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[4,1,1,1]
[2,7,3,6,5,1,4]=>[1,4,2,7,3,6,5]=>[1,4,7,2,6,3,5]=>[4,2,1]
[2,7,3,6,5,4,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[4,1,1,1]
[2,7,4,1,3,5,6]=>[1,3,5,6,2,7,4]=>[1,6,3,7,5,2,4]=>[3,2,2]
[2,7,4,1,3,6,5]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>[4,2,1]
[2,7,4,1,5,3,6]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>[4,2,1]
[2,7,4,1,5,6,3]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>[3,2,2]
[2,7,4,1,6,3,5]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>[3,2,1,1]
[2,7,4,1,6,5,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[2,7,4,3,1,5,6]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>[3,2,2]
[2,7,4,3,1,6,5]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[2,7,4,3,5,1,6]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>[3,2,1,1]
[2,7,4,3,5,6,1]=>[1,2,7,3,5,6,4]=>[1,2,7,6,3,5,4]=>[4,1,1,1]
[2,7,4,3,6,1,5]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>[4,2,1]
[2,7,4,3,6,5,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[4,1,1,1]
[2,7,4,5,1,3,6]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>[4,2,1]
[2,7,4,5,1,6,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[2,7,4,5,3,1,6]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[2,7,4,5,3,6,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[4,1,1,1]
[2,7,4,5,6,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[5,2]
[2,7,4,5,6,3,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[2,7,4,6,1,3,5]=>[1,3,5,2,7,4,6]=>[1,5,3,7,2,4,6]=>[4,2,1]
[2,7,4,6,1,5,3]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[4,2,1]
[2,7,4,6,3,1,5]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[4,2,1]
[2,7,4,6,3,5,1]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[5,1,1]
[2,7,4,6,5,1,3]=>[1,3,2,7,4,6,5]=>[1,3,2,7,6,4,5]=>[4,2,1]
[2,7,4,6,5,3,1]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[5,1,1]
[2,7,5,1,3,4,6]=>[1,3,4,6,2,7,5]=>[1,6,3,4,7,2,5]=>[4,2,1]
[2,7,5,1,3,6,4]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>[4,2,1]
[2,7,5,1,4,3,6]=>[1,4,2,7,3,6,5]=>[1,4,7,2,6,3,5]=>[4,2,1]
[2,7,5,1,4,6,3]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>[3,2,1,1]
[2,7,5,1,6,3,4]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[2,7,5,1,6,4,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[2,7,5,3,1,4,6]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>[3,2,1,1]
[2,7,5,3,1,6,4]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[2,7,5,3,4,1,6]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[2,7,5,3,4,6,1]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[5,1,1]
[2,7,5,3,6,1,4]=>[1,4,2,7,3,6,5]=>[1,4,7,2,6,3,5]=>[4,2,1]
[2,7,5,3,6,4,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[4,1,1,1]
[2,7,5,4,1,3,6]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>[4,2,1]
[2,7,5,4,1,6,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[2,7,5,4,3,1,6]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[2,7,5,4,3,6,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[4,1,1,1]
[2,7,5,4,6,1,3]=>[1,3,2,7,4,6,5]=>[1,3,2,7,6,4,5]=>[4,2,1]
[2,7,5,4,6,3,1]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[5,1,1]
[2,7,5,6,1,3,4]=>[1,3,4,2,7,5,6]=>[1,4,3,2,7,5,6]=>[4,2,1]
[2,7,5,6,1,4,3]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[5,2]
[2,7,5,6,3,1,4]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[5,2]
[2,7,5,6,3,4,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[2,7,5,6,4,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[5,2]
[2,7,5,6,4,3,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[2,7,6,1,3,4,5]=>[1,3,4,5,2,7,6]=>[1,5,3,4,2,7,6]=>[4,2,1]
[2,7,6,1,3,5,4]=>[1,3,5,2,7,4,6]=>[1,5,3,7,2,4,6]=>[4,2,1]
[2,7,6,1,4,3,5]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[5,2]
[2,7,6,1,4,5,3]=>[1,4,5,2,7,3,6]=>[1,5,7,4,2,3,6]=>[4,2,1]
[2,7,6,1,5,3,4]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[4,2,1]
[2,7,6,1,5,4,3]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[4,2,1]
[2,7,6,3,1,4,5]=>[1,4,5,2,7,3,6]=>[1,5,7,4,2,3,6]=>[4,2,1]
[2,7,6,3,1,5,4]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[4,2,1]
[2,7,6,3,4,1,5]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[4,2,1]
[2,7,6,3,4,5,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[2,7,6,3,5,1,4]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[5,2]
[2,7,6,3,5,4,1]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[5,1,1]
[2,7,6,4,1,3,5]=>[1,3,5,2,7,4,6]=>[1,5,3,7,2,4,6]=>[4,2,1]
[2,7,6,4,1,5,3]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[4,2,1]
[2,7,6,4,3,1,5]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[4,2,1]
[2,7,6,4,3,5,1]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[5,1,1]
[2,7,6,4,5,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[5,2]
[2,7,6,4,5,3,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[2,7,6,5,1,3,4]=>[1,3,4,2,7,5,6]=>[1,4,3,2,7,5,6]=>[4,2,1]
[2,7,6,5,1,4,3]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[5,2]
[2,7,6,5,3,1,4]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[5,2]
[2,7,6,5,3,4,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[2,7,6,5,4,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[5,2]
[2,7,6,5,4,3,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[3,1,2,4,5,6,7]=>[1,2,4,5,6,7,3]=>[1,2,7,4,5,6,3]=>[5,1,1]
[3,1,2,4,5,7,6]=>[1,2,4,5,7,3,6]=>[1,2,7,4,5,3,6]=>[5,1,1]
[3,1,2,4,6,5,7]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>[5,1,1]
[3,1,2,4,6,7,5]=>[1,2,4,6,7,3,5]=>[1,2,7,4,3,6,5]=>[4,2,1]
[3,1,2,4,7,5,6]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[5,1,1]
[3,1,2,4,7,6,5]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[5,1,1]
[3,1,2,5,4,6,7]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[6,1]
[3,1,2,5,4,7,6]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>[5,2]
[3,1,2,5,6,4,7]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>[5,1,1]
[3,1,2,5,6,7,4]=>[1,2,5,6,7,3,4]=>[1,2,7,3,5,6,4]=>[5,1,1]
[3,1,2,5,7,4,6]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[5,1,1]
[3,1,2,5,7,6,4]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[5,1,1]
[3,1,2,6,4,5,7]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[6,1]
[3,1,2,6,4,7,5]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[5,2]
[3,1,2,6,5,4,7]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[5,2]
[3,1,2,6,5,7,4]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[6,1]
[3,1,2,6,7,4,5]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[5,1,1]
[3,1,2,6,7,5,4]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[5,1,1]
[3,1,2,7,4,5,6]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[3,1,2,7,4,6,5]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[5,1,1]
[3,1,2,7,5,4,6]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[5,1,1]
[3,1,2,7,5,6,4]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[3,1,2,7,6,4,5]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[3,1,2,7,6,5,4]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[3,1,4,2,5,6,7]=>[1,4,2,5,6,7,3]=>[1,4,7,2,5,6,3]=>[4,2,1]
[3,1,4,2,5,7,6]=>[1,4,2,5,7,3,6]=>[1,4,7,2,5,3,6]=>[4,2,1]
[3,1,4,2,6,5,7]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[5,2]
[3,1,4,2,6,7,5]=>[1,4,2,6,7,3,5]=>[1,4,7,2,3,6,5]=>[4,2,1]
[3,1,4,2,7,5,6]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[5,2]
[3,1,4,2,7,6,5]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[5,2]
[3,1,4,5,2,6,7]=>[1,4,5,2,6,7,3]=>[1,5,7,4,2,6,3]=>[3,2,2]
[3,1,4,5,2,7,6]=>[1,4,5,2,7,3,6]=>[1,5,7,4,2,3,6]=>[4,2,1]
[3,1,4,5,6,2,7]=>[1,4,5,6,2,7,3]=>[1,6,7,4,5,2,3]=>[3,2,2]
[3,1,4,5,6,7,2]=>[1,4,5,6,7,2,3]=>[1,7,2,4,5,6,3]=>[5,1,1]
[3,1,4,5,7,2,6]=>[1,4,5,7,2,6,3]=>[1,7,6,4,5,2,3]=>[3,2,1,1]
[3,1,4,5,7,6,2]=>[1,4,5,7,2,3,6]=>[1,7,2,4,5,3,6]=>[5,1,1]
[3,1,4,6,2,5,7]=>[1,4,6,2,5,7,3]=>[1,6,7,4,2,5,3]=>[3,2,2]
[3,1,4,6,2,7,5]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>[3,2,1,1]
[3,1,4,6,5,2,7]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>[3,2,1,1]
[3,1,4,6,5,7,2]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[5,1,1]
[3,1,4,6,7,2,5]=>[1,4,6,7,2,5,3]=>[1,7,5,4,2,6,3]=>[3,2,1,1]
[3,1,4,6,7,5,2]=>[1,4,6,7,2,3,5]=>[1,7,2,4,3,6,5]=>[4,2,1]
[3,1,4,7,2,5,6]=>[1,4,7,2,5,6,3]=>[1,7,6,4,2,5,3]=>[3,2,1,1]
[3,1,4,7,2,6,5]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>[3,1,1,1,1]
[3,1,4,7,5,2,6]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>[3,1,1,1,1]
[3,1,4,7,5,6,2]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[5,1,1]
[3,1,4,7,6,2,5]=>[1,4,7,2,5,3,6]=>[1,7,5,4,2,3,6]=>[4,1,1,1]
[3,1,4,7,6,5,2]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[5,1,1]
[3,1,5,2,4,6,7]=>[1,5,2,4,6,7,3]=>[1,5,7,2,4,6,3]=>[4,2,1]
[3,1,5,2,4,7,6]=>[1,5,2,4,7,3,6]=>[1,5,7,2,4,3,6]=>[4,2,1]
[3,1,5,2,6,4,7]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[4,2,1]
[3,1,5,2,6,7,4]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>[3,2,2]
[3,1,5,2,7,4,6]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[4,2,1]
[3,1,5,2,7,6,4]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[4,2,1]
[3,1,5,4,2,6,7]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>[3,2,2]
[3,1,5,4,2,7,6]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[4,2,1]
[3,1,5,4,6,2,7]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[4,2,1]
[3,1,5,4,6,7,2]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[6,1]
[3,1,5,4,7,2,6]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[4,2,1]
[3,1,5,4,7,6,2]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[5,2]
[3,1,5,6,2,4,7]=>[1,5,6,2,4,7,3]=>[1,6,7,2,5,4,3]=>[3,2,1,1]
[3,1,5,6,2,7,4]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>[3,2,2]
[3,1,5,6,4,2,7]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>[3,2,2]
[3,1,5,6,4,7,2]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[5,1,1]
[3,1,5,6,7,2,4]=>[1,5,6,7,2,4,3]=>[1,7,4,2,5,6,3]=>[4,2,1]
[3,1,5,6,7,4,2]=>[1,5,6,7,2,3,4]=>[1,7,2,3,5,6,4]=>[5,1,1]
[3,1,5,7,2,4,6]=>[1,5,7,2,4,6,3]=>[1,7,6,2,5,4,3]=>[3,1,1,1,1]
[3,1,5,7,2,6,4]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>[3,2,1,1]
[3,1,5,7,4,2,6]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>[3,2,1,1]
[3,1,5,7,4,6,2]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[5,1,1]
[3,1,5,7,6,2,4]=>[1,5,7,2,4,3,6]=>[1,7,4,2,5,3,6]=>[4,2,1]
[3,1,5,7,6,4,2]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[5,1,1]
[3,1,6,2,4,5,7]=>[1,6,2,4,5,7,3]=>[1,6,7,2,4,5,3]=>[4,2,1]
[3,1,6,2,4,7,5]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>[5,2]
[3,1,6,2,5,4,7]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[4,1,1,1]
[3,1,6,2,5,7,4]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>[3,2,2]
[3,1,6,2,7,4,5]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[3,1,6,2,7,5,4]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[3,1,6,4,2,5,7]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>[3,2,2]
[3,1,6,4,2,7,5]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[3,1,6,4,5,2,7]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[3,1,6,4,5,7,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[3,1,6,4,7,2,5]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[4,1,1,1]
[3,1,6,4,7,5,2]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[5,2]
[3,1,6,5,2,4,7]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>[5,2]
[3,1,6,5,2,7,4]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[3,1,6,5,4,2,7]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[3,1,6,5,4,7,2]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[5,2]
[3,1,6,5,7,2,4]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[5,1,1]
[3,1,6,5,7,4,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[3,1,6,7,2,4,5]=>[1,6,7,2,4,5,3]=>[1,7,5,2,4,6,3]=>[4,1,1,1]
[3,1,6,7,2,5,4]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>[3,2,1,1]
[3,1,6,7,4,2,5]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>[3,2,1,1]
[3,1,6,7,4,5,2]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[5,1,1]
[3,1,6,7,5,2,4]=>[1,6,7,2,4,3,5]=>[1,7,4,2,3,6,5]=>[4,2,1]
[3,1,6,7,5,4,2]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[5,1,1]
[3,1,7,2,4,5,6]=>[1,7,2,4,5,6,3]=>[1,7,6,2,4,5,3]=>[4,1,1,1]
[3,1,7,2,4,6,5]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>[5,1,1]
[3,1,7,2,5,4,6]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[4,1,1,1]
[3,1,7,2,5,6,4]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>[3,2,1,1]
[3,1,7,2,6,4,5]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[3,1,7,2,6,5,4]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[3,1,7,4,2,5,6]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>[3,2,1,1]
[3,1,7,4,2,6,5]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[3,1,7,4,5,2,6]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[3,1,7,4,5,6,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[3,1,7,4,6,2,5]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[4,1,1,1]
[3,1,7,4,6,5,2]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[5,1,1]
[3,1,7,5,2,4,6]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>[5,1,1]
[3,1,7,5,2,6,4]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[3,1,7,5,4,2,6]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[3,1,7,5,4,6,2]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[5,1,1]
[3,1,7,5,6,2,4]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[5,1,1]
[3,1,7,5,6,4,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[3,1,7,6,2,4,5]=>[1,7,2,4,5,3,6]=>[1,7,5,2,4,3,6]=>[4,1,1,1]
[3,1,7,6,2,5,4]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[4,1,1,1]
[3,1,7,6,4,2,5]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[4,1,1,1]
[3,1,7,6,4,5,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[3,1,7,6,5,2,4]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[5,1,1]
[3,1,7,6,5,4,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[3,2,1,4,5,6,7]=>[1,4,5,6,7,2,3]=>[1,7,2,4,5,6,3]=>[5,1,1]
[3,2,1,4,5,7,6]=>[1,4,5,7,2,3,6]=>[1,7,2,4,5,3,6]=>[5,1,1]
[3,2,1,4,6,5,7]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[5,1,1]
[3,2,1,4,6,7,5]=>[1,4,6,7,2,3,5]=>[1,7,2,4,3,6,5]=>[4,2,1]
[3,2,1,4,7,5,6]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[5,1,1]
[3,2,1,4,7,6,5]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[5,1,1]
[3,2,1,5,4,6,7]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[6,1]
[3,2,1,5,4,7,6]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[5,2]
[3,2,1,5,6,4,7]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[5,1,1]
[3,2,1,5,6,7,4]=>[1,5,6,7,2,3,4]=>[1,7,2,3,5,6,4]=>[5,1,1]
[3,2,1,5,7,4,6]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[5,1,1]
[3,2,1,5,7,6,4]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[5,1,1]
[3,2,1,6,4,5,7]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[3,2,1,6,4,7,5]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[5,2]
[3,2,1,6,5,4,7]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[5,2]
[3,2,1,6,5,7,4]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[3,2,1,6,7,4,5]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[5,1,1]
[3,2,1,6,7,5,4]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[5,1,1]
[3,2,1,7,4,5,6]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[3,2,1,7,4,6,5]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[5,1,1]
[3,2,1,7,5,4,6]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[5,1,1]
[3,2,1,7,5,6,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[3,2,1,7,6,4,5]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[3,2,1,7,6,5,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[3,2,4,1,5,6,7]=>[1,5,6,7,2,4,3]=>[1,7,4,2,5,6,3]=>[4,2,1]
[3,2,4,1,5,7,6]=>[1,5,7,2,4,3,6]=>[1,7,4,2,5,3,6]=>[4,2,1]
[3,2,4,1,6,5,7]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[5,1,1]
[3,2,4,1,6,7,5]=>[1,6,7,2,4,3,5]=>[1,7,4,2,3,6,5]=>[4,2,1]
[3,2,4,1,7,5,6]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[5,1,1]
[3,2,4,1,7,6,5]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[5,1,1]
[3,2,4,5,1,6,7]=>[1,6,7,2,4,5,3]=>[1,7,5,2,4,6,3]=>[4,1,1,1]
[3,2,4,5,1,7,6]=>[1,7,2,4,5,3,6]=>[1,7,5,2,4,3,6]=>[4,1,1,1]
[3,2,4,5,6,1,7]=>[1,7,2,4,5,6,3]=>[1,7,6,2,4,5,3]=>[4,1,1,1]
[3,2,4,5,6,7,1]=>[1,2,4,5,6,7,3]=>[1,2,7,4,5,6,3]=>[5,1,1]
[3,2,4,5,7,1,6]=>[1,6,2,4,5,7,3]=>[1,6,7,2,4,5,3]=>[4,2,1]
[3,2,4,5,7,6,1]=>[1,2,4,5,7,3,6]=>[1,2,7,4,5,3,6]=>[5,1,1]
[3,2,4,6,1,5,7]=>[1,5,7,2,4,6,3]=>[1,7,6,2,5,4,3]=>[3,1,1,1,1]
[3,2,4,6,1,7,5]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>[5,1,1]
[3,2,4,6,5,1,7]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>[5,1,1]
[3,2,4,6,5,7,1]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>[5,1,1]
[3,2,4,6,7,1,5]=>[1,5,2,4,6,7,3]=>[1,5,7,2,4,6,3]=>[4,2,1]
[3,2,4,6,7,5,1]=>[1,2,4,6,7,3,5]=>[1,2,7,4,3,6,5]=>[4,2,1]
[3,2,4,7,1,5,6]=>[1,5,6,2,4,7,3]=>[1,6,7,2,5,4,3]=>[3,2,1,1]
[3,2,4,7,1,6,5]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>[5,2]
[3,2,4,7,5,1,6]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>[5,2]
[3,2,4,7,5,6,1]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[5,1,1]
[3,2,4,7,6,1,5]=>[1,5,2,4,7,3,6]=>[1,5,7,2,4,3,6]=>[4,2,1]
[3,2,4,7,6,5,1]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[5,1,1]
[3,2,5,1,4,6,7]=>[1,4,6,7,2,5,3]=>[1,7,5,4,2,6,3]=>[3,2,1,1]
[3,2,5,1,4,7,6]=>[1,4,7,2,5,3,6]=>[1,7,5,4,2,3,6]=>[4,1,1,1]
[3,2,5,1,6,4,7]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[4,1,1,1]
[3,2,5,1,6,7,4]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>[3,2,1,1]
[3,2,5,1,7,4,6]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[4,1,1,1]
[3,2,5,1,7,6,4]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[4,1,1,1]
[3,2,5,4,1,6,7]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>[3,2,1,1]
[3,2,5,4,1,7,6]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[4,1,1,1]
[3,2,5,4,6,1,7]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[4,1,1,1]
[3,2,5,4,6,7,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[6,1]
[3,2,5,4,7,1,6]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[4,1,1,1]
[3,2,5,4,7,6,1]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>[5,2]
[3,2,5,6,1,4,7]=>[1,4,7,2,5,6,3]=>[1,7,6,4,2,5,3]=>[3,2,1,1]
[3,2,5,6,1,7,4]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>[3,2,1,1]
[3,2,5,6,4,1,7]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>[3,2,1,1]
[3,2,5,6,4,7,1]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>[5,1,1]
[3,2,5,6,7,1,4]=>[1,4,2,5,6,7,3]=>[1,4,7,2,5,6,3]=>[4,2,1]
[3,2,5,6,7,4,1]=>[1,2,5,6,7,3,4]=>[1,2,7,3,5,6,4]=>[5,1,1]
[3,2,5,7,1,4,6]=>[1,4,6,2,5,7,3]=>[1,6,7,4,2,5,3]=>[3,2,2]
[3,2,5,7,1,6,4]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>[3,2,2]
[3,2,5,7,4,1,6]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>[3,2,2]
[3,2,5,7,4,6,1]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[5,1,1]
[3,2,5,7,6,1,4]=>[1,4,2,5,7,3,6]=>[1,4,7,2,5,3,6]=>[4,2,1]
[3,2,5,7,6,4,1]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[5,1,1]
[3,2,6,1,4,5,7]=>[1,4,5,7,2,6,3]=>[1,7,6,4,5,2,3]=>[3,2,1,1]
[3,2,6,1,4,7,5]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>[3,1,1,1,1]
[3,2,6,1,5,4,7]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[4,2,1]
[3,2,6,1,5,7,4]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>[3,2,1,1]
[3,2,6,1,7,4,5]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[3,2,6,1,7,5,4]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[3,2,6,4,1,5,7]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>[3,2,1,1]
[3,2,6,4,1,7,5]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[3,2,6,4,5,1,7]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[3,2,6,4,5,7,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[6,1]
[3,2,6,4,7,1,5]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[4,2,1]
[3,2,6,4,7,5,1]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[5,2]
[3,2,6,5,1,4,7]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>[3,1,1,1,1]
[3,2,6,5,1,7,4]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[3,2,6,5,4,1,7]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[3,2,6,5,4,7,1]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[5,2]
[3,2,6,5,7,1,4]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[5,2]
[3,2,6,5,7,4,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[6,1]
[3,2,6,7,1,4,5]=>[1,4,5,2,6,7,3]=>[1,5,7,4,2,6,3]=>[3,2,2]
[3,2,6,7,1,5,4]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>[3,2,2]
[3,2,6,7,4,1,5]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>[3,2,2]
[3,2,6,7,4,5,1]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[5,1,1]
[3,2,6,7,5,1,4]=>[1,4,2,6,7,3,5]=>[1,4,7,2,3,6,5]=>[4,2,1]
[3,2,6,7,5,4,1]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[5,1,1]
[3,2,7,1,4,5,6]=>[1,4,5,6,2,7,3]=>[1,6,7,4,5,2,3]=>[3,2,2]
[3,2,7,1,4,6,5]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>[3,2,1,1]
[3,2,7,1,5,4,6]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[4,2,1]
[3,2,7,1,5,6,4]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>[3,2,2]
[3,2,7,1,6,4,5]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[3,2,7,1,6,5,4]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[3,2,7,4,1,5,6]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>[3,2,2]
[3,2,7,4,1,6,5]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[3,2,7,4,5,1,6]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[3,2,7,4,5,6,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[3,2,7,4,6,1,5]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[4,2,1]
[3,2,7,4,6,5,1]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[5,1,1]
[3,2,7,5,1,4,6]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>[3,2,1,1]
[3,2,7,5,1,6,4]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[3,2,7,5,4,1,6]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[3,2,7,5,4,6,1]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[5,1,1]
[3,2,7,5,6,1,4]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[5,2]
[3,2,7,5,6,4,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[3,2,7,6,1,4,5]=>[1,4,5,2,7,3,6]=>[1,5,7,4,2,3,6]=>[4,2,1]
[3,2,7,6,1,5,4]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[4,2,1]
[3,2,7,6,4,1,5]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[4,2,1]
[3,2,7,6,4,5,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[3,2,7,6,5,1,4]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[5,2]
[3,2,7,6,5,4,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[3,4,1,2,5,6,7]=>[1,2,5,6,7,3,4]=>[1,2,7,3,5,6,4]=>[5,1,1]
[3,4,1,2,5,7,6]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[5,1,1]
[3,4,1,2,6,5,7]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[6,1]
[3,4,1,2,6,7,5]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[5,1,1]
[3,4,1,2,7,5,6]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[3,4,1,2,7,6,5]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[3,4,1,5,2,6,7]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>[3,2,2]
[3,4,1,5,2,7,6]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[4,2,1]
[3,4,1,5,6,2,7]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>[3,2,2]
[3,4,1,5,6,7,2]=>[1,5,6,7,2,3,4]=>[1,7,2,3,5,6,4]=>[5,1,1]
[3,4,1,5,7,2,6]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>[3,2,1,1]
[3,4,1,5,7,6,2]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[5,1,1]
[3,4,1,6,2,5,7]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>[3,2,2]
[3,4,1,6,2,7,5]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[3,4,1,6,5,2,7]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[3,4,1,6,5,7,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[3,4,1,6,7,2,5]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>[3,2,1,1]
[3,4,1,6,7,5,2]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[5,1,1]
[3,4,1,7,2,5,6]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>[3,2,1,1]
[3,4,1,7,2,6,5]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[3,4,1,7,5,2,6]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[3,4,1,7,5,6,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[3,4,1,7,6,2,5]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[4,1,1,1]
[3,4,1,7,6,5,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[3,4,2,1,5,6,7]=>[1,5,6,7,2,3,4]=>[1,7,2,3,5,6,4]=>[5,1,1]
[3,4,2,1,5,7,6]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[5,1,1]
[3,4,2,1,6,5,7]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[3,4,2,1,6,7,5]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[5,1,1]
[3,4,2,1,7,5,6]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[3,4,2,1,7,6,5]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[3,4,2,5,1,6,7]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>[3,2,1,1]
[3,4,2,5,1,7,6]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[4,1,1,1]
[3,4,2,5,6,1,7]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>[3,2,1,1]
[3,4,2,5,6,7,1]=>[1,2,5,6,7,3,4]=>[1,2,7,3,5,6,4]=>[5,1,1]
[3,4,2,5,7,1,6]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>[3,2,2]
[3,4,2,5,7,6,1]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[5,1,1]
[3,4,2,6,1,5,7]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>[3,2,1,1]
[3,4,2,6,1,7,5]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[3,4,2,6,5,1,7]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[3,4,2,6,5,7,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[6,1]
[3,4,2,6,7,1,5]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>[3,2,2]
[3,4,2,6,7,5,1]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[5,1,1]
[3,4,2,7,1,5,6]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>[3,2,2]
[3,4,2,7,1,6,5]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[3,4,2,7,5,1,6]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[3,4,2,7,5,6,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[3,4,2,7,6,1,5]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[4,2,1]
[3,4,2,7,6,5,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[3,4,5,1,2,6,7]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[5,1,1]
[3,4,5,1,2,7,6]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[3,4,5,1,6,2,7]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[3,4,5,1,6,7,2]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[5,1,1]
[3,4,5,1,7,2,6]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[3,4,5,1,7,6,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[3,4,5,2,1,6,7]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[5,1,1]
[3,4,5,2,1,7,6]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[3,4,5,2,6,1,7]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[3,4,5,2,6,7,1]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[5,1,1]
[3,4,5,2,7,1,6]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[3,4,5,2,7,6,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[3,4,5,6,1,2,7]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[3,4,5,6,1,7,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[3,4,5,6,2,1,7]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[3,4,5,6,2,7,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[3,4,5,6,7,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7]
[3,4,5,6,7,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7]
[3,4,5,7,1,2,6]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[6,1]
[3,4,5,7,1,6,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[3,4,5,7,2,1,6]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[3,4,5,7,2,6,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[6,1]
[3,4,5,7,6,1,2]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[6,1]
[3,4,5,7,6,2,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[6,1]
[3,4,6,1,2,5,7]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[5,1,1]
[3,4,6,1,2,7,5]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[5,1,1]
[3,4,6,1,5,2,7]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[4,2,1]
[3,4,6,1,5,7,2]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[5,1,1]
[3,4,6,1,7,2,5]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[4,1,1,1]
[3,4,6,1,7,5,2]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[5,1,1]
[3,4,6,2,1,5,7]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[5,1,1]
[3,4,6,2,1,7,5]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[5,1,1]
[3,4,6,2,5,1,7]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[4,1,1,1]
[3,4,6,2,5,7,1]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[5,1,1]
[3,4,6,2,7,1,5]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[4,2,1]
[3,4,6,2,7,5,1]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[5,1,1]
[3,4,6,5,1,2,7]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[5,1,1]
[3,4,6,5,1,7,2]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[5,1,1]
[3,4,6,5,2,1,7]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[5,1,1]
[3,4,6,5,2,7,1]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[5,1,1]
[3,4,6,5,7,1,2]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[6,1]
[3,4,6,5,7,2,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[6,1]
[3,4,6,7,1,2,5]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[6,1]
[3,4,6,7,1,5,2]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[6,1]
[3,4,6,7,2,1,5]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[6,1]
[3,4,6,7,2,5,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[6,1]
[3,4,6,7,5,1,2]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[5,1,1]
[3,4,6,7,5,2,1]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[5,1,1]
[3,4,7,1,2,5,6]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>[5,1,1]
[3,4,7,1,2,6,5]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[5,2]
[3,4,7,1,5,2,6]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[4,2,1]
[3,4,7,1,5,6,2]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[5,1,1]
[3,4,7,1,6,2,5]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[4,1,1,1]
[3,4,7,1,6,5,2]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[5,2]
[3,4,7,2,1,5,6]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[5,1,1]
[3,4,7,2,1,6,5]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[5,2]
[3,4,7,2,5,1,6]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[4,1,1,1]
[3,4,7,2,5,6,1]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>[5,1,1]
[3,4,7,2,6,1,5]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[4,2,1]
[3,4,7,2,6,5,1]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[5,2]
[3,4,7,5,1,2,6]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[5,2]
[3,4,7,5,1,6,2]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[5,2]
[3,4,7,5,2,1,6]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[5,2]
[3,4,7,5,2,6,1]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[5,2]
[3,4,7,5,6,1,2]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[6,1]
[3,4,7,5,6,2,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[6,1]
[3,4,7,6,1,2,5]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>[5,2]
[3,4,7,6,1,5,2]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[5,2]
[3,4,7,6,2,1,5]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[5,2]
[3,4,7,6,2,5,1]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>[5,2]
[3,4,7,6,5,1,2]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[6,1]
[3,4,7,6,5,2,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[6,1]
[3,5,1,2,4,6,7]=>[1,2,4,6,7,3,5]=>[1,2,7,4,3,6,5]=>[4,2,1]
[3,5,1,2,4,7,6]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[5,1,1]
[3,5,1,2,6,4,7]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>[5,1,1]
[3,5,1,2,6,7,4]=>[1,2,6,7,3,5,4]=>[1,2,7,5,3,6,4]=>[4,2,1]
[3,5,1,2,7,4,6]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[5,1,1]
[3,5,1,2,7,6,4]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[5,1,1]
[3,5,1,4,2,6,7]=>[1,4,2,6,7,3,5]=>[1,4,7,2,3,6,5]=>[4,2,1]
[3,5,1,4,2,7,6]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[5,2]
[3,5,1,4,6,2,7]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>[3,2,1,1]
[3,5,1,4,6,7,2]=>[1,4,6,7,2,3,5]=>[1,7,2,4,3,6,5]=>[4,2,1]
[3,5,1,4,7,2,6]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>[3,1,1,1,1]
[3,5,1,4,7,6,2]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[5,1,1]
[3,5,1,6,2,4,7]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>[5,2]
[3,5,1,6,2,7,4]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>[3,2,1,1]
[3,5,1,6,4,2,7]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>[3,2,1,1]
[3,5,1,6,4,7,2]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[5,1,1]
[3,5,1,6,7,2,4]=>[1,6,7,2,4,3,5]=>[1,7,4,2,3,6,5]=>[4,2,1]
[3,5,1,6,7,4,2]=>[1,6,7,2,3,5,4]=>[1,7,2,5,3,6,4]=>[4,2,1]
[3,5,1,7,2,4,6]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>[5,1,1]
[3,5,1,7,2,6,4]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>[3,1,1,1,1]
[3,5,1,7,4,2,6]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>[3,1,1,1,1]
[3,5,1,7,4,6,2]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[5,1,1]
[3,5,1,7,6,2,4]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[5,1,1]
[3,5,1,7,6,4,2]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[5,1,1]
[3,5,2,1,4,6,7]=>[1,4,6,7,2,3,5]=>[1,7,2,4,3,6,5]=>[4,2,1]
[3,5,2,1,4,7,6]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[5,1,1]
[3,5,2,1,6,4,7]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[5,1,1]
[3,5,2,1,6,7,4]=>[1,6,7,2,3,5,4]=>[1,7,2,5,3,6,4]=>[4,2,1]
[3,5,2,1,7,4,6]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[5,1,1]
[3,5,2,1,7,6,4]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[5,1,1]
[3,5,2,4,1,6,7]=>[1,6,7,2,4,3,5]=>[1,7,4,2,3,6,5]=>[4,2,1]
[3,5,2,4,1,7,6]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[5,1,1]
[3,5,2,4,6,1,7]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>[5,1,1]
[3,5,2,4,6,7,1]=>[1,2,4,6,7,3,5]=>[1,2,7,4,3,6,5]=>[4,2,1]
[3,5,2,4,7,1,6]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>[5,2]
[3,5,2,4,7,6,1]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[5,1,1]
[3,5,2,6,1,4,7]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>[3,1,1,1,1]
[3,5,2,6,1,7,4]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>[3,1,1,1,1]
[3,5,2,6,4,1,7]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>[3,1,1,1,1]
[3,5,2,6,4,7,1]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>[5,1,1]
[3,5,2,6,7,1,4]=>[1,4,2,6,7,3,5]=>[1,4,7,2,3,6,5]=>[4,2,1]
[3,5,2,6,7,4,1]=>[1,2,6,7,3,5,4]=>[1,2,7,5,3,6,4]=>[4,2,1]
[3,5,2,7,1,4,6]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>[3,2,1,1]
[3,5,2,7,1,6,4]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>[3,2,1,1]
[3,5,2,7,4,1,6]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>[3,2,1,1]
[3,5,2,7,4,6,1]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[5,1,1]
[3,5,2,7,6,1,4]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[5,2]
[3,5,2,7,6,4,1]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[5,1,1]
[3,5,4,1,2,6,7]=>[1,2,6,7,3,5,4]=>[1,2,7,5,3,6,4]=>[4,2,1]
[3,5,4,1,2,7,6]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[5,1,1]
[3,5,4,1,6,2,7]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>[3,2,1,1]
[3,5,4,1,6,7,2]=>[1,6,7,2,3,5,4]=>[1,7,2,5,3,6,4]=>[4,2,1]
[3,5,4,1,7,2,6]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>[3,1,1,1,1]
[3,5,4,1,7,6,2]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[5,1,1]
[3,5,4,2,1,6,7]=>[1,6,7,2,3,5,4]=>[1,7,2,5,3,6,4]=>[4,2,1]
[3,5,4,2,1,7,6]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[5,1,1]
[3,5,4,2,6,1,7]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>[3,1,1,1,1]
[3,5,4,2,6,7,1]=>[1,2,6,7,3,5,4]=>[1,2,7,5,3,6,4]=>[4,2,1]
[3,5,4,2,7,1,6]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>[3,2,1,1]
[3,5,4,2,7,6,1]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[5,1,1]
[3,5,4,6,1,2,7]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[5,1,1]
[3,5,4,6,1,7,2]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[5,1,1]
[3,5,4,6,2,1,7]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[5,1,1]
[3,5,4,6,2,7,1]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[5,1,1]
[3,5,4,6,7,1,2]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[6,1]
[3,5,4,6,7,2,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[6,1]
[3,5,4,7,1,2,6]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>[5,1,1]
[3,5,4,7,1,6,2]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[5,1,1]
[3,5,4,7,2,1,6]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[5,1,1]
[3,5,4,7,2,6,1]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>[5,1,1]
[3,5,4,7,6,1,2]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[5,2]
[3,5,4,7,6,2,1]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[5,2]
[3,5,6,1,2,4,7]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[5,1,1]
[3,5,6,1,2,7,4]=>[1,2,7,3,5,6,4]=>[1,2,7,6,3,5,4]=>[4,1,1,1]
[3,5,6,1,4,2,7]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[5,2]
[3,5,6,1,4,7,2]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[5,1,1]
[3,5,6,1,7,2,4]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[5,1,1]
[3,5,6,1,7,4,2]=>[1,7,2,3,5,6,4]=>[1,7,2,6,3,5,4]=>[4,1,1,1]
[3,5,6,2,1,4,7]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[5,1,1]
[3,5,6,2,1,7,4]=>[1,7,2,3,5,6,4]=>[1,7,2,6,3,5,4]=>[4,1,1,1]
[3,5,6,2,4,1,7]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[5,1,1]
[3,5,6,2,4,7,1]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[5,1,1]
[3,5,6,2,7,1,4]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[5,2]
[3,5,6,2,7,4,1]=>[1,2,7,3,5,6,4]=>[1,2,7,6,3,5,4]=>[4,1,1,1]
[3,5,6,4,1,2,7]=>[1,2,7,3,5,6,4]=>[1,2,7,6,3,5,4]=>[4,1,1,1]
[3,5,6,4,1,7,2]=>[1,7,2,3,5,6,4]=>[1,7,2,6,3,5,4]=>[4,1,1,1]
[3,5,6,4,2,1,7]=>[1,7,2,3,5,6,4]=>[1,7,2,6,3,5,4]=>[4,1,1,1]
[3,5,6,4,2,7,1]=>[1,2,7,3,5,6,4]=>[1,2,7,6,3,5,4]=>[4,1,1,1]
[3,5,6,4,7,1,2]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[5,1,1]
[3,5,6,4,7,2,1]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[5,1,1]
[3,5,6,7,1,2,4]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[6,1]
[3,5,6,7,1,4,2]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[6,1]
[3,5,6,7,2,1,4]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[6,1]
[3,5,6,7,2,4,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[6,1]
[3,5,6,7,4,1,2]=>[1,2,3,5,6,7,4]=>[1,2,3,7,5,6,4]=>[5,1,1]
[3,5,6,7,4,2,1]=>[1,2,3,5,6,7,4]=>[1,2,3,7,5,6,4]=>[5,1,1]
[3,5,7,1,2,4,6]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>[5,1,1]
[3,5,7,1,2,6,4]=>[1,2,6,3,5,7,4]=>[1,2,6,7,3,5,4]=>[4,2,1]
[3,5,7,1,4,2,6]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[5,2]
[3,5,7,1,4,6,2]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[5,1,1]
[3,5,7,1,6,2,4]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[5,1,1]
[3,5,7,1,6,4,2]=>[1,6,2,3,5,7,4]=>[1,6,2,7,3,5,4]=>[4,2,1]
[3,5,7,2,1,4,6]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[5,1,1]
[3,5,7,2,1,6,4]=>[1,6,2,3,5,7,4]=>[1,6,2,7,3,5,4]=>[4,2,1]
[3,5,7,2,4,1,6]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[5,1,1]
[3,5,7,2,4,6,1]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>[5,1,1]
[3,5,7,2,6,1,4]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[5,2]
[3,5,7,2,6,4,1]=>[1,2,6,3,5,7,4]=>[1,2,6,7,3,5,4]=>[4,2,1]
[3,5,7,4,1,2,6]=>[1,2,6,3,5,7,4]=>[1,2,6,7,3,5,4]=>[4,2,1]
[3,5,7,4,1,6,2]=>[1,6,2,3,5,7,4]=>[1,6,2,7,3,5,4]=>[4,2,1]
[3,5,7,4,2,1,6]=>[1,6,2,3,5,7,4]=>[1,6,2,7,3,5,4]=>[4,2,1]
[3,5,7,4,2,6,1]=>[1,2,6,3,5,7,4]=>[1,2,6,7,3,5,4]=>[4,2,1]
[3,5,7,4,6,1,2]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>[5,1,1]
[3,5,7,4,6,2,1]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>[5,1,1]
[3,5,7,6,1,2,4]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[5,2]
[3,5,7,6,1,4,2]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[5,2]
[3,5,7,6,2,1,4]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[5,2]
[3,5,7,6,2,4,1]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[5,2]
[3,5,7,6,4,1,2]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>[5,1,1]
[3,5,7,6,4,2,1]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>[5,1,1]
[3,6,1,2,4,5,7]=>[1,2,4,5,7,3,6]=>[1,2,7,4,5,3,6]=>[5,1,1]
[3,6,1,2,4,7,5]=>[1,2,4,7,3,6,5]=>[1,2,7,4,6,3,5]=>[4,2,1]
[3,6,1,2,5,4,7]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[5,2]
[3,6,1,2,5,7,4]=>[1,2,5,7,3,6,4]=>[1,2,7,6,5,3,4]=>[4,1,1,1]
[3,6,1,2,7,4,5]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[4,1,1,1]
[3,6,1,2,7,5,4]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[4,1,1,1]
[3,6,1,4,2,5,7]=>[1,4,2,5,7,3,6]=>[1,4,7,2,5,3,6]=>[4,2,1]
[3,6,1,4,2,7,5]=>[1,4,2,7,3,6,5]=>[1,4,7,2,6,3,5]=>[4,2,1]
[3,6,1,4,5,2,7]=>[1,4,5,2,7,3,6]=>[1,5,7,4,2,3,6]=>[4,2,1]
[3,6,1,4,5,7,2]=>[1,4,5,7,2,3,6]=>[1,7,2,4,5,3,6]=>[5,1,1]
[3,6,1,4,7,2,5]=>[1,4,7,2,5,3,6]=>[1,7,5,4,2,3,6]=>[4,1,1,1]
[3,6,1,4,7,5,2]=>[1,4,7,2,3,6,5]=>[1,7,2,4,6,3,5]=>[4,2,1]
[3,6,1,5,2,4,7]=>[1,5,2,4,7,3,6]=>[1,5,7,2,4,3,6]=>[4,2,1]
[3,6,1,5,2,7,4]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>[4,2,1]
[3,6,1,5,4,2,7]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>[4,2,1]
[3,6,1,5,4,7,2]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[5,2]
[3,6,1,5,7,2,4]=>[1,5,7,2,4,3,6]=>[1,7,4,2,5,3,6]=>[4,2,1]
[3,6,1,5,7,4,2]=>[1,5,7,2,3,6,4]=>[1,7,2,6,5,3,4]=>[4,1,1,1]
[3,6,1,7,2,4,5]=>[1,7,2,4,5,3,6]=>[1,7,5,2,4,3,6]=>[4,1,1,1]
[3,6,1,7,2,5,4]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>[4,2,1]
[3,6,1,7,4,2,5]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>[4,2,1]
[3,6,1,7,4,5,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[4,1,1,1]
[3,6,1,7,5,2,4]=>[1,7,2,4,3,6,5]=>[1,7,4,2,6,3,5]=>[4,2,1]
[3,6,1,7,5,4,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[4,1,1,1]
[3,6,2,1,4,5,7]=>[1,4,5,7,2,3,6]=>[1,7,2,4,5,3,6]=>[5,1,1]
[3,6,2,1,4,7,5]=>[1,4,7,2,3,6,5]=>[1,7,2,4,6,3,5]=>[4,2,1]
[3,6,2,1,5,4,7]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[5,2]
[3,6,2,1,5,7,4]=>[1,5,7,2,3,6,4]=>[1,7,2,6,5,3,4]=>[4,1,1,1]
[3,6,2,1,7,4,5]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[4,1,1,1]
[3,6,2,1,7,5,4]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[4,1,1,1]
[3,6,2,4,1,5,7]=>[1,5,7,2,4,3,6]=>[1,7,4,2,5,3,6]=>[4,2,1]
[3,6,2,4,1,7,5]=>[1,7,2,4,3,6,5]=>[1,7,4,2,6,3,5]=>[4,2,1]
[3,6,2,4,5,1,7]=>[1,7,2,4,5,3,6]=>[1,7,5,2,4,3,6]=>[4,1,1,1]
[3,6,2,4,5,7,1]=>[1,2,4,5,7,3,6]=>[1,2,7,4,5,3,6]=>[5,1,1]
[3,6,2,4,7,1,5]=>[1,5,2,4,7,3,6]=>[1,5,7,2,4,3,6]=>[4,2,1]
[3,6,2,4,7,5,1]=>[1,2,4,7,3,6,5]=>[1,2,7,4,6,3,5]=>[4,2,1]
[3,6,2,5,1,4,7]=>[1,4,7,2,5,3,6]=>[1,7,5,4,2,3,6]=>[4,1,1,1]
[3,6,2,5,1,7,4]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>[4,2,1]
[3,6,2,5,4,1,7]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>[4,2,1]
[3,6,2,5,4,7,1]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[5,2]
[3,6,2,5,7,1,4]=>[1,4,2,5,7,3,6]=>[1,4,7,2,5,3,6]=>[4,2,1]
[3,6,2,5,7,4,1]=>[1,2,5,7,3,6,4]=>[1,2,7,6,5,3,4]=>[4,1,1,1]
[3,6,2,7,1,4,5]=>[1,4,5,2,7,3,6]=>[1,5,7,4,2,3,6]=>[4,2,1]
[3,6,2,7,1,5,4]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>[4,2,1]
[3,6,2,7,4,1,5]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>[4,2,1]
[3,6,2,7,4,5,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[4,1,1,1]
[3,6,2,7,5,1,4]=>[1,4,2,7,3,6,5]=>[1,4,7,2,6,3,5]=>[4,2,1]
[3,6,2,7,5,4,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[4,1,1,1]
[3,6,4,1,2,5,7]=>[1,2,5,7,3,6,4]=>[1,2,7,6,5,3,4]=>[4,1,1,1]
[3,6,4,1,2,7,5]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[4,1,1,1]
[3,6,4,1,5,2,7]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>[4,2,1]
[3,6,4,1,5,7,2]=>[1,5,7,2,3,6,4]=>[1,7,2,6,5,3,4]=>[4,1,1,1]
[3,6,4,1,7,2,5]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>[4,2,1]
[3,6,4,1,7,5,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[4,1,1,1]
[3,6,4,2,1,5,7]=>[1,5,7,2,3,6,4]=>[1,7,2,6,5,3,4]=>[4,1,1,1]
[3,6,4,2,1,7,5]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[4,1,1,1]
[3,6,4,2,5,1,7]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>[4,2,1]
[3,6,4,2,5,7,1]=>[1,2,5,7,3,6,4]=>[1,2,7,6,5,3,4]=>[4,1,1,1]
[3,6,4,2,7,1,5]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>[4,2,1]
[3,6,4,2,7,5,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[4,1,1,1]
[3,6,4,5,1,2,7]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[4,1,1,1]
[3,6,4,5,1,7,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[4,1,1,1]
[3,6,4,5,2,1,7]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[4,1,1,1]
[3,6,4,5,2,7,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[4,1,1,1]
[3,6,4,5,7,1,2]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[6,1]
[3,6,4,5,7,2,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[6,1]
[3,6,4,7,1,2,5]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[5,2]
[3,6,4,7,1,5,2]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[5,2]
[3,6,4,7,2,1,5]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[5,2]
[3,6,4,7,2,5,1]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[5,2]
[3,6,4,7,5,1,2]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[5,2]
[3,6,4,7,5,2,1]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[5,2]
[3,6,5,1,2,4,7]=>[1,2,4,7,3,6,5]=>[1,2,7,4,6,3,5]=>[4,2,1]
[3,6,5,1,2,7,4]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[4,1,1,1]
[3,6,5,1,4,2,7]=>[1,4,2,7,3,6,5]=>[1,4,7,2,6,3,5]=>[4,2,1]
[3,6,5,1,4,7,2]=>[1,4,7,2,3,6,5]=>[1,7,2,4,6,3,5]=>[4,2,1]
[3,6,5,1,7,2,4]=>[1,7,2,4,3,6,5]=>[1,7,4,2,6,3,5]=>[4,2,1]
[3,6,5,1,7,4,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[4,1,1,1]
[3,6,5,2,1,4,7]=>[1,4,7,2,3,6,5]=>[1,7,2,4,6,3,5]=>[4,2,1]
[3,6,5,2,1,7,4]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[4,1,1,1]
[3,6,5,2,4,1,7]=>[1,7,2,4,3,6,5]=>[1,7,4,2,6,3,5]=>[4,2,1]
[3,6,5,2,4,7,1]=>[1,2,4,7,3,6,5]=>[1,2,7,4,6,3,5]=>[4,2,1]
[3,6,5,2,7,1,4]=>[1,4,2,7,3,6,5]=>[1,4,7,2,6,3,5]=>[4,2,1]
[3,6,5,2,7,4,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[4,1,1,1]
[3,6,5,4,1,2,7]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[4,1,1,1]
[3,6,5,4,1,7,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[4,1,1,1]
[3,6,5,4,2,1,7]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[4,1,1,1]
[3,6,5,4,2,7,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[4,1,1,1]
[3,6,5,4,7,1,2]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[5,2]
[3,6,5,4,7,2,1]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[5,2]
[3,6,5,7,1,2,4]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[5,2]
[3,6,5,7,1,4,2]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[5,2]
[3,6,5,7,2,1,4]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[5,2]
[3,6,5,7,2,4,1]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[5,2]
[3,6,5,7,4,1,2]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[6,1]
[3,6,5,7,4,2,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[6,1]
[3,6,7,1,2,4,5]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[5,1,1]
[3,6,7,1,2,5,4]=>[1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4]=>[4,2,1]
[3,6,7,1,4,2,5]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[5,2]
[3,6,7,1,4,5,2]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>[5,1,1]
[3,6,7,1,5,2,4]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>[5,1,1]
[3,6,7,1,5,4,2]=>[1,5,2,3,6,7,4]=>[1,5,2,7,3,6,4]=>[4,2,1]
[3,6,7,2,1,4,5]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>[5,1,1]
[3,6,7,2,1,5,4]=>[1,5,2,3,6,7,4]=>[1,5,2,7,3,6,4]=>[4,2,1]
[3,6,7,2,4,1,5]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>[5,1,1]
[3,6,7,2,4,5,1]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[5,1,1]
[3,6,7,2,5,1,4]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[5,2]
[3,6,7,2,5,4,1]=>[1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4]=>[4,2,1]
[3,6,7,4,1,2,5]=>[1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4]=>[4,2,1]
[3,6,7,4,1,5,2]=>[1,5,2,3,6,7,4]=>[1,5,2,7,3,6,4]=>[4,2,1]
[3,6,7,4,2,1,5]=>[1,5,2,3,6,7,4]=>[1,5,2,7,3,6,4]=>[4,2,1]
[3,6,7,4,2,5,1]=>[1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4]=>[4,2,1]
[3,6,7,4,5,1,2]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>[5,1,1]
[3,6,7,4,5,2,1]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>[5,1,1]
[3,6,7,5,1,2,4]=>[1,2,4,3,6,7,5]=>[1,2,4,3,7,6,5]=>[4,2,1]
[3,6,7,5,1,4,2]=>[1,4,2,3,6,7,5]=>[1,4,2,3,7,6,5]=>[4,2,1]
[3,6,7,5,2,1,4]=>[1,4,2,3,6,7,5]=>[1,4,2,3,7,6,5]=>[4,2,1]
[3,6,7,5,2,4,1]=>[1,2,4,3,6,7,5]=>[1,2,4,3,7,6,5]=>[4,2,1]
[3,6,7,5,4,1,2]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>[5,1,1]
[3,6,7,5,4,2,1]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>[5,1,1]
[3,7,1,2,4,5,6]=>[1,2,4,5,6,3,7]=>[1,2,6,4,5,3,7]=>[5,1,1]
[3,7,1,2,4,6,5]=>[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5]=>[4,2,1]
[3,7,1,2,5,4,6]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[5,2]
[3,7,1,2,5,6,4]=>[1,2,5,6,3,7,4]=>[1,2,6,7,5,3,4]=>[4,2,1]
[3,7,1,2,6,4,5]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[4,2,1]
[3,7,1,2,6,5,4]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[4,2,1]
[3,7,1,4,2,5,6]=>[1,4,2,5,6,3,7]=>[1,4,6,2,5,3,7]=>[4,2,1]
[3,7,1,4,2,6,5]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[4,3]
[3,7,1,4,5,2,6]=>[1,4,5,2,6,3,7]=>[1,5,6,4,2,3,7]=>[4,2,1]
[3,7,1,4,5,6,2]=>[1,4,5,6,2,3,7]=>[1,6,2,4,5,3,7]=>[5,1,1]
[3,7,1,4,6,2,5]=>[1,4,6,2,5,3,7]=>[1,6,5,4,2,3,7]=>[4,1,1,1]
[3,7,1,4,6,5,2]=>[1,4,6,2,3,7,5]=>[1,6,2,4,7,3,5]=>[4,2,1]
[3,7,1,5,2,4,6]=>[1,5,2,4,6,3,7]=>[1,5,6,2,4,3,7]=>[4,2,1]
[3,7,1,5,2,6,4]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[4,3]
[3,7,1,5,4,2,6]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[4,3]
[3,7,1,5,4,6,2]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[5,2]
[3,7,1,5,6,2,4]=>[1,5,6,2,4,3,7]=>[1,6,4,2,5,3,7]=>[4,2,1]
[3,7,1,5,6,4,2]=>[1,5,6,2,3,7,4]=>[1,6,2,7,5,3,4]=>[4,2,1]
[3,7,1,6,2,4,5]=>[1,6,2,4,5,3,7]=>[1,6,5,2,4,3,7]=>[4,1,1,1]
[3,7,1,6,2,5,4]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>[4,2,1]
[3,7,1,6,4,2,5]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>[4,2,1]
[3,7,1,6,4,5,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[4,2,1]
[3,7,1,6,5,2,4]=>[1,6,2,4,3,7,5]=>[1,6,4,2,7,3,5]=>[4,2,1]
[3,7,1,6,5,4,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[4,2,1]
[3,7,2,1,4,5,6]=>[1,4,5,6,2,3,7]=>[1,6,2,4,5,3,7]=>[5,1,1]
[3,7,2,1,4,6,5]=>[1,4,6,2,3,7,5]=>[1,6,2,4,7,3,5]=>[4,2,1]
[3,7,2,1,5,4,6]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[5,2]
[3,7,2,1,5,6,4]=>[1,5,6,2,3,7,4]=>[1,6,2,7,5,3,4]=>[4,2,1]
[3,7,2,1,6,4,5]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[4,2,1]
[3,7,2,1,6,5,4]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[4,2,1]
[3,7,2,4,1,5,6]=>[1,5,6,2,4,3,7]=>[1,6,4,2,5,3,7]=>[4,2,1]
[3,7,2,4,1,6,5]=>[1,6,2,4,3,7,5]=>[1,6,4,2,7,3,5]=>[4,2,1]
[3,7,2,4,5,1,6]=>[1,6,2,4,5,3,7]=>[1,6,5,2,4,3,7]=>[4,1,1,1]
[3,7,2,4,5,6,1]=>[1,2,4,5,6,3,7]=>[1,2,6,4,5,3,7]=>[5,1,1]
[3,7,2,4,6,1,5]=>[1,5,2,4,6,3,7]=>[1,5,6,2,4,3,7]=>[4,2,1]
[3,7,2,4,6,5,1]=>[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5]=>[4,2,1]
[3,7,2,5,1,4,6]=>[1,4,6,2,5,3,7]=>[1,6,5,4,2,3,7]=>[4,1,1,1]
[3,7,2,5,1,6,4]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>[4,2,1]
[3,7,2,5,4,1,6]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>[4,2,1]
[3,7,2,5,4,6,1]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[5,2]
[3,7,2,5,6,1,4]=>[1,4,2,5,6,3,7]=>[1,4,6,2,5,3,7]=>[4,2,1]
[3,7,2,5,6,4,1]=>[1,2,5,6,3,7,4]=>[1,2,6,7,5,3,4]=>[4,2,1]
[3,7,2,6,1,4,5]=>[1,4,5,2,6,3,7]=>[1,5,6,4,2,3,7]=>[4,2,1]
[3,7,2,6,1,5,4]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[4,3]
[3,7,2,6,4,1,5]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[4,3]
[3,7,2,6,4,5,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[4,2,1]
[3,7,2,6,5,1,4]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[4,3]
[3,7,2,6,5,4,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[4,2,1]
[3,7,4,1,2,5,6]=>[1,2,5,6,3,7,4]=>[1,2,6,7,5,3,4]=>[4,2,1]
[3,7,4,1,2,6,5]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[4,2,1]
[3,7,4,1,5,2,6]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[4,3]
[3,7,4,1,5,6,2]=>[1,5,6,2,3,7,4]=>[1,6,2,7,5,3,4]=>[4,2,1]
[3,7,4,1,6,2,5]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>[4,2,1]
[3,7,4,1,6,5,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[4,2,1]
[3,7,4,2,1,5,6]=>[1,5,6,2,3,7,4]=>[1,6,2,7,5,3,4]=>[4,2,1]
[3,7,4,2,1,6,5]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[4,2,1]
[3,7,4,2,5,1,6]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>[4,2,1]
[3,7,4,2,5,6,1]=>[1,2,5,6,3,7,4]=>[1,2,6,7,5,3,4]=>[4,2,1]
[3,7,4,2,6,1,5]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[4,3]
[3,7,4,2,6,5,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[4,2,1]
[3,7,4,5,1,2,6]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[4,2,1]
[3,7,4,5,1,6,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[4,2,1]
[3,7,4,5,2,1,6]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[4,2,1]
[3,7,4,5,2,6,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[4,2,1]
[3,7,4,5,6,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[6,1]
[3,7,4,5,6,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[6,1]
[3,7,4,6,1,2,5]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[5,2]
[3,7,4,6,1,5,2]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[5,2]
[3,7,4,6,2,1,5]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[5,2]
[3,7,4,6,2,5,1]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[5,2]
[3,7,4,6,5,1,2]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>[5,1,1]
[3,7,4,6,5,2,1]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>[5,1,1]
[3,7,5,1,2,4,6]=>[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5]=>[4,2,1]
[3,7,5,1,2,6,4]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[4,2,1]
[3,7,5,1,4,2,6]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[4,3]
[3,7,5,1,4,6,2]=>[1,4,6,2,3,7,5]=>[1,6,2,4,7,3,5]=>[4,2,1]
[3,7,5,1,6,2,4]=>[1,6,2,4,3,7,5]=>[1,6,4,2,7,3,5]=>[4,2,1]
[3,7,5,1,6,4,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[4,2,1]
[3,7,5,2,1,4,6]=>[1,4,6,2,3,7,5]=>[1,6,2,4,7,3,5]=>[4,2,1]
[3,7,5,2,1,6,4]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[4,2,1]
[3,7,5,2,4,1,6]=>[1,6,2,4,3,7,5]=>[1,6,4,2,7,3,5]=>[4,2,1]
[3,7,5,2,4,6,1]=>[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5]=>[4,2,1]
[3,7,5,2,6,1,4]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[4,3]
[3,7,5,2,6,4,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[4,2,1]
[3,7,5,4,1,2,6]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[4,2,1]
[3,7,5,4,1,6,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[4,2,1]
[3,7,5,4,2,1,6]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[4,2,1]
[3,7,5,4,2,6,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[4,2,1]
[3,7,5,4,6,1,2]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>[5,1,1]
[3,7,5,4,6,2,1]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>[5,1,1]
[3,7,5,6,1,2,4]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[5,2]
[3,7,5,6,1,4,2]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[5,2]
[3,7,5,6,2,1,4]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[5,2]
[3,7,5,6,2,4,1]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[5,2]
[3,7,5,6,4,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[6,1]
[3,7,5,6,4,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[6,1]
[3,7,6,1,2,4,5]=>[1,2,4,5,3,7,6]=>[1,2,5,4,3,7,6]=>[4,2,1]
[3,7,6,1,2,5,4]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[5,2]
[3,7,6,1,4,2,5]=>[1,4,2,5,3,7,6]=>[1,4,5,2,3,7,6]=>[4,3]
[3,7,6,1,4,5,2]=>[1,4,5,2,3,7,6]=>[1,5,2,4,3,7,6]=>[4,2,1]
[3,7,6,1,5,2,4]=>[1,5,2,4,3,7,6]=>[1,5,4,2,3,7,6]=>[4,2,1]
[3,7,6,1,5,4,2]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[5,2]
[3,7,6,2,1,4,5]=>[1,4,5,2,3,7,6]=>[1,5,2,4,3,7,6]=>[4,2,1]
[3,7,6,2,1,5,4]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[5,2]
[3,7,6,2,4,1,5]=>[1,5,2,4,3,7,6]=>[1,5,4,2,3,7,6]=>[4,2,1]
[3,7,6,2,4,5,1]=>[1,2,4,5,3,7,6]=>[1,2,5,4,3,7,6]=>[4,2,1]
[3,7,6,2,5,1,4]=>[1,4,2,5,3,7,6]=>[1,4,5,2,3,7,6]=>[4,3]
[3,7,6,2,5,4,1]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[5,2]
[3,7,6,4,1,2,5]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[5,2]
[3,7,6,4,1,5,2]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[5,2]
[3,7,6,4,2,1,5]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[5,2]
[3,7,6,4,2,5,1]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[5,2]
[3,7,6,4,5,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[6,1]
[3,7,6,4,5,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[6,1]
[3,7,6,5,1,2,4]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[5,2]
[3,7,6,5,1,4,2]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[5,2]
[3,7,6,5,2,1,4]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[5,2]
[3,7,6,5,2,4,1]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[5,2]
[3,7,6,5,4,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[6,1]
[3,7,6,5,4,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[6,1]
[4,1,2,3,5,6,7]=>[1,2,3,5,6,7,4]=>[1,2,3,7,5,6,4]=>[5,1,1]
[4,1,2,3,5,7,6]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>[5,1,1]
[4,1,2,3,6,5,7]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[6,1]
[4,1,2,3,6,7,5]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>[5,1,1]
[4,1,2,3,7,5,6]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[6,1]
[4,1,2,3,7,6,5]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[6,1]
[4,1,2,5,3,6,7]=>[1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4]=>[4,2,1]
[4,1,2,5,3,7,6]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[5,2]
[4,1,2,5,6,3,7]=>[1,2,5,6,3,7,4]=>[1,2,6,7,5,3,4]=>[4,2,1]
[4,1,2,5,6,7,3]=>[1,2,5,6,7,3,4]=>[1,2,7,3,5,6,4]=>[5,1,1]
[4,1,2,5,7,3,6]=>[1,2,5,7,3,6,4]=>[1,2,7,6,5,3,4]=>[4,1,1,1]
[4,1,2,5,7,6,3]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[5,1,1]
[4,1,2,6,3,5,7]=>[1,2,6,3,5,7,4]=>[1,2,6,7,3,5,4]=>[4,2,1]
[4,1,2,6,3,7,5]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[4,2,1]
[4,1,2,6,5,3,7]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[4,2,1]
[4,1,2,6,5,7,3]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[6,1]
[4,1,2,6,7,3,5]=>[1,2,6,7,3,5,4]=>[1,2,7,5,3,6,4]=>[4,2,1]
[4,1,2,6,7,5,3]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[5,1,1]
[4,1,2,7,3,5,6]=>[1,2,7,3,5,6,4]=>[1,2,7,6,3,5,4]=>[4,1,1,1]
[4,1,2,7,3,6,5]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[4,1,1,1]
[4,1,2,7,5,3,6]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[4,1,1,1]
[4,1,2,7,5,6,3]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[4,1,2,7,6,3,5]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[5,1,1]
[4,1,2,7,6,5,3]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[4,1,3,2,5,6,7]=>[1,3,2,5,6,7,4]=>[1,3,2,7,5,6,4]=>[4,2,1]
[4,1,3,2,5,7,6]=>[1,3,2,5,7,4,6]=>[1,3,2,7,5,4,6]=>[4,2,1]
[4,1,3,2,6,5,7]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[5,2]
[4,1,3,2,6,7,5]=>[1,3,2,6,7,4,5]=>[1,3,2,7,4,6,5]=>[4,2,1]
[4,1,3,2,7,5,6]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[5,2]
[4,1,3,2,7,6,5]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[5,2]
[4,1,3,5,2,6,7]=>[1,3,5,2,6,7,4]=>[1,5,3,7,2,6,4]=>[3,2,2]
[4,1,3,5,2,7,6]=>[1,3,5,2,7,4,6]=>[1,5,3,7,2,4,6]=>[4,2,1]
[4,1,3,5,6,2,7]=>[1,3,5,6,2,7,4]=>[1,6,3,7,5,2,4]=>[3,2,2]
[4,1,3,5,6,7,2]=>[1,3,5,6,7,2,4]=>[1,7,3,2,5,6,4]=>[4,2,1]
[4,1,3,5,7,2,6]=>[1,3,5,7,2,6,4]=>[1,7,3,6,5,2,4]=>[3,2,1,1]
[4,1,3,5,7,6,2]=>[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]=>[4,2,1]
[4,1,3,6,2,5,7]=>[1,3,6,2,5,7,4]=>[1,6,3,7,2,5,4]=>[3,2,2]
[4,1,3,6,2,7,5]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>[4,2,1]
[4,1,3,6,5,2,7]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>[4,2,1]
[4,1,3,6,5,7,2]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[5,1,1]
[4,1,3,6,7,2,5]=>[1,3,6,7,2,5,4]=>[1,7,3,5,2,6,4]=>[4,2,1]
[4,1,3,6,7,5,2]=>[1,3,6,7,2,4,5]=>[1,7,3,2,4,6,5]=>[4,2,1]
[4,1,3,7,2,5,6]=>[1,3,7,2,5,6,4]=>[1,7,3,6,2,5,4]=>[3,2,1,1]
[4,1,3,7,2,6,5]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>[4,1,1,1]
[4,1,3,7,5,2,6]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>[4,1,1,1]
[4,1,3,7,5,6,2]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[5,1,1]
[4,1,3,7,6,2,5]=>[1,3,7,2,5,4,6]=>[1,7,3,5,2,4,6]=>[4,2,1]
[4,1,3,7,6,5,2]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[5,1,1]
[4,1,5,2,3,6,7]=>[1,5,2,3,6,7,4]=>[1,5,2,7,3,6,4]=>[4,2,1]
[4,1,5,2,3,7,6]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[5,2]
[4,1,5,2,6,3,7]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[4,3]
[4,1,5,2,6,7,3]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>[3,2,2]
[4,1,5,2,7,3,6]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>[4,2,1]
[4,1,5,2,7,6,3]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[4,2,1]
[4,1,5,3,2,6,7]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>[3,2,2]
[4,1,5,3,2,7,6]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[4,2,1]
[4,1,5,3,6,2,7]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>[4,2,1]
[4,1,5,3,6,7,2]=>[1,5,2,3,6,7,4]=>[1,5,2,7,3,6,4]=>[4,2,1]
[4,1,5,3,7,2,6]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[4,3]
[4,1,5,3,7,6,2]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[5,2]
[4,1,5,6,2,3,7]=>[1,5,6,2,3,7,4]=>[1,6,2,7,5,3,4]=>[4,2,1]
[4,1,5,6,2,7,3]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>[3,2,2]
[4,1,5,6,3,2,7]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>[3,2,2]
[4,1,5,6,3,7,2]=>[1,5,6,2,3,7,4]=>[1,6,2,7,5,3,4]=>[4,2,1]
[4,1,5,6,7,2,3]=>[1,5,6,7,2,3,4]=>[1,7,2,3,5,6,4]=>[5,1,1]
[4,1,5,6,7,3,2]=>[1,5,6,7,2,3,4]=>[1,7,2,3,5,6,4]=>[5,1,1]
[4,1,5,7,2,3,6]=>[1,5,7,2,3,6,4]=>[1,7,2,6,5,3,4]=>[4,1,1,1]
[4,1,5,7,2,6,3]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>[3,2,1,1]
[4,1,5,7,3,2,6]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>[3,2,1,1]
[4,1,5,7,3,6,2]=>[1,5,7,2,3,6,4]=>[1,7,2,6,5,3,4]=>[4,1,1,1]
[4,1,5,7,6,2,3]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[5,1,1]
[4,1,5,7,6,3,2]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[5,1,1]
[4,1,6,2,3,5,7]=>[1,6,2,3,5,7,4]=>[1,6,2,7,3,5,4]=>[4,2,1]
[4,1,6,2,3,7,5]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[4,2,1]
[4,1,6,2,5,3,7]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>[4,2,1]
[4,1,6,2,5,7,3]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>[3,2,2]
[4,1,6,2,7,3,5]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>[3,2,1,1]
[4,1,6,2,7,5,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[4,1,6,3,2,5,7]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>[3,2,2]
[4,1,6,3,2,7,5]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[4,1,6,3,5,2,7]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>[3,2,1,1]
[4,1,6,3,5,7,2]=>[1,6,2,3,5,7,4]=>[1,6,2,7,3,5,4]=>[4,2,1]
[4,1,6,3,7,2,5]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>[4,2,1]
[4,1,6,3,7,5,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[4,2,1]
[4,1,6,5,2,3,7]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[4,2,1]
[4,1,6,5,2,7,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[4,1,6,5,3,2,7]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[4,1,6,5,3,7,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[4,2,1]
[4,1,6,5,7,2,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[4,1,6,5,7,3,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[4,1,6,7,2,3,5]=>[1,6,7,2,3,5,4]=>[1,7,2,5,3,6,4]=>[4,2,1]
[4,1,6,7,2,5,3]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>[3,2,1,1]
[4,1,6,7,3,2,5]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>[3,2,1,1]
[4,1,6,7,3,5,2]=>[1,6,7,2,3,5,4]=>[1,7,2,5,3,6,4]=>[4,2,1]
[4,1,6,7,5,2,3]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[5,1,1]
[4,1,6,7,5,3,2]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[5,1,1]
[4,1,7,2,3,5,6]=>[1,7,2,3,5,6,4]=>[1,7,2,6,3,5,4]=>[4,1,1,1]
[4,1,7,2,3,6,5]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[4,1,1,1]
[4,1,7,2,5,3,6]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>[4,2,1]
[4,1,7,2,5,6,3]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>[3,2,1,1]
[4,1,7,2,6,3,5]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>[3,1,1,1,1]
[4,1,7,2,6,5,3]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[4,1,7,3,2,5,6]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>[3,2,1,1]
[4,1,7,3,2,6,5]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[4,1,7,3,5,2,6]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>[3,1,1,1,1]
[4,1,7,3,5,6,2]=>[1,7,2,3,5,6,4]=>[1,7,2,6,3,5,4]=>[4,1,1,1]
[4,1,7,3,6,2,5]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>[4,2,1]
[4,1,7,3,6,5,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[4,1,1,1]
[4,1,7,5,2,3,6]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[4,1,1,1]
[4,1,7,5,2,6,3]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[4,1,7,5,3,2,6]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[4,1,7,5,3,6,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[4,1,1,1]
[4,1,7,5,6,2,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[4,1,7,5,6,3,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[4,1,7,6,2,3,5]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[5,1,1]
[4,1,7,6,2,5,3]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[4,1,1,1]
[4,1,7,6,3,2,5]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[4,1,1,1]
[4,1,7,6,3,5,2]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[5,1,1]
[4,1,7,6,5,2,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[4,1,7,6,5,3,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[4,2,1,3,5,6,7]=>[1,3,5,6,7,2,4]=>[1,7,3,2,5,6,4]=>[4,2,1]
[4,2,1,3,5,7,6]=>[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]=>[4,2,1]
[4,2,1,3,6,5,7]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[5,1,1]
[4,2,1,3,6,7,5]=>[1,3,6,7,2,4,5]=>[1,7,3,2,4,6,5]=>[4,2,1]
[4,2,1,3,7,5,6]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[5,1,1]
[4,2,1,3,7,6,5]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[5,1,1]
[4,2,1,5,3,6,7]=>[1,5,2,3,6,7,4]=>[1,5,2,7,3,6,4]=>[4,2,1]
[4,2,1,5,3,7,6]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[5,2]
[4,2,1,5,6,3,7]=>[1,5,6,2,3,7,4]=>[1,6,2,7,5,3,4]=>[4,2,1]
[4,2,1,5,6,7,3]=>[1,5,6,7,2,3,4]=>[1,7,2,3,5,6,4]=>[5,1,1]
[4,2,1,5,7,3,6]=>[1,5,7,2,3,6,4]=>[1,7,2,6,5,3,4]=>[4,1,1,1]
[4,2,1,5,7,6,3]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[5,1,1]
[4,2,1,6,3,5,7]=>[1,6,2,3,5,7,4]=>[1,6,2,7,3,5,4]=>[4,2,1]
[4,2,1,6,3,7,5]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[4,2,1]
[4,2,1,6,5,3,7]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[4,2,1]
[4,2,1,6,5,7,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[4,2,1,6,7,3,5]=>[1,6,7,2,3,5,4]=>[1,7,2,5,3,6,4]=>[4,2,1]
[4,2,1,6,7,5,3]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[5,1,1]
[4,2,1,7,3,5,6]=>[1,7,2,3,5,6,4]=>[1,7,2,6,3,5,4]=>[4,1,1,1]
[4,2,1,7,3,6,5]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[4,1,1,1]
[4,2,1,7,5,3,6]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[4,1,1,1]
[4,2,1,7,5,6,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[4,2,1,7,6,3,5]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[5,1,1]
[4,2,1,7,6,5,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[4,2,3,1,5,6,7]=>[1,5,6,7,2,3,4]=>[1,7,2,3,5,6,4]=>[5,1,1]
[4,2,3,1,5,7,6]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[5,1,1]
[4,2,3,1,6,5,7]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[4,2,3,1,6,7,5]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[5,1,1]
[4,2,3,1,7,5,6]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[4,2,3,1,7,6,5]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[4,2,3,5,1,6,7]=>[1,6,7,2,3,5,4]=>[1,7,2,5,3,6,4]=>[4,2,1]
[4,2,3,5,1,7,6]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[5,1,1]
[4,2,3,5,6,1,7]=>[1,7,2,3,5,6,4]=>[1,7,2,6,3,5,4]=>[4,1,1,1]
[4,2,3,5,6,7,1]=>[1,2,3,5,6,7,4]=>[1,2,3,7,5,6,4]=>[5,1,1]
[4,2,3,5,7,1,6]=>[1,6,2,3,5,7,4]=>[1,6,2,7,3,5,4]=>[4,2,1]
[4,2,3,5,7,6,1]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>[5,1,1]
[4,2,3,6,1,5,7]=>[1,5,7,2,3,6,4]=>[1,7,2,6,5,3,4]=>[4,1,1,1]
[4,2,3,6,1,7,5]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[4,1,1,1]
[4,2,3,6,5,1,7]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[4,1,1,1]
[4,2,3,6,5,7,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[6,1]
[4,2,3,6,7,1,5]=>[1,5,2,3,6,7,4]=>[1,5,2,7,3,6,4]=>[4,2,1]
[4,2,3,6,7,5,1]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>[5,1,1]
[4,2,3,7,1,5,6]=>[1,5,6,2,3,7,4]=>[1,6,2,7,5,3,4]=>[4,2,1]
[4,2,3,7,1,6,5]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[4,2,1]
[4,2,3,7,5,1,6]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[4,2,1]
[4,2,3,7,5,6,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[6,1]
[4,2,3,7,6,1,5]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[5,2]
[4,2,3,7,6,5,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[6,1]
[4,2,5,1,3,6,7]=>[1,3,6,7,2,5,4]=>[1,7,3,5,2,6,4]=>[4,2,1]
[4,2,5,1,3,7,6]=>[1,3,7,2,5,4,6]=>[1,7,3,5,2,4,6]=>[4,2,1]
[4,2,5,1,6,3,7]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>[4,2,1]
[4,2,5,1,6,7,3]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>[3,2,1,1]
[4,2,5,1,7,3,6]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>[4,2,1]
[4,2,5,1,7,6,3]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[4,1,1,1]
[4,2,5,3,1,6,7]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>[3,2,1,1]
[4,2,5,3,1,7,6]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[4,1,1,1]
[4,2,5,3,6,1,7]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>[4,2,1]
[4,2,5,3,6,7,1]=>[1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4]=>[4,2,1]
[4,2,5,3,7,1,6]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>[4,2,1]
[4,2,5,3,7,6,1]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[5,2]
[4,2,5,6,1,3,7]=>[1,3,7,2,5,6,4]=>[1,7,3,6,2,5,4]=>[3,2,1,1]
[4,2,5,6,1,7,3]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>[3,2,1,1]
[4,2,5,6,3,1,7]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>[3,2,1,1]
[4,2,5,6,3,7,1]=>[1,2,5,6,3,7,4]=>[1,2,6,7,5,3,4]=>[4,2,1]
[4,2,5,6,7,1,3]=>[1,3,2,5,6,7,4]=>[1,3,2,7,5,6,4]=>[4,2,1]
[4,2,5,6,7,3,1]=>[1,2,5,6,7,3,4]=>[1,2,7,3,5,6,4]=>[5,1,1]
[4,2,5,7,1,3,6]=>[1,3,6,2,5,7,4]=>[1,6,3,7,2,5,4]=>[3,2,2]
[4,2,5,7,1,6,3]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>[3,2,2]
[4,2,5,7,3,1,6]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>[3,2,2]
[4,2,5,7,3,6,1]=>[1,2,5,7,3,6,4]=>[1,2,7,6,5,3,4]=>[4,1,1,1]
[4,2,5,7,6,1,3]=>[1,3,2,5,7,4,6]=>[1,3,2,7,5,4,6]=>[4,2,1]
[4,2,5,7,6,3,1]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[5,1,1]
[4,2,6,1,3,5,7]=>[1,3,5,7,2,6,4]=>[1,7,3,6,5,2,4]=>[3,2,1,1]
[4,2,6,1,3,7,5]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>[4,1,1,1]
[4,2,6,1,5,3,7]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[4,3]
[4,2,6,1,5,7,3]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>[3,2,1,1]
[4,2,6,1,7,3,5]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>[3,1,1,1,1]
[4,2,6,1,7,5,3]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[4,2,6,3,1,5,7]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>[3,2,1,1]
[4,2,6,3,1,7,5]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[4,2,6,3,5,1,7]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>[3,1,1,1,1]
[4,2,6,3,5,7,1]=>[1,2,6,3,5,7,4]=>[1,2,6,7,3,5,4]=>[4,2,1]
[4,2,6,3,7,1,5]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[4,3]
[4,2,6,3,7,5,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[4,2,1]
[4,2,6,5,1,3,7]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>[4,1,1,1]
[4,2,6,5,1,7,3]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[4,2,6,5,3,1,7]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[4,2,6,5,3,7,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[4,2,1]
[4,2,6,5,7,1,3]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[5,2]
[4,2,6,5,7,3,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[6,1]
[4,2,6,7,1,3,5]=>[1,3,5,2,6,7,4]=>[1,5,3,7,2,6,4]=>[3,2,2]
[4,2,6,7,1,5,3]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>[3,2,2]
[4,2,6,7,3,1,5]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>[3,2,2]
[4,2,6,7,3,5,1]=>[1,2,6,7,3,5,4]=>[1,2,7,5,3,6,4]=>[4,2,1]
[4,2,6,7,5,1,3]=>[1,3,2,6,7,4,5]=>[1,3,2,7,4,6,5]=>[4,2,1]
[4,2,6,7,5,3,1]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[5,1,1]
[4,2,7,1,3,5,6]=>[1,3,5,6,2,7,4]=>[1,6,3,7,5,2,4]=>[3,2,2]
[4,2,7,1,3,6,5]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>[4,2,1]
[4,2,7,1,5,3,6]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>[4,2,1]
[4,2,7,1,5,6,3]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>[3,2,2]
[4,2,7,1,6,3,5]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>[3,2,1,1]
[4,2,7,1,6,5,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[4,2,7,3,1,5,6]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>[3,2,2]
[4,2,7,3,1,6,5]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[4,2,7,3,5,1,6]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>[3,2,1,1]
[4,2,7,3,5,6,1]=>[1,2,7,3,5,6,4]=>[1,2,7,6,3,5,4]=>[4,1,1,1]
[4,2,7,3,6,1,5]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>[4,2,1]
[4,2,7,3,6,5,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[4,1,1,1]
[4,2,7,5,1,3,6]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>[4,2,1]
[4,2,7,5,1,6,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[4,2,7,5,3,1,6]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[4,2,7,5,3,6,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[4,1,1,1]
[4,2,7,5,6,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[5,2]
[4,2,7,5,6,3,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[4,2,7,6,1,3,5]=>[1,3,5,2,7,4,6]=>[1,5,3,7,2,4,6]=>[4,2,1]
[4,2,7,6,1,5,3]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[4,2,1]
[4,2,7,6,3,1,5]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[4,2,1]
[4,2,7,6,3,5,1]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[5,1,1]
[4,2,7,6,5,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[5,2]
[4,2,7,6,5,3,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[4,3,1,2,5,6,7]=>[1,2,5,6,7,3,4]=>[1,2,7,3,5,6,4]=>[5,1,1]
[4,3,1,2,5,7,6]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[5,1,1]
[4,3,1,2,6,5,7]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[6,1]
[4,3,1,2,6,7,5]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[5,1,1]
[4,3,1,2,7,5,6]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[4,3,1,2,7,6,5]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[4,3,1,5,2,6,7]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>[3,2,2]
[4,3,1,5,2,7,6]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[4,2,1]
[4,3,1,5,6,2,7]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>[3,2,2]
[4,3,1,5,6,7,2]=>[1,5,6,7,2,3,4]=>[1,7,2,3,5,6,4]=>[5,1,1]
[4,3,1,5,7,2,6]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>[3,2,1,1]
[4,3,1,5,7,6,2]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[5,1,1]
[4,3,1,6,2,5,7]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>[3,2,2]
[4,3,1,6,2,7,5]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[4,3,1,6,5,2,7]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[4,3,1,6,5,7,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[4,3,1,6,7,2,5]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>[3,2,1,1]
[4,3,1,6,7,5,2]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[5,1,1]
[4,3,1,7,2,5,6]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>[3,2,1,1]
[4,3,1,7,2,6,5]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[4,3,1,7,5,2,6]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[4,3,1,7,5,6,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[4,3,1,7,6,2,5]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[4,1,1,1]
[4,3,1,7,6,5,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[4,3,2,1,5,6,7]=>[1,5,6,7,2,3,4]=>[1,7,2,3,5,6,4]=>[5,1,1]
[4,3,2,1,5,7,6]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[5,1,1]
[4,3,2,1,6,5,7]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[4,3,2,1,6,7,5]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[5,1,1]
[4,3,2,1,7,5,6]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[4,3,2,1,7,6,5]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[4,3,2,5,1,6,7]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>[3,2,1,1]
[4,3,2,5,1,7,6]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[4,1,1,1]
[4,3,2,5,6,1,7]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>[3,2,1,1]
[4,3,2,5,6,7,1]=>[1,2,5,6,7,3,4]=>[1,2,7,3,5,6,4]=>[5,1,1]
[4,3,2,5,7,1,6]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>[3,2,2]
[4,3,2,5,7,6,1]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[5,1,1]
[4,3,2,6,1,5,7]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>[3,2,1,1]
[4,3,2,6,1,7,5]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[4,3,2,6,5,1,7]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[4,3,2,6,5,7,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[6,1]
[4,3,2,6,7,1,5]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>[3,2,2]
[4,3,2,6,7,5,1]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[5,1,1]
[4,3,2,7,1,5,6]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>[3,2,2]
[4,3,2,7,1,6,5]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[4,3,2,7,5,1,6]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[4,3,2,7,5,6,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[4,3,2,7,6,1,5]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[4,2,1]
[4,3,2,7,6,5,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[4,3,5,1,2,6,7]=>[1,2,6,7,3,5,4]=>[1,2,7,5,3,6,4]=>[4,2,1]
[4,3,5,1,2,7,6]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[5,1,1]
[4,3,5,1,6,2,7]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>[3,2,1,1]
[4,3,5,1,6,7,2]=>[1,6,7,2,3,5,4]=>[1,7,2,5,3,6,4]=>[4,2,1]
[4,3,5,1,7,2,6]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>[3,1,1,1,1]
[4,3,5,1,7,6,2]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[5,1,1]
[4,3,5,2,1,6,7]=>[1,6,7,2,3,5,4]=>[1,7,2,5,3,6,4]=>[4,2,1]
[4,3,5,2,1,7,6]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[5,1,1]
[4,3,5,2,6,1,7]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>[3,1,1,1,1]
[4,3,5,2,6,7,1]=>[1,2,6,7,3,5,4]=>[1,2,7,5,3,6,4]=>[4,2,1]
[4,3,5,2,7,1,6]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>[3,2,1,1]
[4,3,5,2,7,6,1]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[5,1,1]
[4,3,5,6,1,2,7]=>[1,2,7,3,5,6,4]=>[1,2,7,6,3,5,4]=>[4,1,1,1]
[4,3,5,6,1,7,2]=>[1,7,2,3,5,6,4]=>[1,7,2,6,3,5,4]=>[4,1,1,1]
[4,3,5,6,2,1,7]=>[1,7,2,3,5,6,4]=>[1,7,2,6,3,5,4]=>[4,1,1,1]
[4,3,5,6,2,7,1]=>[1,2,7,3,5,6,4]=>[1,2,7,6,3,5,4]=>[4,1,1,1]
[4,3,5,6,7,1,2]=>[1,2,3,5,6,7,4]=>[1,2,3,7,5,6,4]=>[5,1,1]
[4,3,5,6,7,2,1]=>[1,2,3,5,6,7,4]=>[1,2,3,7,5,6,4]=>[5,1,1]
[4,3,5,7,1,2,6]=>[1,2,6,3,5,7,4]=>[1,2,6,7,3,5,4]=>[4,2,1]
[4,3,5,7,1,6,2]=>[1,6,2,3,5,7,4]=>[1,6,2,7,3,5,4]=>[4,2,1]
[4,3,5,7,2,1,6]=>[1,6,2,3,5,7,4]=>[1,6,2,7,3,5,4]=>[4,2,1]
[4,3,5,7,2,6,1]=>[1,2,6,3,5,7,4]=>[1,2,6,7,3,5,4]=>[4,2,1]
[4,3,5,7,6,1,2]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>[5,1,1]
[4,3,5,7,6,2,1]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>[5,1,1]
[4,3,6,1,2,5,7]=>[1,2,5,7,3,6,4]=>[1,2,7,6,5,3,4]=>[4,1,1,1]
[4,3,6,1,2,7,5]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[4,1,1,1]
[4,3,6,1,5,2,7]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>[4,2,1]
[4,3,6,1,5,7,2]=>[1,5,7,2,3,6,4]=>[1,7,2,6,5,3,4]=>[4,1,1,1]
[4,3,6,1,7,2,5]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>[4,2,1]
[4,3,6,1,7,5,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[4,1,1,1]
[4,3,6,2,1,5,7]=>[1,5,7,2,3,6,4]=>[1,7,2,6,5,3,4]=>[4,1,1,1]
[4,3,6,2,1,7,5]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[4,1,1,1]
[4,3,6,2,5,1,7]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>[4,2,1]
[4,3,6,2,5,7,1]=>[1,2,5,7,3,6,4]=>[1,2,7,6,5,3,4]=>[4,1,1,1]
[4,3,6,2,7,1,5]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>[4,2,1]
[4,3,6,2,7,5,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[4,1,1,1]
[4,3,6,5,1,2,7]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[4,1,1,1]
[4,3,6,5,1,7,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[4,1,1,1]
[4,3,6,5,2,1,7]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[4,1,1,1]
[4,3,6,5,2,7,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[4,1,1,1]
[4,3,6,5,7,1,2]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[6,1]
[4,3,6,5,7,2,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[6,1]
[4,3,6,7,1,2,5]=>[1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4]=>[4,2,1]
[4,3,6,7,1,5,2]=>[1,5,2,3,6,7,4]=>[1,5,2,7,3,6,4]=>[4,2,1]
[4,3,6,7,2,1,5]=>[1,5,2,3,6,7,4]=>[1,5,2,7,3,6,4]=>[4,2,1]
[4,3,6,7,2,5,1]=>[1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4]=>[4,2,1]
[4,3,6,7,5,1,2]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>[5,1,1]
[4,3,6,7,5,2,1]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>[5,1,1]
[4,3,7,1,2,5,6]=>[1,2,5,6,3,7,4]=>[1,2,6,7,5,3,4]=>[4,2,1]
[4,3,7,1,2,6,5]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[4,2,1]
[4,3,7,1,5,2,6]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[4,3]
[4,3,7,1,5,6,2]=>[1,5,6,2,3,7,4]=>[1,6,2,7,5,3,4]=>[4,2,1]
[4,3,7,1,6,2,5]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>[4,2,1]
[4,3,7,1,6,5,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[4,2,1]
[4,3,7,2,1,5,6]=>[1,5,6,2,3,7,4]=>[1,6,2,7,5,3,4]=>[4,2,1]
[4,3,7,2,1,6,5]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[4,2,1]
[4,3,7,2,5,1,6]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>[4,2,1]
[4,3,7,2,5,6,1]=>[1,2,5,6,3,7,4]=>[1,2,6,7,5,3,4]=>[4,2,1]
[4,3,7,2,6,1,5]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[4,3]
[4,3,7,2,6,5,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[4,2,1]
[4,3,7,5,1,2,6]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[4,2,1]
[4,3,7,5,1,6,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[4,2,1]
[4,3,7,5,2,1,6]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[4,2,1]
[4,3,7,5,2,6,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[4,2,1]
[4,3,7,5,6,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[6,1]
[4,3,7,5,6,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[6,1]
[4,3,7,6,1,2,5]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[5,2]
[4,3,7,6,1,5,2]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[5,2]
[4,3,7,6,2,1,5]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[5,2]
[4,3,7,6,2,5,1]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[5,2]
[4,3,7,6,5,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[6,1]
[4,3,7,6,5,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[6,1]
[4,5,1,2,3,6,7]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>[5,1,1]
[4,5,1,2,3,7,6]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[6,1]
[4,5,1,2,6,3,7]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[4,2,1]
[4,5,1,2,6,7,3]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[5,1,1]
[4,5,1,2,7,3,6]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[4,1,1,1]
[4,5,1,2,7,6,3]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[4,5,1,3,2,6,7]=>[1,3,2,6,7,4,5]=>[1,3,2,7,4,6,5]=>[4,2,1]
[4,5,1,3,2,7,6]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[5,2]
[4,5,1,3,6,2,7]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>[4,2,1]
[4,5,1,3,6,7,2]=>[1,3,6,7,2,4,5]=>[1,7,3,2,4,6,5]=>[4,2,1]
[4,5,1,3,7,2,6]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>[4,1,1,1]
[4,5,1,3,7,6,2]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[5,1,1]
[4,5,1,6,2,3,7]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[4,2,1]
[4,5,1,6,2,7,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[4,5,1,6,3,2,7]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[4,5,1,6,3,7,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[4,2,1]
[4,5,1,6,7,2,3]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[5,1,1]
[4,5,1,6,7,3,2]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[5,1,1]
[4,5,1,7,2,3,6]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[4,1,1,1]
[4,5,1,7,2,6,3]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[4,5,1,7,3,2,6]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[4,5,1,7,3,6,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[4,1,1,1]
[4,5,1,7,6,2,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[4,5,1,7,6,3,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[4,5,2,1,3,6,7]=>[1,3,6,7,2,4,5]=>[1,7,3,2,4,6,5]=>[4,2,1]
[4,5,2,1,3,7,6]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[5,1,1]
[4,5,2,1,6,3,7]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[4,2,1]
[4,5,2,1,6,7,3]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[5,1,1]
[4,5,2,1,7,3,6]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[4,1,1,1]
[4,5,2,1,7,6,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[4,5,2,3,1,6,7]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[5,1,1]
[4,5,2,3,1,7,6]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[4,5,2,3,6,1,7]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[4,1,1,1]
[4,5,2,3,6,7,1]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>[5,1,1]
[4,5,2,3,7,1,6]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[4,2,1]
[4,5,2,3,7,6,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[6,1]
[4,5,2,6,1,3,7]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>[4,1,1,1]
[4,5,2,6,1,7,3]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[4,5,2,6,3,1,7]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[4,5,2,6,3,7,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[4,2,1]
[4,5,2,6,7,1,3]=>[1,3,2,6,7,4,5]=>[1,3,2,7,4,6,5]=>[4,2,1]
[4,5,2,6,7,3,1]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[5,1,1]
[4,5,2,7,1,3,6]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>[4,2,1]
[4,5,2,7,1,6,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[4,5,2,7,3,1,6]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[4,5,2,7,3,6,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[4,1,1,1]
[4,5,2,7,6,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[5,2]
[4,5,2,7,6,3,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[4,5,3,1,2,6,7]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[5,1,1]
[4,5,3,1,2,7,6]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[4,5,3,1,6,2,7]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[4,5,3,1,6,7,2]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[5,1,1]
[4,5,3,1,7,2,6]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[4,5,3,1,7,6,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[4,5,3,2,1,6,7]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[5,1,1]
[4,5,3,2,1,7,6]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[4,5,3,2,6,1,7]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[4,5,3,2,6,7,1]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[5,1,1]
[4,5,3,2,7,1,6]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[4,5,3,2,7,6,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[4,5,3,6,1,2,7]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[4,1,1,1]
[4,5,3,6,1,7,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[4,1,1,1]
[4,5,3,6,2,1,7]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[4,1,1,1]
[4,5,3,6,2,7,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[4,1,1,1]
[4,5,3,6,7,1,2]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>[5,1,1]
[4,5,3,6,7,2,1]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>[5,1,1]
[4,5,3,7,1,2,6]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[4,2,1]
[4,5,3,7,1,6,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[4,2,1]
[4,5,3,7,2,1,6]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[4,2,1]
[4,5,3,7,2,6,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[4,2,1]
[4,5,3,7,6,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[6,1]
[4,5,3,7,6,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[6,1]
[4,5,6,1,2,3,7]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[6,1]
[4,5,6,1,2,7,3]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[4,5,6,1,3,2,7]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[5,2]
[4,5,6,1,3,7,2]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[5,1,1]
[4,5,6,1,7,2,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[4,5,6,1,7,3,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[4,5,6,2,1,3,7]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[5,1,1]
[4,5,6,2,1,7,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[4,5,6,2,3,1,7]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[4,5,6,2,3,7,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[6,1]
[4,5,6,2,7,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[5,2]
[4,5,6,2,7,3,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[4,5,6,3,1,2,7]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[4,5,6,3,1,7,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[4,5,6,3,2,1,7]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[4,5,6,3,2,7,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[4,5,6,3,7,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[6,1]
[4,5,6,3,7,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[6,1]
[4,5,6,7,1,2,3]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7]
[4,5,6,7,1,3,2]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[6,1]
[4,5,6,7,2,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[6,1]
[4,5,6,7,2,3,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7]
[4,5,6,7,3,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7]
[4,5,6,7,3,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7]
[4,5,7,1,2,3,6]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[6,1]
[4,5,7,1,2,6,3]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[6,1]
[4,5,7,1,3,2,6]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[5,2]
[4,5,7,1,3,6,2]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[5,1,1]
[4,5,7,1,6,2,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[4,5,7,1,6,3,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[4,5,7,2,1,3,6]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[5,1,1]
[4,5,7,2,1,6,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[4,5,7,2,3,1,6]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[4,5,7,2,3,6,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[6,1]
[4,5,7,2,6,1,3]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[5,2]
[4,5,7,2,6,3,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[6,1]
[4,5,7,3,1,2,6]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[6,1]
[4,5,7,3,1,6,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[4,5,7,3,2,1,6]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[4,5,7,3,2,6,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[6,1]
[4,5,7,3,6,1,2]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[6,1]
[4,5,7,3,6,2,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[6,1]
[4,5,7,6,1,2,3]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[6,1]
[4,5,7,6,1,3,2]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[5,2]
[4,5,7,6,2,1,3]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[5,2]
[4,5,7,6,2,3,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[6,1]
[4,5,7,6,3,1,2]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[6,1]
[4,5,7,6,3,2,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[6,1]
[4,6,1,2,3,5,7]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>[5,1,1]
[4,6,1,2,3,7,5]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>[5,1,1]
[4,6,1,2,5,3,7]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[5,2]
[4,6,1,2,5,7,3]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[5,1,1]
[4,6,1,2,7,3,5]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[5,1,1]
[4,6,1,2,7,5,3]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[5,1,1]
[4,6,1,3,2,5,7]=>[1,3,2,5,7,4,6]=>[1,3,2,7,5,4,6]=>[4,2,1]
[4,6,1,3,2,7,5]=>[1,3,2,7,4,6,5]=>[1,3,2,7,6,4,5]=>[4,2,1]
[4,6,1,3,5,2,7]=>[1,3,5,2,7,4,6]=>[1,5,3,7,2,4,6]=>[4,2,1]
[4,6,1,3,5,7,2]=>[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]=>[4,2,1]
[4,6,1,3,7,2,5]=>[1,3,7,2,5,4,6]=>[1,7,3,5,2,4,6]=>[4,2,1]
[4,6,1,3,7,5,2]=>[1,3,7,2,4,6,5]=>[1,7,3,2,6,4,5]=>[4,2,1]
[4,6,1,5,2,3,7]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[5,2]
[4,6,1,5,2,7,3]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[4,2,1]
[4,6,1,5,3,2,7]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[4,2,1]
[4,6,1,5,3,7,2]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[5,2]
[4,6,1,5,7,2,3]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[5,1,1]
[4,6,1,5,7,3,2]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[5,1,1]
[4,6,1,7,2,3,5]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[5,1,1]
[4,6,1,7,2,5,3]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[4,1,1,1]
[4,6,1,7,3,2,5]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[4,1,1,1]
[4,6,1,7,3,5,2]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[5,1,1]
[4,6,1,7,5,2,3]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[5,1,1]
[4,6,1,7,5,3,2]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[5,1,1]
[4,6,2,1,3,5,7]=>[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]=>[4,2,1]
[4,6,2,1,3,7,5]=>[1,3,7,2,4,6,5]=>[1,7,3,2,6,4,5]=>[4,2,1]
[4,6,2,1,5,3,7]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[5,2]
[4,6,2,1,5,7,3]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[5,1,1]
[4,6,2,1,7,3,5]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[5,1,1]
[4,6,2,1,7,5,3]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[5,1,1]
[4,6,2,3,1,5,7]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[5,1,1]
[4,6,2,3,1,7,5]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[5,1,1]
[4,6,2,3,5,1,7]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[5,1,1]
[4,6,2,3,5,7,1]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>[5,1,1]
[4,6,2,3,7,1,5]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[5,2]
[4,6,2,3,7,5,1]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>[5,1,1]
[4,6,2,5,1,3,7]=>[1,3,7,2,5,4,6]=>[1,7,3,5,2,4,6]=>[4,2,1]
[4,6,2,5,1,7,3]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[4,1,1,1]
[4,6,2,5,3,1,7]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[4,1,1,1]
[4,6,2,5,3,7,1]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[5,2]
[4,6,2,5,7,1,3]=>[1,3,2,5,7,4,6]=>[1,3,2,7,5,4,6]=>[4,2,1]
[4,6,2,5,7,3,1]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[5,1,1]
[4,6,2,7,1,3,5]=>[1,3,5,2,7,4,6]=>[1,5,3,7,2,4,6]=>[4,2,1]
[4,6,2,7,1,5,3]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[4,2,1]
[4,6,2,7,3,1,5]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[4,2,1]
[4,6,2,7,3,5,1]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[5,1,1]
[4,6,2,7,5,1,3]=>[1,3,2,7,4,6,5]=>[1,3,2,7,6,4,5]=>[4,2,1]
[4,6,2,7,5,3,1]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[5,1,1]
[4,6,3,1,2,5,7]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[5,1,1]
[4,6,3,1,2,7,5]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[5,1,1]
[4,6,3,1,5,2,7]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[4,2,1]
[4,6,3,1,5,7,2]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[5,1,1]
[4,6,3,1,7,2,5]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[4,1,1,1]
[4,6,3,1,7,5,2]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[5,1,1]
[4,6,3,2,1,5,7]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[5,1,1]
[4,6,3,2,1,7,5]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[5,1,1]
[4,6,3,2,5,1,7]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[4,1,1,1]
[4,6,3,2,5,7,1]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[5,1,1]
[4,6,3,2,7,1,5]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[4,2,1]
[4,6,3,2,7,5,1]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[5,1,1]
[4,6,3,5,1,2,7]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[5,1,1]
[4,6,3,5,1,7,2]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[5,1,1]
[4,6,3,5,2,1,7]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[5,1,1]
[4,6,3,5,2,7,1]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[5,1,1]
[4,6,3,5,7,1,2]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>[5,1,1]
[4,6,3,5,7,2,1]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>[5,1,1]
[4,6,3,7,1,2,5]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[5,2]
[4,6,3,7,1,5,2]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[5,2]
[4,6,3,7,2,1,5]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[5,2]
[4,6,3,7,2,5,1]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[5,2]
[4,6,3,7,5,1,2]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>[5,1,1]
[4,6,3,7,5,2,1]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>[5,1,1]
[4,6,5,1,2,3,7]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>[5,1,1]
[4,6,5,1,2,7,3]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[5,1,1]
[4,6,5,1,3,2,7]=>[1,3,2,7,4,6,5]=>[1,3,2,7,6,4,5]=>[4,2,1]
[4,6,5,1,3,7,2]=>[1,3,7,2,4,6,5]=>[1,7,3,2,6,4,5]=>[4,2,1]
[4,6,5,1,7,2,3]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[5,1,1]
[4,6,5,1,7,3,2]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[5,1,1]
[4,6,5,2,1,3,7]=>[1,3,7,2,4,6,5]=>[1,7,3,2,6,4,5]=>[4,2,1]
[4,6,5,2,1,7,3]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[5,1,1]
[4,6,5,2,3,1,7]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[5,1,1]
[4,6,5,2,3,7,1]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>[5,1,1]
[4,6,5,2,7,1,3]=>[1,3,2,7,4,6,5]=>[1,3,2,7,6,4,5]=>[4,2,1]
[4,6,5,2,7,3,1]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[5,1,1]
[4,6,5,3,1,2,7]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[5,1,1]
[4,6,5,3,1,7,2]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[5,1,1]
[4,6,5,3,2,1,7]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[5,1,1]
[4,6,5,3,2,7,1]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[5,1,1]
[4,6,5,3,7,1,2]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>[5,1,1]
[4,6,5,3,7,2,1]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>[5,1,1]
[4,6,5,7,1,2,3]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[6,1]
[4,6,5,7,1,3,2]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[5,2]
[4,6,5,7,2,1,3]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[5,2]
[4,6,5,7,2,3,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[6,1]
[4,6,5,7,3,1,2]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[6,1]
[4,6,5,7,3,2,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[6,1]
[4,6,7,1,2,3,5]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[6,1]
[4,6,7,1,2,5,3]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[6,1]
[4,6,7,1,3,2,5]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[5,2]
[4,6,7,1,3,5,2]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>[5,1,1]
[4,6,7,1,5,2,3]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[6,1]
[4,6,7,1,5,3,2]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[6,1]
[4,6,7,2,1,3,5]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>[5,1,1]
[4,6,7,2,1,5,3]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[6,1]
[4,6,7,2,3,1,5]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[6,1]
[4,6,7,2,3,5,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[6,1]
[4,6,7,2,5,1,3]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[5,2]
[4,6,7,2,5,3,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[6,1]
[4,6,7,3,1,2,5]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[6,1]
[4,6,7,3,1,5,2]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[6,1]
[4,6,7,3,2,1,5]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[6,1]
[4,6,7,3,2,5,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[6,1]
[4,6,7,3,5,1,2]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[6,1]
[4,6,7,3,5,2,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[6,1]
[4,6,7,5,1,2,3]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[5,1,1]
[4,6,7,5,1,3,2]=>[1,3,2,4,6,7,5]=>[1,3,2,4,7,6,5]=>[4,2,1]
[4,6,7,5,2,1,3]=>[1,3,2,4,6,7,5]=>[1,3,2,4,7,6,5]=>[4,2,1]
[4,6,7,5,2,3,1]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[5,1,1]
[4,6,7,5,3,1,2]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[5,1,1]
[4,6,7,5,3,2,1]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[5,1,1]
[4,7,1,2,3,5,6]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[5,1,1]
[4,7,1,2,3,6,5]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[5,2]
[4,7,1,2,5,3,6]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[5,2]
[4,7,1,2,5,6,3]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>[5,1,1]
[4,7,1,2,6,3,5]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>[5,1,1]
[4,7,1,2,6,5,3]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[5,2]
[4,7,1,3,2,5,6]=>[1,3,2,5,6,4,7]=>[1,3,2,6,5,4,7]=>[4,2,1]
[4,7,1,3,2,6,5]=>[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5]=>[4,3]
[4,7,1,3,5,2,6]=>[1,3,5,2,6,4,7]=>[1,5,3,6,2,4,7]=>[4,2,1]
[4,7,1,3,5,6,2]=>[1,3,5,6,2,4,7]=>[1,6,3,2,5,4,7]=>[4,2,1]
[4,7,1,3,6,2,5]=>[1,3,6,2,5,4,7]=>[1,6,3,5,2,4,7]=>[4,2,1]
[4,7,1,3,6,5,2]=>[1,3,6,2,4,7,5]=>[1,6,3,2,7,4,5]=>[4,2,1]
[4,7,1,5,2,3,6]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[5,2]
[4,7,1,5,2,6,3]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[4,2,1]
[4,7,1,5,3,2,6]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[4,2,1]
[4,7,1,5,3,6,2]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[5,2]
[4,7,1,5,6,2,3]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[5,1,1]
[4,7,1,5,6,3,2]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[5,1,1]
[4,7,1,6,2,3,5]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[5,1,1]
[4,7,1,6,2,5,3]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[4,1,1,1]
[4,7,1,6,3,2,5]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[4,1,1,1]
[4,7,1,6,3,5,2]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[5,1,1]
[4,7,1,6,5,2,3]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[5,2]
[4,7,1,6,5,3,2]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[5,2]
[4,7,2,1,3,5,6]=>[1,3,5,6,2,4,7]=>[1,6,3,2,5,4,7]=>[4,2,1]
[4,7,2,1,3,6,5]=>[1,3,6,2,4,7,5]=>[1,6,3,2,7,4,5]=>[4,2,1]
[4,7,2,1,5,3,6]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[5,2]
[4,7,2,1,5,6,3]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[5,1,1]
[4,7,2,1,6,3,5]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[5,1,1]
[4,7,2,1,6,5,3]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[5,2]
[4,7,2,3,1,5,6]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[5,1,1]
[4,7,2,3,1,6,5]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[5,2]
[4,7,2,3,5,1,6]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[5,1,1]
[4,7,2,3,5,6,1]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[5,1,1]
[4,7,2,3,6,1,5]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[5,2]
[4,7,2,3,6,5,1]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[5,2]
[4,7,2,5,1,3,6]=>[1,3,6,2,5,4,7]=>[1,6,3,5,2,4,7]=>[4,2,1]
[4,7,2,5,1,6,3]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[4,1,1,1]
[4,7,2,5,3,1,6]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[4,1,1,1]
[4,7,2,5,3,6,1]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[5,2]
[4,7,2,5,6,1,3]=>[1,3,2,5,6,4,7]=>[1,3,2,6,5,4,7]=>[4,2,1]
[4,7,2,5,6,3,1]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>[5,1,1]
[4,7,2,6,1,3,5]=>[1,3,5,2,6,4,7]=>[1,5,3,6,2,4,7]=>[4,2,1]
[4,7,2,6,1,5,3]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[4,2,1]
[4,7,2,6,3,1,5]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[4,2,1]
[4,7,2,6,3,5,1]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>[5,1,1]
[4,7,2,6,5,1,3]=>[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5]=>[4,3]
[4,7,2,6,5,3,1]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[5,2]
[4,7,3,1,2,5,6]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>[5,1,1]
[4,7,3,1,2,6,5]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[5,2]
[4,7,3,1,5,2,6]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[4,2,1]
[4,7,3,1,5,6,2]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[5,1,1]
[4,7,3,1,6,2,5]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[4,1,1,1]
[4,7,3,1,6,5,2]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[5,2]
[4,7,3,2,1,5,6]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[5,1,1]
[4,7,3,2,1,6,5]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[5,2]
[4,7,3,2,5,1,6]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[4,1,1,1]
[4,7,3,2,5,6,1]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>[5,1,1]
[4,7,3,2,6,1,5]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[4,2,1]
[4,7,3,2,6,5,1]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[5,2]
[4,7,3,5,1,2,6]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>[5,1,1]
[4,7,3,5,1,6,2]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[5,1,1]
[4,7,3,5,2,1,6]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[5,1,1]
[4,7,3,5,2,6,1]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>[5,1,1]
[4,7,3,5,6,1,2]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[5,1,1]
[4,7,3,5,6,2,1]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[5,1,1]
[4,7,3,6,1,2,5]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[5,2]
[4,7,3,6,1,5,2]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[5,2]
[4,7,3,6,2,1,5]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[5,2]
[4,7,3,6,2,5,1]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[5,2]
[4,7,3,6,5,1,2]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[5,2]
[4,7,3,6,5,2,1]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[5,2]
[4,7,5,1,2,3,6]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[5,2]
[4,7,5,1,2,6,3]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[5,2]
[4,7,5,1,3,2,6]=>[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5]=>[4,3]
[4,7,5,1,3,6,2]=>[1,3,6,2,4,7,5]=>[1,6,3,2,7,4,5]=>[4,2,1]
[4,7,5,1,6,2,3]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[5,2]
[4,7,5,1,6,3,2]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[5,2]
[4,7,5,2,1,3,6]=>[1,3,6,2,4,7,5]=>[1,6,3,2,7,4,5]=>[4,2,1]
[4,7,5,2,1,6,3]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[5,2]
[4,7,5,2,3,1,6]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[5,2]
[4,7,5,2,3,6,1]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[5,2]
[4,7,5,2,6,1,3]=>[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5]=>[4,3]
[4,7,5,2,6,3,1]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[5,2]
[4,7,5,3,1,2,6]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[5,2]
[4,7,5,3,1,6,2]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[5,2]
[4,7,5,3,2,1,6]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[5,2]
[4,7,5,3,2,6,1]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[5,2]
[4,7,5,3,6,1,2]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[5,2]
[4,7,5,3,6,2,1]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[5,2]
[4,7,5,6,1,2,3]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[6,1]
[4,7,5,6,1,3,2]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[5,2]
[4,7,5,6,2,1,3]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[5,2]
[4,7,5,6,2,3,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[6,1]
[4,7,5,6,3,1,2]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[6,1]
[4,7,5,6,3,2,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[6,1]
[4,7,6,1,2,3,5]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[5,2]
[4,7,6,1,2,5,3]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>[5,2]
[4,7,6,1,3,2,5]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[4,3]
[4,7,6,1,3,5,2]=>[1,3,5,2,4,7,6]=>[1,5,3,2,4,7,6]=>[4,2,1]
[4,7,6,1,5,2,3]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[5,2]
[4,7,6,1,5,3,2]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[5,2]
[4,7,6,2,1,3,5]=>[1,3,5,2,4,7,6]=>[1,5,3,2,4,7,6]=>[4,2,1]
[4,7,6,2,1,5,3]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[5,2]
[4,7,6,2,3,1,5]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[5,2]
[4,7,6,2,3,5,1]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[5,2]
[4,7,6,2,5,1,3]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[4,3]
[4,7,6,2,5,3,1]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>[5,2]
[4,7,6,3,1,2,5]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>[5,2]
[4,7,6,3,1,5,2]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[5,2]
[4,7,6,3,2,1,5]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[5,2]
[4,7,6,3,2,5,1]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>[5,2]
[4,7,6,3,5,1,2]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[5,2]
[4,7,6,3,5,2,1]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[5,2]
[4,7,6,5,1,2,3]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[6,1]
[4,7,6,5,1,3,2]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[5,2]
[4,7,6,5,2,1,3]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[5,2]
[4,7,6,5,2,3,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[6,1]
[4,7,6,5,3,1,2]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[6,1]
[4,7,6,5,3,2,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[6,1]
[5,1,2,3,4,6,7]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[5,1,1]
[5,1,2,3,4,7,6]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[6,1]
[5,1,2,3,6,4,7]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[5,2]
[5,1,2,3,6,7,4]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>[5,1,1]
[5,1,2,3,7,4,6]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>[5,1,1]
[5,1,2,3,7,6,4]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[6,1]
[5,1,2,4,3,6,7]=>[1,2,4,3,6,7,5]=>[1,2,4,3,7,6,5]=>[4,2,1]
[5,1,2,4,3,7,6]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[5,2]
[5,1,2,4,6,3,7]=>[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5]=>[4,2,1]
[5,1,2,4,6,7,3]=>[1,2,4,6,7,3,5]=>[1,2,7,4,3,6,5]=>[4,2,1]
[5,1,2,4,7,3,6]=>[1,2,4,7,3,6,5]=>[1,2,7,4,6,3,5]=>[4,2,1]
[5,1,2,4,7,6,3]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[5,1,1]
[5,1,2,6,3,4,7]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[5,2]
[5,1,2,6,3,7,4]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[4,2,1]
[5,1,2,6,4,3,7]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[4,2,1]
[5,1,2,6,4,7,3]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[5,2]
[5,1,2,6,7,3,4]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[5,1,1]
[5,1,2,6,7,4,3]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[5,1,1]
[5,1,2,7,3,4,6]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[5,1,1]
[5,1,2,7,3,6,4]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[4,1,1,1]
[5,1,2,7,4,3,6]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[4,1,1,1]
[5,1,2,7,4,6,3]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[5,1,1]
[5,1,2,7,6,3,4]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[5,1,2,7,6,4,3]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[5,1,3,2,4,6,7]=>[1,3,2,4,6,7,5]=>[1,3,2,4,7,6,5]=>[4,2,1]
[5,1,3,2,4,7,6]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[5,2]
[5,1,3,2,6,4,7]=>[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5]=>[4,3]
[5,1,3,2,6,7,4]=>[1,3,2,6,7,4,5]=>[1,3,2,7,4,6,5]=>[4,2,1]
[5,1,3,2,7,4,6]=>[1,3,2,7,4,6,5]=>[1,3,2,7,6,4,5]=>[4,2,1]
[5,1,3,2,7,6,4]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[5,2]
[5,1,3,4,2,6,7]=>[1,3,4,2,6,7,5]=>[1,4,3,2,7,6,5]=>[3,2,2]
[5,1,3,4,2,7,6]=>[1,3,4,2,7,5,6]=>[1,4,3,2,7,5,6]=>[4,2,1]
[5,1,3,4,6,2,7]=>[1,3,4,6,2,7,5]=>[1,6,3,4,7,2,5]=>[4,2,1]
[5,1,3,4,6,7,2]=>[1,3,4,6,7,2,5]=>[1,7,3,4,2,6,5]=>[4,2,1]
[5,1,3,4,7,2,6]=>[1,3,4,7,2,6,5]=>[1,7,3,4,6,2,5]=>[4,2,1]
[5,1,3,4,7,6,2]=>[1,3,4,7,2,5,6]=>[1,7,3,4,2,5,6]=>[5,1,1]
[5,1,3,6,2,4,7]=>[1,3,6,2,4,7,5]=>[1,6,3,2,7,4,5]=>[4,2,1]
[5,1,3,6,2,7,4]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>[4,2,1]
[5,1,3,6,4,2,7]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>[4,2,1]
[5,1,3,6,4,7,2]=>[1,3,6,2,4,7,5]=>[1,6,3,2,7,4,5]=>[4,2,1]
[5,1,3,6,7,2,4]=>[1,3,6,7,2,4,5]=>[1,7,3,2,4,6,5]=>[4,2,1]
[5,1,3,6,7,4,2]=>[1,3,6,7,2,4,5]=>[1,7,3,2,4,6,5]=>[4,2,1]
[5,1,3,7,2,4,6]=>[1,3,7,2,4,6,5]=>[1,7,3,2,6,4,5]=>[4,2,1]
[5,1,3,7,2,6,4]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>[4,1,1,1]
[5,1,3,7,4,2,6]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>[4,1,1,1]
[5,1,3,7,4,6,2]=>[1,3,7,2,4,6,5]=>[1,7,3,2,6,4,5]=>[4,2,1]
[5,1,3,7,6,2,4]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[5,1,1]
[5,1,3,7,6,4,2]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[5,1,1]
[5,1,4,2,3,6,7]=>[1,4,2,3,6,7,5]=>[1,4,2,3,7,6,5]=>[4,2,1]
[5,1,4,2,3,7,6]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[5,2]
[5,1,4,2,6,3,7]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[4,3]
[5,1,4,2,6,7,3]=>[1,4,2,6,7,3,5]=>[1,4,7,2,3,6,5]=>[4,2,1]
[5,1,4,2,7,3,6]=>[1,4,2,7,3,6,5]=>[1,4,7,2,6,3,5]=>[4,2,1]
[5,1,4,2,7,6,3]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[5,2]
[5,1,4,3,2,6,7]=>[1,4,2,6,7,3,5]=>[1,4,7,2,3,6,5]=>[4,2,1]
[5,1,4,3,2,7,6]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[5,2]
[5,1,4,3,6,2,7]=>[1,4,2,7,3,6,5]=>[1,4,7,2,6,3,5]=>[4,2,1]
[5,1,4,3,6,7,2]=>[1,4,2,3,6,7,5]=>[1,4,2,3,7,6,5]=>[4,2,1]
[5,1,4,3,7,2,6]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[4,3]
[5,1,4,3,7,6,2]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[5,2]
[5,1,4,6,2,3,7]=>[1,4,6,2,3,7,5]=>[1,6,2,4,7,3,5]=>[4,2,1]
[5,1,4,6,2,7,3]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>[3,2,1,1]
[5,1,4,6,3,2,7]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>[3,2,1,1]
[5,1,4,6,3,7,2]=>[1,4,6,2,3,7,5]=>[1,6,2,4,7,3,5]=>[4,2,1]
[5,1,4,6,7,2,3]=>[1,4,6,7,2,3,5]=>[1,7,2,4,3,6,5]=>[4,2,1]
[5,1,4,6,7,3,2]=>[1,4,6,7,2,3,5]=>[1,7,2,4,3,6,5]=>[4,2,1]
[5,1,4,7,2,3,6]=>[1,4,7,2,3,6,5]=>[1,7,2,4,6,3,5]=>[4,2,1]
[5,1,4,7,2,6,3]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>[3,1,1,1,1]
[5,1,4,7,3,2,6]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>[3,1,1,1,1]
[5,1,4,7,3,6,2]=>[1,4,7,2,3,6,5]=>[1,7,2,4,6,3,5]=>[4,2,1]
[5,1,4,7,6,2,3]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[5,1,1]
[5,1,4,7,6,3,2]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[5,1,1]
[5,1,6,2,3,4,7]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[5,2]
[5,1,6,2,3,7,4]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[4,2,1]
[5,1,6,2,4,3,7]=>[1,6,2,4,3,7,5]=>[1,6,4,2,7,3,5]=>[4,2,1]
[5,1,6,2,4,7,3]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>[5,2]
[5,1,6,2,7,3,4]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[5,1,6,2,7,4,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[5,1,6,3,2,4,7]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>[5,2]
[5,1,6,3,2,7,4]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[5,1,6,3,4,2,7]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[5,1,6,3,4,7,2]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[5,2]
[5,1,6,3,7,2,4]=>[1,6,2,4,3,7,5]=>[1,6,4,2,7,3,5]=>[4,2,1]
[5,1,6,3,7,4,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[4,2,1]
[5,1,6,4,2,3,7]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[4,2,1]
[5,1,6,4,2,7,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[5,1,6,4,3,2,7]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[5,1,6,4,3,7,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[4,2,1]
[5,1,6,4,7,2,3]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[5,2]
[5,1,6,4,7,3,2]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[5,2]
[5,1,6,7,2,3,4]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[5,1,1]
[5,1,6,7,2,4,3]=>[1,6,7,2,4,3,5]=>[1,7,4,2,3,6,5]=>[4,2,1]
[5,1,6,7,3,2,4]=>[1,6,7,2,4,3,5]=>[1,7,4,2,3,6,5]=>[4,2,1]
[5,1,6,7,3,4,2]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[5,1,1]
[5,1,6,7,4,2,3]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[5,1,1]
[5,1,6,7,4,3,2]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[5,1,1]
[5,1,7,2,3,4,6]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[5,1,1]
[5,1,7,2,3,6,4]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[4,1,1,1]
[5,1,7,2,4,3,6]=>[1,7,2,4,3,6,5]=>[1,7,4,2,6,3,5]=>[4,2,1]
[5,1,7,2,4,6,3]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>[5,1,1]
[5,1,7,2,6,3,4]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[5,1,7,2,6,4,3]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[5,1,7,3,2,4,6]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>[5,1,1]
[5,1,7,3,2,6,4]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[5,1,7,3,4,2,6]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[5,1,7,3,4,6,2]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[5,1,1]
[5,1,7,3,6,2,4]=>[1,7,2,4,3,6,5]=>[1,7,4,2,6,3,5]=>[4,2,1]
[5,1,7,3,6,4,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[4,1,1,1]
[5,1,7,4,2,3,6]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[4,1,1,1]
[5,1,7,4,2,6,3]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[5,1,7,4,3,2,6]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[5,1,7,4,3,6,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[4,1,1,1]
[5,1,7,4,6,2,3]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[5,1,1]
[5,1,7,4,6,3,2]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[5,1,1]
[5,1,7,6,2,3,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[5,1,7,6,2,4,3]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[5,1,1]
[5,1,7,6,3,2,4]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[5,1,1]
[5,1,7,6,3,4,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[5,1,7,6,4,2,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[5,1,7,6,4,3,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[5,2,1,3,4,6,7]=>[1,3,4,6,7,2,5]=>[1,7,3,4,2,6,5]=>[4,2,1]
[5,2,1,3,4,7,6]=>[1,3,4,7,2,5,6]=>[1,7,3,4,2,5,6]=>[5,1,1]
[5,2,1,3,6,4,7]=>[1,3,6,2,4,7,5]=>[1,6,3,2,7,4,5]=>[4,2,1]
[5,2,1,3,6,7,4]=>[1,3,6,7,2,4,5]=>[1,7,3,2,4,6,5]=>[4,2,1]
[5,2,1,3,7,4,6]=>[1,3,7,2,4,6,5]=>[1,7,3,2,6,4,5]=>[4,2,1]
[5,2,1,3,7,6,4]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[5,1,1]
[5,2,1,4,3,6,7]=>[1,4,2,3,6,7,5]=>[1,4,2,3,7,6,5]=>[4,2,1]
[5,2,1,4,3,7,6]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[5,2]
[5,2,1,4,6,3,7]=>[1,4,6,2,3,7,5]=>[1,6,2,4,7,3,5]=>[4,2,1]
[5,2,1,4,6,7,3]=>[1,4,6,7,2,3,5]=>[1,7,2,4,3,6,5]=>[4,2,1]
[5,2,1,4,7,3,6]=>[1,4,7,2,3,6,5]=>[1,7,2,4,6,3,5]=>[4,2,1]
[5,2,1,4,7,6,3]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[5,1,1]
[5,2,1,6,3,4,7]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[5,2]
[5,2,1,6,3,7,4]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[4,2,1]
[5,2,1,6,4,3,7]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[4,2,1]
[5,2,1,6,4,7,3]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[5,2]
[5,2,1,6,7,3,4]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[5,1,1]
[5,2,1,6,7,4,3]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[5,1,1]
[5,2,1,7,3,4,6]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[5,1,1]
[5,2,1,7,3,6,4]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[4,1,1,1]
[5,2,1,7,4,3,6]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[4,1,1,1]
[5,2,1,7,4,6,3]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[5,1,1]
[5,2,1,7,6,3,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[5,2,1,7,6,4,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[5,2,3,1,4,6,7]=>[1,4,6,7,2,3,5]=>[1,7,2,4,3,6,5]=>[4,2,1]
[5,2,3,1,4,7,6]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[5,1,1]
[5,2,3,1,6,4,7]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[5,2]
[5,2,3,1,6,7,4]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[5,1,1]
[5,2,3,1,7,4,6]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[5,1,1]
[5,2,3,1,7,6,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[5,2,3,4,1,6,7]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[5,1,1]
[5,2,3,4,1,7,6]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[5,2,3,4,6,1,7]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[5,1,1]
[5,2,3,4,6,7,1]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[5,1,1]
[5,2,3,4,7,1,6]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[5,2]
[5,2,3,4,7,6,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[6,1]
[5,2,3,6,1,4,7]=>[1,4,7,2,3,6,5]=>[1,7,2,4,6,3,5]=>[4,2,1]
[5,2,3,6,1,7,4]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[4,1,1,1]
[5,2,3,6,4,1,7]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[4,1,1,1]
[5,2,3,6,4,7,1]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[5,2]
[5,2,3,6,7,1,4]=>[1,4,2,3,6,7,5]=>[1,4,2,3,7,6,5]=>[4,2,1]
[5,2,3,6,7,4,1]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>[5,1,1]
[5,2,3,7,1,4,6]=>[1,4,6,2,3,7,5]=>[1,6,2,4,7,3,5]=>[4,2,1]
[5,2,3,7,1,6,4]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[4,2,1]
[5,2,3,7,4,1,6]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[4,2,1]
[5,2,3,7,4,6,1]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>[5,1,1]
[5,2,3,7,6,1,4]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[5,2]
[5,2,3,7,6,4,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[6,1]
[5,2,4,1,3,6,7]=>[1,3,6,7,2,4,5]=>[1,7,3,2,4,6,5]=>[4,2,1]
[5,2,4,1,3,7,6]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[5,1,1]
[5,2,4,1,6,3,7]=>[1,6,2,4,3,7,5]=>[1,6,4,2,7,3,5]=>[4,2,1]
[5,2,4,1,6,7,3]=>[1,6,7,2,4,3,5]=>[1,7,4,2,3,6,5]=>[4,2,1]
[5,2,4,1,7,3,6]=>[1,7,2,4,3,6,5]=>[1,7,4,2,6,3,5]=>[4,2,1]
[5,2,4,1,7,6,3]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[5,1,1]
[5,2,4,3,1,6,7]=>[1,6,7,2,4,3,5]=>[1,7,4,2,3,6,5]=>[4,2,1]
[5,2,4,3,1,7,6]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[5,1,1]
[5,2,4,3,6,1,7]=>[1,7,2,4,3,6,5]=>[1,7,4,2,6,3,5]=>[4,2,1]
[5,2,4,3,6,7,1]=>[1,2,4,3,6,7,5]=>[1,2,4,3,7,6,5]=>[4,2,1]
[5,2,4,3,7,1,6]=>[1,6,2,4,3,7,5]=>[1,6,4,2,7,3,5]=>[4,2,1]
[5,2,4,3,7,6,1]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[5,2]
[5,2,4,6,1,3,7]=>[1,3,7,2,4,6,5]=>[1,7,3,2,6,4,5]=>[4,2,1]
[5,2,4,6,1,7,3]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>[5,1,1]
[5,2,4,6,3,1,7]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>[5,1,1]
[5,2,4,6,3,7,1]=>[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5]=>[4,2,1]
[5,2,4,6,7,1,3]=>[1,3,2,4,6,7,5]=>[1,3,2,4,7,6,5]=>[4,2,1]
[5,2,4,6,7,3,1]=>[1,2,4,6,7,3,5]=>[1,2,7,4,3,6,5]=>[4,2,1]
[5,2,4,7,1,3,6]=>[1,3,6,2,4,7,5]=>[1,6,3,2,7,4,5]=>[4,2,1]
[5,2,4,7,1,6,3]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>[5,2]
[5,2,4,7,3,1,6]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>[5,2]
[5,2,4,7,3,6,1]=>[1,2,4,7,3,6,5]=>[1,2,7,4,6,3,5]=>[4,2,1]
[5,2,4,7,6,1,3]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[5,2]
[5,2,4,7,6,3,1]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[5,1,1]
[5,2,6,1,3,4,7]=>[1,3,4,7,2,6,5]=>[1,7,3,4,6,2,5]=>[4,2,1]
[5,2,6,1,3,7,4]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>[4,1,1,1]
[5,2,6,1,4,3,7]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[4,3]
[5,2,6,1,4,7,3]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>[3,1,1,1,1]
[5,2,6,1,7,3,4]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[5,2,6,1,7,4,3]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[5,2,6,3,1,4,7]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>[3,1,1,1,1]
[5,2,6,3,1,7,4]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[5,2,6,3,4,1,7]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[5,2,6,3,4,7,1]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[5,2]
[5,2,6,3,7,1,4]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[4,3]
[5,2,6,3,7,4,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[4,2,1]
[5,2,6,4,1,3,7]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>[4,1,1,1]
[5,2,6,4,1,7,3]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[5,2,6,4,3,1,7]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[5,2,6,4,3,7,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[4,2,1]
[5,2,6,4,7,1,3]=>[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5]=>[4,3]
[5,2,6,4,7,3,1]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[5,2]
[5,2,6,7,1,3,4]=>[1,3,4,2,6,7,5]=>[1,4,3,2,7,6,5]=>[3,2,2]
[5,2,6,7,1,4,3]=>[1,4,2,6,7,3,5]=>[1,4,7,2,3,6,5]=>[4,2,1]
[5,2,6,7,3,1,4]=>[1,4,2,6,7,3,5]=>[1,4,7,2,3,6,5]=>[4,2,1]
[5,2,6,7,3,4,1]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[5,1,1]
[5,2,6,7,4,1,3]=>[1,3,2,6,7,4,5]=>[1,3,2,7,4,6,5]=>[4,2,1]
[5,2,6,7,4,3,1]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[5,1,1]
[5,2,7,1,3,4,6]=>[1,3,4,6,2,7,5]=>[1,6,3,4,7,2,5]=>[4,2,1]
[5,2,7,1,3,6,4]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>[4,2,1]
[5,2,7,1,4,3,6]=>[1,4,2,7,3,6,5]=>[1,4,7,2,6,3,5]=>[4,2,1]
[5,2,7,1,4,6,3]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>[3,2,1,1]
[5,2,7,1,6,3,4]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[5,2,7,1,6,4,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[5,2,7,3,1,4,6]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>[3,2,1,1]
[5,2,7,3,1,6,4]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[5,2,7,3,4,1,6]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[5,2,7,3,4,6,1]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[5,1,1]
[5,2,7,3,6,1,4]=>[1,4,2,7,3,6,5]=>[1,4,7,2,6,3,5]=>[4,2,1]
[5,2,7,3,6,4,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[4,1,1,1]
[5,2,7,4,1,3,6]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>[4,2,1]
[5,2,7,4,1,6,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[5,2,7,4,3,1,6]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[5,2,7,4,3,6,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[4,1,1,1]
[5,2,7,4,6,1,3]=>[1,3,2,7,4,6,5]=>[1,3,2,7,6,4,5]=>[4,2,1]
[5,2,7,4,6,3,1]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[5,1,1]
[5,2,7,6,1,3,4]=>[1,3,4,2,7,5,6]=>[1,4,3,2,7,5,6]=>[4,2,1]
[5,2,7,6,1,4,3]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[5,2]
[5,2,7,6,3,1,4]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[5,2]
[5,2,7,6,3,4,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[5,2,7,6,4,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[5,2]
[5,2,7,6,4,3,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[5,3,1,2,4,6,7]=>[1,2,4,6,7,3,5]=>[1,2,7,4,3,6,5]=>[4,2,1]
[5,3,1,2,4,7,6]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[5,1,1]
[5,3,1,2,6,4,7]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[5,2]
[5,3,1,2,6,7,4]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[5,1,1]
[5,3,1,2,7,4,6]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[5,1,1]
[5,3,1,2,7,6,4]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[5,3,1,4,2,6,7]=>[1,4,2,6,7,3,5]=>[1,4,7,2,3,6,5]=>[4,2,1]
[5,3,1,4,2,7,6]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[5,2]
[5,3,1,4,6,2,7]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>[3,2,1,1]
[5,3,1,4,6,7,2]=>[1,4,6,7,2,3,5]=>[1,7,2,4,3,6,5]=>[4,2,1]
[5,3,1,4,7,2,6]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>[3,1,1,1,1]
[5,3,1,4,7,6,2]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[5,1,1]
[5,3,1,6,2,4,7]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>[5,2]
[5,3,1,6,2,7,4]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[5,3,1,6,4,2,7]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[5,3,1,6,4,7,2]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[5,2]
[5,3,1,6,7,2,4]=>[1,6,7,2,4,3,5]=>[1,7,4,2,3,6,5]=>[4,2,1]
[5,3,1,6,7,4,2]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[5,1,1]
[5,3,1,7,2,4,6]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>[5,1,1]
[5,3,1,7,2,6,4]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[5,3,1,7,4,2,6]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[5,3,1,7,4,6,2]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[5,1,1]
[5,3,1,7,6,2,4]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[5,1,1]
[5,3,1,7,6,4,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[5,3,2,1,4,6,7]=>[1,4,6,7,2,3,5]=>[1,7,2,4,3,6,5]=>[4,2,1]
[5,3,2,1,4,7,6]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[5,1,1]
[5,3,2,1,6,4,7]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[5,2]
[5,3,2,1,6,7,4]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[5,1,1]
[5,3,2,1,7,4,6]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[5,1,1]
[5,3,2,1,7,6,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[5,3,2,4,1,6,7]=>[1,6,7,2,4,3,5]=>[1,7,4,2,3,6,5]=>[4,2,1]
[5,3,2,4,1,7,6]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[5,1,1]
[5,3,2,4,6,1,7]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>[5,1,1]
[5,3,2,4,6,7,1]=>[1,2,4,6,7,3,5]=>[1,2,7,4,3,6,5]=>[4,2,1]
[5,3,2,4,7,1,6]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>[5,2]
[5,3,2,4,7,6,1]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[5,1,1]
[5,3,2,6,1,4,7]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>[3,1,1,1,1]
[5,3,2,6,1,7,4]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[5,3,2,6,4,1,7]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[5,3,2,6,4,7,1]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[5,2]
[5,3,2,6,7,1,4]=>[1,4,2,6,7,3,5]=>[1,4,7,2,3,6,5]=>[4,2,1]
[5,3,2,6,7,4,1]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[5,1,1]
[5,3,2,7,1,4,6]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>[3,2,1,1]
[5,3,2,7,1,6,4]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[5,3,2,7,4,1,6]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[5,3,2,7,4,6,1]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[5,1,1]
[5,3,2,7,6,1,4]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[5,2]
[5,3,2,7,6,4,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[5,3,4,1,2,6,7]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[5,1,1]
[5,3,4,1,2,7,6]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[5,3,4,1,6,2,7]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[5,3,4,1,6,7,2]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[5,1,1]
[5,3,4,1,7,2,6]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[5,3,4,1,7,6,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[5,3,4,2,1,6,7]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[5,1,1]
[5,3,4,2,1,7,6]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[5,3,4,2,6,1,7]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[5,3,4,2,6,7,1]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[5,1,1]
[5,3,4,2,7,1,6]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[5,3,4,2,7,6,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[5,3,4,6,1,2,7]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[5,1,1]
[5,3,4,6,1,7,2]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[5,1,1]
[5,3,4,6,2,1,7]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[5,1,1]
[5,3,4,6,2,7,1]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[5,1,1]
[5,3,4,6,7,1,2]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[5,1,1]
[5,3,4,6,7,2,1]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[5,1,1]
[5,3,4,7,1,2,6]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[5,2]
[5,3,4,7,1,6,2]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[5,2]
[5,3,4,7,2,1,6]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[5,2]
[5,3,4,7,2,6,1]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[5,2]
[5,3,4,7,6,1,2]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[6,1]
[5,3,4,7,6,2,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[6,1]
[5,3,6,1,2,4,7]=>[1,2,4,7,3,6,5]=>[1,2,7,4,6,3,5]=>[4,2,1]
[5,3,6,1,2,7,4]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[4,1,1,1]
[5,3,6,1,4,2,7]=>[1,4,2,7,3,6,5]=>[1,4,7,2,6,3,5]=>[4,2,1]
[5,3,6,1,4,7,2]=>[1,4,7,2,3,6,5]=>[1,7,2,4,6,3,5]=>[4,2,1]
[5,3,6,1,7,2,4]=>[1,7,2,4,3,6,5]=>[1,7,4,2,6,3,5]=>[4,2,1]
[5,3,6,1,7,4,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[4,1,1,1]
[5,3,6,2,1,4,7]=>[1,4,7,2,3,6,5]=>[1,7,2,4,6,3,5]=>[4,2,1]
[5,3,6,2,1,7,4]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[4,1,1,1]
[5,3,6,2,4,1,7]=>[1,7,2,4,3,6,5]=>[1,7,4,2,6,3,5]=>[4,2,1]
[5,3,6,2,4,7,1]=>[1,2,4,7,3,6,5]=>[1,2,7,4,6,3,5]=>[4,2,1]
[5,3,6,2,7,1,4]=>[1,4,2,7,3,6,5]=>[1,4,7,2,6,3,5]=>[4,2,1]
[5,3,6,2,7,4,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[4,1,1,1]
[5,3,6,4,1,2,7]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[4,1,1,1]
[5,3,6,4,1,7,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[4,1,1,1]
[5,3,6,4,2,1,7]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[4,1,1,1]
[5,3,6,4,2,7,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[4,1,1,1]
[5,3,6,4,7,1,2]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[5,2]
[5,3,6,4,7,2,1]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[5,2]
[5,3,6,7,1,2,4]=>[1,2,4,3,6,7,5]=>[1,2,4,3,7,6,5]=>[4,2,1]
[5,3,6,7,1,4,2]=>[1,4,2,3,6,7,5]=>[1,4,2,3,7,6,5]=>[4,2,1]
[5,3,6,7,2,1,4]=>[1,4,2,3,6,7,5]=>[1,4,2,3,7,6,5]=>[4,2,1]
[5,3,6,7,2,4,1]=>[1,2,4,3,6,7,5]=>[1,2,4,3,7,6,5]=>[4,2,1]
[5,3,6,7,4,1,2]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>[5,1,1]
[5,3,6,7,4,2,1]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>[5,1,1]
[5,3,7,1,2,4,6]=>[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5]=>[4,2,1]
[5,3,7,1,2,6,4]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[4,2,1]
[5,3,7,1,4,2,6]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[4,3]
[5,3,7,1,4,6,2]=>[1,4,6,2,3,7,5]=>[1,6,2,4,7,3,5]=>[4,2,1]
[5,3,7,1,6,2,4]=>[1,6,2,4,3,7,5]=>[1,6,4,2,7,3,5]=>[4,2,1]
[5,3,7,1,6,4,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[4,2,1]
[5,3,7,2,1,4,6]=>[1,4,6,2,3,7,5]=>[1,6,2,4,7,3,5]=>[4,2,1]
[5,3,7,2,1,6,4]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[4,2,1]
[5,3,7,2,4,1,6]=>[1,6,2,4,3,7,5]=>[1,6,4,2,7,3,5]=>[4,2,1]
[5,3,7,2,4,6,1]=>[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5]=>[4,2,1]
[5,3,7,2,6,1,4]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[4,3]
[5,3,7,2,6,4,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[4,2,1]
[5,3,7,4,1,2,6]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[4,2,1]
[5,3,7,4,1,6,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[4,2,1]
[5,3,7,4,2,1,6]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[4,2,1]
[5,3,7,4,2,6,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[4,2,1]
[5,3,7,4,6,1,2]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>[5,1,1]
[5,3,7,4,6,2,1]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>[5,1,1]
[5,3,7,6,1,2,4]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[5,2]
[5,3,7,6,1,4,2]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[5,2]
[5,3,7,6,2,1,4]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[5,2]
[5,3,7,6,2,4,1]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[5,2]
[5,3,7,6,4,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[6,1]
[5,3,7,6,4,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[6,1]
[5,4,1,2,3,6,7]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>[5,1,1]
[5,4,1,2,3,7,6]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[6,1]
[5,4,1,2,6,3,7]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[4,2,1]
[5,4,1,2,6,7,3]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[5,1,1]
[5,4,1,2,7,3,6]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[4,1,1,1]
[5,4,1,2,7,6,3]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[5,4,1,3,2,6,7]=>[1,3,2,6,7,4,5]=>[1,3,2,7,4,6,5]=>[4,2,1]
[5,4,1,3,2,7,6]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[5,2]
[5,4,1,3,6,2,7]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>[4,2,1]
[5,4,1,3,6,7,2]=>[1,3,6,7,2,4,5]=>[1,7,3,2,4,6,5]=>[4,2,1]
[5,4,1,3,7,2,6]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>[4,1,1,1]
[5,4,1,3,7,6,2]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[5,1,1]
[5,4,1,6,2,3,7]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[4,2,1]
[5,4,1,6,2,7,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[5,4,1,6,3,2,7]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[5,4,1,6,3,7,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[4,2,1]
[5,4,1,6,7,2,3]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[5,1,1]
[5,4,1,6,7,3,2]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[5,1,1]
[5,4,1,7,2,3,6]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[4,1,1,1]
[5,4,1,7,2,6,3]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[5,4,1,7,3,2,6]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[5,4,1,7,3,6,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[4,1,1,1]
[5,4,1,7,6,2,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[5,4,1,7,6,3,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[5,4,2,1,3,6,7]=>[1,3,6,7,2,4,5]=>[1,7,3,2,4,6,5]=>[4,2,1]
[5,4,2,1,3,7,6]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[5,1,1]
[5,4,2,1,6,3,7]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[4,2,1]
[5,4,2,1,6,7,3]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[5,1,1]
[5,4,2,1,7,3,6]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[4,1,1,1]
[5,4,2,1,7,6,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[5,4,2,3,1,6,7]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[5,1,1]
[5,4,2,3,1,7,6]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[5,4,2,3,6,1,7]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[4,1,1,1]
[5,4,2,3,6,7,1]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>[5,1,1]
[5,4,2,3,7,1,6]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[4,2,1]
[5,4,2,3,7,6,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[6,1]
[5,4,2,6,1,3,7]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>[4,1,1,1]
[5,4,2,6,1,7,3]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[5,4,2,6,3,1,7]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[5,4,2,6,3,7,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[4,2,1]
[5,4,2,6,7,1,3]=>[1,3,2,6,7,4,5]=>[1,3,2,7,4,6,5]=>[4,2,1]
[5,4,2,6,7,3,1]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[5,1,1]
[5,4,2,7,1,3,6]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>[4,2,1]
[5,4,2,7,1,6,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[5,4,2,7,3,1,6]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[5,4,2,7,3,6,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[4,1,1,1]
[5,4,2,7,6,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[5,2]
[5,4,2,7,6,3,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[5,4,3,1,2,6,7]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[5,1,1]
[5,4,3,1,2,7,6]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[5,4,3,1,6,2,7]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[5,4,3,1,6,7,2]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[5,1,1]
[5,4,3,1,7,2,6]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[5,4,3,1,7,6,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[5,4,3,2,1,6,7]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[5,1,1]
[5,4,3,2,1,7,6]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[5,4,3,2,6,1,7]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[4,1,1,1]
[5,4,3,2,6,7,1]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[5,1,1]
[5,4,3,2,7,1,6]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[4,2,1]
[5,4,3,2,7,6,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[5,4,3,6,1,2,7]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[4,1,1,1]
[5,4,3,6,1,7,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[4,1,1,1]
[5,4,3,6,2,1,7]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[4,1,1,1]
[5,4,3,6,2,7,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[4,1,1,1]
[5,4,3,6,7,1,2]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>[5,1,1]
[5,4,3,6,7,2,1]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>[5,1,1]
[5,4,3,7,1,2,6]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[4,2,1]
[5,4,3,7,1,6,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[4,2,1]
[5,4,3,7,2,1,6]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[4,2,1]
[5,4,3,7,2,6,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[4,2,1]
[5,4,3,7,6,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[6,1]
[5,4,3,7,6,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[6,1]
[5,4,6,1,2,3,7]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>[5,1,1]
[5,4,6,1,2,7,3]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[5,1,1]
[5,4,6,1,3,2,7]=>[1,3,2,7,4,6,5]=>[1,3,2,7,6,4,5]=>[4,2,1]
[5,4,6,1,3,7,2]=>[1,3,7,2,4,6,5]=>[1,7,3,2,6,4,5]=>[4,2,1]
[5,4,6,1,7,2,3]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[5,1,1]
[5,4,6,1,7,3,2]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[5,1,1]
[5,4,6,2,1,3,7]=>[1,3,7,2,4,6,5]=>[1,7,3,2,6,4,5]=>[4,2,1]
[5,4,6,2,1,7,3]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[5,1,1]
[5,4,6,2,3,1,7]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[5,1,1]
[5,4,6,2,3,7,1]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>[5,1,1]
[5,4,6,2,7,1,3]=>[1,3,2,7,4,6,5]=>[1,3,2,7,6,4,5]=>[4,2,1]
[5,4,6,2,7,3,1]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[5,1,1]
[5,4,6,3,1,2,7]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[5,1,1]
[5,4,6,3,1,7,2]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[5,1,1]
[5,4,6,3,2,1,7]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[5,1,1]
[5,4,6,3,2,7,1]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[5,1,1]
[5,4,6,3,7,1,2]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>[5,1,1]
[5,4,6,3,7,2,1]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>[5,1,1]
[5,4,6,7,1,2,3]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[5,1,1]
[5,4,6,7,1,3,2]=>[1,3,2,4,6,7,5]=>[1,3,2,4,7,6,5]=>[4,2,1]
[5,4,6,7,2,1,3]=>[1,3,2,4,6,7,5]=>[1,3,2,4,7,6,5]=>[4,2,1]
[5,4,6,7,2,3,1]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[5,1,1]
[5,4,6,7,3,1,2]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[5,1,1]
[5,4,6,7,3,2,1]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[5,1,1]
[5,4,7,1,2,3,6]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[5,2]
[5,4,7,1,2,6,3]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[5,2]
[5,4,7,1,3,2,6]=>[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5]=>[4,3]
[5,4,7,1,3,6,2]=>[1,3,6,2,4,7,5]=>[1,6,3,2,7,4,5]=>[4,2,1]
[5,4,7,1,6,2,3]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[5,2]
[5,4,7,1,6,3,2]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[5,2]
[5,4,7,2,1,3,6]=>[1,3,6,2,4,7,5]=>[1,6,3,2,7,4,5]=>[4,2,1]
[5,4,7,2,1,6,3]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[5,2]
[5,4,7,2,3,1,6]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[5,2]
[5,4,7,2,3,6,1]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[5,2]
[5,4,7,2,6,1,3]=>[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5]=>[4,3]
[5,4,7,2,6,3,1]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[5,2]
[5,4,7,3,1,2,6]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[5,2]
[5,4,7,3,1,6,2]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[5,2]
[5,4,7,3,2,1,6]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[5,2]
[5,4,7,3,2,6,1]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[5,2]
[5,4,7,3,6,1,2]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[5,2]
[5,4,7,3,6,2,1]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[5,2]
[5,4,7,6,1,2,3]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[6,1]
[5,4,7,6,1,3,2]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[5,2]
[5,4,7,6,2,1,3]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[5,2]
[5,4,7,6,2,3,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[6,1]
[5,4,7,6,3,1,2]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[6,1]
[5,4,7,6,3,2,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[6,1]
[5,6,1,2,3,4,7]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[6,1]
[5,6,1,2,3,7,4]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[6,1]
[5,6,1,2,4,3,7]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[5,2]
[5,6,1,2,4,7,3]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[5,1,1]
[5,6,1,2,7,3,4]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[5,6,1,2,7,4,3]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[5,6,1,3,2,4,7]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[5,2]
[5,6,1,3,2,7,4]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[5,2]
[5,6,1,3,4,2,7]=>[1,3,4,2,7,5,6]=>[1,4,3,2,7,5,6]=>[4,2,1]
[5,6,1,3,4,7,2]=>[1,3,4,7,2,5,6]=>[1,7,3,4,2,5,6]=>[5,1,1]
[5,6,1,3,7,2,4]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[5,1,1]
[5,6,1,3,7,4,2]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[5,1,1]
[5,6,1,4,2,3,7]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[5,2]
[5,6,1,4,2,7,3]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[5,2]
[5,6,1,4,3,2,7]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[5,2]
[5,6,1,4,3,7,2]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[5,2]
[5,6,1,4,7,2,3]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[5,1,1]
[5,6,1,4,7,3,2]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[5,1,1]
[5,6,1,7,2,3,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[5,6,1,7,2,4,3]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[5,1,1]
[5,6,1,7,3,2,4]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[5,1,1]
[5,6,1,7,3,4,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[5,6,1,7,4,2,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[5,6,1,7,4,3,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[5,6,2,1,3,4,7]=>[1,3,4,7,2,5,6]=>[1,7,3,4,2,5,6]=>[5,1,1]
[5,6,2,1,3,7,4]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[5,1,1]
[5,6,2,1,4,3,7]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[5,2]
[5,6,2,1,4,7,3]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[5,1,1]
[5,6,2,1,7,3,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[5,6,2,1,7,4,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[5,6,2,3,1,4,7]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[5,1,1]
[5,6,2,3,1,7,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[5,6,2,3,4,1,7]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[5,6,2,3,4,7,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[6,1]
[5,6,2,3,7,1,4]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[5,2]
[5,6,2,3,7,4,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[6,1]
[5,6,2,4,1,3,7]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[5,1,1]
[5,6,2,4,1,7,3]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[5,1,1]
[5,6,2,4,3,1,7]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[5,1,1]
[5,6,2,4,3,7,1]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[5,2]
[5,6,2,4,7,1,3]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[5,2]
[5,6,2,4,7,3,1]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[5,1,1]
[5,6,2,7,1,3,4]=>[1,3,4,2,7,5,6]=>[1,4,3,2,7,5,6]=>[4,2,1]
[5,6,2,7,1,4,3]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[5,2]
[5,6,2,7,3,1,4]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[5,2]
[5,6,2,7,3,4,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[5,6,2,7,4,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[5,2]
[5,6,2,7,4,3,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[5,6,3,1,2,4,7]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[5,1,1]
[5,6,3,1,2,7,4]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[5,6,3,1,4,2,7]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[5,2]
[5,6,3,1,4,7,2]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[5,1,1]
[5,6,3,1,7,2,4]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[5,1,1]
[5,6,3,1,7,4,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[5,6,3,2,1,4,7]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[5,1,1]
[5,6,3,2,1,7,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[5,6,3,2,4,1,7]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[5,1,1]
[5,6,3,2,4,7,1]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[5,1,1]
[5,6,3,2,7,1,4]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[5,2]
[5,6,3,2,7,4,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[5,6,3,4,1,2,7]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[5,6,3,4,1,7,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[5,6,3,4,2,1,7]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[5,6,3,4,2,7,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[5,6,3,4,7,1,2]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[6,1]
[5,6,3,4,7,2,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[6,1]
[5,6,3,7,1,2,4]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[5,2]
[5,6,3,7,1,4,2]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[5,2]
[5,6,3,7,2,1,4]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[5,2]
[5,6,3,7,2,4,1]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[5,2]
[5,6,3,7,4,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[6,1]
[5,6,3,7,4,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[6,1]
[5,6,4,1,2,3,7]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[6,1]
[5,6,4,1,2,7,3]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[5,6,4,1,3,2,7]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[5,2]
[5,6,4,1,3,7,2]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[5,1,1]
[5,6,4,1,7,2,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[5,6,4,1,7,3,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[5,6,4,2,1,3,7]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[5,1,1]
[5,6,4,2,1,7,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[5,6,4,2,3,1,7]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[5,6,4,2,3,7,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[6,1]
[5,6,4,2,7,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[5,2]
[5,6,4,2,7,3,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[5,6,4,3,1,2,7]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[5,6,4,3,1,7,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[5,6,4,3,2,1,7]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[5,6,4,3,2,7,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[5,6,4,3,7,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[6,1]
[5,6,4,3,7,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[6,1]
[5,6,4,7,1,2,3]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[6,1]
[5,6,4,7,1,3,2]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[5,2]
[5,6,4,7,2,1,3]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[5,2]
[5,6,4,7,2,3,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[6,1]
[5,6,4,7,3,1,2]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[6,1]
[5,6,4,7,3,2,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[6,1]
[5,6,7,1,2,3,4]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7]
[5,6,7,1,2,4,3]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[6,1]
[5,6,7,1,3,2,4]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[6,1]
[5,6,7,1,3,4,2]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[5,1,1]
[5,6,7,1,4,2,3]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[6,1]
[5,6,7,1,4,3,2]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[6,1]
[5,6,7,2,1,3,4]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[5,1,1]
[5,6,7,2,1,4,3]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[6,1]
[5,6,7,2,3,1,4]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[6,1]
[5,6,7,2,3,4,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7]
[5,6,7,2,4,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[6,1]
[5,6,7,2,4,3,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[6,1]
[5,6,7,3,1,2,4]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[6,1]
[5,6,7,3,1,4,2]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[6,1]
[5,6,7,3,2,1,4]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[6,1]
[5,6,7,3,2,4,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[6,1]
[5,6,7,3,4,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7]
[5,6,7,3,4,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7]
[5,6,7,4,1,2,3]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7]
[5,6,7,4,1,3,2]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[6,1]
[5,6,7,4,2,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[6,1]
[5,6,7,4,2,3,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7]
[5,6,7,4,3,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7]
[5,6,7,4,3,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7]
[5,7,1,2,3,4,6]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[6,1]
[5,7,1,2,3,6,4]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[6,1]
[5,7,1,2,4,3,6]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[5,2]
[5,7,1,2,4,6,3]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>[5,1,1]
[5,7,1,2,6,3,4]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[6,1]
[5,7,1,2,6,4,3]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[6,1]
[5,7,1,3,2,4,6]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[5,2]
[5,7,1,3,2,6,4]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[5,2]
[5,7,1,3,4,2,6]=>[1,3,4,2,6,5,7]=>[1,4,3,2,6,5,7]=>[4,2,1]
[5,7,1,3,4,6,2]=>[1,3,4,6,2,5,7]=>[1,6,3,4,2,5,7]=>[5,1,1]
[5,7,1,3,6,2,4]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[5,1,1]
[5,7,1,3,6,4,2]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[5,1,1]
[5,7,1,4,2,3,6]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[5,2]
[5,7,1,4,2,6,3]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[5,2]
[5,7,1,4,3,2,6]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[5,2]
[5,7,1,4,3,6,2]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[5,2]
[5,7,1,4,6,2,3]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[5,1,1]
[5,7,1,4,6,3,2]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[5,1,1]
[5,7,1,6,2,3,4]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[5,7,1,6,2,4,3]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[5,1,1]
[5,7,1,6,3,2,4]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[5,1,1]
[5,7,1,6,3,4,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[5,7,1,6,4,2,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[5,7,1,6,4,3,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[5,7,2,1,3,4,6]=>[1,3,4,6,2,5,7]=>[1,6,3,4,2,5,7]=>[5,1,1]
[5,7,2,1,3,6,4]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[5,1,1]
[5,7,2,1,4,3,6]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[5,2]
[5,7,2,1,4,6,3]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[5,1,1]
[5,7,2,1,6,3,4]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[5,7,2,1,6,4,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[5,7,2,3,1,4,6]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[5,1,1]
[5,7,2,3,1,6,4]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[5,7,2,3,4,1,6]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[5,7,2,3,4,6,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[6,1]
[5,7,2,3,6,1,4]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[5,2]
[5,7,2,3,6,4,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[6,1]
[5,7,2,4,1,3,6]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[5,1,1]
[5,7,2,4,1,6,3]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[5,1,1]
[5,7,2,4,3,1,6]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[5,1,1]
[5,7,2,4,3,6,1]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[5,2]
[5,7,2,4,6,1,3]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[5,2]
[5,7,2,4,6,3,1]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>[5,1,1]
[5,7,2,6,1,3,4]=>[1,3,4,2,6,5,7]=>[1,4,3,2,6,5,7]=>[4,2,1]
[5,7,2,6,1,4,3]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[5,2]
[5,7,2,6,3,1,4]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[5,2]
[5,7,2,6,3,4,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[6,1]
[5,7,2,6,4,1,3]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[5,2]
[5,7,2,6,4,3,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[6,1]
[5,7,3,1,2,4,6]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>[5,1,1]
[5,7,3,1,2,6,4]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[6,1]
[5,7,3,1,4,2,6]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[5,2]
[5,7,3,1,4,6,2]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[5,1,1]
[5,7,3,1,6,2,4]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[5,1,1]
[5,7,3,1,6,4,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[5,7,3,2,1,4,6]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[5,1,1]
[5,7,3,2,1,6,4]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[5,7,3,2,4,1,6]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[5,1,1]
[5,7,3,2,4,6,1]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>[5,1,1]
[5,7,3,2,6,1,4]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[5,2]
[5,7,3,2,6,4,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[6,1]
[5,7,3,4,1,2,6]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[6,1]
[5,7,3,4,1,6,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[5,7,3,4,2,1,6]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[5,7,3,4,2,6,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[6,1]
[5,7,3,4,6,1,2]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[6,1]
[5,7,3,4,6,2,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[6,1]
[5,7,3,6,1,2,4]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[5,2]
[5,7,3,6,1,4,2]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[5,2]
[5,7,3,6,2,1,4]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[5,2]
[5,7,3,6,2,4,1]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[5,2]
[5,7,3,6,4,1,2]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[6,1]
[5,7,3,6,4,2,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[6,1]
[5,7,4,1,2,3,6]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[6,1]
[5,7,4,1,2,6,3]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[6,1]
[5,7,4,1,3,2,6]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[5,2]
[5,7,4,1,3,6,2]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[5,1,1]
[5,7,4,1,6,2,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[5,7,4,1,6,3,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[5,7,4,2,1,3,6]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[5,1,1]
[5,7,4,2,1,6,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[5,7,4,2,3,1,6]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[5,7,4,2,3,6,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[6,1]
[5,7,4,2,6,1,3]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[5,2]
[5,7,4,2,6,3,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[6,1]
[5,7,4,3,1,2,6]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[6,1]
[5,7,4,3,1,6,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[5,7,4,3,2,1,6]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[5,7,4,3,2,6,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[6,1]
[5,7,4,3,6,1,2]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[6,1]
[5,7,4,3,6,2,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[6,1]
[5,7,4,6,1,2,3]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[6,1]
[5,7,4,6,1,3,2]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[5,2]
[5,7,4,6,2,1,3]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[5,2]
[5,7,4,6,2,3,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[6,1]
[5,7,4,6,3,1,2]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[6,1]
[5,7,4,6,3,2,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[6,1]
[5,7,6,1,2,3,4]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[6,1]
[5,7,6,1,2,4,3]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[5,2]
[5,7,6,1,3,2,4]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[5,2]
[5,7,6,1,3,4,2]=>[1,3,4,2,5,7,6]=>[1,4,3,2,5,7,6]=>[4,2,1]
[5,7,6,1,4,2,3]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[5,2]
[5,7,6,1,4,3,2]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[5,2]
[5,7,6,2,1,3,4]=>[1,3,4,2,5,7,6]=>[1,4,3,2,5,7,6]=>[4,2,1]
[5,7,6,2,1,4,3]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[5,2]
[5,7,6,2,3,1,4]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[5,2]
[5,7,6,2,3,4,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[6,1]
[5,7,6,2,4,1,3]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[5,2]
[5,7,6,2,4,3,1]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[5,2]
[5,7,6,3,1,2,4]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[5,2]
[5,7,6,3,1,4,2]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[5,2]
[5,7,6,3,2,1,4]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[5,2]
[5,7,6,3,2,4,1]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[5,2]
[5,7,6,3,4,1,2]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[6,1]
[5,7,6,3,4,2,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[6,1]
[5,7,6,4,1,2,3]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[6,1]
[5,7,6,4,1,3,2]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[5,2]
[5,7,6,4,2,1,3]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[5,2]
[5,7,6,4,2,3,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[6,1]
[5,7,6,4,3,1,2]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[6,1]
[5,7,6,4,3,2,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[6,1]
[6,1,2,3,4,5,7]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[6,1]
[6,1,2,3,4,7,5]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[6,1]
[6,1,2,3,5,4,7]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[5,2]
[6,1,2,3,5,7,4]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>[5,1,1]
[6,1,2,3,7,4,5]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[6,1]
[6,1,2,3,7,5,4]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[6,1]
[6,1,2,4,3,5,7]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[5,2]
[6,1,2,4,3,7,5]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[5,2]
[6,1,2,4,5,3,7]=>[1,2,4,5,3,7,6]=>[1,2,5,4,3,7,6]=>[4,2,1]
[6,1,2,4,5,7,3]=>[1,2,4,5,7,3,6]=>[1,2,7,4,5,3,6]=>[5,1,1]
[6,1,2,4,7,3,5]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[5,1,1]
[6,1,2,4,7,5,3]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[5,1,1]
[6,1,2,5,3,4,7]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>[5,2]
[6,1,2,5,3,7,4]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[5,2]
[6,1,2,5,4,3,7]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[5,2]
[6,1,2,5,4,7,3]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>[5,2]
[6,1,2,5,7,3,4]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[5,1,1]
[6,1,2,5,7,4,3]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[5,1,1]
[6,1,2,7,3,4,5]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[6,1,2,7,3,5,4]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[5,1,1]
[6,1,2,7,4,3,5]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[5,1,1]
[6,1,2,7,4,5,3]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[6,1,2,7,5,3,4]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[6,1,2,7,5,4,3]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[6,1,3,2,4,5,7]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[5,2]
[6,1,3,2,4,7,5]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[5,2]
[6,1,3,2,5,4,7]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[4,3]
[6,1,3,2,5,7,4]=>[1,3,2,5,7,4,6]=>[1,3,2,7,5,4,6]=>[4,2,1]
[6,1,3,2,7,4,5]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[5,2]
[6,1,3,2,7,5,4]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[5,2]
[6,1,3,4,2,5,7]=>[1,3,4,2,5,7,6]=>[1,4,3,2,5,7,6]=>[4,2,1]
[6,1,3,4,2,7,5]=>[1,3,4,2,7,5,6]=>[1,4,3,2,7,5,6]=>[4,2,1]
[6,1,3,4,5,2,7]=>[1,3,4,5,2,7,6]=>[1,5,3,4,2,7,6]=>[4,2,1]
[6,1,3,4,5,7,2]=>[1,3,4,5,7,2,6]=>[1,7,3,4,5,2,6]=>[5,1,1]
[6,1,3,4,7,2,5]=>[1,3,4,7,2,5,6]=>[1,7,3,4,2,5,6]=>[5,1,1]
[6,1,3,4,7,5,2]=>[1,3,4,7,2,5,6]=>[1,7,3,4,2,5,6]=>[5,1,1]
[6,1,3,5,2,4,7]=>[1,3,5,2,4,7,6]=>[1,5,3,2,4,7,6]=>[4,2,1]
[6,1,3,5,2,7,4]=>[1,3,5,2,7,4,6]=>[1,5,3,7,2,4,6]=>[4,2,1]
[6,1,3,5,4,2,7]=>[1,3,5,2,7,4,6]=>[1,5,3,7,2,4,6]=>[4,2,1]
[6,1,3,5,4,7,2]=>[1,3,5,2,4,7,6]=>[1,5,3,2,4,7,6]=>[4,2,1]
[6,1,3,5,7,2,4]=>[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]=>[4,2,1]
[6,1,3,5,7,4,2]=>[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]=>[4,2,1]
[6,1,3,7,2,4,5]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[5,1,1]
[6,1,3,7,2,5,4]=>[1,3,7,2,5,4,6]=>[1,7,3,5,2,4,6]=>[4,2,1]
[6,1,3,7,4,2,5]=>[1,3,7,2,5,4,6]=>[1,7,3,5,2,4,6]=>[4,2,1]
[6,1,3,7,4,5,2]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[5,1,1]
[6,1,3,7,5,2,4]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[5,1,1]
[6,1,3,7,5,4,2]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[5,1,1]
[6,1,4,2,3,5,7]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[5,2]
[6,1,4,2,3,7,5]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[5,2]
[6,1,4,2,5,3,7]=>[1,4,2,5,3,7,6]=>[1,4,5,2,3,7,6]=>[4,3]
[6,1,4,2,5,7,3]=>[1,4,2,5,7,3,6]=>[1,4,7,2,5,3,6]=>[4,2,1]
[6,1,4,2,7,3,5]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[5,2]
[6,1,4,2,7,5,3]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[5,2]
[6,1,4,3,2,5,7]=>[1,4,2,5,7,3,6]=>[1,4,7,2,5,3,6]=>[4,2,1]
[6,1,4,3,2,7,5]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[5,2]
[6,1,4,3,5,2,7]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[5,2]
[6,1,4,3,5,7,2]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[5,2]
[6,1,4,3,7,2,5]=>[1,4,2,5,3,7,6]=>[1,4,5,2,3,7,6]=>[4,3]
[6,1,4,3,7,5,2]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[5,2]
[6,1,4,5,2,3,7]=>[1,4,5,2,3,7,6]=>[1,5,2,4,3,7,6]=>[4,2,1]
[6,1,4,5,2,7,3]=>[1,4,5,2,7,3,6]=>[1,5,7,4,2,3,6]=>[4,2,1]
[6,1,4,5,3,2,7]=>[1,4,5,2,7,3,6]=>[1,5,7,4,2,3,6]=>[4,2,1]
[6,1,4,5,3,7,2]=>[1,4,5,2,3,7,6]=>[1,5,2,4,3,7,6]=>[4,2,1]
[6,1,4,5,7,2,3]=>[1,4,5,7,2,3,6]=>[1,7,2,4,5,3,6]=>[5,1,1]
[6,1,4,5,7,3,2]=>[1,4,5,7,2,3,6]=>[1,7,2,4,5,3,6]=>[5,1,1]
[6,1,4,7,2,3,5]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[5,1,1]
[6,1,4,7,2,5,3]=>[1,4,7,2,5,3,6]=>[1,7,5,4,2,3,6]=>[4,1,1,1]
[6,1,4,7,3,2,5]=>[1,4,7,2,5,3,6]=>[1,7,5,4,2,3,6]=>[4,1,1,1]
[6,1,4,7,3,5,2]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[5,1,1]
[6,1,4,7,5,2,3]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[5,1,1]
[6,1,4,7,5,3,2]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[5,1,1]
[6,1,5,2,3,4,7]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[5,2]
[6,1,5,2,3,7,4]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[5,2]
[6,1,5,2,4,3,7]=>[1,5,2,4,3,7,6]=>[1,5,4,2,3,7,6]=>[4,2,1]
[6,1,5,2,4,7,3]=>[1,5,2,4,7,3,6]=>[1,5,7,2,4,3,6]=>[4,2,1]
[6,1,5,2,7,3,4]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[4,2,1]
[6,1,5,2,7,4,3]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[4,2,1]
[6,1,5,3,2,4,7]=>[1,5,2,4,7,3,6]=>[1,5,7,2,4,3,6]=>[4,2,1]
[6,1,5,3,2,7,4]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[4,2,1]
[6,1,5,3,4,2,7]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[4,2,1]
[6,1,5,3,4,7,2]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[5,2]
[6,1,5,3,7,2,4]=>[1,5,2,4,3,7,6]=>[1,5,4,2,3,7,6]=>[4,2,1]
[6,1,5,3,7,4,2]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[5,2]
[6,1,5,4,2,3,7]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[5,2]
[6,1,5,4,2,7,3]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[4,2,1]
[6,1,5,4,3,2,7]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[4,2,1]
[6,1,5,4,3,7,2]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[5,2]
[6,1,5,4,7,2,3]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[5,2]
[6,1,5,4,7,3,2]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[5,2]
[6,1,5,7,2,3,4]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[5,1,1]
[6,1,5,7,2,4,3]=>[1,5,7,2,4,3,6]=>[1,7,4,2,5,3,6]=>[4,2,1]
[6,1,5,7,3,2,4]=>[1,5,7,2,4,3,6]=>[1,7,4,2,5,3,6]=>[4,2,1]
[6,1,5,7,3,4,2]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[5,1,1]
[6,1,5,7,4,2,3]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[5,1,1]
[6,1,5,7,4,3,2]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[5,1,1]
[6,1,7,2,3,4,5]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[6,1,7,2,3,5,4]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[5,1,1]
[6,1,7,2,4,3,5]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[5,1,1]
[6,1,7,2,4,5,3]=>[1,7,2,4,5,3,6]=>[1,7,5,2,4,3,6]=>[4,1,1,1]
[6,1,7,2,5,3,4]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[4,1,1,1]
[6,1,7,2,5,4,3]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[4,1,1,1]
[6,1,7,3,2,4,5]=>[1,7,2,4,5,3,6]=>[1,7,5,2,4,3,6]=>[4,1,1,1]
[6,1,7,3,2,5,4]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[4,1,1,1]
[6,1,7,3,4,2,5]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[4,1,1,1]
[6,1,7,3,4,5,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[6,1,7,3,5,2,4]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[5,1,1]
[6,1,7,3,5,4,2]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[5,1,1]
[6,1,7,4,2,3,5]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[5,1,1]
[6,1,7,4,2,5,3]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[4,1,1,1]
[6,1,7,4,3,2,5]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[4,1,1,1]
[6,1,7,4,3,5,2]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[5,1,1]
[6,1,7,4,5,2,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[6,1,7,4,5,3,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[6,1,7,5,2,3,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[6,1,7,5,2,4,3]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[5,1,1]
[6,1,7,5,3,2,4]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[5,1,1]
[6,1,7,5,3,4,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[6,1,7,5,4,2,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[6,1,7,5,4,3,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[6,2,1,3,4,5,7]=>[1,3,4,5,7,2,6]=>[1,7,3,4,5,2,6]=>[5,1,1]
[6,2,1,3,4,7,5]=>[1,3,4,7,2,5,6]=>[1,7,3,4,2,5,6]=>[5,1,1]
[6,2,1,3,5,4,7]=>[1,3,5,2,4,7,6]=>[1,5,3,2,4,7,6]=>[4,2,1]
[6,2,1,3,5,7,4]=>[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]=>[4,2,1]
[6,2,1,3,7,4,5]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[5,1,1]
[6,2,1,3,7,5,4]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[5,1,1]
[6,2,1,4,3,5,7]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[5,2]
[6,2,1,4,3,7,5]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[5,2]
[6,2,1,4,5,3,7]=>[1,4,5,2,3,7,6]=>[1,5,2,4,3,7,6]=>[4,2,1]
[6,2,1,4,5,7,3]=>[1,4,5,7,2,3,6]=>[1,7,2,4,5,3,6]=>[5,1,1]
[6,2,1,4,7,3,5]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[5,1,1]
[6,2,1,4,7,5,3]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[5,1,1]
[6,2,1,5,3,4,7]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[5,2]
[6,2,1,5,3,7,4]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[5,2]
[6,2,1,5,4,3,7]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[5,2]
[6,2,1,5,4,7,3]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[5,2]
[6,2,1,5,7,3,4]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[5,1,1]
[6,2,1,5,7,4,3]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[5,1,1]
[6,2,1,7,3,4,5]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[6,2,1,7,3,5,4]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[5,1,1]
[6,2,1,7,4,3,5]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[5,1,1]
[6,2,1,7,4,5,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[6,2,1,7,5,3,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[6,2,1,7,5,4,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[6,2,3,1,4,5,7]=>[1,4,5,7,2,3,6]=>[1,7,2,4,5,3,6]=>[5,1,1]
[6,2,3,1,4,7,5]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[5,1,1]
[6,2,3,1,5,4,7]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[5,2]
[6,2,3,1,5,7,4]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[5,1,1]
[6,2,3,1,7,4,5]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[6,2,3,1,7,5,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[6,2,3,4,1,5,7]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[5,1,1]
[6,2,3,4,1,7,5]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[6,2,3,4,5,1,7]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[6,2,3,4,5,7,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[6,1]
[6,2,3,4,7,1,5]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[5,2]
[6,2,3,4,7,5,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[6,1]
[6,2,3,5,1,4,7]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[5,1,1]
[6,2,3,5,1,7,4]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[5,1,1]
[6,2,3,5,4,1,7]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[5,1,1]
[6,2,3,5,4,7,1]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[5,2]
[6,2,3,5,7,1,4]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[5,2]
[6,2,3,5,7,4,1]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>[5,1,1]
[6,2,3,7,1,4,5]=>[1,4,5,2,3,7,6]=>[1,5,2,4,3,7,6]=>[4,2,1]
[6,2,3,7,1,5,4]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[5,2]
[6,2,3,7,4,1,5]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[5,2]
[6,2,3,7,4,5,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[6,1]
[6,2,3,7,5,1,4]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[5,2]
[6,2,3,7,5,4,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[6,1]
[6,2,4,1,3,5,7]=>[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]=>[4,2,1]
[6,2,4,1,3,7,5]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[5,1,1]
[6,2,4,1,5,3,7]=>[1,5,2,4,3,7,6]=>[1,5,4,2,3,7,6]=>[4,2,1]
[6,2,4,1,5,7,3]=>[1,5,7,2,4,3,6]=>[1,7,4,2,5,3,6]=>[4,2,1]
[6,2,4,1,7,3,5]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[5,1,1]
[6,2,4,1,7,5,3]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[5,1,1]
[6,2,4,3,1,5,7]=>[1,5,7,2,4,3,6]=>[1,7,4,2,5,3,6]=>[4,2,1]
[6,2,4,3,1,7,5]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[5,1,1]
[6,2,4,3,5,1,7]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[5,1,1]
[6,2,4,3,5,7,1]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[5,2]
[6,2,4,3,7,1,5]=>[1,5,2,4,3,7,6]=>[1,5,4,2,3,7,6]=>[4,2,1]
[6,2,4,3,7,5,1]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[5,2]
[6,2,4,5,1,3,7]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[5,1,1]
[6,2,4,5,1,7,3]=>[1,7,2,4,5,3,6]=>[1,7,5,2,4,3,6]=>[4,1,1,1]
[6,2,4,5,3,1,7]=>[1,7,2,4,5,3,6]=>[1,7,5,2,4,3,6]=>[4,1,1,1]
[6,2,4,5,3,7,1]=>[1,2,4,5,3,7,6]=>[1,2,5,4,3,7,6]=>[4,2,1]
[6,2,4,5,7,1,3]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[5,2]
[6,2,4,5,7,3,1]=>[1,2,4,5,7,3,6]=>[1,2,7,4,5,3,6]=>[5,1,1]
[6,2,4,7,1,3,5]=>[1,3,5,2,4,7,6]=>[1,5,3,2,4,7,6]=>[4,2,1]
[6,2,4,7,1,5,3]=>[1,5,2,4,7,3,6]=>[1,5,7,2,4,3,6]=>[4,2,1]
[6,2,4,7,3,1,5]=>[1,5,2,4,7,3,6]=>[1,5,7,2,4,3,6]=>[4,2,1]
[6,2,4,7,3,5,1]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[5,1,1]
[6,2,4,7,5,1,3]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[5,2]
[6,2,4,7,5,3,1]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[5,1,1]
[6,2,5,1,3,4,7]=>[1,3,4,7,2,5,6]=>[1,7,3,4,2,5,6]=>[5,1,1]
[6,2,5,1,3,7,4]=>[1,3,7,2,5,4,6]=>[1,7,3,5,2,4,6]=>[4,2,1]
[6,2,5,1,4,3,7]=>[1,4,2,5,3,7,6]=>[1,4,5,2,3,7,6]=>[4,3]
[6,2,5,1,4,7,3]=>[1,4,7,2,5,3,6]=>[1,7,5,4,2,3,6]=>[4,1,1,1]
[6,2,5,1,7,3,4]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[4,1,1,1]
[6,2,5,1,7,4,3]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[4,1,1,1]
[6,2,5,3,1,4,7]=>[1,4,7,2,5,3,6]=>[1,7,5,4,2,3,6]=>[4,1,1,1]
[6,2,5,3,1,7,4]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[4,1,1,1]
[6,2,5,3,4,1,7]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[4,1,1,1]
[6,2,5,3,4,7,1]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>[5,2]
[6,2,5,3,7,1,4]=>[1,4,2,5,3,7,6]=>[1,4,5,2,3,7,6]=>[4,3]
[6,2,5,3,7,4,1]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[5,2]
[6,2,5,4,1,3,7]=>[1,3,7,2,5,4,6]=>[1,7,3,5,2,4,6]=>[4,2,1]
[6,2,5,4,1,7,3]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[4,1,1,1]
[6,2,5,4,3,1,7]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[4,1,1,1]
[6,2,5,4,3,7,1]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[5,2]
[6,2,5,4,7,1,3]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[4,3]
[6,2,5,4,7,3,1]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>[5,2]
[6,2,5,7,1,3,4]=>[1,3,4,2,5,7,6]=>[1,4,3,2,5,7,6]=>[4,2,1]
[6,2,5,7,1,4,3]=>[1,4,2,5,7,3,6]=>[1,4,7,2,5,3,6]=>[4,2,1]
[6,2,5,7,3,1,4]=>[1,4,2,5,7,3,6]=>[1,4,7,2,5,3,6]=>[4,2,1]
[6,2,5,7,3,4,1]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[5,1,1]
[6,2,5,7,4,1,3]=>[1,3,2,5,7,4,6]=>[1,3,2,7,5,4,6]=>[4,2,1]
[6,2,5,7,4,3,1]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[5,1,1]
[6,2,7,1,3,4,5]=>[1,3,4,5,2,7,6]=>[1,5,3,4,2,7,6]=>[4,2,1]
[6,2,7,1,3,5,4]=>[1,3,5,2,7,4,6]=>[1,5,3,7,2,4,6]=>[4,2,1]
[6,2,7,1,4,3,5]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[5,2]
[6,2,7,1,4,5,3]=>[1,4,5,2,7,3,6]=>[1,5,7,4,2,3,6]=>[4,2,1]
[6,2,7,1,5,3,4]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[4,2,1]
[6,2,7,1,5,4,3]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[4,2,1]
[6,2,7,3,1,4,5]=>[1,4,5,2,7,3,6]=>[1,5,7,4,2,3,6]=>[4,2,1]
[6,2,7,3,1,5,4]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[4,2,1]
[6,2,7,3,4,1,5]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[4,2,1]
[6,2,7,3,4,5,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[6,2,7,3,5,1,4]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[5,2]
[6,2,7,3,5,4,1]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[5,1,1]
[6,2,7,4,1,3,5]=>[1,3,5,2,7,4,6]=>[1,5,3,7,2,4,6]=>[4,2,1]
[6,2,7,4,1,5,3]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[4,2,1]
[6,2,7,4,3,1,5]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[4,2,1]
[6,2,7,4,3,5,1]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[5,1,1]
[6,2,7,4,5,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[5,2]
[6,2,7,4,5,3,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[6,2,7,5,1,3,4]=>[1,3,4,2,7,5,6]=>[1,4,3,2,7,5,6]=>[4,2,1]
[6,2,7,5,1,4,3]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[5,2]
[6,2,7,5,3,1,4]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[5,2]
[6,2,7,5,3,4,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[6,2,7,5,4,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[5,2]
[6,2,7,5,4,3,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[6,3,1,2,4,5,7]=>[1,2,4,5,7,3,6]=>[1,2,7,4,5,3,6]=>[5,1,1]
[6,3,1,2,4,7,5]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[5,1,1]
[6,3,1,2,5,4,7]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>[5,2]
[6,3,1,2,5,7,4]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[5,1,1]
[6,3,1,2,7,4,5]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[6,3,1,2,7,5,4]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[6,3,1,4,2,5,7]=>[1,4,2,5,7,3,6]=>[1,4,7,2,5,3,6]=>[4,2,1]
[6,3,1,4,2,7,5]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[5,2]
[6,3,1,4,5,2,7]=>[1,4,5,2,7,3,6]=>[1,5,7,4,2,3,6]=>[4,2,1]
[6,3,1,4,5,7,2]=>[1,4,5,7,2,3,6]=>[1,7,2,4,5,3,6]=>[5,1,1]
[6,3,1,4,7,2,5]=>[1,4,7,2,5,3,6]=>[1,7,5,4,2,3,6]=>[4,1,1,1]
[6,3,1,4,7,5,2]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[5,1,1]
[6,3,1,5,2,4,7]=>[1,5,2,4,7,3,6]=>[1,5,7,2,4,3,6]=>[4,2,1]
[6,3,1,5,2,7,4]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[4,2,1]
[6,3,1,5,4,2,7]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[4,2,1]
[6,3,1,5,4,7,2]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[5,2]
[6,3,1,5,7,2,4]=>[1,5,7,2,4,3,6]=>[1,7,4,2,5,3,6]=>[4,2,1]
[6,3,1,5,7,4,2]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[5,1,1]
[6,3,1,7,2,4,5]=>[1,7,2,4,5,3,6]=>[1,7,5,2,4,3,6]=>[4,1,1,1]
[6,3,1,7,2,5,4]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[4,1,1,1]
[6,3,1,7,4,2,5]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[4,1,1,1]
[6,3,1,7,4,5,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[6,3,1,7,5,2,4]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[5,1,1]
[6,3,1,7,5,4,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[6,3,2,1,4,5,7]=>[1,4,5,7,2,3,6]=>[1,7,2,4,5,3,6]=>[5,1,1]
[6,3,2,1,4,7,5]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[5,1,1]
[6,3,2,1,5,4,7]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[5,2]
[6,3,2,1,5,7,4]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[5,1,1]
[6,3,2,1,7,4,5]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[6,3,2,1,7,5,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[6,3,2,4,1,5,7]=>[1,5,7,2,4,3,6]=>[1,7,4,2,5,3,6]=>[4,2,1]
[6,3,2,4,1,7,5]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[5,1,1]
[6,3,2,4,5,1,7]=>[1,7,2,4,5,3,6]=>[1,7,5,2,4,3,6]=>[4,1,1,1]
[6,3,2,4,5,7,1]=>[1,2,4,5,7,3,6]=>[1,2,7,4,5,3,6]=>[5,1,1]
[6,3,2,4,7,1,5]=>[1,5,2,4,7,3,6]=>[1,5,7,2,4,3,6]=>[4,2,1]
[6,3,2,4,7,5,1]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[5,1,1]
[6,3,2,5,1,4,7]=>[1,4,7,2,5,3,6]=>[1,7,5,4,2,3,6]=>[4,1,1,1]
[6,3,2,5,1,7,4]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[4,1,1,1]
[6,3,2,5,4,1,7]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[4,1,1,1]
[6,3,2,5,4,7,1]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>[5,2]
[6,3,2,5,7,1,4]=>[1,4,2,5,7,3,6]=>[1,4,7,2,5,3,6]=>[4,2,1]
[6,3,2,5,7,4,1]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[5,1,1]
[6,3,2,7,1,4,5]=>[1,4,5,2,7,3,6]=>[1,5,7,4,2,3,6]=>[4,2,1]
[6,3,2,7,1,5,4]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[4,2,1]
[6,3,2,7,4,1,5]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[4,2,1]
[6,3,2,7,4,5,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[6,3,2,7,5,1,4]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[5,2]
[6,3,2,7,5,4,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[6,3,4,1,2,5,7]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[5,1,1]
[6,3,4,1,2,7,5]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[6,3,4,1,5,2,7]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[4,2,1]
[6,3,4,1,5,7,2]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[5,1,1]
[6,3,4,1,7,2,5]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[4,1,1,1]
[6,3,4,1,7,5,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[6,3,4,2,1,5,7]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[5,1,1]
[6,3,4,2,1,7,5]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[6,3,4,2,5,1,7]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[4,1,1,1]
[6,3,4,2,5,7,1]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[5,1,1]
[6,3,4,2,7,1,5]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[4,2,1]
[6,3,4,2,7,5,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[6,3,4,5,1,2,7]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[6,3,4,5,1,7,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[6,3,4,5,2,1,7]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[6,3,4,5,2,7,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[6,3,4,5,7,1,2]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[6,1]
[6,3,4,5,7,2,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[6,1]
[6,3,4,7,1,2,5]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>[5,2]
[6,3,4,7,1,5,2]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[5,2]
[6,3,4,7,2,1,5]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[5,2]
[6,3,4,7,2,5,1]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>[5,2]
[6,3,4,7,5,1,2]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[6,1]
[6,3,4,7,5,2,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[6,1]
[6,3,5,1,2,4,7]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[5,1,1]
[6,3,5,1,2,7,4]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[5,1,1]
[6,3,5,1,4,2,7]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[5,2]
[6,3,5,1,4,7,2]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[5,1,1]
[6,3,5,1,7,2,4]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[5,1,1]
[6,3,5,1,7,4,2]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[5,1,1]
[6,3,5,2,1,4,7]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[5,1,1]
[6,3,5,2,1,7,4]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[5,1,1]
[6,3,5,2,4,1,7]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[5,1,1]
[6,3,5,2,4,7,1]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[5,1,1]
[6,3,5,2,7,1,4]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[5,2]
[6,3,5,2,7,4,1]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[5,1,1]
[6,3,5,4,1,2,7]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[5,1,1]
[6,3,5,4,1,7,2]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[5,1,1]
[6,3,5,4,2,1,7]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[5,1,1]
[6,3,5,4,2,7,1]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[5,1,1]
[6,3,5,4,7,1,2]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[5,2]
[6,3,5,4,7,2,1]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[5,2]
[6,3,5,7,1,2,4]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[5,2]
[6,3,5,7,1,4,2]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[5,2]
[6,3,5,7,2,1,4]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[5,2]
[6,3,5,7,2,4,1]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[5,2]
[6,3,5,7,4,1,2]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>[5,1,1]
[6,3,5,7,4,2,1]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>[5,1,1]
[6,3,7,1,2,4,5]=>[1,2,4,5,3,7,6]=>[1,2,5,4,3,7,6]=>[4,2,1]
[6,3,7,1,2,5,4]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[5,2]
[6,3,7,1,4,2,5]=>[1,4,2,5,3,7,6]=>[1,4,5,2,3,7,6]=>[4,3]
[6,3,7,1,4,5,2]=>[1,4,5,2,3,7,6]=>[1,5,2,4,3,7,6]=>[4,2,1]
[6,3,7,1,5,2,4]=>[1,5,2,4,3,7,6]=>[1,5,4,2,3,7,6]=>[4,2,1]
[6,3,7,1,5,4,2]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[5,2]
[6,3,7,2,1,4,5]=>[1,4,5,2,3,7,6]=>[1,5,2,4,3,7,6]=>[4,2,1]
[6,3,7,2,1,5,4]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[5,2]
[6,3,7,2,4,1,5]=>[1,5,2,4,3,7,6]=>[1,5,4,2,3,7,6]=>[4,2,1]
[6,3,7,2,4,5,1]=>[1,2,4,5,3,7,6]=>[1,2,5,4,3,7,6]=>[4,2,1]
[6,3,7,2,5,1,4]=>[1,4,2,5,3,7,6]=>[1,4,5,2,3,7,6]=>[4,3]
[6,3,7,2,5,4,1]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[5,2]
[6,3,7,4,1,2,5]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[5,2]
[6,3,7,4,1,5,2]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[5,2]
[6,3,7,4,2,1,5]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[5,2]
[6,3,7,4,2,5,1]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[5,2]
[6,3,7,4,5,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[6,1]
[6,3,7,4,5,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[6,1]
[6,3,7,5,1,2,4]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[5,2]
[6,3,7,5,1,4,2]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[5,2]
[6,3,7,5,2,1,4]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[5,2]
[6,3,7,5,2,4,1]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[5,2]
[6,3,7,5,4,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[6,1]
[6,3,7,5,4,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[6,1]
[6,4,1,2,3,5,7]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>[5,1,1]
[6,4,1,2,3,7,5]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[6,1]
[6,4,1,2,5,3,7]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[5,2]
[6,4,1,2,5,7,3]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[5,1,1]
[6,4,1,2,7,3,5]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[5,1,1]
[6,4,1,2,7,5,3]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[6,4,1,3,2,5,7]=>[1,3,2,5,7,4,6]=>[1,3,2,7,5,4,6]=>[4,2,1]
[6,4,1,3,2,7,5]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[5,2]
[6,4,1,3,5,2,7]=>[1,3,5,2,7,4,6]=>[1,5,3,7,2,4,6]=>[4,2,1]
[6,4,1,3,5,7,2]=>[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]=>[4,2,1]
[6,4,1,3,7,2,5]=>[1,3,7,2,5,4,6]=>[1,7,3,5,2,4,6]=>[4,2,1]
[6,4,1,3,7,5,2]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[5,1,1]
[6,4,1,5,2,3,7]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[5,2]
[6,4,1,5,2,7,3]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[4,2,1]
[6,4,1,5,3,2,7]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[4,2,1]
[6,4,1,5,3,7,2]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[5,2]
[6,4,1,5,7,2,3]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[5,1,1]
[6,4,1,5,7,3,2]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[5,1,1]
[6,4,1,7,2,3,5]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[5,1,1]
[6,4,1,7,2,5,3]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[4,1,1,1]
[6,4,1,7,3,2,5]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[4,1,1,1]
[6,4,1,7,3,5,2]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[5,1,1]
[6,4,1,7,5,2,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[6,4,1,7,5,3,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[6,4,2,1,3,5,7]=>[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]=>[4,2,1]
[6,4,2,1,3,7,5]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[5,1,1]
[6,4,2,1,5,3,7]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[5,2]
[6,4,2,1,5,7,3]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[5,1,1]
[6,4,2,1,7,3,5]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[5,1,1]
[6,4,2,1,7,5,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[6,4,2,3,1,5,7]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[5,1,1]
[6,4,2,3,1,7,5]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[6,4,2,3,5,1,7]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[5,1,1]
[6,4,2,3,5,7,1]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>[5,1,1]
[6,4,2,3,7,1,5]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[5,2]
[6,4,2,3,7,5,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[6,1]
[6,4,2,5,1,3,7]=>[1,3,7,2,5,4,6]=>[1,7,3,5,2,4,6]=>[4,2,1]
[6,4,2,5,1,7,3]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[4,1,1,1]
[6,4,2,5,3,1,7]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[4,1,1,1]
[6,4,2,5,3,7,1]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[5,2]
[6,4,2,5,7,1,3]=>[1,3,2,5,7,4,6]=>[1,3,2,7,5,4,6]=>[4,2,1]
[6,4,2,5,7,3,1]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[5,1,1]
[6,4,2,7,1,3,5]=>[1,3,5,2,7,4,6]=>[1,5,3,7,2,4,6]=>[4,2,1]
[6,4,2,7,1,5,3]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[4,2,1]
[6,4,2,7,3,1,5]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[4,2,1]
[6,4,2,7,3,5,1]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[5,1,1]
[6,4,2,7,5,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[5,2]
[6,4,2,7,5,3,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[6,4,3,1,2,5,7]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[5,1,1]
[6,4,3,1,2,7,5]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[6,4,3,1,5,2,7]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[4,2,1]
[6,4,3,1,5,7,2]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[5,1,1]
[6,4,3,1,7,2,5]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[4,1,1,1]
[6,4,3,1,7,5,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[6,4,3,2,1,5,7]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[5,1,1]
[6,4,3,2,1,7,5]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[6,4,3,2,5,1,7]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[4,1,1,1]
[6,4,3,2,5,7,1]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[5,1,1]
[6,4,3,2,7,1,5]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[4,2,1]
[6,4,3,2,7,5,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[6,4,3,5,1,2,7]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[5,1,1]
[6,4,3,5,1,7,2]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[5,1,1]
[6,4,3,5,2,1,7]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[5,1,1]
[6,4,3,5,2,7,1]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[5,1,1]
[6,4,3,5,7,1,2]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>[5,1,1]
[6,4,3,5,7,2,1]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>[5,1,1]
[6,4,3,7,1,2,5]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[5,2]
[6,4,3,7,1,5,2]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[5,2]
[6,4,3,7,2,1,5]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[5,2]
[6,4,3,7,2,5,1]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[5,2]
[6,4,3,7,5,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[6,1]
[6,4,3,7,5,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[6,1]
[6,4,5,1,2,3,7]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[6,1]
[6,4,5,1,2,7,3]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[6,4,5,1,3,2,7]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[5,2]
[6,4,5,1,3,7,2]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[5,1,1]
[6,4,5,1,7,2,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[6,4,5,1,7,3,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[6,4,5,2,1,3,7]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[5,1,1]
[6,4,5,2,1,7,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[6,4,5,2,3,1,7]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[6,4,5,2,3,7,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[6,1]
[6,4,5,2,7,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[5,2]
[6,4,5,2,7,3,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[6,4,5,3,1,2,7]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[6,4,5,3,1,7,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[6,4,5,3,2,1,7]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[6,4,5,3,2,7,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[6,4,5,3,7,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[6,1]
[6,4,5,3,7,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[6,1]
[6,4,5,7,1,2,3]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[6,1]
[6,4,5,7,1,3,2]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[5,2]
[6,4,5,7,2,1,3]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[5,2]
[6,4,5,7,2,3,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[6,1]
[6,4,5,7,3,1,2]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[6,1]
[6,4,5,7,3,2,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[6,1]
[6,4,7,1,2,3,5]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[5,2]
[6,4,7,1,2,5,3]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>[5,2]
[6,4,7,1,3,2,5]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[4,3]
[6,4,7,1,3,5,2]=>[1,3,5,2,4,7,6]=>[1,5,3,2,4,7,6]=>[4,2,1]
[6,4,7,1,5,2,3]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[5,2]
[6,4,7,1,5,3,2]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[5,2]
[6,4,7,2,1,3,5]=>[1,3,5,2,4,7,6]=>[1,5,3,2,4,7,6]=>[4,2,1]
[6,4,7,2,1,5,3]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[5,2]
[6,4,7,2,3,1,5]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[5,2]
[6,4,7,2,3,5,1]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[5,2]
[6,4,7,2,5,1,3]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[4,3]
[6,4,7,2,5,3,1]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>[5,2]
[6,4,7,3,1,2,5]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>[5,2]
[6,4,7,3,1,5,2]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[5,2]
[6,4,7,3,2,1,5]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[5,2]
[6,4,7,3,2,5,1]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>[5,2]
[6,4,7,3,5,1,2]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[5,2]
[6,4,7,3,5,2,1]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[5,2]
[6,4,7,5,1,2,3]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[6,1]
[6,4,7,5,1,3,2]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[5,2]
[6,4,7,5,2,1,3]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[5,2]
[6,4,7,5,2,3,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[6,1]
[6,4,7,5,3,1,2]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[6,1]
[6,4,7,5,3,2,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[6,1]
[6,5,1,2,3,4,7]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[6,1]
[6,5,1,2,3,7,4]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[6,1]
[6,5,1,2,4,3,7]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[5,2]
[6,5,1,2,4,7,3]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[5,1,1]
[6,5,1,2,7,3,4]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[6,5,1,2,7,4,3]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[6,5,1,3,2,4,7]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[5,2]
[6,5,1,3,2,7,4]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[5,2]
[6,5,1,3,4,2,7]=>[1,3,4,2,7,5,6]=>[1,4,3,2,7,5,6]=>[4,2,1]
[6,5,1,3,4,7,2]=>[1,3,4,7,2,5,6]=>[1,7,3,4,2,5,6]=>[5,1,1]
[6,5,1,3,7,2,4]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[5,1,1]
[6,5,1,3,7,4,2]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[5,1,1]
[6,5,1,4,2,3,7]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[5,2]
[6,5,1,4,2,7,3]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[5,2]
[6,5,1,4,3,2,7]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[5,2]
[6,5,1,4,3,7,2]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[5,2]
[6,5,1,4,7,2,3]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[5,1,1]
[6,5,1,4,7,3,2]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[5,1,1]
[6,5,1,7,2,3,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[6,5,1,7,2,4,3]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[5,1,1]
[6,5,1,7,3,2,4]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[5,1,1]
[6,5,1,7,3,4,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[6,5,1,7,4,2,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[6,5,1,7,4,3,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[6,5,2,1,3,4,7]=>[1,3,4,7,2,5,6]=>[1,7,3,4,2,5,6]=>[5,1,1]
[6,5,2,1,3,7,4]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[5,1,1]
[6,5,2,1,4,3,7]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[5,2]
[6,5,2,1,4,7,3]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[5,1,1]
[6,5,2,1,7,3,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[6,5,2,1,7,4,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[6,5,2,3,1,4,7]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[5,1,1]
[6,5,2,3,1,7,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[6,5,2,3,4,1,7]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[6,5,2,3,4,7,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[6,1]
[6,5,2,3,7,1,4]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[5,2]
[6,5,2,3,7,4,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[6,1]
[6,5,2,4,1,3,7]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[5,1,1]
[6,5,2,4,1,7,3]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[5,1,1]
[6,5,2,4,3,1,7]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[5,1,1]
[6,5,2,4,3,7,1]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[5,2]
[6,5,2,4,7,1,3]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[5,2]
[6,5,2,4,7,3,1]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[5,1,1]
[6,5,2,7,1,3,4]=>[1,3,4,2,7,5,6]=>[1,4,3,2,7,5,6]=>[4,2,1]
[6,5,2,7,1,4,3]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[5,2]
[6,5,2,7,3,1,4]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[5,2]
[6,5,2,7,3,4,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[6,5,2,7,4,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[5,2]
[6,5,2,7,4,3,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[6,5,3,1,2,4,7]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[5,1,1]
[6,5,3,1,2,7,4]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[6,5,3,1,4,2,7]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[5,2]
[6,5,3,1,4,7,2]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[5,1,1]
[6,5,3,1,7,2,4]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[5,1,1]
[6,5,3,1,7,4,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[6,5,3,2,1,4,7]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[5,1,1]
[6,5,3,2,1,7,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[6,5,3,2,4,1,7]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[5,1,1]
[6,5,3,2,4,7,1]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[5,1,1]
[6,5,3,2,7,1,4]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[5,2]
[6,5,3,2,7,4,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[6,5,3,4,1,2,7]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[6,5,3,4,1,7,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[6,5,3,4,2,1,7]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[6,5,3,4,2,7,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[6,5,3,4,7,1,2]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[6,1]
[6,5,3,4,7,2,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[6,1]
[6,5,3,7,1,2,4]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[5,2]
[6,5,3,7,1,4,2]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[5,2]
[6,5,3,7,2,1,4]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[5,2]
[6,5,3,7,2,4,1]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[5,2]
[6,5,3,7,4,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[6,1]
[6,5,3,7,4,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[6,1]
[6,5,4,1,2,3,7]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[6,1]
[6,5,4,1,2,7,3]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[6,5,4,1,3,2,7]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[5,2]
[6,5,4,1,3,7,2]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[5,1,1]
[6,5,4,1,7,2,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[6,5,4,1,7,3,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[6,5,4,2,1,3,7]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[5,1,1]
[6,5,4,2,1,7,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[6,5,4,2,3,1,7]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[6,5,4,2,3,7,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[6,1]
[6,5,4,2,7,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[5,2]
[6,5,4,2,7,3,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[6,5,4,3,1,2,7]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[6,5,4,3,1,7,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[6,5,4,3,2,1,7]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[6,1]
[6,5,4,3,2,7,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[6,1]
[6,5,4,3,7,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[6,1]
[6,5,4,3,7,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[6,1]
[6,5,4,7,1,2,3]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[6,1]
[6,5,4,7,1,3,2]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[5,2]
[6,5,4,7,2,1,3]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[5,2]
[6,5,4,7,2,3,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[6,1]
[6,5,4,7,3,1,2]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[6,1]
[6,5,4,7,3,2,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[6,1]
[6,5,7,1,2,3,4]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[6,1]
[6,5,7,1,2,4,3]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[5,2]
[6,5,7,1,3,2,4]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[5,2]
[6,5,7,1,3,4,2]=>[1,3,4,2,5,7,6]=>[1,4,3,2,5,7,6]=>[4,2,1]
[6,5,7,1,4,2,3]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[5,2]
[6,5,7,1,4,3,2]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[5,2]
[6,5,7,2,1,3,4]=>[1,3,4,2,5,7,6]=>[1,4,3,2,5,7,6]=>[4,2,1]
[6,5,7,2,1,4,3]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[5,2]
[6,5,7,2,3,1,4]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[5,2]
[6,5,7,2,3,4,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[6,1]
[6,5,7,2,4,1,3]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[5,2]
[6,5,7,2,4,3,1]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[5,2]
[6,5,7,3,1,2,4]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[5,2]
[6,5,7,3,1,4,2]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[5,2]
[6,5,7,3,2,1,4]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[5,2]
[6,5,7,3,2,4,1]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[5,2]
[6,5,7,3,4,1,2]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[6,1]
[6,5,7,3,4,2,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[6,1]
[6,5,7,4,1,2,3]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[6,1]
[6,5,7,4,1,3,2]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[5,2]
[6,5,7,4,2,1,3]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[5,2]
[6,5,7,4,2,3,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[6,1]
[6,5,7,4,3,1,2]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[6,1]
[6,5,7,4,3,2,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[6,1]
[6,7,1,2,3,4,5]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7]
[6,7,1,2,3,5,4]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[6,1]
[6,7,1,2,4,3,5]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[6,1]
[6,7,1,2,4,5,3]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[5,1,1]
[6,7,1,2,5,3,4]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[6,1]
[6,7,1,2,5,4,3]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[6,1]
[6,7,1,3,2,4,5]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[6,1]
[6,7,1,3,2,5,4]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[5,2]
[6,7,1,3,4,2,5]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[5,1,1]
[6,7,1,3,4,5,2]=>[1,3,4,5,2,6,7]=>[1,5,3,4,2,6,7]=>[5,1,1]
[6,7,1,3,5,2,4]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>[5,1,1]
[6,7,1,3,5,4,2]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>[5,1,1]
[6,7,1,4,2,3,5]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[6,1]
[6,7,1,4,2,5,3]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[5,2]
[6,7,1,4,3,2,5]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[5,2]
[6,7,1,4,3,5,2]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[6,1]
[6,7,1,4,5,2,3]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>[5,1,1]
[6,7,1,4,5,3,2]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>[5,1,1]
[6,7,1,5,2,3,4]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[6,1]
[6,7,1,5,2,4,3]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>[5,1,1]
[6,7,1,5,3,2,4]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>[5,1,1]
[6,7,1,5,3,4,2]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[6,1]
[6,7,1,5,4,2,3]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[6,1]
[6,7,1,5,4,3,2]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[6,1]
[6,7,2,1,3,4,5]=>[1,3,4,5,2,6,7]=>[1,5,3,4,2,6,7]=>[5,1,1]
[6,7,2,1,3,5,4]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>[5,1,1]
[6,7,2,1,4,3,5]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[6,1]
[6,7,2,1,4,5,3]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>[5,1,1]
[6,7,2,1,5,3,4]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[6,1]
[6,7,2,1,5,4,3]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[6,1]
[6,7,2,3,1,4,5]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>[5,1,1]
[6,7,2,3,1,5,4]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[6,1]
[6,7,2,3,4,1,5]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[6,1]
[6,7,2,3,4,5,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7]
[6,7,2,3,5,1,4]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[6,1]
[6,7,2,3,5,4,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[6,1]
[6,7,2,4,1,3,5]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>[5,1,1]
[6,7,2,4,1,5,3]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>[5,1,1]
[6,7,2,4,3,1,5]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>[5,1,1]
[6,7,2,4,3,5,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[6,1]
[6,7,2,4,5,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[6,1]
[6,7,2,4,5,3,1]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[5,1,1]
[6,7,2,5,1,3,4]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[5,1,1]
[6,7,2,5,1,4,3]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[5,2]
[6,7,2,5,3,1,4]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[5,2]
[6,7,2,5,3,4,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[6,1]
[6,7,2,5,4,1,3]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[5,2]
[6,7,2,5,4,3,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[6,1]
[6,7,3,1,2,4,5]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[5,1,1]
[6,7,3,1,2,5,4]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[6,1]
[6,7,3,1,4,2,5]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[5,2]
[6,7,3,1,4,5,2]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>[5,1,1]
[6,7,3,1,5,2,4]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>[5,1,1]
[6,7,3,1,5,4,2]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[6,1]
[6,7,3,2,1,4,5]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>[5,1,1]
[6,7,3,2,1,5,4]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[6,1]
[6,7,3,2,4,1,5]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>[5,1,1]
[6,7,3,2,4,5,1]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[5,1,1]
[6,7,3,2,5,1,4]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[5,2]
[6,7,3,2,5,4,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[6,1]
[6,7,3,4,1,2,5]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[6,1]
[6,7,3,4,1,5,2]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[6,1]
[6,7,3,4,2,1,5]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[6,1]
[6,7,3,4,2,5,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[6,1]
[6,7,3,4,5,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7]
[6,7,3,4,5,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7]
[6,7,3,5,1,2,4]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[6,1]
[6,7,3,5,1,4,2]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[6,1]
[6,7,3,5,2,1,4]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[6,1]
[6,7,3,5,2,4,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[6,1]
[6,7,3,5,4,1,2]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[6,1]
[6,7,3,5,4,2,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[6,1]
[6,7,4,1,2,3,5]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[6,1]
[6,7,4,1,2,5,3]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[6,1]
[6,7,4,1,3,2,5]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[5,2]
[6,7,4,1,3,5,2]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>[5,1,1]
[6,7,4,1,5,2,3]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[6,1]
[6,7,4,1,5,3,2]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[6,1]
[6,7,4,2,1,3,5]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>[5,1,1]
[6,7,4,2,1,5,3]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[6,1]
[6,7,4,2,3,1,5]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[6,1]
[6,7,4,2,3,5,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[6,1]
[6,7,4,2,5,1,3]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[5,2]
[6,7,4,2,5,3,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[6,1]
[6,7,4,3,1,2,5]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[6,1]
[6,7,4,3,1,5,2]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[6,1]
[6,7,4,3,2,1,5]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[6,1]
[6,7,4,3,2,5,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[6,1]
[6,7,4,3,5,1,2]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[6,1]
[6,7,4,3,5,2,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[6,1]
[6,7,4,5,1,2,3]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7]
[6,7,4,5,1,3,2]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[6,1]
[6,7,4,5,2,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[6,1]
[6,7,4,5,2,3,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7]
[6,7,4,5,3,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7]
[6,7,4,5,3,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7]
[6,7,5,1,2,3,4]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7]
[6,7,5,1,2,4,3]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[6,1]
[6,7,5,1,3,2,4]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[6,1]
[6,7,5,1,3,4,2]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[5,1,1]
[6,7,5,1,4,2,3]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[6,1]
[6,7,5,1,4,3,2]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[6,1]
[6,7,5,2,1,3,4]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[5,1,1]
[6,7,5,2,1,4,3]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[6,1]
[6,7,5,2,3,1,4]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[6,1]
[6,7,5,2,3,4,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7]
[6,7,5,2,4,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[6,1]
[6,7,5,2,4,3,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[6,1]
[6,7,5,3,1,2,4]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[6,1]
[6,7,5,3,1,4,2]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[6,1]
[6,7,5,3,2,1,4]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[6,1]
[6,7,5,3,2,4,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[6,1]
[6,7,5,3,4,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7]
[6,7,5,3,4,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7]
[6,7,5,4,1,2,3]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7]
[6,7,5,4,1,3,2]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[6,1]
[6,7,5,4,2,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[6,1]
[6,7,5,4,2,3,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7]
[6,7,5,4,3,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7]
[6,7,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7]
[7,1,2,3,4,5,6]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7]
[7,1,2,3,4,6,5]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[6,1]
[7,1,2,3,5,4,6]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[6,1]
[7,1,2,3,5,6,4]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[5,1,1]
[7,1,2,3,6,4,5]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[6,1]
[7,1,2,3,6,5,4]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[6,1]
[7,1,2,4,3,5,6]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[6,1]
[7,1,2,4,3,6,5]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[5,2]
[7,1,2,4,5,3,6]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[5,1,1]
[7,1,2,4,5,6,3]=>[1,2,4,5,6,3,7]=>[1,2,6,4,5,3,7]=>[5,1,1]
[7,1,2,4,6,3,5]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>[5,1,1]
[7,1,2,4,6,5,3]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>[5,1,1]
[7,1,2,5,3,4,6]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[6,1]
[7,1,2,5,3,6,4]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[5,2]
[7,1,2,5,4,3,6]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[5,2]
[7,1,2,5,4,6,3]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[6,1]
[7,1,2,5,6,3,4]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>[5,1,1]
[7,1,2,5,6,4,3]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>[5,1,1]
[7,1,2,6,3,4,5]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[6,1]
[7,1,2,6,3,5,4]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>[5,1,1]
[7,1,2,6,4,3,5]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>[5,1,1]
[7,1,2,6,4,5,3]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[6,1]
[7,1,2,6,5,3,4]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[6,1]
[7,1,2,6,5,4,3]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[6,1]
[7,1,3,2,4,5,6]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[6,1]
[7,1,3,2,4,6,5]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[5,2]
[7,1,3,2,5,4,6]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[5,2]
[7,1,3,2,5,6,4]=>[1,3,2,5,6,4,7]=>[1,3,2,6,5,4,7]=>[4,2,1]
[7,1,3,2,6,4,5]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[5,2]
[7,1,3,2,6,5,4]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[5,2]
[7,1,3,4,2,5,6]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[5,1,1]
[7,1,3,4,2,6,5]=>[1,3,4,2,6,5,7]=>[1,4,3,2,6,5,7]=>[4,2,1]
[7,1,3,4,5,2,6]=>[1,3,4,5,2,6,7]=>[1,5,3,4,2,6,7]=>[5,1,1]
[7,1,3,4,5,6,2]=>[1,3,4,5,6,2,7]=>[1,6,3,4,5,2,7]=>[5,1,1]
[7,1,3,4,6,2,5]=>[1,3,4,6,2,5,7]=>[1,6,3,4,2,5,7]=>[5,1,1]
[7,1,3,4,6,5,2]=>[1,3,4,6,2,5,7]=>[1,6,3,4,2,5,7]=>[5,1,1]
[7,1,3,5,2,4,6]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>[5,1,1]
[7,1,3,5,2,6,4]=>[1,3,5,2,6,4,7]=>[1,5,3,6,2,4,7]=>[4,2,1]
[7,1,3,5,4,2,6]=>[1,3,5,2,6,4,7]=>[1,5,3,6,2,4,7]=>[4,2,1]
[7,1,3,5,4,6,2]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>[5,1,1]
[7,1,3,5,6,2,4]=>[1,3,5,6,2,4,7]=>[1,6,3,2,5,4,7]=>[4,2,1]
[7,1,3,5,6,4,2]=>[1,3,5,6,2,4,7]=>[1,6,3,2,5,4,7]=>[4,2,1]
[7,1,3,6,2,4,5]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[5,1,1]
[7,1,3,6,2,5,4]=>[1,3,6,2,5,4,7]=>[1,6,3,5,2,4,7]=>[4,2,1]
[7,1,3,6,4,2,5]=>[1,3,6,2,5,4,7]=>[1,6,3,5,2,4,7]=>[4,2,1]
[7,1,3,6,4,5,2]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[5,1,1]
[7,1,3,6,5,2,4]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[5,1,1]
[7,1,3,6,5,4,2]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[5,1,1]
[7,1,4,2,3,5,6]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[6,1]
[7,1,4,2,3,6,5]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[5,2]
[7,1,4,2,5,3,6]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[5,2]
[7,1,4,2,5,6,3]=>[1,4,2,5,6,3,7]=>[1,4,6,2,5,3,7]=>[4,2,1]
[7,1,4,2,6,3,5]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[5,2]
[7,1,4,2,6,5,3]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[5,2]
[7,1,4,3,2,5,6]=>[1,4,2,5,6,3,7]=>[1,4,6,2,5,3,7]=>[4,2,1]
[7,1,4,3,2,6,5]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[5,2]
[7,1,4,3,5,2,6]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[5,2]
[7,1,4,3,5,6,2]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[6,1]
[7,1,4,3,6,2,5]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[5,2]
[7,1,4,3,6,5,2]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[5,2]
[7,1,4,5,2,3,6]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>[5,1,1]
[7,1,4,5,2,6,3]=>[1,4,5,2,6,3,7]=>[1,5,6,4,2,3,7]=>[4,2,1]
[7,1,4,5,3,2,6]=>[1,4,5,2,6,3,7]=>[1,5,6,4,2,3,7]=>[4,2,1]
[7,1,4,5,3,6,2]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>[5,1,1]
[7,1,4,5,6,2,3]=>[1,4,5,6,2,3,7]=>[1,6,2,4,5,3,7]=>[5,1,1]
[7,1,4,5,6,3,2]=>[1,4,5,6,2,3,7]=>[1,6,2,4,5,3,7]=>[5,1,1]
[7,1,4,6,2,3,5]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[5,1,1]
[7,1,4,6,2,5,3]=>[1,4,6,2,5,3,7]=>[1,6,5,4,2,3,7]=>[4,1,1,1]
[7,1,4,6,3,2,5]=>[1,4,6,2,5,3,7]=>[1,6,5,4,2,3,7]=>[4,1,1,1]
[7,1,4,6,3,5,2]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[5,1,1]
[7,1,4,6,5,2,3]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[5,1,1]
[7,1,4,6,5,3,2]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[5,1,1]
[7,1,5,2,3,4,6]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[6,1]
[7,1,5,2,3,6,4]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[5,2]
[7,1,5,2,4,3,6]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>[5,1,1]
[7,1,5,2,4,6,3]=>[1,5,2,4,6,3,7]=>[1,5,6,2,4,3,7]=>[4,2,1]
[7,1,5,2,6,3,4]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[4,2,1]
[7,1,5,2,6,4,3]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[4,2,1]
[7,1,5,3,2,4,6]=>[1,5,2,4,6,3,7]=>[1,5,6,2,4,3,7]=>[4,2,1]
[7,1,5,3,2,6,4]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[4,2,1]
[7,1,5,3,4,2,6]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[4,2,1]
[7,1,5,3,4,6,2]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[6,1]
[7,1,5,3,6,2,4]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>[5,1,1]
[7,1,5,3,6,4,2]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[5,2]
[7,1,5,4,2,3,6]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[5,2]
[7,1,5,4,2,6,3]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[4,2,1]
[7,1,5,4,3,2,6]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[4,2,1]
[7,1,5,4,3,6,2]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[5,2]
[7,1,5,4,6,2,3]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[6,1]
[7,1,5,4,6,3,2]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[6,1]
[7,1,5,6,2,3,4]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[5,1,1]
[7,1,5,6,2,4,3]=>[1,5,6,2,4,3,7]=>[1,6,4,2,5,3,7]=>[4,2,1]
[7,1,5,6,3,2,4]=>[1,5,6,2,4,3,7]=>[1,6,4,2,5,3,7]=>[4,2,1]
[7,1,5,6,3,4,2]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[5,1,1]
[7,1,5,6,4,2,3]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[5,1,1]
[7,1,5,6,4,3,2]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[5,1,1]
[7,1,6,2,3,4,5]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[7,1,6,2,3,5,4]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[5,1,1]
[7,1,6,2,4,3,5]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[5,1,1]
[7,1,6,2,4,5,3]=>[1,6,2,4,5,3,7]=>[1,6,5,2,4,3,7]=>[4,1,1,1]
[7,1,6,2,5,3,4]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[4,1,1,1]
[7,1,6,2,5,4,3]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[4,1,1,1]
[7,1,6,3,2,4,5]=>[1,6,2,4,5,3,7]=>[1,6,5,2,4,3,7]=>[4,1,1,1]
[7,1,6,3,2,5,4]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[4,1,1,1]
[7,1,6,3,4,2,5]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[4,1,1,1]
[7,1,6,3,4,5,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[7,1,6,3,5,2,4]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[5,1,1]
[7,1,6,3,5,4,2]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[5,1,1]
[7,1,6,4,2,3,5]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[5,1,1]
[7,1,6,4,2,5,3]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[4,1,1,1]
[7,1,6,4,3,2,5]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[4,1,1,1]
[7,1,6,4,3,5,2]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[5,1,1]
[7,1,6,4,5,2,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[7,1,6,4,5,3,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[7,1,6,5,2,3,4]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[7,1,6,5,2,4,3]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[5,1,1]
[7,1,6,5,3,2,4]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[5,1,1]
[7,1,6,5,3,4,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[7,1,6,5,4,2,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[7,1,6,5,4,3,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[7,2,1,3,4,5,6]=>[1,3,4,5,6,2,7]=>[1,6,3,4,5,2,7]=>[5,1,1]
[7,2,1,3,4,6,5]=>[1,3,4,6,2,5,7]=>[1,6,3,4,2,5,7]=>[5,1,1]
[7,2,1,3,5,4,6]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>[5,1,1]
[7,2,1,3,5,6,4]=>[1,3,5,6,2,4,7]=>[1,6,3,2,5,4,7]=>[4,2,1]
[7,2,1,3,6,4,5]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[5,1,1]
[7,2,1,3,6,5,4]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[5,1,1]
[7,2,1,4,3,5,6]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[6,1]
[7,2,1,4,3,6,5]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[5,2]
[7,2,1,4,5,3,6]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>[5,1,1]
[7,2,1,4,5,6,3]=>[1,4,5,6,2,3,7]=>[1,6,2,4,5,3,7]=>[5,1,1]
[7,2,1,4,6,3,5]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[5,1,1]
[7,2,1,4,6,5,3]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[5,1,1]
[7,2,1,5,3,4,6]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[6,1]
[7,2,1,5,3,6,4]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[5,2]
[7,2,1,5,4,3,6]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[5,2]
[7,2,1,5,4,6,3]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[6,1]
[7,2,1,5,6,3,4]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[5,1,1]
[7,2,1,5,6,4,3]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[5,1,1]
[7,2,1,6,3,4,5]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[7,2,1,6,3,5,4]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[5,1,1]
[7,2,1,6,4,3,5]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[5,1,1]
[7,2,1,6,4,5,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[7,2,1,6,5,3,4]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[7,2,1,6,5,4,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[7,2,3,1,4,5,6]=>[1,4,5,6,2,3,7]=>[1,6,2,4,5,3,7]=>[5,1,1]
[7,2,3,1,4,6,5]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[5,1,1]
[7,2,3,1,5,4,6]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[6,1]
[7,2,3,1,5,6,4]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[5,1,1]
[7,2,3,1,6,4,5]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[7,2,3,1,6,5,4]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[7,2,3,4,1,5,6]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[5,1,1]
[7,2,3,4,1,6,5]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[7,2,3,4,5,1,6]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[7,2,3,4,5,6,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7]
[7,2,3,4,6,1,5]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[6,1]
[7,2,3,4,6,5,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[6,1]
[7,2,3,5,1,4,6]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[5,1,1]
[7,2,3,5,1,6,4]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[5,1,1]
[7,2,3,5,4,1,6]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[5,1,1]
[7,2,3,5,4,6,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[6,1]
[7,2,3,5,6,1,4]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[6,1]
[7,2,3,5,6,4,1]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[5,1,1]
[7,2,3,6,1,4,5]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>[5,1,1]
[7,2,3,6,1,5,4]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[5,2]
[7,2,3,6,4,1,5]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[5,2]
[7,2,3,6,4,5,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[6,1]
[7,2,3,6,5,1,4]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[5,2]
[7,2,3,6,5,4,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[6,1]
[7,2,4,1,3,5,6]=>[1,3,5,6,2,4,7]=>[1,6,3,2,5,4,7]=>[4,2,1]
[7,2,4,1,3,6,5]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[5,1,1]
[7,2,4,1,5,3,6]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>[5,1,1]
[7,2,4,1,5,6,3]=>[1,5,6,2,4,3,7]=>[1,6,4,2,5,3,7]=>[4,2,1]
[7,2,4,1,6,3,5]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[5,1,1]
[7,2,4,1,6,5,3]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[5,1,1]
[7,2,4,3,1,5,6]=>[1,5,6,2,4,3,7]=>[1,6,4,2,5,3,7]=>[4,2,1]
[7,2,4,3,1,6,5]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[5,1,1]
[7,2,4,3,5,1,6]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[5,1,1]
[7,2,4,3,5,6,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[6,1]
[7,2,4,3,6,1,5]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>[5,1,1]
[7,2,4,3,6,5,1]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[5,2]
[7,2,4,5,1,3,6]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[5,1,1]
[7,2,4,5,1,6,3]=>[1,6,2,4,5,3,7]=>[1,6,5,2,4,3,7]=>[4,1,1,1]
[7,2,4,5,3,1,6]=>[1,6,2,4,5,3,7]=>[1,6,5,2,4,3,7]=>[4,1,1,1]
[7,2,4,5,3,6,1]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[5,1,1]
[7,2,4,5,6,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[6,1]
[7,2,4,5,6,3,1]=>[1,2,4,5,6,3,7]=>[1,2,6,4,5,3,7]=>[5,1,1]
[7,2,4,6,1,3,5]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>[5,1,1]
[7,2,4,6,1,5,3]=>[1,5,2,4,6,3,7]=>[1,5,6,2,4,3,7]=>[4,2,1]
[7,2,4,6,3,1,5]=>[1,5,2,4,6,3,7]=>[1,5,6,2,4,3,7]=>[4,2,1]
[7,2,4,6,3,5,1]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>[5,1,1]
[7,2,4,6,5,1,3]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[5,2]
[7,2,4,6,5,3,1]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>[5,1,1]
[7,2,5,1,3,4,6]=>[1,3,4,6,2,5,7]=>[1,6,3,4,2,5,7]=>[5,1,1]
[7,2,5,1,3,6,4]=>[1,3,6,2,5,4,7]=>[1,6,3,5,2,4,7]=>[4,2,1]
[7,2,5,1,4,3,6]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[5,2]
[7,2,5,1,4,6,3]=>[1,4,6,2,5,3,7]=>[1,6,5,4,2,3,7]=>[4,1,1,1]
[7,2,5,1,6,3,4]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[4,1,1,1]
[7,2,5,1,6,4,3]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[4,1,1,1]
[7,2,5,3,1,4,6]=>[1,4,6,2,5,3,7]=>[1,6,5,4,2,3,7]=>[4,1,1,1]
[7,2,5,3,1,6,4]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[4,1,1,1]
[7,2,5,3,4,1,6]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[4,1,1,1]
[7,2,5,3,4,6,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[6,1]
[7,2,5,3,6,1,4]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[5,2]
[7,2,5,3,6,4,1]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[5,2]
[7,2,5,4,1,3,6]=>[1,3,6,2,5,4,7]=>[1,6,3,5,2,4,7]=>[4,2,1]
[7,2,5,4,1,6,3]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[4,1,1,1]
[7,2,5,4,3,1,6]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[4,1,1,1]
[7,2,5,4,3,6,1]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[5,2]
[7,2,5,4,6,1,3]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[5,2]
[7,2,5,4,6,3,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[6,1]
[7,2,5,6,1,3,4]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[5,1,1]
[7,2,5,6,1,4,3]=>[1,4,2,5,6,3,7]=>[1,4,6,2,5,3,7]=>[4,2,1]
[7,2,5,6,3,1,4]=>[1,4,2,5,6,3,7]=>[1,4,6,2,5,3,7]=>[4,2,1]
[7,2,5,6,3,4,1]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>[5,1,1]
[7,2,5,6,4,1,3]=>[1,3,2,5,6,4,7]=>[1,3,2,6,5,4,7]=>[4,2,1]
[7,2,5,6,4,3,1]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>[5,1,1]
[7,2,6,1,3,4,5]=>[1,3,4,5,2,6,7]=>[1,5,3,4,2,6,7]=>[5,1,1]
[7,2,6,1,3,5,4]=>[1,3,5,2,6,4,7]=>[1,5,3,6,2,4,7]=>[4,2,1]
[7,2,6,1,4,3,5]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[5,2]
[7,2,6,1,4,5,3]=>[1,4,5,2,6,3,7]=>[1,5,6,4,2,3,7]=>[4,2,1]
[7,2,6,1,5,3,4]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[4,2,1]
[7,2,6,1,5,4,3]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[4,2,1]
[7,2,6,3,1,4,5]=>[1,4,5,2,6,3,7]=>[1,5,6,4,2,3,7]=>[4,2,1]
[7,2,6,3,1,5,4]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[4,2,1]
[7,2,6,3,4,1,5]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[4,2,1]
[7,2,6,3,4,5,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[6,1]
[7,2,6,3,5,1,4]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[5,2]
[7,2,6,3,5,4,1]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>[5,1,1]
[7,2,6,4,1,3,5]=>[1,3,5,2,6,4,7]=>[1,5,3,6,2,4,7]=>[4,2,1]
[7,2,6,4,1,5,3]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[4,2,1]
[7,2,6,4,3,1,5]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[4,2,1]
[7,2,6,4,3,5,1]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>[5,1,1]
[7,2,6,4,5,1,3]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[5,2]
[7,2,6,4,5,3,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[6,1]
[7,2,6,5,1,3,4]=>[1,3,4,2,6,5,7]=>[1,4,3,2,6,5,7]=>[4,2,1]
[7,2,6,5,1,4,3]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[5,2]
[7,2,6,5,3,1,4]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[5,2]
[7,2,6,5,3,4,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[6,1]
[7,2,6,5,4,1,3]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[5,2]
[7,2,6,5,4,3,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[6,1]
[7,3,1,2,4,5,6]=>[1,2,4,5,6,3,7]=>[1,2,6,4,5,3,7]=>[5,1,1]
[7,3,1,2,4,6,5]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>[5,1,1]
[7,3,1,2,5,4,6]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[6,1]
[7,3,1,2,5,6,4]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>[5,1,1]
[7,3,1,2,6,4,5]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[6,1]
[7,3,1,2,6,5,4]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[6,1]
[7,3,1,4,2,5,6]=>[1,4,2,5,6,3,7]=>[1,4,6,2,5,3,7]=>[4,2,1]
[7,3,1,4,2,6,5]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[5,2]
[7,3,1,4,5,2,6]=>[1,4,5,2,6,3,7]=>[1,5,6,4,2,3,7]=>[4,2,1]
[7,3,1,4,5,6,2]=>[1,4,5,6,2,3,7]=>[1,6,2,4,5,3,7]=>[5,1,1]
[7,3,1,4,6,2,5]=>[1,4,6,2,5,3,7]=>[1,6,5,4,2,3,7]=>[4,1,1,1]
[7,3,1,4,6,5,2]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[5,1,1]
[7,3,1,5,2,4,6]=>[1,5,2,4,6,3,7]=>[1,5,6,2,4,3,7]=>[4,2,1]
[7,3,1,5,2,6,4]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[4,2,1]
[7,3,1,5,4,2,6]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[4,2,1]
[7,3,1,5,4,6,2]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[6,1]
[7,3,1,5,6,2,4]=>[1,5,6,2,4,3,7]=>[1,6,4,2,5,3,7]=>[4,2,1]
[7,3,1,5,6,4,2]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[5,1,1]
[7,3,1,6,2,4,5]=>[1,6,2,4,5,3,7]=>[1,6,5,2,4,3,7]=>[4,1,1,1]
[7,3,1,6,2,5,4]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[4,1,1,1]
[7,3,1,6,4,2,5]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[4,1,1,1]
[7,3,1,6,4,5,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[7,3,1,6,5,2,4]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[5,1,1]
[7,3,1,6,5,4,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[7,3,2,1,4,5,6]=>[1,4,5,6,2,3,7]=>[1,6,2,4,5,3,7]=>[5,1,1]
[7,3,2,1,4,6,5]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[5,1,1]
[7,3,2,1,5,4,6]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[6,1]
[7,3,2,1,5,6,4]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[5,1,1]
[7,3,2,1,6,4,5]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[7,3,2,1,6,5,4]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[7,3,2,4,1,5,6]=>[1,5,6,2,4,3,7]=>[1,6,4,2,5,3,7]=>[4,2,1]
[7,3,2,4,1,6,5]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[5,1,1]
[7,3,2,4,5,1,6]=>[1,6,2,4,5,3,7]=>[1,6,5,2,4,3,7]=>[4,1,1,1]
[7,3,2,4,5,6,1]=>[1,2,4,5,6,3,7]=>[1,2,6,4,5,3,7]=>[5,1,1]
[7,3,2,4,6,1,5]=>[1,5,2,4,6,3,7]=>[1,5,6,2,4,3,7]=>[4,2,1]
[7,3,2,4,6,5,1]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>[5,1,1]
[7,3,2,5,1,4,6]=>[1,4,6,2,5,3,7]=>[1,6,5,4,2,3,7]=>[4,1,1,1]
[7,3,2,5,1,6,4]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[4,1,1,1]
[7,3,2,5,4,1,6]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[4,1,1,1]
[7,3,2,5,4,6,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[6,1]
[7,3,2,5,6,1,4]=>[1,4,2,5,6,3,7]=>[1,4,6,2,5,3,7]=>[4,2,1]
[7,3,2,5,6,4,1]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>[5,1,1]
[7,3,2,6,1,4,5]=>[1,4,5,2,6,3,7]=>[1,5,6,4,2,3,7]=>[4,2,1]
[7,3,2,6,1,5,4]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[4,2,1]
[7,3,2,6,4,1,5]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[4,2,1]
[7,3,2,6,4,5,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[6,1]
[7,3,2,6,5,1,4]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[5,2]
[7,3,2,6,5,4,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[6,1]
[7,3,4,1,2,5,6]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>[5,1,1]
[7,3,4,1,2,6,5]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[6,1]
[7,3,4,1,5,2,6]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[4,2,1]
[7,3,4,1,5,6,2]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[5,1,1]
[7,3,4,1,6,2,5]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[4,1,1,1]
[7,3,4,1,6,5,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[7,3,4,2,1,5,6]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[5,1,1]
[7,3,4,2,1,6,5]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[7,3,4,2,5,1,6]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[4,1,1,1]
[7,3,4,2,5,6,1]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>[5,1,1]
[7,3,4,2,6,1,5]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[4,2,1]
[7,3,4,2,6,5,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[6,1]
[7,3,4,5,1,2,6]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[6,1]
[7,3,4,5,1,6,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[7,3,4,5,2,1,6]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[7,3,4,5,2,6,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[6,1]
[7,3,4,5,6,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7]
[7,3,4,5,6,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7]
[7,3,4,6,1,2,5]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[6,1]
[7,3,4,6,1,5,2]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[6,1]
[7,3,4,6,2,1,5]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[6,1]
[7,3,4,6,2,5,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[6,1]
[7,3,4,6,5,1,2]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[6,1]
[7,3,4,6,5,2,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[6,1]
[7,3,5,1,2,4,6]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>[5,1,1]
[7,3,5,1,2,6,4]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>[5,1,1]
[7,3,5,1,4,2,6]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[5,2]
[7,3,5,1,4,6,2]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[5,1,1]
[7,3,5,1,6,2,4]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[5,1,1]
[7,3,5,1,6,4,2]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[5,1,1]
[7,3,5,2,1,4,6]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[5,1,1]
[7,3,5,2,1,6,4]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[5,1,1]
[7,3,5,2,4,1,6]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[5,1,1]
[7,3,5,2,4,6,1]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>[5,1,1]
[7,3,5,2,6,1,4]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[5,2]
[7,3,5,2,6,4,1]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>[5,1,1]
[7,3,5,4,1,2,6]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>[5,1,1]
[7,3,5,4,1,6,2]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[5,1,1]
[7,3,5,4,2,1,6]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[5,1,1]
[7,3,5,4,2,6,1]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>[5,1,1]
[7,3,5,4,6,1,2]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[6,1]
[7,3,5,4,6,2,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[6,1]
[7,3,5,6,1,2,4]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[6,1]
[7,3,5,6,1,4,2]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[6,1]
[7,3,5,6,2,1,4]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[6,1]
[7,3,5,6,2,4,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[6,1]
[7,3,5,6,4,1,2]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[5,1,1]
[7,3,5,6,4,2,1]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[5,1,1]
[7,3,6,1,2,4,5]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[5,1,1]
[7,3,6,1,2,5,4]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[5,2]
[7,3,6,1,4,2,5]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[5,2]
[7,3,6,1,4,5,2]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>[5,1,1]
[7,3,6,1,5,2,4]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>[5,1,1]
[7,3,6,1,5,4,2]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[5,2]
[7,3,6,2,1,4,5]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>[5,1,1]
[7,3,6,2,1,5,4]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[5,2]
[7,3,6,2,4,1,5]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>[5,1,1]
[7,3,6,2,4,5,1]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[5,1,1]
[7,3,6,2,5,1,4]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[5,2]
[7,3,6,2,5,4,1]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[5,2]
[7,3,6,4,1,2,5]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[5,2]
[7,3,6,4,1,5,2]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[5,2]
[7,3,6,4,2,1,5]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[5,2]
[7,3,6,4,2,5,1]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[5,2]
[7,3,6,4,5,1,2]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[6,1]
[7,3,6,4,5,2,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[6,1]
[7,3,6,5,1,2,4]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[5,2]
[7,3,6,5,1,4,2]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[5,2]
[7,3,6,5,2,1,4]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[5,2]
[7,3,6,5,2,4,1]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[5,2]
[7,3,6,5,4,1,2]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[6,1]
[7,3,6,5,4,2,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[6,1]
[7,4,1,2,3,5,6]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[5,1,1]
[7,4,1,2,3,6,5]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[6,1]
[7,4,1,2,5,3,6]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[5,2]
[7,4,1,2,5,6,3]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>[5,1,1]
[7,4,1,2,6,3,5]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>[5,1,1]
[7,4,1,2,6,5,3]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[6,1]
[7,4,1,3,2,5,6]=>[1,3,2,5,6,4,7]=>[1,3,2,6,5,4,7]=>[4,2,1]
[7,4,1,3,2,6,5]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[5,2]
[7,4,1,3,5,2,6]=>[1,3,5,2,6,4,7]=>[1,5,3,6,2,4,7]=>[4,2,1]
[7,4,1,3,5,6,2]=>[1,3,5,6,2,4,7]=>[1,6,3,2,5,4,7]=>[4,2,1]
[7,4,1,3,6,2,5]=>[1,3,6,2,5,4,7]=>[1,6,3,5,2,4,7]=>[4,2,1]
[7,4,1,3,6,5,2]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[5,1,1]
[7,4,1,5,2,3,6]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[5,2]
[7,4,1,5,2,6,3]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[4,2,1]
[7,4,1,5,3,2,6]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[4,2,1]
[7,4,1,5,3,6,2]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[5,2]
[7,4,1,5,6,2,3]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[5,1,1]
[7,4,1,5,6,3,2]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[5,1,1]
[7,4,1,6,2,3,5]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[5,1,1]
[7,4,1,6,2,5,3]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[4,1,1,1]
[7,4,1,6,3,2,5]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[4,1,1,1]
[7,4,1,6,3,5,2]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[5,1,1]
[7,4,1,6,5,2,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[7,4,1,6,5,3,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[7,4,2,1,3,5,6]=>[1,3,5,6,2,4,7]=>[1,6,3,2,5,4,7]=>[4,2,1]
[7,4,2,1,3,6,5]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[5,1,1]
[7,4,2,1,5,3,6]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[5,2]
[7,4,2,1,5,6,3]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[5,1,1]
[7,4,2,1,6,3,5]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[5,1,1]
[7,4,2,1,6,5,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[7,4,2,3,1,5,6]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[5,1,1]
[7,4,2,3,1,6,5]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[7,4,2,3,5,1,6]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[5,1,1]
[7,4,2,3,5,6,1]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[5,1,1]
[7,4,2,3,6,1,5]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[5,2]
[7,4,2,3,6,5,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[6,1]
[7,4,2,5,1,3,6]=>[1,3,6,2,5,4,7]=>[1,6,3,5,2,4,7]=>[4,2,1]
[7,4,2,5,1,6,3]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[4,1,1,1]
[7,4,2,5,3,1,6]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[4,1,1,1]
[7,4,2,5,3,6,1]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[5,2]
[7,4,2,5,6,1,3]=>[1,3,2,5,6,4,7]=>[1,3,2,6,5,4,7]=>[4,2,1]
[7,4,2,5,6,3,1]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>[5,1,1]
[7,4,2,6,1,3,5]=>[1,3,5,2,6,4,7]=>[1,5,3,6,2,4,7]=>[4,2,1]
[7,4,2,6,1,5,3]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[4,2,1]
[7,4,2,6,3,1,5]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[4,2,1]
[7,4,2,6,3,5,1]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>[5,1,1]
[7,4,2,6,5,1,3]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[5,2]
[7,4,2,6,5,3,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[6,1]
[7,4,3,1,2,5,6]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>[5,1,1]
[7,4,3,1,2,6,5]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[6,1]
[7,4,3,1,5,2,6]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[4,2,1]
[7,4,3,1,5,6,2]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[5,1,1]
[7,4,3,1,6,2,5]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[4,1,1,1]
[7,4,3,1,6,5,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[7,4,3,2,1,5,6]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[5,1,1]
[7,4,3,2,1,6,5]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[7,4,3,2,5,1,6]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[4,1,1,1]
[7,4,3,2,5,6,1]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>[5,1,1]
[7,4,3,2,6,1,5]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[4,2,1]
[7,4,3,2,6,5,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[6,1]
[7,4,3,5,1,2,6]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>[5,1,1]
[7,4,3,5,1,6,2]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[5,1,1]
[7,4,3,5,2,1,6]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[5,1,1]
[7,4,3,5,2,6,1]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>[5,1,1]
[7,4,3,5,6,1,2]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[5,1,1]
[7,4,3,5,6,2,1]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[5,1,1]
[7,4,3,6,1,2,5]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[5,2]
[7,4,3,6,1,5,2]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[5,2]
[7,4,3,6,2,1,5]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[5,2]
[7,4,3,6,2,5,1]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[5,2]
[7,4,3,6,5,1,2]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[6,1]
[7,4,3,6,5,2,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[6,1]
[7,4,5,1,2,3,6]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[6,1]
[7,4,5,1,2,6,3]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[6,1]
[7,4,5,1,3,2,6]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[5,2]
[7,4,5,1,3,6,2]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[5,1,1]
[7,4,5,1,6,2,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[7,4,5,1,6,3,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[7,4,5,2,1,3,6]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[5,1,1]
[7,4,5,2,1,6,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[7,4,5,2,3,1,6]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[7,4,5,2,3,6,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[6,1]
[7,4,5,2,6,1,3]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[5,2]
[7,4,5,2,6,3,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[6,1]
[7,4,5,3,1,2,6]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[6,1]
[7,4,5,3,1,6,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[7,4,5,3,2,1,6]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[7,4,5,3,2,6,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[6,1]
[7,4,5,3,6,1,2]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[6,1]
[7,4,5,3,6,2,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[6,1]
[7,4,5,6,1,2,3]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7]
[7,4,5,6,1,3,2]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[6,1]
[7,4,5,6,2,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[6,1]
[7,4,5,6,2,3,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7]
[7,4,5,6,3,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7]
[7,4,5,6,3,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7]
[7,4,6,1,2,3,5]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[6,1]
[7,4,6,1,2,5,3]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[6,1]
[7,4,6,1,3,2,5]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[5,2]
[7,4,6,1,3,5,2]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>[5,1,1]
[7,4,6,1,5,2,3]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[6,1]
[7,4,6,1,5,3,2]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[6,1]
[7,4,6,2,1,3,5]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>[5,1,1]
[7,4,6,2,1,5,3]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[6,1]
[7,4,6,2,3,1,5]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[6,1]
[7,4,6,2,3,5,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[6,1]
[7,4,6,2,5,1,3]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[5,2]
[7,4,6,2,5,3,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[6,1]
[7,4,6,3,1,2,5]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[6,1]
[7,4,6,3,1,5,2]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[6,1]
[7,4,6,3,2,1,5]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[6,1]
[7,4,6,3,2,5,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[6,1]
[7,4,6,3,5,1,2]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[6,1]
[7,4,6,3,5,2,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[6,1]
[7,4,6,5,1,2,3]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[6,1]
[7,4,6,5,1,3,2]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[5,2]
[7,4,6,5,2,1,3]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[5,2]
[7,4,6,5,2,3,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[6,1]
[7,4,6,5,3,1,2]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[6,1]
[7,4,6,5,3,2,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[6,1]
[7,5,1,2,3,4,6]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[6,1]
[7,5,1,2,3,6,4]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[6,1]
[7,5,1,2,4,3,6]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[5,2]
[7,5,1,2,4,6,3]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>[5,1,1]
[7,5,1,2,6,3,4]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[6,1]
[7,5,1,2,6,4,3]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[6,1]
[7,5,1,3,2,4,6]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[5,2]
[7,5,1,3,2,6,4]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[5,2]
[7,5,1,3,4,2,6]=>[1,3,4,2,6,5,7]=>[1,4,3,2,6,5,7]=>[4,2,1]
[7,5,1,3,4,6,2]=>[1,3,4,6,2,5,7]=>[1,6,3,4,2,5,7]=>[5,1,1]
[7,5,1,3,6,2,4]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[5,1,1]
[7,5,1,3,6,4,2]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[5,1,1]
[7,5,1,4,2,3,6]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[5,2]
[7,5,1,4,2,6,3]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[5,2]
[7,5,1,4,3,2,6]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[5,2]
[7,5,1,4,3,6,2]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[5,2]
[7,5,1,4,6,2,3]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[5,1,1]
[7,5,1,4,6,3,2]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[5,1,1]
[7,5,1,6,2,3,4]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[7,5,1,6,2,4,3]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[5,1,1]
[7,5,1,6,3,2,4]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[5,1,1]
[7,5,1,6,3,4,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[7,5,1,6,4,2,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[7,5,1,6,4,3,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[7,5,2,1,3,4,6]=>[1,3,4,6,2,5,7]=>[1,6,3,4,2,5,7]=>[5,1,1]
[7,5,2,1,3,6,4]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[5,1,1]
[7,5,2,1,4,3,6]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[5,2]
[7,5,2,1,4,6,3]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[5,1,1]
[7,5,2,1,6,3,4]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[7,5,2,1,6,4,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[7,5,2,3,1,4,6]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[5,1,1]
[7,5,2,3,1,6,4]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[7,5,2,3,4,1,6]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[7,5,2,3,4,6,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[6,1]
[7,5,2,3,6,1,4]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[5,2]
[7,5,2,3,6,4,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[6,1]
[7,5,2,4,1,3,6]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[5,1,1]
[7,5,2,4,1,6,3]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[5,1,1]
[7,5,2,4,3,1,6]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[5,1,1]
[7,5,2,4,3,6,1]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[5,2]
[7,5,2,4,6,1,3]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[5,2]
[7,5,2,4,6,3,1]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>[5,1,1]
[7,5,2,6,1,3,4]=>[1,3,4,2,6,5,7]=>[1,4,3,2,6,5,7]=>[4,2,1]
[7,5,2,6,1,4,3]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[5,2]
[7,5,2,6,3,1,4]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[5,2]
[7,5,2,6,3,4,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[6,1]
[7,5,2,6,4,1,3]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[5,2]
[7,5,2,6,4,3,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[6,1]
[7,5,3,1,2,4,6]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>[5,1,1]
[7,5,3,1,2,6,4]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[6,1]
[7,5,3,1,4,2,6]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[5,2]
[7,5,3,1,4,6,2]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[5,1,1]
[7,5,3,1,6,2,4]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[5,1,1]
[7,5,3,1,6,4,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[7,5,3,2,1,4,6]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[5,1,1]
[7,5,3,2,1,6,4]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[7,5,3,2,4,1,6]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[5,1,1]
[7,5,3,2,4,6,1]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>[5,1,1]
[7,5,3,2,6,1,4]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[5,2]
[7,5,3,2,6,4,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[6,1]
[7,5,3,4,1,2,6]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[6,1]
[7,5,3,4,1,6,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[7,5,3,4,2,1,6]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[7,5,3,4,2,6,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[6,1]
[7,5,3,4,6,1,2]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[6,1]
[7,5,3,4,6,2,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[6,1]
[7,5,3,6,1,2,4]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[5,2]
[7,5,3,6,1,4,2]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[5,2]
[7,5,3,6,2,1,4]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[5,2]
[7,5,3,6,2,4,1]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[5,2]
[7,5,3,6,4,1,2]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[6,1]
[7,5,3,6,4,2,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[6,1]
[7,5,4,1,2,3,6]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[6,1]
[7,5,4,1,2,6,3]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[6,1]
[7,5,4,1,3,2,6]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[5,2]
[7,5,4,1,3,6,2]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[5,1,1]
[7,5,4,1,6,2,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[7,5,4,1,6,3,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[7,5,4,2,1,3,6]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[5,1,1]
[7,5,4,2,1,6,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[7,5,4,2,3,1,6]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[7,5,4,2,3,6,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[6,1]
[7,5,4,2,6,1,3]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[5,2]
[7,5,4,2,6,3,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[6,1]
[7,5,4,3,1,2,6]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[6,1]
[7,5,4,3,1,6,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[7,5,4,3,2,1,6]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[6,1]
[7,5,4,3,2,6,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[6,1]
[7,5,4,3,6,1,2]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[6,1]
[7,5,4,3,6,2,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[6,1]
[7,5,4,6,1,2,3]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[6,1]
[7,5,4,6,1,3,2]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[5,2]
[7,5,4,6,2,1,3]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[5,2]
[7,5,4,6,2,3,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[6,1]
[7,5,4,6,3,1,2]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[6,1]
[7,5,4,6,3,2,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[6,1]
[7,5,6,1,2,3,4]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7]
[7,5,6,1,2,4,3]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[6,1]
[7,5,6,1,3,2,4]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[6,1]
[7,5,6,1,3,4,2]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[5,1,1]
[7,5,6,1,4,2,3]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[6,1]
[7,5,6,1,4,3,2]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[6,1]
[7,5,6,2,1,3,4]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[5,1,1]
[7,5,6,2,1,4,3]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[6,1]
[7,5,6,2,3,1,4]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[6,1]
[7,5,6,2,3,4,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7]
[7,5,6,2,4,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[6,1]
[7,5,6,2,4,3,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[6,1]
[7,5,6,3,1,2,4]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[6,1]
[7,5,6,3,1,4,2]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[6,1]
[7,5,6,3,2,1,4]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[6,1]
[7,5,6,3,2,4,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[6,1]
[7,5,6,3,4,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7]
[7,5,6,3,4,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7]
[7,5,6,4,1,2,3]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7]
[7,5,6,4,1,3,2]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[6,1]
[7,5,6,4,2,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[6,1]
[7,5,6,4,2,3,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7]
[7,5,6,4,3,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7]
[7,5,6,4,3,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7]
[7,6,1,2,3,4,5]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7]
[7,6,1,2,3,5,4]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[6,1]
[7,6,1,2,4,3,5]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[6,1]
[7,6,1,2,4,5,3]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[5,1,1]
[7,6,1,2,5,3,4]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[6,1]
[7,6,1,2,5,4,3]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[6,1]
[7,6,1,3,2,4,5]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[6,1]
[7,6,1,3,2,5,4]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[5,2]
[7,6,1,3,4,2,5]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[5,1,1]
[7,6,1,3,4,5,2]=>[1,3,4,5,2,6,7]=>[1,5,3,4,2,6,7]=>[5,1,1]
[7,6,1,3,5,2,4]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>[5,1,1]
[7,6,1,3,5,4,2]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>[5,1,1]
[7,6,1,4,2,3,5]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[6,1]
[7,6,1,4,2,5,3]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[5,2]
[7,6,1,4,3,2,5]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[5,2]
[7,6,1,4,3,5,2]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[6,1]
[7,6,1,4,5,2,3]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>[5,1,1]
[7,6,1,4,5,3,2]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>[5,1,1]
[7,6,1,5,2,3,4]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[6,1]
[7,6,1,5,2,4,3]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>[5,1,1]
[7,6,1,5,3,2,4]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>[5,1,1]
[7,6,1,5,3,4,2]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[6,1]
[7,6,1,5,4,2,3]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[6,1]
[7,6,1,5,4,3,2]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[6,1]
[7,6,2,1,3,4,5]=>[1,3,4,5,2,6,7]=>[1,5,3,4,2,6,7]=>[5,1,1]
[7,6,2,1,3,5,4]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>[5,1,1]
[7,6,2,1,4,3,5]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[6,1]
[7,6,2,1,4,5,3]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>[5,1,1]
[7,6,2,1,5,3,4]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[6,1]
[7,6,2,1,5,4,3]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[6,1]
[7,6,2,3,1,4,5]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>[5,1,1]
[7,6,2,3,1,5,4]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[6,1]
[7,6,2,3,4,1,5]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[6,1]
[7,6,2,3,4,5,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7]
[7,6,2,3,5,1,4]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[6,1]
[7,6,2,3,5,4,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[6,1]
[7,6,2,4,1,3,5]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>[5,1,1]
[7,6,2,4,1,5,3]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>[5,1,1]
[7,6,2,4,3,1,5]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>[5,1,1]
[7,6,2,4,3,5,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[6,1]
[7,6,2,4,5,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[6,1]
[7,6,2,4,5,3,1]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[5,1,1]
[7,6,2,5,1,3,4]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[5,1,1]
[7,6,2,5,1,4,3]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[5,2]
[7,6,2,5,3,1,4]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[5,2]
[7,6,2,5,3,4,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[6,1]
[7,6,2,5,4,1,3]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[5,2]
[7,6,2,5,4,3,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[6,1]
[7,6,3,1,2,4,5]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[5,1,1]
[7,6,3,1,2,5,4]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[6,1]
[7,6,3,1,4,2,5]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[5,2]
[7,6,3,1,4,5,2]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>[5,1,1]
[7,6,3,1,5,2,4]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>[5,1,1]
[7,6,3,1,5,4,2]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[6,1]
[7,6,3,2,1,4,5]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>[5,1,1]
[7,6,3,2,1,5,4]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[6,1]
[7,6,3,2,4,1,5]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>[5,1,1]
[7,6,3,2,4,5,1]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[5,1,1]
[7,6,3,2,5,1,4]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[5,2]
[7,6,3,2,5,4,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[6,1]
[7,6,3,4,1,2,5]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[6,1]
[7,6,3,4,1,5,2]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[6,1]
[7,6,3,4,2,1,5]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[6,1]
[7,6,3,4,2,5,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[6,1]
[7,6,3,4,5,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7]
[7,6,3,4,5,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7]
[7,6,3,5,1,2,4]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[6,1]
[7,6,3,5,1,4,2]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[6,1]
[7,6,3,5,2,1,4]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[6,1]
[7,6,3,5,2,4,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[6,1]
[7,6,3,5,4,1,2]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[6,1]
[7,6,3,5,4,2,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[6,1]
[7,6,4,1,2,3,5]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[6,1]
[7,6,4,1,2,5,3]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[6,1]
[7,6,4,1,3,2,5]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[5,2]
[7,6,4,1,3,5,2]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>[5,1,1]
[7,6,4,1,5,2,3]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[6,1]
[7,6,4,1,5,3,2]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[6,1]
[7,6,4,2,1,3,5]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>[5,1,1]
[7,6,4,2,1,5,3]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[6,1]
[7,6,4,2,3,1,5]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[6,1]
[7,6,4,2,3,5,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[6,1]
[7,6,4,2,5,1,3]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[5,2]
[7,6,4,2,5,3,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[6,1]
[7,6,4,3,1,2,5]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[6,1]
[7,6,4,3,1,5,2]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[6,1]
[7,6,4,3,2,1,5]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[6,1]
[7,6,4,3,2,5,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[6,1]
[7,6,4,3,5,1,2]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[6,1]
[7,6,4,3,5,2,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[6,1]
[7,6,4,5,1,2,3]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7]
[7,6,4,5,1,3,2]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[6,1]
[7,6,4,5,2,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[6,1]
[7,6,4,5,2,3,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7]
[7,6,4,5,3,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7]
[7,6,4,5,3,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7]
[7,6,5,1,2,3,4]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7]
[7,6,5,1,2,4,3]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[6,1]
[7,6,5,1,3,2,4]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[6,1]
[7,6,5,1,3,4,2]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[5,1,1]
[7,6,5,1,4,2,3]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[6,1]
[7,6,5,1,4,3,2]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[6,1]
[7,6,5,2,1,3,4]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[5,1,1]
[7,6,5,2,1,4,3]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[6,1]
[7,6,5,2,3,1,4]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[6,1]
[7,6,5,2,3,4,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7]
[7,6,5,2,4,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[6,1]
[7,6,5,2,4,3,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[6,1]
[7,6,5,3,1,2,4]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[6,1]
[7,6,5,3,1,4,2]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[6,1]
[7,6,5,3,2,1,4]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[6,1]
[7,6,5,3,2,4,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[6,1]
[7,6,5,3,4,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7]
[7,6,5,3,4,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7]
[7,6,5,4,1,2,3]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7]
[7,6,5,4,1,3,2]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[6,1]
[7,6,5,4,2,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[6,1]
[7,6,5,4,2,3,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7]
[7,6,5,4,3,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7]
[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[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]=>[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]=>[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]=>[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]=>[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]=>[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]=>[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]=>[8]
[6,4,5,7,3,8,2,1]=>[1,2,3,8,4,5,7,6]=>[1,2,3,8,4,7,5,6]=>[6,1,1]
[5,4,6,7,3,8,2,1]=>[1,2,3,8,4,6,7,5]=>[1,2,3,8,7,4,6,5]=>[5,1,1,1]
[4,5,6,7,3,8,2,1]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[7,1]
[8,7,6,5,4,2,3,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[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]=>[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]=>[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]=>[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]=>[8]
[8,7,6,5,3,2,4,1]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[7,1]
[5,6,7,8,3,2,4,1]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[7,1]
[8,7,6,5,2,3,4,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[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]=>[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]=>[8]
[4,5,6,7,3,2,8,1]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[7,1]
[6,7,4,5,2,3,8,1]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[7,1]
[6,4,5,7,2,3,8,1]=>[1,2,3,8,4,5,7,6]=>[1,2,3,8,4,7,5,6]=>[6,1,1]
[4,5,6,7,2,3,8,1]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[7,1]
[7,6,5,2,3,4,8,1]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[7,1]
[5,4,3,2,6,7,8,1]=>[1,2,6,7,8,3,4,5]=>[1,2,8,3,4,6,7,5]=>[6,1,1]
[8,7,6,5,4,3,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[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]=>[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]=>[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]=>[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]=>[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]=>[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]=>[8]
[6,7,5,8,3,4,1,2]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>[7,1]
[7,5,6,8,3,4,1,2]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>[7,1]
[5,6,7,8,3,4,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8]
[7,8,4,5,3,6,1,2]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>[7,1]
[7,8,5,3,4,6,1,2]=>[1,2,3,4,6,5,7,8]=>[1,2,3,4,6,5,7,8]=>[7,1]
[6,7,4,5,3,8,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[7,1]
[5,4,6,7,3,8,1,2]=>[1,2,3,8,4,6,7,5]=>[1,2,3,8,7,4,6,5]=>[5,1,1,1]
[4,5,6,7,3,8,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[7,1]
[5,4,6,3,7,8,1,2]=>[1,2,3,7,8,4,6,5]=>[1,2,3,8,6,4,7,5]=>[5,2,1]
[6,4,3,5,7,8,1,2]=>[1,2,3,5,7,8,4,6]=>[1,2,3,8,5,4,7,6]=>[5,2,1]
[5,4,3,6,7,8,1,2]=>[1,2,3,6,7,8,4,5]=>[1,2,3,8,4,6,7,5]=>[6,1,1]
[8,7,6,5,4,2,1,3]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[7,1]
[5,6,7,8,4,2,1,3]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[7,1]
[4,5,6,7,8,2,1,3]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[7,1]
[8,7,6,5,4,1,2,3]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[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]=>[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]=>[8]
[6,5,4,7,8,1,2,3]=>[1,2,3,4,7,8,5,6]=>[1,2,3,4,8,5,7,6]=>[6,1,1]
[4,5,6,7,8,1,2,3]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8]
[8,7,6,5,3,2,1,4]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[7,1]
[7,6,5,8,3,2,1,4]=>[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]=>[6,2]
[5,6,7,8,3,2,1,4]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[7,1]
[8,7,6,5,2,3,1,4]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[7,1]
[7,8,5,6,2,3,1,4]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[7,1]
[6,7,5,8,2,3,1,4]=>[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]=>[6,2]
[7,5,6,8,2,3,1,4]=>[1,4,2,3,5,6,8,7]=>[1,4,2,3,5,6,8,7]=>[6,2]
[5,6,7,8,2,3,1,4]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[7,1]
[8,7,6,5,3,1,2,4]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[7,1]
[7,8,5,6,3,1,2,4]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[7,1]
[6,7,5,8,3,1,2,4]=>[1,2,4,3,5,8,6,7]=>[1,2,4,3,5,8,6,7]=>[6,2]
[7,5,6,8,3,1,2,4]=>[1,2,4,3,5,6,8,7]=>[1,2,4,3,5,6,8,7]=>[6,2]
[5,6,7,8,3,1,2,4]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[7,1]
[6,5,7,8,2,1,3,4]=>[1,3,4,2,5,7,8,6]=>[1,4,3,2,5,8,7,6]=>[4,2,2]
[8,7,6,5,1,2,3,4]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[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]=>[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]=>[8]
[7,6,8,5,1,2,3,4]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>[7,1]
[6,7,8,5,1,2,3,4]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[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]=>[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]=>[8]
[8,6,5,7,1,2,3,4]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>[7,1]
[8,5,6,7,1,2,3,4]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8]
[7,6,5,8,1,2,3,4]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>[7,1]
[6,7,5,8,1,2,3,4]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>[7,1]
[7,5,6,8,1,2,3,4]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>[7,1]
[5,6,7,8,1,2,3,4]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8]
[8,7,6,4,3,2,1,5]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>[7,1]
[6,7,8,4,3,2,1,5]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>[7,1]
[8,7,6,3,4,2,1,5]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>[7,1]
[6,7,8,3,4,2,1,5]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>[7,1]
[8,7,6,4,2,3,1,5]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>[7,1]
[6,7,8,4,2,3,1,5]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>[7,1]
[8,7,6,3,2,4,1,5]=>[1,5,2,4,3,6,7,8]=>[1,5,4,2,3,6,7,8]=>[6,1,1]
[6,7,8,3,2,4,1,5]=>[1,5,2,4,3,6,7,8]=>[1,5,4,2,3,6,7,8]=>[6,1,1]
[8,7,6,2,3,4,1,5]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>[7,1]
[6,7,8,2,3,4,1,5]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>[7,1]
[8,7,6,4,2,1,3,5]=>[1,3,5,2,4,6,7,8]=>[1,5,3,2,4,6,7,8]=>[6,1,1]
[6,7,8,4,2,1,3,5]=>[1,3,5,2,4,6,7,8]=>[1,5,3,2,4,6,7,8]=>[6,1,1]
[8,7,6,4,1,2,3,5]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[7,1]
[6,7,8,4,1,2,3,5]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[7,1]
[8,7,6,3,2,1,4,5]=>[1,4,5,2,3,6,7,8]=>[1,5,2,4,3,6,7,8]=>[6,1,1]
[6,7,8,3,2,1,4,5]=>[1,4,5,2,3,6,7,8]=>[1,5,2,4,3,6,7,8]=>[6,1,1]
[8,7,6,2,3,1,4,5]=>[1,4,5,2,3,6,7,8]=>[1,5,2,4,3,6,7,8]=>[6,1,1]
[6,7,8,2,3,1,4,5]=>[1,4,5,2,3,6,7,8]=>[1,5,2,4,3,6,7,8]=>[6,1,1]
[8,7,6,1,2,3,4,5]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[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]=>[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]=>[8]
[7,6,8,1,2,3,4,5]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>[7,1]
[6,7,8,1,2,3,4,5]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8]
[7,8,4,5,2,3,1,6]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[7,1]
[8,7,5,1,2,3,4,6]=>[1,2,3,4,6,5,7,8]=>[1,2,3,4,6,5,7,8]=>[7,1]
[7,8,5,1,2,3,4,6]=>[1,2,3,4,6,5,7,8]=>[1,2,3,4,6,5,7,8]=>[7,1]
[8,5,6,3,4,1,2,7]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>[7,1]
[8,6,5,2,3,1,4,7]=>[1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>[6,1,1]
[8,5,6,2,3,1,4,7]=>[1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>[6,1,1]
[5,6,7,4,3,2,1,8]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[7,4,5,6,3,2,1,8]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[4,5,6,7,3,2,1,8]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[5,6,7,3,4,2,1,8]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[5,6,7,4,2,3,1,8]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[6,7,4,5,2,3,1,8]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[7,4,5,6,2,3,1,8]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[4,5,6,7,2,3,1,8]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[5,6,7,3,2,4,1,8]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[6,1,1]
[7,6,5,2,3,4,1,8]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[6,7,5,2,3,4,1,8]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[7,5,6,2,3,4,1,8]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[5,6,7,2,3,4,1,8]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[7,4,5,6,3,1,2,8]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[7,1]
[4,5,6,7,3,1,2,8]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[7,1]
[7,4,5,6,2,1,3,8]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>[6,1,1]
[4,5,6,7,2,1,3,8]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>[6,1,1]
[5,6,7,4,1,2,3,8]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[7,1]
[7,4,5,6,1,2,3,8]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[7,1]
[5,6,4,7,1,2,3,8]=>[1,2,3,8,4,7,5,6]=>[1,2,3,8,7,5,4,6]=>[5,1,1,1]
[5,4,6,7,1,2,3,8]=>[1,2,3,8,4,6,7,5]=>[1,2,3,8,7,4,6,5]=>[5,1,1,1]
[4,5,6,7,1,2,3,8]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[7,1]
[5,6,7,3,1,2,4,8]=>[1,2,4,8,3,5,6,7]=>[1,2,8,4,3,5,6,7]=>[6,1,1]
[5,6,7,2,1,3,4,8]=>[1,3,4,8,2,5,6,7]=>[1,8,3,4,2,5,6,7]=>[6,1,1]
[7,6,5,1,2,3,4,8]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[7,1]
[6,7,5,1,2,3,4,8]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[7,1]
[7,5,6,1,2,3,4,8]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[7,1]
[6,5,7,1,2,3,4,8]=>[1,2,3,4,8,5,7,6]=>[1,2,3,4,8,7,5,6]=>[6,1,1]
[5,6,7,1,2,3,4,8]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[7,1]
[7,6,4,3,2,1,5,8]=>[1,5,8,2,3,4,6,7]=>[1,8,2,3,5,4,6,7]=>[6,1,1]
[5,6,4,3,1,2,7,8]=>[1,2,7,8,3,4,5,6]=>[1,2,8,3,4,5,7,6]=>[6,1,1]
[5,4,6,3,1,2,7,8]=>[1,2,7,8,3,4,6,5]=>[1,2,8,3,6,4,7,5]=>[5,2,1]
[5,6,3,4,1,2,7,8]=>[1,2,7,8,3,4,5,6]=>[1,2,8,3,4,5,7,6]=>[6,1,1]
[5,4,3,2,1,6,7,8]=>[1,6,7,8,2,3,4,5]=>[1,8,2,3,4,6,7,5]=>[6,1,1]
[4,3,2,1,5,6,7,8]=>[1,5,6,7,8,2,3,4]=>[1,8,2,3,5,6,7,4]=>[6,1,1]
[3,2,4,1,5,6,7,8]=>[1,5,6,7,8,2,4,3]=>[1,8,4,2,5,6,7,3]=>[5,2,1]
[2,3,4,1,5,6,7,8]=>[1,5,6,7,8,2,3,4]=>[1,8,2,3,5,6,7,4]=>[6,1,1]
[4,1,2,3,5,6,7,8]=>[1,2,3,5,6,7,8,4]=>[1,2,3,8,5,6,7,4]=>[6,1,1]
[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]
[5,8,7,6,4,3,2,1]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>[7,1]
[4,8,7,6,5,3,2,1]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[7,1]
[3,5,6,8,7,4,2,1]=>[1,2,3,5,6,8,4,7]=>[1,2,3,8,5,6,4,7]=>[6,1,1]
[3,5,6,7,8,4,2,1]=>[1,2,3,5,6,7,8,4]=>[1,2,3,8,5,6,7,4]=>[6,1,1]
[3,4,8,7,6,5,2,1]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[7,1]
[2,5,6,7,8,4,3,1]=>[1,2,5,6,7,8,3,4]=>[1,2,8,3,5,6,7,4]=>[6,1,1]
[2,4,8,7,6,5,3,1]=>[1,2,4,8,3,5,6,7]=>[1,2,8,4,3,5,6,7]=>[6,1,1]
[2,7,6,5,4,8,3,1]=>[1,2,7,3,4,8,5,6]=>[1,2,7,3,8,5,4,6]=>[5,2,1]
[2,3,5,6,7,8,4,1]=>[1,2,3,5,6,7,8,4]=>[1,2,3,8,5,6,7,4]=>[6,1,1]
[4,3,2,8,7,6,5,1]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[7,1]
[3,4,2,8,7,6,5,1]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[7,1]
[2,4,3,8,7,6,5,1]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,8,5,6,7]=>[6,2]
[3,2,4,8,7,6,5,1]=>[1,2,4,8,3,5,6,7]=>[1,2,8,4,3,5,6,7]=>[6,1,1]
[2,3,4,8,7,6,5,1]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[7,1]
[5,4,3,2,8,7,6,1]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[7,1]
[5,4,3,2,7,8,6,1]=>[1,2,7,8,3,4,5,6]=>[1,2,8,3,4,5,7,6]=>[6,1,1]
[2,5,4,3,8,7,6,1]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>[6,2]
[4,3,2,7,6,5,8,1]=>[1,2,7,3,4,5,8,6]=>[1,2,7,3,4,8,5,6]=>[6,2]
[3,4,2,7,6,5,8,1]=>[1,2,7,3,4,5,8,6]=>[1,2,7,3,4,8,5,6]=>[6,2]
[2,4,3,7,6,5,8,1]=>[1,2,4,3,7,5,8,6]=>[1,2,4,3,7,8,5,6]=>[5,3]
[2,3,4,7,6,5,8,1]=>[1,2,3,4,7,5,8,6]=>[1,2,3,4,7,8,5,6]=>[6,2]
[5,4,3,2,7,6,8,1]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>[7,1]
[2,5,4,3,6,7,8,1]=>[1,2,5,3,6,7,8,4]=>[1,2,5,8,3,6,7,4]=>[5,2,1]
[1,6,7,8,5,4,3,2]=>[1,6,7,8,2,3,4,5]=>[1,8,2,3,4,6,7,5]=>[6,1,1]
[1,5,6,7,8,4,3,2]=>[1,5,6,7,8,2,3,4]=>[1,8,2,3,5,6,7,4]=>[6,1,1]
[1,4,8,7,6,5,3,2]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>[6,1,1]
[1,3,6,5,7,8,4,2]=>[1,3,6,2,4,5,7,8]=>[1,6,3,2,4,5,7,8]=>[6,1,1]
[1,3,5,6,7,8,4,2]=>[1,3,5,6,7,8,2,4]=>[1,8,3,2,5,6,7,4]=>[5,2,1]
[1,4,3,8,7,6,5,2]=>[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>[6,2]
[1,4,3,7,8,6,5,2]=>[1,4,2,3,7,8,5,6]=>[1,4,2,3,8,5,7,6]=>[5,2,1]
[1,3,4,8,7,6,5,2]=>[1,3,4,8,2,5,6,7]=>[1,8,3,4,2,5,6,7]=>[6,1,1]
[1,5,6,4,3,8,7,2]=>[1,5,6,2,3,8,4,7]=>[1,6,2,8,5,3,4,7]=>[5,2,1]
[1,4,3,6,5,8,7,2]=>[1,4,2,3,6,5,8,7]=>[1,4,2,3,6,5,8,7]=>[5,3]
[2,1,8,7,6,5,4,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[2,1,6,7,8,5,4,3]=>[1,6,7,8,2,3,4,5]=>[1,8,2,3,4,6,7,5]=>[6,1,1]
[2,1,5,6,7,8,4,3]=>[1,5,6,7,8,2,3,4]=>[1,8,2,3,5,6,7,4]=>[6,1,1]
[2,1,4,8,7,6,5,3]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>[6,1,1]
[1,2,5,6,7,8,4,3]=>[1,2,5,6,7,8,3,4]=>[1,2,8,3,5,6,7,4]=>[6,1,1]
[1,2,4,8,7,6,5,3]=>[1,2,4,8,3,5,6,7]=>[1,2,8,4,3,5,6,7]=>[6,1,1]
[1,2,4,7,8,6,5,3]=>[1,2,4,7,8,3,5,6]=>[1,2,8,4,3,5,7,6]=>[5,2,1]
[3,2,1,8,7,6,5,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[3,2,1,7,8,6,5,4]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[6,1,1]
[3,2,1,6,7,8,5,4]=>[1,6,7,8,2,3,4,5]=>[1,8,2,3,4,6,7,5]=>[6,1,1]
[3,2,1,5,8,7,6,4]=>[1,5,8,2,3,4,6,7]=>[1,8,2,3,5,4,6,7]=>[6,1,1]
[3,2,1,6,5,8,7,4]=>[1,6,2,3,4,5,8,7]=>[1,6,2,3,4,5,8,7]=>[6,2]
[3,2,1,6,5,7,8,4]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[7,1]
[3,2,1,5,6,7,8,4]=>[1,5,6,7,8,2,3,4]=>[1,8,2,3,5,6,7,4]=>[6,1,1]
[2,3,1,8,7,6,5,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[1,3,2,8,7,6,5,4]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[6,2]
[2,1,3,8,7,6,5,4]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>[6,1,1]
[1,2,3,8,7,6,5,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[7,1]
[1,2,3,7,8,6,5,4]=>[1,2,3,7,8,4,5,6]=>[1,2,3,8,4,5,7,6]=>[6,1,1]
[1,2,3,6,8,7,5,4]=>[1,2,3,6,8,4,5,7]=>[1,2,3,8,4,6,5,7]=>[6,1,1]
[1,2,3,7,6,8,5,4]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>[7,1]
[1,2,3,6,7,8,5,4]=>[1,2,3,6,7,8,4,5]=>[1,2,3,8,4,6,7,5]=>[6,1,1]
[1,2,3,5,8,7,6,4]=>[1,2,3,5,8,4,6,7]=>[1,2,3,8,5,4,6,7]=>[6,1,1]
[1,2,3,5,7,8,6,4]=>[1,2,3,5,7,8,4,6]=>[1,2,3,8,5,4,7,6]=>[5,2,1]
[1,2,3,6,5,8,7,4]=>[1,2,3,6,4,5,8,7]=>[1,2,3,6,4,5,8,7]=>[6,2]
[1,2,3,5,6,8,7,4]=>[1,2,3,5,6,8,4,7]=>[1,2,3,8,5,6,4,7]=>[6,1,1]
[1,2,3,7,6,5,8,4]=>[1,2,3,7,4,5,8,6]=>[1,2,3,7,4,8,5,6]=>[6,2]
[1,2,3,6,7,5,8,4]=>[1,2,3,6,7,4,5,8]=>[1,2,3,7,4,6,5,8]=>[6,1,1]
[1,2,3,5,7,6,8,4]=>[1,2,3,5,7,4,6,8]=>[1,2,3,7,5,4,6,8]=>[6,1,1]
[1,2,3,6,5,7,8,4]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>[7,1]
[1,2,3,5,6,7,8,4]=>[1,2,3,5,6,7,8,4]=>[1,2,3,8,5,6,7,4]=>[6,1,1]
[4,3,2,1,8,7,6,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[4,3,2,1,7,8,6,5]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[6,1,1]
[4,3,2,1,6,7,8,5]=>[1,6,7,8,2,3,4,5]=>[1,8,2,3,4,6,7,5]=>[6,1,1]
[3,4,2,1,8,7,6,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[3,4,2,1,7,8,6,5]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[6,1,1]
[3,4,2,1,6,7,8,5]=>[1,6,7,8,2,3,4,5]=>[1,8,2,3,4,6,7,5]=>[6,1,1]
[2,4,3,1,8,7,6,5]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[6,1,1]
[2,4,3,1,6,8,7,5]=>[1,6,8,2,4,3,5,7]=>[1,8,4,2,3,6,5,7]=>[5,2,1]
[2,4,3,1,6,7,8,5]=>[1,6,7,8,2,4,3,5]=>[1,8,4,2,3,6,7,5]=>[5,2,1]
[3,2,4,1,8,7,6,5]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[6,1,1]
[3,2,4,1,7,8,6,5]=>[1,7,8,2,4,3,5,6]=>[1,8,4,2,3,5,7,6]=>[5,2,1]
[3,2,4,1,6,8,7,5]=>[1,6,8,2,4,3,5,7]=>[1,8,4,2,3,6,5,7]=>[5,2,1]
[3,2,4,1,6,7,8,5]=>[1,6,7,8,2,4,3,5]=>[1,8,4,2,3,6,7,5]=>[5,2,1]
[2,3,4,1,8,7,6,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[2,3,4,1,7,8,6,5]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[6,1,1]
[2,3,4,1,6,7,8,5]=>[1,6,7,8,2,3,4,5]=>[1,8,2,3,4,6,7,5]=>[6,1,1]
[1,4,3,2,8,7,6,5]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>[6,2]
[1,4,3,2,6,7,8,5]=>[1,4,2,6,7,8,3,5]=>[1,4,8,2,3,6,7,5]=>[5,2,1]
[1,3,4,2,8,7,6,5]=>[1,3,4,2,8,5,6,7]=>[1,4,3,2,8,5,6,7]=>[5,2,1]
[2,1,4,3,8,7,6,5]=>[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>[6,2]
[2,1,4,3,7,8,6,5]=>[1,4,2,3,7,8,5,6]=>[1,4,2,3,8,5,7,6]=>[5,2,1]
[2,1,4,3,6,8,7,5]=>[1,4,2,3,6,8,5,7]=>[1,4,2,3,8,6,5,7]=>[5,2,1]
[1,2,4,3,8,7,6,5]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,8,5,6,7]=>[6,2]
[3,2,1,4,8,7,6,5]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>[6,1,1]
[3,2,1,4,7,6,8,5]=>[1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>[6,1,1]
[2,3,1,4,8,7,6,5]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>[6,1,1]
[2,3,1,4,7,6,8,5]=>[1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>[6,1,1]
[1,3,2,4,8,7,6,5]=>[1,3,2,4,8,5,6,7]=>[1,3,2,4,8,5,6,7]=>[6,2]
[2,1,3,4,8,7,6,5]=>[1,3,4,8,2,5,6,7]=>[1,8,3,4,2,5,6,7]=>[6,1,1]
[1,2,3,4,8,7,6,5]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[7,1]
[1,2,3,4,6,7,8,5]=>[1,2,3,4,6,7,8,5]=>[1,2,3,4,8,6,7,5]=>[6,1,1]
[5,4,3,2,1,8,7,6]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[5,4,3,2,1,7,8,6]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[6,1,1]
[4,5,3,2,1,8,7,6]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[3,5,4,2,1,8,7,6]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>[6,1,1]
[4,3,5,2,1,8,7,6]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>[6,1,1]
[3,4,5,2,1,8,7,6]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[2,5,4,3,1,8,7,6]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[5,1,1,1]
[3,2,5,4,1,8,7,6]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[5,1,1,1]
[2,3,5,4,1,8,7,6]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>[6,1,1]
[4,3,2,5,1,8,7,6]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[5,1,1,1]
[3,4,2,5,1,8,7,6]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[5,1,1,1]
[2,4,3,5,1,8,7,6]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[6,1,1]
[2,3,4,5,1,8,7,6]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[4,3,2,1,5,8,7,6]=>[1,5,8,2,3,4,6,7]=>[1,8,2,3,5,4,6,7]=>[6,1,1]
[3,2,4,1,5,8,7,6]=>[1,5,8,2,4,3,6,7]=>[1,8,4,2,5,3,6,7]=>[5,2,1]
[2,3,4,1,5,8,7,6]=>[1,5,8,2,3,4,6,7]=>[1,8,2,3,5,4,6,7]=>[6,1,1]
[6,5,4,3,2,1,8,7]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[4,5,6,3,2,1,8,7]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[2,4,3,6,5,1,8,7]=>[1,8,2,4,3,6,5,7]=>[1,8,4,2,6,3,5,7]=>[5,2,1]
[5,4,3,2,6,1,8,7]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[5,1,1,1]
[4,5,3,2,6,1,8,7]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[5,1,1,1]
[2,1,6,5,4,3,8,7]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>[5,2,1]
[2,1,5,6,4,3,8,7]=>[1,5,6,2,3,8,4,7]=>[1,6,2,8,5,3,4,7]=>[5,2,1]
[2,1,4,6,5,3,8,7]=>[1,4,6,2,3,8,5,7]=>[1,6,2,4,8,3,5,7]=>[5,2,1]
[4,3,2,1,6,5,8,7]=>[1,6,2,3,4,5,8,7]=>[1,6,2,3,4,5,8,7]=>[6,2]
[3,4,2,1,6,5,8,7]=>[1,6,2,3,4,5,8,7]=>[1,6,2,3,4,5,8,7]=>[6,2]
[2,3,4,1,6,5,8,7]=>[1,6,2,3,4,5,8,7]=>[1,6,2,3,4,5,8,7]=>[6,2]
[2,1,4,3,6,5,8,7]=>[1,4,2,3,6,5,8,7]=>[1,4,2,3,6,5,8,7]=>[5,3]
[4,7,6,5,3,2,1,8]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[5,1,1,1]
[5,4,3,2,7,6,1,8]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[5,1,1,1]
[4,5,3,2,7,6,1,8]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[5,1,1,1]
[3,2,5,4,7,6,1,8]=>[1,8,2,5,3,4,7,6]=>[1,8,5,3,2,7,4,6]=>[4,2,1,1]
[3,2,4,1,7,6,5,8]=>[1,7,2,4,3,5,8,6]=>[1,7,4,2,3,8,5,6]=>[5,2,1]
[3,2,1,5,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>[6,2]
[1,3,2,5,4,7,6,8]=>[1,3,2,5,4,7,6,8]=>[1,3,2,5,4,7,6,8]=>[5,3]
[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>[6,2]
[3,2,4,1,5,7,6,8]=>[1,5,7,2,4,3,6,8]=>[1,7,4,2,5,3,6,8]=>[5,2,1]
[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[6,2]
[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>[7,1]
[4,3,2,1,6,5,7,8]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[7,1]
[3,2,4,1,6,5,7,8]=>[1,6,2,4,3,5,7,8]=>[1,6,4,2,3,5,7,8]=>[6,1,1]
[2,3,4,1,6,5,7,8]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[7,1]
[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[6,2]
[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[7,1]
[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[7,1]
[1,2,3,5,8,6,7,4]=>[1,2,3,5,8,4,6,7]=>[1,2,3,8,5,4,6,7]=>[6,1,1]
[1,2,3,7,5,6,8,4]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>[7,1]
[1,2,3,8,5,6,7,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[7,1]
[1,2,3,8,5,7,6,4]=>[1,2,3,8,4,5,7,6]=>[1,2,3,8,4,7,5,6]=>[6,1,1]
[1,2,3,8,6,5,7,4]=>[1,2,3,8,4,5,7,6]=>[1,2,3,8,4,7,5,6]=>[6,1,1]
[1,2,3,8,6,7,5,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[7,1]
[1,3,8,5,6,7,4,2]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>[6,1,1]
[2,1,4,3,8,6,7,5]=>[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>[6,2]
[2,1,6,4,5,3,8,7]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>[5,2,1]
[2,1,8,5,4,7,6,3]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[5,1,1,1]
[2,1,8,7,5,6,4,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[2,3,1,8,6,7,5,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[2,3,4,1,8,6,7,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[2,3,4,8,5,6,7,1]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[7,1]
[2,3,4,8,5,7,6,1]=>[1,2,3,4,8,5,7,6]=>[1,2,3,4,8,7,5,6]=>[6,1,1]
[2,3,4,8,6,5,7,1]=>[1,2,3,4,8,5,7,6]=>[1,2,3,4,8,7,5,6]=>[6,1,1]
[2,3,4,8,6,7,5,1]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[7,1]
[2,3,7,4,5,6,8,1]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>[7,1]
[2,5,3,4,1,8,7,6]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[5,1,1,1]
[2,5,4,3,8,6,7,1]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>[6,2]
[3,2,1,5,8,6,7,4]=>[1,5,8,2,3,4,6,7]=>[1,8,2,3,5,4,6,7]=>[6,1,1]
[3,2,1,8,5,6,7,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[3,2,1,8,6,7,5,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[3,2,4,1,8,6,7,5]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[6,1,1]
[4,2,3,1,6,5,8,7]=>[1,6,2,3,4,5,8,7]=>[1,6,2,3,4,5,8,7]=>[6,2]
[4,2,3,1,6,7,8,5]=>[1,6,7,8,2,3,4,5]=>[1,8,2,3,4,6,7,5]=>[6,1,1]
[4,2,3,1,8,6,7,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[4,2,3,1,8,7,6,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[4,2,3,5,1,8,7,6]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>[6,1,1]
[4,2,3,7,6,5,8,1]=>[1,2,3,7,4,5,8,6]=>[1,2,3,7,4,8,5,6]=>[6,2]
[4,2,3,8,7,6,5,1]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[7,1]
[5,2,3,4,1,8,7,6]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[5,2,4,3,1,8,7,6]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[6,1,1]
[4,3,2,1,8,6,7,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[4,3,2,7,5,6,8,1]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>[7,1]
[5,3,2,4,1,8,7,6]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[6,1,1]
[6,3,2,5,4,1,8,7]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[5,1,1,1]
[8,3,2,7,6,5,4,1]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>[7,1]
[5,3,4,2,1,7,8,6]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[6,1,1]
[5,3,4,2,1,8,7,6]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[5,4,3,2,8,6,7,1]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[7,1]
[6,5,3,4,2,1,8,7]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[8,7,3,6,5,4,2,1]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>[7,1]
[8,5,4,3,2,7,6,1]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>[7,1]
[8,7,4,3,6,5,2,1]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>[7,1]
[2,4,6,1,3,5,8,7]=>[1,3,5,8,2,4,6,7]=>[1,8,3,2,5,4,6,7]=>[5,2,1]
[2,1,4,3,6,8,5,7]=>[1,4,2,3,6,8,5,7]=>[1,4,2,3,8,6,5,7]=>[5,2,1]
[2,1,4,6,3,8,5,7]=>[1,4,6,2,3,8,5,7]=>[1,6,2,4,8,3,5,7]=>[5,2,1]
[2,1,4,6,8,3,5,7]=>[1,4,6,8,2,3,5,7]=>[1,8,2,4,3,6,5,7]=>[5,2,1]
[2,4,1,6,8,3,5,7]=>[1,6,8,2,4,3,5,7]=>[1,8,4,2,3,6,5,7]=>[5,2,1]
[2,4,6,1,8,3,5,7]=>[1,8,2,4,6,3,5,7]=>[1,8,6,2,3,4,5,7]=>[6,1,1]
[2,4,1,6,3,7,5,8]=>[1,6,2,4,3,7,5,8]=>[1,6,4,2,7,3,5,8]=>[5,2,1]
[2,4,1,6,3,7,8,5]=>[1,6,2,4,3,7,8,5]=>[1,6,4,2,8,3,7,5]=>[4,2,2]
[2,4,1,6,7,3,8,5]=>[1,6,7,2,4,3,8,5]=>[1,7,4,2,8,6,3,5]=>[4,2,2]
[2,1,4,3,7,5,8,6]=>[1,4,2,3,7,5,8,6]=>[1,4,2,3,7,8,5,6]=>[5,3]
[2,4,1,3,7,5,8,6]=>[1,3,7,2,4,5,8,6]=>[1,7,3,2,4,8,5,6]=>[5,2,1]
[2,4,7,1,3,5,8,6]=>[1,3,5,8,2,4,7,6]=>[1,8,3,2,5,7,4,6]=>[4,3,1]
[2,1,4,3,7,8,5,6]=>[1,4,2,3,7,8,5,6]=>[1,4,2,3,8,5,7,6]=>[5,2,1]
[2,4,7,1,3,8,5,6]=>[1,3,8,2,4,7,5,6]=>[1,8,3,2,7,5,4,6]=>[4,2,1,1]
[2,1,4,5,7,3,8,6]=>[1,4,5,7,2,3,8,6]=>[1,7,2,4,5,8,3,6]=>[5,2,1]
[2,1,4,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>[6,2]
[2,4,1,3,8,5,6,7]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>[6,1,1]
[2,1,5,3,6,4,8,7]=>[1,5,2,3,6,4,8,7]=>[1,5,2,6,3,4,8,7]=>[5,3]
[2,1,5,6,7,8,3,4]=>[1,5,6,7,8,2,3,4]=>[1,8,2,3,5,6,7,4]=>[6,1,1]
[2,5,1,6,7,8,3,4]=>[1,6,7,8,2,5,3,4]=>[1,8,5,3,2,6,7,4]=>[4,2,1,1]
[2,1,5,3,7,4,8,6]=>[1,5,2,3,7,4,8,6]=>[1,5,2,7,3,8,4,6]=>[5,3]
[2,5,1,7,3,4,8,6]=>[1,7,2,5,3,4,8,6]=>[1,7,5,3,2,8,4,6]=>[4,2,1,1]
[2,1,5,7,3,8,4,6]=>[1,5,7,2,3,8,4,6]=>[1,7,2,8,5,4,3,6]=>[4,2,1,1]
[2,3,5,1,7,4,8,6]=>[1,7,2,3,5,4,8,6]=>[1,7,2,5,3,8,4,6]=>[5,2,1]
[2,3,5,6,7,8,1,4]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[7,1]
[2,6,7,1,3,4,8,5]=>[1,3,4,8,2,6,7,5]=>[1,8,3,4,7,2,6,5]=>[4,2,1,1]
[2,6,1,7,3,8,4,5]=>[1,7,2,6,3,8,4,5]=>[1,7,6,8,4,2,3,5]=>[4,2,1,1]
[2,1,6,7,8,3,4,5]=>[1,6,7,8,2,3,4,5]=>[1,8,2,3,4,6,7,5]=>[6,1,1]
[2,1,6,3,4,8,5,7]=>[1,6,2,3,4,8,5,7]=>[1,6,2,3,8,4,5,7]=>[6,2]
[2,1,7,8,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[6,1,1]
[2,7,1,8,3,4,5,6]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[5,1,1,1]
[2,3,4,1,7,8,5,6]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[6,1,1]
[2,1,3,4,8,5,6,7]=>[1,3,4,8,2,5,6,7]=>[1,8,3,4,2,5,6,7]=>[6,1,1]
[2,3,1,4,8,5,6,7]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>[6,1,1]
[2,3,4,1,8,5,6,7]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[2,3,4,1,5,8,6,7]=>[1,5,8,2,3,4,6,7]=>[1,8,2,3,5,4,6,7]=>[6,1,1]
[3,4,1,2,6,5,8,7]=>[1,2,6,3,4,5,8,7]=>[1,2,6,3,4,5,8,7]=>[6,2]
[3,1,4,2,6,7,8,5]=>[1,4,2,6,7,8,3,5]=>[1,4,8,2,3,6,7,5]=>[5,2,1]
[3,4,1,2,6,7,8,5]=>[1,2,6,7,8,3,4,5]=>[1,2,8,3,4,6,7,5]=>[6,1,1]
[3,4,6,1,2,7,8,5]=>[1,2,7,8,3,4,6,5]=>[1,2,8,3,6,4,7,5]=>[5,2,1]
[3,4,6,7,1,8,2,5]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[5,1,1,1]
[3,4,1,2,7,8,5,6]=>[1,2,7,8,3,4,5,6]=>[1,2,8,3,4,5,7,6]=>[6,1,1]
[3,1,4,2,8,5,6,7]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>[6,2]
[3,4,1,2,8,5,6,7]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[7,1]
[3,5,1,6,2,4,8,7]=>[1,6,2,4,8,3,5,7]=>[1,6,8,2,3,4,5,7]=>[6,2]
[3,5,6,1,2,4,8,7]=>[1,2,4,8,3,5,6,7]=>[1,2,8,4,3,5,6,7]=>[6,1,1]
[3,5,6,1,7,8,2,4]=>[1,7,8,2,4,3,5,6]=>[1,8,4,2,3,5,7,6]=>[5,2,1]
[3,5,6,7,8,1,2,4]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[7,1]
[3,1,5,7,2,4,8,6]=>[1,5,7,2,4,8,3,6]=>[1,7,8,2,5,3,4,6]=>[5,2,1]
[3,1,5,7,2,8,4,6]=>[1,5,7,2,8,3,4,6]=>[1,7,8,3,5,4,2,6]=>[4,2,1,1]
[3,1,5,2,7,4,6,8]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>[5,2,1]
[1,3,5,2,7,4,8,6]=>[1,3,5,2,7,4,8,6]=>[1,5,3,7,2,8,4,6]=>[4,3,1]
[3,1,5,2,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[5,2,1]
[1,3,2,5,8,4,6,7]=>[1,3,2,5,8,4,6,7]=>[1,3,2,8,5,4,6,7]=>[5,2,1]
[1,3,5,8,2,4,6,7]=>[1,3,5,8,2,4,6,7]=>[1,8,3,2,5,4,6,7]=>[5,2,1]
[1,3,5,2,6,8,4,7]=>[1,3,5,2,6,8,4,7]=>[1,5,3,8,2,6,4,7]=>[4,2,2]
[1,3,5,6,7,8,2,4]=>[1,3,5,6,7,8,2,4]=>[1,8,3,2,5,6,7,4]=>[5,2,1]
[3,6,7,1,2,8,4,5]=>[1,2,8,3,6,7,4,5]=>[1,2,8,7,4,3,6,5]=>[4,2,1,1]
[1,3,2,6,4,7,5,8]=>[1,3,2,6,4,7,5,8]=>[1,3,2,6,7,4,5,8]=>[5,3]
[1,3,6,2,4,7,8,5]=>[1,3,6,2,4,7,8,5]=>[1,6,3,2,8,4,7,5]=>[4,2,2]
[3,1,2,6,7,4,8,5]=>[1,2,6,7,3,4,8,5]=>[1,2,7,3,8,6,4,5]=>[5,2,1]
[3,1,6,2,8,4,5,7]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[5,2,1]
[3,1,2,4,6,7,8,5]=>[1,2,4,6,7,8,3,5]=>[1,2,8,4,3,6,7,5]=>[5,2,1]
[1,3,7,2,8,4,5,6]=>[1,3,7,2,8,4,5,6]=>[1,7,3,8,4,5,2,6]=>[5,2,1]
[3,1,2,4,8,5,6,7]=>[1,2,4,8,3,5,6,7]=>[1,2,8,4,3,5,6,7]=>[6,1,1]
[1,3,2,4,8,5,6,7]=>[1,3,2,4,8,5,6,7]=>[1,3,2,4,8,5,6,7]=>[6,2]
[1,3,4,2,8,5,6,7]=>[1,3,4,2,8,5,6,7]=>[1,4,3,2,8,5,6,7]=>[5,2,1]
[4,1,5,2,6,3,8,7]=>[1,5,2,6,3,8,4,7]=>[1,5,6,8,2,3,4,7]=>[5,3]
[4,5,6,1,2,3,8,7]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[7,1]
[4,1,5,2,6,8,3,7]=>[1,5,2,6,8,3,7,4]=>[1,5,8,7,2,6,3,4]=>[4,2,1,1]
[4,5,1,6,2,8,3,7]=>[1,6,2,8,3,7,4,5]=>[1,6,8,7,4,2,3,5]=>[4,2,1,1]
[4,1,5,6,8,2,3,7]=>[1,5,6,8,2,3,7,4]=>[1,8,2,7,5,6,3,4]=>[4,2,1,1]
[4,5,1,6,2,7,3,8]=>[1,6,2,7,3,8,4,5]=>[1,6,7,8,4,2,3,5]=>[4,3,1]
[4,5,6,7,1,2,8,3]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[7,1]
[4,5,6,7,1,8,2,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[4,1,5,2,7,3,8,6]=>[1,5,2,7,3,8,4,6]=>[1,5,7,8,2,4,3,6]=>[4,3,1]
[4,5,1,2,7,3,6,8]=>[1,2,7,3,6,8,4,5]=>[1,2,7,8,4,3,6,5]=>[4,2,2]
[1,4,2,5,3,7,6,8]=>[1,4,2,5,3,7,6,8]=>[1,4,5,2,3,7,6,8]=>[5,3]
[1,4,2,5,7,3,8,6]=>[1,4,2,5,7,3,8,6]=>[1,4,7,2,5,8,3,6]=>[4,3,1]
[1,4,5,7,2,3,8,6]=>[1,4,5,7,2,3,8,6]=>[1,7,2,4,5,8,3,6]=>[5,2,1]
[4,5,1,2,8,3,6,7]=>[1,2,8,3,6,7,4,5]=>[1,2,8,7,4,3,6,5]=>[4,2,1,1]
[1,4,2,5,3,8,6,7]=>[1,4,2,5,3,8,6,7]=>[1,4,5,2,3,8,6,7]=>[5,3]
[1,4,2,5,3,6,7,8]=>[1,4,2,5,3,6,7,8]=>[1,4,5,2,3,6,7,8]=>[6,2]
[4,1,6,2,7,3,8,5]=>[1,6,2,7,3,8,4,5]=>[1,6,7,8,4,2,3,5]=>[4,3,1]
[4,6,7,1,8,2,3,5]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>[6,1,1]
[4,6,1,7,2,3,5,8]=>[1,7,2,3,5,8,4,6]=>[1,7,2,8,3,4,5,6]=>[6,2]
[1,4,2,6,3,7,5,8]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>[5,3]
[1,4,6,2,7,3,8,5]=>[1,4,6,2,7,3,8,5]=>[1,6,7,4,8,2,3,5]=>[4,3,1]
[1,4,2,6,7,8,3,5]=>[1,4,2,6,7,8,3,5]=>[1,4,8,2,3,6,7,5]=>[5,2,1]
[4,6,1,8,2,3,5,7]=>[1,8,2,3,5,7,4,6]=>[1,8,2,7,3,4,5,6]=>[6,1,1]
[4,1,2,6,3,8,5,7]=>[1,2,6,3,8,4,5,7]=>[1,2,6,8,4,3,5,7]=>[5,2,1]
[1,4,2,6,3,8,5,7]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,8,3,5,7]=>[5,3]
[4,1,2,3,6,5,8,7]=>[1,2,3,6,4,5,8,7]=>[1,2,3,6,4,5,8,7]=>[6,2]
[4,1,2,3,6,8,5,7]=>[1,2,3,6,8,4,5,7]=>[1,2,3,8,4,6,5,7]=>[6,1,1]
[4,1,2,3,6,5,7,8]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>[7,1]
[4,1,2,3,6,7,5,8]=>[1,2,3,6,7,4,5,8]=>[1,2,3,7,4,6,5,8]=>[6,1,1]
[4,1,2,3,6,7,8,5]=>[1,2,3,6,7,8,4,5]=>[1,2,3,8,4,6,7,5]=>[6,1,1]
[4,7,1,8,2,3,5,6]=>[1,8,2,3,5,6,4,7]=>[1,8,2,6,3,5,4,7]=>[5,1,1,1]
[4,1,2,7,8,3,5,6]=>[1,2,7,8,3,5,6,4]=>[1,2,8,6,3,5,7,4]=>[5,1,1,1]
[1,4,2,7,8,3,5,6]=>[1,4,2,7,8,3,5,6]=>[1,4,8,2,3,5,7,6]=>[5,2,1]
[4,1,2,3,7,5,8,6]=>[1,2,3,7,4,5,8,6]=>[1,2,3,7,4,8,5,6]=>[6,2]
[4,1,2,3,7,8,5,6]=>[1,2,3,7,8,4,5,6]=>[1,2,3,8,4,5,7,6]=>[6,1,1]
[4,1,2,3,7,5,6,8]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>[7,1]
[4,1,2,3,5,7,6,8]=>[1,2,3,5,7,4,6,8]=>[1,2,3,7,5,4,6,8]=>[6,1,1]
[4,1,2,3,5,7,8,6]=>[1,2,3,5,7,8,4,6]=>[1,2,3,8,5,4,7,6]=>[5,2,1]
[4,1,2,3,8,5,6,7]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[7,1]
[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>[6,2]
[1,2,4,3,8,5,6,7]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,8,5,6,7]=>[6,2]
[4,1,2,3,5,8,6,7]=>[1,2,3,5,8,4,6,7]=>[1,2,3,8,5,4,6,7]=>[6,1,1]
[4,1,2,3,5,6,8,7]=>[1,2,3,5,6,8,4,7]=>[1,2,3,8,5,6,4,7]=>[6,1,1]
[5,1,6,2,7,3,8,4]=>[1,6,2,7,3,8,4,5]=>[1,6,7,8,4,2,3,5]=>[4,3,1]
[1,5,2,6,3,7,4,8]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[5,3]
[1,5,6,7,8,2,3,4]=>[1,5,6,7,8,2,3,4]=>[1,8,2,3,5,6,7,4]=>[6,1,1]
[5,1,6,2,3,8,4,7]=>[1,6,2,3,8,4,7,5]=>[1,6,2,8,7,3,4,5]=>[5,2,1]
[5,6,1,2,3,8,4,7]=>[1,2,3,8,4,7,5,6]=>[1,2,3,8,7,5,4,6]=>[5,1,1,1]
[1,5,6,2,3,8,4,7]=>[1,5,6,2,3,8,4,7]=>[1,6,2,8,5,3,4,7]=>[5,2,1]
[5,1,2,3,6,7,8,4]=>[1,2,3,6,7,8,4,5]=>[1,2,3,8,4,6,7,5]=>[6,1,1]
[5,7,8,1,2,3,4,6]=>[1,2,3,4,6,5,7,8]=>[1,2,3,4,6,5,7,8]=>[7,1]
[1,5,7,2,8,3,4,6]=>[1,5,7,2,8,3,4,6]=>[1,7,8,3,5,4,2,6]=>[4,2,1,1]
[5,1,2,7,3,4,8,6]=>[1,2,7,3,4,8,5,6]=>[1,2,7,3,8,5,4,6]=>[5,2,1]
[1,5,2,8,3,4,6,7]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[5,2,1]
[6,1,7,8,2,3,4,5]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[6,1,1]
[6,7,1,8,2,3,4,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[1,6,2,7,3,8,4,5]=>[1,6,2,7,3,8,4,5]=>[1,6,7,8,4,2,3,5]=>[4,3,1]
[1,6,7,8,2,3,4,5]=>[1,6,7,8,2,3,4,5]=>[1,8,2,3,4,6,7,5]=>[6,1,1]
[6,1,2,3,7,8,4,5]=>[1,2,3,7,8,4,5,6]=>[1,2,3,8,4,5,7,6]=>[6,1,1]
[1,2,3,6,4,7,5,8]=>[1,2,3,6,4,7,5,8]=>[1,2,3,6,7,4,5,8]=>[6,2]
[7,1,2,8,3,4,5,6]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[7,1]
[1,7,2,8,3,4,5,6]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[5,2,1]
[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[7,1]
[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[7,1]
[8,4,5,2,3,7,6,1]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>[7,1]
[7,4,5,2,3,8,1,6]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>[5,2,1]
[6,4,5,2,3,1,8,7]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[3,6,1,5,4,2,8,7]=>[1,5,2,8,3,6,4,7]=>[1,5,8,6,2,3,4,7]=>[5,2,1]
[5,6,4,3,1,2,8,7]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[7,1]
[7,5,4,3,2,8,1,6]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[5,2,1]
[7,6,4,3,8,2,1,5]=>[1,5,2,3,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>[6,2]
[6,7,4,3,8,1,2,5]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>[6,2]
[5,7,4,3,1,8,2,6]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[5,1,1,1]
[4,7,5,1,3,8,2,6]=>[1,3,8,2,6,4,7,5]=>[1,8,3,6,7,2,4,5]=>[4,3,1]
[3,7,1,5,4,8,2,6]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[5,3]
[3,8,1,5,4,7,6,2]=>[1,5,2,3,8,4,7,6]=>[1,5,2,8,3,7,4,6]=>[5,2,1]
[4,8,5,1,3,7,6,2]=>[1,3,7,2,4,8,5,6]=>[1,7,3,2,8,5,4,6]=>[4,2,2]
[7,8,4,3,6,5,1,2]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>[7,1]
[6,8,5,7,3,1,4,2]=>[1,4,2,3,5,7,6,8]=>[1,4,2,3,5,7,6,8]=>[6,2]
[5,8,6,7,1,3,4,2]=>[1,3,4,2,5,8,6,7]=>[1,4,3,2,5,8,6,7]=>[5,2,1]
[4,8,6,1,7,3,5,2]=>[1,7,2,3,5,4,8,6]=>[1,7,2,5,3,8,4,6]=>[5,2,1]
[2,1,8,6,7,4,5,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[2,1,7,6,8,4,3,5]=>[1,7,2,3,5,4,6,8]=>[1,7,2,5,3,4,6,8]=>[6,1,1]
[4,7,6,1,8,3,2,5]=>[1,8,2,5,3,4,7,6]=>[1,8,5,3,2,7,4,6]=>[4,2,1,1]
[5,7,6,8,1,3,2,4]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[6,2]
[6,4,7,2,8,1,3,5]=>[1,3,5,2,8,4,7,6]=>[1,5,3,8,2,7,4,6]=>[4,2,2]
[7,4,6,2,8,3,1,5]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[5,2,1]
[5,3,2,7,1,8,4,6]=>[1,8,2,7,3,4,6,5]=>[1,8,7,3,6,4,2,5]=>[4,1,1,1,1]
[4,3,2,1,7,8,5,6]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[6,1,1]
[3,4,1,2,8,7,6,5]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[7,1]
[5,3,2,8,1,7,6,4]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[5,2,1]
[6,3,2,8,7,1,5,4]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[5,2,1]
[7,3,2,8,6,5,1,4]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>[6,2]
[4,5,8,1,2,7,6,3]=>[1,2,7,3,4,5,8,6]=>[1,2,7,3,4,8,5,6]=>[6,2]
[3,6,1,8,7,2,5,4]=>[1,8,2,5,3,6,4,7]=>[1,8,5,6,2,3,4,7]=>[5,2,1]
[4,6,8,1,7,2,5,3]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>[5,1,1,1]
[5,6,8,7,1,2,4,3]=>[1,2,4,3,5,6,8,7]=>[1,2,4,3,5,6,8,7]=>[6,2]
[6,5,8,7,2,1,4,3]=>[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]=>[6,2]
[7,5,8,6,2,4,1,3]=>[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,8,6,7]=>[6,2]
[5,7,8,6,1,4,2,3]=>[1,4,2,3,5,7,8,6]=>[1,4,2,3,5,8,7,6]=>[5,2,1]
[3,7,1,8,6,5,2,4]=>[1,8,2,4,3,7,5,6]=>[1,8,4,2,7,5,3,6]=>[4,2,1,1]
[2,1,7,8,6,5,3,4]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[6,1,1]
[3,8,1,7,6,5,4,2]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[5,2,1]
[4,8,7,1,6,5,3,2]=>[1,6,2,3,4,8,5,7]=>[1,6,2,3,8,4,5,7]=>[6,2]
[5,8,7,6,1,4,3,2]=>[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]=>[6,2]
[6,3,5,1,2,4,7,8]=>[1,2,4,7,8,3,5,6]=>[1,2,8,4,3,5,7,6]=>[5,2,1]
[6,5,8,1,2,3,4,7]=>[1,2,3,4,7,5,8,6]=>[1,2,3,4,7,8,5,6]=>[6,2]
[8,5,7,1,2,3,4,6]=>[1,2,3,4,6,5,7,8]=>[1,2,3,4,6,5,7,8]=>[7,1]
[5,2,6,7,1,3,4,8]=>[1,3,4,8,2,6,7,5]=>[1,8,3,4,7,2,6,5]=>[4,2,1,1]
[4,8,2,5,1,3,6,7]=>[1,3,6,7,2,5,4,8]=>[1,7,3,5,2,6,4,8]=>[5,2,1]
[5,8,3,7,1,2,4,6]=>[1,2,4,6,3,7,5,8]=>[1,2,6,4,7,3,5,8]=>[5,2,1]
[5,8,4,7,1,2,3,6]=>[1,2,3,6,4,7,5,8]=>[1,2,3,6,7,4,5,8]=>[6,2]
[6,8,5,7,1,2,3,4]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>[7,1]
[4,3,2,6,1,5,7,8]=>[1,5,7,8,2,6,3,4]=>[1,8,6,3,5,2,7,4]=>[4,2,1,1]
[4,3,2,7,1,5,6,8]=>[1,5,6,8,2,7,3,4]=>[1,8,7,3,5,6,2,4]=>[4,2,1,1]
[6,5,3,7,1,2,4,8]=>[1,2,4,8,3,7,5,6]=>[1,2,8,4,7,5,3,6]=>[5,1,1,1]
[6,5,3,8,1,2,4,7]=>[1,2,4,7,3,8,5,6]=>[1,2,7,4,8,5,3,6]=>[5,2,1]
[8,4,2,5,1,3,6,7]=>[1,3,6,7,2,5,4,8]=>[1,7,3,5,2,6,4,8]=>[5,2,1]
[8,5,4,7,1,2,3,6]=>[1,2,3,6,4,7,5,8]=>[1,2,3,6,7,4,5,8]=>[6,2]
[8,7,4,6,1,2,3,5]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[7,1]
[5,6,2,4,8,1,3,7]=>[1,3,7,2,4,8,5,6]=>[1,7,3,2,8,5,4,6]=>[4,2,2]
[6,8,2,5,7,1,3,4]=>[1,3,4,2,5,7,6,8]=>[1,4,3,2,5,7,6,8]=>[5,2,1]
[7,8,2,4,6,1,3,5]=>[1,3,5,2,4,6,7,8]=>[1,5,3,2,4,6,7,8]=>[6,1,1]
[6,4,3,5,8,1,2,7]=>[1,2,7,3,5,8,4,6]=>[1,2,7,8,3,4,5,6]=>[6,2]
[8,7,2,4,6,1,3,5]=>[1,3,5,2,4,6,7,8]=>[1,5,3,2,4,6,7,8]=>[6,1,1]
[4,3,7,2,6,1,5,8]=>[1,5,8,2,6,3,7,4]=>[1,8,6,7,5,2,3,4]=>[4,2,1,1]
[6,3,7,2,5,1,4,8]=>[1,4,8,2,5,3,7,6]=>[1,8,5,4,2,7,3,6]=>[4,2,1,1]
[6,4,7,2,5,1,3,8]=>[1,3,8,2,5,4,7,6]=>[1,8,3,5,2,7,4,6]=>[4,3,1]
[6,4,8,2,5,1,3,7]=>[1,3,7,2,5,4,8,6]=>[1,7,3,5,2,8,4,6]=>[4,3,1]
[6,4,8,2,7,1,3,5]=>[1,3,5,2,7,4,8,6]=>[1,5,3,7,2,8,4,6]=>[4,3,1]
[8,3,7,2,6,1,4,5]=>[1,4,5,2,6,3,7,8]=>[1,5,6,4,2,3,7,8]=>[5,2,1]
[8,4,7,2,6,1,3,5]=>[1,3,5,2,6,4,7,8]=>[1,5,3,6,2,4,7,8]=>[5,2,1]
[6,5,3,2,8,1,4,7]=>[1,4,7,2,8,3,5,6]=>[1,7,8,4,3,5,2,6]=>[4,2,1,1]
[7,6,5,3,8,1,2,4]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,8,5,6,7]=>[6,2]
[8,5,3,2,7,1,4,6]=>[1,4,6,2,7,3,5,8]=>[1,6,7,4,3,2,5,8]=>[4,2,1,1]
[8,7,4,2,6,1,3,5]=>[1,3,5,2,6,4,7,8]=>[1,5,3,6,2,4,7,8]=>[5,2,1]
[8,7,6,2,4,1,3,5]=>[1,3,5,2,4,6,7,8]=>[1,5,3,2,4,6,7,8]=>[6,1,1]
[4,8,3,7,2,6,1,5]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[5,3]
[5,8,3,7,2,6,1,4]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>[5,3]
[5,8,4,7,2,6,1,3]=>[1,3,2,6,4,7,5,8]=>[1,3,2,6,7,4,5,8]=>[5,3]
[5,8,4,7,3,6,1,2]=>[1,2,3,6,4,7,5,8]=>[1,2,3,6,7,4,5,8]=>[6,2]
[6,8,3,7,2,5,1,4]=>[1,4,2,5,3,7,6,8]=>[1,4,5,2,3,7,6,8]=>[5,3]
[6,8,4,7,2,5,1,3]=>[1,3,2,5,4,7,6,8]=>[1,3,2,5,4,7,6,8]=>[5,3]
[6,8,4,7,3,5,1,2]=>[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>[6,2]
[6,8,5,7,2,4,1,3]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[6,2]
[6,8,5,7,3,4,1,2]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>[7,1]
[7,8,3,6,2,5,1,4]=>[1,4,2,5,3,6,7,8]=>[1,4,5,2,3,6,7,8]=>[6,2]
[7,8,4,6,2,5,1,3]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[6,2]
[7,8,4,6,3,5,1,2]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[7,1]
[7,8,5,6,2,4,1,3]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[7,1]
[6,4,3,8,2,7,1,5]=>[1,5,2,7,3,8,4,6]=>[1,5,7,8,2,4,3,6]=>[4,3,1]
[7,5,3,8,2,6,1,4]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,8,3,5,7]=>[5,3]
[7,6,4,8,2,5,1,3]=>[1,3,2,5,4,8,6,7]=>[1,3,2,5,4,8,6,7]=>[5,3]
[8,5,3,7,2,6,1,4]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>[5,3]
[8,6,4,7,2,5,1,3]=>[1,3,2,5,4,7,6,8]=>[1,3,2,5,4,7,6,8]=>[5,3]
[8,7,5,6,2,4,1,3]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[7,1]
[8,7,5,4,2,6,1,3]=>[1,3,2,6,4,5,7,8]=>[1,3,2,6,4,5,7,8]=>[6,2]
[8,7,6,5,2,4,1,3]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[7,1]
[4,1,2,7,6,3,8,5]=>[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]=>[5,2,1]
[6,1,4,2,3,8,5,7]=>[1,4,2,3,8,5,7,6]=>[1,4,2,3,8,7,5,6]=>[5,2,1]
[6,1,5,2,3,8,4,7]=>[1,5,2,3,8,4,7,6]=>[1,5,2,8,3,7,4,6]=>[5,2,1]
[7,1,4,2,6,3,8,5]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,8,3,5,7]=>[5,3]
[8,1,5,2,7,3,4,6]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>[5,2,1]
[7,1,5,2,6,3,8,4]=>[1,5,2,6,3,8,4,7]=>[1,5,6,8,2,3,4,7]=>[5,3]
[5,1,4,2,8,7,3,6]=>[1,4,2,8,3,6,5,7]=>[1,4,8,2,6,3,5,7]=>[5,2,1]
[3,1,8,6,2,7,4,5]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[5,1,1,1]
[7,1,8,6,2,3,4,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[5,4,1,2,8,3,6,7]=>[1,2,8,3,6,7,4,5]=>[1,2,8,7,4,3,6,5]=>[4,2,1,1]
[5,7,1,2,6,3,8,4]=>[1,2,6,3,8,4,5,7]=>[1,2,6,8,4,3,5,7]=>[5,2,1]
[4,3,1,6,2,8,5,7]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[5,2,1]
[7,3,1,6,2,4,8,5]=>[1,6,2,4,8,3,5,7]=>[1,6,8,2,3,4,5,7]=>[6,2]
[8,3,1,5,2,7,4,6]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>[5,2,1]
[7,4,1,5,2,3,8,6]=>[1,5,2,3,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>[6,2]
[7,4,1,8,2,3,5,6]=>[1,8,2,3,5,6,4,7]=>[1,8,2,6,3,5,4,7]=>[5,1,1,1]
[8,7,1,6,2,3,4,5]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[7,1]
[6,8,1,5,2,7,3,4]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>[5,2,1]
[6,3,4,1,2,7,8,5]=>[1,2,7,8,3,4,5,6]=>[1,2,8,3,4,5,7,6]=>[6,1,1]
[7,3,5,1,2,4,8,6]=>[1,2,4,8,3,5,6,7]=>[1,2,8,4,3,5,6,7]=>[6,1,1]
[6,3,8,1,2,7,4,5]=>[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]=>[5,2,1]
[7,5,4,1,2,3,8,6]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[7,1]
[8,5,4,1,2,7,3,6]=>[1,2,7,3,6,4,5,8]=>[1,2,7,6,4,3,5,8]=>[5,1,1,1]
[7,3,4,1,6,2,8,5]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[5,2,1]
[7,3,5,1,6,2,8,4]=>[1,6,2,8,3,5,4,7]=>[1,6,8,5,3,2,4,7]=>[4,2,1,1]
[2,3,4,8,6,1,5,7]=>[1,5,7,2,3,4,8,6]=>[1,7,2,3,5,8,4,6]=>[5,2,1]
[2,3,4,8,6,7,1,5]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>[6,2]
[6,5,8,7,3,4,1,2]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>[7,1]
[4,6,7,3,8,5,1,2]=>[1,2,3,8,4,6,7,5]=>[1,2,3,8,7,4,6,5]=>[5,1,1,1]
[3,6,7,4,5,8,1,2]=>[1,2,3,6,7,4,5,8]=>[1,2,3,7,4,6,5,8]=>[6,1,1]
[5,4,3,8,7,6,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[7,1]
[6,3,8,4,5,7,1,2]=>[1,2,3,8,4,5,7,6]=>[1,2,3,8,4,7,5,6]=>[6,1,1]
[6,2,8,4,5,1,7,3]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[5,2,1]
[7,8,1,4,5,2,3,6]=>[1,4,5,2,3,6,7,8]=>[1,5,2,4,3,6,7,8]=>[6,1,1]
[6,3,8,2,1,7,5,4]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[5,2,1]
[7,8,3,2,1,6,5,4]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[7,1]
[5,4,2,8,7,1,6,3]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[5,2,1]
[1,5,3,7,2,6,4,8]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[5,3]
[4,6,7,2,8,1,5,3]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[5,2,1]
[5,6,7,8,2,1,4,3]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[7,1]
[7,8,5,6,2,1,4,3]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[7,1]
[6,5,8,7,1,2,3,4]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>[7,1]
[6,4,8,1,7,2,3,5]=>[1,7,2,3,5,4,8,6]=>[1,7,2,5,3,8,4,6]=>[5,2,1]
[5,3,1,8,2,7,4,6]=>[1,8,2,7,3,4,6,5]=>[1,8,7,3,6,4,2,5]=>[4,1,1,1,1]
[4,3,1,2,8,7,5,6]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[7,1]
[8,4,3,6,5,1,2,7]=>[1,2,7,3,6,4,5,8]=>[1,2,7,6,4,3,5,8]=>[5,1,1,1]
[4,1,2,6,5,8,7,3]=>[1,2,6,3,4,5,8,7]=>[1,2,6,3,4,5,8,7]=>[6,2]
[5,1,6,2,4,8,7,3]=>[1,6,2,4,8,3,5,7]=>[1,6,8,2,3,4,5,7]=>[6,2]
[8,1,5,4,7,6,2,3]=>[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>[6,2]
[4,1,2,7,8,5,6,3]=>[1,2,7,8,3,4,5,6]=>[1,2,8,3,4,5,7,6]=>[6,1,1]
[3,2,1,7,8,5,6,4]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[6,1,1]
[4,8,2,7,1,5,3,6]=>[1,5,2,7,3,6,4,8]=>[1,5,7,6,2,3,4,8]=>[5,2,1]
[5,8,7,2,1,4,3,6]=>[1,4,2,3,6,5,8,7]=>[1,4,2,3,6,5,8,7]=>[5,3]
[6,8,7,1,2,4,3,5]=>[1,2,4,3,5,6,8,7]=>[1,2,4,3,5,6,8,7]=>[6,2]
[8,7,6,1,4,3,2,5]=>[1,4,2,5,3,6,7,8]=>[1,4,5,2,3,6,7,8]=>[6,2]
[1,6,7,8,3,4,5,2]=>[1,6,7,8,2,3,4,5]=>[1,8,2,3,4,6,7,5]=>[6,1,1]
[4,6,2,8,3,1,5,7]=>[1,5,7,2,8,3,4,6]=>[1,7,8,3,5,4,2,6]=>[4,2,1,1]
[5,6,8,2,3,1,4,7]=>[1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>[6,1,1]
[1,5,7,3,8,4,6,2]=>[1,5,7,2,3,8,4,6]=>[1,7,2,8,5,4,3,6]=>[4,2,1,1]
[1,4,3,7,8,5,6,2]=>[1,4,2,3,7,8,5,6]=>[1,4,2,3,8,5,7,6]=>[5,2,1]
[6,4,3,8,2,1,5,7]=>[1,5,7,2,3,8,4,6]=>[1,7,2,8,5,4,3,6]=>[4,2,1,1]
[4,5,2,3,1,8,7,6]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[6,4,3,1,2,8,7,5]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[7,1]
[7,4,3,1,8,2,6,5]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[5,1,1,1]
[5,6,1,2,3,8,7,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[7,1]
[3,2,7,1,8,4,6,5]=>[1,8,2,7,3,4,6,5]=>[1,8,7,3,6,4,2,5]=>[4,1,1,1,1]
[6,7,1,8,2,3,5,4]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>[6,1,1]
[7,6,1,8,3,2,5,4]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[5,1,1,1]
[6,8,1,7,2,5,3,4]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>[5,1,1,1]
[3,2,8,1,7,6,4,5]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[5,2,1]
[4,1,2,8,7,6,5,3]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[7,1]
[5,1,8,2,7,6,4,3]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[5,1,1,1]
[5,2,6,1,7,3,8,4]=>[1,7,2,6,3,8,4,5]=>[1,7,6,8,4,2,3,5]=>[4,2,1,1]
[4,2,6,1,7,3,8,5]=>[1,7,2,6,3,8,4,5]=>[1,7,6,8,4,2,3,5]=>[4,2,1,1]
[3,2,5,1,7,4,8,6]=>[1,7,2,5,3,4,8,6]=>[1,7,5,3,2,8,4,6]=>[4,2,1,1]
[3,2,4,1,7,5,8,6]=>[1,7,2,4,3,5,8,6]=>[1,7,4,2,3,8,5,6]=>[5,2,1]
[3,2,5,1,7,6,8,4]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>[5,1,1,1]
[3,1,5,2,7,6,8,4]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>[5,2,1]
[4,1,6,5,7,3,8,2]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>[5,2,1]
[8,6,1,3,4,2,5,7]=>[1,3,4,2,5,7,6,8]=>[1,4,3,2,5,7,6,8]=>[5,2,1]
[8,2,5,1,3,6,4,7]=>[1,3,6,2,5,4,7,8]=>[1,6,3,5,2,4,7,8]=>[5,2,1]
[1,7,4,8,6,3,5,2]=>[1,7,2,3,5,4,8,6]=>[1,7,2,5,3,8,4,6]=>[5,2,1]
[3,7,6,5,8,2,1,4]=>[1,4,2,3,7,5,8,6]=>[1,4,2,3,7,8,5,6]=>[5,3]
[2,1,6,5,7,8,3,4]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[7,1]
[5,3,7,2,1,8,4,6]=>[1,8,2,3,7,4,6,5]=>[1,8,2,7,6,4,3,5]=>[4,1,1,1,1]
[4,7,3,2,1,5,8,6]=>[1,5,8,2,3,4,7,6]=>[1,8,2,3,5,7,4,6]=>[5,2,1]
[4,7,2,1,3,5,8,6]=>[1,3,5,8,2,4,7,6]=>[1,8,3,2,5,7,4,6]=>[4,3,1]
[8,5,7,3,2,1,6,4]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[7,1]
[8,5,3,7,1,6,2,4]=>[1,6,2,4,3,7,5,8]=>[1,6,4,2,7,3,5,8]=>[5,2,1]
[8,5,7,2,1,3,6,4]=>[1,3,6,2,4,5,7,8]=>[1,6,3,2,4,5,7,8]=>[6,1,1]
[4,6,1,8,7,2,5,3]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[5,1,1,1]
[8,2,6,5,7,4,1,3]=>[1,3,2,6,4,5,7,8]=>[1,3,2,6,4,5,7,8]=>[6,2]
[4,2,6,5,3,8,1,7]=>[1,7,2,6,3,8,4,5]=>[1,7,6,8,4,2,3,5]=>[4,2,1,1]
[5,4,3,2,7,1,8,6]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[5,1,1,1]
[7,5,3,1,8,6,4,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[6,5,2,1,7,3,8,4]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[5,2,1]
[6,7,2,1,8,3,4,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[7,5,8,2,1,3,4,6]=>[1,3,4,6,2,5,8,7]=>[1,6,3,4,2,5,8,7]=>[5,2,1]
[5,7,3,1,8,2,4,6]=>[1,8,2,4,6,3,5,7]=>[1,8,6,2,3,4,5,7]=>[6,1,1]
[4,7,1,5,2,8,3,6]=>[1,5,2,8,3,6,4,7]=>[1,5,8,6,2,3,4,7]=>[5,2,1]
[2,4,8,6,3,7,5,1]=>[1,2,4,8,3,7,5,6]=>[1,2,8,4,7,5,3,6]=>[5,1,1,1]
[7,3,6,2,4,1,8,5]=>[1,8,2,4,3,6,5,7]=>[1,8,4,2,6,3,5,7]=>[5,2,1]
[4,3,7,8,2,1,5,6]=>[1,5,6,2,3,7,8,4]=>[1,6,2,8,5,3,7,4]=>[4,2,2]
[3,8,2,5,7,1,6,4]=>[1,6,2,5,7,3,8,4]=>[1,6,7,8,2,5,3,4]=>[4,3,1]
[5,8,3,7,1,6,2,4]=>[1,6,2,4,3,7,5,8]=>[1,6,4,2,7,3,5,8]=>[5,2,1]
[6,4,8,1,7,2,5,3]=>[1,7,2,5,3,4,8,6]=>[1,7,5,3,2,8,4,6]=>[4,2,1,1]
[6,5,2,8,1,7,4,3]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[5,2,1]
[5,2,7,1,8,6,4,3]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[5,1,1,1]
[6,3,5,1,2,4,8,7]=>[1,2,4,8,3,5,6,7]=>[1,2,8,4,3,5,6,7]=>[6,1,1]
[6,1,2,4,5,3,8,7]=>[1,2,4,5,3,8,6,7]=>[1,2,5,4,3,8,6,7]=>[5,2,1]
[5,6,3,2,1,4,8,7]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>[6,1,1]
[4,1,6,3,8,5,7,2]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>[5,2,1]
[2,1,5,7,4,8,6,3]=>[1,5,7,2,3,4,8,6]=>[1,7,2,3,5,8,4,6]=>[5,2,1]
[3,1,8,2,7,6,5,4]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[5,1,1,1]
[2,8,1,3,6,5,7,4]=>[1,3,6,2,8,4,5,7]=>[1,6,3,8,4,2,5,7]=>[5,2,1]
[8,1,2,3,5,6,7,4]=>[1,2,3,5,6,7,4,8]=>[1,2,3,7,5,6,4,8]=>[6,1,1]
[7,8,2,4,3,6,1,5]=>[1,5,2,4,3,6,7,8]=>[1,5,4,2,3,6,7,8]=>[6,1,1]
[5,7,3,8,1,4,2,6]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,8,3,5,7]=>[5,3]
[7,1,8,4,5,3,2,6]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[5,1,1,1]
[8,7,1,6,3,4,2,5]=>[1,6,2,5,3,4,7,8]=>[1,6,5,3,2,4,7,8]=>[5,1,1,1]
[2,1,4,3,8,5,7,6]=>[1,4,2,3,8,5,7,6]=>[1,4,2,3,8,7,5,6]=>[5,2,1]
[4,1,3,2,6,7,8,5]=>[1,3,2,6,7,8,4,5]=>[1,3,2,8,4,6,7,5]=>[5,2,1]
[5,3,6,1,8,7,2,4]=>[1,8,2,4,3,6,5,7]=>[1,8,4,2,6,3,5,7]=>[5,2,1]
[7,8,5,6,1,4,2,3]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[7,1]
[5,8,3,6,1,7,2,4]=>[1,7,2,4,3,6,5,8]=>[1,7,4,2,6,3,5,8]=>[5,2,1]
[7,1,4,2,5,6,8,3]=>[1,4,2,5,6,8,3,7]=>[1,4,8,2,5,6,3,7]=>[5,2,1]
[4,5,2,6,3,1,8,7]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[5,1,1,1]
[6,3,1,5,2,4,8,7]=>[1,5,2,4,8,3,6,7]=>[1,5,8,2,4,3,6,7]=>[5,2,1]
[2,8,6,3,1,5,7,4]=>[1,5,7,2,8,3,4,6]=>[1,7,8,3,5,4,2,6]=>[4,2,1,1]
[2,8,4,1,6,3,7,5]=>[1,6,2,8,3,7,4,5]=>[1,6,8,7,4,2,3,5]=>[4,2,1,1]
[2,1,8,5,3,7,4,6]=>[1,8,2,3,7,4,6,5]=>[1,8,2,7,6,4,3,5]=>[4,1,1,1,1]
[2,4,1,8,7,6,5,3]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[6,1,1]
[4,1,2,8,7,5,6,3]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[7,1]
[7,3,5,4,8,6,1,2]=>[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,8,6,7]=>[6,2]
[6,4,3,5,8,1,7,2]=>[1,7,2,3,5,8,4,6]=>[1,7,2,8,3,4,5,6]=>[6,2]
[5,7,3,6,1,8,2,4]=>[1,8,2,4,3,6,5,7]=>[1,8,4,2,6,3,5,7]=>[5,2,1]
[2,7,6,4,5,8,1,3]=>[1,3,2,7,4,5,8,6]=>[1,3,2,7,4,8,5,6]=>[5,3]
[3,7,5,6,8,4,2,1]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>[7,1]
[5,7,1,6,8,2,4,3]=>[1,6,8,2,4,3,5,7]=>[1,8,4,2,3,6,5,7]=>[5,2,1]
[7,5,2,6,3,8,1,4]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,8,3,5,7]=>[5,3]
[4,1,2,3,6,8,7,5]=>[1,2,3,6,8,4,5,7]=>[1,2,3,8,4,6,5,7]=>[6,1,1]
[2,4,3,1,8,5,6,7]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[6,1,1]
[4,7,2,8,1,5,3,6]=>[1,5,2,8,3,6,4,7]=>[1,5,8,6,2,3,4,7]=>[5,2,1]
[5,7,3,8,1,4,6,2]=>[1,4,6,2,3,8,5,7]=>[1,6,2,4,8,3,5,7]=>[5,2,1]
[7,5,8,4,3,6,2,1]=>[1,2,3,6,4,5,8,7]=>[1,2,3,6,4,5,8,7]=>[6,2]
[7,8,2,1,6,5,3,4]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[7,1]
[7,8,4,1,2,3,6,5]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>[7,1]
[7,8,3,6,5,4,1,2]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>[7,1]
[3,6,8,4,7,5,1,2]=>[1,2,3,6,8,4,7,5]=>[1,2,3,8,7,6,4,5]=>[5,1,1,1]
[4,5,6,7,2,8,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[6,2]
[1,5,8,6,2,7,3,4]=>[1,5,8,2,7,3,4,6]=>[1,8,7,3,5,4,2,6]=>[4,1,1,1,1]
[5,1,6,3,4,2,8,7]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[5,2,1]
[5,7,1,4,2,3,8,6]=>[1,4,2,3,8,5,7,6]=>[1,4,2,3,8,7,5,6]=>[5,2,1]
[5,7,6,4,3,8,1,2]=>[1,2,3,8,4,5,7,6]=>[1,2,3,8,4,7,5,6]=>[6,1,1]
[6,3,4,5,8,7,1,2]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>[7,1]
[6,2,4,1,8,3,7,5]=>[1,8,2,4,3,7,5,6]=>[1,8,4,2,7,5,3,6]=>[4,2,1,1]
[6,2,3,5,4,8,1,7]=>[1,7,2,3,5,4,8,6]=>[1,7,2,5,3,8,4,6]=>[5,2,1]
[5,8,7,6,3,4,1,2]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>[7,1]
[2,1,8,7,6,5,3,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[7,6,1,2,5,8,3,4]=>[1,2,5,8,3,4,6,7]=>[1,2,8,3,5,4,6,7]=>[6,1,1]
[7,3,8,6,1,2,5,4]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>[6,2]
[1,8,2,7,3,4,5,6]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[5,1,1,1]
[1,6,2,8,3,5,4,7]=>[1,6,2,8,3,5,4,7]=>[1,6,8,5,3,2,4,7]=>[4,2,1,1]
[2,8,4,1,6,5,3,7]=>[1,6,2,8,3,7,4,5]=>[1,6,8,7,4,2,3,5]=>[4,2,1,1]
[2,8,7,4,1,6,3,5]=>[1,6,2,8,3,5,4,7]=>[1,6,8,5,3,2,4,7]=>[4,2,1,1]
[2,8,7,6,1,4,5,3]=>[1,4,5,2,8,3,6,7]=>[1,5,8,4,2,3,6,7]=>[5,2,1]
[6,2,3,8,5,1,7,4]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[5,2,1]
[6,3,2,8,5,1,4,7]=>[1,4,7,2,8,3,5,6]=>[1,7,8,4,3,5,2,6]=>[4,2,1,1]
[6,4,8,5,1,3,7,2]=>[1,3,7,2,4,8,5,6]=>[1,7,3,2,8,5,4,6]=>[4,2,2]
[3,4,1,2,7,6,8,5]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>[7,1]
[4,2,1,3,8,7,6,5]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>[6,1,1]
[6,5,8,2,4,3,1,7]=>[1,7,2,4,3,5,8,6]=>[1,7,4,2,3,8,5,6]=>[5,2,1]
[5,2,1,8,7,6,3,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[5,7,8,4,3,6,2,1]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>[7,1]
[7,3,5,6,8,4,2,1]=>[1,2,3,5,6,8,4,7]=>[1,2,3,8,5,6,4,7]=>[6,1,1]
[5,7,1,6,3,8,4,2]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>[5,2,1]
[3,2,4,1,7,8,5,6]=>[1,7,8,2,4,3,5,6]=>[1,8,4,2,3,5,7,6]=>[5,2,1]
[2,5,4,6,1,7,8,3]=>[1,7,8,2,5,3,4,6]=>[1,8,5,3,2,4,7,6]=>[4,2,1,1]
[7,2,1,4,3,6,5,8]=>[1,4,2,3,6,5,8,7]=>[1,4,2,3,6,5,8,7]=>[5,3]
[7,3,4,1,2,6,5,8]=>[1,2,6,3,4,5,8,7]=>[1,2,6,3,4,5,8,7]=>[6,2]
[7,4,3,2,1,6,5,8]=>[1,6,2,3,4,5,8,7]=>[1,6,2,3,4,5,8,7]=>[6,2]
[6,7,3,2,5,4,8,1]=>[1,2,5,3,4,8,6,7]=>[1,2,5,3,4,8,6,7]=>[6,2]
[1,8,3,2,5,4,7,6]=>[1,8,2,5,3,4,7,6]=>[1,8,5,3,2,7,4,6]=>[4,2,1,1]
[7,3,5,1,6,2,4,8]=>[1,6,2,4,8,3,5,7]=>[1,6,8,2,3,4,5,7]=>[6,2]
[2,3,8,1,5,4,7,6]=>[1,5,2,3,8,4,7,6]=>[1,5,2,8,3,7,4,6]=>[5,2,1]
[2,4,8,5,1,3,7,6]=>[1,3,7,2,4,8,5,6]=>[1,7,3,2,8,5,4,6]=>[4,2,2]
[2,7,8,5,6,3,4,1]=>[1,2,7,8,3,4,5,6]=>[1,2,8,3,4,5,7,6]=>[6,1,1]
[2,5,8,6,7,1,3,4]=>[1,3,4,2,5,8,6,7]=>[1,4,3,2,5,8,6,7]=>[5,2,1]
[5,4,7,6,1,8,3,2]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[5,1,1,1]
[4,5,7,6,8,1,3,2]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[6,2]
[1,8,5,6,7,2,3,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[4,6,5,7,8,2,1,3]=>[1,3,2,4,6,5,7,8]=>[1,3,2,4,6,5,7,8]=>[6,2]
[5,2,1,6,7,8,3,4]=>[1,6,7,8,2,3,4,5]=>[1,8,2,3,4,6,7,5]=>[6,1,1]
[6,2,1,5,7,3,8,4]=>[1,5,7,2,3,8,4,6]=>[1,7,2,8,5,4,3,6]=>[4,2,1,1]
[6,5,3,2,7,1,8,4]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[5,1,1,1]
[6,4,3,2,1,7,8,5]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[6,1,1]
[6,2,1,4,3,7,8,5]=>[1,4,2,3,7,8,5,6]=>[1,4,2,3,8,5,7,6]=>[5,2,1]
[4,5,3,2,8,1,7,6]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[5,2,1]
[1,8,3,2,7,6,5,4]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[5,1,1,1]
[1,8,4,7,2,6,5,3]=>[1,8,2,6,3,4,7,5]=>[1,8,6,3,7,2,4,5]=>[4,2,1,1]
[3,6,4,8,2,7,1,5]=>[1,5,2,7,3,6,4,8]=>[1,5,7,6,2,3,4,8]=>[5,2,1]
[3,4,5,8,1,2,7,6]=>[1,2,7,3,4,5,8,6]=>[1,2,7,3,4,8,5,6]=>[6,2]
[3,4,6,8,1,7,2,5]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>[5,1,1,1]
[3,5,6,8,7,1,2,4]=>[1,2,4,3,5,6,8,7]=>[1,2,4,3,5,6,8,7]=>[6,2]
[3,6,5,8,7,2,1,4]=>[1,4,2,3,6,5,8,7]=>[1,4,2,3,6,5,8,7]=>[5,3]
[3,5,7,8,6,1,4,2]=>[1,4,2,3,5,7,8,6]=>[1,4,2,3,5,8,7,6]=>[5,2,1]
[4,2,1,7,8,6,5,3]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[6,1,1]
[2,3,8,1,7,6,5,4]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[5,2,1]
[2,4,8,7,1,6,5,3]=>[1,6,2,4,8,3,5,7]=>[1,6,8,2,3,4,5,7]=>[6,2]
[8,1,5,3,7,2,6,4]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[5,3]
[3,7,8,5,6,2,1,4]=>[1,4,2,3,7,8,5,6]=>[1,4,2,3,8,5,7,6]=>[5,2,1]
[3,7,8,4,2,6,1,5]=>[1,5,2,6,3,7,8,4]=>[1,5,6,8,2,3,7,4]=>[4,3,1]
[3,5,4,2,8,7,1,6]=>[1,6,2,8,3,5,4,7]=>[1,6,8,5,3,2,4,7]=>[4,2,1,1]
[5,4,2,3,1,8,6,7]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[6,5,3,1,8,2,7,4]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[5,1,1,1]
[6,5,4,1,8,7,2,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[7,5,1,4,8,6,2,3]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>[6,1,1]
[7,4,1,3,2,8,6,5]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[6,2]
[2,6,5,8,7,3,4,1]=>[1,2,6,3,4,5,8,7]=>[1,2,6,3,4,5,8,7]=>[6,2]
[7,6,1,8,2,3,4,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[7,6,1,8,4,5,2,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[6,7,8,1,4,5,2,3]=>[1,4,5,2,3,6,7,8]=>[1,5,2,4,3,6,7,8]=>[6,1,1]
[6,7,8,1,3,2,5,4]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[6,2]
[2,5,6,7,8,3,4,1]=>[1,2,5,6,7,8,3,4]=>[1,2,8,3,5,6,7,4]=>[6,1,1]
[5,7,8,3,1,2,6,4]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>[7,1]
[5,7,8,4,1,6,2,3]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[7,1]
[5,3,6,7,1,2,8,4]=>[1,2,8,3,6,7,4,5]=>[1,2,8,7,4,3,6,5]=>[4,2,1,1]
[3,5,6,7,8,2,1,4]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[7,1]
[3,4,6,7,2,8,1,5]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[5,2,1]
[7,4,6,1,8,3,5,2]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>[6,1,1]
[7,3,5,1,8,4,6,2]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>[6,1,1]
[7,3,4,1,8,5,6,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[7,5,6,1,8,3,4,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[7,6,1,5,8,3,2,4]=>[1,5,8,2,4,3,6,7]=>[1,8,4,2,5,3,6,7]=>[5,2,1]
[3,6,7,1,5,8,2,4]=>[1,5,8,2,4,3,6,7]=>[1,8,4,2,5,3,6,7]=>[5,2,1]
[5,2,3,1,8,6,7,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[6,2,5,1,8,4,7,3]=>[1,8,2,5,3,4,7,6]=>[1,8,5,3,2,7,4,6]=>[4,2,1,1]
[7,1,5,3,8,2,6,4]=>[1,5,2,6,3,8,4,7]=>[1,5,6,8,2,3,4,7]=>[5,3]
[7,1,4,3,8,2,6,5]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,8,3,5,7]=>[5,3]
[7,1,3,5,8,2,4,6]=>[1,3,5,8,2,4,6,7]=>[1,8,3,2,5,4,6,7]=>[5,2,1]
[7,8,4,2,5,1,3,6]=>[1,3,6,2,5,4,7,8]=>[1,6,3,5,2,4,7,8]=>[5,2,1]
[7,8,1,5,4,6,3,2]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>[7,1]
[7,8,2,1,6,3,4,5]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[7,1]
[2,6,4,8,3,7,1,5]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[5,3]
[3,5,8,4,7,6,1,2]=>[1,2,3,5,8,4,7,6]=>[1,2,3,8,5,7,4,6]=>[5,2,1]
[6,4,7,3,5,8,1,2]=>[1,2,3,5,8,4,7,6]=>[1,2,3,8,5,7,4,6]=>[5,2,1]
[3,5,6,7,8,1,4,2]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[7,1]
[3,6,5,7,8,2,1,4]=>[1,4,2,3,6,5,7,8]=>[1,4,2,3,6,5,7,8]=>[6,2]
[2,7,1,8,5,3,4,6]=>[1,8,2,7,3,4,6,5]=>[1,8,7,3,6,4,2,5]=>[4,1,1,1,1]
[3,7,6,8,5,4,1,2]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>[7,1]
[4,3,8,5,6,7,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[7,1]
[4,2,8,1,6,3,7,5]=>[1,6,2,8,3,7,4,5]=>[1,6,8,7,4,2,3,5]=>[4,2,1,1]
[5,7,8,6,1,3,4,2]=>[1,3,4,2,5,7,8,6]=>[1,4,3,2,5,8,7,6]=>[4,2,2]
[3,6,4,5,8,7,1,2]=>[1,2,3,6,4,5,8,7]=>[1,2,3,6,4,5,8,7]=>[6,2]
[7,5,2,4,3,1,6,8]=>[1,6,8,2,4,3,5,7]=>[1,8,4,2,3,6,5,7]=>[5,2,1]
[6,8,1,3,7,5,4,2]=>[1,3,7,2,4,5,6,8]=>[1,7,3,2,4,5,6,8]=>[6,1,1]
[7,4,6,3,1,5,2,8]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[5,2,1]
[4,1,2,8,5,6,7,3]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[7,1]
[5,3,8,7,6,2,4,1]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,8,5,6,7]=>[6,2]
[5,8,4,7,6,2,1,3]=>[1,3,2,4,7,5,8,6]=>[1,3,2,4,7,8,5,6]=>[5,3]
[5,8,7,4,3,6,1,2]=>[1,2,3,6,4,5,8,7]=>[1,2,3,6,4,5,8,7]=>[6,2]
[6,4,8,3,1,7,2,5]=>[1,7,2,5,3,4,8,6]=>[1,7,5,3,2,8,4,6]=>[4,2,1,1]
[6,4,2,8,7,1,3,5]=>[1,3,5,2,8,4,6,7]=>[1,5,3,8,2,4,6,7]=>[5,2,1]
[6,3,8,7,2,5,1,4]=>[1,4,2,5,3,8,6,7]=>[1,4,5,2,3,8,6,7]=>[5,3]
[5,1,8,4,6,2,7,3]=>[1,8,2,7,3,4,6,5]=>[1,8,7,3,6,4,2,5]=>[4,1,1,1,1]
[5,8,7,4,1,6,2,3]=>[1,6,2,3,4,5,8,7]=>[1,6,2,3,4,5,8,7]=>[6,2]
[6,8,5,3,1,2,7,4]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>[7,1]
[4,2,6,1,7,3,5,8]=>[1,7,2,6,3,5,8,4]=>[1,7,6,8,3,2,5,4]=>[3,2,2,1]
[1,2,7,5,3,8,6,4]=>[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]=>[5,2,1]
[4,1,2,7,3,8,6,5]=>[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]=>[5,2,1]
[7,1,4,2,5,3,8,6]=>[1,4,2,5,3,8,6,7]=>[1,4,5,2,3,8,6,7]=>[5,3]
[3,1,2,6,8,5,4,7]=>[1,2,6,8,3,4,7,5]=>[1,2,8,3,7,6,4,5]=>[5,1,1,1]
[2,4,1,7,8,6,5,3]=>[1,7,8,2,4,3,5,6]=>[1,8,4,2,3,5,7,6]=>[5,2,1]
[5,2,8,4,7,1,6,3]=>[1,6,2,8,3,4,7,5]=>[1,6,8,3,7,2,4,5]=>[4,2,2]
[6,3,8,2,7,1,5,4]=>[1,5,2,7,3,8,4,6]=>[1,5,7,8,2,4,3,6]=>[4,3,1]
[7,5,1,3,6,2,4,8]=>[1,3,6,2,4,8,5,7]=>[1,6,3,2,8,4,5,7]=>[5,2,1]
[4,1,6,2,8,3,7,5]=>[1,6,2,8,3,7,4,5]=>[1,6,8,7,4,2,3,5]=>[4,2,1,1]
[1,6,2,8,5,3,7,4]=>[1,6,2,8,3,7,4,5]=>[1,6,8,7,4,2,3,5]=>[4,2,1,1]
[5,6,7,3,1,8,4,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[5,6,2,1,7,8,4,3]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[6,1,1]
[5,6,3,7,1,2,4,8]=>[1,2,4,8,3,7,5,6]=>[1,2,8,4,7,5,3,6]=>[5,1,1,1]
[6,4,7,2,8,1,5,3]=>[1,5,2,8,3,4,7,6]=>[1,5,8,3,2,7,4,6]=>[4,2,2]
[6,7,4,8,3,1,5,2]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>[6,2]
[5,7,3,8,2,6,1,4]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,8,3,5,7]=>[5,3]
[5,8,7,2,1,6,4,3]=>[1,6,2,3,4,5,8,7]=>[1,6,2,3,4,5,8,7]=>[6,2]
[6,4,3,8,2,1,7,5]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[5,2,1]
[5,4,3,2,8,1,7,6]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[5,2,1]
[4,5,2,3,8,1,7,6]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[5,2,1]
[3,2,5,4,8,1,7,6]=>[1,7,2,5,3,4,8,6]=>[1,7,5,3,2,8,4,6]=>[4,2,1,1]
[6,4,3,1,5,2,7,8]=>[1,5,2,7,8,3,4,6]=>[1,5,8,3,2,4,7,6]=>[4,2,2]
[4,6,2,1,5,3,7,8]=>[1,5,2,3,7,8,4,6]=>[1,5,2,8,3,4,7,6]=>[5,2,1]
[5,8,7,3,4,1,2,6]=>[1,2,6,3,4,5,8,7]=>[1,2,6,3,4,5,8,7]=>[6,2]
[6,7,3,8,5,1,2,4]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,8,5,6,7]=>[6,2]
[6,7,4,5,1,8,3,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[5,4,7,6,2,3,8,1]=>[1,2,3,8,4,7,5,6]=>[1,2,3,8,7,5,4,6]=>[5,1,1,1]
[4,3,8,7,6,1,2,5]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>[6,2]
[4,5,6,7,1,8,3,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[8,1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[6,2]
[2,4,1,6,8,7,5,3]=>[1,6,8,2,4,3,5,7]=>[1,8,4,2,3,6,5,7]=>[5,2,1]
[8,4,2,6,1,5,3,7]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[5,3]
[4,2,8,7,1,6,3,5]=>[1,6,2,8,3,5,4,7]=>[1,6,8,5,3,2,4,7]=>[4,2,1,1]
[6,7,3,1,5,8,4,2]=>[1,5,8,2,3,4,6,7]=>[1,8,2,3,5,4,6,7]=>[6,1,1]
[6,7,2,1,8,5,4,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[6,7,2,8,1,5,3,4]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[5,2,1]
[6,7,8,2,1,4,3,5]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[7,1]
[3,1,8,2,7,4,6,5]=>[1,8,2,7,3,4,6,5]=>[1,8,7,3,6,4,2,5]=>[4,1,1,1,1]
[3,1,2,8,7,5,6,4]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[7,1]
[2,1,8,3,4,7,6,5]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[5,1,1,1]
[3,4,7,1,8,6,5,2]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[5,1,1,1]
[3,6,2,7,4,5,8,1]=>[1,2,7,3,6,4,5,8]=>[1,2,7,6,4,3,5,8]=>[5,1,1,1]
[7,6,1,8,4,3,2,5]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[5,1,1,1]
[7,1,2,8,3,5,4,6]=>[1,2,8,3,5,4,6,7]=>[1,2,8,5,3,4,6,7]=>[6,1,1]
[1,5,3,4,6,8,2,7]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>[5,2,1]
[6,5,1,8,7,4,2,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[4,7,1,8,6,5,2,3]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[5,1,1,1]
[6,7,4,8,3,5,1,2]=>[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,8,6,7]=>[6,2]
[6,7,4,5,2,8,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[6,2]
[5,7,4,6,3,8,1,2]=>[1,2,3,8,4,6,5,7]=>[1,2,3,8,6,4,5,7]=>[6,1,1]
[6,8,4,5,3,7,1,2]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>[7,1]
[5,8,4,6,3,7,1,2]=>[1,2,3,7,4,6,5,8]=>[1,2,3,7,6,4,5,8]=>[6,1,1]
[5,6,4,8,2,7,1,3]=>[1,3,2,7,4,8,5,6]=>[1,3,2,7,8,5,4,6]=>[4,3,1]
[6,8,4,5,2,7,1,3]=>[1,3,2,7,4,5,6,8]=>[1,3,2,7,4,5,6,8]=>[6,2]
[7,8,4,5,2,6,1,3]=>[1,3,2,6,4,5,7,8]=>[1,3,2,6,4,5,7,8]=>[6,2]
[5,8,3,6,2,4,1,7]=>[1,7,2,4,3,6,5,8]=>[1,7,4,2,6,3,5,8]=>[5,2,1]
[7,8,3,5,2,4,1,6]=>[1,6,2,4,3,5,7,8]=>[1,6,4,2,3,5,7,8]=>[6,1,1]
[4,8,3,6,2,7,1,5]=>[1,5,2,7,3,6,4,8]=>[1,5,7,6,2,3,4,8]=>[5,2,1]
[4,7,3,6,2,5,1,8]=>[1,8,2,5,3,6,4,7]=>[1,8,5,6,2,3,4,7]=>[5,2,1]
[4,7,3,6,2,8,1,5]=>[1,5,2,8,3,6,4,7]=>[1,5,8,6,2,3,4,7]=>[5,2,1]
[4,7,3,8,2,6,1,5]=>[1,5,2,6,3,8,4,7]=>[1,5,6,8,2,3,4,7]=>[5,3]
[5,7,3,6,2,8,1,4]=>[1,4,2,8,3,6,5,7]=>[1,4,8,2,6,3,5,7]=>[5,2,1]
[5,7,3,6,2,4,1,8]=>[1,8,2,4,3,6,5,7]=>[1,8,4,2,6,3,5,7]=>[5,2,1]
[6,7,3,5,2,4,1,8]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[6,1,1]
[6,7,3,5,2,8,1,4]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>[6,2]
[6,7,3,8,2,5,1,4]=>[1,4,2,5,3,8,6,7]=>[1,4,5,2,3,8,6,7]=>[5,3]
[6,7,4,8,2,5,1,3]=>[1,3,2,5,4,8,6,7]=>[1,3,2,5,4,8,6,7]=>[5,3]
[6,7,5,8,2,4,1,3]=>[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,8,6,7]=>[6,2]
[6,8,5,7,2,3,1,4]=>[1,4,2,3,5,7,6,8]=>[1,4,2,3,5,7,6,8]=>[6,2]
[6,7,4,8,2,3,1,5]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>[6,2]
[6,7,3,8,2,4,1,5]=>[1,5,2,4,3,8,6,7]=>[1,5,4,2,3,8,6,7]=>[5,2,1]
[5,7,4,8,2,3,1,6]=>[1,6,2,3,4,8,5,7]=>[1,6,2,3,8,4,5,7]=>[6,2]
[6,8,4,7,2,3,1,5]=>[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>[6,2]
[7,8,4,6,2,3,1,5]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>[7,1]
[7,8,3,6,2,4,1,5]=>[1,5,2,4,3,6,7,8]=>[1,5,4,2,3,6,7,8]=>[6,1,1]
[5,8,3,7,2,4,1,6]=>[1,6,2,4,3,7,5,8]=>[1,6,4,2,7,3,5,8]=>[5,2,1]
[4,7,3,8,2,5,1,6]=>[1,6,2,5,3,8,4,7]=>[1,6,5,8,2,3,4,7]=>[5,2,1]
[7,4,5,3,1,8,2,6]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[5,1,1,1]
[6,4,7,1,8,2,5,3]=>[1,8,2,5,3,4,7,6]=>[1,8,5,3,2,7,4,6]=>[4,2,1,1]
[5,7,8,6,2,3,1,4]=>[1,4,2,3,5,7,8,6]=>[1,4,2,3,5,8,7,6]=>[5,2,1]
[5,8,7,6,3,2,1,4]=>[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]=>[6,2]
[6,8,4,2,7,5,1,3]=>[1,3,2,7,4,5,6,8]=>[1,3,2,7,4,5,6,8]=>[6,2]
[5,7,4,2,3,8,1,6]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>[5,2,1]
[5,8,6,7,3,1,2,4]=>[1,2,4,3,5,8,6,7]=>[1,2,4,3,5,8,6,7]=>[6,2]
[6,7,5,8,1,3,4,2]=>[1,3,4,2,5,8,6,7]=>[1,4,3,2,5,8,6,7]=>[5,2,1]
[7,4,6,3,8,1,2,5]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>[6,2]
[7,5,6,8,1,4,2,3]=>[1,4,2,3,5,6,8,7]=>[1,4,2,3,5,6,8,7]=>[6,2]
[5,1,8,4,7,6,2,3]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[5,1,1,1]
[6,1,4,5,3,7,8,2]=>[1,4,5,2,3,7,8,6]=>[1,5,2,4,3,8,7,6]=>[4,2,2]
[5,1,7,8,6,2,4,3]=>[1,7,8,2,4,3,5,6]=>[1,8,4,2,3,5,7,6]=>[5,2,1]
[2,3,8,5,6,1,7,4]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[5,2,1]
[7,4,5,6,3,1,8,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[7,5,3,6,2,8,1,4]=>[1,4,2,8,3,6,5,7]=>[1,4,8,2,6,3,5,7]=>[5,2,1]
[8,7,5,4,1,6,2,3]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[7,1]
[2,6,4,1,8,5,7,3]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[5,1,1,1]
[6,1,2,3,8,5,7,4]=>[1,2,3,8,4,5,7,6]=>[1,2,3,8,4,7,5,6]=>[6,1,1]
[7,1,2,3,6,5,8,4]=>[1,2,3,6,4,5,8,7]=>[1,2,3,6,4,5,8,7]=>[6,2]
[1,4,2,7,8,6,3,5]=>[1,4,2,7,8,3,5,6]=>[1,4,8,2,3,5,7,6]=>[5,2,1]
[7,8,3,6,5,2,1,4]=>[1,4,2,3,6,5,7,8]=>[1,4,2,3,6,5,7,8]=>[6,2]
[4,7,2,8,6,1,5,3]=>[1,5,2,8,3,4,7,6]=>[1,5,8,3,2,7,4,6]=>[4,2,2]
[7,2,5,1,8,3,4,6]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[5,1,1,1]
[5,2,6,7,8,4,1,3]=>[1,3,2,6,7,8,4,5]=>[1,3,2,8,4,6,7,5]=>[5,2,1]
[6,7,3,8,5,2,1,4]=>[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>[6,2]
[4,6,2,7,8,1,5,3]=>[1,5,2,7,8,3,4,6]=>[1,5,8,3,2,4,7,6]=>[4,2,2]
[7,8,3,4,2,1,6,5]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[7,1]
[5,6,3,4,1,2,8,7]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[7,1]
[2,1,7,8,5,6,3,4]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[6,1,1]
[8,5,7,4,2,6,3,1]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>[7,1]
[7,8,4,6,1,5,2,3]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>[7,1]
[7,8,1,6,4,5,2,3]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[7,1]
[1,8,6,7,4,5,2,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[1,8,6,7,3,5,2,4]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[6,1,1]
[7,8,1,6,3,5,2,4]=>[1,6,2,4,3,5,7,8]=>[1,6,4,2,3,5,7,8]=>[6,1,1]
[7,8,3,6,1,5,2,4]=>[1,5,2,4,3,6,7,8]=>[1,5,4,2,3,6,7,8]=>[6,1,1]
[7,8,3,6,4,5,1,2]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>[7,1]
[7,8,2,6,4,5,1,3]=>[1,3,2,6,4,5,7,8]=>[1,3,2,6,4,5,7,8]=>[6,2]
[6,8,2,7,1,5,3,4]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>[5,2,1]
[6,8,2,7,4,5,1,3]=>[1,3,2,7,4,5,6,8]=>[1,3,2,7,4,5,6,8]=>[6,2]
[6,8,3,7,4,5,1,2]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>[7,1]
[3,8,6,7,4,5,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[7,1]
[2,8,6,7,4,5,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[6,2]
[2,8,6,7,3,5,1,4]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>[6,2]
[2,8,4,7,3,6,1,5]=>[1,5,2,8,3,6,4,7]=>[1,5,8,6,2,3,4,7]=>[5,2,1]
[2,8,5,7,3,6,1,4]=>[1,4,2,8,3,6,5,7]=>[1,4,8,2,6,3,5,7]=>[5,2,1]
[3,8,5,7,4,6,1,2]=>[1,2,3,8,4,6,5,7]=>[1,2,3,8,6,4,5,7]=>[6,1,1]
[5,8,3,7,4,6,1,2]=>[1,2,3,7,4,6,5,8]=>[1,2,3,7,6,4,5,8]=>[6,1,1]
[4,8,2,7,3,6,1,5]=>[1,5,2,7,3,6,4,8]=>[1,5,7,6,2,3,4,8]=>[5,2,1]
[1,8,4,7,3,6,2,5]=>[1,8,2,5,3,6,4,7]=>[1,8,5,6,2,3,4,7]=>[5,2,1]
[5,8,1,7,3,6,2,4]=>[1,7,2,4,3,6,5,8]=>[1,7,4,2,6,3,5,8]=>[5,2,1]
[1,8,5,7,3,6,2,4]=>[1,8,2,4,3,6,5,7]=>[1,8,4,2,6,3,5,7]=>[5,2,1]
[6,8,4,7,1,5,2,3]=>[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>[6,2]
[6,8,5,7,1,4,2,3]=>[1,4,2,3,5,7,6,8]=>[1,4,2,3,5,7,6,8]=>[6,2]
[5,8,6,7,3,4,1,2]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>[7,1]
[5,8,6,7,2,4,1,3]=>[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,8,6,7]=>[6,2]
[5,8,6,7,1,4,2,3]=>[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]=>[6,2]
[4,8,6,7,1,5,2,3]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>[6,2]
[4,8,5,7,1,6,2,3]=>[1,6,2,3,4,8,5,7]=>[1,6,2,3,8,4,5,7]=>[6,2]
[3,8,6,7,1,5,2,4]=>[1,5,2,4,3,8,6,7]=>[1,5,4,2,3,8,6,7]=>[5,2,1]
[3,8,6,7,2,5,1,4]=>[1,4,2,5,3,8,6,7]=>[1,4,5,2,3,8,6,7]=>[5,3]
[4,8,6,7,2,5,1,3]=>[1,3,2,5,4,8,6,7]=>[1,3,2,5,4,8,6,7]=>[5,3]
[4,8,6,7,3,5,1,2]=>[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,8,6,7]=>[6,2]
[3,8,5,7,2,6,1,4]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,8,3,5,7]=>[5,3]
[3,8,4,7,2,6,1,5]=>[1,5,2,6,3,8,4,7]=>[1,5,6,8,2,3,4,7]=>[5,3]
[3,8,4,7,1,6,2,5]=>[1,6,2,5,3,8,4,7]=>[1,6,5,8,2,3,4,7]=>[5,2,1]
[7,5,2,8,6,4,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[6,2]
[7,3,8,6,2,5,1,4]=>[1,4,2,5,3,8,6,7]=>[1,4,5,2,3,8,6,7]=>[5,3]
[7,4,2,8,6,1,3,5]=>[1,3,5,2,8,4,6,7]=>[1,5,3,8,2,4,6,7]=>[5,2,1]
[5,3,8,2,4,7,1,6]=>[1,6,2,4,7,3,8,5]=>[1,6,7,2,8,4,3,5]=>[4,3,1]
[5,4,3,8,1,2,7,6]=>[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]=>[5,2,1]
[6,4,2,8,1,3,7,5]=>[1,3,7,2,8,4,5,6]=>[1,7,3,8,4,5,2,6]=>[5,2,1]
[6,3,8,2,5,1,7,4]=>[1,7,2,5,3,8,4,6]=>[1,7,5,8,2,4,3,6]=>[4,2,1,1]
[1,5,7,3,6,8,4,2]=>[1,5,7,2,3,6,8,4]=>[1,7,2,8,5,3,6,4]=>[4,2,2]
[6,5,3,1,4,2,8,7]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>[6,2]
[6,7,8,1,4,3,2,5]=>[1,4,2,5,3,6,7,8]=>[1,4,5,2,3,6,7,8]=>[6,2]
[8,2,6,1,4,3,7,5]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>[5,3]
[3,7,6,1,4,8,2,5]=>[1,4,8,2,5,3,7,6]=>[1,8,5,4,2,7,3,6]=>[4,2,1,1]
[8,7,6,5,2,1,4,3]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[7,1]
[3,8,7,5,4,6,1,2]=>[1,2,3,8,4,6,5,7]=>[1,2,3,8,6,4,5,7]=>[6,1,1]
[4,3,6,7,8,5,1,2]=>[1,2,3,6,7,8,4,5]=>[1,2,3,8,4,6,7,5]=>[6,1,1]
[2,1,6,4,8,7,5,3]=>[1,6,2,3,4,8,5,7]=>[1,6,2,3,8,4,5,7]=>[6,2]
[1,8,7,6,4,3,2,5]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[5,1,1,1]
[2,1,7,5,6,3,8,4]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[5,2,1]
[7,8,1,6,5,3,2,4]=>[1,6,2,4,3,5,7,8]=>[1,6,4,2,3,5,7,8]=>[6,1,1]
[4,2,6,1,8,5,7,3]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[5,1,1,1]
[2,8,1,5,4,6,7,3]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[5,2,1]
[4,3,7,1,2,5,8,6]=>[1,2,5,8,3,7,4,6]=>[1,2,8,7,5,4,3,6]=>[4,1,1,1,1]
[7,6,3,5,4,8,1,2]=>[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,8,6,7]=>[6,2]
[4,5,6,3,8,7,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[7,1]
[7,6,5,1,4,3,2,8]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>[6,2]
[7,8,5,4,1,3,2,6]=>[1,3,2,6,4,5,7,8]=>[1,3,2,6,4,5,7,8]=>[6,2]
[7,8,2,3,4,1,6,5]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[7,1]
[4,2,6,3,8,1,7,5]=>[1,7,2,6,3,8,4,5]=>[1,7,6,8,4,2,3,5]=>[4,2,1,1]
[7,2,3,5,4,1,8,6]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>[6,1,1]
[5,2,7,1,8,4,6,3]=>[1,8,2,7,3,4,6,5]=>[1,8,7,3,6,4,2,5]=>[4,1,1,1,1]
[7,8,5,1,6,4,2,3]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[7,1]
[4,1,3,2,8,5,6,7]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[6,2]
[3,2,1,4,8,5,6,7]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>[6,1,1]
[2,6,1,4,5,8,3,7]=>[1,4,5,8,2,6,3,7]=>[1,8,6,4,5,2,3,7]=>[4,2,1,1]
[5,4,3,2,1,8,6,7]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[2,5,3,4,1,8,6,7]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[5,1,1,1]
[4,3,5,2,1,8,6,7]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>[6,1,1]
[6,1,5,2,4,3,8,7]=>[1,5,2,4,3,8,6,7]=>[1,5,4,2,3,8,6,7]=>[5,2,1]
[6,1,3,2,5,4,8,7]=>[1,3,2,5,4,8,6,7]=>[1,3,2,5,4,8,6,7]=>[5,3]
[7,1,6,5,8,3,4,2]=>[1,6,2,3,4,5,8,7]=>[1,6,2,3,4,5,8,7]=>[6,2]
[8,1,7,2,4,3,6,5]=>[1,7,2,4,3,6,5,8]=>[1,7,4,2,6,3,5,8]=>[5,2,1]
[2,1,8,3,7,4,6,5]=>[1,8,2,3,7,4,6,5]=>[1,8,2,7,6,4,3,5]=>[4,1,1,1,1]
[2,1,8,3,5,4,7,6]=>[1,8,2,3,5,4,7,6]=>[1,8,2,5,3,7,4,6]=>[5,2,1]
[8,1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6,8]=>[1,3,2,5,4,7,6,8]=>[5,3]
[4,1,3,2,7,6,8,5]=>[1,3,2,7,4,5,6,8]=>[1,3,2,7,4,5,6,8]=>[6,2]
[6,1,8,4,7,2,5,3]=>[1,8,2,5,3,4,7,6]=>[1,8,5,3,2,7,4,6]=>[4,2,1,1]
[6,5,8,1,3,2,7,4]=>[1,3,2,7,4,5,8,6]=>[1,3,2,7,4,8,5,6]=>[5,3]
[3,2,1,5,8,4,6,7]=>[1,5,8,2,3,4,6,7]=>[1,8,2,3,5,4,6,7]=>[6,1,1]
[1,4,3,8,7,5,6,2]=>[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>[6,2]
[6,7,1,4,2,8,3,5]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>[6,2]
[6,3,7,1,4,8,2,5]=>[1,4,8,2,5,3,7,6]=>[1,8,5,4,2,7,3,6]=>[4,2,1,1]
[8,7,1,3,6,2,4,5]=>[1,3,6,2,4,5,7,8]=>[1,6,3,2,4,5,7,8]=>[6,1,1]
[2,1,8,4,7,5,6,3]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[5,1,1,1]
[8,7,6,5,1,4,2,3]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[7,1]
[8,3,5,7,2,4,1,6]=>[1,6,2,4,3,5,7,8]=>[1,6,4,2,3,5,7,8]=>[6,1,1]
[6,5,3,1,2,4,8,7]=>[1,2,4,8,3,5,6,7]=>[1,2,8,4,3,5,6,7]=>[6,1,1]
[8,5,3,7,1,4,2,6]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>[5,3]
[7,2,5,1,4,3,8,6]=>[1,4,2,5,3,8,6,7]=>[1,4,5,2,3,8,6,7]=>[5,3]
[4,3,6,7,8,1,2,5]=>[1,2,5,3,6,7,8,4]=>[1,2,5,8,3,6,7,4]=>[5,2,1]
[5,4,6,7,2,8,1,3]=>[1,3,2,8,4,6,7,5]=>[1,3,2,8,7,4,6,5]=>[4,2,1,1]
[8,1,5,2,7,4,6,3]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>[5,2,1]
[5,3,6,4,7,8,1,2]=>[1,2,3,6,4,7,8,5]=>[1,2,3,6,8,4,7,5]=>[5,2,1]
[4,6,8,2,7,1,5,3]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>[5,2,1]
[7,5,8,3,1,2,6,4]=>[1,2,6,3,4,5,8,7]=>[1,2,6,3,4,5,8,7]=>[6,2]
[7,5,3,8,4,1,6,2]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>[5,2,1]
[7,5,3,8,1,4,2,6]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,8,3,5,7]=>[5,3]
[7,5,3,8,6,1,2,4]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,8,5,6,7]=>[6,2]
[7,5,3,6,1,8,2,4]=>[1,8,2,4,3,6,5,7]=>[1,8,4,2,6,3,5,7]=>[5,2,1]
[3,6,8,2,5,7,1,4]=>[1,4,2,5,7,3,6,8]=>[1,4,7,2,5,3,6,8]=>[5,2,1]
[3,5,7,2,4,6,1,8]=>[1,8,2,4,6,3,5,7]=>[1,8,6,2,3,4,5,7]=>[6,1,1]
[5,3,1,6,4,2,8,7]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[5,2,1]
[3,1,2,7,6,4,8,5]=>[1,2,7,3,4,8,5,6]=>[1,2,7,3,8,5,4,6]=>[5,2,1]
[8,5,1,2,7,3,6,4]=>[1,2,7,3,6,4,5,8]=>[1,2,7,6,4,3,5,8]=>[5,1,1,1]
[4,3,1,2,8,7,6,5]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[7,1]
[8,5,7,4,6,1,3,2]=>[1,3,2,4,6,5,7,8]=>[1,3,2,4,6,5,7,8]=>[6,2]
[1,8,5,7,4,3,2,6]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[5,1,1,1]
[3,6,7,1,4,8,5,2]=>[1,4,8,2,3,6,7,5]=>[1,8,2,4,7,3,6,5]=>[4,2,1,1]
[4,2,1,5,6,3,7,8]=>[1,5,6,2,3,7,8,4]=>[1,6,2,8,5,3,7,4]=>[4,2,2]
[5,8,1,6,3,7,2,4]=>[1,6,2,4,3,7,5,8]=>[1,6,4,2,7,3,5,8]=>[5,2,1]
[6,7,5,8,2,1,4,3]=>[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]=>[6,2]
[7,4,5,3,8,2,1,6]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>[5,2,1]
[1,4,3,7,2,6,5,8]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>[5,3]
[1,6,5,2,3,8,4,7]=>[1,6,2,3,8,4,7,5]=>[1,6,2,8,7,3,4,5]=>[5,2,1]
[4,2,6,1,8,3,7,5]=>[1,8,2,6,3,7,4,5]=>[1,8,6,7,4,2,3,5]=>[4,2,1,1]
[5,6,3,8,4,7,1,2]=>[1,2,3,8,4,7,5,6]=>[1,2,3,8,7,5,4,6]=>[5,1,1,1]
[5,6,2,7,3,4,1,8]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[5,1,1,1]
[4,5,2,3,1,8,6,7]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[5,6,2,3,1,8,4,7]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[5,1,1,1]
[1,8,3,6,5,7,2,4]=>[1,8,2,4,3,6,5,7]=>[1,8,4,2,6,3,5,7]=>[5,2,1]
[1,6,4,7,3,8,2,5]=>[1,6,2,5,3,8,4,7]=>[1,6,5,8,2,3,4,7]=>[5,2,1]
[6,7,1,8,2,5,3,4]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[5,1,1,1]
[6,7,1,8,4,5,2,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[6,7,3,4,1,8,2,5]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[5,1,1,1]
[2,3,1,8,6,7,4,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[4,5,1,7,3,8,2,6]=>[1,7,2,6,3,8,4,5]=>[1,7,6,8,4,2,3,5]=>[4,2,1,1]
[3,8,1,5,2,7,4,6]=>[1,5,2,7,3,8,4,6]=>[1,5,7,8,2,4,3,6]=>[4,3,1]
[7,8,3,4,1,6,2,5]=>[1,6,2,5,3,4,7,8]=>[1,6,5,3,2,4,7,8]=>[5,1,1,1]
[2,5,4,1,6,3,8,7]=>[1,6,2,5,3,8,4,7]=>[1,6,5,8,2,3,4,7]=>[5,2,1]
[5,6,7,8,1,4,3,2]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[7,1]
[2,1,5,8,7,3,4,6]=>[1,5,8,2,3,4,6,7]=>[1,8,2,3,5,4,6,7]=>[6,1,1]
[8,5,7,3,6,1,4,2]=>[1,4,2,3,6,5,7,8]=>[1,4,2,3,6,5,7,8]=>[6,2]
[7,8,4,2,5,1,6,3]=>[1,6,2,5,3,4,7,8]=>[1,6,5,3,2,4,7,8]=>[5,1,1,1]
[6,1,2,3,7,5,8,4]=>[1,2,3,7,4,5,8,6]=>[1,2,3,7,4,8,5,6]=>[6,2]
[4,1,2,3,7,6,8,5]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>[7,1]
[3,2,4,1,8,5,6,7]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[6,1,1]
[4,7,1,2,5,3,8,6]=>[1,2,5,3,8,4,7,6]=>[1,2,5,8,3,7,4,6]=>[5,2,1]
[1,2,4,5,8,3,7,6]=>[1,2,4,5,8,3,7,6]=>[1,2,8,4,5,7,3,6]=>[5,2,1]
[4,8,1,5,2,3,7,6]=>[1,5,2,3,7,4,8,6]=>[1,5,2,7,3,8,4,6]=>[5,3]
[6,7,8,1,5,2,4,3]=>[1,5,2,4,3,6,7,8]=>[1,5,4,2,3,6,7,8]=>[6,1,1]
[5,7,8,4,1,2,6,3]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>[7,1]
[6,5,4,1,2,3,8,7]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[7,1]
[4,5,6,7,8,1,3,2]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[7,1]
[4,6,3,8,2,1,5,7]=>[1,5,7,2,3,8,4,6]=>[1,7,2,8,5,4,3,6]=>[4,2,1,1]
[8,1,5,3,4,2,7,6]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>[5,2,1]
[6,3,2,1,5,7,4,8]=>[1,5,7,2,3,4,8,6]=>[1,7,2,3,5,8,4,6]=>[5,2,1]
[8,4,6,1,7,3,5,2]=>[1,7,2,3,5,4,6,8]=>[1,7,2,5,3,4,6,8]=>[6,1,1]
[5,7,3,8,2,1,4,6]=>[1,4,6,2,3,8,5,7]=>[1,6,2,4,8,3,5,7]=>[5,2,1]
[4,8,7,3,2,1,6,5]=>[1,6,2,3,4,8,5,7]=>[1,6,2,3,8,4,5,7]=>[6,2]
[2,8,7,6,1,4,3,5]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>[6,2]
[6,5,3,1,8,4,7,2]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[5,1,1,1]
[3,1,7,2,5,4,8,6]=>[1,7,2,5,3,4,8,6]=>[1,7,5,3,2,8,4,6]=>[4,2,1,1]
[7,3,8,4,5,1,6,2]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>[5,2,1]
[8,6,7,2,3,1,5,4]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>[7,1]
[6,3,4,2,1,7,8,5]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[6,1,1]
[3,5,2,7,4,8,6,1]=>[1,2,7,3,5,4,8,6]=>[1,2,7,5,3,8,4,6]=>[5,2,1]
[3,5,6,2,7,8,1,4]=>[1,4,2,7,8,3,5,6]=>[1,4,8,2,3,5,7,6]=>[5,2,1]
[4,1,5,7,8,2,6,3]=>[1,5,7,8,2,6,3,4]=>[1,8,6,3,5,2,7,4]=>[4,2,1,1]
[4,1,7,3,8,5,6,2]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[5,2,1]
[4,5,2,7,3,8,6,1]=>[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]=>[5,2,1]
[5,1,6,3,7,8,2,4]=>[1,6,2,4,3,7,8,5]=>[1,6,4,2,8,3,7,5]=>[4,2,2]
[5,6,2,7,4,8,1,3]=>[1,3,2,7,4,8,5,6]=>[1,3,2,7,8,5,4,6]=>[4,3,1]
[7,1,2,3,8,5,6,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[7,1]
[2,4,6,1,8,5,7,3]=>[1,8,2,4,6,3,5,7]=>[1,8,6,2,3,4,5,7]=>[6,1,1]
[5,8,1,6,2,4,3,7]=>[1,6,2,4,3,7,5,8]=>[1,6,4,2,7,3,5,8]=>[5,2,1]
[7,1,8,6,3,4,5,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[5,1,8,4,7,6,3,2]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[5,1,1,1]
[5,8,7,4,1,6,3,2]=>[1,6,2,3,4,5,8,7]=>[1,6,2,3,4,5,8,7]=>[6,2]
[7,5,8,2,4,6,1,3]=>[1,3,2,4,6,5,8,7]=>[1,3,2,4,6,5,8,7]=>[5,3]
[8,3,2,5,7,6,1,4]=>[1,4,2,5,7,3,6,8]=>[1,4,7,2,5,3,6,8]=>[5,2,1]
[5,6,7,3,8,4,2,1]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[7,1]
[6,5,8,7,2,1,3,4]=>[1,3,4,2,5,8,6,7]=>[1,4,3,2,5,8,6,7]=>[5,2,1]
[2,1,4,6,8,5,7,3]=>[1,4,6,8,2,3,5,7]=>[1,8,2,4,3,6,5,7]=>[5,2,1]
[1,2,8,5,4,3,6,7]=>[1,2,8,3,6,7,4,5]=>[1,2,8,7,4,3,6,5]=>[4,2,1,1]
[8,5,7,1,6,3,4,2]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[7,1]
[8,6,7,1,5,3,4,2]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>[7,1]
[8,5,7,2,6,3,4,1]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>[7,1]
[8,2,7,3,6,4,5,1]=>[1,2,7,3,6,4,5,8]=>[1,2,7,6,4,3,5,8]=>[5,1,1,1]
[8,1,7,4,6,3,5,2]=>[1,7,2,3,5,4,6,8]=>[1,7,2,5,3,4,6,8]=>[6,1,1]
[8,6,7,3,5,2,4,1]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[7,1]
[8,5,7,4,6,2,3,1]=>[1,2,3,4,6,5,7,8]=>[1,2,3,4,6,5,7,8]=>[7,1]
[8,2,7,5,6,3,4,1]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>[7,1]
[8,7,6,5,4,1,3,2]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[7,1]
[8,6,7,4,5,1,3,2]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[7,1]
[8,6,7,3,5,1,4,2]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[7,1]
[8,4,7,3,6,1,5,2]=>[1,5,2,3,6,4,7,8]=>[1,5,2,6,3,4,7,8]=>[6,2]
[8,2,7,4,6,1,5,3]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>[5,2,1]
[8,1,7,4,6,2,5,3]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>[5,1,1,1]
[8,2,7,3,6,1,5,4]=>[1,5,2,7,3,6,4,8]=>[1,5,7,6,2,3,4,8]=>[5,2,1]
[8,3,7,2,6,1,5,4]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[5,3]
[8,6,7,2,5,1,4,3]=>[1,4,2,5,3,6,7,8]=>[1,4,5,2,3,6,7,8]=>[6,2]
[8,6,7,1,5,2,4,3]=>[1,5,2,4,3,6,7,8]=>[1,5,4,2,3,6,7,8]=>[6,1,1]
[8,5,7,1,6,2,4,3]=>[1,6,2,4,3,5,7,8]=>[1,6,4,2,3,5,7,8]=>[6,1,1]
[8,4,7,1,6,2,5,3]=>[1,6,2,5,3,4,7,8]=>[1,6,5,3,2,4,7,8]=>[5,1,1,1]
[4,6,7,3,8,5,2,1]=>[1,2,3,8,4,6,7,5]=>[1,2,3,8,7,4,6,5]=>[5,1,1,1]
[1,6,2,4,8,3,5,7]=>[1,6,2,4,8,3,5,7]=>[1,6,8,2,3,4,5,7]=>[6,2]
[1,5,2,3,8,4,7,6]=>[1,5,2,3,8,4,7,6]=>[1,5,2,8,3,7,4,6]=>[5,2,1]
[4,3,2,1,5,8,6,7]=>[1,5,8,2,3,4,6,7]=>[1,8,2,3,5,4,6,7]=>[6,1,1]
[3,4,6,1,5,8,2,7]=>[1,5,8,2,7,3,4,6]=>[1,8,7,3,5,4,2,6]=>[4,1,1,1,1]
[1,2,6,3,4,8,7,5]=>[1,2,6,3,4,8,5,7]=>[1,2,6,3,8,4,5,7]=>[6,2]
[7,4,1,5,8,2,3,6]=>[1,5,8,2,3,6,4,7]=>[1,8,2,6,5,3,4,7]=>[5,1,1,1]
[2,7,6,3,4,5,8,1]=>[1,2,7,3,4,5,8,6]=>[1,2,7,3,4,8,5,6]=>[6,2]
[4,5,8,7,2,6,3,1]=>[1,2,6,3,4,5,8,7]=>[1,2,6,3,4,5,8,7]=>[6,2]
[3,2,1,6,4,8,5,7]=>[1,6,2,3,4,8,5,7]=>[1,6,2,3,8,4,5,7]=>[6,2]
[7,3,2,4,8,6,1,5]=>[1,5,2,4,8,3,6,7]=>[1,5,8,2,4,3,6,7]=>[5,2,1]
[4,7,2,5,1,3,8,6]=>[1,3,8,2,5,4,7,6]=>[1,8,3,5,2,7,4,6]=>[4,3,1]
[5,2,6,4,1,8,7,3]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[5,1,1,1]
[6,3,2,1,4,8,7,5]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>[6,1,1]
[1,5,7,4,8,6,3,2]=>[1,5,7,2,3,4,8,6]=>[1,7,2,3,5,8,4,6]=>[5,2,1]
[7,3,8,1,4,2,6,5]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,8,3,5,7]=>[5,3]
[3,8,7,4,2,6,1,5]=>[1,5,2,6,3,8,4,7]=>[1,5,6,8,2,3,4,7]=>[5,3]
[3,7,8,1,2,6,5,4]=>[1,2,6,3,7,8,4,5]=>[1,2,6,8,4,3,7,5]=>[4,2,2]
[7,3,5,2,1,8,4,6]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>[6,1,1]
[6,4,2,8,7,5,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[6,2]
[2,1,5,8,3,6,7,4]=>[1,5,8,2,3,6,7,4]=>[1,8,2,7,5,3,6,4]=>[4,2,1,1]
[5,8,7,4,3,6,2,1]=>[1,2,3,6,4,5,8,7]=>[1,2,3,6,4,5,8,7]=>[6,2]
[5,3,8,1,7,6,4,2]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[5,2,1]
[5,4,8,7,1,6,3,2]=>[1,6,2,3,4,8,5,7]=>[1,6,2,3,8,4,5,7]=>[6,2]
[6,5,3,2,8,1,7,4]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[5,2,1]
[6,4,3,2,1,8,7,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[6,3,4,1,2,8,7,5]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[7,1]
[4,6,3,2,5,1,7,8]=>[1,7,8,2,5,3,4,6]=>[1,8,5,3,2,4,7,6]=>[4,2,1,1]
[2,1,5,3,8,4,7,6]=>[1,5,2,3,8,4,7,6]=>[1,5,2,8,3,7,4,6]=>[5,2,1]
[3,1,8,2,5,4,7,6]=>[1,8,2,5,3,4,7,6]=>[1,8,5,3,2,7,4,6]=>[4,2,1,1]
[8,1,3,2,6,4,7,5]=>[1,3,2,6,4,7,5,8]=>[1,3,2,6,7,4,5,8]=>[5,3]
[3,1,8,2,6,4,7,5]=>[1,8,2,6,3,4,7,5]=>[1,8,6,3,7,2,4,5]=>[4,2,1,1]
[2,1,6,3,8,4,7,5]=>[1,6,2,3,8,4,7,5]=>[1,6,2,8,7,3,4,5]=>[5,2,1]
[2,1,7,3,5,4,8,6]=>[1,7,2,3,5,4,8,6]=>[1,7,2,5,3,8,4,6]=>[5,2,1]
[7,1,3,2,5,4,8,6]=>[1,3,2,5,4,8,6,7]=>[1,3,2,5,4,8,6,7]=>[5,3]
[6,1,4,2,5,3,8,7]=>[1,4,2,5,3,8,6,7]=>[1,4,5,2,3,8,6,7]=>[5,3]
[4,1,6,2,5,3,8,7]=>[1,6,2,5,3,8,4,7]=>[1,6,5,8,2,3,4,7]=>[5,2,1]
[4,1,7,2,5,3,8,6]=>[1,7,2,5,3,8,4,6]=>[1,7,5,8,2,4,3,6]=>[4,2,1,1]
[4,1,7,2,6,3,8,5]=>[1,7,2,6,3,8,4,5]=>[1,7,6,8,4,2,3,5]=>[4,2,1,1]
[5,1,7,2,6,3,8,4]=>[1,7,2,6,3,8,4,5]=>[1,7,6,8,4,2,3,5]=>[4,2,1,1]
[8,1,5,2,7,3,6,4]=>[1,5,2,7,3,6,4,8]=>[1,5,7,6,2,3,4,8]=>[5,2,1]
[8,1,5,2,6,3,7,4]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[5,3]
[5,1,8,2,6,3,7,4]=>[1,8,2,6,3,7,4,5]=>[1,8,6,7,4,2,3,5]=>[4,2,1,1]
[5,1,6,2,8,3,7,4]=>[1,6,2,8,3,7,4,5]=>[1,6,8,7,4,2,3,5]=>[4,2,1,1]
[3,1,6,2,8,4,7,5]=>[1,6,2,8,3,4,7,5]=>[1,6,8,3,7,2,4,5]=>[4,2,2]
[4,1,8,2,6,3,7,5]=>[1,8,2,6,3,7,4,5]=>[1,8,6,7,4,2,3,5]=>[4,2,1,1]
[8,1,4,2,6,3,7,5]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>[5,3]
[8,1,4,2,5,3,7,6]=>[1,4,2,5,3,7,6,8]=>[1,4,5,2,3,7,6,8]=>[5,3]
[3,1,5,2,8,4,7,6]=>[1,5,2,8,3,4,7,6]=>[1,5,8,3,2,7,4,6]=>[4,2,2]
[4,1,3,2,7,5,8,6]=>[1,3,2,7,4,5,8,6]=>[1,3,2,7,4,8,5,6]=>[5,3]
[6,1,3,2,7,4,8,5]=>[1,3,2,7,4,8,5,6]=>[1,3,2,7,8,5,4,6]=>[4,3,1]
[5,1,3,2,7,4,8,6]=>[1,3,2,7,4,8,5,6]=>[1,3,2,7,8,5,4,6]=>[4,3,1]
[5,1,4,2,6,3,8,7]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,8,3,5,7]=>[5,3]
[6,1,5,2,7,3,8,4]=>[1,5,2,7,3,8,4,6]=>[1,5,7,8,2,4,3,6]=>[4,3,1]
[6,2,8,1,3,5,4,7]=>[1,3,5,2,8,4,7,6]=>[1,5,3,8,2,7,4,6]=>[4,2,2]
[2,5,4,6,8,1,7,3]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>[5,1,1,1]
[4,2,1,3,7,6,8,5]=>[1,3,7,2,4,5,6,8]=>[1,7,3,2,4,5,6,8]=>[6,1,1]
[7,6,4,3,2,1,8,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[7,8,4,3,2,1,6,5]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[7,1]
[7,6,3,8,2,1,5,4]=>[1,5,2,3,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>[6,2]
[7,4,8,3,2,1,6,5]=>[1,6,2,3,4,8,5,7]=>[1,6,2,3,8,4,5,7]=>[6,2]
[6,7,4,2,8,3,1,5]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[5,2,1]
[5,6,8,2,4,1,3,7]=>[1,3,7,2,4,5,6,8]=>[1,7,3,2,4,5,6,8]=>[6,1,1]
[2,3,4,8,1,6,5,7]=>[1,6,2,3,4,8,5,7]=>[1,6,2,3,8,4,5,7]=>[6,2]
[3,1,6,4,7,8,2,5]=>[1,6,2,5,3,4,7,8]=>[1,6,5,3,2,4,7,8]=>[5,1,1,1]
[1,2,5,8,3,7,4,6]=>[1,2,5,8,3,7,4,6]=>[1,2,8,7,5,4,3,6]=>[4,1,1,1,1]
[2,1,8,6,7,3,5,4]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>[6,1,1]
[2,1,7,8,6,3,4,5]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[6,1,1]
[5,2,6,3,4,1,8,7]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[5,1,1,1]
[4,1,2,6,5,3,8,7]=>[1,2,6,3,8,4,5,7]=>[1,2,6,8,4,3,5,7]=>[5,2,1]
[2,1,6,3,4,8,7,5]=>[1,6,2,3,4,8,5,7]=>[1,6,2,3,8,4,5,7]=>[6,2]
[8,1,4,2,5,6,7,3]=>[1,4,2,5,6,7,3,8]=>[1,4,7,2,5,6,3,8]=>[5,2,1]
[5,8,7,3,6,1,4,2]=>[1,4,2,3,6,5,8,7]=>[1,4,2,3,6,5,8,7]=>[5,3]
[5,8,3,7,6,1,4,2]=>[1,4,2,3,7,5,8,6]=>[1,4,2,3,7,8,5,6]=>[5,3]
[2,4,8,1,3,7,6,5]=>[1,3,7,2,4,8,5,6]=>[1,7,3,2,8,5,4,6]=>[4,2,2]
[2,5,1,3,8,4,7,6]=>[1,3,8,2,5,4,7,6]=>[1,8,3,5,2,7,4,6]=>[4,3,1]
[2,8,1,5,4,7,3,6]=>[1,5,2,8,3,6,4,7]=>[1,5,8,6,2,3,4,7]=>[5,2,1]
[7,4,5,8,6,2,1,3]=>[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,8,6,7]=>[6,2]
[5,1,6,2,8,7,4,3]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[5,2,1]
[4,5,6,1,8,7,2,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[3,5,6,8,7,1,4,2]=>[1,4,2,3,5,6,8,7]=>[1,4,2,3,5,6,8,7]=>[6,2]
[4,1,5,8,7,2,3,6]=>[1,5,8,2,3,6,4,7]=>[1,8,2,6,5,3,4,7]=>[5,1,1,1]
[3,4,8,7,1,2,6,5]=>[1,2,6,3,4,8,5,7]=>[1,2,6,3,8,4,5,7]=>[6,2]
[6,1,3,8,5,2,4,7]=>[1,3,8,2,4,7,5,6]=>[1,8,3,2,7,5,4,6]=>[4,2,1,1]
[8,7,2,3,6,1,4,5]=>[1,4,5,2,3,6,7,8]=>[1,5,2,4,3,6,7,8]=>[6,1,1]
[8,1,2,3,6,5,7,4]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>[7,1]
[1,8,6,7,2,3,4,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[6,8,3,4,1,5,2,7]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>[5,2,1]
[7,5,1,2,8,6,3,4]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[7,1]
[3,1,8,2,7,6,4,5]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[5,1,1,1]
[3,6,4,7,2,5,1,8]=>[1,8,2,5,3,6,4,7]=>[1,8,5,6,2,3,4,7]=>[5,2,1]
[7,3,2,8,6,1,4,5]=>[1,4,5,2,8,3,6,7]=>[1,5,8,4,2,3,6,7]=>[5,2,1]
[4,3,8,7,6,5,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[7,1]
[4,1,8,7,6,5,3,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[3,2,8,1,7,6,5,4]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[5,2,1]
[3,8,2,1,7,6,5,4]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[5,2,1]
[3,8,2,7,1,6,5,4]=>[1,6,2,7,3,8,4,5]=>[1,6,7,8,4,2,3,5]=>[4,3,1]
[5,8,7,6,2,1,4,3]=>[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]=>[6,2]
[4,3,1,8,7,6,5,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[4,2,1,8,7,6,5,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[6,3,8,2,1,4,5,7]=>[1,4,5,7,2,3,8,6]=>[1,7,2,4,5,8,3,6]=>[5,2,1]
[3,4,6,8,7,5,1,2]=>[1,2,3,4,6,8,5,7]=>[1,2,3,4,8,6,5,7]=>[6,1,1]
[5,4,6,3,8,7,1,2]=>[1,2,3,8,4,6,5,7]=>[1,2,3,8,6,4,5,7]=>[6,1,1]
[1,8,5,2,6,3,7,4]=>[1,8,2,6,3,7,4,5]=>[1,8,6,7,4,2,3,5]=>[4,2,1,1]
[7,8,3,2,4,1,6,5]=>[1,6,2,4,3,5,7,8]=>[1,6,4,2,3,5,7,8]=>[6,1,1]
[7,5,2,8,3,4,1,6]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[5,2,1]
[2,1,6,3,8,5,7,4]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>[5,2,1]
[8,7,6,5,1,4,3,2]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[7,1]
[8,7,4,3,6,2,1,5]=>[1,5,2,3,6,4,7,8]=>[1,5,2,6,3,4,7,8]=>[6,2]
[1,2,8,3,7,6,5,4]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>[5,1,1,1]
[2,8,5,6,1,7,3,4]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[5,2,1]
[5,4,2,8,6,1,7,3]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[5,2,1]
[3,8,7,4,1,6,5,2]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>[5,2,1]
[8,7,4,1,6,2,5,3]=>[1,6,2,5,3,4,7,8]=>[1,6,5,3,2,4,7,8]=>[5,1,1,1]
[6,3,7,4,5,8,2,1]=>[1,2,3,7,4,5,8,6]=>[1,2,3,7,4,8,5,6]=>[6,2]
[8,7,1,4,5,3,2,6]=>[1,4,5,2,6,3,7,8]=>[1,5,6,4,2,3,7,8]=>[5,2,1]
[8,7,4,2,6,5,1,3]=>[1,3,2,6,4,5,7,8]=>[1,3,2,6,4,5,7,8]=>[6,2]
[6,7,1,8,3,2,5,4]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[5,1,1,1]
[7,5,1,6,4,2,3,8]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>[5,2,1]
[1,2,8,6,3,7,5,4]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>[5,1,1,1]
[5,6,7,2,4,3,1,8]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[6,1,1]
[2,3,8,1,5,6,7,4]=>[1,5,6,7,2,3,8,4]=>[1,7,2,8,5,6,3,4]=>[4,2,2]
[5,6,2,7,3,1,8,4]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[5,1,1,1]
[6,5,3,4,8,7,1,2]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[7,1]
[3,2,1,8,7,5,6,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[3,1,4,8,7,6,2,5]=>[1,4,8,2,5,3,6,7]=>[1,8,5,4,2,3,6,7]=>[5,1,1,1]
[1,2,5,3,8,7,6,4]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>[6,2]
[2,8,1,5,6,3,7,4]=>[1,5,6,2,8,3,7,4]=>[1,6,8,7,5,2,3,4]=>[4,2,1,1]
[8,3,5,7,6,2,1,4]=>[1,4,2,3,5,7,6,8]=>[1,4,2,3,5,7,6,8]=>[6,2]
[6,2,3,1,4,8,7,5]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>[6,1,1]
[7,6,4,2,3,8,1,5]=>[1,5,2,3,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>[6,2]
[3,1,2,4,8,7,6,5]=>[1,2,4,8,3,5,6,7]=>[1,2,8,4,3,5,6,7]=>[6,1,1]
[6,5,8,7,3,1,2,4]=>[1,2,4,3,5,8,6,7]=>[1,2,4,3,5,8,6,7]=>[6,2]
[5,6,7,8,1,4,2,3]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[7,1]
[3,2,6,7,4,8,1,5]=>[1,5,2,6,7,3,4,8]=>[1,5,7,3,2,6,4,8]=>[4,2,2]
[5,8,6,7,1,2,3,4]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>[7,1]
[6,7,2,8,5,3,1,4]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>[6,2]
[6,7,2,8,3,1,5,4]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[5,2,1]
[7,4,6,1,8,2,3,5]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>[6,1,1]
[7,5,8,6,3,4,2,1]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>[7,1]
[5,7,8,3,1,6,4,2]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[7,1]
[1,5,2,6,3,8,7,4]=>[1,5,2,6,3,8,4,7]=>[1,5,6,8,2,3,4,7]=>[5,3]
[6,4,2,8,3,1,5,7]=>[1,5,7,2,8,3,4,6]=>[1,7,8,3,5,4,2,6]=>[4,2,1,1]
[6,4,1,8,3,2,7,5]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[5,1,1,1]
[6,2,8,3,1,7,5,4]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[5,2,1]
[5,6,2,8,3,4,1,7]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[5,2,1]
[7,4,5,3,8,2,6,1]=>[1,2,6,3,8,4,5,7]=>[1,2,6,8,4,3,5,7]=>[5,2,1]
[6,5,3,7,8,2,1,4]=>[1,4,2,3,7,8,5,6]=>[1,4,2,3,8,5,7,6]=>[5,2,1]
[6,5,4,2,8,7,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[6,2]
[5,8,4,1,2,7,3,6]=>[1,2,7,3,6,4,5,8]=>[1,2,7,6,4,3,5,8]=>[5,1,1,1]
[4,8,7,3,6,2,1,5]=>[1,5,2,3,6,4,8,7]=>[1,5,2,6,3,4,8,7]=>[5,3]
[2,6,4,3,8,7,1,5]=>[1,5,2,6,3,8,4,7]=>[1,5,6,8,2,3,4,7]=>[5,3]
[2,4,3,6,1,8,7,5]=>[1,8,2,4,3,6,5,7]=>[1,8,4,2,6,3,5,7]=>[5,2,1]
[4,1,6,2,8,5,7,3]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[5,2,1]
[6,4,2,1,3,8,7,5]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>[6,1,1]
[4,1,8,7,2,6,5,3]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[5,1,1,1]
[3,1,8,4,7,2,6,5]=>[1,8,2,6,3,4,7,5]=>[1,8,6,3,7,2,4,5]=>[4,2,1,1]
[3,6,2,8,7,5,1,4]=>[1,4,2,8,3,6,5,7]=>[1,4,8,2,6,3,5,7]=>[5,2,1]
[1,4,5,8,7,2,6,3]=>[1,4,5,8,2,6,3,7]=>[1,8,6,4,5,2,3,7]=>[4,2,1,1]
[6,4,3,7,2,5,8,1]=>[1,2,5,8,3,7,4,6]=>[1,2,8,7,5,4,3,6]=>[4,1,1,1,1]
[6,7,4,2,1,8,3,5]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>[6,1,1]
[7,5,3,2,6,1,8,4]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[5,1,1,1]
[6,4,7,2,5,1,8,3]=>[1,8,2,5,3,4,7,6]=>[1,8,5,3,2,7,4,6]=>[4,2,1,1]
[6,5,3,7,1,8,2,4]=>[1,8,2,4,3,7,5,6]=>[1,8,4,2,7,5,3,6]=>[4,2,1,1]
[5,3,7,8,6,1,4,2]=>[1,4,2,3,7,8,5,6]=>[1,4,2,3,8,5,7,6]=>[5,2,1]
[7,3,5,1,8,6,4,2]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>[6,1,1]
[1,5,7,3,8,6,4,2]=>[1,5,7,2,3,8,4,6]=>[1,7,2,8,5,4,3,6]=>[4,2,1,1]
[4,3,1,2,6,5,8,7]=>[1,2,6,3,4,5,8,7]=>[1,2,6,3,4,5,8,7]=>[6,2]
[4,6,3,5,1,2,8,7]=>[1,2,8,3,5,4,6,7]=>[1,2,8,5,3,4,6,7]=>[6,1,1]
[2,3,6,1,5,4,8,7]=>[1,5,2,3,6,4,8,7]=>[1,5,2,6,3,4,8,7]=>[5,3]
[2,1,6,5,3,4,8,7]=>[1,6,2,3,4,8,5,7]=>[1,6,2,3,8,4,5,7]=>[6,2]
[8,7,6,1,3,2,4,5]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[7,1]
[2,4,8,3,5,6,7,1]=>[1,2,4,8,3,5,6,7]=>[1,2,8,4,3,5,6,7]=>[6,1,1]
[2,1,4,3,8,7,5,6]=>[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>[6,2]
[5,1,6,7,8,4,3,2]=>[1,6,7,8,2,3,4,5]=>[1,8,2,3,4,6,7,5]=>[6,1,1]
[7,3,8,5,4,6,1,2]=>[1,2,3,8,4,6,5,7]=>[1,2,3,8,6,4,5,7]=>[6,1,1]
[4,7,3,8,5,6,1,2]=>[1,2,3,8,4,7,5,6]=>[1,2,3,8,7,5,4,6]=>[5,1,1,1]
[1,7,6,5,3,8,4,2]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[5,2,1]
[2,8,4,1,5,6,3,7]=>[1,5,6,2,8,3,7,4]=>[1,6,8,7,5,2,3,4]=>[4,2,1,1]
[3,4,1,8,5,6,7,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[2,5,3,8,7,4,6,1]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>[6,2]
[2,7,6,4,5,8,3,1]=>[1,2,7,3,4,5,8,6]=>[1,2,7,3,4,8,5,6]=>[6,2]
[5,6,1,2,4,3,8,7]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,8,5,6,7]=>[6,2]
[3,6,8,1,2,7,5,4]=>[1,2,7,3,6,8,4,5]=>[1,2,7,8,4,3,6,5]=>[4,2,2]
[6,5,3,1,4,7,2,8]=>[1,4,7,2,8,3,5,6]=>[1,7,8,4,3,5,2,6]=>[4,2,1,1]
[2,7,4,8,5,6,1,3]=>[1,3,2,7,4,8,5,6]=>[1,3,2,7,8,5,4,6]=>[4,3,1]
[5,6,3,2,1,8,7,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[4,5,3,2,7,1,8,6]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[5,1,1,1]
[1,8,4,7,2,5,3,6]=>[1,8,2,5,3,6,4,7]=>[1,8,5,6,2,3,4,7]=>[5,2,1]
[4,6,3,5,2,1,8,7]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>[6,1,1]
[7,4,1,2,8,6,3,5]=>[1,2,8,3,5,4,6,7]=>[1,2,8,5,3,4,6,7]=>[6,1,1]
[7,8,1,6,3,4,2,5]=>[1,6,2,5,3,4,7,8]=>[1,6,5,3,2,4,7,8]=>[5,1,1,1]
[7,8,2,5,1,6,3,4]=>[1,6,2,5,3,4,7,8]=>[1,6,5,3,2,4,7,8]=>[5,1,1,1]
[1,8,5,6,2,7,3,4]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[5,1,1,1]
[5,7,1,6,2,8,3,4]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[5,2,1]
[2,5,1,8,6,7,3,4]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[5,1,1,1]
[4,7,1,8,5,6,2,3]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[5,1,1,1]
[3,7,1,6,2,8,4,5]=>[1,6,2,8,3,7,4,5]=>[1,6,8,7,4,2,3,5]=>[4,2,1,1]
[6,8,7,2,1,4,3,5]=>[1,4,2,3,5,6,8,7]=>[1,4,2,3,5,6,8,7]=>[6,2]
[6,8,2,1,7,4,3,5]=>[1,7,2,3,5,4,6,8]=>[1,7,2,5,3,4,6,8]=>[6,1,1]
[2,8,6,7,4,3,1,5]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[5,2,1]
[4,2,1,6,5,8,7,3]=>[1,6,2,3,4,5,8,7]=>[1,6,2,3,4,5,8,7]=>[6,2]
[4,6,5,8,7,2,1,3]=>[1,3,2,4,6,5,8,7]=>[1,3,2,4,6,5,8,7]=>[5,3]
[3,5,1,6,4,2,8,7]=>[1,6,2,8,3,5,4,7]=>[1,6,8,5,3,2,4,7]=>[4,2,1,1]
[6,8,2,5,1,7,3,4]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>[5,1,1,1]
[2,1,5,7,3,8,6,4]=>[1,5,7,2,3,8,4,6]=>[1,7,2,8,5,4,3,6]=>[4,2,1,1]
[4,1,2,3,7,8,6,5]=>[1,2,3,7,8,4,5,6]=>[1,2,3,8,4,5,7,6]=>[6,1,1]
[3,4,2,1,8,5,6,7]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[2,1,5,8,4,6,7,3]=>[1,5,8,2,3,4,6,7]=>[1,8,2,3,5,4,6,7]=>[6,1,1]
[3,1,5,2,4,8,7,6]=>[1,5,2,4,8,3,6,7]=>[1,5,8,2,4,3,6,7]=>[5,2,1]
[6,1,3,5,4,8,7,2]=>[1,3,5,2,4,8,6,7]=>[1,5,3,2,4,8,6,7]=>[5,2,1]
[1,7,3,8,4,6,2,5]=>[1,7,2,5,3,8,4,6]=>[1,7,5,8,2,4,3,6]=>[4,2,1,1]
[1,8,5,3,7,4,6,2]=>[1,8,2,3,7,4,6,5]=>[1,8,2,7,6,4,3,5]=>[4,1,1,1,1]
[4,3,1,8,5,6,7,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[6,3,5,1,4,2,8,7]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>[6,2]
[4,6,3,1,5,2,7,8]=>[1,5,2,7,8,3,4,6]=>[1,5,8,3,2,4,7,6]=>[4,2,2]
[5,7,3,4,1,6,2,8]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[5,2,1]
[1,7,3,8,5,6,2,4]=>[1,7,2,4,3,8,5,6]=>[1,7,4,2,8,5,3,6]=>[4,2,2]
[4,2,6,1,5,3,7,8]=>[1,5,2,6,3,7,8,4]=>[1,5,6,8,2,3,7,4]=>[4,3,1]
[5,3,2,8,1,6,4,7]=>[1,6,2,8,3,4,7,5]=>[1,6,8,3,7,2,4,5]=>[4,2,2]
[4,6,7,2,8,3,1,5]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[5,2,1]
[4,5,6,7,3,1,8,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[5,4,1,6,2,3,8,7]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>[5,2,1]
[5,8,7,6,1,2,3,4]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>[7,1]
[2,1,6,3,8,5,4,7]=>[1,6,2,3,8,4,7,5]=>[1,6,2,8,7,3,4,5]=>[5,2,1]
[3,1,6,2,4,8,7,5]=>[1,6,2,4,8,3,5,7]=>[1,6,8,2,3,4,5,7]=>[6,2]
[2,1,7,6,3,8,4,5]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[5,2,1]
[3,5,6,2,4,8,7,1]=>[1,2,4,8,3,5,6,7]=>[1,2,8,4,3,5,6,7]=>[6,1,1]
[6,1,2,8,7,4,3,5]=>[1,2,8,3,5,4,6,7]=>[1,2,8,5,3,4,6,7]=>[6,1,1]
[3,2,8,1,4,7,6,5]=>[1,4,7,2,8,3,5,6]=>[1,7,8,4,3,5,2,6]=>[4,2,1,1]
[5,6,2,4,3,1,8,7]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[6,1,1]
[8,7,6,5,1,3,2,4]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[7,1]
[8,7,6,2,4,3,1,5]=>[1,5,2,4,3,6,7,8]=>[1,5,4,2,3,6,7,8]=>[6,1,1]
[4,3,8,7,6,1,5,2]=>[1,5,2,3,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>[6,2]
[1,6,3,8,5,2,4,7]=>[1,6,2,4,7,3,8,5]=>[1,6,7,2,8,4,3,5]=>[4,3,1]
[4,6,3,7,5,2,1,8]=>[1,8,2,3,7,4,6,5]=>[1,8,2,7,6,4,3,5]=>[4,1,1,1,1]
[6,2,5,1,7,4,8,3]=>[1,7,2,5,3,4,8,6]=>[1,7,5,3,2,8,4,6]=>[4,2,1,1]
[3,4,1,2,7,8,6,5]=>[1,2,7,8,3,4,5,6]=>[1,2,8,3,4,5,7,6]=>[6,1,1]
[4,1,3,2,8,6,7,5]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[6,2]
[6,7,8,1,4,5,3,2]=>[1,4,5,2,3,6,7,8]=>[1,5,2,4,3,6,7,8]=>[6,1,1]
[5,7,2,3,8,1,6,4]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>[5,2,1]
[6,4,1,2,8,7,3,5]=>[1,2,8,3,5,4,6,7]=>[1,2,8,5,3,4,6,7]=>[6,1,1]
[5,6,3,1,8,2,7,4]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[5,1,1,1]
[6,5,4,3,1,2,8,7]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[7,1]
[5,6,2,8,1,7,4,3]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[5,2,1]
[2,4,1,6,8,5,3,7]=>[1,6,8,2,4,3,7,5]=>[1,8,4,2,7,6,3,5]=>[4,2,1,1]
[2,1,8,7,6,4,3,5]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>[6,1,1]
[6,8,3,5,4,7,1,2]=>[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>[6,2]
[1,8,2,5,7,6,3,4]=>[1,8,2,5,7,3,4,6]=>[1,8,7,3,2,4,5,6]=>[5,1,1,1]
[6,2,4,1,7,5,8,3]=>[1,7,2,4,3,5,8,6]=>[1,7,4,2,3,8,5,6]=>[5,2,1]
[3,1,5,4,2,8,6,7]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[5,2,1]
[7,3,1,6,5,4,2,8]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[5,2,1]
[4,6,7,2,8,1,3,5]=>[1,3,5,2,8,4,6,7]=>[1,5,3,8,2,4,6,7]=>[5,2,1]
[3,8,2,7,6,5,4,1]=>[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]=>[5,2,1]
[4,2,8,7,6,5,3,1]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[7,1]
[5,6,2,1,7,3,8,4]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[5,2,1]
[6,4,2,1,5,3,7,8]=>[1,5,2,3,7,8,4,6]=>[1,5,2,8,3,4,7,6]=>[5,2,1]
[1,6,4,2,8,7,3,5]=>[1,6,2,8,3,5,4,7]=>[1,6,8,5,3,2,4,7]=>[4,2,1,1]
[2,1,8,7,6,3,5,4]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>[6,1,1]
[5,4,1,6,3,2,8,7]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[5,2,1]
[5,1,7,2,8,6,4,3]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[5,2,1]
[2,1,7,6,3,8,5,4]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[5,2,1]
[6,8,4,7,1,5,3,2]=>[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>[6,2]
[2,4,1,3,8,7,6,5]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>[6,1,1]
[6,5,3,1,7,2,8,4]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[5,2,1]
[7,5,2,6,3,8,4,1]=>[1,2,6,3,8,4,5,7]=>[1,2,6,8,4,3,5,7]=>[5,2,1]
[5,6,3,1,2,4,8,7]=>[1,2,4,8,3,5,6,7]=>[1,2,8,4,3,5,6,7]=>[6,1,1]
[7,5,8,3,6,2,1,4]=>[1,4,2,3,6,5,8,7]=>[1,4,2,3,6,5,8,7]=>[5,3]
[8,1,3,2,6,5,4,7]=>[1,3,2,6,4,7,5,8]=>[1,3,2,6,7,4,5,8]=>[5,3]
[8,5,3,6,2,4,1,7]=>[1,7,2,4,3,6,5,8]=>[1,7,4,2,6,3,5,8]=>[5,2,1]
[8,3,5,6,2,1,4,7]=>[1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>[6,1,1]
[5,1,2,3,6,8,7,4]=>[1,2,3,6,8,4,5,7]=>[1,2,3,8,4,6,5,7]=>[6,1,1]
[5,7,8,2,1,4,3,6]=>[1,4,2,3,6,5,7,8]=>[1,4,2,3,6,5,7,8]=>[6,2]
[3,5,7,2,4,1,6,8]=>[1,6,8,2,4,3,5,7]=>[1,8,4,2,3,6,5,7]=>[5,2,1]
[3,5,2,1,4,7,6,8]=>[1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>[6,1,1]
[3,2,5,1,7,4,6,8]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>[5,1,1,1]
[3,5,2,1,7,4,6,8]=>[1,7,2,3,5,4,6,8]=>[1,7,2,5,3,4,6,8]=>[6,1,1]
[5,8,7,1,2,6,4,3]=>[1,2,6,3,4,5,8,7]=>[1,2,6,3,4,5,8,7]=>[6,2]
[2,8,7,4,3,6,1,5]=>[1,5,2,8,3,6,4,7]=>[1,5,8,6,2,3,4,7]=>[5,2,1]
[7,6,2,8,3,1,4,5]=>[1,4,5,2,8,3,6,7]=>[1,5,8,4,2,3,6,7]=>[5,2,1]
[2,6,5,7,8,3,4,1]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>[7,1]
[3,2,5,1,7,8,4,6]=>[1,7,8,2,5,3,4,6]=>[1,8,5,3,2,4,7,6]=>[4,2,1,1]
[6,3,5,4,8,2,7,1]=>[1,2,7,3,5,4,8,6]=>[1,2,7,5,3,8,4,6]=>[5,2,1]
[3,8,4,7,6,1,5,2]=>[1,5,2,3,8,4,7,6]=>[1,5,2,8,3,7,4,6]=>[5,2,1]
[5,1,8,6,2,7,3,4]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[5,1,1,1]
[5,7,8,4,1,6,3,2]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[7,1]
[2,7,6,8,4,3,1,5]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>[5,2,1]
[3,1,7,4,5,2,8,6]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[5,2,1]
[4,3,7,2,6,8,1,5]=>[1,5,2,6,8,3,7,4]=>[1,5,8,7,2,6,3,4]=>[4,2,1,1]
[6,7,8,1,5,4,3,2]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>[7,1]
[8,7,6,5,2,4,3,1]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[7,1]
[2,1,8,7,6,3,4,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[5,8,7,6,2,4,1,3]=>[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,8,6,7]=>[6,2]
[5,8,7,6,4,2,3,1]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>[7,1]
[2,4,1,7,3,8,6,5]=>[1,7,2,4,3,8,5,6]=>[1,7,4,2,8,5,3,6]=>[4,2,2]
[2,4,6,3,1,8,5,7]=>[1,8,2,4,6,3,5,7]=>[1,8,6,2,3,4,5,7]=>[6,1,1]
[4,1,2,3,7,6,5,8]=>[1,2,3,7,4,5,8,6]=>[1,2,3,7,4,8,5,6]=>[6,2]
[6,8,4,2,7,1,5,3]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>[5,2,1]
[6,4,2,8,7,5,3,1]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[7,1]
[5,8,7,2,3,6,1,4]=>[1,4,2,3,6,5,8,7]=>[1,4,2,3,6,5,8,7]=>[5,3]
[6,8,1,7,3,5,4,2]=>[1,7,2,3,5,4,6,8]=>[1,7,2,5,3,4,6,8]=>[6,1,1]
[6,8,1,7,3,2,5,4]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>[5,1,1,1]
[4,8,5,7,1,2,6,3]=>[1,2,6,3,4,8,5,7]=>[1,2,6,3,8,4,5,7]=>[6,2]
[6,8,1,3,7,2,5,4]=>[1,3,7,2,5,4,6,8]=>[1,7,3,5,2,4,6,8]=>[5,2,1]
[2,8,1,3,7,6,5,4]=>[1,3,7,2,8,4,5,6]=>[1,7,3,8,4,5,2,6]=>[5,2,1]
[3,1,6,7,4,8,5,2]=>[1,6,7,2,3,4,8,5]=>[1,7,2,3,8,6,4,5]=>[5,2,1]
[3,4,5,8,7,6,1,2]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>[7,1]
[7,1,8,4,2,6,5,3]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[5,1,1,1]
[7,1,8,3,6,2,5,4]=>[1,8,2,5,3,6,4,7]=>[1,8,5,6,2,3,4,7]=>[5,2,1]
[3,4,1,8,7,6,5,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[6,1,2,3,5,8,7,4]=>[1,2,3,5,8,4,6,7]=>[1,2,3,8,5,4,6,7]=>[6,1,1]
[7,1,2,3,5,8,6,4]=>[1,2,3,5,8,4,6,7]=>[1,2,3,8,5,4,6,7]=>[6,1,1]
[6,1,2,3,5,7,8,4]=>[1,2,3,5,7,8,4,6]=>[1,2,3,8,5,4,7,6]=>[5,2,1]
[5,2,8,6,7,3,4,1]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[7,1]
[7,3,5,6,8,4,1,2]=>[1,2,3,5,6,8,4,7]=>[1,2,3,8,5,6,4,7]=>[6,1,1]
[7,5,8,6,1,2,3,4]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>[7,1]
[7,4,8,5,6,2,3,1]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[7,1]
[4,8,2,5,1,3,7,6]=>[1,3,7,2,5,4,8,6]=>[1,7,3,5,2,8,4,6]=>[4,3,1]
[1,5,6,7,8,3,4,2]=>[1,5,6,7,8,2,3,4]=>[1,8,2,3,5,6,7,4]=>[6,1,1]
[5,1,2,3,8,7,6,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[7,1]
[5,1,2,3,8,6,7,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[7,1]
[3,5,1,7,4,8,6,2]=>[1,7,2,3,5,4,8,6]=>[1,7,2,5,3,8,4,6]=>[5,2,1]
[5,6,7,8,4,1,3,2]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[7,1]
[5,7,8,4,3,6,1,2]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>[7,1]
[1,2,7,3,8,6,5,4]=>[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]=>[5,2,1]
[3,4,5,1,8,2,7,6]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[5,1,1,1]
[8,7,6,2,1,4,3,5]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[7,1]
[1,8,7,3,2,4,6,5]=>[1,8,2,4,6,3,5,7]=>[1,8,6,2,3,4,5,7]=>[6,1,1]
[4,8,7,2,1,6,5,3]=>[1,6,2,3,4,8,5,7]=>[1,6,2,3,8,4,5,7]=>[6,2]
[5,8,7,6,3,2,4,1]=>[1,2,4,3,5,8,6,7]=>[1,2,4,3,5,8,6,7]=>[6,2]
[3,4,1,2,8,7,5,6]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[7,1]
[6,2,5,1,7,3,8,4]=>[1,7,2,5,3,8,4,6]=>[1,7,5,8,2,4,3,6]=>[4,2,1,1]
[5,1,2,3,8,4,7,6]=>[1,2,3,8,4,7,5,6]=>[1,2,3,8,7,5,4,6]=>[5,1,1,1]
[4,1,2,3,8,7,5,6]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[7,1]
[2,3,1,8,5,4,7,6]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[5,1,1,1]
[5,3,1,8,7,2,4,6]=>[1,8,2,4,6,3,5,7]=>[1,8,6,2,3,4,5,7]=>[6,1,1]
[3,1,5,2,8,6,7,4]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[5,2,1]
[6,7,8,2,1,5,4,3]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>[7,1]
[8,1,4,3,2,5,6,7]=>[1,4,2,5,6,7,3,8]=>[1,4,7,2,5,6,3,8]=>[5,2,1]
[6,7,8,5,2,4,1,3]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[7,1]
[3,4,6,2,7,1,5,8]=>[1,5,8,2,7,3,4,6]=>[1,8,7,3,5,4,2,6]=>[4,1,1,1,1]
[3,8,2,1,5,6,7,4]=>[1,5,6,7,2,3,8,4]=>[1,7,2,8,5,6,3,4]=>[4,2,2]
[8,1,4,5,3,6,7,2]=>[1,4,5,2,3,6,7,8]=>[1,5,2,4,3,6,7,8]=>[6,1,1]
[6,7,4,1,8,2,3,5]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>[6,1,1]
[6,7,8,1,4,2,5,3]=>[1,4,2,5,3,6,7,8]=>[1,4,5,2,3,6,7,8]=>[6,2]
[2,3,4,8,1,5,7,6]=>[1,5,7,2,3,4,8,6]=>[1,7,2,3,5,8,4,6]=>[5,2,1]
[3,2,5,7,8,1,6,4]=>[1,6,2,5,7,8,3,4]=>[1,6,8,3,2,5,7,4]=>[4,2,2]
[5,7,1,6,2,8,4,3]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[5,2,1]
[4,8,1,3,5,6,7,2]=>[1,3,5,6,7,2,4,8]=>[1,7,3,2,5,6,4,8]=>[5,2,1]
[8,1,2,3,7,5,6,4]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>[7,1]
[5,7,8,3,1,6,2,4]=>[1,6,2,4,3,5,7,8]=>[1,6,4,2,3,5,7,8]=>[6,1,1]
[1,5,6,7,8,3,2,4]=>[1,5,6,7,8,2,4,3]=>[1,8,4,2,5,6,7,3]=>[5,2,1]
[1,2,8,4,5,3,7,6]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>[5,1,1,1]
[5,2,7,4,8,6,1,3]=>[1,3,2,7,4,8,5,6]=>[1,3,2,7,8,5,4,6]=>[4,3,1]
[8,4,7,1,3,2,6,5]=>[1,3,2,6,4,7,5,8]=>[1,3,2,6,7,4,5,8]=>[5,3]
[8,5,7,3,1,2,6,4]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>[7,1]
[5,6,2,7,3,8,4,1]=>[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]=>[5,2,1]
[4,2,1,3,8,5,6,7]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>[6,1,1]
[1,8,7,6,3,4,5,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[2,3,4,8,1,6,7,5]=>[1,6,7,2,3,4,8,5]=>[1,7,2,3,8,6,4,5]=>[5,2,1]
[2,1,7,5,3,8,6,4]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[5,2,1]
[1,8,7,6,2,3,4,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[6,5,1,2,3,8,4,7]=>[1,2,3,8,4,7,5,6]=>[1,2,3,8,7,5,4,6]=>[5,1,1,1]
[7,6,4,1,8,2,3,5]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>[6,1,1]
[4,1,2,8,6,3,7,5]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>[5,1,1,1]
[3,8,1,6,7,2,4,5]=>[1,6,7,2,4,5,3,8]=>[1,7,5,2,4,6,3,8]=>[5,1,1,1]
[6,5,3,7,1,2,8,4]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>[5,1,1,1]
[6,5,3,8,7,2,1,4]=>[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>[6,2]
[6,7,3,8,1,5,2,4]=>[1,5,2,4,3,8,6,7]=>[1,5,4,2,3,8,6,7]=>[5,2,1]
[6,7,3,4,1,5,2,8]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[5,2,1]
[6,7,8,1,5,4,2,3]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>[7,1]
[4,5,6,7,1,3,2,8]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[6,2]
[7,2,8,4,1,6,5,3]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[5,2,1]
[4,6,7,3,8,1,2,5]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>[6,2]
[4,6,7,8,1,5,3,2]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>[7,1]
[4,7,3,8,1,6,5,2]=>[1,6,2,3,8,4,7,5]=>[1,6,2,8,7,3,4,5]=>[5,2,1]
[3,2,1,8,7,4,5,6]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[4,5,3,8,6,2,7,1]=>[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]=>[5,2,1]
[2,4,8,7,6,5,1,3]=>[1,3,2,4,8,5,6,7]=>[1,3,2,4,8,5,6,7]=>[6,2]
[3,5,6,8,7,2,1,4]=>[1,4,2,3,5,6,8,7]=>[1,4,2,3,5,6,8,7]=>[6,2]
[4,7,8,5,6,2,1,3]=>[1,3,2,4,7,8,5,6]=>[1,3,2,4,8,5,7,6]=>[5,2,1]
[5,1,2,7,8,6,4,3]=>[1,2,7,8,3,4,5,6]=>[1,2,8,3,4,5,7,6]=>[6,1,1]
[5,1,8,2,7,6,3,4]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[5,1,1,1]
[4,5,2,8,7,1,6,3]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[5,2,1]
[4,2,8,7,1,3,6,5]=>[1,3,6,2,8,4,5,7]=>[1,6,3,8,4,2,5,7]=>[5,2,1]
[8,5,7,3,1,6,2,4]=>[1,6,2,4,3,5,7,8]=>[1,6,4,2,3,5,7,8]=>[6,1,1]
[3,8,6,1,4,7,2,5]=>[1,4,7,2,5,3,8,6]=>[1,7,5,4,2,8,3,6]=>[4,2,1,1]
[7,3,5,6,8,1,4,2]=>[1,4,2,3,5,6,8,7]=>[1,4,2,3,5,6,8,7]=>[6,2]
[4,3,1,2,6,7,8,5]=>[1,2,6,7,8,3,4,5]=>[1,2,8,3,4,6,7,5]=>[6,1,1]
[2,3,4,1,8,7,5,6]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[4,2,6,5,1,8,7,3]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[5,1,1,1]
[6,5,4,1,3,2,8,7]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[6,2]
[6,5,4,2,1,3,8,7]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>[6,1,1]
[8,7,4,3,6,1,5,2]=>[1,5,2,3,6,4,7,8]=>[1,5,2,6,3,4,7,8]=>[6,2]
[8,6,7,3,4,1,5,2]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>[7,1]
[8,3,2,7,6,4,1,5]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>[5,2,1]
[8,5,4,1,3,7,6,2]=>[1,3,7,2,4,5,6,8]=>[1,7,3,2,4,5,6,8]=>[6,1,1]
[6,8,2,7,3,4,1,5]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>[5,2,1]
[1,3,2,6,5,8,4,7]=>[1,3,2,6,4,7,5,8]=>[1,3,2,6,7,4,5,8]=>[5,3]
[2,3,4,8,7,5,6,1]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[7,1]
[1,8,5,6,7,3,4,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[3,4,8,7,6,1,5,2]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>[6,2]
[6,3,1,5,4,2,8,7]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[5,2,1]
[7,8,3,4,6,5,1,2]=>[1,2,3,4,6,5,7,8]=>[1,2,3,4,6,5,7,8]=>[7,1]
[5,6,8,7,3,2,1,4]=>[1,4,2,3,5,6,8,7]=>[1,4,2,3,5,6,8,7]=>[6,2]
[7,6,5,8,1,2,4,3]=>[1,2,4,3,5,8,6,7]=>[1,2,4,3,5,8,6,7]=>[6,2]
[7,2,6,3,8,1,5,4]=>[1,5,2,6,3,8,4,7]=>[1,5,6,8,2,3,4,7]=>[5,3]
[3,8,5,1,7,6,4,2]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[5,2,1]
[2,8,1,3,5,6,7,4]=>[1,3,5,6,7,2,8,4]=>[1,7,3,8,5,6,2,4]=>[4,2,2]
[4,1,3,7,6,8,5,2]=>[1,3,7,2,4,5,6,8]=>[1,7,3,2,4,5,6,8]=>[6,1,1]
[3,5,6,7,8,2,4,1]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[7,1]
[8,7,4,3,6,5,1,2]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>[7,1]
[6,1,2,5,4,3,8,7]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>[6,2]
[8,1,2,3,6,5,4,7]=>[1,2,3,6,4,7,5,8]=>[1,2,3,6,7,4,5,8]=>[6,2]
[8,1,2,3,7,6,5,4]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>[7,1]
[8,3,1,5,7,6,2,4]=>[1,5,7,2,4,3,6,8]=>[1,7,4,2,5,3,6,8]=>[5,2,1]
[8,1,2,3,6,7,5,4]=>[1,2,3,6,7,4,5,8]=>[1,2,3,7,4,6,5,8]=>[6,1,1]
[5,7,3,2,1,6,4,8]=>[1,6,2,3,4,8,5,7]=>[1,6,2,3,8,4,5,7]=>[6,2]
[8,3,2,7,6,1,4,5]=>[1,4,5,2,7,3,6,8]=>[1,5,7,4,2,3,6,8]=>[5,2,1]
[3,5,6,8,7,2,4,1]=>[1,2,4,3,5,6,8,7]=>[1,2,4,3,5,6,8,7]=>[6,2]
[6,4,7,8,3,5,2,1]=>[1,2,3,5,4,7,8,6]=>[1,2,3,5,4,8,7,6]=>[5,2,1]
[6,3,5,2,7,4,8,1]=>[1,2,7,3,5,4,8,6]=>[1,2,7,5,3,8,4,6]=>[5,2,1]
[4,3,7,5,8,6,1,2]=>[1,2,3,7,4,5,8,6]=>[1,2,3,7,4,8,5,6]=>[6,2]
[6,7,4,8,3,5,2,1]=>[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,8,6,7]=>[6,2]
[3,6,8,5,4,7,1,2]=>[1,2,3,6,8,4,7,5]=>[1,2,3,8,7,6,4,5]=>[5,1,1,1]
[1,8,6,7,3,4,5,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[4,5,7,2,3,8,6,1]=>[1,2,3,8,4,5,7,6]=>[1,2,3,8,4,7,5,6]=>[6,1,1]
[4,5,7,2,3,8,1,6]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>[5,2,1]
[4,5,6,2,3,1,8,7]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[4,5,6,2,1,3,8,7]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>[6,1,1]
[4,5,6,1,3,2,8,7]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[6,2]
[4,5,6,3,1,2,8,7]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[7,1]
[4,5,7,3,2,8,1,6]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[5,2,1]
[4,6,7,3,8,2,5,1]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>[6,2]
[4,6,7,3,8,2,1,5]=>[1,5,2,3,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>[6,2]
[4,5,7,3,1,8,2,6]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[5,1,1,1]
[4,6,7,3,8,1,5,2]=>[1,5,2,3,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>[6,2]
[5,6,7,8,3,1,4,2]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[7,1]
[4,6,7,1,8,3,5,2]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>[6,1,1]
[2,1,6,7,8,4,5,3]=>[1,6,7,8,2,3,4,5]=>[1,8,2,3,4,6,7,5]=>[6,1,1]
[2,1,6,7,8,4,3,5]=>[1,6,7,8,2,3,5,4]=>[1,8,2,5,3,6,7,4]=>[5,2,1]
[4,6,7,1,8,3,2,5]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[5,1,1,1]
[5,6,7,8,1,3,2,4]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[7,1]
[4,6,7,2,8,3,5,1]=>[1,2,8,3,5,4,6,7]=>[1,2,8,5,3,4,6,7]=>[6,1,1]
[3,4,2,1,7,8,5,6]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[6,1,1]
[4,6,7,2,8,5,1,3]=>[1,3,2,8,4,6,7,5]=>[1,3,2,8,7,4,6,5]=>[4,2,1,1]
[2,1,6,7,8,3,5,4]=>[1,6,7,8,2,3,5,4]=>[1,8,2,5,3,6,7,4]=>[5,2,1]
[4,6,7,1,8,2,5,3]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[5,1,1,1]
[5,6,7,8,1,2,4,3]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[7,1]
[5,6,7,8,2,4,1,3]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[7,1]
[5,6,7,8,2,4,3,1]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[7,1]
[2,1,6,7,8,5,3,4]=>[1,6,7,8,2,3,4,5]=>[1,8,2,3,4,6,7,5]=>[6,1,1]
[5,3,1,6,2,4,8,7]=>[1,6,2,4,8,3,5,7]=>[1,6,8,2,3,4,5,7]=>[6,2]
[7,3,1,5,2,8,4,6]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[5,2,1]
[8,4,5,1,2,7,3,6]=>[1,2,7,3,6,4,5,8]=>[1,2,7,6,4,3,5,8]=>[5,1,1,1]
[6,4,5,1,2,3,8,7]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[7,1]
[5,4,6,1,2,3,8,7]=>[1,2,3,8,4,6,5,7]=>[1,2,3,8,6,4,5,7]=>[6,1,1]
[3,6,1,5,2,4,8,7]=>[1,5,2,4,8,3,6,7]=>[1,5,8,2,4,3,6,7]=>[5,2,1]
[4,6,5,1,2,3,8,7]=>[1,2,3,8,4,6,5,7]=>[1,2,3,8,6,4,5,7]=>[6,1,1]
[5,6,4,1,2,3,8,7]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[7,1]
[8,6,4,1,7,2,3,5]=>[1,7,2,3,5,4,6,8]=>[1,7,2,5,3,4,6,8]=>[6,1,1]
[6,8,4,1,7,2,3,5]=>[1,7,2,3,5,4,6,8]=>[1,7,2,5,3,4,6,8]=>[6,1,1]
[4,8,6,1,7,2,3,5]=>[1,7,2,3,5,4,8,6]=>[1,7,2,5,3,8,4,6]=>[5,2,1]
[2,1,8,6,7,3,4,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[4,7,6,1,8,2,3,5]=>[1,8,2,3,5,4,7,6]=>[1,8,2,5,3,7,4,6]=>[5,2,1]
[5,7,6,8,1,2,3,4]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>[7,1]
[6,4,7,1,8,2,3,5]=>[1,8,2,3,5,4,7,6]=>[1,8,2,5,3,7,4,6]=>[5,2,1]
[8,4,6,1,7,2,3,5]=>[1,7,2,3,5,4,6,8]=>[1,7,2,5,3,4,6,8]=>[6,1,1]
[8,3,1,6,7,2,4,5]=>[1,6,7,2,4,5,3,8]=>[1,7,5,2,4,6,3,8]=>[5,1,1,1]
[4,3,1,2,7,8,5,6]=>[1,2,7,8,3,4,5,6]=>[1,2,8,3,4,5,7,6]=>[6,1,1]
[4,5,8,1,2,7,3,6]=>[1,2,7,3,6,4,5,8]=>[1,2,7,6,4,3,5,8]=>[5,1,1,1]
[4,6,8,1,7,2,3,5]=>[1,7,2,3,5,4,6,8]=>[1,7,2,5,3,4,6,8]=>[6,1,1]
[5,6,8,7,1,2,3,4]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>[7,1]
[8,5,7,6,1,2,3,4]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>[7,1]
[6,8,7,5,1,2,3,4]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>[7,1]
[6,4,7,3,8,5,1,2]=>[1,2,3,8,4,7,5,6]=>[1,2,3,8,7,5,4,6]=>[5,1,1,1]
[5,4,2,7,6,1,8,3]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[5,1,1,1]
[5,4,3,7,6,8,1,2]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>[7,1]
[5,4,3,7,8,6,1,2]=>[1,2,3,7,8,4,5,6]=>[1,2,3,8,4,5,7,6]=>[6,1,1]
[5,4,3,8,6,7,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[7,1]
[5,4,3,6,8,7,1,2]=>[1,2,3,6,8,4,5,7]=>[1,2,3,8,4,6,5,7]=>[6,1,1]
[5,3,2,6,1,8,7,4]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[5,1,1,1]
[6,4,8,2,5,1,7,3]=>[1,7,2,5,3,4,8,6]=>[1,7,5,3,2,8,4,6]=>[4,2,1,1]
[5,4,2,8,6,1,3,7]=>[1,3,7,2,8,4,5,6]=>[1,7,3,8,4,5,2,6]=>[5,2,1]
[5,3,2,6,1,8,4,7]=>[1,8,2,6,3,4,7,5]=>[1,8,6,3,7,2,4,5]=>[4,2,1,1]
[6,3,8,2,1,5,4,7]=>[1,5,2,3,8,4,7,6]=>[1,5,2,8,3,7,4,6]=>[5,2,1]
[7,8,3,2,1,5,4,6]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>[7,1]
[6,3,8,2,1,5,7,4]=>[1,5,7,2,3,8,4,6]=>[1,7,2,8,5,4,3,6]=>[4,2,1,1]
[5,3,2,7,1,8,6,4]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[5,1,1,1]
[6,3,7,2,1,5,4,8]=>[1,5,2,3,7,4,8,6]=>[1,5,2,7,3,8,4,6]=>[5,3]
[6,5,7,8,2,1,4,3]=>[1,4,2,3,5,7,8,6]=>[1,4,2,3,5,8,7,6]=>[5,2,1]
[5,4,2,8,7,1,3,6]=>[1,3,6,2,8,4,5,7]=>[1,6,3,8,4,2,5,7]=>[5,2,1]
[7,8,4,2,6,1,3,5]=>[1,3,5,2,6,4,7,8]=>[1,5,3,6,2,4,7,8]=>[5,2,1]
[7,8,3,2,1,6,4,5]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[7,1]
[6,3,8,2,1,7,4,5]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[5,2,1]
[4,3,2,1,8,7,5,6]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[5,3,2,8,1,4,7,6]=>[1,4,7,2,8,3,5,6]=>[1,7,8,4,3,5,2,6]=>[4,2,1,1]
[4,3,2,1,8,5,6,7]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[7,8,5,6,1,2,4,3]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[7,1]
[7,8,4,1,6,2,5,3]=>[1,6,2,5,3,4,7,8]=>[1,6,5,3,2,4,7,8]=>[5,1,1,1]
[6,1,8,3,2,7,5,4]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[5,1,1,1]
[7,8,1,3,2,6,5,4]=>[1,3,2,6,4,5,7,8]=>[1,3,2,6,4,5,7,8]=>[6,2]
[7,8,3,1,2,6,5,4]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>[7,1]
[7,8,2,3,1,6,5,4]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[7,1]
[7,8,2,1,3,6,5,4]=>[1,3,6,2,4,5,7,8]=>[1,6,3,2,4,5,7,8]=>[6,1,1]
[7,8,1,2,3,6,5,4]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>[7,1]
[5,1,2,8,3,7,6,4]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>[5,1,1,1]
[6,2,8,1,3,7,5,4]=>[1,3,7,2,8,4,5,6]=>[1,7,3,8,4,5,2,6]=>[5,2,1]
[6,2,8,4,7,1,5,3]=>[1,5,2,8,3,4,7,6]=>[1,5,8,3,2,7,4,6]=>[4,2,2]
[6,3,8,4,7,5,1,2]=>[1,2,3,8,4,7,5,6]=>[1,2,3,8,7,5,4,6]=>[5,1,1,1]
[1,2,5,8,3,7,6,4]=>[1,2,5,8,3,7,4,6]=>[1,2,8,7,5,4,3,6]=>[4,1,1,1,1]
[2,5,3,8,1,7,6,4]=>[1,7,2,5,3,8,4,6]=>[1,7,5,8,2,4,3,6]=>[4,2,1,1]
[3,5,4,8,7,6,1,2]=>[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,8,6,7]=>[6,2]
[5,3,4,8,7,6,1,2]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[7,1]
[5,2,4,8,7,1,6,3]=>[1,6,2,4,8,3,5,7]=>[1,6,8,2,3,4,5,7]=>[6,2]
[5,2,3,8,1,7,6,4]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[5,2,1]
[4,1,2,3,8,7,6,5]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[7,1]
[1,4,2,3,8,7,6,5]=>[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>[6,2]
[4,1,3,2,8,7,6,5]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[6,2]
[6,3,8,1,2,7,5,4]=>[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]=>[5,2,1]
[5,3,1,8,2,7,6,4]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[5,1,1,1]
[1,5,3,8,2,7,6,4]=>[1,5,2,7,3,8,4,6]=>[1,5,7,8,2,4,3,6]=>[4,3,1]
[5,4,1,8,7,2,6,3]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[5,1,1,1]
[6,5,8,7,1,2,4,3]=>[1,2,4,3,5,8,6,7]=>[1,2,4,3,5,8,6,7]=>[6,2]
[5,6,8,7,3,4,1,2]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>[7,1]
[5,6,8,7,2,1,4,3]=>[1,4,2,3,5,6,8,7]=>[1,4,2,3,5,6,8,7]=>[6,2]
[4,5,1,8,7,2,6,3]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[5,1,1,1]
[3,1,5,8,2,7,6,4]=>[1,5,8,2,7,3,4,6]=>[1,8,7,3,5,4,2,6]=>[4,1,1,1,1]
[4,6,8,3,7,5,1,2]=>[1,2,3,7,4,6,8,5]=>[1,2,3,7,8,4,6,5]=>[5,2,1]
[4,5,3,8,7,6,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[7,1]
[3,1,4,2,8,7,6,5]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>[6,2]
[4,3,5,8,7,6,1,2]=>[1,2,3,5,8,4,6,7]=>[1,2,3,8,5,4,6,7]=>[6,1,1]
[2,3,5,8,1,7,6,4]=>[1,7,2,3,5,8,4,6]=>[1,7,2,8,3,4,5,6]=>[6,2]
[6,2,5,1,4,3,8,7]=>[1,4,2,5,3,8,6,7]=>[1,4,5,2,3,8,6,7]=>[5,3]
[5,2,6,1,4,3,8,7]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,8,3,5,7]=>[5,3]
[7,2,6,1,4,3,8,5]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,8,3,5,7]=>[5,3]
[8,2,5,1,4,3,7,6]=>[1,4,2,5,3,7,6,8]=>[1,4,5,2,3,7,6,8]=>[5,3]
[8,1,4,3,7,2,6,5]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>[5,3]
[8,2,6,1,5,3,7,4]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[5,3]
[7,2,6,1,5,3,8,4]=>[1,5,2,6,3,8,4,7]=>[1,5,6,8,2,3,4,7]=>[5,3]
[6,2,7,1,5,3,8,4]=>[1,5,2,7,3,8,4,6]=>[1,5,7,8,2,4,3,6]=>[4,3,1]
[8,3,7,1,4,2,6,5]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>[5,3]
[8,3,7,1,5,2,6,4]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[5,3]
[7,3,8,1,5,2,6,4]=>[1,5,2,6,3,8,4,7]=>[1,5,6,8,2,3,4,7]=>[5,3]
[6,2,7,3,8,1,5,4]=>[1,5,2,7,3,8,4,6]=>[1,5,7,8,2,4,3,6]=>[4,3,1]
[5,1,8,3,7,2,6,4]=>[1,8,2,6,3,7,4,5]=>[1,8,6,7,4,2,3,5]=>[4,2,1,1]
[4,1,8,3,7,2,6,5]=>[1,8,2,6,3,7,4,5]=>[1,8,6,7,4,2,3,5]=>[4,2,1,1]
[4,1,7,3,8,2,6,5]=>[1,7,2,6,3,8,4,5]=>[1,7,6,8,4,2,3,5]=>[4,2,1,1]
[5,1,7,3,8,2,6,4]=>[1,7,2,6,3,8,4,5]=>[1,7,6,8,4,2,3,5]=>[4,2,1,1]
[7,3,8,2,6,1,5,4]=>[1,5,2,6,3,8,4,7]=>[1,5,6,8,2,3,4,7]=>[5,3]
[8,2,6,3,7,1,5,4]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[5,3]
[5,3,6,2,8,1,4,7]=>[1,4,7,2,8,3,6,5]=>[1,7,8,4,6,3,2,5]=>[3,2,2,1]
[4,5,2,6,3,8,1,7]=>[1,7,2,6,3,8,4,5]=>[1,7,6,8,4,2,3,5]=>[4,2,1,1]
[4,5,1,6,3,8,2,7]=>[1,6,2,7,3,8,4,5]=>[1,6,7,8,4,2,3,5]=>[4,3,1]
[4,5,6,3,2,8,1,7]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[5,2,1]
[6,7,4,8,3,2,5,1]=>[1,2,5,3,4,8,6,7]=>[1,2,5,3,4,8,6,7]=>[6,2]
[6,7,4,8,3,2,1,5]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>[6,2]
[6,7,4,1,8,3,2,5]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[5,1,1,1]
[5,3,7,8,1,4,2,6]=>[1,4,2,6,3,7,8,5]=>[1,4,6,2,8,3,7,5]=>[4,3,1]
[7,4,1,5,8,3,6,2]=>[1,5,8,2,3,6,4,7]=>[1,8,2,6,5,3,4,7]=>[5,1,1,1]
[6,7,4,3,8,1,5,2]=>[1,5,2,3,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>[6,2]
[5,6,1,7,3,8,4,2]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[5,2,1]
[6,4,7,1,8,3,5,2]=>[1,8,2,3,5,4,7,6]=>[1,8,2,5,3,7,4,6]=>[5,2,1]
[6,7,8,3,1,4,5,2]=>[1,4,5,2,3,6,7,8]=>[1,5,2,4,3,6,7,8]=>[6,1,1]
[6,7,2,8,4,5,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[6,2]
[6,7,2,8,4,1,3,5]=>[1,3,5,2,8,4,6,7]=>[1,5,3,8,2,4,6,7]=>[5,2,1]
[6,1,7,4,8,3,2,5]=>[1,7,2,5,3,4,8,6]=>[1,7,5,3,2,8,4,6]=>[4,2,1,1]
[5,6,1,7,3,2,8,4]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[5,2,1]
[5,6,7,3,2,1,8,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[5,6,7,3,2,8,4,1]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[7,1]
[7,4,2,5,1,8,3,6]=>[1,8,2,5,3,6,4,7]=>[1,8,5,6,2,3,4,7]=>[5,2,1]
[6,7,4,2,8,3,5,1]=>[1,2,8,3,5,4,6,7]=>[1,2,8,5,3,4,6,7]=>[6,1,1]
[3,6,7,2,8,4,5,1]=>[1,2,8,3,6,7,4,5]=>[1,2,8,7,4,3,6,5]=>[4,2,1,1]
[6,4,7,8,2,1,5,3]=>[1,5,2,3,4,7,8,6]=>[1,5,2,3,4,8,7,6]=>[5,2,1]
[5,3,7,8,1,6,2,4]=>[1,6,2,4,3,7,8,5]=>[1,6,4,2,8,3,7,5]=>[4,2,2]
[6,7,2,8,5,1,3,4]=>[1,3,4,2,8,5,6,7]=>[1,4,3,2,8,5,6,7]=>[5,2,1]
[6,4,1,7,8,2,5,3]=>[1,7,8,2,5,3,4,6]=>[1,8,5,3,2,4,7,6]=>[4,2,1,1]
[5,6,2,7,1,8,4,3]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[5,1,1,1]
[5,6,2,7,8,4,3,1]=>[1,2,7,8,3,4,5,6]=>[1,2,8,3,4,5,7,6]=>[6,1,1]
[5,6,7,2,8,4,3,1]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[7,1]
[5,6,7,2,1,8,4,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[5,6,1,7,2,8,4,3]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[5,2,1]
[6,7,8,3,5,1,4,2]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[7,1]
[5,6,1,7,8,4,3,2]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[6,1,1]
[5,6,7,1,8,4,3,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[8,3,2,5,1,6,4,7]=>[1,6,2,5,3,4,7,8]=>[1,6,5,3,2,4,7,8]=>[5,1,1,1]
[5,3,2,7,4,1,8,6]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[5,1,1,1]
[8,2,4,5,6,1,3,7]=>[1,3,7,2,4,5,6,8]=>[1,7,3,2,4,5,6,8]=>[6,1,1]
[8,5,3,6,4,1,2,7]=>[1,2,7,3,6,4,5,8]=>[1,2,7,6,4,3,5,8]=>[5,1,1,1]
[7,4,5,8,3,2,6,1]=>[1,2,6,3,4,5,8,7]=>[1,2,6,3,4,5,8,7]=>[6,2]
[4,3,6,7,2,8,5,1]=>[1,2,8,3,6,7,4,5]=>[1,2,8,7,4,3,6,5]=>[4,2,1,1]
[4,5,3,7,1,8,2,6]=>[1,8,2,6,3,7,4,5]=>[1,8,6,7,4,2,3,5]=>[4,2,1,1]
[7,4,5,8,3,6,1,2]=>[1,2,3,6,4,5,8,7]=>[1,2,3,6,4,5,8,7]=>[6,2]
[3,5,6,7,8,4,1,2]=>[1,2,3,5,6,7,8,4]=>[1,2,3,8,5,6,7,4]=>[6,1,1]
[3,1,5,6,7,8,4,2]=>[1,5,6,7,8,2,3,4]=>[1,8,2,3,5,6,7,4]=>[6,1,1]
[6,2,4,1,7,8,5,3]=>[1,7,8,2,4,3,5,6]=>[1,8,4,2,3,5,7,6]=>[5,2,1]
[1,5,3,6,7,8,2,4]=>[1,5,2,4,3,6,7,8]=>[1,5,4,2,3,6,7,8]=>[6,1,1]
[3,6,2,7,4,8,1,5]=>[1,5,2,7,3,6,4,8]=>[1,5,7,6,2,3,4,8]=>[5,2,1]
[7,8,4,2,1,3,6,5]=>[1,3,6,2,4,5,7,8]=>[1,6,3,2,4,5,7,8]=>[6,1,1]
[6,3,2,7,1,8,5,4]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[5,1,1,1]
[6,7,3,8,2,5,4,1]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>[6,2]
[6,4,7,8,5,2,3,1]=>[1,2,3,4,7,8,5,6]=>[1,2,3,4,8,5,7,6]=>[6,1,1]
[7,4,1,5,8,6,2,3]=>[1,5,8,2,3,4,6,7]=>[1,8,2,3,5,4,6,7]=>[6,1,1]
[7,5,8,2,1,6,3,4]=>[1,6,2,3,4,5,8,7]=>[1,6,2,3,4,5,8,7]=>[6,2]
[6,3,1,7,8,2,5,4]=>[1,7,8,2,5,3,4,6]=>[1,8,5,3,2,4,7,6]=>[4,2,1,1]
[5,1,2,6,7,8,4,3]=>[1,2,6,7,8,3,4,5]=>[1,2,8,3,4,6,7,5]=>[6,1,1]
[5,2,6,7,8,4,3,1]=>[1,2,6,7,8,3,4,5]=>[1,2,8,3,4,6,7,5]=>[6,1,1]
[6,7,3,8,5,1,4,2]=>[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>[6,2]
[6,4,7,8,5,3,1,2]=>[1,2,3,4,7,8,5,6]=>[1,2,3,4,8,5,7,6]=>[6,1,1]
[3,1,2,6,5,8,7,4]=>[1,2,6,3,4,5,8,7]=>[1,2,6,3,4,5,8,7]=>[6,2]
[4,5,1,2,3,8,7,6]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[7,1]
[4,6,1,2,3,8,7,5]=>[1,2,3,8,4,6,5,7]=>[1,2,3,8,6,4,5,7]=>[6,1,1]
[1,6,5,3,4,8,7,2]=>[1,6,2,3,4,8,5,7]=>[1,6,2,3,8,4,5,7]=>[6,2]
[6,1,5,2,4,8,7,3]=>[1,5,2,4,8,3,6,7]=>[1,5,8,2,4,3,6,7]=>[5,2,1]
[6,5,1,2,3,8,7,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[7,1]
[6,4,1,2,3,8,7,5]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[7,1]
[5,4,1,2,3,8,7,6]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[7,1]
[5,4,1,2,7,3,6,8]=>[1,2,7,3,6,8,4,5]=>[1,2,7,8,4,3,6,5]=>[4,2,2]
[6,4,1,7,2,3,5,8]=>[1,7,2,3,5,8,4,6]=>[1,7,2,8,3,4,5,6]=>[6,2]
[6,4,1,8,2,3,5,7]=>[1,8,2,3,5,7,4,6]=>[1,8,2,7,3,4,5,6]=>[6,1,1]
[7,1,5,2,8,4,6,3]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[5,2,1]
[8,4,1,2,7,3,6,5]=>[1,2,7,3,6,4,5,8]=>[1,2,7,6,4,3,5,8]=>[5,1,1,1]
[7,4,1,6,2,3,5,8]=>[1,6,2,3,5,8,4,7]=>[1,6,2,8,3,5,4,7]=>[5,2,1]
[8,6,1,7,2,3,5,4]=>[1,7,2,3,5,4,6,8]=>[1,7,2,5,3,4,6,8]=>[6,1,1]
[8,1,6,7,2,4,5,3]=>[1,6,7,2,4,5,3,8]=>[1,7,5,2,4,6,3,8]=>[5,1,1,1]
[7,6,1,8,2,3,5,4]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>[6,1,1]
[3,1,2,7,8,5,6,4]=>[1,2,7,8,3,4,5,6]=>[1,2,8,3,4,5,7,6]=>[6,1,1]
[3,1,7,6,2,4,5,8]=>[1,7,2,4,5,8,3,6]=>[1,7,8,2,4,3,5,6]=>[5,2,1]
[4,7,1,6,2,3,5,8]=>[1,6,2,3,5,8,4,7]=>[1,6,2,8,3,5,4,7]=>[5,2,1]
[5,8,1,2,7,3,6,4]=>[1,2,7,3,6,4,5,8]=>[1,2,7,6,4,3,5,8]=>[5,1,1,1]
[5,1,8,2,7,4,6,3]=>[1,8,2,7,3,4,6,5]=>[1,8,7,3,6,4,2,5]=>[4,1,1,1,1]
[6,8,1,7,2,3,5,4]=>[1,7,2,3,5,4,6,8]=>[1,7,2,5,3,4,6,8]=>[6,1,1]
[6,8,7,1,2,3,4,5]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>[7,1]
[5,8,6,1,2,3,4,7]=>[1,2,3,4,7,5,8,6]=>[1,2,3,4,7,8,5,6]=>[6,2]
[5,7,6,1,2,3,4,8]=>[1,2,3,4,8,5,7,6]=>[1,2,3,4,8,7,5,6]=>[6,1,1]
[1,7,8,6,3,4,5,2]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[6,1,1]
[6,8,1,4,5,7,3,2]=>[1,4,5,7,2,3,6,8]=>[1,7,2,4,5,3,6,8]=>[6,1,1]
[8,7,2,4,5,1,3,6]=>[1,3,6,2,4,5,7,8]=>[1,6,3,2,4,5,7,8]=>[6,1,1]
[6,3,1,4,5,2,8,7]=>[1,4,5,2,8,3,6,7]=>[1,5,8,4,2,3,6,7]=>[5,2,1]
[3,1,6,4,5,2,8,7]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[5,2,1]
[5,8,7,4,2,6,3,1]=>[1,2,6,3,4,5,8,7]=>[1,2,6,3,4,5,8,7]=>[6,2]
[3,7,8,4,5,1,2,6]=>[1,2,6,3,7,8,4,5]=>[1,2,6,8,4,3,7,5]=>[4,2,2]
[5,6,3,8,1,7,2,4]=>[1,7,2,4,3,8,5,6]=>[1,7,4,2,8,5,3,6]=>[4,2,2]
[3,7,6,4,5,8,2,1]=>[1,2,3,7,4,5,8,6]=>[1,2,3,7,4,8,5,6]=>[6,2]
[8,5,7,4,1,6,3,2]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[7,1]
[2,5,8,4,7,6,1,3]=>[1,3,2,5,8,4,7,6]=>[1,3,2,8,5,7,4,6]=>[4,3,1]
[8,4,1,3,5,6,7,2]=>[1,3,5,6,7,2,4,8]=>[1,7,3,2,5,6,4,8]=>[5,2,1]
[7,5,8,4,3,6,1,2]=>[1,2,3,6,4,5,8,7]=>[1,2,3,6,4,5,8,7]=>[6,2]
[6,5,3,8,4,1,7,2]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[5,2,1]
[2,1,4,8,3,6,7,5]=>[1,4,8,2,3,6,7,5]=>[1,8,2,4,7,3,6,5]=>[4,2,1,1]
[7,3,8,4,2,6,1,5]=>[1,5,2,6,3,8,4,7]=>[1,5,6,8,2,3,4,7]=>[5,3]
[4,8,2,3,5,6,7,1]=>[1,2,3,5,6,7,4,8]=>[1,2,3,7,5,6,4,8]=>[6,1,1]
[8,7,1,4,3,6,2,5]=>[1,4,2,5,3,6,7,8]=>[1,4,5,2,3,6,7,8]=>[6,2]
[5,6,3,8,4,2,7,1]=>[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]=>[5,2,1]
[3,5,8,4,7,6,2,1]=>[1,2,3,5,8,4,7,6]=>[1,2,3,8,5,7,4,6]=>[5,2,1]
[5,8,2,4,7,6,1,3]=>[1,3,2,4,7,5,8,6]=>[1,3,2,4,7,8,5,6]=>[5,3]
[7,1,6,4,5,8,2,3]=>[1,6,2,3,4,5,8,7]=>[1,6,2,3,4,5,8,7]=>[6,2]
[6,8,3,5,2,1,7,4]=>[1,7,2,3,5,4,6,8]=>[1,7,2,5,3,4,6,8]=>[6,1,1]
[7,8,5,4,2,6,1,3]=>[1,3,2,6,4,5,7,8]=>[1,3,2,6,4,5,7,8]=>[6,2]
[3,4,2,8,5,6,7,1]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[7,1]
[2,4,1,8,5,6,7,3]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[6,1,1]
[7,5,2,4,8,6,1,3]=>[1,3,2,4,8,5,6,7]=>[1,3,2,4,8,5,6,7]=>[6,2]
[2,1,5,3,8,6,7,4]=>[1,5,2,3,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>[6,2]
[3,1,4,8,5,6,7,2]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>[6,1,1]
[6,5,3,7,2,8,4,1]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>[5,1,1,1]
[2,5,7,4,8,6,3,1]=>[1,2,5,7,3,4,8,6]=>[1,2,7,3,5,8,4,6]=>[5,2,1]
[3,8,7,4,5,2,1,6]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>[5,2,1]
[4,6,3,5,8,2,7,1]=>[1,2,7,3,5,8,4,6]=>[1,2,7,8,3,4,5,6]=>[6,2]
[3,2,7,6,4,5,1,8]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[5,1,1,1]
[6,8,5,2,3,1,4,7]=>[1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>[6,1,1]
[3,2,8,6,4,1,5,7]=>[1,5,7,2,8,3,4,6]=>[1,7,8,3,5,4,2,6]=>[4,2,1,1]
[7,1,5,2,8,3,4,6]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[5,2,1]
[1,8,5,2,7,3,4,6]=>[1,8,2,7,3,4,6,5]=>[1,8,7,3,6,4,2,5]=>[4,1,1,1,1]
[3,2,1,7,8,4,5,6]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[6,1,1]
[5,8,7,2,1,3,4,6]=>[1,3,4,6,2,5,8,7]=>[1,6,3,4,2,5,8,7]=>[5,2,1]
[3,2,5,4,1,8,6,7]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[5,1,1,1]
[7,4,2,1,8,3,5,6]=>[1,8,2,3,5,6,4,7]=>[1,8,2,6,3,5,4,7]=>[5,1,1,1]
[1,4,2,8,7,3,5,6]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>[6,2]
[1,5,8,2,7,3,4,6]=>[1,5,8,2,7,3,4,6]=>[1,8,7,3,5,4,2,6]=>[4,1,1,1,1]
[3,2,7,1,8,4,5,6]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[5,1,1,1]
[4,7,2,1,8,3,5,6]=>[1,8,2,3,5,6,4,7]=>[1,8,2,6,3,5,4,7]=>[5,1,1,1]
[1,7,8,6,2,3,4,5]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[6,1,1]
[7,8,1,6,2,3,4,5]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[7,1]
[3,2,8,1,7,4,5,6]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[5,2,1]
[5,1,8,2,7,3,4,6]=>[1,8,2,7,3,4,6,5]=>[1,8,7,3,6,4,2,5]=>[4,1,1,1,1]
[6,1,8,7,2,3,4,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[2,8,4,1,6,5,7,3]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[5,2,1]
[2,8,5,6,7,4,3,1]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[7,1]
[7,5,8,6,1,4,2,3]=>[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]=>[6,2]
[2,8,5,3,4,1,7,6]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[5,2,1]
[2,8,5,6,7,4,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[6,2]
[2,8,5,3,4,7,1,6]=>[1,6,2,8,3,4,7,5]=>[1,6,8,3,7,2,4,5]=>[4,2,2]
[6,5,2,8,3,1,7,4]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[5,2,1]
[6,5,2,8,3,1,4,7]=>[1,4,7,2,8,3,5,6]=>[1,7,8,4,3,5,2,6]=>[4,2,1,1]
[7,5,8,6,1,4,3,2]=>[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]=>[6,2]
[6,5,8,2,1,3,7,4]=>[1,3,7,2,4,5,8,6]=>[1,7,3,2,4,8,5,6]=>[5,2,1]
[3,5,6,2,1,8,7,4]=>[1,8,2,3,5,6,4,7]=>[1,8,2,6,3,5,4,7]=>[5,1,1,1]
[6,5,2,7,3,1,8,4]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[5,1,1,1]
[6,5,2,7,3,4,8,1]=>[1,2,7,3,4,8,5,6]=>[1,2,7,3,8,5,4,6]=>[5,2,1]
[5,1,2,6,4,8,7,3]=>[1,2,6,3,4,8,5,7]=>[1,2,6,3,8,4,5,7]=>[6,2]
[6,5,2,8,3,7,4,1]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>[5,1,1,1]
[4,1,2,3,8,6,5,7]=>[1,2,3,8,4,5,7,6]=>[1,2,3,8,4,7,5,6]=>[6,1,1]
[4,1,2,3,8,6,7,5]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[7,1]
[4,1,2,3,8,5,7,6]=>[1,2,3,8,4,5,7,6]=>[1,2,3,8,4,7,5,6]=>[6,1,1]
[6,5,8,2,4,3,7,1]=>[1,2,4,3,7,5,8,6]=>[1,2,4,3,7,8,5,6]=>[5,3]
[6,5,2,7,3,4,1,8]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[5,1,1,1]
[5,1,6,8,7,3,2,4]=>[1,6,8,2,4,3,5,7]=>[1,8,4,2,3,6,5,7]=>[5,2,1]
[4,1,6,7,8,3,2,5]=>[1,6,7,8,2,5,3,4]=>[1,8,5,3,2,6,7,4]=>[4,2,1,1]
[4,1,6,5,7,3,2,8]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[5,2,1]
[4,5,2,6,3,7,1,8]=>[1,8,2,6,3,7,4,5]=>[1,8,6,7,4,2,3,5]=>[4,2,1,1]
[4,5,2,7,3,8,1,6]=>[1,6,2,7,3,8,4,5]=>[1,6,7,8,4,2,3,5]=>[4,3,1]
[3,7,5,6,8,4,1,2]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>[7,1]
[6,1,2,5,8,4,7,3]=>[1,2,5,8,3,4,7,6]=>[1,2,8,3,5,7,4,6]=>[5,2,1]
[4,1,2,3,5,8,7,6]=>[1,2,3,5,8,4,6,7]=>[1,2,3,8,5,4,6,7]=>[6,1,1]
[4,1,6,7,8,3,5,2]=>[1,6,7,8,2,3,5,4]=>[1,8,2,5,3,6,7,4]=>[5,2,1]
[4,5,2,6,3,7,8,1]=>[1,2,6,3,7,8,4,5]=>[1,2,6,8,4,3,7,5]=>[4,2,2]
[6,3,1,2,7,4,8,5]=>[1,2,7,3,4,8,5,6]=>[1,2,7,3,8,5,4,6]=>[5,2,1]
[8,5,3,6,1,7,2,4]=>[1,7,2,4,3,6,5,8]=>[1,7,4,2,6,3,5,8]=>[5,2,1]
[8,3,6,2,4,7,1,5]=>[1,5,2,4,7,3,6,8]=>[1,5,7,2,4,3,6,8]=>[5,2,1]
[7,3,6,2,4,8,1,5]=>[1,5,2,4,8,3,6,7]=>[1,5,8,2,4,3,6,7]=>[5,2,1]
[6,3,7,4,1,2,8,5]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>[5,1,1,1]
[4,7,1,5,2,3,8,6]=>[1,5,2,3,8,4,7,6]=>[1,5,2,8,3,7,4,6]=>[5,2,1]
[3,7,5,1,2,4,8,6]=>[1,2,4,8,3,7,5,6]=>[1,2,8,4,7,5,3,6]=>[5,1,1,1]
[4,7,6,3,8,1,2,5]=>[1,2,5,3,8,4,7,6]=>[1,2,5,8,3,7,4,6]=>[5,2,1]
[5,7,2,6,1,8,3,4]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[5,1,1,1]
[5,8,2,6,3,7,1,4]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>[5,3]
[3,8,6,1,2,7,4,5]=>[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]=>[5,2,1]
[3,8,6,2,4,7,1,5]=>[1,5,2,4,7,3,8,6]=>[1,5,7,2,4,8,3,6]=>[4,3,1]
[4,8,6,2,7,1,3,5]=>[1,3,5,2,7,4,8,6]=>[1,5,3,7,2,8,4,6]=>[4,3,1]
[7,3,8,5,6,1,2,4]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,8,5,6,7]=>[6,2]
[6,3,7,5,8,1,2,4]=>[1,2,4,3,7,5,8,6]=>[1,2,4,3,7,8,5,6]=>[5,3]
[2,7,6,4,8,1,3,5]=>[1,3,5,2,7,4,8,6]=>[1,5,3,7,2,8,4,6]=>[4,3,1]
[8,4,1,6,7,2,3,5]=>[1,6,7,2,3,5,4,8]=>[1,7,2,5,3,6,4,8]=>[5,2,1]
[6,5,1,2,7,8,3,4]=>[1,2,7,8,3,4,5,6]=>[1,2,8,3,4,5,7,6]=>[6,1,1]
[4,7,1,5,8,6,2,3]=>[1,5,8,2,3,4,7,6]=>[1,8,2,3,5,7,4,6]=>[5,2,1]
[7,4,1,8,6,2,3,5]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>[6,1,1]
[7,6,1,8,5,2,3,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[5,7,2,8,1,6,3,4]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[5,2,1]
[3,6,8,2,7,1,4,5]=>[1,4,5,2,7,3,6,8]=>[1,5,7,4,2,3,6,8]=>[5,2,1]
[8,4,7,6,1,2,3,5]=>[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>[6,2]
[2,5,8,7,1,3,4,6]=>[1,3,4,6,2,5,8,7]=>[1,6,3,4,2,5,8,7]=>[5,2,1]
[4,7,1,8,6,2,3,5]=>[1,8,2,3,5,4,7,6]=>[1,8,2,5,3,7,4,6]=>[5,2,1]
[7,5,8,6,4,1,2,3]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>[7,1]
[5,8,7,1,6,2,3,4]=>[1,6,2,3,4,5,8,7]=>[1,6,2,3,4,5,8,7]=>[6,2]
[3,8,7,6,1,2,4,5]=>[1,2,4,5,3,8,6,7]=>[1,2,5,4,3,8,6,7]=>[5,2,1]
[4,8,7,6,1,2,3,5]=>[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,8,6,7]=>[6,2]
[5,6,3,1,4,2,8,7]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>[6,2]
[7,5,3,8,2,1,6,4]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>[5,2,1]
[3,8,7,4,5,1,6,2]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>[5,2,1]
[5,7,3,8,1,2,6,4]=>[1,2,6,3,8,4,5,7]=>[1,2,6,8,4,3,5,7]=>[5,2,1]
[7,5,1,4,8,6,3,2]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>[6,1,1]
[6,4,3,8,1,5,7,2]=>[1,5,7,2,3,8,4,6]=>[1,7,2,8,5,4,3,6]=>[4,2,1,1]
[7,3,8,4,1,6,5,2]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>[5,2,1]
[6,3,2,5,1,8,4,7]=>[1,8,2,5,3,4,7,6]=>[1,8,5,3,2,7,4,6]=>[4,2,1,1]
[7,2,6,3,4,5,8,1]=>[1,2,6,3,4,5,8,7]=>[1,2,6,3,4,5,8,7]=>[6,2]
[6,2,7,3,4,5,8,1]=>[1,2,7,3,4,5,8,6]=>[1,2,7,3,4,8,5,6]=>[6,2]
[6,7,3,5,2,4,8,1]=>[1,2,4,8,3,5,6,7]=>[1,2,8,4,3,5,6,7]=>[6,1,1]
[3,7,6,2,4,5,8,1]=>[1,2,4,5,8,3,7,6]=>[1,2,8,4,5,7,3,6]=>[5,2,1]
[1,6,3,2,8,4,5,7]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[5,2,1]
[4,2,6,5,1,8,3,7]=>[1,8,2,6,3,7,4,5]=>[1,8,6,7,4,2,3,5]=>[4,2,1,1]
[5,4,8,6,2,7,1,3]=>[1,3,2,7,4,8,5,6]=>[1,3,2,7,8,5,4,6]=>[4,3,1]
[7,8,5,2,3,6,1,4]=>[1,4,2,3,6,5,7,8]=>[1,4,2,3,6,5,7,8]=>[6,2]
[2,8,1,7,3,4,5,6]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[5,2,1]
[4,2,8,3,7,1,5,6]=>[1,5,6,2,8,3,7,4]=>[1,6,8,7,5,2,3,4]=>[4,2,1,1]
[8,1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>[7,1]
[6,3,7,1,2,8,4,5]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>[5,1,1,1]
[7,2,6,1,8,3,4,5]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[5,1,1,1]
[7,6,8,2,3,5,1,4]=>[1,4,2,3,5,6,8,7]=>[1,4,2,3,5,6,8,7]=>[6,2]
[5,4,7,8,2,6,1,3]=>[1,3,2,6,4,7,8,5]=>[1,3,2,6,8,4,7,5]=>[4,3,1]
[3,6,2,8,7,1,4,5]=>[1,4,5,2,8,3,6,7]=>[1,5,8,4,2,3,6,7]=>[5,2,1]
[2,1,8,7,3,4,5,6]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[1,2,8,7,3,4,5,6]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[7,1]
[1,3,8,7,2,4,5,6]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>[6,1,1]
[5,4,8,7,6,1,2,3]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[7,1]
[8,1,6,7,3,2,4,5]=>[1,6,7,2,4,5,3,8]=>[1,7,5,2,4,6,3,8]=>[5,1,1,1]
[8,1,5,3,6,2,4,7]=>[1,5,2,4,7,3,6,8]=>[1,5,7,2,4,3,6,8]=>[5,2,1]
[7,4,8,3,2,6,5,1]=>[1,2,6,3,4,8,5,7]=>[1,2,6,3,8,4,5,7]=>[6,2]
[8,1,5,4,6,7,2,3]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>[7,1]
[8,1,5,3,6,2,7,4]=>[1,5,2,7,3,6,4,8]=>[1,5,7,6,2,3,4,8]=>[5,2,1]
[8,1,4,3,2,6,7,5]=>[1,4,2,6,7,3,5,8]=>[1,4,7,2,3,6,5,8]=>[5,2,1]
[8,1,4,3,2,5,7,6]=>[1,4,2,5,7,3,6,8]=>[1,4,7,2,5,3,6,8]=>[5,2,1]
[7,4,1,3,2,5,6,8]=>[1,3,2,5,6,8,4,7]=>[1,3,2,8,5,6,4,7]=>[5,2,1]
[6,4,3,1,2,5,8,7]=>[1,2,5,8,3,4,6,7]=>[1,2,8,3,5,4,6,7]=>[6,1,1]
[7,4,1,3,2,5,8,6]=>[1,3,2,5,8,4,6,7]=>[1,3,2,8,5,4,6,7]=>[5,2,1]
[7,5,1,3,6,2,8,4]=>[1,3,6,2,8,4,5,7]=>[1,6,3,8,4,2,5,7]=>[5,2,1]
[7,5,1,4,6,8,2,3]=>[1,4,6,8,2,3,5,7]=>[1,8,2,4,3,6,5,7]=>[5,2,1]
[6,4,3,8,2,5,1,7]=>[1,7,2,5,3,8,4,6]=>[1,7,5,8,2,4,3,6]=>[4,2,1,1]
[5,4,3,2,8,6,1,7]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[5,2,1]
[5,4,3,2,8,7,1,6]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[5,2,1]
[6,5,4,8,7,1,2,3]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[7,1]
[6,5,4,1,7,8,2,3]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[6,1,1]
[6,4,3,1,2,7,8,5]=>[1,2,7,8,3,4,5,6]=>[1,2,8,3,4,5,7,6]=>[6,1,1]
[7,4,1,3,2,8,5,6]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[6,2]
[6,4,3,1,2,7,5,8]=>[1,2,7,3,4,5,8,6]=>[1,2,7,3,4,8,5,6]=>[6,2]
[6,4,3,8,2,7,5,1]=>[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]=>[5,2,1]
[6,5,3,8,7,2,4,1]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,8,5,6,7]=>[6,2]
[6,4,3,7,2,8,5,1]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>[5,1,1,1]
[7,5,8,4,1,6,2,3]=>[1,6,2,3,4,5,8,7]=>[1,6,2,3,4,5,8,7]=>[6,2]
[6,5,3,8,1,2,7,4]=>[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]=>[5,2,1]
[6,5,4,7,1,8,2,3]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[5,1,1,1]
[5,6,8,3,4,1,2,7]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>[7,1]
[4,6,2,7,5,3,1,8]=>[1,8,2,7,3,4,6,5]=>[1,8,7,3,6,4,2,5]=>[4,1,1,1,1]
[5,6,8,4,3,1,2,7]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>[7,1]
[5,7,8,4,1,3,6,2]=>[1,3,6,2,4,5,7,8]=>[1,6,3,2,4,5,7,8]=>[6,1,1]
[5,6,8,4,2,1,3,7]=>[1,3,7,2,4,5,6,8]=>[1,7,3,2,4,5,6,8]=>[6,1,1]
[5,7,8,4,1,3,2,6]=>[1,3,2,6,4,5,7,8]=>[1,3,2,6,4,5,7,8]=>[6,2]
[5,7,8,4,1,2,3,6]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>[7,1]
[6,7,8,1,5,2,3,4]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>[7,1]
[6,7,8,1,5,3,2,4]=>[1,5,2,4,3,6,7,8]=>[1,5,4,2,3,6,7,8]=>[6,1,1]
[6,7,8,1,3,5,2,4]=>[1,3,5,2,4,6,7,8]=>[1,5,3,2,4,6,7,8]=>[6,1,1]
[5,7,8,2,1,6,3,4]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[7,1]
[4,7,2,8,1,6,3,5]=>[1,6,2,8,3,5,4,7]=>[1,6,8,5,3,2,4,7]=>[4,2,1,1]
[4,7,2,8,1,6,5,3]=>[1,6,2,8,3,4,7,5]=>[1,6,8,3,7,2,4,5]=>[4,2,2]
[5,7,8,2,1,6,4,3]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[7,1]
[6,7,8,1,3,5,4,2]=>[1,3,5,2,4,6,7,8]=>[1,5,3,2,4,6,7,8]=>[6,1,1]
[6,7,8,1,5,3,4,2]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>[7,1]
[6,7,8,1,4,3,5,2]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[7,1]
[4,7,3,8,1,6,2,5]=>[1,6,2,5,3,8,4,7]=>[1,6,5,8,2,3,4,7]=>[5,2,1]
[4,7,3,8,1,5,6,2]=>[1,5,6,2,3,8,4,7]=>[1,6,2,8,5,3,4,7]=>[5,2,1]
[4,7,3,8,1,5,2,6]=>[1,5,2,6,3,8,4,7]=>[1,5,6,8,2,3,4,7]=>[5,3]
[5,6,8,3,2,1,4,7]=>[1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>[6,1,1]
[3,2,7,8,1,5,4,6]=>[1,5,2,7,8,3,4,6]=>[1,5,8,3,2,4,7,6]=>[4,2,2]
[6,7,8,1,4,2,3,5]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[7,1]
[5,7,8,2,1,3,6,4]=>[1,3,6,2,4,5,7,8]=>[1,6,3,2,4,5,7,8]=>[6,1,1]
[6,7,8,1,3,2,4,5]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[7,1]
[6,7,8,1,2,4,3,5]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[7,1]
[6,7,8,1,2,3,5,4]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[7,1]
[8,3,5,1,7,4,6,2]=>[1,7,2,3,5,4,6,8]=>[1,7,2,5,3,4,6,8]=>[6,1,1]
[1,4,6,2,7,5,8,3]=>[1,4,6,2,7,3,5,8]=>[1,6,7,4,3,2,5,8]=>[4,2,1,1]
[4,7,5,6,1,8,3,2]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[5,1,1,1]
[6,7,5,1,8,4,3,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[6,7,5,3,1,8,4,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[1,5,3,2,7,6,8,4]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>[5,2,1]
[2,5,3,1,7,6,8,4]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>[5,1,1,1]
[5,3,1,2,7,6,8,4]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>[7,1]
[4,3,1,2,7,6,8,5]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>[7,1]
[6,7,1,5,8,2,3,4]=>[1,5,8,2,3,4,6,7]=>[1,8,2,3,5,4,6,7]=>[6,1,1]
[2,7,6,1,5,8,3,4]=>[1,5,8,2,7,3,4,6]=>[1,8,7,3,5,4,2,6]=>[4,1,1,1,1]
[2,3,5,1,7,6,8,4]=>[1,7,2,3,5,4,6,8]=>[1,7,2,5,3,4,6,8]=>[6,1,1]
[3,5,2,1,7,6,8,4]=>[1,7,2,3,5,4,6,8]=>[1,7,2,5,3,4,6,8]=>[6,1,1]
[7,6,2,1,5,8,3,4]=>[1,5,8,2,3,4,6,7]=>[1,8,2,3,5,4,6,7]=>[6,1,1]
[5,2,1,3,7,6,8,4]=>[1,3,7,2,4,5,6,8]=>[1,7,3,2,4,5,6,8]=>[6,1,1]
[8,4,2,6,7,5,1,3]=>[1,3,2,6,7,4,5,8]=>[1,3,2,7,4,6,5,8]=>[5,2,1]
[5,1,3,2,7,6,8,4]=>[1,3,2,7,4,5,6,8]=>[1,3,2,7,4,5,6,8]=>[6,2]
[2,4,1,3,7,6,8,5]=>[1,3,7,2,4,5,6,8]=>[1,7,3,2,4,5,6,8]=>[6,1,1]
[2,5,1,3,7,6,8,4]=>[1,3,7,2,5,4,6,8]=>[1,7,3,5,2,4,6,8]=>[5,2,1]
[6,8,2,3,5,7,1,4]=>[1,4,2,3,5,7,6,8]=>[1,4,2,3,5,7,6,8]=>[6,2]
[6,7,1,3,5,8,2,4]=>[1,3,5,8,2,4,6,7]=>[1,8,3,2,5,4,6,7]=>[5,2,1]
[5,1,2,3,7,6,8,4]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>[7,1]
[6,8,7,1,5,3,2,4]=>[1,5,2,4,3,6,8,7]=>[1,5,4,2,3,6,8,7]=>[5,2,1]
[6,8,7,3,5,1,2,4]=>[1,2,4,3,5,6,8,7]=>[1,2,4,3,5,6,8,7]=>[6,2]
[7,8,1,3,6,5,2,4]=>[1,3,6,2,4,5,7,8]=>[1,6,3,2,4,5,7,8]=>[6,1,1]
[4,2,7,1,8,6,5,3]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[5,1,1,1]
[7,8,2,3,6,5,1,4]=>[1,4,2,3,6,5,7,8]=>[1,4,2,3,6,5,7,8]=>[6,2]
[8,5,7,1,6,2,3,4]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[7,1]
[8,5,7,1,2,6,3,4]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>[7,1]
[6,2,4,8,7,1,5,3]=>[1,5,2,4,8,3,6,7]=>[1,5,8,2,4,3,6,7]=>[5,2,1]
[6,8,7,2,3,5,1,4]=>[1,4,2,3,5,6,8,7]=>[1,4,2,3,5,6,8,7]=>[6,2]
[6,8,2,1,7,3,5,4]=>[1,7,2,3,5,4,6,8]=>[1,7,2,5,3,4,6,8]=>[6,1,1]
[8,5,7,2,1,6,3,4]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[7,1]
[8,5,7,1,2,3,6,4]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>[7,1]
[8,5,7,2,3,1,6,4]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[7,1]
[1,8,7,3,5,4,6,2]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>[6,1,1]
[8,2,5,4,7,1,6,3]=>[1,6,2,5,3,4,7,8]=>[1,6,5,3,2,4,7,8]=>[5,1,1,1]
[8,7,6,1,2,4,3,5]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[7,1]
[8,7,6,1,4,2,3,5]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[7,1]
[8,7,6,4,1,3,2,5]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[6,2]
[8,5,7,1,3,2,6,4]=>[1,3,2,6,4,5,7,8]=>[1,3,2,6,4,5,7,8]=>[6,2]
[8,1,2,6,5,7,4,3]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>[7,1]
[4,8,5,7,2,1,6,3]=>[1,6,2,3,4,8,5,7]=>[1,6,2,3,8,4,5,7]=>[6,2]
[8,7,6,3,1,4,2,5]=>[1,4,2,5,3,6,7,8]=>[1,4,5,2,3,6,7,8]=>[6,2]
[1,8,7,4,3,5,6,2]=>[1,8,2,3,5,6,4,7]=>[1,8,2,6,3,5,4,7]=>[5,1,1,1]
[1,8,7,3,4,5,6,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[8,3,1,5,2,7,6,4]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>[5,2,1]
[6,5,4,2,3,1,8,7]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[6,3,2,5,1,4,8,7]=>[1,4,8,2,5,3,6,7]=>[1,8,5,4,2,3,6,7]=>[5,1,1,1]
[8,5,4,1,2,7,6,3]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>[7,1]
[8,7,4,1,6,3,2,5]=>[1,6,2,5,3,4,7,8]=>[1,6,5,3,2,4,7,8]=>[5,1,1,1]
[8,7,4,1,6,5,3,2]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[7,1]
[8,3,2,5,1,7,6,4]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>[5,1,1,1]
[8,3,2,5,1,7,4,6]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>[5,1,1,1]
[8,7,4,1,6,5,2,3]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[7,1]
[2,1,8,7,6,4,5,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[8,3,2,7,6,4,5,1]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>[7,1]
[8,5,4,2,3,7,6,1]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>[7,1]
[8,7,4,2,6,5,3,1]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>[7,1]
[8,3,1,7,6,4,2,5]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>[5,1,1,1]
[8,3,1,5,4,7,6,2]=>[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>[6,2]
[8,3,1,7,6,2,5,4]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>[5,1,1,1]
[8,3,2,5,4,7,1,6]=>[1,6,2,5,3,4,7,8]=>[1,6,5,3,2,4,7,8]=>[5,1,1,1]
[8,7,6,5,3,1,4,2]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[7,1]
[8,3,2,7,6,1,5,4]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>[5,2,1]
[8,7,6,5,1,2,4,3]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[7,1]
[5,2,3,1,6,4,8,7]=>[1,6,2,3,4,8,5,7]=>[1,6,2,3,8,4,5,7]=>[6,2]
[7,4,5,2,3,1,8,6]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[7,3,5,2,4,1,8,6]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[6,1,1]
[6,3,5,2,4,1,8,7]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[6,1,1]
[4,1,6,3,5,2,8,7]=>[1,6,2,8,3,5,4,7]=>[1,6,8,5,3,2,4,7]=>[4,2,1,1]
[6,3,4,1,5,2,8,7]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[5,2,1]
[5,2,7,3,4,1,8,6]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[5,1,1,1]
[6,2,7,3,4,1,8,5]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[5,1,1,1]
[7,3,4,1,5,2,8,6]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[5,2,1]
[2,1,7,4,5,3,8,6]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[5,2,1]
[3,1,8,6,7,4,5,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[4,1,8,6,7,3,5,2]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>[6,1,1]
[8,5,7,3,4,1,6,2]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[7,1]
[8,5,6,2,7,3,4,1]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>[7,1]
[6,2,8,4,7,3,5,1]=>[1,2,8,3,5,4,7,6]=>[1,2,8,5,3,7,4,6]=>[5,2,1]
[7,3,6,2,5,1,8,4]=>[1,8,2,5,3,6,4,7]=>[1,8,5,6,2,3,4,7]=>[5,2,1]
[5,2,4,1,7,3,8,6]=>[1,7,2,4,3,8,5,6]=>[1,7,4,2,8,5,3,6]=>[4,2,2]
[6,2,4,1,7,3,8,5]=>[1,7,2,4,3,8,5,6]=>[1,7,4,2,8,5,3,6]=>[4,2,2]
[3,1,4,2,8,6,7,5]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>[6,2]
[7,3,8,5,6,2,4,1]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,8,5,6,7]=>[6,2]
[5,2,4,1,8,6,7,3]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[6,1,1]
[4,1,5,2,8,6,7,3]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[5,2,1]
[3,1,6,2,8,5,7,4]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[5,2,1]
[5,1,6,2,8,4,7,3]=>[1,6,2,8,3,4,7,5]=>[1,6,8,3,7,2,4,5]=>[4,2,2]
[8,4,6,2,5,1,7,3]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>[5,1,1,1]
[7,3,8,4,6,2,5,1]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>[6,2]
[6,2,7,3,8,4,5,1]=>[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]=>[5,2,1]
[4,1,8,5,6,2,7,3]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[5,1,1,1]
[3,1,8,5,6,2,7,4]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[5,1,1,1]
[5,4,8,7,2,6,3,1]=>[1,2,6,3,4,8,5,7]=>[1,2,6,3,8,4,5,7]=>[6,2]
[5,3,8,7,6,1,2,4]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,8,5,6,7]=>[6,2]
[3,4,8,7,6,1,2,5]=>[1,2,5,3,4,8,6,7]=>[1,2,5,3,4,8,6,7]=>[6,2]
[3,5,8,7,6,1,2,4]=>[1,2,4,3,5,8,6,7]=>[1,2,4,3,5,8,6,7]=>[6,2]
[4,5,8,7,6,1,2,3]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>[7,1]
[4,5,8,7,1,6,3,2]=>[1,6,2,3,4,5,8,7]=>[1,6,2,3,4,5,8,7]=>[6,2]
[3,5,8,2,7,6,4,1]=>[1,2,7,3,5,8,4,6]=>[1,2,7,8,3,4,5,6]=>[6,2]
[3,5,8,1,7,6,4,2]=>[1,7,2,3,5,8,4,6]=>[1,7,2,8,3,4,5,6]=>[6,2]
[2,4,8,7,1,6,3,5]=>[1,6,2,4,8,3,5,7]=>[1,6,8,2,3,4,5,7]=>[6,2]
[2,8,4,7,1,5,3,6]=>[1,5,2,8,3,6,4,7]=>[1,5,8,6,2,3,4,7]=>[5,2,1]
[1,5,8,2,7,6,4,3]=>[1,5,8,2,7,3,4,6]=>[1,8,7,3,5,4,2,6]=>[4,1,1,1,1]
[2,5,8,3,7,6,4,1]=>[1,2,5,8,3,7,4,6]=>[1,2,8,7,5,4,3,6]=>[4,1,1,1,1]
[1,4,2,8,7,6,5,3]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>[6,2]
[1,8,3,2,7,5,4,6]=>[1,8,2,7,3,4,6,5]=>[1,8,7,3,6,4,2,5]=>[4,1,1,1,1]
[2,3,8,1,7,6,4,5]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[5,2,1]
[5,2,8,7,1,6,3,4]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[5,2,1]
[5,2,8,1,7,6,4,3]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[5,2,1]
[5,3,8,2,7,6,4,1]=>[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]=>[5,2,1]
[6,8,3,2,7,5,4,1]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>[7,1]
[6,8,1,2,7,5,4,3]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>[7,1]
[6,8,2,3,7,5,4,1]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>[7,1]
[5,2,8,3,7,6,4,1]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>[5,1,1,1]
[5,1,8,7,2,6,3,4]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[5,1,1,1]
[3,1,2,8,7,6,5,4]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[7,1]
[4,1,3,8,7,6,5,2]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>[6,1,1]
[3,1,4,8,7,6,5,2]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>[6,1,1]
[8,2,1,3,6,5,4,7]=>[1,3,6,2,4,7,5,8]=>[1,6,3,2,7,4,5,8]=>[5,2,1]
[1,8,2,3,7,5,4,6]=>[1,8,2,3,7,4,6,5]=>[1,8,2,7,6,4,3,5]=>[4,1,1,1,1]
[1,2,8,3,7,6,4,5]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>[5,1,1,1]
[1,4,3,6,8,2,5,7]=>[1,4,2,5,7,3,6,8]=>[1,4,7,2,5,3,6,8]=>[5,2,1]
[1,4,2,6,5,8,3,7]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>[5,3]
[1,5,4,2,6,8,3,7]=>[1,5,2,6,8,3,7,4]=>[1,5,8,7,2,6,3,4]=>[4,2,1,1]
[1,5,2,6,4,8,3,7]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[5,3]
[1,2,5,4,7,3,8,6]=>[1,2,5,3,8,4,7,6]=>[1,2,5,8,3,7,4,6]=>[5,2,1]
[4,1,2,6,3,8,7,5]=>[1,2,6,3,8,4,5,7]=>[1,2,6,8,4,3,5,7]=>[5,2,1]
[7,1,5,4,2,8,3,6]=>[1,5,2,8,3,6,4,7]=>[1,5,8,6,2,3,4,7]=>[5,2,1]
[1,4,7,5,2,8,3,6]=>[1,4,7,2,8,3,6,5]=>[1,7,8,4,6,3,2,5]=>[3,2,2,1]
[7,1,3,5,2,8,4,6]=>[1,3,5,2,8,4,6,7]=>[1,5,3,8,2,4,6,7]=>[5,2,1]
[1,4,5,2,8,7,3,6]=>[1,4,5,2,8,3,6,7]=>[1,5,8,4,2,3,6,7]=>[5,2,1]
[1,6,4,2,8,3,7,5]=>[1,6,2,8,3,7,4,5]=>[1,6,8,7,4,2,3,5]=>[4,2,1,1]
[1,2,8,6,5,3,7,4]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>[5,1,1,1]
[6,2,1,8,7,3,4,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[7,6,2,1,8,3,4,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[7,3,1,6,2,8,4,5]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[5,2,1]
[1,7,5,2,6,3,8,4]=>[1,7,2,6,3,8,4,5]=>[1,7,6,8,4,2,3,5]=>[4,2,1,1]
[1,6,2,7,5,3,8,4]=>[1,6,2,7,3,8,4,5]=>[1,6,7,8,4,2,3,5]=>[4,3,1]
[1,2,7,6,5,3,8,4]=>[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]=>[5,2,1]
[1,2,6,5,3,8,7,4]=>[1,2,6,3,8,4,5,7]=>[1,2,6,8,4,3,5,7]=>[5,2,1]
[1,5,2,7,6,3,8,4]=>[1,5,2,7,3,8,4,6]=>[1,5,7,8,2,4,3,6]=>[4,3,1]
[1,6,5,2,7,3,8,4]=>[1,6,2,7,3,8,4,5]=>[1,6,7,8,4,2,3,5]=>[4,3,1]
[4,3,7,1,8,2,5,6]=>[1,8,2,5,6,3,7,4]=>[1,8,6,7,2,5,3,4]=>[4,2,1,1]
[7,1,8,3,2,4,6,5]=>[1,8,2,4,6,3,5,7]=>[1,8,6,2,3,4,5,7]=>[6,1,1]
[1,4,2,8,7,3,6,5]=>[1,4,2,8,3,6,5,7]=>[1,4,8,2,6,3,5,7]=>[5,2,1]
[8,1,5,4,2,7,3,6]=>[1,5,2,7,3,6,4,8]=>[1,5,7,6,2,3,4,8]=>[5,2,1]
[1,5,2,7,3,8,6,4]=>[1,5,2,7,3,8,4,6]=>[1,5,7,8,2,4,3,6]=>[4,3,1]
[1,2,8,5,3,7,6,4]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>[5,1,1,1]
[1,2,6,3,8,7,5,4]=>[1,2,6,3,8,4,5,7]=>[1,2,6,8,4,3,5,7]=>[5,2,1]
[1,2,7,6,3,8,5,4]=>[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]=>[5,2,1]
[1,6,2,7,3,8,5,4]=>[1,6,2,7,3,8,4,5]=>[1,6,7,8,4,2,3,5]=>[4,3,1]
[7,1,8,3,2,6,4,5]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[5,1,1,1]
[7,2,1,8,6,3,4,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[1,8,7,3,2,6,4,5]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[5,1,1,1]
[1,4,2,8,7,6,3,5]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>[6,2]
[5,1,8,7,6,2,4,3]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[6,1,1]
[6,4,1,5,2,7,3,8]=>[1,5,2,7,3,8,4,6]=>[1,5,7,8,2,4,3,6]=>[4,3,1]
[8,1,4,5,3,7,6,2]=>[1,4,5,2,3,7,6,8]=>[1,5,2,4,3,7,6,8]=>[5,2,1]
[6,1,4,5,3,8,7,2]=>[1,4,5,2,3,8,6,7]=>[1,5,2,4,3,8,6,7]=>[5,2,1]
[7,1,4,5,3,8,6,2]=>[1,4,5,2,3,8,6,7]=>[1,5,2,4,3,8,6,7]=>[5,2,1]
[7,4,1,5,2,6,3,8]=>[1,5,2,6,3,8,4,7]=>[1,5,6,8,2,3,4,7]=>[5,3]
[6,3,5,8,2,1,7,4]=>[1,7,2,3,5,8,4,6]=>[1,7,2,8,3,4,5,6]=>[6,2]
[6,3,5,7,2,1,8,4]=>[1,8,2,3,5,7,4,6]=>[1,8,2,7,3,4,5,6]=>[6,1,1]
[8,4,5,7,3,6,1,2]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>[7,1]
[6,4,5,8,3,7,2,1]=>[1,2,3,7,4,5,8,6]=>[1,2,3,7,4,8,5,6]=>[6,2]
[8,4,1,5,2,6,3,7]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[5,3]
[2,3,8,6,1,5,7,4]=>[1,5,7,2,3,8,4,6]=>[1,7,2,8,5,4,3,6]=>[4,2,1,1]
[2,8,6,7,1,3,5,4]=>[1,3,5,2,8,4,6,7]=>[1,5,3,8,2,4,6,7]=>[5,2,1]
[7,3,5,6,2,8,1,4]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>[6,2]
[7,3,5,8,2,1,6,4]=>[1,6,2,3,5,8,4,7]=>[1,6,2,8,3,5,4,7]=>[5,2,1]
[7,3,5,6,2,1,4,8]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>[6,1,1]
[8,7,5,6,1,4,2,3]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[7,1]
[2,7,1,3,6,5,8,4]=>[1,3,6,2,7,4,5,8]=>[1,6,3,7,4,2,5,8]=>[5,2,1]
[2,7,6,1,8,3,4,5]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[5,1,1,1]
[7,3,5,1,2,8,4,6]=>[1,2,8,3,5,4,6,7]=>[1,2,8,5,3,4,6,7]=>[6,1,1]
[2,3,8,6,4,1,7,5]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[5,2,1]
[2,8,6,1,7,3,4,5]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[5,2,1]
[2,3,8,1,6,4,7,5]=>[1,6,2,3,8,4,7,5]=>[1,6,2,8,7,3,4,5]=>[5,2,1]
[2,3,8,1,4,5,7,6]=>[1,4,5,7,2,3,8,6]=>[1,7,2,4,5,8,3,6]=>[5,2,1]
[5,7,2,3,8,6,1,4]=>[1,4,2,3,8,5,7,6]=>[1,4,2,3,8,7,5,6]=>[5,2,1]
[5,6,2,3,1,8,7,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[5,6,2,1,3,8,7,4]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>[6,1,1]
[5,1,6,4,2,8,7,3]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[5,2,1]
[5,6,1,3,2,8,7,4]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[6,2]
[5,6,3,1,2,8,7,4]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[7,1]
[5,7,3,2,8,1,6,4]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[5,2,1]
[6,7,3,8,2,1,5,4]=>[1,5,2,3,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>[6,2]
[6,7,3,8,1,2,5,4]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>[6,2]
[5,7,3,1,8,2,6,4]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[5,1,1,1]
[6,7,8,3,1,4,2,5]=>[1,4,2,5,3,6,7,8]=>[1,4,5,2,3,6,7,8]=>[6,2]
[6,7,1,8,3,5,2,4]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[6,1,1]
[6,1,7,8,4,5,2,3]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[6,1,1]
[1,6,7,8,4,5,3,2]=>[1,6,7,8,2,3,4,5]=>[1,8,2,3,4,6,7,5]=>[6,1,1]
[1,6,7,8,4,3,5,2]=>[1,6,7,8,2,3,5,4]=>[1,8,2,5,3,6,7,4]=>[5,2,1]
[6,1,7,8,4,2,5,3]=>[1,7,8,2,5,3,4,6]=>[1,8,5,3,2,4,7,6]=>[4,2,1,1]
[6,7,2,8,1,3,5,4]=>[1,3,5,2,8,4,6,7]=>[1,5,3,8,2,4,6,7]=>[5,2,1]
[6,7,2,8,3,5,1,4]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>[6,2]
[6,2,7,8,4,1,5,3]=>[1,5,2,7,8,3,4,6]=>[1,5,8,3,2,4,7,6]=>[4,2,2]
[4,2,1,7,8,5,6,3]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[6,1,1]
[4,1,2,7,8,6,5,3]=>[1,2,7,8,3,4,5,6]=>[1,2,8,3,4,5,7,6]=>[6,1,1]
[6,2,7,8,1,5,4,3]=>[1,5,2,7,8,3,4,6]=>[1,5,8,3,2,4,7,6]=>[4,2,2]
[6,2,7,8,5,1,4,3]=>[1,4,2,7,8,3,5,6]=>[1,4,8,2,3,5,7,6]=>[5,2,1]
[1,6,7,8,3,5,4,2]=>[1,6,7,8,2,3,5,4]=>[1,8,2,5,3,6,7,4]=>[5,2,1]
[6,1,7,8,2,5,4,3]=>[1,7,8,2,5,3,4,6]=>[1,8,5,3,2,4,7,6]=>[4,2,1,1]
[6,7,8,2,4,1,3,5]=>[1,3,5,2,4,6,7,8]=>[1,5,3,2,4,6,7,8]=>[6,1,1]
[6,7,8,2,4,3,1,5]=>[1,5,2,4,3,6,7,8]=>[1,5,4,2,3,6,7,8]=>[6,1,1]
[6,7,1,8,5,2,3,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[6,1,7,8,5,2,4,3]=>[1,7,8,2,4,3,5,6]=>[1,8,4,2,3,5,7,6]=>[5,2,1]
[1,6,7,8,5,3,4,2]=>[1,6,7,8,2,3,4,5]=>[1,8,2,3,4,6,7,5]=>[6,1,1]
[6,1,7,8,5,4,2,3]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[6,1,1]
[6,7,1,8,5,3,2,4]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[6,1,1]
[6,7,8,4,1,3,2,5]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[6,2]
[3,7,1,8,5,6,2,4]=>[1,8,2,4,3,7,5,6]=>[1,8,4,2,7,5,3,6]=>[4,2,1,1]
[2,7,3,8,4,6,1,5]=>[1,5,2,7,3,8,4,6]=>[1,5,7,8,2,4,3,6]=>[4,3,1]
[1,5,2,8,6,7,3,4]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[5,2,1]
[2,6,1,8,5,7,3,4]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[5,1,1,1]
[1,6,2,8,5,7,3,4]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[5,2,1]
[1,6,2,8,4,7,3,5]=>[1,6,2,8,3,5,4,7]=>[1,6,8,5,3,2,4,7]=>[4,2,1,1]
[3,7,2,6,1,8,4,5]=>[1,8,2,6,3,7,4,5]=>[1,8,6,7,4,2,3,5]=>[4,2,1,1]
[8,6,1,4,3,2,5,7]=>[1,4,2,5,7,3,6,8]=>[1,4,7,2,5,3,6,8]=>[5,2,1]
[4,1,5,2,8,7,3,6]=>[1,5,2,8,3,6,4,7]=>[1,5,8,6,2,3,4,7]=>[5,2,1]
[8,1,2,4,6,5,3,7]=>[1,2,4,6,3,7,5,8]=>[1,2,6,4,7,3,5,8]=>[5,2,1]
[8,3,1,6,2,5,4,7]=>[1,6,2,5,3,4,7,8]=>[1,6,5,3,2,4,7,8]=>[5,1,1,1]
[1,4,7,6,2,8,3,5]=>[1,4,7,2,8,3,5,6]=>[1,7,8,4,3,5,2,6]=>[4,2,1,1]
[5,1,4,7,2,8,3,6]=>[1,4,7,2,8,3,6,5]=>[1,7,8,4,6,3,2,5]=>[3,2,2,1]
[1,4,2,8,6,7,3,5]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>[6,2]
[3,1,2,6,4,8,7,5]=>[1,2,6,3,4,8,5,7]=>[1,2,6,3,8,4,5,7]=>[6,2]
[1,2,3,6,8,5,7,4]=>[1,2,3,6,8,4,5,7]=>[1,2,3,8,4,6,5,7]=>[6,1,1]
[2,1,8,6,3,4,7,5]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[5,1,1,1]
[1,2,3,7,8,5,6,4]=>[1,2,3,7,8,4,5,6]=>[1,2,3,8,4,5,7,6]=>[6,1,1]
[1,2,3,7,5,8,6,4]=>[1,2,3,7,4,5,8,6]=>[1,2,3,7,4,8,5,6]=>[6,2]
[3,1,7,2,8,6,4,5]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[5,2,1]
[1,2,3,8,7,5,6,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[7,1]
[5,7,8,4,2,6,1,3]=>[1,3,2,6,4,5,7,8]=>[1,3,2,6,4,5,7,8]=>[6,2]
[6,7,8,4,2,5,1,3]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[6,2]
[6,7,8,3,2,1,5,4]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>[7,1]
[5,7,8,3,2,1,6,4]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[7,1]
[2,7,8,4,3,5,6,1]=>[1,2,7,8,3,5,6,4]=>[1,2,8,6,3,5,7,4]=>[5,1,1,1]
[7,6,3,8,2,1,4,5]=>[1,4,5,2,3,8,6,7]=>[1,5,2,4,3,8,6,7]=>[5,2,1]
[8,6,3,7,2,1,4,5]=>[1,4,5,2,3,7,6,8]=>[1,5,2,4,3,7,6,8]=>[5,2,1]
[8,4,3,2,1,6,5,7]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[7,1]
[7,4,3,2,1,8,5,6]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[7,4,3,2,1,8,6,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[5,6,3,8,2,1,7,4]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[5,2,1]
[7,5,3,2,8,1,6,4]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[5,2,1]
[8,5,4,2,7,6,1,3]=>[1,3,2,7,4,5,6,8]=>[1,3,2,7,4,5,6,8]=>[6,2]
[7,5,4,2,8,6,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[6,2]
[8,5,4,2,6,7,1,3]=>[1,3,2,6,7,4,5,8]=>[1,3,2,7,4,6,5,8]=>[5,2,1]
[4,6,3,7,2,1,8,5]=>[1,8,2,3,7,4,6,5]=>[1,8,2,7,6,4,3,5]=>[4,1,1,1,1]
[3,6,4,7,2,8,1,5]=>[1,5,2,8,3,6,4,7]=>[1,5,8,6,2,3,4,7]=>[5,2,1]
[7,4,3,2,1,5,8,6]=>[1,5,8,2,3,4,6,7]=>[1,8,2,3,5,4,6,7]=>[6,1,1]
[6,4,3,2,1,5,8,7]=>[1,5,8,2,3,4,6,7]=>[1,8,2,3,5,4,6,7]=>[6,1,1]
[4,2,1,5,7,3,6,8]=>[1,5,7,2,3,6,8,4]=>[1,7,2,8,5,3,6,4]=>[4,2,2]
[4,6,7,1,3,2,5,8]=>[1,3,2,5,8,4,6,7]=>[1,3,2,8,5,4,6,7]=>[5,2,1]
[5,2,1,4,3,7,8,6]=>[1,4,2,3,7,8,5,6]=>[1,4,2,3,8,5,7,6]=>[5,2,1]
[6,3,4,1,2,7,5,8]=>[1,2,7,3,4,5,8,6]=>[1,2,7,3,4,8,5,6]=>[6,2]
[3,6,4,1,2,7,5,8]=>[1,2,7,3,6,4,5,8]=>[1,2,7,6,4,3,5,8]=>[5,1,1,1]
[4,6,7,2,3,1,5,8]=>[1,5,8,2,3,4,6,7]=>[1,8,2,3,5,4,6,7]=>[6,1,1]
[4,6,2,1,7,3,5,8]=>[1,7,2,3,5,8,4,6]=>[1,7,2,8,3,4,5,6]=>[6,2]
[7,2,1,4,6,3,8,5]=>[1,4,6,2,3,8,5,7]=>[1,6,2,4,8,3,5,7]=>[5,2,1]
[7,4,1,5,6,2,3,8]=>[1,5,6,2,3,8,4,7]=>[1,6,2,8,5,3,4,7]=>[5,2,1]
[6,3,5,1,2,7,4,8]=>[1,2,7,3,5,4,8,6]=>[1,2,7,5,3,8,4,6]=>[5,2,1]
[6,4,5,1,7,2,3,8]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[5,2,1]
[2,4,1,5,3,8,7,6]=>[1,5,2,4,3,8,6,7]=>[1,5,4,2,3,8,6,7]=>[5,2,1]
[3,4,5,1,2,8,7,6]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[7,1]
[1,8,4,5,3,2,7,6]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[5,1,1,1]
[3,4,5,2,8,1,7,6]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[5,2,1]
[3,4,6,2,8,7,1,5]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[5,2,1]
[3,4,6,8,2,7,1,5]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>[5,2,1]
[2,4,8,6,3,7,1,5]=>[1,5,2,4,8,3,7,6]=>[1,5,8,2,4,7,3,6]=>[4,2,2]
[1,8,4,6,3,7,5,2]=>[1,8,2,3,7,4,6,5]=>[1,8,2,7,6,4,3,5]=>[4,1,1,1,1]
[3,5,6,2,7,8,4,1]=>[1,2,7,8,3,5,6,4]=>[1,2,8,6,3,5,7,4]=>[5,1,1,1]
[4,5,6,7,2,8,3,1]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[7,1]
[2,5,8,6,7,3,4,1]=>[1,2,5,8,3,4,6,7]=>[1,2,8,3,5,4,6,7]=>[6,1,1]
[1,8,5,6,7,3,2,4]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[6,1,1]
[4,5,6,7,2,1,8,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[3,4,6,1,8,7,2,5]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[5,1,1,1]
[2,4,1,6,8,7,3,5]=>[1,6,8,2,4,3,5,7]=>[1,8,4,2,3,6,5,7]=>[5,2,1]
[2,5,1,6,7,8,4,3]=>[1,6,7,8,2,5,3,4]=>[1,8,5,3,2,6,7,4]=>[4,2,1,1]
[1,8,4,6,2,7,5,3]=>[1,8,2,7,3,4,6,5]=>[1,8,7,3,6,4,2,5]=>[4,1,1,1,1]
[1,8,5,6,7,2,4,3]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[6,1,1]
[4,5,6,7,1,3,8,2]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>[6,1,1]
[3,5,6,8,7,4,1,2]=>[1,2,3,5,6,8,4,7]=>[1,2,3,8,5,6,4,7]=>[6,1,1]
[2,5,8,6,7,4,1,3]=>[1,3,2,5,8,4,6,7]=>[1,3,2,8,5,4,6,7]=>[5,2,1]
[1,8,5,6,7,4,2,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[1,8,5,6,7,4,3,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[2,5,8,6,7,4,3,1]=>[1,2,5,8,3,4,6,7]=>[1,2,8,3,5,4,6,7]=>[6,1,1]
[8,2,4,3,7,1,6,5]=>[1,6,2,4,3,7,5,8]=>[1,6,4,2,7,3,5,8]=>[5,2,1]
[5,8,2,4,3,7,1,6]=>[1,6,2,4,3,7,5,8]=>[1,6,4,2,7,3,5,8]=>[5,2,1]
[4,2,5,6,1,8,3,7]=>[1,8,2,5,6,3,7,4]=>[1,8,6,7,2,5,3,4]=>[4,2,1,1]
[6,1,5,7,3,2,4,8]=>[1,5,7,2,4,8,3,6]=>[1,7,8,2,5,3,4,6]=>[5,2,1]
[6,1,5,8,3,2,4,7]=>[1,5,8,2,4,7,3,6]=>[1,8,7,2,5,3,4,6]=>[5,1,1,1]
[3,6,8,2,4,7,1,5]=>[1,5,2,4,7,3,6,8]=>[1,5,7,2,4,3,6,8]=>[5,2,1]
[3,2,5,1,8,4,6,7]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[5,1,1,1]
[4,2,5,6,1,7,8,3]=>[1,7,8,2,5,6,3,4]=>[1,8,6,3,2,5,7,4]=>[4,2,1,1]
[6,1,5,8,7,3,2,4]=>[1,5,8,2,4,3,6,7]=>[1,8,4,2,5,3,6,7]=>[5,2,1]
[3,2,5,1,8,7,4,6]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[5,1,1,1]
[3,2,5,1,6,4,7,8]=>[1,6,2,5,3,4,7,8]=>[1,6,5,3,2,4,7,8]=>[5,1,1,1]
[3,2,4,1,8,7,5,6]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[6,1,1]
[3,8,6,5,1,7,4,2]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[5,2,1]
[6,5,1,7,8,4,2,3]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[6,1,1]
[3,2,5,1,6,7,8,4]=>[1,6,7,8,2,5,3,4]=>[1,8,5,3,2,6,7,4]=>[4,2,1,1]
[3,2,4,1,6,8,5,7]=>[1,6,8,2,4,3,5,7]=>[1,8,4,2,3,6,5,7]=>[5,2,1]
[8,3,2,4,7,6,1,5]=>[1,5,2,4,7,3,6,8]=>[1,5,7,2,4,3,6,8]=>[5,2,1]
[3,2,5,1,8,4,7,6]=>[1,8,2,5,3,4,7,6]=>[1,8,5,3,2,7,4,6]=>[4,2,1,1]
[6,5,1,7,4,2,3,8]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[5,2,1]
[5,2,6,1,8,3,7,4]=>[1,8,2,6,3,7,4,5]=>[1,8,6,7,4,2,3,5]=>[4,2,1,1]
[5,2,6,1,8,4,7,3]=>[1,8,2,6,3,4,7,5]=>[1,8,6,3,7,2,4,5]=>[4,2,1,1]
[7,4,2,3,8,5,1,6]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>[5,2,1]
[3,2,5,1,7,6,4,8]=>[1,7,2,5,3,4,8,6]=>[1,7,5,3,2,8,4,6]=>[4,2,1,1]
[3,2,5,1,8,6,4,7]=>[1,8,2,5,3,4,7,6]=>[1,8,5,3,2,7,4,6]=>[4,2,1,1]
[8,6,1,5,7,3,2,4]=>[1,5,7,2,4,3,6,8]=>[1,7,4,2,5,3,6,8]=>[5,2,1]
[3,2,5,1,8,6,7,4]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[5,1,1,1]
[3,2,4,1,5,8,6,7]=>[1,5,8,2,4,3,6,7]=>[1,8,4,2,5,3,6,7]=>[5,2,1]
[3,2,5,1,7,8,6,4]=>[1,7,8,2,5,3,4,6]=>[1,8,5,3,2,4,7,6]=>[4,2,1,1]
[8,7,5,1,6,4,2,3]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[7,1]
[3,2,5,1,8,7,6,4]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[5,1,1,1]
[4,6,3,7,1,8,5,2]=>[1,8,2,3,7,4,6,5]=>[1,8,2,7,6,4,3,5]=>[4,1,1,1,1]
[4,6,3,7,5,1,8,2]=>[1,8,2,3,7,4,6,5]=>[1,8,2,7,6,4,3,5]=>[4,1,1,1,1]
[4,2,6,1,7,5,3,8]=>[1,7,2,6,3,8,4,5]=>[1,7,6,8,4,2,3,5]=>[4,2,1,1]
[2,5,7,4,1,6,3,8]=>[1,6,2,5,7,3,8,4]=>[1,6,7,8,2,5,3,4]=>[4,3,1]
[6,4,3,8,5,1,7,2]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[5,2,1]
[2,5,4,6,1,7,3,8]=>[1,7,2,5,3,8,4,6]=>[1,7,5,8,2,4,3,6]=>[4,2,1,1]
[2,4,1,7,5,8,6,3]=>[1,7,2,4,3,5,8,6]=>[1,7,4,2,3,8,5,6]=>[5,2,1]
[2,4,1,7,5,3,8,6]=>[1,7,2,4,3,8,5,6]=>[1,7,4,2,8,5,3,6]=>[4,2,2]
[2,6,4,1,8,5,3,7]=>[1,8,2,6,3,7,4,5]=>[1,8,6,7,4,2,3,5]=>[4,2,1,1]
[3,5,2,8,1,6,4,7]=>[1,6,2,8,3,5,4,7]=>[1,6,8,5,3,2,4,7]=>[4,2,1,1]
[3,2,7,1,5,8,6,4]=>[1,5,8,2,7,3,4,6]=>[1,8,7,3,5,4,2,6]=>[4,1,1,1,1]
[4,8,3,2,6,7,1,5]=>[1,5,2,6,7,3,4,8]=>[1,5,7,3,2,6,4,8]=>[4,2,2]
[4,3,7,8,2,6,1,5]=>[1,5,2,6,3,7,8,4]=>[1,5,6,8,2,3,7,4]=>[4,3,1]
[6,3,2,7,1,5,8,4]=>[1,5,8,2,7,3,4,6]=>[1,8,7,3,5,4,2,6]=>[4,1,1,1,1]
[6,3,2,7,8,1,5,4]=>[1,5,2,7,8,3,4,6]=>[1,5,8,3,2,4,7,6]=>[4,2,2]
[6,5,2,1,7,8,4,3]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[6,1,1]
[4,6,2,1,8,3,7,5]=>[1,8,2,3,7,4,6,5]=>[1,8,2,7,6,4,3,5]=>[4,1,1,1,1]
[3,5,8,2,1,7,4,6]=>[1,7,2,3,5,8,4,6]=>[1,7,2,8,3,4,5,6]=>[6,2]
[4,3,7,2,8,1,5,6]=>[1,5,6,2,8,3,7,4]=>[1,6,8,7,5,2,3,4]=>[4,2,1,1]
[4,3,7,2,1,5,6,8]=>[1,5,6,8,2,3,7,4]=>[1,8,2,7,5,6,3,4]=>[4,2,1,1]
[6,3,2,8,1,4,7,5]=>[1,4,7,2,8,3,5,6]=>[1,7,8,4,3,5,2,6]=>[4,2,1,1]
[4,3,8,2,1,5,6,7]=>[1,5,6,7,2,3,8,4]=>[1,7,2,8,5,6,3,4]=>[4,2,2]
[6,2,3,1,5,4,8,7]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>[6,2]
[8,2,5,3,4,1,7,6]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>[5,1,1,1]
[6,2,5,3,4,1,8,7]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[5,1,1,1]
[6,4,5,1,3,2,8,7]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[6,2]
[6,1,5,3,4,2,8,7]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[5,2,1]
[8,3,7,2,4,1,6,5]=>[1,6,2,4,3,7,5,8]=>[1,6,4,2,7,3,5,8]=>[5,2,1]
[8,4,5,1,3,2,7,6]=>[1,3,2,7,4,5,6,8]=>[1,3,2,7,4,5,6,8]=>[6,2]
[8,2,3,1,5,4,7,6]=>[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>[6,2]
[8,6,7,1,3,2,5,4]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[6,2]
[8,1,3,2,7,5,6,4]=>[1,3,2,7,4,5,6,8]=>[1,3,2,7,4,5,6,8]=>[6,2]
[4,5,8,6,3,2,7,1]=>[1,2,7,3,4,5,8,6]=>[1,2,7,3,4,8,5,6]=>[6,2]
[1,5,8,7,3,6,2,4]=>[1,5,8,2,4,3,6,7]=>[1,8,4,2,5,3,6,7]=>[5,2,1]
[6,7,2,8,4,1,5,3]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[5,2,1]
[2,6,1,8,4,5,7,3]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[5,1,1,1]
[2,8,4,6,1,5,7,3]=>[1,5,7,2,8,3,4,6]=>[1,7,8,3,5,4,2,6]=>[4,2,1,1]
[2,3,6,8,4,5,7,1]=>[1,2,3,6,8,4,5,7]=>[1,2,3,8,4,6,5,7]=>[6,1,1]
[6,3,7,8,4,1,5,2]=>[1,5,2,3,7,8,4,6]=>[1,5,2,8,3,4,7,6]=>[5,2,1]
[3,6,7,8,4,2,5,1]=>[1,2,5,3,6,7,8,4]=>[1,2,5,8,3,6,7,4]=>[5,2,1]
[7,6,1,8,4,2,5,3]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[5,1,1,1]
[2,8,3,7,1,6,5,4]=>[1,6,2,8,3,7,4,5]=>[1,6,8,7,4,2,3,5]=>[4,2,1,1]
[5,2,8,7,3,6,1,4]=>[1,4,2,8,3,6,5,7]=>[1,4,8,2,6,3,5,7]=>[5,2,1]
[3,2,7,8,4,6,5,1]=>[1,2,7,8,3,4,6,5]=>[1,2,8,3,6,4,7,5]=>[5,2,1]
[1,2,7,8,5,4,6,3]=>[1,2,7,8,3,4,6,5]=>[1,2,8,3,6,4,7,5]=>[5,2,1]
[7,2,5,8,3,4,6,1]=>[1,2,5,8,3,4,6,7]=>[1,2,8,3,5,4,6,7]=>[6,1,1]
[6,2,8,5,4,3,1,7]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[5,2,1]
[4,3,1,2,8,5,6,7]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[7,1]
[5,6,8,4,1,3,2,7]=>[1,3,2,7,4,5,6,8]=>[1,3,2,7,4,5,6,8]=>[6,2]
[4,6,8,1,5,3,2,7]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>[5,2,1]
[3,7,1,8,5,4,6,2]=>[1,8,2,3,7,4,6,5]=>[1,8,2,7,6,4,3,5]=>[4,1,1,1,1]
[2,8,7,4,1,6,5,3]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[5,2,1]
[1,4,3,2,8,5,6,7]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>[6,2]
[6,4,8,2,5,3,1,7]=>[1,7,2,5,3,4,8,6]=>[1,7,5,3,2,8,4,6]=>[4,2,1,1]
[6,2,8,4,5,3,1,7]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[5,2,1]
[7,2,3,8,5,4,6,1]=>[1,2,3,8,4,6,5,7]=>[1,2,3,8,6,4,5,7]=>[6,1,1]
[4,2,3,1,8,5,6,7]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[5,1,3,2,4,8,6,7]=>[1,3,2,4,8,5,6,7]=>[1,3,2,4,8,5,6,7]=>[6,2]
[2,8,1,5,3,4,7,6]=>[1,5,2,8,3,4,7,6]=>[1,5,8,3,2,7,4,6]=>[4,2,2]
[1,2,5,4,3,8,6,7]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>[6,2]
[1,2,4,8,5,3,7,6]=>[1,2,4,8,3,7,5,6]=>[1,2,8,4,7,5,3,6]=>[5,1,1,1]
[7,6,1,4,2,8,3,5]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>[6,2]
[7,1,6,2,8,4,3,5]=>[1,6,2,8,3,5,4,7]=>[1,6,8,5,3,2,4,7]=>[4,2,1,1]
[6,1,2,8,4,3,7,5]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>[5,1,1,1]
[6,4,1,2,8,3,7,5]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>[5,1,1,1]
[7,6,1,3,2,4,8,5]=>[1,3,2,4,8,5,6,7]=>[1,3,2,4,8,5,6,7]=>[6,2]
[6,7,1,3,2,4,8,5]=>[1,3,2,4,8,5,6,7]=>[1,3,2,4,8,5,6,7]=>[6,2]
[1,2,7,3,5,8,4,6]=>[1,2,7,3,5,8,4,6]=>[1,2,7,8,3,4,5,6]=>[6,2]
[1,2,5,8,7,3,4,6]=>[1,2,5,8,3,4,6,7]=>[1,2,8,3,5,4,6,7]=>[6,1,1]
[7,1,2,8,6,4,3,5]=>[1,2,8,3,5,4,6,7]=>[1,2,8,5,3,4,6,7]=>[6,1,1]
[6,8,3,4,1,7,2,5]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>[5,1,1,1]
[5,7,3,4,1,8,2,6]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[5,1,1,1]
[4,7,3,5,1,6,2,8]=>[1,6,2,8,3,5,4,7]=>[1,6,8,5,3,2,4,7]=>[4,2,1,1]
[5,6,2,4,1,8,3,7]=>[1,8,2,4,3,7,5,6]=>[1,8,4,2,7,5,3,6]=>[4,2,1,1]
[5,6,2,4,1,7,3,8]=>[1,7,2,4,3,8,5,6]=>[1,7,4,2,8,5,3,6]=>[4,2,2]
[4,6,2,5,1,7,3,8]=>[1,7,2,5,3,8,4,6]=>[1,7,5,8,2,4,3,6]=>[4,2,1,1]
[4,5,1,8,3,7,2,6]=>[1,8,2,6,3,7,4,5]=>[1,8,6,7,4,2,3,5]=>[4,2,1,1]
[4,6,2,7,3,8,1,5]=>[1,5,2,7,3,8,4,6]=>[1,5,7,8,2,4,3,6]=>[4,3,1]
[6,5,3,2,1,4,8,7]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>[6,1,1]
[8,7,3,5,2,4,1,6]=>[1,6,2,4,3,5,7,8]=>[1,6,4,2,3,5,7,8]=>[6,1,1]
[3,6,1,4,5,2,8,7]=>[1,4,5,2,8,3,6,7]=>[1,5,8,4,2,3,6,7]=>[5,2,1]
[6,3,8,4,5,7,2,1]=>[1,2,3,8,4,5,7,6]=>[1,2,3,8,4,7,5,6]=>[6,1,1]
[6,8,3,5,1,7,4,2]=>[1,7,2,3,5,4,6,8]=>[1,7,2,5,3,4,6,8]=>[6,1,1]
[2,5,8,4,7,6,3,1]=>[1,2,5,8,3,4,7,6]=>[1,2,8,3,5,7,4,6]=>[5,2,1]
[4,3,8,1,5,6,7,2]=>[1,5,6,7,2,3,8,4]=>[1,7,2,8,5,6,3,4]=>[4,2,2]
[3,8,7,4,1,6,2,5]=>[1,6,2,5,3,8,4,7]=>[1,6,5,8,2,3,4,7]=>[5,2,1]
[2,8,7,4,5,1,3,6]=>[1,3,6,2,8,4,5,7]=>[1,6,3,8,4,2,5,7]=>[5,2,1]
[8,7,2,4,1,6,3,5]=>[1,6,2,4,3,5,7,8]=>[1,6,4,2,3,5,7,8]=>[6,1,1]
[8,6,3,2,1,4,7,5]=>[1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>[6,1,1]
[5,8,3,6,1,2,7,4]=>[1,2,7,3,6,4,5,8]=>[1,2,7,6,4,3,5,8]=>[5,1,1,1]
[4,5,3,8,6,1,7,2]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[5,2,1]
[4,5,7,6,2,3,8,1]=>[1,2,3,8,4,5,7,6]=>[1,2,3,8,4,7,5,6]=>[6,1,1]
[6,7,2,3,5,4,8,1]=>[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,8,6,7]=>[6,2]
[8,3,4,7,6,1,5,2]=>[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>[6,2]
[3,1,4,7,6,8,5,2]=>[1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>[6,1,1]
[6,7,1,3,5,8,4,2]=>[1,3,5,8,2,4,6,7]=>[1,8,3,2,5,4,6,7]=>[5,2,1]
[4,8,3,7,6,1,5,2]=>[1,5,2,3,7,4,8,6]=>[1,5,2,7,3,8,4,6]=>[5,3]
[2,8,4,7,1,6,5,3]=>[1,6,2,8,3,4,7,5]=>[1,6,8,3,7,2,4,5]=>[4,2,2]
[8,1,3,2,7,6,5,4]=>[1,3,2,7,4,5,6,8]=>[1,3,2,7,4,5,6,8]=>[6,2]
[2,8,3,1,7,6,5,4]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[5,2,1]
[6,7,1,2,8,5,4,3]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[7,1]
[1,4,2,7,8,6,5,3]=>[1,4,2,7,8,3,5,6]=>[1,4,8,2,3,5,7,6]=>[5,2,1]
[8,5,7,2,1,6,4,3]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[7,1]
[1,5,7,2,8,6,4,3]=>[1,5,7,2,8,3,4,6]=>[1,7,8,3,5,4,2,6]=>[4,2,1,1]
[2,5,7,1,8,6,4,3]=>[1,8,2,5,7,3,4,6]=>[1,8,7,3,2,4,5,6]=>[5,1,1,1]
[6,7,4,5,8,1,3,2]=>[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,8,6,7]=>[6,2]
[2,5,7,8,1,6,4,3]=>[1,6,2,5,7,8,3,4]=>[1,6,8,3,2,5,7,4]=>[4,2,2]
[1,5,7,8,2,6,4,3]=>[1,5,7,8,2,6,3,4]=>[1,8,6,3,5,2,7,4]=>[4,2,1,1]
[8,5,7,1,2,6,4,3]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>[7,1]
[6,7,2,8,1,5,4,3]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[5,2,1]
[4,2,8,7,1,6,5,3]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[5,2,1]
[8,3,1,2,7,6,5,4]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>[7,1]
[8,2,1,3,7,6,5,4]=>[1,3,7,2,4,5,6,8]=>[1,7,3,2,4,5,6,8]=>[6,1,1]
[6,7,1,8,2,5,4,3]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[5,1,1,1]
[3,8,1,2,7,6,5,4]=>[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]=>[5,2,1]
[3,7,1,5,8,2,6,4]=>[1,5,8,2,6,3,7,4]=>[1,8,6,7,5,2,3,4]=>[4,2,1,1]
[2,6,5,1,8,3,7,4]=>[1,8,2,6,3,7,4,5]=>[1,8,6,7,4,2,3,5]=>[4,2,1,1]
[5,6,4,1,8,7,2,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[8,1,4,5,7,6,2,3]=>[1,4,5,7,2,3,6,8]=>[1,7,2,4,5,3,6,8]=>[6,1,1]
[6,4,5,1,8,7,2,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[2,5,6,1,8,3,7,4]=>[1,8,2,5,6,3,7,4]=>[1,8,6,7,2,5,3,4]=>[4,2,1,1]
[7,2,1,5,8,3,6,4]=>[1,5,8,2,3,6,4,7]=>[1,8,2,6,5,3,4,7]=>[5,1,1,1]
[4,2,5,3,1,8,7,6]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[5,1,1,1]
[6,2,4,1,3,8,7,5]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>[6,1,1]
[7,2,1,4,3,8,6,5]=>[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>[6,2]
[7,3,1,4,2,8,6,5]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>[6,2]
[8,1,6,7,2,3,5,4]=>[1,6,7,2,3,5,4,8]=>[1,7,2,5,3,6,4,8]=>[5,2,1]
[4,7,1,2,3,8,6,5]=>[1,2,3,8,4,7,5,6]=>[1,2,3,8,7,5,4,6]=>[5,1,1,1]
[3,7,1,2,4,8,6,5]=>[1,2,4,8,3,7,5,6]=>[1,2,8,4,7,5,3,6]=>[5,1,1,1]
[7,4,1,2,3,8,6,5]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[7,1]
[5,4,2,3,1,8,7,6]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[3,5,2,4,1,8,7,6]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[6,1,1]
[7,3,1,2,4,8,6,5]=>[1,2,4,8,3,5,6,7]=>[1,2,8,4,3,5,6,7]=>[6,1,1]
[7,2,1,3,4,8,6,5]=>[1,3,4,8,2,5,6,7]=>[1,8,3,4,2,5,6,7]=>[6,1,1]
[2,4,3,6,1,5,8,7]=>[1,5,8,2,4,3,6,7]=>[1,8,4,2,5,3,6,7]=>[5,2,1]
[2,4,3,6,5,8,1,7]=>[1,7,2,4,3,6,5,8]=>[1,7,4,2,6,3,5,8]=>[5,2,1]
[2,4,6,3,5,1,8,7]=>[1,8,2,4,6,3,5,7]=>[1,8,6,2,3,4,5,7]=>[6,1,1]
[4,2,6,5,3,1,8,7]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[5,1,1,1]
[2,4,1,6,5,8,3,7]=>[1,6,2,4,3,7,5,8]=>[1,6,4,2,7,3,5,8]=>[5,2,1]
[4,2,6,5,3,8,7,1]=>[1,2,6,3,8,4,5,7]=>[1,2,6,8,4,3,5,7]=>[5,2,1]
[2,6,4,3,8,7,5,1]=>[1,2,6,3,8,4,5,7]=>[1,2,6,8,4,3,5,7]=>[5,2,1]
[2,4,1,6,8,5,7,3]=>[1,6,8,2,4,3,5,7]=>[1,8,4,2,3,6,5,7]=>[5,2,1]
[2,4,3,6,8,1,5,7]=>[1,5,7,2,4,3,6,8]=>[1,7,4,2,5,3,6,8]=>[5,2,1]
[2,4,3,6,1,8,5,7]=>[1,8,2,4,3,6,5,7]=>[1,8,4,2,6,3,5,7]=>[5,2,1]
[2,4,3,1,6,8,5,7]=>[1,6,8,2,4,3,5,7]=>[1,8,4,2,3,6,5,7]=>[5,2,1]
[4,6,2,5,8,7,1,3]=>[1,3,2,5,8,4,6,7]=>[1,3,2,8,5,4,6,7]=>[5,2,1]
[4,6,2,5,8,7,3,1]=>[1,2,5,8,3,4,6,7]=>[1,2,8,3,5,4,6,7]=>[6,1,1]
[2,4,6,3,1,8,7,5]=>[1,8,2,4,6,3,5,7]=>[1,8,6,2,3,4,5,7]=>[6,1,1]
[2,1,4,6,3,8,7,5]=>[1,4,6,2,3,8,5,7]=>[1,6,2,4,8,3,5,7]=>[5,2,1]
[2,4,1,6,8,3,7,5]=>[1,6,8,2,4,3,7,5]=>[1,8,4,2,7,6,3,5]=>[4,2,1,1]
[6,2,4,8,7,1,3,5]=>[1,3,5,2,4,8,6,7]=>[1,5,3,2,4,8,6,7]=>[5,2,1]
[2,6,4,1,8,7,5,3]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[5,1,1,1]
[6,2,4,8,7,3,5,1]=>[1,2,4,8,3,5,6,7]=>[1,2,8,4,3,5,6,7]=>[6,1,1]
[6,2,4,8,7,3,1,5]=>[1,5,2,4,8,3,6,7]=>[1,5,8,2,4,3,6,7]=>[5,2,1]
[1,7,6,3,4,8,2,5]=>[1,7,2,5,3,4,8,6]=>[1,7,5,3,2,8,4,6]=>[4,2,1,1]
[6,1,7,3,4,8,2,5]=>[1,7,2,5,3,4,8,6]=>[1,7,5,3,2,8,4,6]=>[4,2,1,1]
[5,1,4,7,3,8,2,6]=>[1,4,7,2,6,3,8,5]=>[1,7,6,4,8,2,3,5]=>[4,2,1,1]
[6,8,1,3,7,2,4,5]=>[1,3,7,2,4,5,6,8]=>[1,7,3,2,4,5,6,8]=>[6,1,1]
[6,7,1,3,8,2,4,5]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>[6,1,1]
[1,5,3,2,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[5,2,1]
[5,2,4,8,7,1,3,6]=>[1,3,6,2,4,8,5,7]=>[1,6,3,2,8,4,5,7]=>[5,2,1]
[3,7,2,1,5,4,8,6]=>[1,5,2,3,7,4,8,6]=>[1,5,2,7,3,8,4,6]=>[5,3]
[3,8,2,1,5,4,7,6]=>[1,5,2,3,8,4,7,6]=>[1,5,2,8,3,7,4,6]=>[5,2,1]
[8,3,2,1,5,4,6,7]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>[7,1]
[8,3,2,1,6,4,5,7]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[7,1]
[3,8,2,1,4,5,7,6]=>[1,4,5,7,2,3,8,6]=>[1,7,2,4,5,8,3,6]=>[5,2,1]
[3,8,2,1,5,7,4,6]=>[1,5,7,2,3,8,4,6]=>[1,7,2,8,5,4,3,6]=>[4,2,1,1]
[4,7,2,5,1,8,3,6]=>[1,8,2,5,3,6,4,7]=>[1,8,5,6,2,3,4,7]=>[5,2,1]
[4,3,8,6,7,1,2,5]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>[6,2]
[3,8,2,1,7,4,5,6]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[5,2,1]
[3,2,8,1,6,4,7,5]=>[1,6,2,8,3,4,7,5]=>[1,6,8,3,7,2,4,5]=>[4,2,2]
[4,2,8,6,1,3,7,5]=>[1,3,7,2,8,4,5,6]=>[1,7,3,8,4,5,2,6]=>[5,2,1]
[5,7,8,3,4,1,2,6]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>[7,1]
[3,2,6,1,8,4,7,5]=>[1,8,2,6,3,4,7,5]=>[1,8,6,3,7,2,4,5]=>[4,2,1,1]
[3,7,2,1,8,5,4,6]=>[1,8,2,3,7,4,6,5]=>[1,8,2,7,6,4,3,5]=>[4,1,1,1,1]
[3,2,7,1,8,6,4,5]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[5,1,1,1]
[3,2,6,1,8,7,4,5]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[5,1,1,1]
[1,2,7,5,4,8,6,3]=>[1,2,7,3,4,8,5,6]=>[1,2,7,3,8,5,4,6]=>[5,2,1]
[6,2,1,5,4,8,7,3]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>[6,2]
[4,1,6,2,8,7,5,3]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[5,2,1]
[7,5,1,6,4,3,2,8]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[5,2,1]
[6,1,5,7,4,3,2,8]=>[1,5,7,2,8,3,4,6]=>[1,7,8,3,5,4,2,6]=>[4,2,1,1]
[1,5,8,6,4,3,2,7]=>[1,5,8,2,7,3,4,6]=>[1,8,7,3,5,4,2,6]=>[4,1,1,1,1]
[7,8,5,1,6,3,2,4]=>[1,6,2,4,3,5,7,8]=>[1,6,4,2,3,5,7,8]=>[6,1,1]
[6,8,1,7,4,3,2,5]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>[5,1,1,1]
[5,6,1,7,4,3,2,8]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[5,2,1]
[5,1,7,6,4,3,2,8]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[5,2,1]
[6,1,7,8,4,3,2,5]=>[1,7,8,2,5,3,4,6]=>[1,8,5,3,2,4,7,6]=>[4,2,1,1]
[7,1,8,6,4,3,2,5]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[5,1,1,1]
[7,2,1,5,4,6,8,3]=>[1,5,2,3,4,6,8,7]=>[1,5,2,3,4,6,8,7]=>[6,2]
[1,2,8,5,6,3,7,4]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>[5,1,1,1]
[6,4,1,5,2,3,7,8]=>[1,5,2,3,7,8,4,6]=>[1,5,2,8,3,4,7,6]=>[5,2,1]
[4,1,7,5,2,3,8,6]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[5,2,1]
[5,1,8,7,4,3,2,6]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[5,1,1,1]
[6,5,1,8,4,3,2,7]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[5,1,1,1]
[1,5,7,8,4,3,2,6]=>[1,5,7,8,2,6,3,4]=>[1,8,6,3,5,2,7,4]=>[4,2,1,1]
[2,4,7,5,1,3,8,6]=>[1,3,8,2,4,7,5,6]=>[1,8,3,2,7,5,4,6]=>[4,2,1,1]
[7,8,4,6,1,3,2,5]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[6,2]
[4,2,8,5,1,3,7,6]=>[1,3,7,2,8,4,5,6]=>[1,7,3,8,4,5,2,6]=>[5,2,1]
[4,3,6,8,1,7,2,5]=>[1,7,2,5,3,6,8,4]=>[1,7,5,8,2,3,6,4]=>[4,2,2]
[1,6,7,4,8,3,5,2]=>[1,6,7,2,3,5,4,8]=>[1,7,2,5,3,6,4,8]=>[5,2,1]
[4,6,7,2,5,8,1,3]=>[1,3,2,5,8,4,6,7]=>[1,3,2,8,5,4,6,7]=>[5,2,1]
[2,7,5,4,1,6,3,8]=>[1,6,2,7,3,8,4,5]=>[1,6,7,8,4,2,3,5]=>[4,3,1]
[1,7,5,4,3,8,6,2]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[5,2,1]
[1,5,8,4,3,6,7,2]=>[1,5,8,2,3,6,7,4]=>[1,8,2,7,5,3,6,4]=>[4,2,1,1]
[5,6,3,2,7,1,8,4]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[5,1,1,1]
[5,6,3,2,1,8,4,7]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[5,1,1,1]
[5,3,8,2,1,6,4,7]=>[1,6,2,3,8,4,7,5]=>[1,6,2,8,7,3,4,5]=>[5,2,1]
[7,3,2,8,5,1,6,4]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[5,2,1]
[5,4,7,2,1,8,6,3]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[5,1,1,1]
[6,7,8,3,5,2,1,4]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[7,1]
[3,6,7,2,8,1,4,5]=>[1,4,5,2,8,3,6,7]=>[1,5,8,4,2,3,6,7]=>[5,2,1]
[8,3,5,2,1,4,7,6]=>[1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>[6,1,1]
[3,5,2,1,4,6,8,7]=>[1,4,6,8,2,3,5,7]=>[1,8,2,4,3,6,5,7]=>[5,2,1]
[2,7,6,5,1,8,3,4]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[5,1,1,1]
[2,7,6,5,1,8,4,3]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[5,1,1,1]
[2,3,6,4,1,5,8,7]=>[1,5,8,2,3,6,4,7]=>[1,8,2,6,5,3,4,7]=>[5,1,1,1]
[2,7,6,1,5,8,4,3]=>[1,5,8,2,7,3,4,6]=>[1,8,7,3,5,4,2,6]=>[4,1,1,1,1]
[2,7,6,4,1,8,5,3]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>[5,1,1,1]
[7,3,5,1,8,6,2,4]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[6,1,1]
[2,3,4,8,7,6,1,5]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>[6,2]
[2,3,4,8,5,7,1,6]=>[1,6,2,3,4,8,5,7]=>[1,6,2,3,8,4,5,7]=>[6,2]
[6,4,3,5,8,7,2,1]=>[1,2,3,5,8,4,6,7]=>[1,2,3,8,5,4,6,7]=>[6,1,1]
[6,4,3,5,8,7,1,2]=>[1,2,3,5,8,4,6,7]=>[1,2,3,8,5,4,6,7]=>[6,1,1]
[2,3,4,8,7,5,1,6]=>[1,6,2,3,4,8,5,7]=>[1,6,2,3,8,4,5,7]=>[6,2]
[2,7,6,5,4,8,1,3]=>[1,3,2,7,4,8,5,6]=>[1,3,2,7,8,5,4,6]=>[4,3,1]
[7,3,5,6,8,1,2,4]=>[1,2,4,3,5,6,8,7]=>[1,2,4,3,5,6,8,7]=>[6,2]
[6,4,1,5,8,7,2,3]=>[1,5,8,2,3,4,6,7]=>[1,8,2,3,5,4,6,7]=>[6,1,1]
[6,4,1,5,8,7,3,2]=>[1,5,8,2,3,4,6,7]=>[1,8,2,3,5,4,6,7]=>[6,1,1]
[6,4,1,5,8,3,2,7]=>[1,5,8,2,7,3,4,6]=>[1,8,7,3,5,4,2,6]=>[4,1,1,1,1]
[6,3,5,7,8,2,1,4]=>[1,4,2,3,5,7,8,6]=>[1,4,2,3,5,8,7,6]=>[5,2,1]
[7,3,5,4,8,6,2,1]=>[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,8,6,7]=>[6,2]
[2,3,4,8,7,1,6,5]=>[1,6,2,3,4,8,5,7]=>[1,6,2,3,8,4,5,7]=>[6,2]
[7,4,3,5,8,2,1,6]=>[1,6,2,3,5,8,4,7]=>[1,6,2,8,3,5,4,7]=>[5,2,1]
[6,3,5,4,8,2,1,7]=>[1,7,2,3,5,4,8,6]=>[1,7,2,5,3,8,4,6]=>[5,2,1]
[2,3,4,8,5,1,6,7]=>[1,6,7,2,3,4,8,5]=>[1,7,2,3,8,6,4,5]=>[5,2,1]
[4,8,6,5,3,2,7,1]=>[1,2,7,3,4,8,5,6]=>[1,2,7,3,8,5,4,6]=>[5,2,1]
[6,8,5,2,1,4,7,3]=>[1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>[6,1,1]
[5,2,8,6,1,7,3,4]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[5,2,1]
[7,2,6,5,4,1,8,3]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[5,1,1,1]
[6,1,3,5,4,7,8,2]=>[1,3,5,2,4,7,8,6]=>[1,5,3,2,4,8,7,6]=>[4,2,2]
[6,1,5,3,4,7,8,2]=>[1,5,2,3,4,7,8,6]=>[1,5,2,3,4,8,7,6]=>[5,2,1]
[7,5,6,2,4,1,8,3]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[6,1,1]
[8,5,2,6,3,7,1,4]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>[5,3]
[8,1,6,5,7,3,2,4]=>[1,6,2,4,3,5,7,8]=>[1,6,4,2,3,5,7,8]=>[6,1,1]
[1,8,5,6,3,7,2,4]=>[1,8,2,4,3,7,5,6]=>[1,8,4,2,7,5,3,6]=>[4,2,1,1]
[1,7,6,5,4,2,8,3]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[5,2,1]
[2,7,4,1,5,6,8,3]=>[1,5,6,8,2,7,3,4]=>[1,8,7,3,5,6,2,4]=>[4,2,1,1]
[4,7,6,1,5,2,8,3]=>[1,5,2,8,3,4,7,6]=>[1,5,8,3,2,7,4,6]=>[4,2,2]
[1,7,6,4,5,2,8,3]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[5,2,1]
[7,8,5,4,1,6,2,3]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[7,1]
[6,1,5,4,3,7,8,2]=>[1,5,2,3,7,8,4,6]=>[1,5,2,8,3,4,7,6]=>[5,2,1]
[7,5,6,4,2,1,8,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[7,1]
[7,4,6,2,5,1,8,3]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[5,1,1,1]
[6,1,4,3,5,7,8,2]=>[1,4,2,3,5,7,8,6]=>[1,4,2,3,5,8,7,6]=>[5,2,1]
[7,2,6,4,5,1,8,3]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[5,1,1,1]
[8,2,3,6,5,7,1,4]=>[1,4,2,3,6,5,7,8]=>[1,4,2,3,6,5,7,8]=>[6,2]
[3,8,2,7,6,1,5,4]=>[1,5,2,7,3,8,4,6]=>[1,5,7,8,2,4,3,6]=>[4,3,1]
[4,8,7,2,6,5,3,1]=>[1,2,6,3,4,8,5,7]=>[1,2,6,3,8,4,5,7]=>[6,2]
[4,8,7,3,1,6,5,2]=>[1,6,2,3,4,8,5,7]=>[1,6,2,3,8,4,5,7]=>[6,2]
[4,8,7,3,2,6,5,1]=>[1,2,6,3,4,8,5,7]=>[1,2,6,3,8,4,5,7]=>[6,2]
[4,8,7,3,6,1,5,2]=>[1,5,2,3,6,4,8,7]=>[1,5,2,6,3,4,8,7]=>[5,3]
[5,8,7,6,3,4,2,1]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>[7,1]
[5,8,7,6,3,1,4,2]=>[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]=>[6,2]
[5,8,7,6,2,4,3,1]=>[1,2,4,3,5,8,6,7]=>[1,2,4,3,5,8,6,7]=>[6,2]
[5,8,7,6,4,2,1,3]=>[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,8,6,7]=>[6,2]
[5,8,7,6,4,1,3,2]=>[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,8,6,7]=>[6,2]
[5,8,7,6,4,3,1,2]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>[7,1]
[7,3,4,2,1,6,5,8]=>[1,6,2,3,4,5,8,7]=>[1,6,2,3,4,5,8,7]=>[6,2]
[7,2,1,5,6,4,3,8]=>[1,5,6,2,3,8,4,7]=>[1,6,2,8,5,3,4,7]=>[5,2,1]
[7,3,5,1,6,4,2,8]=>[1,6,2,8,3,5,4,7]=>[1,6,8,5,3,2,4,7]=>[4,2,1,1]
[7,4,5,6,1,3,2,8]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[6,2]
[1,4,5,7,3,2,8,6]=>[1,4,5,7,2,8,3,6]=>[1,7,8,4,5,3,2,6]=>[4,2,1,1]
[6,3,5,1,7,4,8,2]=>[1,7,2,3,5,4,8,6]=>[1,7,2,5,3,8,4,6]=>[5,2,1]
[6,2,1,5,7,4,8,3]=>[1,5,7,2,3,4,8,6]=>[1,7,2,3,5,8,4,6]=>[5,2,1]
[3,2,1,5,7,4,8,6]=>[1,5,7,2,3,4,8,6]=>[1,7,2,3,5,8,4,6]=>[5,2,1]
[3,2,1,6,7,8,4,5]=>[1,6,7,8,2,3,4,5]=>[1,8,2,3,4,6,7,5]=>[6,1,1]
[5,2,1,6,7,8,4,3]=>[1,6,7,8,2,3,4,5]=>[1,8,2,3,4,6,7,5]=>[6,1,1]
[5,3,4,1,2,7,8,6]=>[1,2,7,8,3,4,5,6]=>[1,2,8,3,4,5,7,6]=>[6,1,1]
[4,2,1,5,7,3,8,6]=>[1,5,7,2,3,8,4,6]=>[1,7,2,8,5,4,3,6]=>[4,2,1,1]
[4,2,1,6,7,8,3,5]=>[1,6,7,8,2,3,5,4]=>[1,8,2,5,3,6,7,4]=>[5,2,1]
[1,5,6,7,8,2,4,3]=>[1,5,6,7,8,2,4,3]=>[1,8,4,2,5,6,7,3]=>[5,2,1]
[1,5,6,7,8,4,2,3]=>[1,5,6,7,8,2,3,4]=>[1,8,2,3,5,6,7,4]=>[6,1,1]
[4,2,1,6,7,8,5,3]=>[1,6,7,8,2,3,4,5]=>[1,8,2,3,4,6,7,5]=>[6,1,1]
[1,4,3,7,2,5,6,8]=>[1,4,2,5,6,8,3,7]=>[1,4,8,2,5,6,3,7]=>[5,2,1]
[1,4,3,7,6,8,2,5]=>[1,4,2,5,3,7,6,8]=>[1,4,5,2,3,7,6,8]=>[5,3]
[1,4,3,7,5,8,2,6]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>[5,3]
[1,5,3,7,4,8,2,6]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[5,3]
[1,5,4,8,2,6,3,7]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[5,3]
[1,5,4,8,3,7,2,6]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[5,3]
[1,2,3,6,5,8,4,7]=>[1,2,3,6,4,7,5,8]=>[1,2,3,6,7,4,5,8]=>[6,2]
[6,8,2,4,5,7,1,3]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[6,2]
[3,7,8,4,5,2,6,1]=>[1,2,6,3,7,8,4,5]=>[1,2,6,8,4,3,7,5]=>[4,2,2]
[7,8,1,4,5,3,6,2]=>[1,4,5,2,3,6,7,8]=>[1,5,2,4,3,6,7,8]=>[6,1,1]
[7,5,1,8,6,2,4,3]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[6,1,1]
[7,3,1,8,4,2,6,5]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[5,1,1,1]
[7,2,8,3,6,5,1,4]=>[1,4,2,8,3,6,5,7]=>[1,4,8,2,6,3,5,7]=>[5,2,1]
[7,2,8,3,6,1,5,4]=>[1,5,2,8,3,6,4,7]=>[1,5,8,6,2,3,4,7]=>[5,2,1]
[6,1,2,8,3,5,4,7]=>[1,2,8,3,5,4,7,6]=>[1,2,8,5,3,7,4,6]=>[5,2,1]
[6,2,4,1,8,7,3,5]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[6,1,1]
[3,1,6,4,2,8,5,7]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[5,2,1]
[2,6,3,8,7,1,5,4]=>[1,5,2,6,3,8,4,7]=>[1,5,6,8,2,3,4,7]=>[5,3]
[2,6,3,8,5,1,4,7]=>[1,4,7,2,6,3,8,5]=>[1,7,6,4,8,2,3,5]=>[4,2,1,1]
[2,5,1,8,3,4,7,6]=>[1,8,2,5,3,4,7,6]=>[1,8,5,3,2,7,4,6]=>[4,2,1,1]
[1,2,5,3,8,4,7,6]=>[1,2,5,3,8,4,7,6]=>[1,2,5,8,3,7,4,6]=>[5,2,1]
[1,2,4,8,3,7,6,5]=>[1,2,4,8,3,7,5,6]=>[1,2,8,4,7,5,3,6]=>[5,1,1,1]
[2,4,8,3,7,6,1,5]=>[1,5,2,4,8,3,7,6]=>[1,5,8,2,4,7,3,6]=>[4,2,2]
[2,5,3,8,1,7,4,6]=>[1,7,2,5,3,8,4,6]=>[1,7,5,8,2,4,3,6]=>[4,2,1,1]
[5,2,3,8,4,7,1,6]=>[1,6,2,3,8,4,7,5]=>[1,6,2,8,7,3,4,5]=>[5,2,1]
[4,8,2,3,7,6,1,5]=>[1,5,2,3,7,4,8,6]=>[1,5,2,7,3,8,4,6]=>[5,3]
[1,4,8,3,7,2,6,5]=>[1,4,8,2,6,3,7,5]=>[1,8,6,4,7,2,3,5]=>[4,2,1,1]
[6,3,8,1,5,2,4,7]=>[1,5,2,4,7,3,8,6]=>[1,5,7,2,4,8,3,6]=>[4,3,1]
[5,3,8,1,2,4,7,6]=>[1,2,4,7,3,8,5,6]=>[1,2,7,4,8,5,3,6]=>[5,2,1]
[5,1,3,8,2,4,7,6]=>[1,3,8,2,4,7,5,6]=>[1,8,3,2,7,5,4,6]=>[4,2,1,1]
[1,5,3,8,2,4,7,6]=>[1,5,2,4,7,3,8,6]=>[1,5,7,2,4,8,3,6]=>[4,3,1]
[5,4,8,1,2,7,6,3]=>[1,2,7,3,4,8,5,6]=>[1,2,7,3,8,5,4,6]=>[5,2,1]
[6,5,1,2,8,7,4,3]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[7,1]
[4,1,5,8,2,7,6,3]=>[1,5,8,2,7,3,4,6]=>[1,8,7,3,5,4,2,6]=>[4,1,1,1,1]
[4,1,2,5,8,7,6,3]=>[1,2,5,8,3,4,6,7]=>[1,2,8,3,5,4,6,7]=>[6,1,1]
[1,3,5,2,8,7,4,6]=>[1,3,5,2,8,4,6,7]=>[1,5,3,8,2,4,6,7]=>[5,2,1]
[3,5,1,2,8,7,4,6]=>[1,2,8,3,5,4,6,7]=>[1,2,8,5,3,4,6,7]=>[6,1,1]
[4,3,1,5,8,2,7,6]=>[1,5,8,2,7,3,4,6]=>[1,8,7,3,5,4,2,6]=>[4,1,1,1,1]
[3,4,8,1,2,7,6,5]=>[1,2,7,3,4,8,5,6]=>[1,2,7,3,8,5,4,6]=>[5,2,1]
[4,3,1,2,5,8,7,6]=>[1,2,5,8,3,4,6,7]=>[1,2,8,3,5,4,6,7]=>[6,1,1]
[2,3,5,1,8,7,6,4]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>[6,1,1]
[7,8,2,1,5,3,6,4]=>[1,5,2,3,6,4,7,8]=>[1,5,2,6,3,4,7,8]=>[6,2]
[6,4,1,2,7,3,5,8]=>[1,2,7,3,5,8,4,6]=>[1,2,7,8,3,4,5,6]=>[6,2]
[6,3,1,5,4,2,7,8]=>[1,5,2,7,8,3,4,6]=>[1,5,8,3,2,4,7,6]=>[4,2,2]
[7,8,2,5,4,1,3,6]=>[1,3,6,2,5,4,7,8]=>[1,6,3,5,2,4,7,8]=>[5,2,1]
[7,8,2,5,4,6,1,3]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[6,2]
[6,2,1,5,4,7,3,8]=>[1,5,2,3,8,4,7,6]=>[1,5,2,8,3,7,4,6]=>[5,2,1]
[5,3,6,2,4,7,1,8]=>[1,8,2,4,7,3,6,5]=>[1,8,7,2,6,3,4,5]=>[5,1,1,1]
[6,4,2,1,7,3,8,5]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[5,2,1]
[5,7,6,3,8,4,1,2]=>[1,2,3,8,4,5,7,6]=>[1,2,3,8,4,7,5,6]=>[6,1,1]
[4,7,6,5,2,1,3,8]=>[1,3,8,2,4,7,5,6]=>[1,8,3,2,7,5,4,6]=>[4,2,1,1]
[4,7,6,5,1,8,3,2]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[5,1,1,1]
[1,7,6,5,2,8,3,4]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[5,2,1]
[1,7,6,5,3,2,8,4]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[5,2,1]
[4,7,6,5,3,1,8,2]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[5,1,1,1]
[4,7,1,6,2,3,8,5]=>[1,6,2,3,8,4,7,5]=>[1,6,2,8,7,3,4,5]=>[5,2,1]
[1,2,6,7,4,8,5,3]=>[1,2,6,7,3,4,8,5]=>[1,2,7,3,8,6,4,5]=>[5,2,1]
[4,7,6,3,5,8,1,2]=>[1,2,3,5,8,4,7,6]=>[1,2,3,8,5,7,4,6]=>[5,2,1]
[3,7,6,5,2,4,1,8]=>[1,8,2,4,3,7,5,6]=>[1,8,4,2,7,5,3,6]=>[4,2,1,1]
[1,7,6,5,8,2,4,3]=>[1,7,2,4,3,5,8,6]=>[1,7,4,2,3,8,5,6]=>[5,2,1]
[3,7,6,5,8,1,4,2]=>[1,4,2,3,7,5,8,6]=>[1,4,2,3,7,8,5,6]=>[5,3]
[3,7,6,5,1,2,4,8]=>[1,2,4,8,3,7,5,6]=>[1,2,8,4,7,5,3,6]=>[5,1,1,1]
[4,7,6,8,3,5,1,2]=>[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>[6,2]
[2,7,6,5,8,4,1,3]=>[1,3,2,7,4,5,8,6]=>[1,3,2,7,4,8,5,6]=>[5,3]
[3,7,5,8,2,4,1,6]=>[1,6,2,4,3,7,5,8]=>[1,6,4,2,7,3,5,8]=>[5,2,1]
[5,1,2,6,4,3,8,7]=>[1,2,6,3,8,4,5,7]=>[1,2,6,8,4,3,5,7]=>[5,2,1]
[4,1,5,7,8,3,2,6]=>[1,5,7,8,2,6,3,4]=>[1,8,6,3,5,2,7,4]=>[4,2,1,1]
[4,7,1,8,3,6,2,5]=>[1,8,2,5,3,6,4,7]=>[1,8,5,6,2,3,4,7]=>[5,2,1]
[4,7,1,6,3,2,8,5]=>[1,6,2,8,3,4,7,5]=>[1,6,8,3,7,2,4,5]=>[4,2,2]
[7,1,2,3,8,6,5,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[7,1]
[6,8,1,4,3,7,2,5]=>[1,4,2,5,3,7,6,8]=>[1,4,5,2,3,7,6,8]=>[5,3]
[8,7,3,2,4,1,6,5]=>[1,6,2,4,3,5,7,8]=>[1,6,4,2,3,5,7,8]=>[6,1,1]
[6,7,1,4,3,8,2,5]=>[1,4,2,5,3,8,6,7]=>[1,4,5,2,3,8,6,7]=>[5,3]
[8,1,2,3,5,7,6,4]=>[1,2,3,5,7,4,6,8]=>[1,2,3,7,5,4,6,8]=>[6,1,1]
[7,1,2,3,6,8,5,4]=>[1,2,3,6,8,4,5,7]=>[1,2,3,8,4,6,5,7]=>[6,1,1]
[7,1,8,5,4,3,2,6]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[5,1,1,1]
[6,7,2,8,3,4,1,5]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[5,2,1]
[3,8,7,1,4,2,6,5]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,8,3,5,7]=>[5,3]
[3,7,8,1,4,2,6,5]=>[1,4,2,6,3,7,8,5]=>[1,4,6,2,8,3,7,5]=>[4,3,1]
[3,5,7,8,2,4,1,6]=>[1,6,2,4,3,5,7,8]=>[1,6,4,2,3,5,7,8]=>[6,1,1]
[8,6,2,7,3,1,4,5]=>[1,4,5,2,7,3,6,8]=>[1,5,7,4,2,3,6,8]=>[5,2,1]
[5,8,3,7,1,4,2,6]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>[5,3]
[6,7,3,2,4,1,8,5]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[6,1,1]
[8,7,2,4,3,6,1,5]=>[1,5,2,4,3,6,7,8]=>[1,5,4,2,3,6,7,8]=>[6,1,1]
[7,1,2,3,5,6,8,4]=>[1,2,3,5,6,8,4,7]=>[1,2,3,8,5,6,4,7]=>[6,1,1]
[6,1,2,3,8,7,4,5]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[7,1]
[5,1,2,3,7,8,6,4]=>[1,2,3,7,8,4,5,6]=>[1,2,3,8,4,5,7,6]=>[6,1,1]
[7,6,3,2,4,8,1,5]=>[1,5,2,4,8,3,6,7]=>[1,5,8,2,4,3,6,7]=>[5,2,1]
[8,6,3,2,4,7,1,5]=>[1,5,2,4,7,3,6,8]=>[1,5,7,2,4,3,6,8]=>[5,2,1]
[7,6,2,4,3,1,8,5]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>[6,1,1]
[3,4,8,5,7,6,1,2]=>[1,2,3,4,8,5,7,6]=>[1,2,3,4,8,7,5,6]=>[6,1,1]
[7,4,6,1,5,2,3,8]=>[1,5,2,3,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>[6,2]
[6,8,1,4,7,2,3,5]=>[1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>[6,1,1]
[1,6,3,8,5,4,2,7]=>[1,6,2,7,3,8,4,5]=>[1,6,7,8,4,2,3,5]=>[4,3,1]
[7,1,3,6,5,4,2,8]=>[1,3,6,2,8,4,5,7]=>[1,6,3,8,4,2,5,7]=>[5,2,1]
[1,6,2,3,8,5,4,7]=>[1,6,2,3,8,4,7,5]=>[1,6,2,8,7,3,4,5]=>[5,2,1]
[1,5,8,2,7,6,3,4]=>[1,5,8,2,7,3,4,6]=>[1,8,7,3,5,4,2,6]=>[4,1,1,1,1]
[5,8,2,7,6,3,4,1]=>[1,2,7,3,4,5,8,6]=>[1,2,7,3,4,8,5,6]=>[6,2]
[2,5,1,8,7,6,3,4]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[5,1,1,1]
[1,2,5,3,8,7,4,6]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>[6,2]
[2,5,3,8,7,1,6,4]=>[1,6,2,5,3,8,4,7]=>[1,6,5,8,2,3,4,7]=>[5,2,1]
[5,3,8,4,1,7,6,2]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[5,2,1]
[4,2,8,7,6,3,5,1]=>[1,2,8,3,5,4,6,7]=>[1,2,8,5,3,4,6,7]=>[6,1,1]
[6,3,1,8,7,2,5,4]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>[5,1,1,1]
[5,1,3,8,7,6,2,4]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>[6,1,1]
[1,5,3,8,7,6,2,4]=>[1,5,2,4,3,8,6,7]=>[1,5,4,2,3,8,6,7]=>[5,2,1]
[5,1,8,4,7,2,6,3]=>[1,8,2,6,3,4,7,5]=>[1,8,6,3,7,2,4,5]=>[4,2,1,1]
[1,3,2,5,8,7,4,6]=>[1,3,2,5,8,4,6,7]=>[1,3,2,8,5,4,6,7]=>[5,2,1]
[3,5,1,8,7,4,6,2]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>[6,1,1]
[4,5,2,8,7,1,3,6]=>[1,3,6,2,8,4,5,7]=>[1,6,3,8,4,2,5,7]=>[5,2,1]
[3,4,8,7,6,2,1,5]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>[6,2]
[3,4,8,7,6,5,1,2]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[7,1]
[1,3,4,8,7,6,2,5]=>[1,3,4,8,2,5,6,7]=>[1,8,3,4,2,5,6,7]=>[6,1,1]
[3,4,8,7,6,2,5,1]=>[1,2,5,3,4,8,6,7]=>[1,2,5,3,4,8,6,7]=>[6,2]
[3,2,5,8,7,4,6,1]=>[1,2,5,8,3,4,6,7]=>[1,2,8,3,5,4,6,7]=>[6,1,1]
[2,1,3,5,8,7,4,6]=>[1,3,5,8,2,4,6,7]=>[1,8,3,2,5,4,6,7]=>[5,2,1]
[1,2,7,5,8,6,4,3]=>[1,2,7,3,4,5,8,6]=>[1,2,7,3,4,8,5,6]=>[6,2]
[6,8,1,3,7,5,2,4]=>[1,3,7,2,4,5,6,8]=>[1,7,3,2,4,5,6,8]=>[6,1,1]
[8,1,2,6,7,3,5,4]=>[1,2,6,7,3,5,4,8]=>[1,2,7,5,3,6,4,8]=>[5,2,1]
[2,6,8,3,7,1,5,4]=>[1,5,2,6,8,3,7,4]=>[1,5,8,7,2,6,3,4]=>[4,2,1,1]
[2,8,6,4,7,1,5,3]=>[1,5,2,8,3,4,7,6]=>[1,5,8,3,2,7,4,6]=>[4,2,2]
[8,4,7,2,3,6,1,5]=>[1,5,2,3,6,4,7,8]=>[1,5,2,6,3,4,7,8]=>[6,2]
[8,5,7,4,2,6,1,3]=>[1,3,2,6,4,5,7,8]=>[1,3,2,6,4,5,7,8]=>[6,2]
[8,2,4,7,3,6,1,5]=>[1,5,2,4,7,3,6,8]=>[1,5,7,2,4,3,6,8]=>[5,2,1]
[8,2,7,1,4,6,3,5]=>[1,4,6,2,7,3,5,8]=>[1,6,7,4,3,2,5,8]=>[4,2,1,1]
[8,4,7,1,3,6,2,5]=>[1,3,6,2,5,4,7,8]=>[1,6,3,5,2,4,7,8]=>[5,2,1]
[1,8,4,5,7,2,6,3]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>[5,1,1,1]
[8,3,5,7,1,6,2,4]=>[1,6,2,4,3,5,7,8]=>[1,6,4,2,3,5,7,8]=>[6,1,1]
[1,6,8,3,7,5,2,4]=>[1,6,8,2,4,3,7,5]=>[1,8,4,2,7,6,3,5]=>[4,2,1,1]
[8,6,4,7,3,1,5,2]=>[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>[6,2]
[8,4,5,7,3,1,6,2]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[7,1]
[2,8,4,5,7,1,6,3]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[5,2,1]
[8,7,3,4,5,1,6,2]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[7,1]
[8,7,4,5,2,6,1,3]=>[1,3,2,6,4,5,7,8]=>[1,3,2,6,4,5,7,8]=>[6,2]
[8,7,2,3,4,6,1,5]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>[7,1]
Map
runsort
Description
The permutation obtained by sorting the increasing runs lexicographically.
Map
descent views to invisible inversion bottoms
Description
Return a permutation whose multiset of invisible inversion bottoms is the multiset of descent views of the given permutation.
An invisible inversion of a permutation $\sigma$ is a pair $i < j$ such that $i < \sigma(j) < \sigma(i)$. The element $\sigma(j)$ is then an invisible inversion bottom.
A descent view in a permutation $\pi$ is an element $\pi(j)$ such that $\pi(i+1) < \pi(j) < \pi(i)$, and additionally the smallest element in the decreasing run containing $\pi(i)$ is smaller than the smallest element in the decreasing run containing $\pi(j)$.
This map is a bijection $\chi:\mathfrak S_n \to \mathfrak S_n$, such that
An invisible inversion of a permutation $\sigma$ is a pair $i < j$ such that $i < \sigma(j) < \sigma(i)$. The element $\sigma(j)$ is then an invisible inversion bottom.
A descent view in a permutation $\pi$ is an element $\pi(j)$ such that $\pi(i+1) < \pi(j) < \pi(i)$, and additionally the smallest element in the decreasing run containing $\pi(i)$ is smaller than the smallest element in the decreasing run containing $\pi(j)$.
This map is a bijection $\chi:\mathfrak S_n \to \mathfrak S_n$, such that
- the multiset of descent views in $\pi$ is the multiset of invisible inversion bottoms in $\chi(\pi)$,
- the set of left-to-right maximima of $\pi$ is the set of maximal elements in the cycles of $\chi(\pi)$,
- the set of global ascent of $\pi$ is the set of global ascent of $\chi(\pi)$,
- the set of maximal elements in the decreasing runs of $\pi$ is the set of deficiency positions of $\chi(\pi)$, and
- the set of minimal elements in the decreasing runs of $\pi$ is the set of deficiency values of $\chi(\pi)$.
Map
Robinson-Schensted tableau shape
Description
Sends a permutation to its Robinson-Schensted tableau shape.
The Robinson-Schensted corrspondence is a bijection between permutations of length $n$ and pairs of standard Young tableaux of the same shape and of size $n$, see [1]. These two tableaux are the insertion tableau and the recording tableau.
This map sends a permutation to the shape of its corresponding insertion and recording tableau.
The Robinson-Schensted corrspondence is a bijection between permutations of length $n$ and pairs of standard Young tableaux of the same shape and of size $n$, see [1]. These two tableaux are the insertion tableau and the recording tableau.
This map sends a permutation to the shape of its corresponding insertion and recording tableau.
searching the database
Sorry, this map was not found in the database.